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[ { "from": "human", "value": "Find the common denominator of 63/128 and -49/8." }, { "from": "gpt", "value": "128" } ]
[ { "from": "human", "value": "Let s = -7961/4 + 1990. Which is the nearest to 0.1? (a) 2 (b) 0.27 (c) s (d) -1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Find the second derivative of -6073*d**2*m**2 - 31*d*m**2 + 8*d - 2*m wrt d." }, { "from": "gpt", "value": "-12146*m**2" } ]
[ { "from": "human", "value": "Simplify 3 + -2*sqrt(48) + 5 + (sqrt(288) - (2*sqrt(288) + sqrt(288)))/sqrt(6)." }, { "from": "gpt", "value": "8 - 16*sqrt(3)" } ]
[ { "from": "human", "value": "Suppose 0 = -k - 6*t + 3*t + 13, -t + 13 = k. Suppose -n = k*n - 1974. Is n prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let a(n) = -4*n**2 - 5*n + 5. Let b(c) = 4*c**2 + 4*c - 4. Let r(o) = -4*a(o) - 5*b(o). Let s(g) = -g. Calculate s(r(t))." }, { "from": "gpt", "value": "4*t**2" } ]
[ { "from": "human", "value": "Let y(x) = -x + 0 + 1 + 2*x. Let t be 22/8 + (-4)/(-16). Let o be y(t). Solve -o*g + 2 = -2 for g." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Convert 9732.251 centuries to decades." }, { "from": "gpt", "value": "97322.51" } ]
[ { "from": "human", "value": "Let d be (12/21)/((-6)/(-21)). Suppose -5*w + 703 - 248 = -4*m, 5*m + 199 = d*w. Is w a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor o**3/4 - 13*o**2 + 165*o." }, { "from": "gpt", "value": "o*(o - 30)*(o - 22)/4" } ]
[ { "from": "human", "value": "What is ((-4)/(-6))/((-200)/75)?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "In base 9, what is 5 + 362?" }, { "from": "gpt", "value": "367" } ]
[ { "from": "human", "value": "(-4 - (-8 + 0))/(-2)" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate the remainder when 5889 is divided by 2941." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the value of -1 + 3 + -6 + -6 - -2?" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Simplify -1*sqrt(468)*-4 + 4." }, { "from": "gpt", "value": "4 + 24*sqrt(13)" } ]
[ { "from": "human", "value": "Simplify -3 + sqrt(2) + 1 + (sqrt(2) - (sqrt(36)/sqrt(2))/sqrt(9))." }, { "from": "gpt", "value": "-2 + sqrt(2)" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 4940 and 40." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Sort 5/2, 11, 5/3, -1/11 in descending order." }, { "from": "gpt", "value": "11, 5/2, 5/3, -1/11" } ]
[ { "from": "human", "value": "What is 856.3438 centimeters in kilometers?" }, { "from": "gpt", "value": "0.008563438" } ]
[ { "from": "human", "value": "What is the units digit of 48496?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let n(k) be the third derivative of 15*k**5/4 + 5*k**4/2 + 2*k**3/3 + 8*k**2. Determine v so that n(v) = 0." }, { "from": "gpt", "value": "-2/15" } ]
[ { "from": "human", "value": "Simplify -3*sqrt(128)*3." }, { "from": "gpt", "value": "-72*sqrt(2)" } ]
[ { "from": "human", "value": "Let y = -2.6 - -3.9. Let v = -1.7 + y. Which is the third biggest value? (a) 1/2 (b) -2/15 (c) v" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let m(d) = -2 + 7 + d**2 + 0 - 5*d. Let s be m(6). Suppose -22 = -6*v + 4*v. Calculate the highest common factor of v and s." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let f be 3*(-5)/((-45)/6). Calculate the greatest common divisor of 7 and f." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "5 - (0 - ((4 - 13) + 5))" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 0 = -5*t + 3*r + 1, -4*r + 13 + 1 = t for t." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 16, what is 4 + -3?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Factor -g**4/4 + 11*g**3/4 + 10*g**2 + 7*g." }, { "from": "gpt", "value": "-g*(g - 14)*(g + 1)*(g + 2)/4" } ]
[ { "from": "human", "value": "Is 22343 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "In base 9, what is -4 - -2052?" }, { "from": "gpt", "value": "2047" } ]
[ { "from": "human", "value": "Let t(g) = -g**2 - g + 451. Let w = -40 + 40. Is t(w) a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let p = 94 + -92. Let q(v) be the first derivative of -2*v + 1/2*v**4 + 0*v**3 + 0*v**p + 2. Find the first derivative of q(m) wrt m." }, { "from": "gpt", "value": "6*m**2" } ]
[ { "from": "human", "value": "Let m = 0 - -2. Let g(d) = -2 - 2 + 2*d**m + 2*d + 6. Is g(-5) a multiple of 21?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let b = 3 - 0. What is the units digit of b?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "0.3 * 85" }, { "from": "gpt", "value": "25.5" } ]
[ { "from": "human", "value": "What is ((-8)/(-10))/((-11)/(-55))?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Are -2/3 and 1/102 equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 35*m - 284 = -109 for m." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let h(i) be the second derivative of -i**5/5 + i**4/6 + i**3/3 + i**2/2 - 2*i. Let w be h(-1). Solve 2*b = -4*r - 10, -r + 5*r + 45 = w*b for b." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let y be 2/(-6)*(-3)/2. Let o = -5.7 + 6. What is the second smallest value in -6, o, y?" }, { "from": "gpt", "value": "o" } ]
[ { "from": "human", "value": "What is the cube root of 8191 to the nearest integer?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Suppose 0 = -9*d + 24 + 12. Solve d*b - 8 = 0, 0*r = 3*r - 3*b for r." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 17*q = 16*q - 1 for q." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the value of ((-57)/38)/((-3)/2)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Work out -0.03191 + -5." }, { "from": "gpt", "value": "-5.03191" } ]
[ { "from": "human", "value": "Four letters picked without replacement from {i: 3, f: 7, s: 2, u: 5}. Give prob of sequence usfu." }, { "from": "gpt", "value": "1/204" } ]
[ { "from": "human", "value": "Suppose 5*y + t - 15 = 0, 5*t = 3*y - 5*y + 6. Solve y*v + 9 - 3 = 0 for v." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let j(d) be the third derivative of d**7/420 + d**6/80 + d**5/40 + d**4/24 - 2*d**2. Let l(x) be the second derivative of j(x). Factor l(q)." }, { "from": "gpt", "value": "3*(q + 1)*(2*q + 1)" } ]
[ { "from": "human", "value": "Let r = -20 - -20. Sort r, -1/5, -2/11 in increasing order." }, { "from": "gpt", "value": "-1/5, -2/11, r" } ]
[ { "from": "human", "value": "Calculate the remainder when 21 is divided by 6." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the product of -3175 and -0.4?" }, { "from": "gpt", "value": "1270" } ]
[ { "from": "human", "value": "What is the biggest value in -4/5, 317.5, -2?" }, { "from": "gpt", "value": "317.5" } ]
[ { "from": "human", "value": "In base 8, what is -6 + -3027?" }, { "from": "gpt", "value": "-3035" } ]
[ { "from": "human", "value": "What is -130 + 41?" }, { "from": "gpt", "value": "-89" } ]
[ { "from": "human", "value": "Let f = 56/85 + -18/17. Which is the nearest to 5/7? (a) 2 (b) f (c) -3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the biggest value in 2/17, 0.06, 1/3, 0.4, 2/13, -0.042, -5?" }, { "from": "gpt", "value": "0.4" } ]
[ { "from": "human", "value": "Solve 3 = 3*j + 9, -2*j - 16 = 3*f for f." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose -5*a = -0*f + 3*f - 222, 2*a = 2*f + 92. Let i = -2/525 + 234/175. What is the common denominator of i and 6/(-9) - (-318)/a?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "How many micrometers are there in five quarters of a millimeter?" }, { "from": "gpt", "value": "1250" } ]
[ { "from": "human", "value": "Let q be 2 + -2 + (1 - 3). Let h be -2 + 0 + (1 - q). Let p(f) = -2*f**3 - 2*f**2 + f. Let t(z) = -6 - z**2 - 9 + z - z**3 + 16. Give h*p(m) - t(m)." }, { "from": "gpt", "value": "-m**3 - m**2 - 1" } ]
[ { "from": "human", "value": "Let a be 40/30 - (-38)/3. Let h be (-48)/2*(-7)/a. Solve 4*z - z - h = 0 for z." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the square root of 39534 to the nearest integer?" }, { "from": "gpt", "value": "199" } ]
[ { "from": "human", "value": "What is next in 33, 109, 175, 225, 253?" }, { "from": "gpt", "value": "253" } ]
[ { "from": "human", "value": "Let q = -0.38 + -3.62. Which is the second smallest value? (a) -3 (b) 0.1 (c) -2/7 (d) q" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "-2 + -4 + 2 - (1 + -5)" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose -b - 3*s - 12 = 0, 4*b - s = 10 + 7. Solve 0*q = -b*q + t + 16, 12 = -q - 4*t for q." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Which is smaller: -0.1 or -92?" }, { "from": "gpt", "value": "-92" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -15/4 (b) -1 (c) -4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "976 divided by -488" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let x = 4 - 4. Solve 2*q + 4 + 0 = x for q." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What are the prime factors of 8216691?" }, { "from": "gpt", "value": "3, 7, 521, 751" } ]
[ { "from": "human", "value": "Suppose -v - 3*t + 16 = 0, -v + 4*v = 4*t - 4. Calculate the highest common divisor of v and 20." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 6, what is 15 - 142?" }, { "from": "gpt", "value": "-123" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 17 and 1309." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Put -5, 4, -1, 5, 1 in descending order." }, { "from": "gpt", "value": "5, 4, 1, -1, -5" } ]
[ { "from": "human", "value": "In base 11, what is 8 + -29?" }, { "from": "gpt", "value": "-21" } ]
[ { "from": "human", "value": "In base 16, what is -5 + -25?" }, { "from": "gpt", "value": "-2a" } ]
[ { "from": "human", "value": "What is the fourth root of 12774 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Suppose 24 + 8 = 2*q. Solve -q = -4*j - 5*k + 3*k, 4*j - 4*k - 4 = 0 for j." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let r be (-2)/9 - (-849)/54. Let a = r + -16. Sort -3, 2, a in decreasing order." }, { "from": "gpt", "value": "2, a, -3" } ]
[ { "from": "human", "value": "How many minutes are there between 11:55 PM and 12:05 AM?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the w'th term of 25, 78, 157, 262, 393?" }, { "from": "gpt", "value": "13*w**2 + 14*w - 2" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 140 and 40?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Let r(m) be the first derivative of -5*m**3/3 + 40*m**2 - 320*m - 18. Find w, given that r(w) = 0." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Suppose 4*w**3 - 116*w**2 + 320*w - 208 = 0. Calculate w." }, { "from": "gpt", "value": "1, 2, 26" } ]
[ { "from": "human", "value": "Let b**5/4 - 3*b**4 + 37*b**3/4 - 21*b**2/2 + 4*b = 0. What is b?" }, { "from": "gpt", "value": "0, 1, 2, 8" } ]
[ { "from": "human", "value": "Is 247571 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the o'th term of 271, 323, 375, 427, 479?" }, { "from": "gpt", "value": "52*o + 219" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) 25 (b) 5 (c) 3/130 (d) 0.3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let y(o) be the first derivative of 6651*o**2 - 2*o + 15. Let q be y(1). Round q to the nearest 1000." }, { "from": "gpt", "value": "13000.0" } ]
[ { "from": "human", "value": "What is the distance between 4 and 4174.5?" }, { "from": "gpt", "value": "4170.5" } ]
[ { "from": "human", "value": "Evaluate -1*15/(-10)*20/15." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose 0 = -2*k + 2 - 14. Calculate the remainder when 14 is divided by (k - -8) + 0 + 2." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let t(z) = z**3 + 8*z**2 + 8*z + 7. Let p be t(-7). Solve -4*w - w + 15 = p for w." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the u'th term of -95, -379, -851, -1511, -2359, -3395, -4619?" }, { "from": "gpt", "value": "-94*u**2 - 2*u + 1" } ]
[ { "from": "human", "value": "Let y = -55/3 + 19. What is the nearest to y in 3, -0.1, -2?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Find the second derivative of -1268*m**2*n**3 + 130*m*n**2 - n**3 wrt m." }, { "from": "gpt", "value": "-2536*n**3" } ]
[ { "from": "human", "value": "What comes next: 13, 35, 73, 127, 197?" }, { "from": "gpt", "value": "283" } ]