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[ { "from": "human", "value": "What is the value of (2/(-3))/(30 - 26)?" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "Solve 14*q = 5*q - 18 for q." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 8, what is -15 - 17?" }, { "from": "gpt", "value": "-34" } ]
[ { "from": "human", "value": "Solve -3*j**5/4 + 9*j**4/4 - 3*j**3/4 - 9*j**2/4 + 3*j/2 = 0 for j." }, { "from": "gpt", "value": "-1, 0, 1, 2" } ]
[ { "from": "human", "value": "(5 - (6 + (-10 - -6))) + -8" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve -5*z - 35 = -5*r, 6*r - 4*r + 4*z + 10 = 0 for r." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let u be (560/2)/4*7. Suppose -3*k - 3*q = -2*k - 170, 4*q - u = -3*k. Is k a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 3*t + 3*q - 30 = 0, 3*t - 2*q = 23 - 3. Suppose -t = f - 30. Does 9 divide f?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the eighth root of 2347 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate 225/(-15)*2/12*2." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "In base 16, what is -3 + -16b?" }, { "from": "gpt", "value": "-16e" } ]
[ { "from": "human", "value": "Suppose o + 4 + 17 = 0. Is (-4)/14 + (-720)/o a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let u = 10 - 10.1. Which is the nearest to u? (a) 1/2 (b) 2 (c) -0.1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "((-4)/6)/(2/9)" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "How many nanoseconds are there in 1/10 of a microsecond?" }, { "from": "gpt", "value": "100" } ]
[ { "from": "human", "value": "Simplify -1 + 2*sqrt(208)." }, { "from": "gpt", "value": "-1 + 8*sqrt(13)" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 37216 and 32?" }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 807 and 12." }, { "from": "gpt", "value": "3228" } ]
[ { "from": "human", "value": "Suppose 0 = h + 5*n + 16, 4*n = 3*h - 5 - 4. Which is the closest to h? (a) 5 (b) -0.2 (c) 1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -2*a = -2*n + 8, 0 = -4*n - a + 11. Let -11*g**2 - g**2 - 4 + 10*g**n - 6*g**3 + 12*g = 0. Calculate g." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify h**(-2/9)/h**(1/2) assuming h is positive." }, { "from": "gpt", "value": "h**(-13/18)" } ]
[ { "from": "human", "value": "What is the a'th term of 183, 352, 509, 648, 763, 848?" }, { "from": "gpt", "value": "-a**3 + 176*a + 8" } ]
[ { "from": "human", "value": "Sort -159, -8, 2 in descending order." }, { "from": "gpt", "value": "2, -8, -159" } ]
[ { "from": "human", "value": "Let t be (1 + -2)/(6 + -5). Which is greater: t or -8/7?" }, { "from": "gpt", "value": "t" } ]
[ { "from": "human", "value": "What is 191 minutes after 11:34 PM?" }, { "from": "gpt", "value": "2:45 AM" } ]
[ { "from": "human", "value": "What is the nearest to -3 in -5, 11, 0.4, -0.1?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let g(t) = -t**2 - 10*t - 22. Let a be g(-6). Let s(p) be the second derivative of -1/4*p**a + 0 - 5/24*p**4 + 1/3*p**3 + 1/20*p**5 + 3*p. Factor s(f)." }, { "from": "gpt", "value": "(f - 1)**2*(2*f - 1)/2" } ]
[ { "from": "human", "value": "Calculate 4/3 - 15/30." }, { "from": "gpt", "value": "5/6" } ]
[ { "from": "human", "value": "How many microseconds are there in 3193.97 nanoseconds?" }, { "from": "gpt", "value": "3.19397" } ]
[ { "from": "human", "value": "Suppose 3*i = -8*i + 11. Calculate the smallest common multiple of 8 and i." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the remainder when 117 is divided by 91?" }, { "from": "gpt", "value": "26" } ]
[ { "from": "human", "value": "What is 6*(55/15 + -4)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let q(a) be the second derivative of a**7/252 + a**6/36 + 3*a**5/40 + 7*a**4/72 + a**3/18 + 8*a. Determine v, given that q(v) = 0." }, { "from": "gpt", "value": "-2, -1, 0" } ]
[ { "from": "human", "value": "Simplify (sqrt(119) - (sqrt(119) + sqrt(119)*2*-5 + sqrt(119)))/(-4*sqrt(112))." }, { "from": "gpt", "value": "-9*sqrt(17)/16" } ]
[ { "from": "human", "value": "What is next in -41, -62, -57, -14, 79, 234?" }, { "from": "gpt", "value": "463" } ]
[ { "from": "human", "value": "What is the next term in 418, 414, 410, 406, 402, 398?" }, { "from": "gpt", "value": "394" } ]
[ { "from": "human", "value": "Calculate -383 - -0.3." }, { "from": "gpt", "value": "-382.7" } ]
[ { "from": "human", "value": "What is -0.06 times -3.3?" }, { "from": "gpt", "value": "0.198" } ]
[ { "from": "human", "value": "Let g(m) be the first derivative of 0*m**2 + 8 - 10/3*m**3 - 3/2*m**4 + 0*m. What is the third derivative of g(r) wrt r?" }, { "from": "gpt", "value": "-36" } ]
[ { "from": "human", "value": "What is 1/10 of a century in decades?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 0 = 80*q - 141*q + 2306898. What are the prime factors of q?" }, { "from": "gpt", "value": "2, 3, 11, 191" } ]
[ { "from": "human", "value": "Does 3 divide 100?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -5 - -4 - ((-1 - -1) + 4)?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Subtract 7957019 from 818388." }, { "from": "gpt", "value": "-7138631" } ]
[ { "from": "human", "value": "Let r = 32 - 1. Let d = -22 + r. What is the remainder when d is divided by 5?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the next term in -167, -336, -505, -674, -843, -1012?" }, { "from": "gpt", "value": "-1181" } ]
[ { "from": "human", "value": "How many minutes are there between 7:23 AM and 7:37 AM?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Evaluate 0 + -6 + 8 - 10." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Let q be ((0 - 75)/(-3))/1. Let c be 1/2 + (-49)/(-2). Solve 0 = i - 3*i + 5*l + q, -i = 5*l + c for i." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is -2 + 10 - (1 + 4)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the next term in -37, -74, -111?" }, { "from": "gpt", "value": "-148" } ]
[ { "from": "human", "value": "Let q = -6 - -8. What is the lowest common multiple of 2 and q?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -2796*b + 2800*b + 28 = 0 for b." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let c be 22/(-6) + 4/6. Let k be c/(-3)*1 - -1. Suppose 1 + 0*u**2 - u**k + 0*u**2 = 0. Calculate u." }, { "from": "gpt", "value": "-1, 1" } ]
[ { "from": "human", "value": "Let i(s) = -24*s**2 - 27*s - 27. Let n(j) = j**2 + j + 1. Give -4*i(z) - 108*n(z)." }, { "from": "gpt", "value": "-12*z**2" } ]
[ { "from": "human", "value": "In base 3, what is -1012201 - -2?" }, { "from": "gpt", "value": "-1012122" } ]
[ { "from": "human", "value": "What is the q'th term of -39, -85, -131, -177, -223, -269?" }, { "from": "gpt", "value": "7 - 46*q" } ]
[ { "from": "human", "value": "Let v be 1*6/3 + 2. Calculate the highest common divisor of v and 1." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Evaluate -1*15/(-10)*20/15." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "20804+-0.84" }, { "from": "gpt", "value": "20803.16" } ]
[ { "from": "human", "value": "Does 120 divide 5498?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 5*x = -c - 45, 0 = 5*x + 18 + 2. Let q = 17 - c. What are the prime factors of q?" }, { "from": "gpt", "value": "2, 3, 7" } ]
[ { "from": "human", "value": "Is 190471 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Evaluate (3 + 78/(-18))/(-8)." }, { "from": "gpt", "value": "1/6" } ]
[ { "from": "human", "value": "Let s be 1 + -3*26/(-6). Is 12 a factor of (-4)/s + (-340)/(-14)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -2*o + 1 = -4*b + 33, -3*o - 3*b = 12. Calculate the common denominator of -22 and ((-6)/o)/(2/12)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What comes next: 42, 43, 56, 87, 142?" }, { "from": "gpt", "value": "227" } ]
[ { "from": "human", "value": "Let u(r) = -4*r**3 - 10*r**2 - 15*r - 12. Let q(k) = -k**3 - k**2 - 1. Let w(z) = -3*q(z) + u(z). Determine f, given that w(f) = 0." }, { "from": "gpt", "value": "-3, -1" } ]
[ { "from": "human", "value": "What comes next: 85, 17, -95, -251?" }, { "from": "gpt", "value": "-451" } ]
[ { "from": "human", "value": "Suppose -2*z - 5*k - 3 + 30 = 0, 3*z = 3*k - 12. Let a be (-2)/((z/2)/(-1)). Suppose 117 + 103 = a*x. What is the highest common factor of 11 and x?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Round -0.000000585 to seven decimal places." }, { "from": "gpt", "value": "-6e-07" } ]
[ { "from": "human", "value": "Let z(f) = -87*f - 14. Let w(v) = 434*v + 74. Give -3*w(o) - 16*z(o)." }, { "from": "gpt", "value": "90*o + 2" } ]
[ { "from": "human", "value": "Let v = -244515/7 - -34754. Let y = -177 - v. Which is bigger: y or -1?" }, { "from": "gpt", "value": "y" } ]
[ { "from": "human", "value": "What is the third derivative of 3252*j**3 - 32*j**2 - 47*j wrt j?" }, { "from": "gpt", "value": "19512" } ]
[ { "from": "human", "value": "Solve -2*i = -4*a + 2, 37*a = 3*i + 39*a + 3 for i." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is the nearest to 445/2? (a) 2 (b) -2/3 (c) -15 (d) 1/5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let c = 1.9 - 2. Let u = 22.1 + -22. What is the second biggest value in c, -1, u?" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let f = 120 - 132.6. Let u = -13 - f. Let w = -4 - -8. Which is the second biggest value? (a) w (b) 0 (c) u" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Simplify k**(-16)*k**(-17)*(k**(-5)/k*k)**(6/25) assuming k is positive." }, { "from": "gpt", "value": "k**(-171/5)" } ]
[ { "from": "human", "value": "Let q(z) = 2*z + 3. Let m be q(-4). Let n be 2/(-2 - 8/m). Let k = 0 + n. Sort 5, k, 4 in decreasing order." }, { "from": "gpt", "value": "5, 4, k" } ]
[ { "from": "human", "value": "-36 (base 7) to base 11" }, { "from": "gpt", "value": "-25" } ]
[ { "from": "human", "value": "Let f(a) be the third derivative of a**5/60 + a**4/4 + 2*a**3/3 + a**2. Suppose -r = 2*r + 15. Let d be f(r). What is the smallest value in d, 3, -1/2?" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let j(s) = 4*s**2. Let l be j(1). Solve l*f = -0*f - 20 for f." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What comes next: -56, -156, -326, -602, -1020, -1616, -2426, -3486?" }, { "from": "gpt", "value": "-4832" } ]
[ { "from": "human", "value": "What is the s'th term of -226, -453, -682, -913, -1146?" }, { "from": "gpt", "value": "-s**2 - 224*s - 1" } ]
[ { "from": "human", "value": "Which is the nearest to -5? (a) -2/3 (b) 0.4 (c) -154 (d) 0.5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is -10 (base 3) in base 12?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate the remainder when 435 is divided by 22." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Calculate prob of picking 1 r and 1 u when two letters picked without replacement from rulucbjj." }, { "from": "gpt", "value": "1/14" } ]
[ { "from": "human", "value": "What comes next: -18, -65, -172, -363, -662, -1093?" }, { "from": "gpt", "value": "-1680" } ]
[ { "from": "human", "value": "What is 18 (base 15) in base 10?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Calculate -12.1 - 354." }, { "from": "gpt", "value": "-366.1" } ]
[ { "from": "human", "value": "Simplify (sqrt(4455)*3)/(1*sqrt(45))." }, { "from": "gpt", "value": "9*sqrt(11)" } ]
[ { "from": "human", "value": "What is the third derivative of -f**3*q**3 - 3*f**3*q - 24*f**2*q**2 - 19*q**6 + 2 wrt q?" }, { "from": "gpt", "value": "-6*f**3 - 2280*q**3" } ]
[ { "from": "human", "value": "Let w be (3/(-2))/(3/(-4)). Solve d = 3*d - w*z - 4, 0 = 5*z + 20 for d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let i = 81 + -35. What are the prime factors of i?" }, { "from": "gpt", "value": "2, 23" } ]
[ { "from": "human", "value": "What is 12278 divided by -4?" }, { "from": "gpt", "value": "-6139/2" } ]
[ { "from": "human", "value": "Let o be (-4 - 0)*3/(-6). Solve 0 = -g - 4*g - 2*y - 5, 0 = -o*g + y - 11 for g." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -2*b + 7*b = 5. Let t(k) = 22*k**3 + 3*k + b - 4*k - k**2 + 0. Let x be t(1). Solve 15 = 4*z + z + 5*u, 5*z - u - x = 0 for z." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let l(k) = 2*k**2 - 5*k + 5. Let p be l(3). Solve p = -5*n - 17 for n." }, { "from": "gpt", "value": "-5" } ]