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[ { "from": "human", "value": "What is the q'th term of 34, 12, -32, -104, -210, -356?" }, { "from": "gpt", "value": "-q**3 - 5*q**2 + 40" } ]
[ { "from": "human", "value": "Suppose 0 = 2*n + j + 7, -n - 4*j = n + 22. Let h = n + 1. Let c = 68 - 63. Solve 4*l + c + 11 = h for l." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose 0 = 5*y, -3*d + 6*d - 3*y = 63. What is the remainder when d is divided by 8?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is -1 + (4 - 4 - (1 - -2))?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "-0.4767 - 1" }, { "from": "gpt", "value": "-1.4767" } ]
[ { "from": "human", "value": "Let c(m) be the first derivative of m**6/4 - 3*m**4/4 + 3*m**2/4 - 17. Factor c(d)." }, { "from": "gpt", "value": "3*d*(d - 1)**2*(d + 1)**2/2" } ]
[ { "from": "human", "value": "Suppose -161 = t - 0*t + 2*j, -4*j - 487 = 3*t. Let q be ((-6)/(-4))/(t/(-44)). Factor 0 - q*d**3 + 0*d**2 + 0*d + 2/5*d**4." }, { "from": "gpt", "value": "2*d**3*(d - 1)/5" } ]
[ { "from": "human", "value": "List the prime factors of 1114." }, { "from": "gpt", "value": "2, 557" } ]
[ { "from": "human", "value": "Put -3, -1, 1888 in descending order." }, { "from": "gpt", "value": "1888, -1, -3" } ]
[ { "from": "human", "value": "What are the prime factors of 40990886?" }, { "from": "gpt", "value": "2, 1471, 13933" } ]
[ { "from": "human", "value": "Solve -4*j + 8 = 4*b, 2*b = -3*j + b + 10 for j." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Is -23 >= -65/3?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 2*a - 43 - 23 = 0. Let t = a + -24. Suppose 22 = 2*d + v, -t*v = 3*d - 5*v - 33. What is the highest common divisor of d and 121?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let m = 1/5 + -7/10. Suppose 0 = -5*l - 7*g + 2*g - 25, 5*g - 15 = 5*l. Let n be (-7)/5 - l/2. What is the nearest to m in 4, -1/4, n?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "What is the g'th term of -195, -388, -571, -738, -883, -1000, -1083?" }, { "from": "gpt", "value": "g**3 - g**2 - 197*g + 2" } ]
[ { "from": "human", "value": "What is the hundreds digit of 793?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let f(d) = -1558*d. Let b(h) = 8*h. Calculate b(f(y))." }, { "from": "gpt", "value": "-12464*y" } ]
[ { "from": "human", "value": "Convert 21001 (base 3) to base 13." }, { "from": "gpt", "value": "118" } ]
[ { "from": "human", "value": "Let w be (-7)/(84/(-8))*3. Let r(g) = 6 - 3 - w + 5*g. Let i be (-10)/14 + 6/(-21). Calculate r(i)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "How many minutes are there between 6:28 PM and 9:59 PM?" }, { "from": "gpt", "value": "211" } ]
[ { "from": "human", "value": "Let j be 68/14 - 2/(-14). Suppose -56 = -4*q - 0*q. Solve -5*n = 4*l - 31, q = j*l - 3*n + n for l." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Convert -4 (base 12) to base 16." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let h be -5 + 3 + 5*2. Let y be ((0 - 1) + 0)*-2. Solve 0 = 4*r + g - h, 0 = -r - 0*r - g + y for r." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Find the second derivative of -116*c**4 - 3*c**3 + 4*c + 7." }, { "from": "gpt", "value": "-1392*c**2 - 18*c" } ]
[ { "from": "human", "value": "Simplify (sqrt(17) - (sqrt(17) - -4*sqrt(1088))**2) + 1*sqrt(833) + sqrt(833)." }, { "from": "gpt", "value": "-18513 + 15*sqrt(17)" } ]
[ { "from": "human", "value": "Simplify ((sqrt(128) + 4*sqrt(128))**2 - sqrt(128))*5*2." }, { "from": "gpt", "value": "32000 - 80*sqrt(2)" } ]
[ { "from": "human", "value": "What is the f'th term of 138, 278, 420, 564?" }, { "from": "gpt", "value": "f**2 + 137*f" } ]
[ { "from": "human", "value": "What is next in -222, -216, -198, -162, -102, -12?" }, { "from": "gpt", "value": "114" } ]
[ { "from": "human", "value": "Solve 20*c = 9*c + 22 for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let q(k) = k**3 + 6*k**2 + 6*k + 7. Let r be q(-5). Let v = 108 + -9. Suppose v = o + r*o. What is the remainder when o is divided by 17?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Find the common denominator of 21/80 and (-6)/4*2 + 80595/23760." }, { "from": "gpt", "value": "880" } ]
[ { "from": "human", "value": "(-8)/(-10)*-7*(-3)/42" }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "Let k(o) be the first derivative of -4*o**5/5 - o**4 + 4*o**3 + 10*o**2 + 8*o - 17. Factor k(x)." }, { "from": "gpt", "value": "-4*(x - 2)*(x + 1)**3" } ]
[ { "from": "human", "value": "Solve 155 + 115 = -30*w for w." }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "(-4)/(-4)*-1*-2" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let a(k) = 10*k**3. Determine a(-1)." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "What is next in 5, 28, 79, 170, 313?" }, { "from": "gpt", "value": "520" } ]
[ { "from": "human", "value": "What is 359 minutes before 3:30 PM?" }, { "from": "gpt", "value": "9:31 AM" } ]
[ { "from": "human", "value": "-952 divided by -238" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let h(f) = -f**3 + 5*f**2 - f - 3. Let s be h(2). Suppose -5*g = 4*b - s, -6*b - 10 = -b. Solve 1 = -g*i - 4*w, -3*i + 5*w + 7 = -i for i." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 16, what is 5 + 8c76?" }, { "from": "gpt", "value": "8c7b" } ]
[ { "from": "human", "value": "Let b(f) be the first derivative of -4*f**5/5 - f**4/4 + 4*f**3/3 + f**2/2 - 3. Factor b(w)." }, { "from": "gpt", "value": "-w*(w - 1)*(w + 1)*(4*w + 1)" } ]
[ { "from": "human", "value": "Is 2/(-9)*-3 - 3127/(-3) prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the c'th term of -103, -193, -355, -595, -919, -1333?" }, { "from": "gpt", "value": "-c**3 - 30*c**2 + 7*c - 79" } ]
[ { "from": "human", "value": "Differentiate 3*l**3*v - 59*l**3 + 15*v - 25 with respect to l." }, { "from": "gpt", "value": "9*l**2*v - 177*l**2" } ]
[ { "from": "human", "value": "Let r(m) = m**3 + 10*m**2 + 7*m - 7. Let g be r(-9). Let c = 1580 - 31591/20. What is the common denominator of (-34)/g*5/4 and c?" }, { "from": "gpt", "value": "220" } ]
[ { "from": "human", "value": "Let y(i) = -8*i - 5. Let q = 2 + -7. Let p be y(q). Suppose 4*r - p = -r. Solve 5*h - 3*v + r = 25, -3*v - 3 = 0 for h." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let g be 2900/(-6) - (-2)/(-3). Calculate the common denominator of -47/4 and 3 + 3 + g/24." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "In base 15, what is -9967 + 0?" }, { "from": "gpt", "value": "-9967" } ]
[ { "from": "human", "value": "How many micrometers are there in five quarters of a millimeter?" }, { "from": "gpt", "value": "1250" } ]
[ { "from": "human", "value": "Evaluate 42/(-110) - (0 - 8/44)." }, { "from": "gpt", "value": "-1/5" } ]
[ { "from": "human", "value": "Product of -4.1 and 4.9." }, { "from": "gpt", "value": "-20.09" } ]
[ { "from": "human", "value": "Solve 22*j - 56*j = 0 for j." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "(-4)/2*1/(-12)*-1" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "20 + -4 + (-4 - 4)" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Calculate 3874 divided by -298." }, { "from": "gpt", "value": "-13" } ]
[ { "from": "human", "value": "(-5*5/(-75))/(3/(-3))" }, { "from": "gpt", "value": "-1/3" } ]
[ { "from": "human", "value": "Let q(d) = d**3 + d**2 - 1. Let a be q(1). Let l(b) = b**3. Let w(u) = -2*u**3 - 2. Let r(m) = a*w(m) - 2*l(m). Find the first derivative of r(x) wrt x." }, { "from": "gpt", "value": "-12*x**2" } ]
[ { "from": "human", "value": "Which is smaller: 1/5 or 24.38?" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "Solve 108*o**4 - 1548*o**3 - 2949*o**2 + 1110*o - 96 = 0." }, { "from": "gpt", "value": "-2, 1/6, 16" } ]
[ { "from": "human", "value": "Calculate the common denominator of 121/1854 and -27/515." }, { "from": "gpt", "value": "9270" } ]
[ { "from": "human", "value": "Suppose -5 = -4*w + 11. Suppose 3*y + 13 = -2*c, -3 = w*c + 2*y + 3. Differentiate 4*i**2 - 2 - c - 4*i**2 + i**2 with respect to i." }, { "from": "gpt", "value": "2*i" } ]
[ { "from": "human", "value": "Suppose 2*y**3/7 - 32*y**2/7 - 72*y/7 = 0. What is y?" }, { "from": "gpt", "value": "-2, 0, 18" } ]
[ { "from": "human", "value": "What is 570 minutes after 9:34 PM?" }, { "from": "gpt", "value": "7:04 AM" } ]
[ { "from": "human", "value": "What is the remainder when 1223 is divided by 18?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Calculate -480 divided by -6." }, { "from": "gpt", "value": "80" } ]
[ { "from": "human", "value": "Suppose 2*k + k = 27. Let i be (k/15)/((-2)/(-10)). Solve i = d + 6 for d." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is 126241 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "(-48)/(-10) - (19/5 + -4)" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let d = 4/9 - 29/9. What is the common denominator of d and -10/21?" }, { "from": "gpt", "value": "63" } ]
[ { "from": "human", "value": "Solve 4*n - 28 = -4*j, -n + 5*j - 8 + 3 = 0 for n." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the value of -32 - -25 - (0 - 5)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let q = 35 + -32. Let v = -2.04 + 0.04. Which is the third smallest value? (a) 1 (b) q (c) v" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let y(t) = -4*t**3 + t. Let v be y(-1). Suppose -4*a + 20 = -0*a + v*s, -16 = 2*a - 5*s. Let c = 11 - a. List the prime factors of c." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the closest to -0.1 in 5, -0.003, 0.2, 3?" }, { "from": "gpt", "value": "-0.003" } ]
[ { "from": "human", "value": "What is the i'th term of 17, 24, 41, 74, 129, 212, 329?" }, { "from": "gpt", "value": "i**3 - i**2 + 3*i + 14" } ]
[ { "from": "human", "value": "Let f(m) = -2*m. Suppose 0 = 2*v + 2*l - 14 - 8, -2*v + 2*l + 26 = 0. Let j(t) = v*t + 3 - 3. What is j(f(a))?" }, { "from": "gpt", "value": "-24*a" } ]
[ { "from": "human", "value": "Is 24943 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Multiply -1368 and 8." }, { "from": "gpt", "value": "-10944" } ]
[ { "from": "human", "value": "Rearrange 57*x**2 + 42*x - 42*x to w*x**2 + a + s*x and give w." }, { "from": "gpt", "value": "57" } ]
[ { "from": "human", "value": "Let d(u) be the first derivative of -u**7/210 + u**6/120 + 4*u**3/3 - 4. Let x(n) be the third derivative of d(n). What is the third derivative of x(i) wrt i?" }, { "from": "gpt", "value": "-24" } ]
[ { "from": "human", "value": "Simplify (sqrt(98) + 1)**2 + 4 + sqrt(2) + 0." }, { "from": "gpt", "value": "15*sqrt(2) + 103" } ]
[ { "from": "human", "value": "Let s be (-23)/(-4) + (-1)/(-4). Let m = s - 3. Let d = m - -5. What are the prime factors of d?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 77860436*w**3 - 2604996*w**2 + 29052*w - 108 = 0." }, { "from": "gpt", "value": "3/269" } ]
[ { "from": "human", "value": "Let d(b) = -3*b**2 - 5*b - 2. Let l(g) = 3*g**2 + 7*g + 3. Calculate -4*d(w) - 3*l(w)." }, { "from": "gpt", "value": "3*w**2 - w - 1" } ]
[ { "from": "human", "value": "What is the cube root of 51875 to the nearest integer?" }, { "from": "gpt", "value": "37" } ]
[ { "from": "human", "value": "0*(1 - 6/12)" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let l be (5/2 - 3)*-4. What is the lowest common multiple of ((-12)/(-14))/(l/14) and 4?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Calculate the remainder when 484 is divided by 64." }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Let h be (-4)/16 + 49/4. Let w be h/5 + (-8)/20. What is the third derivative of 14*c**3 + 2*c**w - c**4 - 14*c**3 wrt c?" }, { "from": "gpt", "value": "-24*c" } ]
[ { "from": "human", "value": "Suppose 3*t = 3*o + 3, -4*o - 11 = -5*o - 3*t. Suppose 15 - 3 = -o*g. What are the prime factors of (-2)/g + (-34)/(-6)?" }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Factor 1/5*g**5 + 0 + 7/5*g**4 + 0*g + 14/5*g**3 + 8/5*g**2." }, { "from": "gpt", "value": "g**2*(g + 1)*(g + 2)*(g + 4)/5" } ]
[ { "from": "human", "value": "Solve -3*s - 9 = -5*m - 4*s, m = s - 3 for m." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the eighth root of 2234 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the remainder when 48 is divided by 25?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "What is the value of (-300)/(-500)*(24/(-27))/4?" }, { "from": "gpt", "value": "-2/15" } ]
[ { "from": "human", "value": "Let b(k) = 3*k**2 + k + 1. Let w be b(-1). Let p be 7/w - 3/9. Solve p = 5*s - 13 for s." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is 1475 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 2*b**2 - 4*b**2 + 6*b**3 + 4*b**5 - 2*b**5 - 6*b**4 = 0 for b." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "In base 9, what is 24 + 52?" }, { "from": "gpt", "value": "76" } ]