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[ { "from": "human", "value": "Calculate -3*2/(-12)*(-34)/(-17)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the square root of 104541 to the nearest integer?" }, { "from": "gpt", "value": "323" } ]
[ { "from": "human", "value": "Solve 6*i + 2 = 32 for i." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is -21 + 14 - (1 - 11)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Determine f, given that 2/3*f**2 - 2*f + 4/3 = 0." }, { "from": "gpt", "value": "1, 2" } ]
[ { "from": "human", "value": "What are the prime factors of 3812341360?" }, { "from": "gpt", "value": "2, 5, 659, 72313" } ]
[ { "from": "human", "value": "Suppose 0 = -0*s - 5*s + 10. What is the third biggest value in 2/9, s, -5?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the w'th term of 584, 578, 570, 560, 548, 534, 518?" }, { "from": "gpt", "value": "-w**2 - 3*w + 588" } ]
[ { "from": "human", "value": "What is 2 - (-3 + 14 + -4)?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Subtract -0.0658 from -12." }, { "from": "gpt", "value": "-11.9342" } ]
[ { "from": "human", "value": "Calculate -23.5*0.14." }, { "from": "gpt", "value": "-3.29" } ]
[ { "from": "human", "value": "-437 * -1" }, { "from": "gpt", "value": "437" } ]
[ { "from": "human", "value": "0.07*-1471" }, { "from": "gpt", "value": "-102.97" } ]
[ { "from": "human", "value": "Suppose -5*h + 27 = -3. Let x be ((-1)/h)/((-8)/12). Find t such that 0 - x*t + 0*t**2 + 1/4*t**3 = 0." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "What comes next: 136, 278, 420, 562, 704, 846?" }, { "from": "gpt", "value": "988" } ]
[ { "from": "human", "value": "What comes next: -160, -155, -148, -139, -128, -115, -100?" }, { "from": "gpt", "value": "-83" } ]
[ { "from": "human", "value": "Simplify (((-2*sqrt(3) + 2)*-4)**2 - (-2 + (sqrt(24)/sqrt(8)*5)**2))*-2 + -5." }, { "from": "gpt", "value": "-371 + 256*sqrt(3)" } ]
[ { "from": "human", "value": "Suppose t**4/4 + 3*t**3/4 - 2*t**2 - 3*t + 4 = 0. What is t?" }, { "from": "gpt", "value": "-4, -2, 1, 2" } ]
[ { "from": "human", "value": "What is the closest to 1/5 in 0.2, 0, 2?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "Factor 3*o**4 - 18*o**3 - 3*o**2 + 18*o." }, { "from": "gpt", "value": "3*o*(o - 6)*(o - 1)*(o + 1)" } ]
[ { "from": "human", "value": "Let c(r) = 6*r**2 - r - 8. Let m be c(4). Calculate the highest common factor of 609 and m." }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Let f(b) = b - 11. Suppose 2*u = 4*w - 30, 3*w + 2*u - 12 = -0*u. Let p be f(w). What is the nearest to 0.1 in -0.5, -0.4, p?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Is 1450 a multiple of 29?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "((-9)/54)/(-1 - (-4 + 2))" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "Solve -y + 3*y = -10 for y." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Is 78755 a multiple of 294?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -3087 divided by -6?" }, { "from": "gpt", "value": "1029/2" } ]
[ { "from": "human", "value": "Let d be (-2)/9 + (-374)/99. Let n(u) = -u**2 - 4. Let o(b) = 5. Let v(g) = d*o(g) - 5*n(g). Let s(l) = -l. Calculate v(s(p))." }, { "from": "gpt", "value": "5*p**2" } ]
[ { "from": "human", "value": "(350/35)/(6/6)" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the next term in 1044, 2089, 3134, 4179, 5224?" }, { "from": "gpt", "value": "6269" } ]
[ { "from": "human", "value": "What is the common denominator of 9/800 and -97/30?" }, { "from": "gpt", "value": "2400" } ]
[ { "from": "human", "value": "Suppose 1911 + 479 = 10*d. Suppose -7*r - 15 = -d. Is 16 a factor of r?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let t(h) = 6*h**2 - 18*h + 4. Let o(a) = 11*a**2 - 37*a + 9. Let b(g) = 4*o(g) - 9*t(g). Find the second derivative of b(n) wrt n." }, { "from": "gpt", "value": "-20" } ]
[ { "from": "human", "value": "Let w be 5/20 + 326/8. Suppose f - w - 211 = -4*i, 252 = 4*i + 2*f. Is i a multiple of 16?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What comes next: 888, 1772, 2656?" }, { "from": "gpt", "value": "3540" } ]
[ { "from": "human", "value": "What is the product of 12 and -42?" }, { "from": "gpt", "value": "-504" } ]
[ { "from": "human", "value": "Sort -0.5, 1/4, 1/27, 3 in descending order." }, { "from": "gpt", "value": "3, 1/4, 1/27, -0.5" } ]
[ { "from": "human", "value": "-6 (base 10) to base 5" }, { "from": "gpt", "value": "-11" } ]
[ { "from": "human", "value": "Let x = 72 + -36. Let a = x + -35. Suppose -17*v = -16*v - a. Sort -16, 2, v." }, { "from": "gpt", "value": "-16, v, 2" } ]
[ { "from": "human", "value": "What is -12 - -3376?" }, { "from": "gpt", "value": "3364" } ]
[ { "from": "human", "value": "Let s(p) be the third derivative of 0*p**3 + 0*p + 1/12*p**5 - 1/12*p**4 - 3*p**2 + 0. What is the second derivative of s(t) wrt t?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the first derivative of -4*k*q*z**3 - 2*k*q + 17*k*z**3 + 121*q*z**3 + z**2 wrt k?" }, { "from": "gpt", "value": "-4*q*z**3 - 2*q + 17*z**3" } ]
[ { "from": "human", "value": "Which is the nearest to 2/3? (a) 2.31 (b) -2/7 (c) 5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let p be (-1 - -2) + (-3)/(-1). Let y(d) = -5*d + 5*d + 9*d**3. Let t be y(1). Solve t*c = p*c for c." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "-32 (base 6) to base 16" }, { "from": "gpt", "value": "-14" } ]
[ { "from": "human", "value": "What is the third derivative of 7880695*m**6 + 5952229*m**2 wrt m?" }, { "from": "gpt", "value": "945683400*m**3" } ]
[ { "from": "human", "value": "Collect the terms in 161*q**2 + 0 + 0." }, { "from": "gpt", "value": "161*q**2" } ]
[ { "from": "human", "value": "-69*-2" }, { "from": "gpt", "value": "138" } ]
[ { "from": "human", "value": "Let d = 1 + -1. Let j be 0 + (-2)/4*(14 - 12). What is the nearest to j in 2, d, -0.2?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "Calculate the remainder when 268 is divided by 69." }, { "from": "gpt", "value": "61" } ]
[ { "from": "human", "value": "Find the common denominator of -17/360 and -61/80." }, { "from": "gpt", "value": "720" } ]
[ { "from": "human", "value": "What is the g'th term of -112, -116, -120?" }, { "from": "gpt", "value": "-4*g - 108" } ]
[ { "from": "human", "value": "What is 9.121 rounded to 1 dp?" }, { "from": "gpt", "value": "9.1" } ]
[ { "from": "human", "value": "(-9)/(-4) + 152/32" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Suppose 3*i + 2*q - 7 = 0, 2*i - q = -0*q + 7. Let k = i + -1. Factor 1/2*f**k + 0 - 1/2*f." }, { "from": "gpt", "value": "f*(f - 1)/2" } ]
[ { "from": "human", "value": "Let v(y) = 24*y - 2. Let k be v(-3). Is 0 + 5/((-5)/k) a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Express -6 + 7*l**3 + l**3 + 5 - 3*l - 2*l**3 as t + q*l + y*l**2 + i*l**3 and give t." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose 3*o = 7 + 5. Solve 5 = -o*b - 15 for b." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "In base 2, what is 101 - 11001010?" }, { "from": "gpt", "value": "-11000101" } ]
[ { "from": "human", "value": "Find the common denominator of (-996)/(-204) + 8/68 + 6214/(-1220) and -7/366." }, { "from": "gpt", "value": "1830" } ]
[ { "from": "human", "value": "What is the g'th term of 1441, 1439, 1437, 1435, 1433?" }, { "from": "gpt", "value": "1443 - 2*g" } ]
[ { "from": "human", "value": "Calculate -3 divided by -153." }, { "from": "gpt", "value": "1/51" } ]
[ { "from": "human", "value": "Solve -27*x - 137 - 38 = -c, 2*c - 48 - 52 = 3*x - 5 for c." }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "Let h = 6994 - 12091. Let g = -137599/27 - h. Find the common denominator of g and -11/15." }, { "from": "gpt", "value": "135" } ]
[ { "from": "human", "value": "Which is the closest to 0.1? (a) -4/5 (b) -0.4 (c) -2 (d) 2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the next term in 59, 65, 73, 83?" }, { "from": "gpt", "value": "95" } ]
[ { "from": "human", "value": "What is 75819 divided by 3?" }, { "from": "gpt", "value": "25273" } ]
[ { "from": "human", "value": "What are the prime factors of 785?" }, { "from": "gpt", "value": "5, 157" } ]
[ { "from": "human", "value": "Let o(x) = -5*x**2 - 45 + x**2 - 6*x + 5*x**2 + 50. Calculate o(6)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let y = 16 + -8. Let g be (1/2)/(y/32). Solve 0 = g*s - 0*s for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let z(q) = q**3 + q**2 - 4*q + 3. Let x be z(3). Solve -5*i - 3*r + x = -4*r, -r - 7 = -i for i." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Factor 2*j**5 + 8*j**4 - 6*j**3 - 68*j**2 - 104*j - 48." }, { "from": "gpt", "value": "2*(j - 3)*(j + 1)*(j + 2)**3" } ]
[ { "from": "human", "value": "Let u(m) = -m**2 + 9*m - 2. Let f be u(6). Suppose 8*a = 3*a + 505. Let v = a - 61. Calculate the greatest common factor of f and v." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Is 451987 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -7*f - 385 = -1869. Does 32 divide f?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 11 and 836?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "How many years are there in 79.6674 millennia?" }, { "from": "gpt", "value": "79667.4" } ]
[ { "from": "human", "value": "Expand (6*g**3 - 2*g**3 - 3*g**3)*(0 - 3 + 1 + (-5 + 6 + 1)*(4 - 2 - 4) + 1 - 3 - 1)*(4*g - 1 + 1)." }, { "from": "gpt", "value": "-36*g**4" } ]
[ { "from": "human", "value": "Sort 7, 2/5, -2, -1/4, 0." }, { "from": "gpt", "value": "-2, -1/4, 0, 2/5, 7" } ]
[ { "from": "human", "value": "Let o be 6 - (-4 - (2 + -2)). Calculate the greatest common divisor of o and 25." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Find k such that 4/9*k + 0 - 2/9*k**2 - 2/9*k**3 = 0." }, { "from": "gpt", "value": "-2, 0, 1" } ]
[ { "from": "human", "value": "Find p, given that 8*p**4/15 + 712*p**3/15 - 2*p**2/5 - 536*p/15 - 178/15 = 0." }, { "from": "gpt", "value": "-89, -1/2, 1" } ]
[ { "from": "human", "value": "Solve 3*u - 11 = -j, 2*j - 3*u + 6 + 8 = 0 for j." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is -4*((-27)/84 - 8/(-14))?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is -0.000312 rounded to 3 dps?" }, { "from": "gpt", "value": "0.0" } ]
[ { "from": "human", "value": "Sort -6, -3, 2, 4, -2." }, { "from": "gpt", "value": "-6, -3, -2, 2, 4" } ]
[ { "from": "human", "value": "Let o(f) = f**3 + 2*f**2 - 4*f - 2. Let p be o(-3). Calculate the highest common divisor of p and 3." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 55840405 to the power of 1/10, to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "How many micrograms are there in 11/4 of a milligram?" }, { "from": "gpt", "value": "2750" } ]
[ { "from": "human", "value": "Let l = 47 + -8. Calculate the remainder when 115 is divided by l." }, { "from": "gpt", "value": "37" } ]
[ { "from": "human", "value": "Let b be (5 - 0) + -1 + 0. Differentiate -1 + b*c + 0 - c - 2 with respect to c." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Rearrange 2*x**4 + 0*x**3 + 3*x - 3*x**4 - 12 + x**3 + 15 to z*x**3 + b*x**4 + g + u*x**2 + d*x and give d." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate (((-20)/70)/2)/((-1)/(-7))." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "3 + 3 + -3 + (-5 - -1)" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose z - 6 = -0. Calculate the remainder when 22 is divided by z." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "1.999 times -5" }, { "from": "gpt", "value": "-9.995" } ]
[ { "from": "human", "value": "-0.0188 * 1377" }, { "from": "gpt", "value": "-25.8876" } ]
[ { "from": "human", "value": "Let x(i) = -i**2 - i + 10. Let b be x(-5). Let f be ((-2)/(-5))/((-2)/b). Suppose -6/7*t**f - 2/7*t**3 - 6/7*t - 2/7 = 0. Calculate t." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 4912 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the n'th term of 533, 523, 503, 467, 409?" }, { "from": "gpt", "value": "-n**3 + n**2 - 6*n + 539" } ]