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 {n: 1, q: 3, w: 5, x: 6, g: 2}. Give prob of sequence qgg.\n' | b'1/680\n' | b'Three letters picked without replacement from {n: 1, q: 3, w: 5, x: 6, g: 2}. Give prob of sequence qgg.\n' | b'1/680\n' | deepmind/math_dataset |
b'Let a(h) = 2*h + 8*h**2 - 5 - 11 + 19 - 2*h**3 + 3*h**3. Calculate a(-8).\n' | b'-13\n' | b'Let a(h) = 2*h + 8*h**2 - 5 - 11 + 19 - 2*h**3 + 3*h**3. Calculate a(-8).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 2, e: 2, j: 1, t: 2, p: 1, i: 1}. What is prob of picking 1 p and 1 j?\n' | b'1/36\n' | b'Two letters picked without replacement from {l: 2, e: 2, j: 1, t: 2, p: 1, i: 1}. What is prob of picking 1 p and 1 j?\n' | b'1/36\n' | deepmind/math_dataset |
b'Let r(f) = 3*f**2 - f. Let g be r(-1). Find the first derivative of 2*n**g + 2 + 2 + 1 - 1 wrt n.\n' | b'8*n**3\n' | b'Let r(f) = 3*f**2 - f. Let g be r(-1). Find the first derivative of 2*n**g + 2 + 2 + 1 - 1 wrt n.\n' | b'8*n**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from btbttbtt. Give prob of picking 2 t.\n' | b'5/14\n' | b'Two letters picked without replacement from btbttbtt. Give prob of picking 2 t.\n' | b'5/14\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d when two letters picked without replacement from ddfdffffdfddfddddff.\n' | b'5/19\n' | b'Calculate prob of picking 2 d when two letters picked without replacement from ddfdffffdfddfddddff.\n' | b'5/19\n' | deepmind/math_dataset |
b'Simplify ((d*d**(4/15))/((d**(-32)/d*d)/d))/(d**(1/7)*d*d**4) assuming d is positive.\n' | b'd**(3058/105)\n' | b'Simplify ((d*d**(4/15))/((d**(-32)/d*d)/d))/(d**(1/7)*d*d**4) assuming d is positive.\n' | b'd**(3058/105)\n' | deepmind/math_dataset |
b'Simplify d*d**7/d*d*d/d**(-2)*d*(d/d**(2/21)*d)**(-7/10) assuming d is positive.\n' | b'd**(32/3)\n' | b'Simplify d*d**7/d*d*d/d**(-2)*d*(d/d**(2/21)*d)**(-7/10) assuming d is positive.\n' | b'd**(32/3)\n' | deepmind/math_dataset |
b'Let d(i) be the first derivative of -359*i**4/4 + 490*i - 346. What is the first derivative of d(u) wrt u?\n' | b'-1077*u**2\n' | b'Let d(i) be the first derivative of -359*i**4/4 + 490*i - 346. What is the first derivative of d(u) wrt u?\n' | b'-1077*u**2\n' | deepmind/math_dataset |
b'Let t = -8 + 10. Let z(w) = 3 + w**2 + 2*w + 2*w - 4*w**3 + 3*w**3 - 2*w**t. Calculate z(-3).\n' | b'9\n' | b'Let t = -8 + 10. Let z(w) = 3 + w**2 + 2*w + 2*w - 4*w**3 + 3*w**3 - 2*w**t. Calculate z(-3).\n' | b'9\n' | deepmind/math_dataset |
b'Let u(y) = -11*y + 64. Let g(v) = 20*v - 128. Let b(m) = 4*g(m) + 7*u(m). What is the derivative of b(d) wrt d?\n' | b'3\n' | b'Let u(y) = -11*y + 64. Let g(v) = 20*v - 128. Let b(m) = 4*g(m) + 7*u(m). What is the derivative of b(d) wrt d?\n' | b'3\n' | deepmind/math_dataset |
b'Let h be -1 - -9 - (-4 + 6). Let y = h + -4. Differentiate y*w - 1 + 0 + 0*w + w with respect to w.\n' | b'3\n' | b'Let h be -1 - -9 - (-4 + 6). Let y = h + -4. Differentiate y*w - 1 + 0 + 0*w + w with respect to w.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iawiwfi. Give prob of sequence ai.\n' | b'1/14\n' | b'Two letters picked without replacement from iawiwfi. Give prob of sequence ai.\n' | b'1/14\n' | deepmind/math_dataset |
b'Let i(n) = -n**2 + 9*n - 9. Suppose -104 = 3*y - 2*l - 118, 4*y - 2 = 6*l. What is i(y)?\n' | b'-1\n' | b'Let i(n) = -n**2 + 9*n - 9. Suppose -104 = 3*y - 2*l - 118, 4*y - 2 = 6*l. What is i(y)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify g**(-4)*g**3*(g*g/((g*g*g/(g*g**0)*g*g)/g))/g*g/(g*g/g**3) assuming g is positive.\n' | b'1/g\n' | b'Simplify g**(-4)*g**3*(g*g/((g*g*g/(g*g**0)*g*g)/g))/g*g/(g*g/g**3) assuming g is positive.\n' | b'1/g\n' | deepmind/math_dataset |
b'Let f(v) be the second derivative of 0*v**2 + 0*v**3 - 4*v + 1/180*v**6 + 0 + 1/30*v**5 + 1/6*v**4. Let l(g) be the third derivative of f(g). Calculate l(-3).\n' | b'-8\n' | b'Let f(v) be the second derivative of 0*v**2 + 0*v**3 - 4*v + 1/180*v**6 + 0 + 1/30*v**5 + 1/6*v**4. Let l(g) be the third derivative of f(g). Calculate l(-3).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of sequence gx when two letters picked without replacement from xxxxyxxxxgxxyxxxx.\n' | b'7/136\n' | b'Calculate prob of sequence gx when two letters picked without replacement from xxxxyxxxxgxxyxxxx.\n' | b'7/136\n' | deepmind/math_dataset |
b'Suppose -12 - 70 = -5*k - s, 3*k - 2*s - 44 = 0. Suppose -5*z = -14 - k. What is the third derivative of -5*i**4 + z*i - 4*i**2 - 6*i wrt i?\n' | b'-120*i\n' | b'Suppose -12 - 70 = -5*k - s, 3*k - 2*s - 44 = 0. Suppose -5*z = -14 - k. What is the third derivative of -5*i**4 + z*i - 4*i**2 - 6*i wrt i?\n' | b'-120*i\n' | deepmind/math_dataset |
b'Let x(r) = -5*r - 20. Let k be (7/(42/(-4)) + 2)/((-50)/75). What is x(k)?\n' | b'-10\n' | b'Let x(r) = -5*r - 20. Let k be (7/(42/(-4)) + 2)/((-50)/75). What is x(k)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let s(z) be the first derivative of -z**6/360 - z**4/8 - z**3 - 5. Let j(t) be the third derivative of s(t). Give j(0).\n' | b'-3\n' | b'Let s(z) be the first derivative of -z**6/360 - z**4/8 - z**3 - 5. Let j(t) be the third derivative of s(t). Give j(0).\n' | b'-3\n' | deepmind/math_dataset |
b'Let p(r) = r**2 - 6*r - 39. Let m(l) = l**3 - 31*l**2 + 109*l - 13. Let o be m(27). Give p(o).\n' | b'73\n' | b'Let p(r) = r**2 - 6*r - 39. Let m(l) = l**3 - 31*l**2 + 109*l - 13. Let o be m(27). Give p(o).\n' | b'73\n' | deepmind/math_dataset |
b'Simplify (s/((s*(s*s*s*(s/((s**(-16)/s*s)/s))/s*s*s)/s)/s)*s/((s/(s**3/s*s))/s))**31 assuming s is positive.\n' | b's**(-496)\n' | b'Simplify (s/((s*(s*s*s*(s/((s**(-16)/s*s)/s))/s*s*s)/s)/s)*s/((s/(s**3/s*s))/s))**31 assuming s is positive.\n' | b's**(-496)\n' | deepmind/math_dataset |
b'Simplify ((((l/l**(-4))/(l/(l*l/(l/(l/l**(3/4))))*l))/(((l*l**(-1/2))/l)/l)**(18/5))**(-5/7))**(-38) assuming l is positive.\n' | b'l**(3667/14)\n' | b'Simplify ((((l/l**(-4))/(l/(l*l/(l/(l/l**(3/4))))*l))/(((l*l**(-1/2))/l)/l)**(18/5))**(-5/7))**(-38) assuming l is positive.\n' | b'l**(3667/14)\n' | deepmind/math_dataset |
b'Let j be (-12)/(-2) + 2/2. Find the second derivative of -11*n + 10*n**5 - 3*n**5 + j*n wrt n.\n' | b'140*n**3\n' | b'Let j be (-12)/(-2) + 2/2. Find the second derivative of -11*n + 10*n**5 - 3*n**5 + j*n wrt n.\n' | b'140*n**3\n' | deepmind/math_dataset |
b'Let h = -22 + 42. Suppose h = -0*f + 5*f. Suppose -2*d - 6 = -s, 3*d - 10 = -s + 7*d. Solve -s*o + m + f = 5, -4*m - 6 = 2*o for o.\n' | b'-1\n' | b'Let h = -22 + 42. Suppose h = -0*f + 5*f. Suppose -2*d - 6 = -s, 3*d - 10 = -s + 7*d. Solve -s*o + m + f = 5, -4*m - 6 = 2*o for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Let z(u) be the second derivative of -u**4/6 - 19*u**3/6 + 18*u**2 + 112*u. Let k be z(-11). Solve -3*r - 2*r = -k*w + 19, -r = 5 for w.\n' | b'-2\n' | b'Let z(u) be the second derivative of -u**4/6 - 19*u**3/6 + 18*u**2 + 112*u. Let k be z(-11). Solve -3*r - 2*r = -k*w + 19, -r = 5 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {e: 1, x: 6, c: 3, h: 2}.\n' | b'2/11\n' | b'Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {e: 1, x: 6, c: 3, h: 2}.\n' | b'2/11\n' | deepmind/math_dataset |
b'Let j(c) = 2*c + 4. Let t be 2 + (-5)/((-5)/18). Suppose -h - t = -3*h. Let n be (-1 - -3)*(-25)/h. Give j(n).\n' | b'-6\n' | b'Let j(c) = 2*c + 4. Let t be 2 + (-5)/((-5)/18). Suppose -h - t = -3*h. Let n be (-1 - -3)*(-25)/h. Give j(n).\n' | b'-6\n' | deepmind/math_dataset |
b'Let z be -3 + (3 + -4)*-3. Suppose x + 3*y = 23 - 3, 2*x + 2*y - 44 = z. Suppose -5*g + 63 = x. Solve -1 - g = 3*f, 3*f + 21 = 4*o for o.\n' | b'3\n' | b'Let z be -3 + (3 + -4)*-3. Suppose x + 3*y = 23 - 3, 2*x + 2*y - 44 = z. Suppose -5*g + 63 = x. Solve -1 - g = 3*f, 3*f + 21 = 4*o for o.\n' | b'3\n' | deepmind/math_dataset |
b'Let m(v) be the third derivative of 4*v**2 + 10/3*v**3 + 0 + 1/12*v**4 + 0*v. Give m(-10).\n' | b'0\n' | b'Let m(v) be the third derivative of 4*v**2 + 10/3*v**3 + 0 + 1/12*v**4 + 0*v. Give m(-10).\n' | b'0\n' | deepmind/math_dataset |
b'Let u(b) = -b**2 + 1 - b**2 - 108490*b**3 - 4*b**2 + 108491*b**3 - 2*b. Give u(6).\n' | b'-11\n' | b'Let u(b) = -b**2 + 1 - b**2 - 108490*b**3 - 4*b**2 + 108491*b**3 - 2*b. Give u(6).\n' | b'-11\n' | deepmind/math_dataset |
b'Suppose -15 + 4 = -2*w - 3*q, -4*w = q - 7. Let u(y) = 8*y**2 - y. Determine u(w).\n' | b'7\n' | b'Suppose -15 + 4 = -2*w - 3*q, -4*w = q - 7. Let u(y) = 8*y**2 - y. Determine u(w).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 5*w - 8*w = -15. What is the second derivative of 12*y - 2*y**5 - 8*y**5 - 4*y**w + 3*y**5 wrt y?\n' | b'-220*y**3\n' | b'Suppose 5*w - 8*w = -15. What is the second derivative of 12*y - 2*y**5 - 8*y**5 - 4*y**w + 3*y**5 wrt y?\n' | b'-220*y**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kkkkkkfffkf. Give prob of picking 2 f.\n' | b'6/55\n' | b'Two letters picked without replacement from kkkkkkfffkf. Give prob of picking 2 f.\n' | b'6/55\n' | deepmind/math_dataset |
b'Suppose -2*m + 0*m + n + 2 = 0, 3*m = 5*n + 10. Let b(t) = t**2 - 7*t + 8. Let h be b(4). Let r = m - h. Solve -g - 4*a - 6 = r*g, 6 = -g - 2*a for g.\n' | b'2\n' | b'Suppose -2*m + 0*m + n + 2 = 0, 3*m = 5*n + 10. Let b(t) = t**2 - 7*t + 8. Let h be b(4). Let r = m - h. Solve -g - 4*a - 6 = r*g, 6 = -g - 2*a for g.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vmlivimgmmmgvlim. What is prob of sequence lvii?\n' | b'3/3640\n' | b'Four letters picked without replacement from vmlivimgmmmgvlim. What is prob of sequence lvii?\n' | b'3/3640\n' | deepmind/math_dataset |
b'Let m(b) = b**3 + 1 - b - 5*b - 4*b**2 + 9 - 1. Let q be m(5). Let d = 13 - 11. Solve -2*f + 2*y + d = 0, -f = -6*f - 4*y - q for f.\n' | b'0\n' | b'Let m(b) = b**3 + 1 - b - 5*b - 4*b**2 + 9 - 1. Let q be m(5). Let d = 13 - 11. Solve -2*f + 2*y + d = 0, -f = -6*f - 4*y - q for f.\n' | b'0\n' | deepmind/math_dataset |
b'Let d be 1 + 3 + -6 + 5. Solve 5 = d*l + y, l - y + 1 = -0*y for l.\n' | b'1\n' | b'Let d be 1 + 3 + -6 + 5. Solve 5 = d*l + y, l - y + 1 = -0*y for l.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iiieiiqqiqiiieieeiq. What is prob of sequence ii?\n' | b'55/171\n' | b'Two letters picked without replacement from iiieiiqqiqiiieieeiq. What is prob of sequence ii?\n' | b'55/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, x: 3, a: 1, d: 3, q: 2, w: 1}. What is prob of sequence awx?\n' | b'1/440\n' | b'Three letters picked without replacement from {m: 2, x: 3, a: 1, d: 3, q: 2, w: 1}. What is prob of sequence awx?\n' | b'1/440\n' | deepmind/math_dataset |
b'Simplify (r**(-2/23)/r**(-2/11))/((r**(1/8)*r*r)/(r**(-1/3)*r))*((r**(-2/7)*r*r)/(r*r/((r**(-1)*r)/r)*r))/(r/r**0)**(2/17) assuming r is positive.\n' | b'r**(-2721793/722568)\n' | b'Simplify (r**(-2/23)/r**(-2/11))/((r**(1/8)*r*r)/(r**(-1/3)*r))*((r**(-2/7)*r*r)/(r*r/((r**(-1)*r)/r)*r))/(r/r**0)**(2/17) assuming r is positive.\n' | b'r**(-2721793/722568)\n' | deepmind/math_dataset |
b'What is the third derivative of -37*u**2 - 17*u**6 - u**6 + 55*u**2 wrt u?\n' | b'-2160*u**3\n' | b'What is the third derivative of -37*u**2 - 17*u**6 - u**6 + 55*u**2 wrt u?\n' | b'-2160*u**3\n' | deepmind/math_dataset |
b'What is prob of sequence xo when two letters picked without replacement from eexxxevxox?\n' | b'1/18\n' | b'What is prob of sequence xo when two letters picked without replacement from eexxxevxox?\n' | b'1/18\n' | deepmind/math_dataset |
b'Let p(n) = -5*n**3 + 2*n**2 + n - 1. Suppose 0 = -3*b - 2*c + 2 + 5, -5*c + 25 = 0. Determine p(b).\n' | b'5\n' | b'Let p(n) = -5*n**3 + 2*n**2 + n - 1. Suppose 0 = -3*b - 2*c + 2 + 5, -5*c + 25 = 0. Determine p(b).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from {u: 17, v: 2}.\n' | b'136/171\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from {u: 17, v: 2}.\n' | b'136/171\n' | deepmind/math_dataset |
b'Let k(a) = 2*a + 4. Let z(u) = -3*u - 7. Let i(f) = 5*k(f) + 3*z(f). What is i(3)?\n' | b'2\n' | b'Let k(a) = 2*a + 4. Let z(u) = -3*u - 7. Let i(f) = 5*k(f) + 3*z(f). What is i(3)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((q*q**6*q*q**(-2/9))/(q**(-2)*q/(q/(q**(-4)*q)*q)))**(7/11) assuming q is positive.\n' | b'q**(868/99)\n' | b'Simplify ((q*q**6*q*q**(-2/9))/(q**(-2)*q/(q/(q**(-4)*q)*q)))**(7/11) assuming q is positive.\n' | b'q**(868/99)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ubbb when four letters picked without replacement from {b: 4, y: 1, t: 5, u: 1}.\n' | b'1/330\n' | b'Calculate prob of sequence ubbb when four letters picked without replacement from {b: 4, y: 1, t: 5, u: 1}.\n' | b'1/330\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 t and 1 d when four letters picked without replacement from {l: 2, d: 4, t: 3}.\n' | b'2/63\n' | b'Calculate prob of picking 3 t and 1 d when four letters picked without replacement from {l: 2, d: 4, t: 3}.\n' | b'2/63\n' | deepmind/math_dataset |
b'Simplify (v**(-40)/v)/v**(2/3)*v**(-1/3)*v**(-33)*v*v assuming v is positive.\n' | b'v**(-73)\n' | b'Simplify (v**(-40)/v)/v**(2/3)*v**(-1/3)*v**(-33)*v*v assuming v is positive.\n' | b'v**(-73)\n' | deepmind/math_dataset |
b'Let m(b) = -b + 15. Let u(k) = k - 26. Let g(q) = 5*m(q) + 3*u(q). Determine g(0).\n' | b'-3\n' | b'Let m(b) = -b + 15. Let u(k) = k - 26. Let g(q) = 5*m(q) + 3*u(q). Determine g(0).\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(d) = -13*d**3 - 3*d**2 - 5*d - 4. Let k be l(-2). What is the third derivative of k*z**2 - 22*z**3 + 86*z**3 + 34*z**3 + 125*z**3 - 43*z**3 wrt z?\n' | b'1080\n' | b'Let l(d) = -13*d**3 - 3*d**2 - 5*d - 4. Let k be l(-2). What is the third derivative of k*z**2 - 22*z**3 + 86*z**3 + 34*z**3 + 125*z**3 - 43*z**3 wrt z?\n' | b'1080\n' | deepmind/math_dataset |
b'Let v(u) be the second derivative of -u**5/120 - u**4/12 - u**3/2 - u. Let x(l) be the second derivative of v(l). Find the first derivative of x(f) wrt f.\n' | b'-1\n' | b'Let v(u) be the second derivative of -u**5/120 - u**4/12 - u**3/2 - u. Let x(l) be the second derivative of v(l). Find the first derivative of x(f) wrt f.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (s/s**(-9)*s)/(s*s*s*s**(-1/34)*s)*s**4*s*s**(-5) assuming s is positive.\n' | b's**(239/34)\n' | b'Simplify (s/s**(-9)*s)/(s*s*s*s**(-1/34)*s)*s**4*s*s**(-5) assuming s is positive.\n' | b's**(239/34)\n' | deepmind/math_dataset |
b'What is prob of sequence yiii when four letters picked without replacement from {i: 8, y: 3}?\n' | b'7/55\n' | b'What is prob of sequence yiii when four letters picked without replacement from {i: 8, y: 3}?\n' | b'7/55\n' | deepmind/math_dataset |
b'What is prob of picking 2 a, 1 f, and 1 j when four letters picked without replacement from jmaajfjfjam?\n' | b'4/55\n' | b'What is prob of picking 2 a, 1 f, and 1 j when four letters picked without replacement from jmaajfjfjam?\n' | b'4/55\n' | deepmind/math_dataset |
b'Simplify (((j/j**6)/((j**6*j)/j))/(j**(1/2)/j**2))**(3/2) assuming j is positive.\n' | b'j**(-57/4)\n' | b'Simplify (((j/j**6)/((j**6*j)/j))/(j**(1/2)/j**2))**(3/2) assuming j is positive.\n' | b'j**(-57/4)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from msmmmlsssllslsss. Give prob of picking 2 s, 1 m, and 1 l.\n' | b'16/65\n' | b'Four letters picked without replacement from msmmmlsssllslsss. Give prob of picking 2 s, 1 m, and 1 l.\n' | b'16/65\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 7, d: 5}. What is prob of sequence ds?\n' | b'35/132\n' | b'Two letters picked without replacement from {s: 7, d: 5}. What is prob of sequence ds?\n' | b'35/132\n' | deepmind/math_dataset |
b'Let x be 2491/265 + 24/(-10). Solve -m - m - 5*z - x = 0, z = -5*m + 17 for m.\n' | b'4\n' | b'Let x be 2491/265 + 24/(-10). Solve -m - m - 5*z - x = 0, z = -5*m + 17 for m.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 f when two letters picked without replacement from icihffcizfzfffhih?\n' | b'3/34\n' | b'What is prob of picking 1 z and 1 f when two letters picked without replacement from icihffcizfzfffhih?\n' | b'3/34\n' | deepmind/math_dataset |
b'Let h(x) be the second derivative of 29*x**6/30 - x**3/2 - 18*x. Find the second derivative of h(o) wrt o.\n' | b'348*o**2\n' | b'Let h(x) be the second derivative of 29*x**6/30 - x**3/2 - 18*x. Find the second derivative of h(o) wrt o.\n' | b'348*o**2\n' | deepmind/math_dataset |
b'Let u(s) = s**3 + 4*s**2 + 5*s - 8. Let b(w) = w**3 + 5*w**2 + 5*w - 8. Let l(r) = 3*b(r) - 2*u(r). What is l(-6)?\n' | b'-2\n' | b'Let u(s) = s**3 + 4*s**2 + 5*s - 8. Let b(w) = w**3 + 5*w**2 + 5*w - 8. Let l(r) = 3*b(r) - 2*u(r). What is l(-6)?\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((((l**10/l)/l)**(-27))**44)**5 assuming l is positive.\n' | b'l**(-47520)\n' | b'Simplify ((((l**10/l)/l)**(-27))**44)**5 assuming l is positive.\n' | b'l**(-47520)\n' | deepmind/math_dataset |
b'Let v(h) be the third derivative of 1951*h**5/60 - 175*h**4/12 - 2*h**3/3 + 2296*h**2. What is the second derivative of v(x) wrt x?\n' | b'3902\n' | b'Let v(h) be the third derivative of 1951*h**5/60 - 175*h**4/12 - 2*h**3/3 + 2296*h**2. What is the second derivative of v(x) wrt x?\n' | b'3902\n' | deepmind/math_dataset |
b'Suppose 0 = -0*w - 2*w + 2. Let y(c) = -3*c**3. Let z(m) = m**3 + m. Let h(b) = w*z(b) + y(b). What is the second derivative of h(n) wrt n?\n' | b'-12*n\n' | b'Suppose 0 = -0*w - 2*w + 2. Let y(c) = -3*c**3. Let z(m) = m**3 + m. Let h(b) = w*z(b) + y(b). What is the second derivative of h(n) wrt n?\n' | b'-12*n\n' | deepmind/math_dataset |
b'Suppose 0 = 2*z - 0*z + 6. Let d(s) = 6*s + 3. Calculate d(z).\n' | b'-15\n' | b'Suppose 0 = 2*z - 0*z + 6. Let d(s) = 6*s + 3. Calculate d(z).\n' | b'-15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gghgmmhgggmmh. What is prob of sequence mhgm?\n' | b'9/715\n' | b'Four letters picked without replacement from gghgmmhgggmmh. What is prob of sequence mhgm?\n' | b'9/715\n' | deepmind/math_dataset |
b'What is prob of picking 4 k when four letters picked without replacement from ckkkkckkkkkk?\n' | b'14/33\n' | b'What is prob of picking 4 k when four letters picked without replacement from ckkkkckkkkkk?\n' | b'14/33\n' | deepmind/math_dataset |
b'Let k = 6 + -2. Let t be (-336)/24*(-10)/k. Let i = 33 - t. Let u(f) = f**2 + 2*f + 3. Determine u(i).\n' | b'3\n' | b'Let k = 6 + -2. Let t be (-336)/24*(-10)/k. Let i = 33 - t. Let u(f) = f**2 + 2*f + 3. Determine u(i).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -4*k + 3*q - 6 = 6, 0 = -3*k - q - 22. Let i(l) be the second derivative of l**4/12 + l**3 - 5*l**2/2 + 13*l. Calculate i(k).\n' | b'-5\n' | b'Suppose -4*k + 3*q - 6 = 6, 0 = -3*k - q - 22. Let i(l) be the second derivative of l**4/12 + l**3 - 5*l**2/2 + 13*l. Calculate i(k).\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence ilji when four letters picked without replacement from iiilljlji.\n' | b'1/42\n' | b'Calculate prob of sequence ilji when four letters picked without replacement from iiilljlji.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let d(s) = 48*s - 5245. Let p be d(110). Let t(k) = 14*k - 485. Give t(p).\n' | b'5\n' | b'Let d(s) = 48*s - 5245. Let p be d(110). Let t(k) = 14*k - 485. Give t(p).\n' | b'5\n' | deepmind/math_dataset |
b'Let r be 7 - 5 - (-3 - 1). What is the third derivative of 5*p**6 + 12*p**r + 14*p**2 - 26*p**2 wrt p?\n' | b'2040*p**3\n' | b'Let r be 7 - 5 - (-3 - 1). What is the third derivative of 5*p**6 + 12*p**r + 14*p**2 - 26*p**2 wrt p?\n' | b'2040*p**3\n' | deepmind/math_dataset |
b'Simplify ((m*m**(1/5))/((m**2/m)/m))/(m/(((((m/(m**(1/4)/m))/m)/m)/m)/m))**(28/9) assuming m is positive.\n' | b'm**(-401/45)\n' | b'Simplify ((m*m**(1/5))/((m**2/m)/m))/(m/(((((m/(m**(1/4)/m))/m)/m)/m)/m))**(28/9) assuming m is positive.\n' | b'm**(-401/45)\n' | deepmind/math_dataset |
b'Let l(r) = 2*r**2 - r**2 + 1 + 3 + r**3 + r**2. Let v be l(-2). Solve -q + 0*p - p - 4 = 0, -v*p + 29 = -5*q for q.\n' | b'-5\n' | b'Let l(r) = 2*r**2 - r**2 + 1 + 3 + r**3 + r**2. Let v be l(-2). Solve -q + 0*p - p - 4 = 0, -v*p + 29 = -5*q for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 7, n: 4, a: 1, x: 3, w: 2}. What is prob of picking 3 x?\n' | b'1/680\n' | b'Three letters picked without replacement from {d: 7, n: 4, a: 1, x: 3, w: 2}. What is prob of picking 3 x?\n' | b'1/680\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 2, a: 5, l: 4, d: 1, r: 2}. Give prob of picking 1 r and 1 l.\n' | b'8/91\n' | b'Two letters picked without replacement from {k: 2, a: 5, l: 4, d: 1, r: 2}. Give prob of picking 1 r and 1 l.\n' | b'8/91\n' | deepmind/math_dataset |
b'Let m = 963 - 958. Suppose 3*y - 20 = -4*j - 0*j, -10 = -2*j + 4*y. Solve j*r - 2*l - 17 = 0, m*r + 0*r + l = 14 for r.\n' | b'3\n' | b'Let m = 963 - 958. Suppose 3*y - 20 = -4*j - 0*j, -10 = -2*j + 4*y. Solve j*r - 2*l - 17 = 0, m*r + 0*r + l = 14 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Let i(m) be the first derivative of m**3/3 - 21*m**2/2 - 95*m + 6590. What is i(28)?\n' | b'101\n' | b'Let i(m) be the first derivative of m**3/3 - 21*m**2/2 - 95*m + 6590. What is i(28)?\n' | b'101\n' | deepmind/math_dataset |
b'Simplify (m*m/m**(1/5)*m)/m**6 assuming m is positive.\n' | b'm**(-16/5)\n' | b'Simplify (m*m/m**(1/5)*m)/m**6 assuming m is positive.\n' | b'm**(-16/5)\n' | deepmind/math_dataset |
b'Suppose -1965 = 21*o - 1671. Let q(w) = -w**2 - 16*w. Determine q(o).\n' | b'28\n' | b'Suppose -1965 = 21*o - 1671. Let q(w) = -w**2 - 16*w. Determine q(o).\n' | b'28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 5, j: 1, x: 3, f: 1, k: 1}. Give prob of picking 2 x and 1 d.\n' | b'1/11\n' | b'Three letters picked without replacement from {d: 5, j: 1, x: 3, f: 1, k: 1}. Give prob of picking 2 x and 1 d.\n' | b'1/11\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzkzzzzzr. Give prob of sequence rzkz.\n' | b'1/72\n' | b'Four letters picked without replacement from zzkzzzzzr. Give prob of sequence rzkz.\n' | b'1/72\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {q: 3, e: 1, a: 1, c: 7}.\n' | b'7/66\n' | b'Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {q: 3, e: 1, a: 1, c: 7}.\n' | b'7/66\n' | deepmind/math_dataset |
b'Simplify o/(o**(-3/4)*o)*((o**(-1/7)/o)/o)/o*o*o*o assuming o is positive.\n' | b'o**(17/28)\n' | b'Simplify o/(o**(-3/4)*o)*((o**(-1/7)/o)/o)/o*o*o*o assuming o is positive.\n' | b'o**(17/28)\n' | deepmind/math_dataset |
b'Let j(q) = -2*q**2 + 4*q - 2. Suppose 0 = d + b - 3, -5*d + d + 2*b + 36 = 0. Let k be 198/(-42) - 2/d. Let v = k - -7. Give j(v).\n' | b'-2\n' | b'Let j(q) = -2*q**2 + 4*q - 2. Suppose 0 = d + b - 3, -5*d + d + 2*b + 36 = 0. Let k be 198/(-42) - 2/d. Let v = k - -7. Give j(v).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i = 723 - 720. Let n = 8 - 3. What is the second derivative of 10*s**5 + 12*s - i*s - 14*s**n wrt s?\n' | b'-80*s**3\n' | b'Let i = 723 - 720. Let n = 8 - 3. What is the second derivative of 10*s**5 + 12*s - i*s - 14*s**n wrt s?\n' | b'-80*s**3\n' | deepmind/math_dataset |
b'Let f be -3 - (6/(-2) - 0). Differentiate f - 4 + 7*l**4 - 3*l**4 wrt l.\n' | b'16*l**3\n' | b'Let f be -3 - (6/(-2) - 0). Differentiate f - 4 + 7*l**4 - 3*l**4 wrt l.\n' | b'16*l**3\n' | deepmind/math_dataset |
b'Let b = 898 - 788. Suppose 34 + b = 24*o. Solve 2*m + o = j - 2*j, 4*m - 4*j + 24 = 0 for m.\n' | b'-4\n' | b'Let b = 898 - 788. Suppose 34 + b = 24*o. Solve 2*m + o = j - 2*j, 4*m - 4*j + 24 = 0 for m.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 1 p, 1 l, and 1 w when four letters picked without replacement from {q: 1, l: 2, w: 1, p: 3}?\n' | b'6/35\n' | b'What is prob of picking 1 q, 1 p, 1 l, and 1 w when four letters picked without replacement from {q: 1, l: 2, w: 1, p: 3}?\n' | b'6/35\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 w when three letters picked without replacement from vwvwwvwwvvvvwwvv.\n' | b'1/16\n' | b'Calculate prob of picking 3 w when three letters picked without replacement from vwvwwvwwvvvvwwvv.\n' | b'1/16\n' | deepmind/math_dataset |
b'Suppose 0 = -18*b + 259 + 551. Differentiate b*l - 22 - 46 - 47 + 31 with respect to l.\n' | b'45\n' | b'Suppose 0 = -18*b + 259 + 551. Differentiate b*l - 22 - 46 - 47 + 31 with respect to l.\n' | b'45\n' | deepmind/math_dataset |
b'Let j be (-11 + 8)/((-6)/8). Let u(k) = -3*k**2 - 25*k - 22. Let x be u(-7). Suppose 21*q - x*q = 30. Solve 0 = -j*d - 4, q*i - 2 = -3*d - 11 for i.\n' | b'-3\n' | b'Let j be (-11 + 8)/((-6)/8). Let u(k) = -3*k**2 - 25*k - 22. Let x be u(-7). Suppose 21*q - x*q = 30. Solve 0 = -j*d - 4, q*i - 2 = -3*d - 11 for i.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 g, 1 v, and 1 c when three letters picked without replacement from vccvggmcgvc?\n' | b'12/55\n' | b'What is prob of picking 1 g, 1 v, and 1 c when three letters picked without replacement from vccvggmcgvc?\n' | b'12/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from tttttfttttttttt. What is prob of sequence tttf?\n' | b'1/15\n' | b'Four letters picked without replacement from tttttfttttttttt. What is prob of sequence tttf?\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify ((h**1*h)**(-3/10))**(4/9)/(h*h**(1/18)*h*h/((h**7*h)/h))**(-2/19) assuming h is positive.\n' | b'h**(-583/855)\n' | b'Simplify ((h**1*h)**(-3/10))**(4/9)/(h*h**(1/18)*h*h/((h**7*h)/h))**(-2/19) assuming h is positive.\n' | b'h**(-583/855)\n' | deepmind/math_dataset |
b'Suppose -16 = 4*j + 4*f, j = 4*f + 13 + 3. Solve g = 3*i + 5, j = -7*i + 4*i + 4*g - 11 for i.\n' | b'-1\n' | b'Suppose -16 = 4*j + 4*f, j = 4*f + 13 + 3. Solve g = 3*i + 5, j = -7*i + 4*i + 4*g - 11 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (p**(-1/3)*p*p)**(-34)*((p*p**(2/5))/p)**(-18) assuming p is positive.\n' | b'p**(-958/15)\n' | b'Simplify (p**(-1/3)*p*p)**(-34)*((p*p**(2/5))/p)**(-18) assuming p is positive.\n' | b'p**(-958/15)\n' | deepmind/math_dataset |
b'Let n(b) = 4*b - 3. Let c be n(2). Suppose 4*y + q - 10 = -q, -c*y - q = -14. Solve -4*v + 4*s = -12, v - y*s + 0*s = -1 for v.\n' | b'5\n' | b'Let n(b) = 4*b - 3. Let c be n(2). Suppose 4*y + q - 10 = -q, -c*y - q = -14. Solve -4*v + 4*s = -12, v - y*s + 0*s = -1 for v.\n' | b'5\n' | deepmind/math_dataset |
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