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SAReasoning-10000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringclasses 940 values	answer stringlengths 1 20
Solve for x: 1(x + -8) = -23	Solve a two-step equation.	Divide both sides by a, then subtract b.	-15
If each item costs 13 dollars and the total cost is -156, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-12
Solve for x: -6(x + 3) = -54	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
Simplify: -7x + -8x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-15x - 6y
If each item costs 6 dollars and the total cost is -36, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Solve for x: -6x + 15 = -75	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
Simplify: -1x + 6x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x
Solve for x: 11x + -3 = -113	Solve the linear equation.	Subtract b from both sides, then divide by a.	-10
What is 21% of 200?	Compute the percent value (integer-safe).	Compute 21/100 × 200.	42
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.	28
Solve for x: 5(x + -12) = -125	Solve a two-step equation.	Divide both sides by a, then subtract b.	-13
What is 38% of 450?	Compute the percent value (integer-safe).	Compute 38/100 × 450.	171
Solve: \|-7x + 8\| = 14	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 5(x + -13) = 5	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
Solve: \|4x + 3\| = 6	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -1(x + 9) = 5	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
Solve: \|-6x + 12\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 1(x + -1) = -4	Solve a two-step equation.	Divide both sides by a, then subtract b.	-3
What is -9% of 500?	Compute the percent value (integer-safe).	Compute -9/100 × 500.	-45
What is 3% of 1000?	Compute the percent value (integer-safe).	Compute 3/100 × 1000.	30
Solve: \|-6x + 4\| = 20	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	4
Solve: -3x + -10 ≥ -52	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 14
Simplify: 0x + -1x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x + 2y
Solve for x: -11x + 21 = 87	Solve the linear equation.	Subtract b from both sides, then divide by a.	-6
What is 52% of 100?	Compute the percent value (integer-safe).	Compute 52/100 × 100.	52
Solve for x: 3(x + -9) = -54	Solve a two-step equation.	Divide both sides by a, then subtract b.	-9
Solve: \|5x + 9\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -1
Solve: \|-4x + -8\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|6x + 13\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 3x + -1x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 4y
Solve: \|-6x + -17\| ≤ 3	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -3
Solve: -5x + 7 < -93	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 20
Simplify: 4x + 6x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	10x + 8y
Solve: \|-8x + 6\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|3x + -12\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	7, 1
Simplify: -3x + 6x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x - 8y
Solve: \|-3x + 1\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-2x + -11\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-11, 0
Solve: 7x + -20 ≤ 78	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 14
Solve: \|-8x + -13\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -1
Solve: \|-1x + -14\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-21, -7
Solve for x: 8(x + 11) = -16	Solve a two-step equation.	Divide both sides by a, then subtract b.	-13
Solve for x: -4(x + -11) = 8	Solve a two-step equation.	Divide both sides by a, then subtract b.	9
Solve: \|-3x + -4\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ 4
Simplify: -2x + -2x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x + 1y
Simplify: 3x + 6x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	9x + 8y
Solve: \|-5x + -5\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ 0
Solve for x: -8(x + 3) = 16	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
If each item costs -3 dollars and the total cost is -51, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
Solve for x: 11x + 10 = -166	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
Solve for x: -10x + 27 = 87	Solve the linear equation.	Subtract b from both sides, then divide by a.	-6
Solve for x: -10x + 2 = -8	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
If each item costs 11 dollars and the total cost is -33, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-3
Solve: \|-2x + 14\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	5 ≤ x ≤ 9
Solve: \|-1x + 10\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 23
If each item costs -7 dollars and the total cost is 98, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-14
Simplify: 3x + 5x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x + 5y
Solve: \|-7x + -14\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -2
Simplify: 2x + -5x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x - 1y
If each item costs 7 dollars and the total cost is -56, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-8
Solve: \|-4x + 7\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 3
Solve: \|7x + -8\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-5x + -17\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-7 ≤ x ≤ 0
Solve for x: -5x + -20 = 55	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
Simplify: 7x + 7x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	14x - 2y
Simplify: -7x + -3x + 4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-10x + 4y
Solve for x: -4x + 29 = 13	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
Solve: \|2x + 7\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-12 ≤ x ≤ 5
Solve: \|-4x + -8\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 0
If each item costs 8 dollars and the total cost is -136, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-17
Solve for x: -11x + -27 = -27	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
Solve: \|-3x + -17\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-11 ≤ x ≤ -1
Solve for x: -3(x + -13) = 3	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
Solve for x: -1(x + -3) = -3	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
Solve for x: -1(x + 3) = -18	Solve a two-step equation.	Divide both sides by a, then subtract b.	15
Solve for x: -10x + -4 = -194	Solve the linear equation.	Subtract b from both sides, then divide by a.	19
What is 16% of 75?	Compute the percent value (integer-safe).	Compute 16/100 × 75.	12
What is 11% of 400?	Compute the percent value (integer-safe).	Compute 11/100 × 400.	44
Simplify: -4x + 1x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-3x + 6y
What is 142% of 50?	Compute the percent value (integer-safe).	Compute 142/100 × 50.	71
Solve for x: 8x + 6 = 78	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve for x: -2(x + 1) = 24	Solve a two-step equation.	Divide both sides by a, then subtract b.	-13
Solve: \|-4x + 14\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -1(x + -4) = -9	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
Solve: \|-3x + -1\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-6
Solve: \|-8x + 6\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-5x + 15\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|-5x + 13\| = 3	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	2
Solve: -1x + 18 > 21	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -3
What is 2% of 500?	Compute the percent value (integer-safe).	Compute 2/100 × 500.	10
Solve: \|8x + -7\| = 1	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	1
Solve for x: 6(x + 11) = 96	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve: \|-7x + -15\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -2x + -10 ≥ -50	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 20
Simplify: -8x + -5x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-13x - 6y
Solve: -9x + 3 > -123	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 14
Simplify: -4x + -7x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x + 1y
What is -40% of 25?	Compute the percent value (integer-safe).	Compute -40/100 × 25.	-10
If each item costs -3 dollars and the total cost is -69, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	23
Solve for x: 6(x + 4) = 0	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4