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[ { "from": "human", "value": "What is the i'th term of -61413, -61409, -61403, -61395, -61385, -61373?" }, { "from": "gpt", "value": "i**2 + i - 61415" } ]
[ { "from": "human", "value": "Let l be (-6)/4*(-8)/3. Suppose 15 - 107 = -l*t. List the prime factors of t." }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "In base 14, what is -5 + -504?" }, { "from": "gpt", "value": "-509" } ]
[ { "from": "human", "value": "Put -0.2, 0.08, -19 in descending order." }, { "from": "gpt", "value": "0.08, -0.2, -19" } ]
[ { "from": "human", "value": "Solve -82 = -33*q + 17 for q." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let g = 3 - 2.7. Let t = -34.1 - -34.5. Which is the biggest value? (a) t (b) g (c) 4/5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let j(m) = -m**3 - 5*m**2 - 10*m - 6. Is 4 a factor of j(-5)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is ((-8)/(-9))/(936616/79524)?" }, { "from": "gpt", "value": "4/53" } ]
[ { "from": "human", "value": "Let q(x) = x. Let l be q(4). Suppose -d - 3*d = l. Let y be 21/12 - (-2)/(-2). Which is the second biggest value? (a) -3 (b) d (c) y" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Simplify (6*(sqrt(11) + -1)*-1)**2." }, { "from": "gpt", "value": "432 - 72*sqrt(11)" } ]
[ { "from": "human", "value": "(-516)/(-387)*1*(-6)/92" }, { "from": "gpt", "value": "-2/23" } ]
[ { "from": "human", "value": "Suppose -3*h + 1 = -8. Find the third derivative of h*p**4 - p**2 - 2*p**2 - 2*p**4 wrt p." }, { "from": "gpt", "value": "24*p" } ]
[ { "from": "human", "value": "Put -1, -14, 1, 185, 5 in descending order." }, { "from": "gpt", "value": "185, 5, 1, -1, -14" } ]
[ { "from": "human", "value": "Solve 4 = -2*d + 4*d for d." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 16, what is 23 + -6?" }, { "from": "gpt", "value": "1d" } ]
[ { "from": "human", "value": "Suppose -b + 5 = -v, -2*v - 2*b - 2*b + 20 = 0. Solve 3*a = -v*a + 6 for a." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Rearrange -8*b**4 + 57*b + 6*b**4 + 2*b**2 + 66*b to the form g*b**2 + y*b**3 + q*b + s*b**4 + l and give s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Multiply 2 and 0.039." }, { "from": "gpt", "value": "0.078" } ]
[ { "from": "human", "value": "Let u be (20/(-15))/(4/(-6)). Let n be (2 - 4) + (3 - 0). Differentiate -3*r**4 - n - r**u + 2 + r**2 wrt r." }, { "from": "gpt", "value": "-12*r**3" } ]
[ { "from": "human", "value": "What is the third root of 119307 to the nearest integer?" }, { "from": "gpt", "value": "49" } ]
[ { "from": "human", "value": "What is the third derivative of -20*f**4 - 10*f**2 - 2461*f + 2461*f wrt f?" }, { "from": "gpt", "value": "-480*f" } ]
[ { "from": "human", "value": "Suppose -4*t + 12 = -8. Differentiate t - 2 - 4 - 1 - 3*s wrt s." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 6 and 786." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Solve 7*a - 8 = -1 for a." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let i = -13 - -17. Let m = 88.1 - 88. Which is the nearest to m? (a) i (b) -4 (c) -4/15" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Factor -2*d**2/3 - 44*d/3 + 46/3." }, { "from": "gpt", "value": "-2*(d - 1)*(d + 23)/3" } ]
[ { "from": "human", "value": "Let g = 313 - 313.000672. Round g to five dps." }, { "from": "gpt", "value": "-0.00067" } ]
[ { "from": "human", "value": "Let f(o) = o - 3. Let l be f(-4). Let n(r) be the first derivative of -r**2/2 - 3*r - 1. Let j be n(l). Let p(y) = y**3 - 4*y**2 + 5. Give p(j)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Is 1560 a multiple of 13?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 14, what is 5 - -4db?" }, { "from": "gpt", "value": "502" } ]
[ { "from": "human", "value": "Let l(k) = -3035*k**2 - 9*k - 2953. Let g(v) = 1524*v**2 + 4*v + 1476. Let f(h) = -9*g(h) - 4*l(h). What is the first derivative of f(o) wrt o?" }, { "from": "gpt", "value": "-3152*o" } ]
[ { "from": "human", "value": "What is the third smallest value in -0.6, -5, 3/14?" }, { "from": "gpt", "value": "3/14" } ]
[ { "from": "human", "value": "Let a(o) = 122 - 18*o. Suppose 5*f = 2*l + 30, -2*f = -l - 18 + 6. Let x be a(f). Solve 3*r - 16 = -4*s, -2*s + x = -0*r + 3*r for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the g'th term of 29, 55, 81, 107, 133, 159?" }, { "from": "gpt", "value": "26*g + 3" } ]
[ { "from": "human", "value": "List the prime factors of 8204." }, { "from": "gpt", "value": "2, 7, 293" } ]
[ { "from": "human", "value": "Suppose 5*l - 10 = 10. Suppose -l = -2*a - 2*a + 4*s, 15 = 5*a + 5*s. Find the second derivative of a*m - 2*m + m - m**3 wrt m." }, { "from": "gpt", "value": "-6*m" } ]
[ { "from": "human", "value": "Let g(f) be the third derivative of 2/3*f**3 + 1/30*f**6 + 0*f**4 + 0 - f**2 + 0*f + 0*f**5. Differentiate g(m) wrt m." }, { "from": "gpt", "value": "12*m**2" } ]
[ { "from": "human", "value": "What is the x'th term of -65, -89, -143, -233, -365, -545?" }, { "from": "gpt", "value": "-x**3 - 9*x**2 + 10*x - 65" } ]
[ { "from": "human", "value": "Calculate the remainder when 63 is divided by 22." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "What is the value of 50/(-5)*(-5)/(-50)*5?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Does 54 divide 648?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "How many millennia are there in 264547.7 years?" }, { "from": "gpt", "value": "264.5477" } ]
[ { "from": "human", "value": "Let r(n) = 0 + 2*n - 4 + 5 - n. Let o be r(-1). Let t be 1/(-3)*-5*-3. Which is the biggest value? (a) t (b) o (c) 5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "List the prime factors of 5925." }, { "from": "gpt", "value": "3, 5, 79" } ]
[ { "from": "human", "value": "Let b = 0.1 + -0.8. Let l = 1.3 + b. Let i = l + 1.4. Are i and 1 equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Product of -0.8 and -1367." }, { "from": "gpt", "value": "1093.6" } ]
[ { "from": "human", "value": "Solve -119*v + 154*v = 0 for v." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 14*f - 124 + 54 = 0 for f." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let l be (-4)/((-32)/20 + 8/(-20)). Solve 0 = -5*k + r + 19, -k + l*r + 2 = -0*k for k." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the value of 0 + 4 + (5 - 5)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Simplify 1 + (sqrt(11) + sqrt(11)*-2)**2 + (sqrt(44)/sqrt(4))**2*5." }, { "from": "gpt", "value": "67" } ]
[ { "from": "human", "value": "Let p(w) = -w - 11. Let y be p(-11). Suppose y = -o - o. Suppose -50 = -5*s - o*s. Solve 2*n + 8 = 3*f, -5*f + s = -5*n - 5 for f." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the third smallest value in -2/5, 137/4, -4?" }, { "from": "gpt", "value": "137/4" } ]
[ { "from": "human", "value": "-5*2 + 1349/142" }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "Let k(c) be the first derivative of 3*c**5/20 + c**4/2 + c**3/2 + c + 4. Let h(u) be the first derivative of k(u). Factor h(m)." }, { "from": "gpt", "value": "3*m*(m + 1)**2" } ]
[ { "from": "human", "value": "Is 14843 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Simplify (f/f**(-3/4))**(-8/17) assuming f is positive." }, { "from": "gpt", "value": "f**(-14/17)" } ]
[ { "from": "human", "value": "Let g(r) = r**2 + 6. Let m be 5 + (3 + -1 - 4). Let y = -2 + m. Let n be (-3)/6*-2 - y. What is g(n)?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is 2/3 + (-64)/(-48)?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Which is the nearest to -0.04? (a) -2/9 (b) 4 (c) -7 (d) 3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Calculate 30/75 - (-1)/(-55)*32." }, { "from": "gpt", "value": "-2/11" } ]
[ { "from": "human", "value": "Let l(p) = -2*p**3 + 38*p**2 + 31*p - 19. Determine l(20)." }, { "from": "gpt", "value": "-199" } ]
[ { "from": "human", "value": "Product of 0 and -25.23." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is -1 minus 73.1?" }, { "from": "gpt", "value": "-74.1" } ]
[ { "from": "human", "value": "How many minutes are there between 8:03 PM and 11:07 PM?" }, { "from": "gpt", "value": "184" } ]
[ { "from": "human", "value": "Calculate 2 divided by -2." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let t(l) = -l**2 - 13*l + 14. Let p be t(-12). Let i = p + 25. Is i composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "List the prime factors of 113504." }, { "from": "gpt", "value": "2, 3547" } ]
[ { "from": "human", "value": "What is the second smallest value in 0, -0.1, 2/3, -0.07?" }, { "from": "gpt", "value": "-0.07" } ]
[ { "from": "human", "value": "Round -0.007407 to 3 dps." }, { "from": "gpt", "value": "-0.007" } ]
[ { "from": "human", "value": "Suppose 5*x - 45 = -5*c, 2*x + 2 = 4*c - 2*c. Suppose 0*r - 22 = -c*f + r, -r + 18 = 3*f. Suppose -f = -a - 2. Solve 0 = -z - 2 - a for z." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "In base 5, what is -343 + -24?" }, { "from": "gpt", "value": "-422" } ]
[ { "from": "human", "value": "What is the value of 6/(-1)*4/16?" }, { "from": "gpt", "value": "-3/2" } ]
[ { "from": "human", "value": "-0.548*5" }, { "from": "gpt", "value": "-2.74" } ]
[ { "from": "human", "value": "What is the value of 2 - 3 - (6 + -6)?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 6125247346 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "78264" } ]
[ { "from": "human", "value": "What is -11 (base 14) in base 15?" }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Let f be 2*(23/10 + -2). Suppose f*h**4 + 1/5*h**2 + 0 + 1/5*h**5 + 0*h + 3/5*h**3 = 0. Calculate h." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Suppose 0 = -17*i + 20*i + 18. Let c be (i/1845)/(1 - (-33854)/(-33798)). Let v = -18/287 + c. Calculate the common denominator of v and -59/8." }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "Suppose 4*c + 7 = 3. Let v(t) = -4*t**3 + t**2 + 2*t + 1. Let o be v(c). Suppose s = -o*s + 15. Solve -2*q = s*h - 4*h, -4*q + 5*h + 12 = 0 for q." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve 0 = 5*l - 3*h + 31, -7*l + 5*h = -2*l + 35 for l." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Simplify (4*(sqrt(8) - sqrt(288) - (sqrt(2) + sqrt(792)/sqrt(11))))**2." }, { "from": "gpt", "value": "9248" } ]
[ { "from": "human", "value": "What is the i'th term of -162, -302, -406, -456, -434, -322?" }, { "from": "gpt", "value": "3*i**3 - 161*i - 4" } ]
[ { "from": "human", "value": "Let j be -8 - (-1)/2*2. Let w(f) = -f - 3. Let m be w(j). Solve -m*x - 9 = -s, 4*s - 5 = -s for x." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let u(f) = f + 10. Let v be 250/(-35) - (-1)/7. Let n be u(v). Solve -n*g + 6*g + 6 = -i, -4*g = -i + 8 for i." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Evaluate (-2 - (1 - 0)) + -2." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let b = 6 + 0. Let x(s) = 5*s**2 + 13*s. Let r(q) = -q**2 - 3*q. Calculate b*x(g) + 26*r(g)." }, { "from": "gpt", "value": "4*g**2" } ]
[ { "from": "human", "value": "-1*(-4)/32*2" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "-104+-1" }, { "from": "gpt", "value": "-105" } ]
[ { "from": "human", "value": "Let x = 5 + -3. Suppose -4*u = 5*c + 16, -3*c = x*u - 3 + 11. Which is smaller: 1/5 or c?" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Convert 4 (base 10) to base 11." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Collect the terms in 4 + 12406*w - 4 - 12415*w." }, { "from": "gpt", "value": "-9*w" } ]
[ { "from": "human", "value": "Find u such that -3*u**2 + 48*u + 576 = 0." }, { "from": "gpt", "value": "-8, 24" } ]
[ { "from": "human", "value": "Expand (1 - 3 + 3)*(22*u + 29*u + 156*u**2 - 50*u)." }, { "from": "gpt", "value": "156*u**2 + u" } ]
[ { "from": "human", "value": "Suppose -p + 0*p - 9 = 0. Let k be (7/(-3))/((-3)/p). Let c = -7 - k. Are -2/23 and c equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the second biggest value in 2, -1, 6?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 3*j - 19 = -4*l, 0 = 5*j + 5*l + 11 - 41 for j." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let s(k) = 14*k**3 + 15*k**2 + 4*k + 3. Let v = 3 + -3. Let n(f) = 28*f**3 + 5 + v + 31*f**2 + 8*f + 0. Let d(m) = 3*n(m) - 5*s(m). Factor d(a)." }, { "from": "gpt", "value": "2*a*(a + 1)*(7*a + 2)" } ]
[ { "from": "human", "value": "Convert 2032.549cm to millimeters." }, { "from": "gpt", "value": "20325.49" } ]
[ { "from": "human", "value": "Let h(j) be the first derivative of j**2/2 + 6*j - 2. Let l = -1 - 4. Let d be h(l). Which is smaller: 1/9 or d?" }, { "from": "gpt", "value": "1/9" } ]