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 t be 2 + -1 - (1 + -1). Suppose 0 = 2*a - 9 + t. Suppose 2*k = -5*j + 3, a*j = -0*k - 4*k. Let v(y) = -10*y**3 - y**2 - 2*y - 1. What is v(k)?\n' | b'10\n' | b'Let t be 2 + -1 - (1 + -1). Suppose 0 = 2*a - 9 + t. Suppose 2*k = -5*j + 3, a*j = -0*k - 4*k. Let v(y) = -10*y**3 - y**2 - 2*y - 1. What is v(k)?\n' | b'10\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f and 1 g when three letters picked without replacement from mfgmiirf.\n' | b'1/56\n' | b'Calculate prob of picking 2 f and 1 g when three letters picked without replacement from mfgmiirf.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let p(t) be the third derivative of t**4/8 + t**3/6 - 2*t**2. Let h(s) = 6*s + 3. Let c(q) = 4*h(q) - 9*p(q). Calculate c(3).\n' | b'-6\n' | b'Let p(t) be the third derivative of t**4/8 + t**3/6 - 2*t**2. Let h(s) = 6*s + 3. Let c(q) = 4*h(q) - 9*p(q). Calculate c(3).\n' | b'-6\n' | deepmind/math_dataset |
b'Let v be (-9 + 5)*(-13 + 0). Let o be (-43 + 3)*-3*(-16)/40. Let k = o + v. Solve -4*z = k*u, -u = 5*z - 14 - 6 for z.\n' | b'5\n' | b'Let v be (-9 + 5)*(-13 + 0). Let o be (-43 + 3)*-3*(-16)/40. Let k = o + v. Solve -4*z = k*u, -u = 5*z - 14 - 6 for z.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -10 - 10 = -4*c. Let v(g) = g + 1. Let y be v(2). Let t(d) = 4 + 0 + 2*d - y*d. Calculate t(c).\n' | b'-1\n' | b'Suppose -10 - 10 = -4*c. Let v(g) = g + 1. Let y be v(2). Let t(d) = 4 + 0 + 2*d - y*d. Calculate t(c).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 4*g + 2*o = -g - 23, 4*o = 4*g + 24. Let w be g - (-11 - (-28)/7). Solve -3*q + 5 = 2*u + w*u, 2*u = 5*q + 35 for q.\n' | b'-5\n' | b'Suppose 4*g + 2*o = -g - 23, 4*o = 4*g + 24. Let w be g - (-11 - (-28)/7). Solve -3*q + 5 = 2*u + w*u, 2*u = 5*q + 35 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let t(k) = k**2 + 6*k - 90. Let h be t(7). Solve h = 3*o + n, 2*n = 8*o - 6*o - 6 for o.\n' | b'1\n' | b'Let t(k) = k**2 + 6*k - 90. Let h be t(7). Solve h = 3*o + n, 2*n = 8*o - 6*o - 6 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (u/((u*(u**37*u)/u)/u))/(u/u**(-3)*u*u) assuming u is positive.\n' | b'u**(-42)\n' | b'Simplify (u/((u*(u**37*u)/u)/u))/(u/u**(-3)*u*u) assuming u is positive.\n' | b'u**(-42)\n' | deepmind/math_dataset |
b'Let d(c) be the second derivative of -7*c**3/6 + 37*c**2/2 - c + 2. Differentiate d(h) with respect to h.\n' | b'-7\n' | b'Let d(c) be the second derivative of -7*c**3/6 + 37*c**2/2 - c + 2. Differentiate d(h) with respect to h.\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify (((k/(k/k**5*k))/k)/k*k**1)/(k**(2/11)*(k*k**(3/4)/k)/k*k*k) assuming k is positive.\n' | b'k**(47/44)\n' | b'Simplify (((k/(k/k**5*k))/k)/k*k**1)/(k**(2/11)*(k*k**(3/4)/k)/k*k*k) assuming k is positive.\n' | b'k**(47/44)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 1, l: 8, a: 9, c: 1}. What is prob of picking 2 l?\n' | b'28/171\n' | b'Two letters picked without replacement from {t: 1, l: 8, a: 9, c: 1}. What is prob of picking 2 l?\n' | b'28/171\n' | deepmind/math_dataset |
b'Calculate prob of sequence tft when three letters picked without replacement from {t: 5, f: 5}.\n' | b'5/36\n' | b'Calculate prob of sequence tft when three letters picked without replacement from {t: 5, f: 5}.\n' | b'5/36\n' | deepmind/math_dataset |
b'Suppose 0 = 2*u - 4 - 0. What is the second derivative of 3*l**u + 2*l + 4*l - 4*l - 5*l wrt l?\n' | b'6\n' | b'Suppose 0 = 2*u - 4 - 0. What is the second derivative of 3*l**u + 2*l + 4*l - 4*l - 5*l wrt l?\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of picking 1 m, 1 p, and 1 y when three letters picked without replacement from pylpyppmulplpyl?\n' | b'18/455\n' | b'What is prob of picking 1 m, 1 p, and 1 y when three letters picked without replacement from pylpyppmulplpyl?\n' | b'18/455\n' | deepmind/math_dataset |
b'Suppose 0 + 0 = -31*v. Suppose 53 = 2*z - 5*n, v = 4*z + 4*n - n - 93. Solve -z = -4*h - 2*a, 2*h - 4*h + 2*a + 6 = 0 for h.\n' | b'5\n' | b'Suppose 0 + 0 = -31*v. Suppose 53 = 2*z - 5*n, v = 4*z + 4*n - n - 93. Solve -z = -4*h - 2*a, 2*h - 4*h + 2*a + 6 = 0 for h.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, n: 2, e: 1, g: 3, s: 4}. Give prob of sequence ag.\n' | b'3/110\n' | b'Two letters picked without replacement from {a: 1, n: 2, e: 1, g: 3, s: 4}. Give prob of sequence ag.\n' | b'3/110\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 7, n: 3}. Give prob of picking 1 f and 3 n.\n' | b'1/30\n' | b'Four letters picked without replacement from {f: 7, n: 3}. Give prob of picking 1 f and 3 n.\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 n when three letters picked without replacement from zzzznnnnnz.\n' | b'1/12\n' | b'Calculate prob of picking 3 n when three letters picked without replacement from zzzznnnnnz.\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (g**13/g)**(1/34)*(g/(g**(1/7)/g*g))/(g/g**(-1/8)) assuming g is positive.\n' | b'g**(81/952)\n' | b'Simplify (g**13/g)**(1/34)*(g/(g**(1/7)/g*g))/(g/g**(-1/8)) assuming g is positive.\n' | b'g**(81/952)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from anxaausaxnppaxasx. What is prob of sequence xx?\n' | b'3/68\n' | b'Two letters picked without replacement from anxaausaxnppaxasx. What is prob of sequence xx?\n' | b'3/68\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 2, c: 13, y: 3}. Give prob of sequence yc.\n' | b'13/102\n' | b'Two letters picked without replacement from {d: 2, c: 13, y: 3}. Give prob of sequence yc.\n' | b'13/102\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {q: 1, m: 4, b: 4, g: 1}. Give prob of picking 1 m and 3 b.\n' | b'8/105\n' | b'Four letters picked without replacement from {q: 1, m: 4, b: 4, g: 1}. Give prob of picking 1 m and 3 b.\n' | b'8/105\n' | deepmind/math_dataset |
b'Let n(v) = 563 - 15*v + 0*v - 562 - 2*v. Determine n(-1).\n' | b'18\n' | b'Let n(v) = 563 - 15*v + 0*v - 562 - 2*v. Determine n(-1).\n' | b'18\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {g: 1, p: 3, z: 1, c: 2}.\n' | b'2/21\n' | b'Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {g: 1, p: 3, z: 1, c: 2}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let p be 3/(-6)*40/(-2). Let g = 15 - p. Suppose 0 = -g*j + 3*n - 2*n + 10, 5*j - 4*n - 10 = 0. Solve 0 = -5*m - 0*m - j*z + 10, -5*z + 25 = 3*m for m.\n' | b'0\n' | b'Let p be 3/(-6)*40/(-2). Let g = 15 - p. Suppose 0 = -g*j + 3*n - 2*n + 10, 5*j - 4*n - 10 = 0. Solve 0 = -5*m - 0*m - j*z + 10, -5*z + 25 = 3*m for m.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, n: 3}. Give prob of picking 3 y and 1 n.\n' | b'0\n' | b'Four letters picked without replacement from {y: 2, n: 3}. Give prob of picking 3 y and 1 n.\n' | b'0\n' | deepmind/math_dataset |
b'Let l(t) = 12*t - 13*t - 12 + 1. Calculate l(-11).\n' | b'0\n' | b'Let l(t) = 12*t - 13*t - 12 + 1. Calculate l(-11).\n' | b'0\n' | deepmind/math_dataset |
b'Let p = 5 + -3. Suppose -4*h + 4*j = 856, -4*h = -19*j + 18*j + 847. Let t = 215 + h. Solve -3*f = -3*q - 9, -p*q - t*f - 14 = -2*f for q.\n' | b'-5\n' | b'Let p = 5 + -3. Suppose -4*h + 4*j = 856, -4*h = -19*j + 18*j + 847. Let t = 215 + h. Solve -3*f = -3*q - 9, -p*q - t*f - 14 = -2*f for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let r be (-2)/(8/(-12)) - (1 - 3). Let y(b) = 23 + 11*b**2 + 5*b**3 - r*b**3 - 15*b + b**3 + 27*b. Calculate y(-10).\n' | b'3\n' | b'Let r be (-2)/(8/(-12)) - (1 - 3). Let y(b) = 23 + 11*b**2 + 5*b**3 - r*b**3 - 15*b + b**3 + 27*b. Calculate y(-10).\n' | b'3\n' | deepmind/math_dataset |
b'Let c be 2 + (1 + 28)*1. Suppose -4*g + 5 = -4*w - c, 5*w = -g - 9. Let o be 16/3 + (-2)/g. Let y(t) = 3*t - 2. What is y(o)?\n' | b'13\n' | b'Let c be 2 + (1 + 28)*1. Suppose -4*g + 5 = -4*w - c, 5*w = -g - 9. Let o be 16/3 + (-2)/g. Let y(t) = 3*t - 2. What is y(o)?\n' | b'13\n' | deepmind/math_dataset |
b'Simplify (i/(i**(2/13)/i)*i/(i/(i*i*i**(1/8)/i)))/(i*i/((i/(i/(i**16/i)))/i))**35 assuming i is positive.\n' | b'i**(43989/104)\n' | b'Simplify (i/(i**(2/13)/i)*i/(i/(i*i*i**(1/8)/i)))/(i*i/((i/(i/(i**16/i)))/i))**35 assuming i is positive.\n' | b'i**(43989/104)\n' | deepmind/math_dataset |
b'Calculate prob of sequence uuu when three letters picked without replacement from gguuuguguuugggugguug.\n' | b'2/19\n' | b'Calculate prob of sequence uuu when three letters picked without replacement from gguuuguguuugggugguug.\n' | b'2/19\n' | deepmind/math_dataset |
b'Let h = 29 + -26. Find the third derivative of -5*o**2 - o**3 - 23*o**h - o**2 + 9*o**3 wrt o.\n' | b'-90\n' | b'Let h = 29 + -26. Find the third derivative of -5*o**2 - o**3 - 23*o**h - o**2 + 9*o**3 wrt o.\n' | b'-90\n' | deepmind/math_dataset |
b'Let g(m) = m**2 + 5*m + 5. Let a be g(-5). Let b = 13 - 7. Suppose b = 3*r - 3. Solve 0 = -4*s - 3*y + 1, a*s + y + 1 = r*s for s.\n' | b'-2\n' | b'Let g(m) = m**2 + 5*m + 5. Let a be g(-5). Let b = 13 - 7. Suppose b = 3*r - 3. Solve 0 = -4*s - 3*y + 1, a*s + y + 1 = r*s for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Let r(l) = -2*l - 3. Let v be r(-3). What is the first derivative of 0*n - v*n - 2 - n wrt n?\n' | b'-4\n' | b'Let r(l) = -2*l - 3. Let v be r(-3). What is the first derivative of 0*n - v*n - 2 - n wrt n?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {u: 4, k: 2, h: 1, i: 2, m: 6}.\n' | b'8/105\n' | b'Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {u: 4, k: 2, h: 1, i: 2, m: 6}.\n' | b'8/105\n' | deepmind/math_dataset |
b'Let d(o) be the second derivative of o - 1/2*o**5 + 0 - 1/6*o**3 + 1/6*o**4 + 0*o**2. Suppose 5*r - 4 = 1. Give d(r).\n' | b'-9\n' | b'Let d(o) be the second derivative of o - 1/2*o**5 + 0 - 1/6*o**3 + 1/6*o**4 + 0*o**2. Suppose 5*r - 4 = 1. Give d(r).\n' | b'-9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwuwuw. What is prob of picking 4 w?\n' | b'1/15\n' | b'Four letters picked without replacement from wwuwuw. What is prob of picking 4 w?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 2 h when two letters picked without replacement from {h: 8, a: 6, j: 1}?\n' | b'4/15\n' | b'What is prob of picking 2 h when two letters picked without replacement from {h: 8, a: 6, j: 1}?\n' | b'4/15\n' | deepmind/math_dataset |
b'Let o(h) = 233*h**4 + 6*h - 239. Let d(k) be the second derivative of -k**6/15 - k**3/3 - k**2/2 - 54*k. Let v(p) = -3*d(p) - o(p). Differentiate v(f) wrt f.\n' | b'-908*f**3\n' | b'Let o(h) = 233*h**4 + 6*h - 239. Let d(k) be the second derivative of -k**6/15 - k**3/3 - k**2/2 - 54*k. Let v(p) = -3*d(p) - o(p). Differentiate v(f) wrt f.\n' | b'-908*f**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, w: 2, s: 2}. Give prob of picking 1 s and 1 r.\n' | b'1/5\n' | b'Two letters picked without replacement from {r: 1, w: 2, s: 2}. Give prob of picking 1 s and 1 r.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 3 c when three letters picked without replacement from {n: 2, g: 1, a: 4, e: 2, m: 1, c: 2}?\n' | b'0\n' | b'What is prob of picking 3 c when three letters picked without replacement from {n: 2, g: 1, a: 4, e: 2, m: 1, c: 2}?\n' | b'0\n' | deepmind/math_dataset |
b'Let p = 4 + -2. Let v(g) = -3*g**2 + 3*g + 3*g**2 - p - g**2 + 4*g. Let u(x) = x**3 - 6*x**2 + 5. Let m be u(6). Calculate v(m).\n' | b'8\n' | b'Let p = 4 + -2. Let v(g) = -3*g**2 + 3*g + 3*g**2 - p - g**2 + 4*g. Let u(x) = x**3 - 6*x**2 + 5. Let m be u(6). Calculate v(m).\n' | b'8\n' | deepmind/math_dataset |
b'Let p = -14 - -12. Let y = p - 0. Let j be (y*(-4)/8)/1. Solve -b + 6*b - 3*t = -j, -t + 3 = b for b.\n' | b'1\n' | b'Let p = -14 - -12. Let y = p - 0. Let j be (y*(-4)/8)/1. Solve -b + 6*b - 3*t = -j, -t + 3 = b for b.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 3 b when four letters picked without replacement from {b: 3, x: 8, a: 4, i: 2}.\n' | b'2/595\n' | b'Calculate prob of picking 1 x and 3 b when four letters picked without replacement from {b: 3, x: 8, a: 4, i: 2}.\n' | b'2/595\n' | deepmind/math_dataset |
b'Let v(t) = t**3 - 18*t**2 - 18*t - 16. Let l be v(19). Suppose 5*q - u = -4, 8*q - 2*u = 3*q - 3. Let h = q + 1. Solve 4*n + 3 + 16 = l*m, h = m - 1 for n.\n' | b'-4\n' | b'Let v(t) = t**3 - 18*t**2 - 18*t - 16. Let l be v(19). Suppose 5*q - u = -4, 8*q - 2*u = 3*q - 3. Let h = q + 1. Solve 4*n + 3 + 16 = l*m, h = m - 1 for n.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uummttttb. What is prob of picking 2 u?\n' | b'1/36\n' | b'Two letters picked without replacement from uummttttb. What is prob of picking 2 u?\n' | b'1/36\n' | deepmind/math_dataset |
b'Simplify ((k**(1/4)/k)**(-6))**(1/6)*k*k/(k*k**(2/25))*k*k/((k/k**(-2/9))/k*k*k)*k*k/k**3*k/(k**(3/7)*k) assuming k is positive.\n' | b'k**(121/6300)\n' | b'Simplify ((k**(1/4)/k)**(-6))**(1/6)*k*k/(k*k**(2/25))*k*k/((k/k**(-2/9))/k*k*k)*k*k/k**3*k/(k**(3/7)*k) assuming k is positive.\n' | b'k**(121/6300)\n' | deepmind/math_dataset |
b'Suppose 0 = 4*w - 2*w - 14. What is the second derivative of -3*j - w*j**2 + 5*j**2 - 2*j**2 - 2*j wrt j?\n' | b'-8\n' | b'Suppose 0 = 4*w - 2*w - 14. What is the second derivative of -3*j - w*j**2 + 5*j**2 - 2*j**2 - 2*j wrt j?\n' | b'-8\n' | deepmind/math_dataset |
b'Let y(f) be the second derivative of -31*f**4/12 + 13*f**3/3 - 2*f - 14. Find the second derivative of y(n) wrt n.\n' | b'-62\n' | b'Let y(f) be the second derivative of -31*f**4/12 + 13*f**3/3 - 2*f - 14. Find the second derivative of y(n) wrt n.\n' | b'-62\n' | deepmind/math_dataset |
b'Calculate prob of sequence auiu when four letters picked without replacement from {z: 5, u: 3, i: 1, a: 1}.\n' | b'1/840\n' | b'Calculate prob of sequence auiu when four letters picked without replacement from {z: 5, u: 3, i: 1, a: 1}.\n' | b'1/840\n' | deepmind/math_dataset |
b'Let x be (0 + (-24)/(-3))*(-315)/(-126). Let n(i) = i - 13. Determine n(x).\n' | b'7\n' | b'Let x be (0 + (-24)/(-3))*(-315)/(-126). Let n(i) = i - 13. Determine n(x).\n' | b'7\n' | deepmind/math_dataset |
b'Let m(j) be the third derivative of 23*j**5/60 + j**4/24 + 11*j**3/6 - 152*j**2. Find the second derivative of m(k) wrt k.\n' | b'46\n' | b'Let m(j) be the third derivative of 23*j**5/60 + j**4/24 + 11*j**3/6 - 152*j**2. Find the second derivative of m(k) wrt k.\n' | b'46\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kaaarujjaa. Give prob of picking 2 a and 1 u.\n' | b'1/12\n' | b'Three letters picked without replacement from kaaarujjaa. Give prob of picking 2 a and 1 u.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let c = 4 + -2. Let k be (-1 - 1)*(-2)/c. Solve -2*f + 1 + k = -3*m, 0 = f + 2*m + 9 for f.\n' | b'-3\n' | b'Let c = 4 + -2. Let k be (-1 - 1)*(-2)/c. Solve -2*f + 1 + k = -3*m, 0 = f + 2*m + 9 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((b*b/b**(6/23))/((b**(-5/11)*b*b)/b*b)*(b/(b*b**(-1/15)/b))/b**(-2/55))**4 assuming b is positive.\n' | b'b**(19684/3795)\n' | b'Simplify ((b*b/b**(6/23))/((b**(-5/11)*b*b)/b*b)*(b/(b*b**(-1/15)/b))/b**(-2/55))**4 assuming b is positive.\n' | b'b**(19684/3795)\n' | deepmind/math_dataset |
b'Let a be (1/2)/(10/100). Suppose -5*b - a = 4*z, 2*z - 2*b - 20 = -0*z. Find the third derivative of -9*r**5 + z*r**2 + 3*r**5 - 12*r**2 wrt r.\n' | b'-360*r**2\n' | b'Let a be (1/2)/(10/100). Suppose -5*b - a = 4*z, 2*z - 2*b - 20 = -0*z. Find the third derivative of -9*r**5 + z*r**2 + 3*r**5 - 12*r**2 wrt r.\n' | b'-360*r**2\n' | deepmind/math_dataset |
b'Let a(d) = -d**2 + 16*d + 4. Suppose -7 - 73 = -5*t. Let p be a(t). Solve -3*l + 0*j + 12 = p*j, 4*l - 2*j - 16 = 0 for l.\n' | b'4\n' | b'Let a(d) = -d**2 + 16*d + 4. Suppose -7 - 73 = -5*t. Let p be a(t). Solve -3*l + 0*j + 12 = p*j, 4*l - 2*j - 16 = 0 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (((c/(c/(c*c*c**9)))/(c**(-2/33)*c))**(-1/3))**(-32) assuming c is positive.\n' | b'c**(10624/99)\n' | b'Simplify (((c/(c/(c*c*c**9)))/(c**(-2/33)*c))**(-1/3))**(-32) assuming c is positive.\n' | b'c**(10624/99)\n' | deepmind/math_dataset |
b'Simplify (t**(-2/13)*t)**(-1/15)/(t/t**(-9/5)*t*t**(1/7)/t) assuming t is positive.\n' | b't**(-4094/1365)\n' | b'Simplify (t**(-2/13)*t)**(-1/15)/(t/t**(-9/5)*t*t**(1/7)/t) assuming t is positive.\n' | b't**(-4094/1365)\n' | deepmind/math_dataset |
b'Simplify (((q/((q*q*q**(-3)*q)/q)*q)**36/(q**11/q**(-1)))**(11/7))**(-3/4) assuming q is positive.\n' | b'q**(-792/7)\n' | b'Simplify (((q/((q*q*q**(-3)*q)/q)*q)**36/(q**11/q**(-1)))**(11/7))**(-3/4) assuming q is positive.\n' | b'q**(-792/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 3, i: 3}. What is prob of sequence mi?\n' | b'3/10\n' | b'Two letters picked without replacement from {m: 3, i: 3}. What is prob of sequence mi?\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of sequence yi when two letters picked without replacement from biyccycbdy?\n' | b'1/30\n' | b'What is prob of sequence yi when two letters picked without replacement from biyccycbdy?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let m(f) = 31*f - 71. Let w(u) = -10*u + 27. Let x(s) = -6*m(s) - 17*w(s). What is x(-2)?\n' | b'-1\n' | b'Let m(f) = 31*f - 71. Let w(u) = -10*u + 27. Let x(s) = -6*m(s) - 17*w(s). What is x(-2)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let n(i) = -15*i**4 - 11*i**3 + 5*i**2 + 37. Let g(k) = -14*k**4 - 10*k**3 + 4*k**2 + 38. Let v(x) = 5*g(x) - 4*n(x). Differentiate v(f) wrt f.\n' | b'-40*f**3 - 18*f**2\n' | b'Let n(i) = -15*i**4 - 11*i**3 + 5*i**2 + 37. Let g(k) = -14*k**4 - 10*k**3 + 4*k**2 + 38. Let v(x) = 5*g(x) - 4*n(x). Differentiate v(f) wrt f.\n' | b'-40*f**3 - 18*f**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaxdhaak. What is prob of picking 1 h and 1 x?\n' | b'1/28\n' | b'Two letters picked without replacement from aaxdhaak. What is prob of picking 1 h and 1 x?\n' | b'1/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 6, c: 1, r: 3, m: 3, u: 5}. What is prob of sequence rcw?\n' | b'1/272\n' | b'Three letters picked without replacement from {w: 6, c: 1, r: 3, m: 3, u: 5}. What is prob of sequence rcw?\n' | b'1/272\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qhphwqhwqhqchvhvhv. What is prob of sequence wwvv?\n' | b'1/6120\n' | b'Four letters picked without replacement from qhphwqhwqhqchvhvhv. What is prob of sequence wwvv?\n' | b'1/6120\n' | deepmind/math_dataset |
b'Simplify (l**(-1)*l**(-4)*l/l**(-1/3)*l**(-6))/((l*l*l**(2/7))**(5/7)/(l/l**(-1/8)*(l**(-2/7)*l)/l)) assuming l is positive.\n' | b'l**(-12301/1176)\n' | b'Simplify (l**(-1)*l**(-4)*l/l**(-1/3)*l**(-6))/((l*l*l**(2/7))**(5/7)/(l/l**(-1/8)*(l**(-2/7)*l)/l)) assuming l is positive.\n' | b'l**(-12301/1176)\n' | deepmind/math_dataset |
b'Suppose -33 = -z - d, 3*z + d = z + 66. Let w = 36 - z. Suppose o = -w*u + 4, -2 = -2*u - o + 2. Solve 5*b = -4*i - 18, -2*i + u*b + 2 = -3*b for i.\n' | b'-2\n' | b'Suppose -33 = -z - d, 3*z + d = z + 66. Let w = 36 - z. Suppose o = -w*u + 4, -2 = -2*u - o + 2. Solve 5*b = -4*i - 18, -2*i + u*b + 2 = -3*b for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((t**(-7)*t)/t)/(t*(((t/t**(-2/13))/t)/t)/t) assuming t is positive.\n' | b't**(-80/13)\n' | b'Simplify ((t**(-7)*t)/t)/(t*(((t/t**(-2/13))/t)/t)/t) assuming t is positive.\n' | b't**(-80/13)\n' | deepmind/math_dataset |
b'What is prob of sequence wh when two letters picked without replacement from wwwwwwwhwwwhwhhwhww?\n' | b'35/171\n' | b'What is prob of sequence wh when two letters picked without replacement from wwwwwwwhwwwhwhhwhww?\n' | b'35/171\n' | deepmind/math_dataset |
b'Simplify (g**(-2/11))**(-22/3)*g**2*g*g**(-10/7) assuming g is positive.\n' | b'g**(61/21)\n' | b'Simplify (g**(-2/11))**(-22/3)*g**2*g*g**(-10/7) assuming g is positive.\n' | b'g**(61/21)\n' | deepmind/math_dataset |
b'Let x = 20 - 23. Let t be 13/(-2) - x/6. Let o(m) = -m - 4. Let p be o(t). Solve p*i = -0*i + v - 13, i - 5*v = -29 for i.\n' | b'-4\n' | b'Let x = 20 - 23. Let t be 13/(-2) - x/6. Let o(m) = -m - 4. Let p be o(t). Solve p*i = -0*i + v - 13, i - 5*v = -29 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaaaahajasaoaaaoaasa. What is prob of picking 1 j and 2 o?\n' | b'1/1140\n' | b'Three letters picked without replacement from aaaaahajasaoaaaoaasa. What is prob of picking 1 j and 2 o?\n' | b'1/1140\n' | deepmind/math_dataset |
b'Let h(t) be the third derivative of t**5/20 + 3*t**4/2 - 28*t**2. Find the second derivative of h(c) wrt c.\n' | b'6\n' | b'Let h(t) be the third derivative of t**5/20 + 3*t**4/2 - 28*t**2. Find the second derivative of h(c) wrt c.\n' | b'6\n' | deepmind/math_dataset |
b'Let i = 99 - 124. Let n = i + 27. Solve n = -4*s + 5*y + 6, -5*s + 2*y = -5 for s.\n' | b'1\n' | b'Let i = 99 - 124. Let n = i + 27. Solve n = -4*s + 5*y + 6, -5*s + 2*y = -5 for s.\n' | b'1\n' | deepmind/math_dataset |
b'Let o be (-6)/(-10) - 84/15. Let l be (3/o)/(3/(-15)). What is the second derivative of 3*z**2 - 2*z**5 - l*z**2 - z wrt z?\n' | b'-40*z**3\n' | b'Let o be (-6)/(-10) - 84/15. Let l be (3/o)/(3/(-15)). What is the second derivative of 3*z**2 - 2*z**5 - l*z**2 - z wrt z?\n' | b'-40*z**3\n' | deepmind/math_dataset |
b'Suppose 0 = p - 6*r + 3*r - 1, 3*p + 4*r - 16 = 0. Let w be (2/(-8))/((-1)/p). Solve 3*x + k + 11 = 0, -4*x - 5 = -3*k + w for x.\n' | b'-3\n' | b'Suppose 0 = p - 6*r + 3*r - 1, 3*p + 4*r - 16 = 0. Let w be (2/(-8))/((-1)/p). Solve 3*x + k + 11 = 0, -4*x - 5 = -3*k + w for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((i/(i**2/i))/((i*i*i**(-10))/i))/(i**10*i*i/i**11) assuming i is positive.\n' | b'i**8\n' | b'Simplify ((i/(i**2/i))/((i*i*i**(-10))/i))/(i**10*i*i/i**11) assuming i is positive.\n' | b'i**8\n' | deepmind/math_dataset |
b'Suppose -n - 2*r - 1 - 5 = 0, 5*n - 2*r - 6 = 0. Suppose k = -n*k. Suppose k = -0*v - v. Solve 30 = 2*q - v*q - 5*g, 21 = q - 4*g for q.\n' | b'5\n' | b'Suppose -n - 2*r - 1 - 5 = 0, 5*n - 2*r - 6 = 0. Suppose k = -n*k. Suppose k = -0*v - v. Solve 30 = 2*q - v*q - 5*g, 21 = q - 4*g for q.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 3, c: 3, b: 12}. What is prob of sequence cr?\n' | b'1/34\n' | b'Two letters picked without replacement from {r: 3, c: 3, b: 12}. What is prob of sequence cr?\n' | b'1/34\n' | deepmind/math_dataset |
b'Let y be 0 - 2 - (-275)/11. Let w = -18 + y. Solve 0 = -3*l - 4*s - 17, 0*l = w*l + 4*s + 15 for l.\n' | b'1\n' | b'Let y be 0 - 2 - (-275)/11. Let w = -18 + y. Solve 0 = -3*l - 4*s - 17, 0*l = w*l + 4*s + 15 for l.\n' | b'1\n' | deepmind/math_dataset |
b'Let p(c) = c**2 - 3*c + 54. Let n be (-1*(0 + 0))/(4*11/(-44)). Calculate p(n).\n' | b'54\n' | b'Let p(c) = c**2 - 3*c + 54. Let n be (-1*(0 + 0))/(4*11/(-44)). Calculate p(n).\n' | b'54\n' | deepmind/math_dataset |
b'Let t(n) be the second derivative of 19*n**5/4 + n**4/12 + n**3/6 - n**2/2 - 1990*n. Determine t(-1).\n' | b'-96\n' | b'Let t(n) be the second derivative of 19*n**5/4 + n**4/12 + n**3/6 - n**2/2 - 1990*n. Determine t(-1).\n' | b'-96\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ggkgekvhkvv. What is prob of sequence ek?\n' | b'3/110\n' | b'Two letters picked without replacement from ggkgekvhkvv. What is prob of sequence ek?\n' | b'3/110\n' | deepmind/math_dataset |
b'Let u(w) = -7*w - 41. Suppose -408 = 13*a - 252. Calculate u(a).\n' | b'43\n' | b'Let u(w) = -7*w - 41. Suppose -408 = 13*a - 252. Calculate u(a).\n' | b'43\n' | deepmind/math_dataset |
b'Let w be ((-4)/((-8)/1))/(7/28). Solve 2*b + w*v = 12, -6 = 3*b - b - 4*v for b.\n' | b'3\n' | b'Let w be ((-4)/((-8)/1))/(7/28). Solve 2*b + w*v = 12, -6 = 3*b - b - 4*v for b.\n' | b'3\n' | deepmind/math_dataset |
b'Let q be (-14)/(-63) - (-32)/18. Find the third derivative of -b**2 - b**2 + b**3 + 3*b**q wrt b.\n' | b'6\n' | b'Let q be (-14)/(-63) - (-32)/18. Find the third derivative of -b**2 - b**2 + b**3 + 3*b**q wrt b.\n' | b'6\n' | deepmind/math_dataset |
b'Let g = -18 - -15. Let p(t) = 5*t + 5. Let u(z) = 16*z + 16. Let q(f) = 20*p(f) - 6*u(f). Calculate q(g).\n' | b'-8\n' | b'Let g = -18 - -15. Let p(t) = 5*t + 5. Let u(z) = 16*z + 16. Let q(f) = 20*p(f) - 6*u(f). Calculate q(g).\n' | b'-8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, m: 1, t: 1, x: 3, i: 1, c: 5}. Give prob of sequence cti.\n' | b'1/264\n' | b'Three letters picked without replacement from {h: 1, m: 1, t: 1, x: 3, i: 1, c: 5}. Give prob of sequence cti.\n' | b'1/264\n' | deepmind/math_dataset |
b'Suppose -30*f + 85 = 55*f. Let p(t) = 13*t**2 - 5*t - 1. Determine p(f).\n' | b'7\n' | b'Suppose -30*f + 85 = 55*f. Let p(t) = 13*t**2 - 5*t - 1. Determine p(f).\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 4, k: 1, m: 1, j: 4, u: 5, z: 3}. Give prob of sequence jkmm.\n' | b'0\n' | b'Four letters picked without replacement from {x: 4, k: 1, m: 1, j: 4, u: 5, z: 3}. Give prob of sequence jkmm.\n' | b'0\n' | deepmind/math_dataset |
b'Let n(u) = -11*u**2 - 2*u - 13. Let i(v) = -208*v**2 - 39*v - 247. Let b(j) = -2*i(j) + 39*n(j). Differentiate b(z) wrt z.\n' | b'-26*z\n' | b'Let n(u) = -11*u**2 - 2*u - 13. Let i(v) = -208*v**2 - 39*v - 247. Let b(j) = -2*i(j) + 39*n(j). Differentiate b(z) wrt z.\n' | b'-26*z\n' | deepmind/math_dataset |
b'Let u = -1 + -1. Let c = -2 - u. Suppose 0*z + 4*z - 20 = 0. Solve c*k - k - 3*q + 3 = 0, 0 = -3*k + z*q - 5 for k.\n' | b'0\n' | b'Let u = -1 + -1. Let c = -2 - u. Suppose 0*z + 4*z - 20 = 0. Solve c*k - k - 3*q + 3 = 0, 0 = -3*k + z*q - 5 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Let f(b) be the second derivative of 17*b**3 - 43*b**2 + b + 84. Differentiate f(z) wrt z.\n' | b'102\n' | b'Let f(b) be the second derivative of 17*b**3 - 43*b**2 + b + 84. Differentiate f(z) wrt z.\n' | b'102\n' | deepmind/math_dataset |
b'Simplify ((h**(2/29)/h**(-1/19))/((h*h**(-10))/(h**(-16)/h)))**(-2/15) assuming h is positive.\n' | b'h**(2894/2755)\n' | b'Simplify ((h**(2/29)/h**(-1/19))/((h*h**(-10))/(h**(-16)/h)))**(-2/15) assuming h is positive.\n' | b'h**(2894/2755)\n' | deepmind/math_dataset |
b'Suppose 12*x = 19*x - 77. What is the third derivative of -24*y**6 + y**2 - x*y**6 + 33*y**2 wrt y?\n' | b'-4200*y**3\n' | b'Suppose 12*x = 19*x - 77. What is the third derivative of -24*y**6 + y**2 - x*y**6 + 33*y**2 wrt y?\n' | b'-4200*y**3\n' | deepmind/math_dataset |
b'What is prob of sequence pny when three letters picked without replacement from iinpininyni?\n' | b'2/495\n' | b'What is prob of sequence pny when three letters picked without replacement from iinpininyni?\n' | b'2/495\n' | deepmind/math_dataset |
b'Let f(a) = 6*a - 1. Let h be f(1). Let o be 8*((-9)/(-3))/12. Suppose 2*c - o = 4*t, 2 = h*c - t - 12. Solve -2*m + w + 0 = 7, -c*m = -4*w + 18 for m.\n' | b'-2\n' | b'Let f(a) = 6*a - 1. Let h be f(1). Let o be 8*((-9)/(-3))/12. Suppose 2*c - o = 4*t, 2 = h*c - t - 12. Solve -2*m + w + 0 = 7, -c*m = -4*w + 18 for m.\n' | b'-2\n' | deepmind/math_dataset |
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