question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: 6x + 19 < -83
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -17
|
What is -50 ÷ -5?
|
Divide evenly.
|
Divide -50 by -5.
|
10
|
Solve for x: -11x + -16 = 39
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
What is -8^4?
|
Evaluate the integer exponent.
|
Multiply -8 by itself 4 times (0th power = 1).
|
4096
|
What is -5 - -295?
|
Subtract the second number from the first.
|
Subtract -295 from -5.
|
290
|
Solve for x: 3x + 13 = 64
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Simplify -18/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Solve for x: 7x + 4 = 74
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is 186 - 155?
|
Subtract the second number from the first.
|
Subtract 155 from 186.
|
31
|
What is 0 ÷ -16?
|
Divide evenly.
|
Divide 0 by -16.
|
0
|
What is -53 × 35?
|
Multiply the numbers.
|
Multiply -53 by 35.
|
-1855
|
Simplify 63/9
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is -38 - -164?
|
Subtract the second number from the first.
|
Subtract -164 from -38.
|
126
|
If each item costs 6 dollars and the total cost is 78, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
Solve: 9x + 13 ≤ 103
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 10
|
What is 3^5?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 5 times (0th power = 1).
|
243
|
Solve: 7x + -2 ≤ 117
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 17
|
What is 261 + 259?
|
Add the two numbers.
|
Add 261 and 259.
|
520
|
What is -295 - 288?
|
Subtract the second number from the first.
|
Subtract 288 from -295.
|
-583
|
What is 27 × -54?
|
Multiply the numbers.
|
Multiply 27 by -54.
|
-1458
|
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: 7(x + 1) = -56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
What is 252 - 112?
|
Subtract the second number from the first.
|
Subtract 112 from 252.
|
140
|
Solve: 6x + 18 > -36
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -9
|
What is -70 ÷ 14?
|
Divide evenly.
|
Divide -70 by 14.
|
-5
|
If each item costs 19 dollars and the total cost is -304, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-16
|
What is 56 ÷ 8?
|
Divide evenly.
|
Divide 56 by 8.
|
7
|
What is -8 × -28?
|
Multiply the numbers.
|
Multiply -8 by -28.
|
224
|
If each item costs 20 dollars and the total cost is 200, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
10
|
Simplify -48/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is 249 + -264?
|
Add the two numbers.
|
Add 249 and -264.
|
-15
|
What is -195 + 115?
|
Add the two numbers.
|
Add -195 and 115.
|
-80
|
What is 173 + -265?
|
Add the two numbers.
|
Add 173 and -265.
|
-92
|
Solve for x: 1(x + 12) = -1
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
What is 11 ÷ -11?
|
Divide evenly.
|
Divide 11 by -11.
|
-1
|
Solve for x: -6x + 15 = -15
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
5
|
If each item costs -5 dollars and the total cost is -65, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
Solve for x: -1(x + -1) = 13
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-12
|
What is -7^5?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 5 times (0th power = 1).
|
-16807
|
Solve for x: 5x + 14 = 109
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Simplify -39/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is 81 - -155?
|
Subtract the second number from the first.
|
Subtract -155 from 81.
|
236
|
What is 196 + -294?
|
Add the two numbers.
|
Add 196 and -294.
|
-98
|
What is 45 × -16?
|
Multiply the numbers.
|
Multiply 45 by -16.
|
-720
|
Solve for x: 8(x + -15) = -64
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
If each item costs 13 dollars and the total cost is 39, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
Simplify -54/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Solve for x: 7x + 29 = -48
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
Solve for x: -5(x + -2) = 75
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
What is -4 - 193?
|
Subtract the second number from the first.
|
Subtract 193 from -4.
|
-197
|
Simplify 14/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
7
|
What is -21 × -48?
|
Multiply the numbers.
|
Multiply -21 by -48.
|
1008
|
What is 43 × 5?
|
Multiply the numbers.
|
Multiply 43 by 5.
|
215
|
What is -9 × 42?
|
Multiply the numbers.
|
Multiply -9 by 42.
|
-378
|
Solve for x: -2(x + 15) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
What is 235 + -97?
|
Add the two numbers.
|
Add 235 and -97.
|
138
|
What is 231 - -81?
|
Subtract the second number from the first.
|
Subtract -81 from 231.
|
312
|
Solve for x: -3(x + -10) = 21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
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 -252 - 294?
|
Subtract the second number from the first.
|
Subtract 294 from -252.
|
-546
|
Simplify 16/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
If each item costs 5 dollars and the total cost is -90, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Simplify -60/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is -207 + -13?
|
Add the two numbers.
|
Add -207 and -13.
|
-220
|
What is 114 + 232?
|
Add the two numbers.
|
Add 114 and 232.
|
346
|
What is -6^3?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 3 times (0th power = 1).
|
-216
|
Solve for x: 7(x + 4) = 112
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
12
|
What is 3^0?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 0 times (0th power = 1).
|
1
|
What is 86 + -53?
|
Add the two numbers.
|
Add 86 and -53.
|
33
|
What is 124 - 229?
|
Subtract the second number from the first.
|
Subtract 229 from 124.
|
-105
|
What is -90 ÷ 9?
|
Divide evenly.
|
Divide -90 by 9.
|
-10
|
Solve: -10x + 14 ≥ 134
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -12
|
What is -59 - 296?
|
Subtract the second number from the first.
|
Subtract 296 from -59.
|
-355
|
What is -208 - -199?
|
Subtract the second number from the first.
|
Subtract -199 from -208.
|
-9
|
What is 340 ÷ 20?
|
Divide evenly.
|
Divide 340 by 20.
|
17
|
What is -7^1?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 1 times (0th power = 1).
|
-7
|
What is 267 + -168?
|
Add the two numbers.
|
Add 267 and -168.
|
99
|
Solve for x: -7(x + 6) = 63
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
What is -214 + 109?
|
Add the two numbers.
|
Add -214 and 109.
|
-105
|
What is 6^5?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 5 times (0th power = 1).
|
7776
|
What is 33 × -45?
|
Multiply the numbers.
|
Multiply 33 by -45.
|
-1485
|
Solve for x: 7x + -2 = 12
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
If each item costs 11 dollars and the total cost is 165, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
What is -1^0?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 0 times (0th power = 1).
|
1
|
What is -277 + -196?
|
Add the two numbers.
|
Add -277 and -196.
|
-473
|
What is 43 × -13?
|
Multiply the numbers.
|
Multiply 43 by -13.
|
-559
|
Solve for x: -7(x + -6) = 21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is -2^5?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 5 times (0th power = 1).
|
-32
|
What is 240 + -91?
|
Add the two numbers.
|
Add 240 and -91.
|
149
|
Simplify -63/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is 37 × -31?
|
Multiply the numbers.
|
Multiply 37 by -31.
|
-1147
|
Simplify -130/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
Solve: 10x + 1 ≤ -159
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -16
|
What is -450 ÷ -30?
|
Divide evenly.
|
Divide -450 by -30.
|
15
|
Solve for x: 5(x + -12) = -55
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is -19 - -99?
|
Subtract the second number from the first.
|
Subtract -99 from -19.
|
80
|
Solve: 3x + 9 ≥ -48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -19
|
What is -146 - 256?
|
Subtract the second number from the first.
|
Subtract 256 from -146.
|
-402
|
What is -6^3?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 3 times (0th power = 1).
|
-216
|
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