question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let x(u) = u**2 - 7*u + 14. Let i(t) = -t**3 + 10*t**2 - 16*t + 4. Let f be i(8). Let b be x(f). Solve 5*y + 7 = d, y - b*d + d - 1 = 0 for y.\n' | b'-2\n' | b'Let x(u) = u**2 - 7*u + 14. Let i(t) = -t**3 + 10*t**2 - 16*t + 4. Let f be i(8). Let b be x(f). Solve 5*y + 7 = d, y - b*d + d - 1 = 0 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'Let t(b) = -b**3 + 10*b**2 - 10*b + 3. Let o be 9/(-6)*(-42 + 36). What is t(o)?\n' | b'-6\n' | b'Let t(b) = -b**3 + 10*b**2 - 10*b + 3. Let o be 9/(-6)*(-42 + 36). What is t(o)?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify s**(-3/16)*s*s/(s*s/s**(-28)) assuming s is positive.\n' | b's**(-451/16)\n' | b'Simplify s**(-3/16)*s*s/(s*s/s**(-28)) assuming s is positive.\n' | b's**(-451/16)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 w when two letters picked without replacement from wkkkkkwwkkkk.\n' | b'9/22\n' | b'Calculate prob of picking 1 k and 1 w when two letters picked without replacement from wkkkkkwwkkkk.\n' | b'9/22\n' | deepmind/math_dataset |
b'Let b(z) be the first derivative of z**4/4 + 5*z**3/3 - 4*z**2 - 3*z + 1. Let j be b(-6). Let y = -7 + j. Solve -y*d + 10 = -2*r, -3 = -3*d + 3*r - 6*r for d.\n' | b'3\n' | b'Let b(z) be the first derivative of z**4/4 + 5*z**3/3 - 4*z**2 - 3*z + 1. Let j be b(-6). Let y = -7 + j. Solve -y*d + 10 = -2*r, -3 = -3*d + 3*r - 6*r for d.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 10, i: 10}. What is prob of picking 1 i and 2 f?\n' | b'15/38\n' | b'Three letters picked without replacement from {f: 10, i: 10}. What is prob of picking 1 i and 2 f?\n' | b'15/38\n' | deepmind/math_dataset |
b'Let t(p) = 2*p + 4. Suppose -5*j + 52 = -23. Suppose -5 - j = 4*f. Determine t(f).\n' | b'-6\n' | b'Let t(p) = 2*p + 4. Suppose -5*j + 52 = -23. Suppose -5 - j = 4*f. Determine t(f).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((b/(((b*b/(b**7*b))/b)/b))/((b**(1/6)*b*b)/b))/(b/(b/(b/((b/b**(1/3)*b)/b))))**7)**(-22) assuming b is positive.\n' | b'b**(-121)\n' | b'Simplify (((b/(((b*b/(b**7*b))/b)/b))/((b**(1/6)*b*b)/b))/(b/(b/(b/((b/b**(1/3)*b)/b))))**7)**(-22) assuming b is positive.\n' | b'b**(-121)\n' | deepmind/math_dataset |
b'Let v(r) = r**3 - 7*r**2 + 5. Suppose -3*d - 4*h + 9 = -0*d, 3*d - 3*h - 30 = 0. Let g be v(d). Find the second derivative of g - 19*l**3 + 17*l - 5 wrt l.\n' | b'-114*l\n' | b'Let v(r) = r**3 - 7*r**2 + 5. Suppose -3*d - 4*h + 9 = -0*d, 3*d - 3*h - 30 = 0. Let g be v(d). Find the second derivative of g - 19*l**3 + 17*l - 5 wrt l.\n' | b'-114*l\n' | deepmind/math_dataset |
b'Suppose 2*m - 20 = 2*z - 5*z, 50 = 5*m - 4*z. Suppose 0 + 0 = u. Suppose -2*c + m + 12 = u. Solve 2*v = -0*n + n + c, -n - 14 = -3*v for v.\n' | b'3\n' | b'Suppose 2*m - 20 = 2*z - 5*z, 50 = 5*m - 4*z. Suppose 0 + 0 = u. Suppose -2*c + m + 12 = u. Solve 2*v = -0*n + n + c, -n - 14 = -3*v for v.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence rsi when three letters picked without replacement from erisqsa?\n' | b'1/105\n' | b'What is prob of sequence rsi when three letters picked without replacement from erisqsa?\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify (r/r**(2/3))**(-19)*r**6/(r/(r/r**(-2))) assuming r is positive.\n' | b'r**(5/3)\n' | b'Simplify (r/r**(2/3))**(-19)*r**6/(r/(r/r**(-2))) assuming r is positive.\n' | b'r**(5/3)\n' | deepmind/math_dataset |
b'Let j(g) be the first derivative of 57*g**2 + 702*g + 534. What is the first derivative of j(t) wrt t?\n' | b'114\n' | b'Let j(g) be the first derivative of 57*g**2 + 702*g + 534. What is the first derivative of j(t) wrt t?\n' | b'114\n' | deepmind/math_dataset |
b'Calculate prob of sequence ha when two letters picked without replacement from {a: 1, t: 1, y: 5, h: 3, m: 1}.\n' | b'3/110\n' | b'Calculate prob of sequence ha when two letters picked without replacement from {a: 1, t: 1, y: 5, h: 3, m: 1}.\n' | b'3/110\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 1, x: 2, w: 1, t: 2, d: 1, k: 2}. What is prob of sequence xlt?\n' | b'1/126\n' | b'Three letters picked without replacement from {l: 1, x: 2, w: 1, t: 2, d: 1, k: 2}. What is prob of sequence xlt?\n' | b'1/126\n' | deepmind/math_dataset |
b'Differentiate 0 - 7 + 3*p - 3*p - p**3 with respect to p.\n' | b'-3*p**2\n' | b'Differentiate 0 - 7 + 3*p - 3*p - p**3 with respect to p.\n' | b'-3*p**2\n' | deepmind/math_dataset |
b'Let c(a) be the first derivative of -2570*a**3/3 - 1447*a**2 - 587. What is the second derivative of c(p) wrt p?\n' | b'-5140\n' | b'Let c(a) be the first derivative of -2570*a**3/3 - 1447*a**2 - 587. What is the second derivative of c(p) wrt p?\n' | b'-5140\n' | deepmind/math_dataset |
b'What is prob of sequence cy when two letters picked without replacement from {y: 4, z: 5, q: 2, c: 4, w: 2, p: 2}?\n' | b'8/171\n' | b'What is prob of sequence cy when two letters picked without replacement from {y: 4, z: 5, q: 2, c: 4, w: 2, p: 2}?\n' | b'8/171\n' | deepmind/math_dataset |
b'What is prob of sequence kxk when three letters picked without replacement from vmkkokkmmommxxmoxm?\n' | b'1/136\n' | b'What is prob of sequence kxk when three letters picked without replacement from vmkkokkmmommxxmoxm?\n' | b'1/136\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l, 1 h, 1 w, and 1 d when four letters picked without replacement from {m: 1, w: 1, d: 6, l: 2, h: 2}.\n' | b'8/165\n' | b'Calculate prob of picking 1 l, 1 h, 1 w, and 1 d when four letters picked without replacement from {m: 1, w: 1, d: 6, l: 2, h: 2}.\n' | b'8/165\n' | deepmind/math_dataset |
b'What is prob of sequence ptto when four letters picked without replacement from {p: 2, t: 3, o: 12}?\n' | b'3/1190\n' | b'What is prob of sequence ptto when four letters picked without replacement from {p: 2, t: 3, o: 12}?\n' | b'3/1190\n' | deepmind/math_dataset |
b'Let p be ((-1)/(-1)*-32)/(-2). Let r = p - 11. Solve -3*k + 1 = 4*s + 2*k, 5*k = -r*s for s.\n' | b'-1\n' | b'Let p be ((-1)/(-1)*-32)/(-2). Let r = p - 11. Solve -3*k + 1 = 4*s + 2*k, 5*k = -r*s for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, n: 2}. Give prob of sequence nd.\n' | b'3/10\n' | b'Two letters picked without replacement from {d: 3, n: 2}. Give prob of sequence nd.\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify ((d*d/(d*d*d*d/d**(-1/2)))/d)/d*d**(-12/13) assuming d is positive.\n' | b'd**(-141/26)\n' | b'Simplify ((d*d/(d*d*d*d/d**(-1/2)))/d)/d*d**(-12/13) assuming d is positive.\n' | b'd**(-141/26)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, j: 1, w: 1, d: 1}. What is prob of picking 2 q?\n' | b'1/10\n' | b'Two letters picked without replacement from {q: 2, j: 1, w: 1, d: 1}. What is prob of picking 2 q?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let q be (2/(-3))/(-8*(-9)/108). Let p be 1/(2 + q) + (-6 - -7). Solve -4*t = -w + 5, -3*w - p*w + 1 = 4*t for w.\n' | b'1\n' | b'Let q be (2/(-3))/(-8*(-9)/108). Let p be 1/(2 + q) + (-6 - -7). Solve -4*t = -w + 5, -3*w - p*w + 1 = 4*t for w.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence cu when two letters picked without replacement from aaaccaautucccactcua?\n' | b'7/114\n' | b'What is prob of sequence cu when two letters picked without replacement from aaaccaautucccactcua?\n' | b'7/114\n' | deepmind/math_dataset |
b'Let m = -151 - -153. Suppose -v = -4*x - 30, -3*v + v + 4 = -x. Let o(n) = n**2 + 8*n + 3. Let q be o(x). Solve m*l + q*r - 14 + 2 = 0, 2*r = -2*l + 8 for l.\n' | b'0\n' | b'Let m = -151 - -153. Suppose -v = -4*x - 30, -3*v + v + 4 = -x. Let o(n) = n**2 + 8*n + 3. Let q be o(x). Solve m*l + q*r - 14 + 2 = 0, 2*r = -2*l + 8 for l.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(j) be the first derivative of -711*j**4/4 - 3*j**2/2 - 85*j + 123. Find the second derivative of r(o) wrt o.\n' | b'-4266*o\n' | b'Let r(j) be the first derivative of -711*j**4/4 - 3*j**2/2 - 85*j + 123. Find the second derivative of r(o) wrt o.\n' | b'-4266*o\n' | deepmind/math_dataset |
b'What is the third derivative of -372056*u + 2 + 5253*u**6 + 372056*u + 10530*u**2 - 2 wrt u?\n' | b'630360*u**3\n' | b'What is the third derivative of -372056*u + 2 + 5253*u**6 + 372056*u + 10530*u**2 - 2 wrt u?\n' | b'630360*u**3\n' | deepmind/math_dataset |
b'Suppose -5*j - 5 - 5 = 0. Let r = 2 - j. Suppose -30 = -2*s + r*f, -s - 3*f + 0*f - 10 = 0. Let k(y) = 2*y - 7. Calculate k(s).\n' | b'3\n' | b'Suppose -5*j - 5 - 5 = 0. Let r = 2 - j. Suppose -30 = -2*s + r*f, -s - 3*f + 0*f - 10 = 0. Let k(y) = 2*y - 7. Calculate k(s).\n' | b'3\n' | deepmind/math_dataset |
b'Let v(l) = -l**3 - 6*l**2 - 2*l - 7. Let s be v(-6). Let r(b) be the first derivative of -b**4/4 + 2*b**3 - 2*b**2 + 3*b - 521. What is r(s)?\n' | b'8\n' | b'Let v(l) = -l**3 - 6*l**2 - 2*l - 7. Let s be v(-6). Let r(b) be the first derivative of -b**4/4 + 2*b**3 - 2*b**2 + 3*b - 521. What is r(s)?\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {k: 7, v: 5}.\n' | b'35/66\n' | b'Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {k: 7, v: 5}.\n' | b'35/66\n' | deepmind/math_dataset |
b'Let f be (-7 + 6)*(1 - 0). Let v(s) = -3*s**3 + s**2 + 2*s + 1. Let x(q) = q**3 - q**2 - q - 1. Let a(j) = f*x(j) - v(j). Give a(2).\n' | b'14\n' | b'Let f be (-7 + 6)*(1 - 0). Let v(s) = -3*s**3 + s**2 + 2*s + 1. Let x(q) = q**3 - q**2 - q - 1. Let a(j) = f*x(j) - v(j). Give a(2).\n' | b'14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uuuurururruru. What is prob of picking 2 r and 1 u?\n' | b'40/143\n' | b'Three letters picked without replacement from uuuurururruru. What is prob of picking 2 r and 1 u?\n' | b'40/143\n' | deepmind/math_dataset |
b'Suppose -3*k + 11 = -19. Let q be (-4 + 2)*30/(-4). Let y = q - k. Solve -20 = 5*f, m - 3*m + y*f = -20 for m.\n' | b'0\n' | b'Suppose -3*k + 11 = -19. Let q be (-4 + 2)*30/(-4). Let y = q - k. Solve -20 = 5*f, m - 3*m + y*f = -20 for m.\n' | b'0\n' | deepmind/math_dataset |
b'Let w = -20 + 24. Solve w*y - s = 0, 0 = 4*y + y + s + 9 for y.\n' | b'-1\n' | b'Let w = -20 + 24. Solve w*y - s = 0, 0 = 4*y + y + s + 9 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Let g(u) = -18*u + 613. Let d be g(34). Let z(r) be the third derivative of -r**5/15 - r**4/12 + r**3/6 - r**2. Give z(d).\n' | b'-5\n' | b'Let g(u) = -18*u + 613. Let d be g(34). Let z(r) be the third derivative of -r**5/15 - r**4/12 + r**3/6 - r**2. Give z(d).\n' | b'-5\n' | deepmind/math_dataset |
b'Let f = -166 - -172. Solve k + 2*i - 13 = f*i, -5*k + 21 = 2*i for k.\n' | b'5\n' | b'Let f = -166 - -172. Solve k + 2*i - 13 = f*i, -5*k + 21 = 2*i for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let z = 18 + 12. What is the second derivative of 93*i**3 + 82*i**3 - 166*i**3 - z*i wrt i?\n' | b'54*i\n' | b'Let z = 18 + 12. What is the second derivative of 93*i**3 + 82*i**3 - 166*i**3 - z*i wrt i?\n' | b'54*i\n' | deepmind/math_dataset |
b'Find the first derivative of 29*n + 25 - 18*n - 16*n wrt n.\n' | b'-5\n' | b'Find the first derivative of 29*n + 25 - 18*n - 16*n wrt n.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify a**(2/27)/(((a**(-1/9)*a)/a)/a)*a**6/(a/((a**(-4/7)/a)/a*a*a)) assuming a is positive.\n' | b'a**(1061/189)\n' | b'Simplify a**(2/27)/(((a**(-1/9)*a)/a)/a)*a**6/(a/((a**(-4/7)/a)/a*a*a)) assuming a is positive.\n' | b'a**(1061/189)\n' | deepmind/math_dataset |
b'Let j(l) be the first derivative of -l**4/2 - 2*l**3/3 + l**2 + 2*l - 108. Suppose -g + 3*q - 2 = 0, -g = -5*q - 0 + 2. Calculate j(g).\n' | b'6\n' | b'Let j(l) be the first derivative of -l**4/2 - 2*l**3/3 + l**2 + 2*l - 108. Suppose -g + 3*q - 2 = 0, -g = -5*q - 0 + 2. Calculate j(g).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence mffn when four letters picked without replacement from {n: 1, f: 3, a: 2, q: 1, m: 4}?\n' | b'1/330\n' | b'What is prob of sequence mffn when four letters picked without replacement from {n: 1, f: 3, a: 2, q: 1, m: 4}?\n' | b'1/330\n' | deepmind/math_dataset |
b'Let z = 341 - 322. Solve z = -3*o - 2*j, 5*o + 5*j - 2*j + 30 = 0 for o.\n' | b'-3\n' | b'Let z = 341 - 322. Solve z = -3*o - 2*j, 5*o + 5*j - 2*j + 30 = 0 for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify p*p*p**(9/5)/p*p**(1/8) assuming p is positive.\n' | b'p**(117/40)\n' | b'Simplify p*p*p**(9/5)/p*p**(1/8) assuming p is positive.\n' | b'p**(117/40)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 g when three letters picked without replacement from {s: 2, g: 7, f: 7}.\n' | b'1/16\n' | b'Calculate prob of picking 3 g when three letters picked without replacement from {s: 2, g: 7, f: 7}.\n' | b'1/16\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, e: 1, f: 2, n: 9, k: 3, l: 3}. Give prob of sequence hfh.\n' | b'0\n' | b'Three letters picked without replacement from {h: 1, e: 1, f: 2, n: 9, k: 3, l: 3}. Give prob of sequence hfh.\n' | b'0\n' | deepmind/math_dataset |
b'What is the third derivative of 0*z**2 - 11*z - z**3 + 197*z**4 + 2*z**2 + 3*z - 176*z**4 wrt z?\n' | b'504*z - 6\n' | b'What is the third derivative of 0*z**2 - 11*z - z**3 + 197*z**4 + 2*z**2 + 3*z - 176*z**4 wrt z?\n' | b'504*z - 6\n' | deepmind/math_dataset |
b'Simplify s*s**37*s*s*s**(1/39)*s**(-33)/((s*s**1)/s) assuming s is positive.\n' | b's**(235/39)\n' | b'Simplify s*s**37*s*s*s**(1/39)*s**(-33)/((s*s**1)/s) assuming s is positive.\n' | b's**(235/39)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lftaat. Give prob of sequence tlf.\n' | b'1/60\n' | b'Three letters picked without replacement from lftaat. Give prob of sequence tlf.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify q*q*(q/q**5)/q*q**20 assuming q is positive.\n' | b'q**17\n' | b'Simplify q*q*(q/q**5)/q*q**20 assuming q is positive.\n' | b'q**17\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 f when four letters picked without replacement from hfhffhhkfhf.\n' | b'1/66\n' | b'Calculate prob of picking 4 f when four letters picked without replacement from hfhffhhkfhf.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let y(j) = j**2 - 2*j. Let s be y(0). Let q(w) be the first derivative of -1/4*w**4 + 2*w + s*w**2 + 2 + 0*w**3. What is the first derivative of q(a) wrt a?\n' | b'-3*a**2\n' | b'Let y(j) = j**2 - 2*j. Let s be y(0). Let q(w) be the first derivative of -1/4*w**4 + 2*w + s*w**2 + 2 + 0*w**3. What is the first derivative of q(a) wrt a?\n' | b'-3*a**2\n' | deepmind/math_dataset |
b'Let v(y) = -6*y - 1. Let q(a) = 3*a + 1. Let f(o) = -5*q(o) - 2*v(o). Let g = -121 - -118. What is f(g)?\n' | b'6\n' | b'Let v(y) = -6*y - 1. Let q(a) = 3*a + 1. Let f(o) = -5*q(o) - 2*v(o). Let g = -121 - -118. What is f(g)?\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nessonueg. What is prob of sequence su?\n' | b'1/36\n' | b'Two letters picked without replacement from nessonueg. What is prob of sequence su?\n' | b'1/36\n' | deepmind/math_dataset |
b'Let k(z) = 5*z + 6. Let l be (-7)/(42/(-4))*90/(-12). Calculate k(l).\n' | b'-19\n' | b'Let k(z) = 5*z + 6. Let l be (-7)/(42/(-4))*90/(-12). Calculate k(l).\n' | b'-19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fvfffvveffefeefefem. What is prob of picking 2 e and 1 v?\n' | b'15/323\n' | b'Three letters picked without replacement from fvfffvveffefeefefem. What is prob of picking 2 e and 1 v?\n' | b'15/323\n' | deepmind/math_dataset |
b'Suppose 2*y + 2*y - 36 = 0. Suppose -t + 4*t + y = 0. Let q = 7 - t. Solve -5*n - 2*z = 3, -7*n + 5*z - q = -2*n for n.\n' | b'-1\n' | b'Suppose 2*y + 2*y - 36 = 0. Suppose -t + 4*t + y = 0. Let q = 7 - t. Solve -5*n - 2*z = 3, -7*n + 5*z - q = -2*n for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let k(q) be the second derivative of 173*q**4/2 + 425*q**3/6 - 377*q. What is the second derivative of k(a) wrt a?\n' | b'2076\n' | b'Let k(q) be the second derivative of 173*q**4/2 + 425*q**3/6 - 377*q. What is the second derivative of k(a) wrt a?\n' | b'2076\n' | deepmind/math_dataset |
b'Simplify z*z*z**25*z**(-24) assuming z is positive.\n' | b'z**3\n' | b'Simplify z*z*z**25*z**(-24) assuming z is positive.\n' | b'z**3\n' | deepmind/math_dataset |
b'Simplify (g/(g/(g*(g*g**1)/g*g))*g)**(-1/15)/(g**(-1/3)/((g/((g*g/((g/(g*g**(-1)))/g))/g))/g)) assuming g is positive.\n' | b'g**(-14/15)\n' | b'Simplify (g/(g/(g*(g*g**1)/g*g))*g)**(-1/15)/(g**(-1/3)/((g/((g*g/((g/(g*g**(-1)))/g))/g))/g)) assuming g is positive.\n' | b'g**(-14/15)\n' | deepmind/math_dataset |
b'Suppose 3*i = -i. Let z(a) be the third derivative of a**5/60 - a**4/24 + a**3/6 + 17*a**2. Determine z(i).\n' | b'1\n' | b'Suppose 3*i = -i. Let z(a) be the third derivative of a**5/60 - a**4/24 + a**3/6 + 17*a**2. Determine z(i).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzzkkzzzkzkkzzkzzzz. What is prob of sequence zz?\n' | b'26/57\n' | b'Two letters picked without replacement from zzzkkzzzkzkkzzkzzzz. What is prob of sequence zz?\n' | b'26/57\n' | deepmind/math_dataset |
b'Let l be -12 - 49/(-7) - -7. Let y(z) be the third derivative of -9*z**l + 0*z + 0 + 0*z**4 + 4/3*z**3 + 3/20*z**5. What is the first derivative of y(b) wrt b?\n' | b'18*b\n' | b'Let l be -12 - 49/(-7) - -7. Let y(z) be the third derivative of -9*z**l + 0*z + 0 + 0*z**4 + 4/3*z**3 + 3/20*z**5. What is the first derivative of y(b) wrt b?\n' | b'18*b\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 5, m: 3, i: 4}. What is prob of sequence immm?\n' | b'1/495\n' | b'Four letters picked without replacement from {k: 5, m: 3, i: 4}. What is prob of sequence immm?\n' | b'1/495\n' | deepmind/math_dataset |
b'Let f = 15 - 10. Solve -i + 5*j = 2*i + 4, f*i + 3*j = 16 for i.\n' | b'2\n' | b'Let f = 15 - 10. Solve -i + 5*j = 2*i + 4, f*i + 3*j = 16 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Let i(x) = 2*x**2 + 4*x. Let r be i(-4). Let f = r - 9. Solve 0 = -2*h, -9 = -4*q - 2*h + f for q.\n' | b'4\n' | b'Let i(x) = 2*x**2 + 4*x. Let r be i(-4). Let f = r - 9. Solve 0 = -2*h, -9 = -4*q - 2*h + f for q.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 1, v: 1, i: 1, x: 1, p: 6, k: 1}. What is prob of picking 1 x, 1 v, and 2 p?\n' | b'1/22\n' | b'Four letters picked without replacement from {d: 1, v: 1, i: 1, x: 1, p: 6, k: 1}. What is prob of picking 1 x, 1 v, and 2 p?\n' | b'1/22\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yyljyjj. Give prob of sequence ylj.\n' | b'3/70\n' | b'Three letters picked without replacement from yyljyjj. Give prob of sequence ylj.\n' | b'3/70\n' | deepmind/math_dataset |
b'Let j(p) be the third derivative of -p**6/30 - 67*p**5/60 + 2119*p**4/24 + 883*p**2. What is the second derivative of j(d) wrt d?\n' | b'-24*d - 134\n' | b'Let j(p) be the third derivative of -p**6/30 - 67*p**5/60 + 2119*p**4/24 + 883*p**2. What is the second derivative of j(d) wrt d?\n' | b'-24*d - 134\n' | deepmind/math_dataset |
b'Let d = 8 + -3. Let q be 2/(-6) + 130/30. Solve 10 = -d*h + 3*h + 2*v, 3*h - q*v = -19 for h.\n' | b'-1\n' | b'Let d = 8 + -3. Let q be 2/(-6) + 130/30. Solve 10 = -d*h + 3*h + 2*v, 3*h - q*v = -19 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify n*n**5*n**3*(n**1)**42 assuming n is positive.\n' | b'n**51\n' | b'Simplify n*n**5*n**3*(n**1)**42 assuming n is positive.\n' | b'n**51\n' | deepmind/math_dataset |
b'Simplify (m**(-1/3))**(-23)/((m**(4/5)*m)/m**(1/6))*((m**3)**(-23))**11 assuming m is positive.\n' | b'm**(-22589/30)\n' | b'Simplify (m**(-1/3))**(-23)/((m**(4/5)*m)/m**(1/6))*((m**3)**(-23))**11 assuming m is positive.\n' | b'm**(-22589/30)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yybyblbybl. What is prob of picking 1 y and 3 b?\n' | b'8/105\n' | b'Four letters picked without replacement from yybyblbybl. What is prob of picking 1 y and 3 b?\n' | b'8/105\n' | deepmind/math_dataset |
b'Let v(c) be the second derivative of 2*c**6/15 - 11*c**2/2 + 4*c. Find the first derivative of v(m) wrt m.\n' | b'16*m**3\n' | b'Let v(c) be the second derivative of 2*c**6/15 - 11*c**2/2 + 4*c. Find the first derivative of v(m) wrt m.\n' | b'16*m**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence wnw when three letters picked without replacement from wnnwwwwwwwwnww.\n' | b'55/364\n' | b'Calculate prob of sequence wnw when three letters picked without replacement from wnnwwwwwwwwnww.\n' | b'55/364\n' | deepmind/math_dataset |
b'What is prob of sequence wy when two letters picked without replacement from {s: 6, w: 1, y: 3, d: 2, x: 2}?\n' | b'3/182\n' | b'What is prob of sequence wy when two letters picked without replacement from {s: 6, w: 1, y: 3, d: 2, x: 2}?\n' | b'3/182\n' | deepmind/math_dataset |
b'Simplify ((l*l**(1/9))/l)/l**(-49)*l**(6/5)*l**(-32/5) assuming l is positive.\n' | b'l**(1976/45)\n' | b'Simplify ((l*l**(1/9))/l)/l**(-49)*l**(6/5)*l**(-32/5) assuming l is positive.\n' | b'l**(1976/45)\n' | deepmind/math_dataset |
b'Let t(d) be the second derivative of -10*d**4/3 - 35*d**3/6 + 39*d. What is the second derivative of t(s) wrt s?\n' | b'-80\n' | b'Let t(d) be the second derivative of -10*d**4/3 - 35*d**3/6 + 39*d. What is the second derivative of t(s) wrt s?\n' | b'-80\n' | deepmind/math_dataset |
b'Let d be 17271/4275 - (-3)/(-75). Solve 0 = 3*j + 3*f - d + 22, -j + 2*f = -3 for j.\n' | b'-3\n' | b'Let d be 17271/4275 - (-3)/(-75). Solve 0 = 3*j + 3*f - d + 22, -j + 2*f = -3 for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 2, c: 1, y: 7, b: 6, h: 1}. What is prob of picking 1 c and 3 b?\n' | b'1/119\n' | b'Four letters picked without replacement from {r: 2, c: 1, y: 7, b: 6, h: 1}. What is prob of picking 1 c and 3 b?\n' | b'1/119\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dsammstttddtmdattt. What is prob of picking 2 m and 2 a?\n' | b'1/1020\n' | b'Four letters picked without replacement from dsammstttddtmdattt. What is prob of picking 2 m and 2 a?\n' | b'1/1020\n' | deepmind/math_dataset |
b'Simplify (v**35*v)/v**36 assuming v is positive.\n' | b'1\n' | b'Simplify (v**35*v)/v**36 assuming v is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (w**6/(w*(w*w**(2/5))/w))**(-12)*((w*w**(-4)*w)/w**(2/7))/(w**(-2/3)/(w/(w*w/(w/(w**3/w))*w))) assuming w is positive.\n' | b'w**(-6281/105)\n' | b'Simplify (w**6/(w*(w*w**(2/5))/w))**(-12)*((w*w**(-4)*w)/w**(2/7))/(w**(-2/3)/(w/(w*w/(w/(w**3/w))*w))) assuming w is positive.\n' | b'w**(-6281/105)\n' | deepmind/math_dataset |
b'Suppose 19 = -2*q + 1. Let i(m) = -4*m + 9. Let x(p) = -p + 2. Let w(n) = q*x(n) + 2*i(n). Suppose -5*b = -r - 0*r + 15, -r + b - 1 = 0. Give w(r).\n' | b'-5\n' | b'Suppose 19 = -2*q + 1. Let i(m) = -4*m + 9. Let x(p) = -p + 2. Let w(n) = q*x(n) + 2*i(n). Suppose -5*b = -r - 0*r + 15, -r + b - 1 = 0. Give w(r).\n' | b'-5\n' | deepmind/math_dataset |
b'Let j be (-13 + 0)*(1 - 2). Let h(v) = -v**2 - 6*v - 7. Let q be h(-6). Let x = 12 + q. Solve -5*y + 4*t = 21, 0 = 2*y - x*y - 4*t + j for y.\n' | b'-1\n' | b'Let j be (-13 + 0)*(1 - 2). Let h(v) = -v**2 - 6*v - 7. Let q be h(-6). Let x = 12 + q. Solve -5*y + 4*t = 21, 0 = 2*y - x*y - 4*t + j for y.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxxxxxmxxxm. Give prob of picking 2 x and 1 m.\n' | b'24/55\n' | b'Three letters picked without replacement from xxxxxxmxxxm. Give prob of picking 2 x and 1 m.\n' | b'24/55\n' | deepmind/math_dataset |
b'What is prob of sequence kek when three letters picked without replacement from ckmekmemckm?\n' | b'2/165\n' | b'What is prob of sequence kek when three letters picked without replacement from ckmekmemckm?\n' | b'2/165\n' | deepmind/math_dataset |
b'Simplify (n**(-1/2))**(6/17)*(n*n**(2/7)*n)/(n/(n/n**(-1)))*((n**(-2))**(-19))**(-27) assuming n is positive.\n' | b'n**(-121724/119)\n' | b'Simplify (n**(-1/2))**(6/17)*(n*n**(2/7)*n)/(n/(n/n**(-1)))*((n**(-2))**(-19))**(-27) assuming n is positive.\n' | b'n**(-121724/119)\n' | deepmind/math_dataset |
b'Simplify (p*p**4*p)**(-5)/(p**4)**(21/5) assuming p is positive.\n' | b'p**(-234/5)\n' | b'Simplify (p*p**4*p)**(-5)/(p**4)**(21/5) assuming p is positive.\n' | b'p**(-234/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 1, x: 7, g: 1, o: 3}. What is prob of sequence xxpg?\n' | b'7/1980\n' | b'Four letters picked without replacement from {p: 1, x: 7, g: 1, o: 3}. What is prob of sequence xxpg?\n' | b'7/1980\n' | deepmind/math_dataset |
b'Suppose 4*s - 2*g = 8, s - 7*g = -3*g - 5. Suppose b + 1 - s = 0. Solve -u - 13 = -b*u - 4*r, -3*r + 12 = 0 for u.\n' | b'-3\n' | b'Suppose 4*s - 2*g = 8, s - 7*g = -3*g - 5. Suppose b + 1 - s = 0. Solve -u - 13 = -b*u - 4*r, -3*r + 12 = 0 for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -3*w = 2*m - 8, -5*m + 10 = w - 10. Let y = 9 - m. Let b be 60/270 + (-129)/(-27) + -1. Solve y*f - b*u = 7, u = 2*f + f for f.\n' | b'-1\n' | b'Suppose -3*w = 2*m - 8, -5*m + 10 = w - 10. Let y = 9 - m. Let b be 60/270 + (-129)/(-27) + -1. Solve y*f - b*u = 7, u = 2*f + f for f.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 2 s and 1 e when three letters picked without replacement from tbetststtc?\n' | b'1/120\n' | b'What is prob of picking 2 s and 1 e when three letters picked without replacement from tbetststtc?\n' | b'1/120\n' | deepmind/math_dataset |
b'Calculate prob of sequence uqqq when four letters picked without replacement from bqqqqququqqqquqqq.\n' | b'429/4760\n' | b'Calculate prob of sequence uqqq when four letters picked without replacement from bqqqqququqqqquqqq.\n' | b'429/4760\n' | deepmind/math_dataset |
b'Let c be (-5)/15 + (-7)/(-3). Solve -3*a + c*d + d = -12, 5*a - d = 12 for a.\n' | b'2\n' | b'Let c be (-5)/15 + (-7)/(-3). Solve -3*a + c*d + d = -12, 5*a - d = 12 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Let p(a) = a**3 - 9*a**2 + 6*a + 7. Let n(t) = 2*t**3 - 19*t**2 + 13*t + 14. Let h(l) = 3*n(l) - 7*p(l). Determine h(5).\n' | b'3\n' | b'Let p(a) = a**3 - 9*a**2 + 6*a + 7. Let n(t) = 2*t**3 - 19*t**2 + 13*t + 14. Let h(l) = 3*n(l) - 7*p(l). Determine h(5).\n' | b'3\n' | deepmind/math_dataset |
b'Differentiate -873*b**4 + 307*b**2 + 874 - 919*b**2 + 308*b**2 + 304*b**2 with respect to b.\n' | b'-3492*b**3\n' | b'Differentiate -873*b**4 + 307*b**2 + 874 - 919*b**2 + 308*b**2 + 304*b**2 with respect to b.\n' | b'-3492*b**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 3, n: 2, y: 4}. What is prob of picking 1 n, 1 y, and 2 d?\n' | b'4/21\n' | b'Four letters picked without replacement from {d: 3, n: 2, y: 4}. What is prob of picking 1 n, 1 y, and 2 d?\n' | b'4/21\n' | deepmind/math_dataset |
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