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 z be (21/2)/(9/12). Suppose 15*w = z*w + 26. What is the derivative of 14*l**2 - 7 - w*l**3 - 6 - 14*l**2 wrt l?\n' | b'-78*l**2\n' | b'Let z be (21/2)/(9/12). Suppose 15*w = z*w + 26. What is the derivative of 14*l**2 - 7 - w*l**3 - 6 - 14*l**2 wrt l?\n' | b'-78*l**2\n' | deepmind/math_dataset |
b'Let w = -3 + -3. Let m(j) = 4*j**3 + 3*j**2 - 5*j - 56. Let v(s) = -11*s**3 - 10*s**2 + 14*s + 152. Let q(d) = -8*m(d) - 3*v(d). Determine q(w).\n' | b'4\n' | b'Let w = -3 + -3. Let m(j) = 4*j**3 + 3*j**2 - 5*j - 56. Let v(s) = -11*s**3 - 10*s**2 + 14*s + 152. Let q(d) = -8*m(d) - 3*v(d). Determine q(w).\n' | b'4\n' | deepmind/math_dataset |
b'Let r(h) = 61*h + 66*h - 199*h + 1 + 58*h. Let j(b) = 3*b + 34. Let s be j(0). Let u be (-95)/(-85) + (-4)/s. Determine r(u).\n' | b'-13\n' | b'Let r(h) = 61*h + 66*h - 199*h + 1 + 58*h. Let j(b) = 3*b + 34. Let s be j(0). Let u be (-95)/(-85) + (-4)/s. Determine r(u).\n' | b'-13\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j and 2 m when three letters picked without replacement from ijmmjiymhi.\n' | b'1/20\n' | b'Calculate prob of picking 1 j and 2 m when three letters picked without replacement from ijmmjiymhi.\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (h/(((h*h*h**7*h)/h)/h)*h*h**14)**(-1) assuming h is positive.\n' | b'h**(-8)\n' | b'Simplify (h/(((h*h*h**7*h)/h)/h)*h*h**14)**(-1) assuming h is positive.\n' | b'h**(-8)\n' | deepmind/math_dataset |
b'What is prob of picking 2 m when two letters picked without replacement from {j: 1, m: 7, h: 2, z: 8}?\n' | b'7/51\n' | b'What is prob of picking 2 m when two letters picked without replacement from {j: 1, m: 7, h: 2, z: 8}?\n' | b'7/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zyzyozrrzy. Give prob of sequence yrr.\n' | b'1/120\n' | b'Three letters picked without replacement from zyzyozrrzy. Give prob of sequence yrr.\n' | b'1/120\n' | deepmind/math_dataset |
b'Suppose 0 = 4*s - 2*s - 4. Let u(w) be the first derivative of -w + 2/3*w**3 + 0*w**s - 2. What is the derivative of u(g) wrt g?\n' | b'4*g\n' | b'Suppose 0 = 4*s - 2*s - 4. Let u(w) be the first derivative of -w + 2/3*w**3 + 0*w**s - 2. What is the derivative of u(g) wrt g?\n' | b'4*g\n' | deepmind/math_dataset |
b'Let w(d) = d**2 + 6*d + 1. Suppose 2*o - 3*p = -11 - 2, 3*p = -3*o - 27. Calculate w(o).\n' | b'17\n' | b'Let w(d) = d**2 + 6*d + 1. Suppose 2*o - 3*p = -11 - 2, 3*p = -3*o - 27. Calculate w(o).\n' | b'17\n' | deepmind/math_dataset |
b'Suppose 5*l = 7*l + 6. Let t(p) = 2*p**2 + 6*p. Let d be t(l). Solve f - 12 = 4*n, n - 5*n - 2*f - 12 = d for n.\n' | b'-3\n' | b'Suppose 5*l = 7*l + 6. Let t(p) = 2*p**2 + 6*p. Let d be t(l). Solve f - 12 = 4*n, n - 5*n - 2*f - 12 = d for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(r) = 11*r - 2. Suppose -2*c = -u - c + 9, 4*u + 4*c = 36. Let n(k) = -5*k + 1. Suppose 5*s - 21 = -1. Let y(q) = s*d(q) + u*n(q). What is y(0)?\n' | b'1\n' | b'Let d(r) = 11*r - 2. Suppose -2*c = -u - c + 9, 4*u + 4*c = 36. Let n(k) = -5*k + 1. Suppose 5*s - 21 = -1. Let y(q) = s*d(q) + u*n(q). What is y(0)?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((m*(m*m**0/m*m)/m)/m)/((m**(3/5)/m)/m*m)*m**(-2)/(m/(m/(m/(m*m**6)*m))))/((m**2*m**(-2/5))/((m**(-1/2)/m)/(m*m*m**(1/8)))) assuming m is positive.\n' | b'm**(-73/40)\n' | b'Simplify (((m*(m*m**0/m*m)/m)/m)/((m**(3/5)/m)/m*m)*m**(-2)/(m/(m/(m/(m*m**6)*m))))/((m**2*m**(-2/5))/((m**(-1/2)/m)/(m*m*m**(1/8)))) assuming m is positive.\n' | b'm**(-73/40)\n' | deepmind/math_dataset |
b'Let s(r) = -r**3 + 6*r**2 + 5*r + 10. Let l(f) = 3*f - 31. Let x be l(13). Let i = -1 + x. Give s(i).\n' | b'-4\n' | b'Let s(r) = -r**3 + 6*r**2 + 5*r + 10. Let l(f) = 3*f - 31. Let x be l(13). Let i = -1 + x. Give s(i).\n' | b'-4\n' | deepmind/math_dataset |
b'Let t be (-180)/27*-3*(-4)/(-8). Let m be 0/((-90)/(-10)) + t. Let u = 7 - 4. Solve h = l, -u*h - m = l + 2 for h.\n' | b'-3\n' | b'Let t be (-180)/27*-3*(-4)/(-8). Let m be 0/((-90)/(-10)) + t. Let u = 7 - 4. Solve h = l, -u*h - m = l + 2 for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Let o be 6/(-1)*(-1)/2. Suppose 0 = o*x - 19 - 5. Suppose -1 = 2*s + 3*k, -3*s - 2*k + 5 + 1 = 0. Solve -2 = 5*f + 2*u - 9, 0 = s*f + 4*u - x for f.\n' | b'1\n' | b'Let o be 6/(-1)*(-1)/2. Suppose 0 = o*x - 19 - 5. Suppose -1 = 2*s + 3*k, -3*s - 2*k + 5 + 1 = 0. Solve -2 = 5*f + 2*u - 9, 0 = s*f + 4*u - x for f.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ccicicccccccicccci. Give prob of picking 1 i and 2 c.\n' | b'91/204\n' | b'Three letters picked without replacement from ccicicccccccicccci. Give prob of picking 1 i and 2 c.\n' | b'91/204\n' | deepmind/math_dataset |
b'Let q(p) = 0 + 4*p + 17*p + 3*p + 1 + 4*p**4 - 9*p**2 + p**3. Let a(n) = -n**4 - n**3 - n. Let x(b) = a(b) + q(b). What is the second derivative of x(z) wrt z?\n' | b'36*z**2 - 18\n' | b'Let q(p) = 0 + 4*p + 17*p + 3*p + 1 + 4*p**4 - 9*p**2 + p**3. Let a(n) = -n**4 - n**3 - n. Let x(b) = a(b) + q(b). What is the second derivative of x(z) wrt z?\n' | b'36*z**2 - 18\n' | deepmind/math_dataset |
b'What is prob of picking 4 v when four letters picked without replacement from vvvvpvvvvvpvpvvv?\n' | b'11/28\n' | b'What is prob of picking 4 v when four letters picked without replacement from vvvvpvvvvvpvpvvv?\n' | b'11/28\n' | deepmind/math_dataset |
b'Four letters picked without replacement from guhhohhgghhhhhggh. What is prob of picking 1 u and 3 h?\n' | b'6/119\n' | b'Four letters picked without replacement from guhhohhgghhhhhggh. What is prob of picking 1 u and 3 h?\n' | b'6/119\n' | deepmind/math_dataset |
b'Let c(v) = v**2 + 1. Let i = 16 - 18. Let a be c(i). Solve 0 = -4*f + 4*o, a*f + 2*o + 3 - 24 = 0 for f.\n' | b'3\n' | b'Let c(v) = v**2 + 1. Let i = 16 - 18. Let a be c(i). Solve 0 = -4*f + 4*o, a*f + 2*o + 3 - 24 = 0 for f.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -77 = -3*s - 11. Let x = s + -22. Suppose x*n = n - 10. Solve b - 6*b + 20 = 5*z, b - n = -3*z for b.\n' | b'1\n' | b'Suppose -77 = -3*s - 11. Let x = s + -22. Suppose x*n = n - 10. Solve b - 6*b + 20 = 5*z, b - n = -3*z for b.\n' | b'1\n' | deepmind/math_dataset |
b'Let m(n) be the second derivative of 93/20*n**5 + 0*n**3 - 33*n - 2 + 33/2*n**2 + 0*n**4. What is the derivative of m(y) wrt y?\n' | b'279*y**2\n' | b'Let m(n) be the second derivative of 93/20*n**5 + 0*n**3 - 33*n - 2 + 33/2*n**2 + 0*n**4. What is the derivative of m(y) wrt y?\n' | b'279*y**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 3, c: 2, l: 3, r: 1, m: 1}. Give prob of picking 1 p and 2 l.\n' | b'3/40\n' | b'Three letters picked without replacement from {p: 3, c: 2, l: 3, r: 1, m: 1}. Give prob of picking 1 p and 2 l.\n' | b'3/40\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dhdhdddh. Give prob of sequence dd.\n' | b'5/14\n' | b'Two letters picked without replacement from dhdhdddh. Give prob of sequence dd.\n' | b'5/14\n' | deepmind/math_dataset |
b'Suppose -5*i + 4*i + 7 = 5*n, 0 = 3*i + 2*n - 21. Let p be -4 + i + (-7)/(7/(-12)). Solve 2*r + 0 = -g + 10, 3*r = p for g.\n' | b'0\n' | b'Suppose -5*i + 4*i + 7 = 5*n, 0 = 3*i + 2*n - 21. Let p be -4 + i + (-7)/(7/(-12)). Solve 2*r + 0 = -g + 10, 3*r = p for g.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (g**4/(g/(g**(-5)*g)))/(g/(g*g**(-2/3))*(g/(g/(g*g**(2/11)*g*g))*g)/g) assuming g is positive.\n' | b'g**(-160/33)\n' | b'Simplify (g**4/(g/(g**(-5)*g)))/(g/(g*g**(-2/3))*(g/(g/(g*g**(2/11)*g*g))*g)/g) assuming g is positive.\n' | b'g**(-160/33)\n' | deepmind/math_dataset |
b'What is prob of sequence ono when three letters picked without replacement from {n: 2, o: 6, b: 5}?\n' | b'5/143\n' | b'What is prob of sequence ono when three letters picked without replacement from {n: 2, o: 6, b: 5}?\n' | b'5/143\n' | deepmind/math_dataset |
b'Let j be 2/8 + (162/24)/9. Let g = 4 - j. Find the third derivative of -y + 92*y**g + y - 77*y**3 - 4*y**2 wrt y.\n' | b'90\n' | b'Let j be 2/8 + (162/24)/9. Let g = 4 - j. Find the third derivative of -y + 92*y**g + y - 77*y**3 - 4*y**2 wrt y.\n' | b'90\n' | deepmind/math_dataset |
b'Let h(f) = 0 + 9 - f + 1 + 0*f. Let m be h(7). Find the third derivative of m*p + 11*p**3 - 6*p**3 + 4*p**2 - 3*p wrt p.\n' | b'30\n' | b'Let h(f) = 0 + 9 - f + 1 + 0*f. Let m be h(7). Find the third derivative of m*p + 11*p**3 - 6*p**3 + 4*p**2 - 3*p wrt p.\n' | b'30\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, z: 2}. What is prob of picking 1 z and 1 r?\n' | b'2/3\n' | b'Two letters picked without replacement from {r: 1, z: 2}. What is prob of picking 1 z and 1 r?\n' | b'2/3\n' | deepmind/math_dataset |
b'Let h = 16 + -24. Let i be 54/24 + 3 - (-2)/h. Solve 0 = i*l + 2*o - 18, 0*o = -o - 1 for l.\n' | b'4\n' | b'Let h = 16 + -24. Let i be 54/24 + 3 - (-2)/h. Solve 0 = i*l + 2*o - 18, 0*o = -o - 1 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence ele when three letters picked without replacement from {l: 4, e: 2}.\n' | b'1/15\n' | b'Calculate prob of sequence ele when three letters picked without replacement from {l: 4, e: 2}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (b/b**8*b**(-4)*b**(2/5)/(b/(b/b**(-1/6))))**(4/5) assuming b is positive.\n' | b'b**(-626/75)\n' | b'Simplify (b/b**8*b**(-4)*b**(2/5)/(b/(b/b**(-1/6))))**(4/5) assuming b is positive.\n' | b'b**(-626/75)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 10}. What is prob of picking 2 n?\n' | b'1\n' | b'Two letters picked without replacement from {n: 10}. What is prob of picking 2 n?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence iyz when three letters picked without replacement from iuuuuuzvyzyu?\n' | b'1/330\n' | b'What is prob of sequence iyz when three letters picked without replacement from iuuuuuzvyzyu?\n' | b'1/330\n' | deepmind/math_dataset |
b'Simplify ((t*t*t/(t/(t*(t*t/(t**20/t))/t*t))*t*t*t*t*t)/t)/t**(-23)*(t**(1/4))**3 assuming t is positive.\n' | b't**(55/4)\n' | b'Simplify ((t*t*t/(t/(t*(t*t/(t**20/t))/t*t))*t*t*t*t*t)/t)/t**(-23)*(t**(1/4))**3 assuming t is positive.\n' | b't**(55/4)\n' | deepmind/math_dataset |
b'Let g(w) = -w**3 + 5*w**2 - 3*w - 2. Suppose -5*l - 20 = 0, -5*q + 3*l + 3 = -29. Give g(q).\n' | b'2\n' | b'Let g(w) = -w**3 + 5*w**2 - 3*w - 2. Suppose -5*l - 20 = 0, -5*q + 3*l + 3 = -29. Give g(q).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((o**(-2/7)/o*o)**(-10)*(o**(-1/2))**(-41))/((o**0)**43*(o**0)**(-3/13)) assuming o is positive.\n' | b'o**(327/14)\n' | b'Simplify ((o**(-2/7)/o*o)**(-10)*(o**(-1/2))**(-41))/((o**0)**43*(o**0)**(-3/13)) assuming o is positive.\n' | b'o**(327/14)\n' | deepmind/math_dataset |
b'What is prob of picking 3 k when three letters picked without replacement from kkkdodkkood?\n' | b'2/33\n' | b'What is prob of picking 3 k when three letters picked without replacement from kkkdodkkood?\n' | b'2/33\n' | deepmind/math_dataset |
b'Let v(s) = -10*s - 15. Suppose 6*g + 1 = -11. Let w be v(g). Solve -40 = 3*c - w*r, 0 = 4*c + r + 15 for c.\n' | b'-5\n' | b'Let v(s) = -10*s - 15. Suppose 6*g + 1 = -11. Let w be v(g). Solve -40 = 3*c - w*r, 0 = 4*c + r + 15 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let q(s) = 3*s**2 + 13*s - 9. Let r(v) = -v**2 - 7*v + 4. Let j(l) = -2*q(l) - 5*r(l). What is j(9)?\n' | b'-2\n' | b'Let q(s) = 3*s**2 + 13*s - 9. Let r(v) = -v**2 - 7*v + 4. Let j(l) = -2*q(l) - 5*r(l). What is j(9)?\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 1 h when three letters picked without replacement from uwwwhguhwwgwg?\n' | b'1/143\n' | b'What is prob of picking 2 u and 1 h when three letters picked without replacement from uwwwhguhwwgwg?\n' | b'1/143\n' | deepmind/math_dataset |
b'Calculate prob of sequence ql when two letters picked without replacement from {b: 3, t: 1, a: 3, q: 2, l: 2, e: 1}.\n' | b'1/33\n' | b'Calculate prob of sequence ql when two letters picked without replacement from {b: 3, t: 1, a: 3, q: 2, l: 2, e: 1}.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let p be (6/(-9) - 0)*156/(-8). Solve 0*y - 4*u = -y + p, u = y - 1 for y.\n' | b'-3\n' | b'Let p be (6/(-9) - 0)*156/(-8). Solve 0*y - 4*u = -y + p, u = y - 1 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((t*t*t*(t*t*t**(-3/4))/t*t*t**(1/3))/(t/(t/t**(-2/5))*t)**44)**(-4/29) assuming t is positive.\n' | b't**(1309/435)\n' | b'Simplify ((t*t*t*(t*t*t**(-3/4))/t*t*t**(1/3))/(t/(t/t**(-2/5))*t)**44)**(-4/29) assuming t is positive.\n' | b't**(1309/435)\n' | deepmind/math_dataset |
b'Let k = 2 + 0. Let y(h) = -6*h**2 + h + k*h**2 + 7*h**2. Determine y(-1).\n' | b'2\n' | b'Let k = 2 + 0. Let y(h) = -6*h**2 + h + k*h**2 + 7*h**2. Determine y(-1).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence ff when two letters picked without replacement from {h: 9, f: 9}?\n' | b'4/17\n' | b'What is prob of sequence ff when two letters picked without replacement from {h: 9, f: 9}?\n' | b'4/17\n' | deepmind/math_dataset |
b'Simplify ((m/(((m**(-9)/m)/m*m)/m*m))/m)/m**(3/2) assuming m is positive.\n' | b'm**(17/2)\n' | b'Simplify ((m/(((m**(-9)/m)/m*m)/m*m))/m)/m**(3/2) assuming m is positive.\n' | b'm**(17/2)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mqimtmimkm. Give prob of sequence ktm.\n' | b'1/144\n' | b'Three letters picked without replacement from mqimtmimkm. Give prob of sequence ktm.\n' | b'1/144\n' | deepmind/math_dataset |
b'Suppose -608 = -21*t - 19*t - 208. Solve -b - t = -5, 14 = -c - 4*b for c.\n' | b'6\n' | b'Suppose -608 = -21*t - 19*t - 208. Solve -b - t = -5, 14 = -c - 4*b for c.\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (i*i/(i/(i/i**(-9))))**(-11)*i**3*i**(-1/18)/i*i assuming i is positive.\n' | b'i**(-2125/18)\n' | b'Simplify (i*i/(i/(i/i**(-9))))**(-11)*i**3*i**(-1/18)/i*i assuming i is positive.\n' | b'i**(-2125/18)\n' | deepmind/math_dataset |
b'Let s(d) be the second derivative of -d**5/10 + 5*d**4/4 - d**3 - 2*d**2 - d. Let u be s(7). Solve 0*j - 23 = -3*q + 5*j, -u*j - 10 = 2*q for q.\n' | b'1\n' | b'Let s(d) be the second derivative of -d**5/10 + 5*d**4/4 - d**3 - 2*d**2 - d. Let u be s(7). Solve 0*j - 23 = -3*q + 5*j, -u*j - 10 = 2*q for q.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 5, i: 3, f: 4, x: 1, b: 3, g: 4}. Give prob of sequence bia.\n' | b'1/152\n' | b'Three letters picked without replacement from {a: 5, i: 3, f: 4, x: 1, b: 3, g: 4}. Give prob of sequence bia.\n' | b'1/152\n' | deepmind/math_dataset |
b'Calculate prob of sequence lazl when four letters picked without replacement from {z: 2, a: 1, l: 1}.\n' | b'0\n' | b'Calculate prob of sequence lazl when four letters picked without replacement from {z: 2, a: 1, l: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(v) be the first derivative of -v**7/42 + v**4/4 + 2*v**2 + 5. Let f(p) be the second derivative of i(p). What is the second derivative of f(t) wrt t?\n' | b'-60*t**2\n' | b'Let i(v) be the first derivative of -v**7/42 + v**4/4 + 2*v**2 + 5. Let f(p) be the second derivative of i(p). What is the second derivative of f(t) wrt t?\n' | b'-60*t**2\n' | deepmind/math_dataset |
b'Let q(l) = 2*l**3 - 11*l**2 - 20*l + 1. Let n be q(7). Solve 3*h - 2*h + 4*u + n = 0, 4*h - 19 = u for h.\n' | b'4\n' | b'Let q(l) = 2*l**3 - 11*l**2 - 20*l + 1. Let n be q(7). Solve 3*h - 2*h + 4*u + n = 0, 4*h - 19 = u for h.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify b**(1/11)*b*b/(b/b**20) assuming b is positive.\n' | b'b**(232/11)\n' | b'Simplify b**(1/11)*b*b/(b/b**20) assuming b is positive.\n' | b'b**(232/11)\n' | deepmind/math_dataset |
b'Simplify (w**(-2/5))**49/((w*w**(2/9))/((w/(w/(w/((w**(-10)*w*w)/w)))*w)/w)) assuming w is positive.\n' | b'w**(-487/45)\n' | b'Simplify (w**(-2/5))**49/((w*w**(2/9))/((w/(w/(w/((w**(-10)*w*w)/w)))*w)/w)) assuming w is positive.\n' | b'w**(-487/45)\n' | deepmind/math_dataset |
b'What is prob of sequence haxx when four letters picked without replacement from aaaxaavxnaahaxaaavx?\n' | b'11/7752\n' | b'What is prob of sequence haxx when four letters picked without replacement from aaaxaavxnaahaxaaavx?\n' | b'11/7752\n' | deepmind/math_dataset |
b'Let h(m) be the first derivative of 1/3*m**3 + 2*m - 17 - 3/2*m**2. Calculate h(3).\n' | b'2\n' | b'Let h(m) be the first derivative of 1/3*m**3 + 2*m - 17 - 3/2*m**2. Calculate h(3).\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, y: 3, x: 3}. What is prob of picking 1 y, 2 x, and 1 f?\n' | b'9/35\n' | b'Four letters picked without replacement from {f: 2, y: 3, x: 3}. What is prob of picking 1 y, 2 x, and 1 f?\n' | b'9/35\n' | deepmind/math_dataset |
b'Let d = -70 + 65. Let m(x) = -x**2 - 4*x + 3. Calculate m(d).\n' | b'-2\n' | b'Let d = -70 + 65. Let m(x) = -x**2 - 4*x + 3. Calculate m(d).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvvv.\n' | b'1\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvvv.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(h) be the third derivative of 2*h**2 + 0*h**3 + 0*h - 35/6*h**4 + 62/105*h**7 + 1 + 0*h**6 + 0*h**5. Find the second derivative of c(f) wrt f.\n' | b'1488*f**2\n' | b'Let c(h) be the third derivative of 2*h**2 + 0*h**3 + 0*h - 35/6*h**4 + 62/105*h**7 + 1 + 0*h**6 + 0*h**5. Find the second derivative of c(f) wrt f.\n' | b'1488*f**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 1 e when two letters picked without replacement from eiihhihihiiieiie?\n' | b'1/10\n' | b'What is prob of picking 1 h and 1 e when two letters picked without replacement from eiihhihihiiieiie?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let f(b) = 8*b + 6. Let m be -9 + (19 - -6) + -9. Let g(u) = 11*u + 9. Let o(y) = m*f(y) - 5*g(y). Determine o(7).\n' | b'4\n' | b'Let f(b) = 8*b + 6. Let m be -9 + (19 - -6) + -9. Let g(u) = 11*u + 9. Let o(y) = m*f(y) - 5*g(y). Determine o(7).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 5*f + 3 = -4*y + 5, -5*f = 3*y + 1. Suppose -4*d = 2*x - 0 - 2, y*d = -2*x. Find the first derivative of d + 3*b**3 + 1 + 0 wrt b.\n' | b'9*b**2\n' | b'Suppose 5*f + 3 = -4*y + 5, -5*f = 3*y + 1. Suppose -4*d = 2*x - 0 - 2, y*d = -2*x. Find the first derivative of d + 3*b**3 + 1 + 0 wrt b.\n' | b'9*b**2\n' | deepmind/math_dataset |
b'Simplify ((m/(m**4/m*m))/((m*m/m**3)/m))/((((m*((m*(m/(m*m**(1/3)*m*m))/m)/m)/m)/m)/m)/(m/m**(-3/2)*m*m)) assuming m is positive.\n' | b'm**(53/6)\n' | b'Simplify ((m/(m**4/m*m))/((m*m/m**3)/m))/((((m*((m*(m/(m*m**(1/3)*m*m))/m)/m)/m)/m)/m)/(m/m**(-3/2)*m*m)) assuming m is positive.\n' | b'm**(53/6)\n' | deepmind/math_dataset |
b'Simplify (o/(o**(-7/2)*o))**(-3/11) assuming o is positive.\n' | b'o**(-21/22)\n' | b'Simplify (o/(o**(-7/2)*o))**(-3/11) assuming o is positive.\n' | b'o**(-21/22)\n' | deepmind/math_dataset |
b'Let q(z) be the second derivative of z**4/3 - z**3/6 + z**2/2 + 2*z. Suppose -2*t = 14 + 10. Let f be t/(-4) - 6/3. Determine q(f).\n' | b'4\n' | b'Let q(z) be the second derivative of z**4/3 - z**3/6 + z**2/2 + 2*z. Suppose -2*t = 14 + 10. Let f be t/(-4) - 6/3. Determine q(f).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence xrxx when four letters picked without replacement from {r: 8, x: 3}?\n' | b'1/165\n' | b'What is prob of sequence xrxx when four letters picked without replacement from {r: 8, x: 3}?\n' | b'1/165\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nhhhnhnh. What is prob of sequence nhn?\n' | b'5/56\n' | b'Three letters picked without replacement from nhhhnhnh. What is prob of sequence nhn?\n' | b'5/56\n' | deepmind/math_dataset |
b'Let p(q) = q**3 - 2*q**2 + 2*q. Let y(o) = -6*o**2 + o - 12. Let n(t) = t**2 + t + 1. Let i(b) = -5*n(b) - y(b). Let g be i(1). Calculate p(g).\n' | b'4\n' | b'Let p(q) = q**3 - 2*q**2 + 2*q. Let y(o) = -6*o**2 + o - 12. Let n(t) = t**2 + t + 1. Let i(b) = -5*n(b) - y(b). Let g be i(1). Calculate p(g).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (c**4/c**(-5/9))/((c*((c*c**(-2))/c)/c)/c**17) assuming c is positive.\n' | b'c**(212/9)\n' | b'Simplify (c**4/c**(-5/9))/((c*((c*c**(-2))/c)/c)/c**17) assuming c is positive.\n' | b'c**(212/9)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 e when three letters picked without replacement from {l: 1, y: 2, e: 7, g: 3, i: 7}.\n' | b'7/228\n' | b'Calculate prob of picking 3 e when three letters picked without replacement from {l: 1, y: 2, e: 7, g: 3, i: 7}.\n' | b'7/228\n' | deepmind/math_dataset |
b'Suppose -15*j - 122 = -317. Solve 15*w - 4 = j*w - 3*d, -4 = 2*d for w.\n' | b'5\n' | b'Suppose -15*j - 122 = -317. Solve 15*w - 4 = j*w - 3*d, -4 = 2*d for w.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvak. What is prob of picking 3 v and 1 a?\n' | b'0\n' | b'Four letters picked without replacement from vvak. What is prob of picking 3 v and 1 a?\n' | b'0\n' | deepmind/math_dataset |
b'Let b be (16/(-120) - (-8)/6)/((-9)/(-60)). Solve -20*c = -18*c - n + 6, -4*n = b for c.\n' | b'-4\n' | b'Let b be (16/(-120) - (-8)/6)/((-9)/(-60)). Solve -20*c = -18*c - n + 6, -4*n = b for c.\n' | b'-4\n' | deepmind/math_dataset |
b'Let p(q) = q**2 + 5*q + 1. Let f be p(-6). Let z be 3/2*1*2. What is the second derivative of f*x - x - 8*x**z + 3*x**3 + 0*x wrt x?\n' | b'-30*x\n' | b'Let p(q) = q**2 + 5*q + 1. Let f be p(-6). Let z be 3/2*1*2. What is the second derivative of f*x - x - 8*x**z + 3*x**3 + 0*x wrt x?\n' | b'-30*x\n' | deepmind/math_dataset |
b'Simplify k**(-10/7)/(k/(k/(k/k**(-6/5)))) assuming k is positive.\n' | b'k**(-127/35)\n' | b'Simplify k**(-10/7)/(k/(k/(k/k**(-6/5)))) assuming k is positive.\n' | b'k**(-127/35)\n' | deepmind/math_dataset |
b'Suppose 6*y = -5 + 17. Solve 4*l + 3*a = -15, 0 = 3*l - y*a - 3*a - 25 for l.\n' | b'0\n' | b'Suppose 6*y = -5 + 17. Solve 4*l + 3*a = -15, 0 = 3*l - y*a - 3*a - 25 for l.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 6, r: 2, k: 2, a: 3, g: 4}. What is prob of picking 1 r and 2 k?\n' | b'1/340\n' | b'Three letters picked without replacement from {h: 6, r: 2, k: 2, a: 3, g: 4}. What is prob of picking 1 r and 2 k?\n' | b'1/340\n' | deepmind/math_dataset |
b'Let f = -17 - -22. Let x(s) = 4*s - 1. Let b(i) = 3*i - 1. Let h(p) = -5*b(p) + 4*x(p). Let w be h(1). Solve f*u + 45 - 5 = -5*g, 22 = -4*u - w*g for u.\n' | b'-3\n' | b'Let f = -17 - -22. Let x(s) = 4*s - 1. Let b(i) = 3*i - 1. Let h(p) = -5*b(p) + 4*x(p). Let w be h(1). Solve f*u + 45 - 5 = -5*g, 22 = -4*u - w*g for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from dhhd. What is prob of sequence hhd?\n' | b'1/6\n' | b'Three letters picked without replacement from dhhd. What is prob of sequence hhd?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let d(q) = q**2 + 19*q + 30. Let w be d(-19). Suppose 0 = -2*p + 5*p - w. What is the second derivative of p*f - 20*f**2 - f + 8*f - 8*f wrt f?\n' | b'-40\n' | b'Let d(q) = q**2 + 19*q + 30. Let w be d(-19). Suppose 0 = -2*p + 5*p - w. What is the second derivative of p*f - 20*f**2 - f + 8*f - 8*f wrt f?\n' | b'-40\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 4, g: 3}. Give prob of sequence gmgg.\n' | b'1/35\n' | b'Four letters picked without replacement from {m: 4, g: 3}. Give prob of sequence gmgg.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let n(o) be the first derivative of -2223*o**4/4 - 14597*o + 2981. What is the first derivative of n(y) wrt y?\n' | b'-6669*y**2\n' | b'Let n(o) be the first derivative of -2223*o**4/4 - 14597*o + 2981. What is the first derivative of n(y) wrt y?\n' | b'-6669*y**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {b: 3, r: 4, x: 1, c: 5, e: 1}.\n' | b'4/91\n' | b'Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {b: 3, r: 4, x: 1, c: 5, e: 1}.\n' | b'4/91\n' | deepmind/math_dataset |
b'Simplify (((l/l**(1/2))/l)**(2/37))**(-3/16) assuming l is positive.\n' | b'l**(3/592)\n' | b'Simplify (((l/l**(1/2))/l)**(2/37))**(-3/16) assuming l is positive.\n' | b'l**(3/592)\n' | deepmind/math_dataset |
b'Let i be (58 - 60) + ((-14)/(-3) - (-5)/15). Solve -i*r - 3*f = 2*r + 28, -2*r - f - 11 = 0 for r.\n' | b'-5\n' | b'Let i be (58 - 60) + ((-14)/(-3) - (-5)/15). Solve -i*r - 3*f = 2*r + 28, -2*r - f - 11 = 0 for r.\n' | b'-5\n' | deepmind/math_dataset |
b'Let p(s) = -4*s**3 + 14*s**2 + 28*s + 22. Let g(f) = -3*f**3 + 14*f**2 + 20*f + 20. Let y(a) = 5*g(a) - 4*p(a). Determine y(-15).\n' | b'-33\n' | b'Let p(s) = -4*s**3 + 14*s**2 + 28*s + 22. Let g(f) = -3*f**3 + 14*f**2 + 20*f + 20. Let y(a) = 5*g(a) - 4*p(a). Determine y(-15).\n' | b'-33\n' | deepmind/math_dataset |
b'Suppose -4*f = -0*f. Let g = f - -2. Find the third derivative of -i**2 - 2*i**5 + g*i**6 + 2*i**5 wrt i.\n' | b'240*i**3\n' | b'Suppose -4*f = -0*f. Let g = f - -2. Find the third derivative of -i**2 - 2*i**5 + g*i**6 + 2*i**5 wrt i.\n' | b'240*i**3\n' | deepmind/math_dataset |
b'Let t be ((-130)/(-15))/(-13)*-9. Suppose 4*o = b + 65, 0*b - 91 = -5*o - 2*b. Solve -5*h - x + t*x = -15, 5*x = 4*h - o for h.\n' | b'-2\n' | b'Let t be ((-130)/(-15))/(-13)*-9. Suppose 4*o = b + 65, 0*b - 91 = -5*o - 2*b. Solve -5*h - x + t*x = -15, 5*x = 4*h - o for h.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence qx when two letters picked without replacement from {q: 1, x: 3}?\n' | b'1/4\n' | b'What is prob of sequence qx when two letters picked without replacement from {q: 1, x: 3}?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let i(z) = -15*z**2 - 7*z - 118. Suppose -12*v + 54 = 90. Let a(b) = -15*b**2 - 7*b - 117. Let g(x) = v*a(x) + 2*i(x). Find the first derivative of g(t) wrt t.\n' | b'30*t + 7\n' | b'Let i(z) = -15*z**2 - 7*z - 118. Suppose -12*v + 54 = 90. Let a(b) = -15*b**2 - 7*b - 117. Let g(x) = v*a(x) + 2*i(x). Find the first derivative of g(t) wrt t.\n' | b'30*t + 7\n' | deepmind/math_dataset |
b'Simplify (q**(-4/5))**25*((q*q**(2/15)*q*q)/q)/(q/(q**(-1/2)/q)) assuming q is positive.\n' | b'q**(-611/30)\n' | b'Simplify (q**(-4/5))**25*((q*q**(2/15)*q*q)/q)/(q/(q**(-1/2)/q)) assuming q is positive.\n' | b'q**(-611/30)\n' | deepmind/math_dataset |
b'Simplify ((t/(t**(5/8)*t*t*t))/t)**(1/22) assuming t is positive.\n' | b't**(-29/176)\n' | b'Simplify ((t/(t**(5/8)*t*t*t))/t)**(1/22) assuming t is positive.\n' | b't**(-29/176)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mbircibrcbmrirmvrrb. Give prob of picking 2 m.\n' | b'1/57\n' | b'Two letters picked without replacement from mbircibrcbmrirmvrrb. Give prob of picking 2 m.\n' | b'1/57\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j, 1 t, and 1 l when four letters picked without replacement from {t: 1, l: 3, k: 7, j: 2, q: 1}.\n' | b'3/1001\n' | b'Calculate prob of picking 2 j, 1 t, and 1 l when four letters picked without replacement from {t: 1, l: 3, k: 7, j: 2, q: 1}.\n' | b'3/1001\n' | deepmind/math_dataset |
b'Simplify (k**0)**(4/15)*k*(k**(-2/23)*k)/k*k*k*(k*k**0)/k assuming k is positive.\n' | b'k**(67/23)\n' | b'Simplify (k**0)**(4/15)*k*(k**(-2/23)*k)/k*k*k*(k*k**0)/k assuming k is positive.\n' | b'k**(67/23)\n' | deepmind/math_dataset |
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