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[ { "from": "human", "value": "What are the prime factors of 8350960?" }, { "from": "gpt", "value": "2, 5, 47, 2221" } ]
[ { "from": "human", "value": "Let a = 30 + -10. Let j(d) = d**3 - 5*d**2 + 5*d - 1. Let v be j(4). Suppose -63 + v = -3*w. Solve -5*n = 5*p - w, 8*n = 2*p + 3*n + a for p." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 2 times 0.0226?" }, { "from": "gpt", "value": "0.0452" } ]
[ { "from": "human", "value": "Solve 13*j - 1696 = -1605 for j." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Calculate 84 - -8.0359." }, { "from": "gpt", "value": "92.0359" } ]
[ { "from": "human", "value": "Let l(h) be the third derivative of 3*h**8/56 - 13*h**5/20 - 4*h**2. Find the third derivative of l(b) wrt b." }, { "from": "gpt", "value": "1080*b**2" } ]
[ { "from": "human", "value": "What is the sixth root of 610 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Is 23909 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 17 (base 8) in base 12?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "What is 1418 times -0.4?" }, { "from": "gpt", "value": "-567.2" } ]
[ { "from": "human", "value": "Let s(v) = 2*v**2. Let z(x) = 12*x**2. Let t(g) = g**2. Let w(j) = -68*t(j) + 6*z(j). Calculate w(s(c))." }, { "from": "gpt", "value": "16*c**4" } ]
[ { "from": "human", "value": "Collect the terms in 394*f**3 - 199*f**3 + 0*f**2 + 0*f**2 - 194*f**3." }, { "from": "gpt", "value": "f**3" } ]
[ { "from": "human", "value": "Simplify (-1*(sqrt(153) - (sqrt(153) - sqrt(153)*1 - sqrt(153))))/(2*sqrt(81))." }, { "from": "gpt", "value": "-sqrt(17)/3" } ]
[ { "from": "human", "value": "Let h = 45 + -41. Solve -2*k - 25 = -3*k + h*i, 5*k = i + 30 for k." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What are the prime factors of 31987?" }, { "from": "gpt", "value": "29, 1103" } ]
[ { "from": "human", "value": "What is the s'th term of 344, 664, 984, 1304, 1624, 1944?" }, { "from": "gpt", "value": "320*s + 24" } ]
[ { "from": "human", "value": "5 (base 16) to base 8" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the o'th term of 245, 247, 249, 251, 253, 255?" }, { "from": "gpt", "value": "2*o + 243" } ]
[ { "from": "human", "value": "Simplify ((sqrt(144)*2)/(sqrt(243) + -1*sqrt(243) - sqrt(3)))**2." }, { "from": "gpt", "value": "192" } ]
[ { "from": "human", "value": "In base 2, what is 101 - 1100?" }, { "from": "gpt", "value": "-111" } ]
[ { "from": "human", "value": "What is -4 + -9.735?" }, { "from": "gpt", "value": "-13.735" } ]
[ { "from": "human", "value": "Find m, given that 392*m**5/3 - 532*m**4 + 2857*m**3/6 - 357*m**2/2 + 92*m/3 - 2 = 0." }, { "from": "gpt", "value": "1/4, 2/7, 3" } ]
[ { "from": "human", "value": "Express -z**4 - 5*z**3 - 2*z**2 + 3 - z + 4*z**3 + 2*z**3 as y*z**4 + n*z**3 + q*z**2 + p + f*z and give y." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 936 divided by -6?" }, { "from": "gpt", "value": "-156" } ]
[ { "from": "human", "value": "Evaluate (7 - (-7 - -15)) + -3 + 1." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is 97 a factor of 3007?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let k(u) = -u**2 - 5*u + 7. Let d be k(-6). What is the units digit of (d/(-4))/(3/(-876))?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let z(q) = -q**2 + 6*q - 399. Let s be z(0). Let b be 5 + (-679)/s*-3. Put 2/7, b, -0.006, 2/11 in ascending order." }, { "from": "gpt", "value": "b, -0.006, 2/11, 2/7" } ]
[ { "from": "human", "value": "What is 40335 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Sort -23/7, 0.1, 1/3 in increasing order." }, { "from": "gpt", "value": "-23/7, 0.1, 1/3" } ]
[ { "from": "human", "value": "Factor -3*u**4/5 + 12*u**3/5 - 3*u**2/5 - 18*u/5." }, { "from": "gpt", "value": "-3*u*(u - 3)*(u - 2)*(u + 1)/5" } ]
[ { "from": "human", "value": "What is the v'th term of -153, -315, -477, -639, -801?" }, { "from": "gpt", "value": "9 - 162*v" } ]
[ { "from": "human", "value": "What is the next term in 89, 194, 317, 458?" }, { "from": "gpt", "value": "617" } ]
[ { "from": "human", "value": "Let k be (-16 - 15/5)*-1. Let i(v) = -v**2 + 18*v + 15. Let m be i(k). Let s(o) = o - 3. Let u be s(2). Which is the biggest value? (a) m (b) 0 (c) u" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the greatest common factor of 12096 and 32?" }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "What is 470 minutes after 7:43 PM?" }, { "from": "gpt", "value": "3:33 AM" } ]
[ { "from": "human", "value": "Let z(k) be the second derivative of -1/3*k**3 + 0*k**2 - 3/20*k**5 + 5/12*k**4 + 0 - 4*k. Determine h so that z(h) = 0." }, { "from": "gpt", "value": "0, 2/3, 1" } ]
[ { "from": "human", "value": "Suppose -2*z = -4*x - 72, -5*z + 46 = -2*x + 34. Suppose 0 = -2*h - 10, 0*g - 5*g - 55 = 4*h. What are the prime factors of (468/g)/(-3) - (-6)/x?" }, { "from": "gpt", "value": "2, 11" } ]
[ { "from": "human", "value": "Simplify 6*((sqrt(1323) + sqrt(1323)*-1)/(sqrt(18)/sqrt(8)))**2." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 8*p + 19 = 27*p for p." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 6*i - 6 = 9*i for i." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let r = -25 - -16. Let f = r - -19/2. Solve -f*x**2 + x + 0 = 0 for x." }, { "from": "gpt", "value": "0, 2" } ]
[ { "from": "human", "value": "Simplify ((sqrt(108)*2 - sqrt(108))/sqrt(9))/((sqrt(8) - sqrt(72))/sqrt(2))." }, { "from": "gpt", "value": "-sqrt(3)/2" } ]
[ { "from": "human", "value": "Solve -t**5/7 - 11*t**4/7 - 33*t**3/7 - 37*t**2/7 - 2*t = 0." }, { "from": "gpt", "value": "-7, -2, -1, 0" } ]
[ { "from": "human", "value": "Let u = 1017/7 + -145. Suppose u + 2/7*m**2 - 4/7*m = 0. What is m?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the q'th term of 229, 268, 307, 346, 385?" }, { "from": "gpt", "value": "39*q + 190" } ]
[ { "from": "human", "value": "What is next in 1169, 1196, 1241, 1304, 1385?" }, { "from": "gpt", "value": "1484" } ]
[ { "from": "human", "value": "Let n(i) = 2*i. Suppose 0 = z - 3 + 1. Let h(o) = -4*o**2 + o**2 + 0*o**2 - o**z. Calculate h(n(k))." }, { "from": "gpt", "value": "-16*k**2" } ]
[ { "from": "human", "value": "Calculate 45 divided by -15." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is ((-4)/(-6))/((-4)/18)?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the units digit of 268?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Suppose 2*h + 3*h + 265 = r, -5*h = -15. Suppose -5*x + 0*x + r = 0. What is the remainder when x is divided by 19?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Round 0.001686 to four dps." }, { "from": "gpt", "value": "0.0017" } ]
[ { "from": "human", "value": "Let a(p) = -12*p**3 + 11*p**2 + 23*p + 18. Let w = 141 - 146. Is a(w) prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 0*c**2 - 275*c**3 - 9*c**4 + 2*c**2 - 6*c + 287*c**3 + c**2 = 0 for c." }, { "from": "gpt", "value": "-2/3, 0, 1" } ]
[ { "from": "human", "value": "Let g = 52 - 28. Calculate the remainder when 70 is divided by g." }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "Sort 3, 60, -9, -5 in decreasing order." }, { "from": "gpt", "value": "60, 3, -5, -9" } ]
[ { "from": "human", "value": "What is the hundreds digit of 880?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Which is the nearest to -1? (a) -83 (b) -0.2 (c) -1 (d) 0.1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Is 168673 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 401150 - -1." }, { "from": "gpt", "value": "401151" } ]
[ { "from": "human", "value": "Calculate -0.5*10.5." }, { "from": "gpt", "value": "-5.25" } ]
[ { "from": "human", "value": "Let z be 124/20 - (9/15)/3. Suppose -4*o - z + 266 = 0. Is 5 a factor of o?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Total of 0.8 and 0.26235." }, { "from": "gpt", "value": "1.06235" } ]
[ { "from": "human", "value": "Suppose -3 = 3*f - 2*j, 0*j + 3*j - 9 = 0. Let g be -1 + f + 11 + -8. Solve 2*s = -g*s - 15 for s." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose 0 = 5*o - 5, 4*c + 0*o + 133 = o. Let z = c - -21. Let j = z + 25. Does 13 divide j?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate (2/6)/((-2404)/(-120) - 20)." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the third derivative of -152*a**3 - 529*a**2?" }, { "from": "gpt", "value": "-912" } ]
[ { "from": "human", "value": "What is 5688 less than -0.6?" }, { "from": "gpt", "value": "-5688.6" } ]
[ { "from": "human", "value": "What is the product of 1 and 0.069?" }, { "from": "gpt", "value": "0.069" } ]
[ { "from": "human", "value": "Let v be (-3*2/(-15))/((-1)/(-5)). Suppose v*f = -0*f - 4. Is -6 at most f?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let z(b) = b**3 - 3*b**2 - b + 3. Let r be z(3). Let t = -4 + 7. Suppose -30 = -2*a - t*a. Solve r = 2*i + a for i." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 179 divided by 1?" }, { "from": "gpt", "value": "179" } ]
[ { "from": "human", "value": "Let z(r) = -3*r**2 - 4 - r**2 - 13*r + 3*r**2 + 2*r**2. List the prime factors of z(16)." }, { "from": "gpt", "value": "2, 11" } ]
[ { "from": "human", "value": "Let a = -117/2 + 57. What is the nearest to 6 in a, -1/5, -4?" }, { "from": "gpt", "value": "-1/5" } ]
[ { "from": "human", "value": "What is 88 minutes before 3:27 AM?" }, { "from": "gpt", "value": "1:59 AM" } ]
[ { "from": "human", "value": "(-20)/(-175) - (-2)/7" }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "Let c(d) = 1 - d. Suppose -5*v = -10, 2 = -5*b - 2*v + 11. Let f = -19 + 21. Let z(w) = -2 - 16*w + 1 - f + 19*w. What is b*z(y) + 5*c(y)?" }, { "from": "gpt", "value": "2 - 2*y" } ]
[ { "from": "human", "value": "Let w be (-1*4 + 2)*3. Let s(k) = 7*k + 10. Let z(d) = -6*d - 9. Let t(l) = 3*s(l) + 4*z(l). Calculate the remainder when 22 is divided by t(w)." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let t(h) = -3*h - 6 + 0 - 3*h. Let c(q) be the second derivative of -5*q**3/6 - 5*q**2/2 - q. Let g(k) = -4*c(k) + 3*t(k). What is the derivative of g(s) wrt s?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify (sqrt(30) + sqrt(300)/(sqrt(10)*-2 + sqrt(10)) + sqrt(30))/sqrt(6)." }, { "from": "gpt", "value": "sqrt(5)" } ]
[ { "from": "human", "value": "List the prime factors of 16336919." }, { "from": "gpt", "value": "16336919" } ]
[ { "from": "human", "value": "-214*0.5" }, { "from": "gpt", "value": "-107" } ]
[ { "from": "human", "value": "Calculate the remainder when 41394 is divided by 17." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Let q(u) = u + 9. Let j be q(0). Suppose -74 = 4*m + w, 0 = -3*m - 4*w - 45 - 17. Let v be (5/(-5))/(2/m). What is the highest common factor of v and j?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Express (-s**2 + 0*s**2 + 0*s**2)*(-4*s + 4*s - 3*s) - s**2 + s**2 + 2*s**3 - 11*s**3 + 3 + 12*s**3 - 1 in the form y*s**2 + f*s**3 + n + p*s and give y." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "In base 6, what is 2 + -3523?" }, { "from": "gpt", "value": "-3521" } ]
[ { "from": "human", "value": "Let z be 1 + 4/(-4) - -3. Calculate the remainder when 85 is divided by -4 + z - -24 - 1." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Let z(w) be the second derivative of 9*w**5/100 - 2*w**4/5 + 2*w**3/5 - 28*w. Factor z(i)." }, { "from": "gpt", "value": "3*i*(i - 2)*(3*i - 2)/5" } ]
[ { "from": "human", "value": "Let a = 21 + 4. Suppose -4*q - q = -a, 4*y + q = 17. Solve -y = -3*p + 6 for p." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the first derivative of 524*m**3*w + 1427*m**3 wrt w?" }, { "from": "gpt", "value": "524*m**3" } ]
[ { "from": "human", "value": "Which is the sixth biggest value? (a) -1 (b) -4 (c) -0.5 (d) 2/177 (e) -1/5 (f) -390" }, { "from": "gpt", "value": "f" } ]
[ { "from": "human", "value": "Is 842 a multiple of 41?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the third derivative of -3*d**2 + 6*d**3 + 5*d**2 + 4*d**2 - 3*d**2 wrt d." }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "What is 0.2469 times -0.2?" }, { "from": "gpt", "value": "-0.04938" } ]
[ { "from": "human", "value": "What is the second derivative of x**5 - 632*x**4 + 2*x**3 - 23*x - 3 wrt x?" }, { "from": "gpt", "value": "20*x**3 - 7584*x**2 + 12*x" } ]
[ { "from": "human", "value": "Let d = 18 + -21. Which is the closest to 2? (a) d (b) 1 (c) -5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "In base 6, what is -15 + -20?" }, { "from": "gpt", "value": "-35" } ]
[ { "from": "human", "value": "Let l = -0.58 - -0.5. Let u = l + -0.02. What is the closest to u in 3, 5, -1?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose -s + 3 = 2*v + 2, -5*v = -2*s + 11. Solve s*y + z - 2*z + 14 = 0, -y - 4*z = -4 for y." }, { "from": "gpt", "value": "-4" } ]