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 prob of picking 2 o and 1 e when three letters picked without replacement from {o: 3, w: 5, e: 1}?\n' | b'1/28\n' | b'What is prob of picking 2 o and 1 e when three letters picked without replacement from {o: 3, w: 5, e: 1}?\n' | b'1/28\n' | deepmind/math_dataset |
b'Let d(w) = -w**3 + 3*w**2 + 4*w - 4. Let i be d(3). Suppose 13*o - 15*o + i = 0. Let f(l) = l**2 - 3*l + 2. Determine f(o).\n' | b'6\n' | b'Let d(w) = -w**3 + 3*w**2 + 4*w - 4. Let i be d(3). Suppose 13*o - 15*o + i = 0. Let f(l) = l**2 - 3*l + 2. Determine f(o).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvvvfvufvvveefeuf. Give prob of sequence fv.\n' | b'2/17\n' | b'Two letters picked without replacement from vvvvvfvufvvveefeuf. Give prob of sequence fv.\n' | b'2/17\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzzzzzzzzzyzzz.\n' | b'9/10\n' | b'Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzzzzzzzzzyzzz.\n' | b'9/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 2, u: 8, w: 3, n: 6}. Give prob of sequence an.\n' | b'2/57\n' | b'Two letters picked without replacement from {a: 2, u: 8, w: 3, n: 6}. Give prob of sequence an.\n' | b'2/57\n' | deepmind/math_dataset |
b'Let i(j) = -17*j**3 - 162*j**2 - 14*j + 2. Let q(r) = 6*r**3 + 58*r**2 + 5*r - 1. Let n(s) = 4*i(s) + 11*q(s). Determine n(-5).\n' | b'2\n' | b'Let i(j) = -17*j**3 - 162*j**2 - 14*j + 2. Let q(r) = 6*r**3 + 58*r**2 + 5*r - 1. Let n(s) = 4*i(s) + 11*q(s). Determine n(-5).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify d**(-1/80)*d**(-11)*d assuming d is positive.\n' | b'd**(-801/80)\n' | b'Simplify d**(-1/80)*d**(-11)*d assuming d is positive.\n' | b'd**(-801/80)\n' | deepmind/math_dataset |
b'What is prob of sequence qq when two letters picked without replacement from {u: 10, q: 9}?\n' | b'4/19\n' | b'What is prob of sequence qq when two letters picked without replacement from {u: 10, q: 9}?\n' | b'4/19\n' | deepmind/math_dataset |
b'Let g be 6*(10/(-6) - -2). Suppose -2*k = -3*f + 2, 3*k = -g*f - f + 27. Suppose f = 3*w - 5*w. Let t(y) = 3*y + 1. Calculate t(w).\n' | b'-5\n' | b'Let g be 6*(10/(-6) - -2). Suppose -2*k = -3*f + 2, 3*k = -g*f - f + 27. Suppose f = 3*w - 5*w. Let t(y) = 3*y + 1. Calculate t(w).\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bxffxvfnnnx. What is prob of picking 1 x and 1 v?\n' | b'3/55\n' | b'Two letters picked without replacement from bxffxvfnnnx. What is prob of picking 1 x and 1 v?\n' | b'3/55\n' | deepmind/math_dataset |
b'What is prob of picking 2 n when two letters picked without replacement from lllllnlnnlll?\n' | b'1/22\n' | b'What is prob of picking 2 n when two letters picked without replacement from lllllnlnnlll?\n' | b'1/22\n' | deepmind/math_dataset |
b'Let q(m) = -64*m**5 - 3*m**4 + 206*m + 2. Let o(p) = p**5 + p**4 - p - 1. Let z(n) = -3*o(n) - q(n). What is the second derivative of z(j) wrt j?\n' | b'1220*j**3\n' | b'Let q(m) = -64*m**5 - 3*m**4 + 206*m + 2. Let o(p) = p**5 + p**4 - p - 1. Let z(n) = -3*o(n) - q(n). What is the second derivative of z(j) wrt j?\n' | b'1220*j**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from quguhgxx. What is prob of picking 1 x and 1 h?\n' | b'1/14\n' | b'Two letters picked without replacement from quguhgxx. What is prob of picking 1 x and 1 h?\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -4*n = 2*i - 42, 3*n - i + 0*i = 24. Solve 3*a + 5*q + 7 = 2, 3*q = -3*a - n for a.\n' | b'-5\n' | b'Suppose -4*n = 2*i - 42, 3*n - i + 0*i = 24. Solve 3*a + 5*q + 7 = 2, 3*q = -3*a - n for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify p/(p/(p*p*p/p**(-8/5)*p)*p)*p**5*(p/(p**(-1/17)/p))/((p*p**11/p*p)/p*p) assuming p is positive.\n' | b'p**(-29/85)\n' | b'Simplify p/(p/(p*p*p/p**(-8/5)*p)*p)*p**5*(p/(p**(-1/17)/p))/((p*p**11/p*p)/p*p) assuming p is positive.\n' | b'p**(-29/85)\n' | deepmind/math_dataset |
b'Suppose -3*m + j + 9 = 0, -m - m - 5 = 3*j. Let v be m - ((-12)/(-20) + 0)*-5. Solve 0 = -2*x + v*x - 3*z - 6, -x = -2*z - 2 for x.\n' | b'2\n' | b'Suppose -3*m + j + 9 = 0, -m - m - 5 = 3*j. Let v be m - ((-12)/(-20) + 0)*-5. Solve 0 = -2*x + v*x - 3*z - 6, -x = -2*z - 2 for x.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 3, r: 7, c: 8}. What is prob of picking 2 f and 2 r?\n' | b'7/340\n' | b'Four letters picked without replacement from {f: 3, r: 7, c: 8}. What is prob of picking 2 f and 2 r?\n' | b'7/340\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hhzhzhwhwzhhhhzw. What is prob of sequence wzz?\n' | b'3/280\n' | b'Three letters picked without replacement from hhzhzhwhwzhhhhzw. What is prob of sequence wzz?\n' | b'3/280\n' | deepmind/math_dataset |
b'Let z(i) = -i**2 + 38*i - 149. Let t be z(33). Solve 4*s = -0*s + t, 5*m - 5*s = -15 for m.\n' | b'1\n' | b'Let z(i) = -i**2 + 38*i - 149. Let t be z(33). Solve 4*s = -0*s + t, 5*m - 5*s = -15 for m.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (y*y**(11/5)*y**13)/((y**(-14)/y)/(((y**(-15/4)*y)/y)/y)) assuming y is positive.\n' | b'y**(529/20)\n' | b'Simplify (y*y**(11/5)*y**13)/((y**(-14)/y)/(((y**(-15/4)*y)/y)/y)) assuming y is positive.\n' | b'y**(529/20)\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 i when two letters picked without replacement from icnirkf?\n' | b'2/21\n' | b'What is prob of picking 1 n and 1 i when two letters picked without replacement from icnirkf?\n' | b'2/21\n' | deepmind/math_dataset |
b'Let h(g) be the second derivative of -7/30*g**6 + 0*g**2 + 7*g + 4*g**3 + 0*g**5 + 0*g**4 + 0. Find the second derivative of h(k) wrt k.\n' | b'-84*k**2\n' | b'Let h(g) be the second derivative of -7/30*g**6 + 0*g**2 + 7*g + 4*g**3 + 0*g**5 + 0*g**4 + 0. Find the second derivative of h(k) wrt k.\n' | b'-84*k**2\n' | deepmind/math_dataset |
b'Simplify (o/(o/o**(-1/18)*o))**(-4/13)*(o**(5/9)*o)**(-2/115) assuming o is positive.\n' | b'o**(4006/13455)\n' | b'Simplify (o/(o/o**(-1/18)*o))**(-4/13)*(o**(5/9)*o)**(-2/115) assuming o is positive.\n' | b'o**(4006/13455)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mmqknzmmkmzozzmnz. What is prob of sequence qmm?\n' | b'1/136\n' | b'Three letters picked without replacement from mmqknzmmkmzozzmnz. What is prob of sequence qmm?\n' | b'1/136\n' | deepmind/math_dataset |
b'Let q(z) = z**2 + 10*z + 4. Let j be (-16)/(-2) + (-1 - -1). Suppose 7*h = j*h + 10. Let m be q(h). Solve 2*s + 5*g - m + 1 = 0, -5*g = -s - 6 for s.\n' | b'-1\n' | b'Let q(z) = z**2 + 10*z + 4. Let j be (-16)/(-2) + (-1 - -1). Suppose 7*h = j*h + 10. Let m be q(h). Solve 2*s + 5*g - m + 1 = 0, -5*g = -s - 6 for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Let c = 1637/15 - 109. Let n(p) be the third derivative of -1/30*p**5 + c*p**6 + 17*p**2 + 0 + 0*p**3 + 0*p**4 + 0*p. Find the third derivative of n(r) wrt r.\n' | b'96\n' | b'Let c = 1637/15 - 109. Let n(p) be the third derivative of -1/30*p**5 + c*p**6 + 17*p**2 + 0 + 0*p**3 + 0*p**4 + 0*p. Find the third derivative of n(r) wrt r.\n' | b'96\n' | deepmind/math_dataset |
b'Differentiate 43 + 3*w**2 - 169 - 29*w**4 - 112 with respect to w.\n' | b'-116*w**3 + 6*w\n' | b'Differentiate 43 + 3*w**2 - 169 - 29*w**4 - 112 with respect to w.\n' | b'-116*w**3 + 6*w\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, u: 2, a: 4, s: 7}. Give prob of sequence es.\n' | b'1/26\n' | b'Two letters picked without replacement from {e: 1, u: 2, a: 4, s: 7}. Give prob of sequence es.\n' | b'1/26\n' | deepmind/math_dataset |
b'Calculate prob of sequence rdd when three letters picked without replacement from drkaadadkksddrdarkka.\n' | b'1/76\n' | b'Calculate prob of sequence rdd when three letters picked without replacement from drkaadadkksddrdarkka.\n' | b'1/76\n' | deepmind/math_dataset |
b'Let g(w) be the third derivative of 29*w**6/120 + 2*w**5/5 - 43*w**2. What is the third derivative of g(q) wrt q?\n' | b'174\n' | b'Let g(w) be the third derivative of 29*w**6/120 + 2*w**5/5 - 43*w**2. What is the third derivative of g(q) wrt q?\n' | b'174\n' | deepmind/math_dataset |
b'Suppose -b - 2 = 0, 1 = p - 0*p + b. Solve p*h = 5*j - 24, -3*j - 1 = -10 for h.\n' | b'-3\n' | b'Suppose -b - 2 = 0, 1 = p - 0*p + b. Solve p*h = 5*j - 24, -3*j - 1 = -10 for h.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 e when two letters picked without replacement from qqmpe?\n' | b'1/10\n' | b'What is prob of picking 1 p and 1 e when two letters picked without replacement from qqmpe?\n' | b'1/10\n' | deepmind/math_dataset |
b'Let i(b) = 8*b - 35. Let m(h) = 5*h - 23. Let p(r) = 3*i(r) - 4*m(r). What is p(3)?\n' | b'-1\n' | b'Let i(b) = 8*b - 35. Let m(h) = 5*h - 23. Let p(r) = 3*i(r) - 4*m(r). What is p(3)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((u*u/(u**(-2/5)*u))**(-9)/((u*(u*(u/((u**(2/5)*u)/u)*u)/u)/u*u)/u**(-2)))**(-19/4) assuming u is positive.\n' | b'u**(817/10)\n' | b'Simplify ((u*u/(u**(-2/5)*u))**(-9)/((u*(u*(u/((u**(2/5)*u)/u)*u)/u)/u*u)/u**(-2)))**(-19/4) assuming u is positive.\n' | b'u**(817/10)\n' | deepmind/math_dataset |
b'Suppose 0 = -5*n - 13*i + 8*i - 5, 5*i + 20 = 0. Suppose 11*a = n*a + 56. Let g(m) = m. Determine g(a).\n' | b'7\n' | b'Suppose 0 = -5*n - 13*i + 8*i - 5, 5*i + 20 = 0. Suppose 11*a = n*a + 56. Let g(m) = m. Determine g(a).\n' | b'7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, x: 1, j: 6, q: 6, n: 3}. What is prob of picking 1 x and 2 n?\n' | b'3/680\n' | b'Three letters picked without replacement from {i: 1, x: 1, j: 6, q: 6, n: 3}. What is prob of picking 1 x and 2 n?\n' | b'3/680\n' | deepmind/math_dataset |
b'Simplify ((l**(-1/2)*l)**30)**(-29)/((l**(-2/5))**(2/9)*(l*l**(-2/11))/l**5) assuming l is positive.\n' | b'l**(-213211/495)\n' | b'Simplify ((l**(-1/2)*l)**30)**(-29)/((l**(-2/5))**(2/9)*(l*l**(-2/11))/l**5) assuming l is positive.\n' | b'l**(-213211/495)\n' | deepmind/math_dataset |
b'Simplify ((f*f**1/f)**(-7/6)/((f/f**(1/4))/(f**(-9)/f)))**1 assuming f is positive.\n' | b'f**(-143/12)\n' | b'Simplify ((f*f**1/f)**(-7/6)/((f/f**(1/4))/(f**(-9)/f)))**1 assuming f is positive.\n' | b'f**(-143/12)\n' | deepmind/math_dataset |
b'Suppose 2*t - 9 = -2*b - 1, -3*t = 4*b - 14. Solve -3*d + 2*v = b*d, v = -5 for d.\n' | b'-2\n' | b'Suppose 2*t - 9 = -2*b - 1, -3*t = 4*b - 14. Solve -3*d + 2*v = b*d, v = -5 for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((d**(2/9)*d)**5)**(-1/8)/((d**4/(((d*d**(2/23)/d)/d)/d*d))/(d**(-4/11)/(d/(d/d**(-1))))) assuming d is positive.\n' | b'd**(-91819/18216)\n' | b'Simplify ((d**(2/9)*d)**5)**(-1/8)/((d**4/(((d*d**(2/23)/d)/d)/d*d))/(d**(-4/11)/(d/(d/d**(-1))))) assuming d is positive.\n' | b'd**(-91819/18216)\n' | deepmind/math_dataset |
b'Simplify (s*(s/(s/s**(-12))*s)/s)/(s**(-2/3)/s*s)*(s/s**(10/7))/s*s**(-4/3)*s assuming s is positive.\n' | b's**(-254/21)\n' | b'Simplify (s*(s/(s/s**(-12))*s)/s)/(s**(-2/3)/s*s)*(s/s**(10/7))/s*s**(-4/3)*s assuming s is positive.\n' | b's**(-254/21)\n' | deepmind/math_dataset |
b'Simplify v**4*v*v/v**8*(v**2)**33 assuming v is positive.\n' | b'v**64\n' | b'Simplify v**4*v*v/v**8*(v**2)**33 assuming v is positive.\n' | b'v**64\n' | deepmind/math_dataset |
b'Suppose -5*u + 2 = -13. Suppose 3*b - 2*s = 11, -b - 4*s - 2 = -u*b. Suppose -10 = -4*y - y. Solve -10 = b*m - 5*g, y*m + 2*g = 12 + 4 for m.\n' | b'3\n' | b'Suppose -5*u + 2 = -13. Suppose 3*b - 2*s = 11, -b - 4*s - 2 = -u*b. Suppose -10 = -4*y - y. Solve -10 = b*m - 5*g, y*m + 2*g = 12 + 4 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 4, r: 3, o: 6, c: 2}. Give prob of picking 3 o and 1 c.\n' | b'8/273\n' | b'Four letters picked without replacement from {p: 4, r: 3, o: 6, c: 2}. Give prob of picking 3 o and 1 c.\n' | b'8/273\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 p when two letters picked without replacement from erwwprrjejpje?\n' | b'2/39\n' | b'What is prob of picking 1 w and 1 p when two letters picked without replacement from erwwprrjejpje?\n' | b'2/39\n' | deepmind/math_dataset |
b'Suppose -3*s - v - 27 = -72, 0 = -s + 4*v + 2. Suppose -3*h + 2*r = 2, 3*h + 13*r - 2 = s*r. Solve 2*z = 4*w + 2, 2*w + z - 3 = -h for w.\n' | b'0\n' | b'Suppose -3*s - v - 27 = -72, 0 = -s + 4*v + 2. Suppose -3*h + 2*r = 2, 3*h + 13*r - 2 = s*r. Solve 2*z = 4*w + 2, 2*w + z - 3 = -h for w.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jggggjj. Give prob of sequence gjg.\n' | b'6/35\n' | b'Three letters picked without replacement from jggggjj. Give prob of sequence gjg.\n' | b'6/35\n' | deepmind/math_dataset |
b'Suppose -4*p + h = -0*h - 14, 3*p - 3 = -3*h. Let z be 1/3*(2 - 2). Solve x + z*x = -p*k + 10, 3*x = -3*k for k.\n' | b'5\n' | b'Suppose -4*p + h = -0*h - 14, 3*p - 3 = -3*h. Let z be 1/3*(2 - 2). Solve x + z*x = -p*k + 10, 3*x = -3*k for k.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (l/((l*l/(l*l/(l**7*l*l)))/l)*l)**(28/9) assuming l is positive.\n' | b'l**(-56/3)\n' | b'Simplify (l/((l*l/(l*l/(l**7*l*l)))/l)*l)**(28/9) assuming l is positive.\n' | b'l**(-56/3)\n' | deepmind/math_dataset |
b'Let c be ((-13)/2)/((-1)/2). What is the second derivative of 18 + c*h - 11*h**3 - 48*h - 18 wrt h?\n' | b'-66*h\n' | b'Let c be ((-13)/2)/((-1)/2). What is the second derivative of 18 + c*h - 11*h**3 - 48*h - 18 wrt h?\n' | b'-66*h\n' | deepmind/math_dataset |
b'Let z(v) be the third derivative of v**8/56 + v**5/20 + v**2. What is the third derivative of z(m) wrt m?\n' | b'360*m**2\n' | b'Let z(v) be the third derivative of v**8/56 + v**5/20 + v**2. What is the third derivative of z(m) wrt m?\n' | b'360*m**2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from dwffffffdddwdwffd.\n' | b'3/136\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from dwffffffdddwdwffd.\n' | b'3/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 7}. Give prob of picking 3 j.\n' | b'1\n' | b'Three letters picked without replacement from {j: 7}. Give prob of picking 3 j.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (w*w*w**9*w*w**(9/8)/w*w)/((w*(w/(w/(((w*w/w**(5/4)*w)/w)/w*w)))/w)/(w/(w/w**13))) assuming w is positive.\n' | b'w**(203/8)\n' | b'Simplify (w*w*w**9*w*w**(9/8)/w*w)/((w*(w/(w/(((w*w/w**(5/4)*w)/w)/w*w)))/w)/(w/(w/w**13))) assuming w is positive.\n' | b'w**(203/8)\n' | deepmind/math_dataset |
b'Let u(i) = -i**2 + 6*i + 5. Let f be u(6). Let l be (-4)/(-22) - (-8 - (-285)/55). Solve -l*k = 3*j + 15 - 0, -2*j - f*k = 19 for j.\n' | b'-2\n' | b'Let u(i) = -i**2 + 6*i + 5. Let f be u(6). Let l be (-4)/(-22) - (-8 - (-285)/55). Solve -l*k = 3*j + 15 - 0, -2*j - f*k = 19 for j.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 1, t: 1, n: 2, g: 2, a: 2}. Give prob of sequence agt.\n' | b'1/84\n' | b'Three letters picked without replacement from {q: 1, t: 1, n: 2, g: 2, a: 2}. Give prob of sequence agt.\n' | b'1/84\n' | deepmind/math_dataset |
b'Let g(q) be the third derivative of -q**8/840 - q**6/120 + q**3/2 - 3*q**2. Let h(k) be the first derivative of g(k). Find the third derivative of h(p) wrt p.\n' | b'-48*p\n' | b'Let g(q) be the third derivative of -q**8/840 - q**6/120 + q**3/2 - 3*q**2. Let h(k) be the first derivative of g(k). Find the third derivative of h(p) wrt p.\n' | b'-48*p\n' | deepmind/math_dataset |
b'Calculate prob of sequence cw when two letters picked without replacement from cwcccccccwcwcwcwcw.\n' | b'4/17\n' | b'Calculate prob of sequence cw when two letters picked without replacement from cwcccccccwcwcwcwcw.\n' | b'4/17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vhzvgnt. What is prob of picking 1 h, 1 t, and 1 n?\n' | b'1/35\n' | b'Three letters picked without replacement from vhzvgnt. What is prob of picking 1 h, 1 t, and 1 n?\n' | b'1/35\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 3 w when four letters picked without replacement from {m: 15, w: 3}?\n' | b'1/204\n' | b'What is prob of picking 1 m and 3 w when four letters picked without replacement from {m: 15, w: 3}?\n' | b'1/204\n' | deepmind/math_dataset |
b'Let m = -58 + 68. Let y(l) = -2*l - 9 + m + 5. Give y(4).\n' | b'-2\n' | b'Let m = -58 + 68. Let y(l) = -2*l - 9 + m + 5. Give y(4).\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -4*v - y = v - 20, 2*y - 5 = -3*v. Solve -5*s = -4*z - 7, -s + v*s = -z - 7 for z.\n' | b'-3\n' | b'Suppose -4*v - y = v - 20, 2*y - 5 = -3*v. Solve -5*s = -4*z - 7, -s + v*s = -z - 7 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from uvvuvuvuuvvu.\n' | b'5/22\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from uvvuvuvuuvvu.\n' | b'5/22\n' | deepmind/math_dataset |
b'Suppose 4*i + 2*z = -244, -308 = 14*i - 9*i + z. Let l(h) = 3*h**2 + 2*h - 3. Let x be l(-5). Let d = i + x. Solve 5*w + 4*k - 1 = d, -k = -4*w + k + 6 for w.\n' | b'1\n' | b'Suppose 4*i + 2*z = -244, -308 = 14*i - 9*i + z. Let l(h) = 3*h**2 + 2*h - 3. Let x be l(-5). Let d = i + x. Solve 5*w + 4*k - 1 = d, -k = -4*w + k + 6 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(j) = -3*j**3 - 5*j**2 - j + 21. Let s be i(-5). What is the derivative of 11406*x**2 + 13*x**4 - s - 11407*x**2 + 5*x**4 wrt x?\n' | b'72*x**3 - 2*x\n' | b'Let i(j) = -3*j**3 - 5*j**2 - j + 21. Let s be i(-5). What is the derivative of 11406*x**2 + 13*x**4 - s - 11407*x**2 + 5*x**4 wrt x?\n' | b'72*x**3 - 2*x\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s, 1 l, 1 t, and 1 d when four letters picked without replacement from {s: 1, d: 1, b: 1, l: 1, t: 1}.\n' | b'1/5\n' | b'Calculate prob of picking 1 s, 1 l, 1 t, and 1 d when four letters picked without replacement from {s: 1, d: 1, b: 1, l: 1, t: 1}.\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 1 g, and 1 x when three letters picked without replacement from {g: 5, a: 5, x: 1}?\n' | b'5/33\n' | b'What is prob of picking 1 a, 1 g, and 1 x when three letters picked without replacement from {g: 5, a: 5, x: 1}?\n' | b'5/33\n' | deepmind/math_dataset |
b'Simplify ((i*i/i**(-1)*i)**(12/5)*i**3*i*(i*i*(((i/(i/((i**0*i)/i)))/i)/i)/i)/i)/((i/i**(2/3))**(-1/30)/(i*i*i*i**(1/3)/i*i*i)**(1/4)) assuming i is positive.\n' | b'i**(457/36)\n' | b'Simplify ((i*i/i**(-1)*i)**(12/5)*i**3*i*(i*i*(((i/(i/((i**0*i)/i)))/i)/i)/i)/i)/((i/i**(2/3))**(-1/30)/(i*i*i*i**(1/3)/i*i*i)**(1/4)) assuming i is positive.\n' | b'i**(457/36)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 5, w: 6, l: 1, t: 6}. What is prob of sequence lltt?\n' | b'0\n' | b'Four letters picked without replacement from {p: 5, w: 6, l: 1, t: 6}. What is prob of sequence lltt?\n' | b'0\n' | deepmind/math_dataset |
b'Let x(a) be the first derivative of -80*a**7 - 4*a**3/3 - 14*a - 314. Find the third derivative of x(q) wrt q.\n' | b'-67200*q**3\n' | b'Let x(a) be the first derivative of -80*a**7 - 4*a**3/3 - 14*a - 314. Find the third derivative of x(q) wrt q.\n' | b'-67200*q**3\n' | deepmind/math_dataset |
b'Let a(u) = 0 - 2*u**2 - 3*u**3 + 1 - 3*u**3. Let v be a(-1). Find the third derivative of 0*o**3 + v*o**2 + 4*o**3 - o**3 wrt o.\n' | b'18\n' | b'Let a(u) = 0 - 2*u**2 - 3*u**3 + 1 - 3*u**3. Let v be a(-1). Find the third derivative of 0*o**3 + v*o**2 + 4*o**3 - o**3 wrt o.\n' | b'18\n' | deepmind/math_dataset |
b'Let o = -10 - -14. Let p(x) = 208*x**3 + x**2 + 2*x + 2. Let v be p(-1). Let j be (-4)/18 - 2116/v. Solve -3*u - 3*f - j = -o*u, 4*u + 2*f + 16 = 0 for u.\n' | b'-2\n' | b'Let o = -10 - -14. Let p(x) = 208*x**3 + x**2 + 2*x + 2. Let v be p(-1). Let j be (-4)/18 - 2116/v. Solve -3*u - 3*f - j = -o*u, 4*u + 2*f + 16 = 0 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (u**(1/4)*u)**(-14)/((u/(u/(u/((u/(u/(u*u**(2/5))))/u*u))))/u)**(5/13) assuming u is positive.\n' | b'u**(-441/26)\n' | b'Simplify (u**(1/4)*u)**(-14)/((u/(u/(u/((u/(u/(u*u**(2/5))))/u*u))))/u)**(5/13) assuming u is positive.\n' | b'u**(-441/26)\n' | deepmind/math_dataset |
b'Let u be (-1 + 0 - -2) + -1. Let j = 2 + u. Solve -2*z + 6 = -2*a - 3*z, 5*a - j*z = -6 for a.\n' | b'-2\n' | b'Let u be (-1 + 0 - -2) + -1. Let j = 2 + u. Solve -2*z + 6 = -2*a - 3*z, 5*a - j*z = -6 for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence jzjj when four letters picked without replacement from jzzzzzjzzzjzzzjjzj.\n' | b'1/51\n' | b'Calculate prob of sequence jzjj when four letters picked without replacement from jzzzzzjzzzjzzzjjzj.\n' | b'1/51\n' | deepmind/math_dataset |
b'Four letters picked without replacement from mamlwlluaumuaap. What is prob of picking 1 u, 2 a, and 1 w?\n' | b'6/455\n' | b'Four letters picked without replacement from mamlwlluaumuaap. What is prob of picking 1 u, 2 a, and 1 w?\n' | b'6/455\n' | deepmind/math_dataset |
b'Suppose 4*p + 38 = 5*b - 113, 0 = -b - 15*p + 46. Solve y + 5*n - 1 = 0, y - 36*n + 9 = -b*n for y.\n' | b'-4\n' | b'Suppose 4*p + 38 = 5*b - 113, 0 = -b - 15*p + 46. Solve y + 5*n - 1 = 0, y - 36*n + 9 = -b*n for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (m*m*m**(-12)/m)**(-2)/(m/m**(1/19)*(m*m**18*m*m)/m) assuming m is positive.\n' | b'm**(20/19)\n' | b'Simplify (m*m*m**(-12)/m)**(-2)/(m/m**(1/19)*(m*m**18*m*m)/m) assuming m is positive.\n' | b'm**(20/19)\n' | deepmind/math_dataset |
b'What is prob of sequence wdd when three letters picked without replacement from {d: 2, w: 1, k: 1, t: 3}?\n' | b'1/105\n' | b'What is prob of sequence wdd when three letters picked without replacement from {d: 2, w: 1, k: 1, t: 3}?\n' | b'1/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ccccccnnnnnnn. What is prob of sequence nncc?\n' | b'21/286\n' | b'Four letters picked without replacement from ccccccnnnnnnn. What is prob of sequence nncc?\n' | b'21/286\n' | deepmind/math_dataset |
b'Let k(x) be the second derivative of -23*x**5/20 + 19*x**3/3 + 2*x - 10. What is the second derivative of k(f) wrt f?\n' | b'-138*f\n' | b'Let k(x) be the second derivative of -23*x**5/20 + 19*x**3/3 + 2*x - 10. What is the second derivative of k(f) wrt f?\n' | b'-138*f\n' | deepmind/math_dataset |
b'Let f(o) be the second derivative of o**3/6 + o**2 + 5*o. Let s = 23 + -29. Calculate f(s).\n' | b'-4\n' | b'Let f(o) be the second derivative of o**3/6 + o**2 + 5*o. Let s = 23 + -29. Calculate f(s).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 310 = 7*g - 2*g. Let w be 42/98 - g/14. Let u(b) = b - 1. Determine u(w).\n' | b'-5\n' | b'Suppose 310 = 7*g - 2*g. Let w be 42/98 - g/14. Let u(b) = b - 1. Determine u(w).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 i when two letters picked without replacement from xukxkxpxkpxxix?\n' | b'2/91\n' | b'What is prob of picking 1 p and 1 i when two letters picked without replacement from xukxkxpxkpxxix?\n' | b'2/91\n' | deepmind/math_dataset |
b'What is prob of picking 1 d and 1 q when two letters picked without replacement from {b: 9, d: 6, q: 4}?\n' | b'8/57\n' | b'What is prob of picking 1 d and 1 q when two letters picked without replacement from {b: 9, d: 6, q: 4}?\n' | b'8/57\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j, 1 n, and 1 t when four letters picked without replacement from njxjjtn.\n' | b'6/35\n' | b'Calculate prob of picking 2 j, 1 n, and 1 t when four letters picked without replacement from njxjjtn.\n' | b'6/35\n' | deepmind/math_dataset |
b'What is prob of sequence cddd when four letters picked without replacement from {d: 2, c: 4, u: 1, e: 1}?\n' | b'0\n' | b'What is prob of sequence cddd when four letters picked without replacement from {d: 2, c: 4, u: 1, e: 1}?\n' | b'0\n' | deepmind/math_dataset |
b'Let n(d) be the second derivative of -d**7/42 - 2*d**6 + d**4/4 - 11*d**2/2 - 9*d - 10. Find the third derivative of n(p) wrt p.\n' | b'-60*p**2 - 1440*p\n' | b'Let n(d) be the second derivative of -d**7/42 - 2*d**6 + d**4/4 - 11*d**2/2 - 9*d - 10. Find the third derivative of n(p) wrt p.\n' | b'-60*p**2 - 1440*p\n' | deepmind/math_dataset |
b'Suppose 0*d - d = -3. Solve 0 = 4*j + 20, d*j = 3*i - 2*j - 19 for i.\n' | b'-2\n' | b'Suppose 0*d - d = -3. Solve 0 = 4*j + 20, d*j = 3*i - 2*j - 19 for i.\n' | b'-2\n' | deepmind/math_dataset |
b'Find the third derivative of 6 - 328*g**3 - 6 + 5*g**4 - 1595*g**3 - 4*g**4 + 2242*g**2 wrt g.\n' | b'24*g - 11538\n' | b'Find the third derivative of 6 - 328*g**3 - 6 + 5*g**4 - 1595*g**3 - 4*g**4 + 2242*g**2 wrt g.\n' | b'24*g - 11538\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oookooko. Give prob of sequence oko.\n' | b'5/28\n' | b'Three letters picked without replacement from oookooko. Give prob of sequence oko.\n' | b'5/28\n' | deepmind/math_dataset |
b'Let g(a) be the third derivative of 0*a + 1/20*a**5 + 0 + 63*a**2 - 1/3*a**3 + 1/24*a**4. Give g(2).\n' | b'12\n' | b'Let g(a) be the third derivative of 0*a + 1/20*a**5 + 0 + 63*a**2 - 1/3*a**3 + 1/24*a**4. Give g(2).\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of sequence mz when two letters picked without replacement from {d: 1, s: 1, m: 3, c: 5, z: 5}?\n' | b'1/14\n' | b'What is prob of sequence mz when two letters picked without replacement from {d: 1, s: 1, m: 3, c: 5, z: 5}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Simplify ((f/f**(5/2))/(f/((f/f**2)/f)))**(-5/2) assuming f is positive.\n' | b'f**(45/4)\n' | b'Simplify ((f/f**(5/2))/(f/((f/f**2)/f)))**(-5/2) assuming f is positive.\n' | b'f**(45/4)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from djqqoqqdoqqvo. Give prob of picking 1 d, 1 v, and 1 j.\n' | b'1/143\n' | b'Three letters picked without replacement from djqqoqqdoqqvo. Give prob of picking 1 d, 1 v, and 1 j.\n' | b'1/143\n' | deepmind/math_dataset |
b'Find the third derivative of -1874*w**2 - 2*w**3 - 59*w**4 + 3 + 1 + 1865*w**2 wrt w.\n' | b'-1416*w - 12\n' | b'Find the third derivative of -1874*w**2 - 2*w**3 - 59*w**4 + 3 + 1 + 1865*w**2 wrt w.\n' | b'-1416*w - 12\n' | deepmind/math_dataset |
b'Suppose 621 + 339 = 20*r. Differentiate -69 - 15 - 84 + 125*l - r with respect to l.\n' | b'125\n' | b'Suppose 621 + 339 = 20*r. Differentiate -69 - 15 - 84 + 125*l - r with respect to l.\n' | b'125\n' | deepmind/math_dataset |
b'Suppose 0 = j - 2 + 6, -9 = -5*i + j. Suppose x - 4 = -5*g + i, x = -4*g + 5. What is the first derivative of -6 + 3*f + x - 1 - 8*f wrt f?\n' | b'-5\n' | b'Suppose 0 = j - 2 + 6, -9 = -5*i + j. Suppose x - 4 = -5*g + i, x = -4*g + 5. What is the first derivative of -6 + 3*f + x - 1 - 8*f wrt f?\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 b and 1 k when three letters picked without replacement from rebrrbrekeg.\n' | b'1/165\n' | b'Calculate prob of picking 2 b and 1 k when three letters picked without replacement from rebrrbrekeg.\n' | b'1/165\n' | deepmind/math_dataset |
b'Suppose 0*q - q = 0. Let t = 33 + -28. Suppose 2*h - t*n + 12 = q, 0 = -h - 3*h + 3*n - 10. Let o(r) = 9*r - 1. What is o(h)?\n' | b'-10\n' | b'Suppose 0*q - q = 0. Let t = 33 + -28. Suppose 2*h - t*n + 12 = q, 0 = -h - 3*h + 3*n - 10. Let o(r) = 9*r - 1. What is o(h)?\n' | b'-10\n' | deepmind/math_dataset |
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