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math

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[ { "from": "human", "value": "Let q(h) = -h**2 + 6*h - 3. Let o be q(6). Calculate the remainder when 13 is divided by 3/(9/(-5))*o." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the value of 9/((-135)/(-12))*10/4?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let s = 1 + -1. Factor s - 4/5*t + 4/5*t**2 - 1/5*t**3." }, { "from": "gpt", "value": "-t*(t - 2)**2/5" } ]
[ { "from": "human", "value": "What is the closest to 1 in -1/3, 1/3, -31, -1/2?" }, { "from": "gpt", "value": "1/3" } ]
[ { "from": "human", "value": "Which is smaller: -84 or -97?" }, { "from": "gpt", "value": "-97" } ]
[ { "from": "human", "value": "What is -2 (base 11) in base 9?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 291 minutes before 1:27 PM?" }, { "from": "gpt", "value": "8:36 AM" } ]
[ { "from": "human", "value": "Evaluate 0 + -6 + 8 - 10." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "How many milligrams are there in eleven eighths of a gram?" }, { "from": "gpt", "value": "1375" } ]
[ { "from": "human", "value": "Let h = 3 + 10. Let w be -1 + (h/6 - 0). Let k = 5/6 - w. Which is the biggest value? (a) -2 (b) 1 (c) k" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Which is smaller: -20 or -34?" }, { "from": "gpt", "value": "-34" } ]
[ { "from": "human", "value": "What is the n'th term of -19, -13, -7, -1, 5?" }, { "from": "gpt", "value": "6*n - 25" } ]
[ { "from": "human", "value": "Let s(a) = -a**2 - 2*a - 3. Let t be s(-3). Let z be (4/t)/((-2)/6). Differentiate -1 + 0*c**2 + 0*c**2 - z*c**2 wrt c." }, { "from": "gpt", "value": "-4*c" } ]
[ { "from": "human", "value": "Let u = 15 - -12. Is u a multiple of 7?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the next term in -45, -125, -275, -531, -929, -1505, -2295, -3335?" }, { "from": "gpt", "value": "-4661" } ]
[ { "from": "human", "value": "Suppose 3*a - 4*a + 2*k - 1 = 0, -4*k + 8 = 0. Solve -a*l = 9, -2*n - 3*n - l = -2 for n." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is greater: 6 or -63?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Calculate (-902)/(-231) - 12/(3/1)." }, { "from": "gpt", "value": "-2/21" } ]
[ { "from": "human", "value": "Let m = -37 + 37. Is m at most -2/13?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Evaluate (-13)/(-52) + (-9)/4." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let l = -774/7 - -111. Factor l*v**5 + 3/7*v + 0*v**2 + 0 + 0*v**4 - 6/7*v**3." }, { "from": "gpt", "value": "3*v*(v - 1)**2*(v + 1)**2/7" } ]
[ { "from": "human", "value": "Solve -22*s - 21*s + 258 = 0 for s." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the square root of 73331 to the nearest integer?" }, { "from": "gpt", "value": "271" } ]
[ { "from": "human", "value": "In base 12, what is 16 + -1b?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is 5 divided by -189?" }, { "from": "gpt", "value": "-5/189" } ]
[ { "from": "human", "value": "What is prob of picking 3 b when three letters picked without replacement from {b: 4}?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 4, what is 2320013 + -332?" }, { "from": "gpt", "value": "2313021" } ]
[ { "from": "human", "value": "Let y be 28/36 - (-2)/9. Suppose -2*j = 4*v - 8, -j = 3*v - 4*v - y. Suppose -2*d - 15 = -q + 6*q, 3*q + 9 = j*d. Solve -4*n - n = d for n." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the d'th term of 346, 327, 296, 253, 198, 131?" }, { "from": "gpt", "value": "-6*d**2 - d + 353" } ]
[ { "from": "human", "value": "Find u, given that 5*u**5 - 85*u**3 - 180*u**2 - 100*u = 0." }, { "from": "gpt", "value": "-2, -1, 0, 5" } ]
[ { "from": "human", "value": "In base 4, what is -1 - 3000?" }, { "from": "gpt", "value": "-3001" } ]
[ { "from": "human", "value": "Collect the terms in -24*i + 14*i - 72*i." }, { "from": "gpt", "value": "-82*i" } ]
[ { "from": "human", "value": "Is 780371 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is 30277787 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the value of -3 + 0 + (-6 - -4)?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the remainder when 18 is divided by 11?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Is 3790 greater than or equal to 3790?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate the common denominator of -93/556 and -71/10." }, { "from": "gpt", "value": "2780" } ]
[ { "from": "human", "value": "Let s(h) be the second derivative of 11*h**3/3 - 3*h. Suppose 4*r - f = 65, 4*r - 3*f - f - 80 = 0. What is the remainder when s(2) is divided by r?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Add 0.4 and 506009." }, { "from": "gpt", "value": "506009.4" } ]
[ { "from": "human", "value": "Let g = 5 - 3. Let s(d) = -d**2 + 2*d. Let w be s(g). Solve 0*n + n - 2 = w for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Divide 5 by 48519." }, { "from": "gpt", "value": "5/48519" } ]
[ { "from": "human", "value": "What is the fourth smallest value in -27, -1, -40, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 11 (base 3) in base 11?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate the common denominator of 1/90 and 49/4600." }, { "from": "gpt", "value": "41400" } ]
[ { "from": "human", "value": "Simplify ((2*sqrt(567) - sqrt(7)) + 3)**2." }, { "from": "gpt", "value": "102*sqrt(7) + 2032" } ]
[ { "from": "human", "value": "Solve 984 = -7*w + 1033 for w." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Suppose -3*s = -s - 32. Suppose -2*v + s = 2*o, 3 + 0 = o. What is the nearest to -0.1 in 4, v, -2/3?" }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "What is next in -3, 11, 49, 123, 245, 427, 681?" }, { "from": "gpt", "value": "1019" } ]
[ { "from": "human", "value": "Solve 0 = f - 25*f - 24 for f." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the common denominator of 59/12 and 3 + 170/48 + (-2)/6?" }, { "from": "gpt", "value": "24" } ]
[ { "from": "human", "value": "Suppose 48 - 3 = 3*y. Suppose -5*f + 0 - 5 = -g, f - 15 = -3*g. Solve 5*n - g*o - 15 = 0, 0 = -4*n + 2*n + 5*o + y for n." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is next in 2, 7, 8, -7, -50, -133, -268?" }, { "from": "gpt", "value": "-467" } ]
[ { "from": "human", "value": "Which is the closest to 1? (a) 2 (b) -0.09 (c) 1.4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let t(f) be the third derivative of 4*f**2 + 0*f**3 + 0*f**4 + 0*f**6 + 1/42*f**7 - 1/20*f**5 + 0*f + 0. Find the third derivative of t(b) wrt b." }, { "from": "gpt", "value": "120*b" } ]
[ { "from": "human", "value": "What is the value of 3*1*(-45)/(-27)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "((-2)/(-8)*-2)/((-2)/(-2))" }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "Factor -2*j**3/11 + 52*j**2/11 - 50*j/11." }, { "from": "gpt", "value": "-2*j*(j - 25)*(j - 1)/11" } ]
[ { "from": "human", "value": "What is the third derivative of 291*g**5 + 7*g**2 - 2?" }, { "from": "gpt", "value": "17460*g**2" } ]
[ { "from": "human", "value": "Suppose 2*m = -3*m + 20. Suppose 0 = 4*f - 4*w + 8, m*f = 5*f - 4*w + 17. Suppose -2*p = p - f. Which is smaller: 3/7 or p?" }, { "from": "gpt", "value": "3/7" } ]
[ { "from": "human", "value": "Find the second derivative of 2257*x**2 + 1259*x wrt x." }, { "from": "gpt", "value": "4514" } ]
[ { "from": "human", "value": "Convert 4 (base 12) to base 8." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Convert -3 (base 11) to base 5." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -3*w + w = -3*k + 1, w = 3*k - 5. Suppose k*g - 2*c - 24 = 2*c, 5*g - c - 40 = 0. List the prime factors of g." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify ((n/((n*n**(-3/4))/n))/n**(-2/9))**(4/15) assuming n is positive." }, { "from": "gpt", "value": "n**(71/135)" } ]
[ { "from": "human", "value": "Let k be (-8)/(-40) - (458/5)/(-2). Calculate the greatest common factor of 46 and k." }, { "from": "gpt", "value": "46" } ]
[ { "from": "human", "value": "In base 5, what is 30 - -4?" }, { "from": "gpt", "value": "34" } ]
[ { "from": "human", "value": "Differentiate t**3 - 62*t**2 - 4864 with respect to t." }, { "from": "gpt", "value": "3*t**2 - 124*t" } ]
[ { "from": "human", "value": "Let t(q) = -q - 1. Let w be t(1). Let s be 2 + -6 + 12/4. What is the tens digit of s - (w - (-28)/(-2))?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let q(z) = -2*z - 7. Let w be q(-6). Let u be w + 0*2/(-4). Suppose -u*k - 4*v + 28 + 142 = 0, 5*v = k - 34. Calculate the remainder when k is divided by 12." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Solve 5 = -7*i + 54 for i." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let z = -0.445 + -0.055. Let v = -3 - -3.2. What is the nearest to 0.4 in 0.5, v, z?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "What is the highest common factor of 48 and 768?" }, { "from": "gpt", "value": "48" } ]
[ { "from": "human", "value": "872*0.2" }, { "from": "gpt", "value": "174.4" } ]
[ { "from": "human", "value": "What comes next: 169, 340, 511, 682?" }, { "from": "gpt", "value": "853" } ]
[ { "from": "human", "value": "What is next in -67, -53, -39, -25, -11, 3?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Let w = 0 + 22. Calculate the greatest common divisor of w and 198." }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "Calculate the remainder when 12741 is divided by 277." }, { "from": "gpt", "value": "276" } ]
[ { "from": "human", "value": "Simplify sqrt(11) + ((sqrt(11) + -1)*-4)**2 - (((sqrt(11) + sqrt(11)*-3 + sqrt(11))*-2)**2 + sqrt(11))." }, { "from": "gpt", "value": "148 - 32*sqrt(11)" } ]
[ { "from": "human", "value": "What is the square root of 18610 to the nearest integer?" }, { "from": "gpt", "value": "136" } ]
[ { "from": "human", "value": "Calculate prob of sequence da when two letters picked without replacement from {y: 5, a: 2, d: 2}." }, { "from": "gpt", "value": "1/18" } ]
[ { "from": "human", "value": "(252/1680)/((-9)/(-5))" }, { "from": "gpt", "value": "1/12" } ]
[ { "from": "human", "value": "Let p = 54 + -214. Let n be p/3*270/36. Round n to the nearest 1000." }, { "from": "gpt", "value": "0.0" } ]
[ { "from": "human", "value": "Let y(v) = v**2 + 16*v + 18. Let c be y(-15). Suppose 5*r = 4*z + 22, 0*r - 3*r - z + 3 = 0. Which is greater: c or r?" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 534100 rounded to the nearest ten thousand?" }, { "from": "gpt", "value": "530000.0" } ]
[ { "from": "human", "value": "What is h in -33*h**3 - 219*h**2 - 339*h - 153 = 0?" }, { "from": "gpt", "value": "-51/11, -1" } ]
[ { "from": "human", "value": "Let s = 63 + -62.7. What is the closest to -0.1 in -0.3, -2/9, s?" }, { "from": "gpt", "value": "-2/9" } ]
[ { "from": "human", "value": "-c (base 14) to base 5" }, { "from": "gpt", "value": "-22" } ]
[ { "from": "human", "value": "Let p = -142715/126 + 7908/7. Calculate the common denominator of (1/(-40))/(3/(-318)) and p." }, { "from": "gpt", "value": "180" } ]
[ { "from": "human", "value": "Let b(f) be the third derivative of 23/240*f**4 + 3*f + 0 - 1/1200*f**6 - 1/60*f**5 - 1/5*f**3 - 25*f**2. Factor b(g)." }, { "from": "gpt", "value": "-(g - 1)**2*(g + 12)/10" } ]
[ { "from": "human", "value": "Let f(w) be the first derivative of 4*w**3/27 + 8*w**2/9 - 20*w/9 + 122. Factor f(x)." }, { "from": "gpt", "value": "4*(x - 1)*(x + 5)/9" } ]
[ { "from": "human", "value": "Let x(l) = 3*l**3. Let q be x(1). Suppose -w + 5 = q. Solve w*h = -h for h." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate 0/((-8)/(-16)*8)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Find the second derivative of 30*b**2*g**2*x**2*z + b**2*z - 25*b*g*x**2 + b*x*z + 2*g**2*x*z - 21*g**2 - g*x**2*z + g wrt g." }, { "from": "gpt", "value": "60*b**2*x**2*z + 4*x*z - 42" } ]
[ { "from": "human", "value": "Add 4 and 3809." }, { "from": "gpt", "value": "3813" } ]
[ { "from": "human", "value": "Sort -0.79, -2, 2/17 in decreasing order." }, { "from": "gpt", "value": "2/17, -0.79, -2" } ]
[ { "from": "human", "value": "Simplify 6*((-1 + sqrt(833) + -4)**2 - (-5 + sqrt(833) + -1)**2)." }, { "from": "gpt", "value": "-66 + 84*sqrt(17)" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 10 and 3198." }, { "from": "gpt", "value": "15990" } ]
[ { "from": "human", "value": "What is the distance between -0.21 and -742?" }, { "from": "gpt", "value": "741.79" } ]
[ { "from": "human", "value": "Solve -3*d = 3*k + 3, -d - 2*d + 15 = -3*k for k." }, { "from": "gpt", "value": "-3" } ]