question
stringlengths
12
86
problem
stringclasses
10 values
how_to_solve
stringlengths
12
82
answer
stringlengths
1
7
If each item costs 2 dollars and the total cost is 6, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
3
What is 297 + -169?
Add the two numbers.
Add 297 and -169.
128
What is -247 - -258?
Subtract the second number from the first.
Subtract -258 from -247.
11
What is 144 ÷ -18?
Divide evenly.
Divide 144 by -18.
-8
What is -7^2?
Evaluate the integer exponent.
Multiply -7 by itself 2 times (0th power = 1).
49
What is 7^3?
Evaluate the integer exponent.
Multiply 7 by itself 3 times (0th power = 1).
343
Simplify -16/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
What is 357 ÷ -21?
Divide evenly.
Divide 357 by -21.
-17
Simplify -144/12
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-12
What is 148 + -3?
Add the two numbers.
Add 148 and -3.
145
What is 7^0?
Evaluate the integer exponent.
Multiply 7 by itself 0 times (0th power = 1).
1
If each item costs -4 dollars and the total cost is -116, 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 -32, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
8
Solve: 9x + -1 < 89
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 10
What is 0 ÷ -17?
Divide evenly.
Divide 0 by -17.
0
If each item costs 9 dollars and the total cost is 252, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
28
What is -127 - -164?
Subtract the second number from the first.
Subtract -164 from -127.
37
Solve: 5x + -14 < 46
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < 12
Solve for x: 8x + 23 = 23
Solve the linear equation.
Subtract b from both sides, then divide by a.
0
What is -130 - 8?
Subtract the second number from the first.
Subtract 8 from -130.
-138
What is -197 - -70?
Subtract the second number from the first.
Subtract -70 from -197.
-127
What is -6^0?
Evaluate the integer exponent.
Multiply -6 by itself 0 times (0th power = 1).
1
What is 28 ÷ 14?
Divide evenly.
Divide 28 by 14.
2
If each item costs 3 dollars and the total cost is 42, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
14
What is -5^0?
Evaluate the integer exponent.
Multiply -5 by itself 0 times (0th power = 1).
1
Solve for x: 3x + -26 = -14
Solve the linear equation.
Subtract b from both sides, then divide by a.
4
If each item costs -1 dollars and the total cost is 6, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
-6
What is 320 ÷ -20?
Divide evenly.
Divide 320 by -20.
-16
Solve for x: -3(x + 6) = -18
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
If each item costs 15 dollars and the total cost is 30, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
2
What is -48 ÷ 6?
Divide evenly.
Divide -48 by 6.
-8
What is -2^1?
Evaluate the integer exponent.
Multiply -2 by itself 1 times (0th power = 1).
-2
What is 11 + -204?
Add the two numbers.
Add 11 and -204.
-193
What is 3^3?
Evaluate the integer exponent.
Multiply 3 by itself 3 times (0th power = 1).
27
What is 6^3?
Evaluate the integer exponent.
Multiply 6 by itself 3 times (0th power = 1).
216
Solve for x: -7(x + -14) = 42
Solve a two-step equation.
Divide both sides by a, then subtract b.
8
Solve for x: -4x + -23 = 21
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
What is 1^5?
Evaluate the integer exponent.
Multiply 1 by itself 5 times (0th power = 1).
1
Solve: 3x + -16 ≤ -1
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 5
What is 3^0?
Evaluate the integer exponent.
Multiply 3 by itself 0 times (0th power = 1).
1
What is 95 + -162?
Add the two numbers.
Add 95 and -162.
-67
Simplify 24/6
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
4
Simplify -16/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-1
Solve: 9x + 6 > 105
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 11
Solve: -6x + 15 ≤ -51
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ 11
If each item costs 7 dollars and the total cost is 14, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
2
Solve for x: -5(x + -3) = -55
Solve a two-step equation.
Divide both sides by a, then subtract b.
14
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
Solve for x: -3x + 14 = 47
Solve the linear equation.
Subtract b from both sides, then divide by a.
-11
Solve for x: -8(x + 6) = 32
Solve a two-step equation.
Divide both sides by a, then subtract b.
-10
Solve for x: 8x + -26 = -42
Solve the linear equation.
Subtract b from both sides, then divide by a.
-2
What is 286 - -96?
Subtract the second number from the first.
Subtract -96 from 286.
382
What is -165 + 281?
Add the two numbers.
Add -165 and 281.
116
If each item costs -2 dollars and the total cost is -38, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
19
What is -11 - -153?
Subtract the second number from the first.
Subtract -153 from -11.
142
Solve: -3x + 18 > 57
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > -13
If each item costs 7 dollars and the total cost is 126, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
18
If each item costs -7 dollars and the total cost is -112, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
16
Solve: 7x + -3 ≤ -115
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -16
What is -30 × -50?
Multiply the numbers.
Multiply -30 by -50.
1500
What is -94 - -280?
Subtract the second number from the first.
Subtract -280 from -94.
186
What is -273 + 143?
Add the two numbers.
Add -273 and 143.
-130
Simplify 64/8
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
8
Simplify 6/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
Solve: -7x + -7 > -42
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x > 5
What is -169 + -164?
Add the two numbers.
Add -169 and -164.
-333
What is 2^1?
Evaluate the integer exponent.
Multiply 2 by itself 1 times (0th power = 1).
2
What is -156 - -91?
Subtract the second number from the first.
Subtract -91 from -156.
-65
What is -203 ÷ -29?
Divide evenly.
Divide -203 by -29.
7
What is -7^1?
Evaluate the integer exponent.
Multiply -7 by itself 1 times (0th power = 1).
-7
Solve: 3x + 2 ≤ -1
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≤ -1
Simplify 45/9
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
5
If each item costs 17 dollars and the total cost is 102, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
6
Simplify -22/2
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-11
Solve: 2x + 4 ≥ -16
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x ≥ -10
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
What is 296 + 229?
Add the two numbers.
Add 296 and 229.
525
What is -28 × -12?
Multiply the numbers.
Multiply -28 by -12.
336
Simplify 48/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
3
What is 3^3?
Evaluate the integer exponent.
Multiply 3 by itself 3 times (0th power = 1).
27
Solve: 6x + 9 < -3
Solve the inequality.
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
x < -2
What is -8^4?
Evaluate the integer exponent.
Multiply -8 by itself 4 times (0th power = 1).
4096
What is 1^3?
Evaluate the integer exponent.
Multiply 1 by itself 3 times (0th power = 1).
1
Solve for x: 7(x + -14) = -98
Solve a two-step equation.
Divide both sides by a, then subtract b.
0
What is 41 × 26?
Multiply the numbers.
Multiply 41 by 26.
1066
Solve for x: -6(x + -10) = 24
Solve a two-step equation.
Divide both sides by a, then subtract b.
6
What is -42 × 51?
Multiply the numbers.
Multiply -42 by 51.
-2142
If each item costs 3 dollars and the total cost is 66, how many items were bought?
Solve using algebra.
Divide total cost by price per item.
22
What is -7^0?
Evaluate the integer exponent.
Multiply -7 by itself 0 times (0th power = 1).
1
Simplify -32/16
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
-2
What is 2^3?
Evaluate the integer exponent.
Multiply 2 by itself 3 times (0th power = 1).
8
What is -27 ÷ -27?
Divide evenly.
Divide -27 by -27.
1
Simplify 140/14
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
10
Solve for x: -3(x + 1) = -33
Solve a two-step equation.
Divide both sides by a, then subtract b.
10
What is 235 + -129?
Add the two numbers.
Add 235 and -129.
106
Solve for x: -5x + 8 = 43
Solve the linear equation.
Subtract b from both sides, then divide by a.
-7
Simplify 0/15
Reduce the fraction to simplest form.
Divide numerator and denominator by their GCD and normalize sign.
0
What is 2^4?
Evaluate the integer exponent.
Multiply 2 by itself 4 times (0th power = 1).
16
What is -22 ÷ 22?
Divide evenly.
Divide -22 by 22.
-1
Solve for x: 6(x + 5) = 102
Solve a two-step equation.
Divide both sides by a, then subtract b.
12