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[ { "from": "human", "value": "Is -21 >= -22?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let u be 2/((-3)/(-3)*3 - 2). Solve -2*d - 26 = -3*p + u*d, -25 = 5*d for p." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 2, what is 1110 + 10100010?" }, { "from": "gpt", "value": "10110000" } ]
[ { "from": "human", "value": "Calculate 2 - (7 + (-8 - -1))." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Rearrange (-10*u**2 + 7*u**4 + 10*u**2 + (3*u + 0*u - 5*u)*(-2*u**3 - 2*u**3 + 2*u**3))*(5 - 1 - 1) to d + n*u + i*u**3 + t*u**4 + l*u**2 and give t." }, { "from": "gpt", "value": "33" } ]
[ { "from": "human", "value": "What is the third root of 6468 to the nearest integer?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Let t(w) = 2*w**3 + 3*w + 3. Let r(x) = 3*x**3 + x - 2. Let u be r(2). Suppose -3*d = d - u. Let s(i) = -3*i**3 - 5*i - 5. Determine d*s(j) + 10*t(j)." }, { "from": "gpt", "value": "2*j**3" } ]
[ { "from": "human", "value": "Solve 0 = 5*t - 36 + 11 for t." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Determine t so that -6*t**3/5 - 58*t**2/5 - 124*t/5 + 48/5 = 0." }, { "from": "gpt", "value": "-6, -4, 1/3" } ]
[ { "from": "human", "value": "Calculate -549949.9 + 1." }, { "from": "gpt", "value": "-549948.9" } ]
[ { "from": "human", "value": "Put -60, 18375, 3, 4, 2/13 in descending order." }, { "from": "gpt", "value": "18375, 4, 3, 2/13, -60" } ]
[ { "from": "human", "value": "Find the third derivative of -103*k**4 + 2*k**3*q - 2*k**3 - 52*k**2 + 4*q - 2 wrt k." }, { "from": "gpt", "value": "-2472*k + 12*q - 12" } ]
[ { "from": "human", "value": "What comes next: 110, 82, 40, -10, -62, -110?" }, { "from": "gpt", "value": "-148" } ]
[ { "from": "human", "value": "What is the ninth root of 14445 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "How many millilitres are there in 17/4 of a litre?" }, { "from": "gpt", "value": "4250" } ]
[ { "from": "human", "value": "Suppose 2 = -6*m + 4*m + w, -4*w = -3*m - 13. Let o(l) = l**2 - 10*l + 8. Let t be o(9). Let k = 1 + t. Which is smaller: m or k?" }, { "from": "gpt", "value": "k" } ]
[ { "from": "human", "value": "In base 15, what is 5 - -b69c?" }, { "from": "gpt", "value": "b6a2" } ]
[ { "from": "human", "value": "Expand (2*w**2 - 18*w**2 - 20*w**2)*(0*w + 3*w - 2*w) + 3 + 2*w**3 - 3." }, { "from": "gpt", "value": "-34*w**3" } ]
[ { "from": "human", "value": "Let r(t) = t**2 + 4*t - 7. Let c be r(2). Solve -c*u - 2*w = -15, u + w - 3 - 3 = 0 for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the y'th term of 12, 55, 162, 363, 688, 1167, 1830?" }, { "from": "gpt", "value": "5*y**3 + 2*y**2 + 2*y + 3" } ]
[ { "from": "human", "value": "Which is the closest to 2? (a) -2/13 (b) 0.2 (c) -3.5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the value of 1 + -6 + 14 - 2?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the second derivative of 5*z**3 - 66*z**2 - z - 1193 wrt z?" }, { "from": "gpt", "value": "30*z - 132" } ]
[ { "from": "human", "value": "How many grams are there in twenty-three eighths of a kilogram?" }, { "from": "gpt", "value": "2875" } ]
[ { "from": "human", "value": "What is the remainder when 9647 is divided by 24?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Round 96370 to the nearest ten thousand." }, { "from": "gpt", "value": "100000.0" } ]
[ { "from": "human", "value": "2*0.07" }, { "from": "gpt", "value": "0.14" } ]
[ { "from": "human", "value": "Suppose z = -4*c + 5044, -3*c - z + 1264 = -2*c. Let i be (-2)/15 + 528/c. Suppose 2/7*s + 0 - i*s**2 = 0. Calculate s." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Let y(i) = i**3 + i**2 + i. Let v be y(0). Suppose 0 = -v*a + a - 1. Suppose -2*n = 3*s - 10, 4*s + 2*n = 6*n. Solve s*b = a - 5 for b." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the value of -6 + -11 - (62 - 57) - -41?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Let o(w) = -w**3 + 8*w**2 - 9*w + 7. Suppose 2*j - 17 = 9. Suppose -52 + j = -3*c. Calculate the remainder when o(6) is divided by c." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Sort -6, 1, -4 in decreasing order." }, { "from": "gpt", "value": "1, -4, -6" } ]
[ { "from": "human", "value": "Let f = 17 + -5. Let k = 991 - 992. Which is smaller: f or k?" }, { "from": "gpt", "value": "k" } ]
[ { "from": "human", "value": "Let d(k) be the first derivative of -11*k**7/7 + 2*k**3 - 8. What is the third derivative of d(i) wrt i?" }, { "from": "gpt", "value": "-1320*i**3" } ]
[ { "from": "human", "value": "What is next in -64, -81, -96, -109, -120?" }, { "from": "gpt", "value": "-129" } ]
[ { "from": "human", "value": "What is 137015 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "52" } ]
[ { "from": "human", "value": "Calculate -11 divided by -11." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -3*r - 7 = 11. Let s(g) = -g**2 - 7*g - 5. Let m be s(r). Is 2/7 less than or equal to m?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let m = -3 + 1. Let t = 115.1 + -115. Which is the closest to t? (a) -2/15 (b) m (c) 3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Round 819130 to the nearest 100000." }, { "from": "gpt", "value": "800000.0" } ]
[ { "from": "human", "value": "Solve 3*b - 3*v - 24 = 0, 4*b - 40 = v - 17 for b." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate (9/(-6))/(342/(-24))." }, { "from": "gpt", "value": "2/19" } ]
[ { "from": "human", "value": "Let l(j) be the first derivative of 5*j**3/3 - 12*j**2 - 9*j - 1. Let d(x) = 2*x**2 - 12*x - 5. Let u(r) = 7*d(r) - 3*l(r). Is 14 a factor of u(-8)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -73680 rounded to the nearest one thousand?" }, { "from": "gpt", "value": "-74000.0" } ]
[ { "from": "human", "value": "Suppose 4*j**4 - 404*j**3 + 1572*j**2 - 1948*j + 776 = 0. Calculate j." }, { "from": "gpt", "value": "1, 2, 97" } ]
[ { "from": "human", "value": "What is next in -8811, -8810, -8809, -8808?" }, { "from": "gpt", "value": "-8807" } ]
[ { "from": "human", "value": "Let h = 2 + -1. Let d be 54/24 + h/(-4). Solve 12 = -d*j - j for j." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose 2 = -3*x + 4*x. Suppose -3*d + 10 = 2*t, -4*d + 4*t + 4 = x*t. Solve 3 = -d*l + l for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 4171 and 97?" }, { "from": "gpt", "value": "97" } ]
[ { "from": "human", "value": "What is -3.3 - 3.562?" }, { "from": "gpt", "value": "-6.862" } ]
[ { "from": "human", "value": "Does 272 divide 529584?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate ((-51)/102)/((-2)/24)." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the j'th term of -2017, -4035, -6053, -8071, -10089?" }, { "from": "gpt", "value": "1 - 2018*j" } ]
[ { "from": "human", "value": "In base 9, what is 0 + 161?" }, { "from": "gpt", "value": "161" } ]
[ { "from": "human", "value": "Which is the fourth biggest value? (a) 4 (b) -73 (c) 0.1 (d) 2/11" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "How many minutes are there between 2:47 AM and 10:23 AM?" }, { "from": "gpt", "value": "456" } ]
[ { "from": "human", "value": "What are the prime factors of 2064?" }, { "from": "gpt", "value": "2, 3, 43" } ]
[ { "from": "human", "value": "Calculate 136 divided by -6." }, { "from": "gpt", "value": "-68/3" } ]
[ { "from": "human", "value": "Let i = -14 + 40/3. Let y = -0.2 - -0.3. Let t = 0.15 - -0.85. What is the biggest value in i, y, t?" }, { "from": "gpt", "value": "t" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 91 and 34398." }, { "from": "gpt", "value": "91" } ]
[ { "from": "human", "value": "Determine w, given that -2*w**3 + 762*w**2 + 7770*w + 19550 = 0." }, { "from": "gpt", "value": "-5, 391" } ]
[ { "from": "human", "value": "What is the least common multiple of 768 and 3072?" }, { "from": "gpt", "value": "3072" } ]
[ { "from": "human", "value": "Let q(m) be the second derivative of -m**4/6 + m**3/6 - 2*m. Let a(u) = u**2 - u. Let j(l) = -13*a(l) - 6*q(l). Let p be j(7). Solve 0 = 4*v - p*v + 20 for v." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "In base 3, what is 112 - -2222?" }, { "from": "gpt", "value": "10111" } ]
[ { "from": "human", "value": "What is the highest common divisor of 330 and 570?" }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "Evaluate (-4 - 0) + 0 + 8." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Which is smaller: 481 or 483?" }, { "from": "gpt", "value": "481" } ]
[ { "from": "human", "value": "Suppose 0 = s - 6*s. Let h = -11 + 19. Let y be h/6*(-18)/(-4). Solve s = 4*p + l, -5*p + y*l - 21 = 2*l for p." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "(((-20)/(-14))/(-2))/(84/(-98))" }, { "from": "gpt", "value": "5/6" } ]
[ { "from": "human", "value": "Let o = -1457277/68 + 21431. Let f = o + -12/17. Which is the closest to 2? (a) f (b) 3/4 (c) 0.1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve -3 = -389*p + 392*p for p." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Find the second derivative of 2*a**5*k**2 - 498*a**5 - 3*a*k**2 + 2*k**2 wrt a." }, { "from": "gpt", "value": "40*a**3*k**2 - 9960*a**3" } ]
[ { "from": "human", "value": "What is the cube root of 17360392 to the nearest integer?" }, { "from": "gpt", "value": "259" } ]
[ { "from": "human", "value": "Let f(j) = -j**3 - 15*j**2 + 7*j - 13. Calculate f(-16)." }, { "from": "gpt", "value": "131" } ]
[ { "from": "human", "value": "Collect the terms in -36 - 493*a - 34 + 486*a - 29 + 99." }, { "from": "gpt", "value": "-7*a" } ]
[ { "from": "human", "value": "Factor -12*l**3 + 99*l**2 + 201*l + 90." }, { "from": "gpt", "value": "-3*(l - 10)*(l + 1)*(4*l + 3)" } ]
[ { "from": "human", "value": "Simplify (-6*(-2*(-1 + sqrt(147) + 1) - ((-1 + sqrt(147))*-1 - (sqrt(147) + 1*sqrt(147) + sqrt(147))*-3))*1 + -3)**2." }, { "from": "gpt", "value": "2520*sqrt(3) + 529209" } ]
[ { "from": "human", "value": "Calculate prob of picking 1 f and 2 y when three letters picked without replacement from {y: 4, f: 3, x: 3, o: 3, a: 7}." }, { "from": "gpt", "value": "3/190" } ]
[ { "from": "human", "value": "Factor 2*t**4 - 20*t**3 - 24*t**2 + 20*t + 22." }, { "from": "gpt", "value": "2*(t - 11)*(t - 1)*(t + 1)**2" } ]
[ { "from": "human", "value": "Divide 11931 by -97." }, { "from": "gpt", "value": "-123" } ]
[ { "from": "human", "value": "What is the square root of 400 to the nearest integer?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Is 9901 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let t = -0.12 + -0.02. Let j = 0.06 - t. What is the closest to -1 in j, -4, -2/5?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Which is bigger: -76 or -75?" }, { "from": "gpt", "value": "-75" } ]
[ { "from": "human", "value": "Let z be 69/18 - 2/(-12). Which is the nearest to -0.2? (a) -2 (b) -0.3 (c) z" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the value of ((-36)/(-6))/(4*-1)?" }, { "from": "gpt", "value": "-3/2" } ]
[ { "from": "human", "value": "(1 - 4) + -1 + -2" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the derivative of 6*f**2 + f**2 + 3*f**2 + 6 - 6*f**2 wrt f?" }, { "from": "gpt", "value": "8*f" } ]
[ { "from": "human", "value": "Let x(m) = -m**2 - m - 16. Let h be x(0). Let k be 4/(-14) - h/7. Solve -v + 9 = -k*c - 2*c, -5*c = -5*v + 30 for v." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the hundreds digit of 16969?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let k be (2 - 1) + (2 - 2). Let q(f) = 22*f**3 + f**2. What is the units digit of q(k)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 25 = 4*j + 3*i, -3*j - i + 6*i = 3. Let a be (-18)/12*j/(-3). What is the remainder when (a/5)/((-3)/(-30)) is divided by 2?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let l(x) = x**3 - 7*x**2 - 8*x + 2. Let n be l(8). Put -3, 1, n in decreasing order." }, { "from": "gpt", "value": "n, 1, -3" } ]
[ { "from": "human", "value": "Let v(g) = -7*g**2 - 9*g + 5. Let p(o) = 1 - 4*o**2 + 4*o**2 - o - o**2. Suppose -b - 2 = -1. Let n(q) = b*v(q) + 5*p(q). Factor n(k)." }, { "from": "gpt", "value": "2*k*(k + 2)" } ]
[ { "from": "human", "value": "Let h = -201 + 205. Suppose 3*c - c = -3*r + 195, 2*r = -h*c + 410. What is the least common multiple of 45 and c?" }, { "from": "gpt", "value": "315" } ]
[ { "from": "human", "value": "Solve 10*d + 198 = 278 for d." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let q = -169 + 175. Solve 3*n - 12 = -4*u, 0 = -3*n + u + u - q for n." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let a(o) = 9*o**2 + 2*o + 1. Let h be a(-1). Which is bigger: 9 or h?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let i = 9 + -9. Is i less than or equal to -6/71?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -8 = -0*f - 2*f for f." }, { "from": "gpt", "value": "4" } ]