conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Let i be (-3 - (-2)/3)*-3. Let q be -2 + i + (-3 - -1). Solve 4 = -q*z + 1 for z."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Is 122816357 a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is five eighths of a millimeter in micrometers?"
},
{
"from": "gpt",
"value": "625"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 611 is divided by 102."
},
{
"from": "gpt",
"value": "101"
}
] |
[
{
"from": "human",
"value": "In base 13, what is 80 - -8?"
},
{
"from": "gpt",
"value": "88"
}
] |
[
{
"from": "human",
"value": "What is the difference between 0.3 and 3218?"
},
{
"from": "gpt",
"value": "3217.7"
}
] |
[
{
"from": "human",
"value": "What is 50.30927 millilitres in litres?"
},
{
"from": "gpt",
"value": "0.05030927"
}
] |
[
{
"from": "human",
"value": "What is -33626 rounded to the nearest 10000?"
},
{
"from": "gpt",
"value": "-30000.0"
}
] |
[
{
"from": "human",
"value": "What is 30535 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "175"
}
] |
[
{
"from": "human",
"value": "In base 9, what is 2 - 561?"
},
{
"from": "gpt",
"value": "-558"
}
] |
[
{
"from": "human",
"value": "What is the next term in 2, -1, -4, -7, -10, -13?"
},
{
"from": "gpt",
"value": "-16"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in 2, -1, 0.01?"
},
{
"from": "gpt",
"value": "0.01"
}
] |
[
{
"from": "human",
"value": "Suppose 5*r - 21 = -2*b, 3*r - 7 = -b + 5. Determine c, given that 1/5*c**4 - 1/5*c - 1/5*c**5 + 1/5 + 2/5*c**r - 2/5*c**2 = 0."
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "Let s(z) = 2*z**2 + 6*z + 4. Let h(a) = a + 3. Let b be h(0). Let o(f) = 7*f - 1 - 3*f - 2*f - b*f. Let k(r) = -8*o(r) - s(r). What is q in k(q) = 0?"
},
{
"from": "gpt",
"value": "-1, 2"
}
] |
[
{
"from": "human",
"value": "Let k(v) = 26*v**2. What is the tens digit of k(-1)?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the closest to 2 in -1, -239, 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let k = 16 - 11. Let y be (-231)/(-10) - (-8)/20. Let g = y - 239/10. Which is the nearest to 1/5? (a) k (b) -1/4 (c) g"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Multiply -112 and 0.14."
},
{
"from": "gpt",
"value": "-15.68"
}
] |
[
{
"from": "human",
"value": "Put -5, 4, 3, 25, -19 in decreasing order."
},
{
"from": "gpt",
"value": "25, 4, 3, -5, -19"
}
] |
[
{
"from": "human",
"value": "Solve -187*d = -195*d - 40 for d."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve -4*v + 15 = -1 for v."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Calculate the smallest common multiple of 351 and 117."
},
{
"from": "gpt",
"value": "351"
}
] |
[
{
"from": "human",
"value": "Find the first derivative of -4*a*i + 3*a - 5*i + 4 wrt a."
},
{
"from": "gpt",
"value": "3 - 4*i"
}
] |
[
{
"from": "human",
"value": "Let x be 154/70 + (-2)/10. Let p(t) = -t - 3. Let z be p(-6). Find the third derivative of z*c**5 - 2*c**5 + 4*c**x + 3*c**6 - c**5 wrt c."
},
{
"from": "gpt",
"value": "360*c**3"
}
] |
[
{
"from": "human",
"value": "Solve -3 - 1 = -2*q + 2*x, -5*q = 3*x - 10 for q."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the next term in -345, -352, -359, -366, -373, -380?"
},
{
"from": "gpt",
"value": "-387"
}
] |
[
{
"from": "human",
"value": "Solve -8 = -3*n + 4*c, -29*n + 4*c + 8 = -24*n for n."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let k = -10 + 6. Let p = -3.7 + 3.2. Put -2/7, p, k in descending order."
},
{
"from": "gpt",
"value": "-2/7, p, k"
}
] |
[
{
"from": "human",
"value": "Let z be (-1 + (-3)/(-9))*-3. Suppose z*m + 4 = 6*m. Which is smaller: -1/6 or m?"
},
{
"from": "gpt",
"value": "-1/6"
}
] |
[
{
"from": "human",
"value": "Let d = -1424 + 9426. List the prime factors of d."
},
{
"from": "gpt",
"value": "2, 4001"
}
] |
[
{
"from": "human",
"value": "Solve 2*t + 11 = 5*h, -4*t + h = 6*h - 23 for t."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -g*j**3 + 125*g*j + 3*j**4 + 15*j**2 + 2*j wrt j."
},
{
"from": "gpt",
"value": "-6*g*j + 36*j**2 + 30"
}
] |
[
{
"from": "human",
"value": "What is the closest to -0.3 in -3, -0.2, -11?"
},
{
"from": "gpt",
"value": "-0.2"
}
] |
[
{
"from": "human",
"value": "Let t(n) = 2*n. Let g(l) be the second derivative of 23*l**4/12 + 10*l. What is g(t(m))?"
},
{
"from": "gpt",
"value": "92*m**2"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of -12064, -12063, -12062?"
},
{
"from": "gpt",
"value": "u - 12065"
}
] |
[
{
"from": "human",
"value": "Which is the fourth smallest value? (a) -1 (b) 0.08 (c) 1.3 (d) -2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "46030 divided by -5"
},
{
"from": "gpt",
"value": "-9206"
}
] |
[
{
"from": "human",
"value": "Let q = 9.63 + -14.32. Let h = -4.5 - q. Let r = 0.01 + h. Which is greater: 2 or r?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let o(d) = 8 - d. Let v be o(10). Put 2/7, v, -21, 3 in decreasing order."
},
{
"from": "gpt",
"value": "3, 2/7, v, -21"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common divisor of 8 and 49536."
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Let l(h) = 6*h. Let u(f) = -20*f**2 - 14*f - 20. Let g(j) = 7*j**2 + 5*j + 7. Let y(n) = 17*g(n) + 6*u(n). Let o be y(2). Let r = o - -2. Give l(r)."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 7 and 3402?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Put 2/25, 0.17, 0.3 in increasing order."
},
{
"from": "gpt",
"value": "2/25, 0.17, 0.3"
}
] |
[
{
"from": "human",
"value": "What is the tenth root of 25034 to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Find g, given that 3*g**2/7 - 1079*g/7 + 718/7 = 0."
},
{
"from": "gpt",
"value": "2/3, 359"
}
] |
[
{
"from": "human",
"value": "Which is greater: 0 or 10.4?"
},
{
"from": "gpt",
"value": "10.4"
}
] |
[
{
"from": "human",
"value": "Evaluate 2 + -5 + (-3 - -6)."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "0 + 7 + (-2 - (-8 + 11))"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is next in -17, -17, -13, -5, 7, 23?"
},
{
"from": "gpt",
"value": "43"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -2/3 in 3, 3/115, -2/15?"
},
{
"from": "gpt",
"value": "-2/15"
}
] |
[
{
"from": "human",
"value": "Let d = -455 + 309. Let r = -1.9488 - -148.5388. Let j = d + r. Round j to 1 dp."
},
{
"from": "gpt",
"value": "0.6"
}
] |
[
{
"from": "human",
"value": "Let n(p) be the second derivative of p**4/16 + 3*p**3/4 + 15*p**2/8 + 7*p. Suppose n(w) = 0. Calculate w."
},
{
"from": "gpt",
"value": "-5, -1"
}
] |
[
{
"from": "human",
"value": "Let g = 275 - 83. Suppose 2*y = 8*y - g. Suppose -o - 2*u + 0*u + 12 = 0, y = 2*o - 4*u. Calculate the greatest common factor of o and 2."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -87 + 87 + 4*o**2."
},
{
"from": "gpt",
"value": "4*o**2"
}
] |
[
{
"from": "human",
"value": "What is -3 + (6 - -3 - 2)?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let d be 32/(-4) - (-17 - (-21)/3). Solve -2*w - d*w + 16 = p, 15 = 5*w for p."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let i(o) = 3. Let k(n) = n - 1. Let y(h) = i(h) + 4*k(h). Let d(a) = 21*a - 5. Calculate -2*d(j) + 11*y(j)."
},
{
"from": "gpt",
"value": "2*j - 1"
}
] |
[
{
"from": "human",
"value": "Solve 136*h + 34*h + 15496 - 24846 = 0 for h."
},
{
"from": "gpt",
"value": "55"
}
] |
[
{
"from": "human",
"value": "Solve -12032 = 440*c + 9088 for c."
},
{
"from": "gpt",
"value": "-48"
}
] |
[
{
"from": "human",
"value": "Solve 59 = 8*m + 19 for m."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the next term in 2039, 2039, 2041, 2045?"
},
{
"from": "gpt",
"value": "2051"
}
] |
[
{
"from": "human",
"value": "Round -0.044155 to four decimal places."
},
{
"from": "gpt",
"value": "-0.0442"
}
] |
[
{
"from": "human",
"value": "Solve -2*h - g - 1 = 0, g = 2*g + 3 for h."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Factor 55*t**2 + 465*t - 520."
},
{
"from": "gpt",
"value": "5*(t - 1)*(11*t + 104)"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(1782)*-2 - sqrt(1782))*-6)/(sqrt(512) + -2*sqrt(512))."
},
{
"from": "gpt",
"value": "-81*sqrt(11)/8"
}
] |
[
{
"from": "human",
"value": "Suppose 4*m - 3*l + 1 = 0, 5*m + 5*l = -0*m - 10. Which is the nearest to -13? (a) 1/2 (b) 1 (c) m"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let d(i) be the second derivative of -i**8/6720 + i**7/840 + i**4/6 + 3*i. Let u(v) be the third derivative of d(v). Find the third derivative of u(z) wrt z."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0? (a) -5 (b) -9.2 (c) 0.02"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let i = 92 - 94. Which is the smallest value? (a) i (b) -4/5 (c) 2 (d) 5"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Determine x so that 5*x**2 - 27777680*x + 38579975309120 = 0."
},
{
"from": "gpt",
"value": "2777768"
}
] |
[
{
"from": "human",
"value": "Simplify 3 + (sqrt(44)/(sqrt(4)*2 - sqrt(4)) - sqrt(11)) - (sqrt(11) + -5 + sqrt(99) - (sqrt(11) + (sqrt(11) - (4 + -1*sqrt(11)))))."
},
{
"from": "gpt",
"value": "4 - sqrt(11)"
}
] |
[
{
"from": "human",
"value": "Let y = -5.4800227 + 5.48. What is y rounded to six dps?"
},
{
"from": "gpt",
"value": "-2.3e-05"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -41*s - 5 - 159 for s."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let s(k) = 20*k**5 + 7*k**2 + 4*k. Let y(c) = -39*c**5 - 14*c**2 - 7*c. Let a(u) = -7*s(u) - 4*y(u). What is the third derivative of a(n) wrt n?"
},
{
"from": "gpt",
"value": "960*n**2"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 5/4? (a) -5 (b) 0.2 (c) 21"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Expand (-c + 4*c - 2*c)*(-10 - 12 - 2)."
},
{
"from": "gpt",
"value": "-24*c"
}
] |
[
{
"from": "human",
"value": "What is next in 52, 74, 110, 160, 224, 302, 394?"
},
{
"from": "gpt",
"value": "500"
}
] |
[
{
"from": "human",
"value": "What is the third root of 10928 to the nearest integer?"
},
{
"from": "gpt",
"value": "22"
}
] |
[
{
"from": "human",
"value": "Let y be ((-66)/(-4))/(15/160). Suppose 0 = w + w - 32. Calculate the highest common divisor of y and w."
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "((-12)/(-20))/(3/15)"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Evaluate (40/(-20))/((-1)/2)."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let l = 157 + -156. Suppose 0 = -4*y + 2*y. Is l equal to y?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let r = -2 - -6. Suppose -16 = -4*b + q + 3*q, -3*b - r*q = 2. Solve -b*g = g for g."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 684 is divided by 175."
},
{
"from": "gpt",
"value": "159"
}
] |
[
{
"from": "human",
"value": "Let o = 1 - 1. Let x be (-3 + -1)/(-1*1). Let l be -6 + 3 - x/(-1). Solve o = f - l - 0 for f."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose -4*x**3 + 200*x**2 - 1792*x - 18816 = 0. Calculate x."
},
{
"from": "gpt",
"value": "-6, 28"
}
] |
[
{
"from": "human",
"value": "Let q(x) = -21*x - 45. Is q(-8) a multiple of 11?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(120)/sqrt(2) + sqrt(60))/sqrt(12)*-6 + (sqrt(210)/(sqrt(6) - (sqrt(96) - sqrt(6))))/sqrt(7) + -3 + 3."
},
{
"from": "gpt",
"value": "-25*sqrt(5)/2"
}
] |
[
{
"from": "human",
"value": "What is next in -21, -71, -183, -387, -713?"
},
{
"from": "gpt",
"value": "-1191"
}
] |
[
{
"from": "human",
"value": "Let u(z) = z**2 - 14*z - 29. Let b be u(16). What is the greatest common divisor of 33 and b?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let m be ((-2)/(-4))/((-3)/(-6)). Let b(n) = 2*n**3 + n. Let f be b(m). What is the second derivative of 6*t + 0*t + f*t**2 - 8*t wrt t?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "6/(-33) - (-13)/(429/(-126))"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 86082?"
},
{
"from": "gpt",
"value": "2, 3, 14347"
}
] |
[
{
"from": "human",
"value": "What comes next: 10, 27, 54, 91?"
},
{
"from": "gpt",
"value": "138"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -293*d**2 + 190*d."
},
{
"from": "gpt",
"value": "-586"
}
] |
[
{
"from": "human",
"value": "What is the x'th term of 89, 202, 301, 380, 433, 454, 437?"
},
{
"from": "gpt",
"value": "-x**3 - x**2 + 123*x - 32"
}
] |
[
{
"from": "human",
"value": "What comes next: -11, 16, 91, 238, 481, 844?"
},
{
"from": "gpt",
"value": "1351"
}
] |
[
{
"from": "human",
"value": "What is next in -3, -22, -53, -102, -175, -278?"
},
{
"from": "gpt",
"value": "-417"
}
] |
[
{
"from": "human",
"value": "Solve -15 = -229*y + 224*y for y."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Sort 0.26, -0.15, -1, -4330."
},
{
"from": "gpt",
"value": "-4330, -1, -0.15, 0.26"
}
] |
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