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'Suppose -10 = -2*m + 10. Let z = 15 - m. Solve -z*h + 3*a = 8, 4*h + 0*a + 5*a = -36 for h.\n' | b'-4\n' | b'Suppose -10 = -2*m + 10. Let z = 15 - m. Solve -z*h + 3*a = 8, 4*h + 0*a + 5*a = -36 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Let x(m) = -2*m**2 + 13*m + 3. Let r(p) = -2*p**2 + 16*p + 4. Let i(l) = -2*r(l) + 3*x(l). What is i(6)?\n' | b'-29\n' | b'Let x(m) = -2*m**2 + 13*m + 3. Let r(p) = -2*p**2 + 16*p + 4. Let i(l) = -2*r(l) + 3*x(l). What is i(6)?\n' | b'-29\n' | deepmind/math_dataset |
b'Simplify (o*o**(5/2)*o*o)/o**(-4/7)*(o/o**(2/13))**(-11) assuming o is positive.\n' | b'o**(-589/182)\n' | b'Simplify (o*o**(5/2)*o*o)/o**(-4/7)*(o/o**(2/13))**(-11) assuming o is positive.\n' | b'o**(-589/182)\n' | deepmind/math_dataset |
b'Let m(v) = -v - 4. Let k(u) = -2*u**2 + 21*u + 29. Let j(r) = r + 1. Let s(o) = 4*j(o) - k(o). Let t be s(10). Give m(t).\n' | b'-9\n' | b'Let m(v) = -v - 4. Let k(u) = -2*u**2 + 21*u + 29. Let j(r) = r + 1. Let s(o) = 4*j(o) - k(o). Let t be s(10). Give m(t).\n' | b'-9\n' | deepmind/math_dataset |
b'Let l(b) = -31*b**2 + 71 + 4*b + 0*b - 220 + 0*b. Let a(s) = 2*s**2 - s - 2. Let d(g) = -4*a(g) - l(g). Differentiate d(j) wrt j.\n' | b'46*j\n' | b'Let l(b) = -31*b**2 + 71 + 4*b + 0*b - 220 + 0*b. Let a(s) = 2*s**2 - s - 2. Let d(g) = -4*a(g) - l(g). Differentiate d(j) wrt j.\n' | b'46*j\n' | deepmind/math_dataset |
b'Let g(d) = -3*d - 37. Let y be g(-12). Let q be 24 + -1*1/y. Find the third derivative of q*h**4 + 216*h**3 - 216*h**3 + 12*h**2 wrt h.\n' | b'600*h\n' | b'Let g(d) = -3*d - 37. Let y be g(-12). Let q be 24 + -1*1/y. Find the third derivative of q*h**4 + 216*h**3 - 216*h**3 + 12*h**2 wrt h.\n' | b'600*h\n' | deepmind/math_dataset |
b'Suppose 4 = 2*m - q, 5*m + 5 = -0*m - 5*q. Let t(u) be the third derivative of 7*u**6/120 + u**2. What is t(m)?\n' | b'7\n' | b'Suppose 4 = 2*m - q, 5*m + 5 = -0*m - 5*q. Let t(u) be the third derivative of 7*u**6/120 + u**2. What is t(m)?\n' | b'7\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 1 h, and 2 k when four letters picked without replacement from {i: 1, q: 9, h: 6, k: 2}?\n' | b'3/170\n' | b'What is prob of picking 1 q, 1 h, and 2 k when four letters picked without replacement from {i: 1, q: 9, h: 6, k: 2}?\n' | b'3/170\n' | deepmind/math_dataset |
b'Let o = -2 - -5. Suppose l - 16 = -l + o*x, l - 3*x = 14. What is the second derivative of 2*r**2 - r + 4*r**l - 7*r - 4*r**2 wrt r?\n' | b'4\n' | b'Let o = -2 - -5. Suppose l - 16 = -l + o*x, l - 3*x = 14. What is the second derivative of 2*r**2 - r + 4*r**l - 7*r - 4*r**2 wrt r?\n' | b'4\n' | deepmind/math_dataset |
b'Let t be (-4)/2 - 6*-1. Find the second derivative of 44*c**t + 13*c - 3*c - 48*c**4 wrt c.\n' | b'-48*c**2\n' | b'Let t be (-4)/2 - 6*-1. Find the second derivative of 44*c**t + 13*c - 3*c - 48*c**4 wrt c.\n' | b'-48*c**2\n' | deepmind/math_dataset |
b'Simplify ((z*(z/(z*z/z**19))/z)/z*z)/(z*z**(-18)) assuming z is positive.\n' | b'z**35\n' | b'Simplify ((z*(z/(z*z/z**19))/z)/z*z)/(z*z**(-18)) assuming z is positive.\n' | b'z**35\n' | deepmind/math_dataset |
b'Let i(y) be the first derivative of y**5/20 - 5*y**4/6 - 7*y**3/3 - 15*y**2/2 + 22*y + 147. Let z(r) be the first derivative of i(r). Determine z(11).\n' | b'-48\n' | b'Let i(y) be the first derivative of y**5/20 - 5*y**4/6 - 7*y**3/3 - 15*y**2/2 + 22*y + 147. Let z(r) be the first derivative of i(r). Determine z(11).\n' | b'-48\n' | deepmind/math_dataset |
b'Suppose -15 = 5*j - 8*j. Suppose 0 = j*q - 15 - 5. Solve 0 = s + w + 5, -s - q*w - 20 = s for s.\n' | b'0\n' | b'Suppose -15 = 5*j - 8*j. Suppose 0 = j*q - 15 - 5. Solve 0 = s + w + 5, -s - q*w - 20 = s for s.\n' | b'0\n' | deepmind/math_dataset |
b'Let q = -3 + 2. Let y be q*37/(0 - 1). Let g be (-6)/21 - y/(-7). Solve 2*z + 2*n + 0*n = -10, -n - g = 0 for z.\n' | b'0\n' | b'Let q = -3 + 2. Let y be q*37/(0 - 1). Let g be (-6)/21 - y/(-7). Solve 2*z + 2*n + 0*n = -10, -n - g = 0 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let p = 8 - 6. Let j = p + 1. Suppose -3 = -i - 8*f + 4*f, 0 = j*i - 3*f - 9. Solve 4*b + 5*k = -5, -i*b + 0*k + 4*k - 27 = 0 for b.\n' | b'-5\n' | b'Let p = 8 - 6. Let j = p + 1. Suppose -3 = -i - 8*f + 4*f, 0 = j*i - 3*f - 9. Solve 4*b + 5*k = -5, -i*b + 0*k + 4*k - 27 = 0 for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 3 e when four letters picked without replacement from {n: 1, s: 4, b: 2, q: 2, e: 10}.\n' | b'20/323\n' | b'Calculate prob of picking 1 b and 3 e when four letters picked without replacement from {n: 1, s: 4, b: 2, q: 2, e: 10}.\n' | b'20/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 3, t: 3}. Give prob of picking 2 t and 2 h.\n' | b'3/5\n' | b'Four letters picked without replacement from {h: 3, t: 3}. Give prob of picking 2 t and 2 h.\n' | b'3/5\n' | deepmind/math_dataset |
b'Let o(j) = j**2 + 6*j + 1. Suppose 8*k - 3*k + 20 = 0. Give o(k).\n' | b'-7\n' | b'Let o(j) = j**2 + 6*j + 1. Suppose 8*k - 3*k + 20 = 0. Give o(k).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 3, p: 1, u: 3, n: 3}. What is prob of sequence lnll?\n' | b'1/280\n' | b'Four letters picked without replacement from {l: 3, p: 1, u: 3, n: 3}. What is prob of sequence lnll?\n' | b'1/280\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 1, o: 4, a: 12, r: 2}. What is prob of sequence roa?\n' | b'16/969\n' | b'Three letters picked without replacement from {y: 1, o: 4, a: 12, r: 2}. What is prob of sequence roa?\n' | b'16/969\n' | deepmind/math_dataset |
b'Simplify b**9/(b/b**(3/13)*b) assuming b is positive.\n' | b'b**(94/13)\n' | b'Simplify b**9/(b/b**(3/13)*b) assuming b is positive.\n' | b'b**(94/13)\n' | deepmind/math_dataset |
b'Simplify ((p**(5/6))**47)**42 assuming p is positive.\n' | b'p**1645\n' | b'Simplify ((p**(5/6))**47)**42 assuming p is positive.\n' | b'p**1645\n' | deepmind/math_dataset |
b'Calculate prob of sequence kk when two letters picked without replacement from cskrkskdkd.\n' | b'2/15\n' | b'Calculate prob of sequence kk when two letters picked without replacement from cskrkskdkd.\n' | b'2/15\n' | deepmind/math_dataset |
b'Let t = -19 + 17. Let k(m) = -7*m**2 + 4*m**2 - 5*m + 0*m**2 - 2 + 2*m**2. What is k(t)?\n' | b'4\n' | b'Let t = -19 + 17. Let k(m) = -7*m**2 + 4*m**2 - 5*m + 0*m**2 - 2 + 2*m**2. What is k(t)?\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence ppth when four letters picked without replacement from ttshqthhpttttttsppts?\n' | b'1/646\n' | b'What is prob of sequence ppth when four letters picked without replacement from ttshqthhpttttttsppts?\n' | b'1/646\n' | deepmind/math_dataset |
b'Simplify (k**21)**(-11)/((k*k**10)/(k/(k/k**13))) assuming k is positive.\n' | b'k**(-229)\n' | b'Simplify (k**21)**(-11)/((k*k**10)/(k/(k/k**13))) assuming k is positive.\n' | b'k**(-229)\n' | deepmind/math_dataset |
b'Suppose -28 - 2436 = -7*y. Let z = y + -349. Solve -r - 2*s + s + z = 0, -5*r = -s - 21 for r.\n' | b'4\n' | b'Suppose -28 - 2436 = -7*y. Let z = y + -349. Solve -r - 2*s + s + z = 0, -5*r = -s - 21 for r.\n' | b'4\n' | deepmind/math_dataset |
b'Let d(f) = 2*f + 1. Let r(k) = -2*k**3 + 2*k**2 - 2*k + 1. Suppose 0 = 4*i, -u + i + 1 = 4*i. Let p be r(u). Give d(p).\n' | b'-1\n' | b'Let d(f) = 2*f + 1. Let r(k) = -2*k**3 + 2*k**2 - 2*k + 1. Suppose 0 = 4*i, -u + i + 1 = 4*i. Let p be r(u). Give d(p).\n' | b'-1\n' | deepmind/math_dataset |
b'Let q = -523 - -534. Let w(u) = u**2 - 12*u + 19. Let m be w(q). Solve 3*z = -l - m, -9*l + z = -6*l - 6 for l.\n' | b'1\n' | b'Let q = -523 - -534. Let w(u) = u**2 - 12*u + 19. Let m be w(q). Solve 3*z = -l - m, -9*l + z = -6*l - 6 for l.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((y**1/(y/((y*((y/(y*((y**1/y)/y)/y))/y)/y)/y)))**32)**(46/3) assuming y is positive.\n' | b'1\n' | b'Simplify ((y**1/(y/((y*((y/(y*((y**1/y)/y)/y))/y)/y)/y)))**32)**(46/3) assuming y is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence se when two letters picked without replacement from {e: 2, s: 4}.\n' | b'4/15\n' | b'Calculate prob of sequence se when two letters picked without replacement from {e: 2, s: 4}.\n' | b'4/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence eggk when four letters picked without replacement from {k: 1, o: 1, g: 2, e: 1}.\n' | b'1/60\n' | b'Calculate prob of sequence eggk when four letters picked without replacement from {k: 1, o: 1, g: 2, e: 1}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify (v**(-2/7))**24/(v*v**(1/4)*v*v**(-2/7))*v**8/((v*v**8/v*v)/v)*(v*v**4)/(((v*v**(-2))/v)/v) assuming v is positive.\n' | b'v**(-23/28)\n' | b'Simplify (v**(-2/7))**24/(v*v**(1/4)*v*v**(-2/7))*v**8/((v*v**8/v*v)/v)*(v*v**4)/(((v*v**(-2))/v)/v) assuming v is positive.\n' | b'v**(-23/28)\n' | deepmind/math_dataset |
b'Let d(w) = 3*w**2 - 77*w + 52. Let t be d(25). What is the second derivative of 33 - 69 + 209*r + 22*r**t + 36 + 12*r**2 wrt r?\n' | b'68\n' | b'Let d(w) = 3*w**2 - 77*w + 52. Let t be d(25). What is the second derivative of 33 - 69 + 209*r + 22*r**t + 36 + 12*r**2 wrt r?\n' | b'68\n' | deepmind/math_dataset |
b'Calculate prob of sequence su when two letters picked without replacement from dgwwgwwswswwswsswu.\n' | b'5/306\n' | b'Calculate prob of sequence su when two letters picked without replacement from dgwwgwwswswwswsswu.\n' | b'5/306\n' | deepmind/math_dataset |
b'Calculate prob of sequence hdph when four letters picked without replacement from {h: 5, d: 4, p: 2}.\n' | b'2/99\n' | b'Calculate prob of sequence hdph when four letters picked without replacement from {h: 5, d: 4, p: 2}.\n' | b'2/99\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 3, z: 1, w: 1}. What is prob of sequence nnw?\n' | b'1/10\n' | b'Three letters picked without replacement from {n: 3, z: 1, w: 1}. What is prob of sequence nnw?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 6, u: 4}. What is prob of picking 1 q and 1 u?\n' | b'8/15\n' | b'Two letters picked without replacement from {q: 6, u: 4}. What is prob of picking 1 q and 1 u?\n' | b'8/15\n' | deepmind/math_dataset |
b'Simplify (u**(-8)*u*u*(u*u*u*u**(-5)*u)/u)**13 assuming u is positive.\n' | b'u**(-104)\n' | b'Simplify (u**(-8)*u*u*(u*u*u*u**(-5)*u)/u)**13 assuming u is positive.\n' | b'u**(-104)\n' | deepmind/math_dataset |
b'Let v(y) = 9*y - 15. Let p(r) = 4*r - 7. Let j(o) = 7*p(o) - 3*v(o). Give j(6).\n' | b'2\n' | b'Let v(y) = 9*y - 15. Let p(r) = 4*r - 7. Let j(o) = 7*p(o) - 3*v(o). Give j(6).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 2 p, and 1 c when four letters picked without replacement from apcpaaacpacaapc?\n' | b'8/65\n' | b'What is prob of picking 1 a, 2 p, and 1 c when four letters picked without replacement from apcpaaacpacaapc?\n' | b'8/65\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 3}. Give prob of sequence zz.\n' | b'1\n' | b'Two letters picked without replacement from {z: 3}. Give prob of sequence zz.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yjbbbbywwbbbbwwjw. What is prob of sequence by?\n' | b'1/17\n' | b'Two letters picked without replacement from yjbbbbywwbbbbwwjw. What is prob of sequence by?\n' | b'1/17\n' | deepmind/math_dataset |
b'Let t be (1/((-2)/(-30)))/1. Solve 4*x = 4*m - 24, 3*x + t = -0 for m.\n' | b'1\n' | b'Let t be (1/((-2)/(-30)))/1. Solve 4*x = 4*m - 24, 3*x + t = -0 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(n) = -5*n - 48. Let r be v(-17). Let w = r + -35. What is the derivative of 39 + 48*h**2 + h**3 - 48*h**w wrt h?\n' | b'3*h**2\n' | b'Let v(n) = -5*n - 48. Let r be v(-17). Let w = r + -35. What is the derivative of 39 + 48*h**2 + h**3 - 48*h**w wrt h?\n' | b'3*h**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wipiwj. What is prob of sequence pi?\n' | b'1/15\n' | b'Two letters picked without replacement from wipiwj. What is prob of sequence pi?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let i(l) = -l**4 - l - 43*l**3 + 43*l**3. Let t(v) = -8*v**4 - 57*v - 2. Let o(h) = 3*i(h) - t(h). What is the second derivative of o(a) wrt a?\n' | b'60*a**2\n' | b'Let i(l) = -l**4 - l - 43*l**3 + 43*l**3. Let t(v) = -8*v**4 - 57*v - 2. Let o(h) = 3*i(h) - t(h). What is the second derivative of o(a) wrt a?\n' | b'60*a**2\n' | deepmind/math_dataset |
b'Let b(a) = a + 6. Let z(f) = 1. Let u be 12/(-3) - (-3 + 0). Let j(w) = u*b(w) + 3*z(w). Let g be j(-4). Solve c + v + g = 0, -5*c - 3 = -2*c - 3*v for c.\n' | b'-1\n' | b'Let b(a) = a + 6. Let z(f) = 1. Let u be 12/(-3) - (-3 + 0). Let j(w) = u*b(w) + 3*z(w). Let g be j(-4). Solve c + v + g = 0, -5*c - 3 = -2*c - 3*v for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Let d(p) be the third derivative of 0*p**3 - 2*p**2 + 1/6*p**4 + 1/720*p**6 + 0 - 1/20*p**5 + 0*p. Let a(o) be the second derivative of d(o). What is a(0)?\n' | b'-6\n' | b'Let d(p) be the third derivative of 0*p**3 - 2*p**2 + 1/6*p**4 + 1/720*p**6 + 0 - 1/20*p**5 + 0*p. Let a(o) be the second derivative of d(o). What is a(0)?\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 2*t - 5*i = -55, 24 + 44 = -4*t - 4*i. Let a = -15 - t. Let m(q) = -36*q - 207. Let c be m(-6). Solve 2*p = -3*d + c, -a*p + 2*d - 7 - 18 = 0 for p.\n' | b'-3\n' | b'Suppose 2*t - 5*i = -55, 24 + 44 = -4*t - 4*i. Let a = -15 - t. Let m(q) = -36*q - 207. Let c be m(-6). Solve 2*p = -3*d + c, -a*p + 2*d - 7 - 18 = 0 for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 1, m: 1, p: 3, s: 6, a: 1, t: 1}. Give prob of sequence tm.\n' | b'1/156\n' | b'Two letters picked without replacement from {c: 1, m: 1, p: 3, s: 6, a: 1, t: 1}. Give prob of sequence tm.\n' | b'1/156\n' | deepmind/math_dataset |
b'Let l(q) be the second derivative of 2*q + 0 + 0*q**2 + 1/3*q**3. What is l(6)?\n' | b'12\n' | b'Let l(q) be the second derivative of 2*q + 0 + 0*q**2 + 1/3*q**3. What is l(6)?\n' | b'12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iggiggiggg. Give prob of picking 2 i.\n' | b'1/15\n' | b'Two letters picked without replacement from iggiggiggg. Give prob of picking 2 i.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 3 s when three letters picked without replacement from qsqsqqsissqqq?\n' | b'5/143\n' | b'What is prob of picking 3 s when three letters picked without replacement from qsqsqqsissqqq?\n' | b'5/143\n' | deepmind/math_dataset |
b'Simplify (j/j**(2/5)*j*j**(7/4)/j)/(j/((j/(j*j**(1/3)))/j))**(-42)*(j/((j**(1/8)*j)/j)*j*j*j/(j/(j/(j/(j*j*j**(1/6))*j))))**25 assuming j is positive.\n' | b'j**(24167/120)\n' | b'Simplify (j/j**(2/5)*j*j**(7/4)/j)/(j/((j/(j*j**(1/3)))/j))**(-42)*(j/((j**(1/8)*j)/j)*j*j*j/(j/(j/(j/(j*j*j**(1/6))*j))))**25 assuming j is positive.\n' | b'j**(24167/120)\n' | deepmind/math_dataset |
b'Simplify (q*q/(q*q*q**(-2)))**28/(q*q*q*q/(((q**(-1)/q)/q)/q*q)*q)**(2/87) assuming q is positive.\n' | b'q**(4856/87)\n' | b'Simplify (q*q/(q*q*q**(-2)))**28/(q*q*q*q/(((q**(-1)/q)/q)/q*q)*q)**(2/87) assuming q is positive.\n' | b'q**(4856/87)\n' | deepmind/math_dataset |
b'Let u(t) = -14*t + 483. Let g be u(34). Solve -11 = 4*n - 3*w, 30 - g = -4*n - w for n.\n' | b'-5\n' | b'Let u(t) = -14*t + 483. Let g be u(34). Solve -11 = 4*n - 3*w, 30 - g = -4*n - w for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -54*f + 47*f + 14. Solve 0 = 2*l + f*l + 3*z - 10, -3*z - 10 = -l for l.\n' | b'4\n' | b'Suppose 0 = -54*f + 47*f + 14. Solve 0 = 2*l + f*l + 3*z - 10, -3*z - 10 = -l for l.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 1 r, and 2 q when four letters picked without replacement from {r: 7, b: 1, q: 5}.\n' | b'14/143\n' | b'Calculate prob of picking 1 b, 1 r, and 2 q when four letters picked without replacement from {r: 7, b: 1, q: 5}.\n' | b'14/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 3, k: 13}. Give prob of picking 1 u and 3 k.\n' | b'33/70\n' | b'Four letters picked without replacement from {u: 3, k: 13}. Give prob of picking 1 u and 3 k.\n' | b'33/70\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, d: 2, o: 1, z: 1, g: 2, c: 1}. What is prob of picking 1 g and 1 u?\n' | b'1/14\n' | b'Two letters picked without replacement from {u: 1, d: 2, o: 1, z: 1, g: 2, c: 1}. What is prob of picking 1 g and 1 u?\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -h = -5*x + 9 + 1, 4*h = -5*x + 35. Solve h = -2*r + 3*r + 5*d, 2 = 4*r + 2*d for r.\n' | b'0\n' | b'Suppose -h = -5*x + 9 + 1, 4*h = -5*x + 35. Solve h = -2*r + 3*r + 5*d, 2 = 4*r + 2*d for r.\n' | b'0\n' | deepmind/math_dataset |
b'Let s be ((-8)/(-10))/((-48)/(-21000)*25). Solve 0 = -3*l - i + 3 - 2, 2*i + s = 2*l for l.\n' | b'2\n' | b'Let s be ((-8)/(-10))/((-48)/(-21000)*25). Solve 0 = -3*l - i + 3 - 2, 2*i + s = 2*l for l.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 5*d - 29 = -4. Solve -d = -5*t + 4*s + 3, s = -5*t - 2 for t.\n' | b'0\n' | b'Suppose 5*d - 29 = -4. Solve -d = -5*t + 4*s + 3, s = -5*t - 2 for t.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence lx when two letters picked without replacement from ltqjtqtqttlttlxqttt?\n' | b'1/114\n' | b'What is prob of sequence lx when two letters picked without replacement from ltqjtqtqttlttlxqttt?\n' | b'1/114\n' | deepmind/math_dataset |
b'Let i(m) = -m**2 - 26*m - 59. Let a be i(-24). Let q be (1 + -1*1)*a/22. Solve 5*g = -3*b + b + 9, b - g - 1 = q for b.\n' | b'2\n' | b'Let i(m) = -m**2 - 26*m - 59. Let a be i(-24). Let q be (1 + -1*1)*a/22. Solve 5*g = -3*b + b + 9, b - g - 1 = q for b.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence eeee when four letters picked without replacement from eeeeeeeeee?\n' | b'1\n' | b'What is prob of sequence eeee when four letters picked without replacement from eeeeeeeeee?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -5 = 5*j - 3*f - 12, -2*j - 4*f + 34 = 0. Let z(s) = 31*s - 151. Give z(j).\n' | b'4\n' | b'Suppose -5 = 5*j - 3*f - 12, -2*j - 4*f + 34 = 0. Let z(s) = 31*s - 151. Give z(j).\n' | b'4\n' | deepmind/math_dataset |
b'Let p(k) = 14*k**3 + 29*k**2 + 17*k - 21. Let t(c) = -5*c**3 - 10*c**2 - 6*c + 7. Let o(q) = 4*p(q) + 11*t(q). Give o(-5).\n' | b'8\n' | b'Let p(k) = 14*k**3 + 29*k**2 + 17*k - 21. Let t(c) = -5*c**3 - 10*c**2 - 6*c + 7. Let o(q) = 4*p(q) + 11*t(q). Give o(-5).\n' | b'8\n' | deepmind/math_dataset |
b'Let l(q) = -q**3 + 10*q**2 + 10*q + 12. Let j be l(11). Find the second derivative of -14*r**2 + 15*r**2 - 119*r**2 + 44*r + j + 0 wrt r.\n' | b'-236\n' | b'Let l(q) = -q**3 + 10*q**2 + 10*q + 12. Let j be l(11). Find the second derivative of -14*r**2 + 15*r**2 - 119*r**2 + 44*r + j + 0 wrt r.\n' | b'-236\n' | deepmind/math_dataset |
b'Let u(d) = 6*d - d**2 - 2*d - 1 + d. Let s be (-40)/(-12) - (16/3 + -6). Give u(s).\n' | b'3\n' | b'Let u(d) = 6*d - d**2 - 2*d - 1 + d. Let s be (-40)/(-12) - (16/3 + -6). Give u(s).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, w: 5, f: 5, l: 3, n: 1}. What is prob of sequence fwl?\n' | b'5/182\n' | b'Three letters picked without replacement from {i: 1, w: 5, f: 5, l: 3, n: 1}. What is prob of sequence fwl?\n' | b'5/182\n' | deepmind/math_dataset |
b'Let m(n) = -4117*n**3 - 7*n**2 + 98*n + 2066. Let w(h) = 4116*h**3 + 6*h**2 - 84*h - 2068. Let u(t) = 6*m(t) + 7*w(t). Differentiate u(j) with respect to j.\n' | b'12330*j**2\n' | b'Let m(n) = -4117*n**3 - 7*n**2 + 98*n + 2066. Let w(h) = 4116*h**3 + 6*h**2 - 84*h - 2068. Let u(t) = 6*m(t) + 7*w(t). Differentiate u(j) with respect to j.\n' | b'12330*j**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ryqe when four letters picked without replacement from mmmrqmyyyeyyseeyyee.\n' | b'35/93024\n' | b'Calculate prob of sequence ryqe when four letters picked without replacement from mmmrqmyyyeyyseeyyee.\n' | b'35/93024\n' | deepmind/math_dataset |
b'Suppose 6*o - 3*o - 20 = -5*z, -2*z + 2 = 0. Find the third derivative of -2*b**o + 5*b**4 - 764*b**2 + 19*b**4 - b**4 + 1044*b**2 wrt b.\n' | b'-120*b**2 + 552*b\n' | b'Suppose 6*o - 3*o - 20 = -5*z, -2*z + 2 = 0. Find the third derivative of -2*b**o + 5*b**4 - 764*b**2 + 19*b**4 - b**4 + 1044*b**2 wrt b.\n' | b'-120*b**2 + 552*b\n' | deepmind/math_dataset |
b'Let z(o) = -2*o + 22. Let m be z(9). Solve i - 2 = -2*x + x, -m*i = 3*x - 5 for i.\n' | b'-1\n' | b'Let z(o) = -2*o + 22. Let m be z(9). Solve i - 2 = -2*x + x, -m*i = 3*x - 5 for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 5, a: 2, j: 11, l: 1}. What is prob of picking 1 n, 1 a, and 1 j?\n' | b'110/969\n' | b'Three letters picked without replacement from {n: 5, a: 2, j: 11, l: 1}. What is prob of picking 1 n, 1 a, and 1 j?\n' | b'110/969\n' | deepmind/math_dataset |
b'Let i(a) = 3*a + 38. Let v be i(-11). What is the third derivative of 3*x**5 + 4*x**5 + 24*x**2 + v*x**2 wrt x?\n' | b'420*x**2\n' | b'Let i(a) = 3*a + 38. Let v be i(-11). What is the third derivative of 3*x**5 + 4*x**5 + 24*x**2 + v*x**2 wrt x?\n' | b'420*x**2\n' | deepmind/math_dataset |
b'Let c = 535/408 + 3/136. Let f(i) be the first derivative of 2 - i**2 - 1/4*i**4 + i - c*i**3. Calculate f(-2).\n' | b'-3\n' | b'Let c = 535/408 + 3/136. Let f(i) be the first derivative of 2 - i**2 - 1/4*i**4 + i - c*i**3. Calculate f(-2).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify s*s*s**(-10/7)*s*s**(2/31)*(s/(s/((s**(-8/7)/s*s)/s*s)))/(s*s**4/s) assuming s is positive.\n' | b's**(-761/217)\n' | b'Simplify s*s*s**(-10/7)*s*s**(2/31)*(s/(s/((s**(-8/7)/s*s)/s*s)))/(s*s**4/s) assuming s is positive.\n' | b's**(-761/217)\n' | deepmind/math_dataset |
b'Calculate prob of sequence xcyx when four letters picked without replacement from {y: 5, c: 2, x: 2}.\n' | b'5/756\n' | b'Calculate prob of sequence xcyx when four letters picked without replacement from {y: 5, c: 2, x: 2}.\n' | b'5/756\n' | deepmind/math_dataset |
b'Simplify ((b*b**(-2)/b)**(5/13))**17 assuming b is positive.\n' | b'b**(-170/13)\n' | b'Simplify ((b*b**(-2)/b)**(5/13))**17 assuming b is positive.\n' | b'b**(-170/13)\n' | deepmind/math_dataset |
b'Let h(w) = -6*w**2 - 4*w - 16. Let q(l) = -2*l**2 + 3*l - 1. Let v(j) = h(j) - 4*q(j). Determine v(9).\n' | b'6\n' | b'Let h(w) = -6*w**2 - 4*w - 16. Let q(l) = -2*l**2 + 3*l - 1. Let v(j) = h(j) - 4*q(j). Determine v(9).\n' | b'6\n' | deepmind/math_dataset |
b'Let k(s) be the first derivative of s**6/72 - 3*s**4/8 - s**3/3 - 18. Let x(n) be the third derivative of k(n). Differentiate x(q) wrt q.\n' | b'10*q\n' | b'Let k(s) be the first derivative of s**6/72 - 3*s**4/8 - s**3/3 - 18. Let x(n) be the third derivative of k(n). Differentiate x(q) wrt q.\n' | b'10*q\n' | deepmind/math_dataset |
b'Let z be (-1)/(-2) + (-1)/(-2). Let u(b) = -2*b**2 - z - 2*b - 1 - 2 + 3. What is u(-1)?\n' | b'-1\n' | b'Let z be (-1)/(-2) + (-1)/(-2). Let u(b) = -2*b**2 - z - 2*b - 1 - 2 + 3. What is u(-1)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let u(y) = -y**3 + 5*y**2 + 9*y - 12. Let a(m) = 5*m**3 - 24*m**2 - 45*m + 61. Let w(v) = 2*a(v) + 11*u(v). Let i(k) = 1239*k - 2470. Let t be i(2). Give w(t).\n' | b'-2\n' | b'Let u(y) = -y**3 + 5*y**2 + 9*y - 12. Let a(m) = 5*m**3 - 24*m**2 - 45*m + 61. Let w(v) = 2*a(v) + 11*u(v). Let i(k) = 1239*k - 2470. Let t be i(2). Give w(t).\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 8, o: 2, j: 2, f: 2, r: 3}. Give prob of sequence jr.\n' | b'3/136\n' | b'Two letters picked without replacement from {k: 8, o: 2, j: 2, f: 2, r: 3}. Give prob of sequence jr.\n' | b'3/136\n' | deepmind/math_dataset |
b'What is prob of sequence axx when three letters picked without replacement from {x: 3, h: 1, a: 1}?\n' | b'1/10\n' | b'What is prob of sequence axx when three letters picked without replacement from {x: 3, h: 1, a: 1}?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let y(h) = -h**2 + 5*h + 5. Let n be y(7). Suppose -139*g - 12 = -145*g. Let t(w) = -w**2 + g*w - w**3 + 13 - 5*w**3 + 7*w**3 + 10*w**2. What is t(n)?\n' | b'-5\n' | b'Let y(h) = -h**2 + 5*h + 5. Let n be y(7). Suppose -139*g - 12 = -145*g. Let t(w) = -w**2 + g*w - w**3 + 13 - 5*w**3 + 7*w**3 + 10*w**2. What is t(n)?\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((q**10*q**(1/15))/((q*q/q**(-2/11))/(q**7*q)))**(-7) assuming q is positive.\n' | b'q**(-18347/165)\n' | b'Simplify ((q**10*q**(1/15))/((q*q/q**(-2/11))/(q**7*q)))**(-7) assuming q is positive.\n' | b'q**(-18347/165)\n' | deepmind/math_dataset |
b'Let o(i) = 2*i**2 - 173 + 2*i + 84 + 92. Determine o(-3).\n' | b'15\n' | b'Let o(i) = 2*i**2 - 173 + 2*i + 84 + 92. Determine o(-3).\n' | b'15\n' | deepmind/math_dataset |
b'Let z(q) = -3*q**2 + q**2 + 5*q**2 + 4*q - 2*q**2 + 5. Determine z(-4).\n' | b'5\n' | b'Let z(q) = -3*q**2 + q**2 + 5*q**2 + 4*q - 2*q**2 + 5. Determine z(-4).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 16, y: 4}. Give prob of sequence mmyy.\n' | b'8/323\n' | b'Four letters picked without replacement from {m: 16, y: 4}. Give prob of sequence mmyy.\n' | b'8/323\n' | deepmind/math_dataset |
b'Simplify (((i**(-2/5)*i)/i)/i)/(i/((i/i**(4/9)*i)/i))*i**(-4)/i**(-4)*(i**(-1/5)/i*i*i*i*i**(1/2)*i)/(i*i**(-3)*i*i**(3/4)*i) assuming i is positive.\n' | b'i**(127/180)\n' | b'Simplify (((i**(-2/5)*i)/i)/i)/(i/((i/i**(4/9)*i)/i))*i**(-4)/i**(-4)*(i**(-1/5)/i*i*i*i*i**(1/2)*i)/(i*i**(-3)*i*i**(3/4)*i) assuming i is positive.\n' | b'i**(127/180)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from aaaaakkk. What is prob of picking 2 a and 2 k?\n' | b'3/7\n' | b'Four letters picked without replacement from aaaaakkk. What is prob of picking 2 a and 2 k?\n' | b'3/7\n' | deepmind/math_dataset |
b'Let z = 103 - 107. Let k be 28*(2 - (-4)/z). Solve w = -5*y + k, -y - y = 5*w - 25 for y.\n' | b'5\n' | b'Let z = 103 - 107. Let k be 28*(2 - (-4)/z). Solve w = -5*y + k, -y - y = 5*w - 25 for y.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence mh when two letters picked without replacement from {m: 1, h: 1, q: 12}?\n' | b'1/182\n' | b'What is prob of sequence mh when two letters picked without replacement from {m: 1, h: 1, q: 12}?\n' | b'1/182\n' | deepmind/math_dataset |
b'Simplify ((((o/(o/((o*o/(o/(o*o/(o/(o/(o*(o/(o**(-1/2)*o))/o)))))*o*o*o*o)/o)))/o)/o)**(-20))**23 assuming o is positive.\n' | b'o**(-1610)\n' | b'Simplify ((((o/(o/((o*o/(o/(o*o/(o/(o/(o*(o/(o**(-1/2)*o))/o)))))*o*o*o*o)/o)))/o)/o)**(-20))**23 assuming o is positive.\n' | b'o**(-1610)\n' | deepmind/math_dataset |
b'Let r(a) = 0*a - 3*a + 0 - 2. Suppose 4*m = 3*b - 14, 2*m = 5*b + 4 - 18. Give r(b).\n' | b'-8\n' | b'Let r(a) = 0*a - 3*a + 0 - 2. Suppose 4*m = 3*b - 14, 2*m = 5*b + 4 - 18. Give r(b).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose -3*n + 6*n = -2*q - 19, -n = -2*q - 7. Let z be (-28)/q + 2/5. Let f be 34/12 + 2/12. Solve 2*d - 1 + z = -o, 0 = f*d + 6 for o.\n' | b'-1\n' | b'Suppose -3*n + 6*n = -2*q - 19, -n = -2*q - 7. Let z be (-28)/q + 2/5. Let f be 34/12 + 2/12. Solve 2*d - 1 + z = -o, 0 = f*d + 6 for o.\n' | b'-1\n' | deepmind/math_dataset |
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