conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Let r be 0 - (-1 - 2 - 2). Let s = r + -3. Suppose -3*d - s + 17 = 0. Calculate the lowest common multiple of 1 and d."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0 in 6, 0.2, 0.5?"
},
{
"from": "gpt",
"value": "0.2"
}
] |
[
{
"from": "human",
"value": "Is 10 a factor of 687?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Sort 221, -3, -0.4, 0.4, 0.3 in descending order."
},
{
"from": "gpt",
"value": "221, 0.4, 0.3, -0.4, -3"
}
] |
[
{
"from": "human",
"value": "Let f = 4.42 + 0.58. Sort -2/7, -6, -0.4, f in decreasing order."
},
{
"from": "gpt",
"value": "f, -2/7, -0.4, -6"
}
] |
[
{
"from": "human",
"value": "Let z(t) be the third derivative of 0 + 1/20*t**5 + 0*t - 1/3*t**3 + 0*t**4 - 3*t**2. Differentiate z(w) wrt w."
},
{
"from": "gpt",
"value": "6*w"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of 35/96 and 17/33."
},
{
"from": "gpt",
"value": "1056"
}
] |
[
{
"from": "human",
"value": "Let s = -13930173.34399862 - -13930030.344. Let y = s + 143. Round y to seven decimal places."
},
{
"from": "gpt",
"value": "1.4e-06"
}
] |
[
{
"from": "human",
"value": "Factor u**2/4 + 6*u."
},
{
"from": "gpt",
"value": "u*(u + 24)/4"
}
] |
[
{
"from": "human",
"value": "6/7*168/(-72)"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let t = -0.08 - -0.05. Let p = t + -0.07. Which is the closest to 1/4? (a) -1/4 (b) 4/3 (c) p"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Is 65761 composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common factor of 4056 and 169."
},
{
"from": "gpt",
"value": "169"
}
] |
[
{
"from": "human",
"value": "Simplify ((-4*(sqrt(24) - sqrt(216)))/((sqrt(12) + (sqrt(12) - sqrt(12)*-2))*-2))**2."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let d be (-42)/24 - 6/(-4). Let q = 1.4 - -0.6. Let w = q - 3. Which is the closest to 0? (a) w (b) 0.1 (c) d"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Work out -12 * -0.49."
},
{
"from": "gpt",
"value": "5.88"
}
] |
[
{
"from": "human",
"value": "Calculate (-8)/((-1440)/(-21)) - (-4)/16."
},
{
"from": "gpt",
"value": "2/15"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 5072?"
},
{
"from": "gpt",
"value": "2, 317"
}
] |
[
{
"from": "human",
"value": "Let p(h) = 10 - h. Let x be p(0). Suppose 0*l - l = 6. Let q be l/5*(-20)/8. Solve -u = 4*s - 9 - x, 7 = 4*s - q*u for s."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Solve -2 = 4*v + 2*g, -9*v = -7*v + 3*g - 5 for v."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Determine l, given that -l + 7/4*l**5 - 5*l**2 - 21/4*l**3 + 1/2*l**4 + 0 = 0."
},
{
"from": "gpt",
"value": "-1, -2/7, 0, 2"
}
] |
[
{
"from": "human",
"value": "Simplify 3*-3*sqrt(15)/sqrt(5)."
},
{
"from": "gpt",
"value": "-9*sqrt(3)"
}
] |
[
{
"from": "human",
"value": "Let w = -38 - -43. Solve 0 = 2*i - 10, 2*i - 30 = -w*s - 0*i for s."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Solve 17 = 5*n + v - 3, 3*v = -4*n + 16 for n."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Is 14983 prime?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Evaluate (3 - -1) + (-6 - (2 + 1))."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "(14 - 8) + -3 + 1"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Determine f so that -3*f**5 + 1179*f**4 - 115245*f**3 - 116427*f**2 = 0."
},
{
"from": "gpt",
"value": "-1, 0, 197"
}
] |
[
{
"from": "human",
"value": "Let t be 1 - (13/11 - 0). Let z(m) = -m**2 + 4*m - 3. Let c be z(2). What is the closest to c in 3/2, 0.2, t?"
},
{
"from": "gpt",
"value": "3/2"
}
] |
[
{
"from": "human",
"value": "What comes next: 7, 29, 67, 121, 191, 277, 379?"
},
{
"from": "gpt",
"value": "497"
}
] |
[
{
"from": "human",
"value": "Simplify (p**2)**9 assuming p is positive."
},
{
"from": "gpt",
"value": "p**18"
}
] |
[
{
"from": "human",
"value": "What is the fifth root of 9098 to the nearest integer?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "What comes next: 0, 5, 16, 33?"
},
{
"from": "gpt",
"value": "56"
}
] |
[
{
"from": "human",
"value": "Suppose 11*g - 44 = -0*g. Solve -m = -0*m + g for m."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is 3951 to the power of 1/10, to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let m be ((4/(-11))/4)/(-1). Sort m, 2/17, -25."
},
{
"from": "gpt",
"value": "-25, m, 2/17"
}
] |
[
{
"from": "human",
"value": "Let p = -18.2 + 18. What is the closest to 1 in -6, -2/5, p?"
},
{
"from": "gpt",
"value": "p"
}
] |
[
{
"from": "human",
"value": "In base 11, what is -3 - 19?"
},
{
"from": "gpt",
"value": "-21"
}
] |
[
{
"from": "human",
"value": "Let x be 6/(-14) - 76/(-14). Suppose -10 = -x*w - 0. Solve 4*b = -5*a - 4, 2*b - w = -a - 4 for b."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the next term in 3, 14, 29, 48?"
},
{
"from": "gpt",
"value": "71"
}
] |
[
{
"from": "human",
"value": "Suppose -4*c - 2*i + 0 + 4 = 0, -5*c - 2*i = -3. Let r = 1 - c. Solve -17 = 3*z + 2*u - 3*u, -r*u = -3*z - 22 for z."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Which is the fourth biggest value? (a) -0.1 (b) 0.14 (c) 0.3 (d) -1"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Expand (-1 + 1 - p)*(p**3 - 4*p**3 + 2*p**3) + 14*p**4 - 33*p**2 + 33*p**2."
},
{
"from": "gpt",
"value": "15*p**4"
}
] |
[
{
"from": "human",
"value": "What is the square root of 17764 to the nearest integer?"
},
{
"from": "gpt",
"value": "133"
}
] |
[
{
"from": "human",
"value": "What is the fourth root of 1739 to the nearest integer?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Solve -3*u + 7 = -54*c + 59*c, 0 = u - 4 for c."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let b = 9 - 2. Suppose -2 = j - b. Suppose -j*i = -0*i. Solve i*y + 15 = 5*y for y."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0.1? (a) 1.1 (b) 5 (c) -0.4 (d) -0.5"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Simplify 0 + sqrt(80)/sqrt(4)."
},
{
"from": "gpt",
"value": "2*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Is -120 less than or equal to -477/4?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let l(m) = -3*m - 2. Let w be l(-2). Suppose -w*p = 3*y - 10, -2*y + 6 = p + p. Solve 2*a**y + 4 - 4 = 0 for a."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Convert 711668.4mg to micrograms."
},
{
"from": "gpt",
"value": "711668400"
}
] |
[
{
"from": "human",
"value": "What is 98 minutes after 3:47 AM?"
},
{
"from": "gpt",
"value": "5:25 AM"
}
] |
[
{
"from": "human",
"value": "In base 8, what is -271 + 105?"
},
{
"from": "gpt",
"value": "-164"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 1601 to the nearest integer?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Calculate (-5)/(-20)*(-13)/(52/48)."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Solve 4*t - 3 = 1 for t."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let i(n) = -4*n**3 - 4*n**2 - n + 3. Calculate i(-2)."
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "What is the value of 15184/2496 + 2/(-24)?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Solve -k - 4*s + 4 = 0, -4*k + 0*k + 16 = 5*s for k."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let y = -16 + 9. Let b = -5 - y. Factor 0*s**b - 5*s + s**4 - 2*s**3 + 3*s**3 - 2 + 0*s**2 - 3*s**2."
},
{
"from": "gpt",
"value": "(s - 2)*(s + 1)**3"
}
] |
[
{
"from": "human",
"value": "What is -3 (base 5) in base 9?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What comes next: 6, 26, 46?"
},
{
"from": "gpt",
"value": "66"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in -0.5, 2, -1, 30?"
},
{
"from": "gpt",
"value": "-0.5"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(567) + -2*(sqrt(567) - (-1 + sqrt(567)))**2 + sqrt(567)."
},
{
"from": "gpt",
"value": "-2 + 18*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 3*z - z - 5*z + 8*z**2 wrt z."
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "Suppose t - 4*t + 5*u = -11, -5*u = 5. Suppose -4*y - y - 5 = 0, 31 = t*k - y. What is the units digit of k?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let q(s) = s**2 + 5*s + 1. Let m be q(-6). Suppose -2*h + m*h - 68 = 4*r, 2*r + 58 = 4*h. Solve -x = 5*t - 3*x + 20, -4*t + x - h = 0 for t."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What comes next: 39, 45, 53, 63, 75, 89?"
},
{
"from": "gpt",
"value": "105"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) 4.62 (b) 0 (c) -0.3"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Is 583 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 974 is divided by 216."
},
{
"from": "gpt",
"value": "110"
}
] |
[
{
"from": "human",
"value": "Let m(g) = -g - 1. Let a(p) = -9*p - 2. Let t(s) = a(s) - 2*m(s). Let d(w) = -4*w. Give d(t(n))."
},
{
"from": "gpt",
"value": "28*n"
}
] |
[
{
"from": "human",
"value": "Is 27259 a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the first derivative of -2*l**2*v + 1810*l*v - 1138*v wrt l?"
},
{
"from": "gpt",
"value": "-4*l*v + 1810*v"
}
] |
[
{
"from": "human",
"value": "Let i(t) = 14*t - 3. Let r(z) = 2 - 13*z. Let d(c) = -c - 10. Let k be d(-5). Let u(m) = k*i(m) - 6*r(m). Is u(4) composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the next term in 1587, 1589, 1591?"
},
{
"from": "gpt",
"value": "1593"
}
] |
[
{
"from": "human",
"value": "Solve 1318 = -2*l + 1312 for l."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Suppose 5 = 2*k - l, 3*k + 3*l = 2*k - 15. Solve k = -a - m - 3, 7*a - 2*m - 20 = 2*a for a."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -952*c**6 + 4*c**2 + 56."
},
{
"from": "gpt",
"value": "-114240*c**3"
}
] |
[
{
"from": "human",
"value": "Suppose -6 = -2*k + 2*n, 2*n + 0*n = 4*k - 14. Let l = 135 + -132. Solve -l*s = -5*s + k for s."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is next in -66, -123, -184, -249, -318, -391, -468?"
},
{
"from": "gpt",
"value": "-549"
}
] |
[
{
"from": "human",
"value": "Let n be 4/(((-6)/(-3))/2). Suppose -n*q + x = -60, 2*q + 0*x - 32 = x. Suppose 2*w = 3*w - q. What is the remainder when 54 is divided by w?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Let v = -24 - -95/4. Let r = 0 - v. Which is the nearest to 1/4? (a) -4 (b) -2 (c) r"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common factor of 168 and 312."
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "3*22/((-66)/(-6))"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let o = -176 + 165. Which is the nearest to 1? (a) -1 (b) o (c) -5"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the second biggest value in 17, -2/5, 1/5, 5?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let b be (2*(-5 + 0))/(-2). Solve -31 = 3*v + 3*f + 2*f, 5*v - f + b = 0 for v."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the third root of 4480 to the nearest integer?"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 20303?"
},
{
"from": "gpt",
"value": "79, 257"
}
] |
[
{
"from": "human",
"value": "Differentiate 3*q**3 - 615*q**2 + 6162 with respect to q."
},
{
"from": "gpt",
"value": "9*q**2 - 1230*q"
}
] |
[
{
"from": "human",
"value": "0.3+6.97"
},
{
"from": "gpt",
"value": "7.27"
}
] |
[
{
"from": "human",
"value": "What is the tens digit of 7411?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let a(h) = 2947*h + 3019. Give a(-1)."
},
{
"from": "gpt",
"value": "72"
}
] |
[
{
"from": "human",
"value": "Multiply 1220 and 8."
},
{
"from": "gpt",
"value": "9760"
}
] |
[
{
"from": "human",
"value": "What comes next: 6, 33, 102, 231, 438, 741, 1158, 1707?"
},
{
"from": "gpt",
"value": "2406"
}
] |
[
{
"from": "human",
"value": "Does 22 divide 803?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let f be ((-3)/(-312))/(54/(-890)). Let y = -1687 + 364393/216. Let s = f + y. Which is the second smallest value? (a) s (b) -5 (c) 1"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -4*f - 5*v - 30, 4*f + 88*v - 86*v = -24 for f."
},
{
"from": "gpt",
"value": "-5"
}
] |
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