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'What is prob of picking 1 l and 3 p when four letters picked without replacement from {p: 6, l: 2}?\n' | b'4/7\n' | b'What is prob of picking 1 l and 3 p when four letters picked without replacement from {p: 6, l: 2}?\n' | b'4/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vsyxsslkskyy. Give prob of picking 1 x, 1 k, and 1 l.\n' | b'1/110\n' | b'Three letters picked without replacement from vsyxsslkskyy. Give prob of picking 1 x, 1 k, and 1 l.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 k when two letters picked without replacement from xkhkhkxxx.\n' | b'1/6\n' | b'Calculate prob of picking 1 h and 1 k when two letters picked without replacement from xkhkhkxxx.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify n/(n*n**(1/3)*n*n)*n**2*((n/n**(1/2))/n)**(7/6) assuming n is positive.\n' | b'n**(-11/12)\n' | b'Simplify n/(n*n**(1/3)*n*n)*n**2*((n/n**(1/2))/n)**(7/6) assuming n is positive.\n' | b'n**(-11/12)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 7, b: 2, m: 5}. What is prob of sequence tmbm?\n' | b'5/429\n' | b'Four letters picked without replacement from {t: 7, b: 2, m: 5}. What is prob of sequence tmbm?\n' | b'5/429\n' | deepmind/math_dataset |
b'Let h be 2/((-6)/(-33)*1). Let t = h + -8. Suppose -q = -3*i + 13 - t, -2*i - 3*q = -25. Solve i*l + 5*m = -20, 5*l - 4*m = -0*m - 2 for l.\n' | b'-2\n' | b'Let h be 2/((-6)/(-33)*1). Let t = h + -8. Suppose -q = -3*i + 13 - t, -2*i - 3*q = -25. Solve i*l + 5*m = -20, 5*l - 4*m = -0*m - 2 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Let q(i) = -i**2 - 6*i - 2. Let v be q(-5). Solve j + 2 + v = 0, 3*j = -h - 17 for h.\n' | b'-2\n' | b'Let q(i) = -i**2 - 6*i - 2. Let v be q(-5). Solve j + 2 + v = 0, 3*j = -h - 17 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'Let a(d) be the first derivative of 0*d**2 + 1 - 1/6*d**4 + 0*d - 1/3*d**3 - 1/120*d**5. Let m(f) be the third derivative of a(f). What is m(-3)?\n' | b'-1\n' | b'Let a(d) be the first derivative of 0*d**2 + 1 - 1/6*d**4 + 0*d - 1/3*d**3 - 1/120*d**5. Let m(f) be the third derivative of a(f). What is m(-3)?\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence sfh when three letters picked without replacement from hsfhhhbhfhhbhbb.\n' | b'8/1365\n' | b'Calculate prob of sequence sfh when three letters picked without replacement from hsfhhhbhfhhbhbb.\n' | b'8/1365\n' | deepmind/math_dataset |
b'Let z be 2 + (-4 - 8/4). Let s(v) = -1 - v**2 - 6*v - 1 + 0. Determine s(z).\n' | b'6\n' | b'Let z be 2 + (-4 - 8/4). Let s(v) = -1 - v**2 - 6*v - 1 + 0. Determine s(z).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence jjjp when four letters picked without replacement from ljljjljlljppll.\n' | b'5/1001\n' | b'Calculate prob of sequence jjjp when four letters picked without replacement from ljljjljlljppll.\n' | b'5/1001\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 2, j: 1, x: 1, p: 2, m: 1, d: 1}. Give prob of sequence xpd.\n' | b'1/168\n' | b'Three letters picked without replacement from {w: 2, j: 1, x: 1, p: 2, m: 1, d: 1}. Give prob of sequence xpd.\n' | b'1/168\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sbzbb. What is prob of picking 1 z and 1 s?\n' | b'1/10\n' | b'Two letters picked without replacement from sbzbb. What is prob of picking 1 z and 1 s?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let m(k) = 6*k**6 - 5*k**4 + 19*k**2 - 5*k. Let j(y) = y**4 - y**2 + y. Let n(v) = 5*j(v) + m(v). What is the third derivative of n(h) wrt h?\n' | b'720*h**3\n' | b'Let m(k) = 6*k**6 - 5*k**4 + 19*k**2 - 5*k. Let j(y) = y**4 - y**2 + y. Let n(v) = 5*j(v) + m(v). What is the third derivative of n(h) wrt h?\n' | b'720*h**3\n' | deepmind/math_dataset |
b'Simplify ((z*z**(-1))/z**7)/(z**(2/31)/z**(10/7)) assuming z is positive.\n' | b'z**(-1223/217)\n' | b'Simplify ((z*z**(-1))/z**7)/(z**(2/31)/z**(10/7)) assuming z is positive.\n' | b'z**(-1223/217)\n' | deepmind/math_dataset |
b'Suppose -168 = -82*y + 78. Solve x + 4 = y*t + 3*x, t + 12 = -4*x for t.\n' | b'4\n' | b'Suppose -168 = -82*y + 78. Solve x + 4 = y*t + 3*x, t + 12 = -4*x for t.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 2*x - 3*x + 39 = 3*a, 4*a + 156 = 3*x. Find the third derivative of 4*s**4 - 28*s**3 + 3*s**2 - 3*s**2 + 2*s**2 - s**4 + x*s wrt s.\n' | b'72*s - 168\n' | b'Suppose 2*x - 3*x + 39 = 3*a, 4*a + 156 = 3*x. Find the third derivative of 4*s**4 - 28*s**3 + 3*s**2 - 3*s**2 + 2*s**2 - s**4 + x*s wrt s.\n' | b'72*s - 168\n' | deepmind/math_dataset |
b'Simplify ((a/(a*(a*a**12)/a))**15)**(-14/11) assuming a is positive.\n' | b'a**(2520/11)\n' | b'Simplify ((a/(a*(a*a**12)/a))**15)**(-14/11) assuming a is positive.\n' | b'a**(2520/11)\n' | deepmind/math_dataset |
b'Simplify (p**(-2/5))**(2/25)/(p/p**(1/11)*(p**15/p)/p) assuming p is positive.\n' | b'p**(-19169/1375)\n' | b'Simplify (p**(-2/5))**(2/25)/(p/p**(1/11)*(p**15/p)/p) assuming p is positive.\n' | b'p**(-19169/1375)\n' | deepmind/math_dataset |
b'Simplify (x**(-3))**(-18)*(x**7)**7 assuming x is positive.\n' | b'x**103\n' | b'Simplify (x**(-3))**(-18)*(x**7)**7 assuming x is positive.\n' | b'x**103\n' | deepmind/math_dataset |
b'Let b(j) = -1 + 3*j**2 + j**3 + 4*j - j**2 - 5*j**2. Determine b(3).\n' | b'11\n' | b'Let b(j) = -1 + 3*j**2 + j**3 + 4*j - j**2 - 5*j**2. Determine b(3).\n' | b'11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 6, x: 10, k: 2}. Give prob of picking 2 x.\n' | b'5/17\n' | b'Two letters picked without replacement from {d: 6, x: 10, k: 2}. Give prob of picking 2 x.\n' | b'5/17\n' | deepmind/math_dataset |
b'Let h be 116/24 + -3 - 1/(-6). What is the second derivative of m**5 + 5*m**5 - 2*m + 2*m - h*m wrt m?\n' | b'120*m**3\n' | b'Let h be 116/24 + -3 - 1/(-6). What is the second derivative of m**5 + 5*m**5 - 2*m + 2*m - h*m wrt m?\n' | b'120*m**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lrfgcil. What is prob of picking 1 i and 1 c?\n' | b'1/21\n' | b'Two letters picked without replacement from lrfgcil. What is prob of picking 1 i and 1 c?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let n = -62 + 92. Suppose 3*s - 26 - 4 = 4*u, 0 = 3*s + 3*u - n. Solve -i - 4*j - j = -12, 3*i = -2*j + s for i.\n' | b'2\n' | b'Let n = -62 + 92. Suppose 3*s - 26 - 4 = 4*u, 0 = 3*s + 3*u - n. Solve -i - 4*j - j = -12, 3*i = -2*j + s for i.\n' | b'2\n' | deepmind/math_dataset |
b'Let m(x) = x + 2. Suppose 3*o = 6*o - 0*o. What is m(o)?\n' | b'2\n' | b'Let m(x) = x + 2. Suppose 3*o = 6*o - 0*o. What is m(o)?\n' | b'2\n' | deepmind/math_dataset |
b'Let l(f) = -26*f**2 - 8*f - 13. Let r(p) = 13*p**2 + 4*p + 6. Let n(k) = 6*l(k) + 13*r(k). What is the second derivative of n(q) wrt q?\n' | b'26\n' | b'Let l(f) = -26*f**2 - 8*f - 13. Let r(p) = 13*p**2 + 4*p + 6. Let n(k) = 6*l(k) + 13*r(k). What is the second derivative of n(q) wrt q?\n' | b'26\n' | deepmind/math_dataset |
b'Suppose 5*o + 90 = -5*j, -j - 3*j = -4*o + 104. Let p = -20 - j. What is the third derivative of p*c**6 - 2*c**2 + c**2 + 0*c**2 + 6*c**6 wrt c?\n' | b'960*c**3\n' | b'Suppose 5*o + 90 = -5*j, -j - 3*j = -4*o + 104. Let p = -20 - j. What is the third derivative of p*c**6 - 2*c**2 + c**2 + 0*c**2 + 6*c**6 wrt c?\n' | b'960*c**3\n' | deepmind/math_dataset |
b'Let s(n) be the first derivative of -25*n**6/2 + 113*n**2 - 2*n + 429. Find the second derivative of s(q) wrt q.\n' | b'-1500*q**3\n' | b'Let s(n) be the first derivative of -25*n**6/2 + 113*n**2 - 2*n + 429. Find the second derivative of s(q) wrt q.\n' | b'-1500*q**3\n' | deepmind/math_dataset |
b'Let i(j) = 0 + 21*j - 10*j - 1. Let u be i(1). Find the first derivative of -2*y**4 + 6*y**2 - 6*y**2 + 4 - u wrt y.\n' | b'-8*y**3\n' | b'Let i(j) = 0 + 21*j - 10*j - 1. Let u be i(1). Find the first derivative of -2*y**4 + 6*y**2 - 6*y**2 + 4 - u wrt y.\n' | b'-8*y**3\n' | deepmind/math_dataset |
b'Simplify (m*m**1*m*m)**(5/17)/(m**(-1/4)/(m/(m/(m/((m*m*m**5)/m))*m)*m))*((m/(m/(m**(-2/7)*m*m)))/(m*m**4))**(-12) assuming m is positive.\n' | b'm**(17067/476)\n' | b'Simplify (m*m**1*m*m)**(5/17)/(m**(-1/4)/(m/(m/(m/((m*m*m**5)/m))*m)*m))*((m/(m/(m**(-2/7)*m*m)))/(m*m**4))**(-12) assuming m is positive.\n' | b'm**(17067/476)\n' | deepmind/math_dataset |
b'Let d(q) be the third derivative of 101*q**6/30 - 2057*q**5/60 + 727*q**2. Find the third derivative of d(l) wrt l.\n' | b'2424\n' | b'Let d(q) be the third derivative of 101*q**6/30 - 2057*q**5/60 + 727*q**2. Find the third derivative of d(l) wrt l.\n' | b'2424\n' | deepmind/math_dataset |
b'Let d(i) = -121*i - 119*i - 3 + 28 + 368*i - 119*i. Calculate d(3).\n' | b'52\n' | b'Let d(i) = -121*i - 119*i - 3 + 28 + 368*i - 119*i. Calculate d(3).\n' | b'52\n' | deepmind/math_dataset |
b'Let q be ((-573)/(-9) - 0) + (-1)/(-3). Suppose -144 + q = -10*l. Solve -4*g - 5*j + 8 = 0, 6*g - 3*j = 2*g + l for g.\n' | b'2\n' | b'Let q be ((-573)/(-9) - 0) + (-1)/(-3). Suppose -144 + q = -10*l. Solve -4*g - 5*j + 8 = 0, 6*g - 3*j = 2*g + l for g.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -2*n = -5*f + 20, -f + 4*n + 14 = -8. Suppose -y = -f*y. Suppose y = -2*k - 2*k. Solve 2*t + 15 = -3*j - k*t, 2*j + 2*t = -10 for j.\n' | b'-5\n' | b'Suppose -2*n = -5*f + 20, -f + 4*n + 14 = -8. Suppose -y = -f*y. Suppose y = -2*k - 2*k. Solve 2*t + 15 = -3*j - k*t, 2*j + 2*t = -10 for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -q + 1 = -2*l, -2*q - 2*q - l + 40 = 0. Suppose q*k - 32 = k. Solve v + 2*h = k*v + 18, 6 = 2*h for v.\n' | b'-4\n' | b'Suppose -q + 1 = -2*l, -2*q - 2*q - l + 40 = 0. Suppose q*k - 32 = k. Solve v + 2*h = k*v + 18, 6 = 2*h for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let g(h) = -h**3 + h**2 - h - 11. Let k be g(0). Let v = k - -13. Suppose 5*d = -z + 13 + 16, v*d - 2*z = 2. Solve -d*m + 0*n + 18 = n, -4*m + 5*n = 3 for m.\n' | b'3\n' | b'Let g(h) = -h**3 + h**2 - h - 11. Let k be g(0). Let v = k - -13. Suppose 5*d = -z + 13 + 16, v*d - 2*z = 2. Solve -d*m + 0*n + 18 = n, -4*m + 5*n = 3 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (z**(-5)*z**(-5))**(-36)*(z**(2/11)/((z**(-6)/z)/z*z))**9 assuming z is positive.\n' | b'z**(4671/11)\n' | b'Simplify (z**(-5)*z**(-5))**(-36)*(z**(2/11)/((z**(-6)/z)/z*z))**9 assuming z is positive.\n' | b'z**(4671/11)\n' | deepmind/math_dataset |
b'Let h = 16 - -2. What is the third derivative of l**3 - 168*l**2 - l**3 - h*l**4 + 162*l**2 wrt l?\n' | b'-432*l\n' | b'Let h = 16 - -2. What is the third derivative of l**3 - 168*l**2 - l**3 - h*l**4 + 162*l**2 wrt l?\n' | b'-432*l\n' | deepmind/math_dataset |
b'Suppose 15 = -2*n - n. Let v be 4/2 + (n - -6). Solve v*s - 5 = 4*h + 9, 6 = -3*s for h.\n' | b'-5\n' | b'Suppose 15 = -2*n - n. Let v be 4/2 + (n - -6). Solve v*s - 5 = 4*h + 9, 6 = -3*s for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 4, k: 3, p: 11}. What is prob of sequence ppxk?\n' | b'11/612\n' | b'Four letters picked without replacement from {x: 4, k: 3, p: 11}. What is prob of sequence ppxk?\n' | b'11/612\n' | deepmind/math_dataset |
b'Let j be 20/10 - (-9)/3 - (-20 + 17). Solve 0 = -2*y, 7*y - j*y = -l - 2 for l.\n' | b'-2\n' | b'Let j be 20/10 - (-9)/3 - (-20 + 17). Solve 0 = -2*y, 7*y - j*y = -l - 2 for l.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 i, and 1 z when three letters picked without replacement from {u: 7, d: 4, i: 2, m: 1, z: 3}.\n' | b'3/340\n' | b'Calculate prob of picking 1 m, 1 i, and 1 z when three letters picked without replacement from {u: 7, d: 4, i: 2, m: 1, z: 3}.\n' | b'3/340\n' | deepmind/math_dataset |
b'Let n be -6*(2 - (-21)/(-9)). Let g be ((-2)/5)/((-2)/10). What is the second derivative of -u**n - u + u**g + 2*u**5 wrt u?\n' | b'40*u**3\n' | b'Let n be -6*(2 - (-21)/(-9)). Let g be ((-2)/5)/((-2)/10). What is the second derivative of -u**n - u + u**g + 2*u**5 wrt u?\n' | b'40*u**3\n' | deepmind/math_dataset |
b'Simplify ((n**(-6/17))**(-48))**45 assuming n is positive.\n' | b'n**(12960/17)\n' | b'Simplify ((n**(-6/17))**(-48))**45 assuming n is positive.\n' | b'n**(12960/17)\n' | deepmind/math_dataset |
b'Let u(q) = -3*q**3 - 21*q**2 + 6*q + 16. Let b(r) = r**3 + 10*r**2 - 3*r - 8. Let y(x) = 5*b(x) + 2*u(x). Calculate y(7).\n' | b'20\n' | b'Let u(q) = -3*q**3 - 21*q**2 + 6*q + 16. Let b(r) = r**3 + 10*r**2 - 3*r - 8. Let y(x) = 5*b(x) + 2*u(x). Calculate y(7).\n' | b'20\n' | deepmind/math_dataset |
b'What is prob of picking 1 p, 1 c, and 1 s when three letters picked without replacement from {p: 2, n: 2, c: 1, a: 3, s: 4}?\n' | b'2/55\n' | b'What is prob of picking 1 p, 1 c, and 1 s when three letters picked without replacement from {p: 2, n: 2, c: 1, a: 3, s: 4}?\n' | b'2/55\n' | deepmind/math_dataset |
b'Let c = 8 + -6. Let s = 232 + -493. Let u = 272 + s. Solve -4*n - c*h + 20 = 0, 33 = 4*n + 3*h + u for n.\n' | b'4\n' | b'Let c = 8 + -6. Let s = 232 + -493. Let u = 272 + s. Solve -4*n - c*h + 20 = 0, 33 = 4*n + 3*h + u for n.\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 5, u: 8, t: 2}. What is prob of picking 1 t and 3 x?\n' | b'4/273\n' | b'Four letters picked without replacement from {x: 5, u: 8, t: 2}. What is prob of picking 1 t and 3 x?\n' | b'4/273\n' | deepmind/math_dataset |
b'Suppose 9 = -6*m + 27. Find the second derivative of p**5 + 11*p**3 - p**3 + 46*p - p**m wrt p.\n' | b'20*p**3 + 54*p\n' | b'Suppose 9 = -6*m + 27. Find the second derivative of p**5 + 11*p**3 - p**3 + 46*p - p**m wrt p.\n' | b'20*p**3 + 54*p\n' | deepmind/math_dataset |
b'Let o(q) = -q**3 - 6*q**2 - 5*q + 3. Let j be o(-5). Suppose j*k = -k + 24. Solve 2*l + k = -2*l - 2*s, -s = -2*l - 13 for l.\n' | b'-4\n' | b'Let o(q) = -q**3 - 6*q**2 - 5*q + 3. Let j be o(-5). Suppose j*k = -k + 24. Solve 2*l + k = -2*l - 2*s, -s = -2*l - 13 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z = 3392 - 6773/2. Let h(g) be the first derivative of 0*g**3 - 11/4*g**4 - z*g**2 + 0*g + 4. Find the second derivative of h(f) wrt f.\n' | b'-66*f\n' | b'Let z = 3392 - 6773/2. Let h(g) be the first derivative of 0*g**3 - 11/4*g**4 - z*g**2 + 0*g + 4. Find the second derivative of h(f) wrt f.\n' | b'-66*f\n' | deepmind/math_dataset |
b'Simplify (x*(x/(x*x/(x/x**(2/9))*x))/x)**(-13)*(x**1)**(-15) assuming x is positive.\n' | b'x**(8/9)\n' | b'Simplify (x*(x/(x*x/(x/x**(2/9))*x))/x)**(-13)*(x**1)**(-15) assuming x is positive.\n' | b'x**(8/9)\n' | deepmind/math_dataset |
b'Calculate prob of sequence aqa when three letters picked without replacement from qqqqqqqqqqaqqqqqaqq.\n' | b'1/171\n' | b'Calculate prob of sequence aqa when three letters picked without replacement from qqqqqqqqqqaqqqqqaqq.\n' | b'1/171\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 5, y: 3}. What is prob of picking 1 y and 1 a?\n' | b'15/28\n' | b'Two letters picked without replacement from {a: 5, y: 3}. What is prob of picking 1 y and 1 a?\n' | b'15/28\n' | deepmind/math_dataset |
b'Let y(b) = -b**3 - 4*b**2 - 4*b - 3. Suppose -h - 2*i + 1 = 0, 2*h - i + 2 = -3*i. Determine y(h).\n' | b'0\n' | b'Let y(b) = -b**3 - 4*b**2 - 4*b - 3. Suppose -h - 2*i + 1 = 0, 2*h - i + 2 = -3*i. Determine y(h).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 5*q - 16 = b, 5 = 2*q - b + 2*b. Suppose 10 = -19*p + 843 - 92. Find the first derivative of q - 18*a**4 - 5 - 4*a**4 + p*a**4 wrt a.\n' | b'68*a**3\n' | b'Suppose 5*q - 16 = b, 5 = 2*q - b + 2*b. Suppose 10 = -19*p + 843 - 92. Find the first derivative of q - 18*a**4 - 5 - 4*a**4 + p*a**4 wrt a.\n' | b'68*a**3\n' | deepmind/math_dataset |
b'What is prob of picking 2 l when two letters picked without replacement from tlttlttttt?\n' | b'1/45\n' | b'What is prob of picking 2 l when two letters picked without replacement from tlttlttttt?\n' | b'1/45\n' | deepmind/math_dataset |
b'What is prob of sequence iia when three letters picked without replacement from {t: 9, d: 3, a: 5, i: 3}?\n' | b'1/228\n' | b'What is prob of sequence iia when three letters picked without replacement from {t: 9, d: 3, a: 5, i: 3}?\n' | b'1/228\n' | deepmind/math_dataset |
b'Let k(q) = 6*q**2 - 1 - 2*q - q**2 + q. Let n(f) = 31*f + 416. Let w be n(21). Let j = w - 1068. Calculate k(j).\n' | b'5\n' | b'Let k(q) = 6*q**2 - 1 - 2*q - q**2 + q. Let n(f) = 31*f + 416. Let w be n(21). Let j = w - 1068. Calculate k(j).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -14 + 2 = -4*f. Differentiate 3*x**3 - x**f + 2 - x**4 - 2*x**3 wrt x.\n' | b'-4*x**3\n' | b'Suppose -14 + 2 = -4*f. Differentiate 3*x**3 - x**f + 2 - x**4 - 2*x**3 wrt x.\n' | b'-4*x**3\n' | deepmind/math_dataset |
b'Let t(z) = 73*z - 2382 + 984 + 1035. Let m be t(5). Solve -2*n + n + 5*c = 10, -m = -2*c for n.\n' | b'-5\n' | b'Let t(z) = 73*z - 2382 + 984 + 1035. Let m be t(5). Solve -2*n + n + 5*c = 10, -m = -2*c for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (f**(-6)*f**(-2/13))/(f/(f**(-3)/f)*f**(-1/3)) assuming f is positive.\n' | b'f**(-422/39)\n' | b'Simplify (f**(-6)*f**(-2/13))/(f/(f**(-3)/f)*f**(-1/3)) assuming f is positive.\n' | b'f**(-422/39)\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 b when two letters picked without replacement from mbopu?\n' | b'1/10\n' | b'What is prob of picking 1 u and 1 b when two letters picked without replacement from mbopu?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 3, w: 1}. Give prob of sequence dd.\n' | b'1/2\n' | b'Two letters picked without replacement from {d: 3, w: 1}. Give prob of sequence dd.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let a(s) = -s**2 + 9*s - 3 + 0*s - 5*s. Let k(d) = -d - 3. Let f = 7 + -12. Let b be k(f). Give a(b).\n' | b'1\n' | b'Let a(s) = -s**2 + 9*s - 3 + 0*s - 5*s. Let k(d) = -d - 3. Let f = 7 + -12. Let b be k(f). Give a(b).\n' | b'1\n' | deepmind/math_dataset |
b'Let k be (-13)/(-6) - 5/30. Suppose -8*f + 4*f = -20. Differentiate -3 + 1 - 1 + k + f*n with respect to n.\n' | b'5\n' | b'Let k be (-13)/(-6) - 5/30. Suppose -8*f + 4*f = -20. Differentiate -3 + 1 - 1 + k + f*n with respect to n.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence ttv when three letters picked without replacement from {z: 3, t: 5, v: 3}.\n' | b'2/33\n' | b'Calculate prob of sequence ttv when three letters picked without replacement from {z: 3, t: 5, v: 3}.\n' | b'2/33\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oflflfflllbfffbfbnl. What is prob of sequence fbfb?\n' | b'7/1938\n' | b'Four letters picked without replacement from oflflfflllbfffbfbnl. What is prob of sequence fbfb?\n' | b'7/1938\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 2 d when three letters picked without replacement from qsxdslxlxlqxxdxuqqqq?\n' | b'1/190\n' | b'What is prob of picking 1 q and 2 d when three letters picked without replacement from qsxdslxlxlqxxdxuqqqq?\n' | b'1/190\n' | deepmind/math_dataset |
b'Three letters picked without replacement from tttwrctwtttrcrc. Give prob of sequence ctw.\n' | b'1/65\n' | b'Three letters picked without replacement from tttwrctwtttrcrc. Give prob of sequence ctw.\n' | b'1/65\n' | deepmind/math_dataset |
b'Let f(w) = 33*w - 79. Let s(h) = -44*h + 106. Let m(g) = -11*f(g) - 8*s(g). Determine m(3).\n' | b'-12\n' | b'Let f(w) = 33*w - 79. Let s(h) = -44*h + 106. Let m(g) = -11*f(g) - 8*s(g). Determine m(3).\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose 3*q = -s + 10, -9*s = -6*s + 2*q - 37. Solve -3 = -4*z - 5*b - s, z - b = 2 for z.\n' | b'0\n' | b'Suppose 3*q = -s + 10, -9*s = -6*s + 2*q - 37. Solve -3 = -4*z - 5*b - s, z - b = 2 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(g) be the second derivative of g**7/42 - 9*g**5/20 + g**4/12 + 5*g**2/2 + g + 40. What is the third derivative of m(h) wrt h?\n' | b'60*h**2 - 54\n' | b'Let m(g) be the second derivative of g**7/42 - 9*g**5/20 + g**4/12 + 5*g**2/2 + g + 40. What is the third derivative of m(h) wrt h?\n' | b'60*h**2 - 54\n' | deepmind/math_dataset |
b'Let b be 0/(40/(-60)*6/2). Solve b = 3*i + r - 5, i = 7*r - 0*r + 9 for i.\n' | b'2\n' | b'Let b be 0/(40/(-60)*6/2). Solve b = 3*i + r - 5, i = 7*r - 0*r + 9 for i.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -33 = a + 5*o, -2*a - 4 - 2 = -5*o. Let k = 19 + a. What is the third derivative of 0*w**2 + k*w**5 - 2*w**5 - 4*w**2 wrt w?\n' | b'240*w**2\n' | b'Suppose -33 = a + 5*o, -2*a - 4 - 2 = -5*o. Let k = 19 + a. What is the third derivative of 0*w**2 + k*w**5 - 2*w**5 - 4*w**2 wrt w?\n' | b'240*w**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 1, n: 1, o: 2, h: 1, w: 2, a: 2}. What is prob of sequence hw?\n' | b'1/36\n' | b'Two letters picked without replacement from {i: 1, n: 1, o: 2, h: 1, w: 2, a: 2}. What is prob of sequence hw?\n' | b'1/36\n' | deepmind/math_dataset |
b'Let r(s) = -s**2 - s + 7. Let i be 1/(-8 - 2) + 29/(-10). What is r(i)?\n' | b'1\n' | b'Let r(s) = -s**2 - s + 7. Let i be 1/(-8 - 2) + 29/(-10). What is r(i)?\n' | b'1\n' | deepmind/math_dataset |
b'Let f(x) = -45*x**3 + 2*x**2 - 38*x - 5. Let r(w) = 67*w**3 - 3*w**2 + 57*w + 8. Let o(h) = 8*f(h) + 5*r(h). What is the second derivative of o(k) wrt k?\n' | b'-150*k + 2\n' | b'Let f(x) = -45*x**3 + 2*x**2 - 38*x - 5. Let r(w) = 67*w**3 - 3*w**2 + 57*w + 8. Let o(h) = 8*f(h) + 5*r(h). What is the second derivative of o(k) wrt k?\n' | b'-150*k + 2\n' | deepmind/math_dataset |
b'Suppose -5*s + 74 = -36. Let l(b) = -b + 15 - s + 2*b. Determine l(5).\n' | b'-2\n' | b'Suppose -5*s + 74 = -36. Let l(b) = -b + 15 - s + 2*b. Determine l(5).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 1 y, and 1 t when three letters picked without replacement from yyzjyyyyyyyt.\n' | b'9/220\n' | b'Calculate prob of picking 1 j, 1 y, and 1 t when three letters picked without replacement from yyzjyyyyyyyt.\n' | b'9/220\n' | deepmind/math_dataset |
b'Let r be (-8)/(-28) + 3218/7. Let d be r/45 - 2/9. Solve -2*f + 4 = -f, 3*x + d = 4*f for x.\n' | b'2\n' | b'Let r be (-8)/(-28) + 3218/7. Let d be r/45 - 2/9. Solve -2*f + 4 = -f, 3*x + d = 4*f for x.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 4, u: 1, b: 5}. What is prob of picking 1 b and 1 u?\n' | b'1/9\n' | b'Two letters picked without replacement from {p: 4, u: 1, b: 5}. What is prob of picking 1 b and 1 u?\n' | b'1/9\n' | deepmind/math_dataset |
b'Let f(n) = n**3 - 26*n**2 + 2. Let s be f(26). Suppose 5*c + o - 17 = 0, o = s*c + c - 15. Solve -c*a - 5*z = -18, 3*a = a - 5*z + 14 for a.\n' | b'2\n' | b'Let f(n) = n**3 - 26*n**2 + 2. Let s be f(26). Suppose 5*c + o - 17 = 0, o = s*c + c - 15. Solve -c*a - 5*z = -18, 3*a = a - 5*z + 14 for a.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kvivj. What is prob of sequence kv?\n' | b'1/10\n' | b'Two letters picked without replacement from kvivj. What is prob of sequence kv?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify d**(2/9)*d*d/d**(-2)*d*d**(-1/6)*d/d**9*d assuming d is positive.\n' | b'd**(-35/18)\n' | b'Simplify d**(2/9)*d*d/d**(-2)*d*d**(-1/6)*d/d**9*d assuming d is positive.\n' | b'd**(-35/18)\n' | deepmind/math_dataset |
b'Simplify (h*h*h/((h*h/(h**(-4/7)/h*h)*h)/h))/h*h**(2/51)*((h**(2/7)/h)/h)/h*h**(-20) assuming h is positive.\n' | b'h**(-8299/357)\n' | b'Simplify (h*h*h/((h*h/(h**(-4/7)/h*h)*h)/h))/h*h**(2/51)*((h**(2/7)/h)/h)/h*h**(-20) assuming h is positive.\n' | b'h**(-8299/357)\n' | deepmind/math_dataset |
b'Let g(z) = -2*z - 5. Let s = 10 - 15. Let o(r) be the second derivative of -r**4/12 - 5*r**3/6 - 3*r**2 - 5*r. Let m be o(s). Give g(m).\n' | b'7\n' | b'Let g(z) = -2*z - 5. Let s = 10 - 15. Let o(r) be the second derivative of -r**4/12 - 5*r**3/6 - 3*r**2 - 5*r. Let m be o(s). Give g(m).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (l*(l*l**1/l)/l*l*l)**(3/7)*l**6*l*l**(1/3)*l assuming l is positive.\n' | b'l**(202/21)\n' | b'Simplify (l*(l*l**1/l)/l*l*l)**(3/7)*l**6*l*l**(1/3)*l assuming l is positive.\n' | b'l**(202/21)\n' | deepmind/math_dataset |
b'Let u(z) = -z**3 - 4*z**2 + 5*z - 3. Let t(v) = -v + 5. Let g be t(5). Suppose 5 = -w - g*w. What is u(w)?\n' | b'-3\n' | b'Let u(z) = -z**3 - 4*z**2 + 5*z - 3. Let t(v) = -v + 5. Let g be t(5). Suppose 5 = -w - g*w. What is u(w)?\n' | b'-3\n' | deepmind/math_dataset |
b'What is the third derivative of -127*f**3 + 4*f**2 - 5*f**2 - 5*f**2 + 0*f**2 - 11*f + 2*f**2 wrt f?\n' | b'-762\n' | b'What is the third derivative of -127*f**3 + 4*f**2 - 5*f**2 - 5*f**2 + 0*f**2 - 11*f + 2*f**2 wrt f?\n' | b'-762\n' | deepmind/math_dataset |
b'Let l(u) be the third derivative of 3*u**2 + 0 + 1/20*u**5 + 0*u**4 + 1/60*u**6 + 0*u + 0*u**3. What is l(-2)?\n' | b'-4\n' | b'Let l(u) be the third derivative of 3*u**2 + 0 + 1/20*u**5 + 0*u**4 + 1/60*u**6 + 0*u + 0*u**3. What is l(-2)?\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -5*l - 24 = -44. Let y = 12 - 2. Let u be 2/y + (-174)/(-30). Solve -5*j - a - 3*a + u = 0, 0 = -a + l for j.\n' | b'-2\n' | b'Suppose -5*l - 24 = -44. Let y = 12 - 2. Let u be 2/y + (-174)/(-30). Solve -5*j - a - 3*a + u = 0, 0 = -a + l for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Let v be ((-12)/(-18))/(4/12). Solve -2*u = k - 2, -2*u - 2*k + 14 = v*k for u.\n' | b'-1\n' | b'Let v be ((-12)/(-18))/(4/12). Solve -2*u = k - 2, -2*u - 2*k + 14 = v*k for u.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 19, f: 1}. Give prob of picking 2 f.\n' | b'0\n' | b'Two letters picked without replacement from {l: 19, f: 1}. Give prob of picking 2 f.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, z: 1, r: 1, c: 1, a: 1}. Give prob of sequence ra.\n' | b'1/20\n' | b'Two letters picked without replacement from {h: 1, z: 1, r: 1, c: 1, a: 1}. Give prob of sequence ra.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let v(d) be the third derivative of d**5/12 - d**3/6 - 3*d**2 + 2. Determine v(-2).\n' | b'19\n' | b'Let v(d) be the third derivative of d**5/12 - d**3/6 - 3*d**2 + 2. Determine v(-2).\n' | b'19\n' | deepmind/math_dataset |
b'Simplify y*y*y**(-7)*y**17 assuming y is positive.\n' | b'y**12\n' | b'Simplify y*y*y**(-7)*y**17 assuming y is positive.\n' | b'y**12\n' | deepmind/math_dataset |
b'Let h be ((-2)/(-6))/(-1) + 8/(-12). Let f be (h/2 - 66/(-36))*3. Find the third derivative of 16*p**2 + 19*p**5 + 23*p**4 - 23*p**f wrt p.\n' | b'1140*p**2\n' | b'Let h be ((-2)/(-6))/(-1) + 8/(-12). Let f be (h/2 - 66/(-36))*3. Find the third derivative of 16*p**2 + 19*p**5 + 23*p**4 - 23*p**f wrt p.\n' | b'1140*p**2\n' | deepmind/math_dataset |
b'Let f(z) = -514*z**2 + 949*z - 1. Let j(u) = 7*u. Let g(y) = f(y) - 2*j(y). What is the second derivative of g(w) wrt w?\n' | b'-1028\n' | b'Let f(z) = -514*z**2 + 949*z - 1. Let j(u) = 7*u. Let g(y) = f(y) - 2*j(y). What is the second derivative of g(w) wrt w?\n' | b'-1028\n' | deepmind/math_dataset |
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