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 q = 254 + -138. Let n = -128 + q. Let y = -8 - n. Solve 0 = y*t - 2*t - 4*z - 4, -20 = 2*t + 4*z for t.\n' | b'-4\n' | b'Let q = 254 + -138. Let n = -128 + q. Let y = -8 - n. Solve 0 = y*t - 2*t - 4*z - 4, -20 = 2*t + 4*z for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((q*q**30)**(-45))**(-1/11) assuming q is positive.\n' | b'q**(1395/11)\n' | b'Simplify ((q*q**30)**(-45))**(-1/11) assuming q is positive.\n' | b'q**(1395/11)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 6, y: 2, r: 6, s: 2, u: 1}. Give prob of sequence rydy.\n' | b'3/2380\n' | b'Four letters picked without replacement from {d: 6, y: 2, r: 6, s: 2, u: 1}. Give prob of sequence rydy.\n' | b'3/2380\n' | deepmind/math_dataset |
b'What is the second derivative of -384*a**3 + 201*a**3 - 2*a**2 - 427*a**3 - 309 + 2*a wrt a?\n' | b'-3660*a - 4\n' | b'What is the second derivative of -384*a**3 + 201*a**3 - 2*a**2 - 427*a**3 - 309 + 2*a wrt a?\n' | b'-3660*a - 4\n' | deepmind/math_dataset |
b'Suppose 181*g = 133*g + 192. Solve 4 = -g*u, 2*x + 7 - 2 = 3*u for x.\n' | b'-4\n' | b'Suppose 181*g = 133*g + 192. Solve 4 = -g*u, 2*x + 7 - 2 = 3*u for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tzazwzi. What is prob of picking 1 a, 1 w, 1 z, and 1 t?\n' | b'3/35\n' | b'Four letters picked without replacement from tzazwzi. What is prob of picking 1 a, 1 w, 1 z, and 1 t?\n' | b'3/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from shnhhhhhhshhhh. Give prob of sequence nss.\n' | b'1/1092\n' | b'Three letters picked without replacement from shnhhhhhhshhhh. Give prob of sequence nss.\n' | b'1/1092\n' | deepmind/math_dataset |
b'Suppose 0 = -k - 1 + 4. Solve 0 = 5*g + 4*j - 27, k*j = 3*g - 0*j for g.\n' | b'3\n' | b'Suppose 0 = -k - 1 + 4. Solve 0 = 5*g + 4*j - 27, k*j = 3*g - 0*j for g.\n' | b'3\n' | deepmind/math_dataset |
b'Let v(h) = 2*h + 27. Suppose 5*y + 3 = 2*t - 62, 4*t = 0. Give v(y).\n' | b'1\n' | b'Let v(h) = 2*h + 27. Suppose 5*y + 3 = 2*t - 62, 4*t = 0. Give v(y).\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((p**(-4)*p)/((p**(-2/7)*p)/p))/(p**(-2/9)*p**(-5)*p) assuming p is positive.\n' | b'p**(95/63)\n' | b'Simplify ((p**(-4)*p)/((p**(-2/7)*p)/p))/(p**(-2/9)*p**(-5)*p) assuming p is positive.\n' | b'p**(95/63)\n' | deepmind/math_dataset |
b'Let p(x) be the first derivative of -x**5/5 + 57*x**4/2 + x**2 - 58*x - 301. Find the second derivative of p(q) wrt q.\n' | b'-12*q**2 + 684*q\n' | b'Let p(x) be the first derivative of -x**5/5 + 57*x**4/2 + x**2 - 58*x - 301. Find the second derivative of p(q) wrt q.\n' | b'-12*q**2 + 684*q\n' | deepmind/math_dataset |
b'Simplify (b/(b*b**(-5/13)*b))/b*b**(-1/10)*b**(-38)*b/b**7 assuming b is positive.\n' | b'b**(-5943/130)\n' | b'Simplify (b/(b*b**(-5/13)*b))/b*b**(-1/10)*b**(-38)*b/b**7 assuming b is positive.\n' | b'b**(-5943/130)\n' | deepmind/math_dataset |
b'Let j(w) = -8*w**2 - 12. Let l(u) = -7*u**2 + u - 11. Let p(z) = -6*j(z) + 7*l(z). Give p(4).\n' | b'7\n' | b'Let j(w) = -8*w**2 - 12. Let l(u) = -7*u**2 + u - 11. Let p(z) = -6*j(z) + 7*l(z). Give p(4).\n' | b'7\n' | deepmind/math_dataset |
b'Let t(q) be the first derivative of 23*q**6/40 - 13*q**3/6 - 15*q**2/2 + 2*q + 17. Let o(v) be the second derivative of t(v). Differentiate o(u) wrt u.\n' | b'207*u**2\n' | b'Let t(q) be the first derivative of 23*q**6/40 - 13*q**3/6 - 15*q**2/2 + 2*q + 17. Let o(v) be the second derivative of t(v). Differentiate o(u) wrt u.\n' | b'207*u**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from mbvmmmgmvxvmwvvmmwvv.\n' | b'1/190\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from mbvmmmgmvxvmwvvmmwvv.\n' | b'1/190\n' | deepmind/math_dataset |
b'Simplify ((o**(-11/3))**26/(o**(12/11)/(o/(o/(o**(-2/5)/o)))))**(11/5) assuming o is positive.\n' | b'o**(-16141/75)\n' | b'Simplify ((o**(-11/3))**26/(o**(12/11)/(o/(o/(o**(-2/5)/o)))))**(11/5) assuming o is positive.\n' | b'o**(-16141/75)\n' | deepmind/math_dataset |
b'Simplify (j**7*j)**(10/13) assuming j is positive.\n' | b'j**(80/13)\n' | b'Simplify (j**7*j)**(10/13) assuming j is positive.\n' | b'j**(80/13)\n' | deepmind/math_dataset |
b'Let l(j) be the second derivative of j**4/6 + 2*j**3 + 3*j**2 + 5*j. Let r be l(-5). Let v(f) = -f**3 - 5*f**2 - 5*f. What is v(r)?\n' | b'4\n' | b'Let l(j) be the second derivative of j**4/6 + 2*j**3 + 3*j**2 + 5*j. Let r be l(-5). Let v(f) = -f**3 - 5*f**2 - 5*f. What is v(r)?\n' | b'4\n' | deepmind/math_dataset |
b'Let g(n) be the second derivative of 1/3*n**3 + 0 + 1/120*n**5 + 0*n**2 + 1/24*n**4 - n. Let o(c) be the second derivative of g(c). Give o(1).\n' | b'2\n' | b'Let g(n) be the second derivative of 1/3*n**3 + 0 + 1/120*n**5 + 0*n**2 + 1/24*n**4 - n. Let o(c) be the second derivative of g(c). Give o(1).\n' | b'2\n' | deepmind/math_dataset |
b'Let y be (-3)/7 - 640/(-56). Let h = y + 0. Suppose -2*a - 7 = -h. Solve -5*c + 25 = 4*i, 0*i = -3*i - a*c + 17 for i.\n' | b'5\n' | b'Let y be (-3)/7 - 640/(-56). Let h = y + 0. Suppose -2*a - 7 = -h. Solve -5*c + 25 = 4*i, 0*i = -3*i - a*c + 17 for i.\n' | b'5\n' | deepmind/math_dataset |
b'Let i(z) = -66 + 23 - 7*z + 27 - 2*z + 19. Determine i(-3).\n' | b'30\n' | b'Let i(z) = -66 + 23 - 7*z + 27 - 2*z + 19. Determine i(-3).\n' | b'30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 6, k: 1, t: 1, s: 11}. Give prob of picking 1 u and 1 k.\n' | b'2/57\n' | b'Two letters picked without replacement from {u: 6, k: 1, t: 1, s: 11}. Give prob of picking 1 u and 1 k.\n' | b'2/57\n' | deepmind/math_dataset |
b'Let m(s) = -s**3 - 4*s**2 + 4. Let t be m(-4). Suppose 2*x - t = -0. Solve -x*d - 3*l - 12 = -5*l, -d + 4*l = 18 for d.\n' | b'-2\n' | b'Let m(s) = -s**3 - 4*s**2 + 4. Let t be m(-4). Suppose 2*x - t = -0. Solve -x*d - 3*l - 12 = -5*l, -d + 4*l = 18 for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(m) = 6 - 17*m + 16*m + 0 - m**2. Let n(p) = -p**3 - 8*p**2 - 12*p - 2. Let y be n(-6). Let k be y/(-14) + 36/(-7). Determine g(k).\n' | b'-14\n' | b'Let g(m) = 6 - 17*m + 16*m + 0 - m**2. Let n(p) = -p**3 - 8*p**2 - 12*p - 2. Let y be n(-6). Let k be y/(-14) + 36/(-7). Determine g(k).\n' | b'-14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from laqvqlccaalvcar. What is prob of picking 2 a and 1 r?\n' | b'6/455\n' | b'Three letters picked without replacement from laqvqlccaalvcar. What is prob of picking 2 a and 1 r?\n' | b'6/455\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ddbddddbd. Give prob of picking 2 b and 2 d.\n' | b'1/6\n' | b'Four letters picked without replacement from ddbddddbd. Give prob of picking 2 b and 2 d.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let x(w) be the second derivative of 5*w**4/4 + w**3/2 + w**2 - w - 1051. Give x(-2).\n' | b'56\n' | b'Let x(w) be the second derivative of 5*w**4/4 + w**3/2 + w**2 - w - 1051. Give x(-2).\n' | b'56\n' | deepmind/math_dataset |
b'Suppose 19*c - 24*c + 15 = 0. Solve -13 = c*s - 2*r, 2*s - 2*r = 3*r - 16 for s.\n' | b'-3\n' | b'Suppose 19*c - 24*c + 15 = 0. Solve -13 = c*s - 2*r, 2*s - 2*r = 3*r - 16 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (v*v**(-1)*v)**34/(v**1*v)**(-4) assuming v is positive.\n' | b'v**42\n' | b'Simplify (v*v**(-1)*v)**34/(v**1*v)**(-4) assuming v is positive.\n' | b'v**42\n' | deepmind/math_dataset |
b'What is prob of picking 2 c when two letters picked without replacement from {w: 5, c: 5}?\n' | b'2/9\n' | b'What is prob of picking 2 c when two letters picked without replacement from {w: 5, c: 5}?\n' | b'2/9\n' | deepmind/math_dataset |
b'Simplify (x**(2/5))**22*x*x**(12/7)*(x/(x/(x*x*x**(3/8))))/x assuming x is positive.\n' | b'x**(3609/280)\n' | b'Simplify (x**(2/5))**22*x*x**(12/7)*(x/(x/(x*x*x**(3/8))))/x assuming x is positive.\n' | b'x**(3609/280)\n' | deepmind/math_dataset |
b'Simplify f**(4/9)*f**(-7)/f*f*f/f**9*f**(-1) assuming f is positive.\n' | b'f**(-140/9)\n' | b'Simplify f**(4/9)*f**(-7)/f*f*f/f**9*f**(-1) assuming f is positive.\n' | b'f**(-140/9)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uzuuzeeznaz. What is prob of sequence uau?\n' | b'1/165\n' | b'Three letters picked without replacement from uzuuzeeznaz. What is prob of sequence uau?\n' | b'1/165\n' | deepmind/math_dataset |
b'Let m = 15099 - 15095. Let t(k) be the second derivative of 0 + 0*k**2 + 1/10*k**5 - 20/3*k**3 + 0*k**m + 13*k. Find the second derivative of t(a) wrt a.\n' | b'12*a\n' | b'Let m = 15099 - 15095. Let t(k) be the second derivative of 0 + 0*k**2 + 1/10*k**5 - 20/3*k**3 + 0*k**m + 13*k. Find the second derivative of t(a) wrt a.\n' | b'12*a\n' | deepmind/math_dataset |
b'Let n(f) be the third derivative of 0*f**4 + 1/12*f**5 + 1/2*f**3 + 0*f - 4*f**2 + 0. Differentiate n(b) wrt b.\n' | b'10*b\n' | b'Let n(f) be the third derivative of 0*f**4 + 1/12*f**5 + 1/2*f**3 + 0*f - 4*f**2 + 0. Differentiate n(b) wrt b.\n' | b'10*b\n' | deepmind/math_dataset |
b'Let w be ((-2)/4)/((-2)/(-4)). Let j(d) = 4*d. Let t(v) = v - 1. Let z(n) = w*j(n) - 2*t(n). Differentiate z(x) with respect to x.\n' | b'-6\n' | b'Let w be ((-2)/4)/((-2)/(-4)). Let j(d) = 4*d. Let t(v) = v - 1. Let z(n) = w*j(n) - 2*t(n). Differentiate z(x) with respect to x.\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 1 x, 1 b, and 2 u when four letters picked without replacement from exubbunbbyneb?\n' | b'1/143\n' | b'What is prob of picking 1 x, 1 b, and 2 u when four letters picked without replacement from exubbunbbyneb?\n' | b'1/143\n' | deepmind/math_dataset |
b'Let n(h) = -h**2 + 13*h - 2. Let j be n(7). Suppose -52*c = -44*c + j. Let a(k) = -3*k**2 - 7*k - 5. Give a(c).\n' | b'-45\n' | b'Let n(h) = -h**2 + 13*h - 2. Let j be n(7). Suppose -52*c = -44*c + j. Let a(k) = -3*k**2 - 7*k - 5. Give a(c).\n' | b'-45\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 2 m when three letters picked without replacement from kmrmkkpk?\n' | b'1/14\n' | b'What is prob of picking 1 k and 2 m when three letters picked without replacement from kmrmkkpk?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let h(s) be the first derivative of 0*s + 34 - 25/2*s**2 + 5/3*s**3. What is the second derivative of h(t) wrt t?\n' | b'10\n' | b'Let h(s) be the first derivative of 0*s + 34 - 25/2*s**2 + 5/3*s**3. What is the second derivative of h(t) wrt t?\n' | b'10\n' | deepmind/math_dataset |
b'Let k(v) be the first derivative of v**7/840 + v**6/60 + v**5/20 + 7*v**4/24 - v**3/3 - 5*v - 60. Let b(w) be the third derivative of k(w). Give b(-5).\n' | b'2\n' | b'Let k(v) be the first derivative of v**7/840 + v**6/60 + v**5/20 + 7*v**4/24 - v**3/3 - 5*v - 60. Let b(w) be the third derivative of k(w). Give b(-5).\n' | b'2\n' | deepmind/math_dataset |
b'Let b(a) = -a**3 - a**2 + 2*a + 2. Suppose 5*k - z + 11 = 0, -5*k + 3*k = -4*z + 8. Calculate b(k).\n' | b'2\n' | b'Let b(a) = -a**3 - a**2 + 2*a + 2. Suppose 5*k - z + 11 = 0, -5*k + 3*k = -4*z + 8. Calculate b(k).\n' | b'2\n' | deepmind/math_dataset |
b'Let h(w) = w**3 - w**2 + w + 1. Let i be h(-1). Let f(l) = -38*l - 28*l + 53*l. What is f(i)?\n' | b'26\n' | b'Let h(w) = w**3 - w**2 + w + 1. Let i be h(-1). Let f(l) = -38*l - 28*l + 53*l. What is f(i)?\n' | b'26\n' | deepmind/math_dataset |
b'Let s = -9878 + 9870. Let i(r) be the second derivative of -r**3 - 33*r**2/2 + r. Let q be i(s). Solve -4*j = 4*v - 24, -4*j - v + 36 - q = 0 for j.\n' | b'5\n' | b'Let s = -9878 + 9870. Let i(r) be the second derivative of -r**3 - 33*r**2/2 + r. Let q be i(s). Solve -4*j = 4*v - 24, -4*j - v + 36 - q = 0 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -2*z + 3 = -1. Let s(o) = 1 - o**3 + 3*o - 2*o**2 + 5*o**z - 2. Give s(3).\n' | b'8\n' | b'Suppose -2*z + 3 = -1. Let s(o) = 1 - o**3 + 3*o - 2*o**2 + 5*o**z - 2. Give s(3).\n' | b'8\n' | deepmind/math_dataset |
b'Let s(n) = -4*n + 11. Suppose 2*j + 5*i + 0*i - 1506 = 0, j - 756 = -i. Let k = j - 753. Give s(k).\n' | b'-9\n' | b'Let s(n) = -4*n + 11. Suppose 2*j + 5*i + 0*i - 1506 = 0, j - 756 = -i. Let k = j - 753. Give s(k).\n' | b'-9\n' | deepmind/math_dataset |
b'What is prob of picking 2 p, 1 e, and 1 l when four letters picked without replacement from {q: 3, l: 10, p: 2, e: 3}?\n' | b'1/102\n' | b'What is prob of picking 2 p, 1 e, and 1 l when four letters picked without replacement from {q: 3, l: 10, p: 2, e: 3}?\n' | b'1/102\n' | deepmind/math_dataset |
b'Let x be ((-30)/(-75))/(2/400). Differentiate -131 + 119*a**3 - x - 32*a**3 + 124 with respect to a.\n' | b'261*a**2\n' | b'Let x be ((-30)/(-75))/(2/400). Differentiate -131 + 119*a**3 - x - 32*a**3 + 124 with respect to a.\n' | b'261*a**2\n' | deepmind/math_dataset |
b'Let a(h) = h**2 + h - 1. Let x(u) = -57*u**3 - 3*u**2 - 20*u + 3. Let q(v) = 3*a(v) + x(v). Find the second derivative of q(f) wrt f.\n' | b'-342*f\n' | b'Let a(h) = h**2 + h - 1. Let x(u) = -57*u**3 - 3*u**2 - 20*u + 3. Let q(v) = 3*a(v) + x(v). Find the second derivative of q(f) wrt f.\n' | b'-342*f\n' | deepmind/math_dataset |
b'Suppose 0 = 9*j - 3*j + 6. Let q be j/11*2 + 92/22. What is the third derivative of 0 + 64*i**2 - 108*i**2 + 0 - 39*i**q wrt i?\n' | b'-936*i\n' | b'Suppose 0 = 9*j - 3*j + 6. Let q be j/11*2 + 92/22. What is the third derivative of 0 + 64*i**2 - 108*i**2 + 0 - 39*i**q wrt i?\n' | b'-936*i\n' | deepmind/math_dataset |
b'What is prob of picking 2 w when two letters picked without replacement from {l: 13, s: 3, w: 4}?\n' | b'3/95\n' | b'What is prob of picking 2 w when two letters picked without replacement from {l: 13, s: 3, w: 4}?\n' | b'3/95\n' | deepmind/math_dataset |
b'Simplify (k**(-2/7))**(11/2)*(k*k*k/k**(-5))/k**(4/9)*(k**(1/9)*k/(k*k**(-5)/k))**(1/26) assuming k is positive.\n' | b'k**(10187/1638)\n' | b'Simplify (k**(-2/7))**(11/2)*(k*k*k/k**(-5))/k**(4/9)*(k**(1/9)*k/(k*k**(-5)/k))**(1/26) assuming k is positive.\n' | b'k**(10187/1638)\n' | deepmind/math_dataset |
b'What is the third derivative of -16*o**3 - 343 + 2*o**2 - 221*o**6 + 600*o**6 + 14*o**3 wrt o?\n' | b'45480*o**3 - 12\n' | b'What is the third derivative of -16*o**3 - 343 + 2*o**2 - 221*o**6 + 600*o**6 + 14*o**3 wrt o?\n' | b'45480*o**3 - 12\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 a and 2 t when four letters picked without replacement from {z: 3, a: 2, t: 3}.\n' | b'3/70\n' | b'Calculate prob of picking 2 a and 2 t when four letters picked without replacement from {z: 3, a: 2, t: 3}.\n' | b'3/70\n' | deepmind/math_dataset |
b'Let t(q) be the third derivative of -3*q**4/4 + q**3/6 + 27*q**2 - 1. What is t(-1)?\n' | b'19\n' | b'Let t(q) be the third derivative of -3*q**4/4 + q**3/6 + 27*q**2 - 1. What is t(-1)?\n' | b'19\n' | deepmind/math_dataset |
b'Calculate prob of sequence kk when two letters picked without replacement from jkkkkjjkkkk.\n' | b'28/55\n' | b'Calculate prob of sequence kk when two letters picked without replacement from jkkkkjjkkkk.\n' | b'28/55\n' | deepmind/math_dataset |
b'Let i(n) = 378*n - 372. Let q be i(1). Solve z + 2*z - 3 = 0, 0 = -3*o - 3*z + q for o.\n' | b'1\n' | b'Let i(n) = 378*n - 372. Let q be i(1). Solve z + 2*z - 3 = 0, 0 = -3*o - 3*z + q for o.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 81 + 39 = 3*h. Suppose -h = -3*o - 4. Suppose -4*n + o = -4. Solve -9 = 3*i + 3*s, -n*i + 4*s = -0 - 4 for i.\n' | b'-1\n' | b'Suppose 81 + 39 = 3*h. Suppose -h = -3*o - 4. Suppose -4*n + o = -4. Solve -9 = 3*i + 3*s, -n*i + 4*s = -0 - 4 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let f = 1 + 1. Solve -f*b - 2 = 4*p - 6*p, -2*b = 2*p + 6 for p.\n' | b'-1\n' | b'Let f = 1 + 1. Solve -f*b - 2 = 4*p - 6*p, -2*b = 2*p + 6 for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((p**(2/61)*p)/((p/p**(-15/7))/p*p))/(p**5/p*p**(-41)) assuming p is positive.\n' | b'p**(14898/427)\n' | b'Simplify ((p**(2/61)*p)/((p/p**(-15/7))/p*p))/(p**5/p*p**(-41)) assuming p is positive.\n' | b'p**(14898/427)\n' | deepmind/math_dataset |
b'Simplify (m**5/(m/(m*m**(-5)*m)*m))/((m*m/m**(-3)*m)/m*((m*m**(-7/2)*m)/m)/m) assuming m is positive.\n' | b'm**(-3/2)\n' | b'Simplify (m**5/(m/(m*m**(-5)*m)*m))/((m*m/m**(-3)*m)/m*((m*m**(-7/2)*m)/m)/m) assuming m is positive.\n' | b'm**(-3/2)\n' | deepmind/math_dataset |
b'Let x = 0 - -4. Let b = 4948 - 4948. Let s = 58 - 57. Solve p - x*h - h + 11 = b, -p = h - s for p.\n' | b'-1\n' | b'Let x = 0 - -4. Let b = 4948 - 4948. Let s = 58 - 57. Solve p - x*h - h + 11 = b, -p = h - s for p.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (((i/(i*i**(-4/7))*i)/i*i*((i/(i*i/(i*i*i**0)))/i*i)/i*i)/(i**(7/4)/i*i/i**(-1/8)*i*i))/((i**(-7)*i)/(i**(-2/7)*i))**(15/11) assuming i is positive.\n' | b'i**(691/88)\n' | b'Simplify (((i/(i*i**(-4/7))*i)/i*i*((i/(i*i/(i*i*i**0)))/i*i)/i*i)/(i**(7/4)/i*i/i**(-1/8)*i*i))/((i**(-7)*i)/(i**(-2/7)*i))**(15/11) assuming i is positive.\n' | b'i**(691/88)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 2 c when three letters picked without replacement from ccciincnikiiinniwiic.\n' | b'2/57\n' | b'Calculate prob of picking 1 n and 2 c when three letters picked without replacement from ccciincnikiiinniwiic.\n' | b'2/57\n' | deepmind/math_dataset |
b'Let k(p) be the second derivative of p**7/840 - p**6/60 + p**5/60 - 7*p**4/24 + 5*p**3/6 + p. Let x(m) be the second derivative of k(m). Determine x(6).\n' | b'5\n' | b'Let k(p) be the second derivative of p**7/840 - p**6/60 + p**5/60 - 7*p**4/24 + 5*p**3/6 + p. Let x(m) be the second derivative of k(m). Determine x(6).\n' | b'5\n' | deepmind/math_dataset |
b'Let v(i) = -i**3 + 13*i**2 - 22*i + 2. Let x be v(11). Suppose -5*f - 24*b + 21*b = -50, -x*b = 4*f - 38. Let o(n) = -n**3 + 6*n**2 + 7. Calculate o(f).\n' | b'-42\n' | b'Let v(i) = -i**3 + 13*i**2 - 22*i + 2. Let x be v(11). Suppose -5*f - 24*b + 21*b = -50, -x*b = 4*f - 38. Let o(n) = -n**3 + 6*n**2 + 7. Calculate o(f).\n' | b'-42\n' | deepmind/math_dataset |
b'Let n(d) = -3*d**3 + 5*d**2 + 5*d + 27. Let k(w) = -2*w**3 + 3*w**2 + 3*w + 14. Let c(i) = -5*k(i) + 3*n(i). Differentiate c(f) wrt f.\n' | b'3*f**2\n' | b'Let n(d) = -3*d**3 + 5*d**2 + 5*d + 27. Let k(w) = -2*w**3 + 3*w**2 + 3*w + 14. Let c(i) = -5*k(i) + 3*n(i). Differentiate c(f) wrt f.\n' | b'3*f**2\n' | deepmind/math_dataset |
b'Suppose -2*w = -6*w + 3*i + 5, -2*w = -4*i + 10. Let v(t) = 2*t - 7. What is v(w)?\n' | b'3\n' | b'Suppose -2*w = -6*w + 3*i + 5, -2*w = -4*i + 10. Let v(t) = 2*t - 7. What is v(w)?\n' | b'3\n' | deepmind/math_dataset |
b'Let f(u) be the second derivative of 299*u**4/12 + 187*u**2 - 180*u. Differentiate f(t) with respect to t.\n' | b'598*t\n' | b'Let f(u) be the second derivative of 299*u**4/12 + 187*u**2 - 180*u. Differentiate f(t) with respect to t.\n' | b'598*t\n' | deepmind/math_dataset |
b'Let u = -36 - -39. Suppose -u*n + 3 = -3. What is the third derivative of a**2 + 12*a**3 + 0*a**n - 5*a**3 - 9*a**2 wrt a?\n' | b'42\n' | b'Let u = -36 - -39. Suppose -u*n + 3 = -3. What is the third derivative of a**2 + 12*a**3 + 0*a**n - 5*a**3 - 9*a**2 wrt a?\n' | b'42\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 1 l, and 1 o when three letters picked without replacement from ltobuhl.\n' | b'2/35\n' | b'Calculate prob of picking 1 b, 1 l, and 1 o when three letters picked without replacement from ltobuhl.\n' | b'2/35\n' | deepmind/math_dataset |
b'Simplify (j*j**2*j/j**2*j**(-5)*j*j*j*j**2/j)/(((j/(j/(j/(j*j**(1/7)))))/j**(-2/5))/(j/(j**(-1/4)*j)*j*j**4)) assuming j is positive.\n' | b'j**(839/140)\n' | b'Simplify (j*j**2*j/j**2*j**(-5)*j*j*j*j**2/j)/(((j/(j/(j/(j*j**(1/7)))))/j**(-2/5))/(j/(j**(-1/4)*j)*j*j**4)) assuming j is positive.\n' | b'j**(839/140)\n' | deepmind/math_dataset |
b'Let k be -5 + 2 + (-1 - 31). Let a be (-161)/k - (-3 - (-39)/15). Solve 3*q = a*y + 3 - 11, 4*q - 8 = 2*y for q.\n' | b'4\n' | b'Let k be -5 + 2 + (-1 - 31). Let a be (-161)/k - (-3 - (-39)/15). Solve 3*q = a*y + 3 - 11, 4*q - 8 = 2*y for q.\n' | b'4\n' | deepmind/math_dataset |
b'Let i(p) be the third derivative of 0 - p**2 + 1/24*p**4 - 1/120*p**5 + 1/3*p**3 + 0*p. Let t(m) be the first derivative of i(m). What is t(2)?\n' | b'-1\n' | b'Let i(p) be the third derivative of 0 - p**2 + 1/24*p**4 - 1/120*p**5 + 1/3*p**3 + 0*p. Let t(m) be the first derivative of i(m). What is t(2)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let z(k) = 2*k**2 - 19*k - k**2 + 17*k. Suppose 39*a + 5 + 73 = 0. Give z(a).\n' | b'8\n' | b'Let z(k) = 2*k**2 - 19*k - k**2 + 17*k. Suppose 39*a + 5 + 73 = 0. Give z(a).\n' | b'8\n' | deepmind/math_dataset |
b'Let w = -1767 + 1772. Solve -w*b = 2*q - 2*b + 20, 5*b + 16 = q for q.\n' | b'-4\n' | b'Let w = -1767 + 1772. Solve -w*b = 2*q - 2*b + 20, 5*b + 16 = q for q.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 2 d when three letters picked without replacement from {g: 2, t: 2, d: 2, o: 3}?\n' | b'1/28\n' | b'What is prob of picking 1 o and 2 d when three letters picked without replacement from {g: 2, t: 2, d: 2, o: 3}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 3, l: 1}. What is prob of picking 1 l and 1 q?\n' | b'1/2\n' | b'Two letters picked without replacement from {q: 3, l: 1}. What is prob of picking 1 l and 1 q?\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify (((v**3*v**(-2/11)*v*v*v)/((v**(-3)*v)/v*v**6))**43)**(-14) assuming v is positive.\n' | b'v**(-18662/11)\n' | b'Simplify (((v**3*v**(-2/11)*v*v*v)/((v**(-3)*v)/v*v**6))**43)**(-14) assuming v is positive.\n' | b'v**(-18662/11)\n' | deepmind/math_dataset |
b'Let h(y) = -6*y. Let z be h(-1). Let v be 16/12*z/4. Solve 4*s = -4*w - 4, -w + 3*s = v + 3 for w.\n' | b'-2\n' | b'Let h(y) = -6*y. Let z be h(-1). Let v be 16/12*z/4. Solve 4*s = -4*w - 4, -w + 3*s = v + 3 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence llw when three letters picked without replacement from {w: 1, l: 3}.\n' | b'1/4\n' | b'Calculate prob of sequence llw when three letters picked without replacement from {w: 1, l: 3}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Simplify ((z**(2/9))**42*(z**(5/7)/z)/((z**1/z)/z))**(-2) assuming z is positive.\n' | b'z**(-422/21)\n' | b'Simplify ((z**(2/9))**42*(z**(5/7)/z)/((z**1/z)/z))**(-2) assuming z is positive.\n' | b'z**(-422/21)\n' | deepmind/math_dataset |
b'Suppose 0*o + 5 = o. Let j(l) = l**2 + o + 7*l - 6 + 8. What is j(-5)?\n' | b'-3\n' | b'Suppose 0*o + 5 = o. Let j(l) = l**2 + o + 7*l - 6 + 8. What is j(-5)?\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffete. Give prob of sequence fe.\n' | b'1/5\n' | b'Two letters picked without replacement from ffete. Give prob of sequence fe.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let i = 562 + -562. Solve l + i*f - 2*f + 1 = 0, 0 = -4*l - 2*f - 14 for l.\n' | b'-3\n' | b'Let i = 562 + -562. Solve l + i*f - 2*f + 1 = 0, 0 = -4*l - 2*f - 14 for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ln when two letters picked without replacement from {c: 2, u: 2, l: 1, n: 1}.\n' | b'1/30\n' | b'Calculate prob of sequence ln when two letters picked without replacement from {c: 2, u: 2, l: 1, n: 1}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from shsipilxsiilsspi. Give prob of picking 1 s and 1 x.\n' | b'1/24\n' | b'Two letters picked without replacement from shsipilxsiilsspi. Give prob of picking 1 s and 1 x.\n' | b'1/24\n' | deepmind/math_dataset |
b'What is prob of picking 2 a, 1 z, and 1 u when four letters picked without replacement from zauau?\n' | b'2/5\n' | b'What is prob of picking 2 a, 1 z, and 1 u when four letters picked without replacement from zauau?\n' | b'2/5\n' | deepmind/math_dataset |
b'Let m be 115/40 + 2/16. Let r(o) = o**2 - 2*o - 4. Let i be r(4). Solve 25 = -i*x + n, -m*x + 3*n = -0*x + 30 for x.\n' | b'-5\n' | b'Let m be 115/40 + 2/16. Let r(o) = o**2 - 2*o - 4. Let i be r(4). Solve 25 = -i*x + n, -m*x + 3*n = -0*x + 30 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mtxmx. What is prob of sequence mmt?\n' | b'1/30\n' | b'Three letters picked without replacement from mtxmx. What is prob of sequence mmt?\n' | b'1/30\n' | deepmind/math_dataset |
b'Simplify (c/(c*(c**8/c*c*c)/c*c*c)*c*c*(c/(c**(2/3)/c*c))/c*c)**47/(c*(c*c*c*c**(-2/11)*c)/c*c*c**2*(c**(-2/3))**(-3/2)) assuming c is positive.\n' | b'c**(-12149/33)\n' | b'Simplify (c/(c*(c**8/c*c*c)/c*c*c)*c*c*(c/(c**(2/3)/c*c))/c*c)**47/(c*(c*c*c*c**(-2/11)*c)/c*c*c**2*(c**(-2/3))**(-3/2)) assuming c is positive.\n' | b'c**(-12149/33)\n' | deepmind/math_dataset |
b'Suppose -20 = -10*c - 10*c. Let f(a) = a**2 + 4*a - 3. Let b be f(-6). Let u(g) = g**2 - 20*g**3 + 15*g**3 - 1 - b*g**3. Calculate u(c).\n' | b'-14\n' | b'Suppose -20 = -10*c - 10*c. Let f(a) = a**2 + 4*a - 3. Let b be f(-6). Let u(g) = g**2 - 20*g**3 + 15*g**3 - 1 - b*g**3. Calculate u(c).\n' | b'-14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gqkqzkzzg. What is prob of sequence qg?\n' | b'1/18\n' | b'Two letters picked without replacement from gqkqzkzzg. What is prob of sequence qg?\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify (r/(r**3*r)*r/r**(3/5))**(-23)/((r**(-1/2)/(r*r**9))/(r**2)**(-23/4)) assuming r is positive.\n' | b'r**(294/5)\n' | b'Simplify (r/(r**3*r)*r/r**(3/5))**(-23)/((r**(-1/2)/(r*r**9))/(r**2)**(-23/4)) assuming r is positive.\n' | b'r**(294/5)\n' | deepmind/math_dataset |
b'Let c(j) = -3*j**2 - 5*j + 3. Suppose -2*a + 12 = f, -3*a - 4*f - f + 32 = 0. Let d be (a/(-5))/((-16)/(-80)). Determine c(d).\n' | b'-25\n' | b'Let c(j) = -3*j**2 - 5*j + 3. Suppose -2*a + 12 = f, -3*a - 4*f - f + 32 = 0. Let d be (a/(-5))/((-16)/(-80)). Determine c(d).\n' | b'-25\n' | deepmind/math_dataset |
b'Let w(b) = 3*b - 16. Let h be w(12). Let l = h + -16. Solve l*n + n + 25 = -2*j, -3*j - 3 = -4*n for n.\n' | b'-3\n' | b'Let w(b) = 3*b - 16. Let h be w(12). Let l = h + -16. Solve l*n + n + 25 = -2*j, -3*j - 3 = -4*n for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 2 g when three letters picked without replacement from uccuqcugcgqqucgcucv.\n' | b'5/323\n' | b'Calculate prob of picking 1 u and 2 g when three letters picked without replacement from uccuqcugcgqqucgcucv.\n' | b'5/323\n' | deepmind/math_dataset |
b'Simplify (m**(-2/9))**(-38)/((m*m*m*m**(1/7))/(m**0*m)) assuming m is positive.\n' | b'm**(397/63)\n' | b'Simplify (m**(-2/9))**(-38)/((m*m*m*m**(1/7))/(m**0*m)) assuming m is positive.\n' | b'm**(397/63)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 7, t: 8, u: 5}. Give prob of sequence ugtt.\n' | b'49/2907\n' | b'Four letters picked without replacement from {g: 7, t: 8, u: 5}. Give prob of sequence ugtt.\n' | b'49/2907\n' | deepmind/math_dataset |
b'Let q = 4 - 2. Suppose 0 = -2*n + 2, 2 + 2 = r + q*n. Suppose -13 = -r*p - 3. Solve -5*o + 5 = -3*x + 3, 5 = p*o for x.\n' | b'1\n' | b'Let q = 4 - 2. Suppose 0 = -2*n + 2, 2 + 2 = r + q*n. Suppose -13 = -r*p - 3. Solve -5*o + 5 = -3*x + 3, 5 = p*o for x.\n' | b'1\n' | deepmind/math_dataset |
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