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 e, 1 w, and 1 h when three letters picked without replacement from wchewwpwhwihewppw.\n' | b'21/340\n' | b'Calculate prob of picking 1 e, 1 w, and 1 h when three letters picked without replacement from wchewwpwhwihewppw.\n' | b'21/340\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wkkwdwkkwkkdw. What is prob of sequence dwwk?\n' | b'2/143\n' | b'Four letters picked without replacement from wkkwdwkkwkkdw. What is prob of sequence dwwk?\n' | b'2/143\n' | deepmind/math_dataset |
b'Let n(w) be the first derivative of 7*w**4/4 - w**2/2 - w + 2. Let l = -795 + 808. Let y be (-1)/1 - 0*l/(-91). Calculate n(y).\n' | b'-7\n' | b'Let n(w) be the first derivative of 7*w**4/4 - w**2/2 - w + 2. Let l = -795 + 808. Let y be (-1)/1 - 0*l/(-91). Calculate n(y).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose -7 = 2*t - 13. Let a(l) = -l + 21. Suppose -4*c - 3*n = -2*c - 36, 0 = 2*c - 4*n - 22. Let q be a(c). Solve u + q = -u + 5*r, -u = r + t for u.\n' | b'-3\n' | b'Suppose -7 = 2*t - 13. Let a(l) = -l + 21. Suppose -4*c - 3*n = -2*c - 36, 0 = 2*c - 4*n - 22. Let q be a(c). Solve u + q = -u + 5*r, -u = r + t for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (v**(-2))**33*v**(1/5)/(v**(4/3)/v) assuming v is positive.\n' | b'v**(-992/15)\n' | b'Simplify (v**(-2))**33*v**(1/5)/(v**(4/3)/v) assuming v is positive.\n' | b'v**(-992/15)\n' | deepmind/math_dataset |
b'What is prob of sequence shss when four letters picked without replacement from shsshhshsshshssh?\n' | b'21/260\n' | b'What is prob of sequence shss when four letters picked without replacement from shsshhshsshshssh?\n' | b'21/260\n' | deepmind/math_dataset |
b'Simplify (((i*i*i**11)/(i*i**(-8)*i))/(i/(i**(-3)/i*i*i*i)*i)**(1/16))**(2/37) assuming i is positive.\n' | b'i**(301/296)\n' | b'Simplify (((i*i*i**11)/(i*i**(-8)*i))/(i/(i**(-3)/i*i*i*i)*i)**(1/16))**(2/37) assuming i is positive.\n' | b'i**(301/296)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {o: 6, l: 2}. Give prob of sequence ooo.\n' | b'5/14\n' | b'Three letters picked without replacement from {o: 6, l: 2}. Give prob of sequence ooo.\n' | b'5/14\n' | deepmind/math_dataset |
b'Let h = -5 + 5. Suppose 5*g - 20 = -5*o, 5*o + 4 - 21 = -4*g. Suppose -g*i = a - 8, -4*i + 2 = -5*a + 2*a. Solve h = d - 5*n - 30, -5*d + 2*n = -a*n - 45 for d.\n' | b'5\n' | b'Let h = -5 + 5. Suppose 5*g - 20 = -5*o, 5*o + 4 - 21 = -4*g. Suppose -g*i = a - 8, -4*i + 2 = -5*a + 2*a. Solve h = d - 5*n - 30, -5*d + 2*n = -a*n - 45 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Simplify ((k/(k**(-1/13)*k))/((k*k/(k/((k*k**6*k)/k*k)))/k))/(((k*(k*(((k*k**(2/47))/k)/k)/k*k)/k)/k)/k*k*k**(2/13)) assuming k is positive.\n' | b'k**(-4350/611)\n' | b'Simplify ((k/(k**(-1/13)*k))/((k*k/(k/((k*k**6*k)/k*k)))/k))/(((k*(k*(((k*k**(2/47))/k)/k)/k*k)/k)/k)/k*k*k**(2/13)) assuming k is positive.\n' | b'k**(-4350/611)\n' | deepmind/math_dataset |
b'Let l(i) be the first derivative of -2*i**5/5 - 5*i**3/3 + 43*i**2 - 183. What is the second derivative of l(w) wrt w?\n' | b'-24*w**2 - 10\n' | b'Let l(i) be the first derivative of -2*i**5/5 - 5*i**3/3 + 43*i**2 - 183. What is the second derivative of l(w) wrt w?\n' | b'-24*w**2 - 10\n' | deepmind/math_dataset |
b'Calculate prob of sequence wff when three letters picked without replacement from fwwwwwwwwfwwwwfwww.\n' | b'5/272\n' | b'Calculate prob of sequence wff when three letters picked without replacement from fwwwwwwwwfwwwwfwww.\n' | b'5/272\n' | deepmind/math_dataset |
b'Let x(f) = f**2 - 4*f + 3. Let r be 5/10*(-12)/2. Let v(k) = -k**2 + 3*k - 2. Let w(u) = r*v(u) - 2*x(u). Find the second derivative of w(j) wrt j.\n' | b'2\n' | b'Let x(f) = f**2 - 4*f + 3. Let r be 5/10*(-12)/2. Let v(k) = -k**2 + 3*k - 2. Let w(u) = r*v(u) - 2*x(u). Find the second derivative of w(j) wrt j.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hehehhhhhimqe. Give prob of picking 1 h, 1 q, and 1 m.\n' | b'7/286\n' | b'Three letters picked without replacement from hehehhhhhimqe. Give prob of picking 1 h, 1 q, and 1 m.\n' | b'7/286\n' | deepmind/math_dataset |
b'What is prob of sequence gk when two letters picked without replacement from gkgg?\n' | b'1/4\n' | b'What is prob of sequence gk when two letters picked without replacement from gkgg?\n' | b'1/4\n' | deepmind/math_dataset |
b'Let c = 8 + -13. Let f(a) be the third derivative of -a**6/360 - 7*a**5/120 + 37*a**4/12 - 7*a**2 - a. Let b(o) be the second derivative of f(o). Give b(c).\n' | b'3\n' | b'Let c = 8 + -13. Let f(a) be the third derivative of -a**6/360 - 7*a**5/120 + 37*a**4/12 - 7*a**2 - a. Let b(o) be the second derivative of f(o). Give b(c).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((g/(g*g*(g**(-3/2)*g)/g*g)*((g*g/g**(-3/4)*g)/g)/g)/(((g*g/g**(2/3))/g)/g**(-1/3)))**33)**25 assuming g is positive.\n' | b'g**(1925/4)\n' | b'Simplify (((g/(g*g*(g**(-3/2)*g)/g*g)*((g*g/g**(-3/4)*g)/g)/g)/(((g*g/g**(2/3))/g)/g**(-1/3)))**33)**25 assuming g is positive.\n' | b'g**(1925/4)\n' | deepmind/math_dataset |
b'Let w(m) = 3*m**2 + 2*m + 1. Let i(v) = 8*v**2 - 312*v - 123. Let u(d) = i(d) - 3*w(d). Differentiate u(k) wrt k.\n' | b'-2*k - 318\n' | b'Let w(m) = 3*m**2 + 2*m + 1. Let i(v) = 8*v**2 - 312*v - 123. Let u(d) = i(d) - 3*w(d). Differentiate u(k) wrt k.\n' | b'-2*k - 318\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 2, x: 6}. What is prob of sequence nnxx?\n' | b'1/28\n' | b'Four letters picked without replacement from {n: 2, x: 6}. What is prob of sequence nnxx?\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose 18*r + 69 - 84 = -141. Let q(c) = c**3 + 6*c**2 - 8*c - 7. What is q(r)?\n' | b'0\n' | b'Suppose 18*r + 69 - 84 = -141. Let q(c) = c**3 + 6*c**2 - 8*c - 7. What is q(r)?\n' | b'0\n' | deepmind/math_dataset |
b'Let x(a) = a**2 - 4*a - 5. Let v be x(5). Solve 2*d + 5*q = -5, v*d + 5*d + q + 24 = 0 for d.\n' | b'-5\n' | b'Let x(a) = a**2 - 4*a - 5. Let v be x(5). Solve 2*d + 5*q = -5, v*d + 5*d + q + 24 = 0 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, p: 1, t: 1, d: 1, n: 1}. Give prob of picking 1 t and 1 d.\n' | b'1/10\n' | b'Two letters picked without replacement from {h: 1, p: 1, t: 1, d: 1, n: 1}. Give prob of picking 1 t and 1 d.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let c(g) be the second derivative of g**3/6 + 7*g**2/2 + g. Let b be c(-7). Solve b = m - u - 0 + 1, 2*m - 19 = -5*u for m.\n' | b'2\n' | b'Let c(g) be the second derivative of g**3/6 + 7*g**2/2 + g. Let b be c(-7). Solve b = m - u - 0 + 1, 2*m - 19 = -5*u for m.\n' | b'2\n' | deepmind/math_dataset |
b'Let h = 10 - 6. Suppose h*r = -p + 2*p + 20, 4*r - 148 = 5*p. Let q be (48/p)/(3/(-8)). Solve 3*b - 6 = -q*m + 5*b, m = -2*b - 11 for m.\n' | b'-1\n' | b'Let h = 10 - 6. Suppose h*r = -p + 2*p + 20, 4*r - 148 = 5*p. Let q be (48/p)/(3/(-8)). Solve 3*b - 6 = -q*m + 5*b, m = -2*b - 11 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (n**(-20)/(n**(2/15)*n))/(n*n*(n/n**1)/n*n**(4/21)) assuming n is positive.\n' | b'n**(-2344/105)\n' | b'Simplify (n**(-20)/(n**(2/15)*n))/(n*n*(n/n**1)/n*n**(4/21)) assuming n is positive.\n' | b'n**(-2344/105)\n' | deepmind/math_dataset |
b'Let w(b) = -3*b - 8. Suppose 5*a - 6 = 5*i - 26, -5*i - 1 = -2*a. Let k be w(a). Solve 2*m = -5*h - 3, 3 + k = -4*m for h.\n' | b'1\n' | b'Let w(b) = -3*b - 8. Suppose 5*a - 6 = 5*i - 26, -5*i - 1 = -2*a. Let k be w(a). Solve 2*m = -5*h - 3, 3 + k = -4*m for h.\n' | b'1\n' | deepmind/math_dataset |
b'Let i(r) = 13*r - 74. Let g be i(6). Solve -5*w - 18 = -a, 2*w - g*a + 31 - 13 = 0 for w.\n' | b'-3\n' | b'Let i(r) = 13*r - 74. Let g be i(6). Solve -5*w - 18 = -a, 2*w - g*a + 31 - 13 = 0 for w.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 w when two letters picked without replacement from {s: 1, p: 1, w: 2, m: 2, f: 1, z: 1}?\n' | b'1/14\n' | b'What is prob of picking 1 z and 1 w when two letters picked without replacement from {s: 1, p: 1, w: 2, m: 2, f: 1, z: 1}?\n' | b'1/14\n' | deepmind/math_dataset |
b'Let c be 2 - (-6)/((-6)/(-2)). Suppose 0 = -c*a - 2*h - 16, -5*a + 2*h = h + 6. Let k be (1 - 1)*a/4. Solve -r - 2*d - 5 = -k*d, -r + d + 1 = 0 for r.\n' | b'-1\n' | b'Let c be 2 - (-6)/((-6)/(-2)). Suppose 0 = -c*a - 2*h - 16, -5*a + 2*h = h + 6. Let k be (1 - 1)*a/4. Solve -r - 2*d - 5 = -k*d, -r + d + 1 = 0 for r.\n' | b'-1\n' | deepmind/math_dataset |
b'Let f(r) = 6*r**2 - 33*r + 18. Let q be f(5). Solve -2*h + 4*p = -6, h = q*h + 2*p + 18 for h.\n' | b'-5\n' | b'Let f(r) = 6*r**2 - 33*r + 18. Let q be f(5). Solve -2*h + 4*p = -6, h = q*h + 2*p + 18 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {q: 4, r: 3, p: 1, w: 4, s: 1, n: 1}.\n' | b'6/91\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {q: 4, r: 3, p: 1, w: 4, s: 1, n: 1}.\n' | b'6/91\n' | deepmind/math_dataset |
b'Let o(m) = -3*m**3 - 22*m**2 - m - 3. Let q(j) = 5*j**3 + 33*j**2 + 2*j + 3. Let l(y) = -8*o(y) - 5*q(y). Determine l(11).\n' | b'-13\n' | b'Let o(m) = -3*m**3 - 22*m**2 - m - 3. Let q(j) = 5*j**3 + 33*j**2 + 2*j + 3. Let l(y) = -8*o(y) - 5*q(y). Determine l(11).\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of sequence riri when four letters picked without replacement from {i: 1, r: 3}?\n' | b'0\n' | b'What is prob of sequence riri when four letters picked without replacement from {i: 1, r: 3}?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify x/x**(-12)*x*x/(x*x/(x*x**(5/3)*x*x*x))*(x/((x**(2/31)/x*x)/x))/(x*x*(x/(x*x**(-7/5)/x*x))/x*x) assuming x is positive.\n' | b'x**(7999/465)\n' | b'Simplify x/x**(-12)*x*x/(x*x/(x*x**(5/3)*x*x*x))*(x/((x**(2/31)/x*x)/x))/(x*x*(x/(x*x**(-7/5)/x*x))/x*x) assuming x is positive.\n' | b'x**(7999/465)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from hxhxhfhhfffxh. Give prob of picking 2 x and 2 h.\n' | b'9/143\n' | b'Four letters picked without replacement from hxhxhfhhfffxh. Give prob of picking 2 x and 2 h.\n' | b'9/143\n' | deepmind/math_dataset |
b'Suppose -21*s - 25 = 38. Let x be (-3 + -7)*s/3. Solve -2*r = 4*i + x, -1 = -2*i - 3*r + 4*r for i.\n' | b'-1\n' | b'Suppose -21*s - 25 = 38. Let x be (-3 + -7)*s/3. Solve -2*r = 4*i + x, -1 = -2*i - 3*r + 4*r for i.\n' | b'-1\n' | deepmind/math_dataset |
b'Let l be (2 + 4)/12*-2. Let j(m) = 3*m - 4*m + 6*m. Calculate j(l).\n' | b'-5\n' | b'Let l be (2 + 4)/12*-2. Let j(m) = 3*m - 4*m + 6*m. Calculate j(l).\n' | b'-5\n' | deepmind/math_dataset |
b'Let h = 9 - 3. Let u(r) = -1 + 1 + 7*r**2 - 6*r - 6 - 6*r**2. What is u(h)?\n' | b'-6\n' | b'Let h = 9 - 3. Let u(r) = -1 + 1 + 7*r**2 - 6*r - 6 - 6*r**2. What is u(h)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let g(s) = -228*s + 55*s + 49*s - 8*s**2 + 57*s + 56*s + 11 - s**3. Calculate g(-6).\n' | b'5\n' | b'Let g(s) = -228*s + 55*s + 49*s - 8*s**2 + 57*s + 56*s + 11 - s**3. Calculate g(-6).\n' | b'5\n' | deepmind/math_dataset |
b'Let j(x) = 5 + 0 - 2 - 2*x - 5 - 2*x**2. Let r(h) = -h**3 + 5*h**2 - 2. Suppose -a + 5*a - 20 = 0. Let g be r(a). Determine j(g).\n' | b'-6\n' | b'Let j(x) = 5 + 0 - 2 - 2*x - 5 - 2*x**2. Let r(h) = -h**3 + 5*h**2 - 2. Suppose -a + 5*a - 20 = 0. Let g be r(a). Determine j(g).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 5*h + 719 - 129 = 0. Let w be h/(-38) - (-10)/(-95). Solve 2*t - w*p = -3, -3*p - 7 = t + p for t.\n' | b'-3\n' | b'Suppose 5*h + 719 - 129 = 0. Let w be h/(-38) - (-10)/(-95). Solve 2*t - w*p = -3, -3*p - 7 = t + p for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Let z(r) = r**3 - 2*r**2 - 2*r + 171. Let b(g) = 3*g**3 - 5*g**2 - 5*g + 345. Let q(y) = 2*b(y) - 5*z(y). What is the derivative of q(x) wrt x?\n' | b'3*x**2\n' | b'Let z(r) = r**3 - 2*r**2 - 2*r + 171. Let b(g) = 3*g**3 - 5*g**2 - 5*g + 345. Let q(y) = 2*b(y) - 5*z(y). What is the derivative of q(x) wrt x?\n' | b'3*x**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence llll when four letters picked without replacement from wwwwwwwwwwwwlwwwlll.\n' | b'1/3876\n' | b'Calculate prob of sequence llll when four letters picked without replacement from wwwwwwwwwwwwlwwwlll.\n' | b'1/3876\n' | deepmind/math_dataset |
b'Simplify (p**5/(p**28/p))/(p*p**(1/2))**(-13/3) assuming p is positive.\n' | b'p**(-31/2)\n' | b'Simplify (p**5/(p**28/p))/(p*p**(1/2))**(-13/3) assuming p is positive.\n' | b'p**(-31/2)\n' | deepmind/math_dataset |
b'Suppose 5*t - 10 = -3*o + 23, -5*o + 55 = -t. Let c(y) = -2*y**2 + 24*y - 28. Calculate c(o).\n' | b'-6\n' | b'Suppose 5*t - 10 = -3*o + 23, -5*o + 55 = -t. Let c(y) = -2*y**2 + 24*y - 28. Calculate c(o).\n' | b'-6\n' | deepmind/math_dataset |
b'Let i be (-2)/9 - (-352)/(-36). Let o(g) = -g**2 - 14*g - 8. Let p be o(i). Suppose p = -0*d + 4*d. Solve -2*q + 17 = 4*t + 3*q, -4*q = -4*t + d for t.\n' | b'3\n' | b'Let i be (-2)/9 - (-352)/(-36). Let o(g) = -g**2 - 14*g - 8. Let p be o(i). Suppose p = -0*d + 4*d. Solve -2*q + 17 = 4*t + 3*q, -4*q = -4*t + d for t.\n' | b'3\n' | deepmind/math_dataset |
b'Let k(d) = 6*d**2 + 2*d - 43. Let f(z) = 2*z**2 + z - 14. Let g(i) = 17*f(i) - 6*k(i). Let s(h) be the first derivative of g(h). Give s(5).\n' | b'-15\n' | b'Let k(d) = 6*d**2 + 2*d - 43. Let f(z) = 2*z**2 + z - 14. Let g(i) = 17*f(i) - 6*k(i). Let s(h) be the first derivative of g(h). Give s(5).\n' | b'-15\n' | deepmind/math_dataset |
b'Simplify (x/(x**(-4)*x)*x/(x*(x/(x*x**(-3/2)))/x))/((x/(x*x/(x/(x*(x*x/x**(-4)*x)/x))))/x*x**(4/3)) assuming x is positive.\n' | b'x**(61/6)\n' | b'Simplify (x/(x**(-4)*x)*x/(x*(x/(x*x**(-3/2)))/x))/((x/(x*x/(x/(x*(x*x/x**(-4)*x)/x))))/x*x**(4/3)) assuming x is positive.\n' | b'x**(61/6)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from rdffrfrrwfwrnd. What is prob of sequence fdfw?\n' | b'2/1001\n' | b'Four letters picked without replacement from rdffrfrrwfwrnd. What is prob of sequence fdfw?\n' | b'2/1001\n' | deepmind/math_dataset |
b'What is prob of sequence zzed when four letters picked without replacement from ezzdzdeddd?\n' | b'1/84\n' | b'What is prob of sequence zzed when four letters picked without replacement from ezzdzdeddd?\n' | b'1/84\n' | deepmind/math_dataset |
b'Let h(q) be the first derivative of -q**4/4 + 5*q**3/3 - q**2/2 + 2*q + 1297. Let y be -2 - (-6 + (-2 - -1)). Calculate h(y).\n' | b'-3\n' | b'Let h(q) be the first derivative of -q**4/4 + 5*q**3/3 - q**2/2 + 2*q + 1297. Let y be -2 - (-6 + (-2 - -1)). Calculate h(y).\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kggklggyyygl. What is prob of picking 1 l and 1 k?\n' | b'2/33\n' | b'Two letters picked without replacement from kggklggyyygl. What is prob of picking 1 l and 1 k?\n' | b'2/33\n' | deepmind/math_dataset |
b'Suppose 0 = -5*c + 15, 0*c + 12 = 3*k - c. Find the second derivative of -4*v + 0*v**4 - 3*v**5 + 0*v**4 + v**k wrt v.\n' | b'-40*v**3\n' | b'Suppose 0 = -5*c + 15, 0*c + 12 = 3*k - c. Find the second derivative of -4*v + 0*v**4 - 3*v**5 + 0*v**4 + v**k wrt v.\n' | b'-40*v**3\n' | deepmind/math_dataset |
b'Let w(u) be the third derivative of 503*u**6/24 + 43*u**5/20 + u**3/3 - u**2 - 54*u - 29. Find the third derivative of w(l) wrt l.\n' | b'15090\n' | b'Let w(u) be the third derivative of 503*u**6/24 + 43*u**5/20 + u**3/3 - u**2 - 54*u - 29. Find the third derivative of w(l) wrt l.\n' | b'15090\n' | deepmind/math_dataset |
b'Suppose 4*c + 0 = 8. Solve 0 = 2*x - 3*l - 16, 5*x + c + 0 = -3*l for x.\n' | b'2\n' | b'Suppose 4*c + 0 = 8. Solve 0 = 2*x - 3*l - 16, 5*x + c + 0 = -3*l for x.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence zmz when three letters picked without replacement from {z: 5, m: 5}.\n' | b'5/36\n' | b'Calculate prob of sequence zmz when three letters picked without replacement from {z: 5, m: 5}.\n' | b'5/36\n' | deepmind/math_dataset |
b'What is prob of picking 2 s and 1 h when three letters picked without replacement from jjsrjshjsjjjjhhjhjj?\n' | b'4/323\n' | b'What is prob of picking 2 s and 1 h when three letters picked without replacement from jjsrjshjsjjjjhhjhjj?\n' | b'4/323\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ixjviiixiixj. What is prob of picking 2 j and 2 x?\n' | b'1/165\n' | b'Four letters picked without replacement from ixjviiixiixj. What is prob of picking 2 j and 2 x?\n' | b'1/165\n' | deepmind/math_dataset |
b'Simplify (h**(-10/7)*h*h/(h*h**3))**13 assuming h is positive.\n' | b'h**(-312/7)\n' | b'Simplify (h**(-10/7)*h*h/(h*h**3))**13 assuming h is positive.\n' | b'h**(-312/7)\n' | deepmind/math_dataset |
b'Let p(r) = 3793*r**4 + 10*r**3 + 15*r + 2411. Let q(d) = -5689*d**4 - 16*d**3 - 24*d - 3616. Let c(b) = 8*p(b) + 5*q(b). What is the derivative of c(g) wrt g?\n' | b'7596*g**3\n' | b'Let p(r) = 3793*r**4 + 10*r**3 + 15*r + 2411. Let q(d) = -5689*d**4 - 16*d**3 - 24*d - 3616. Let c(b) = 8*p(b) + 5*q(b). What is the derivative of c(g) wrt g?\n' | b'7596*g**3\n' | deepmind/math_dataset |
b'Let p(k) = -35*k**3 - 42*k + 21*k + 22*k - 1. Suppose -101 = -12*c - 31*c - 58*c. Determine p(c).\n' | b'-35\n' | b'Let p(k) = -35*k**3 - 42*k + 21*k + 22*k - 1. Suppose -101 = -12*c - 31*c - 58*c. Determine p(c).\n' | b'-35\n' | deepmind/math_dataset |
b'What is prob of sequence cg when two letters picked without replacement from {c: 12, g: 7}?\n' | b'14/57\n' | b'What is prob of sequence cg when two letters picked without replacement from {c: 12, g: 7}?\n' | b'14/57\n' | deepmind/math_dataset |
b'Suppose 5*p + 169 = 9. Let s = 57 + p. Let d be 5*(-2)/(-2*1). Solve -6*z = -z - 2*a + 19, d*z = 5*a - s for z.\n' | b'-3\n' | b'Suppose 5*p + 169 = 9. Let s = 57 + p. Let d be 5*(-2)/(-2*1). Solve -6*z = -z - 2*a + 19, d*z = 5*a - s for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -132 = 28*h - 40*h. Solve -z + h = 5*q, -2*z = -2*q + 3*z - 1 for q.\n' | b'2\n' | b'Suppose -132 = 28*h - 40*h. Solve -z + h = 5*q, -2*z = -2*q + 3*z - 1 for q.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {b: 4, a: 3, x: 2, s: 1, p: 4}.\n' | b'8/91\n' | b'Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {b: 4, a: 3, x: 2, s: 1, p: 4}.\n' | b'8/91\n' | deepmind/math_dataset |
b'Let h = 59 - 43. Suppose h = 2*w + 2*r, 2*w = 5*r - 0*r + 2. Solve -w*q + 24 = -3*q + 3*z, -q = 2*z - 12 for q.\n' | b'4\n' | b'Let h = 59 - 43. Suppose h = 2*w + 2*r, 2*w = 5*r - 0*r + 2. Solve -w*q + 24 = -3*q + 3*z, -q = 2*z - 12 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (v/(v*v*v**(-4)))/(v**(-5)*v)*(v**(4/9))**(-3/20) assuming v is positive.\n' | b'v**(104/15)\n' | b'Simplify (v/(v*v*v**(-4)))/(v**(-5)*v)*(v**(4/9))**(-3/20) assuming v is positive.\n' | b'v**(104/15)\n' | deepmind/math_dataset |
b'Suppose 3*y - 32 - 60 = 4*h, -22 = -y - 3*h. Solve 3*x + 2 = -5*d, y = 2*x + 26 for d.\n' | b'-1\n' | b'Suppose 3*y - 32 - 60 = 4*h, -22 = -y - 3*h. Solve 3*x + 2 = -5*d, y = 2*x + 26 for d.\n' | b'-1\n' | deepmind/math_dataset |
b'Let o(h) be the first derivative of 0*h**5 + 0*h**4 - 17 + 0*h**2 + 49/3*h**6 + 106/3*h**3 + 0*h. What is the third derivative of o(v) wrt v?\n' | b'5880*v**2\n' | b'Let o(h) be the first derivative of 0*h**5 + 0*h**4 - 17 + 0*h**2 + 49/3*h**6 + 106/3*h**3 + 0*h. What is the third derivative of o(v) wrt v?\n' | b'5880*v**2\n' | deepmind/math_dataset |
b'Let w(f) = f**3 + 44*f**2 - 193*f + 8. Let m be w(4). Solve -m*r = -5*g + 8, -r + 69 - 50 = 4*g for r.\n' | b'3\n' | b'Let w(f) = f**3 + 44*f**2 - 193*f + 8. Let m be w(4). Solve -m*r = -5*g + 8, -r + 69 - 50 = 4*g for r.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (n**(-2/17)*n**(-6))/(n**5*(n/n**(-1/3)*n)/n) assuming n is positive.\n' | b'n**(-635/51)\n' | b'Simplify (n**(-2/17)*n**(-6))/(n**5*(n/n**(-1/3)*n)/n) assuming n is positive.\n' | b'n**(-635/51)\n' | deepmind/math_dataset |
b'Let s(q) be the third derivative of q**4/8 + q**3/2 + 6*q**2. Let f be ((-2)/(-12))/(2 - 33/18). Let r = f + -3. Give s(r).\n' | b'-3\n' | b'Let s(q) be the third derivative of q**4/8 + q**3/2 + 6*q**2. Let f be ((-2)/(-12))/(2 - 33/18). Let r = f + -3. Give s(r).\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(b) = -2*b**2. Let h(s) = 17*s**2. Let o(u) = -14*d(u) - 2*h(u). Let t be -3*4/24*(9 + -5). Determine o(t).\n' | b'-24\n' | b'Let d(b) = -2*b**2. Let h(s) = 17*s**2. Let o(u) = -14*d(u) - 2*h(u). Let t be -3*4/24*(9 + -5). Determine o(t).\n' | b'-24\n' | deepmind/math_dataset |
b'Let o(g) = 17*g + 9. Let b be o(3). Let r = 62 - b. Solve -2*f + i + 5 = 0, r*i = -0 + 6 for f.\n' | b'4\n' | b'Let o(g) = 17*g + 9. Let b be o(3). Let r = 62 - b. Solve -2*f + i + 5 = 0, r*i = -0 + 6 for f.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence aaao when four letters picked without replacement from {o: 9, a: 5, d: 2}?\n' | b'9/728\n' | b'What is prob of sequence aaao when four letters picked without replacement from {o: 9, a: 5, d: 2}?\n' | b'9/728\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y when two letters picked without replacement from {y: 14, v: 1}.\n' | b'13/15\n' | b'Calculate prob of picking 2 y when two letters picked without replacement from {y: 14, v: 1}.\n' | b'13/15\n' | deepmind/math_dataset |
b'What is prob of picking 1 v and 1 k when two letters picked without replacement from {k: 4, a: 3, l: 8, v: 2}?\n' | b'1/17\n' | b'What is prob of picking 1 v and 1 k when two letters picked without replacement from {k: 4, a: 3, l: 8, v: 2}?\n' | b'1/17\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 9, h: 1, g: 1}. What is prob of picking 1 g and 1 h?\n' | b'1/55\n' | b'Two letters picked without replacement from {n: 9, h: 1, g: 1}. What is prob of picking 1 g and 1 h?\n' | b'1/55\n' | deepmind/math_dataset |
b'Simplify (c*c/c**(-1/22))/c*(c**2*c)/c*c**(-1/13)*c**(3/13)/c*c assuming c is positive.\n' | b'c**(915/286)\n' | b'Simplify (c*c/c**(-1/22))/c*(c**2*c)/c*c**(-1/13)*c**(3/13)/c*c assuming c is positive.\n' | b'c**(915/286)\n' | deepmind/math_dataset |
b'Simplify ((a*(a**(-10)/a)/a)/a*a**(3/11)/a)/((((a**(-11)/a*a*a)/a)/a)/a**(-2/7)) assuming a is positive.\n' | b'a**(-78/77)\n' | b'Simplify ((a*(a**(-10)/a)/a)/a*a**(3/11)/a)/((((a**(-11)/a*a*a)/a)/a)/a**(-2/7)) assuming a is positive.\n' | b'a**(-78/77)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, t: 2, e: 9, w: 6}. What is prob of sequence ee?\n' | b'4/19\n' | b'Two letters picked without replacement from {m: 2, t: 2, e: 9, w: 6}. What is prob of sequence ee?\n' | b'4/19\n' | deepmind/math_dataset |
b'Simplify l**(-12)*l*l/(l**(-2/27)*l*l) assuming l is positive.\n' | b'l**(-322/27)\n' | b'Simplify l**(-12)*l*l/(l**(-2/27)*l*l) assuming l is positive.\n' | b'l**(-322/27)\n' | deepmind/math_dataset |
b'Let f(n) = n + 15. Let m be f(-7). Let b(z) = z**2 + 3*z - 2. Let r be b(-3). Let y = r + m. Let c(w) = -w**2 + 6*w. What is c(y)?\n' | b'0\n' | b'Let f(n) = n + 15. Let m be f(-7). Let b(z) = z**2 + 3*z - 2. Let r be b(-3). Let y = r + m. Let c(w) = -w**2 + 6*w. What is c(y)?\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 1 i, 2 m, and 1 f when four letters picked without replacement from {i: 10, f: 2, m: 2}?\n' | b'20/1001\n' | b'What is prob of picking 1 i, 2 m, and 1 f when four letters picked without replacement from {i: 10, f: 2, m: 2}?\n' | b'20/1001\n' | deepmind/math_dataset |
b'Let k(x) = -x**3 + x**2 - x - 2. Let y(l) = 175*l**3 - 376*l**2 + 2*l + 4. Let s(z) = 2*k(z) + y(z). Find the third derivative of s(m) wrt m.\n' | b'1038\n' | b'Let k(x) = -x**3 + x**2 - x - 2. Let y(l) = 175*l**3 - 376*l**2 + 2*l + 4. Let s(z) = 2*k(z) + y(z). Find the third derivative of s(m) wrt m.\n' | b'1038\n' | deepmind/math_dataset |
b'Let t(h) = 3 + 7*h - 2*h**2 - 3*h + 3*h**2. Let m(j) = -j**2 - j - 1. Let q = -5 + 6. Let i(v) = q*t(v) + 3*m(v). What is the second derivative of i(a) wrt a?\n' | b'-4\n' | b'Let t(h) = 3 + 7*h - 2*h**2 - 3*h + 3*h**2. Let m(j) = -j**2 - j - 1. Let q = -5 + 6. Let i(v) = q*t(v) + 3*m(v). What is the second derivative of i(a) wrt a?\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence fhhf when four letters picked without replacement from ffhffghgfffffff.\n' | b'11/1638\n' | b'Calculate prob of sequence fhhf when four letters picked without replacement from ffhffghgfffffff.\n' | b'11/1638\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 2, p: 2, l: 2, x: 2}. Give prob of sequence kp.\n' | b'1/14\n' | b'Two letters picked without replacement from {k: 2, p: 2, l: 2, x: 2}. Give prob of sequence kp.\n' | b'1/14\n' | deepmind/math_dataset |
b'Suppose -2 = -0*k + k - 2*n, -4*k - 1 = -n. Let o(b) be the first derivative of -1/2*b**2 - 56 + 3*b. Calculate o(k).\n' | b'3\n' | b'Suppose -2 = -0*k + k - 2*n, -4*k - 1 = -n. Let o(b) be the first derivative of -1/2*b**2 - 56 + 3*b. Calculate o(k).\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 1, t: 2, h: 2}. What is prob of sequence ehh?\n' | b'1/30\n' | b'Three letters picked without replacement from {e: 1, t: 2, h: 2}. What is prob of sequence ehh?\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of sequence kk when two letters picked without replacement from mmvmvoovvvkvvvvvvkmv.\n' | b'1/190\n' | b'Calculate prob of sequence kk when two letters picked without replacement from mmvmvoovvvkvvvvvvkmv.\n' | b'1/190\n' | deepmind/math_dataset |
b'What is prob of picking 1 z, 1 y, and 1 r when three letters picked without replacement from yzryr?\n' | b'2/5\n' | b'What is prob of picking 1 z, 1 y, and 1 r when three letters picked without replacement from yzryr?\n' | b'2/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k and 1 i when four letters picked without replacement from {i: 4, k: 3, p: 4, l: 1, y: 2, v: 1}.\n' | b'4/1365\n' | b'Calculate prob of picking 3 k and 1 i when four letters picked without replacement from {i: 4, k: 3, p: 4, l: 1, y: 2, v: 1}.\n' | b'4/1365\n' | deepmind/math_dataset |
b'Simplify (x**(-2/95)/x*x*x*x**(-36))**(-5/13) assuming x is positive.\n' | b'x**(3327/247)\n' | b'Simplify (x**(-2/95)/x*x*x*x**(-36))**(-5/13) assuming x is positive.\n' | b'x**(3327/247)\n' | deepmind/math_dataset |
b'What is prob of sequence xc when two letters picked without replacement from {y: 1, z: 2, c: 3, x: 4, l: 6}?\n' | b'1/20\n' | b'What is prob of sequence xc when two letters picked without replacement from {y: 1, z: 2, c: 3, x: 4, l: 6}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Suppose -5*r + 40 = 3*r. Solve 5 = r*s + 4*m + m, 3*m = -2*s + 4 for s.\n' | b'-1\n' | b'Suppose -5*r + 40 = 3*r. Solve 5 = r*s + 4*m + m, 3*m = -2*s + 4 for s.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 2, r: 1}. Give prob of picking 2 r.\n' | b'0\n' | b'Two letters picked without replacement from {x: 2, r: 1}. Give prob of picking 2 r.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, e: 7, q: 2}. Give prob of picking 1 q and 1 b.\n' | b'2/45\n' | b'Two letters picked without replacement from {b: 1, e: 7, q: 2}. Give prob of picking 1 q and 1 b.\n' | b'2/45\n' | deepmind/math_dataset |
b'Suppose 0*h = h + 2*r + 18, 4*h + 65 = -r. Let z(o) = 5*o + 81. Let u be z(h). Solve -3*a - s - 9 = 0, -5*a = -4*s - 3 + u for a.\n' | b'-2\n' | b'Suppose 0*h = h + 2*r + 18, 4*h + 65 = -r. Let z(o) = 5*o + 81. Let u be z(h). Solve -3*a - s - 9 = 0, -5*a = -4*s - 3 + u for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (s**(-30)*s)/s**(-6) assuming s is positive.\n' | b's**(-23)\n' | b'Simplify (s**(-30)*s)/s**(-6) assuming s is positive.\n' | b's**(-23)\n' | deepmind/math_dataset |
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