conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Let l(s) = -s**2 - 2*s**2 + 4*s**2 - 22*s**3. Suppose 0 = -2*d + m - 7, 3*d + 11 = 3*m - 7. Let j be l(d). Solve -4*z - 1 + j = -3*o, -z = 5*o + 6 for o."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is next in -9882, -9884, -9886, -9888, -9890?"
},
{
"from": "gpt",
"value": "-9892"
}
] |
[
{
"from": "human",
"value": "In base 2, what is -10111000001100010010000001010 - 11?"
},
{
"from": "gpt",
"value": "-10111000001100010010000001101"
}
] |
[
{
"from": "human",
"value": "Is -2/81 <= 34025?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "-6*(49/42 + 2/(-3))"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Evaluate 16 + (-8 - -2) + -7 + -5."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Round 0.00041626 to 6 dps."
},
{
"from": "gpt",
"value": "0.000416"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -3*k + s - 15, -15 = -40*s + 35*s for k."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let o(c) = c**2 + c**2 + c - 4*c. Let i be o(3). Calculate the highest common divisor of i and 9."
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "36 divided by 1281265"
},
{
"from": "gpt",
"value": "36/1281265"
}
] |
[
{
"from": "human",
"value": "Three letters picked without replacement from {p: 2, h: 1, r: 1}. What is prob of picking 1 r and 2 p?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "What is the derivative of -2*k*n**2 - 4196*k*n - 2*n**2 + 40*n + 53 wrt k?"
},
{
"from": "gpt",
"value": "-2*n**2 - 4196*n"
}
] |
[
{
"from": "human",
"value": "In base 8, what is 51 - -165?"
},
{
"from": "gpt",
"value": "236"
}
] |
[
{
"from": "human",
"value": "What is -2 + -4 + 5 + -4 + 4?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is 4/(-6)*(-15)/10?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -f + 4*d + 16, -4*d - 15 = -f + d. Let c(p) = -p**2 + 6*p. Calculate the smallest common multiple of -3 + ((-44)/f)/((-5)/25) and c(4)."
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Simplify g**(7/4)*(g*g**(-3)*g)/g*g/g**(-5)*g*g*g*g**8 assuming g is positive."
},
{
"from": "gpt",
"value": "g**(67/4)"
}
] |
[
{
"from": "human",
"value": "Suppose -6 = 3*g - 6*g. Is g greater than -3?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let p be 40/18 - (-10)/(-45). What is the first derivative of -p - 4*w**4 + 0*w**4 + 5 wrt w?"
},
{
"from": "gpt",
"value": "-16*w**3"
}
] |
[
{
"from": "human",
"value": "In base 9, what is -14047 - -3?"
},
{
"from": "gpt",
"value": "-14044"
}
] |
[
{
"from": "human",
"value": "Sort 0.1, -2, -15, -3/2, -1/2 in decreasing order."
},
{
"from": "gpt",
"value": "0.1, -1/2, -3/2, -2, -15"
}
] |
[
{
"from": "human",
"value": "Let s = -2.96 + -0.04. Let q = -2.1 - -1.2. Let k = q - -0.9. Which is the nearest to -1? (a) k (b) s (c) -1"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 290?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is 1308.8754 seconds in minutes?"
},
{
"from": "gpt",
"value": "21.81459"
}
] |
[
{
"from": "human",
"value": "Convert 577.49 micrometers to millimeters."
},
{
"from": "gpt",
"value": "0.57749"
}
] |
[
{
"from": "human",
"value": "Multiply -2 and -48."
},
{
"from": "gpt",
"value": "96"
}
] |
[
{
"from": "human",
"value": "Let o(v) = 29*v - 6. Suppose -2*l + 1 + 11 = 0. Let b be o(l). What is the highest common factor of b and 24?"
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "Solve 6*b = -5*b + 22 for b."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let w(o) = -o**6 + o**5 + o - 1. Let f(t) = -10*t**6 + 9*t**5 - 3*t**2 + 9*t - 9. Let s(r) = -2*f(r) + 18*w(r). Find the third derivative of s(p) wrt p."
},
{
"from": "gpt",
"value": "240*p**3"
}
] |
[
{
"from": "human",
"value": "Is 1020 a multiple of 17?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "-12996 divided by 4"
},
{
"from": "gpt",
"value": "-3249"
}
] |
[
{
"from": "human",
"value": "Suppose 3*r - 2*r = 8. Let f be r*1/(-5) - -2. Is -1/3 greater than f?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Calculate 44/(-55) - (-164)/230."
},
{
"from": "gpt",
"value": "-2/23"
}
] |
[
{
"from": "human",
"value": "Let d = 0.08 + 0.42. Which is the closest to -1/3? (a) d (b) 2/7 (c) -4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Solve -18*a + 17*a = 4*q + 24, -3*a + 3 = -3*q for q."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve 5*c - 2*y - 17 = 0, -c - 2*y = 37 - 38 for c."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is 5113.57253 rounded to the nearest integer?"
},
{
"from": "gpt",
"value": "5114.0"
}
] |
[
{
"from": "human",
"value": "Let z be ((-1227)/161)/((-3224)/(-28)). Let s = z - -1/598. Is 1 at most as big as s?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let v(o) = 0*o**2 - 6*o - 1 - 3 - 2*o - o**2. Let a be v(-6). Is a*4 - (1 - 0) composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 15418*c**2 + 105*c - 11."
},
{
"from": "gpt",
"value": "30836"
}
] |
[
{
"from": "human",
"value": "Suppose 5*v + 0 = 5. Let z = 14 - 10. Suppose i + v = z. Solve -i*x + 9 = -3*u, -4*u = 2*x - 5*x + 14 for x."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve -m**3/3 + 127*m**2/3 - 3400*m/3 - 13872 = 0 for m."
},
{
"from": "gpt",
"value": "-9, 68"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) -4.35 (b) 1/7 (c) 0.4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is the square root of 3367 to the nearest integer?"
},
{
"from": "gpt",
"value": "58"
}
] |
[
{
"from": "human",
"value": "Let u(v) be the third derivative of -2*v**7/105 - v**6/3 - 32*v**5/15 - 16*v**4/3 - 18*v**2. Let u(t) = 0. What is t?"
},
{
"from": "gpt",
"value": "-4, -2, 0"
}
] |
[
{
"from": "human",
"value": "What is the r'th term of 17, -3, -37, -85, -147, -223?"
},
{
"from": "gpt",
"value": "-7*r**2 + r + 23"
}
] |
[
{
"from": "human",
"value": "Suppose f + 33 = 2*r - 4*f, 5*r - 4*f = 40. Solve -b + 12 = -r*b for b."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let u = 7 - 6.6. Let m = -0.9 + -0.1. What is the nearest to m in u, 5, 1/2?"
},
{
"from": "gpt",
"value": "u"
}
] |
[
{
"from": "human",
"value": "Multiply 73 and 0.07."
},
{
"from": "gpt",
"value": "5.11"
}
] |
[
{
"from": "human",
"value": "Let a = 0.1 - 0.2. Let l = -4 + 10. Let i = -5 + l. What is the smallest value in i, a, -0.2?"
},
{
"from": "gpt",
"value": "-0.2"
}
] |
[
{
"from": "human",
"value": "Express -14*d + 0*d**2 + 2*d**2 + 15*d in the form k*d**2 + s + p*d and give s."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "In base 8, what is 0 - -21?"
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "Let s(k) be the third derivative of k**8/84 - 4*k**7/105 + 7*k**2. Solve s(j) = 0 for j."
},
{
"from": "gpt",
"value": "0, 2"
}
] |
[
{
"from": "human",
"value": "What is the p'th term of -1892, -1891, -1890, -1889?"
},
{
"from": "gpt",
"value": "p - 1893"
}
] |
[
{
"from": "human",
"value": "Let p(f) = 17*f**3 - 7*f**2 + 13*f - 42. What is the units digit of p(6)?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "What is the b'th term of -24, -30, -38, -48?"
},
{
"from": "gpt",
"value": "-b**2 - 3*b - 20"
}
] |
[
{
"from": "human",
"value": "Divide 310 by 62."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let w(j) = 6*j**2. Let a(n) = 2*n. Let v(t) = 6*t. Let k(q) = -8*a(q) + 3*v(q). Give k(w(i))."
},
{
"from": "gpt",
"value": "12*i**2"
}
] |
[
{
"from": "human",
"value": "What is the next term in 10, -21, -64, -113, -162, -205, -236?"
},
{
"from": "gpt",
"value": "-249"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 32950?"
},
{
"from": "gpt",
"value": "2, 5, 659"
}
] |
[
{
"from": "human",
"value": "Evaluate (0/2 - 1)*38/38."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is (-3)/(-7) + 0 + (-4)/14?"
},
{
"from": "gpt",
"value": "1/7"
}
] |
[
{
"from": "human",
"value": "What is the value of (-100)/26 + (-8)/52?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Is 118 a factor of 25551?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose 2*q = 3*q. What is the units digit of (-1)/((q - -1) + -2)?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let x(l) = -2 + 3 + 7*l + 1 - 3*l. Let o be x(2). Solve -q = -3*q + o for q."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let d = 53 + -94. Let i = 62 + d. What is the greatest common factor of i and 14?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 56230 to the nearest integer?"
},
{
"from": "gpt",
"value": "38"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 4*z - 0 - 36. Suppose 4*l = -w + 30, -3*w = -6*w + 2*l + 20. Suppose 14*p = w*p + 140. What is the remainder when p is divided by z?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Let f be 2 + -3 + (-1 - -3). Let i be f/1*4*15. Suppose -x - i = -3*x. Calculate the greatest common divisor of x and 6."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "What is next in 42, 106, 180, 270, 382, 522?"
},
{
"from": "gpt",
"value": "696"
}
] |
[
{
"from": "human",
"value": "Which is the second smallest value? (a) 5/2 (b) -2 (c) -0.09"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let y = 0.07 + 2.93. Let a = y - 5. Suppose -3*t + 20 = -5*z - 13, 0 = -4*z - t - 23. Sort z, 3, a."
},
{
"from": "gpt",
"value": "z, a, 3"
}
] |
[
{
"from": "human",
"value": "19*0.045"
},
{
"from": "gpt",
"value": "0.855"
}
] |
[
{
"from": "human",
"value": "In base 14, what is 75 + 3?"
},
{
"from": "gpt",
"value": "78"
}
] |
[
{
"from": "human",
"value": "What comes next: -7, -18, -29, -34, -27, -2?"
},
{
"from": "gpt",
"value": "47"
}
] |
[
{
"from": "human",
"value": "Solve 5*k - 13 - 7 = 0 for k."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "(-9)/27*(-12)/(-2)"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Factor -c**4 + 34*c**3 - 31*c**2 - 66*c."
},
{
"from": "gpt",
"value": "-c*(c - 33)*(c - 2)*(c + 1)"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(78)*-1)/sqrt(6))**2 + 2 + sqrt(26)/sqrt(2) + sqrt(39)/(sqrt(3) - 2*sqrt(3)*-1)."
},
{
"from": "gpt",
"value": "4*sqrt(13)/3 + 15"
}
] |
[
{
"from": "human",
"value": "What is 114 divided by -3?"
},
{
"from": "gpt",
"value": "-38"
}
] |
[
{
"from": "human",
"value": "Express (-12 - 1 - 2)*(3*x - 2*x**3 - 3*x) - 4*x**3 + 5*x**3 + x**3 as i*x + z*x**3 + q + t*x**2 and give t."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Is 0 at most -1/19230?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is 0.127637 plus -1.7?"
},
{
"from": "gpt",
"value": "-1.572363"
}
] |
[
{
"from": "human",
"value": "Is 29 at least as big as 28?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the b'th term of -1, -23, -47, -61, -53?"
},
{
"from": "gpt",
"value": "2*b**3 - 13*b**2 + 3*b + 7"
}
] |
[
{
"from": "human",
"value": "Let d = 18 - 14. Factor 20/3*r + 10*r**3 - 37/3*r**2 - 3*r**d - 4/3."
},
{
"from": "gpt",
"value": "-(r - 1)**2*(3*r - 2)**2/3"
}
] |
[
{
"from": "human",
"value": "Let t(z) = 6*z - 1. Let s(i) = 7*i - 1. Let l(y) = 5*s(y) - 6*t(y). Let o be l(-5). Suppose -o*q + 20 = -q. Solve 0 = -q*h - 2 - 6 for h."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let y(p) be the second derivative of p**4/12 + 7*p. Solve y(f) = 0 for f."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the value of ((-2)/14)/((-24)/28)?"
},
{
"from": "gpt",
"value": "1/6"
}
] |
[
{
"from": "human",
"value": "What is the n'th term of -141, -536, -1195, -2118?"
},
{
"from": "gpt",
"value": "-132*n**2 + n - 10"
}
] |
[
{
"from": "human",
"value": "What is the third biggest value in 2, -4/5, -7, 1, 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is 1171 to the power of 1/6, to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Is -111 > -552/5?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "0 - 30.34"
},
{
"from": "gpt",
"value": "-30.34"
}
] |
[
{
"from": "human",
"value": "What is the sixth root of 1995 to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let n be 6 + -7 + -1 + 6. Let w = 9 - 5. Suppose 8 - w = f. Solve 2*o + 0*r = 2*r - n, -3*r - 29 = f*o for o."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Sort 2/9, -1, -1/40, 0.3, -37 in decreasing order."
},
{
"from": "gpt",
"value": "0.3, 2/9, -1/40, -1, -37"
}
] |
[
{
"from": "human",
"value": "Solve -8450*k**3 + 8970*k**2 - 528*k + 8 = 0."
},
{
"from": "gpt",
"value": "2/65, 1"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -40 or 1?"
},
{
"from": "gpt",
"value": "-40"
}
] |
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