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SAReasoning-500000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|-2x + -9\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -5x + 11 = 101	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Solve: \|4x + -1\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -10x + -3 > 167	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -17
Solve: \|2x + 1\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	1, -2
Solve: -5x + 20 > -50	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 14
What is -34% of 200?	Compute the percent value (integer-safe).	Compute -34/100 × 200.	-68
Solve: \|8x + 8\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ -1
Solve for x: -3x + -9 = -18	Solve the linear equation.	Subtract b from both sides, then divide by a.	3
What is -45% of 100?	Compute the percent value (integer-safe).	Compute -45/100 × 100.	-45
Solve for x: -5x + -9 = 56	Solve the linear equation.	Subtract b from both sides, then divide by a.	-13
Simplify: 7x + -8x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x - 8y
Solve: 6x + 11 ≤ -43	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -9
Solve: \|6x + 10\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-2
Solve: 2x + 2 ≤ -20	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -11
What is -28% of 50?	Compute the percent value (integer-safe).	Compute -28/100 × 50.	-14
What is 134% of 300?	Compute the percent value (integer-safe).	Compute 134/100 × 300.	402
Solve: \|-6x + -2\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 0
Solve: -8x + -2 ≤ -130	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 16
Solve: 6x + 6 < -60	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -11
Solve for x: 3(x + 2) = -6	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4
If each item costs 11 dollars and the total cost is -154, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-14
Solve: 3x + -19 ≤ -79	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -20
Solve for x: -2(x + 11) = -12	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
What is -32% of 100?	Compute the percent value (integer-safe).	Compute -32/100 × 100.	-32
Solve: \|-4x + 9\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1
Solve: -5x + -6 ≤ 59	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -13
Solve for x: 5(x + -10) = -85	Solve a two-step equation.	Divide both sides by a, then subtract b.	-7
Simplify: -2x + -3x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5x - 1y
Solve: 7x + -1 < 34	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 5
Solve: \|1x + -14\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	19, 9
Solve: \|-6x + 5\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 3x + -11 = 1	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
Solve for x: -7x + -17 = -115	Solve the linear equation.	Subtract b from both sides, then divide by a.	14
Solve: -3x + 1 > -59	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 20
If each item costs 5 dollars and the total cost is 145, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Solve for x: 5x + -13 = 87	Solve the linear equation.	Subtract b from both sides, then divide by a.	20
Solve for x: -1x + -8 = -14	Solve the linear equation.	Subtract b from both sides, then divide by a.	6
Simplify: 8x + -7x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 6y
If each item costs -3 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	0
Simplify: 0x + 7x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	7x + 6y
Solve: -8x + -1 > -113	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 14
Simplify: -2x + -7x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-9x + 1y
Solve: \|-1x + 12\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	4 ≤ x ≤ 20
Solve: \|3x + 1\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-6
Solve for x: -2(x + 2) = -34	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
Solve: -10x + -11 ≤ -111	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 10
Simplify: 0x + -2x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 2y
Solve: \|-5x + -10\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-3, -1
Solve: \|2x + 3\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 1
Simplify: -3x + -1x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x - 5y
Solve: \|3x + 9\| = 15	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2, -8
Solve: -5x + 13 > 43	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -6
Solve for x: -10x + 4 = 94	Solve the linear equation.	Subtract b from both sides, then divide by a.	-9
Solve: -5x + 2 ≥ -68	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 14
Solve: \|7x + 20\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -2
Solve: 8x + -17 > 103	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 15
Solve: \|-2x + 0\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-9 ≤ x ≤ 9
What is -43% of 200?	Compute the percent value (integer-safe).	Compute -43/100 × 200.	-86
Simplify: 4x + 4x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x - 6y
Simplify: 2x + 0x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 2y
What is 30% of 80?	Compute the percent value (integer-safe).	Compute 30/100 × 80.	24
Solve for x: -4(x + -6) = -4	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
Solve for x: -10x + 24 = 204	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
Solve: \|7x + -11\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 2
Solve for x: 12x + -7 = 101	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
If each item costs -5 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	0
Solve: \|7x + 0\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 0
What is -48% of 50?	Compute the percent value (integer-safe).	Compute -48/100 × 50.	-24
Solve for x: 5(x + -8) = -10	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
What is 49% of 100?	Compute the percent value (integer-safe).	Compute 49/100 × 100.	49
Simplify: -6x + -8x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-14x - 4y
Solve: -9x + -3 ≤ 33	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -4
Solve for x: -10x + -18 = -138	Solve the linear equation.	Subtract b from both sides, then divide by a.	12
Simplify: -6x + 4x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x + 3y
What is 59% of 100?	Compute the percent value (integer-safe).	Compute 59/100 × 100.	59
Solve: \|-1x + 3\| = 1	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2, 4
Solve for x: -8x + -12 = -172	Solve the linear equation.	Subtract b from both sides, then divide by a.	20
What is 53% of 900?	Compute the percent value (integer-safe).	Compute 53/100 × 900.	477
Solve for x: 3x + -16 = -13	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
What is 13% of 500?	Compute the percent value (integer-safe).	Compute 13/100 × 500.	65
Simplify: -8x + 2x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x - 4y
Solve: \|5x + -12\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 5
Solve: \|7x + 1\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-3
Solve for x: -4x + 5 = 29	Solve the linear equation.	Subtract b from both sides, then divide by a.	-6
If each item costs -3 dollars and the total cost is 12, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-4
Solve: -4x + 13 ≤ 1	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 3
Solve for x: 7(x + -8) = 42	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
What is 72% of 225?	Compute the percent value (integer-safe).	Compute 72/100 × 225.	162
Solve: 6x + 14 > 8	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -1
Solve for x: 6x + 8 = -94	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
What is 8% of 175?	Compute the percent value (integer-safe).	Compute 8/100 × 175.	14
Solve: -8x + -11 < -139	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 16
Solve: \|1x + -17\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	7 ≤ x ≤ 27
Solve: \|-5x + -7\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 130% of 50?	Compute the percent value (integer-safe).	Compute 130/100 × 50.	65
If each item costs 7 dollars and the total cost is 189, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	27
If each item costs -5 dollars and the total cost is 80, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-16
What is 29% of 0?	Compute the percent value (integer-safe).	Compute 29/100 × 0.	0
Solve: \|-8x + 5\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions