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SAReasoning-100000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Solve: \|3x + 11\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 4x + 4x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x - 3y
Solve for x: 1x + -12 = -23	Solve the linear equation.	Subtract b from both sides, then divide by a.	-11
Solve: \|2x + 1\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 3
Solve for x: 10x + -6 = 4	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
Solve: \|-3x + 10\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	7
Solve: \|-6x + 0\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|8x + 9\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ -1
What is 76% of 75?	Compute the percent value (integer-safe).	Compute 76/100 × 75.	57
Solve: \|-1x + 2\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ 9
Solve for x: -2x + -4 = -12	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
Solve for x: 6(x + 10) = 102	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
Simplify: 6x + 2x + 3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x + 3y
Solve: \|-5x + 7\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 8x + 3 < -13	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -2
Solve: -6x + 15 < -93	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 18
Solve for x: -6x + -6 = -102	Solve the linear equation.	Subtract b from both sides, then divide by a.	16
Solve for x: -2x + -15 = 19	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
What is 51% of 0?	Compute the percent value (integer-safe).	Compute 51/100 × 0.	0
Solve for x: 11x + -7 = -7	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
What is 143% of 1000?	Compute the percent value (integer-safe).	Compute 143/100 × 1000.	1430
Solve: \|-8x + -8\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 0
Solve for x: 10x + 20 = 210	Solve the linear equation.	Subtract b from both sides, then divide by a.	19
Simplify: -2x + -3x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5x - 6y
What is 129% of 100?	Compute the percent value (integer-safe).	Compute 129/100 × 100.	129
Simplify: -7x + -4x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x - 8y
Solve for x: 9x + -25 = -52	Solve the linear equation.	Subtract b from both sides, then divide by a.	-3
Solve: \|-8x + -20\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ -1
Solve: \|-3x + 3\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 2x + 0 < -14	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -7
What is -47% of 500?	Compute the percent value (integer-safe).	Compute -47/100 × 500.	-235
Solve: -3x + -15 > 9	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -8
Solve: -6x + -8 ≤ -38	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 5
Solve for x: -7(x + 8) = -133	Solve a two-step equation.	Divide both sides by a, then subtract b.	11
Solve for x: 1(x + 0) = -7	Solve a two-step equation.	Divide both sides by a, then subtract b.	-7
Solve: \|-3x + -7\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 7(x + 11) = 112	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve: \|-3x + 12\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 6
Solve: \|-3x + 7\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	7
What is 120% of 50?	Compute the percent value (integer-safe).	Compute 120/100 × 50.	60
Simplify: -4x + -3x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x - 8y
Simplify: 3x + -6x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x + 1y
Solve: \|6x + 17\| ≤ 8	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ -2
If each item costs -6 dollars and the total cost is -42, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	7
Simplify: -8x + 7x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x - 7y
What is 106% of 100?	Compute the percent value (integer-safe).	Compute 106/100 × 100.	106
Solve for x: 8(x + 13) = 152	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
Solve: \|7x + -11\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2
Solve for x: -1(x + -1) = 13	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
Solve: \|-2x + 11\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2, 9
Solve: \|-5x + -1\| = 16	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	3
Solve: \|2x + -4\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	12, -8
Simplify: 8x + -3x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x - 5y
Solve for x: 5x + -3 = 77	Solve the linear equation.	Subtract b from both sides, then divide by a.	16
If each item costs 0 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	7
Simplify: 8x + -4x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x - 3y
Simplify: -8x + 4x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x + 4y
Solve for x: 7x + 4 = 32	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
Solve for x: -8x + -26 = -186	Solve the linear equation.	Subtract b from both sides, then divide by a.	20
If each item costs 10 dollars and the total cost is 190, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	19
Solve for x: -6x + 14 = 134	Solve the linear equation.	Subtract b from both sides, then divide by a.	-20
Solve for x: 8x + 27 = 43	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
Solve: 3x + 3 < -57	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -20
Solve: -3x + -11 > -50	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 13
What is 31% of 300?	Compute the percent value (integer-safe).	Compute 31/100 × 300.	93
If each item costs -8 dollars and the total cost is -232, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
If each item costs -4 dollars and the total cost is 36, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-9
What is 114% of 500?	Compute the percent value (integer-safe).	Compute 114/100 × 500.	570
Solve: \|-5x + -1\| ≤ 10	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 1
Solve: \|5x + 7\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-3
Solve for x: 3(x + 10) = 9	Solve a two-step equation.	Divide both sides by a, then subtract b.	-7
Solve: \|-6x + 15\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 3
What is 120% of 25?	Compute the percent value (integer-safe).	Compute 120/100 × 25.	30
What is 72% of 25?	Compute the percent value (integer-safe).	Compute 72/100 × 25.	18
Solve: \|-7x + -19\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -3
Simplify: 5x + -6x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x
Solve: \|-6x + -1\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 1
Solve: \|3x + 9\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -7x + 2x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-5x + 7y
Solve: \|-3x + 17\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	3 ≤ x ≤ 8
Solve: -8x + 19 ≥ -5	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 3
Solve for x: -8(x + 0) = -96	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Solve: \|2x + -4\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 8
What is 130% of 50?	Compute the percent value (integer-safe).	Compute 130/100 × 50.	65
Solve: \|5x + -7\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2
Simplify: 2x + -6x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x + 7y
Solve: \|-6x + 7\| = 12	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: -7x + 0x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x + 2y
What is 3% of 300?	Compute the percent value (integer-safe).	Compute 3/100 × 300.	9
Simplify: 8x + 5x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	13x - 4y
What is -49% of 0?	Compute the percent value (integer-safe).	Compute -49/100 × 0.	0
Solve: \|-4x + -1\| = 8	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-1x + -9\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-29 ≤ x ≤ 11
Solve for x: -11x + 26 = 158	Solve the linear equation.	Subtract b from both sides, then divide by a.	-12
Solve for x: -10x + -9 = -139	Solve the linear equation.	Subtract b from both sides, then divide by a.	13
Simplify: 2x + -6x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x + 6y
Solve for x: -1x + -25 = -11	Solve the linear equation.	Subtract b from both sides, then divide by a.	-14
If each item costs 11 dollars and the total cost is 297, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	27
Simplify: 5x + -1x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	4x
Solve: -10x + 19 > -161	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 18