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 b be 33/27 + (0 - 6/27). Let r(m) = 6*m + 9*m - 18*m + 2*m + b. Calculate r(0).\n' | b'1\n' | b'Let b be 33/27 + (0 - 6/27). Let r(m) = 6*m + 9*m - 18*m + 2*m + b. Calculate r(0).\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nhghvccgcfvh. Give prob of picking 3 c.\n' | b'1/220\n' | b'Three letters picked without replacement from nhghvccgcfvh. Give prob of picking 3 c.\n' | b'1/220\n' | deepmind/math_dataset |
b'Simplify (l/(l**(-9)/l))/(l*l/l**(-9)*l*l)*(((l*(l/(l**(-8)/l))/l*l)/l)/l)/l*l**(3/5)/l assuming l is positive.\n' | b'l**(28/5)\n' | b'Simplify (l/(l**(-9)/l))/(l*l/l**(-9)*l*l)*(((l*(l/(l**(-8)/l))/l*l)/l)/l)/l*l**(3/5)/l assuming l is positive.\n' | b'l**(28/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from siississsissiiiisisi. Give prob of sequence isi.\n' | b'5/38\n' | b'Three letters picked without replacement from siississsissiiiisisi. Give prob of sequence isi.\n' | b'5/38\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 4, n: 5, o: 1, a: 6}. Give prob of picking 1 o and 3 n.\n' | b'1/182\n' | b'Four letters picked without replacement from {d: 4, n: 5, o: 1, a: 6}. Give prob of picking 1 o and 3 n.\n' | b'1/182\n' | deepmind/math_dataset |
b'What is prob of picking 1 x and 1 z when two letters picked without replacement from {x: 6, a: 2, z: 6, i: 4}?\n' | b'4/17\n' | b'What is prob of picking 1 x and 1 z when two letters picked without replacement from {x: 6, a: 2, z: 6, i: 4}?\n' | b'4/17\n' | deepmind/math_dataset |
b'Let z(w) be the first derivative of 7*w**2/2 + 2*w + 4. Differentiate z(x) with respect to x.\n' | b'7\n' | b'Let z(w) be the first derivative of 7*w**2/2 + 2*w + 4. Differentiate z(x) with respect to x.\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (d*d/(d/d**(3/7)))/d**(-8)*d/d**(-2/7)*d/((d*d**(-3/7)*d)/d) assuming d is positive.\n' | b'd**(78/7)\n' | b'Simplify (d*d/(d/d**(3/7)))/d**(-8)*d/d**(-2/7)*d/((d*d**(-3/7)*d)/d) assuming d is positive.\n' | b'd**(78/7)\n' | deepmind/math_dataset |
b'What is the third derivative of 0*o**2 + 26*o**2 + 14*o**2 + 3*o**4 wrt o?\n' | b'72*o\n' | b'What is the third derivative of 0*o**2 + 26*o**2 + 14*o**2 + 3*o**4 wrt o?\n' | b'72*o\n' | deepmind/math_dataset |
b'Suppose 0 = -8*p + 6*p + 12. Let f be 4 + -5 + 1*p. Let w be 2/(-6*f/(-45)). Solve -3*x = -3*m + 15, 2*x + 7 = 5*m + w*x for m.\n' | b'2\n' | b'Suppose 0 = -8*p + 6*p + 12. Let f be 4 + -5 + 1*p. Let w be 2/(-6*f/(-45)). Solve -3*x = -3*m + 15, 2*x + 7 = 5*m + w*x for m.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -142*t + 59 = -31 - 194. Solve -7*f - 8 = -2*g - 4*f, t*f + 5 = g for g.\n' | b'1\n' | b'Suppose -142*t + 59 = -31 - 194. Solve -7*f - 8 = -2*g - 4*f, t*f + 5 = g for g.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, w: 7, q: 2, k: 10}. Give prob of picking 1 h and 1 q.\n' | b'1/95\n' | b'Two letters picked without replacement from {h: 1, w: 7, q: 2, k: 10}. Give prob of picking 1 h and 1 q.\n' | b'1/95\n' | deepmind/math_dataset |
b'What is prob of sequence upa when three letters picked without replacement from ppaapappuppluupupplu?\n' | b'5/228\n' | b'What is prob of sequence upa when three letters picked without replacement from ppaapappuppluupupplu?\n' | b'5/228\n' | deepmind/math_dataset |
b'What is prob of picking 3 d when three letters picked without replacement from {b: 2, t: 1, d: 4}?\n' | b'4/35\n' | b'What is prob of picking 3 d when three letters picked without replacement from {b: 2, t: 1, d: 4}?\n' | b'4/35\n' | deepmind/math_dataset |
b'Simplify (q*q**(-2/3))**(-46) assuming q is positive.\n' | b'q**(-46/3)\n' | b'Simplify (q*q**(-2/3))**(-46) assuming q is positive.\n' | b'q**(-46/3)\n' | deepmind/math_dataset |
b'Let k(v) = -2*v - 9. Suppose 0*u + 36 = 3*u. Suppose 4*d + 16 = 5*n - u, -4*d = 5*n + 28. Determine k(d).\n' | b'5\n' | b'Let k(v) = -2*v - 9. Suppose 0*u + 36 = 3*u. Suppose 4*d + 16 = 5*n - u, -4*d = 5*n + 28. Determine k(d).\n' | b'5\n' | deepmind/math_dataset |
b'Let u be -1 + 0 + 4 - -19. Let n = u + 10. Solve f = 2*z + 12, 0*z = -3*f + 5*z + n for f.\n' | b'4\n' | b'Let u be -1 + 0 + 4 - -19. Let n = u + 10. Solve f = 2*z + 12, 0*z = -3*f + 5*z + n for f.\n' | b'4\n' | deepmind/math_dataset |
b'Let q(k) = -k**2 + 17*k + 18. Let l be q(18). Let f(v) be the second derivative of 0 + 2*v - v**2 + l*v**3 + 1/6*v**4. Differentiate f(o) with respect to o.\n' | b'4*o\n' | b'Let q(k) = -k**2 + 17*k + 18. Let l be q(18). Let f(v) be the second derivative of 0 + 2*v - v**2 + l*v**3 + 1/6*v**4. Differentiate f(o) with respect to o.\n' | b'4*o\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 2, e: 3, a: 2, i: 4, m: 1}. Give prob of picking 2 s.\n' | b'1/66\n' | b'Two letters picked without replacement from {s: 2, e: 3, a: 2, i: 4, m: 1}. Give prob of picking 2 s.\n' | b'1/66\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 1, b: 1, a: 2, o: 2}. What is prob of sequence oaab?\n' | b'1/90\n' | b'Four letters picked without replacement from {h: 1, b: 1, a: 2, o: 2}. What is prob of sequence oaab?\n' | b'1/90\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {n: 1, t: 1, m: 3}.\n' | b'3/10\n' | b'Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {n: 1, t: 1, m: 3}.\n' | b'3/10\n' | deepmind/math_dataset |
b'Let o(j) = 7*j + 90. Let q(k) = -2*k - 16. Let g(u) = o(u) + 4*q(u). What is g(19)?\n' | b'7\n' | b'Let o(j) = 7*j + 90. Let q(k) = -2*k - 16. Let g(u) = o(u) + 4*q(u). What is g(19)?\n' | b'7\n' | deepmind/math_dataset |
b'Let h(z) = 19*z**2 + z + z**3 - 19*z**2 - 2*z. Let d(b) = -b + 3. Let j be d(7). Let p(l) = 5*l**3 + 4*l**2 - 2*l. Let q(a) = j*h(a) + p(a). Calculate q(-2).\n' | b'4\n' | b'Let h(z) = 19*z**2 + z + z**3 - 19*z**2 - 2*z. Let d(b) = -b + 3. Let j be d(7). Let p(l) = 5*l**3 + 4*l**2 - 2*l. Let q(a) = j*h(a) + p(a). Calculate q(-2).\n' | b'4\n' | deepmind/math_dataset |
b'Let q(m) = 36610*m**2 - 208*m + 7126. Let z(s) = 7322*s**2 - 43*s + 1425. Let x(i) = 6*q(i) - 29*z(i). What is the second derivative of x(c) wrt c?\n' | b'14644\n' | b'Let q(m) = 36610*m**2 - 208*m + 7126. Let z(s) = 7322*s**2 - 43*s + 1425. Let x(i) = 6*q(i) - 29*z(i). What is the second derivative of x(c) wrt c?\n' | b'14644\n' | deepmind/math_dataset |
b'Simplify (c/((c/c**(4/5))/c))/(c**(-6)/c)*(c**(-1))**(-22) assuming c is positive.\n' | b'c**(154/5)\n' | b'Simplify (c/((c/c**(4/5))/c))/(c**(-6)/c)*(c**(-1))**(-22) assuming c is positive.\n' | b'c**(154/5)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwoseow. What is prob of picking 2 o?\n' | b'1/21\n' | b'Two letters picked without replacement from wwoseow. What is prob of picking 2 o?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let u(z) be the third derivative of 5*z**8/336 - 17*z**6/60 + 437*z**4/12 + 1248*z**2. Find the second derivative of u(b) wrt b.\n' | b'100*b**3 - 204*b\n' | b'Let u(z) be the third derivative of 5*z**8/336 - 17*z**6/60 + 437*z**4/12 + 1248*z**2. Find the second derivative of u(b) wrt b.\n' | b'100*b**3 - 204*b\n' | deepmind/math_dataset |
b'Let i(h) be the first derivative of -h**4/12 + 2*h**3/3 - 5*h - 6. Let f(n) be the first derivative of i(n). What is f(3)?\n' | b'3\n' | b'Let i(h) be the first derivative of -h**4/12 + 2*h**3/3 - 5*h - 6. Let f(n) be the first derivative of i(n). What is f(3)?\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence us when two letters picked without replacement from {s: 3, l: 4, u: 4, j: 3, z: 4, n: 2}.\n' | b'3/95\n' | b'Calculate prob of sequence us when two letters picked without replacement from {s: 3, l: 4, u: 4, j: 3, z: 4, n: 2}.\n' | b'3/95\n' | deepmind/math_dataset |
b'Suppose -4 = h, 5*c = -2*h + 6*h + 26. Suppose -3*s + 31 = -6*q + 2*q, 4*q = s - 13. Solve 5*b + 6 = o, -c*b - o + 1 - s = 0 for b.\n' | b'-2\n' | b'Suppose -4 = h, 5*c = -2*h + 6*h + 26. Suppose -3*s + 31 = -6*q + 2*q, 4*q = s - 13. Solve 5*b + 6 = o, -c*b - o + 1 - s = 0 for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Let b = 0 + 0. Solve -c - 13 = -4*d, -5*d = -b*d + 2*c - 13 for d.\n' | b'3\n' | b'Let b = 0 + 0. Solve -c - 13 = -4*d, -5*d = -b*d + 2*c - 13 for d.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from ggggggbgggggggg.\n' | b'13/15\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from ggggggbgggggggg.\n' | b'13/15\n' | deepmind/math_dataset |
b'Let z = 24 - 5. Solve 5*r - z = -3*i, -r = -2*i + r + 2 for i.\n' | b'3\n' | b'Let z = 24 - 5. Solve 5*r - z = -3*i, -r = -2*i + r + 2 for i.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 d and 2 b when four letters picked without replacement from {w: 5, d: 5, o: 1, b: 6}?\n' | b'15/238\n' | b'What is prob of picking 2 d and 2 b when four letters picked without replacement from {w: 5, d: 5, o: 1, b: 6}?\n' | b'15/238\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dupupxuuuupppucdpp. What is prob of picking 2 d and 2 p?\n' | b'7/1020\n' | b'Four letters picked without replacement from dupupxuuuupppucdpp. What is prob of picking 2 d and 2 p?\n' | b'7/1020\n' | deepmind/math_dataset |
b'Find the second derivative of -537 - 811*q**2 + 20*q + 1092 - 555 + 3*q wrt q.\n' | b'-1622\n' | b'Find the second derivative of -537 - 811*q**2 + 20*q + 1092 - 555 + 3*q wrt q.\n' | b'-1622\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mtzmqkkmzz. Give prob of picking 1 m, 1 k, and 1 t.\n' | b'1/20\n' | b'Three letters picked without replacement from mtzmqkkmzz. Give prob of picking 1 m, 1 k, and 1 t.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let i(r) = r**3 - 2*r + 9. Let f(y) = y**3 - y + 10. Let g(q) = 3*f(q) - 2*i(q). Suppose -9*p = -7*p. What is g(p)?\n' | b'12\n' | b'Let i(r) = r**3 - 2*r + 9. Let f(y) = y**3 - y + 10. Let g(q) = 3*f(q) - 2*i(q). Suppose -9*p = -7*p. What is g(p)?\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of sequence mqq when three letters picked without replacement from hmbmyqyoq?\n' | b'1/126\n' | b'What is prob of sequence mqq when three letters picked without replacement from hmbmyqyoq?\n' | b'1/126\n' | deepmind/math_dataset |
b'Simplify ((n*n**(16/9))/(n**(-9/10)/n))/(n/(n/(n*n*n**(-16)*n))*(((n*n**25)/n)/n)/n) assuming n is positive.\n' | b'n**(-479/90)\n' | b'Simplify ((n*n**(16/9))/(n**(-9/10)/n))/(n/(n/(n*n*n**(-16)*n))*(((n*n**25)/n)/n)/n) assuming n is positive.\n' | b'n**(-479/90)\n' | deepmind/math_dataset |
b'Let a(w) be the third derivative of -5*w**6/24 + 13*w**3/3 + 33*w**2. What is the derivative of a(i) wrt i?\n' | b'-75*i**2\n' | b'Let a(w) be the third derivative of -5*w**6/24 + 13*w**3/3 + 33*w**2. What is the derivative of a(i) wrt i?\n' | b'-75*i**2\n' | deepmind/math_dataset |
b'Simplify (((f/(f/(f/f**(-3/5)))*f)/f)**(39/4)*(f**12)**(8/13))**(2/21) assuming f is positive.\n' | b'f**(996/455)\n' | b'Simplify (((f/(f/(f/f**(-3/5)))*f)/f)**(39/4)*(f**12)**(8/13))**(2/21) assuming f is positive.\n' | b'f**(996/455)\n' | deepmind/math_dataset |
b'Let l(x) = -x - 12. Let c(i) = -3*i - 6. Let g be c(-4). Suppose 0 = -4*a + 5*a + g. Let s be 8/(-12)*(-63)/a. Determine l(s).\n' | b'-5\n' | b'Let l(x) = -x - 12. Let c(i) = -3*i - 6. Let g be c(-4). Suppose 0 = -4*a + 5*a + g. Let s be 8/(-12)*(-63)/a. Determine l(s).\n' | b'-5\n' | deepmind/math_dataset |
b'Let s(i) be the third derivative of i**6/120 + 4*i**5/15 - 17*i**4/24 - i**3 - 132*i**2. Determine s(-17).\n' | b'-6\n' | b'Let s(i) be the third derivative of i**6/120 + 4*i**5/15 - 17*i**4/24 - i**3 - 132*i**2. Determine s(-17).\n' | b'-6\n' | deepmind/math_dataset |
b'Let i(m) be the second derivative of m**7/840 - m**6/72 + m**5/24 + m**4/6 + 33*m**3 + 108*m + 2. Let w(g) be the second derivative of i(g). What is w(4)?\n' | b'8\n' | b'Let i(m) be the second derivative of m**7/840 - m**6/72 + m**5/24 + m**4/6 + 33*m**3 + 108*m + 2. Let w(g) be the second derivative of i(g). What is w(4)?\n' | b'8\n' | deepmind/math_dataset |
b'Let j be (-1755)/(-54)*4/5. Let w(k) = -k + 30. Let v be w(j). Solve 29 = 3*m - v*r - 0*r, 0 = 4*r + 20 for m.\n' | b'3\n' | b'Let j be (-1755)/(-54)*4/5. Let w(k) = -k + 30. Let v be w(j). Solve 29 = 3*m - v*r - 0*r, 0 = 4*r + 20 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Let a(p) = 2*p - 2. Let t(u) = 3*u - 3. Let k(w) = -8*a(w) + 5*t(w). Suppose 3*s - 2 = -4*y + 8, s = -y + 3. What is k(y)?\n' | b'0\n' | b'Let a(p) = 2*p - 2. Let t(u) = 3*u - 3. Let k(w) = -8*a(w) + 5*t(w). Suppose 3*s - 2 = -4*y + 8, s = -y + 3. What is k(y)?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 s when two letters picked without replacement from {o: 1, c: 6, s: 4}?\n' | b'24/55\n' | b'What is prob of picking 1 c and 1 s when two letters picked without replacement from {o: 1, c: 6, s: 4}?\n' | b'24/55\n' | deepmind/math_dataset |
b'What is prob of sequence svdq when four letters picked without replacement from vdqvvssvyv?\n' | b'1/504\n' | b'What is prob of sequence svdq when four letters picked without replacement from vdqvvssvyv?\n' | b'1/504\n' | deepmind/math_dataset |
b'Let z(t) be the third derivative of 0*t + 0*t**3 + 0 + 5*t**2 - 1/60*t**5 + 0*t**4 + 0*t**6 + 4/105*t**7. Find the third derivative of z(i) wrt i.\n' | b'192*i\n' | b'Let z(t) be the third derivative of 0*t + 0*t**3 + 0 + 5*t**2 - 1/60*t**5 + 0*t**4 + 0*t**6 + 4/105*t**7. Find the third derivative of z(i) wrt i.\n' | b'192*i\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from iueyleele?\n' | b'1/6\n' | b'What is prob of sequence ee when two letters picked without replacement from iueyleele?\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of picking 1 i and 2 a when three letters picked without replacement from iaiiiiiiaaiiiii?\n' | b'36/455\n' | b'What is prob of picking 1 i and 2 a when three letters picked without replacement from iaiiiiiiaaiiiii?\n' | b'36/455\n' | deepmind/math_dataset |
b'Let w(o) = 3*o - 8. Let x(r) = -5*r + 15. Let p(q) = 7*w(q) + 4*x(q). What is p(-13)?\n' | b'-9\n' | b'Let w(o) = 3*o - 8. Let x(r) = -5*r + 15. Let p(q) = 7*w(q) + 4*x(q). What is p(-13)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let i(u) be the first derivative of 5*u**2/2 - 49*u - 232. Give i(11).\n' | b'6\n' | b'Let i(u) be the first derivative of 5*u**2/2 - 49*u - 232. Give i(11).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence dxjx when four letters picked without replacement from oooxooxojxid.\n' | b'1/1980\n' | b'Calculate prob of sequence dxjx when four letters picked without replacement from oooxooxojxid.\n' | b'1/1980\n' | deepmind/math_dataset |
b'Simplify (i**14*i**(2/5))**(-33) assuming i is positive.\n' | b'i**(-2376/5)\n' | b'Simplify (i**14*i**(2/5))**(-33) assuming i is positive.\n' | b'i**(-2376/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lqwwlqlq. Give prob of picking 3 l.\n' | b'1/56\n' | b'Three letters picked without replacement from lqwwlqlq. Give prob of picking 3 l.\n' | b'1/56\n' | deepmind/math_dataset |
b'Let l(f) = -2*f - 29. Let a(h) = -h - 14. Let x be -2 - 1*(-2 - -2). Let n(z) = x*l(z) + 5*a(z). What is n(0)?\n' | b'-12\n' | b'Let l(f) = -2*f - 29. Let a(h) = -h - 14. Let x be -2 - 1*(-2 - -2). Let n(z) = x*l(z) + 5*a(z). What is n(0)?\n' | b'-12\n' | deepmind/math_dataset |
b'Let c(s) = -6*s**2 + s + 3. Let v be c(-2). Let p = v - -28. Solve 29 = -i + p*f, -2*f = -0*i + 5*i + 10 for i.\n' | b'-4\n' | b'Let c(s) = -6*s**2 + s + 3. Let v be c(-2). Let p = v - -28. Solve 29 = -i + p*f, -2*f = -0*i + 5*i + 10 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (l**(-32)*l)/(l**(-1/4)/l) assuming l is positive.\n' | b'l**(-119/4)\n' | b'Simplify (l**(-32)*l)/(l**(-1/4)/l) assuming l is positive.\n' | b'l**(-119/4)\n' | deepmind/math_dataset |
b'Suppose h - 81 = -8*h. What is the second derivative of -2*k**3 + 4*k**2 - 14*k - h*k**2 + 64*k + 4*k**2 wrt k?\n' | b'-12*k - 2\n' | b'Suppose h - 81 = -8*h. What is the second derivative of -2*k**3 + 4*k**2 - 14*k - h*k**2 + 64*k + 4*k**2 wrt k?\n' | b'-12*k - 2\n' | deepmind/math_dataset |
b'Suppose -25*i + 4012 = -238. Let u = i + -185. Let t(q) = q**3 + 14*q**2 - 13*q + 35. Determine t(u).\n' | b'5\n' | b'Suppose -25*i + 4012 = -238. Let u = i + -185. Let t(q) = q**3 + 14*q**2 - 13*q + 35. Determine t(u).\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 0 = -k - 4, -2*h = 3*k + 40 - 34. Solve 0 = -h*y - 5*j + 7, 0 = -5*y - 2*j + 18 for y.\n' | b'4\n' | b'Suppose 0 = -k - 4, -2*h = 3*k + 40 - 34. Solve 0 = -h*y - 5*j + 7, 0 = -5*y - 2*j + 18 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Let o(y) = 3 + 3*y + 6 + 3*y**2 - y**3 - 7. Give o(3).\n' | b'11\n' | b'Let o(y) = 3 + 3*y + 6 + 3*y**2 - y**3 - 7. Give o(3).\n' | b'11\n' | deepmind/math_dataset |
b'Let l = 260 + -525. Let j = l - -269. Solve m = -5*t - j*m, -3*t = -2*m - 10 for t.\n' | b'2\n' | b'Let l = 260 + -525. Let j = l - -269. Solve m = -5*t - j*m, -3*t = -2*m - 10 for t.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify g**(3/7)/(g**(-3)*g)*g**(-6)*(g**(4/5)/g)/g assuming g is positive.\n' | b'g**(-167/35)\n' | b'Simplify g**(3/7)/(g**(-3)*g)*g**(-6)*(g**(4/5)/g)/g assuming g is positive.\n' | b'g**(-167/35)\n' | deepmind/math_dataset |
b'Let k be (4 - (-16)/(-2)) + 57*-1. Let n = k + 63. Solve 2*s + 3*o - n - 13 = 0, -o + 5 = -2*s for s.\n' | b'0\n' | b'Let k be (4 - (-16)/(-2)) + 57*-1. Let n = k + 63. Solve 2*s + 3*o - n - 13 = 0, -o + 5 = -2*s for s.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 1, n: 2, e: 1, p: 1, u: 2}. What is prob of picking 1 n, 1 p, and 1 o?\n' | b'2/35\n' | b'Three letters picked without replacement from {o: 1, n: 2, e: 1, p: 1, u: 2}. What is prob of picking 1 n, 1 p, and 1 o?\n' | b'2/35\n' | deepmind/math_dataset |
b'Let m(z) be the second derivative of 0*z**5 + 0*z**2 + 5/7*z**7 + 0*z**6 - 5*z**3 + 0*z**4 - z - 28. What is the second derivative of m(q) wrt q?\n' | b'600*q**3\n' | b'Let m(z) be the second derivative of 0*z**5 + 0*z**2 + 5/7*z**7 + 0*z**6 - 5*z**3 + 0*z**4 - z - 28. What is the second derivative of m(q) wrt q?\n' | b'600*q**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence mmxx when four letters picked without replacement from {e: 1, f: 4, x: 5, m: 6}.\n' | b'5/364\n' | b'Calculate prob of sequence mmxx when four letters picked without replacement from {e: 1, f: 4, x: 5, m: 6}.\n' | b'5/364\n' | deepmind/math_dataset |
b'Let n = 312 - 307. Let u be -4*(-56)/(2 + n). Solve -b + 4*m + 9 = -4, 5*m = -4*b - u for b.\n' | b'-3\n' | b'Let n = 312 - 307. Let u be -4*(-56)/(2 + n). Solve -b + 4*m + 9 = -4, 5*m = -4*b - u for b.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 z and 1 f when three letters picked without replacement from {b: 1, z: 6, w: 1, f: 1}?\n' | b'5/28\n' | b'What is prob of picking 2 z and 1 f when three letters picked without replacement from {b: 1, z: 6, w: 1, f: 1}?\n' | b'5/28\n' | deepmind/math_dataset |
b'Let r be 1/(-2*7/(-56)). Solve 0 = 4*n - 3*u - 4 - 2, r*n = u + 2 for n.\n' | b'0\n' | b'Let r be 1/(-2*7/(-56)). Solve 0 = 4*n - 3*u - 4 - 2, r*n = u + 2 for n.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -2897 = -19*d - 2859. Solve -d*v = -m - 5 + 1, -v + 7 = 2*m for v.\n' | b'3\n' | b'Suppose -2897 = -19*d - 2859. Solve -d*v = -m - 5 + 1, -v + 7 = 2*m for v.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence nkj when three letters picked without replacement from {p: 7, n: 1, d: 1, j: 1, k: 5}?\n' | b'1/546\n' | b'What is prob of sequence nkj when three letters picked without replacement from {p: 7, n: 1, d: 1, j: 1, k: 5}?\n' | b'1/546\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 5, a: 2, w: 2, g: 3}. Give prob of sequence wa.\n' | b'1/33\n' | b'Two letters picked without replacement from {z: 5, a: 2, w: 2, g: 3}. Give prob of sequence wa.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let j(m) = -m**3 - 3*m**2 + 4. Suppose 2*w + 5 + 9 = 0. Let q be j(w). Suppose -q = -11*r + r. Solve 2*n - 6*n = r, -4*h = n - 7 for h.\n' | b'3\n' | b'Let j(m) = -m**3 - 3*m**2 + 4. Suppose 2*w + 5 + 9 = 0. Let q be j(w). Suppose -q = -11*r + r. Solve 2*n - 6*n = r, -4*h = n - 7 for h.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwnwwwwwwnwwnwnznn. What is prob of picking 4 w?\n' | b'11/102\n' | b'Four letters picked without replacement from wwnwwwwwwnwwnwnznn. What is prob of picking 4 w?\n' | b'11/102\n' | deepmind/math_dataset |
b'Simplify (((q**(-2/11)*q)/((q*q*q/(q**(-1)*q)*q)/q))**(-19/2))**(3/34) assuming q is positive.\n' | b'q**(342/187)\n' | b'Simplify (((q**(-2/11)*q)/((q*q*q/(q**(-1)*q)*q)/q))**(-19/2))**(3/34) assuming q is positive.\n' | b'q**(342/187)\n' | deepmind/math_dataset |
b'Let i(h) = -h**2 - 2*h + 12. Suppose -3*u - 6 = 6. Let k be i(u). Solve 0 = -f - 0*f - 3*v + 20, -k*v = f - 25 for f.\n' | b'5\n' | b'Let i(h) = -h**2 - 2*h + 12. Suppose -3*u - 6 = 6. Let k be i(u). Solve 0 = -f - 0*f - 3*v + 20, -k*v = f - 25 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose l - 81 + 7 = 0. Find the second derivative of -186 + l*s**2 + 376 - 189 + 12*s**2 - 101*s wrt s.\n' | b'172\n' | b'Suppose l - 81 + 7 = 0. Find the second derivative of -186 + l*s**2 + 376 - 189 + 12*s**2 - 101*s wrt s.\n' | b'172\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 m, 1 y, and 1 g when four letters picked without replacement from {z: 4, f: 3, l: 2, y: 3, m: 2, g: 4}.\n' | b'2/85\n' | b'Calculate prob of picking 1 f, 1 m, 1 y, and 1 g when four letters picked without replacement from {z: 4, f: 3, l: 2, y: 3, m: 2, g: 4}.\n' | b'2/85\n' | deepmind/math_dataset |
b'Let n(c) = -3*c - 2. Let i(w) = w**2 + w - 8. Let v be i(-4). Suppose 7 + 5 = -2*a. Let q be a/v*36/(-27). Calculate n(q).\n' | b'-8\n' | b'Let n(c) = -3*c - 2. Let i(w) = w**2 + w - 8. Let v be i(-4). Suppose 7 + 5 = -2*a. Let q be a/v*36/(-27). Calculate n(q).\n' | b'-8\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 4, x: 3, j: 2, c: 2, p: 3, i: 1}. Give prob of sequence xjy.\n' | b'4/455\n' | b'Three letters picked without replacement from {y: 4, x: 3, j: 2, c: 2, p: 3, i: 1}. Give prob of sequence xjy.\n' | b'4/455\n' | deepmind/math_dataset |
b'Calculate prob of sequence sx when two letters picked without replacement from sshsssbxsssshss.\n' | b'11/210\n' | b'Calculate prob of sequence sx when two letters picked without replacement from sshsssbxsssshss.\n' | b'11/210\n' | deepmind/math_dataset |
b'Suppose 6 = 2*c, 0*l - 4*c + 8 = 2*l. Let j be 0 + 0 - 0/l. Suppose -r - 4*r + 12 = 4*s, j = 5*r - s + 3. Solve r = 5*v + o + 15, 4*v + 0*o = 5*o + 17 for v.\n' | b'-2\n' | b'Suppose 6 = 2*c, 0*l - 4*c + 8 = 2*l. Let j be 0 + 0 - 0/l. Suppose -r - 4*r + 12 = 4*s, j = 5*r - s + 3. Solve r = 5*v + o + 15, 4*v + 0*o = 5*o + 17 for v.\n' | b'-2\n' | deepmind/math_dataset |
b'Let h(k) = -3*k + 6. Let d(y) = 2*y - 5. Let n(w) = -2*d(w) - 3*h(w). Find the first derivative of n(s) wrt s.\n' | b'5\n' | b'Let h(k) = -3*k + 6. Let d(y) = 2*y - 5. Let n(w) = -2*d(w) - 3*h(w). Find the first derivative of n(s) wrt s.\n' | b'5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qqsssqfsffs. Give prob of sequence fq.\n' | b'9/110\n' | b'Two letters picked without replacement from qqsssqfsffs. Give prob of sequence fq.\n' | b'9/110\n' | deepmind/math_dataset |
b'Calculate prob of sequence ovn when three letters picked without replacement from {n: 2, o: 7, v: 2}.\n' | b'14/495\n' | b'Calculate prob of sequence ovn when three letters picked without replacement from {n: 2, o: 7, v: 2}.\n' | b'14/495\n' | deepmind/math_dataset |
b'What is prob of picking 2 s and 1 c when three letters picked without replacement from {c: 2, s: 2}?\n' | b'1/2\n' | b'What is prob of picking 2 s and 1 c when three letters picked without replacement from {c: 2, s: 2}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify l**(-3/11)*l**18 assuming l is positive.\n' | b'l**(195/11)\n' | b'Simplify l**(-3/11)*l**18 assuming l is positive.\n' | b'l**(195/11)\n' | deepmind/math_dataset |
b'What is the derivative of -3 - 2*d**3 - d**3 + 5*d**3 wrt d?\n' | b'6*d**2\n' | b'What is the derivative of -3 - 2*d**3 - d**3 + 5*d**3 wrt d?\n' | b'6*d**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 2 w when three letters picked without replacement from {x: 4, s: 2, w: 4}?\n' | b'1/10\n' | b'What is prob of picking 1 s and 2 w when three letters picked without replacement from {x: 4, s: 2, w: 4}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let c(t) = t. Let w = 183 - 179. Let q(g) = 6*g - 32. Let n(m) = w*c(m) - q(m). Calculate n(14).\n' | b'4\n' | b'Let c(t) = t. Let w = 183 - 179. Let q(g) = 6*g - 32. Let n(m) = w*c(m) - q(m). Calculate n(14).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lclcccc. Give prob of picking 3 l.\n' | b'0\n' | b'Three letters picked without replacement from lclcccc. Give prob of picking 3 l.\n' | b'0\n' | deepmind/math_dataset |
b'Let c(f) = -42*f - 36. Let n be c(3). Let s = n - -167. Suppose -i - 2*i + 6 = 0. Solve 0 = -3*t + 2*l - 2, s = i*t + 5*l for t.\n' | b'0\n' | b'Let c(f) = -42*f - 36. Let n be c(3). Let s = n - -167. Suppose -i - 2*i + 6 = 0. Solve 0 = -3*t + 2*l - 2, s = i*t + 5*l for t.\n' | b'0\n' | deepmind/math_dataset |
b'Let i(h) be the first derivative of 5*h**7/42 - 8*h**3/3 + 13*h + 7. Let c(m) be the first derivative of i(m). What is the second derivative of c(d) wrt d?\n' | b'100*d**3\n' | b'Let i(h) be the first derivative of 5*h**7/42 - 8*h**3/3 + 13*h + 7. Let c(m) be the first derivative of i(m). What is the second derivative of c(d) wrt d?\n' | b'100*d**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 3, v: 12}. What is prob of picking 2 n?\n' | b'1/35\n' | b'Two letters picked without replacement from {n: 3, v: 12}. What is prob of picking 2 n?\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (((((c*(c**(-1)*c)/c)/c)/c)/c)/c)**(-21)*c**(-7)*c**(-1)/c assuming c is positive.\n' | b'c**75\n' | b'Simplify (((((c*(c**(-1)*c)/c)/c)/c)/c)/c)**(-21)*c**(-7)*c**(-1)/c assuming c is positive.\n' | b'c**75\n' | deepmind/math_dataset |
b'Simplify (t*t/(t/t**(-27))*t*t)**(-36)*(t**(-18))**(-1/21) assuming t is positive.\n' | b't**(6054/7)\n' | b'Simplify (t*t/(t/t**(-27))*t*t)**(-36)*(t**(-18))**(-1/21) assuming t is positive.\n' | b't**(6054/7)\n' | deepmind/math_dataset |
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