question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
If each item costs -9 dollars and the total cost is -45, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
What is 54 + -185?
|
Add the two numbers.
|
Add 54 and -185.
|
-131
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
Simplify 12/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
What is 20 × 5?
|
Multiply the numbers.
|
Multiply 20 by 5.
|
100
|
What is -6^0?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 0 times (0th power = 1).
|
1
|
What is 256 + -6?
|
Add the two numbers.
|
Add 256 and -6.
|
250
|
Solve for x: -3(x + 15) = -87
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
Simplify -14/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
What is 37 × 47?
|
Multiply the numbers.
|
Multiply 37 by 47.
|
1739
|
If each item costs 7 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
0
|
What is -39 × -52?
|
Multiply the numbers.
|
Multiply -39 by -52.
|
2028
|
Solve for x: -2(x + 9) = 10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Simplify 70/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Solve for x: 2(x + -1) = -26
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is 50 ÷ 5?
|
Divide evenly.
|
Divide 50 by 5.
|
10
|
What is 2^4?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 4 times (0th power = 1).
|
16
|
What is 8^4?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 4 times (0th power = 1).
|
4096
|
Solve for x: -7(x + -11) = 133
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve for x: 8(x + -13) = -80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Solve for x: -1(x + 14) = -19
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
5
|
If each item costs -2 dollars and the total cost is -56, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
Solve for x: -8(x + 0) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve for x: -6(x + 15) = -84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
What is 8^2?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 2 times (0th power = 1).
|
64
|
What is -380 ÷ 20?
|
Divide evenly.
|
Divide -380 by 20.
|
-19
|
If each item costs 16 dollars and the total cost is 448, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
What is -111 + -190?
|
Add the two numbers.
|
Add -111 and -190.
|
-301
|
What is 157 + 208?
|
Add the two numbers.
|
Add 157 and 208.
|
365
|
What is -60 ÷ 4?
|
Divide evenly.
|
Divide -60 by 4.
|
-15
|
If each item costs 20 dollars and the total cost is 520, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
26
|
What is 240 ÷ 24?
|
Divide evenly.
|
Divide 240 by 24.
|
10
|
What is -8^4?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 4 times (0th power = 1).
|
4096
|
What is -33 × 51?
|
Multiply the numbers.
|
Multiply -33 by 51.
|
-1683
|
What is -116 - -289?
|
Subtract the second number from the first.
|
Subtract -289 from -116.
|
173
|
What is 300 + -267?
|
Add the two numbers.
|
Add 300 and -267.
|
33
|
What is 133 - -97?
|
Subtract the second number from the first.
|
Subtract -97 from 133.
|
230
|
What is -5^5?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 5 times (0th power = 1).
|
-3125
|
What is 28 ÷ -28?
|
Divide evenly.
|
Divide 28 by -28.
|
-1
|
Solve for x: 7x + -18 = -88
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
What is 53 - 43?
|
Subtract the second number from the first.
|
Subtract 43 from 53.
|
10
|
What is -14 ÷ -7?
|
Divide evenly.
|
Divide -14 by -7.
|
2
|
Simplify 90/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Solve: 6x + -19 < -97
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -13
|
Solve: 2x + -17 < -15
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 1
|
Solve for x: 3(x + -12) = -66
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is 236 + 247?
|
Add the two numbers.
|
Add 236 and 247.
|
483
|
Solve: 6x + -5 < -101
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -16
|
What is 7^0?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 0 times (0th power = 1).
|
1
|
What is 13 + -45?
|
Add the two numbers.
|
Add 13 and -45.
|
-32
|
Solve for x: -3x + 14 = 23
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
What is -18 × -23?
|
Multiply the numbers.
|
Multiply -18 by -23.
|
414
|
What is 7^5?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 5 times (0th power = 1).
|
16807
|
Solve for x: 8(x + 10) = 184
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is -7^3?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 3 times (0th power = 1).
|
-343
|
What is -5^3?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 3 times (0th power = 1).
|
-125
|
If each item costs -3 dollars and the total cost is -87, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
What is 71 + 101?
|
Add the two numbers.
|
Add 71 and 101.
|
172
|
Solve: 5x + -12 < -77
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -13
|
What is 24 × -29?
|
Multiply the numbers.
|
Multiply 24 by -29.
|
-696
|
If each item costs 4 dollars and the total cost is -20, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
What is 1^4?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 4 times (0th power = 1).
|
1
|
If each item costs 16 dollars and the total cost is 16, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
1
|
What is -182 ÷ 13?
|
Divide evenly.
|
Divide -182 by 13.
|
-14
|
Simplify -105/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Solve for x: 2x + 7 = -17
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
What is 209 ÷ 19?
|
Divide evenly.
|
Divide 209 by 19.
|
11
|
Solve for x: -12x + -23 = 157
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -3^2?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 2 times (0th power = 1).
|
9
|
Solve for x: 6x + -14 = -26
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
Solve for x: -5(x + -15) = 150
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is 219 - -258?
|
Subtract the second number from the first.
|
Subtract -258 from 219.
|
477
|
What is 49 × 17?
|
Multiply the numbers.
|
Multiply 49 by 17.
|
833
|
What is 5^5?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 5 times (0th power = 1).
|
3125
|
What is -8^1?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 1 times (0th power = 1).
|
-8
|
Simplify 56/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Solve: -1x + 14 > 17
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -3
|
If each item costs 12 dollars and the total cost is -84, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-7
|
Solve for x: -1(x + 2) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is -1^2?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 2 times (0th power = 1).
|
1
|
If each item costs -10 dollars and the total cost is -250, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
Simplify 144/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
What is 32 × -16?
|
Multiply the numbers.
|
Multiply 32 by -16.
|
-512
|
Solve for x: 10x + 26 = 166
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
Simplify 8/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
Solve for x: 4x + -21 = -93
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
What is -171 - -177?
|
Subtract the second number from the first.
|
Subtract -177 from -171.
|
6
|
What is -12 ÷ 3?
|
Divide evenly.
|
Divide -12 by 3.
|
-4
|
Solve: -6x + 17 > -37
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 9
|
If each item costs 17 dollars and the total cost is 136, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
8
|
What is -160 ÷ -20?
|
Divide evenly.
|
Divide -160 by -20.
|
8
|
What is -4^5?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 5 times (0th power = 1).
|
-1024
|
Solve for x: -7x + -14 = 21
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
What is 259 + -182?
|
Add the two numbers.
|
Add 259 and -182.
|
77
|
What is -5 + 15?
|
Add the two numbers.
|
Add -5 and 15.
|
10
|
What is 49 × 19?
|
Multiply the numbers.
|
Multiply 49 by 19.
|
931
|
Simplify 15/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is 19 ÷ -19?
|
Divide evenly.
|
Divide 19 by -19.
|
-1
|
Simplify 0/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
0
|
What is 17 × -51?
|
Multiply the numbers.
|
Multiply 17 by -51.
|
-867
|
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