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math

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[ { "from": "human", "value": "Let b = 591 + -357. List the prime factors of b." }, { "from": "gpt", "value": "2, 3, 13" } ]
[ { "from": "human", "value": "Evaluate ((-2)/1*(-5)/(-35))/(-1)." }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Let r(u) = u + 15. Let t(d) = -5*d**2 + 4*d + 5. Suppose -11 = -14*x + 17. Let v be t(x). Is r(v) a multiple of 2?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the closest to 0.1? (a) 1 (b) -22 (c) -5/4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is next in -9, -9, -7, -3, 3, 11?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "What is the value of (2/11)/(186/1023)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Determine v, given that 6*v**2/11 - 24*v - 1152/11 = 0." }, { "from": "gpt", "value": "-4, 48" } ]
[ { "from": "human", "value": "Let m = 609 - 605. Let j(t) = 4*t**3 - t**2. Let p be j(1). Solve p*l - 10 = -m for l." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let v(f) be the first derivative of 0*f**3 + 3 - 1/2*f**4 + 0*f**2 - f. Find the first derivative of v(g) wrt g." }, { "from": "gpt", "value": "-6*g**2" } ]
[ { "from": "human", "value": "What is the fourth root of 3611 to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "12.2 * -0.016" }, { "from": "gpt", "value": "-0.1952" } ]
[ { "from": "human", "value": "Work out 0.696 - 1342." }, { "from": "gpt", "value": "-1341.304" } ]
[ { "from": "human", "value": "Solve 50*g - 51*g - 1 = 0 for g." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let n(m) = m**2 + 2*m - 5. Let u(r) = -3*r + r + r. Let z(i) = n(i) - 2*u(i). Let s be z(-5). Solve -2*x + 3*x - 1 = s for x." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What comes next: -494, -493, -492, -491, -490, -489?" }, { "from": "gpt", "value": "-488" } ]
[ { "from": "human", "value": "Is 1381376 a multiple of 362?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -102 (base 7) in base 5?" }, { "from": "gpt", "value": "-201" } ]
[ { "from": "human", "value": "What is 34500 divided by -8625?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Evaluate ((-36)/990)/(3/(-33))." }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "What is the o'th term of -2709, -5414, -8119?" }, { "from": "gpt", "value": "-2705*o - 4" } ]
[ { "from": "human", "value": "What is the next term in -870, -1743, -2620, -3501, -4386?" }, { "from": "gpt", "value": "-5275" } ]
[ { "from": "human", "value": "What is 2636.74 less than -0.5?" }, { "from": "gpt", "value": "-2637.24" } ]
[ { "from": "human", "value": "Evaluate (29/116)/((-18)/16)." }, { "from": "gpt", "value": "-2/9" } ]
[ { "from": "human", "value": "Solve 2*n + 24 = 20 for n." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 4695 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let z(k) = -k**3 + k**2 + 4*k - 2. Let r be z(2). Let w = 5/183 - -1429/1281. Which is greater: w or r?" }, { "from": "gpt", "value": "r" } ]
[ { "from": "human", "value": "Factor h**5 + 2*h**4 - 12*h**3 - 40*h**2 - 32*h." }, { "from": "gpt", "value": "h*(h - 4)*(h + 2)**3" } ]
[ { "from": "human", "value": "What is next in -20, -57, -132, -257, -444, -705?" }, { "from": "gpt", "value": "-1052" } ]
[ { "from": "human", "value": "Let b(k) = -k**2 - 13*k + 8. Let q be b(-12). Suppose -16 = g - 3*g + 2*l, q = -4*l. Solve -2*i = -5*c - i + 5, 1 = g*c - i for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) -22/75 (b) 1 (c) -2/3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "10 + (8 - 21) - (-1 - 5)" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the common denominator of -76/5521041 and -65/1840347?" }, { "from": "gpt", "value": "5521041" } ]
[ { "from": "human", "value": "-6*(3/(-33))/((-2)/11)" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let i = -24 + 27. Is i bigger than 3?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 2*d - 3 = d for d." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let a(b) be the third derivative of b**6/120 + b**5/30 + b**4/24 + 14*b**2. Let a(j) = 0. What is j?" }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "What are the prime factors of 670?" }, { "from": "gpt", "value": "2, 5, 67" } ]
[ { "from": "human", "value": "Factor -2/7*z**3 + 2/7 + 6/7*z**2 - 6/7*z." }, { "from": "gpt", "value": "-2*(z - 1)**3/7" } ]
[ { "from": "human", "value": "Let w = -0.75 - -1.75. Which is the fourth smallest value? (a) w (b) 5 (c) -1 (d) 2/13" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What comes next: 205, 389, 559, 715?" }, { "from": "gpt", "value": "857" } ]
[ { "from": "human", "value": "Let n = 272/465 + -14/31. Suppose -4*p - 3 + 11 = 0. Suppose p*f - 5*f = -12. What is the smallest value in 1/5, f, n?" }, { "from": "gpt", "value": "n" } ]
[ { "from": "human", "value": "Let q be ((-1)/2)/(6/(-48)). Let t be 0/(-2)*(0 + -1). Suppose -q*x + x = t. Is x less than 0?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 1*(-6)/9*15/20." }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "(-80)/(-60)*18/8" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve -5*o = -2*w - 6*o + 2, -2*w + o + 2 = 0 for w." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let p be ((-6)/4)/((-1)/(-2)). Let r(f) = 3*f + 2. Let q be r(p). Let k(m) = -m**3 - 6*m**2 + 5*m + 6. Let j be k(q). Solve 7*d + j = 2*d for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let x be (-13)/(-3) - 2/6. Let k be (-12 + 1 - -2) + 12. Suppose 409 = z + 2*m, 0*m - 1625 = -x*z + k*m. Is z composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -z - 2*d = -15, -z = -5*z + 5*d - 5. Sort z, 3, 0 in decreasing order." }, { "from": "gpt", "value": "z, 3, 0" } ]
[ { "from": "human", "value": "Let g(f) = 96 - 6*f. Let y be g(15). Let u = 4 + 0. Let s = u + -2. Solve s*x - y*x + 8 = 0 for x." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate ((-7)/(1155/(-88)))/((-4)/(-10))." }, { "from": "gpt", "value": "4/3" } ]
[ { "from": "human", "value": "Let h(q) = -35*q - 5. What are the prime factors of h(-3)?" }, { "from": "gpt", "value": "2, 5" } ]
[ { "from": "human", "value": "Let h(f) be the second derivative of 2*f**6/15 + 77*f**5 - 387*f**4 + 2326*f**3/3 - 776*f**2 + 2806*f. Determine g, given that h(g) = 0." }, { "from": "gpt", "value": "-388, 1" } ]
[ { "from": "human", "value": "Is -731 less than -732?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let k = -0.37 - -0.27. Suppose 3*h + 0*h = -3*s + 6, 4*s - 14 = -2*h. Let i = -10 - -25/3. What is the nearest to -0.1 in k, s, i?" }, { "from": "gpt", "value": "k" } ]
[ { "from": "human", "value": "Let k = 0.72 - -2.58. Let c = 1.7 + k. What is the closest to -3 in c, 0.1, 1/5?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "What is the closest to 0.1 in 2/7, 7/5, 279?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "What is the y'th term of -40, 38, 116, 194?" }, { "from": "gpt", "value": "78*y - 118" } ]
[ { "from": "human", "value": "What is the d'th term of -114, -209, -286, -339, -362, -349, -294?" }, { "from": "gpt", "value": "d**3 + 3*d**2 - 111*d - 7" } ]
[ { "from": "human", "value": "What is the fourth root of 61361 to the nearest integer?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Suppose 10 = 2*w - 42. Solve 0 = -3*t + 5*f + w, 2*t - 6*t = 2*f for t." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the value of (20/15)/((-28)/(-6))?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Simplify (-2*1*sqrt(425)*2)**2." }, { "from": "gpt", "value": "6800" } ]
[ { "from": "human", "value": "Suppose -5*q - 15 = 0, 2*m - 70 - 99 = -3*q. Is m a multiple of 9?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is next in -387, -724, -1061?" }, { "from": "gpt", "value": "-1398" } ]
[ { "from": "human", "value": "What is the closest to -5/2 in 1/3, 0.5, 3?" }, { "from": "gpt", "value": "1/3" } ]
[ { "from": "human", "value": "Suppose 0 = 2*f + 6 + 4. Is (f/(-2))/((-2)/(-8)) a multiple of 9?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 660 and 60." }, { "from": "gpt", "value": "60" } ]
[ { "from": "human", "value": "What is 83337.47 nanograms in milligrams?" }, { "from": "gpt", "value": "0.08333747" } ]
[ { "from": "human", "value": "Which is the fourth biggest value? (a) 9 (b) 1.1 (c) 4 (d) 0.4" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is the f'th term of -682, -693, -718, -763, -834, -937, -1078?" }, { "from": "gpt", "value": "-f**3 - f**2 - f - 679" } ]
[ { "from": "human", "value": "Find the common denominator of 87*1/81 - (0 + 0) and -50/27." }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "What comes next: 51, 198, 445, 792?" }, { "from": "gpt", "value": "1239" } ]
[ { "from": "human", "value": "What is 0.000461 rounded to four dps?" }, { "from": "gpt", "value": "0.0005" } ]
[ { "from": "human", "value": "In base 16, what is -124 + 4?" }, { "from": "gpt", "value": "-120" } ]
[ { "from": "human", "value": "Calculate the remainder when 307 is divided by 21." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Let x(f) = -f**2 + 3*f - 6. Let i be x(4). Let k be 2/10 - 28/i. Solve -4*r + k*r = 2 for r." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Sort 2, -4, -17, -8 in descending order." }, { "from": "gpt", "value": "2, -4, -8, -17" } ]
[ { "from": "human", "value": "What is the closest to -2 in 2/15, 3, 2/9?" }, { "from": "gpt", "value": "2/15" } ]
[ { "from": "human", "value": "What is the nearest to 2 in 11, -0.1, -4?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "What is the next term in 19, 13, -9, -53, -125, -231, -377, -569?" }, { "from": "gpt", "value": "-813" } ]
[ { "from": "human", "value": "Let o(l) = -l**2 - 73*l - 858. What is the remainder when 82 is divided by o(-58)?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is 5 - (5 - 2 - (9 - 7))?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 4009 and 19." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Solve -5*s**5 + 45*s**4 + 30*s**3 - 310*s**2 + 375*s - 135 = 0 for s." }, { "from": "gpt", "value": "-3, 1, 9" } ]
[ { "from": "human", "value": "How many minutes are there between 6:13 AM and 2:03 PM?" }, { "from": "gpt", "value": "470" } ]
[ { "from": "human", "value": "Add together 3 and 934." }, { "from": "gpt", "value": "937" } ]
[ { "from": "human", "value": "Simplify sqrt(153)/(sqrt(1089)*3 + sqrt(1089)) + 3." }, { "from": "gpt", "value": "sqrt(17)/44 + 3" } ]
[ { "from": "human", "value": "What is the remainder when 463 is divided by 79?" }, { "from": "gpt", "value": "68" } ]
[ { "from": "human", "value": "Put 0, 5, -2, -71 in descending order." }, { "from": "gpt", "value": "5, 0, -2, -71" } ]
[ { "from": "human", "value": "What is 1497 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let c(s) = s + 7. Let a be c(8). Suppose k = 6*k - a. Suppose -j**4 + 3*j**3 - k*j**3 = 0. Calculate j." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "2550 divided by 5" }, { "from": "gpt", "value": "510" } ]
[ { "from": "human", "value": "Which is the fourth biggest value? (a) 4 (b) 0.061 (c) 6 (d) 3/8" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let i = 33 + -19. Let d = -2610 - -2610. Let q = 5.88 + -0.88. Sort d, i, q, -5 in descending order." }, { "from": "gpt", "value": "i, q, d, -5" } ]
[ { "from": "human", "value": "Simplify (-1*(4 + sqrt(11)) + sqrt(33)/(sqrt(24)/sqrt(8)))**2." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 1328 and 72." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Simplify (-2*sqrt(720) + sqrt(45))/(sqrt(900) - (sqrt(900) + 2*sqrt(900)))*6." }, { "from": "gpt", "value": "21*sqrt(5)/10" } ]
[ { "from": "human", "value": "Simplify (5 + sqrt(612)*2 + 5*(-3 + sqrt(51)/sqrt(3)))**2." }, { "from": "gpt", "value": "5013 - 340*sqrt(17)" } ]
[ { "from": "human", "value": "In base 15, what is 302 + 2?" }, { "from": "gpt", "value": "304" } ]
[ { "from": "human", "value": "What are the prime factors of (-7*2/6)/((-7)/294)?" }, { "from": "gpt", "value": "2, 7" } ]