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'Four letters picked without replacement from ccccc. Give prob of picking 4 c.\n' | b'1\n' | b'Four letters picked without replacement from ccccc. Give prob of picking 4 c.\n' | b'1\n' | deepmind/math_dataset |
b'Let w(k) = 4*k**2 + k - 101*k**3 - 102*k**3 + 308*k**3 - 104*k**3 + 2*k. Suppose -3*n = -5*f - 4 - 0, 0 = -5*f - 3*n - 16. Give w(f).\n' | b'2\n' | b'Let w(k) = 4*k**2 + k - 101*k**3 - 102*k**3 + 308*k**3 - 104*k**3 + 2*k. Suppose -3*n = -5*f - 4 - 0, 0 = -5*f - 3*n - 16. Give w(f).\n' | b'2\n' | deepmind/math_dataset |
b'Let c(v) = 4*v - 9. Let w = 12 + -9. Let x be c(w). Find the third derivative of 3*m + 3*m**2 - 2*m**2 - x*m - 5*m**5 wrt m.\n' | b'-300*m**2\n' | b'Let c(v) = 4*v - 9. Let w = 12 + -9. Let x be c(w). Find the third derivative of 3*m + 3*m**2 - 2*m**2 - x*m - 5*m**5 wrt m.\n' | b'-300*m**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 2, o: 3, y: 1, h: 1}. What is prob of picking 2 o and 1 h?\n' | b'3/35\n' | b'Three letters picked without replacement from {a: 2, o: 3, y: 1, h: 1}. What is prob of picking 2 o and 1 h?\n' | b'3/35\n' | deepmind/math_dataset |
b'Simplify ((n**(1/3)*n)/(n*n**(-10)*n*n))**(2/15)*(n/(n**(-1/3)*n)*n)**33*(n**1)**(1/15) assuming n is positive.\n' | b'n**(2033/45)\n' | b'Simplify ((n**(1/3)*n)/(n*n**(-10)*n*n))**(2/15)*(n/(n**(-1/3)*n)*n)**33*(n**1)**(1/15) assuming n is positive.\n' | b'n**(2033/45)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffhhhh. What is prob of sequence fhf?\n' | b'1/15\n' | b'Three letters picked without replacement from ffhhhh. What is prob of sequence fhf?\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 1 h when two letters picked without replacement from gxhghxxzzxxxxzhazz?\n' | b'2/51\n' | b'What is prob of picking 1 g and 1 h when two letters picked without replacement from gxhghxxzzxxxxzhazz?\n' | b'2/51\n' | deepmind/math_dataset |
b'Let v = 11 + -6. Let k(b) be the third derivative of -b**5/60 + 5*b**4/24 - b**3/3 + b**2. Calculate k(v).\n' | b'-2\n' | b'Let v = 11 + -6. Let k(b) be the third derivative of -b**5/60 + 5*b**4/24 - b**3/3 + b**2. Calculate k(v).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i be 222/8 + 2 + (-7)/4. Suppose -4*q - 5*d = -i, 2*d - 17 = 4*q - 73. Solve 5*l + g + 5 = 0, 3*g + q = 4*l + 7*g for l.\n' | b'-2\n' | b'Let i be 222/8 + 2 + (-7)/4. Suppose -4*q - 5*d = -i, 2*d - 17 = 4*q - 73. Solve 5*l + g + 5 = 0, 3*g + q = 4*l + 7*g for l.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence ha when two letters picked without replacement from gkhkkgkrrkhhark?\n' | b'1/70\n' | b'What is prob of sequence ha when two letters picked without replacement from gkhkkgkrrkhhark?\n' | b'1/70\n' | deepmind/math_dataset |
b'Let i = 599 + -888. Let q = i + 294. Solve q*h + 2*r + 5 = 0, 0 = -h + r + 1 - 2 for h.\n' | b'-1\n' | b'Let i = 599 + -888. Let q = i + 294. Solve q*h + 2*r + 5 = 0, 0 = -h + r + 1 - 2 for h.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (v/(v**(-1/2)/v))**(-1/8)/(((v/((((v/(v*v**(-2/15)))/v)/v)/v))/v)/(v*v/(v**(-1/2)*v))) assuming v is positive.\n' | b'v**(-403/240)\n' | b'Simplify (v/(v**(-1/2)/v))**(-1/8)/(((v/((((v/(v*v**(-2/15)))/v)/v)/v))/v)/(v*v/(v**(-1/2)*v))) assuming v is positive.\n' | b'v**(-403/240)\n' | deepmind/math_dataset |
b'Suppose 0 = -29*r - 16*r + 450. Let x(i) be the second derivative of -r*i + 0 - 1/2*i**2 - 3/2*i**3. What is the derivative of x(c) wrt c?\n' | b'-9\n' | b'Suppose 0 = -29*r - 16*r + 450. Let x(i) be the second derivative of -r*i + 0 - 1/2*i**2 - 3/2*i**3. What is the derivative of x(c) wrt c?\n' | b'-9\n' | deepmind/math_dataset |
b'Let o(g) = g**2 + 11*g - 32. Let v be o(-13). Let f(q) be the second derivative of -q**3/6 + q**2 + 13*q + 109. Give f(v).\n' | b'8\n' | b'Let o(g) = g**2 + 11*g - 32. Let v be o(-13). Let f(q) be the second derivative of -q**3/6 + q**2 + 13*q + 109. Give f(v).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {s: 1, n: 1, r: 2, u: 5, k: 1}.\n' | b'1/9\n' | b'Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {s: 1, n: 1, r: 2, u: 5, k: 1}.\n' | b'1/9\n' | deepmind/math_dataset |
b'Let g(h) = -h**2 + 1. Let i be g(-1). Let l(s) = s**2 + 4*s - 9. Let m be l(-6). Solve j + 3 = y, -j + i*j + m*y = 1 for j.\n' | b'-4\n' | b'Let g(h) = -h**2 + 1. Let i be g(-1). Let l(s) = s**2 + 4*s - 9. Let m be l(-6). Solve j + 3 = y, -j + i*j + m*y = 1 for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 12 = a + 2*l + 3, 4*a - 5*l - 88 = 0. Suppose -5*r = -a - 3. Let g(j) = -j**2 - j - 1 + 3*j - 1. Determine g(r).\n' | b'-10\n' | b'Suppose 12 = a + 2*l + 3, 4*a - 5*l - 88 = 0. Suppose -5*r = -a - 3. Let g(j) = -j**2 - j - 1 + 3*j - 1. Determine g(r).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify k**(-2/15)*((k*k**(-2/7)/k)/k*k*k*k*k)/k*(((k*k**(-5)*k*k)/k)/k)/(k*k**(2/5)) assuming k is positive.\n' | b'k**(-401/105)\n' | b'Simplify k**(-2/15)*((k*k**(-2/7)/k)/k*k*k*k*k)/k*(((k*k**(-5)*k*k)/k)/k)/(k*k**(2/5)) assuming k is positive.\n' | b'k**(-401/105)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 17, x: 3}. Give prob of sequence xx.\n' | b'3/190\n' | b'Two letters picked without replacement from {h: 17, x: 3}. Give prob of sequence xx.\n' | b'3/190\n' | deepmind/math_dataset |
b'Let q(s) = -2*s - 8. Let b(z) = -z - 4. Let h(a) = 13*b(a) - 6*q(a). Suppose 70 + 130 = -10*j. Let y = 15 + j. Calculate h(y).\n' | b'1\n' | b'Let q(s) = -2*s - 8. Let b(z) = -z - 4. Let h(a) = 13*b(a) - 6*q(a). Suppose 70 + 130 = -10*j. Let y = 15 + j. Calculate h(y).\n' | b'1\n' | deepmind/math_dataset |
b'Let v(b) = 7*b - 4. Let z be v(1). Let a(o) = -2*o**3 + 3 + 5*o**z - 5*o - 293*o**2 - 2*o**3 + 288*o**2. Determine a(5).\n' | b'-22\n' | b'Let v(b) = 7*b - 4. Let z be v(1). Let a(o) = -2*o**3 + 3 + 5*o**z - 5*o - 293*o**2 - 2*o**3 + 288*o**2. Determine a(5).\n' | b'-22\n' | deepmind/math_dataset |
b'Simplify (p**(-2/7))**(2/81)/((p**3*p)/(p/((p*p**(-1/2)/p*p)/p))) assuming p is positive.\n' | b'p**(-2843/1134)\n' | b'Simplify (p**(-2/7))**(2/81)/((p**3*p)/(p/((p*p**(-1/2)/p*p)/p))) assuming p is positive.\n' | b'p**(-2843/1134)\n' | deepmind/math_dataset |
b'Simplify (q/(q*q*q**(-14)*q)*q)**(-7/5) assuming q is positive.\n' | b'q**(-91/5)\n' | b'Simplify (q/(q*q*q**(-14)*q)*q)**(-7/5) assuming q is positive.\n' | b'q**(-91/5)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ifih when four letters picked without replacement from zihppfi.\n' | b'1/420\n' | b'Calculate prob of sequence ifih when four letters picked without replacement from zihppfi.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let d(q) = q**3 + 9*q**2 + 14*q - 2. Let z be d(-7). Let v be 10 - (-3)/(z + -1). Suppose 18 = r - 10. Solve -11 = -3*p + w - r, 0 = p - w + v for p.\n' | b'-4\n' | b'Let d(q) = q**3 + 9*q**2 + 14*q - 2. Let z be d(-7). Let v be 10 - (-3)/(z + -1). Suppose 18 = r - 10. Solve -11 = -3*p + w - r, 0 = p - w + v for p.\n' | b'-4\n' | deepmind/math_dataset |
b'Let t(h) = -2*h + 7. Let f be t(4). Let r(w) = 8*w**2 + 2*w + 1. Determine r(f).\n' | b'7\n' | b'Let t(h) = -2*h + 7. Let f be t(4). Let r(w) = 8*w**2 + 2*w + 1. Determine r(f).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (t*(((t*t**(2/3)*t)/t)/t)/t)**(-6/5)/((t*t**(2/19))/((t/(((t/(t**5*t))/t)/t*t))/t*t)) assuming t is positive.\n' | b't**(484/95)\n' | b'Simplify (t*(((t*t**(2/3)*t)/t)/t)/t)**(-6/5)/((t*t**(2/19))/((t/(((t/(t**5*t))/t)/t*t))/t*t)) assuming t is positive.\n' | b't**(484/95)\n' | deepmind/math_dataset |
b'Simplify (o/(o/((o*o**(-9))/o*o*o)))/o**(2/29) assuming o is positive.\n' | b'o**(-205/29)\n' | b'Simplify (o/(o/((o*o**(-9))/o*o*o)))/o**(2/29) assuming o is positive.\n' | b'o**(-205/29)\n' | deepmind/math_dataset |
b'Let y(q) be the first derivative of -q**2/2 + 3*q + 3. Suppose -5*d = -2 + 22. What is y(d)?\n' | b'7\n' | b'Let y(q) be the first derivative of -q**2/2 + 3*q + 3. Suppose -5*d = -2 + 22. What is y(d)?\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 4*r = -r + 10. Suppose 3*p - 6 = p. Find the second derivative of 3 + p*b**2 - 3 + r*b wrt b.\n' | b'6\n' | b'Suppose 4*r = -r + 10. Suppose 3*p - 6 = p. Find the second derivative of 3 + p*b**2 - 3 + r*b wrt b.\n' | b'6\n' | deepmind/math_dataset |
b'Let d(o) = -13 + o**2 + 15*o - 18 - 16 + 40. Calculate d(-16).\n' | b'9\n' | b'Let d(o) = -13 + o**2 + 15*o - 18 - 16 + 40. Calculate d(-16).\n' | b'9\n' | deepmind/math_dataset |
b'Simplify (z/(z**(-2/7)/z))**(23/5)*(z/(z*(z*z**(2/3)*z)/z))**(-41) assuming z is positive.\n' | b'z**(8279/105)\n' | b'Simplify (z/(z**(-2/7)/z))**(23/5)*(z/(z*(z*z**(2/3)*z)/z))**(-41) assuming z is positive.\n' | b'z**(8279/105)\n' | deepmind/math_dataset |
b'Let d be (5/(-7))/(5/(-70)*2). Solve -b + 4*i - 8 = 0, d*i - 4 = b + 6 for b.\n' | b'0\n' | b'Let d be (5/(-7))/(5/(-70)*2). Solve -b + 4*i - 8 = 0, d*i - 4 = b + 6 for b.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 8, r: 2, e: 3, b: 4}. Give prob of picking 1 b, 1 r, and 2 d.\n' | b'8/85\n' | b'Four letters picked without replacement from {d: 8, r: 2, e: 3, b: 4}. Give prob of picking 1 b, 1 r, and 2 d.\n' | b'8/85\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, x: 2, f: 1, q: 4, g: 3}. Give prob of sequence qxqw.\n' | b'2/495\n' | b'Four letters picked without replacement from {w: 2, x: 2, f: 1, q: 4, g: 3}. Give prob of sequence qxqw.\n' | b'2/495\n' | deepmind/math_dataset |
b'Suppose 3*r - 11 = -2*c, -4*r + 17 = 12*c - 9*c. Let m(o) = 6*o**2 - 41*o**2 + o**3 + 15*o**2 + 13*o**2. Give m(c).\n' | b'0\n' | b'Suppose 3*r - 11 = -2*c, -4*r + 17 = 12*c - 9*c. Let m(o) = 6*o**2 - 41*o**2 + o**3 + 15*o**2 + 13*o**2. Give m(c).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -s = 4*i - 15, 6*s - 4*s - 3*i + 3 = 0. Find the second derivative of 1 - 248*j**4 + 187*j**4 + 8*j - s wrt j.\n' | b'-732*j**2\n' | b'Suppose -s = 4*i - 15, 6*s - 4*s - 3*i + 3 = 0. Find the second derivative of 1 - 248*j**4 + 187*j**4 + 8*j - s wrt j.\n' | b'-732*j**2\n' | deepmind/math_dataset |
b'Suppose 0 = 5*s - 3*t + 37, -2*t = 4*s - s + 7. Let w(n) be the second derivative of -n**4/12 - 2*n**3/3 + 2*n**2 + n. Calculate w(s).\n' | b'-1\n' | b'Suppose 0 = 5*s - 3*t + 37, -2*t = 4*s - s + 7. Let w(n) be the second derivative of -n**4/12 - 2*n**3/3 + 2*n**2 + n. Calculate w(s).\n' | b'-1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gggggg. Give prob of picking 3 g.\n' | b'1\n' | b'Three letters picked without replacement from gggggg. Give prob of picking 3 g.\n' | b'1\n' | deepmind/math_dataset |
b'Let d(m) be the third derivative of -13/8*m**4 + 28/3*m**3 - 27*m**2 + 0 + 0*m. Differentiate d(z) with respect to z.\n' | b'-39\n' | b'Let d(m) be the third derivative of -13/8*m**4 + 28/3*m**3 - 27*m**2 + 0 + 0*m. Differentiate d(z) with respect to z.\n' | b'-39\n' | deepmind/math_dataset |
b'Suppose 0 = -4*i + 4 + 12. Let w = i + 1. Solve 0 = -2*y - 0*z + z - w, 0 = 5*y + 3*z + 40 for y.\n' | b'-5\n' | b'Suppose 0 = -4*i + 4 + 12. Let w = i + 1. Solve 0 = -2*y - 0*z + z - w, 0 = 5*y + 3*z + 40 for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((c/c**(-2/7))/c)**(1/26)*(c*c**10)/(c/(c/c**(5/3))) assuming c is positive.\n' | b'c**(2551/273)\n' | b'Simplify ((c/c**(-2/7))/c)**(1/26)*(c*c**10)/(c/(c/c**(5/3))) assuming c is positive.\n' | b'c**(2551/273)\n' | deepmind/math_dataset |
b'Let i(k) be the second derivative of -171*k**5/4 + 595*k**2/2 - 1542*k. Find the first derivative of i(v) wrt v.\n' | b'-2565*v**2\n' | b'Let i(k) be the second derivative of -171*k**5/4 + 595*k**2/2 - 1542*k. Find the first derivative of i(v) wrt v.\n' | b'-2565*v**2\n' | deepmind/math_dataset |
b'Let u(t) be the third derivative of t**6/10 + 3*t**4/2 - 17*t**3/6 + 1127*t**2 - t. What is the first derivative of u(j) wrt j?\n' | b'36*j**2 + 36\n' | b'Let u(t) be the third derivative of t**6/10 + 3*t**4/2 - 17*t**3/6 + 1127*t**2 - t. What is the first derivative of u(j) wrt j?\n' | b'36*j**2 + 36\n' | deepmind/math_dataset |
b'Let c = -15 + -15. Let p = 32 + c. Suppose 2*d = -4*f - 0*f - p, f = -d + 2. Solve -d*t - 6 = 4*w, -2*t - 3 + 11 = -w for w.\n' | b'-4\n' | b'Let c = -15 + -15. Let p = 32 + c. Suppose 2*d = -4*f - 0*f - p, f = -d + 2. Solve -d*t - 6 = 4*w, -2*t - 3 + 11 = -w for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence nhhn when four letters picked without replacement from {n: 4, h: 10}.\n' | b'45/1001\n' | b'Calculate prob of sequence nhhn when four letters picked without replacement from {n: 4, h: 10}.\n' | b'45/1001\n' | deepmind/math_dataset |
b'Two letters picked without replacement from lrnlllllllrllllrl. Give prob of picking 2 l.\n' | b'39/68\n' | b'Two letters picked without replacement from lrnlllllllrllllrl. Give prob of picking 2 l.\n' | b'39/68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from egsegshese. Give prob of sequence hese.\n' | b'1/140\n' | b'Four letters picked without replacement from egsegshese. Give prob of sequence hese.\n' | b'1/140\n' | deepmind/math_dataset |
b'Differentiate 0 - 4 - 3 - 3*v**2 - 2*v**2 with respect to v.\n' | b'-10*v\n' | b'Differentiate 0 - 4 - 3 - 3*v**2 - 2*v**2 with respect to v.\n' | b'-10*v\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nkpnbaba. What is prob of sequence bkn?\n' | b'1/84\n' | b'Three letters picked without replacement from nkpnbaba. What is prob of sequence bkn?\n' | b'1/84\n' | deepmind/math_dataset |
b'Suppose -12*c + 18*c = 0. Let l(u) be the second derivative of 0*u**4 - 1/15*u**6 + 0 + 3*u**2 + 0*u**5 + c*u**3 - 6*u. What is the derivative of l(y) wrt y?\n' | b'-8*y**3\n' | b'Suppose -12*c + 18*c = 0. Let l(u) be the second derivative of 0*u**4 - 1/15*u**6 + 0 + 3*u**2 + 0*u**5 + c*u**3 - 6*u. What is the derivative of l(y) wrt y?\n' | b'-8*y**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 s, and 1 c when three letters picked without replacement from fsiicfsfssf.\n' | b'16/165\n' | b'Calculate prob of picking 1 f, 1 s, and 1 c when three letters picked without replacement from fsiicfsfssf.\n' | b'16/165\n' | deepmind/math_dataset |
b'Let a(i) = i**3 - i**2 + i + 2. Let v(c) = -2*c**3 + c**2 - 2*c - 5. Let o(n) = -13*a(n) - 6*v(n). Let r(z) = 19*z - 240. Let y be r(13). What is o(y)?\n' | b'-3\n' | b'Let a(i) = i**3 - i**2 + i + 2. Let v(c) = -2*c**3 + c**2 - 2*c - 5. Let o(n) = -13*a(n) - 6*v(n). Let r(z) = 19*z - 240. Let y be r(13). What is o(y)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let m(w) be the second derivative of 8*w**4/3 + 11*w**3/3 - 15*w. What is the second derivative of m(o) wrt o?\n' | b'64\n' | b'Let m(w) be the second derivative of 8*w**4/3 + 11*w**3/3 - 15*w. What is the second derivative of m(o) wrt o?\n' | b'64\n' | deepmind/math_dataset |
b'Suppose b = 3*z - 245, 2*b = 25*z - 21*z - 330. What is the second derivative of -z*m**3 - 1 + 291*m + 5*m**3 - 152*m - 147*m wrt m?\n' | b'-450*m\n' | b'Suppose b = 3*z - 245, 2*b = 25*z - 21*z - 330. What is the second derivative of -z*m**3 - 1 + 291*m + 5*m**3 - 152*m - 147*m wrt m?\n' | b'-450*m\n' | deepmind/math_dataset |
b'Let z(r) be the first derivative of -12*r**7/7 + 8*r**4 + 404*r**3/3 + r - 860. Find the third derivative of z(h) wrt h.\n' | b'-1440*h**3 + 192\n' | b'Let z(r) be the first derivative of -12*r**7/7 + 8*r**4 + 404*r**3/3 + r - 860. Find the third derivative of z(h) wrt h.\n' | b'-1440*h**3 + 192\n' | deepmind/math_dataset |
b'Suppose -o = 3 - 15. Let g(f) = -79*f - 22. Let d be g(-3). Let m = d + -206. Solve -o = 4*y - v - 0, 3*y = -4*v - m for y.\n' | b'-3\n' | b'Suppose -o = 3 - 15. Let g(f) = -79*f - 22. Let d be g(-3). Let m = d + -206. Solve -o = 4*y - v - 0, 3*y = -4*v - m for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 2, a: 1, m: 9, q: 3, y: 3, o: 1}. Give prob of sequence ano.\n' | b'1/2907\n' | b'Three letters picked without replacement from {n: 2, a: 1, m: 9, q: 3, y: 3, o: 1}. Give prob of sequence ano.\n' | b'1/2907\n' | deepmind/math_dataset |
b'What is prob of picking 1 e, 1 u, 1 c, and 1 s when four letters picked without replacement from upuyysysepcsyuee?\n' | b'27/1820\n' | b'What is prob of picking 1 e, 1 u, 1 c, and 1 s when four letters picked without replacement from upuyysysepcsyuee?\n' | b'27/1820\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 e when two letters picked without replacement from {u: 1, o: 2, a: 1, n: 2, q: 1, e: 1}?\n' | b'1/28\n' | b'What is prob of picking 1 q and 1 e when two letters picked without replacement from {u: 1, o: 2, a: 1, n: 2, q: 1, e: 1}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, r: 13}.\n' | b'5/408\n' | b'Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, r: 13}.\n' | b'5/408\n' | deepmind/math_dataset |
b'Calculate prob of sequence jj when two letters picked without replacement from ljlzzlzuzjzuzzzzjujz.\n' | b'3/95\n' | b'Calculate prob of sequence jj when two letters picked without replacement from ljlzzlzuzjzuzzzzjujz.\n' | b'3/95\n' | deepmind/math_dataset |
b'Suppose -3*o + 6*o + u = -8, -24 = 3*o - 3*u. Let x = 13 + o. Suppose x = 5*d - 11. Solve -5*s = d*l + 19, 7 = l + 2*s + 14 for l.\n' | b'-1\n' | b'Suppose -3*o + 6*o + u = -8, -24 = 3*o - 3*u. Let x = 13 + o. Suppose x = 5*d - 11. Solve -5*s = d*l + 19, 7 = l + 2*s + 14 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify v*v*v/(v*(v*v*v*(v**8*v)/v)/v)*v*v/(v/(v**(2/23)/v*v*v))*(v*v**(10/7))/(v*v**(-5/2)*v*v) assuming v is positive.\n' | b'v**(-1283/322)\n' | b'Simplify v*v*v/(v*(v*v*v*(v**8*v)/v)/v)*v*v/(v/(v**(2/23)/v*v*v))*(v*v**(10/7))/(v*v**(-5/2)*v*v) assuming v is positive.\n' | b'v**(-1283/322)\n' | deepmind/math_dataset |
b'Suppose 4*j - 12 = 2*h, -26 = h - 6*h - 4*j. Solve h*f - 2*k = -12, 3*f = -0*k + k - 8 for f.\n' | b'-1\n' | b'Suppose 4*j - 12 = 2*h, -26 = h - 6*h - 4*j. Solve h*f - 2*k = -12, 3*f = -0*k + k - 8 for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence vc when two letters picked without replacement from {v: 4, a: 3, c: 1, d: 1, u: 4, n: 1}.\n' | b'2/91\n' | b'Calculate prob of sequence vc when two letters picked without replacement from {v: 4, a: 3, c: 1, d: 1, u: 4, n: 1}.\n' | b'2/91\n' | deepmind/math_dataset |
b'Let p(c) = -90 - 3*c**2 + 3*c + 92 - 31*c**2. Determine p(-1).\n' | b'-35\n' | b'Let p(c) = -90 - 3*c**2 + 3*c + 92 - 31*c**2. Determine p(-1).\n' | b'-35\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 d when two letters picked without replacement from llqdldmddddlmlkddeem.\n' | b'12/95\n' | b'Calculate prob of picking 1 m and 1 d when two letters picked without replacement from llqdldmddddlmlkddeem.\n' | b'12/95\n' | deepmind/math_dataset |
b'Let u = 8 + -6. Suppose -t = 5*z + 16, z + t = -2 - u. Let g(q) = q**2 + 4*q + 3. Determine g(z).\n' | b'0\n' | b'Let u = 8 + -6. Suppose -t = 5*z + 16, z + t = -2 - u. Let g(q) = q**2 + 4*q + 3. Determine g(z).\n' | b'0\n' | deepmind/math_dataset |
b'Let y(m) = 1. Let v(o) = 7. Let u(k) = v(k) - 6*y(k). Let c(f) = -f - 6. Let h(p) = c(p) + 5*u(p). What is h(3)?\n' | b'-4\n' | b'Let y(m) = 1. Let v(o) = 7. Let u(k) = v(k) - 6*y(k). Let c(f) = -f - 6. Let h(p) = c(p) + 5*u(p). What is h(3)?\n' | b'-4\n' | deepmind/math_dataset |
b'Let x = -26 - -31. What is the second derivative of -5*h**x + 10*h - 487*h**3 + 487*h**3 wrt h?\n' | b'-100*h**3\n' | b'Let x = -26 - -31. What is the second derivative of -5*h**x + 10*h - 487*h**3 + 487*h**3 wrt h?\n' | b'-100*h**3\n' | deepmind/math_dataset |
b'Suppose 0 = -0*n - 4*n. Suppose -i + 2 = -n. What is the third derivative of 4*o**i + o**2 + o**2 - 2*o**4 + 8*o**4 wrt o?\n' | b'144*o\n' | b'Suppose 0 = -0*n - 4*n. Suppose -i + 2 = -n. What is the third derivative of 4*o**i + o**2 + o**2 - 2*o**4 + 8*o**4 wrt o?\n' | b'144*o\n' | deepmind/math_dataset |
b'Let q(b) be the first derivative of 14*b**5/5 - b**4/2 - 19*b**3/3 - 3*b + 58. What is the third derivative of q(c) wrt c?\n' | b'336*c - 12\n' | b'Let q(b) be the first derivative of 14*b**5/5 - b**4/2 - 19*b**3/3 - 3*b + 58. What is the third derivative of q(c) wrt c?\n' | b'336*c - 12\n' | deepmind/math_dataset |
b'Let d = -4 + 6. Let j = d - 0. Solve 6 = s + j*s, -5*l - 4*s = 12 for l.\n' | b'-4\n' | b'Let d = -4 + 6. Let j = d - 0. Solve 6 = s + j*s, -5*l - 4*s = 12 for l.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence xx when two letters picked without replacement from {y: 3, e: 5, x: 7, f: 1}.\n' | b'7/40\n' | b'Calculate prob of sequence xx when two letters picked without replacement from {y: 3, e: 5, x: 7, f: 1}.\n' | b'7/40\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 2 g when three letters picked without replacement from {g: 2, p: 7, w: 1}?\n' | b'7/120\n' | b'What is prob of picking 1 p and 2 g when three letters picked without replacement from {g: 2, p: 7, w: 1}?\n' | b'7/120\n' | deepmind/math_dataset |
b'Simplify ((y/y**(-4/3))/y)/y*y**(2/29)/y assuming y is positive.\n' | b'y**(-52/87)\n' | b'Simplify ((y/y**(-4/3))/y)/y*y**(2/29)/y assuming y is positive.\n' | b'y**(-52/87)\n' | deepmind/math_dataset |
b'Simplify (x**4/x**(2/3))/(x**0)**(9/7)*(x/(x**(-1)/x))**(-44)*x/(x/(x*x**(1/5)/x*x*x))*x*x/(x**(-2/3)/x*x) assuming x is positive.\n' | b'x**(-619/5)\n' | b'Simplify (x**4/x**(2/3))/(x**0)**(9/7)*(x/(x**(-1)/x))**(-44)*x/(x/(x*x**(1/5)/x*x*x))*x*x/(x**(-2/3)/x*x) assuming x is positive.\n' | b'x**(-619/5)\n' | deepmind/math_dataset |
b'Differentiate -205 + 363038*r**2 + 213*r**4 + 0*r + 0*r - 363037*r**2 wrt r.\n' | b'852*r**3 + 2*r\n' | b'Differentiate -205 + 363038*r**2 + 213*r**4 + 0*r + 0*r - 363037*r**2 wrt r.\n' | b'852*r**3 + 2*r\n' | deepmind/math_dataset |
b'What is prob of picking 2 c, 1 u, and 1 y when four letters picked without replacement from {r: 1, a: 2, c: 4, y: 6, u: 2, n: 3}?\n' | b'2/85\n' | b'What is prob of picking 2 c, 1 u, and 1 y when four letters picked without replacement from {r: 1, a: 2, c: 4, y: 6, u: 2, n: 3}?\n' | b'2/85\n' | deepmind/math_dataset |
b'Calculate prob of sequence mv when two letters picked without replacement from {b: 3, g: 4, v: 2, m: 1, z: 2}.\n' | b'1/66\n' | b'Calculate prob of sequence mv when two letters picked without replacement from {b: 3, g: 4, v: 2, m: 1, z: 2}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let h(n) = -n**2 - 8*n - 7. Suppose a + 4*v + 18 + 9 = 0, -24 = 2*a + 2*v. Let g be h(a). Solve g*t - 3*t + 6 = 2*q, 4*t = -3*q + 8 for q.\n' | b'0\n' | b'Let h(n) = -n**2 - 8*n - 7. Suppose a + 4*v + 18 + 9 = 0, -24 = 2*a + 2*v. Let g be h(a). Solve g*t - 3*t + 6 = 2*q, 4*t = -3*q + 8 for q.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((f*f**13*(f/(f*f/(f/(f/f**(-1/5)))))/f)/(((f*f*f/f**(4/3)*f)/f)/(f/(f/(f*f**(2/3)*f)))))**19 assuming f is positive.\n' | b'f**(1216/5)\n' | b'Simplify ((f*f**13*(f/(f*f/(f/(f/f**(-1/5)))))/f)/(((f*f*f/f**(4/3)*f)/f)/(f/(f/(f*f**(2/3)*f)))))**19 assuming f is positive.\n' | b'f**(1216/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 16, s: 4}. Give prob of picking 1 x and 2 s.\n' | b'8/95\n' | b'Three letters picked without replacement from {x: 16, s: 4}. Give prob of picking 1 x and 2 s.\n' | b'8/95\n' | deepmind/math_dataset |
b'What is prob of sequence pg when two letters picked without replacement from ppgp?\n' | b'1/4\n' | b'What is prob of sequence pg when two letters picked without replacement from ppgp?\n' | b'1/4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pitiippt. What is prob of picking 1 i and 2 t?\n' | b'3/56\n' | b'Three letters picked without replacement from pitiippt. What is prob of picking 1 i and 2 t?\n' | b'3/56\n' | deepmind/math_dataset |
b'Let f = -180 - -182. Let b(z) = 2*z**2 + 2*z. What is b(f)?\n' | b'12\n' | b'Let f = -180 - -182. Let b(z) = 2*z**2 + 2*z. What is b(f)?\n' | b'12\n' | deepmind/math_dataset |
b'Simplify (((w/w**(2/5))/(((w**(-9)/w)/w)/w))**(-26/7))**(11/8) assuming w is positive.\n' | b'w**(-1287/20)\n' | b'Simplify (((w/w**(2/5))/(((w**(-9)/w)/w)/w))**(-26/7))**(11/8) assuming w is positive.\n' | b'w**(-1287/20)\n' | deepmind/math_dataset |
b'Simplify (((j/(j*j*j**4*j*j))/j)/(j**(4/9)*j)*j**3*j*j/((j**(1/4)*j)/j)*j)/((j**(4/3)*j*j/(j/(j*j**5/j)))/((j/j**6)/(((j*j**3)/j)/j))) assuming j is positive.\n' | b'j**(-649/36)\n' | b'Simplify (((j/(j*j*j**4*j*j))/j)/(j**(4/9)*j)*j**3*j*j/((j**(1/4)*j)/j)*j)/((j**(4/3)*j*j/(j/(j*j**5/j)))/((j/j**6)/(((j*j**3)/j)/j))) assuming j is positive.\n' | b'j**(-649/36)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ybjjmir. What is prob of picking 1 y and 1 j?\n' | b'2/21\n' | b'Two letters picked without replacement from ybjjmir. What is prob of picking 1 y and 1 j?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let x(r) be the third derivative of r**6/720 - r**5/60 - r**4/24 - 2*r**2. Let b(q) be the second derivative of x(q). Differentiate b(m) with respect to m.\n' | b'1\n' | b'Let x(r) be the third derivative of r**6/720 - r**5/60 - r**4/24 - 2*r**2. Let b(q) be the second derivative of x(q). Differentiate b(m) with respect to m.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 3, p: 3, u: 5, n: 1}. What is prob of sequence pppu?\n' | b'1/396\n' | b'Four letters picked without replacement from {t: 3, p: 3, u: 5, n: 1}. What is prob of sequence pppu?\n' | b'1/396\n' | deepmind/math_dataset |
b'Let x(k) be the second derivative of 6*k + 7/2*k**2 - 1/12*k**4 - 1/6*k**3 + 0. What is x(0)?\n' | b'7\n' | b'Let x(k) be the second derivative of 6*k + 7/2*k**2 - 1/12*k**4 - 1/6*k**3 + 0. What is x(0)?\n' | b'7\n' | deepmind/math_dataset |
b'Let f(h) = 45*h - 170. Let y be f(7). What is the first derivative of -64*k - 383*k**3 + 762*k**3 - y - 378*k**3 wrt k?\n' | b'3*k**2 - 64\n' | b'Let f(h) = 45*h - 170. Let y be f(7). What is the first derivative of -64*k - 383*k**3 + 762*k**3 - y - 378*k**3 wrt k?\n' | b'3*k**2 - 64\n' | deepmind/math_dataset |
b'Suppose 0 = -n - n + 10. Find the second derivative of r**5 - 2*r**n - r**5 + r wrt r.\n' | b'-40*r**3\n' | b'Suppose 0 = -n - n + 10. Find the second derivative of r**5 - 2*r**n - r**5 + r wrt r.\n' | b'-40*r**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 2 w when three letters picked without replacement from wwnwwn.\n' | b'3/5\n' | b'Calculate prob of picking 1 n and 2 w when three letters picked without replacement from wwnwwn.\n' | b'3/5\n' | deepmind/math_dataset |
b'Calculate prob of sequence fo when two letters picked without replacement from fogoglfgg.\n' | b'1/18\n' | b'Calculate prob of sequence fo when two letters picked without replacement from fogoglfgg.\n' | b'1/18\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wuwabur. Give prob of sequence ua.\n' | b'1/21\n' | b'Two letters picked without replacement from wuwabur. Give prob of sequence ua.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify ((v/v**(-4/11))/v**(-18)*v**(-2/9)*v/(v*v**(-5)*v))**(2/65) assuming v is positive.\n' | b'v**(4582/6435)\n' | b'Simplify ((v/v**(-4/11))/v**(-18)*v**(-2/9)*v/(v*v**(-5)*v))**(2/65) assuming v is positive.\n' | b'v**(4582/6435)\n' | deepmind/math_dataset |
b'Let x(a) = a**3 - a - 1. Let t(q) = -12*q**4 + q**3 - 43*q**2 - 4*q - 4. Let v(z) = t(z) - 4*x(z). What is the third derivative of v(c) wrt c?\n' | b'-288*c - 18\n' | b'Let x(a) = a**3 - a - 1. Let t(q) = -12*q**4 + q**3 - 43*q**2 - 4*q - 4. Let v(z) = t(z) - 4*x(z). What is the third derivative of v(c) wrt c?\n' | b'-288*c - 18\n' | deepmind/math_dataset |
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