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'What is the second derivative of -1221*t + t**2 + 14344348*t**4 - 14343965*t**4 - 1096*t wrt t?\n' | b'4596*t**2 + 2\n' | b'What is the second derivative of -1221*t + t**2 + 14344348*t**4 - 14343965*t**4 - 1096*t wrt t?\n' | b'4596*t**2 + 2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 6, k: 4, d: 1}. What is prob of sequence nn?\n' | b'3/11\n' | b'Two letters picked without replacement from {n: 6, k: 4, d: 1}. What is prob of sequence nn?\n' | b'3/11\n' | deepmind/math_dataset |
b'Simplify r*r**(-3)*r/(r/(r*r**14/r))*((r*r**(-3)*r)/r)**(-6/19) assuming r is positive.\n' | b'r**(240/19)\n' | b'Simplify r*r**(-3)*r/(r/(r*r**14/r))*((r*r**(-3)*r)/r)**(-6/19) assuming r is positive.\n' | b'r**(240/19)\n' | deepmind/math_dataset |
b'Suppose 0 = 5*q + 5*q - 20. Differentiate 7 - 19 - 17*t**q + 3 wrt t.\n' | b'-34*t\n' | b'Suppose 0 = 5*q + 5*q - 20. Differentiate 7 - 19 - 17*t**q + 3 wrt t.\n' | b'-34*t\n' | deepmind/math_dataset |
b'Let h = -3 - 2. Let s(q) = 2*q**3 + 10*q**2 - 5*q - 9. Let m(n) = n**3 + 5*n**2 - 3*n - 4. Let a(l) = 5*m(l) - 3*s(l). Determine a(h).\n' | b'7\n' | b'Let h = -3 - 2. Let s(q) = 2*q**3 + 10*q**2 - 5*q - 9. Let m(n) = n**3 + 5*n**2 - 3*n - 4. Let a(l) = 5*m(l) - 3*s(l). Determine a(h).\n' | b'7\n' | deepmind/math_dataset |
b'Suppose 3*y - 6*y - 6 = 4*a, 10 = -a - 5*y. Suppose a*m = -6*m + 12. Solve -4*q = -2*f - 2, f - 4*f = -q - m for f.\n' | b'1\n' | b'Suppose 3*y - 6*y - 6 = 4*a, 10 = -a - 5*y. Suppose a*m = -6*m + 12. Solve -4*q = -2*f - 2, f - 4*f = -q - m for f.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence saas when four letters picked without replacement from saaaaasasa.\n' | b'1/20\n' | b'Calculate prob of sequence saas when four letters picked without replacement from saaaaasasa.\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of sequence ti when two letters picked without replacement from {t: 6, i: 7}.\n' | b'7/26\n' | b'Calculate prob of sequence ti when two letters picked without replacement from {t: 6, i: 7}.\n' | b'7/26\n' | deepmind/math_dataset |
b'Let l(z) = -8*z + 6. Let g be l(0). Solve -4*b - 3*q = -13, -2*b - 2*q + g = -0*q for b.\n' | b'4\n' | b'Let l(z) = -8*z + 6. Let g be l(0). Solve -4*b - 3*q = -13, -2*b - 2*q + g = -0*q for b.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((y*y**(-1/7)*y)/(y/y**2))**(-4)*(y**(2/3)/y**8)**(-40/7) assuming y is positive.\n' | b'y**(640/21)\n' | b'Simplify ((y*y**(-1/7)*y)/(y/y**2))**(-4)*(y**(2/3)/y**8)**(-40/7) assuming y is positive.\n' | b'y**(640/21)\n' | deepmind/math_dataset |
b'Simplify (z**(4/11)/z)**(-8/15)/((z/(z/((z**(-2/7)*z)/z)))/(z/z**(3/10)*z)) assuming z is positive.\n' | b'z**(5371/2310)\n' | b'Simplify (z**(4/11)/z)**(-8/15)/((z/(z/((z**(-2/7)*z)/z)))/(z/z**(3/10)*z)) assuming z is positive.\n' | b'z**(5371/2310)\n' | deepmind/math_dataset |
b'Let z(t) = 4 - 5*t + 9 - 28 + 14. Give z(1).\n' | b'-6\n' | b'Let z(t) = 4 - 5*t + 9 - 28 + 14. Give z(1).\n' | b'-6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppjq. What is prob of sequence qp?\n' | b'1/6\n' | b'Two letters picked without replacement from ppjq. What is prob of sequence qp?\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {t: 1, m: 1, f: 2}.\n' | b'1/3\n' | b'Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {t: 1, m: 1, f: 2}.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let l be (-1 - 9)/(3 - 4). Let j = l - 7. What is the second derivative of t + 2*t**4 - j*t**3 + 3*t**3 wrt t?\n' | b'24*t**2\n' | b'Let l be (-1 - 9)/(3 - 4). Let j = l - 7. What is the second derivative of t + 2*t**4 - j*t**3 + 3*t**3 wrt t?\n' | b'24*t**2\n' | deepmind/math_dataset |
b'Let s(o) be the first derivative of -17 - 1/2*o**2 - 3*o. Calculate s(-3).\n' | b'0\n' | b'Let s(o) be the first derivative of -17 - 1/2*o**2 - 3*o. Calculate s(-3).\n' | b'0\n' | deepmind/math_dataset |
b'Let z(h) = -h**2 - 5*h + 5. Let y(j) = -j**2 + 8*j + 11. Let d be y(9). Let u be z(d). Let v = u + 11. Solve -2*w = v*k + 4, -5*w - 4*k - 9 - 1 = 0 for w.\n' | b'-2\n' | b'Let z(h) = -h**2 - 5*h + 5. Let y(j) = -j**2 + 8*j + 11. Let d be y(9). Let u be z(d). Let v = u + 11. Solve -2*w = v*k + 4, -5*w - 4*k - 9 - 1 = 0 for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cnfjn. Give prob of picking 1 n and 1 f.\n' | b'1/5\n' | b'Two letters picked without replacement from cnfjn. Give prob of picking 1 n and 1 f.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify ((z/(z/z**(-2/13)))/z**(-4/3))/(z**(-4/7)*z*z**18) assuming z is positive.\n' | b'z**(-4709/273)\n' | b'Simplify ((z/(z/z**(-2/13)))/z**(-4/3))/(z**(-4/7)*z*z**18) assuming z is positive.\n' | b'z**(-4709/273)\n' | deepmind/math_dataset |
b'Calculate prob of sequence rqfd when four letters picked without replacement from {r: 4, q: 3, d: 1, f: 2}.\n' | b'1/210\n' | b'Calculate prob of sequence rqfd when four letters picked without replacement from {r: 4, q: 3, d: 1, f: 2}.\n' | b'1/210\n' | deepmind/math_dataset |
b'What is prob of sequence aai when three letters picked without replacement from iauai?\n' | b'1/15\n' | b'What is prob of sequence aai when three letters picked without replacement from iauai?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let x(o) be the first derivative of 5234*o**3/3 + 11*o**2 - 33*o + 3538. Find the second derivative of x(r) wrt r.\n' | b'10468\n' | b'Let x(o) be the first derivative of 5234*o**3/3 + 11*o**2 - 33*o + 3538. Find the second derivative of x(r) wrt r.\n' | b'10468\n' | deepmind/math_dataset |
b'Simplify (l**(-5)*l)**(-20) assuming l is positive.\n' | b'l**80\n' | b'Simplify (l**(-5)*l)**(-20) assuming l is positive.\n' | b'l**80\n' | deepmind/math_dataset |
b'Simplify (r**7*r)/((r*(r/(r**(-1/35)/r*r))/r*r*r)/r) assuming r is positive.\n' | b'r**(209/35)\n' | b'Simplify (r**7*r)/((r*(r/(r**(-1/35)/r*r))/r*r*r)/r) assuming r is positive.\n' | b'r**(209/35)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 6, v: 8, a: 1}. What is prob of sequence av?\n' | b'4/105\n' | b'Two letters picked without replacement from {e: 6, v: 8, a: 1}. What is prob of sequence av?\n' | b'4/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 7, k: 1, t: 1, n: 1, r: 5}. Give prob of picking 3 r.\n' | b'2/91\n' | b'Three letters picked without replacement from {w: 7, k: 1, t: 1, n: 1, r: 5}. Give prob of picking 3 r.\n' | b'2/91\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ssvsvsssvssvv. Give prob of picking 1 v and 2 s.\n' | b'70/143\n' | b'Three letters picked without replacement from ssvsvsssvssvv. Give prob of picking 1 v and 2 s.\n' | b'70/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 x and 1 e when two letters picked without replacement from lnxge.\n' | b'1/10\n' | b'Calculate prob of picking 1 x and 1 e when two letters picked without replacement from lnxge.\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 3, y: 3}. Give prob of sequence yy.\n' | b'1/5\n' | b'Two letters picked without replacement from {t: 3, y: 3}. Give prob of sequence yy.\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (j**(5/4)*j*j**(3/8))**(-14)/((j*j**5*j**(2/11))/(j**(1/3)*j*j)**(-5)) assuming j is positive.\n' | b'j**(-7207/132)\n' | b'Simplify (j**(5/4)*j*j**(3/8))**(-14)/((j*j**5*j**(2/11))/(j**(1/3)*j*j)**(-5)) assuming j is positive.\n' | b'j**(-7207/132)\n' | deepmind/math_dataset |
b'Let a = -78 + 123. Let c = 48 - a. Solve -12 = -3*u, -u + c = 5*i + 19 for i.\n' | b'-4\n' | b'Let a = -78 + 123. Let c = 48 - a. Solve -12 = -3*u, -u + c = 5*i + 19 for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Find the third derivative of 501*s**4 - 2326*s**2 + s**3 - s**3 - 2713860*s**5 + 2713862*s**5 wrt s.\n' | b'120*s**2 + 12024*s\n' | b'Find the third derivative of 501*s**4 - 2326*s**2 + s**3 - s**3 - 2713860*s**5 + 2713862*s**5 wrt s.\n' | b'120*s**2 + 12024*s\n' | deepmind/math_dataset |
b'What is the second derivative of 116*z**4 + 48*z**4 - 2*z**2 - 160*z - 66*z**4 wrt z?\n' | b'1176*z**2 - 4\n' | b'What is the second derivative of 116*z**4 + 48*z**4 - 2*z**2 - 160*z - 66*z**4 wrt z?\n' | b'1176*z**2 - 4\n' | deepmind/math_dataset |
b'Suppose -2*l = i, 3 = -3*l - 3. Solve i*x = -2*p - 14, -2 = 3*x - 2*x for p.\n' | b'-3\n' | b'Suppose -2*l = i, 3 = -3*l - 3. Solve i*x = -2*p - 14, -2 = 3*x - 2*x for p.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -3*j + 3 = -3. Suppose 6 = c - j. Let a be (-22)/(-1 - (-4 + 4)). Solve -2*n = c, -5*y + 3*n + a = -0*n for y.\n' | b'2\n' | b'Suppose -3*j + 3 = -3. Suppose 6 = c - j. Let a be (-22)/(-1 - (-4 + 4)). Solve -2*n = c, -5*y + 3*n + a = -0*n for y.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (h**0/h*h)**29/(h**(-1))**(-2/61) assuming h is positive.\n' | b'h**(-2/61)\n' | b'Simplify (h**0/h*h)**29/(h**(-1))**(-2/61) assuming h is positive.\n' | b'h**(-2/61)\n' | deepmind/math_dataset |
b'Let v(q) be the second derivative of -1/20*q**5 + 19*q + 2/3*q**4 + 0 + 3*q**2 - 1/6*q**3. Give v(8).\n' | b'-2\n' | b'Let v(q) be the second derivative of -1/20*q**5 + 19*q + 2/3*q**4 + 0 + 3*q**2 - 1/6*q**3. Give v(8).\n' | b'-2\n' | deepmind/math_dataset |
b'Let d = 181 - 181. Solve d = -2*a - o + 5, 16 = -a + 6*a - o for a.\n' | b'3\n' | b'Let d = 181 - 181. Solve d = -2*a - o + 5, 16 = -a + 6*a - o for a.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (t**(-23)*t*t**(-3/28)/t)/(t**(3/7)*t/(t*t**(-1/6))) assuming t is positive.\n' | b't**(-1991/84)\n' | b'Simplify (t**(-23)*t*t**(-3/28)/t)/(t**(3/7)*t/(t*t**(-1/6))) assuming t is positive.\n' | b't**(-1991/84)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 8, v: 4, m: 1}. Give prob of sequence vv.\n' | b'1/13\n' | b'Two letters picked without replacement from {f: 8, v: 4, m: 1}. Give prob of sequence vv.\n' | b'1/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 4, g: 6}. Give prob of sequence gg.\n' | b'1/3\n' | b'Two letters picked without replacement from {l: 4, g: 6}. Give prob of sequence gg.\n' | b'1/3\n' | deepmind/math_dataset |
b'Let j(n) = 0*n**3 - 5*n + 4*n**2 - 2 + n**3 + 3*n**3 - 3*n**3. Let q be j(-4). Solve -4*y - 9 = d, -4*d + 2*y = -0*y + q for d.\n' | b'-5\n' | b'Let j(n) = 0*n**3 - 5*n + 4*n**2 - 2 + n**3 + 3*n**3 - 3*n**3. Let q be j(-4). Solve -4*y - 9 = d, -4*d + 2*y = -0*y + q for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let b(k) be the first derivative of 0*k**2 - 1/4*k**4 + 4/3*k**3 + k + 8. Give b(3).\n' | b'10\n' | b'Let b(k) be the first derivative of 0*k**2 - 1/4*k**4 + 4/3*k**3 + k + 8. Give b(3).\n' | b'10\n' | deepmind/math_dataset |
b'Let d(v) = 452*v**2 - 47. Let o(y) = -151*y**2 + 16. Let z(b) = 6*d(b) + 17*o(b). What is the first derivative of z(q) wrt q?\n' | b'290*q\n' | b'Let d(v) = 452*v**2 - 47. Let o(y) = -151*y**2 + 16. Let z(b) = 6*d(b) + 17*o(b). What is the first derivative of z(q) wrt q?\n' | b'290*q\n' | deepmind/math_dataset |
b'Simplify ((o*o/(o/(o**(-2/5)*o*o)))**45/(o**2)**(-2/53))**(-15) assuming o is positive.\n' | b'o**(-93075/53)\n' | b'Simplify ((o*o/(o/(o**(-2/5)*o*o)))**45/(o**2)**(-2/53))**(-15) assuming o is positive.\n' | b'o**(-93075/53)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sppsssss. What is prob of sequence sp?\n' | b'3/14\n' | b'Two letters picked without replacement from sppsssss. What is prob of sequence sp?\n' | b'3/14\n' | deepmind/math_dataset |
b'Let r(y) = -15*y**3 + 3*y - 21*y**3 - y**2 - 2 + 38*y**3. Let s(d) = 2*d**2. Let n be s(1). Give r(n).\n' | b'16\n' | b'Let r(y) = -15*y**3 + 3*y - 21*y**3 - y**2 - 2 + 38*y**3. Let s(d) = 2*d**2. Let n be s(1). Give r(n).\n' | b'16\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, s: 6, q: 3, d: 1}. Give prob of picking 1 d and 3 q.\n' | b'1/495\n' | b'Four letters picked without replacement from {w: 2, s: 6, q: 3, d: 1}. Give prob of picking 1 d and 3 q.\n' | b'1/495\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kkqrtwkrqk. Give prob of sequence qrw.\n' | b'1/180\n' | b'Three letters picked without replacement from kkqrtwkrqk. Give prob of sequence qrw.\n' | b'1/180\n' | deepmind/math_dataset |
b'Let u(k) = 11*k**3 + 20*k**2 - k + 5. Let o(m) = 6*m**3 + 10*m**2 - m + 2. Let l(a) = -5*o(a) + 3*u(a). Find the second derivative of l(q) wrt q.\n' | b'18*q + 20\n' | b'Let u(k) = 11*k**3 + 20*k**2 - k + 5. Let o(m) = 6*m**3 + 10*m**2 - m + 2. Let l(a) = -5*o(a) + 3*u(a). Find the second derivative of l(q) wrt q.\n' | b'18*q + 20\n' | deepmind/math_dataset |
b'Simplify (p**(1/6)*p**(-4/7)/p*p)/((p*p**(-2/13))/((p**(-2)/p)/p))*(p/(p*p/(p*p/(p/((p**(2/3)*p)/p)))))**(-1/4)*(p/p**(-2/7))**2 assuming p is positive.\n' | b'p**(-37/13)\n' | b'Simplify (p**(1/6)*p**(-4/7)/p*p)/((p*p**(-2/13))/((p**(-2)/p)/p))*(p/(p*p/(p*p/(p/((p**(2/3)*p)/p)))))**(-1/4)*(p/p**(-2/7))**2 assuming p is positive.\n' | b'p**(-37/13)\n' | deepmind/math_dataset |
b'Let j(i) = -3 - 2 + 5 + 5*i. Let m(y) = -4*y + 1. Let q(v) = 5*j(v) + 6*m(v). Let r be q(-4). Solve 6*o - r*o - 17 = -5*g, -5*o = -3*g + 25 for o.\n' | b'-2\n' | b'Let j(i) = -3 - 2 + 5 + 5*i. Let m(y) = -4*y + 1. Let q(v) = 5*j(v) + 6*m(v). Let r be q(-4). Solve 6*o - r*o - 17 = -5*g, -5*o = -3*g + 25 for o.\n' | b'-2\n' | deepmind/math_dataset |
b'Let q be (-1)/(4 + (-38)/(-512)*-54). Let c(w) = -q + 2*w - 128 + 258. Calculate c(4).\n' | b'10\n' | b'Let q be (-1)/(4 + (-38)/(-512)*-54). Let c(w) = -q + 2*w - 128 + 258. Calculate c(4).\n' | b'10\n' | deepmind/math_dataset |
b'Let d(x) be the second derivative of -x**8/6720 + x**7/360 - x**4/4 + 4*x. Let g(j) be the third derivative of d(j). Find the third derivative of g(c) wrt c.\n' | b'-6\n' | b'Let d(x) be the second derivative of -x**8/6720 + x**7/360 - x**4/4 + 4*x. Let g(j) be the third derivative of d(j). Find the third derivative of g(c) wrt c.\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence aa when two letters picked without replacement from {n: 2, a: 5}.\n' | b'10/21\n' | b'Calculate prob of sequence aa when two letters picked without replacement from {n: 2, a: 5}.\n' | b'10/21\n' | deepmind/math_dataset |
b'Simplify (h**(-2))**(-42) assuming h is positive.\n' | b'h**84\n' | b'Simplify (h**(-2))**(-42) assuming h is positive.\n' | b'h**84\n' | deepmind/math_dataset |
b'Simplify (b**(-3)/b)/b*b**(-1/19) assuming b is positive.\n' | b'b**(-96/19)\n' | b'Simplify (b**(-3)/b)/b*b**(-1/19) assuming b is positive.\n' | b'b**(-96/19)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, x: 1, z: 3, n: 7, g: 1}. Give prob of sequence zx.\n' | b'3/182\n' | b'Two letters picked without replacement from {e: 2, x: 1, z: 3, n: 7, g: 1}. Give prob of sequence zx.\n' | b'3/182\n' | deepmind/math_dataset |
b'Let d be 2 + (-1 - 1) - -4. Suppose -8 + 24 = d*o. Let y(j) be the second derivative of j**4/12 - j**3/3 + j**2 + 2*j - 40. Determine y(o).\n' | b'10\n' | b'Let d be 2 + (-1 - 1) - -4. Suppose -8 + 24 = d*o. Let y(j) be the second derivative of j**4/12 - j**3/3 + j**2 + 2*j - 40. Determine y(o).\n' | b'10\n' | deepmind/math_dataset |
b'Suppose -t + 198 = -3*x - 155, -3*t - 111 = x. Let s = -72 - x. Suppose 9*v - 4*v - 35 = -5*l, 0 = v - 5*l + 5. Solve v*y = -5*c + c - s, -4*c = -4*y for y.\n' | b'-5\n' | b'Suppose -t + 198 = -3*x - 155, -3*t - 111 = x. Let s = -72 - x. Suppose 9*v - 4*v - 35 = -5*l, 0 = v - 5*l + 5. Solve v*y = -5*c + c - s, -4*c = -4*y for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(c) = 7*c - 388. Let j be i(55). Let u(p) be the second derivative of p**4/12 + 2*p**3/3 + p**2 + 2*p. What is u(j)?\n' | b'-1\n' | b'Let i(c) = 7*c - 388. Let j be i(55). Let u(p) be the second derivative of p**4/12 + 2*p**3/3 + p**2 + 2*p. What is u(j)?\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hbbmamaaaahab. Give prob of picking 2 m.\n' | b'1/78\n' | b'Two letters picked without replacement from hbbmamaaaahab. Give prob of picking 2 m.\n' | b'1/78\n' | deepmind/math_dataset |
b'Simplify (((g*g**(2/3))/g)/g)/g**(2/7)*(g**0)**(2/9) assuming g is positive.\n' | b'g**(-13/21)\n' | b'Simplify (((g*g**(2/3))/g)/g)/g**(2/7)*(g**0)**(2/9) assuming g is positive.\n' | b'g**(-13/21)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 2, e: 16}. What is prob of picking 1 y and 3 e?\n' | b'56/153\n' | b'Four letters picked without replacement from {y: 2, e: 16}. What is prob of picking 1 y and 3 e?\n' | b'56/153\n' | deepmind/math_dataset |
b'Simplify (l**(1/2)/l)**21/((l*l/(l/l**2*l))/l)**(-20) assuming l is positive.\n' | b'l**(19/2)\n' | b'Simplify (l**(1/2)/l)**21/((l*l/(l/l**2*l))/l)**(-20) assuming l is positive.\n' | b'l**(19/2)\n' | deepmind/math_dataset |
b'What is prob of sequence dd when two letters picked without replacement from {c: 1, d: 18}?\n' | b'17/19\n' | b'What is prob of sequence dd when two letters picked without replacement from {c: 1, d: 18}?\n' | b'17/19\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 3 w when four letters picked without replacement from {w: 3, s: 7}?\n' | b'1/30\n' | b'What is prob of picking 1 s and 3 w when four letters picked without replacement from {w: 3, s: 7}?\n' | b'1/30\n' | deepmind/math_dataset |
b'What is prob of sequence yy when two letters picked without replacement from yyn?\n' | b'1/3\n' | b'What is prob of sequence yy when two letters picked without replacement from yyn?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose 0*s - s = -2. Solve g - 3 = 3*m, -15 = -5*g - 3*m - s*m for g.\n' | b'3\n' | b'Suppose 0*s - s = -2. Solve g - 3 = 3*m, -15 = -5*g - 3*m - s*m for g.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((o*o*(o/(o/o**(-2/27)))/o)**(12/11))**(1/4))**42 assuming o is positive.\n' | b'o**(350/33)\n' | b'Simplify (((o*o*(o/(o/o**(-2/27)))/o)**(12/11))**(1/4))**42 assuming o is positive.\n' | b'o**(350/33)\n' | deepmind/math_dataset |
b'Let k = -4 - -8. Suppose 0 = -k*l + 7 + 1. Suppose 3*s = l*s. Solve -3*h - c - 17 = s, 3*h = -5*c - 15 - 10 for h.\n' | b'-5\n' | b'Let k = -4 - -8. Suppose 0 = -k*l + 7 + 1. Suppose 3*s = l*s. Solve -3*h - c - 17 = s, 3*h = -5*c - 15 - 10 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -19*g + 130*g. Solve -3*k = u + 4 + 1, g = k + 2*u + 5 for k.\n' | b'-1\n' | b'Suppose 0 = -19*g + 130*g. Solve -3*k = u + 4 + 1, g = k + 2*u + 5 for k.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kqkkqkkqhkqkkqkkq. What is prob of picking 3 q and 1 h?\n' | b'1/119\n' | b'Four letters picked without replacement from kqkkqkkqhkqkkqkkq. What is prob of picking 3 q and 1 h?\n' | b'1/119\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yvyyyyvvyvcyyzyyv. What is prob of picking 1 c, 2 v, and 1 z?\n' | b'1/238\n' | b'Four letters picked without replacement from yvyyyyvvyvcyyzyyv. What is prob of picking 1 c, 2 v, and 1 z?\n' | b'1/238\n' | deepmind/math_dataset |
b'Simplify (y/y**(-3))/(y**(-3)/y)*y/(y*y*y*y**(-5))*y/(y/y**(2/7)) assuming y is positive.\n' | b'y**(79/7)\n' | b'Simplify (y/y**(-3))/(y**(-3)/y)*y/(y*y*y*y**(-5))*y/(y/y**(2/7)) assuming y is positive.\n' | b'y**(79/7)\n' | deepmind/math_dataset |
b'Let i = -123 + 125. Solve 2*t = -r - i, -r + 0 + 13 = -3*t for t.\n' | b'-3\n' | b'Let i = -123 + 125. Solve 2*t = -r - i, -r + 0 + 13 = -3*t for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -24*m + 20*m + 24 = 2*g, 2*g - 5*m = -12. Let o(s) = -s**2 + 12*s - 27. Let y be o(g). Solve 21 = -4*r - 0*a - y*a, 0 = -3*r + a + 8 for r.\n' | b'1\n' | b'Suppose -24*m + 20*m + 24 = 2*g, 2*g - 5*m = -12. Let o(s) = -s**2 + 12*s - 27. Let y be o(g). Solve 21 = -4*r - 0*a - y*a, 0 = -3*r + a + 8 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify n**4/n**(-11)*n**(-9)*n*n**9/n assuming n is positive.\n' | b'n**15\n' | b'Simplify n**4/n**(-11)*n**(-9)*n*n**9/n assuming n is positive.\n' | b'n**15\n' | deepmind/math_dataset |
b'Calculate prob of sequence bcrc when four letters picked without replacement from tbtrrtcbrcactr.\n' | b'2/1001\n' | b'Calculate prob of sequence bcrc when four letters picked without replacement from tbtrrtcbrcactr.\n' | b'2/1001\n' | deepmind/math_dataset |
b'What is the third derivative of -14*t**3 - 6*t**3 + 4*t**2 + 3*t**2 + 9*t**2 wrt t?\n' | b'-120\n' | b'What is the third derivative of -14*t**3 - 6*t**3 + 4*t**2 + 3*t**2 + 9*t**2 wrt t?\n' | b'-120\n' | deepmind/math_dataset |
b'Let l = -1705 - -1632. Let a be (-2)/3 + (-452)/6. Let o = l - a. Solve -9 = -f - 2*f, 0 = n - o*f + 7 for n.\n' | b'2\n' | b'Let l = -1705 - -1632. Let a be (-2)/3 + (-452)/6. Let o = l - a. Solve -9 = -f - 2*f, 0 = n - o*f + 7 for n.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 4 q when four letters picked without replacement from qmqmmrqqmqmrqq?\n' | b'5/143\n' | b'What is prob of picking 4 q when four letters picked without replacement from qmqmmrqqmqmrqq?\n' | b'5/143\n' | deepmind/math_dataset |
b'Simplify (((r/(r**(-2/9)/r))/r)/(r*r**3))**21 assuming r is positive.\n' | b'r**(-175/3)\n' | b'Simplify (((r/(r**(-2/9)/r))/r)/(r*r**3))**21 assuming r is positive.\n' | b'r**(-175/3)\n' | deepmind/math_dataset |
b'Let l(c) be the second derivative of 1909*c**5/20 - 493*c**4/12 - 966*c. Find the third derivative of l(h) wrt h.\n' | b'11454\n' | b'Let l(c) be the second derivative of 1909*c**5/20 - 493*c**4/12 - 966*c. Find the third derivative of l(h) wrt h.\n' | b'11454\n' | deepmind/math_dataset |
b'Suppose 2*o - 24 = -o. Let h be (1*o - -2) + -2. Suppose -20*s + 986 = 38*s. Solve 4*y + 4 = -5*n + s, 5*y - h = 2*n for n.\n' | b'1\n' | b'Suppose 2*o - 24 = -o. Let h be (1*o - -2) + -2. Suppose -20*s + 986 = 38*s. Solve 4*y + 4 = -5*n + s, 5*y - h = 2*n for n.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify w**(1/4)*w**(1/14)/w*(w**(2/3)*w*w)**(-13/2) assuming w is positive.\n' | b'w**(-1513/84)\n' | b'Simplify w**(1/4)*w**(1/14)/w*(w**(2/3)*w*w)**(-13/2) assuming w is positive.\n' | b'w**(-1513/84)\n' | deepmind/math_dataset |
b'What is prob of picking 4 r when four letters picked without replacement from {r: 7, z: 1}?\n' | b'1/2\n' | b'What is prob of picking 4 r when four letters picked without replacement from {r: 7, z: 1}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Let z(j) = -j**2 - 14*j - 11. Let u be z(-10). Suppose -h = -2*h + u. Solve -4*c + 2*c + 23 = -3*s, c = 5*s + h for s.\n' | b'-5\n' | b'Let z(j) = -j**2 - 14*j - 11. Let u be z(-10). Suppose -h = -2*h + u. Solve -4*c + 2*c + 23 = -3*s, c = 5*s + h for s.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 8*f + 9 + 7 = 0. Let a be -1 - -5 - 2 - f. Solve 0*l - 24 = -5*p - l, -p + a*l = 12 for p.\n' | b'4\n' | b'Suppose 8*f + 9 + 7 = 0. Let a be -1 - -5 - 2 - f. Solve 0*l - 24 = -5*p - l, -p + a*l = 12 for p.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((v**(-3)*v)**(-4))**(-46)*v**(1/5)*v*(v/(v/(v/(v/(v**0/v)*v)*v)))/v*v**(1/6)*v**(-3/10) assuming v is positive.\n' | b'v**(-5534/15)\n' | b'Simplify ((v**(-3)*v)**(-4))**(-46)*v**(1/5)*v*(v/(v/(v/(v/(v**0/v)*v)*v)))/v*v**(1/6)*v**(-3/10) assuming v is positive.\n' | b'v**(-5534/15)\n' | deepmind/math_dataset |
b'Simplify ((o*o/(o/(o/o**(-6/13))*o*o*o)*o)/(o*o**(-9)))**(-3/29)/(((o/o**(-3/5))/o)**(-29))**(2/45) assuming o is positive.\n' | b'o**(-2884/28275)\n' | b'Simplify ((o*o/(o/(o/o**(-6/13))*o*o*o)*o)/(o*o**(-9)))**(-3/29)/(((o/o**(-3/5))/o)**(-29))**(2/45) assuming o is positive.\n' | b'o**(-2884/28275)\n' | deepmind/math_dataset |
b'Suppose 5*l - 148 + 168 = 0. Let g(q) = -3*q**2 - 29*q - 2. Let i(z) = -2*z**2 - 14*z - 1. Let r(b) = l*g(b) + 7*i(b). What is r(9)?\n' | b'1\n' | b'Suppose 5*l - 148 + 168 = 0. Let g(q) = -3*q**2 - 29*q - 2. Let i(z) = -2*z**2 - 14*z - 1. Let r(b) = l*g(b) + 7*i(b). What is r(9)?\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from iuuhhuhhghhhhgi. What is prob of picking 2 h and 1 i?\n' | b'8/65\n' | b'Three letters picked without replacement from iuuhhuhhghhhhgi. What is prob of picking 2 h and 1 i?\n' | b'8/65\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwwwpwllwpw. Give prob of picking 1 l and 1 p.\n' | b'4/55\n' | b'Two letters picked without replacement from wwwwpwllwpw. Give prob of picking 1 l and 1 p.\n' | b'4/55\n' | deepmind/math_dataset |
b'What is prob of sequence xrk when three letters picked without replacement from xrxrxkx?\n' | b'4/105\n' | b'What is prob of sequence xrk when three letters picked without replacement from xrxrxkx?\n' | b'4/105\n' | deepmind/math_dataset |
b'Suppose 3*d + 10*d - d = 0. Suppose -2*s - 42 + 94 = d. Let y = -22 + s. Solve 5*m + f - 10 = 0, -y*m + 3*f + 12 - 4 = 0 for m.\n' | b'2\n' | b'Suppose 3*d + 10*d - d = 0. Suppose -2*s - 42 + 94 = d. Let y = -22 + s. Solve 5*m + f - 10 = 0, -y*m + 3*f + 12 - 4 = 0 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -18*l = -17*l - 16. Suppose 3*d = a - l, 0*a = a - 5*d - 24. Differentiate 11 - 8*n**4 + 6*n**4 + 13*n**a wrt n.\n' | b'44*n**3\n' | b'Suppose -18*l = -17*l - 16. Suppose 3*d = a - l, 0*a = a - 5*d - 24. Differentiate 11 - 8*n**4 + 6*n**4 + 13*n**a wrt n.\n' | b'44*n**3\n' | deepmind/math_dataset |
b'Let h = -16 - 0. Let m = 9 + h. Let l(x) = x + 10. Let w be l(m). Solve -2*b + 7 = -w*c, 0*c - 31 = 4*b + 3*c for b.\n' | b'-4\n' | b'Let h = -16 - 0. Let m = 9 + h. Let l(x) = x + 10. Let w be l(m). Solve -2*b + 7 = -w*c, 0*c - 31 = 4*b + 3*c for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let s(u) = -102*u**2 - 111*u. Let y(q) = -203*q**2 - 222*q. Let f(w) = -9*s(w) + 4*y(w). Find the second derivative of f(b) wrt b.\n' | b'212\n' | b'Let s(u) = -102*u**2 - 111*u. Let y(q) = -203*q**2 - 222*q. Let f(w) = -9*s(w) + 4*y(w). Find the second derivative of f(b) wrt b.\n' | b'212\n' | deepmind/math_dataset |
b'Let t = 20158 - 20157. Solve 0 = -4*q - 3*j + 14, -4*q + 2*j + t + 3 = 0 for q.\n' | b'2\n' | b'Let t = 20158 - 20157. Solve 0 = -4*q - 3*j + 14, -4*q + 2*j + t + 3 = 0 for q.\n' | b'2\n' | deepmind/math_dataset |
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