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 2*d - 15*d + 130 = 0. Suppose -9*w = -7*w - d. Solve 0*x = w*x + 2*f - 23, 4*x = -5*f + 32 for x.\n' | b'3\n' | b'Suppose 2*d - 15*d + 130 = 0. Suppose -9*w = -7*w - d. Solve 0*x = w*x + 2*f - 23, 4*x = -5*f + 32 for x.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z, 1 h, and 2 t when four letters picked without replacement from {t: 6, z: 5, h: 4, a: 5}.\n' | b'20/323\n' | b'Calculate prob of picking 1 z, 1 h, and 2 t when four letters picked without replacement from {t: 6, z: 5, h: 4, a: 5}.\n' | b'20/323\n' | deepmind/math_dataset |
b'Simplify (z**13/z)/(z**(-4/15)*z) assuming z is positive.\n' | b'z**(169/15)\n' | b'Simplify (z**13/z)/(z**(-4/15)*z) assuming z is positive.\n' | b'z**(169/15)\n' | deepmind/math_dataset |
b'Suppose -4*d + 14 = -2*h, 5*d + 2*h - 5 = -1. Find the third derivative of 14*w - 14*w - w**d + w**3 wrt w.\n' | b'6\n' | b'Suppose -4*d + 14 = -2*h, 5*d + 2*h - 5 = -1. Find the third derivative of 14*w - 14*w - w**d + w**3 wrt w.\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence ucu when three letters picked without replacement from {u: 10, c: 4}.\n' | b'15/91\n' | b'Calculate prob of sequence ucu when three letters picked without replacement from {u: 10, c: 4}.\n' | b'15/91\n' | deepmind/math_dataset |
b'Suppose j = -0*j + 2. What is the third derivative of -5*z**6 + z**j + 11*z**6 + 5*z**2 wrt z?\n' | b'720*z**3\n' | b'Suppose j = -0*j + 2. What is the third derivative of -5*z**6 + z**j + 11*z**6 + 5*z**2 wrt z?\n' | b'720*z**3\n' | deepmind/math_dataset |
b'Suppose 0*d = d + 1. Let w(c) = -c**3 + 2*c**2 + 2*c + 1. Let b be w(d). Let m(f) = -3*f + 2*f + b*f - 3*f + 3. Determine m(3).\n' | b'-3\n' | b'Suppose 0*d = d + 1. Let w(c) = -c**3 + 2*c**2 + 2*c + 1. Let b be w(d). Let m(f) = -3*f + 2*f + b*f - 3*f + 3. Determine m(3).\n' | b'-3\n' | deepmind/math_dataset |
b'What is the third derivative of q**3 - 2*q**2 - 3*q - 48*q**5 + 32 - 48 + 3*q - 45 wrt q?\n' | b'-2880*q**2 + 6\n' | b'What is the third derivative of q**3 - 2*q**2 - 3*q - 48*q**5 + 32 - 48 + 3*q - 45 wrt q?\n' | b'-2880*q**2 + 6\n' | deepmind/math_dataset |
b'Let b(u) = u**3 - 4*u - 11. Let y be b(3). Solve -t = 3*k + 12, -5*k - 12 - 8 = -y*t for t.\n' | b'0\n' | b'Let b(u) = u**3 - 4*u - 11. Let y be b(3). Solve -t = 3*k + 12, -5*k - 12 - 8 = -y*t for t.\n' | b'0\n' | deepmind/math_dataset |
b'What is the second derivative of -11*i**4 + i - 3*i - 5*i**4 wrt i?\n' | b'-192*i**2\n' | b'What is the second derivative of -11*i**4 + i - 3*i - 5*i**4 wrt i?\n' | b'-192*i**2\n' | deepmind/math_dataset |
b'Simplify (i**(-12)*(i/i**(-1))/i*i*i)/(i**0/(i**1/i)) assuming i is positive.\n' | b'i**(-9)\n' | b'Simplify (i**(-12)*(i/i**(-1))/i*i*i)/(i**0/(i**1/i)) assuming i is positive.\n' | b'i**(-9)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ka when two letters picked without replacement from wiwwkwwaikw.\n' | b'1/55\n' | b'Calculate prob of sequence ka when two letters picked without replacement from wiwwkwwaikw.\n' | b'1/55\n' | deepmind/math_dataset |
b'Let d be ((-3)/(-24))/(133/4256). Solve -k = d*x + 7, 3*k + 2*k + x = 22 for k.\n' | b'5\n' | b'Let d be ((-3)/(-24))/(133/4256). Solve -k = d*x + 7, 3*k + 2*k + x = 22 for k.\n' | b'5\n' | deepmind/math_dataset |
b'Let x(v) = -5*v + 7*v**2 + 2*v - v**2 + 4 - 5*v**2. Calculate x(5).\n' | b'14\n' | b'Let x(v) = -5*v + 7*v**2 + 2*v - v**2 + 4 - 5*v**2. Calculate x(5).\n' | b'14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 4, y: 3, f: 1, h: 9, n: 1}. What is prob of picking 2 h, 1 t, and 1 f?\n' | b'4/85\n' | b'Four letters picked without replacement from {t: 4, y: 3, f: 1, h: 9, n: 1}. What is prob of picking 2 h, 1 t, and 1 f?\n' | b'4/85\n' | deepmind/math_dataset |
b'Let t(c) be the second derivative of -53*c**3/6 + 15*c**2/2 + 75*c. Differentiate t(s) wrt s.\n' | b'-53\n' | b'Let t(c) be the second derivative of -53*c**3/6 + 15*c**2/2 + 75*c. Differentiate t(s) wrt s.\n' | b'-53\n' | deepmind/math_dataset |
b'Simplify (q*q*q**(1/30))/((q**(-2/45)*q)/q)*(q**(-2/7))**(-38) assuming q is positive.\n' | b'q**(8149/630)\n' | b'Simplify (q*q*q**(1/30))/((q**(-2/45)*q)/q)*(q**(-2/7))**(-38) assuming q is positive.\n' | b'q**(8149/630)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {v: 1, o: 1, e: 1, j: 1, n: 1}.\n' | b'1/10\n' | b'Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {v: 1, o: 1, e: 1, j: 1, n: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let s be 2/(((-13)/(-2))/13). Solve 0 = 2*n - 17*x + 21*x - s, -3*x = -2*n - 3 for n.\n' | b'0\n' | b'Let s be 2/(((-13)/(-2))/13). Solve 0 = 2*n - 17*x + 21*x - s, -3*x = -2*n - 3 for n.\n' | b'0\n' | deepmind/math_dataset |
b'Let a(s) be the second derivative of 7*s**3/6 + 35*s**2/2 + 17*s - 3. Calculate a(-8).\n' | b'-21\n' | b'Let a(s) be the second derivative of 7*s**3/6 + 35*s**2/2 + 17*s - 3. Calculate a(-8).\n' | b'-21\n' | deepmind/math_dataset |
b'Let u(s) = -91*s**3 + 3*s**2 + 6*s + 70. Let n(z) = 91*z**3 - 4*z**2 - 8*z - 69. Let f(y) = -3*n(y) - 4*u(y). What is the first derivative of f(j) wrt j?\n' | b'273*j**2\n' | b'Let u(s) = -91*s**3 + 3*s**2 + 6*s + 70. Let n(z) = 91*z**3 - 4*z**2 - 8*z - 69. Let f(y) = -3*n(y) - 4*u(y). What is the first derivative of f(j) wrt j?\n' | b'273*j**2\n' | deepmind/math_dataset |
b'Suppose 112 = -15*l + 11*l. Let b be 3/(-6)*(l - -2). Let p = b - 9. Solve 5*h + 3*w + 3 = 0, -2*w = 2*h + 2*h + p for h.\n' | b'-3\n' | b'Suppose 112 = -15*l + 11*l. Let b be 3/(-6)*(l - -2). Let p = b - 9. Solve 5*h + 3*w + 3 = 0, -2*w = 2*h + 2*h + p for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rrpprrpiir. What is prob of picking 2 i and 2 p?\n' | b'1/70\n' | b'Four letters picked without replacement from rrpprrpiir. What is prob of picking 2 i and 2 p?\n' | b'1/70\n' | deepmind/math_dataset |
b'Suppose 3*o - 34 = o + 4*l, -o + 5*l + 5 = 0. Let f = -40 + 43. What is the second derivative of -60*c**4 + 38*c**4 + o*c + 3*c**3 - 3*c**f wrt c?\n' | b'-264*c**2\n' | b'Suppose 3*o - 34 = o + 4*l, -o + 5*l + 5 = 0. Let f = -40 + 43. What is the second derivative of -60*c**4 + 38*c**4 + o*c + 3*c**3 - 3*c**f wrt c?\n' | b'-264*c**2\n' | deepmind/math_dataset |
b'Suppose 6*a - 11*a = -15. Let f be a/(6/16) - 4. What is the second derivative of -i - 7*i**f - 1 + 1 + 8*i wrt i?\n' | b'-84*i**2\n' | b'Suppose 6*a - 11*a = -15. Let f be a/(6/16) - 4. What is the second derivative of -i - 7*i**f - 1 + 1 + 8*i wrt i?\n' | b'-84*i**2\n' | deepmind/math_dataset |
b'Simplify (b**(-18))**(-39) assuming b is positive.\n' | b'b**702\n' | b'Simplify (b**(-18))**(-39) assuming b is positive.\n' | b'b**702\n' | deepmind/math_dataset |
b'Let m = -7 + 12. Let o = 15 + -10. Let i(h) = -9*h**2 + h**3 + o*h**2 + 2*h - 7*h + 5. Calculate i(m).\n' | b'5\n' | b'Let m = -7 + 12. Let o = 15 + -10. Let i(h) = -9*h**2 + h**3 + o*h**2 + 2*h - 7*h + 5. Calculate i(m).\n' | b'5\n' | deepmind/math_dataset |
b'Let z = -4058 + 4066. Solve -9*f + z*f = 2*o, 2*o + 16 = -5*f for f.\n' | b'-4\n' | b'Let z = -4058 + 4066. Solve -9*f + z*f = 2*o, 2*o + 16 = -5*f for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z(d) = 3*d**2 - 14*d - 2. Let g be z(5). Let t be (30/24)/((-10)/(-24)). Solve -2*u + 20 = -6*u, -4*i - t*u = g for i.\n' | b'3\n' | b'Let z(d) = 3*d**2 - 14*d - 2. Let g be z(5). Let t be (30/24)/((-10)/(-24)). Solve -2*u + 20 = -6*u, -4*i - t*u = g for i.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence ic when two letters picked without replacement from fcfcficc?\n' | b'1/14\n' | b'What is prob of sequence ic when two letters picked without replacement from fcfcficc?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let p(j) be the first derivative of j**4/4 + 8*j**3/3 + j**2/2 + 11*j - 1. Let u be p(-8). What is the second derivative of 3*r**5 - u*r - 3*r**5 - r**5 wrt r?\n' | b'-20*r**3\n' | b'Let p(j) be the first derivative of j**4/4 + 8*j**3/3 + j**2/2 + 11*j - 1. Let u be p(-8). What is the second derivative of 3*r**5 - u*r - 3*r**5 - r**5 wrt r?\n' | b'-20*r**3\n' | deepmind/math_dataset |
b'Suppose -9*s + 8 + 19 = 0. Suppose -s*m - 18 = 3*d, -15 = d - 4*m - 9. Let a be d/7*(-98)/28. Solve x - j - 2 = 1, -13 = -a*x + 5*j for x.\n' | b'1\n' | b'Suppose -9*s + 8 + 19 = 0. Suppose -s*m - 18 = 3*d, -15 = d - 4*m - 9. Let a be d/7*(-98)/28. Solve x - j - 2 = 1, -13 = -a*x + 5*j for x.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 e, and 1 b when three letters picked without replacement from {e: 3, b: 2, f: 13}.\n' | b'13/136\n' | b'Calculate prob of picking 1 f, 1 e, and 1 b when three letters picked without replacement from {e: 3, b: 2, f: 13}.\n' | b'13/136\n' | deepmind/math_dataset |
b'What is prob of sequence ggf when three letters picked without replacement from yqdccqcyyqgyygf?\n' | b'1/1365\n' | b'What is prob of sequence ggf when three letters picked without replacement from yqdccqcyyqgyygf?\n' | b'1/1365\n' | deepmind/math_dataset |
b'Let v(s) = 2*s - 4*s + 2*s - 4*s + 3*s - 9. Calculate v(-15).\n' | b'6\n' | b'Let v(s) = 2*s - 4*s + 2*s - 4*s + 3*s - 9. Calculate v(-15).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((f**(3/5)/f)/f**(-1/2)*(f/(f/((f*f**5*f)/f)))/f**(2/9))/(((f/(f*f/(f**(-1/4)*f)))/f*f)**(14/3)*(f**2)**(2/67)) assuming f is positive.\n' | b'f**(21059/3015)\n' | b'Simplify ((f**(3/5)/f)/f**(-1/2)*(f/(f/((f*f**5*f)/f)))/f**(2/9))/(((f/(f*f/(f**(-1/4)*f)))/f*f)**(14/3)*(f**2)**(2/67)) assuming f is positive.\n' | b'f**(21059/3015)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 5, t: 3, q: 4}. Give prob of sequence qqqt.\n' | b'1/165\n' | b'Four letters picked without replacement from {r: 5, t: 3, q: 4}. Give prob of sequence qqqt.\n' | b'1/165\n' | deepmind/math_dataset |
b'Simplify (m*m/m**(22/5))/m**(-35) assuming m is positive.\n' | b'm**(163/5)\n' | b'Simplify (m*m/m**(22/5))/m**(-35) assuming m is positive.\n' | b'm**(163/5)\n' | deepmind/math_dataset |
b'Let u(n) = -n**2 + n + 1. Let k = -292 + 290. What is u(k)?\n' | b'-5\n' | b'Let u(n) = -n**2 + n + 1. Let k = -292 + 290. What is u(k)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let w(j) be the first derivative of -6*j**5/5 - 2*j**3 + 8. Find the third derivative of w(b) wrt b.\n' | b'-144*b\n' | b'Let w(j) be the first derivative of -6*j**5/5 - 2*j**3 + 8. Find the third derivative of w(b) wrt b.\n' | b'-144*b\n' | deepmind/math_dataset |
b'Simplify (p**(-3)*p*p*p**(-1/6))/(((p**(1/5)*p)/p)/p**(-1))*(p**0)**(2/53)*p/p**(2/5)*p/p**(1/3) assuming p is positive.\n' | b'p**(-11/10)\n' | b'Simplify (p**(-3)*p*p*p**(-1/6))/(((p**(1/5)*p)/p)/p**(-1))*(p**0)**(2/53)*p/p**(2/5)*p/p**(1/3) assuming p is positive.\n' | b'p**(-11/10)\n' | deepmind/math_dataset |
b'Let u(t) = 5*t**2 + 2*t - 4. Let a(l) = 4*l**2 + 3*l - 5. Let p(b) = 4*a(b) - 3*u(b). Let x = -255 - -255. Suppose x = 8*h + 70 - 22. Give p(h).\n' | b'-8\n' | b'Let u(t) = 5*t**2 + 2*t - 4. Let a(l) = 4*l**2 + 3*l - 5. Let p(b) = 4*a(b) - 3*u(b). Let x = -255 - -255. Suppose x = 8*h + 70 - 22. Give p(h).\n' | b'-8\n' | deepmind/math_dataset |
b'Let k be ((-7)/63 - -6) + (33/27)/11. Solve -l = 6*c + 9, -l - 3*c + 0*c = k for l.\n' | b'-3\n' | b'Let k be ((-7)/63 - -6) + (33/27)/11. Solve -l = 6*c + 9, -l - 3*c + 0*c = k for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence wxww when four letters picked without replacement from xxwxxxxwxwxwxxwxwxx.\n' | b'65/3876\n' | b'Calculate prob of sequence wxww when four letters picked without replacement from xxwxxxxwxwxwxxwxwxx.\n' | b'65/3876\n' | deepmind/math_dataset |
b'Let b be (306/(-510))/((-18)/(-10) - 2). Solve 0 = -b*i + 4*s, 2*s - 26 = -5*i - 0*s for i.\n' | b'4\n' | b'Let b be (306/(-510))/((-18)/(-10) - 2). Solve 0 = -b*i + 4*s, 2*s - 26 = -5*i - 0*s for i.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((f*f**(-1)*f)**13)**(-34) assuming f is positive.\n' | b'f**(-442)\n' | b'Simplify ((f*f**(-1)*f)**13)**(-34) assuming f is positive.\n' | b'f**(-442)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 2, e: 1, a: 1, f: 9}. Give prob of sequence eaf.\n' | b'3/572\n' | b'Three letters picked without replacement from {w: 2, e: 1, a: 1, f: 9}. Give prob of sequence eaf.\n' | b'3/572\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 15, y: 3}. What is prob of sequence yyiy?\n' | b'1/816\n' | b'Four letters picked without replacement from {i: 15, y: 3}. What is prob of sequence yyiy?\n' | b'1/816\n' | deepmind/math_dataset |
b'Suppose -5*m + j + 0 = 4, 20 = m + 5*j. Suppose m = h + 1 - 5. Let p = 3 - h. Let z(s) = -5*s**2 - 2*s - 1. What is z(p)?\n' | b'-4\n' | b'Suppose -5*m + j + 0 = 4, 20 = m + 5*j. Suppose m = h + 1 - 5. Let p = 3 - h. Let z(s) = -5*s**2 - 2*s - 1. What is z(p)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify o**(4/7)*(o/((o/(o*o**13*o))/o*o*o))/o assuming o is positive.\n' | b'o**(95/7)\n' | b'Simplify o**(4/7)*(o/((o/(o*o**13*o))/o*o*o))/o assuming o is positive.\n' | b'o**(95/7)\n' | deepmind/math_dataset |
b'What is the first derivative of 17*x**4 + 91 - 25 + x**4 + 6*x**4 wrt x?\n' | b'96*x**3\n' | b'What is the first derivative of 17*x**4 + 91 - 25 + x**4 + 6*x**4 wrt x?\n' | b'96*x**3\n' | deepmind/math_dataset |
b'Let d(o) = -o - 1 - o + 4*o**2 + 0*o**2. Let f = -344 + 346. Calculate d(f).\n' | b'11\n' | b'Let d(o) = -o - 1 - o + 4*o**2 + 0*o**2. Let f = -344 + 346. Calculate d(f).\n' | b'11\n' | deepmind/math_dataset |
b'Let i = 0 - -20. Suppose 5*o + 5 = -5*a, 4*a + o - 3*o = i. Let z(r) = 2*r + 4. Give z(a).\n' | b'10\n' | b'Let i = 0 - -20. Suppose 5*o + 5 = -5*a, 4*a + o - 3*o = i. Let z(r) = 2*r + 4. Give z(a).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (f**(1/11)/f**(3/14))**(35/4) assuming f is positive.\n' | b'f**(-95/88)\n' | b'Simplify (f**(1/11)/f**(3/14))**(35/4) assuming f is positive.\n' | b'f**(-95/88)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vvvdvdvvdvv. Give prob of sequence ddd.\n' | b'1/165\n' | b'Three letters picked without replacement from vvvdvdvvdvv. Give prob of sequence ddd.\n' | b'1/165\n' | deepmind/math_dataset |
b'Let h(a) = a**2 - a - 5. Let m(g) = -4*g - g + 11 + 7*g - 7. Let p(q) = 2*h(q) + 3*m(q). Calculate p(-2).\n' | b'2\n' | b'Let h(a) = a**2 - a - 5. Let m(g) = -4*g - g + 11 + 7*g - 7. Let p(q) = 2*h(q) + 3*m(q). Calculate p(-2).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 u and 2 w when four letters picked without replacement from {w: 3, u: 11}?\n' | b'15/91\n' | b'What is prob of picking 2 u and 2 w when four letters picked without replacement from {w: 3, u: 11}?\n' | b'15/91\n' | deepmind/math_dataset |
b'Simplify ((f*f**7*f)/((f/(f**(-3)*f)*f)/f))/(f/((((f/f**(-1))/f)/f)/f)*f*f)**(1/6)*((f/(f*f**(-2)*f*f))/f)**(-2/27)*f**(-8/5)*f/(f/f**3) assuming f is positive.\n' | b'f**(919/135)\n' | b'Simplify ((f*f**7*f)/((f/(f**(-3)*f)*f)/f))/(f/((((f/f**(-1))/f)/f)/f)*f*f)**(1/6)*((f/(f*f**(-2)*f*f))/f)**(-2/27)*f**(-8/5)*f/(f/f**3) assuming f is positive.\n' | b'f**(919/135)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 4, e: 3, c: 1}.\n' | b'3/7\n' | b'Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 4, e: 3, c: 1}.\n' | b'3/7\n' | deepmind/math_dataset |
b'Let r be ((-145)/87)/((-5)/9). What is the second derivative of 418*o**3 - 65 - 390*o**3 - o**2 + r*o + 31 wrt o?\n' | b'168*o - 2\n' | b'Let r be ((-145)/87)/((-5)/9). What is the second derivative of 418*o**3 - 65 - 390*o**3 - o**2 + r*o + 31 wrt o?\n' | b'168*o - 2\n' | deepmind/math_dataset |
b'Calculate prob of sequence nvn when three letters picked without replacement from nnvnddnnndndn.\n' | b'14/429\n' | b'Calculate prob of sequence nvn when three letters picked without replacement from nnvnddnnndndn.\n' | b'14/429\n' | deepmind/math_dataset |
b'Let c(s) = -10*s - 2. Let q(o) = -o. Let z(w) = -c(w) + 5*q(w). Give z(-2).\n' | b'-8\n' | b'Let c(s) = -10*s - 2. Let q(o) = -o. Let z(w) = -c(w) + 5*q(w). Give z(-2).\n' | b'-8\n' | deepmind/math_dataset |
b'Let l(n) = -n + 2. Let w be (2 - (-18)/(-3))/2. Let c(b) = -b + 4. Let t be c(w). Suppose -11*i + t*i = -30. Determine l(i).\n' | b'-4\n' | b'Let l(n) = -n + 2. Let w be (2 - (-18)/(-3))/2. Let c(b) = -b + 4. Let t be c(w). Suppose -11*i + t*i = -30. Determine l(i).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from knfjh. What is prob of sequence fh?\n' | b'1/20\n' | b'Two letters picked without replacement from knfjh. What is prob of sequence fh?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let v(s) = 21*s**2 + s. Let i be v(-1). Solve 25 = -k - 4*k, -5*a + 5*k = -i for a.\n' | b'-1\n' | b'Let v(s) = 21*s**2 + s. Let i be v(-1). Solve 25 = -k - 4*k, -5*a + 5*k = -i for a.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 m when two letters picked without replacement from mmmmmmmmmmmp.\n' | b'1/6\n' | b'Calculate prob of picking 1 p and 1 m when two letters picked without replacement from mmmmmmmmmmmp.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let j(b) = -b**2 + b - 1. Let v = -60 - -62. Calculate j(v).\n' | b'-3\n' | b'Let j(b) = -b**2 + b - 1. Let v = -60 - -62. Calculate j(v).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (m**(-1/5)*m**(-3/4))**(-1/31)*((m/(((((m/(m**1/m))/m)/m)/m)/m))/m**(-9/2))**(-3/10) assuming m is positive.\n' | b'm**(-781/310)\n' | b'Simplify (m**(-1/5)*m**(-3/4))**(-1/31)*((m/(((((m/(m**1/m))/m)/m)/m)/m))/m**(-9/2))**(-3/10) assuming m is positive.\n' | b'm**(-781/310)\n' | deepmind/math_dataset |
b'Suppose 5*d + 4*v = 2*d + 26, -2*d + 9 = v. What is the derivative of 11 - 18 + d*r**4 - 6*r**4 wrt r?\n' | b'-16*r**3\n' | b'Suppose 5*d + 4*v = 2*d + 26, -2*d + 9 = v. What is the derivative of 11 - 18 + d*r**4 - 6*r**4 wrt r?\n' | b'-16*r**3\n' | deepmind/math_dataset |
b'Simplify p**(-2)/(p/(p/((p*((p**(-2)/p)/p)/p)/p))) assuming p is positive.\n' | b'p**3\n' | b'Simplify p**(-2)/(p/(p/((p*((p**(-2)/p)/p)/p)/p))) assuming p is positive.\n' | b'p**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence xpe when three letters picked without replacement from elopxlx.\n' | b'1/105\n' | b'Calculate prob of sequence xpe when three letters picked without replacement from elopxlx.\n' | b'1/105\n' | deepmind/math_dataset |
b'Calculate prob of sequence dnn when three letters picked without replacement from dpnpndndknnpn.\n' | b'15/286\n' | b'Calculate prob of sequence dnn when three letters picked without replacement from dpnpndndknnpn.\n' | b'15/286\n' | deepmind/math_dataset |
b'What is prob of sequence uuux when four letters picked without replacement from xxxxxxxxxuuxxxxxux?\n' | b'1/816\n' | b'What is prob of sequence uuux when four letters picked without replacement from xxxxxxxxxuuxxxxxux?\n' | b'1/816\n' | deepmind/math_dataset |
b'Simplify ((a*a**(-4/11))/a*a/(a**12*a*a))**16 assuming a is positive.\n' | b'a**(-2352/11)\n' | b'Simplify ((a*a**(-4/11))/a*a/(a**12*a*a))**16 assuming a is positive.\n' | b'a**(-2352/11)\n' | deepmind/math_dataset |
b'Let b(o) = 115*o - 36*o - 27 - 11*o. Let r(y) = 67*y - 29. Let t(i) = -3*b(i) + 2*r(i). Differentiate t(a) wrt a.\n' | b'-70\n' | b'Let b(o) = 115*o - 36*o - 27 - 11*o. Let r(y) = 67*y - 29. Let t(i) = -3*b(i) + 2*r(i). Differentiate t(a) wrt a.\n' | b'-70\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vmzmynh. What is prob of sequence vyz?\n' | b'1/210\n' | b'Three letters picked without replacement from vmzmynh. What is prob of sequence vyz?\n' | b'1/210\n' | deepmind/math_dataset |
b'Suppose -90 = 3*d - 105. Solve 5*o + 3*v + d - 10 = 0, 2*o - 6 = -2*v for o.\n' | b'-2\n' | b'Suppose -90 = 3*d - 105. Solve 5*o + 3*v + d - 10 = 0, 2*o - 6 = -2*v for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((p*p*p*p/(p**(-1/9)*p)*p)/p*p*p**(-3)*p)**(19/4)/(p**(-2)/(p**(-7)/p*p))**(2/17) assuming p is positive.\n' | b'p**(5777/612)\n' | b'Simplify ((p*p*p*p/(p**(-1/9)*p)*p)/p*p*p**(-3)*p)**(19/4)/(p**(-2)/(p**(-7)/p*p))**(2/17) assuming p is positive.\n' | b'p**(5777/612)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 6, v: 1, h: 1, c: 3, a: 1, u: 4}. Give prob of picking 1 c, 1 v, and 1 w.\n' | b'9/280\n' | b'Three letters picked without replacement from {w: 6, v: 1, h: 1, c: 3, a: 1, u: 4}. Give prob of picking 1 c, 1 v, and 1 w.\n' | b'9/280\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 6, q: 1, d: 8}. What is prob of sequence eee?\n' | b'4/91\n' | b'Three letters picked without replacement from {e: 6, q: 1, d: 8}. What is prob of sequence eee?\n' | b'4/91\n' | deepmind/math_dataset |
b'Let z(v) be the second derivative of -177*v**8/28 - v**7/42 - v**6/30 - 4105*v**4/6 - 7552*v. Find the third derivative of z(m) wrt m.\n' | b'-42480*m**3 - 60*m**2 - 24*m\n' | b'Let z(v) be the second derivative of -177*v**8/28 - v**7/42 - v**6/30 - 4105*v**4/6 - 7552*v. Find the third derivative of z(m) wrt m.\n' | b'-42480*m**3 - 60*m**2 - 24*m\n' | deepmind/math_dataset |
b'Let j(p) be the third derivative of -p**4/24 - p**3/6 + 23*p**2. What is j(-2)?\n' | b'1\n' | b'Let j(p) be the third derivative of -p**4/24 - p**3/6 + 23*p**2. What is j(-2)?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, l: 5, y: 2, f: 2, p: 5, q: 1}. What is prob of picking 1 s and 1 f?\n' | b'1/60\n' | b'Two letters picked without replacement from {s: 1, l: 5, y: 2, f: 2, p: 5, q: 1}. What is prob of picking 1 s and 1 f?\n' | b'1/60\n' | deepmind/math_dataset |
b'Simplify ((d*(d/(d/d**(3/2)))/d)/d*d**(-10)*d*d*d)**(2/51) assuming d is positive.\n' | b'd**(-13/51)\n' | b'Simplify ((d*(d/(d/d**(3/2)))/d)/d*d**(-10)*d*d*d)**(2/51) assuming d is positive.\n' | b'd**(-13/51)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 y when three letters picked without replacement from {y: 9, m: 10}.\n' | b'28/323\n' | b'Calculate prob of picking 3 y when three letters picked without replacement from {y: 9, m: 10}.\n' | b'28/323\n' | deepmind/math_dataset |
b'Suppose 10*b = 32 + 28. Let o(n) = 4*n**3 - 11*n**2 - 4*n**2 + 20*n**2 - 3*n**3 - b*n + 6. Give o(-6).\n' | b'6\n' | b'Suppose 10*b = 32 + 28. Let o(n) = 4*n**3 - 11*n**2 - 4*n**2 + 20*n**2 - 3*n**3 - b*n + 6. Give o(-6).\n' | b'6\n' | deepmind/math_dataset |
b'Let k(r) be the first derivative of r**6/24 - r**3/6 + 6*r**2 + 3. Let i(j) be the second derivative of k(j). What is the derivative of i(s) wrt s?\n' | b'15*s**2\n' | b'Let k(r) be the first derivative of r**6/24 - r**3/6 + 6*r**2 + 3. Let i(j) be the second derivative of k(j). What is the derivative of i(s) wrt s?\n' | b'15*s**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from cncb.\n' | b'1/6\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from cncb.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let b(l) be the first derivative of 1/2*l**2 + 3 - l. Calculate b(2).\n' | b'1\n' | b'Let b(l) be the first derivative of 1/2*l**2 + 3 - l. Calculate b(2).\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbbxbbbbbxbxbxbbbb. What is prob of picking 1 x and 3 b?\n' | b'364/765\n' | b'Four letters picked without replacement from bbbxbbbbbxbxbxbbbb. What is prob of picking 1 x and 3 b?\n' | b'364/765\n' | deepmind/math_dataset |
b'Suppose 115 - 47 = 34*j - 238. Solve -35 = 3*l + 5*z, -z = -5*l + 3*z - j for l.\n' | b'-5\n' | b'Suppose 115 - 47 = 34*j - 238. Solve -35 = 3*l + 5*z, -z = -5*l + 3*z - j for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(f) be the third derivative of -f**6/20 - 7*f**5/20 + f**4/4 - 3587*f**3/3 + 486*f**2 + 2. What is the derivative of i(r) wrt r?\n' | b'-18*r**2 - 42*r + 6\n' | b'Let i(f) be the third derivative of -f**6/20 - 7*f**5/20 + f**4/4 - 3587*f**3/3 + 486*f**2 + 2. What is the derivative of i(r) wrt r?\n' | b'-18*r**2 - 42*r + 6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uxbxcjbbxbuj. What is prob of sequence bb?\n' | b'1/11\n' | b'Two letters picked without replacement from uxbxcjbbxbuj. What is prob of sequence bb?\n' | b'1/11\n' | deepmind/math_dataset |
b'Let d(v) be the second derivative of 7*v**6/360 - 3*v**5/40 + v**4/3 + 17*v. Let r(a) be the third derivative of d(a). Differentiate r(f) with respect to f.\n' | b'14\n' | b'Let d(v) be the second derivative of 7*v**6/360 - 3*v**5/40 + v**4/3 + 17*v. Let r(a) be the third derivative of d(a). Differentiate r(f) with respect to f.\n' | b'14\n' | deepmind/math_dataset |
b'Suppose 8 = -2*c - 3*x, -x = -c - 4*c + 14. Suppose -8 = -5*p + 4*a, -c*p + 5*a - 7 + 0 = 0. Let n = 33 - 17. Solve h + u + 7 = 6*h, -2*h + n = p*u for h.\n' | b'2\n' | b'Suppose 8 = -2*c - 3*x, -x = -c - 4*c + 14. Suppose -8 = -5*p + 4*a, -c*p + 5*a - 7 + 0 = 0. Let n = 33 - 17. Solve h + u + 7 = 6*h, -2*h + n = p*u for h.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((n**(-5/9)*n/(n*n/(n/n**3)*n))**(-1))**(-4/37) assuming n is positive.\n' | b'n**(-164/333)\n' | b'Simplify ((n**(-5/9)*n/(n*n/(n/n**3)*n))**(-1))**(-4/37) assuming n is positive.\n' | b'n**(-164/333)\n' | deepmind/math_dataset |
b'What is prob of picking 1 k, 1 r, and 1 m when three letters picked without replacement from lkxmrrrkrkkkmmmk?\n' | b'6/35\n' | b'What is prob of picking 1 k, 1 r, and 1 m when three letters picked without replacement from lkxmrrrkrkkkmmmk?\n' | b'6/35\n' | deepmind/math_dataset |
b'Let a = -6874 + 6876. Let v(m) = -3*m**3 + 3*m**2 - 12*m + 23. Give v(a).\n' | b'-13\n' | b'Let a = -6874 + 6876. Let v(m) = -3*m**3 + 3*m**2 - 12*m + 23. Give v(a).\n' | b'-13\n' | deepmind/math_dataset |
b'Four letters picked without replacement from neelwelwewze. Give prob of picking 2 e, 1 z, and 1 w.\n' | b'2/33\n' | b'Four letters picked without replacement from neelwelwewze. Give prob of picking 2 e, 1 z, and 1 w.\n' | b'2/33\n' | deepmind/math_dataset |
b'Let u(y) be the second derivative of y**6/360 + y**5/60 - 11*y**3/6 - y**2/2 + y + 66. Let a(k) be the second derivative of u(k). Determine a(-2).\n' | b'0\n' | b'Let u(y) be the second derivative of y**6/360 + y**5/60 - 11*y**3/6 - y**2/2 + y + 66. Let a(k) be the second derivative of u(k). Determine a(-2).\n' | b'0\n' | deepmind/math_dataset |
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