question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Simplify 63/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve for x: -6(x + -12) = 66
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is -27 × 32?
|
Multiply the numbers.
|
Multiply -27 by 32.
|
-864
|
What is 14 × 12?
|
Multiply the numbers.
|
Multiply 14 by 12.
|
168
|
What is 224 + 278?
|
Add the two numbers.
|
Add 224 and 278.
|
502
|
Solve: -8x + 6 < 134
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -16
|
What is -1^0?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 0 times (0th power = 1).
|
1
|
What is 4^5?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 5 times (0th power = 1).
|
1024
|
What is 126 ÷ 18?
|
Divide evenly.
|
Divide 126 by 18.
|
7
|
If each item costs 9 dollars and the total cost is 9, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
1
|
What is -186 + -159?
|
Add the two numbers.
|
Add -186 and -159.
|
-345
|
What is -34 × -31?
|
Multiply the numbers.
|
Multiply -34 by -31.
|
1054
|
Solve for x: -3(x + 0) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
What is -106 - 237?
|
Subtract the second number from the first.
|
Subtract 237 from -106.
|
-343
|
Simplify 15/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is 60 ÷ -12?
|
Divide evenly.
|
Divide 60 by -12.
|
-5
|
If each item costs 4 dollars and the total cost is -40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-10
|
Solve for x: -2x + 19 = 45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
What is 315 ÷ 21?
|
Divide evenly.
|
Divide 315 by 21.
|
15
|
Simplify 18/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is -192 - -162?
|
Subtract the second number from the first.
|
Subtract -162 from -192.
|
-30
|
Solve for x: 12x + 6 = -138
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
What is -3^0?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 0 times (0th power = 1).
|
1
|
What is 55 ÷ 5?
|
Divide evenly.
|
Divide 55 by 5.
|
11
|
Solve: -6x + -6 ≥ 48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -9
|
What is -8^3?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 3 times (0th power = 1).
|
-512
|
What is 8^2?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 2 times (0th power = 1).
|
64
|
Simplify -30/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is 6 × 18?
|
Multiply the numbers.
|
Multiply 6 by 18.
|
108
|
What is 46 × 45?
|
Multiply the numbers.
|
Multiply 46 by 45.
|
2070
|
Solve: -7x + -13 > 57
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -10
|
Solve for x: 3(x + -9) = -36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
Simplify 3/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is 17 + 269?
|
Add the two numbers.
|
Add 17 and 269.
|
286
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
Solve: -9x + -10 ≤ -154
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 16
|
Solve: 3x + 1 ≤ -53
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -18
|
Solve for x: -12x + 30 = -162
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
Simplify 35/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
What is -4^1?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 1 times (0th power = 1).
|
-4
|
What is -200 ÷ 20?
|
Divide evenly.
|
Divide -200 by 20.
|
-10
|
If each item costs -2 dollars and the total cost is 40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-20
|
Solve for x: -10x + -18 = 82
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
Solve for x: -7(x + 8) = -126
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is -35 × -35?
|
Multiply the numbers.
|
Multiply -35 by -35.
|
1225
|
What is -1 × 32?
|
Multiply the numbers.
|
Multiply -1 by 32.
|
-32
|
Solve for x: 5(x + -14) = -25
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
What is 49 × -9?
|
Multiply the numbers.
|
Multiply 49 by -9.
|
-441
|
What is 280 ÷ 28?
|
Divide evenly.
|
Divide 280 by 28.
|
10
|
Simplify -8/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is 3^4?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 4 times (0th power = 1).
|
81
|
What is -8^1?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 1 times (0th power = 1).
|
-8
|
What is 320 ÷ 16?
|
Divide evenly.
|
Divide 320 by 16.
|
20
|
Solve for x: -2(x + 15) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
What is 275 - 252?
|
Subtract the second number from the first.
|
Subtract 252 from 275.
|
23
|
What is -32 × -26?
|
Multiply the numbers.
|
Multiply -32 by -26.
|
832
|
Solve: 2x + -14 ≥ 26
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 20
|
Solve for x: -1x + -28 = -13
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
If each item costs -8 dollars and the total cost is -184, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
What is 43 - 259?
|
Subtract the second number from the first.
|
Subtract 259 from 43.
|
-216
|
Simplify -130/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
Solve: -6x + 13 < -83
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 16
|
Solve for x: 2(x + 2) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
Solve for x: 1(x + 9) = 21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
Simplify -4/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
If each item costs 1 dollars and the total cost is -14, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-14
|
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
|
Simplify 16/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Solve for x: 7x + -28 = -105
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
What is 41 × -9?
|
Multiply the numbers.
|
Multiply 41 by -9.
|
-369
|
What is 240 - 206?
|
Subtract the second number from the first.
|
Subtract 206 from 240.
|
34
|
Solve for x: -2x + 30 = 10
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
Simplify -120/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
Solve: 4x + -20 ≤ 32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 13
|
Solve: -10x + -2 < 48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -5
|
What is 24 ÷ 12?
|
Divide evenly.
|
Divide 24 by 12.
|
2
|
Solve for x: 3x + -8 = 10
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Solve for x: -4(x + 8) = -76
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is 5^4?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 4 times (0th power = 1).
|
625
|
Solve: -9x + 13 < -41
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 6
|
What is 0 ÷ -8?
|
Divide evenly.
|
Divide 0 by -8.
|
0
|
Solve: -9x + 17 ≤ -73
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 10
|
What is 4^1?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 1 times (0th power = 1).
|
4
|
If each item costs 19 dollars and the total cost is 342, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
What is -32 × 24?
|
Multiply the numbers.
|
Multiply -32 by 24.
|
-768
|
What is -29 × 26?
|
Multiply the numbers.
|
Multiply -29 by 26.
|
-754
|
What is 54 ÷ -27?
|
Divide evenly.
|
Divide 54 by -27.
|
-2
|
What is -274 - 177?
|
Subtract the second number from the first.
|
Subtract 177 from -274.
|
-451
|
What is -273 - 289?
|
Subtract the second number from the first.
|
Subtract 289 from -273.
|
-562
|
Simplify -90/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
Solve: 8x + -6 ≤ 2
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 1
|
What is -244 + -298?
|
Add the two numbers.
|
Add -244 and -298.
|
-542
|
What is 304 ÷ -16?
|
Divide evenly.
|
Divide 304 by -16.
|
-19
|
Solve for x: 8(x + 5) = 64
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Simplify -14/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
Solve for x: -8(x + 1) = 96
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
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.
|
-14
|
If each item costs -6 dollars and the total cost is 72, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-12
|
Solve: -5x + 0 < -20
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 4
|
Solve: 3x + -6 < 15
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 7
|
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