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 p(k) be the first derivative of -17*k**6/2 - 96*k**3 + 1414. What is the third derivative of p(s) wrt s?\n' | b'-3060*s**2\n' | b'Let p(k) be the first derivative of -17*k**6/2 - 96*k**3 + 1414. What is the third derivative of p(s) wrt s?\n' | b'-3060*s**2\n' | deepmind/math_dataset |
b'Suppose 0 = g + 3*g + 120. Let x be (0 + 1)*g/5. Let u be (3/2)/(x/(-4)). Solve -3*f + 6*r - 2*r = -27, 3*r = -2*f + u for f.\n' | b'5\n' | b'Suppose 0 = g + 3*g + 120. Let x be (0 + 1)*g/5. Let u be (3/2)/(x/(-4)). Solve -3*f + 6*r - 2*r = -27, 3*r = -2*f + u for f.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j and 2 i when four letters picked without replacement from {x: 11, j: 2, i: 6}.\n' | b'5/1292\n' | b'Calculate prob of picking 2 j and 2 i when four letters picked without replacement from {x: 11, j: 2, i: 6}.\n' | b'5/1292\n' | deepmind/math_dataset |
b'Let j(s) = 4*s**2 + 5*s + 2. Let h(y) = -5*y**2 - 6*y - 1. Let g(f) = -5*h(f) - 6*j(f). Find the first derivative of g(r) wrt r.\n' | b'2*r\n' | b'Let j(s) = 4*s**2 + 5*s + 2. Let h(y) = -5*y**2 - 6*y - 1. Let g(f) = -5*h(f) - 6*j(f). Find the first derivative of g(r) wrt r.\n' | b'2*r\n' | deepmind/math_dataset |
b'What is prob of sequence rpe when three letters picked without replacement from {e: 5, r: 5, v: 5, p: 3, t: 1}?\n' | b'25/1938\n' | b'What is prob of sequence rpe when three letters picked without replacement from {e: 5, r: 5, v: 5, p: 3, t: 1}?\n' | b'25/1938\n' | deepmind/math_dataset |
b'Let u(z) = -z**2 + 8*z + 2. Let c be u(4). Suppose 2*o + c = -2*a, o + 35 = -2*o + 5*a. Let r = -6 - o. Solve -n + 4*n = -2*p - 14, r*n - 12 = 5*p for n.\n' | b'-2\n' | b'Let u(z) = -z**2 + 8*z + 2. Let c be u(4). Suppose 2*o + c = -2*a, o + 35 = -2*o + 5*a. Let r = -6 - o. Solve -n + 4*n = -2*p - 14, r*n - 12 = 5*p for n.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify s/(s*s**12*s)*s**(-8)*(((s*s*s**11*s)/s)/s)/(s*s**(-5/8)) assuming s is positive.\n' | b's**(-75/8)\n' | b'Simplify s/(s*s**12*s)*s**(-8)*(((s*s*s**11*s)/s)/s)/(s*s**(-5/8)) assuming s is positive.\n' | b's**(-75/8)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddfl when four letters picked without replacement from ldfd.\n' | b'1/12\n' | b'Calculate prob of sequence ddfl when four letters picked without replacement from ldfd.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let i(s) be the first derivative of -17*s**3 + 2*s**2 - 1020*s + 982. Find the first derivative of i(y) wrt y.\n' | b'-102*y + 4\n' | b'Let i(s) be the first derivative of -17*s**3 + 2*s**2 - 1020*s + 982. Find the first derivative of i(y) wrt y.\n' | b'-102*y + 4\n' | deepmind/math_dataset |
b'Simplify (x*(x*x**(-2/5))/x)**(-27)/(x**(3/5)/((x**(6/11)/x)/x))*(x/(x/(x*x*x**(-1))))**(-3/11)/(x**1/x*x)**(-2/35) assuming x is positive.\n' | b'x**(-7111/385)\n' | b'Simplify (x*(x*x**(-2/5))/x)**(-27)/(x**(3/5)/((x**(6/11)/x)/x))*(x/(x/(x*x*x**(-1))))**(-3/11)/(x**1/x*x)**(-2/35) assuming x is positive.\n' | b'x**(-7111/385)\n' | deepmind/math_dataset |
b'Let t = 21 - 21. Suppose -2*g + 2*q + 17 = 1, q - 5 = t. Let s = -10 + g. Solve 0 = -s*y + x - 5*x - 3, 4*x - 32 = 4*y for y.\n' | b'-5\n' | b'Let t = 21 - 21. Suppose -2*g + 2*q + 17 = 1, q - 5 = t. Let s = -10 + g. Solve 0 = -s*y + x - 5*x - 3, 4*x - 32 = 4*y for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -238*o + 40 = -233*o. Let p(t) = t**3 - 7*t**2 - 11*t - 4. Calculate p(o).\n' | b'-28\n' | b'Suppose -238*o + 40 = -233*o. Let p(t) = t**3 - 7*t**2 - 11*t - 4. Calculate p(o).\n' | b'-28\n' | deepmind/math_dataset |
b'What is prob of picking 1 h and 1 w when two letters picked without replacement from wcnkvckh?\n' | b'1/28\n' | b'What is prob of picking 1 h and 1 w when two letters picked without replacement from wcnkvckh?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (n/n**0*n*n*n**(-14)*n*n)**(-1/60) assuming n is positive.\n' | b'n**(3/20)\n' | b'Simplify (n/n**0*n*n*n**(-14)*n*n)**(-1/60) assuming n is positive.\n' | b'n**(3/20)\n' | deepmind/math_dataset |
b'Let g(q) = q**2 - 8*q - 11. Suppose 14*p - 9*p + 3*h = 54, 4*h + 15 = 3*p. Calculate g(p).\n' | b'-2\n' | b'Let g(q) = q**2 - 8*q - 11. Suppose 14*p - 9*p + 3*h = 54, 4*h + 15 = 3*p. Calculate g(p).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -5*l = -5*k + 20, 21 = 5*k + 4*l - 8. Suppose 3*o + 12*t - 15 = 11*t, -5 = -o + k*t. Let h(s) = -s**2 + 7*s - 4. Give h(o).\n' | b'6\n' | b'Suppose -5*l = -5*k + 20, 21 = 5*k + 4*l - 8. Suppose 3*o + 12*t - 15 = 11*t, -5 = -o + k*t. Let h(s) = -s**2 + 7*s - 4. Give h(o).\n' | b'6\n' | deepmind/math_dataset |
b'Suppose -9*t = -13*t + 12. Suppose 4*k - 29 = -l - 10, 0 = t*l - 3*k + 3. Solve 2*i - 4*x + 6 = 0, -l*x = -0*i - 3*i for i.\n' | b'3\n' | b'Suppose -9*t = -13*t + 12. Suppose 4*k - 29 = -l - 10, 0 = t*l - 3*k + 3. Solve 2*i - 4*x + 6 = 0, -l*x = -0*i - 3*i for i.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dbdbddbddddd. What is prob of picking 2 b?\n' | b'1/22\n' | b'Two letters picked without replacement from dbdbddbddddd. What is prob of picking 2 b?\n' | b'1/22\n' | deepmind/math_dataset |
b'What is prob of sequence ei when two letters picked without replacement from eeiiie?\n' | b'3/10\n' | b'What is prob of sequence ei when two letters picked without replacement from eeiiie?\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of picking 2 e and 1 j when three letters picked without replacement from {g: 8, e: 7, j: 3}?\n' | b'21/272\n' | b'What is prob of picking 2 e and 1 j when three letters picked without replacement from {g: 8, e: 7, j: 3}?\n' | b'21/272\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from {v: 12, x: 2, y: 5}.\n' | b'1/171\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from {v: 12, x: 2, y: 5}.\n' | b'1/171\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cieqcem. What is prob of picking 2 e and 1 c?\n' | b'2/35\n' | b'Three letters picked without replacement from cieqcem. What is prob of picking 2 e and 1 c?\n' | b'2/35\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 3, b: 7}. What is prob of picking 1 f and 3 b?\n' | b'1/2\n' | b'Four letters picked without replacement from {f: 3, b: 7}. What is prob of picking 1 f and 3 b?\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify (j*(j**(-1/11)/j*j)/j)/j**(-13)*(j**(-2/7)/j)**(-2/25) assuming j is positive.\n' | b'j**(25048/1925)\n' | b'Simplify (j*(j**(-1/11)/j*j)/j)/j**(-13)*(j**(-2/7)/j)**(-2/25) assuming j is positive.\n' | b'j**(25048/1925)\n' | deepmind/math_dataset |
b'Simplify (((u/(u/(((((u*u*u/(u*u*u**(2/11)))/u)/u)/u)/u)))/u)/u**18)**(-4/41) assuming u is positive.\n' | b'u**(976/451)\n' | b'Simplify (((u/(u/(((((u*u*u/(u*u*u**(2/11)))/u)/u)/u)/u)))/u)/u**18)**(-4/41) assuming u is positive.\n' | b'u**(976/451)\n' | deepmind/math_dataset |
b'Simplify ((n/(n**(-1/4)*n)*n)**(23/2))**(-37/4) assuming n is positive.\n' | b'n**(-4255/32)\n' | b'Simplify ((n/(n**(-1/4)*n)*n)**(23/2))**(-37/4) assuming n is positive.\n' | b'n**(-4255/32)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 6, a: 2, b: 4}. Give prob of picking 2 a.\n' | b'1/66\n' | b'Two letters picked without replacement from {n: 6, a: 2, b: 4}. Give prob of picking 2 a.\n' | b'1/66\n' | deepmind/math_dataset |
b'Two letters picked without replacement from innntnniniiittiiin. What is prob of picking 2 i?\n' | b'28/153\n' | b'Two letters picked without replacement from innntnniniiittiiin. What is prob of picking 2 i?\n' | b'28/153\n' | deepmind/math_dataset |
b'Suppose 5*p - 2*s - 5 = 0, 0*s = 2*s - 10. Let k be 10/6 - (-1)/p. What is the third derivative of -k*z**6 + 0 + 0 - z**2 wrt z?\n' | b'-240*z**3\n' | b'Suppose 5*p - 2*s - 5 = 0, 0*s = 2*s - 10. Let k be 10/6 - (-1)/p. What is the third derivative of -k*z**6 + 0 + 0 - z**2 wrt z?\n' | b'-240*z**3\n' | deepmind/math_dataset |
b'Let j be 9*3*4/54. Let f(t) be the second derivative of 0*t**5 + 0*t**3 + 0*t**j - 8*t + 0 + 17/30*t**6 + 3/2*t**4. Find the third derivative of f(c) wrt c.\n' | b'408*c\n' | b'Let j be 9*3*4/54. Let f(t) be the second derivative of 0*t**5 + 0*t**3 + 0*t**j - 8*t + 0 + 17/30*t**6 + 3/2*t**4. Find the third derivative of f(c) wrt c.\n' | b'408*c\n' | deepmind/math_dataset |
b'Calculate prob of sequence xra when three letters picked without replacement from {r: 2, m: 1, v: 2, x: 1, a: 1}.\n' | b'1/105\n' | b'Calculate prob of sequence xra when three letters picked without replacement from {r: 2, m: 1, v: 2, x: 1, a: 1}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Let x be (2 - (-36)/(-27) - (-10)/15)*21. Solve 2*v - x*d + 32*d - 30 = 0, -5*d + 36 = v for v.\n' | b'1\n' | b'Let x be (2 - (-36)/(-27) - (-10)/15)*21. Solve 2*v - x*d + 32*d - 30 = 0, -5*d + 36 = v for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let d be (4/(-16))/(2 + (-891)/444). Differentiate 9 - 65*n - 20*n**3 + 65*n - n**4 - d wrt n.\n' | b'-4*n**3 - 60*n**2\n' | b'Let d be (4/(-16))/(2 + (-891)/444). Differentiate 9 - 65*n - 20*n**3 + 65*n - n**4 - d wrt n.\n' | b'-4*n**3 - 60*n**2\n' | deepmind/math_dataset |
b'Let a be 2/2*-1 - -1. Suppose -4*t + 3*g - 23 = 0, 20 = -3*t + 5*g - a*g. Let k(f) = -f**2 - 6*f - 4. What is k(t)?\n' | b'1\n' | b'Let a be 2/2*-1 - -1. Suppose -4*t + 3*g - 23 = 0, 20 = -3*t + 5*g - a*g. Let k(f) = -f**2 - 6*f - 4. What is k(t)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose n = 11 + 15. Let s = n - 19. Suppose 0 = -6*f + s*f - 2. Solve -t + 4*a - 24 + 7 = 0, 2*t - 16 = -f*a for t.\n' | b'3\n' | b'Suppose n = 11 + 15. Let s = n - 19. Suppose 0 = -6*f + s*f - 2. Solve -t + 4*a - 24 + 7 = 0, 2*t - 16 = -f*a for t.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 d when two letters picked without replacement from ffcccdcffdzfffczccc?\n' | b'1/171\n' | b'What is prob of picking 2 d when two letters picked without replacement from ffcccdcffdzfffczccc?\n' | b'1/171\n' | deepmind/math_dataset |
b'What is prob of picking 3 p when three letters picked without replacement from ppppepppppppppeppppp?\n' | b'68/95\n' | b'What is prob of picking 3 p when three letters picked without replacement from ppppepppppppppeppppp?\n' | b'68/95\n' | deepmind/math_dataset |
b'Simplify (n**(-17/3)/n)/(n*n**(4/7))*n**(-24)*n**26 assuming n is positive.\n' | b'n**(-131/21)\n' | b'Simplify (n**(-17/3)/n)/(n*n**(4/7))*n**(-24)*n**26 assuming n is positive.\n' | b'n**(-131/21)\n' | deepmind/math_dataset |
b'Let w be (-16)/3*(-9)/6. Let b be (112/(-24))/(-2)*(-270)/(-315). Solve f = -2*v - 3, 2*f + 5*v + b = -w for f.\n' | b'5\n' | b'Let w be (-16)/3*(-9)/6. Let b be (112/(-24))/(-2)*(-270)/(-315). Solve f = -2*v - 3, 2*f + 5*v + b = -w for f.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qkqqqqqqkqqq. Give prob of picking 1 q and 1 k.\n' | b'10/33\n' | b'Two letters picked without replacement from qkqqqqqqkqqq. Give prob of picking 1 q and 1 k.\n' | b'10/33\n' | deepmind/math_dataset |
b'Simplify (f*f**1*f)/f**7 assuming f is positive.\n' | b'f**(-4)\n' | b'Simplify (f*f**1*f)/f**7 assuming f is positive.\n' | b'f**(-4)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k when two letters picked without replacement from kskk.\n' | b'1/2\n' | b'Calculate prob of picking 2 k when two letters picked without replacement from kskk.\n' | b'1/2\n' | deepmind/math_dataset |
b'Suppose -2*s - 28 + 0 = -2*n, 5*n - 2*s = 73. Suppose 2*h = -0*h - 3*a + n, -3*a = -3*h. Solve 3*m = -h*u - 15, 3*m + 2*u + 15 = -0*u for m.\n' | b'-5\n' | b'Suppose -2*s - 28 + 0 = -2*n, 5*n - 2*s = 73. Suppose 2*h = -0*h - 3*a + n, -3*a = -3*h. Solve 3*m = -h*u - 15, 3*m + 2*u + 15 = -0*u for m.\n' | b'-5\n' | deepmind/math_dataset |
b'Let v(z) = 3*z**2 + z - 1. Let p be (9 - 6) + 180/(-2). Let l = 85 + p. Let u be 12/(-3) + (l - 14/(-2)). What is v(u)?\n' | b'3\n' | b'Let v(z) = 3*z**2 + z - 1. Let p be (9 - 6) + 180/(-2). Let l = 85 + p. Let u be 12/(-3) + (l - 14/(-2)). What is v(u)?\n' | b'3\n' | deepmind/math_dataset |
b'Suppose x - 5*b - 7 = 0, -16*b + 19*b + 15 = 6*x. Solve 12*r - 14*r + 3*g - 4 = 0, 0 = g - x for r.\n' | b'1\n' | b'Suppose x - 5*b - 7 = 0, -16*b + 19*b + 15 = 6*x. Solve 12*r - 14*r + 3*g - 4 = 0, 0 = g - x for r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (l*l**(-6)/l*l)**(-1/5) assuming l is positive.\n' | b'l\n' | b'Simplify (l*l**(-6)/l*l)**(-1/5) assuming l is positive.\n' | b'l\n' | deepmind/math_dataset |
b'Let u(n) = 2*n**3 + n**2 - 3*n + 11. Let z(p) = -p**3 + p - 1. Let a(s) = u(s) + 3*z(s). Give a(0).\n' | b'8\n' | b'Let u(n) = 2*n**3 + n**2 - 3*n + 11. Let z(p) = -p**3 + p - 1. Let a(s) = u(s) + 3*z(s). Give a(0).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 s, 1 t, and 1 z when four letters picked without replacement from {o: 2, t: 2, s: 2, l: 1, z: 1}.\n' | b'1/35\n' | b'Calculate prob of picking 2 s, 1 t, and 1 z when four letters picked without replacement from {o: 2, t: 2, s: 2, l: 1, z: 1}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let z(h) = -3*h + 47. Let b be z(12). Solve -w = 4*g - b, 2*w + 16 = w + 5*g for w.\n' | b'-1\n' | b'Let z(h) = -3*h + 47. Let b be z(12). Solve -w = 4*g - b, 2*w + 16 = w + 5*g for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify a**40/((a**(-44)*a*a)/a) assuming a is positive.\n' | b'a**83\n' | b'Simplify a**40/((a**(-44)*a*a)/a) assuming a is positive.\n' | b'a**83\n' | deepmind/math_dataset |
b'Suppose -15*l + 103 = 28. Let t(g) = g**2 - 4*g + 1. Determine t(l).\n' | b'6\n' | b'Suppose -15*l + 103 = 28. Let t(g) = g**2 - 4*g + 1. Determine t(l).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hayohyoyobyabcoooaa. What is prob of picking 2 o?\n' | b'5/57\n' | b'Two letters picked without replacement from hayohyoyobyabcoooaa. What is prob of picking 2 o?\n' | b'5/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eeeeestyeteeeyekssee. Give prob of picking 1 t and 1 k.\n' | b'1/95\n' | b'Two letters picked without replacement from eeeeestyeteeeyekssee. Give prob of picking 1 t and 1 k.\n' | b'1/95\n' | deepmind/math_dataset |
b'Let p(u) = -u**3 + 3*u - 2. Let n be p(-3). Let h(b) = -3*b**2 - 19*b**3 - 2*b + 34*b**3 - 2 - n*b**3. Calculate h(-2).\n' | b'-2\n' | b'Let p(u) = -u**3 + 3*u - 2. Let n be p(-3). Let h(b) = -3*b**2 - 19*b**3 - 2*b + 34*b**3 - 2 - n*b**3. Calculate h(-2).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrrkrjk. What is prob of picking 1 r and 1 k?\n' | b'8/21\n' | b'Two letters picked without replacement from rrrkrjk. What is prob of picking 1 r and 1 k?\n' | b'8/21\n' | deepmind/math_dataset |
b'Let q(j) be the second derivative of -j**8/28 - 5*j**7/21 - 115*j**4/6 - 30*j + 1. Find the third derivative of q(r) wrt r.\n' | b'-240*r**3 - 600*r**2\n' | b'Let q(j) be the second derivative of -j**8/28 - 5*j**7/21 - 115*j**4/6 - 30*j + 1. Find the third derivative of q(r) wrt r.\n' | b'-240*r**3 - 600*r**2\n' | deepmind/math_dataset |
b'Let n = -523 + 525. Let r(p) = 0*p**2 + 1 + n*p**2 - p**3 + 5 - 5*p - 7 + 6. Calculate r(2).\n' | b'-5\n' | b'Let n = -523 + 525. Let r(p) = 0*p**2 + 1 + n*p**2 - p**3 + 5 - 5*p - 7 + 6. Calculate r(2).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 5 = 5*y - 10. Suppose 5*p = 5*b - 35, -y*b - p + 5 = 4*p. What is the second derivative of 4*z**3 + 2*z - z**b - z - 4*z**3 wrt z?\n' | b'-20*z**3\n' | b'Suppose 5 = 5*y - 10. Suppose 5*p = 5*b - 35, -y*b - p + 5 = 4*p. What is the second derivative of 4*z**3 + 2*z - z**b - z - 4*z**3 wrt z?\n' | b'-20*z**3\n' | deepmind/math_dataset |
b'Simplify (q**(2/3)*q)/(q*q**(1/25))*(q*q*q*q*q/(q**3/q)*q)/q**(2/39) assuming q is positive.\n' | b'q**(1487/325)\n' | b'Simplify (q**(2/3)*q)/(q*q**(1/25))*(q*q*q*q*q/(q**3/q)*q)/q**(2/39) assuming q is positive.\n' | b'q**(1487/325)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from weeewvwveeewrwvkekw. Give prob of picking 2 r and 1 w.\n' | b'0\n' | b'Three letters picked without replacement from weeewvwveeewrwvkekw. Give prob of picking 2 r and 1 w.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qvt. What is prob of sequence vq?\n' | b'1/6\n' | b'Two letters picked without replacement from qvt. What is prob of sequence vq?\n' | b'1/6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, a: 3, q: 13}. Give prob of picking 2 a.\n' | b'3/136\n' | b'Two letters picked without replacement from {d: 1, a: 3, q: 13}. Give prob of picking 2 a.\n' | b'3/136\n' | deepmind/math_dataset |
b'Simplify (y*y**(2/19)*y*y)**(-48) assuming y is positive.\n' | b'y**(-2832/19)\n' | b'Simplify (y*y**(2/19)*y*y)**(-48) assuming y is positive.\n' | b'y**(-2832/19)\n' | deepmind/math_dataset |
b'Let q(g) = -2*g - 1. Let o be (96/(-112))/((-1)/7). Calculate q(o).\n' | b'-13\n' | b'Let q(g) = -2*g - 1. Let o be (96/(-112))/((-1)/7). Calculate q(o).\n' | b'-13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 6, p: 3, g: 4, l: 1}. Give prob of picking 2 g.\n' | b'6/91\n' | b'Two letters picked without replacement from {t: 6, p: 3, g: 4, l: 1}. Give prob of picking 2 g.\n' | b'6/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 s when two letters picked without replacement from cqfkccfcs.\n' | b'1/9\n' | b'Calculate prob of picking 1 c and 1 s when two letters picked without replacement from cqfkccfcs.\n' | b'1/9\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {q: 1, e: 12, l: 1, d: 2, m: 1}.\n' | b'33/340\n' | b'Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {q: 1, e: 12, l: 1, d: 2, m: 1}.\n' | b'33/340\n' | deepmind/math_dataset |
b'Simplify (((k**(-9)/k)/(k*k**(3/2))*(k**(1/3)*k)**(1/9))**(3/14))**(-50) assuming k is positive.\n' | b'k**(16675/126)\n' | b'Simplify (((k**(-9)/k)/(k*k**(3/2))*(k**(1/3)*k)**(1/9))**(3/14))**(-50) assuming k is positive.\n' | b'k**(16675/126)\n' | deepmind/math_dataset |
b'Let u(l) = -l**2 + 8*l - 6. Let f be u(4). Let o(j) = 2*j - 21. Let y be o(f). Let z(b) = -10*b**3 - 2*b**2 - b. Determine z(y).\n' | b'9\n' | b'Let u(l) = -l**2 + 8*l - 6. Let f be u(4). Let o(j) = 2*j - 21. Let y be o(f). Let z(b) = -10*b**3 - 2*b**2 - b. Determine z(y).\n' | b'9\n' | deepmind/math_dataset |
b'Simplify (s*s/(s/(((s/s**6)/s)/s*s)))**29/(s**(-3/5)*s/((s*s/(s*s**(10/11)))/s)) assuming s is positive.\n' | b's**(-8047/55)\n' | b'Simplify (s*s/(s/(((s/s**6)/s)/s*s)))**29/(s**(-3/5)*s/((s*s/(s*s**(10/11)))/s)) assuming s is positive.\n' | b's**(-8047/55)\n' | deepmind/math_dataset |
b'Simplify ((k/((k*(k/k**(1/12)*k*k*k)/k)/k)*k)/(k*k*k/(k*((k/k**(2/11))/k)/k)))**(-34) assuming k is positive.\n' | b'k**(9197/66)\n' | b'Simplify ((k/((k*(k/k**(1/12)*k*k*k)/k)/k)*k)/(k*k*k/(k*((k/k**(2/11))/k)/k)))**(-34) assuming k is positive.\n' | b'k**(9197/66)\n' | deepmind/math_dataset |
b'Calculate prob of sequence og when two letters picked without replacement from {j: 1, o: 2, p: 1, g: 2, k: 1}.\n' | b'2/21\n' | b'Calculate prob of sequence og when two letters picked without replacement from {j: 1, o: 2, p: 1, g: 2, k: 1}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Suppose -3*i = 2*u + 9, -3*u + 2 + 7 = -3*i. Suppose -4*g - 12 = -4, -h - 3*g = u. Differentiate -5 + a**3 + h - 3 wrt a.\n' | b'3*a**2\n' | b'Suppose -3*i = 2*u + 9, -3*u + 2 + 7 = -3*i. Suppose -4*g - 12 = -4, -h - 3*g = u. Differentiate -5 + a**3 + h - 3 wrt a.\n' | b'3*a**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from {j: 3, u: 3, t: 2}.\n' | b'3/28\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from {j: 3, u: 3, t: 2}.\n' | b'3/28\n' | deepmind/math_dataset |
b'What is prob of picking 1 p, 1 h, 1 z, and 1 r when four letters picked without replacement from {p: 1, z: 1, h: 3, r: 2}?\n' | b'6/35\n' | b'What is prob of picking 1 p, 1 h, 1 z, and 1 r when four letters picked without replacement from {p: 1, z: 1, h: 3, r: 2}?\n' | b'6/35\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrar.\n' | b'5/8\n' | b'Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrar.\n' | b'5/8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ttgttttttttttttttttt. What is prob of sequence gt?\n' | b'1/20\n' | b'Two letters picked without replacement from ttgttttttttttttttttt. What is prob of sequence gt?\n' | b'1/20\n' | deepmind/math_dataset |
b'Suppose 0 = -o + 7 - 8. Let a(r) = -16*r**2 - 1. What is a(o)?\n' | b'-17\n' | b'Suppose 0 = -o + 7 - 8. Let a(r) = -16*r**2 - 1. What is a(o)?\n' | b'-17\n' | deepmind/math_dataset |
b'Let r(f) = 6*f + 4*f - 2*f - 7*f. Determine r(-1).\n' | b'-1\n' | b'Let r(f) = 6*f + 4*f - 2*f - 7*f. Determine r(-1).\n' | b'-1\n' | deepmind/math_dataset |
b'Let x(u) = -8*u - 197. Let o be x(-25). Let k be (o/(105/14))/((-1)/(-20)). Let v(f) = 2*f - 8. Give v(k).\n' | b'8\n' | b'Let x(u) = -8*u - 197. Let o be x(-25). Let k be (o/(105/14))/((-1)/(-20)). Let v(f) = 2*f - 8. Give v(k).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify n*n**(-1)*n/(n/(n/(n/(n**(1/8)*n))*n*n))*(n**5/n)/(n*n**(-6)) assuming n is positive.\n' | b'n**(97/8)\n' | b'Simplify n*n**(-1)*n/(n/(n/(n/(n**(1/8)*n))*n*n))*(n**5/n)/(n*n**(-6)) assuming n is positive.\n' | b'n**(97/8)\n' | deepmind/math_dataset |
b'Let k(z) = -z + 13. Let y(l) = l**3 + 10*l**2 + 14*l - 10. Let w be y(-8). Suppose 0 = 4*x - 3*i + w, 6*x = 2*x + 5*i - 10. Determine k(x).\n' | b'13\n' | b'Let k(z) = -z + 13. Let y(l) = l**3 + 10*l**2 + 14*l - 10. Let w be y(-8). Suppose 0 = 4*x - 3*i + w, 6*x = 2*x + 5*i - 10. Determine k(x).\n' | b'13\n' | deepmind/math_dataset |
b'Let x(n) = -2*n**2 - 105*n - 429. Let d be x(-48). Solve 2*y = 4*u - 8, -51*y + 12 = d*u - 54*y for u.\n' | b'0\n' | b'Let x(n) = -2*n**2 - 105*n - 429. Let d be x(-48). Solve 2*y = 4*u - 8, -51*y + 12 = d*u - 54*y for u.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 13, x: 3}. What is prob of picking 3 x?\n' | b'1/560\n' | b'Three letters picked without replacement from {e: 13, x: 3}. What is prob of picking 3 x?\n' | b'1/560\n' | deepmind/math_dataset |
b'Let c(o) be the second derivative of 11/30*o**6 + 0 + 0*o**5 + 5/6*o**3 + 0*o**4 + 0*o**2 + 18*o. What is the second derivative of c(x) wrt x?\n' | b'132*x**2\n' | b'Let c(o) be the second derivative of 11/30*o**6 + 0 + 0*o**5 + 5/6*o**3 + 0*o**4 + 0*o**2 + 18*o. What is the second derivative of c(x) wrt x?\n' | b'132*x**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence oo when two letters picked without replacement from {o: 3}.\n' | b'1\n' | b'Calculate prob of sequence oo when two letters picked without replacement from {o: 3}.\n' | b'1\n' | deepmind/math_dataset |
b'Let d be ((-24)/6)/((-4)/266). Let l = d - 274. Let p(n) = 2*n - 3 + 2 - 1. Determine p(l).\n' | b'-18\n' | b'Let d be ((-24)/6)/((-4)/266). Let l = d - 274. Let p(n) = 2*n - 3 + 2 - 1. Determine p(l).\n' | b'-18\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pvvdqvdvvvdpvvpqdvv. What is prob of sequence dpp?\n' | b'4/969\n' | b'Three letters picked without replacement from pvvdqvdvvvdpvvpqdvv. What is prob of sequence dpp?\n' | b'4/969\n' | deepmind/math_dataset |
b'Let d(l) be the third derivative of -7*l**4/12 - l**3/6 + 23*l**2. Determine d(-1).\n' | b'13\n' | b'Let d(l) be the third derivative of -7*l**4/12 - l**3/6 + 23*l**2. Determine d(-1).\n' | b'13\n' | deepmind/math_dataset |
b'Let s = 19 - 19. Suppose 20 = -s*q + 4*q. What is the derivative of q*l**4 + 4*l**4 - 2 - 3 + 7 wrt l?\n' | b'36*l**3\n' | b'Let s = 19 - 19. Suppose 20 = -s*q + 4*q. What is the derivative of q*l**4 + 4*l**4 - 2 - 3 + 7 wrt l?\n' | b'36*l**3\n' | deepmind/math_dataset |
b'What is prob of sequence lt when two letters picked without replacement from ttiiklueilt?\n' | b'3/55\n' | b'What is prob of sequence lt when two letters picked without replacement from ttiiklueilt?\n' | b'3/55\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 2, g: 9}. What is prob of sequence gxg?\n' | b'8/55\n' | b'Three letters picked without replacement from {x: 2, g: 9}. What is prob of sequence gxg?\n' | b'8/55\n' | deepmind/math_dataset |
b'What is prob of sequence rrm when three letters picked without replacement from mmmrrmmrrmmrmrmr?\n' | b'9/80\n' | b'What is prob of sequence rrm when three letters picked without replacement from mmmrrmmrrmmrmrmr?\n' | b'9/80\n' | deepmind/math_dataset |
b'Find the third derivative of 165*l**4 - 1989*l**4 + 2982 + 3458*l**4 - l**2 wrt l.\n' | b'39216*l\n' | b'Find the third derivative of 165*l**4 - 1989*l**4 + 2982 + 3458*l**4 - l**2 wrt l.\n' | b'39216*l\n' | deepmind/math_dataset |
b'Calculate prob of sequence oii when three letters picked without replacement from {o: 2, d: 1, i: 3, g: 3, q: 2, t: 3}.\n' | b'1/182\n' | b'Calculate prob of sequence oii when three letters picked without replacement from {o: 2, d: 1, i: 3, g: 3, q: 2, t: 3}.\n' | b'1/182\n' | deepmind/math_dataset |
b'What is prob of picking 1 v, 1 h, and 1 g when three letters picked without replacement from vgvgghhgvvvvggvhh?\n' | b'21/85\n' | b'What is prob of picking 1 v, 1 h, and 1 g when three letters picked without replacement from vgvgghhgvvvvggvhh?\n' | b'21/85\n' | deepmind/math_dataset |
b'Let k(o) = 7*o**2 - o + 1. Suppose 14*j = 31*j - 34. Calculate k(j).\n' | b'27\n' | b'Let k(o) = 7*o**2 - o + 1. Suppose 14*j = 31*j - 34. Calculate k(j).\n' | b'27\n' | deepmind/math_dataset |
b'Let i(m) = 3*m - 3. Let v = 22 + -20. Let a be i(v). What is the derivative of r**a + 4*r**3 + 1 - r**3 - 4 wrt r?\n' | b'12*r**2\n' | b'Let i(m) = 3*m - 3. Let v = 22 + -20. Let a be i(v). What is the derivative of r**a + 4*r**3 + 1 - r**3 - 4 wrt r?\n' | b'12*r**2\n' | deepmind/math_dataset |
b'Suppose -4*v = m, -v - m = -2*m. Differentiate f**3 - 7 + v*f**3 + 0*f**3 with respect to f.\n' | b'3*f**2\n' | b'Suppose -4*v = m, -v - m = -2*m. Differentiate f**3 - 7 + v*f**3 + 0*f**3 with respect to f.\n' | b'3*f**2\n' | deepmind/math_dataset |
b'Let g(z) = -z**3 + 13*z**2 + 14*z - 2. Let r be g(14). Let a be r/(-8) - (-2)/(-8). Solve t + 4*t + 27 = w, a = -3*w + 3*t + 21 for w.\n' | b'2\n' | b'Let g(z) = -z**3 + 13*z**2 + 14*z - 2. Let r be g(14). Let a be r/(-8) - (-2)/(-8). Solve t + 4*t + 27 = w, a = -3*w + 3*t + 21 for w.\n' | b'2\n' | deepmind/math_dataset |
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