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 l(y) = y**3 - 5*y**2 + 2*y - 6. Suppose a - 3*a - 14 = 0. Let h be (-4)/14 - 2/a. Suppose h = 3*r - 6 - 9. What is l(r)?\n' | b'4\n' | b'Let l(y) = y**3 - 5*y**2 + 2*y - 6. Suppose a - 3*a - 14 = 0. Let h be (-4)/14 - 2/a. Suppose h = 3*r - 6 - 9. What is l(r)?\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence tt when two letters picked without replacement from ktoktwppkqto.\n' | b'1/22\n' | b'Calculate prob of sequence tt when two letters picked without replacement from ktoktwppkqto.\n' | b'1/22\n' | deepmind/math_dataset |
b'Let n(r) be the first derivative of -3*r**2/2 - 48*r + 3588. Determine n(-7).\n' | b'-27\n' | b'Let n(r) be the first derivative of -3*r**2/2 - 48*r + 3588. Determine n(-7).\n' | b'-27\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hafhafdhdfdfaafaaf. What is prob of picking 2 a?\n' | b'5/51\n' | b'Two letters picked without replacement from hafhafdhdfdfaafaaf. What is prob of picking 2 a?\n' | b'5/51\n' | deepmind/math_dataset |
b'Let c(v) = -20*v**3 - 5*v**2 - 9. Let n(o) = 30*o**3 + 8*o**2 + 14. Let g(d) = 8*c(d) + 5*n(d). Find the first derivative of g(t) wrt t.\n' | b'-30*t**2\n' | b'Let c(v) = -20*v**3 - 5*v**2 - 9. Let n(o) = 30*o**3 + 8*o**2 + 14. Let g(d) = 8*c(d) + 5*n(d). Find the first derivative of g(t) wrt t.\n' | b'-30*t**2\n' | deepmind/math_dataset |
b'Let s(t) be the second derivative of 1/20*t**5 - 1/3*t**3 + 0 + t + t**2 - 1/4*t**4. Let u be 14/4 + 3/(-2). Determine s(u).\n' | b'-6\n' | b'Let s(t) be the second derivative of 1/20*t**5 - 1/3*t**3 + 0 + t + t**2 - 1/4*t**4. Let u be 14/4 + 3/(-2). Determine s(u).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 65*g - 53*g = 24. Solve -4*s = 4*i - 12, -4*s + 8 = g*i - 2 for i.\n' | b'1\n' | b'Suppose 65*g - 53*g = 24. Solve -4*s = 4*i - 12, -4*s + 8 = g*i - 2 for i.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 j when two letters picked without replacement from {t: 7, j: 2}.\n' | b'1/36\n' | b'Calculate prob of picking 2 j when two letters picked without replacement from {t: 7, j: 2}.\n' | b'1/36\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, q: 1, x: 1, c: 1, f: 2, s: 2}. Give prob of sequence cxff.\n' | b'1/840\n' | b'Four letters picked without replacement from {r: 1, q: 1, x: 1, c: 1, f: 2, s: 2}. Give prob of sequence cxff.\n' | b'1/840\n' | deepmind/math_dataset |
b'Simplify (j**1*j*j*j*j**(2/3))/(j**(-1))**24 assuming j is positive.\n' | b'j**(86/3)\n' | b'Simplify (j**1*j*j*j*j**(2/3))/(j**(-1))**24 assuming j is positive.\n' | b'j**(86/3)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 5}. Give prob of picking 3 u.\n' | b'1\n' | b'Three letters picked without replacement from {u: 5}. Give prob of picking 3 u.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qpowwqqqwqpqppppw. What is prob of sequence opp?\n' | b'1/136\n' | b'Three letters picked without replacement from qpowwqqqwqpqppppw. What is prob of sequence opp?\n' | b'1/136\n' | deepmind/math_dataset |
b'Let t(u) be the first derivative of 89/3*u**3 + 0*u**2 + 0*u + 0*u**5 + 45/7*u**7 + 0*u**6 + 0*u**4 + 94. Find the third derivative of t(b) wrt b.\n' | b'5400*b**3\n' | b'Let t(u) be the first derivative of 89/3*u**3 + 0*u**2 + 0*u + 0*u**5 + 45/7*u**7 + 0*u**6 + 0*u**4 + 94. Find the third derivative of t(b) wrt b.\n' | b'5400*b**3\n' | deepmind/math_dataset |
b'Simplify ((u**(-1/26)/u*u**(-8))/(u**6)**41)**(-6/13) assuming u is positive.\n' | b'u**(19893/169)\n' | b'Simplify ((u**(-1/26)/u*u**(-8))/(u**6)**41)**(-6/13) assuming u is positive.\n' | b'u**(19893/169)\n' | deepmind/math_dataset |
b'Simplify (r**11/(r*r**(6/5)))/(r*r*r**(1/7))**(-1/3) assuming r is positive.\n' | b'r**(333/35)\n' | b'Simplify (r**11/(r*r**(6/5)))/(r*r*r**(1/7))**(-1/3) assuming r is positive.\n' | b'r**(333/35)\n' | deepmind/math_dataset |
b'Suppose -15 = -8*u - 7. Solve 0 = l + 5*n + 21, -l = -2*n + u - 8 for l.\n' | b'-1\n' | b'Suppose -15 = -8*u - 7. Solve 0 = l + 5*n + 21, -l = -2*n + u - 8 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m(o) = -31 - 23 + 58 + 5*o + o**2. Calculate m(-3).\n' | b'-2\n' | b'Let m(o) = -31 - 23 + 58 + 5*o + o**2. Calculate m(-3).\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (p**2/p)**34/(p**0)**(28/9) assuming p is positive.\n' | b'p**34\n' | b'Simplify (p**2/p)**34/(p**0)**(28/9) assuming p is positive.\n' | b'p**34\n' | deepmind/math_dataset |
b'Let j(s) = 2*s + 1. Let k be (-40)/(-15) + (-2)/3. Let x be j(k). Solve 0 = 4*v - 3*q + 16, x*v + 4*q - 12 = -1 for v.\n' | b'-1\n' | b'Let j(s) = 2*s + 1. Let k be (-40)/(-15) + (-2)/3. Let x be j(k). Solve 0 = 4*v - 3*q + 16, x*v + 4*q - 12 = -1 for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence py when two letters picked without replacement from ynnnnnnnpnnnnnppn.\n' | b'3/272\n' | b'Calculate prob of sequence py when two letters picked without replacement from ynnnnnnnpnnnnnppn.\n' | b'3/272\n' | deepmind/math_dataset |
b'Suppose -3*k + h - 3563 = -8*k, k = -4*h + 705. Let f(w) = -713*w + k*w - 2 + w**2. Let r(a) = -a + 3. Let s be r(0). What is f(s)?\n' | b'7\n' | b'Suppose -3*k + h - 3563 = -8*k, k = -4*h + 705. Let f(w) = -713*w + k*w - 2 + w**2. Let r(a) = -a + 3. Let s be r(0). What is f(s)?\n' | b'7\n' | deepmind/math_dataset |
b'Suppose -3*k - 3 = -4*u, -u + 6 = -4*u + 5*k. Suppose m - 2 = 2*m, u*l + 10 = m. Let x(j) = -j**2 + 1. Determine x(l).\n' | b'-15\n' | b'Suppose -3*k - 3 = -4*u, -u + 6 = -4*u + 5*k. Suppose m - 2 = 2*m, u*l + 10 = m. Let x(j) = -j**2 + 1. Determine x(l).\n' | b'-15\n' | deepmind/math_dataset |
b'Find the third derivative of -25*n**2 - 43*n**4 - 6*n**2 + 27*n**4 wrt n.\n' | b'-384*n\n' | b'Find the third derivative of -25*n**2 - 43*n**4 - 6*n**2 + 27*n**4 wrt n.\n' | b'-384*n\n' | deepmind/math_dataset |
b'Let t(x) = -5*x**2 - 12*x + 3. Let p(i) = 14*i**2 + 35*i - 9. Suppose -3*o = 2*b - 28, -b + 2*b + 19 = 4*o. Let z(l) = o*p(l) + 17*t(l). What is z(6)?\n' | b'-3\n' | b'Let t(x) = -5*x**2 - 12*x + 3. Let p(i) = 14*i**2 + 35*i - 9. Suppose -3*o = 2*b - 28, -b + 2*b + 19 = 4*o. Let z(l) = o*p(l) + 17*t(l). What is z(6)?\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (o**1/o*o)**(2/29)*(o*o**(2/3))**20 assuming o is positive.\n' | b'o**(2906/87)\n' | b'Simplify (o**1/o*o)**(2/29)*(o*o**(2/3))**20 assuming o is positive.\n' | b'o**(2906/87)\n' | deepmind/math_dataset |
b'Let n(w) = 3*w**2 - 2*w - 1. Let q(v) = 7*v**2 - 5*v - 2. Let h(m) = 5*n(m) - 2*q(m). Suppose 1869*x - 1885*x + 16 = 0. Determine h(x).\n' | b'0\n' | b'Let n(w) = 3*w**2 - 2*w - 1. Let q(v) = 7*v**2 - 5*v - 2. Let h(m) = 5*n(m) - 2*q(m). Suppose 1869*x - 1885*x + 16 = 0. Determine h(x).\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -64*d = 95*d - 954. Solve -2*m + 2*u = -d, -5*m - 6 = 2*u + 7 for m.\n' | b'-1\n' | b'Suppose -64*d = 95*d - 954. Solve -2*m + 2*u = -d, -5*m - 6 = 2*u + 7 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((a**2)**(-4/7))**(-2/9)/((a**7*a/(a**5/a))/(((a*a**7)/a)/((a*(a**4/a)/a)/a))) assuming a is positive.\n' | b'a**(79/63)\n' | b'Simplify ((a**2)**(-4/7))**(-2/9)/((a**7*a/(a**5/a))/(((a*a**7)/a)/((a*(a**4/a)/a)/a))) assuming a is positive.\n' | b'a**(79/63)\n' | deepmind/math_dataset |
b'Let v be (2/6)/((-5)/(-30)). Solve 4*t - v*t - 16 = 5*k, 8 = -2*k for t.\n' | b'-2\n' | b'Let v be (2/6)/((-5)/(-30)). Solve 4*t - v*t - 16 = 5*k, 8 = -2*k for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 t when two letters picked without replacement from {t: 1, m: 2}.\n' | b'0\n' | b'Calculate prob of picking 2 t when two letters picked without replacement from {t: 1, m: 2}.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (y/(y*y**(-3)))**(4/9) assuming y is positive.\n' | b'y**(4/3)\n' | b'Simplify (y/(y*y**(-3)))**(4/9) assuming y is positive.\n' | b'y**(4/3)\n' | deepmind/math_dataset |
b'Simplify o/(o/o**17)*(o*o**(-4/7)*o)/o*o**(-1/2)*o**(3/8) assuming o is positive.\n' | b'o**(969/56)\n' | b'Simplify o/(o/o**17)*(o*o**(-4/7)*o)/o*o**(-1/2)*o**(3/8) assuming o is positive.\n' | b'o**(969/56)\n' | deepmind/math_dataset |
b'Calculate prob of sequence rvv when three letters picked without replacement from {v: 9, r: 10}.\n' | b'40/323\n' | b'Calculate prob of sequence rvv when three letters picked without replacement from {v: 9, r: 10}.\n' | b'40/323\n' | deepmind/math_dataset |
b'Simplify w**(-3/8)/(w**(-18)/w) assuming w is positive.\n' | b'w**(149/8)\n' | b'Simplify w**(-3/8)/(w**(-18)/w) assuming w is positive.\n' | b'w**(149/8)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjgjevv. What is prob of sequence ejvv?\n' | b'1/140\n' | b'Four letters picked without replacement from jjgjevv. What is prob of sequence ejvv?\n' | b'1/140\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 5, x: 13}. Give prob of sequence zxzz.\n' | b'13/1224\n' | b'Four letters picked without replacement from {z: 5, x: 13}. Give prob of sequence zxzz.\n' | b'13/1224\n' | deepmind/math_dataset |
b'Calculate prob of sequence oo when two letters picked without replacement from {o: 3}.\n' | b'1\n' | b'Calculate prob of sequence oo when two letters picked without replacement from {o: 3}.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((p/((p*p/p**(1/32))/p))**37)**(-15/8) assuming p is positive.\n' | b'p**(-555/256)\n' | b'Simplify ((p/((p*p/p**(1/32))/p))**37)**(-15/8) assuming p is positive.\n' | b'p**(-555/256)\n' | deepmind/math_dataset |
b'Let j be 2 + -4 - (2 + 0). Let v be 6/j*(-7 - -9). Let b = v - -6. Solve -4*i - 4 = -k, b*i + 20 - 4 = 4*k for k.\n' | b'4\n' | b'Let j be 2 + -4 - (2 + 0). Let v be 6/j*(-7 - -9). Let b = v - -6. Solve -4*i - 4 = -k, b*i + 20 - 4 = 4*k for k.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 2 m when three letters picked without replacement from mkkmcmcmmckcckmckkk?\n' | b'30/323\n' | b'What is prob of picking 1 c and 2 m when three letters picked without replacement from mkkmcmcmmckcckmckkk?\n' | b'30/323\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 2, a: 1, t: 2}. Give prob of sequence tla.\n' | b'1/15\n' | b'Three letters picked without replacement from {l: 2, a: 1, t: 2}. Give prob of sequence tla.\n' | b'1/15\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 6, d: 2, o: 9}. What is prob of sequence doaa?\n' | b'9/952\n' | b'Four letters picked without replacement from {a: 6, d: 2, o: 9}. What is prob of sequence doaa?\n' | b'9/952\n' | deepmind/math_dataset |
b'Three letters picked without replacement from fxxxfxxfoxxofxxxxoxx. What is prob of sequence ffx?\n' | b'13/570\n' | b'Three letters picked without replacement from fxxxfxxfoxxofxxxxoxx. What is prob of sequence ffx?\n' | b'13/570\n' | deepmind/math_dataset |
b'Let o(h) be the second derivative of -5*h**7/6 - 7*h**6/15 - 35*h**4/12 + 11*h**2/2 - 19*h + 12. What is the third derivative of o(l) wrt l?\n' | b'-2100*l**2 - 336*l\n' | b'Let o(h) be the second derivative of -5*h**7/6 - 7*h**6/15 - 35*h**4/12 + 11*h**2/2 - 19*h + 12. What is the third derivative of o(l) wrt l?\n' | b'-2100*l**2 - 336*l\n' | deepmind/math_dataset |
b'Simplify (f**(-13/6)*f)**(-5/7)*(f/(((f/(((f/(f**(-1/3)/f))/f)/f))/f*f)/f*f))/(f/f**(-23)*f*f) assuming f is positive.\n' | b'f**(-149/6)\n' | b'Simplify (f**(-13/6)*f)**(-5/7)*(f/(((f/(((f/(f**(-1/3)/f))/f)/f))/f*f)/f*f))/(f/f**(-23)*f*f) assuming f is positive.\n' | b'f**(-149/6)\n' | deepmind/math_dataset |
b'Let b = -37 + 41. Find the third derivative of -20*w**4 + 39*w**4 - 38*w**2 - 23*w**b wrt w.\n' | b'-96*w\n' | b'Let b = -37 + 41. Find the third derivative of -20*w**4 + 39*w**4 - 38*w**2 - 23*w**b wrt w.\n' | b'-96*w\n' | deepmind/math_dataset |
b'Let q be (2 + 20/(-8))*0. Let i(d) = -d**3 + 6*d**2 + 7*d - 12. Let x(l) = -l**3 + 7*l**2 + 8*l - 13. Let b(r) = 7*i(r) - 6*x(r). What is b(q)?\n' | b'-6\n' | b'Let q be (2 + 20/(-8))*0. Let i(d) = -d**3 + 6*d**2 + 7*d - 12. Let x(l) = -l**3 + 7*l**2 + 8*l - 13. Let b(r) = 7*i(r) - 6*x(r). What is b(q)?\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 3 v when four letters picked without replacement from {p: 5, v: 7, n: 2}.\n' | b'25/143\n' | b'Calculate prob of picking 1 p and 3 v when four letters picked without replacement from {p: 5, v: 7, n: 2}.\n' | b'25/143\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 2, a: 1, j: 1, v: 2, p: 2, o: 1}. What is prob of sequence jr?\n' | b'1/36\n' | b'Two letters picked without replacement from {r: 2, a: 1, j: 1, v: 2, p: 2, o: 1}. What is prob of sequence jr?\n' | b'1/36\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uuppppuupupppp. What is prob of sequence pu?\n' | b'45/182\n' | b'Two letters picked without replacement from uuppppuupupppp. What is prob of sequence pu?\n' | b'45/182\n' | deepmind/math_dataset |
b'Simplify (g**(-14))**(-1/3) assuming g is positive.\n' | b'g**(14/3)\n' | b'Simplify (g**(-14))**(-1/3) assuming g is positive.\n' | b'g**(14/3)\n' | deepmind/math_dataset |
b'What is prob of sequence ppjp when four letters picked without replacement from jnnjjnnnjpnpp?\n' | b'1/715\n' | b'What is prob of sequence ppjp when four letters picked without replacement from jnnjjnnnjpnpp?\n' | b'1/715\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oovovo. Give prob of sequence ov.\n' | b'4/15\n' | b'Two letters picked without replacement from oovovo. Give prob of sequence ov.\n' | b'4/15\n' | deepmind/math_dataset |
b'What is prob of picking 2 k and 1 h when three letters picked without replacement from kllkmmlhkhhkkmkmllk?\n' | b'21/323\n' | b'What is prob of picking 2 k and 1 h when three letters picked without replacement from kllkmmlhkhhkkmkmllk?\n' | b'21/323\n' | deepmind/math_dataset |
b'Simplify ((s*s**8/s*s)/s)**(-28)/(s/(s*s**4))**(-2/21) assuming s is positive.\n' | b's**(-4712/21)\n' | b'Simplify ((s*s**8/s*s)/s)**(-28)/(s/(s*s**4))**(-2/21) assuming s is positive.\n' | b's**(-4712/21)\n' | deepmind/math_dataset |
b'What is prob of sequence gh when two letters picked without replacement from gvhozssgszghhszssh?\n' | b'2/51\n' | b'What is prob of sequence gh when two letters picked without replacement from gvhozssgszghhszssh?\n' | b'2/51\n' | deepmind/math_dataset |
b'Let w(n) = n**2 + 7*n + 3. Let j be (-5)/15*-12 + (-2 - 2). Suppose 13 = -3*i + i - b, -3*b - 9 = j. Determine w(i).\n' | b'-7\n' | b'Let w(n) = n**2 + 7*n + 3. Let j be (-5)/15*-12 + (-2 - 2). Suppose 13 = -3*i + i - b, -3*b - 9 = j. Determine w(i).\n' | b'-7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, y: 2, l: 2, m: 3, c: 11}. What is prob of sequence lel?\n' | b'1/2907\n' | b'Three letters picked without replacement from {e: 1, y: 2, l: 2, m: 3, c: 11}. What is prob of sequence lel?\n' | b'1/2907\n' | deepmind/math_dataset |
b'Let j be ((-4)/2)/(12/(-24)). Solve 0*a - b - 13 = -2*a, -5*a + 13 = j*b for a.\n' | b'5\n' | b'Let j be ((-4)/2)/(12/(-24)). Solve 0*a - b - 13 = -2*a, -5*a + 13 = j*b for a.\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -t - 4*f + 2*f - 8 = 0, 5*t - 8 = 2*f. Solve -5*v - 4*d - 4 + 3 = t, d + 7 = v for v.\n' | b'3\n' | b'Suppose -t - 4*f + 2*f - 8 = 0, 5*t - 8 = 2*f. Solve -5*v - 4*d - 4 + 3 = t, d + 7 = v for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(f) be the third derivative of -11*f**6/60 + 11*f**5/30 + 36*f**2. What is the third derivative of x(a) wrt a?\n' | b'-132\n' | b'Let x(f) be the third derivative of -11*f**6/60 + 11*f**5/30 + 36*f**2. What is the third derivative of x(a) wrt a?\n' | b'-132\n' | deepmind/math_dataset |
b'Let b(c) = c**2 + 5*c + 7. Let l be b(-6). Suppose -4*o = n - 0*o - 1, 5*o + 20 = 3*n. Solve -4*p - n*t + 2*t = -l, 0 = -5*t - 5 for p.\n' | b'4\n' | b'Let b(c) = c**2 + 5*c + 7. Let l be b(-6). Suppose -4*o = n - 0*o - 1, 5*o + 20 = 3*n. Solve -4*p - n*t + 2*t = -l, 0 = -5*t - 5 for p.\n' | b'4\n' | deepmind/math_dataset |
b'Let m be 21*(-5)/(-60)*4. Let y(h) = -h**2 + 10*h + m*h - 16*h. Calculate y(2).\n' | b'-2\n' | b'Let m be 21*(-5)/(-60)*4. Let y(h) = -h**2 + 10*h + m*h - 16*h. Calculate y(2).\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(h) = 3*h**3 + h**2 - 1. Let l be (-33)/(-77) + 4/7. Let a be g(l). Solve 2*d - a = 5*d - k, 4*d + 4*k - 12 = 0 for d.\n' | b'0\n' | b'Let g(h) = 3*h**3 + h**2 - 1. Let l be (-33)/(-77) + 4/7. Let a be g(l). Solve 2*d - a = 5*d - k, 4*d + 4*k - 12 = 0 for d.\n' | b'0\n' | deepmind/math_dataset |
b'Let g(s) = -198*s - 17. Let o(j) = -196*j - 18. Let t(l) = -7*g(l) + 6*o(l). Differentiate t(c) wrt c.\n' | b'210\n' | b'Let g(s) = -198*s - 17. Let o(j) = -196*j - 18. Let t(l) = -7*g(l) + 6*o(l). Differentiate t(c) wrt c.\n' | b'210\n' | deepmind/math_dataset |
b'Let c be 1/(10/(-4) - -3). What is the third derivative of -z**2 + 2*z**c + 0*z**2 - z**3 - 5*z**2 wrt z?\n' | b'-6\n' | b'Let c be 1/(10/(-4) - -3). What is the third derivative of -z**2 + 2*z**c + 0*z**2 - z**3 - 5*z**2 wrt z?\n' | b'-6\n' | deepmind/math_dataset |
b'Let u = -19474 - -19481. Solve -5*a + m = 27, -3*m + 3 = 2*a + u for a.\n' | b'-5\n' | b'Let u = -19474 - -19481. Solve -5*a + m = 27, -3*m + 3 = 2*a + u for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((o/o**(-7))/o**(-2/17))**(-14) assuming o is positive.\n' | b'o**(-1932/17)\n' | b'Simplify ((o/o**(-7))/o**(-2/17))**(-14) assuming o is positive.\n' | b'o**(-1932/17)\n' | deepmind/math_dataset |
b'Let r(n) = -2*n - 9. Let p be (36/30)/(2/(-10)). Let v be r(p). Solve 5*j = -4*s - 2, -3*s + j = v + 8 for s.\n' | b'-3\n' | b'Let r(n) = -2*n - 9. Let p be (36/30)/(2/(-10)). Let v be r(p). Solve 5*j = -4*s - 2, -3*s + j = v + 8 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence waat when four letters picked without replacement from wwgwgawtgatwt.\n' | b'1/572\n' | b'Calculate prob of sequence waat when four letters picked without replacement from wwgwgawtgatwt.\n' | b'1/572\n' | deepmind/math_dataset |
b'Let f = -5050 + 5056. Solve 0 = g - 3*h - 8, -g + f*g + h - 8 = 0 for g.\n' | b'2\n' | b'Let f = -5050 + 5056. Solve 0 = g - 3*h - 8, -g + f*g + h - 8 = 0 for g.\n' | b'2\n' | deepmind/math_dataset |
b'Let p = -811 - -830. Solve -r + 16 = -4*i + p, -15 = 2*i + 5*r for i.\n' | b'0\n' | b'Let p = -811 - -830. Solve -r + 16 = -4*i + p, -15 = 2*i + 5*r for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let m(c) = -443*c**2 - 339*c + 7. Let i(g) = 443*g**2 + 341*g - 6. Let v(a) = -5*i(a) - 4*m(a). Find the second derivative of v(f) wrt f.\n' | b'-886\n' | b'Let m(c) = -443*c**2 - 339*c + 7. Let i(g) = 443*g**2 + 341*g - 6. Let v(a) = -5*i(a) - 4*m(a). Find the second derivative of v(f) wrt f.\n' | b'-886\n' | deepmind/math_dataset |
b'Let k(t) = 12*t - 21. Let p = -505 + 505. Give k(p).\n' | b'-21\n' | b'Let k(t) = 12*t - 21. Let p = -505 + 505. Give k(p).\n' | b'-21\n' | deepmind/math_dataset |
b'What is prob of sequence tttt when four letters picked without replacement from tttt?\n' | b'1\n' | b'What is prob of sequence tttt when four letters picked without replacement from tttt?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 3, i: 2, f: 3, l: 5}. Give prob of sequence ls.\n' | b'5/52\n' | b'Two letters picked without replacement from {s: 3, i: 2, f: 3, l: 5}. Give prob of sequence ls.\n' | b'5/52\n' | deepmind/math_dataset |
b'Calculate prob of sequence vvn when three letters picked without replacement from vnnnvn.\n' | b'1/15\n' | b'Calculate prob of sequence vvn when three letters picked without replacement from vnnnvn.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify ((b*b**(-7)*b**(-1/11))/(b**(2/7)/b*b*b**(-2/3)))**14 assuming b is positive.\n' | b'b**(-2638/33)\n' | b'Simplify ((b*b**(-7)*b**(-1/11))/(b**(2/7)/b*b*b**(-2/3)))**14 assuming b is positive.\n' | b'b**(-2638/33)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jllwelnbwnjl. What is prob of sequence ww?\n' | b'1/66\n' | b'Two letters picked without replacement from jllwelnbwnjl. What is prob of sequence ww?\n' | b'1/66\n' | deepmind/math_dataset |
b'Simplify (v**(-1/2)*v)**(2/15)*(v/(v**(3/8)*v))/(v/v**(-3/5)) assuming v is positive.\n' | b'v**(-229/120)\n' | b'Simplify (v**(-1/2)*v)**(2/15)*(v/(v**(3/8)*v))/(v/v**(-3/5)) assuming v is positive.\n' | b'v**(-229/120)\n' | deepmind/math_dataset |
b'Let g = 7 + -2. Suppose -13*d - 67 = -15. Let j be 0/(-12 - -7 - d). Solve 5*r - r + 12 = j, 11 = 2*t - g*r for t.\n' | b'-2\n' | b'Let g = 7 + -2. Suppose -13*d - 67 = -15. Let j be 0/(-12 - -7 - d). Solve 5*r - r + 12 = j, 11 = 2*t - g*r for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let v be (-5)/2*12/(-10). Let s = -2 - -4. Suppose 0*d + a = 3*d - 12, -5*d + a = -20. Solve d*o - 4*l = 22 + s, v*o - 4*l = 23 for o.\n' | b'1\n' | b'Let v be (-5)/2*12/(-10). Let s = -2 - -4. Suppose 0*d + a = 3*d - 12, -5*d + a = -20. Solve d*o - 4*l = 22 + s, v*o - 4*l = 23 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify k/(k**(4/3)*k)*k*k**(-2/15) assuming k is positive.\n' | b'k**(-7/15)\n' | b'Simplify k/(k**(4/3)*k)*k*k**(-2/15) assuming k is positive.\n' | b'k**(-7/15)\n' | deepmind/math_dataset |
b'Suppose -5*q = -4*j + 108, 0 = -15*j + 17*j - 3*q - 58. Solve 2*i + 35 = 5*k, -j*k + 15*k + 20 = -2*i for i.\n' | b'-5\n' | b'Suppose -5*q = -4*j + 108, 0 = -15*j + 17*j - 3*q - 58. Solve 2*i + 35 = 5*k, -j*k + 15*k + 20 = -2*i for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -5*g + 5 = 5*w, -w + 5 = w - g. Solve l = -w*u - 2*l - 7, 14 = -3*u - l for u.\n' | b'-5\n' | b'Suppose -5*g + 5 = 5*w, -w + 5 = w - g. Solve l = -w*u - 2*l - 7, 14 = -3*u - l for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -2*w - 3*b = -9, 2*b - 9 + 3 = 4*w. Solve 3*g = 3*x + 12, w*x - g + 14 = -3*x for x.\n' | b'-5\n' | b'Suppose -2*w - 3*b = -9, 2*b - 9 + 3 = 4*w. Solve 3*g = 3*x + 12, w*x - g + 14 = -3*x for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose v - 1 = 4*c, -c + 4 = 4*v + c. Solve -5*f = -4*g - 9, 2*g - 9 = -v for f.\n' | b'5\n' | b'Suppose v - 1 = 4*c, -c + 4 = 4*v + c. Solve -5*f = -4*g - 9, 2*g - 9 = -v for f.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 5, l: 3, a: 3}. Give prob of picking 3 a and 1 l.\n' | b'1/110\n' | b'Four letters picked without replacement from {n: 5, l: 3, a: 3}. Give prob of picking 3 a and 1 l.\n' | b'1/110\n' | deepmind/math_dataset |
b'Calculate prob of sequence mv when two letters picked without replacement from vmmmmvmvmppmp.\n' | b'7/52\n' | b'Calculate prob of sequence mv when two letters picked without replacement from vmmmmvmvmppmp.\n' | b'7/52\n' | deepmind/math_dataset |
b'Let d = 41 - 14. Let x = -23 + d. Suppose 0*q = -x*q + 8. Solve 3*i + 19 = -2*o, -q*i + 7*i + 19 = 3*o for i.\n' | b'-5\n' | b'Let d = 41 - 14. Let x = -23 + d. Suppose 0*q = -x*q + 8. Solve 3*i + 19 = -2*o, -q*i + 7*i + 19 = 3*o for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose -72*l + 70 = -62*l. Suppose 0 = 3*m + 5*q - 2, -l*q = -4*q + 15. Solve m = -3*z + p - 2, 3*z + 5 = -2*p for z.\n' | b'-3\n' | b'Suppose -72*l + 70 = -62*l. Suppose 0 = 3*m + 5*q - 2, -l*q = -4*q + 15. Solve m = -3*z + p - 2, 3*z + 5 = -2*p for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((g**(-1)/g)**30/(g*g**(-2)*g**(-7)/g))/((g**(1/2))**(4/7))**(-12) assuming g is positive.\n' | b'g**(-333/7)\n' | b'Simplify ((g**(-1)/g)**30/(g*g**(-2)*g**(-7)/g))/((g**(1/2))**(4/7))**(-12) assuming g is positive.\n' | b'g**(-333/7)\n' | deepmind/math_dataset |
b'Suppose 3*n + 23 = -10. Let i(w) = w**3 - 4*w**2 - 2. Let c(v) = 5*v**3 - 21*v**2 - 11. Let d(r) = n*i(r) + 2*c(r). What is the third derivative of d(g) wrt g?\n' | b'-6\n' | b'Suppose 3*n + 23 = -10. Let i(w) = w**3 - 4*w**2 - 2. Let c(v) = 5*v**3 - 21*v**2 - 11. Let d(r) = n*i(r) + 2*c(r). What is the third derivative of d(g) wrt g?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (a/((a*a**(2/35))/a*a)*a*a**(2/5)*a)**4 assuming a is positive.\n' | b'a**(328/35)\n' | b'Simplify (a/((a*a**(2/35))/a*a)*a*a**(2/5)*a)**4 assuming a is positive.\n' | b'a**(328/35)\n' | deepmind/math_dataset |
b'Let m(s) = -2 - 1 + 6*s**3 + 2 - s. Let f(i) = -3*i - 43. Suppose -4*h + 3*r - 66 = -22, 0 = 3*h + 5*r + 62. Let p be f(h). What is m(p)?\n' | b'-6\n' | b'Let m(s) = -2 - 1 + 6*s**3 + 2 - s. Let f(i) = -3*i - 43. Suppose -4*h + 3*r - 66 = -22, 0 = 3*h + 5*r + 62. Let p be f(h). What is m(p)?\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of sequence syxs when four letters picked without replacement from {y: 1, x: 1, h: 1, l: 2, s: 2}.\n' | b'1/420\n' | b'Calculate prob of sequence syxs when four letters picked without replacement from {y: 1, x: 1, h: 1, l: 2, s: 2}.\n' | b'1/420\n' | deepmind/math_dataset |
b'Suppose 2*o + 2*j = -0*o + 6, -o = -2*j + 3. Let h(x) = -5*x**3 - x**2 + x. Determine h(o).\n' | b'-5\n' | b'Suppose 2*o + 2*j = -0*o + 6, -o = -2*j + 3. Let h(x) = -5*x**3 - x**2 + x. Determine h(o).\n' | b'-5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 4, c: 1, m: 5, s: 1, y: 5}. What is prob of sequence msfm?\n' | b'1/546\n' | b'Four letters picked without replacement from {f: 4, c: 1, m: 5, s: 1, y: 5}. What is prob of sequence msfm?\n' | b'1/546\n' | deepmind/math_dataset |
b'Let q(l) = -l**3 - 1127 + 1128 + 2*l + 2*l. Let z = -3 - 0. Calculate q(z).\n' | b'16\n' | b'Let q(l) = -l**3 - 1127 + 1128 + 2*l + 2*l. Let z = -3 - 0. Calculate q(z).\n' | b'16\n' | deepmind/math_dataset |
b'Simplify g*g**(3/14)/g*g*g**19 assuming g is positive.\n' | b'g**(283/14)\n' | b'Simplify g*g**(3/14)/g*g*g**19 assuming g is positive.\n' | b'g**(283/14)\n' | deepmind/math_dataset |
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