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 w(m) = -3*m**2 - m. Let i be w(-1). Let g be 7/2 - (-1)/i. Solve 0*d - 2 = -3*d - u, -g*d = 3*u for d.\n' | b'1\n' | b'Let w(m) = -3*m**2 - m. Let i be w(-1). Let g be 7/2 - (-1)/i. Solve 0*d - 2 = -3*d - u, -g*d = 3*u for d.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (n**4)**(-49)*n**(2/17)*n/(((((n**(3/2)*n)/n)/n)/n)/n) assuming n is positive.\n' | b'n**(-6575/34)\n' | b'Simplify (n**4)**(-49)*n**(2/17)*n/(((((n**(3/2)*n)/n)/n)/n)/n) assuming n is positive.\n' | b'n**(-6575/34)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aaaaaaaamma. Give prob of picking 1 a and 1 m.\n' | b'18/55\n' | b'Two letters picked without replacement from aaaaaaaamma. Give prob of picking 1 a and 1 m.\n' | b'18/55\n' | deepmind/math_dataset |
b'Let o(j) = 15093*j**4 + 19*j**3 - 504*j - 30. Let x(t) = -1677*t**4 - 2*t**3 + 56*t + 3. Let w(k) = 2*o(k) + 19*x(k). Find the second derivative of w(d) wrt d.\n' | b'-20124*d**2\n' | b'Let o(j) = 15093*j**4 + 19*j**3 - 504*j - 30. Let x(t) = -1677*t**4 - 2*t**3 + 56*t + 3. Let w(k) = 2*o(k) + 19*x(k). Find the second derivative of w(d) wrt d.\n' | b'-20124*d**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from flbhjrf. Give prob of picking 1 l and 1 j.\n' | b'1/21\n' | b'Two letters picked without replacement from flbhjrf. Give prob of picking 1 l and 1 j.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let y(f) be the third derivative of 0*f + 0 + 0*f**4 + 0*f**3 - 1/6*f**5 + 3*f**2 + 11/120*f**6. What is the third derivative of y(t) wrt t?\n' | b'66\n' | b'Let y(f) be the third derivative of 0*f + 0 + 0*f**4 + 0*f**3 - 1/6*f**5 + 3*f**2 + 11/120*f**6. What is the third derivative of y(t) wrt t?\n' | b'66\n' | deepmind/math_dataset |
b'Suppose 4*j = 5*y, 0 = -5*j - 28*y + 33*y. Let a(g) = g**3 - g - 21. What is a(j)?\n' | b'-21\n' | b'Suppose 4*j = 5*y, 0 = -5*j - 28*y + 33*y. Let a(g) = g**3 - g - 21. What is a(j)?\n' | b'-21\n' | deepmind/math_dataset |
b'Calculate prob of sequence mq when two letters picked without replacement from {q: 1, u: 6, z: 1, m: 1}.\n' | b'1/72\n' | b'Calculate prob of sequence mq when two letters picked without replacement from {q: 1, u: 6, z: 1, m: 1}.\n' | b'1/72\n' | deepmind/math_dataset |
b'What is prob of sequence faaf when four letters picked without replacement from {a: 5, f: 8}?\n' | b'28/429\n' | b'What is prob of sequence faaf when four letters picked without replacement from {a: 5, f: 8}?\n' | b'28/429\n' | deepmind/math_dataset |
b'Suppose -2*p + 4 = -0. Suppose 4*x = p*w + 5 + 3, 3*x - 1 = 4*w. Find the first derivative of 5*d - 2*d - d + w wrt d.\n' | b'2\n' | b'Suppose -2*p + 4 = -0. Suppose 4*x = p*w + 5 + 3, 3*x - 1 = 4*w. Find the first derivative of 5*d - 2*d - d + w wrt d.\n' | b'2\n' | deepmind/math_dataset |
b'Let c(i) = 2*i**2 - 4*i + 1. Let l = -14 - -23. Let p be (10/15)/(2/l). Let a(v) = v**3 - 2*v**2 - v - 3. Let u be a(p). Determine c(u).\n' | b'7\n' | b'Let c(i) = 2*i**2 - 4*i + 1. Let l = -14 - -23. Let p be (10/15)/(2/l). Let a(v) = v**3 - 2*v**2 - v - 3. Let u be a(p). Determine c(u).\n' | b'7\n' | deepmind/math_dataset |
b'Let y = -7 - -12. Let x = -3 + y. Solve 8 = -x*v + 2*o, -2 = -v + 2*o - 6 for v.\n' | b'-4\n' | b'Let y = -7 - -12. Let x = -3 + y. Solve 8 = -x*v + 2*o, -2 = -v + 2*o - 6 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 2 o and 2 p when four letters picked without replacement from {p: 2, o: 5, e: 2}?\n' | b'5/63\n' | b'What is prob of picking 2 o and 2 p when four letters picked without replacement from {p: 2, o: 5, e: 2}?\n' | b'5/63\n' | deepmind/math_dataset |
b'Let g(l) be the second derivative of 0 - 7*l + 0*l**3 + 0*l**6 + 0*l**2 + 0*l**5 - 1/14*l**7 - 7/12*l**4. What is the third derivative of g(o) wrt o?\n' | b'-180*o**2\n' | b'Let g(l) be the second derivative of 0 - 7*l + 0*l**3 + 0*l**6 + 0*l**2 + 0*l**5 - 1/14*l**7 - 7/12*l**4. What is the third derivative of g(o) wrt o?\n' | b'-180*o**2\n' | deepmind/math_dataset |
b'Suppose -1 = -2*z + 5. Let o(i) = 5*i**2 - 2*i - 4*i**2 + i. Determine o(z).\n' | b'6\n' | b'Suppose -1 = -2*z + 5. Let o(i) = 5*i**2 - 2*i - 4*i**2 + i. Determine o(z).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 2 p when three letters picked without replacement from {d: 17, p: 2}.\n' | b'1/57\n' | b'Calculate prob of picking 1 d and 2 p when three letters picked without replacement from {d: 17, p: 2}.\n' | b'1/57\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iiiiii. Give prob of picking 4 i.\n' | b'1\n' | b'Four letters picked without replacement from iiiiii. Give prob of picking 4 i.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 3, p: 1, c: 2, j: 1, n: 3}. Give prob of sequence iic.\n' | b'1/60\n' | b'Three letters picked without replacement from {i: 3, p: 1, c: 2, j: 1, n: 3}. Give prob of sequence iic.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let h(b) = b**2 + 19*b - 64. Let x be h(-22). Solve 2*c + 3*c - x*v = 27, v = -2*c + 9 for c.\n' | b'5\n' | b'Let h(b) = b**2 + 19*b - 64. Let x be h(-22). Solve 2*c + 3*c - x*v = 27, v = -2*c + 9 for c.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 f and 1 y when four letters picked without replacement from ffyfffyff.\n' | b'5/9\n' | b'Calculate prob of picking 3 f and 1 y when four letters picked without replacement from ffyfffyff.\n' | b'5/9\n' | deepmind/math_dataset |
b'Simplify (t**10*t/(t/((t/(t**(-14)*t))/t*t))*(t/(t*t**(5/2)))/t**(-4/15))**26 assuming t is positive.\n' | b't**(8489/15)\n' | b'Simplify (t**10*t/(t/((t/(t**(-14)*t))/t*t))*(t/(t*t**(5/2)))/t**(-4/15))**26 assuming t is positive.\n' | b't**(8489/15)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aabbabaa. What is prob of picking 1 b and 2 a?\n' | b'15/28\n' | b'Three letters picked without replacement from aabbabaa. What is prob of picking 1 b and 2 a?\n' | b'15/28\n' | deepmind/math_dataset |
b'Let m(f) be the third derivative of 3/2*f**3 + 0 - 3*f**2 - 1/24*f**4 + 0*f. Give m(0).\n' | b'9\n' | b'Let m(f) be the third derivative of 3/2*f**3 + 0 - 3*f**2 - 1/24*f**4 + 0*f. Give m(0).\n' | b'9\n' | deepmind/math_dataset |
b'Suppose 11*o = -4*o + 30. What is the third derivative of -3*s**o - s**2 + 0*s**4 - 9*s**4 + 2*s**6 + 3*s**2 + 2 wrt s?\n' | b'240*s**3 - 216*s\n' | b'Suppose 11*o = -4*o + 30. What is the third derivative of -3*s**o - s**2 + 0*s**4 - 9*s**4 + 2*s**6 + 3*s**2 + 2 wrt s?\n' | b'240*s**3 - 216*s\n' | deepmind/math_dataset |
b'Simplify (((b**(2/3)/b)/(((((b**(2/55)*b)/b)/b)/b)/b))/(b**(-2/33)/b*(b/(b**7/b)*b)/b))**(-2/7) assuming b is positive.\n' | b'b**(-956/385)\n' | b'Simplify (((b**(2/3)/b)/(((((b**(2/55)*b)/b)/b)/b)/b))/(b**(-2/33)/b*(b/(b**7/b)*b)/b))**(-2/7) assuming b is positive.\n' | b'b**(-956/385)\n' | deepmind/math_dataset |
b'What is the third derivative of 30006*b**4 - 14*b**5 + 284*b**6 - 309*b**2 - 279*b**6 - 30000*b**4 wrt b?\n' | b'600*b**3 - 840*b**2 + 144*b\n' | b'What is the third derivative of 30006*b**4 - 14*b**5 + 284*b**6 - 309*b**2 - 279*b**6 - 30000*b**4 wrt b?\n' | b'600*b**3 - 840*b**2 + 144*b\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 3, y: 3, o: 6, m: 1}. What is prob of sequence nmoy?\n' | b'9/2860\n' | b'Four letters picked without replacement from {n: 3, y: 3, o: 6, m: 1}. What is prob of sequence nmoy?\n' | b'9/2860\n' | deepmind/math_dataset |
b'Let c be -77*(-8 - 50/(-7)). Suppose -95 = 61*a - c*a. Solve 3*k + 4*y = -2*k - a, 4*k - 3*y = -9 for k.\n' | b'-3\n' | b'Let c be -77*(-8 - 50/(-7)). Suppose -95 = 61*a - c*a. Solve 3*k + 4*y = -2*k - a, 4*k - 3*y = -9 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 x and 1 e when three letters picked without replacement from exexdd?\n' | b'1/10\n' | b'What is prob of picking 2 x and 1 e when three letters picked without replacement from exexdd?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let m(i) = -i + 10. Let f be m(6). What is the third derivative of 6*d - 188*d**5 + 164*d**5 - 10*d**2 - f*d**4 + 4*d**4 wrt d?\n' | b'-1440*d**2\n' | b'Let m(i) = -i + 10. Let f be m(6). What is the third derivative of 6*d - 188*d**5 + 164*d**5 - 10*d**2 - f*d**4 + 4*d**4 wrt d?\n' | b'-1440*d**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, j: 2, x: 1, w: 2, y: 4}. What is prob of sequence ywx?\n' | b'1/90\n' | b'Three letters picked without replacement from {i: 1, j: 2, x: 1, w: 2, y: 4}. What is prob of sequence ywx?\n' | b'1/90\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 9, u: 5, r: 2, e: 3}. What is prob of sequence eu?\n' | b'5/114\n' | b'Two letters picked without replacement from {y: 9, u: 5, r: 2, e: 3}. What is prob of sequence eu?\n' | b'5/114\n' | deepmind/math_dataset |
b'Let x(b) be the first derivative of -560*b**3/3 - 903*b**2/2 + 850. Find the second derivative of x(w) wrt w.\n' | b'-1120\n' | b'Let x(b) be the first derivative of -560*b**3/3 - 903*b**2/2 + 850. Find the second derivative of x(w) wrt w.\n' | b'-1120\n' | deepmind/math_dataset |
b'Simplify (c/(c*(c*c**(-23))/c))/(c*(c/c**(-9/7))/c*c*c)*((((c**5*c)/c)/c*c)/c)**(-36) assuming c is positive.\n' | b'c**(-877/7)\n' | b'Simplify (c/(c*(c*c**(-23))/c))/(c*(c/c**(-9/7))/c*c*c)*((((c**5*c)/c)/c*c)/c)**(-36) assuming c is positive.\n' | b'c**(-877/7)\n' | deepmind/math_dataset |
b'Suppose -8*q + 5*q + 9 = 0. Let f = -1 + q. Find the first derivative of -2*o**f + 13*o**2 - 7 - 4*o**2 wrt o.\n' | b'14*o\n' | b'Suppose -8*q + 5*q + 9 = 0. Let f = -1 + q. Find the first derivative of -2*o**f + 13*o**2 - 7 - 4*o**2 wrt o.\n' | b'14*o\n' | deepmind/math_dataset |
b'Let o(x) = -x**2 - 8*x + 11. Let y be o(-9). Suppose 1 = u - 3*u - i, -u + y*i = -12. Solve 2*z - 3*p = -13, 5*z + 19 = p + u*p for z.\n' | b'-2\n' | b'Let o(x) = -x**2 - 8*x + 11. Let y be o(-9). Suppose 1 = u - 3*u - i, -u + y*i = -12. Solve 2*z - 3*p = -13, 5*z + 19 = p + u*p for z.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence jt when two letters picked without replacement from jjjkfftjffjjjf?\n' | b'1/26\n' | b'What is prob of sequence jt when two letters picked without replacement from jjjkfftjffjjjf?\n' | b'1/26\n' | deepmind/math_dataset |
b'Calculate prob of sequence dq when two letters picked without replacement from {q: 1, s: 2, i: 1, m: 1, l: 3, d: 4}.\n' | b'1/33\n' | b'Calculate prob of sequence dq when two letters picked without replacement from {q: 1, s: 2, i: 1, m: 1, l: 3, d: 4}.\n' | b'1/33\n' | deepmind/math_dataset |
b'What is prob of sequence pgi when three letters picked without replacement from {u: 1, p: 2, i: 4, g: 3}?\n' | b'1/30\n' | b'What is prob of sequence pgi when three letters picked without replacement from {u: 1, p: 2, i: 4, g: 3}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Simplify (((w/w**(-8/5))/w)/w**(-1))**49*w**(2/9)/(w**(-2/15)/w)*w**(1/2)/((w*w/w**(-1)*w)/w) assuming w is positive.\n' | b'w**(11363/90)\n' | b'Simplify (((w/w**(-8/5))/w)/w**(-1))**49*w**(2/9)/(w**(-2/15)/w)*w**(1/2)/((w*w/w**(-1)*w)/w) assuming w is positive.\n' | b'w**(11363/90)\n' | deepmind/math_dataset |
b'Simplify (x/x**1*x/x**(-6))**(-44) assuming x is positive.\n' | b'x**(-308)\n' | b'Simplify (x/x**1*x/x**(-6))**(-44) assuming x is positive.\n' | b'x**(-308)\n' | deepmind/math_dataset |
b'Calculate prob of sequence uu when two letters picked without replacement from {u: 9, w: 1, h: 1, y: 3}.\n' | b'36/91\n' | b'Calculate prob of sequence uu when two letters picked without replacement from {u: 9, w: 1, h: 1, y: 3}.\n' | b'36/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 x when four letters picked without replacement from {x: 9}.\n' | b'1\n' | b'Calculate prob of picking 4 x when four letters picked without replacement from {x: 9}.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(m) = 2 + m**3 + 17*m - 2 - 13*m + 2. Let n be d(0). Let r(t) = n*t**2 - 4*t**2 + 0*t**2 + 4*t + t**2. What is r(3)?\n' | b'3\n' | b'Let d(m) = 2 + m**3 + 17*m - 2 - 13*m + 2. Let n be d(0). Let r(t) = n*t**2 - 4*t**2 + 0*t**2 + 4*t + t**2. What is r(3)?\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rfxxfxxrxyxxrf. Give prob of sequence xf.\n' | b'3/26\n' | b'Two letters picked without replacement from rfxxfxxrxyxxrf. Give prob of sequence xf.\n' | b'3/26\n' | deepmind/math_dataset |
b'Let a(p) = p**2 + 2. Let f(s) = -s**2 - 1. Let o(m) = -m**3 - m**2. Let r(l) = -f(l) + o(l). Let w be r(1). Give a(w).\n' | b'2\n' | b'Let a(p) = p**2 + 2. Let f(s) = -s**2 - 1. Let o(m) = -m**3 - m**2. Let r(l) = -f(l) + o(l). Let w be r(1). Give a(w).\n' | b'2\n' | deepmind/math_dataset |
b'Let v(p) be the second derivative of 0 + 0*p**2 - 1/120*p**5 - 1/6*p**3 + 1/8*p**4 - 3*p. Let c(r) be the second derivative of v(r). Differentiate c(j) wrt j.\n' | b'-1\n' | b'Let v(p) be the second derivative of 0 + 0*p**2 - 1/120*p**5 - 1/6*p**3 + 1/8*p**4 - 3*p. Let c(r) be the second derivative of v(r). Differentiate c(j) wrt j.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (s*s**(-2)*s**(1/2))**42/((s**0)**30/(s/(s*s*s**(-1/3)))**(-19)) assuming s is positive.\n' | b's**(-25/3)\n' | b'Simplify (s*s**(-2)*s**(1/2))**42/((s**0)**30/(s/(s*s*s**(-1/3)))**(-19)) assuming s is positive.\n' | b's**(-25/3)\n' | deepmind/math_dataset |
b'Let q be -3 + 3*(12 - 1). Let j be ((-40)/q)/(1/(-3)). Find the second derivative of -8*y**5 + y - j*y + 14*y**5 wrt y.\n' | b'120*y**3\n' | b'Let q be -3 + 3*(12 - 1). Let j be ((-40)/q)/(1/(-3)). Find the second derivative of -8*y**5 + y - j*y + 14*y**5 wrt y.\n' | b'120*y**3\n' | deepmind/math_dataset |
b'Simplify (l**(-1/2))**(-7)/((l/l**(1/2))/l*l*l**5*l)*(l*l**(-11)*l*l**(4/7)/l)**(-4) assuming l is positive.\n' | b'l**(243/7)\n' | b'Simplify (l**(-1/2))**(-7)/((l/l**(1/2))/l*l*l**5*l)*(l*l**(-11)*l*l**(4/7)/l)**(-4) assuming l is positive.\n' | b'l**(243/7)\n' | deepmind/math_dataset |
b'Simplify ((t/(t**(2/9)*t))/(t*((t/(t*t/(t/t**5)*t))/t)/t*t*t))**(-46)*t**3/(t/t**(-6))*(((t/(t**(-1)*t*t*t))/t*t)/t*t)**44 assuming t is positive.\n' | b't**(-2410/9)\n' | b'Simplify ((t/(t**(2/9)*t))/(t*((t/(t*t/(t/t**5)*t))/t)/t*t*t))**(-46)*t**3/(t/t**(-6))*(((t/(t**(-1)*t*t*t))/t*t)/t*t)**44 assuming t is positive.\n' | b't**(-2410/9)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from edwjeewjetj. Give prob of sequence eeje.\n' | b'1/110\n' | b'Four letters picked without replacement from edwjeewjetj. Give prob of sequence eeje.\n' | b'1/110\n' | deepmind/math_dataset |
b'Suppose -c + 61 - 56 = 0. Solve c - 3 = -3*v + 2*a, -3*v = 3*a - 18 for v.\n' | b'2\n' | b'Suppose -c + 61 - 56 = 0. Solve c - 3 = -3*v + 2*a, -3*v = 3*a - 18 for v.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (o/(o**(-1/10)/o)*o**(-5))/(o**(3/7)/(o*o/o**(3/8)*o)) assuming o is positive.\n' | b'o**(-197/280)\n' | b'Simplify (o/(o**(-1/10)/o)*o**(-5))/(o**(3/7)/(o*o/o**(3/8)*o)) assuming o is positive.\n' | b'o**(-197/280)\n' | deepmind/math_dataset |
b'What is prob of sequence an when two letters picked without replacement from nnaan?\n' | b'3/10\n' | b'What is prob of sequence an when two letters picked without replacement from nnaan?\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify (f*f*f*f/(((f*f/((f*f**(-11))/f*f))/f)/f)*f*f*(f/(f**(-3)*f))/f*((f/f**1)/f)/(f*f/(f/(f/(f/f**(-3/5))))))**(-6) assuming f is positive.\n' | b'f**(102/5)\n' | b'Simplify (f*f*f*f/(((f*f/((f*f**(-11))/f*f))/f)/f)*f*f*(f/(f**(-3)*f))/f*((f/f**1)/f)/(f*f/(f/(f/(f/f**(-3/5))))))**(-6) assuming f is positive.\n' | b'f**(102/5)\n' | deepmind/math_dataset |
b'Simplify (y**(-12))**16/((y/y**(-2/39))/y)**(-31/2) assuming y is positive.\n' | b'y**(-7457/39)\n' | b'Simplify (y**(-12))**16/((y/y**(-2/39))/y)**(-31/2) assuming y is positive.\n' | b'y**(-7457/39)\n' | deepmind/math_dataset |
b'Calculate prob of sequence nh when two letters picked without replacement from {n: 3, h: 2, g: 6, k: 2}.\n' | b'1/26\n' | b'Calculate prob of sequence nh when two letters picked without replacement from {n: 3, h: 2, g: 6, k: 2}.\n' | b'1/26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, k: 3, n: 2, i: 1, x: 1}. What is prob of sequence ei?\n' | b'1/30\n' | b'Two letters picked without replacement from {e: 3, k: 3, n: 2, i: 1, x: 1}. What is prob of sequence ei?\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose -3*d - d - 20 = 0. Let g be d/(-1 - 0) - 3. What is the third derivative of o**3 - o**3 - 2*o**3 - 4*o**g - o**3 wrt o?\n' | b'-18\n' | b'Suppose -3*d - d - 20 = 0. Let g be d/(-1 - 0) - 3. What is the third derivative of o**3 - o**3 - 2*o**3 - 4*o**g - o**3 wrt o?\n' | b'-18\n' | deepmind/math_dataset |
b'Calculate prob of sequence gghg when four letters picked without replacement from gggh.\n' | b'1/4\n' | b'Calculate prob of sequence gghg when four letters picked without replacement from gggh.\n' | b'1/4\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 3 w when four letters picked without replacement from {w: 4, q: 3}?\n' | b'12/35\n' | b'What is prob of picking 1 q and 3 w when four letters picked without replacement from {w: 4, q: 3}?\n' | b'12/35\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 b when three letters picked without replacement from xboboahxhhbh.\n' | b'3/110\n' | b'Calculate prob of picking 1 o and 2 b when three letters picked without replacement from xboboahxhhbh.\n' | b'3/110\n' | deepmind/math_dataset |
b'Let s = 82 + -8. Let v = -70 + s. Differentiate v + 11 - 5*y**2 - 5*y**2 with respect to y.\n' | b'-20*y\n' | b'Let s = 82 + -8. Let v = -70 + s. Differentiate v + 11 - 5*y**2 - 5*y**2 with respect to y.\n' | b'-20*y\n' | deepmind/math_dataset |
b'Let t(f) = 14*f**4 - f**3 + 5*f + 8. Let j(m) = -m**4 + m - 1. Let k(p) = 4*j(p) + t(p). Find the second derivative of k(c) wrt c.\n' | b'120*c**2 - 6*c\n' | b'Let t(f) = 14*f**4 - f**3 + 5*f + 8. Let j(m) = -m**4 + m - 1. Let k(p) = 4*j(p) + t(p). Find the second derivative of k(c) wrt c.\n' | b'120*c**2 - 6*c\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 4, p: 2, l: 7}. What is prob of picking 1 p and 2 l?\n' | b'21/143\n' | b'Three letters picked without replacement from {v: 4, p: 2, l: 7}. What is prob of picking 1 p and 2 l?\n' | b'21/143\n' | deepmind/math_dataset |
b'Let l(c) be the first derivative of -2 + 0*c**2 + 3*c + 2/3*c**3. What is the derivative of l(r) wrt r?\n' | b'4*r\n' | b'Let l(c) be the first derivative of -2 + 0*c**2 + 3*c + 2/3*c**3. What is the derivative of l(r) wrt r?\n' | b'4*r\n' | deepmind/math_dataset |
b'Calculate prob of sequence cip when three letters picked without replacement from cpkioho.\n' | b'1/210\n' | b'Calculate prob of sequence cip when three letters picked without replacement from cpkioho.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let p(z) = z**3 + 5*z**2 + 3*z + 4. Suppose 4*v + v = 4*s + 2, v + 4 = 3*s. Let u be 2 + (2 - 2) - 5. Let w = u - s. Give p(w).\n' | b'-11\n' | b'Let p(z) = z**3 + 5*z**2 + 3*z + 4. Suppose 4*v + v = 4*s + 2, v + 4 = 3*s. Let u be 2 + (2 - 2) - 5. Let w = u - s. Give p(w).\n' | b'-11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 3, s: 4, e: 11}. Give prob of picking 2 g.\n' | b'1/51\n' | b'Two letters picked without replacement from {g: 3, s: 4, e: 11}. Give prob of picking 2 g.\n' | b'1/51\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 1, f: 2, s: 8, c: 4}. Give prob of picking 2 s and 2 c.\n' | b'8/65\n' | b'Four letters picked without replacement from {k: 1, f: 2, s: 8, c: 4}. Give prob of picking 2 s and 2 c.\n' | b'8/65\n' | deepmind/math_dataset |
b'Suppose 4*r + 16 = 2*m, -18*m + 15*m = 3*r + 3. Let y be ((-23)/(-40) + (-63)/168)*5. Solve -4*s + y + 2 = d, -2*s = m*d + 6 for d.\n' | b'-5\n' | b'Suppose 4*r + 16 = 2*m, -18*m + 15*m = 3*r + 3. Let y be ((-23)/(-40) + (-63)/168)*5. Solve -4*s + y + 2 = d, -2*s = m*d + 6 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s, 1 j, and 1 k when three letters picked without replacement from kklzxjkjkkkkjsszj.\n' | b'7/85\n' | b'Calculate prob of picking 1 s, 1 j, and 1 k when three letters picked without replacement from kklzxjkjkkkkjsszj.\n' | b'7/85\n' | deepmind/math_dataset |
b'Let n(v) be the second derivative of 0*v**3 + 0 + 1/20*v**5 - 1/3*v**4 + 0*v**2 + 3*v. What is the third derivative of n(w) wrt w?\n' | b'6\n' | b'Let n(v) be the second derivative of 0*v**3 + 0 + 1/20*v**5 - 1/3*v**4 + 0*v**2 + 3*v. What is the third derivative of n(w) wrt w?\n' | b'6\n' | deepmind/math_dataset |
b'Let j = 20 + 0. Let z(h) = -h + 15. Let o be z(11). Solve -5*i = -5*p + j, -4*p + 0*i + 8 = o*i for p.\n' | b'3\n' | b'Let j = 20 + 0. Let z(h) = -h + 15. Let o be z(11). Solve -5*i = -5*p + j, -4*p + 0*i + 8 = o*i for p.\n' | b'3\n' | deepmind/math_dataset |
b'Let h(j) be the third derivative of -j**8/1680 - j**5/20 + j**4/6 + 4*j**2. Let v(k) be the second derivative of h(k). Differentiate v(o) wrt o.\n' | b'-12*o**2\n' | b'Let h(j) be the third derivative of -j**8/1680 - j**5/20 + j**4/6 + 4*j**2. Let v(k) be the second derivative of h(k). Differentiate v(o) wrt o.\n' | b'-12*o**2\n' | deepmind/math_dataset |
b'Let m(l) = 100*l**2 - 2 - 4*l + 10 + 12*l. Let y(f) = 99*f**2 + 7*f + 6. Let s(c) = -4*m(c) + 5*y(c). What is the second derivative of s(o) wrt o?\n' | b'190\n' | b'Let m(l) = 100*l**2 - 2 - 4*l + 10 + 12*l. Let y(f) = 99*f**2 + 7*f + 6. Let s(c) = -4*m(c) + 5*y(c). What is the second derivative of s(o) wrt o?\n' | b'190\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 3, a: 9}. Give prob of picking 1 a and 1 i.\n' | b'9/22\n' | b'Two letters picked without replacement from {i: 3, a: 9}. Give prob of picking 1 a and 1 i.\n' | b'9/22\n' | deepmind/math_dataset |
b'Suppose j - 357 = -297. What is the first derivative of -j - 21*o - 39 + 81 wrt o?\n' | b'-21\n' | b'Suppose j - 357 = -297. What is the first derivative of -j - 21*o - 39 + 81 wrt o?\n' | b'-21\n' | deepmind/math_dataset |
b'What is prob of sequence eve when three letters picked without replacement from cveccvnne?\n' | b'1/126\n' | b'What is prob of sequence eve when three letters picked without replacement from cveccvnne?\n' | b'1/126\n' | deepmind/math_dataset |
b'Let h(j) = j**3 - 8*j**2 + 11*j + 8. Let q be h(6). Let y(i) = i - 370*i**2 + 372*i**q + 2 + 0 - 3. Calculate y(1).\n' | b'2\n' | b'Let h(j) = j**3 - 8*j**2 + 11*j + 8. Let q be h(6). Let y(i) = i - 370*i**2 + 372*i**q + 2 + 0 - 3. Calculate y(1).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((m/(m*m*m**(-3))*m)/(m*m**(6/11)))**(-2/157)*(m**4/m*m)/(m**4*m)*(m/(m**(-1/4)/m*m))/m*m/m**5 assuming m is positive.\n' | b'm**(-32941/6908)\n' | b'Simplify ((m/(m*m*m**(-3))*m)/(m*m**(6/11)))**(-2/157)*(m**4/m*m)/(m**4*m)*(m/(m**(-1/4)/m*m))/m*m/m**5 assuming m is positive.\n' | b'm**(-32941/6908)\n' | deepmind/math_dataset |
b'Let n(k) = -k**3 + 7*k**2 - 7*k + 5. Suppose 2*z - 79 = -4*y + 1, -2*y = -6. Let c be 21/14*(-56)/3. Let t = c + z. Determine n(t).\n' | b'-1\n' | b'Let n(k) = -k**3 + 7*k**2 - 7*k + 5. Suppose 2*z - 79 = -4*y + 1, -2*y = -6. Let c be 21/14*(-56)/3. Let t = c + z. Determine n(t).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 0 = j - 6 + 3. Differentiate -j*b + 7 - 6 - 5 with respect to b.\n' | b'-3\n' | b'Suppose 0 = j - 6 + 3. Differentiate -j*b + 7 - 6 - 5 with respect to b.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iticitr. What is prob of sequence ccri?\n' | b'0\n' | b'Four letters picked without replacement from iticitr. What is prob of sequence ccri?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 4, g: 3}. Give prob of picking 1 z and 1 g.\n' | b'4/7\n' | b'Two letters picked without replacement from {z: 4, g: 3}. Give prob of picking 1 z and 1 g.\n' | b'4/7\n' | deepmind/math_dataset |
b'Simplify ((t*t**14)/t)/((t*t/t**9)/t) assuming t is positive.\n' | b't**22\n' | b'Simplify ((t*t**14)/t)/((t*t/t**9)/t) assuming t is positive.\n' | b't**22\n' | deepmind/math_dataset |
b'Simplify (i*i**6*i*i**(-5/4)*i)/(i*(i/i**1)/i)**37*i**(1/2)*i**(3/5)*(i**0)**33 assuming i is positive.\n' | b'i**(177/20)\n' | b'Simplify (i*i**6*i*i**(-5/4)*i)/(i*(i/i**1)/i)**37*i**(1/2)*i**(3/5)*(i**0)**33 assuming i is positive.\n' | b'i**(177/20)\n' | deepmind/math_dataset |
b'Suppose -4*a + 20 = 2*k, 0 = -6*a + 3*a + 3*k + 6. Solve 0 = a*q - 2*l - 10, 3*l - 40 = -3*q - 2*l for q.\n' | b'5\n' | b'Suppose -4*a + 20 = 2*k, 0 = -6*a + 3*a + 3*k + 6. Solve 0 = a*q - 2*l - 10, 3*l - 40 = -3*q - 2*l for q.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify c**(-1)/(c*c**(-2/45))*(c**(2/7))**(-24) assuming c is positive.\n' | b'c**(-2776/315)\n' | b'Simplify c**(-1)/(c*c**(-2/45))*(c**(2/7))**(-24) assuming c is positive.\n' | b'c**(-2776/315)\n' | deepmind/math_dataset |
b'What is prob of sequence ttd when three letters picked without replacement from tdtttdddtt?\n' | b'1/6\n' | b'What is prob of sequence ttd when three letters picked without replacement from tdtttdddtt?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of sequence kk when two letters picked without replacement from khhhkkhhkkkkh.\n' | b'7/26\n' | b'Calculate prob of sequence kk when two letters picked without replacement from khhhkkhhkkkkh.\n' | b'7/26\n' | deepmind/math_dataset |
b'Simplify ((((h/(h**(-3/7)*h))/h**(-1/4))/(h*(h**(-1/5)*h)/h)**(-48))**(1/2))**21 assuming h is positive.\n' | b'h**(16413/40)\n' | b'Simplify ((((h/(h**(-3/7)*h))/h**(-1/4))/(h*(h**(-1/5)*h)/h)**(-48))**(1/2))**21 assuming h is positive.\n' | b'h**(16413/40)\n' | deepmind/math_dataset |
b'What is prob of sequence iuiz when four letters picked without replacement from uuuuzizzzuziuzzuzi?\n' | b'7/1530\n' | b'What is prob of sequence iuiz when four letters picked without replacement from uuuuzizzzuziuzzuzi?\n' | b'7/1530\n' | deepmind/math_dataset |
b'Calculate prob of sequence ve when two letters picked without replacement from lveylyqv.\n' | b'1/28\n' | b'Calculate prob of sequence ve when two letters picked without replacement from lveylyqv.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let l be (-26)/(-13) + -1 + 1. Let i = l - -5. Solve 3*v - 5*v + i = -5*a, 3 = -v - 4*a for v.\n' | b'1\n' | b'Let l be (-26)/(-13) + -1 + 1. Let i = l - -5. Solve 3*v - 5*v + i = -5*a, 3 = -v - 4*a for v.\n' | b'1\n' | deepmind/math_dataset |
b'Let n(x) be the first derivative of -19*x**5/5 - 67*x**2 + 4911*x + 8013. What is the derivative of n(m) wrt m?\n' | b'-76*m**3 - 134\n' | b'Let n(x) be the first derivative of -19*x**5/5 - 67*x**2 + 4911*x + 8013. What is the derivative of n(m) wrt m?\n' | b'-76*m**3 - 134\n' | deepmind/math_dataset |
b'Suppose -2*v + 4*v + 4 = 0. Let t be (-1)/(7/v + 3). Find the second derivative of 2*q**2 + 5*q - 2*q**t + q**2 wrt q.\n' | b'2\n' | b'Suppose -2*v + 4*v + 4 = 0. Let t be (-1)/(7/v + 3). Find the second derivative of 2*q**2 + 5*q - 2*q**t + q**2 wrt q.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -13*l = 4*l - 34. Solve -l*g - 15 = -c - 7*g, -c - g = 1 for c.\n' | b'-5\n' | b'Suppose -13*l = 4*l - 34. Solve -l*g - 15 = -c - 7*g, -c - g = 1 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(u) be the third derivative of 13*u**6/20 + u**5/12 + 2*u**2 + 31*u. Find the third derivative of x(l) wrt l.\n' | b'468\n' | b'Let x(u) be the third derivative of 13*u**6/20 + u**5/12 + 2*u**2 + 31*u. Find the third derivative of x(l) wrt l.\n' | b'468\n' | deepmind/math_dataset |
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