conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Let t(b) = -b**3 + 2*b - 10*b**2 - 8 + 4*b**2 - 2 + 4*b. What is t(-7)?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Work out 716 + -49."
},
{
"from": "gpt",
"value": "667"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 38*a**3 + 116*a wrt a?"
},
{
"from": "gpt",
"value": "228*a"
}
] |
[
{
"from": "human",
"value": "What is next in 532, 1065, 1598, 2131, 2664?"
},
{
"from": "gpt",
"value": "3197"
}
] |
[
{
"from": "human",
"value": "Evaluate -2 + 1 + 5 + (3 - 9)."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve 4*i = 5*y + 9 - 3, 3*y - 6 = 0 for i."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Solve 12 = 3*g + f, 9*f - 4 = -g + 6*f for g."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Suppose v + 2*u + 2 = -0*u, 5*v + 10 = 3*u. Sort -4, v, 5 in ascending order."
},
{
"from": "gpt",
"value": "-4, v, 5"
}
] |
[
{
"from": "human",
"value": "Solve -165*f + 234 = -139*f for f."
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -5? (a) -0.2 (b) -26 (c) -2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in 2, 1/5, 834?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Solve 6*i - 6 = 9*i for i."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let k be ((-4)/(-10))/(3/45). Let a be (-6)/(-35)*(-20)/k. Which is smaller: a or -1?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Solve -47*i + 45*i = -10 for i."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Solve 2*x - 3*i = -3*x, -5*x = 4*i - 35 for x."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the first derivative of 67*u**4 - 66*u**2 + 127 + 330*u**4 + 66*u**2 wrt u?"
},
{
"from": "gpt",
"value": "1588*u**3"
}
] |
[
{
"from": "human",
"value": "Solve 3*k + 0 = 2*v + 8, 20 = -5*v - 3*k for v."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Put -5/4, -2, 1.8 in descending order."
},
{
"from": "gpt",
"value": "1.8, -5/4, -2"
}
] |
[
{
"from": "human",
"value": "Let c(l) = -l**3 + 19*l**2 + 21*l - 8. What is c(20)?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Let d be 12/4*4/6. Factor z**d + 0 - 2*z**2 + 3*z**2 - 2."
},
{
"from": "gpt",
"value": "2*(z - 1)*(z + 1)"
}
] |
[
{
"from": "human",
"value": "What is the third root of 1087 to the nearest integer?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Suppose -z + 6*z - 3*x = 0, 7 = -4*z + x. Put z, -5, 1 in ascending order."
},
{
"from": "gpt",
"value": "-5, z, 1"
}
] |
[
{
"from": "human",
"value": "What is 10964 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "105"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(20)*-2*4."
},
{
"from": "gpt",
"value": "-16*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Let u = -16/29 - -330/493. Which is the third smallest value? (a) -2/3 (b) -1 (c) u"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let y be ((-60)/(-40))/((-1)/(-2)). Solve 18 = 2*i - 5*f, -2*f + 0*f = y*i - 8 for i."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 83151 to the nearest integer?"
},
{
"from": "gpt",
"value": "44"
}
] |
[
{
"from": "human",
"value": "11 times -0.246"
},
{
"from": "gpt",
"value": "-2.706"
}
] |
[
{
"from": "human",
"value": "Solve v + 13 = 4*h, -11*v - 65 = -3052548*h + 3052543*h for v."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is (1 - 5) + (48 - 31) + -6?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Is -1 < -0.83?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the units digit of 115223?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Factor -3/2*y**3 + 0*y + 3/2*y**2 + 0 - 3/2*y**4 + 3/2*y**5."
},
{
"from": "gpt",
"value": "3*y**2*(y - 1)**2*(y + 1)/2"
}
] |
[
{
"from": "human",
"value": "In base 16, what is -124 + 4?"
},
{
"from": "gpt",
"value": "-120"
}
] |
[
{
"from": "human",
"value": "-5 + 3 + 22 - 12"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Sum 0.1196 and -987."
},
{
"from": "gpt",
"value": "-986.8804"
}
] |
[
{
"from": "human",
"value": "Multiply -2.5 and -0.2."
},
{
"from": "gpt",
"value": "0.5"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:33 PM and 3:31 AM?"
},
{
"from": "gpt",
"value": "538"
}
] |
[
{
"from": "human",
"value": "Which is the fourth biggest value? (a) -190 (b) -10 (c) -0.1 (d) -3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Find the common denominator of 42/11 and (-36)/84 - 31/(-56)."
},
{
"from": "gpt",
"value": "88"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -4*l**4 + 4*l**4 + 4*l**4 - l**2 + 4*l**2 wrt l."
},
{
"from": "gpt",
"value": "96*l"
}
] |
[
{
"from": "human",
"value": "Let c = -55 - -75. Solve -l = l, 5*l - c = -5*x for x."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Simplify ((j**1*j)**(-1/13))**(8/7) assuming j is positive."
},
{
"from": "gpt",
"value": "j**(-16/91)"
}
] |
[
{
"from": "human",
"value": "Find the first derivative of -102*d**4*j + 46594*d*j**2 - 20137599*j**2 wrt d."
},
{
"from": "gpt",
"value": "-408*d**3*j + 46594*j**2"
}
] |
[
{
"from": "human",
"value": "Convert -320 (base 7) to base 14."
},
{
"from": "gpt",
"value": "-b7"
}
] |
[
{
"from": "human",
"value": "Let v(w) be the second derivative of -1/14*w**8 + 4*w + 0*w**6 + 1/12*w**4 + 0*w**5 + 0 + 0*w**7 + 0*w**3 + 0*w**2. Find the third derivative of v(t) wrt t."
},
{
"from": "gpt",
"value": "-480*t**3"
}
] |
[
{
"from": "human",
"value": "Calculate 7*-349."
},
{
"from": "gpt",
"value": "-2443"
}
] |
[
{
"from": "human",
"value": "Let b be (-2)/6 - (104/(-6))/4. Let z(u) be the second derivative of 1/6*u**b + 0*u**3 + 0 + 1/10*u**5 + 0*u**2 + 3*u. Suppose z(y) = 0. Calculate y."
},
{
"from": "gpt",
"value": "-1, 0"
}
] |
[
{
"from": "human",
"value": "What is ((-1)/2)/((-14)/84)?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Does 76 divide 988?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let z = -418 + 394. Suppose 0*t + 87 = -3*n - 5*t, -2*t - 126 = 5*n. Is z bigger than n?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "-1386+0"
},
{
"from": "gpt",
"value": "-1386"
}
] |
[
{
"from": "human",
"value": "Suppose r = -2*r + 15, -3*h + 3*r + 117 = 0. What is the remainder when h is divided by (10/3)/((-4)/(-18))?"
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "Let s = -30.12 - -0.12. Let g = s - -33.8. Let v = g + -3.7999942. Round v to 6 decimal places."
},
{
"from": "gpt",
"value": "6e-06"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 14878 is divided by 191."
},
{
"from": "gpt",
"value": "171"
}
] |
[
{
"from": "human",
"value": "What is 4182 to the power of 1/9, to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let l = -13 + 17. Let k = 0 + l. Is 2/7 less than or equal to k?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 3*y - 0*y + 27. Let q = y + 14. Solve 3 - 4 = -2*j - 5*o, -2*o = -q*j + 17 for j."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Work out -0.69 * -0.1."
},
{
"from": "gpt",
"value": "0.069"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) -3 (b) 4 (c) 1 (d) 0.34"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What comes next: 55, 66, 83, 106, 135?"
},
{
"from": "gpt",
"value": "170"
}
] |
[
{
"from": "human",
"value": "Solve 4*t + 4 = 4*l, 3*l - 5 = -5*t + 6*l for t."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Divide -49 by -5."
},
{
"from": "gpt",
"value": "49/5"
}
] |
[
{
"from": "human",
"value": "What is 0.634384 meters in micrometers?"
},
{
"from": "gpt",
"value": "634384"
}
] |
[
{
"from": "human",
"value": "Let w be (-48)/(-27) - 2/(-9). Suppose -w*k + 67 = -k. Is k a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Calculate 4/3 + (-518)/(-111)."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let p(y) be the third derivative of -5*y**8/56 + 86*y**7/105 + 35*y**6/12 + 37*y**5/15 + 156*y**2. Determine k so that p(k) = 0."
},
{
"from": "gpt",
"value": "-1, -2/3, 0, 37/5"
}
] |
[
{
"from": "human",
"value": "Put 1, -8, 4, 2, 30 in descending order."
},
{
"from": "gpt",
"value": "30, 4, 2, 1, -8"
}
] |
[
{
"from": "human",
"value": "120/36*(16/(-20) - 1)"
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "In base 12, what is -46 - 2?"
},
{
"from": "gpt",
"value": "-48"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 586*f**3 + 517*f wrt f?"
},
{
"from": "gpt",
"value": "3516*f"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -0.1? (a) 120 (b) 3 (c) -2/11"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Solve p - m + 19 = 16, -10 = -2*m for p."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is 3 - ((-44 - -23) + 41) - 7?"
},
{
"from": "gpt",
"value": "-24"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of 47/2799 and -81/2488."
},
{
"from": "gpt",
"value": "22392"
}
] |
[
{
"from": "human",
"value": "Let b = 22 + -55. Let h = 36 + b. Suppose 0 = j - h*t + 7, -t + 23 + 14 = 4*j. Solve -5*f - j = 2 for f."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve -4*s = -a + 1, -2*s + 1 = 4*a + 15 for s."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let j = -0.48 + 4.48. Let c = 6 + -5.9. What is the closest to -1 in c, j, -0.5?"
},
{
"from": "gpt",
"value": "-0.5"
}
] |
[
{
"from": "human",
"value": "Let t(k) be the third derivative of -5*k**8/168 - k**5/15 + 25*k**2. Find the third derivative of t(m) wrt m."
},
{
"from": "gpt",
"value": "-600*m**2"
}
] |
[
{
"from": "human",
"value": "What is the next term in 75, 70, 67, 66, 67, 70?"
},
{
"from": "gpt",
"value": "75"
}
] |
[
{
"from": "human",
"value": "What is the next term in 278, 279, 280, 281, 282, 283?"
},
{
"from": "gpt",
"value": "284"
}
] |
[
{
"from": "human",
"value": "Solve 15*u = 3*b + 45, 2300*u - 8 - 1 = -b + 2297*u for b."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Simplify (r**(-4)*(r**(-4/7)/r*r*r*r)/r)/((r**6/r)/r*r**(1/4)) assuming r is positive."
},
{
"from": "gpt",
"value": "r**(-219/28)"
}
] |
[
{
"from": "human",
"value": "Solve -3*n = -3*c + 15, 0 = -5*c - n + 4*n + 15 for c."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Solve -7*c - 27 + 6 = 0 for c."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Is 52961 a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the value of 13/(-13)*1*(-9)/(-15)?"
},
{
"from": "gpt",
"value": "-3/5"
}
] |
[
{
"from": "human",
"value": "Let z = -91/3 + 31. Let d be 1*-2*1/(-2). Is d <= z?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Put -0.07, 0.5, 2/5, 0.67 in increasing order."
},
{
"from": "gpt",
"value": "-0.07, 2/5, 0.5, 0.67"
}
] |
[
{
"from": "human",
"value": "Simplify -1 + ((sqrt(720)*1)**2 - sqrt(720)) + -2."
},
{
"from": "gpt",
"value": "717 - 12*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Does 23 divide 6739?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose 2*m = m + 6. Suppose 2*j - 6 - m = 0. Suppose w + 2*w - j = 0. Solve w*k - k + 3 = 0 for k."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let o(n) = n + 6. Let r be o(-7). Let f be (0/3 + 0)/r. Let z(x) = x + 1. Let m be z(2). Which is the second biggest value? (a) f (b) m (c) 2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the fourth root of 10902 to the nearest integer?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 5*d - 2*d - 2*j + 10, 0 = -4*d + 3*j - 14. Let s(r) = r**3 + 2*r**2 + 4 - r + r**2 - 7. Let c be s(d). Solve -12 + 0 = -c*y for y."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 304 and 56?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Suppose -123 - 3 = -14*j. Suppose 0 = 2*k + 5*l - 16, l = -5*k + 2*l + 13. Let v = j + k. What is the highest common divisor of 30 and v?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let v(b) be the second derivative of -b**6/40 - 3*b**5/20 - 3*b**4/8 - b**3/2 - 3*b**2/2 + b. Let f(q) be the first derivative of v(q). Factor f(p)."
},
{
"from": "gpt",
"value": "-3*(p + 1)**3"
}
] |
[
{
"from": "human",
"value": "Let y(f) be the second derivative of -2*f**8/7 + 11*f**4/12 + 9*f. What is the third derivative of y(b) wrt b?"
},
{
"from": "gpt",
"value": "-1920*b**3"
}
] |
[
{
"from": "human",
"value": "Suppose -m = 5*n - 544, 4*n - n + 2*m = 332. Let t = -71 + n. Is t composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
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