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'Let o(b) be the second derivative of -b**4/12 - 2*b**3/3 - 9*b**2/2 + 547*b + 1. Give o(-4).\n' | b'-9\n' | b'Let o(b) be the second derivative of -b**4/12 - 2*b**3/3 - 9*b**2/2 + 547*b + 1. Give o(-4).\n' | b'-9\n' | deepmind/math_dataset |
b'Let l(v) = 73*v**4 - 2*v**3 - 2*v**2 + 56*v. Let k(n) = 145*n**4 - 3*n**3 - 4*n**2 + 105*n. Let c(z) = 3*k(z) - 5*l(z). Find the third derivative of c(d) wrt d.\n' | b'1680*d + 6\n' | b'Let l(v) = 73*v**4 - 2*v**3 - 2*v**2 + 56*v. Let k(n) = 145*n**4 - 3*n**3 - 4*n**2 + 105*n. Let c(z) = 3*k(z) - 5*l(z). Find the third derivative of c(d) wrt d.\n' | b'1680*d + 6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {b: 8, w: 5, u: 4}. What is prob of picking 2 w and 2 u?\n' | b'3/119\n' | b'Four letters picked without replacement from {b: 8, w: 5, u: 4}. What is prob of picking 2 w and 2 u?\n' | b'3/119\n' | deepmind/math_dataset |
b'Simplify (n/n**(2/9)*n)**33*n*n*n*n*n**(-21)*n**4 assuming n is positive.\n' | b'n**(137/3)\n' | b'Simplify (n/n**(2/9)*n)**33*n*n*n*n*n**(-21)*n**4 assuming n is positive.\n' | b'n**(137/3)\n' | deepmind/math_dataset |
b'Suppose -4*n = -x - 4, -x = 3*n - 4*n - 2. Solve -n*c = 2*c - 4*s - 4, 3*c + 4*s - 24 = 0 for c.\n' | b'4\n' | b'Suppose -4*n = -x - 4, -x = 3*n - 4*n - 2. Solve -n*c = 2*c - 4*s - 4, 3*c + 4*s - 24 = 0 for c.\n' | b'4\n' | deepmind/math_dataset |
b'Let w(x) = -x**2 + 5*x + 4. Let k(f) = f**3 - 2*f**2 - 2*f + 3. Let b be k(3). Calculate w(b).\n' | b'-2\n' | b'Let w(x) = -x**2 + 5*x + 4. Let k(f) = f**3 - 2*f**2 - 2*f + 3. Let b be k(3). Calculate w(b).\n' | b'-2\n' | deepmind/math_dataset |
b'Let b(x) = 2*x**2 + 723*x + 2 - 723*x. Calculate b(-2).\n' | b'10\n' | b'Let b(x) = 2*x**2 + 723*x + 2 - 723*x. Calculate b(-2).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((k**15/k)**(1/62))**(1/23) assuming k is positive.\n' | b'k**(7/713)\n' | b'Simplify ((k**15/k)**(1/62))**(1/23) assuming k is positive.\n' | b'k**(7/713)\n' | deepmind/math_dataset |
b'Let i(x) = x**3 + 2*x**2 + 3. Suppose -12*f = -6*f + 1410. Let r = 232 + f. Give i(r).\n' | b'-6\n' | b'Let i(x) = x**3 + 2*x**2 + 3. Suppose -12*f = -6*f + 1410. Let r = 232 + f. Give i(r).\n' | b'-6\n' | deepmind/math_dataset |
b'Let j(t) be the second derivative of -5*t**4/12 + t**3 - 2*t**2 + 3*t. Let w(z) be the first derivative of j(z). What is the first derivative of w(d) wrt d?\n' | b'-10\n' | b'Let j(t) be the second derivative of -5*t**4/12 + t**3 - 2*t**2 + 3*t. Let w(z) be the first derivative of j(z). What is the first derivative of w(d) wrt d?\n' | b'-10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, q: 1, w: 1, o: 1}. Give prob of picking 2 u and 1 o.\n' | b'1/10\n' | b'Three letters picked without replacement from {u: 2, q: 1, w: 1, o: 1}. Give prob of picking 2 u and 1 o.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify ((d/(d/d**1))**45)**(-17) assuming d is positive.\n' | b'd**(-765)\n' | b'Simplify ((d/(d/d**1))**45)**(-17) assuming d is positive.\n' | b'd**(-765)\n' | deepmind/math_dataset |
b'Suppose 324 - 135 = 9*n. Solve 0*i = -4*i + z + n, -2*z - 14 = -i for i.\n' | b'4\n' | b'Suppose 324 - 135 = 9*n. Solve 0*i = -4*i + z + n, -2*z - 14 = -i for i.\n' | b'4\n' | deepmind/math_dataset |
b'Let n = -123 + 120. Let z be (-10)/4*n/(105/14). Solve -4*d - 4*m + 18 + 2 = 0, 0 = -d + m + z for d.\n' | b'3\n' | b'Let n = -123 + 120. Let z be (-10)/4*n/(105/14). Solve -4*d - 4*m + 18 + 2 = 0, 0 = -d + m + z for d.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 0 = 4*d - 6 + 30. Let h be (-3)/d + 82/4. Solve -b + h = 4*y, -y + 7*b - 4*b - 11 = 0 for y.\n' | b'4\n' | b'Suppose 0 = 4*d - 6 + 30. Let h be (-3)/d + 82/4. Solve -b + h = 4*y, -y + 7*b - 4*b - 11 = 0 for y.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -3*f = 5*w - 21, 0 = 89*w - 90*w - 3*f - 3. Solve 4*o - 2 - w = 0, 0 = -4*j + 4*o for j.\n' | b'2\n' | b'Suppose -3*f = 5*w - 21, 0 = 89*w - 90*w - 3*f - 3. Solve 4*o - 2 - w = 0, 0 = -4*j + 4*o for j.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from {w: 3, z: 17}?\n' | b'68/95\n' | b'What is prob of picking 2 z when two letters picked without replacement from {w: 3, z: 17}?\n' | b'68/95\n' | deepmind/math_dataset |
b'Simplify ((m/m**(-2/15)*m)/m*m*m**7)**34*(m**(-2/9)/(m/(m*(m*m**(-9)/m)/m)))/(m*m**(2/13)*m*m/((m*m**(4/3))/m)) assuming m is positive.\n' | b'm**(174617/585)\n' | b'Simplify ((m/m**(-2/15)*m)/m*m*m**7)**34*(m**(-2/9)/(m/(m*(m*m**(-9)/m)/m)))/(m*m**(2/13)*m*m/((m*m**(4/3))/m)) assuming m is positive.\n' | b'm**(174617/585)\n' | deepmind/math_dataset |
b'Let p(v) = 3*v**3 - 3*v**4 + 4*v**4 - 3 - v - 4*v. Let s(o) = -4*o**3 + 5*o + 4. Let m(x) = 4*p(x) + 3*s(x). What is the second derivative of m(q) wrt q?\n' | b'48*q**2\n' | b'Let p(v) = 3*v**3 - 3*v**4 + 4*v**4 - 3 - v - 4*v. Let s(o) = -4*o**3 + 5*o + 4. Let m(x) = 4*p(x) + 3*s(x). What is the second derivative of m(q) wrt q?\n' | b'48*q**2\n' | deepmind/math_dataset |
b'Suppose 4*m + 2*w = -0*m + 12, 26 = 5*m - 3*w. Let o = 0 - -3. Find the second derivative of 4*j - 2*j**3 - 2*j + m*j**o wrt j.\n' | b'12*j\n' | b'Suppose 4*m + 2*w = -0*m + 12, 26 = 5*m - 3*w. Let o = 0 - -3. Find the second derivative of 4*j - 2*j**3 - 2*j + m*j**o wrt j.\n' | b'12*j\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lzlllzllllllllzzlll. Give prob of picking 4 z.\n' | b'1/3876\n' | b'Four letters picked without replacement from lzlllzllllllllzzlll. Give prob of picking 4 z.\n' | b'1/3876\n' | deepmind/math_dataset |
b'Let x(l) = -l**2 + 6*l - 4. Suppose 2*y = y. Let z be (-1 - y)/(5/(-20)). Suppose 2*d + 8 = 3*f - z, 0 = 5*f + d - 20. Calculate x(f).\n' | b'4\n' | b'Let x(l) = -l**2 + 6*l - 4. Suppose 2*y = y. Let z be (-1 - y)/(5/(-20)). Suppose 2*d + 8 = 3*f - z, 0 = 5*f + d - 20. Calculate x(f).\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ffrvffrvooo. What is prob of picking 3 o?\n' | b'1/165\n' | b'Three letters picked without replacement from ffrvffrvooo. What is prob of picking 3 o?\n' | b'1/165\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zzttcztctznccztctc. Give prob of sequence czz.\n' | b'5/204\n' | b'Three letters picked without replacement from zzttcztctznccztctc. Give prob of sequence czz.\n' | b'5/204\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjnuwjwnvjwnnjnjnw. Give prob of picking 1 j, 1 n, 1 w, and 1 u.\n' | b'4/85\n' | b'Four letters picked without replacement from jjnuwjwnvjwnnjnjnw. Give prob of picking 1 j, 1 n, 1 w, and 1 u.\n' | b'4/85\n' | deepmind/math_dataset |
b'Simplify (((p/(p/(p*((p/p**(-5/3))/p*p)/p)))/p)/p)/p*p*p**(-1)*p*p**12*p*p**(1/13) assuming p is positive.\n' | b'p**(536/39)\n' | b'Simplify (((p/(p/(p*((p/p**(-5/3))/p*p)/p)))/p)/p)/p*p*p**(-1)*p*p**12*p*p**(1/13) assuming p is positive.\n' | b'p**(536/39)\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 i when two letters picked without replacement from dddiqidiiid?\n' | b'5/11\n' | b'What is prob of picking 1 d and 1 i when two letters picked without replacement from dddiqidiiid?\n' | b'5/11\n' | deepmind/math_dataset |
b'Simplify (s/(((s/(s/((s/((s/s**(-1/3))/s))/s)*s))/s)/s)*s)**20/(s**(-7)/((s/(s/s**(1/11)))/s*s)) assuming s is positive.\n' | b's**(3754/33)\n' | b'Simplify (s/(((s/(s/((s/((s/s**(-1/3))/s))/s)*s))/s)/s)*s)**20/(s**(-7)/((s/(s/s**(1/11)))/s*s)) assuming s is positive.\n' | b's**(3754/33)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 3, c: 2}. What is prob of sequence uucu?\n' | b'1/10\n' | b'Four letters picked without replacement from {u: 3, c: 2}. What is prob of sequence uucu?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let g(m) = 18*m + 16*m - 49*m + 16*m - 14 + 5. Calculate g(-3).\n' | b'-12\n' | b'Let g(m) = 18*m + 16*m - 49*m + 16*m - 14 + 5. Calculate g(-3).\n' | b'-12\n' | deepmind/math_dataset |
b'Calculate prob of sequence ee when two letters picked without replacement from epppevppeeeppepee.\n' | b'7/34\n' | b'Calculate prob of sequence ee when two letters picked without replacement from epppevppeeeppepee.\n' | b'7/34\n' | deepmind/math_dataset |
b'Let u be (-62)/12 - (-1)/6. Let l(i) = -4*i - 3*i - i**2 + 2 + 0*i. Calculate l(u).\n' | b'12\n' | b'Let u be (-62)/12 - (-1)/6. Let l(i) = -4*i - 3*i - i**2 + 2 + 0*i. Calculate l(u).\n' | b'12\n' | deepmind/math_dataset |
b'Simplify ((u*(u*u**(2/3)/u*u*u)/u*u*u/u**(-3))/((u*u*u**(1/4)/u*u)/u)**39)**(-2/9) assuming u is positive.\n' | b'u**(493/54)\n' | b'Simplify ((u*(u*u**(2/3)/u*u*u)/u*u*u/u**(-3))/((u*u*u**(1/4)/u*u)/u)**39)**(-2/9) assuming u is positive.\n' | b'u**(493/54)\n' | deepmind/math_dataset |
b'Let c(k) = 5*k**2 - 6*k + 11. Let n(s) = -12*s**2 + 12*s - 23. Let w(v) = 7*c(v) + 3*n(v). Determine w(-7).\n' | b'1\n' | b'Let c(k) = 5*k**2 - 6*k + 11. Let n(s) = -12*s**2 + 12*s - 23. Let w(v) = 7*c(v) + 3*n(v). Determine w(-7).\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ifr. Give prob of sequence ir.\n' | b'1/6\n' | b'Two letters picked without replacement from ifr. Give prob of sequence ir.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((f**(3/8)/(f*f**(-3)))/(f/(f**(-1/2)/f))**(24/7))**35 assuming f is positive.\n' | b'f**(-1735/8)\n' | b'Simplify ((f**(3/8)/(f*f**(-3)))/(f/(f**(-1/2)/f))**(24/7))**35 assuming f is positive.\n' | b'f**(-1735/8)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from egrkeoh. Give prob of sequence hg.\n' | b'1/42\n' | b'Two letters picked without replacement from egrkeoh. Give prob of sequence hg.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let k(y) = y + 5 - 2 + 2*y. Suppose -h - 3 + 0 = 0. What is k(h)?\n' | b'-6\n' | b'Let k(y) = y + 5 - 2 + 2*y. Suppose -h - 3 + 0 = 0. What is k(h)?\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 4 d when four letters picked without replacement from tdddkdkkdddtdddddtd?\n' | b'715/3876\n' | b'What is prob of picking 4 d when four letters picked without replacement from tdddkdkkdddtdddddtd?\n' | b'715/3876\n' | deepmind/math_dataset |
b'Simplify (f**(7/4)/(f/(f**(-4/5)/f*f))*(f**(-2/15)*f)**(3/14))**(-1/59) assuming f is positive.\n' | b'f**(-19/8260)\n' | b'Simplify (f**(7/4)/(f/(f**(-4/5)/f*f))*(f**(-2/15)*f)**(3/14))**(-1/59) assuming f is positive.\n' | b'f**(-19/8260)\n' | deepmind/math_dataset |
b'Suppose -2*d = -3 - 15. Suppose -3*r = -d - 3. What is the derivative of -4*u**4 + 4 + 0*u**r - 8 wrt u?\n' | b'-16*u**3\n' | b'Suppose -2*d = -3 - 15. Suppose -3*r = -d - 3. What is the derivative of -4*u**4 + 4 + 0*u**r - 8 wrt u?\n' | b'-16*u**3\n' | deepmind/math_dataset |
b'Simplify (l**(2/27)*l*l)/l**20*l**(2/7)/(l/(l/l**(-1/3))) assuming l is positive.\n' | b'l**(-3271/189)\n' | b'Simplify (l**(2/27)*l*l)/l**20*l**(2/7)/(l/(l/l**(-1/3))) assuming l is positive.\n' | b'l**(-3271/189)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mkmmjkjkjomjkmjmj. Give prob of picking 1 m and 1 o.\n' | b'3/68\n' | b'Two letters picked without replacement from mkmmjkjkjomjkmjmj. Give prob of picking 1 m and 1 o.\n' | b'3/68\n' | deepmind/math_dataset |
b'Let w be (-147)/(-63) + 1/(-3). Solve 3*u - 4*s + 17 = 0, 2*u + 5*s + w = -2*u for u.\n' | b'-3\n' | b'Let w be (-147)/(-63) + 1/(-3). Solve 3*u - 4*s + 17 = 0, 2*u + 5*s + w = -2*u for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from eeieieieieeeeieeie. Give prob of picking 2 e.\n' | b'22/51\n' | b'Two letters picked without replacement from eeieieieieeeeieeie. Give prob of picking 2 e.\n' | b'22/51\n' | deepmind/math_dataset |
b'Let v(t) be the second derivative of -1/2*t**2 + 0 - t - 1/3*t**3. Determine v(-3).\n' | b'5\n' | b'Let v(t) be the second derivative of -1/2*t**2 + 0 - t - 1/3*t**3. Determine v(-3).\n' | b'5\n' | deepmind/math_dataset |
b'Let x = -67 - -43. Let g be x/(6/4*-1). Solve -4*d - g = -4*a, 2*a = -5*d - 4 - 2 for d.\n' | b'-2\n' | b'Let x = -67 - -43. Let g be x/(6/4*-1). Solve -4*d - g = -4*a, 2*a = -5*d - 4 - 2 for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kkkklklkkl. Give prob of picking 3 k and 1 l.\n' | b'1/2\n' | b'Four letters picked without replacement from kkkklklkkl. Give prob of picking 3 k and 1 l.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let t(r) = -3 - 8*r**2 + r**3 - 9*r - 3*r + 4*r. Let v(o) = -o**2 + 11*o + 9. Let p be v(11). Calculate t(p).\n' | b'6\n' | b'Let t(r) = -3 - 8*r**2 + r**3 - 9*r - 3*r + 4*r. Let v(o) = -o**2 + 11*o + 9. Let p be v(11). Calculate t(p).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence kjwk when four letters picked without replacement from {k: 11, j: 1, w: 1, s: 1, x: 1}?\n' | b'11/3276\n' | b'What is prob of sequence kjwk when four letters picked without replacement from {k: 11, j: 1, w: 1, s: 1, x: 1}?\n' | b'11/3276\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 5, x: 2}. Give prob of picking 2 x and 1 w.\n' | b'1/7\n' | b'Three letters picked without replacement from {w: 5, x: 2}. Give prob of picking 2 x and 1 w.\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify (((f/(f/f**(-1/2))*f)/f*f/f**(3/2)*f)/(f**(-2)/(f*f**(-2/9))))**42 assuming f is positive.\n' | b'f**(350/3)\n' | b'Simplify (((f/(f/f**(-1/2))*f)/f*f/f**(3/2)*f)/(f**(-2)/(f*f**(-2/9))))**42 assuming f is positive.\n' | b'f**(350/3)\n' | deepmind/math_dataset |
b'Let q = 11 + -5. Solve -2*b = 2*k, 2*k - 3*b + 2*b + q = 0 for k.\n' | b'-2\n' | b'Let q = 11 + -5. Solve -2*b = 2*k, 2*k - 3*b + 2*b + q = 0 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Let d be (-7 + 10)*(0 - 2). Let l(i) = i**2 + 4*i - 8. Determine l(d).\n' | b'4\n' | b'Let d be (-7 + 10)*(0 - 2). Let l(i) = i**2 + 4*i - 8. Determine l(d).\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 0 = 4*u - 7 - 1. Suppose 4*r = 4 + 4. Let t(v) = -5*v**r + 0*v**u + 4 + 4*v**2 + 6*v. Calculate t(5).\n' | b'9\n' | b'Suppose 0 = 4*u - 7 - 1. Suppose 4*r = 4 + 4. Let t(v) = -5*v**r + 0*v**u + 4 + 4*v**2 + 6*v. Calculate t(5).\n' | b'9\n' | deepmind/math_dataset |
b'Calculate prob of sequence sc when two letters picked without replacement from {r: 9, s: 8, c: 2}.\n' | b'8/171\n' | b'Calculate prob of sequence sc when two letters picked without replacement from {r: 9, s: 8, c: 2}.\n' | b'8/171\n' | deepmind/math_dataset |
b'What is the second derivative of 3 - 76*m + 660*m**2 - 1283*m**2 - 457*m - 1441*m**2 + 228*m wrt m?\n' | b'-4128\n' | b'What is the second derivative of 3 - 76*m + 660*m**2 - 1283*m**2 - 457*m - 1441*m**2 + 228*m wrt m?\n' | b'-4128\n' | deepmind/math_dataset |
b'Simplify (p/(p*p**1/p))**27/((p**(-1/5)*p)/p*p*p/p**(-3/4)) assuming p is positive.\n' | b'p**(-51/20)\n' | b'Simplify (p/(p*p**1/p))**27/((p**(-1/5)*p)/p*p*p/p**(-3/4)) assuming p is positive.\n' | b'p**(-51/20)\n' | deepmind/math_dataset |
b'Calculate prob of sequence mi when two letters picked without replacement from simi.\n' | b'1/6\n' | b'Calculate prob of sequence mi when two letters picked without replacement from simi.\n' | b'1/6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 2 l when three letters picked without replacement from xnxmxlllyllllxllln.\n' | b'15/136\n' | b'Calculate prob of picking 1 n and 2 l when three letters picked without replacement from xnxmxlllyllllxllln.\n' | b'15/136\n' | deepmind/math_dataset |
b'Simplify ((z**(6/11)/(z/(z/(z/z**3))))/(z/((z**(-2/11)*z)/z)*z/z**(-6)))**(-2/33) assuming z is positive.\n' | b'z**(124/363)\n' | b'Simplify ((z**(6/11)/(z/(z/(z/z**3))))/(z/((z**(-2/11)*z)/z)*z/z**(-6)))**(-2/33) assuming z is positive.\n' | b'z**(124/363)\n' | deepmind/math_dataset |
b'Let v(l) = l**3 - 8*l**2 + 9*l - 10. Let r be v(7). Suppose -3*g = -r*g - 4, -3*y - g + 5 = 0. Find the third derivative of d**y + 2*d**2 - 2*d**6 - d**3 wrt d.\n' | b'-240*d**3\n' | b'Let v(l) = l**3 - 8*l**2 + 9*l - 10. Let r be v(7). Suppose -3*g = -r*g - 4, -3*y - g + 5 = 0. Find the third derivative of d**y + 2*d**2 - 2*d**6 - d**3 wrt d.\n' | b'-240*d**3\n' | deepmind/math_dataset |
b'Let s(f) be the first derivative of 0*f - 11/5*f**5 - 1/3*f**3 - 7/4*f**4 - 89 - 68*f**2. Find the third derivative of s(w) wrt w.\n' | b'-264*w - 42\n' | b'Let s(f) be the first derivative of 0*f - 11/5*f**5 - 1/3*f**3 - 7/4*f**4 - 89 - 68*f**2. Find the third derivative of s(w) wrt w.\n' | b'-264*w - 42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffffkcrfcncc. What is prob of sequence nk?\n' | b'1/132\n' | b'Two letters picked without replacement from ffffkcrfcncc. What is prob of sequence nk?\n' | b'1/132\n' | deepmind/math_dataset |
b'Let l(y) be the second derivative of y**6/40 + y**4/12 + 5*y**2/2 + 5*y. Let v(z) be the first derivative of l(z). What is the second derivative of v(n) wrt n?\n' | b'18*n\n' | b'Let l(y) be the second derivative of y**6/40 + y**4/12 + 5*y**2/2 + 5*y. Let v(z) be the first derivative of l(z). What is the second derivative of v(n) wrt n?\n' | b'18*n\n' | deepmind/math_dataset |
b'Let n(v) be the first derivative of v**2/2 - 28*v + 270. Let f be n(28). Solve 2*u = 4, f = 4*z - 5*u + 3 - 1 for z.\n' | b'2\n' | b'Let n(v) be the first derivative of v**2/2 - 28*v + 270. Let f be n(28). Solve 2*u = 4, f = 4*z - 5*u + 3 - 1 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (s*s/(s**(-5)*s)*s**(-3))**(-32)/(s**(-7)*s**1)**43 assuming s is positive.\n' | b's**162\n' | b'Simplify (s*s/(s**(-5)*s)*s**(-3))**(-32)/(s**(-7)*s**1)**43 assuming s is positive.\n' | b's**162\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ahhnayyanaaaaaahhaa. What is prob of picking 2 h?\n' | b'2/57\n' | b'Two letters picked without replacement from ahhnayyanaaaaaahhaa. What is prob of picking 2 h?\n' | b'2/57\n' | deepmind/math_dataset |
b'Let f(b) be the second derivative of b**5/20 - b**4/4 + b**3/3 - 2*b. Let r be f(3). Let q(a) = -a**2 + 6*a + 3. Calculate q(r).\n' | b'3\n' | b'Let f(b) be the second derivative of b**5/20 - b**4/4 + b**3/3 - 2*b. Let r be f(3). Let q(a) = -a**2 + 6*a + 3. Calculate q(r).\n' | b'3\n' | deepmind/math_dataset |
b'Let i = 16 - 10. Let v = i - 3. Solve -v*m = z - 3, 0*z + 5*m = -z + 7 for z.\n' | b'-3\n' | b'Let i = 16 - 10. Let v = i - 3. Solve -v*m = z - 3, 0*z + 5*m = -z + 7 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify m*m**(-2/39)*m/(m/(((m*(m*m**7/m)/m)/m)/m)*m*m)*m/m**(-23)*m*m*m**(-3/22) assuming m is positive.\n' | b'm**(25579/858)\n' | b'Simplify m*m**(-2/39)*m/(m/(((m*(m*m**7/m)/m)/m)/m)*m*m)*m/m**(-23)*m*m*m**(-3/22) assuming m is positive.\n' | b'm**(25579/858)\n' | deepmind/math_dataset |
b'Simplify a*a/(a**8*a)*a*a/(a/(a**(-4/7)*a*a)*a)*a assuming a is positive.\n' | b'a**(-32/7)\n' | b'Simplify a*a/(a**8*a)*a*a/(a/(a**(-4/7)*a*a)*a)*a assuming a is positive.\n' | b'a**(-32/7)\n' | deepmind/math_dataset |
b'Let q = 33748 + -33737. Solve 0 = 2*v - 5*o - 35, 8*v - q*v = -5*o - 40 for v.\n' | b'5\n' | b'Let q = 33748 + -33737. Solve 0 = 2*v - 5*o - 35, 8*v - q*v = -5*o - 40 for v.\n' | b'5\n' | deepmind/math_dataset |
b'Let b(d) be the second derivative of 0*d**2 - 92*d - 50/3*d**3 + 1/4*d**5 + 0 + 1/3*d**4. Find the second derivative of b(w) wrt w.\n' | b'30*w + 8\n' | b'Let b(d) be the second derivative of 0*d**2 - 92*d - 50/3*d**3 + 1/4*d**5 + 0 + 1/3*d**4. Find the second derivative of b(w) wrt w.\n' | b'30*w + 8\n' | deepmind/math_dataset |
b'Let m(y) = 2*y**2 - 2*y - 15. Let o = 12776 - 12771. Give m(o).\n' | b'25\n' | b'Let m(y) = 2*y**2 - 2*y - 15. Let o = 12776 - 12771. Give m(o).\n' | b'25\n' | deepmind/math_dataset |
b'Let p(u) = 5*u + 0*u + 2 + 3*u**2 - 2*u**2. Let y(w) = w**3 - 20*w**2 - 2*w + 35. Suppose -4*r + 20 + 60 = 0. Let v be y(r). Calculate p(v).\n' | b'2\n' | b'Let p(u) = 5*u + 0*u + 2 + 3*u**2 - 2*u**2. Let y(w) = w**3 - 20*w**2 - 2*w + 35. Suppose -4*r + 20 + 60 = 0. Let v be y(r). Calculate p(v).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((z/z**(-1))/z)**(25/2)*z**(-4)/(z/z**5))**(1/7) assuming z is positive.\n' | b'z**(25/14)\n' | b'Simplify (((z/z**(-1))/z)**(25/2)*z**(-4)/(z/z**5))**(1/7) assuming z is positive.\n' | b'z**(25/14)\n' | deepmind/math_dataset |
b'Let w = -9 - -13. Suppose n = -3*a + 8, -2*a - 5*n + w = -5*a. What is the second derivative of -19*f**2 + 17*f**a - f - 4*f wrt f?\n' | b'-4\n' | b'Let w = -9 - -13. Suppose n = -3*a + 8, -2*a - 5*n + w = -5*a. What is the second derivative of -19*f**2 + 17*f**a - f - 4*f wrt f?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {t: 2, z: 1, y: 2, j: 1, n: 1}.\n' | b'1/21\n' | b'Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {t: 2, z: 1, y: 2, j: 1, n: 1}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let n(g) be the first derivative of g**5/12 - 5*g**4/24 + 2*g**3/3 - 5. Let y(l) be the third derivative of n(l). Differentiate y(c) with respect to c.\n' | b'10\n' | b'Let n(g) be the first derivative of g**5/12 - 5*g**4/24 + 2*g**3/3 - 5. Let y(l) be the third derivative of n(l). Differentiate y(c) with respect to c.\n' | b'10\n' | deepmind/math_dataset |
b'Let z(m) be the first derivative of 24*m**2 - 5*m + 10. Differentiate z(h) wrt h.\n' | b'48\n' | b'Let z(m) be the first derivative of 24*m**2 - 5*m + 10. Differentiate z(h) wrt h.\n' | b'48\n' | deepmind/math_dataset |
b'What is prob of picking 3 f when three letters picked without replacement from {c: 4, y: 9, f: 4}?\n' | b'1/170\n' | b'What is prob of picking 3 f when three letters picked without replacement from {c: 4, y: 9, f: 4}?\n' | b'1/170\n' | deepmind/math_dataset |
b'What is prob of sequence dlbd when four letters picked without replacement from {h: 2, b: 1, d: 2, m: 4, l: 9, q: 2}?\n' | b'1/6460\n' | b'What is prob of sequence dlbd when four letters picked without replacement from {h: 2, b: 1, d: 2, m: 4, l: 9, q: 2}?\n' | b'1/6460\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 7, k: 6, e: 1, z: 3}. What is prob of sequence zz?\n' | b'3/136\n' | b'Two letters picked without replacement from {y: 7, k: 6, e: 1, z: 3}. What is prob of sequence zz?\n' | b'3/136\n' | deepmind/math_dataset |
b'Simplify ((h/(h**0/h))**7/(h**(2/9)*h/(h/(h/((h/(h**(2/3)*h))/h)))))/(h**(2/11)/h*h/(h/(h**(-3/2)/h))*h*h*(h*h**(-1)/h)**(-1/9)) assuming h is positive.\n' | b'h**(271/22)\n' | b'Simplify ((h/(h**0/h))**7/(h**(2/9)*h/(h/(h/((h/(h**(2/3)*h))/h)))))/(h**(2/11)/h*h/(h/(h**(-3/2)/h))*h*h*(h*h**(-1)/h)**(-1/9)) assuming h is positive.\n' | b'h**(271/22)\n' | deepmind/math_dataset |
b'Let o(c) = 0 - 3*c + 3 + c. Determine o(5).\n' | b'-7\n' | b'Let o(c) = 0 - 3*c + 3 + c. Determine o(5).\n' | b'-7\n' | deepmind/math_dataset |
b'What is prob of sequence qskl when four letters picked without replacement from {k: 1, l: 1, j: 1, q: 2, f: 1, s: 1}?\n' | b'1/420\n' | b'What is prob of sequence qskl when four letters picked without replacement from {k: 1, l: 1, j: 1, q: 2, f: 1, s: 1}?\n' | b'1/420\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 3, a: 3, l: 2, z: 5}. Give prob of sequence alzl.\n' | b'1/572\n' | b'Four letters picked without replacement from {d: 3, a: 3, l: 2, z: 5}. Give prob of sequence alzl.\n' | b'1/572\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, o: 2, p: 1, v: 1, m: 2, g: 2}. Give prob of sequence vg.\n' | b'1/36\n' | b'Two letters picked without replacement from {d: 1, o: 2, p: 1, v: 1, m: 2, g: 2}. Give prob of sequence vg.\n' | b'1/36\n' | deepmind/math_dataset |
b'Let l(o) be the third derivative of 263*o**7/210 - o**4/24 + 21*o**3/2 + 20*o**2 - 17*o. Find the second derivative of l(t) wrt t.\n' | b'3156*t**2\n' | b'Let l(o) be the third derivative of 263*o**7/210 - o**4/24 + 21*o**3/2 + 20*o**2 - 17*o. Find the second derivative of l(t) wrt t.\n' | b'3156*t**2\n' | deepmind/math_dataset |
b'What is prob of sequence cq when two letters picked without replacement from {n: 3, c: 1, q: 3}?\n' | b'1/14\n' | b'What is prob of sequence cq when two letters picked without replacement from {n: 3, c: 1, q: 3}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Two letters picked without replacement from evevuveuuueeeev. Give prob of sequence eu.\n' | b'2/15\n' | b'Two letters picked without replacement from evevuveuuueeeev. Give prob of sequence eu.\n' | b'2/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 4, t: 16}. What is prob of picking 3 t and 1 f?\n' | b'448/969\n' | b'Four letters picked without replacement from {f: 4, t: 16}. What is prob of picking 3 t and 1 f?\n' | b'448/969\n' | deepmind/math_dataset |
b'Calculate prob of sequence wy when two letters picked without replacement from yzzemeywee.\n' | b'1/45\n' | b'Calculate prob of sequence wy when two letters picked without replacement from yzzemeywee.\n' | b'1/45\n' | deepmind/math_dataset |
b'Let r(b) = -2*b**2 - 2*b + 43. Let p = -397 + 401. Let y be r(p). Solve y*g - 2*i = 13, -3 + 26 = 5*g - 2*i for g.\n' | b'5\n' | b'Let r(b) = -2*b**2 - 2*b + 43. Let p = -397 + 401. Let y be r(p). Solve y*g - 2*i = 13, -3 + 26 = 5*g - 2*i for g.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 v when two letters picked without replacement from {m: 1, t: 3, h: 2, a: 5, v: 1, w: 1}?\n' | b'5/78\n' | b'What is prob of picking 1 a and 1 v when two letters picked without replacement from {m: 1, t: 3, h: 2, a: 5, v: 1, w: 1}?\n' | b'5/78\n' | deepmind/math_dataset |
b'What is prob of picking 1 w, 1 d, and 1 g when three letters picked without replacement from {d: 3, g: 5, w: 1, y: 9}?\n' | b'5/272\n' | b'What is prob of picking 1 w, 1 d, and 1 g when three letters picked without replacement from {d: 3, g: 5, w: 1, y: 9}?\n' | b'5/272\n' | deepmind/math_dataset |
b'Simplify (k*k**(2/3)*k*k/k**(1/38))/(k**(3/2)*(k*(k**(7/6)*k*k)/k*k*k)/k) assuming k is positive.\n' | b'k**(-77/38)\n' | b'Simplify (k*k**(2/3)*k*k/k**(1/38))/(k**(3/2)*(k*(k**(7/6)*k*k)/k*k*k)/k) assuming k is positive.\n' | b'k**(-77/38)\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 3 i when four letters picked without replacement from yyyyiyiiyyyyiyyyyyy?\n' | b'5/323\n' | b'What is prob of picking 1 y and 3 i when four letters picked without replacement from yyyyiyiiyyyyiyyyyyy?\n' | b'5/323\n' | deepmind/math_dataset |
b'Let s be 27/(-36) + (-59)/(-4). Let o be ((-12)/4 - -4)*s/2. Suppose -8*l + 3 = -7*l. Solve -l*i + 4*f = o, 0*i = 2*i + 2*f + 14 for i.\n' | b'-5\n' | b'Let s be 27/(-36) + (-59)/(-4). Let o be ((-12)/4 - -4)*s/2. Suppose -8*l + 3 = -7*l. Solve -l*i + 4*f = o, 0*i = 2*i + 2*f + 14 for i.\n' | b'-5\n' | deepmind/math_dataset |
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