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'Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {s: 1, o: 2}.\n' | b'2/3\n' | b'Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {s: 1, o: 2}.\n' | b'2/3\n' | deepmind/math_dataset |
b'Suppose -f - 6 = -5*r, 2*r - 3*f - 4 = 1. Solve -17 = -t + 5*n, n = -r - 3 for t.\n' | b'-3\n' | b'Suppose -f - 6 = -5*r, 2*r - 3*f - 4 = 1. Solve -17 = -t + 5*n, n = -r - 3 for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (u*u*u**(-2/7))**(8/7)*(((u/u**3*u)/u)/u*u)**(-42) assuming u is positive.\n' | b'u**(4212/49)\n' | b'Simplify (u*u*u**(-2/7))**(8/7)*(((u/u**3*u)/u)/u*u)**(-42) assuming u is positive.\n' | b'u**(4212/49)\n' | deepmind/math_dataset |
b'Let z(n) = n**3 - 2*n**2 + 2*n - 1. Let y be z(1). Suppose 5*v = 5*k + 40, 3*v = -y*v - 3*k + 12. Find the second derivative of -s**2 + 6 + s - v wrt s.\n' | b'-2\n' | b'Let z(n) = n**3 - 2*n**2 + 2*n - 1. Let y be z(1). Suppose 5*v = 5*k + 40, 3*v = -y*v - 3*k + 12. Find the second derivative of -s**2 + 6 + s - v wrt s.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose f + 2*v = 0, -4*f + 12 = 2*v - 0*v. Find the second derivative of -55*s - 4 + 20*s**5 - 87*s**5 + f wrt s.\n' | b'-1340*s**3\n' | b'Suppose f + 2*v = 0, -4*f + 12 = 2*v - 0*v. Find the second derivative of -55*s - 4 + 20*s**5 - 87*s**5 + f wrt s.\n' | b'-1340*s**3\n' | deepmind/math_dataset |
b'What is the third derivative of -336 - 9*c**6 + 336 - 16*c**2 wrt c?\n' | b'-1080*c**3\n' | b'What is the third derivative of -336 - 9*c**6 + 336 - 16*c**2 wrt c?\n' | b'-1080*c**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vvvomomovmomoooovoov. What is prob of picking 1 o and 3 v?\n' | b'40/969\n' | b'Four letters picked without replacement from vvvomomovmomoooovoov. What is prob of picking 1 o and 3 v?\n' | b'40/969\n' | deepmind/math_dataset |
b'Simplify ((a*a**5)/a**(-7))/(a**2)**46 assuming a is positive.\n' | b'a**(-79)\n' | b'Simplify ((a*a**5)/a**(-7))/(a**2)**46 assuming a is positive.\n' | b'a**(-79)\n' | deepmind/math_dataset |
b'Simplify (((((p/(p**(2/11)*p))/p)/p*p*p*p*(p/(p**3/p))/p)**46)**19)**34 assuming p is positive.\n' | b'p**(-386308/11)\n' | b'Simplify (((((p/(p**(2/11)*p))/p)/p*p*p*p*(p/(p**3/p))/p)**46)**19)**34 assuming p is positive.\n' | b'p**(-386308/11)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v when two letters picked without replacement from vdvvvvvvvvvvvvv.\n' | b'13/15\n' | b'Calculate prob of picking 2 v when two letters picked without replacement from vdvvvvvvvvvvvvv.\n' | b'13/15\n' | deepmind/math_dataset |
b'Suppose -9 - 2 = -22*o + 33. Suppose -3*j + h + 35 = 0, -1 = j - 4*h - 20. Let p = -3 + j. Solve -7 + 3 = -b - 4*l, o*l + p = -3*b for b.\n' | b'-4\n' | b'Suppose -9 - 2 = -22*o + 33. Suppose -3*j + h + 35 = 0, -1 = j - 4*h - 20. Let p = -3 + j. Solve -7 + 3 = -b - 4*l, o*l + p = -3*b for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let w(j) be the third derivative of 53*j**7/42 - 5*j**4/8 + 2099*j**2. What is the second derivative of w(t) wrt t?\n' | b'3180*t**2\n' | b'Let w(j) be the third derivative of 53*j**7/42 - 5*j**4/8 + 2099*j**2. What is the second derivative of w(t) wrt t?\n' | b'3180*t**2\n' | deepmind/math_dataset |
b'Let t(s) = s**2 + s + 11. Let q be t(-5). Suppose 1281 = 5*j + q. Find the third derivative of -2*z + 37*z**3 + 2*z + 219*z**2 - j*z**2 wrt z.\n' | b'222\n' | b'Let t(s) = s**2 + s + 11. Let q be t(-5). Suppose 1281 = 5*j + q. Find the third derivative of -2*z + 37*z**3 + 2*z + 219*z**2 - j*z**2 wrt z.\n' | b'222\n' | deepmind/math_dataset |
b'Let x = -1038 - -1078. Suppose -3*p + 5*n = -x, 4*n + 13 = p - 12. Solve -5*l + p*h = 0, 32 - 7 = -5*h for l.\n' | b'-5\n' | b'Let x = -1038 - -1078. Suppose -3*p + 5*n = -x, 4*n + 13 = p - 12. Solve -5*l + p*h = 0, 32 - 7 = -5*h for l.\n' | b'-5\n' | deepmind/math_dataset |
b'Let k = 22 + -18. Suppose 0 = 4*u - 0*u - 4*p + 4, k*p = 5*u. Find the first derivative of 1 + 3 + d**2 + u + 2*d**2 wrt d.\n' | b'6*d\n' | b'Let k = 22 + -18. Suppose 0 = 4*u - 0*u - 4*p + 4, k*p = 5*u. Find the first derivative of 1 + 3 + d**2 + u + 2*d**2 wrt d.\n' | b'6*d\n' | deepmind/math_dataset |
b'Let x(r) be the third derivative of 361*r**6/40 - 323*r**5/20 + 78*r**2. Find the third derivative of x(i) wrt i.\n' | b'6498\n' | b'Let x(r) be the third derivative of 361*r**6/40 - 323*r**5/20 + 78*r**2. Find the third derivative of x(i) wrt i.\n' | b'6498\n' | deepmind/math_dataset |
b'Let x(a) = -a**2 - 6*a + 16. Let l(h) = -2*h**2 - 6*h + 22. Let u be l(-5). Let b be x(u). Solve -y + d - 5*d - 3 = b, -2*y - 2*d = 0 for y.\n' | b'1\n' | b'Let x(a) = -a**2 - 6*a + 16. Let l(h) = -2*h**2 - 6*h + 22. Let u be l(-5). Let b be x(u). Solve -y + d - 5*d - 3 = b, -2*y - 2*d = 0 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c, 1 q, and 2 h when four letters picked without replacement from {c: 7, h: 2, q: 3}.\n' | b'7/165\n' | b'Calculate prob of picking 1 c, 1 q, and 2 h when four letters picked without replacement from {c: 7, h: 2, q: 3}.\n' | b'7/165\n' | deepmind/math_dataset |
b'Simplify v**15/v**6 assuming v is positive.\n' | b'v**9\n' | b'Simplify v**15/v**6 assuming v is positive.\n' | b'v**9\n' | deepmind/math_dataset |
b'Calculate prob of sequence spp when three letters picked without replacement from {p: 5, t: 1, s: 3}.\n' | b'5/42\n' | b'Calculate prob of sequence spp when three letters picked without replacement from {p: 5, t: 1, s: 3}.\n' | b'5/42\n' | deepmind/math_dataset |
b'What is prob of sequence ww when two letters picked without replacement from wwhnwkwwhnnnnnnkn?\n' | b'5/68\n' | b'What is prob of sequence ww when two letters picked without replacement from wwhnwkwwhnnnnnnkn?\n' | b'5/68\n' | deepmind/math_dataset |
b'Let a be (-3 + 26/10)*5 + -1. Let r = a + 10. Let v(m) = m - 4. Determine v(r).\n' | b'3\n' | b'Let a be (-3 + 26/10)*5 + -1. Let r = a + 10. Let v(m) = m - 4. Determine v(r).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 2 k when two letters picked without replacement from {k: 5, e: 11}?\n' | b'1/12\n' | b'What is prob of picking 2 k when two letters picked without replacement from {k: 5, e: 11}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, t: 1, k: 4, w: 1, f: 2, c: 3}. What is prob of picking 1 k and 1 f?\n' | b'4/33\n' | b'Two letters picked without replacement from {u: 1, t: 1, k: 4, w: 1, f: 2, c: 3}. What is prob of picking 1 k and 1 f?\n' | b'4/33\n' | deepmind/math_dataset |
b'What is prob of sequence sr when two letters picked without replacement from {k: 8, s: 2, d: 1, r: 2}?\n' | b'1/39\n' | b'What is prob of sequence sr when two letters picked without replacement from {k: 8, s: 2, d: 1, r: 2}?\n' | b'1/39\n' | deepmind/math_dataset |
b'Let s(l) = l**2 - 5*l - 9. Suppose 29*f - 1076 = -844. Determine s(f).\n' | b'15\n' | b'Let s(l) = l**2 - 5*l - 9. Suppose 29*f - 1076 = -844. Determine s(f).\n' | b'15\n' | deepmind/math_dataset |
b'Simplify ((f**(-1/2))**(2/37))**18 assuming f is positive.\n' | b'f**(-18/37)\n' | b'Simplify ((f**(-1/2))**(2/37))**18 assuming f is positive.\n' | b'f**(-18/37)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hwwe. What is prob of picking 1 e and 2 w?\n' | b'1/4\n' | b'Three letters picked without replacement from hwwe. What is prob of picking 1 e and 2 w?\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose 0 = -3*v - 0*v. Let q(u) = 4*u**2 + 2*u + 1. Let i be q(2). Suppose -i*d + 22*d - 18 = 0. Solve -j - 2*k = -d + 7, 3*k - 12 = v for j.\n' | b'3\n' | b'Suppose 0 = -3*v - 0*v. Let q(u) = 4*u**2 + 2*u + 1. Let i be q(2). Suppose -i*d + 22*d - 18 = 0. Solve -j - 2*k = -d + 7, 3*k - 12 = v for j.\n' | b'3\n' | deepmind/math_dataset |
b'Let r be 0/(-2 - (0 + 1)). Let z(h) = 4 - 5*h**2 + r*h**3 + 5*h - h**3 + 4*h**2. What is z(-3)?\n' | b'7\n' | b'Let r be 0/(-2 - (0 + 1)). Let z(h) = 4 - 5*h**2 + r*h**3 + 5*h - h**3 + 4*h**2. What is z(-3)?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (f**(9/8))**(-4) assuming f is positive.\n' | b'f**(-9/2)\n' | b'Simplify (f**(9/8))**(-4) assuming f is positive.\n' | b'f**(-9/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ouopooooochohoop. What is prob of sequence pc?\n' | b'1/120\n' | b'Two letters picked without replacement from ouopooooochohoop. What is prob of sequence pc?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let d = -7 + -29. Let v be 2/(-4) + d/(-8). What is the second derivative of v*t**4 + 32 - 32 - t wrt t?\n' | b'48*t**2\n' | b'Let d = -7 + -29. Let v be 2/(-4) + d/(-8). What is the second derivative of v*t**4 + 32 - 32 - t wrt t?\n' | b'48*t**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 2, t: 4, q: 2}. Give prob of picking 2 t and 2 q.\n' | b'3/35\n' | b'Four letters picked without replacement from {w: 2, t: 4, q: 2}. Give prob of picking 2 t and 2 q.\n' | b'3/35\n' | deepmind/math_dataset |
b'Simplify (l**(2/3)*(l**(1/3)*l)/l*l)/(l**(-2)/l)**35*(l**(-1/4))**(-3/17)/((l**5*l)/l*l*l/(l**4*l)) assuming l is positive.\n' | b'l**(7143/68)\n' | b'Simplify (l**(2/3)*(l**(1/3)*l)/l*l)/(l**(-2)/l)**35*(l**(-1/4))**(-3/17)/((l**5*l)/l*l*l/(l**4*l)) assuming l is positive.\n' | b'l**(7143/68)\n' | deepmind/math_dataset |
b'Simplify ((g/g**(-6))/((g/(g/(g/(g/(g*g**(-10/7)/g*g*g*g*g)))))/g))**(-3)/((g**(-6/11)*(g**(-8)*g)/g)/(g*g*g/g**(-2/5)*g)**4) assuming g is positive.\n' | b'g**(3796/385)\n' | b'Simplify ((g/g**(-6))/((g/(g/(g/(g/(g*g**(-10/7)/g*g*g*g*g)))))/g))**(-3)/((g**(-6/11)*(g**(-8)*g)/g)/(g*g*g/g**(-2/5)*g)**4) assuming g is positive.\n' | b'g**(3796/385)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {q: 2, i: 2, z: 1, t: 2, f: 1, c: 1}. What is prob of picking 1 t and 2 q?\n' | b'1/42\n' | b'Three letters picked without replacement from {q: 2, i: 2, z: 1, t: 2, f: 1, c: 1}. What is prob of picking 1 t and 2 q?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let s(i) be the first derivative of -23/4*i**4 - 7 + 0*i + 3*i**2 - 2/3*i**3. Find the third derivative of s(j) wrt j.\n' | b'-138\n' | b'Let s(i) be the first derivative of -23/4*i**4 - 7 + 0*i + 3*i**2 - 2/3*i**3. Find the third derivative of s(j) wrt j.\n' | b'-138\n' | deepmind/math_dataset |
b'Let g(m) = -m**3 - 2*m**2 + 5*m + 8. Let u be g(-3). What is the second derivative of -272*i**u + 1 + 3*i + 1 + 173*i**2 wrt i?\n' | b'-198\n' | b'Let g(m) = -m**3 - 2*m**2 + 5*m + 8. Let u be g(-3). What is the second derivative of -272*i**u + 1 + 3*i + 1 + 173*i**2 wrt i?\n' | b'-198\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 4, b: 7, n: 5}. Give prob of picking 1 n and 2 b.\n' | b'3/16\n' | b'Three letters picked without replacement from {e: 4, b: 7, n: 5}. Give prob of picking 1 n and 2 b.\n' | b'3/16\n' | deepmind/math_dataset |
b'Simplify (i**1/i)/i**6*(i**2)**(-5) assuming i is positive.\n' | b'i**(-16)\n' | b'Simplify (i**1/i)/i**6*(i**2)**(-5) assuming i is positive.\n' | b'i**(-16)\n' | deepmind/math_dataset |
b'Let r(x) = x**5 + x**2 + 1. Let j(b) = -6*b**5 - 2*b**3 - 26*b**2 - 2. Let y(o) = j(o) + 2*r(o). Find the third derivative of y(i) wrt i.\n' | b'-240*i**2 - 12\n' | b'Let r(x) = x**5 + x**2 + 1. Let j(b) = -6*b**5 - 2*b**3 - 26*b**2 - 2. Let y(o) = j(o) + 2*r(o). Find the third derivative of y(i) wrt i.\n' | b'-240*i**2 - 12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, y: 1, o: 6, c: 2, t: 10}. What is prob of picking 1 y and 1 c?\n' | b'1/95\n' | b'Two letters picked without replacement from {u: 1, y: 1, o: 6, c: 2, t: 10}. What is prob of picking 1 y and 1 c?\n' | b'1/95\n' | deepmind/math_dataset |
b'Let l(z) be the second derivative of z**4/3 + z. Let k be l(1). Solve -2*m - 4 = -k*g, -3*g = -2*m + 7*m - 29 for m.\n' | b'4\n' | b'Let l(z) be the second derivative of z**4/3 + z. Let k be l(1). Solve -2*m - 4 = -k*g, -3*g = -2*m + 7*m - 29 for m.\n' | b'4\n' | deepmind/math_dataset |
b'Let a = -6119 - -6130. Let j(y) = 4*y - 41. Calculate j(a).\n' | b'3\n' | b'Let a = -6119 - -6130. Let j(y) = 4*y - 41. Calculate j(a).\n' | b'3\n' | deepmind/math_dataset |
b'Let a(r) = 3*r**3 + 7*r - 3 + 12 + 2*r**2 - 5*r**2 + r**2. Let n be a(-4). Let g be (18/10 - 2) + n/(-15). Solve -5*t = -t + c - g, -c = 4 for t.\n' | b'5\n' | b'Let a(r) = 3*r**3 + 7*r - 3 + 12 + 2*r**2 - 5*r**2 + r**2. Let n be a(-4). Let g be (18/10 - 2) + n/(-15). Solve -5*t = -t + c - g, -c = 4 for t.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vzcvvvevzzzvvvcvbvc. What is prob of sequence zez?\n' | b'2/969\n' | b'Three letters picked without replacement from vzcvvvevzzzvvvcvbvc. What is prob of sequence zez?\n' | b'2/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from sfsddddddddddf. Give prob of picking 1 f and 1 d.\n' | b'20/91\n' | b'Two letters picked without replacement from sfsddddddddddf. Give prob of picking 1 f and 1 d.\n' | b'20/91\n' | deepmind/math_dataset |
b'What is prob of sequence wi when two letters picked without replacement from {z: 1, a: 5, w: 1, i: 3}?\n' | b'1/30\n' | b'What is prob of sequence wi when two letters picked without replacement from {z: 1, a: 5, w: 1, i: 3}?\n' | b'1/30\n' | deepmind/math_dataset |
b'Let x(c) = 15*c - 20. Let d(g) = -5*g + 7. Let k(r) = 17*d(r) + 6*x(r). Let p = -6 + 5. Determine k(p).\n' | b'-6\n' | b'Let x(c) = 15*c - 20. Let d(g) = -5*g + 7. Let k(r) = 17*d(r) + 6*x(r). Let p = -6 + 5. Determine k(p).\n' | b'-6\n' | deepmind/math_dataset |
b'Let m be 1/((45/(-40))/(-9)). Let h be (m/50)/((-16)/(-40))*20. Differentiate 72 - 13 - 32*o - h - 28 wrt o.\n' | b'-32\n' | b'Let m be 1/((45/(-40))/(-9)). Let h be (m/50)/((-16)/(-40))*20. Differentiate 72 - 13 - 32*o - h - 28 wrt o.\n' | b'-32\n' | deepmind/math_dataset |
b'What is the first derivative of 34*b - 8*b + 110 + 7*b**3 - 22*b wrt b?\n' | b'21*b**2 + 4\n' | b'What is the first derivative of 34*b - 8*b + 110 + 7*b**3 - 22*b wrt b?\n' | b'21*b**2 + 4\n' | deepmind/math_dataset |
b'Let h(k) = k**2 + k - 4. Let i be h(3). Let l(q) = 13*q**2 - 1. Let m be l(-1). What is the third derivative of -m*j + 2*j**2 - 7*j - i*j**6 + 19*j wrt j?\n' | b'-960*j**3\n' | b'Let h(k) = k**2 + k - 4. Let i be h(3). Let l(q) = 13*q**2 - 1. Let m be l(-1). What is the third derivative of -m*j + 2*j**2 - 7*j - i*j**6 + 19*j wrt j?\n' | b'-960*j**3\n' | deepmind/math_dataset |
b'Simplify ((a*a**7/a)**(-39)/(a**(-1/4)/(a/(a**11/a))))**(-28) assuming a is positive.\n' | b'a**7889\n' | b'Simplify ((a*a**7/a)**(-39)/(a**(-1/4)/(a/(a**11/a))))**(-28) assuming a is positive.\n' | b'a**7889\n' | deepmind/math_dataset |
b'Simplify ((i**1/i)/(i/i**(-5)))/(i*i/(i*i**(3/8)*i)*i*i**(-2/5))*((i**(-7)*i)/(i**(-7)*i*i))/((i*i*i**8)/(i*i*i**(-1))) assuming i is positive.\n' | b'i**(-649/40)\n' | b'Simplify ((i**1/i)/(i/i**(-5)))/(i*i/(i*i**(3/8)*i)*i*i**(-2/5))*((i**(-7)*i)/(i**(-7)*i*i))/((i*i*i**8)/(i*i*i**(-1))) assuming i is positive.\n' | b'i**(-649/40)\n' | deepmind/math_dataset |
b'Let y(k) be the first derivative of -2*k**3 + 0*k**4 - 5/2*k**2 - 2/5*k**5 + 0*k + 4. What is the second derivative of y(n) wrt n?\n' | b'-24*n**2 - 12\n' | b'Let y(k) be the first derivative of -2*k**3 + 0*k**4 - 5/2*k**2 - 2/5*k**5 + 0*k + 4. What is the second derivative of y(n) wrt n?\n' | b'-24*n**2 - 12\n' | deepmind/math_dataset |
b'Suppose 2*b + 17 = -5*h, -28*h + 33*h = -4*b - 9. Solve 5*q - 77*i - 13 = -76*i, -b*q + 18 = 3*i for q.\n' | b'3\n' | b'Suppose 2*b + 17 = -5*h, -28*h + 33*h = -4*b - 9. Solve 5*q - 77*i - 13 = -76*i, -b*q + 18 = 3*i for q.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence xu when two letters picked without replacement from {u: 5, x: 7}.\n' | b'35/132\n' | b'Calculate prob of sequence xu when two letters picked without replacement from {u: 5, x: 7}.\n' | b'35/132\n' | deepmind/math_dataset |
b'Suppose 2*p = -5*t - 9, 4*p + 20*t - 22*t = 42. Solve -p - 5 = -4*u + 3*d, 4*u = 5*d + 19 for u.\n' | b'1\n' | b'Suppose 2*p = -5*t - 9, 4*p + 20*t - 22*t = 42. Solve -p - 5 = -4*u + 3*d, 4*u = 5*d + 19 for u.\n' | b'1\n' | deepmind/math_dataset |
b'Let q be (6/(-18))/((16 + -14)*(-2)/48). Solve 5*n + 9 = q*t + 2, -3*n = -5*t + 12 for n.\n' | b'1\n' | b'Let q be (6/(-18))/((16 + -14)*(-2)/48). Solve 5*n + 9 = q*t + 2, -3*n = -5*t + 12 for n.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 r when two letters picked without replacement from {q: 2, r: 11}?\n' | b'55/78\n' | b'What is prob of picking 2 r when two letters picked without replacement from {q: 2, r: 11}?\n' | b'55/78\n' | deepmind/math_dataset |
b'Calculate prob of sequence ppe when three letters picked without replacement from {e: 3, p: 3}.\n' | b'3/20\n' | b'Calculate prob of sequence ppe when three letters picked without replacement from {e: 3, p: 3}.\n' | b'3/20\n' | deepmind/math_dataset |
b'Let h(q) be the first derivative of 22*q**3 - q**2 + 1100*q - 4847. What is the second derivative of h(l) wrt l?\n' | b'132\n' | b'Let h(q) be the first derivative of 22*q**3 - q**2 + 1100*q - 4847. What is the second derivative of h(l) wrt l?\n' | b'132\n' | deepmind/math_dataset |
b'Simplify (s/(s*s**(-3)))**(-32)/((s/s**(1/15))/((s/(s/(s**(-15)*s)))/s)) assuming s is positive.\n' | b's**(-1679/15)\n' | b'Simplify (s/(s*s**(-3)))**(-32)/((s/s**(1/15))/((s/(s/(s**(-15)*s)))/s)) assuming s is positive.\n' | b's**(-1679/15)\n' | deepmind/math_dataset |
b'Suppose 0 = -3*w - 16 + 1. Let f(s) be the third derivative of -s**4/6 - s**3/2 - 6*s**2. Give f(w).\n' | b'17\n' | b'Suppose 0 = -3*w - 16 + 1. Let f(s) be the third derivative of -s**4/6 - s**3/2 - 6*s**2. Give f(w).\n' | b'17\n' | deepmind/math_dataset |
b'Let t = 66 - 61. Let j(g) = g**2 - 6*g - 1. What is j(t)?\n' | b'-6\n' | b'Let t = 66 - 61. Let j(g) = g**2 - 6*g - 1. What is j(t)?\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of sequence vnff when four letters picked without replacement from {f: 2, g: 3, v: 3, q: 3, n: 3}?\n' | b'3/4004\n' | b'What is prob of sequence vnff when four letters picked without replacement from {f: 2, g: 3, v: 3, q: 3, n: 3}?\n' | b'3/4004\n' | deepmind/math_dataset |
b'Let q = 434 - 432. Let v(f) = 2 - f + 38*f**2 + 4*f**2 - 37*f**q. Determine v(-2).\n' | b'24\n' | b'Let q = 434 - 432. Let v(f) = 2 - f + 38*f**2 + 4*f**2 - 37*f**q. Determine v(-2).\n' | b'24\n' | deepmind/math_dataset |
b'Simplify r**1*(r**(-1/5)/r)/r assuming r is positive.\n' | b'r**(-6/5)\n' | b'Simplify r**1*(r**(-1/5)/r)/r assuming r is positive.\n' | b'r**(-6/5)\n' | deepmind/math_dataset |
b'Let k(a) = -a**3 + 35*a**2 - 35*a + 50. Let x be k(34). Solve 4*t - 13 = u, 0 - x = -4*t for u.\n' | b'3\n' | b'Let k(a) = -a**3 + 35*a**2 - 35*a + 50. Let x be k(34). Solve 4*t - 13 = u, 0 - x = -4*t for u.\n' | b'3\n' | deepmind/math_dataset |
b'Let h(n) = n**3 - 14*n**2 - 28*n - 4. Let t be h(16). Let r be (-8)/t - 156/180. Let l(q) = 27*q**3 + q**2 - q - 1. Give l(r).\n' | b'-26\n' | b'Let h(n) = n**3 - 14*n**2 - 28*n - 4. Let t be h(16). Let r be (-8)/t - 156/180. Let l(q) = 27*q**3 + q**2 - q - 1. Give l(r).\n' | b'-26\n' | deepmind/math_dataset |
b'Let x(w) = -w**5 - w**4 + w**3 - 1. Let g(q) = -7*q**6 + q**5 + q**4 - q**3 + 8*q**2 + 1. Let z(f) = -g(f) - x(f). Find the third derivative of z(j) wrt j.\n' | b'840*j**3\n' | b'Let x(w) = -w**5 - w**4 + w**3 - 1. Let g(q) = -7*q**6 + q**5 + q**4 - q**3 + 8*q**2 + 1. Let z(f) = -g(f) - x(f). Find the third derivative of z(j) wrt j.\n' | b'840*j**3\n' | deepmind/math_dataset |
b'Let r(u) = u + 3. Let w be r(6). Let a = w - 7. Solve a*j = -3*l + 14, -14 = -4*j - 0*l + l for j.\n' | b'4\n' | b'Let r(u) = u + 3. Let w be r(6). Let a = w - 7. Solve a*j = -3*l + 14, -14 = -4*j - 0*l + l for j.\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aaayamyayaayaayaaaaa. What is prob of picking 3 a?\n' | b'91/285\n' | b'Three letters picked without replacement from aaayamyayaayaayaaaaa. What is prob of picking 3 a?\n' | b'91/285\n' | deepmind/math_dataset |
b'Suppose 5*a = 16 + 109. Solve -x - 4*g - a + 9 = 0, 5*g + 15 = 0 for x.\n' | b'-4\n' | b'Suppose 5*a = 16 + 109. Solve -x - 4*g - a + 9 = 0, 5*g + 15 = 0 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*y - 76 = -85. Solve 7 = y*d + 3*x + x, -4*x + 16 = 0 for d.\n' | b'-3\n' | b'Suppose -3*y - 76 = -85. Solve 7 = y*d + 3*x + x, -4*x + 16 = 0 for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r = 754 + -749. Suppose 3*o - 5*o + 6 = 0. Suppose 5*h + 5 = 0, o*h = -r*i - h + 21. Let x(d) = d**2 - 5*d. Calculate x(i).\n' | b'0\n' | b'Let r = 754 + -749. Suppose 3*o - 5*o + 6 = 0. Suppose 5*h + 5 = 0, o*h = -r*i - h + 21. Let x(d) = d**2 - 5*d. Calculate x(i).\n' | b'0\n' | deepmind/math_dataset |
b'Let y(q) = 223*q**5 + 6*q**3 + 8*q - 104. Let l(z) = -2*z**5 + z**3 + z - 1. Let m(a) = 6*l(a) - y(a). What is the second derivative of m(p) wrt p?\n' | b'-4700*p**3\n' | b'Let y(q) = 223*q**5 + 6*q**3 + 8*q - 104. Let l(z) = -2*z**5 + z**3 + z - 1. Let m(a) = 6*l(a) - y(a). What is the second derivative of m(p) wrt p?\n' | b'-4700*p**3\n' | deepmind/math_dataset |
b'Let z be ((-6)/(-9))/((-3)/18). Let a = z + 7. Let m(p) = p + 3*p + 10*p - a*p. Determine m(-1).\n' | b'-11\n' | b'Let z be ((-6)/(-9))/((-3)/18). Let a = z + 7. Let m(p) = p + 3*p + 10*p - a*p. Determine m(-1).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify (q/((q/((q*q/(q**(3/2)*q))/q))/q))**(-1/12)*q**(1/16)*q**(-1/36)*q assuming q is positive.\n' | b'q**(155/144)\n' | b'Simplify (q/((q/((q*q/(q**(3/2)*q))/q))/q))**(-1/12)*q**(1/16)*q**(-1/36)*q assuming q is positive.\n' | b'q**(155/144)\n' | deepmind/math_dataset |
b'Let i = -9 + 28. Let v(f) = -3*f**2 - 330*f - 1572. Let g be v(-105). Solve 5*j + 3 = -g*h, 5*h - i = 5*j + 16 for j.\n' | b'-3\n' | b'Let i = -9 + 28. Let v(f) = -3*f**2 - 330*f - 1572. Let g be v(-105). Solve 5*j + 3 = -g*h, 5*h - i = 5*j + 16 for j.\n' | b'-3\n' | deepmind/math_dataset |
b'Let j(b) be the third derivative of 0*b**3 - 1/6*b**4 + 0*b**5 + 0*b**6 + 0 + 8/105*b**7 + 0*b - 6*b**2. What is the second derivative of j(w) wrt w?\n' | b'192*w**2\n' | b'Let j(b) be the third derivative of 0*b**3 - 1/6*b**4 + 0*b**5 + 0*b**6 + 0 + 8/105*b**7 + 0*b - 6*b**2. What is the second derivative of j(w) wrt w?\n' | b'192*w**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nknhnpkchhcn. What is prob of sequence kph?\n' | b'1/220\n' | b'Three letters picked without replacement from nknhnpkchhcn. What is prob of sequence kph?\n' | b'1/220\n' | deepmind/math_dataset |
b'Let s(v) be the first derivative of -184 + 190*v + 68/3*v**3 + 0*v**2. Find the first derivative of s(x) wrt x.\n' | b'136*x\n' | b'Let s(v) be the first derivative of -184 + 190*v + 68/3*v**3 + 0*v**2. Find the first derivative of s(x) wrt x.\n' | b'136*x\n' | deepmind/math_dataset |
b'Find the second derivative of 376*k**3 + 28*k + 80*k**2 + 5 - 182*k**3 - 188*k**3 wrt k.\n' | b'36*k + 160\n' | b'Find the second derivative of 376*k**3 + 28*k + 80*k**2 + 5 - 182*k**3 - 188*k**3 wrt k.\n' | b'36*k + 160\n' | deepmind/math_dataset |
b'Let h(o) = 54*o + 1. Let s(g) = g**2 - 369*g - 24. Let j(q) = -7*h(q) - s(q). Calculate j(4).\n' | b'-35\n' | b'Let h(o) = 54*o + 1. Let s(g) = g**2 - 369*g - 24. Let j(q) = -7*h(q) - s(q). Calculate j(4).\n' | b'-35\n' | deepmind/math_dataset |
b'Suppose -4*d = -5*h - 25, 18 = -h + 5*d - 8. Let m(x) = -2*x + 4. Let g(p) = -7*p + 11. Let o(q) = 3*g(q) - 8*m(q). Give o(h).\n' | b'6\n' | b'Suppose -4*d = -5*h - 25, 18 = -h + 5*d - 8. Let m(x) = -2*x + 4. Let g(p) = -7*p + 11. Let o(q) = 3*g(q) - 8*m(q). Give o(h).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((i**(1/2))**(-35))**(9/7) assuming i is positive.\n' | b'i**(-45/2)\n' | b'Simplify ((i**(1/2))**(-35))**(9/7) assuming i is positive.\n' | b'i**(-45/2)\n' | deepmind/math_dataset |
b'Let g be 121/44 - (-24)/(-32). Solve 2*p - r = 3, 3*p + 2*p = g*r + 7 for p.\n' | b'1\n' | b'Let g be 121/44 - (-24)/(-32). Solve 2*p - r = 3, 3*p + 2*p = g*r + 7 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Let c(z) = 3*z**3 - 103*z**2 + 36*z - 43. Let g be c(34). Suppose -g*i - 45 = -95. Solve 3*v + 2*m + 15 = 5*m, i*m = -4*v + 10 for v.\n' | b'0\n' | b'Let c(z) = 3*z**3 - 103*z**2 + 36*z - 43. Let g be c(34). Suppose -g*i - 45 = -95. Solve 3*v + 2*m + 15 = 5*m, i*m = -4*v + 10 for v.\n' | b'0\n' | deepmind/math_dataset |
b'Let b be -7*(-30)/35 - 3. Let r be 3 + 2 - b - 0. Solve -5*j + 2*g = 22, r*j + 15 = -j + 3*g for j.\n' | b'-4\n' | b'Let b be -7*(-30)/35 - 3. Let r be 3 + 2 - b - 0. Solve -5*j + 2*g = 22, r*j + 15 = -j + 3*g for j.\n' | b'-4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {h: 1, y: 1, s: 1, w: 1, b: 1, o: 2}. Give prob of sequence bso.\n' | b'1/105\n' | b'Three letters picked without replacement from {h: 1, y: 1, s: 1, w: 1, b: 1, o: 2}. Give prob of sequence bso.\n' | b'1/105\n' | deepmind/math_dataset |
b'Calculate prob of sequence tz when two letters picked without replacement from wsztwsss.\n' | b'1/56\n' | b'Calculate prob of sequence tz when two letters picked without replacement from wsztwsss.\n' | b'1/56\n' | deepmind/math_dataset |
b'Suppose -3 = -s - 0*s. Suppose 0 = -2*p + s*p - 3, c - 5*p - 9 = 0. Solve -2*x - 4*w - c = 0, 0 = 2*w + w + 12 for x.\n' | b'-4\n' | b'Suppose -3 = -s - 0*s. Suppose 0 = -2*p + s*p - 3, c - 5*p - 9 = 0. Solve -2*x - 4*w - c = 0, 0 = 2*w + w + 12 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -u + 12 = -2*f - 5, -f = 5*u - 19. Let b(d) = -7*d - 6. What is b(f)?\n' | b'36\n' | b'Suppose -u + 12 = -2*f - 5, -f = 5*u - 19. Let b(d) = -7*d - 6. What is b(f)?\n' | b'36\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 2, v: 1, g: 2, j: 6}. What is prob of picking 1 g and 3 j?\n' | b'4/33\n' | b'Four letters picked without replacement from {a: 2, v: 1, g: 2, j: 6}. What is prob of picking 1 g and 3 j?\n' | b'4/33\n' | deepmind/math_dataset |
b'Let v(m) = 2*m**2 + 34*m - 34. Let f be v(-18). Find the third derivative of 76*t**2 + 8*t**2 - 117*t**4 - 9*t**f + 219*t**4 wrt t.\n' | b'2448*t\n' | b'Let v(m) = 2*m**2 + 34*m - 34. Let f be v(-18). Find the third derivative of 76*t**2 + 8*t**2 - 117*t**4 - 9*t**f + 219*t**4 wrt t.\n' | b'2448*t\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {i: 1, g: 1, k: 1, x: 5, c: 2}. Give prob of picking 1 k, 1 g, and 1 c.\n' | b'1/60\n' | b'Three letters picked without replacement from {i: 1, g: 1, k: 1, x: 5, c: 2}. Give prob of picking 1 k, 1 g, and 1 c.\n' | b'1/60\n' | deepmind/math_dataset |
b'Let x be (-1)/((63/45)/(-7)). Solve -4*o - 12 = 3*a, 2 = o + 2*a + x for o.\n' | b'-3\n' | b'Let x be (-1)/((63/45)/(-7)). Solve -4*o - 12 = 3*a, 2 = o + 2*a + x for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (f*f*f**(-6)*f*f*f*f*f**(-2/11))/((f/(f**(-6)/f))/(f**(1/2)*f)) assuming f is positive.\n' | b'f**(-147/22)\n' | b'Simplify (f*f*f**(-6)*f*f*f*f*f**(-2/11))/((f/(f**(-6)/f))/(f**(1/2)*f)) assuming f is positive.\n' | b'f**(-147/22)\n' | deepmind/math_dataset |
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