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'Simplify (((a**(2/7))**(-3/5))**(10/9))**40 assuming a is positive.\n' | b'a**(-160/21)\n' | b'Simplify (((a**(2/7))**(-3/5))**(10/9))**40 assuming a is positive.\n' | b'a**(-160/21)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 1, m: 2, a: 7, x: 3, o: 4}. What is prob of sequence oxo?\n' | b'3/340\n' | b'Three letters picked without replacement from {s: 1, m: 2, a: 7, x: 3, o: 4}. What is prob of sequence oxo?\n' | b'3/340\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gkikixii. Give prob of picking 1 k, 1 i, 1 g, and 1 x.\n' | b'4/35\n' | b'Four letters picked without replacement from gkikixii. Give prob of picking 1 k, 1 i, 1 g, and 1 x.\n' | b'4/35\n' | deepmind/math_dataset |
b'Simplify (p**(2/15))**27 assuming p is positive.\n' | b'p**(18/5)\n' | b'Simplify (p**(2/15))**27 assuming p is positive.\n' | b'p**(18/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 3, r: 5, b: 2, u: 5}. What is prob of sequence eur?\n' | b'5/182\n' | b'Three letters picked without replacement from {e: 3, r: 5, b: 2, u: 5}. What is prob of sequence eur?\n' | b'5/182\n' | deepmind/math_dataset |
b'Simplify (p*p/p**(1/11))/p**(2/41) assuming p is positive.\n' | b'p**(839/451)\n' | b'Simplify (p*p/p**(1/11))/p**(2/41) assuming p is positive.\n' | b'p**(839/451)\n' | deepmind/math_dataset |
b'Let k(f) = f**2 - 16*f - 12. Let n be k(17). Let v = n + -4. Solve -l = j - 3, -4*l = -j - v - 1 for l.\n' | b'1\n' | b'Let k(f) = f**2 - 16*f - 12. Let n be k(17). Let v = n + -4. Solve -l = j - 3, -4*l = -j - v - 1 for l.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 3 w when three letters picked without replacement from wccccccwcwcc?\n' | b'1/220\n' | b'What is prob of picking 3 w when three letters picked without replacement from wccccccwcwcc?\n' | b'1/220\n' | deepmind/math_dataset |
b'What is the second derivative of -695 + 3034*n**2 - 4874*n + 350 + 345 + 1281*n wrt n?\n' | b'6068\n' | b'What is the second derivative of -695 + 3034*n**2 - 4874*n + 350 + 345 + 1281*n wrt n?\n' | b'6068\n' | deepmind/math_dataset |
b'Simplify (y**(-2/9)/y**1)/(y/((y*y/(y*((y**(3/4)/y)/y)/y))/y)*y**1) assuming y is positive.\n' | b'y**(-35/36)\n' | b'Simplify (y**(-2/9)/y**1)/(y/((y*y/(y*((y**(3/4)/y)/y)/y))/y)*y**1) assuming y is positive.\n' | b'y**(-35/36)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rnhrvehnhxhx. Give prob of picking 2 r.\n' | b'1/66\n' | b'Two letters picked without replacement from rnhrvehnhxhx. Give prob of picking 2 r.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let z = 6 + -4. Suppose -77 = -4*y - 3*d, z*y + d = 7*y - 82. Suppose 7*q - 20 = 2*q. Solve -q*i = w + i + y, -w - 13 = 4*i for w.\n' | b'3\n' | b'Let z = 6 + -4. Suppose -77 = -4*y - 3*d, z*y + d = 7*y - 82. Suppose 7*q - 20 = 2*q. Solve -q*i = w + i + y, -w - 13 = 4*i for w.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rttrtrrtrtttttrtxtt. Give prob of sequence rtxt.\n' | b'11/1292\n' | b'Four letters picked without replacement from rttrtrrtrtttttrtxtt. Give prob of sequence rtxt.\n' | b'11/1292\n' | deepmind/math_dataset |
b'Let j(r) = r. Let y = -28 - -32. Let m(i) = -12*i + 7. Let s be m(y). Let o = -40 - s. Determine j(o).\n' | b'1\n' | b'Let j(r) = r. Let y = -28 - -32. Let m(i) = -12*i + 7. Let s be m(y). Let o = -40 - s. Determine j(o).\n' | b'1\n' | deepmind/math_dataset |
b'Let z(p) = -p**3 + 5*p**2 - 6*p + 2. Let a be 4/12 - (38/(-3) + 1). Let w = a - 7. Calculate z(w).\n' | b'-28\n' | b'Let z(p) = -p**3 + 5*p**2 - 6*p + 2. Let a be 4/12 - (38/(-3) + 1). Let w = a - 7. Calculate z(w).\n' | b'-28\n' | deepmind/math_dataset |
b'What is prob of picking 2 t when two letters picked without replacement from {t: 4, b: 2}?\n' | b'2/5\n' | b'What is prob of picking 2 t when two letters picked without replacement from {t: 4, b: 2}?\n' | b'2/5\n' | deepmind/math_dataset |
b'Let j(t) be the first derivative of -17 + t - 5/2*t**2. Let b = 2 + -1. Give j(b).\n' | b'-4\n' | b'Let j(t) be the first derivative of -17 + t - 5/2*t**2. Let b = 2 + -1. Give j(b).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 2, i: 5, e: 3, p: 3, h: 3}. What is prob of sequence ij?\n' | b'1/24\n' | b'Two letters picked without replacement from {j: 2, i: 5, e: 3, p: 3, h: 3}. What is prob of sequence ij?\n' | b'1/24\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nkhnxgxnnxnnxknx. Give prob of picking 2 n and 1 x.\n' | b'3/16\n' | b'Three letters picked without replacement from nkhnxgxnnxnnxknx. Give prob of picking 2 n and 1 x.\n' | b'3/16\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 2, m: 5, e: 1, q: 1}. Give prob of sequence me.\n' | b'5/72\n' | b'Two letters picked without replacement from {p: 2, m: 5, e: 1, q: 1}. Give prob of sequence me.\n' | b'5/72\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 q when two letters picked without replacement from sfzfqfqqsf?\n' | b'1/15\n' | b'What is prob of picking 1 z and 1 q when two letters picked without replacement from sfzfqfqqsf?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let v = 53 - 32. Suppose -3*s + 17 = 2. Solve 3*r - 4 - v = 4*k, 2*k = -s*r + 7 for r.\n' | b'3\n' | b'Let v = 53 - 32. Suppose -3*s + 17 = 2. Solve 3*r - 4 - v = 4*k, 2*k = -s*r + 7 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 3, h: 4, f: 1, u: 1, t: 2}. Give prob of picking 1 e and 1 u.\n' | b'3/55\n' | b'Two letters picked without replacement from {e: 3, h: 4, f: 1, u: 1, t: 2}. Give prob of picking 1 e and 1 u.\n' | b'3/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aymyayyayayaaafyafa. Give prob of picking 1 y and 1 m.\n' | b'7/171\n' | b'Two letters picked without replacement from aymyayyayayaaafyafa. Give prob of picking 1 y and 1 m.\n' | b'7/171\n' | deepmind/math_dataset |
b'What is prob of sequence yvtv when four letters picked without replacement from {t: 2, v: 2, s: 1, y: 1, c: 1}?\n' | b'1/210\n' | b'What is prob of sequence yvtv when four letters picked without replacement from {t: 2, v: 2, s: 1, y: 1, c: 1}?\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify c**(-2/7)/(c/(c/c**(2/3)*c)) assuming c is positive.\n' | b'c**(1/21)\n' | b'Simplify c**(-2/7)/(c/(c/c**(2/3)*c)) assuming c is positive.\n' | b'c**(1/21)\n' | deepmind/math_dataset |
b'What is prob of picking 1 c, 1 v, and 2 y when four letters picked without replacement from {q: 2, c: 1, v: 7, y: 2}?\n' | b'7/495\n' | b'What is prob of picking 1 c, 1 v, and 2 y when four letters picked without replacement from {q: 2, c: 1, v: 7, y: 2}?\n' | b'7/495\n' | deepmind/math_dataset |
b'Let s be -1*(-1 - 0) + 2. Suppose 9 = s*t, 3*h - 2*t = -7*t + 24. Differentiate -h*v**3 + 14*v**3 - 5 + 5*v**3 - 3*v**3 wrt v.\n' | b'39*v**2\n' | b'Let s be -1*(-1 - 0) + 2. Suppose 9 = s*t, 3*h - 2*t = -7*t + 24. Differentiate -h*v**3 + 14*v**3 - 5 + 5*v**3 - 3*v**3 wrt v.\n' | b'39*v**2\n' | deepmind/math_dataset |
b'Let l(i) be the first derivative of -3 + 0*i**3 + 0*i**4 + 1/2*i**6 + 0*i**5 + i**2 + 0*i. Find the second derivative of l(x) wrt x.\n' | b'60*x**3\n' | b'Let l(i) be the first derivative of -3 + 0*i**3 + 0*i**4 + 1/2*i**6 + 0*i**5 + i**2 + 0*i. Find the second derivative of l(x) wrt x.\n' | b'60*x**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzasyszsssczzz. What is prob of sequence zsac?\n' | b'5/4004\n' | b'Four letters picked without replacement from zzasyszsssczzz. What is prob of sequence zsac?\n' | b'5/4004\n' | deepmind/math_dataset |
b'Simplify ((c**(-24)*(c*c/c**(-1/43))/c*c)/(c**(-3/20)/c**(-8)))**19 assuming c is positive.\n' | b'c**(-487369/860)\n' | b'Simplify ((c**(-24)*(c*c/c**(-1/43))/c*c)/(c**(-3/20)/c**(-8)))**19 assuming c is positive.\n' | b'c**(-487369/860)\n' | deepmind/math_dataset |
b'Let h(l) = l**2 + 9*l - 7. Let p be h(-10). Find the first derivative of 79*b - 79*b + 3*b**p + 10 + 30 wrt b.\n' | b'9*b**2\n' | b'Let h(l) = l**2 + 9*l - 7. Let p be h(-10). Find the first derivative of 79*b - 79*b + 3*b**p + 10 + 30 wrt b.\n' | b'9*b**2\n' | deepmind/math_dataset |
b'Let v(m) = m**3 + 11*m**2 + 10*m - 6. Let o be v(-10). Let p(k) be the first derivative of 2*k**2 + 8*k - 3748. Give p(o).\n' | b'-16\n' | b'Let v(m) = m**3 + 11*m**2 + 10*m - 6. Let o be v(-10). Let p(k) be the first derivative of 2*k**2 + 8*k - 3748. Give p(o).\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify ((r**0/r)**(2/13)*r*r**(2/5)*r*r**(1/3))/((r**(-1/2)/(r/(r**(-3)/r)))/(r**4*(r**4/r*r)/r*r)) assuming r is positive.\n' | b'r**(6271/390)\n' | b'Simplify ((r**0/r)**(2/13)*r*r**(2/5)*r*r**(1/3))/((r**(-1/2)/(r/(r**(-3)/r)))/(r**4*(r**4/r*r)/r*r)) assuming r is positive.\n' | b'r**(6271/390)\n' | deepmind/math_dataset |
b'Let m(d) = -6*d**2 - 11*d + 3. Let t(o) = -17*o**2 - 33*o + 8. Let j(x) = -8*m(x) + 3*t(x). What is the second derivative of j(w) wrt w?\n' | b'-6\n' | b'Let m(d) = -6*d**2 - 11*d + 3. Let t(o) = -17*o**2 - 33*o + 8. Let j(x) = -8*m(x) + 3*t(x). What is the second derivative of j(w) wrt w?\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose -4*z = 2*z - 144. Suppose 2*t = -18 + z. Solve -4*p + 26 = -3*h, h - 2*h - 17 = -t*p for p.\n' | b'5\n' | b'Suppose -4*z = 2*z - 144. Suppose 2*t = -18 + z. Solve -4*p + 26 = -3*h, h - 2*h - 17 = -t*p for p.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lllocololololollooc. What is prob of sequence olo?\n' | b'28/323\n' | b'Three letters picked without replacement from lllocololololollooc. What is prob of sequence olo?\n' | b'28/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 1, j: 2, u: 2, h: 4, w: 4, y: 2}. What is prob of sequence whh?\n' | b'8/455\n' | b'Three letters picked without replacement from {t: 1, j: 2, u: 2, h: 4, w: 4, y: 2}. What is prob of sequence whh?\n' | b'8/455\n' | deepmind/math_dataset |
b'Let q be 7/1 - 15/5. Let t = -3 + q. Differentiate -t + 1 - 3*s**2 + 5*s**2 - 2 wrt s.\n' | b'4*s\n' | b'Let q be 7/1 - 15/5. Let t = -3 + q. Differentiate -t + 1 - 3*s**2 + 5*s**2 - 2 wrt s.\n' | b'4*s\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {n: 3, e: 1, h: 4, j: 2, s: 1}.\n' | b'4/55\n' | b'Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {n: 3, e: 1, h: 4, j: 2, s: 1}.\n' | b'4/55\n' | deepmind/math_dataset |
b'Simplify (u*(u*u*u**(-2/21))/u*u*u/u**(-5/4))/(u/u**21*u**(-3/16)*u) assuming u is positive.\n' | b'u**(8179/336)\n' | b'Simplify (u*(u*u*u**(-2/21))/u*u*u/u**(-5/4))/(u/u**21*u**(-3/16)*u) assuming u is positive.\n' | b'u**(8179/336)\n' | deepmind/math_dataset |
b'Suppose 4*w - 8 = 0, 2*p - w = -0*w + 20. Let t(i) = -i + 4*i - 4*i - p. Give t(-9).\n' | b'-2\n' | b'Suppose 4*w - 8 = 0, 2*p - w = -0*w + 20. Let t(i) = -i + 4*i - 4*i - p. Give t(-9).\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(s) = s**3 + 6*s**2 - 30*s - 176. Let y be g(-6). Let i(d) = d**3 - 4*d**2 - d - 1. Determine i(y).\n' | b'-5\n' | b'Let g(s) = s**3 + 6*s**2 - 30*s - 176. Let y be g(-6). Let i(d) = d**3 - 4*d**2 - d - 1. Determine i(y).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((v**7/v*v*v*v)/v)**(5/3)/(v/(v/(v**1*v))*v/v**21))**(1/6) assuming v is positive.\n' | b'v**(47/9)\n' | b'Simplify (((v**7/v*v*v*v)/v)**(5/3)/(v/(v/(v**1*v))*v/v**21))**(1/6) assuming v is positive.\n' | b'v**(47/9)\n' | deepmind/math_dataset |
b'Let p(y) = 701 - 2*y**3 - 700 + y**3 - 5*y**2. Let l be 4/7 + 663/(-119). Determine p(l).\n' | b'1\n' | b'Let p(y) = 701 - 2*y**3 - 700 + y**3 - 5*y**2. Let l be 4/7 + 663/(-119). Determine p(l).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose d - 6*d - s - 24 = 0, -16 = 4*s. Let i be -3 + 6 + 4 + d. Solve -16 = -4*m - i*a, -18 = -4*m - 5*a + 6 for m.\n' | b'1\n' | b'Suppose d - 6*d - s - 24 = 0, -16 = 4*s. Let i be -3 + 6 + 4 + d. Solve -16 = -4*m - i*a, -18 = -4*m - 5*a + 6 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let u(z) = -z**2 + 9*z - 6. Let f be ((-20)/(-2))/(2 - 0). Suppose -2*v = 2*k - 25 + 5, f*k + 4 = 4*v. Calculate u(v).\n' | b'12\n' | b'Let u(z) = -z**2 + 9*z - 6. Let f be ((-20)/(-2))/(2 - 0). Suppose -2*v = 2*k - 25 + 5, f*k + 4 = 4*v. Calculate u(v).\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of sequence tkz when three letters picked without replacement from {k: 2, b: 1, z: 4, r: 3, t: 2}?\n' | b'2/165\n' | b'What is prob of sequence tkz when three letters picked without replacement from {k: 2, b: 1, z: 4, r: 3, t: 2}?\n' | b'2/165\n' | deepmind/math_dataset |
b'Suppose -19 = -4*m + 13. Solve -16 = -4*n, -n - n = 2*d - m for d.\n' | b'0\n' | b'Suppose -19 = -4*m + 13. Solve -16 = -4*n, -n - n = 2*d - m for d.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(v) be the third derivative of -v**8/42 + v**5/30 + v**2. What is the third derivative of a(s) wrt s?\n' | b'-480*s**2\n' | b'Let a(v) be the third derivative of -v**8/42 + v**5/30 + v**2. What is the third derivative of a(s) wrt s?\n' | b'-480*s**2\n' | deepmind/math_dataset |
b'Suppose -d + 3 = 0, 5*d - 12 = 2*l + l. What is the first derivative of 5*j**4 - l + 11 - 3 wrt j?\n' | b'20*j**3\n' | b'Suppose -d + 3 = 0, 5*d - 12 = 2*l + l. What is the first derivative of 5*j**4 - l + 11 - 3 wrt j?\n' | b'20*j**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 5, t: 8}. Give prob of picking 1 t and 1 j.\n' | b'20/39\n' | b'Two letters picked without replacement from {j: 5, t: 8}. Give prob of picking 1 t and 1 j.\n' | b'20/39\n' | deepmind/math_dataset |
b'Let d be (-8)/2 + 1 + -3. Suppose x = 11 - 0. Let c = d + x. Solve f = -c*s + 5 - 3, -2*s - 2 = -f for s.\n' | b'0\n' | b'Let d be (-8)/2 + 1 + -3. Suppose x = 11 - 0. Let c = d + x. Solve f = -c*s + 5 - 3, -2*s - 2 = -f for s.\n' | b'0\n' | deepmind/math_dataset |
b'Let b be ((-16)/(-6))/((-10)/(-30)). Let v(a) be the second derivative of a**3/6 - 4*a**2 - 3*a. Let f be v(b). Solve s = -0*s - 3, 4*w + 5*s + 3 = f for w.\n' | b'3\n' | b'Let b be ((-16)/(-6))/((-10)/(-30)). Let v(a) be the second derivative of a**3/6 - 4*a**2 - 3*a. Let f be v(b). Solve s = -0*s - 3, 4*w + 5*s + 3 = f for w.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -16*b + 71*b = 220. Let v(d) be the second derivative of 11/12*d**b + 0*d**2 + 0 - d + 11/6*d**3. Find the second derivative of v(r) wrt r.\n' | b'22\n' | b'Suppose -16*b + 71*b = 220. Let v(d) be the second derivative of 11/12*d**b + 0*d**2 + 0 - d + 11/6*d**3. Find the second derivative of v(r) wrt r.\n' | b'22\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 w when two letters picked without replacement from {t: 2, e: 5, l: 5, q: 2, d: 2, w: 2}?\n' | b'4/153\n' | b'What is prob of picking 1 q and 1 w when two letters picked without replacement from {t: 2, e: 5, l: 5, q: 2, d: 2, w: 2}?\n' | b'4/153\n' | deepmind/math_dataset |
b'Let f(x) = x - 6. Suppose 5*m = 4*j + 3, -3*j = -0*j - 9. Suppose 4*b - 6 = m*b. Let n be f(b). Solve -h - 4*g + 10 = n, 4*h = g + 4*g - 2 for h.\n' | b'2\n' | b'Let f(x) = x - 6. Suppose 5*m = 4*j + 3, -3*j = -0*j - 9. Suppose 4*b - 6 = m*b. Let n be f(b). Solve -h - 4*g + 10 = n, 4*h = g + 4*g - 2 for h.\n' | b'2\n' | deepmind/math_dataset |
b'Let h(m) = -48*m + 26*m + 23*m + 3 - m**2. What is h(4)?\n' | b'-9\n' | b'Let h(m) = -48*m + 26*m + 23*m + 3 - m**2. What is h(4)?\n' | b'-9\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rqqqqqqwqqq. What is prob of sequence wr?\n' | b'1/110\n' | b'Two letters picked without replacement from rqqqqqqwqqq. What is prob of sequence wr?\n' | b'1/110\n' | deepmind/math_dataset |
b'Suppose 0 = a + 4 - 3. Let c be a/2*(2 - 2). Suppose c = 4*t - 0 + 20. Let x(y) = -y**3 - 4*y**2 + 4*y - 6. Give x(t).\n' | b'-1\n' | b'Suppose 0 = a + 4 - 3. Let c be a/2*(2 - 2). Suppose c = 4*t - 0 + 20. Let x(y) = -y**3 - 4*y**2 + 4*y - 6. Give x(t).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nppmpnp. Give prob of sequence pmp.\n' | b'2/35\n' | b'Three letters picked without replacement from nppmpnp. Give prob of sequence pmp.\n' | b'2/35\n' | deepmind/math_dataset |
b'Calculate prob of sequence zh when two letters picked without replacement from zuzzhzvzlohoo.\n' | b'5/78\n' | b'Calculate prob of sequence zh when two letters picked without replacement from zuzzhzvzlohoo.\n' | b'5/78\n' | deepmind/math_dataset |
b'Simplify ((v/v**(-1/2))/v)**(-11)/(v*v*v/(v*v/(v*v/(v/(((v**(1/16)*v)/v)/v)*v)))*v*v**(1/10)) assuming v is positive.\n' | b'v**(-533/80)\n' | b'Simplify ((v/v**(-1/2))/v)**(-11)/(v*v*v/(v*v/(v*v/(v/(((v**(1/16)*v)/v)/v)*v)))*v*v**(1/10)) assuming v is positive.\n' | b'v**(-533/80)\n' | deepmind/math_dataset |
b'Simplify ((t/t**(-1/3)*t)**(2/31)*(t*t**5)**35)**(1/15) assuming t is positive.\n' | b't**(19544/1395)\n' | b'Simplify ((t/t**(-1/3)*t)**(2/31)*(t*t**5)**35)**(1/15) assuming t is positive.\n' | b't**(19544/1395)\n' | deepmind/math_dataset |
b'Suppose -23 = -3*r + o, r = -4*o - 11 - 3. Suppose -4*h + 6*h - r = 0. Solve 0 = 4*l + h*a - 16, 0 = 3*l + 3*a - 10 - 5 for l.\n' | b'1\n' | b'Suppose -23 = -3*r + o, r = -4*o - 11 - 3. Suppose -4*h + 6*h - r = 0. Solve 0 = 4*l + h*a - 16, 0 = 3*l + 3*a - 10 - 5 for l.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -4*b = 4, -4*h - 4*b + 5 + 11 = 0. Solve 4*n - s = 5, -3*n - 8 = -6*n + h*s for n.\n' | b'1\n' | b'Suppose -4*b = 4, -4*h - 4*b + 5 + 11 = 0. Solve 4*n - s = 5, -3*n - 8 = -6*n + h*s for n.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -17 = g - 4*y, 2*g - 1 = 3*y - 15. Let v = g - -4. Solve 0 = -5*l - 4*f + 3 + 1, -4*l - 3*f = -v for l.\n' | b'0\n' | b'Suppose -17 = g - 4*y, 2*g - 1 = 3*y - 15. Let v = g - -4. Solve 0 = -5*l - 4*f + 3 + 1, -4*l - 3*f = -v for l.\n' | b'0\n' | deepmind/math_dataset |
b'Let t = 1 - 2. Let x be (-3)/(-2 + t)*-2. Let j(a) = 2*a**3 + 2*a**2 - 2*a - 2. What is j(x)?\n' | b'-6\n' | b'Let t = 1 - 2. Let x be (-3)/(-2 + t)*-2. Let j(a) = 2*a**3 + 2*a**2 - 2*a - 2. What is j(x)?\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 7, d: 6}. Give prob of sequence wddd.\n' | b'7/143\n' | b'Four letters picked without replacement from {w: 7, d: 6}. Give prob of sequence wddd.\n' | b'7/143\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 2, z: 3, l: 6, t: 1, c: 2}. Give prob of sequence tclk.\n' | b'1/1001\n' | b'Four letters picked without replacement from {k: 2, z: 3, l: 6, t: 1, c: 2}. Give prob of sequence tclk.\n' | b'1/1001\n' | deepmind/math_dataset |
b'Simplify (k**(-1)*k/k**(1/12)*(k/k**(-1/10)*k)/(k**(2/11)/k))/((k**(5/3)/k)/k**5*(k**0)**(5/8)) assuming k is positive.\n' | b'k**(1577/220)\n' | b'Simplify (k**(-1)*k/k**(1/12)*(k/k**(-1/10)*k)/(k**(2/11)/k))/((k**(5/3)/k)/k**5*(k**0)**(5/8)) assuming k is positive.\n' | b'k**(1577/220)\n' | deepmind/math_dataset |
b'Let z(l) be the second derivative of -3*l**5/20 - 2*l**3/3 - 8*l. Find the second derivative of z(b) wrt b.\n' | b'-18*b\n' | b'Let z(l) be the second derivative of -3*l**5/20 - 2*l**3/3 - 8*l. Find the second derivative of z(b) wrt b.\n' | b'-18*b\n' | deepmind/math_dataset |
b'Simplify (f/f**(-2/23))/(f*f/f**(1/7))*(f*f**(-3)/f)**(-49) assuming f is positive.\n' | b'f**(23543/161)\n' | b'Simplify (f/f**(-2/23))/(f*f/f**(1/7))*(f*f**(-3)/f)**(-49) assuming f is positive.\n' | b'f**(23543/161)\n' | deepmind/math_dataset |
b'Let y(r) = 4*r**3 + 7*r**2 + 11*r + 11. Let z(w) = w**3 + 2*w**2 + 3*w + 3. Let n(q) = 6*y(q) - 22*z(q). What is the third derivative of n(o) wrt o?\n' | b'12\n' | b'Let y(r) = 4*r**3 + 7*r**2 + 11*r + 11. Let z(w) = w**3 + 2*w**2 + 3*w + 3. Let n(q) = 6*y(q) - 22*z(q). What is the third derivative of n(o) wrt o?\n' | b'12\n' | deepmind/math_dataset |
b'Simplify ((d**(-2/21)*d)/d)**(3/14) assuming d is positive.\n' | b'd**(-1/49)\n' | b'Simplify ((d**(-2/21)*d)/d)**(3/14) assuming d is positive.\n' | b'd**(-1/49)\n' | deepmind/math_dataset |
b'Let s be (9/12)/(4/96). Suppose x - s - 1 = 0. Find the first derivative of 19*w**2 + 4*w**4 - x*w**2 + 3 wrt w.\n' | b'16*w**3\n' | b'Let s be (9/12)/(4/96). Suppose x - s - 1 = 0. Find the first derivative of 19*w**2 + 4*w**4 - x*w**2 + 3 wrt w.\n' | b'16*w**3\n' | deepmind/math_dataset |
b'Let m(a) = -a**3 - 5*a**2 + 6*a - 10. Let u be m(-6). Let d be u/(-3)*45/(-10). Let s = d + 14. Let r(g) = -g**2 + 1. Determine r(s).\n' | b'0\n' | b'Let m(a) = -a**3 - 5*a**2 + 6*a - 10. Let u be m(-6). Let d be u/(-3)*45/(-10). Let s = d + 14. Let r(g) = -g**2 + 1. Determine r(s).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h when two letters picked without replacement from {s: 1, h: 2}.\n' | b'1/3\n' | b'Calculate prob of picking 2 h when two letters picked without replacement from {s: 1, h: 2}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 1 j, 1 u, and 1 r when four letters picked without replacement from {j: 3, x: 1, r: 3, u: 1, w: 5, q: 2}.\n' | b'6/455\n' | b'Calculate prob of picking 1 q, 1 j, 1 u, and 1 r when four letters picked without replacement from {j: 3, x: 1, r: 3, u: 1, w: 5, q: 2}.\n' | b'6/455\n' | deepmind/math_dataset |
b'Let d(k) = -15*k**2 + 7*k - 15. Let t(n) = -8*n**2 + 4*n - 8. Let g(u) = 3*d(u) - 5*t(u). Let a(w) = -6*w**2 + w - 4. Let f(b) = 5*a(b) - 4*g(b). What is f(1)?\n' | b'-9\n' | b'Let d(k) = -15*k**2 + 7*k - 15. Let t(n) = -8*n**2 + 4*n - 8. Let g(u) = 3*d(u) - 5*t(u). Let a(w) = -6*w**2 + w - 4. Let f(b) = 5*a(b) - 4*g(b). What is f(1)?\n' | b'-9\n' | deepmind/math_dataset |
b'Let a = 652 - 649. Solve a*s - 3 = -3*f, 2*s + 7 = 3*s - f for s.\n' | b'4\n' | b'Let a = 652 - 649. Solve a*s - 3 = -3*f, 2*s + 7 = 3*s - f for s.\n' | b'4\n' | deepmind/math_dataset |
b'Let u be 80/(-12)*48/(-32). Let i(g) be the first derivative of 1/2*g**2 + 0*g - u. Give i(5).\n' | b'5\n' | b'Let u be 80/(-12)*48/(-32). Let i(g) be the first derivative of 1/2*g**2 + 0*g - u. Give i(5).\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 6, t: 7}. What is prob of picking 2 a and 2 t?\n' | b'63/143\n' | b'Four letters picked without replacement from {a: 6, t: 7}. What is prob of picking 2 a and 2 t?\n' | b'63/143\n' | deepmind/math_dataset |
b'Suppose 2*g = -0*z + 4*z + 28, 3*g - 17 = z. Let l(w) = 4 + 6*w - w**2 - g. Let h be l(5). Solve -i - 5*j + 20 = 0, -3*j = h*i - 2*j - 4 for i.\n' | b'0\n' | b'Suppose 2*g = -0*z + 4*z + 28, 3*g - 17 = z. Let l(w) = 4 + 6*w - w**2 - g. Let h be l(5). Solve -i - 5*j + 20 = 0, -3*j = h*i - 2*j - 4 for i.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 3 d and 1 m when four letters picked without replacement from {m: 2, t: 2, d: 9, w: 1}?\n' | b'24/143\n' | b'What is prob of picking 3 d and 1 m when four letters picked without replacement from {m: 2, t: 2, d: 9, w: 1}?\n' | b'24/143\n' | deepmind/math_dataset |
b'Let u(h) = -2*h**3 - 3*h**2 - 47*h - 4. Let j(q) = 2*q**3 + 4*q**2 + 47*q + 5. Let w(y) = -4*j(y) - 5*u(y). What is the second derivative of w(n) wrt n?\n' | b'12*n - 2\n' | b'Let u(h) = -2*h**3 - 3*h**2 - 47*h - 4. Let j(q) = 2*q**3 + 4*q**2 + 47*q + 5. Let w(y) = -4*j(y) - 5*u(y). What is the second derivative of w(n) wrt n?\n' | b'12*n - 2\n' | deepmind/math_dataset |
b'Let v(l) be the first derivative of 19 + 0*l - 3/5*l**5 + 0*l**2 + 0*l**4 - 4/3*l**3. What is the third derivative of v(h) wrt h?\n' | b'-72*h\n' | b'Let v(l) be the first derivative of 19 + 0*l - 3/5*l**5 + 0*l**2 + 0*l**4 - 4/3*l**3. What is the third derivative of v(h) wrt h?\n' | b'-72*h\n' | deepmind/math_dataset |
b'Let r(s) = 2*s - 5. Let m be r(4). Let p(l) = 7*l - 35. Let i be p(5). Suppose -72*o + 74*o = i. Solve m*a + 8*y = 3*y - 7, o = -y + 1 for a.\n' | b'-4\n' | b'Let r(s) = 2*s - 5. Let m be r(4). Let p(l) = 7*l - 35. Let i be p(5). Suppose -72*o + 74*o = i. Solve m*a + 8*y = 3*y - 7, o = -y + 1 for a.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l and 1 b when two letters picked without replacement from lamtmqmbbqbmm.\n' | b'1/26\n' | b'Calculate prob of picking 1 l and 1 b when two letters picked without replacement from lamtmqmbbqbmm.\n' | b'1/26\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 3, m: 2, b: 1, l: 1}. What is prob of picking 1 l and 1 b?\n' | b'1/21\n' | b'Two letters picked without replacement from {s: 3, m: 2, b: 1, l: 1}. What is prob of picking 1 l and 1 b?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let t be (2 + 1)/((-5)/4 + 2). Suppose 3*g - 66 = -t*f, 3*g + 24 = -0*f + f. Solve 5*x = -a - f, 0 = -3*a + 5*a + x for a.\n' | b'2\n' | b'Let t be (2 + 1)/((-5)/4 + 2). Suppose 3*g - 66 = -t*f, 3*g + 24 = -0*f + f. Solve 5*x = -a - f, 0 = -3*a + 5*a + x for a.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 k, and 1 w when three letters picked without replacement from attakwkkakatk.\n' | b'15/286\n' | b'Calculate prob of picking 1 t, 1 k, and 1 w when three letters picked without replacement from attakwkkakatk.\n' | b'15/286\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iieeeieniieeeei. What is prob of picking 2 e and 1 n?\n' | b'4/65\n' | b'Three letters picked without replacement from iieeeieniieeeei. What is prob of picking 2 e and 1 n?\n' | b'4/65\n' | deepmind/math_dataset |
b'Suppose c - 2*x = 0, -x - x + 12 = 5*c. Suppose s - 1 = -w, -4 = -3*s - 0*w - c*w. Solve -4*l + 23 = -3*h, h + 2*l - 19 = -s*l for h.\n' | b'-1\n' | b'Suppose c - 2*x = 0, -x - x + 12 = 5*c. Suppose s - 1 = -w, -4 = -3*s - 0*w - c*w. Solve -4*l + 23 = -3*h, h + 2*l - 19 = -s*l for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (a*a**(-2/9)*a)/(a**(1/2)*a)*(a/(a*a**(-2/5)*a))/((a**(-1)/a)/a) assuming a is positive.\n' | b'a**(241/90)\n' | b'Simplify (a*a**(-2/9)*a)/(a**(1/2)*a)*(a/(a*a**(-2/5)*a))/((a**(-1)/a)/a) assuming a is positive.\n' | b'a**(241/90)\n' | deepmind/math_dataset |
b'Let t = -743 + 743. Let a(h) be the third derivative of t - 1/3*h**5 + 0*h**4 + 0*h + 0*h**3 + 7/40*h**6 + 2*h**2. Find the third derivative of a(p) wrt p.\n' | b'126\n' | b'Let t = -743 + 743. Let a(h) be the third derivative of t - 1/3*h**5 + 0*h**4 + 0*h + 0*h**3 + 7/40*h**6 + 2*h**2. Find the third derivative of a(p) wrt p.\n' | b'126\n' | deepmind/math_dataset |
b'Suppose 2*d + c - 16 = -2*d, 0 = -4*d + 5*c + 16. Suppose -d*r + 18 = -r. Let x(k) = 4 - k**3 + 1 + k + 2*k - 5*k**2 - 3 + 10*k**2. What is x(r)?\n' | b'-16\n' | b'Suppose 2*d + c - 16 = -2*d, 0 = -4*d + 5*c + 16. Suppose -d*r + 18 = -r. Let x(k) = 4 - k**3 + 1 + k + 2*k - 5*k**2 - 3 + 10*k**2. What is x(r)?\n' | b'-16\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iddhijviiidddd. What is prob of picking 1 j and 1 d?\n' | b'6/91\n' | b'Two letters picked without replacement from iddhijviiidddd. What is prob of picking 1 j and 1 d?\n' | b'6/91\n' | deepmind/math_dataset |
b'Let j(x) be the first derivative of -x**4/4 + 7*x**2/2 - 74*x - 1. Differentiate j(q) with respect to q.\n' | b'-3*q**2 + 7\n' | b'Let j(x) be the first derivative of -x**4/4 + 7*x**2/2 - 74*x - 1. Differentiate j(q) with respect to q.\n' | b'-3*q**2 + 7\n' | deepmind/math_dataset |
b'Let t(s) = s**3 + 8*s**2 + 5*s + 2. Suppose 6*k = k - 750. Let n = k - -147. What is t(n)?\n' | b'32\n' | b'Let t(s) = s**3 + 8*s**2 + 5*s + 2. Suppose 6*k = k - 750. Let n = k - -147. What is t(n)?\n' | b'32\n' | deepmind/math_dataset |
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