question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
If each item costs -8 dollars and the total cost is -216, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
What is 294 + -44?
Add the two numbers.
Add 294 and -44.
250
What is 34 × 57?
Multiply the numbers.
Multiply 34 by 57.
1938
Solve for x: -12x + 2 = -226
Solve the linear equation.
Subtract b from both sides, then divide by a.
19
What is -40 - 14?
Subtract the second number from the first.
Subtract 14 from -40.
-54
What is 175 + 198?
Add the two numbers.
Add 175 and 198.
373
What is -225 + -120?
Add the two numbers.
Add -225 and -120.
-345
What is -6^3?
Evaluate the integer exponent.
Multiply -6 by itself 3 times (0th power = 1).
-216
Simplify 33/11
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
Solve for x: -1x + 18 = 3
Solve the linear equation.
Subtract b from both sides, then divide by a.
15
Solve: -7x + 16 ≤ 2
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 2
Simplify -6/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
What is -39 × -53?
Multiply the numbers.
Multiply -39 by -53.
2067
What is 6^0?
Evaluate the integer exponent.
Multiply 6 by itself 0 times (0th power = 1).
1
What is -7^5?
Evaluate the integer exponent.
Multiply -7 by itself 5 times (0th power = 1).
-16807
What is -199 - 11?
Subtract the second number from the first.
Subtract 11 from -199.
-210
Solve: 6x + 3 < 63
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 10
Solve for x: -12x + -11 = 13
Solve the linear equation.
Subtract b from both sides, then divide by a.
-2
What is 176 ÷ 16?
Divide evenly.
Divide 176 by 16.
11
Solve for x: 2x + -5 = -13
Solve the linear equation.
Subtract b from both sides, then divide by a.
-4
What is -169 + -160?
Add the two numbers.
Add -169 and -160.
-329
What is -4^4?
Evaluate the integer exponent.
Multiply -4 by itself 4 times (0th power = 1).
256
What is 47 × -52?
Multiply the numbers.
Multiply 47 by -52.
-2444
Solve for x: 9x + 6 = 105
Solve the linear equation.
Subtract b from both sides, then divide by a.
11
If each item costs 10 dollars and the total cost is 300, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
30
Solve for x: 3(x + 2) = 6
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
What is -5^4?
Evaluate the integer exponent.
Multiply -5 by itself 4 times (0th power = 1).
625
Solve: -8x + 15 ≤ 167
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -19
What is -185 - -129?
Subtract the second number from the first.
Subtract -129 from -185.
-56
What is 198 ÷ -22?
Divide evenly.
Divide 198 by -22.
-9
Solve: 2x + 8 < -32
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -20
What is 7^4?
Evaluate the integer exponent.
Multiply 7 by itself 4 times (0th power = 1).
2401
What is -280 ÷ -14?
Divide evenly.
Divide -280 by -14.
20
Simplify -6/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-3
If each item costs 20 dollars and the total cost is -180, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-9
If each item costs 17 dollars and the total cost is 68, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
What is -206 + 2?
Add the two numbers.
Add -206 and 2.
-204
What is 267 + -227?
Add the two numbers.
Add 267 and -227.
40
Simplify 45/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
If each item costs 8 dollars and the total cost is -88, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-11
Solve: -2x + 10 ≥ 32
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -11
What is 4^1?
Evaluate the integer exponent.
Multiply 4 by itself 1 times (0th power = 1).
4
If each item costs 10 dollars and the total cost is -130, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-13
What is -15 ÷ -5?
Divide evenly.
Divide -15 by -5.
3
What is -259 + 216?
Add the two numbers.
Add -259 and 216.
-43
What is 96 ÷ -8?
Divide evenly.
Divide 96 by -8.
-12
Solve for x: -8(x + -1) = -104
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
Simplify -26/13
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
If each item costs -2 dollars and the total cost is -16, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
8
What is -16 × 15?
Multiply the numbers.
Multiply -16 by 15.
-240
What is -260 - -177?
Subtract the second number from the first.
Subtract -177 from -260.
-83
Simplify -96/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-8
Simplify 10/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
If each item costs -6 dollars and the total cost is -24, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
4
What is 46 - 262?
Subtract the second number from the first.
Subtract 262 from 46.
-216
What is 101 - 174?
Subtract the second number from the first.
Subtract 174 from 101.
-73
What is 243 + -96?
Add the two numbers.
Add 243 and -96.
147
What is 79 + -281?
Add the two numbers.
Add 79 and -281.
-202
Solve for x: 6x + -22 = -124
Solve the linear equation.
Subtract b from both sides, then divide by a.
-17
What is -3^5?
Evaluate the integer exponent.
Multiply -3 by itself 5 times (0th power = 1).
-243
Solve for x: 8(x + -13) = -48
Solve a two-step equation.
Divide both sides by a, then subtract b.
7
What is 10 × 32?
Multiply the numbers.
Multiply 10 by 32.
320
Solve for x: 11x + 22 = 44
Solve the linear equation.
Subtract b from both sides, then divide by a.
2
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 for x: 6(x + -8) = -126
Solve a two-step equation.
Divide both sides by a, then subtract b.
-13
What is -21 × 32?
Multiply the numbers.
Multiply -21 by 32.
-672
Simplify -9/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
What is -32 + -65?
Add the two numbers.
Add -32 and -65.
-97
Simplify 90/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
Solve for x: -4(x + -15) = 36
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
Solve for x: 1(x + -11) = 1
Solve a two-step equation.
Divide both sides by a, then subtract b.
12
If each item costs 3 dollars and the total cost is 81, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
Simplify -8/4
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
Solve for x: 3(x + 2) = 36
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
Solve for x: -2x + 10 = -16
Solve the linear equation.
Subtract b from both sides, then divide by a.
13
Solve: 4x + -17 > -81
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -16
What is 80 - 52?
Subtract the second number from the first.
Subtract 52 from 80.
28
What is 160 ÷ 20?
Divide evenly.
Divide 160 by 20.
8
Simplify -96/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
Solve for x: 2(x + -11) = -38
Solve a two-step equation.
Divide both sides by a, then subtract b.
-8
If each item costs 16 dollars and the total cost is -144, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-9
What is 51 × 51?
Multiply the numbers.
Multiply 51 by 51.
2601
What is 270 - 223?
Subtract the second number from the first.
Subtract 223 from 270.
47
If each item costs 12 dollars and the total cost is 24, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
2
What is 53 + -40?
Add the two numbers.
Add 53 and -40.
13
What is 41 + -179?
Add the two numbers.
Add 41 and -179.
-138
Simplify 72/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
6
Simplify -33/3
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-11
Solve for x: -6(x + 8) = -42
Solve a two-step equation.
Divide both sides by a, then subtract b.
-1
If each item costs 10 dollars and the total cost is 230, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
23
Solve for x: 6x + -23 = -119
Solve the linear equation.
Subtract b from both sides, then divide by a.
-16
If each item costs -1 dollars and the total cost is 4, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-4
If each item costs 14 dollars and the total cost is 378, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
27
What is -18 × -8?
Multiply the numbers.
Multiply -18 by -8.
144
What is 7^2?
Evaluate the integer exponent.
Multiply 7 by itself 2 times (0th power = 1).
49
Simplify 1/1
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
1
Solve for x: 8(x + -3) = -64
Solve a two-step equation.
Divide both sides by a, then subtract b.
-5
What is 38 ÷ 2?
Divide evenly.
Divide 38 by 2.
19
Solve for x: -5x + -12 = -47
Solve the linear equation.
Subtract b from both sides, then divide by a.
7
What is -9 ÷ -3?
Divide evenly.
Divide -9 by -3.
3