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'Three letters picked without replacement from {h: 6, d: 5, g: 3, f: 2, n: 2}. What is prob of picking 1 n and 2 f?\n' | b'1/408\n' | b'Three letters picked without replacement from {h: 6, d: 5, g: 3, f: 2, n: 2}. What is prob of picking 1 n and 2 f?\n' | b'1/408\n' | deepmind/math_dataset |
b'Let a(o) be the second derivative of 5*o**4/12 - 2*o**2 - 5*o. Let b be a(2). What is the derivative of h - b*h + 9*h - 8 wrt h?\n' | b'-6\n' | b'Let a(o) be the second derivative of 5*o**4/12 - 2*o**2 - 5*o. Let b be a(2). What is the derivative of h - b*h + 9*h - 8 wrt h?\n' | b'-6\n' | deepmind/math_dataset |
b'Let b(g) = g**2 - 2*g + 1. Suppose 3 = -l + 4. Let n be b(l). Suppose 5*s - 76 - 4 = 0. Solve 4*f - 2*t = -s, n = f - 5*t - 5 + 18 for f.\n' | b'-3\n' | b'Let b(g) = g**2 - 2*g + 1. Suppose 3 = -l + 4. Let n be b(l). Suppose 5*s - 76 - 4 = 0. Solve 4*f - 2*t = -s, n = f - 5*t - 5 + 18 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f(b) = -7 + 6 + 13 + 17 - 3*b. What is f(8)?\n' | b'5\n' | b'Let f(b) = -7 + 6 + 13 + 17 - 3*b. What is f(8)?\n' | b'5\n' | deepmind/math_dataset |
b'Let p = -514 + 519. Solve -4*z + 5 = -j + 1, p = 5*j + 5*z for j.\n' | b'0\n' | b'Let p = -514 + 519. Solve -4*z + 5 = -j + 1, p = 5*j + 5*z for j.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 4, i: 2, a: 2, s: 2}. What is prob of picking 1 s and 1 y?\n' | b'8/45\n' | b'Two letters picked without replacement from {y: 4, i: 2, a: 2, s: 2}. What is prob of picking 1 s and 1 y?\n' | b'8/45\n' | deepmind/math_dataset |
b'Calculate prob of sequence ll when two letters picked without replacement from tlll.\n' | b'1/2\n' | b'Calculate prob of sequence ll when two letters picked without replacement from tlll.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let c(x) = 1. Let v(o) = -o - 1. Let p(s) = -2*c(s) - 2*v(s). Let n be p(1). Solve n*h + 10 = 0, -h - 7 = 2*j - 4 for j.\n' | b'1\n' | b'Let c(x) = 1. Let v(o) = -o - 1. Let p(s) = -2*c(s) - 2*v(s). Let n be p(1). Solve n*h + 10 = 0, -h - 7 = 2*j - 4 for j.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 3*g + 4*z - 17 = 0, -3*g + 4*z + 4 = g. What is the third derivative of 19*r**5 - 269*r**2 + 322*r**2 - 3*r**3 + g*r**3 wrt r?\n' | b'1140*r**2\n' | b'Suppose 3*g + 4*z - 17 = 0, -3*g + 4*z + 4 = g. What is the third derivative of 19*r**5 - 269*r**2 + 322*r**2 - 3*r**3 + g*r**3 wrt r?\n' | b'1140*r**2\n' | deepmind/math_dataset |
b'Let o(f) be the second derivative of -f**6/240 + f**5/60 - f**4/12 - 4*f. Let z(t) be the third derivative of o(t). Suppose -r = -2 - 1. Give z(r).\n' | b'-7\n' | b'Let o(f) be the second derivative of -f**6/240 + f**5/60 - f**4/12 - 4*f. Let z(t) be the third derivative of o(t). Suppose -r = -2 - 1. Give z(r).\n' | b'-7\n' | deepmind/math_dataset |
b'Let z be (492/(-1722))/(1/35*-2). Let j = -6 - -6. Solve -5*x - 5*s - 6 - 4 = j, -17 = z*x - 2*s for x.\n' | b'-3\n' | b'Let z be (492/(-1722))/(1/35*-2). Let j = -6 - -6. Solve -5*x - 5*s - 6 - 4 = j, -17 = z*x - 2*s for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Let b(o) = -2*o**2 + 30*o + 13. Let d be b(15). Find the second derivative of -52*i - 23*i**2 - 13*i - 11*i + d*i wrt i.\n' | b'-46\n' | b'Let b(o) = -2*o**2 + 30*o + 13. Let d be b(15). Find the second derivative of -52*i - 23*i**2 - 13*i - 11*i + d*i wrt i.\n' | b'-46\n' | deepmind/math_dataset |
b'Suppose 0 = -3*i - i. Suppose i = v + j - 2, -v = -j - 3*j - 22. Solve -4*r - 5*y + 15 = 0, v = -4*r + 5*r + 2*y for r.\n' | b'0\n' | b'Suppose 0 = -3*i - i. Suppose i = v + j - 2, -v = -j - 3*j - 22. Solve -4*r - 5*y + 15 = 0, v = -4*r + 5*r + 2*y for r.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -2*c = 3*h - 24, -5*c - 235*h + 55 = -230*h. Let a(y) = y**3 - 31*y**2 + 197*y + 11. Determine a(c).\n' | b'2\n' | b'Suppose -2*c = 3*h - 24, -5*c - 235*h + 55 = -230*h. Let a(y) = y**3 - 31*y**2 + 197*y + 11. Determine a(c).\n' | b'2\n' | deepmind/math_dataset |
b'Let a(j) = -j**3 + 13*j**2 - j - 118. Let q be a(12). Solve 2*s = -4*o + q, 0*o + 3*s - 12 = -3*o for o.\n' | b'3\n' | b'Let a(j) = -j**3 + 13*j**2 - j - 118. Let q be a(12). Solve 2*s = -4*o + q, 0*o + 3*s - 12 = -3*o for o.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0 = 2*l + 3 - 7. Suppose 0*p + l*p = -10. Let r(o) = -o**2 - 2*o + 7. What is r(p)?\n' | b'-8\n' | b'Suppose 0 = 2*l + 3 - 7. Suppose 0*p + l*p = -10. Let r(o) = -o**2 - 2*o + 7. What is r(p)?\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify c*c/(c*c/(c*c/((c**4/c*c)/c))*c)*c*((c*c**11/c)/c*c)/c assuming c is positive.\n' | b'c**9\n' | b'Simplify c*c/(c*c/(c*c/((c**4/c*c)/c))*c)*c*((c*c**11/c)/c*c)/c assuming c is positive.\n' | b'c**9\n' | deepmind/math_dataset |
b'Let w(m) = -m**3 + 4*m**2 - 4*m + 4. Let h = -35 + 38. Give w(h).\n' | b'1\n' | b'Let w(m) = -m**3 + 4*m**2 - 4*m + 4. Let h = -35 + 38. Give w(h).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence hxx when three letters picked without replacement from wxxxhxhhxxxwhl.\n' | b'1/13\n' | b'Calculate prob of sequence hxx when three letters picked without replacement from wxxxhxhhxxxwhl.\n' | b'1/13\n' | deepmind/math_dataset |
b'Suppose 0 = -0*k + k. Differentiate -9*f + 10 + 18*f + k wrt f.\n' | b'9\n' | b'Suppose 0 = -0*k + k. Differentiate -9*f + 10 + 18*f + k wrt f.\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 5*o - 13 = -i + 6, 0 = 2*o + 2*i - 14. Let a be 0/(-3*(-2)/o). Solve 0 = -r + 3*w + 13 - 2, a = -3*r + 5*w + 13 for r.\n' | b'-4\n' | b'Suppose 5*o - 13 = -i + 6, 0 = 2*o + 2*i - 14. Let a be 0/(-3*(-2)/o). Solve 0 = -r + 3*w + 13 - 2, a = -3*r + 5*w + 13 for r.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (i**2)**(-40)*(i*(i*i**(2/41))/i)/(i*i**9/i) assuming i is positive.\n' | b'i**(-3606/41)\n' | b'Simplify (i**2)**(-40)*(i*(i*i**(2/41))/i)/(i*i**9/i) assuming i is positive.\n' | b'i**(-3606/41)\n' | deepmind/math_dataset |
b'Let n(q) = -q**2 - 2*q + 2. Let s = 2 - 5. Let d be (-2 + s)/((-2)/(-2)). Give n(d).\n' | b'-13\n' | b'Let n(q) = -q**2 - 2*q + 2. Let s = 2 - 5. Let d be (-2 + s)/((-2)/(-2)). Give n(d).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify ((l*l**(-12)*l**28)/(l**32/((l/(l/l**(1/44)))/l)))**(3/28) assuming l is positive.\n' | b'l**(-2109/1232)\n' | b'Simplify ((l*l**(-12)*l**28)/(l**32/((l/(l/l**(1/44)))/l)))**(3/28) assuming l is positive.\n' | b'l**(-2109/1232)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 m and 2 h when four letters picked without replacement from mmsmhlmmllth.\n' | b'2/99\n' | b'Calculate prob of picking 2 m and 2 h when four letters picked without replacement from mmsmhlmmllth.\n' | b'2/99\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z when two letters picked without replacement from {z: 4, p: 1, t: 2}.\n' | b'2/7\n' | b'Calculate prob of picking 2 z when two letters picked without replacement from {z: 4, p: 1, t: 2}.\n' | b'2/7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xdfxvvdxvtddfddddtx. Give prob of sequence fdvt.\n' | b'1/969\n' | b'Four letters picked without replacement from xdfxvvdxvtddfddddtx. Give prob of sequence fdvt.\n' | b'1/969\n' | deepmind/math_dataset |
b'Let r = -32 + 2. Let x be 10*1*(-4)/8. Let u be ((-1)/(-3))/(x/r). Solve t - 4*t - 1 = u*a, 2 = -2*a - 4*t for a.\n' | b'1\n' | b'Let r = -32 + 2. Let x be 10*1*(-4)/8. Let u be ((-1)/(-3))/(x/r). Solve t - 4*t - 1 = u*a, 2 = -2*a - 4*t for a.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nqqqeqqqnqnncqc. What is prob of picking 1 q and 3 n?\n' | b'32/1365\n' | b'Four letters picked without replacement from nqqqeqqqnqnncqc. What is prob of picking 1 q and 3 n?\n' | b'32/1365\n' | deepmind/math_dataset |
b'Simplify z/z**4*z*((z*z/(z/(z*z*(z*z/z**14)/z*z)*z)*z)/z)/z assuming z is positive.\n' | b'z**(-13)\n' | b'Simplify z/z**4*z*((z*z/(z/(z*z*(z*z/z**14)/z*z)*z)*z)/z)/z assuming z is positive.\n' | b'z**(-13)\n' | deepmind/math_dataset |
b'Let n(l) = 2*l**2 - 14*l + 26. Let w be n(3). Suppose w = 2*y - 2, y = -4*q + 18. Solve -35 = -q*j - 5*k, 3*j = j + 5*k - 5 for j.\n' | b'5\n' | b'Let n(l) = 2*l**2 - 14*l + 26. Let w be n(3). Suppose w = 2*y - 2, y = -4*q + 18. Solve -35 = -q*j - 5*k, 3*j = j + 5*k - 5 for j.\n' | b'5\n' | deepmind/math_dataset |
b'Let n = 73 + -68. What is the third derivative of 30*i**2 - 3*i**5 - 8*i**2 + n*i**5 + 18*i**5 wrt i?\n' | b'1200*i**2\n' | b'Let n = 73 + -68. What is the third derivative of 30*i**2 - 3*i**5 - 8*i**2 + n*i**5 + 18*i**5 wrt i?\n' | b'1200*i**2\n' | deepmind/math_dataset |
b'Simplify ((g**(-1))**(11/5)*g**(-1/8)*g**4/g)/(((g**(-6)/g)/g*g**(2/5))/((g/(g**(-2/7)*g))/((g*g**(-6/5))/g))) assuming g is positive.\n' | b'g**(2733/280)\n' | b'Simplify ((g**(-1))**(11/5)*g**(-1/8)*g**4/g)/(((g**(-6)/g)/g*g**(2/5))/((g/(g**(-2/7)*g))/((g*g**(-6/5))/g))) assuming g is positive.\n' | b'g**(2733/280)\n' | deepmind/math_dataset |
b'Let l = -25 + 28. What is the third derivative of -8*c**3 + 10*c**2 + c**3 - c**3 - 3*c**l wrt c?\n' | b'-66\n' | b'Let l = -25 + 28. What is the third derivative of -8*c**3 + 10*c**2 + c**3 - c**3 - 3*c**l wrt c?\n' | b'-66\n' | deepmind/math_dataset |
b'Let x be 15/180*66 - ((-2 - -1) + 4). Let v(f) be the first derivative of -1/3*f**3 + x*f**2 + 8*f - 29. Determine v(6).\n' | b'2\n' | b'Let x be 15/180*66 - ((-2 - -1) + 4). Let v(f) be the first derivative of -1/3*f**3 + x*f**2 + 8*f - 29. Determine v(6).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -2*l = 3*n - 4*n - 11, 0 = 5*l + 2*n - 5. Let b(k) = 4*k**2 + 1 + 2*k - l*k**2 + 10*k**2 - 3*k**2. Let u be -4 - 1 - (14 - 18). What is b(u)?\n' | b'7\n' | b'Suppose -2*l = 3*n - 4*n - 11, 0 = 5*l + 2*n - 5. Let b(k) = 4*k**2 + 1 + 2*k - l*k**2 + 10*k**2 - 3*k**2. Let u be -4 - 1 - (14 - 18). What is b(u)?\n' | b'7\n' | deepmind/math_dataset |
b'Let w be 792/22 + (-1 - (0 + -4)). Let p = w + -39. Suppose p = 5*m + 10 - 35. Solve -2*i = j + 1 - 2, -m*i + 40 = -5*j for i.\n' | b'3\n' | b'Let w be 792/22 + (-1 - (0 + -4)). Let p = w + -39. Suppose p = 5*m + 10 - 35. Solve -2*i = j + 1 - 2, -m*i + 40 = -5*j for i.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 2, c: 1, j: 2, p: 3, t: 1, h: 6}. What is prob of picking 1 j, 1 c, and 2 e?\n' | b'2/1365\n' | b'Four letters picked without replacement from {e: 2, c: 1, j: 2, p: 3, t: 1, h: 6}. What is prob of picking 1 j, 1 c, and 2 e?\n' | b'2/1365\n' | deepmind/math_dataset |
b'Suppose -4 - 14 = -6*i. Let w(q) = -3 + 2 + 3 + q**2 + 3*q - i. Determine w(3).\n' | b'17\n' | b'Suppose -4 - 14 = -6*i. Let w(q) = -3 + 2 + 3 + q**2 + 3*q - i. Determine w(3).\n' | b'17\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 4, c: 3, v: 1, x: 2, d: 2, k: 3}. What is prob of picking 1 d and 1 x?\n' | b'4/105\n' | b'Two letters picked without replacement from {z: 4, c: 3, v: 1, x: 2, d: 2, k: 3}. What is prob of picking 1 d and 1 x?\n' | b'4/105\n' | deepmind/math_dataset |
b'Calculate prob of sequence wwss when four letters picked without replacement from ssswsssswssssssw.\n' | b'3/140\n' | b'Calculate prob of sequence wwss when four letters picked without replacement from ssswsssswssssssw.\n' | b'3/140\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 d when three letters picked without replacement from {d: 5, c: 8, m: 4}.\n' | b'2/17\n' | b'Calculate prob of picking 1 c and 2 d when three letters picked without replacement from {d: 5, c: 8, m: 4}.\n' | b'2/17\n' | deepmind/math_dataset |
b'Simplify (n**(8/3)*n/(n*n/((n**2*n)/n)*n))**17 assuming n is positive.\n' | b'n**(136/3)\n' | b'Simplify (n**(8/3)*n/(n*n/((n**2*n)/n)*n))**17 assuming n is positive.\n' | b'n**(136/3)\n' | deepmind/math_dataset |
b'Suppose 0 = -0*o + 4*o + 24. Let t(h) = h**3 + 7*h**2 + 5*h - 2. Calculate t(o).\n' | b'4\n' | b'Suppose 0 = -0*o + 4*o + 24. Let t(h) = h**3 + 7*h**2 + 5*h - 2. Calculate t(o).\n' | b'4\n' | deepmind/math_dataset |
b'Let x(p) be the first derivative of -p**6/40 - 5*p**4/24 - 2*p**3 - 8. Let b(g) be the third derivative of x(g). What is the first derivative of b(z) wrt z?\n' | b'-18*z\n' | b'Let x(p) be the first derivative of -p**6/40 - 5*p**4/24 - 2*p**3 - 8. Let b(g) be the third derivative of x(g). What is the first derivative of b(z) wrt z?\n' | b'-18*z\n' | deepmind/math_dataset |
b'Suppose 12 = -4*o, -5*g = -5*o - 6 - 24. What is the first derivative of -7*n**3 + n - n + 11 - 8*n**g wrt n?\n' | b'-45*n**2\n' | b'Suppose 12 = -4*o, -5*g = -5*o - 6 - 24. What is the first derivative of -7*n**3 + n - n + 11 - 8*n**g wrt n?\n' | b'-45*n**2\n' | deepmind/math_dataset |
b'Simplify ((i**(1/3)*i*i**(1/3))/(i**(-4/11)*i**5*i))**18 assuming i is positive.\n' | b'i**(-786/11)\n' | b'Simplify ((i**(1/3)*i*i**(1/3))/(i**(-4/11)*i**5*i))**18 assuming i is positive.\n' | b'i**(-786/11)\n' | deepmind/math_dataset |
b'Let q(x) = -x**3 + 4*x**2 - 3*x + 3. Let m be q(3). Suppose -4*i = d - 5 - 3, -d - 19 = -5*i. Solve -21 = -3*w + 3*h, -m = 3*w + i*h + 2*h for w.\n' | b'4\n' | b'Let q(x) = -x**3 + 4*x**2 - 3*x + 3. Let m be q(3). Suppose -4*i = d - 5 - 3, -d - 19 = -5*i. Solve -21 = -3*w + 3*h, -m = 3*w + i*h + 2*h for w.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (p*(p/(p/(((p*p*p**13)/p)/p))*p)/p)/p**(2/9)*(p*(p**(3/4)*p)/p)/(p/p**(3/16)) assuming p is positive.\n' | b'p**(2119/144)\n' | b'Simplify (p*(p/(p/(((p*p*p**13)/p)/p))*p)/p)/p**(2/9)*(p*(p**(3/4)*p)/p)/(p/p**(3/16)) assuming p is positive.\n' | b'p**(2119/144)\n' | deepmind/math_dataset |
b'Calculate prob of sequence llfl when four letters picked without replacement from {f: 3, b: 4, u: 1, l: 5}.\n' | b'3/286\n' | b'Calculate prob of sequence llfl when four letters picked without replacement from {f: 3, b: 4, u: 1, l: 5}.\n' | b'3/286\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 2, q: 3}. What is prob of picking 1 u and 3 q?\n' | b'2/5\n' | b'Four letters picked without replacement from {u: 2, q: 3}. What is prob of picking 1 u and 3 q?\n' | b'2/5\n' | deepmind/math_dataset |
b'Find the second derivative of -12*p - 53*p - 13*p + 105*p**2 wrt p.\n' | b'210\n' | b'Find the second derivative of -12*p - 53*p - 13*p + 105*p**2 wrt p.\n' | b'210\n' | deepmind/math_dataset |
b'Suppose -57 = -49*p + 90. Solve -6*t + 2*s + 12 = -2*t, -p*t + 3*s + 15 = 0 for t.\n' | b'1\n' | b'Suppose -57 = -49*p + 90. Solve -6*t + 2*s + 12 = -2*t, -p*t + 3*s + 15 = 0 for t.\n' | b'1\n' | deepmind/math_dataset |
b'Let s = 26 - 21. Suppose -v - 2*v = 2*k - 262, v - s*k - 110 = 0. Suppose -v = -3*g - 0*g. Solve 0*d - 5*d - g = 5*f, 2*f = -4*d - 14 for d.\n' | b'-1\n' | b'Let s = 26 - 21. Suppose -v - 2*v = 2*k - 262, v - s*k - 110 = 0. Suppose -v = -3*g - 0*g. Solve 0*d - 5*d - g = 5*f, 2*f = -4*d - 14 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (q**(2/7)*q**5/q*q*q)**1*(q*q**(-1))**(2/7)/(q*(q/q**(2/7))/q*q/q**2) assuming q is positive.\n' | b'q**(46/7)\n' | b'Simplify (q**(2/7)*q**5/q*q*q)**1*(q*q**(-1))**(2/7)/(q*(q/q**(2/7))/q*q/q**2) assuming q is positive.\n' | b'q**(46/7)\n' | deepmind/math_dataset |
b'Let y(q) be the first derivative of -21/4*q**4 + 0*q + 21/2*q**2 + 1 + 0*q**3. Find the second derivative of y(c) wrt c.\n' | b'-126*c\n' | b'Let y(q) be the first derivative of -21/4*q**4 + 0*q + 21/2*q**2 + 1 + 0*q**3. Find the second derivative of y(c) wrt c.\n' | b'-126*c\n' | deepmind/math_dataset |
b'Suppose 5 = 3*g - 4. Suppose -18 = -6*k + g*k. Find the first derivative of -2 + 0*d + k*d - 4*d wrt d.\n' | b'2\n' | b'Suppose 5 = 3*g - 4. Suppose -18 = -6*k + g*k. Find the first derivative of -2 + 0*d + k*d - 4*d wrt d.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((u/u**3)/u)/u**1)**(-37) assuming u is positive.\n' | b'u**148\n' | b'Simplify (((u/u**3)/u)/u**1)**(-37) assuming u is positive.\n' | b'u**148\n' | deepmind/math_dataset |
b'Simplify g**(-1/2)/(g/(g**(5/6)*g))*g**(-3/4)*g/(g**8/g)*((g*g/(g**(-2/3)*g))**(-2/27))**23 assuming g is positive.\n' | b'g**(-2999/324)\n' | b'Simplify g**(-1/2)/(g/(g**(5/6)*g))*g**(-3/4)*g/(g**8/g)*((g*g/(g**(-2/3)*g))**(-2/27))**23 assuming g is positive.\n' | b'g**(-2999/324)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tceet. Give prob of picking 2 t.\n' | b'1/10\n' | b'Two letters picked without replacement from tceet. Give prob of picking 2 t.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pzzpype. Give prob of sequence epp.\n' | b'1/35\n' | b'Three letters picked without replacement from pzzpype. Give prob of sequence epp.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let z(n) = -n**3 + 8*n**2 + 2*n + 1. Let j be z(8). Let m = 22 - j. Solve i = 2*o + 2, 0*o + m*i = -4*o + 10 for o.\n' | b'0\n' | b'Let z(n) = -n**3 + 8*n**2 + 2*n + 1. Let j be z(8). Let m = 22 - j. Solve i = 2*o + 2, 0*o + m*i = -4*o + 10 for o.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jojojjooojjo. Give prob of picking 3 j and 1 o.\n' | b'8/33\n' | b'Four letters picked without replacement from jojojjooojjo. Give prob of picking 3 j and 1 o.\n' | b'8/33\n' | deepmind/math_dataset |
b'Let a(f) = -f**2 - 7*f. Let w be a(-7). Suppose 2*r - r - 3 = w. What is the third derivative of t**3 + 0*t**2 + 4 - 4 + r*t**2 wrt t?\n' | b'6\n' | b'Let a(f) = -f**2 - 7*f. Let w be a(-7). Suppose 2*r - r - 3 = w. What is the third derivative of t**3 + 0*t**2 + 4 - 4 + r*t**2 wrt t?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (v/v**9*v*v*v)/(v**(-17/2)/v) assuming v is positive.\n' | b'v**(9/2)\n' | b'Simplify (v/v**9*v*v*v)/(v**(-17/2)/v) assuming v is positive.\n' | b'v**(9/2)\n' | deepmind/math_dataset |
b'Let v(u) = 2*u - 8. Let a be (-19 - -23)/((-5)/(-3) - 1). What is v(a)?\n' | b'4\n' | b'Let v(u) = 2*u - 8. Let a be (-19 - -23)/((-5)/(-3) - 1). What is v(a)?\n' | b'4\n' | deepmind/math_dataset |
b'Let y = 16 - 12. Suppose 3*s - 10 = -k, -4*k = -2*s - 16 + y. Solve 7*l + 28 = -4*z + 2*l, -s*z - 3*l = 16 for z.\n' | b'-2\n' | b'Let y = 16 - 12. Suppose 3*s - 10 = -k, -4*k = -2*s - 16 + y. Solve 7*l + 28 = -4*z + 2*l, -s*z - 3*l = 16 for z.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -3*d, -2*r + 214*d = 212*d - 18. Solve z + r = 2*z + 2*i, -5*z + 4*i + 17 = 0 for z.\n' | b'5\n' | b'Suppose 0 = -3*d, -2*r + 214*d = 212*d - 18. Solve z + r = 2*z + 2*i, -5*z + 4*i + 17 = 0 for z.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -34*y + 46 = -90. Solve -4*k + 18 = -5*f, -4*f + y*k = -10 + 26 for f.\n' | b'-2\n' | b'Suppose -34*y + 46 = -90. Solve -4*k + 18 = -5*f, -4*f + y*k = -10 + 26 for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x(y) = 1 - 3*y - 4*y - 2*y + 4*y. Let r be x(-1). Solve -6*w - r = -2*w + 3*n, -w + n + 2 = 0 for w.\n' | b'0\n' | b'Let x(y) = 1 - 3*y - 4*y - 2*y + 4*y. Let r be x(-1). Solve -6*w - r = -2*w + 3*n, -w + n + 2 = 0 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 i when two letters picked without replacement from ixiwwixxx.\n' | b'1/6\n' | b'Calculate prob of picking 1 w and 1 i when two letters picked without replacement from ixiwwixxx.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of sequence yutt when four letters picked without replacement from uutmttmummmsymu?\n' | b'1/1365\n' | b'What is prob of sequence yutt when four letters picked without replacement from uutmttmummmsymu?\n' | b'1/1365\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jhllzllnjqjjj. What is prob of picking 1 q and 1 h?\n' | b'1/78\n' | b'Two letters picked without replacement from jhllzllnjqjjj. What is prob of picking 1 q and 1 h?\n' | b'1/78\n' | deepmind/math_dataset |
b'Let q(d) = d - 28. Let a = -5370 - -5381. Give q(a).\n' | b'-17\n' | b'Let q(d) = d - 28. Let a = -5370 - -5381. Give q(a).\n' | b'-17\n' | deepmind/math_dataset |
b'Suppose -5*h + 7*n - 4*n = 75, 3*n = 0. Let f(k) = k**3 + 14*k**2 - 17*k - 17. What is f(h)?\n' | b'13\n' | b'Suppose -5*h + 7*n - 4*n = 75, 3*n = 0. Let f(k) = k**3 + 14*k**2 - 17*k - 17. What is f(h)?\n' | b'13\n' | deepmind/math_dataset |
b'Let z be (0/(-2))/(1/1). Solve -5*h - b + z = -5, -4*h = b - 3 for h.\n' | b'2\n' | b'Let z be (0/(-2))/(1/1). Solve -5*h - b + z = -5, -4*h = b - 3 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Find the third derivative of 63*q**3 - 13*q**2 - 2277 + 2279 - 2*q**2 wrt q.\n' | b'378\n' | b'Find the third derivative of 63*q**3 - 13*q**2 - 2277 + 2279 - 2*q**2 wrt q.\n' | b'378\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kvvxvkxov. What is prob of sequence xx?\n' | b'1/36\n' | b'Two letters picked without replacement from kvvxvkxov. What is prob of sequence xx?\n' | b'1/36\n' | deepmind/math_dataset |
b'Let d be (528/36)/((-8)/(-18)). What is the second derivative of 41*c + d*c - 72*c + 18 + 38*c**2 wrt c?\n' | b'76\n' | b'Let d be (528/36)/((-8)/(-18)). What is the second derivative of 41*c + d*c - 72*c + 18 + 38*c**2 wrt c?\n' | b'76\n' | deepmind/math_dataset |
b'What is the derivative of 32 - 15 + 9*r - 13 wrt r?\n' | b'9\n' | b'What is the derivative of 32 - 15 + 9*r - 13 wrt r?\n' | b'9\n' | deepmind/math_dataset |
b'Suppose -3*i + 9 = -4*h, 0 = -5*h - 3*i - 15 - 30. Let l = 583 + -578. Let g(j) = l*j - 13 + 7 + 12 - 17*j + 15*j. What is g(h)?\n' | b'-12\n' | b'Suppose -3*i + 9 = -4*h, 0 = -5*h - 3*i - 15 - 30. Let l = 583 + -578. Let g(j) = l*j - 13 + 7 + 12 - 17*j + 15*j. What is g(h)?\n' | b'-12\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 y when two letters picked without replacement from wwywwwywwwwywnywwyww?\n' | b'1/38\n' | b'What is prob of picking 1 n and 1 y when two letters picked without replacement from wwywwwywwwwywnywwyww?\n' | b'1/38\n' | deepmind/math_dataset |
b'Let w be (-11 + 26)*(-1)/(-3). Let v be (-1 + 1)/(9 - 7). Let u(l) = v*l + 0*l - l + 1 + 0*l. Determine u(w).\n' | b'-4\n' | b'Let w be (-11 + 26)*(-1)/(-3). Let v be (-1 + 1)/(9 - 7). Let u(l) = v*l + 0*l - l + 1 + 0*l. Determine u(w).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 3*s = 5*t - 38, -s + 19 = t + 13. Solve w + f = 5*f - 6, 0 = -3*w + f - t for w.\n' | b'-2\n' | b'Suppose 3*s = 5*t - 38, -s + 19 = t + 13. Solve w + f = 5*f - 6, 0 = -3*w + f - t for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y = -2 + -8. Let h = -558 + 562. Let x(g) = -7*g + 6*g**2 - 8*g**2 + g**2 - h*g - 13. Determine x(y).\n' | b'-3\n' | b'Let y = -2 + -8. Let h = -558 + 562. Let x(g) = -7*g + 6*g**2 - 8*g**2 + g**2 - h*g - 13. Determine x(y).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (s**(-6/5)/s*s*s**(-14)*s)**38 assuming s is positive.\n' | b's**(-2698/5)\n' | b'Simplify (s**(-6/5)/s*s*s**(-14)*s)**38 assuming s is positive.\n' | b's**(-2698/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yxxxxxyxyybbxbyx. Give prob of picking 1 x, 1 y, and 1 b.\n' | b'3/14\n' | b'Three letters picked without replacement from yxxxxxyxyybbxbyx. Give prob of picking 1 x, 1 y, and 1 b.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let f(z) = -z**3 - 19*z**2 - 3*z - 55. Let o be f(-19). Find the second derivative of 37*n**3 + o*n**2 - 13*n - 2 - 2*n**2 + 26*n wrt n.\n' | b'222*n\n' | b'Let f(z) = -z**3 - 19*z**2 - 3*z - 55. Let o be f(-19). Find the second derivative of 37*n**3 + o*n**2 - 13*n - 2 - 2*n**2 + 26*n wrt n.\n' | b'222*n\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {h: 5, y: 1, e: 4, v: 1, k: 5}.\n' | b'5/24\n' | b'Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {h: 5, y: 1, e: 4, v: 1, k: 5}.\n' | b'5/24\n' | deepmind/math_dataset |
b'Find the third derivative of -q**3 - q**3 + 6*q**2 + 7*q**3 wrt q.\n' | b'30\n' | b'Find the third derivative of -q**3 - q**3 + 6*q**2 + 7*q**3 wrt q.\n' | b'30\n' | deepmind/math_dataset |
b'Suppose -3*x + x + 6 = 0. What is the third derivative of -2*t**x + 8*t**3 - 10*t**2 + t**3 wrt t?\n' | b'42\n' | b'Suppose -3*x + x + 6 = 0. What is the third derivative of -2*t**x + 8*t**3 - 10*t**2 + t**3 wrt t?\n' | b'42\n' | deepmind/math_dataset |
b'Let h(c) = 0*c + 0*c - 1 - c. Let b(r) = -r**2 + 10*r - 8. Let t be b(9). Suppose 0*s + s = -t. Determine h(s).\n' | b'0\n' | b'Let h(c) = 0*c + 0*c - 1 - c. Let b(r) = -r**2 + 10*r - 8. Let t be b(9). Suppose 0*s + s = -t. Determine h(s).\n' | b'0\n' | deepmind/math_dataset |
b'Let i = 166 - 164. Differentiate -43 + 9*p**2 - 6*p**i - 16*p + 10*p wrt p.\n' | b'6*p - 6\n' | b'Let i = 166 - 164. Differentiate -43 + 9*p**2 - 6*p**i - 16*p + 10*p wrt p.\n' | b'6*p - 6\n' | deepmind/math_dataset |
b'Simplify ((k*k*k**(-1/14)*k**(-1/3)/k)/(k*k**(-3/7)*k*k*k*k**(-2)))/((k*k*k*k*k**(2/7)*k)**(-38))**(2/9) assuming k is positive.\n' | b'k**(5501/126)\n' | b'Simplify ((k*k*k**(-1/14)*k**(-1/3)/k)/(k*k**(-3/7)*k*k*k*k**(-2)))/((k*k*k*k*k**(2/7)*k)**(-38))**(2/9) assuming k is positive.\n' | b'k**(5501/126)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jkjjjkyjk. What is prob of sequence yjjk?\n' | b'5/252\n' | b'Four letters picked without replacement from jkjjjkyjk. What is prob of sequence yjjk?\n' | b'5/252\n' | deepmind/math_dataset |
b'Let m(s) = -s**3 - 2*s**2. Let j(z) = -10*z**3 - 3*z**2 - z + 125. Let h(y) = j(y) - 5*m(y). What is the second derivative of h(f) wrt f?\n' | b'-30*f + 14\n' | b'Let m(s) = -s**3 - 2*s**2. Let j(z) = -10*z**3 - 3*z**2 - z + 125. Let h(y) = j(y) - 5*m(y). What is the second derivative of h(f) wrt f?\n' | b'-30*f + 14\n' | deepmind/math_dataset |
b'Let c(g) be the third derivative of -g**4/6 + g**3/3 + g**2. Let p = -33 - -10. Let o = p + 25. Determine c(o).\n' | b'-6\n' | b'Let c(g) be the third derivative of -g**4/6 + g**3/3 + g**2. Let p = -33 - -10. Let o = p + 25. Determine c(o).\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence ggx when three letters picked without replacement from bxxgg.\n' | b'1/15\n' | b'Calculate prob of sequence ggx when three letters picked without replacement from bxxgg.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let c(n) = -57*n - 59. Let a(i) = -62*i - 59. Let g(j) = -5*a(j) + 6*c(j). Let m be g(-2). Solve 5*k + 3*v + 2 + m = 0, 2 = -3*k - 4*v for k.\n' | b'-2\n' | b'Let c(n) = -57*n - 59. Let a(i) = -62*i - 59. Let g(j) = -5*a(j) + 6*c(j). Let m be g(-2). Solve 5*k + 3*v + 2 + m = 0, 2 = -3*k - 4*v for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h be (5/2*2 - 2) + 1. Suppose -3*b - 5*m - 23 = -4*b, 2*b - m - 37 = 0. Suppose h*y = b - 6. Solve v - 4*o + o = -7, -3*v = -y*o + 15 for v.\n' | b'-4\n' | b'Let h be (5/2*2 - 2) + 1. Suppose -3*b - 5*m - 23 = -4*b, 2*b - m - 37 = 0. Suppose h*y = b - 6. Solve v - 4*o + o = -7, -3*v = -y*o + 15 for v.\n' | b'-4\n' | deepmind/math_dataset |
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