question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
If each item costs 19 dollars and the total cost is -171, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-9
If each item costs -6 dollars and the total cost is -162, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
What is 3^1?
Evaluate the integer exponent.
Multiply 3 by itself 1 times (0th power = 1).
3
Solve for x: 4x + -19 = -39
Solve the linear equation.
Subtract b from both sides, then divide by a.
-5
Solve: 1x + -15 > -33
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -18
If each item costs 16 dollars and the total cost is -176, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
What is 5^3?
Evaluate the integer exponent.
Multiply 5 by itself 3 times (0th power = 1).
125
What is -460 ÷ -23?
Divide evenly.
Divide -460 by -23.
20
What is -34 × 13?
Multiply the numbers.
Multiply -34 by 13.
-442
Solve for x: 1(x + 9) = -5
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14
What is -247 - -129?
Subtract the second number from the first.
Subtract -129 from -247.
-118
What is 4^3?
Evaluate the integer exponent.
Multiply 4 by itself 3 times (0th power = 1).
64
Solve for x: 12x + 30 = 150
Solve the linear equation.
Subtract b from both sides, then divide by a.
10
Solve: 3x + 4 ≥ -14
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -6
Solve for x: 5x + 25 = -30
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
Simplify -3/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
What is 4^5?
Evaluate the integer exponent.
Multiply 4 by itself 5 times (0th power = 1).
1024
Solve for x: -7(x + -12) = -21
Solve a two-step equation.
Divide both sides by a, then subtract b.
15
Solve: 2x + 7 ≤ 47
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 20
Solve for x: 1(x + 10) = 3
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
What is -39 - 298?
Subtract the second number from the first.
Subtract 298 from -39.
-337
Simplify 180/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
12
What is 325 ÷ 25?
Divide evenly.
Divide 325 by 25.
13
Solve for x: -3(x + -5) = -3
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
Solve: -10x + -16 < 184
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -20
Simplify 16/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
What is 156 - 59?
Subtract the second number from the first.
Subtract 59 from 156.
97
What is 100 ÷ -25?
Divide evenly.
Divide 100 by -25.
-4
What is 57 ÷ 3?
Divide evenly.
Divide 57 by 3.
19
What is -242 - -78?
Subtract the second number from the first.
Subtract -78 from -242.
-164
If each item costs -7 dollars and the total cost is -140, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
20
What is -212 - -167?
Subtract the second number from the first.
Subtract -167 from -212.
-45
Simplify -54/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-9
What is -28 × -23?
Multiply the numbers.
Multiply -28 by -23.
644
What is -6^5?
Evaluate the integer exponent.
Multiply -6 by itself 5 times (0th power = 1).
-7776
What is 5^5?
Evaluate the integer exponent.
Multiply 5 by itself 5 times (0th power = 1).
3125
Solve for x: -3(x + 9) = -6
Solve a two-step equation.
Divide both sides by a, then subtract b.
-7
What is -17 - -237?
Subtract the second number from the first.
Subtract -237 from -17.
220
Simplify -26/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
What is -36 + -29?
Add the two numbers.
Add -36 and -29.
-65
What is -4 × -52?
Multiply the numbers.
Multiply -4 by -52.
208
What is -2^4?
Evaluate the integer exponent.
Multiply -2 by itself 4 times (0th power = 1).
16
Simplify 48/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
What is -5^1?
Evaluate the integer exponent.
Multiply -5 by itself 1 times (0th power = 1).
-5
Solve: -4x + 19 < -9
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 7
What is -5^0?
Evaluate the integer exponent.
Multiply -5 by itself 0 times (0th power = 1).
1
What is -228 - 285?
Subtract the second number from the first.
Subtract 285 from -228.
-513
Solve for x: -12x + 27 = -69
Solve the linear equation.
Subtract b from both sides, then divide by a.
8
What is -4^5?
Evaluate the integer exponent.
Multiply -4 by itself 5 times (0th power = 1).
-1024
What is -262 + 99?
Add the two numbers.
Add -262 and 99.
-163
Solve for x: 11x + -9 = -130
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
Simplify 4/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
What is 7^3?
Evaluate the integer exponent.
Multiply 7 by itself 3 times (0th power = 1).
343
Simplify 15/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
What is -20 ÷ -2?
Divide evenly.
Divide -20 by -2.
10
What is 280 - 248?
Subtract the second number from the first.
Subtract 248 from 280.
32
Solve for x: 2(x + -3) = -16
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
What is -208 + 74?
Add the two numbers.
Add -208 and 74.
-134
Solve: -8x + 9 ≤ 1
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 1
What is 28 ÷ 7?
Divide evenly.
Divide 28 by 7.
4
What is 154 ÷ -11?
Divide evenly.
Divide 154 by -11.
-14
Solve for x: -6(x + 13) = -78
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
What is -2^1?
Evaluate the integer exponent.
Multiply -2 by itself 1 times (0th power = 1).
-2
What is -103 + -275?
Add the two numbers.
Add -103 and -275.
-378
If each item costs 5 dollars and the total cost is -25, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-5
Simplify 15/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
Solve for x: 6x + 23 = 89
Solve the linear equation.
Subtract b from both sides, then divide by a.
11
What is -8^0?
Evaluate the integer exponent.
Multiply -8 by itself 0 times (0th power = 1).
1
Solve for x: 3(x + 10) = -12
Solve a two-step equation.
Divide both sides by a, then subtract b.
-14
What is 115 + -179?
Add the two numbers.
Add 115 and -179.
-64
What is -378 ÷ -27?
Divide evenly.
Divide -378 by -27.
14
What is 34 × 14?
Multiply the numbers.
Multiply 34 by 14.
476
What is -44 ÷ 4?
Divide evenly.
Divide -44 by 4.
-11
What is -8^3?
Evaluate the integer exponent.
Multiply -8 by itself 3 times (0th power = 1).
-512
If each item costs -3 dollars and the total cost is 54, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-18
What is -59 × -38?
Multiply the numbers.
Multiply -59 by -38.
2242
What is 14 + -201?
Add the two numbers.
Add 14 and -201.
-187
What is -3^4?
Evaluate the integer exponent.
Multiply -3 by itself 4 times (0th power = 1).
81
What is -192 - -184?
Subtract the second number from the first.
Subtract -184 from -192.
-8
What is -1^0?
Evaluate the integer exponent.
Multiply -1 by itself 0 times (0th power = 1).
1
What is -75 ÷ -15?
Divide evenly.
Divide -75 by -15.
5
Solve for x: -4(x + -5) = 68
Solve a two-step equation.
Divide both sides by a, then subtract b.
-12
What is 442 ÷ 26?
Divide evenly.
Divide 442 by 26.
17
What is -18 × -52?
Multiply the numbers.
Multiply -18 by -52.
936
What is -20 - -156?
Subtract the second number from the first.
Subtract -156 from -20.
136
Simplify 60/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
Solve for x: -3(x + -1) = -3
Solve a two-step equation.
Divide both sides by a, then subtract b.
2
What is -240 ÷ 20?
Divide evenly.
Divide -240 by 20.
-12
What is 85 - -139?
Subtract the second number from the first.
Subtract -139 from 85.
224
What is 198 + -218?
Add the two numbers.
Add 198 and -218.
-20
What is -293 + -117?
Add the two numbers.
Add -293 and -117.
-410
What is -10 - 126?
Subtract the second number from the first.
Subtract 126 from -10.
-136
What is -4^1?
Evaluate the integer exponent.
Multiply -4 by itself 1 times (0th power = 1).
-4
What is 21 × -26?
Multiply the numbers.
Multiply 21 by -26.
-546
Solve: 4x + -5 > 27
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 8
If each item costs -9 dollars and the total cost is -216, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
24
If each item costs 12 dollars and the total cost is -108, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-9
What is -6^5?
Evaluate the integer exponent.
Multiply -6 by itself 5 times (0th power = 1).
-7776
Solve for x: 2x + -30 = -26
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
Solve: -4x + -13 < 7
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -5