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 -6*m = -24 - 0. Find the first derivative of -6 - m*h + 47*h**3 + 4*h - 50*h**3 wrt h.\n' | b'-9*h**2\n' | b'Suppose -6*m = -24 - 0. Find the first derivative of -6 - m*h + 47*h**3 + 4*h - 50*h**3 wrt h.\n' | b'-9*h**2\n' | deepmind/math_dataset |
b'Let h = 63 - 55. Suppose -5*d - 3*r + 2 = 38, h = -d - r. Let y(k) = -3*k - 7. What is y(d)?\n' | b'11\n' | b'Let h = 63 - 55. Suppose -5*d - 3*r + 2 = 38, h = -d - r. Let y(k) = -3*k - 7. What is y(d)?\n' | b'11\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 g, and 1 l when three letters picked without replacement from {l: 2, g: 8, t: 5}.\n' | b'16/91\n' | b'Calculate prob of picking 1 t, 1 g, and 1 l when three letters picked without replacement from {l: 2, g: 8, t: 5}.\n' | b'16/91\n' | deepmind/math_dataset |
b'Let o(f) be the second derivative of 38*f**5/15 - f**4/6 - 81*f**2/2 - 5*f. Let w(s) be the first derivative of o(s). Find the second derivative of w(h) wrt h.\n' | b'304\n' | b'Let o(f) be the second derivative of 38*f**5/15 - f**4/6 - 81*f**2/2 - 5*f. Let w(s) be the first derivative of o(s). Find the second derivative of w(h) wrt h.\n' | b'304\n' | deepmind/math_dataset |
b'Suppose -12*x - 2 = 22. Let s(d) = -2*d**3 - 2*d**2 + d. Give s(x).\n' | b'6\n' | b'Suppose -12*x - 2 = 22. Let s(d) = -2*d**3 - 2*d**2 + d. Give s(x).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((f**(6/23)/f)/(f/(f/(f/(f*f**(-29))*f)*f)))**(-34) assuming f is positive.\n' | b'f**(23256/23)\n' | b'Simplify ((f**(6/23)/f)/(f/(f/(f/(f*f**(-29))*f)*f)))**(-34) assuming f is positive.\n' | b'f**(23256/23)\n' | deepmind/math_dataset |
b'Suppose 15 = -4*g + 7. Let x(d) = d - 2. Calculate x(g).\n' | b'-4\n' | b'Suppose 15 = -4*g + 7. Let x(d) = d - 2. Calculate x(g).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 2*d - 5*d + 21 = 0. Suppose -2*g + 3*f - d = 2*g, 0 = 4*g - f - 3. Solve 0*s + 2*s = -4*m - g, 0 = 3*s - 4*m + 23 for s.\n' | b'-5\n' | b'Suppose 2*d - 5*d + 21 = 0. Suppose -2*g + 3*f - d = 2*g, 0 = 4*g - f - 3. Solve 0*s + 2*s = -4*m - g, 0 = 3*s - 4*m + 23 for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 5, p: 3}. Give prob of picking 1 z and 1 p.\n' | b'15/28\n' | b'Two letters picked without replacement from {z: 5, p: 3}. Give prob of picking 1 z and 1 p.\n' | b'15/28\n' | deepmind/math_dataset |
b'Simplify (m**0*m)**7*(m**(-2/13)/m)/(m/(m/m**(-2/13))) assuming m is positive.\n' | b'm**6\n' | b'Simplify (m**0*m)**7*(m**(-2/13)/m)/(m/(m/m**(-2/13))) assuming m is positive.\n' | b'm**6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 3, k: 6, n: 5, r: 1}. Give prob of sequence rzkk.\n' | b'1/364\n' | b'Four letters picked without replacement from {z: 3, k: 6, n: 5, r: 1}. Give prob of sequence rzkk.\n' | b'1/364\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 f when two letters picked without replacement from cqfdffdqcfhjffcfq?\n' | b'21/136\n' | b'What is prob of picking 1 c and 1 f when two letters picked without replacement from cqfdffdqcfhjffcfq?\n' | b'21/136\n' | deepmind/math_dataset |
b'Simplify (t/t**(1/9)*t*t*t**(-4))**(-7)*(t**6*t**(-1/2)/t)**(-28) assuming t is positive.\n' | b't**(-1064/9)\n' | b'Simplify (t/t**(1/9)*t*t*t**(-4))**(-7)*(t**6*t**(-1/2)/t)**(-28) assuming t is positive.\n' | b't**(-1064/9)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zlilllllglllgzllgzgl. What is prob of sequence lz?\n' | b'9/95\n' | b'Two letters picked without replacement from zlilllllglllgzllgzgl. What is prob of sequence lz?\n' | b'9/95\n' | deepmind/math_dataset |
b'Suppose 3*w - 60 = -0*w. Let x = w + -14. Solve -x = 2*n + 4*y, -4*n + 14 + 0 = -5*y for n.\n' | b'1\n' | b'Suppose 3*w - 60 = -0*w. Let x = w + -14. Solve -x = 2*n + 4*y, -4*n + 14 + 0 = -5*y for n.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence jn when two letters picked without replacement from {j: 1, n: 3, r: 2, p: 1, q: 4}.\n' | b'3/110\n' | b'Calculate prob of sequence jn when two letters picked without replacement from {j: 1, n: 3, r: 2, p: 1, q: 4}.\n' | b'3/110\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 1, t: 1, i: 11, j: 4, u: 2, h: 1}. What is prob of sequence izi?\n' | b'11/684\n' | b'Three letters picked without replacement from {z: 1, t: 1, i: 11, j: 4, u: 2, h: 1}. What is prob of sequence izi?\n' | b'11/684\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 i when two letters picked without replacement from jjutjtjiwjwjujjjidwj?\n' | b'1/95\n' | b'What is prob of picking 1 d and 1 i when two letters picked without replacement from jjutjtjiwjwjujjjidwj?\n' | b'1/95\n' | deepmind/math_dataset |
b'Suppose -2*i = 5 + 21. Let l = i - -24. Suppose -8 = -m - m. Solve -z - l = g - m*g, -3*g - 4*z = -31 for g.\n' | b'5\n' | b'Suppose -2*i = 5 + 21. Let l = i - -24. Suppose -8 = -m - m. Solve -z - l = g - m*g, -3*g - 4*z = -31 for g.\n' | b'5\n' | deepmind/math_dataset |
b'Let r(w) = 119*w + 115*w - 236*w. Let k = -3 - -5. Let x = k + -3. Give r(x).\n' | b'2\n' | b'Let r(w) = 119*w + 115*w - 236*w. Let k = -3 - -5. Let x = k + -3. Give r(x).\n' | b'2\n' | deepmind/math_dataset |
b'What is the third derivative of 209*r**2 - 169*r**2 + 6270*r**3 + 289*r**2 + 380*r**2 + 4*r wrt r?\n' | b'37620\n' | b'What is the third derivative of 209*r**2 - 169*r**2 + 6270*r**3 + 289*r**2 + 380*r**2 + 4*r wrt r?\n' | b'37620\n' | deepmind/math_dataset |
b'Simplify (m**1/m)**(-47) assuming m is positive.\n' | b'1\n' | b'Simplify (m**1/m)**(-47) assuming m is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((p**(-12))**(6/19))**27 assuming p is positive.\n' | b'p**(-1944/19)\n' | b'Simplify ((p**(-12))**(6/19))**27 assuming p is positive.\n' | b'p**(-1944/19)\n' | deepmind/math_dataset |
b'Let k(o) = -o**3 - 6*o**2 + 6. Let s(f) = -6 - 209*f**2 + 208*f**2 - 4 - 6*f. Let u be s(-5). Determine k(u).\n' | b'-19\n' | b'Let k(o) = -o**3 - 6*o**2 + 6. Let s(f) = -6 - 209*f**2 + 208*f**2 - 4 - 6*f. Let u be s(-5). Determine k(u).\n' | b'-19\n' | deepmind/math_dataset |
b'Let q = -7 - -10. Suppose -5*l - q*j + 9 = -30, 4*j + 53 = 5*l. Differentiate -l + 2 - 5 - 9*d - 1 wrt d.\n' | b'-9\n' | b'Let q = -7 - -10. Suppose -5*l - q*j + 9 = -30, 4*j + 53 = 5*l. Differentiate -l + 2 - 5 - 9*d - 1 wrt d.\n' | b'-9\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, o: 1, a: 1, t: 2, m: 1, p: 1}.\n' | b'1/28\n' | b'Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, o: 1, a: 1, t: 2, m: 1, p: 1}.\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dddsddddsd. Give prob of sequence ds.\n' | b'8/45\n' | b'Two letters picked without replacement from dddsddddsd. Give prob of sequence ds.\n' | b'8/45\n' | deepmind/math_dataset |
b'Let y(w) = -281*w - 15. Let u(v) = 95*v + 5. Let l(k) = -11*u(k) - 4*y(k). Differentiate l(d) wrt d.\n' | b'79\n' | b'Let y(w) = -281*w - 15. Let u(v) = 95*v + 5. Let l(k) = -11*u(k) - 4*y(k). Differentiate l(d) wrt d.\n' | b'79\n' | deepmind/math_dataset |
b'Suppose -4*p - 23 = 1. Let m(d) be the first derivative of d**2/2 - 5*d - 1408. Give m(p).\n' | b'-11\n' | b'Suppose -4*p - 23 = 1. Let m(d) be the first derivative of d**2/2 - 5*d - 1408. Give m(p).\n' | b'-11\n' | deepmind/math_dataset |
b'Let y be 4/(-10) - ((-192)/30 + -2). Solve 3*m + 2*q = 4, -4*q - y = 2*m - 4*m for m.\n' | b'2\n' | b'Let y be 4/(-10) - ((-192)/30 + -2). Solve 3*m + 2*q = 4, -4*q - y = 2*m - 4*m for m.\n' | b'2\n' | deepmind/math_dataset |
b'Let q(x) = 6*x**2 + 7*x + 9. Let c be q(7). Suppose -5*m + c = 227. Suppose l = -0*l + m. Solve -l = 5*h, 3*t - 2*h - 10 + 0 = 0 for t.\n' | b'0\n' | b'Let q(x) = 6*x**2 + 7*x + 9. Let c be q(7). Suppose -5*m + c = 227. Suppose l = -0*l + m. Solve -l = 5*h, 3*t - 2*h - 10 + 0 = 0 for t.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (v**(6/13)*v/(v/(((v*v**3*v*v)/v*v)/v))*v*v)/(v/(v/(((v*v**4)/v*v)/v)*v)*v**(-5)) assuming v is positive.\n' | b'v**(123/13)\n' | b'Simplify (v**(6/13)*v/(v/(((v*v**3*v*v)/v*v)/v))*v*v)/(v/(v/(((v*v**4)/v*v)/v)*v)*v**(-5)) assuming v is positive.\n' | b'v**(123/13)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uufkfufufk. Give prob of sequence kk.\n' | b'1/45\n' | b'Two letters picked without replacement from uufkfufufk. Give prob of sequence kk.\n' | b'1/45\n' | deepmind/math_dataset |
b'Suppose 2*v + 0 = -4*n + 6, 0 = -v - 4*n + 1. What is the third derivative of -11 - 20*p**6 + 0*p**5 - 3*p**5 + 60*p**2 + 11 + 2*p**v wrt p?\n' | b'-2400*p**3 - 60*p**2\n' | b'Suppose 2*v + 0 = -4*n + 6, 0 = -v - 4*n + 1. What is the third derivative of -11 - 20*p**6 + 0*p**5 - 3*p**5 + 60*p**2 + 11 + 2*p**v wrt p?\n' | b'-2400*p**3 - 60*p**2\n' | deepmind/math_dataset |
b'Let w(r) = -18*r**2 - 2*r - 2. Let d(b) = 11*b**2 + b + 1. Let m(s) = -5*d(s) - 3*w(s). Give m(1).\n' | b'1\n' | b'Let w(r) = -18*r**2 - 2*r - 2. Let d(b) = 11*b**2 + b + 1. Let m(s) = -5*d(s) - 3*w(s). Give m(1).\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 3 i when four letters picked without replacement from {x: 1, m: 16, i: 1}.\n' | b'0\n' | b'Calculate prob of picking 1 x and 3 i when four letters picked without replacement from {x: 1, m: 16, i: 1}.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of sequence yey when three letters picked without replacement from {b: 1, h: 1, y: 2, e: 4}?\n' | b'1/42\n' | b'What is prob of sequence yey when three letters picked without replacement from {b: 1, h: 1, y: 2, e: 4}?\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify (m**(-1/2)/(m**(-5/6)*m)*(m**(-1)/m*m)**(-14))**(6/13) assuming m is positive.\n' | b'm**(80/13)\n' | b'Simplify (m**(-1/2)/(m**(-5/6)*m)*(m**(-1)/m*m)**(-14))**(6/13) assuming m is positive.\n' | b'm**(80/13)\n' | deepmind/math_dataset |
b'Suppose o - 2 = -3*o + 2*v, -2*v = 5*o + 2. Suppose o*y - y = -5. What is the second derivative of 2*h**2 - 3*h**3 + 11*h**3 - 2*h**2 - y*h wrt h?\n' | b'48*h\n' | b'Suppose o - 2 = -3*o + 2*v, -2*v = 5*o + 2. Suppose o*y - y = -5. What is the second derivative of 2*h**2 - 3*h**3 + 11*h**3 - 2*h**2 - y*h wrt h?\n' | b'48*h\n' | deepmind/math_dataset |
b'Let w(a) be the third derivative of -a**5/60 + a**4/4 - a**3/3 - 5*a**2. Suppose 14876*q = 14867*q + 63. What is w(q)?\n' | b'-9\n' | b'Let w(a) be the third derivative of -a**5/60 + a**4/4 - a**3/3 - 5*a**2. Suppose 14876*q = 14867*q + 63. What is w(q)?\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify (((b**(2/5)/b)/b)**18*b**(-2/7)*b/b**(2/15))/((b/b**(-2))/b**14)**(-11) assuming b is positive.\n' | b'b**(-15668/105)\n' | b'Simplify (((b**(2/5)/b)/b)**18*b**(-2/7)*b/b**(2/15))/((b/b**(-2))/b**14)**(-11) assuming b is positive.\n' | b'b**(-15668/105)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 11, x: 1, h: 2}. Give prob of picking 1 x and 2 e.\n' | b'55/364\n' | b'Three letters picked without replacement from {e: 11, x: 1, h: 2}. Give prob of picking 1 x and 2 e.\n' | b'55/364\n' | deepmind/math_dataset |
b'Calculate prob of sequence ahp when three letters picked without replacement from {a: 1, c: 1, p: 7, h: 7}.\n' | b'7/480\n' | b'Calculate prob of sequence ahp when three letters picked without replacement from {a: 1, c: 1, p: 7, h: 7}.\n' | b'7/480\n' | deepmind/math_dataset |
b'Let h be (28/12 + -2)*3 - -23. Suppose 2*m = z - 1, h*z - 19*z - 5 = 4*m. Solve 0 = -4*i - g - 15, 15 + m = 3*g for i.\n' | b'-5\n' | b'Let h be (28/12 + -2)*3 - -23. Suppose 2*m = z - 1, h*z - 19*z - 5 = 4*m. Solve 0 = -4*i - g - 15, 15 + m = 3*g for i.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence yegu when four letters picked without replacement from {u: 2, w: 3, g: 9, y: 4, e: 1}?\n' | b'1/1292\n' | b'What is prob of sequence yegu when four letters picked without replacement from {u: 2, w: 3, g: 9, y: 4, e: 1}?\n' | b'1/1292\n' | deepmind/math_dataset |
b'Let b = -12 - -42. Let k be 22/110*(1 + 14). Solve -8*i + k*i = -5*h - b, 0 = h + i + 2 for h.\n' | b'-4\n' | b'Let b = -12 - -42. Let k be 22/110*(1 + 14). Solve -8*i + k*i = -5*h - b, 0 = h + i + 2 for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -5*r = -5*l - 10, -5*l - 3*r = -r - 25. Let j be -2 - (-7 - -4) - -4. Solve -q + l*a - 13 = 7, -a + j = 0 for q.\n' | b'-5\n' | b'Suppose -5*r = -5*l - 10, -5*l - 3*r = -r - 25. Let j be -2 - (-7 - -4) - -4. Solve -q + l*a - 13 = 7, -a + j = 0 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 w when three letters picked without replacement from fwwwwfwffwwfwfwffwfw.\n' | b'11/76\n' | b'Calculate prob of picking 3 w when three letters picked without replacement from fwwwwfwffwwfwfwffwfw.\n' | b'11/76\n' | deepmind/math_dataset |
b'Let q = -179 + 184. Solve -8 = b - f, -5*f + 31 = -q*b - 3*f for b.\n' | b'-5\n' | b'Let q = -179 + 184. Solve -8 = b - f, -5*f + 31 = -q*b - 3*f for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of sequence mnnn when four letters picked without replacement from {d: 2, k: 1, n: 3, u: 3, m: 1}.\n' | b'1/840\n' | b'Calculate prob of sequence mnnn when four letters picked without replacement from {d: 2, k: 1, n: 3, u: 3, m: 1}.\n' | b'1/840\n' | deepmind/math_dataset |
b'What is prob of picking 1 v, 1 g, and 1 j when three letters picked without replacement from {j: 2, g: 1, v: 1}?\n' | b'1/2\n' | b'What is prob of picking 1 v, 1 g, and 1 j when three letters picked without replacement from {j: 2, g: 1, v: 1}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let j be ((2/(-8))/(33/627))/(17/204). Let u(i) = -7*i - 393. Determine u(j).\n' | b'6\n' | b'Let j be ((2/(-8))/(33/627))/(17/204). Let u(i) = -7*i - 393. Determine u(j).\n' | b'6\n' | deepmind/math_dataset |
b'Differentiate -376*i**3 + 373*i**3 + 9 + 72 - 3*i**4 wrt i.\n' | b'-12*i**3 - 9*i**2\n' | b'Differentiate -376*i**3 + 373*i**3 + 9 + 72 - 3*i**4 wrt i.\n' | b'-12*i**3 - 9*i**2\n' | deepmind/math_dataset |
b'Let q(t) = 2*t**2 + 5*t + 1. Let j be q(-3). Solve -2*o + 1 = 2*l + 5, 10 = -j*l - 5*o for l.\n' | b'0\n' | b'Let q(t) = 2*t**2 + 5*t + 1. Let j be q(-3). Solve -2*o + 1 = 2*l + 5, 10 = -j*l - 5*o for l.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 2 m and 2 a when four letters picked without replacement from aamam?\n' | b'3/5\n' | b'What is prob of picking 2 m and 2 a when four letters picked without replacement from aamam?\n' | b'3/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {t: 5, v: 2, c: 4}.\n' | b'4/55\n' | b'Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {t: 5, v: 2, c: 4}.\n' | b'4/55\n' | deepmind/math_dataset |
b'Let x(b) = 17*b - 306. Let q be x(18). Let l(t) be the first derivative of 13/2*t**2 + q*t + 2 - 13/3*t**3. What is the second derivative of l(n) wrt n?\n' | b'-26\n' | b'Let x(b) = 17*b - 306. Let q be x(18). Let l(t) be the first derivative of 13/2*t**2 + q*t + 2 - 13/3*t**3. What is the second derivative of l(n) wrt n?\n' | b'-26\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, r: 1, h: 1, k: 2, y: 4}. Give prob of picking 1 h and 2 m.\n' | b'1/120\n' | b'Three letters picked without replacement from {m: 2, r: 1, h: 1, k: 2, y: 4}. Give prob of picking 1 h and 2 m.\n' | b'1/120\n' | deepmind/math_dataset |
b'Simplify y/y**(-11)*y*(y**(2/7)/y*y)/y*y assuming y is positive.\n' | b'y**(93/7)\n' | b'Simplify y/y**(-11)*y*(y**(2/7)/y*y)/y*y assuming y is positive.\n' | b'y**(93/7)\n' | deepmind/math_dataset |
b'Let v(n) = 1204*n + 12048. Let l be v(-10). Solve -l = 5*z - y, 28*z + 9 = 25*z + 2*y for z.\n' | b'-1\n' | b'Let v(n) = 1204*n + 12048. Let l be v(-10). Solve -l = 5*z - y, 28*z + 9 = 25*z + 2*y for z.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ohb when three letters picked without replacement from {h: 1, o: 1, j: 1, m: 1, b: 1}.\n' | b'1/60\n' | b'Calculate prob of sequence ohb when three letters picked without replacement from {h: 1, o: 1, j: 1, m: 1, b: 1}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Calculate prob of sequence hy when two letters picked without replacement from yhdhdyyddduhhyddhu.\n' | b'10/153\n' | b'Calculate prob of sequence hy when two letters picked without replacement from yhdhdyyddduhhyddhu.\n' | b'10/153\n' | deepmind/math_dataset |
b'Let j(o) = -o**2 + 1. Let r = 2 - 1. Let i(m) = -m**3 - 4*m**2 + 6. Let x(v) = r*i(v) - 4*j(v). Find the first derivative of x(u) wrt u.\n' | b'-3*u**2\n' | b'Let j(o) = -o**2 + 1. Let r = 2 - 1. Let i(m) = -m**3 - 4*m**2 + 6. Let x(v) = r*i(v) - 4*j(v). Find the first derivative of x(u) wrt u.\n' | b'-3*u**2\n' | deepmind/math_dataset |
b'Let p be (-2 - 1)*(-2)/(-3). Let t be p/6 - (-14)/6. Find the third derivative of d**t + 0*d**2 + 0*d**5 - d**5 wrt d.\n' | b'-60*d**2\n' | b'Let p be (-2 - 1)*(-2)/(-3). Let t be p/6 - (-14)/6. Find the third derivative of d**t + 0*d**2 + 0*d**5 - d**5 wrt d.\n' | b'-60*d**2\n' | deepmind/math_dataset |
b'Let f(p) = -p**2 + 12*p - 27. Let v be f(8). Solve -v = -3*x + 5*x + 3*r, 3*r = -15 for x.\n' | b'5\n' | b'Let f(p) = -p**2 + 12*p - 27. Let v be f(8). Solve -v = -3*x + 5*x + 3*r, 3*r = -15 for x.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 5*y - 25 = 5. Let d(b) = 1 + 0*b**3 + b**3 - b**2 - 2*b - 2*b**2 - 3*b**2. Determine d(y).\n' | b'-11\n' | b'Suppose 5*y - 25 = 5. Let d(b) = 1 + 0*b**3 + b**3 - b**2 - 2*b - 2*b**2 - 3*b**2. Determine d(y).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (t/(t/(t*(t/(t/(t/(t/t**(-6/7))*t)))/t)*t))**15*(t*t**(-1/10)/t)/(t/t**(10/13)) assuming t is positive.\n' | b't**(-12001/910)\n' | b'Simplify (t/(t/(t*(t/(t/(t/(t/t**(-6/7))*t)))/t)*t))**15*(t*t**(-1/10)/t)/(t/t**(10/13)) assuming t is positive.\n' | b't**(-12001/910)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o and 1 w when three letters picked without replacement from ojjzzzoowcwcooj.\n' | b'4/91\n' | b'Calculate prob of picking 2 o and 1 w when three letters picked without replacement from ojjzzzoowcwcooj.\n' | b'4/91\n' | deepmind/math_dataset |
b'What is prob of sequence ffff when four letters picked without replacement from ffff?\n' | b'1\n' | b'What is prob of sequence ffff when four letters picked without replacement from ffff?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (v/((v/((((v/(v/v**27)*v)/v*v)/v)/v*v))/v)*v*v**0*v)/(v**20/v)**(-10/11) assuming v is positive.\n' | b'v**(520/11)\n' | b'Simplify (v/((v/((((v/(v/v**27)*v)/v*v)/v)/v*v))/v)*v*v**0*v)/(v**20/v)**(-10/11) assuming v is positive.\n' | b'v**(520/11)\n' | deepmind/math_dataset |
b'Calculate prob of sequence al when two letters picked without replacement from aaaaaaaalaaa.\n' | b'1/12\n' | b'Calculate prob of sequence al when two letters picked without replacement from aaaaaaaalaaa.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let b(t) be the second derivative of -121*t**6/30 + t**5/20 + 5*t**4/12 - 1985*t**2 - 1681*t. Differentiate b(j) wrt j.\n' | b'-484*j**3 + 3*j**2 + 10*j\n' | b'Let b(t) be the second derivative of -121*t**6/30 + t**5/20 + 5*t**4/12 - 1985*t**2 - 1681*t. Differentiate b(j) wrt j.\n' | b'-484*j**3 + 3*j**2 + 10*j\n' | deepmind/math_dataset |
b'Let r(f) = 8*f - 13 - f**2 + 7 + 1. Let g be r(6). Solve 0 = -5*k - 2*l - 13, 5*k + 4*l = g - 18 for k.\n' | b'-3\n' | b'Let r(f) = 8*f - 13 - f**2 + 7 + 1. Let g be r(6). Solve 0 = -5*k - 2*l - 13, 5*k + 4*l = g - 18 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Find the first derivative of 2436*l - 318*l + 2233*l - 3669 wrt l.\n' | b'4351\n' | b'Find the first derivative of 2436*l - 318*l + 2233*l - 3669 wrt l.\n' | b'4351\n' | deepmind/math_dataset |
b'Suppose 0 = 4*w - 12, w + 6 - 5 = -2*h. Let c = 2 + h. Let j be 4 + c*3/9. Solve -4*z = -j, 0 = -m - 4*z + 2*z + 1 for m.\n' | b'-1\n' | b'Suppose 0 = 4*w - 12, w + 6 - 5 = -2*h. Let c = 2 + h. Let j be 4 + c*3/9. Solve -4*z = -j, 0 = -m - 4*z + 2*z + 1 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Let v(u) = 6*u - 50. Let x be v(14). Suppose -x*g + 31*g = 12. Let q(m) be the third derivative of m**4/24 + m**3/2 - m**2. What is q(g)?\n' | b'-1\n' | b'Let v(u) = 6*u - 50. Let x be v(14). Suppose -x*g + 31*g = 12. Let q(m) be the third derivative of m**4/24 + m**3/2 - m**2. What is q(g)?\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of sequence vv when two letters picked without replacement from {x: 6, v: 4, h: 2}?\n' | b'1/11\n' | b'What is prob of sequence vv when two letters picked without replacement from {x: 6, v: 4, h: 2}?\n' | b'1/11\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 7, p: 7}. Give prob of picking 2 w.\n' | b'3/13\n' | b'Two letters picked without replacement from {w: 7, p: 7}. Give prob of picking 2 w.\n' | b'3/13\n' | deepmind/math_dataset |
b'What is prob of sequence uhn when three letters picked without replacement from {b: 1, n: 2, h: 1, l: 2, u: 1}?\n' | b'1/105\n' | b'What is prob of sequence uhn when three letters picked without replacement from {b: 1, n: 2, h: 1, l: 2, u: 1}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Let x(y) be the second derivative of -2/3*y**3 + 0 + 26*y + 9/2*y**2 + 1/20*y**5 + 1/2*y**4. What is x(-7)?\n' | b'-12\n' | b'Let x(y) be the second derivative of -2/3*y**3 + 0 + 26*y + 9/2*y**2 + 1/20*y**5 + 1/2*y**4. What is x(-7)?\n' | b'-12\n' | deepmind/math_dataset |
b'Suppose a - 5 = 3*r, 3*a - 5 = -43*r + 47*r. Let z(o) = -3*o + 2. Calculate z(r).\n' | b'8\n' | b'Suppose a - 5 = 3*r, 3*a - 5 = -43*r + 47*r. Let z(o) = -3*o + 2. Calculate z(r).\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of picking 2 f when two letters picked without replacement from {h: 6, k: 2, f: 7}?\n' | b'1/5\n' | b'What is prob of picking 2 f when two letters picked without replacement from {h: 6, k: 2, f: 7}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let i = 4 - 1. Solve -i*j - 5 = -5*a, 4*a + 2*j = -20 + 2 for a.\n' | b'-2\n' | b'Let i = 4 - 1. Solve -i*j - 5 = -5*a, 4*a + 2*j = -20 + 2 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let p = 379 - 164. Let c = p - 205. Solve 5*w - 3*g = g - 12, 3*w - g = -c for w.\n' | b'-4\n' | b'Let p = 379 - 164. Let c = p - 205. Solve 5*w - 3*g = g - 12, 3*w - g = -c for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = 2*a + 3*a - 60. Let n = -11 + a. Solve 4*s - 2 = 2*y, -3*s + y + 2 = n for s.\n' | b'0\n' | b'Suppose 0 = 2*a + 3*a - 60. Let n = -11 + a. Solve 4*s - 2 = 2*y, -3*s + y + 2 = n for s.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 4 u when four letters picked without replacement from ubmbuuuuuummmu?\n' | b'10/143\n' | b'What is prob of picking 4 u when four letters picked without replacement from ubmbuuuuuummmu?\n' | b'10/143\n' | deepmind/math_dataset |
b'Suppose -6*a + 1 + 11 = 0. Suppose -3*l + 4*t = t - 3, 0 = a*l - 4*t + 6. Let m(c) = c**2 - 7*c + 6. Give m(l).\n' | b'-4\n' | b'Suppose -6*a + 1 + 11 = 0. Suppose -3*l + 4*t = t - 3, 0 = a*l - 4*t + 6. Let m(c) = c**2 - 7*c + 6. Give m(l).\n' | b'-4\n' | deepmind/math_dataset |
b'Let y be 3 + 1 + (-3 - 0). Let i(u) = -u - 3. Let w(k) = -10*k + 28. Let z(f) = 3*f - 9. Let r(l) = -5*w(l) - 16*z(l). Let c(a) = 5*i(a) + 4*r(a). Give c(y).\n' | b'4\n' | b'Let y be 3 + 1 + (-3 - 0). Let i(u) = -u - 3. Let w(k) = -10*k + 28. Let z(f) = 3*f - 9. Let r(l) = -5*w(l) - 16*z(l). Let c(a) = 5*i(a) + 4*r(a). Give c(y).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oorrrykrkoxykkrkr. Give prob of picking 1 k and 2 y.\n' | b'1/136\n' | b'Three letters picked without replacement from oorrrykrkoxykkrkr. Give prob of picking 1 k and 2 y.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let b = 182 - 184. Let t be (b + (-1 - -2))*(17 + -31). Solve -3*s - 2*x + t = 0, 4*s - 2*x = -s + 18 for s.\n' | b'4\n' | b'Let b = 182 - 184. Let t be (b + (-1 - -2))*(17 + -31). Solve -3*s - 2*x + t = 0, 4*s - 2*x = -s + 18 for s.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (i**(-2/3)/(i/i**(1/4)))/((i/i**(-5/3))/(i/(i*i*i*i**(-5/6))*i)) assuming i is positive.\n' | b'i**(-17/4)\n' | b'Simplify (i**(-2/3)/(i/i**(1/4)))/((i/i**(-5/3))/(i/(i*i*i*i**(-5/6))*i)) assuming i is positive.\n' | b'i**(-17/4)\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 1 v when two letters picked without replacement from {v: 1, s: 1, q: 1, z: 2, m: 2}?\n' | b'2/21\n' | b'What is prob of picking 1 m and 1 v when two letters picked without replacement from {v: 1, s: 1, q: 1, z: 2, m: 2}?\n' | b'2/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ieeieiiieifieeieii. Give prob of sequence fiei.\n' | b'7/816\n' | b'Four letters picked without replacement from ieeieiiieifieeieii. Give prob of sequence fiei.\n' | b'7/816\n' | deepmind/math_dataset |
b'Let v(p) be the second derivative of -3/2*p**2 + 1/4*p**4 + 0*p**3 + 0 - 3*p. Find the first derivative of v(t) wrt t.\n' | b'6*t\n' | b'Let v(p) be the second derivative of -3/2*p**2 + 1/4*p**4 + 0*p**3 + 0 - 3*p. Find the first derivative of v(t) wrt t.\n' | b'6*t\n' | deepmind/math_dataset |
b'Simplify (((w/((w/(w/(w*w*w**0/w)*w))/w)*w)/w)**(4/17))**20 assuming w is positive.\n' | b'w**(160/17)\n' | b'Simplify (((w/((w/(w/(w*w*w**0/w)*w))/w)*w)/w)**(4/17))**20 assuming w is positive.\n' | b'w**(160/17)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooomoooo. Give prob of sequence mooo.\n' | b'1/8\n' | b'Four letters picked without replacement from ooomoooo. Give prob of sequence mooo.\n' | b'1/8\n' | deepmind/math_dataset |
b'What is prob of sequence axx when three letters picked without replacement from rcxqzarxqxqa?\n' | b'1/110\n' | b'What is prob of sequence axx when three letters picked without replacement from rcxqzarxqxqa?\n' | b'1/110\n' | deepmind/math_dataset |
b'Let p be 1/(-4) - (-26)/8. Let k(r) = -3*r. Let y(u) = 4*u - 1. Let o(n) = 6*k(n) + 4*y(n). Determine o(p).\n' | b'-10\n' | b'Let p be 1/(-4) - (-26)/8. Let k(r) = -3*r. Let y(u) = 4*u - 1. Let o(n) = 6*k(n) + 4*y(n). Determine o(p).\n' | b'-10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qyzjmmmdqymjqmmdzjjq. What is prob of picking 2 m?\n' | b'3/38\n' | b'Two letters picked without replacement from qyzjmmmdqymjqmmdzjjq. What is prob of picking 2 m?\n' | b'3/38\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 2, i: 4, g: 2, y: 3}. What is prob of sequence iyyt?\n' | b'1/165\n' | b'Four letters picked without replacement from {t: 2, i: 4, g: 2, y: 3}. What is prob of sequence iyyt?\n' | b'1/165\n' | deepmind/math_dataset |
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