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'Suppose -113*k + 24*k + 623 = 0. Solve -12*n + k*n - 2 = -o, 2*n = -5*o - 17 for o.\n' | b'-3\n' | b'Suppose -113*k + 24*k + 623 = 0. Solve -12*n + k*n - 2 = -o, 2*n = -5*o - 17 for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Let i(b) be the second derivative of b**7/1260 + b**5/60 + b**4/12 + 5*b. Let k(d) be the third derivative of i(d). Calculate k(2).\n' | b'10\n' | b'Let i(b) be the second derivative of b**7/1260 + b**5/60 + b**4/12 + 5*b. Let k(d) be the third derivative of i(d). Calculate k(2).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((a**(-5)/(a/a**(-2/21))*a**4*a/(a/(a/a**(-4/9))))**(13/4))**(-4/13) assuming a is positive.\n' | b'a**(41/63)\n' | b'Simplify ((a**(-5)/(a/a**(-2/21))*a**4*a/(a/(a/a**(-4/9))))**(13/4))**(-4/13) assuming a is positive.\n' | b'a**(41/63)\n' | deepmind/math_dataset |
b'Simplify ((n*n**(-3/17)*n*n)/n**(-6/7))**(-18) assuming n is positive.\n' | b'n**(-7884/119)\n' | b'Simplify ((n*n**(-3/17)*n*n)/n**(-6/7))**(-18) assuming n is positive.\n' | b'n**(-7884/119)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rruaux. Give prob of sequence rr.\n' | b'1/15\n' | b'Two letters picked without replacement from rruaux. Give prob of sequence rr.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of sequence gx when two letters picked without replacement from {x: 2, c: 3, g: 2, h: 2, v: 8}?\n' | b'1/68\n' | b'What is prob of sequence gx when two letters picked without replacement from {x: 2, c: 3, g: 2, h: 2, v: 8}?\n' | b'1/68\n' | deepmind/math_dataset |
b'Suppose -14 = 4*f + 18. Let r(s) = -s**2 + s - 2. Let i be r(2). Let n = i - f. Solve 0 = n*b + z + 5, -2*b - 19 = -6*z + z for b.\n' | b'-2\n' | b'Suppose -14 = 4*f + 18. Let r(s) = -s**2 + s - 2. Let i be r(2). Let n = i - f. Solve 0 = n*b + z + 5, -2*b - 19 = -6*z + z for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Let z = -9 + 127. Let x(c) = z*c - 186*c - 5 - 49. Let h(o) = -23*o - 18. Let j(v) = 17*h(v) - 6*x(v). Differentiate j(k) with respect to k.\n' | b'17\n' | b'Let z = -9 + 127. Let x(c) = z*c - 186*c - 5 - 49. Let h(o) = -23*o - 18. Let j(v) = 17*h(v) - 6*x(v). Differentiate j(k) with respect to k.\n' | b'17\n' | deepmind/math_dataset |
b'Let l(u) = -u**2 + 8*u - 5. Let q be l(7). Suppose -q*a + 5*z = -13, -4*a - 2*z = -7*z - 21. Solve -2*v + 7 = -4*h + 1, a*v = -2*h + 12 for v.\n' | b'3\n' | b'Let l(u) = -u**2 + 8*u - 5. Let q be l(7). Suppose -q*a + 5*z = -13, -4*a - 2*z = -7*z - 21. Solve -2*v + 7 = -4*h + 1, a*v = -2*h + 12 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 2 = -r + 2*y, 5*y = 5*r + 2*y - 4. Solve -r*z = 4*p - 5*p + 13, -2*z + 4*p - 28 = 0 for z.\n' | b'-4\n' | b'Suppose 2 = -r + 2*y, 5*y = 5*r + 2*y - 4. Solve -r*z = 4*p - 5*p + 13, -2*z + 4*p - 28 = 0 for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Let x = -15879 - -15889. Solve 3*s - 13*f - 18 = -x*f, -4*s - f = -9 for s.\n' | b'3\n' | b'Let x = -15879 - -15889. Solve 3*s - 13*f - 18 = -x*f, -4*s - f = -9 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Let l = -4 + 11. Solve -3*y = -5*f + 17, l*f - 23 = 4*f + 5*y for f.\n' | b'1\n' | b'Let l = -4 + 11. Solve -3*y = -5*f + 17, l*f - 23 = 4*f + 5*y for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(c) be the second derivative of -17*c**5/20 + 11*c**3/6 + 6*c. What is the second derivative of i(b) wrt b?\n' | b'-102*b\n' | b'Let i(c) be the second derivative of -17*c**5/20 + 11*c**3/6 + 6*c. What is the second derivative of i(b) wrt b?\n' | b'-102*b\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o when two letters picked without replacement from bopohophpphoopll.\n' | b'1/12\n' | b'Calculate prob of picking 2 o when two letters picked without replacement from bopohophpphoopll.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let w(s) = -s**3 + s**2 - 1. Let o(t) = -t**3 - 4*t**2 + t + 4. Suppose 0*c = 5*c - 15. Let d be (-3)/(3 - 0) - c. Let k be o(d). Give w(k).\n' | b'-1\n' | b'Let w(s) = -s**3 + s**2 - 1. Let o(t) = -t**3 - 4*t**2 + t + 4. Suppose 0*c = 5*c - 15. Let d be (-3)/(3 - 0) - c. Let k be o(d). Give w(k).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (l*l*l/(l*l*l/(l*(l*l**(3/4)*l)/l))*l/(l*l**(-2)))**(-11)*(l**0*l**(-3))**(1/2) assuming l is positive.\n' | b'l**(-215/4)\n' | b'Simplify (l*l*l/(l*l*l/(l*(l*l**(3/4)*l)/l))*l/(l*l**(-2)))**(-11)*(l**0*l**(-3))**(1/2) assuming l is positive.\n' | b'l**(-215/4)\n' | deepmind/math_dataset |
b'Let j(a) = -a**2 + 5*a - 2. Let l(r) = -32 + 8*r**3 + 31 - 2*r**3. Let u be l(1). Suppose -4*d + p - 3*p = -26, -u*d + p = -22. What is j(d)?\n' | b'-2\n' | b'Let j(a) = -a**2 + 5*a - 2. Let l(r) = -32 + 8*r**3 + 31 - 2*r**3. Let u be l(1). Suppose -4*d + p - 3*p = -26, -u*d + p = -22. What is j(d)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((q/((q*q**(-5)*q)/q*q*q)*q)/(q*q/(((q/q**(-28))/q)/q)*q)*q*q/(q/q**(-2/7)*q)*q*q**(-1/14))**(2/23) assuming q is positive.\n' | b'q**(401/161)\n' | b'Simplify ((q/((q*q**(-5)*q)/q*q*q)*q)/(q*q/(((q/q**(-28))/q)/q)*q)*q*q/(q/q**(-2/7)*q)*q*q**(-1/14))**(2/23) assuming q is positive.\n' | b'q**(401/161)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 1, g: 3, d: 4, z: 2, n: 2, m: 3}. Give prob of picking 1 z and 3 d.\n' | b'8/1365\n' | b'Four letters picked without replacement from {p: 1, g: 3, d: 4, z: 2, n: 2, m: 3}. Give prob of picking 1 z and 3 d.\n' | b'8/1365\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {p: 9, z: 4, k: 1}.\n' | b'4/91\n' | b'Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {p: 9, z: 4, k: 1}.\n' | b'4/91\n' | deepmind/math_dataset |
b'Suppose 0 = 4*y - 9*y. What is the third derivative of y*v**5 + 3*v**5 + 5*v**5 - 3*v**5 + 6*v**2 wrt v?\n' | b'300*v**2\n' | b'Suppose 0 = 4*y - 9*y. What is the third derivative of y*v**5 + 3*v**5 + 5*v**5 - 3*v**5 + 6*v**2 wrt v?\n' | b'300*v**2\n' | deepmind/math_dataset |
b'Let u(v) be the third derivative of v**5/60 - v**3/2 - 2*v**2. Calculate u(3).\n' | b'6\n' | b'Let u(v) be the third derivative of v**5/60 - v**3/2 - 2*v**2. Calculate u(3).\n' | b'6\n' | deepmind/math_dataset |
b'Let n(c) = -19*c - 54. Let d be n(-3). Suppose a = -4*a + 20. Suppose g - 1 = -d*r - 2, -a*g - 4 = -5*r. Solve -2*m - k + 7 = 0, 6*m - 3*m - 2*k = r for m.\n' | b'2\n' | b'Let n(c) = -19*c - 54. Let d be n(-3). Suppose a = -4*a + 20. Suppose g - 1 = -d*r - 2, -a*g - 4 = -5*r. Solve -2*m - k + 7 = 0, 6*m - 3*m - 2*k = r for m.\n' | b'2\n' | deepmind/math_dataset |
b'Find the first derivative of 771*x + 32 + 513 + 23 + 352 + 146 wrt x.\n' | b'771\n' | b'Find the first derivative of 771*x + 32 + 513 + 23 + 352 + 146 wrt x.\n' | b'771\n' | deepmind/math_dataset |
b'What is the second derivative of 22*m - 2*m**4 - 5*m**2 + 0*m + 20*m**2 + 15*m**2 wrt m?\n' | b'-24*m**2 + 60\n' | b'What is the second derivative of 22*m - 2*m**4 - 5*m**2 + 0*m + 20*m**2 + 15*m**2 wrt m?\n' | b'-24*m**2 + 60\n' | deepmind/math_dataset |
b'Suppose -5*a - 6*a = -22. Solve -a*n - 2 = j + 2*j, 0 = -2*n + 10 for j.\n' | b'-4\n' | b'Suppose -5*a - 6*a = -22. Solve -a*n - 2 = j + 2*j, 0 = -2*n + 10 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence gje when three letters picked without replacement from gexgjggeeggyy.\n' | b'3/286\n' | b'Calculate prob of sequence gje when three letters picked without replacement from gexgjggeeggyy.\n' | b'3/286\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hyhhhyhkbhrhkhhkykh. What is prob of picking 1 y and 1 r?\n' | b'1/57\n' | b'Two letters picked without replacement from hyhhhyhkbhrhkhhkykh. What is prob of picking 1 y and 1 r?\n' | b'1/57\n' | deepmind/math_dataset |
b'Let h(m) be the third derivative of -m**4/24 - 11*m**3/6 + 1289*m**2. Calculate h(-13).\n' | b'2\n' | b'Let h(m) be the third derivative of -m**4/24 - 11*m**3/6 + 1289*m**2. Calculate h(-13).\n' | b'2\n' | deepmind/math_dataset |
b'Let o(b) = -b**3 - 13*b + 37. Let v(q) = q**3 + 6*q - 18. Let m(t) = -6*o(t) - 13*v(t). Differentiate m(f) with respect to f.\n' | b'-21*f**2\n' | b'Let o(b) = -b**3 - 13*b + 37. Let v(q) = q**3 + 6*q - 18. Let m(t) = -6*o(t) - 13*v(t). Differentiate m(f) with respect to f.\n' | b'-21*f**2\n' | deepmind/math_dataset |
b'Let f(d) = -d**2 - 2*d - 1. Let n be f(-1). Let c = n - -3. Suppose -s + c = 1. Solve -2 = 4*b - l - 6, s*b - 2 = -5*l for b.\n' | b'1\n' | b'Let f(d) = -d**2 - 2*d - 1. Let n be f(-1). Let c = n - -3. Suppose -s + c = 1. Solve -2 = 4*b - l - 6, s*b - 2 = -5*l for b.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (k**(-2)/k*k*k**(-2/13))**32/(k/(k*k**1*k)*k/(k*k**(-2/9))*k**(-6/11)*k*k/k**(3/8)) assuming k is positive.\n' | b'k**(-702443/10296)\n' | b'Simplify (k**(-2)/k*k*k**(-2/13))**32/(k/(k*k**1*k)*k/(k*k**(-2/9))*k**(-6/11)*k*k/k**(3/8)) assuming k is positive.\n' | b'k**(-702443/10296)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 1, a: 4, b: 1, m: 5}. What is prob of picking 1 b and 2 a?\n' | b'2/55\n' | b'Three letters picked without replacement from {y: 1, a: 4, b: 1, m: 5}. What is prob of picking 1 b and 2 a?\n' | b'2/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 4, k: 2}. Give prob of picking 3 w.\n' | b'1/5\n' | b'Three letters picked without replacement from {w: 4, k: 2}. Give prob of picking 3 w.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 3 t when three letters picked without replacement from jtjjqjqqjjttq?\n' | b'1/286\n' | b'What is prob of picking 3 t when three letters picked without replacement from jtjjqjqqjjttq?\n' | b'1/286\n' | deepmind/math_dataset |
b'Let b(i) = 5081*i + 15 + 5*i**3 - 5084*i - 14*i**3 + 4*i**4. Let n(y) = 2*y**3 + y. Let l(x) = b(x) + 2*n(x). What is the second derivative of l(h) wrt h?\n' | b'48*h**2 - 30*h\n' | b'Let b(i) = 5081*i + 15 + 5*i**3 - 5084*i - 14*i**3 + 4*i**4. Let n(y) = 2*y**3 + y. Let l(x) = b(x) + 2*n(x). What is the second derivative of l(h) wrt h?\n' | b'48*h**2 - 30*h\n' | deepmind/math_dataset |
b'Suppose -77*h - 120 = -74*h. Let v be h/220 - 70/(-22). Solve i + 23 = -4*a, 1 = 2*a - v*i + 2 for a.\n' | b'-5\n' | b'Suppose -77*h - 120 = -74*h. Let v be h/220 - 70/(-22). Solve i + 23 = -4*a, 1 = 2*a - v*i + 2 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = 71*l - 6*l - 304 - 21. Let w(q) be the first derivative of l*q + 1/4*q**4 + q**3 - 3/2*q**2 - 15. Give w(-4).\n' | b'1\n' | b'Suppose 0 = 71*l - 6*l - 304 - 21. Let w(q) be the first derivative of l*q + 1/4*q**4 + q**3 - 3/2*q**2 - 15. Give w(-4).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 5*i = 20 - 0. What is the third derivative of 12*z**i - 5*z**2 - 3*z**4 + 2*z**2 wrt z?\n' | b'216*z\n' | b'Suppose 5*i = 20 - 0. What is the third derivative of 12*z**i - 5*z**2 - 3*z**4 + 2*z**2 wrt z?\n' | b'216*z\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from {b: 2, w: 6}?\n' | b'15/28\n' | b'What is prob of sequence ww when two letters picked without replacement from {b: 2, w: 6}?\n' | b'15/28\n' | deepmind/math_dataset |
b'Let q be ((-7)/((-14)/(-8)) - -5)*3. Let p be 1 - (2 + 0)/(-1). Suppose x - 11 = -2*s - 3*s, -q*x = -p. Solve 6 + 7 = -2*d - n, s*n = -10 for d.\n' | b'-4\n' | b'Let q be ((-7)/((-14)/(-8)) - -5)*3. Let p be 1 - (2 + 0)/(-1). Suppose x - 11 = -2*s - 3*s, -q*x = -p. Solve 6 + 7 = -2*d - n, s*n = -10 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Let u(b) be the second derivative of -b**3/6 - 2*b**2 + b. Determine u(-6).\n' | b'2\n' | b'Let u(b) be the second derivative of -b**3/6 - 2*b**2 + b. Determine u(-6).\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 0 = -w - 5*n + 14 - 7, 2*n - 2 = 0. Suppose 0 = -x + y - 3, 0*x + 2 = -4*x + w*y. Solve 0 = x*t + 5*s + 5, 38 = 3*t - 4*s + 11 for t.\n' | b'5\n' | b'Suppose 0 = -w - 5*n + 14 - 7, 2*n - 2 = 0. Suppose 0 = -x + y - 3, 0*x + 2 = -4*x + w*y. Solve 0 = x*t + 5*s + 5, 38 = 3*t - 4*s + 11 for t.\n' | b'5\n' | deepmind/math_dataset |
b'Let o(v) be the third derivative of 38*v**7/105 - 1103*v**5/60 - 2207*v**2. What is the third derivative of o(y) wrt y?\n' | b'1824*y\n' | b'Let o(v) be the third derivative of 38*v**7/105 - 1103*v**5/60 - 2207*v**2. What is the third derivative of o(y) wrt y?\n' | b'1824*y\n' | deepmind/math_dataset |
b'Suppose -7 + 73 = 2*b. Let n(j) = 2*j**2 - 6*j + j**3 - 2 + 0*j - 8*j**2. Let l be n(7). Solve f - 5 = -q, l*q + f = b - 8 for q.\n' | b'5\n' | b'Suppose -7 + 73 = 2*b. Let n(j) = 2*j**2 - 6*j + j**3 - 2 + 0*j - 8*j**2. Let l be n(7). Solve f - 5 = -q, l*q + f = b - 8 for q.\n' | b'5\n' | deepmind/math_dataset |
b'Let t(c) be the first derivative of -4*c + 1/2*c**2 - 3. Suppose 3*l + 0 = 15. Determine t(l).\n' | b'1\n' | b'Let t(c) be the first derivative of -4*c + 1/2*c**2 - 3. Suppose 3*l + 0 = 15. Determine t(l).\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pppppphhhhpppphpppp. What is prob of picking 3 h?\n' | b'10/969\n' | b'Three letters picked without replacement from pppppphhhhpppphpppp. What is prob of picking 3 h?\n' | b'10/969\n' | deepmind/math_dataset |
b'What is the second derivative of 4*h**3 + 5*h - 2*h + 0*h - 2*h**3 wrt h?\n' | b'12*h\n' | b'What is the second derivative of 4*h**3 + 5*h - 2*h + 0*h - 2*h**3 wrt h?\n' | b'12*h\n' | deepmind/math_dataset |
b'What is prob of sequence aasa when four letters picked without replacement from ayasaasya?\n' | b'5/126\n' | b'What is prob of sequence aasa when four letters picked without replacement from ayasaasya?\n' | b'5/126\n' | deepmind/math_dataset |
b'Simplify ((f/((f/(f**(-20)*f))/f*f))/(f**9/f)*f**(-2/3)/f*f*f/(f*f**13))**(1/12) assuming f is positive.\n' | b'f**(-61/18)\n' | b'Simplify ((f/((f/(f**(-20)*f))/f*f))/(f**9/f)*f**(-2/3)/f*f*f/(f*f**13))**(1/12) assuming f is positive.\n' | b'f**(-61/18)\n' | deepmind/math_dataset |
b'Simplify (c/(c/c**(-4/9)))**(7/4) assuming c is positive.\n' | b'c**(-7/9)\n' | b'Simplify (c/(c/c**(-4/9)))**(7/4) assuming c is positive.\n' | b'c**(-7/9)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u, 2 e, and 1 i when four letters picked without replacement from {e: 3, w: 3, u: 4, a: 3, k: 2, i: 1}.\n' | b'3/455\n' | b'Calculate prob of picking 1 u, 2 e, and 1 i when four letters picked without replacement from {e: 3, w: 3, u: 4, a: 3, k: 2, i: 1}.\n' | b'3/455\n' | deepmind/math_dataset |
b'Simplify (h**(-4/5)*h*h)**36/((h*h*(h**(-26)/h)/h*h)/(h/((h*h**(-5/4))/h))) assuming h is positive.\n' | b'h**(1409/20)\n' | b'Simplify (h**(-4/5)*h*h)**36/((h*h*(h**(-26)/h)/h*h)/(h/((h*h**(-5/4))/h))) assuming h is positive.\n' | b'h**(1409/20)\n' | deepmind/math_dataset |
b'Suppose 0*w - 3*w - 2*l - 4 = 0, 0 = 5*l + 25. Let c(p) = -5*p + 3*p - w + 4 - 5. Determine c(4).\n' | b'-11\n' | b'Suppose 0*w - 3*w - 2*l - 4 = 0, 0 = 5*l + 25. Let c(p) = -5*p + 3*p - w + 4 - 5. Determine c(4).\n' | b'-11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 3, l: 1, b: 1, j: 8, i: 4}. What is prob of picking 1 i, 1 l, and 2 j?\n' | b'4/85\n' | b'Four letters picked without replacement from {k: 3, l: 1, b: 1, j: 8, i: 4}. What is prob of picking 1 i, 1 l, and 2 j?\n' | b'4/85\n' | deepmind/math_dataset |
b'Let s(t) be the first derivative of 12*t**4 - 31*t - 78. What is the first derivative of s(j) wrt j?\n' | b'144*j**2\n' | b'Let s(t) be the first derivative of 12*t**4 - 31*t - 78. What is the first derivative of s(j) wrt j?\n' | b'144*j**2\n' | deepmind/math_dataset |
b'Let r be 8/(-28) - (-46)/14. What is the derivative of -4*h**r - h**3 + h**3 + 3 - 2 wrt h?\n' | b'-12*h**2\n' | b'Let r be 8/(-28) - (-46)/14. What is the derivative of -4*h**r - h**3 + h**3 + 3 - 2 wrt h?\n' | b'-12*h**2\n' | deepmind/math_dataset |
b'Suppose -6 = -l - 0*l. Let f(b) be the second derivative of b**6/360 - b**5/20 + b**4/12 + b**3/3 - 8*b. Let c(z) be the second derivative of f(z). Give c(l).\n' | b'2\n' | b'Suppose -6 = -l - 0*l. Let f(b) be the second derivative of b**6/360 - b**5/20 + b**4/12 + b**3/3 - 8*b. Let c(z) be the second derivative of f(z). Give c(l).\n' | b'2\n' | deepmind/math_dataset |
b'Let r(q) be the second derivative of 5*q**3/3 - 118*q**2 + 109*q. Let n be r(25). Solve -3*s = -2*s + 2*v - 10, 5*s - n = 2*v for s.\n' | b'4\n' | b'Let r(q) be the second derivative of 5*q**3/3 - 118*q**2 + 109*q. Let n be r(25). Solve -3*s = -2*s + 2*v - 10, 5*s - n = 2*v for s.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffl. Give prob of picking 2 f.\n' | b'1/3\n' | b'Two letters picked without replacement from ffl. Give prob of picking 2 f.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let y(q) = q**2 + 4*q - 5. Let k be y(-4). Let l be (-20)/130 - 108/(-26). Let v(f) = 1 + 0*f + l*f - 5*f. What is v(k)?\n' | b'6\n' | b'Let y(q) = q**2 + 4*q - 5. Let k be y(-4). Let l be (-20)/130 - 108/(-26). Let v(f) = 1 + 0*f + l*f - 5*f. What is v(k)?\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 3, q: 1, c: 3, u: 5, o: 2, a: 1}. Give prob of sequence cai.\n' | b'3/910\n' | b'Three letters picked without replacement from {i: 3, q: 1, c: 3, u: 5, o: 2, a: 1}. Give prob of sequence cai.\n' | b'3/910\n' | deepmind/math_dataset |
b'Let p be (((-70)/25)/(-7))/(1/5). Solve -p*b + w - 3 = 0, 4*b - w + 7 = -0 for b.\n' | b'-2\n' | b'Let p be (((-70)/25)/(-7))/(1/5). Solve -p*b + w - 3 = 0, 4*b - w + 7 = -0 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gggnccc. Give prob of sequence ng.\n' | b'1/14\n' | b'Two letters picked without replacement from gggnccc. Give prob of sequence ng.\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of sequence mkgw when four letters picked without replacement from ewwmwgewkewwweemwwe?\n' | b'1/5168\n' | b'What is prob of sequence mkgw when four letters picked without replacement from ewwmwgewkewwweemwwe?\n' | b'1/5168\n' | deepmind/math_dataset |
b'Suppose -c + 11 = 2*o, -3*c - 15 = 2*c - 4*o. Solve -5*v = 2*m - m - 9, -3*v = -m + c for m.\n' | b'4\n' | b'Suppose -c + 11 = 2*o, -3*c - 15 = 2*c - 4*o. Solve -5*v = 2*m - m - 9, -3*v = -m + c for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let f be (-1*2)/(8 - 15/2). Let i(n) = -2*n - 2. Determine i(f).\n' | b'6\n' | b'Let f be (-1*2)/(8 - 15/2). Let i(n) = -2*n - 2. Determine i(f).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence pl when two letters picked without replacement from rrpflppyffprfsp?\n' | b'1/42\n' | b'What is prob of sequence pl when two letters picked without replacement from rrpflppyffprfsp?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let l = -10 - -8. Let c be (l - 0)*1/(-1). Solve 0 = -2*x + 5*f + 7, -2*x - 4*f - c = -0 for x.\n' | b'1\n' | b'Let l = -10 - -8. Let c be (l - 0)*1/(-1). Solve 0 = -2*x + 5*f + 7, -2*x - 4*f - c = -0 for x.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffffall. Give prob of picking 1 f and 1 l.\n' | b'8/21\n' | b'Two letters picked without replacement from ffffall. Give prob of picking 1 f and 1 l.\n' | b'8/21\n' | deepmind/math_dataset |
b'Let d be 6/(-2) - (-6 + 5). Let h(m) = 3*m**3 + 3*m**2. Let k(g) = -4*g**3 - 2*g**2 - g. Let s(y) = d*h(y) - 3*k(y). Find the second derivative of s(w) wrt w.\n' | b'36*w\n' | b'Let d be 6/(-2) - (-6 + 5). Let h(m) = 3*m**3 + 3*m**2. Let k(g) = -4*g**3 - 2*g**2 - g. Let s(y) = d*h(y) - 3*k(y). Find the second derivative of s(w) wrt w.\n' | b'36*w\n' | deepmind/math_dataset |
b'Let n(q) = -q**3 - 4*q**2 - 2*q - 6. Suppose -4*g = 7 + 9. Let m be n(g). Solve -5*x = -2*v + 10, -5*v + 15 = -m*v - 5*x for v.\n' | b'5\n' | b'Let n(q) = -q**3 - 4*q**2 - 2*q - 6. Suppose -4*g = 7 + 9. Let m be n(g). Solve -5*x = -2*v + 10, -5*v + 15 = -m*v - 5*x for v.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 6, a: 12}. What is prob of sequence aa?\n' | b'22/51\n' | b'Two letters picked without replacement from {b: 6, a: 12}. What is prob of sequence aa?\n' | b'22/51\n' | deepmind/math_dataset |
b'Let p(k) be the third derivative of 0 + 0*k**4 + 0*k - 1/3*k**3 + 6*k**2 + 3/20*k**5. Differentiate p(c) wrt c.\n' | b'18*c\n' | b'Let p(k) be the third derivative of 0 + 0*k**4 + 0*k - 1/3*k**3 + 6*k**2 + 3/20*k**5. Differentiate p(c) wrt c.\n' | b'18*c\n' | deepmind/math_dataset |
b'Simplify ((d/d**(-4)*d)/d*d)/((d/(d/((((d**10/d)/d)/d)/d))*d)/d)*d**(1/8)*d*(d/(d**(-5/7)*d))/d assuming d is positive.\n' | b'd**(47/56)\n' | b'Simplify ((d/d**(-4)*d)/d*d)/((d/(d/((((d**10/d)/d)/d)/d))*d)/d)*d**(1/8)*d*(d/(d**(-5/7)*d))/d assuming d is positive.\n' | b'd**(47/56)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {g: 2, n: 4}.\n' | b'3/5\n' | b'Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {g: 2, n: 4}.\n' | b'3/5\n' | deepmind/math_dataset |
b'Simplify (f**9/f**(-4))**27*f**(4/5)*f/(f*f/(f*(f/(f/(f**3/f*f)*f))/f))*((f/(f/(f/(f*f**(1/7)*f))*f))/f)/f*f**(2/7) assuming f is positive.\n' | b'f**(12213/35)\n' | b'Simplify (f**9/f**(-4))**27*f**(4/5)*f/(f*f/(f*(f/(f/(f**3/f*f)*f))/f))*((f/(f/(f/(f*f**(1/7)*f))*f))/f)/f*f**(2/7) assuming f is positive.\n' | b'f**(12213/35)\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 1 u when two letters picked without replacement from {m: 4, v: 2, o: 8, u: 2}?\n' | b'1/15\n' | b'What is prob of picking 1 m and 1 u when two letters picked without replacement from {m: 4, v: 2, o: 8, u: 2}?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let a = 385 - 345. Suppose -a = -13*h + 103. Solve 0 = -5*w - 2*i + 5, 5 + h = -w + 3*i for w.\n' | b'-1\n' | b'Let a = 385 - 345. Suppose -a = -13*h + 103. Solve 0 = -5*w - 2*i + 5, 5 + h = -w + 3*i for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 j, 2 l, and 1 x when four letters picked without replacement from {x: 4, l: 5, j: 2, e: 1, z: 2}.\n' | b'80/1001\n' | b'Calculate prob of picking 1 j, 2 l, and 1 x when four letters picked without replacement from {x: 4, l: 5, j: 2, e: 1, z: 2}.\n' | b'80/1001\n' | deepmind/math_dataset |
b'Let m(k) be the first derivative of -13*k**4 - 2*k**3/3 - 45*k**2/2 - k + 406. What is the second derivative of m(l) wrt l?\n' | b'-312*l - 4\n' | b'Let m(k) be the first derivative of -13*k**4 - 2*k**3/3 - 45*k**2/2 - k + 406. What is the second derivative of m(l) wrt l?\n' | b'-312*l - 4\n' | deepmind/math_dataset |
b'Simplify (i**(1/5))**(-2/17)*(i**(-1/2)*i)**(6/7) assuming i is positive.\n' | b'i**(241/595)\n' | b'Simplify (i**(1/5))**(-2/17)*(i**(-1/2)*i)**(6/7) assuming i is positive.\n' | b'i**(241/595)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mwfdzfdmr. Give prob of sequence zdrd.\n' | b'1/1512\n' | b'Four letters picked without replacement from mwfdzfdmr. Give prob of sequence zdrd.\n' | b'1/1512\n' | deepmind/math_dataset |
b'Let x be 32/48*(-9)/2. Let b be x/7 + (-66)/42. Let u(d) = -d**3 - d**2 - d + 1. Give u(b).\n' | b'7\n' | b'Let x be 32/48*(-9)/2. Let b be x/7 + (-66)/42. Let u(d) = -d**3 - d**2 - d + 1. Give u(b).\n' | b'7\n' | deepmind/math_dataset |
b'Let p(h) = 10*h - 36. Let v be (0 + 8)*1/2. Let m be p(v). Let w be -7*(-2)/7*6/m. Solve w*r + 3 = 2*t, 4*r + 13 = -t - 2 for r.\n' | b'-3\n' | b'Let p(h) = 10*h - 36. Let v be (0 + 8)*1/2. Let m be p(v). Let w be -7*(-2)/7*6/m. Solve w*r + 3 = 2*t, 4*r + 13 = -t - 2 for r.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {v: 1, s: 7, u: 2, b: 1, o: 3}. What is prob of picking 2 s?\n' | b'3/13\n' | b'Two letters picked without replacement from {v: 1, s: 7, u: 2, b: 1, o: 3}. What is prob of picking 2 s?\n' | b'3/13\n' | deepmind/math_dataset |
b'Simplify (f/(f**(-3)/f))**(-1/33)*(f**(-16/9))**(-47) assuming f is positive.\n' | b'f**(8257/99)\n' | b'Simplify (f/(f**(-3)/f))**(-1/33)*(f**(-16/9))**(-47) assuming f is positive.\n' | b'f**(8257/99)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 6, o: 2}. Give prob of picking 2 o and 1 i.\n' | b'3/28\n' | b'Three letters picked without replacement from {i: 6, o: 2}. Give prob of picking 2 o and 1 i.\n' | b'3/28\n' | deepmind/math_dataset |
b'Simplify (r**(2/7))**(1/26) assuming r is positive.\n' | b'r**(1/91)\n' | b'Simplify (r**(2/7))**(1/26) assuming r is positive.\n' | b'r**(1/91)\n' | deepmind/math_dataset |
b'Let r be (1 + -6 + 4)*(-2 - 109). Suppose -99*x = -r*x + 72. Solve l = -4*l + 3*i - 24, l - i = -x for l.\n' | b'-3\n' | b'Let r be (1 + -6 + 4)*(-2 - 109). Suppose -99*x = -r*x + 72. Solve l = -4*l + 3*i - 24, l - i = -x for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (k*k**0*k)**(-27)*(k/(k*k*k**9))/(k**(-11)*k) assuming k is positive.\n' | b'k**(-54)\n' | b'Simplify (k*k**0*k)**(-27)*(k/(k*k*k**9))/(k**(-11)*k) assuming k is positive.\n' | b'k**(-54)\n' | deepmind/math_dataset |
b'Simplify ((y/((y/y**(-3))/y)*y)/y*y*y)**(-1/32)*y**(-13)/y**(4/7) assuming y is positive.\n' | b'y**(-95/7)\n' | b'Simplify ((y/((y/y**(-3))/y)*y)/y*y*y)**(-1/32)*y**(-13)/y**(4/7) assuming y is positive.\n' | b'y**(-95/7)\n' | deepmind/math_dataset |
b'Let y(j) be the second derivative of j**5/20 + j**4/2 + j**3/6 - j**2 + j. Let p = -98 + 102. Suppose 7*z + p*z + 55 = 0. Determine y(z).\n' | b'18\n' | b'Let y(j) be the second derivative of j**5/20 + j**4/2 + j**3/6 - j**2 + j. Let p = -98 + 102. Suppose 7*z + p*z + 55 = 0. Determine y(z).\n' | b'18\n' | deepmind/math_dataset |
b'Let h(o) = -10*o + 43. Let a be h(4). Solve 3*u = -a*j - 27, -2*j + 2 = -2*u - 0 for u.\n' | b'-5\n' | b'Let h(o) = -10*o + 43. Let a be h(4). Solve 3*u = -a*j - 27, -2*j + 2 = -2*u - 0 for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -108 = -2*a - 2*a. Let p = a - 12. Suppose -w + 3 = -4*b, p = -0*b - 4*b + 5*w. Solve 4*l - 2*v + 22 = b, -17 = 5*l - 2*v + 3*v for l.\n' | b'-4\n' | b'Suppose -108 = -2*a - 2*a. Let p = a - 12. Suppose -w + 3 = -4*b, p = -0*b - 4*b + 5*w. Solve 4*l - 2*v + 22 = b, -17 = 5*l - 2*v + 3*v for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nwnwyylylyl. What is prob of picking 1 l, 1 y, and 2 w?\n' | b'2/55\n' | b'Four letters picked without replacement from nwnwyylylyl. What is prob of picking 1 l, 1 y, and 2 w?\n' | b'2/55\n' | deepmind/math_dataset |
b'What is prob of sequence dddn when four letters picked without replacement from {n: 13, d: 6}?\n' | b'65/3876\n' | b'What is prob of sequence dddn when four letters picked without replacement from {n: 13, d: 6}?\n' | b'65/3876\n' | deepmind/math_dataset |
b'What is prob of sequence qa when two letters picked without replacement from {c: 1, d: 4, o: 2, a: 2, q: 1}?\n' | b'1/45\n' | b'What is prob of sequence qa when two letters picked without replacement from {c: 1, d: 4, o: 2, a: 2, q: 1}?\n' | b'1/45\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, f: 1, d: 2, m: 7}.\n' | b'1/66\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, f: 1, d: 2, m: 7}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify i**(-6)/i*(i**(-2)/i)/i*((i/(i*i**1))/i)**16 assuming i is positive.\n' | b'i**(-43)\n' | b'Simplify i**(-6)/i*(i**(-2)/i)/i*((i/(i*i**1))/i)**16 assuming i is positive.\n' | b'i**(-43)\n' | deepmind/math_dataset |
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