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math

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[ { "from": "human", "value": "Factor -p**3 - p**2 + 6*p." }, { "from": "gpt", "value": "-p*(p - 2)*(p + 3)" } ]
[ { "from": "human", "value": "-122 (base 6) to base 3" }, { "from": "gpt", "value": "-1212" } ]
[ { "from": "human", "value": "Divide -1216 by -5." }, { "from": "gpt", "value": "1216/5" } ]
[ { "from": "human", "value": "What is the tenth root of 7916 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose 2*z - 2 - 12 = -5*l, 5*l = 2*z + 6. Suppose -u = -3*a + l, -2*a + u - 1 = -2*u. Let b be -5*(-4)/5*2*a. Solve f - b = -3 for f." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Expand -8 - 12*j + 8 + (-j - 2*j - j)*(2 - 5 + 2)*(-1 + 3 - 1)." }, { "from": "gpt", "value": "-8*j" } ]
[ { "from": "human", "value": "Find c, given that -c**4/2 + 7*c**3/2 - 8*c**2 + 6*c = 0." }, { "from": "gpt", "value": "0, 2, 3" } ]
[ { "from": "human", "value": "Subtract 0.3 from 412610." }, { "from": "gpt", "value": "412609.7" } ]
[ { "from": "human", "value": "Put -941, 3, -3/4, -4, -5 in descending order." }, { "from": "gpt", "value": "3, -3/4, -4, -5, -941" } ]
[ { "from": "human", "value": "Let t = -732/2611 + -2/373. Which is smaller: -56/5 or t?" }, { "from": "gpt", "value": "-56/5" } ]
[ { "from": "human", "value": "Let h(w) = -10*w**2 + w - 1. Let n be h(1). Let p = -11 + 8. Let g = p - n. Calculate the highest common divisor of g and 77." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the hundreds digit of 19002?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 2*f**5/5 + 14*f**4/5 + 28*f**3/5 + 16*f**2/5 = 0." }, { "from": "gpt", "value": "-4, -2, -1, 0" } ]
[ { "from": "human", "value": "Sort -5, 4, 34 in decreasing order." }, { "from": "gpt", "value": "34, 4, -5" } ]
[ { "from": "human", "value": "Let g(w) = -78*w**2 - 2*w + 2. Let z be g(-2). Calculate the common denominator of 39/164 and 1766/z + 6/(-51)." }, { "from": "gpt", "value": "1476" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 774 and 14." }, { "from": "gpt", "value": "5418" } ]
[ { "from": "human", "value": "How many minutes are there between 7:41 PM and 2:39 AM?" }, { "from": "gpt", "value": "418" } ]
[ { "from": "human", "value": "Let w(j) = -2*j**2 + 2*j + 14. Let k be w(-18). Let u = -419 - k. Is u prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate (11 + 5 - 26) + (7 - 1)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Put -2/11, 4, 2/3, -5 in descending order." }, { "from": "gpt", "value": "4, 2/3, -2/11, -5" } ]
[ { "from": "human", "value": "What is 677 minutes after 3:44 AM?" }, { "from": "gpt", "value": "3:01 PM" } ]
[ { "from": "human", "value": "What is the u'th term of 561, 1133, 1713, 2301, 2897, 3501, 4113?" }, { "from": "gpt", "value": "4*u**2 + 560*u - 3" } ]
[ { "from": "human", "value": "Work out 278715.1 - -0.1." }, { "from": "gpt", "value": "278715.2" } ]
[ { "from": "human", "value": "Convert 0.2962473um to centimeters." }, { "from": "gpt", "value": "0.00002962473" } ]
[ { "from": "human", "value": "What is the biggest value in 390, 0.5, 1?" }, { "from": "gpt", "value": "390" } ]
[ { "from": "human", "value": "Put 2/13, -0.4, -92, 1 in decreasing order." }, { "from": "gpt", "value": "1, 2/13, -0.4, -92" } ]
[ { "from": "human", "value": "Let h = 0 + 2. Suppose -c - 2*c = -3*s - 6, -4*c - h*s + 32 = 0. List the prime factors of c." }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Let a(y) = -3*y - 7. Let z be a(-3). Solve z*l = 5*l + 3 for l." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is next in -163, -1322, -4473, -10612, -20735, -35838, -56917?" }, { "from": "gpt", "value": "-84968" } ]
[ { "from": "human", "value": "Calculate (-12 - 10 - 0) + 12." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Simplify sqrt(153)*-5 + 3." }, { "from": "gpt", "value": "3 - 15*sqrt(17)" } ]
[ { "from": "human", "value": "Let a = -3.2 - -3. Let v = a - 0. Let x be (-2)/(-7) + 1 + 20/(-21). Is x less than v?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 3 - 9.6." }, { "from": "gpt", "value": "-6.6" } ]
[ { "from": "human", "value": "Simplify sqrt(637)*-1 + 0." }, { "from": "gpt", "value": "-7*sqrt(13)" } ]
[ { "from": "human", "value": "Suppose -t = -2*y - 1, 5*t - 14 - 7 = 2*y. Let f(c) = c**2 - 9*c + 10. Let r be f(8). Solve 4*b - r*b = -y for b." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 18.885 rounded to the nearest 10?" }, { "from": "gpt", "value": "20.0" } ]
[ { "from": "human", "value": "(-10)/(-12)*(-24)/(-40)" }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "Are 33 and 31 nonequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Find the common denominator of 67/252 and -1/630." }, { "from": "gpt", "value": "1260" } ]
[ { "from": "human", "value": "What is the product of 157 and -97?" }, { "from": "gpt", "value": "-15229" } ]
[ { "from": "human", "value": "1 - (2 + -2 + -3)" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Find the second derivative of 34*b*c**4 + 4*b*c**3 - 4*b*c + 2*c**2 - 8*c wrt c." }, { "from": "gpt", "value": "408*b*c**2 + 24*b*c + 4" } ]
[ { "from": "human", "value": "-0.439 * -5" }, { "from": "gpt", "value": "2.195" } ]
[ { "from": "human", "value": "Suppose 2*w + 313 = 5*w - 4*h, -h = w - 95. Suppose y = -z + w, -3*y - 216 = 4*z - 612. Suppose -z + 0 = -3*r. Is r prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 7 + -9 + 8 + -2." }, { "from": "gpt", "value": "4" } ]
[ { "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": "Calculate the lowest common multiple of 1530 and 1110." }, { "from": "gpt", "value": "56610" } ]
[ { "from": "human", "value": "Let p(w) = w**3 - 13*w**2 - 13*w - 11. Let i be p(14). Let v = 16 - 8. Solve -4 - v = -i*b for b." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Simplify (k**0)**26/(k*k**(-3/8)*k**(2/25)) assuming k is positive." }, { "from": "gpt", "value": "k**(-141/200)" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 960 and 30." }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "What is the value of 13 + -7 - 6 - -3?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is the closest to 2/11? (a) 0.6 (b) 5 (c) -6 (d) 8" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let s be 0/((-1)/((-1)/2)). Suppose 0*o + 2*o = s. Is 0 bigger than o?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "12/7 + ((-36)/(-21))/6" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Work out -72 * -2." }, { "from": "gpt", "value": "144" } ]
[ { "from": "human", "value": "Let x be (-6)/3 + (-100)/(-45). Let o = -209 - -108. Let u = o + 101.3. Which is the third smallest value? (a) u (b) x (c) -4 (d) 2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Calculate 2*((-21)/30 + 2) + -2." }, { "from": "gpt", "value": "3/5" } ]
[ { "from": "human", "value": "Find u, given that 4*u**3 - 12*u**2 - 4*u + 12 = 0." }, { "from": "gpt", "value": "-1, 1, 3" } ]
[ { "from": "human", "value": "Let w = -19.926 - -20. Let u = w + 2.926. Which is the smallest value? (a) -3/17 (b) 0 (c) u" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let k = 161.93 + -160. Let h = 0.07 + k. Which is the second biggest value? (a) 3 (b) -3 (c) h" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Put 4, -173, -5, 1 in decreasing order." }, { "from": "gpt", "value": "4, 1, -5, -173" } ]
[ { "from": "human", "value": "Let t = -1.2 - -0.2. Let j = -1 - t. Let m be (0 - 3 - -4)/3. Which is the biggest value? (a) 1/4 (b) m (c) j" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "How many minutes are there between 12:55 AM and 12:41 PM?" }, { "from": "gpt", "value": "706" } ]
[ { "from": "human", "value": "What is 2/(-6)*(-465)/(-62)?" }, { "from": "gpt", "value": "-5/2" } ]
[ { "from": "human", "value": "3 - -2 - (-3 + 1 + 3)" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Are 100 and 102 nonequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-4 + (22 + -14 - 6)" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let y(h) = -h**2 + 7*h + 3. Let i be y(7). Let -i*u - 2*u**2 + 2*u + 4*u**2 - 3*u**3 + 2*u**3 = 0. What is u?" }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Suppose 0 = 2*k - 0*k. Suppose k = o - 0 - 6. Calculate the remainder when 9/o*16/6 is divided by 2." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -4*i + 20*k - 18 = 15*k, -3*k + 6 = -4*i for i." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is smaller: 56 or 51?" }, { "from": "gpt", "value": "51" } ]
[ { "from": "human", "value": "Which is the nearest to 1? (a) 1/4 (b) -6 (c) -0.01 (d) 0.5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is the common denominator of -83/6 and -31/118?" }, { "from": "gpt", "value": "354" } ]
[ { "from": "human", "value": "In base 11, what is -5 + -172?" }, { "from": "gpt", "value": "-177" } ]
[ { "from": "human", "value": "Suppose -198*z + 208*z - 140 = 0. Sort z, 1, -4, -1, 8 in decreasing order." }, { "from": "gpt", "value": "z, 8, 1, -1, -4" } ]
[ { "from": "human", "value": "Solve -34*d - 58 = -63*d for d." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let i(a) = -3*a + a**2 - 3*a**2 - a**2 - 1 + a**3. Let x be i(4). Solve 8*s + x*b - 14 = 4*s, 4*s + 2 = 5*b for s." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let s(a) = a**2 + 6*a + 4. Let g be s(-6). Suppose 26 = g*j + 5*z, -5*j - 3*z + 16 = -5*z. What is the highest common divisor of 4 and j?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 3*l + 7 + 17 = 4*c, 3*c - l = 13. Suppose 1 + 1 = -2*p. What is the closest to p in 0.2, 0, c?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is 335 at most as big as 0?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the closest to 1/2 in -2/19, -2/25, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let c = 10 + -2. Suppose 4*h = 3*h. Let v(z) = z + 1. Let y be v(4). Solve c*x - y*x = h for x." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let m = 0.16 + -1.56. Let j = 0.9 + m. Let p be (2 - 3)*(-1 + 1). Which is the nearest to p? (a) -0.4 (b) j (c) 0.1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let d(v) = -v**2 - v + 2. Let z be d(-3). Let n = -445 - -5787/13. Put n, 3, z in ascending order." }, { "from": "gpt", "value": "z, n, 3" } ]
[ { "from": "human", "value": "Let j = 43 - 17. Suppose 5*f = 15 + 5. Suppose -20 = -f*u + 36. Calculate the remainder when j is divided by u." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is 107 minutes after 9:35 PM?" }, { "from": "gpt", "value": "11:22 PM" } ]
[ { "from": "human", "value": "Sort -99.6, -5, -1/10 in increasing order." }, { "from": "gpt", "value": "-99.6, -5, -1/10" } ]
[ { "from": "human", "value": "Suppose -8 = -0*n - 2*n. Suppose 0*m + n*m + 5*p = 8, 3*m - 6 = -3*p. Factor -1/2 - 1/2*w**m - w." }, { "from": "gpt", "value": "-(w + 1)**2/2" } ]
[ { "from": "human", "value": "What is the tens digit of 684?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Suppose -56 = -4*j - 6*j - 6. Suppose 2*i + 6 = -2*h, -6*h + 5*h = -i - 3. Put -3, 38, j, h in ascending order." }, { "from": "gpt", "value": "-3, h, j, 38" } ]
[ { "from": "human", "value": "31/(9765/(-144)) + 2/(-14)" }, { "from": "gpt", "value": "-3/5" } ]
[ { "from": "human", "value": "What is 6 divided by -78?" }, { "from": "gpt", "value": "-1/13" } ]
[ { "from": "human", "value": "Let f be 2/(-3 + (-114)/(-42)). Sort f, -2, 3 in ascending order." }, { "from": "gpt", "value": "f, -2, 3" } ]
[ { "from": "human", "value": "Let n be 226/8 - (-1)/(-4). Suppose -n = w - 172. Suppose 0*s = 3*s - w. What is the greatest common divisor of 12 and s?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Let p(k) = -k**2 - 27*k + 18. Give p(-28)." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Sort -227, 3, -1, -5, 2 in ascending order." }, { "from": "gpt", "value": "-227, -5, -1, 2, 3" } ]
[ { "from": "human", "value": "Put together -0.03 and -3.44." }, { "from": "gpt", "value": "-3.47" } ]
[ { "from": "human", "value": "Are -52 and -51 nonequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 62765 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Let a(k) = 2*k**3 - k**2 + 2*k - 1. Let g(t) = -14*t**3 + 17*t + 20. Let d(j) = 5*j**3 - 6*j - 7. Let y(q) = 17*d(q) + 6*g(q). Give a(z) + y(z)." }, { "from": "gpt", "value": "3*z**3 - z**2 + 2*z" } ]