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 p(y) = 7*y**5 + 5*y**4 - 16*y. Let d(x) = 18*x**5 + 12*x**4 - 40*x. Let m(r) = 5*d(r) - 12*p(r). Find the second derivative of m(g) wrt g.\n' | b'120*g**3\n' | b'Let p(y) = 7*y**5 + 5*y**4 - 16*y. Let d(x) = 18*x**5 + 12*x**4 - 40*x. Let m(r) = 5*d(r) - 12*p(r). Find the second derivative of m(g) wrt g.\n' | b'120*g**3\n' | deepmind/math_dataset |
b'Let k = -48 - -50. Find the third derivative of -48*l**2 - 28*l**6 + 25*l**2 - 14*l**k wrt l.\n' | b'-3360*l**3\n' | b'Let k = -48 - -50. Find the third derivative of -48*l**2 - 28*l**6 + 25*l**2 - 14*l**k wrt l.\n' | b'-3360*l**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence eqec when four letters picked without replacement from {j: 2, e: 2, c: 3, q: 2}.\n' | b'1/252\n' | b'Calculate prob of sequence eqec when four letters picked without replacement from {j: 2, e: 2, c: 3, q: 2}.\n' | b'1/252\n' | deepmind/math_dataset |
b'Calculate prob of sequence xrx when three letters picked without replacement from {d: 3, x: 1, r: 4}.\n' | b'0\n' | b'Calculate prob of sequence xrx when three letters picked without replacement from {d: 3, x: 1, r: 4}.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tteoy. What is prob of picking 2 t?\n' | b'1/10\n' | b'Two letters picked without replacement from tteoy. What is prob of picking 2 t?\n' | b'1/10\n' | deepmind/math_dataset |
b'What is the second derivative of -12*z - 27*z**3 - 22*z**3 + 46*z**3 wrt z?\n' | b'-18*z\n' | b'What is the second derivative of -12*z - 27*z**3 - 22*z**3 + 46*z**3 wrt z?\n' | b'-18*z\n' | deepmind/math_dataset |
b'Let a(z) = -4*z + 5. Let d(h) = -5*h + 6. Let f(p) = -6*a(p) + 5*d(p). Calculate f(-6).\n' | b'6\n' | b'Let a(z) = -4*z + 5. Let d(h) = -5*h + 6. Let f(p) = -6*a(p) + 5*d(p). Calculate f(-6).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify ((((r/r**(2/9))/r)**(-1/6)*r**4*r/(r*r*r**(2/5)))**(1/9))**(-3/19) assuming r is positive.\n' | b'r**(-356/7695)\n' | b'Simplify ((((r/r**(2/9))/r)**(-1/6)*r**4*r/(r*r*r**(2/5)))**(1/9))**(-3/19) assuming r is positive.\n' | b'r**(-356/7695)\n' | deepmind/math_dataset |
b'Let j(y) = -4*y**3 - 2*y**2 + 3*y. Let n(h) = -4881*h**3 - 18*h**2 + 124*h. Let r(t) = -8*j(t) + n(t). Find the third derivative of r(b) wrt b.\n' | b'-29094\n' | b'Let j(y) = -4*y**3 - 2*y**2 + 3*y. Let n(h) = -4881*h**3 - 18*h**2 + 124*h. Let r(t) = -8*j(t) + n(t). Find the third derivative of r(b) wrt b.\n' | b'-29094\n' | deepmind/math_dataset |
b'Let l(s) = 12*s + 588. Let c be l(-49). Solve 3*i + 3*j = -c + 3, -2*i - j + 5 = 0 for i.\n' | b'4\n' | b'Let l(s) = 12*s + 588. Let c be l(-49). Solve 3*i + 3*j = -c + 3, -2*i - j + 5 = 0 for i.\n' | b'4\n' | deepmind/math_dataset |
b'Let g(k) = k**2 - 2*k - 2. Suppose -r + 10 = -b, 2*b = 3*r - 2*b - 35. Give g(r).\n' | b'13\n' | b'Let g(k) = k**2 - 2*k - 2. Suppose -r + 10 = -b, 2*b = 3*r - 2*b - 35. Give g(r).\n' | b'13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from dddbwddbdd. What is prob of sequence bw?\n' | b'1/45\n' | b'Two letters picked without replacement from dddbwddbdd. What is prob of sequence bw?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let u = 31 - 61. Let a be (u/(-9))/((-6)/(-9)). Let i(r) = 2*r**2 - 3*r - 4. Let o be i(3). Solve 5*n - o*c + 3 = -22, -a*c = 2*n + 10 for n.\n' | b'-5\n' | b'Let u = 31 - 61. Let a be (u/(-9))/((-6)/(-9)). Let i(r) = 2*r**2 - 3*r - 4. Let o be i(3). Solve 5*n - o*c + 3 = -22, -a*c = 2*n + 10 for n.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 5, o: 3, t: 8, y: 2, j: 1, x: 1}. Give prob of picking 2 o.\n' | b'3/190\n' | b'Two letters picked without replacement from {z: 5, o: 3, t: 8, y: 2, j: 1, x: 1}. Give prob of picking 2 o.\n' | b'3/190\n' | deepmind/math_dataset |
b'Let w = 170 + -140. Find the first derivative of w - 10*c + 17*c - 31*c - 2*c**2 wrt c.\n' | b'-4*c - 24\n' | b'Let w = 170 + -140. Find the first derivative of w - 10*c + 17*c - 31*c - 2*c**2 wrt c.\n' | b'-4*c - 24\n' | deepmind/math_dataset |
b'Let u(a) = -a**3 - 14*a**2 - 12*a + 27. Let w be u(-13). Suppose -12*l - 46 = -w*l. Solve -5*b = -n - l, -1 = 3*n + b - 12 for n.\n' | b'2\n' | b'Let u(a) = -a**3 - 14*a**2 - 12*a + 27. Let w be u(-13). Suppose -12*l - 46 = -w*l. Solve -5*b = -n - l, -1 = 3*n + b - 12 for n.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 t and 1 w when three letters picked without replacement from iziiztzzzzzwztzzzzz?\n' | b'1/969\n' | b'What is prob of picking 2 t and 1 w when three letters picked without replacement from iziiztzzzzzwztzzzzz?\n' | b'1/969\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yyssvssstvssuju. What is prob of sequence uv?\n' | b'2/105\n' | b'Two letters picked without replacement from yyssvssstvssuju. What is prob of sequence uv?\n' | b'2/105\n' | deepmind/math_dataset |
b'Let x be (-32)/(-2)*25/20. Suppose -2*u = 3*u + x. Let c(d) = d**3 + 4*d**2 - 2*d - 3. Determine c(u).\n' | b'5\n' | b'Let x be (-32)/(-2)*25/20. Suppose -2*u = 3*u + x. Let c(d) = d**3 + 4*d**2 - 2*d - 3. Determine c(u).\n' | b'5\n' | deepmind/math_dataset |
b'Let s(i) = -i**2 + 5*i + 2. Suppose -2*k = 4*t + 24, -t - 15 = -7*k + 3*k. Let l be (t/(14/(-6)))/3. Suppose 5*b + 25 = 4*f - 0*b, -b = l. Determine s(f).\n' | b'2\n' | b'Let s(i) = -i**2 + 5*i + 2. Suppose -2*k = 4*t + 24, -t - 15 = -7*k + 3*k. Let l be (t/(14/(-6)))/3. Suppose 5*b + 25 = 4*f - 0*b, -b = l. Determine s(f).\n' | b'2\n' | deepmind/math_dataset |
b'Let z(k) = 37*k + 1335. Let p be z(-36). Solve 0 = -5*w - 2*n + 11, 38*n - 42*n = p*w - 1 for w.\n' | b'3\n' | b'Let z(k) = 37*k + 1335. Let p be z(-36). Solve 0 = -5*w - 2*n + 11, 38*n - 42*n = p*w - 1 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Let g(c) = -c**2 + 7*c - 2. Let q(v) = -3*v**2 - 8*v + 5. Let u(p) = p**2 - 1. Let z(j) = -q(j) - 4*u(j). Let f(h) = -4*g(h) + 3*z(h). Give f(4).\n' | b'5\n' | b'Let g(c) = -c**2 + 7*c - 2. Let q(v) = -3*v**2 - 8*v + 5. Let u(p) = p**2 - 1. Let z(j) = -q(j) - 4*u(j). Let f(h) = -4*g(h) + 3*z(h). Give f(4).\n' | b'5\n' | deepmind/math_dataset |
b'Let v = 607 + -598. Solve 0 = 4*f, -3*o + 3*f - 8*f = v for o.\n' | b'-3\n' | b'Let v = 607 + -598. Solve 0 = 4*f, -3*o + 3*f - 8*f = v for o.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oowbowwwmowsoo. What is prob of sequence os?\n' | b'3/91\n' | b'Two letters picked without replacement from oowbowwwmowsoo. What is prob of sequence os?\n' | b'3/91\n' | deepmind/math_dataset |
b'Let v(u) = u**4 + u**3 + u**2 - u + 2. Let g(k) = 12*k**4 + 2*k**3 + 2*k**2 - 3*k - 4. Let r(w) = 3*g(w) - 6*v(w). What is the derivative of r(t) wrt t?\n' | b'120*t**3 - 3\n' | b'Let v(u) = u**4 + u**3 + u**2 - u + 2. Let g(k) = 12*k**4 + 2*k**3 + 2*k**2 - 3*k - 4. Let r(w) = 3*g(w) - 6*v(w). What is the derivative of r(t) wrt t?\n' | b'120*t**3 - 3\n' | deepmind/math_dataset |
b'Let v(x) = x**3 + x**2 + 1. Let k(o) = -7*o**3 - 6*o**2 + 10*o - 6. Let z(r) = k(r) + 6*v(r). Find the second derivative of z(p) wrt p.\n' | b'-6*p\n' | b'Let v(x) = x**3 + x**2 + 1. Let k(o) = -7*o**3 - 6*o**2 + 10*o - 6. Let z(r) = k(r) + 6*v(r). Find the second derivative of z(p) wrt p.\n' | b'-6*p\n' | deepmind/math_dataset |
b'Let x(t) = 7*t - 8. Let f be x(1). Let g(h) = 7*h**3 + 2*h**2 + 2*h + 1. Determine g(f).\n' | b'-6\n' | b'Let x(t) = 7*t - 8. Let f be x(1). Let g(h) = 7*h**3 + 2*h**2 + 2*h + 1. Determine g(f).\n' | b'-6\n' | deepmind/math_dataset |
b'Let y(p) be the third derivative of p**9/5040 + p**6/720 - p**4/8 - 3*p**2. Let s(m) be the second derivative of y(m). Find the second derivative of s(t) wrt t.\n' | b'36*t**2\n' | b'Let y(p) be the third derivative of p**9/5040 + p**6/720 - p**4/8 - 3*p**2. Let s(m) be the second derivative of y(m). Find the second derivative of s(t) wrt t.\n' | b'36*t**2\n' | deepmind/math_dataset |
b'Suppose 45 = -4*u - 15. Let v = 0 - u. Differentiate -v + 4*c**2 - 6 + 12 with respect to c.\n' | b'8*c\n' | b'Suppose 45 = -4*u - 15. Let v = 0 - u. Differentiate -v + 4*c**2 - 6 + 12 with respect to c.\n' | b'8*c\n' | deepmind/math_dataset |
b'Simplify ((p**(-2/3))**(1/6)/(p**(-10))**(-2/7))**(-9) assuming p is positive.\n' | b'p**(187/7)\n' | b'Simplify ((p**(-2/3))**(1/6)/(p**(-10))**(-2/7))**(-9) assuming p is positive.\n' | b'p**(187/7)\n' | deepmind/math_dataset |
b'Let j(v) = -v + 3. Let n be j(-9). Let r = n - 12. Solve 0*l - 15 = -5*l - 5*f, -2*l + 5*f + 13 = r for l.\n' | b'4\n' | b'Let j(v) = -v + 3. Let n be j(-9). Let r = n - 12. Solve 0*l - 15 = -5*l - 5*f, -2*l + 5*f + 13 = r for l.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m, 1 d, and 1 s when three letters picked without replacement from pdmsymr.\n' | b'2/35\n' | b'Calculate prob of picking 1 m, 1 d, and 1 s when three letters picked without replacement from pdmsymr.\n' | b'2/35\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {u: 2, l: 3, b: 4, d: 1, o: 1}. What is prob of sequence udo?\n' | b'1/495\n' | b'Three letters picked without replacement from {u: 2, l: 3, b: 4, d: 1, o: 1}. What is prob of sequence udo?\n' | b'1/495\n' | deepmind/math_dataset |
b'Suppose -v + 2 + 12 = 0. Let m = 16 - v. Let q(x) = x**3 - 7*x**2 + 8*x + 1. Let u be q(6). Solve -y + 16 = 3*n, m*y + 2*n - 3 = u for y.\n' | b'4\n' | b'Suppose -v + 2 + 12 = 0. Let m = 16 - v. Let q(x) = x**3 - 7*x**2 + 8*x + 1. Let u be q(6). Solve -y + 16 = 3*n, m*y + 2*n - 3 = u for y.\n' | b'4\n' | deepmind/math_dataset |
b'Let w(g) = g**2 - 9*g + 11. Suppose -8 - 22 = 2*m - 2*y, 3*y + 30 = -2*m. Let i be (-2 + m/(-6))*16. What is w(i)?\n' | b'3\n' | b'Let w(g) = g**2 - 9*g + 11. Suppose -8 - 22 = 2*m - 2*y, 3*y + 30 = -2*m. Let i be (-2 + m/(-6))*16. What is w(i)?\n' | b'3\n' | deepmind/math_dataset |
b'Let g(y) be the first derivative of y**2/2 + 2*y + 136. Let l be g(-6). Let x(t) = -6*t + 2. Let i(z) = -5*z + 2. Let j(o) = 4*i(o) - 3*x(o). Determine j(l).\n' | b'10\n' | b'Let g(y) be the first derivative of y**2/2 + 2*y + 136. Let l be g(-6). Let x(t) = -6*t + 2. Let i(z) = -5*z + 2. Let j(o) = 4*i(o) - 3*x(o). Determine j(l).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify (l**(-2/5))**(-11/4)*l*l*l**(-1/5)*l**(-2) assuming l is positive.\n' | b'l**(9/10)\n' | b'Simplify (l**(-2/5))**(-11/4)*l*l*l**(-1/5)*l**(-2) assuming l is positive.\n' | b'l**(9/10)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, g: 2, f: 1, a: 1, x: 1, v: 1}. Give prob of sequence gg.\n' | b'1/21\n' | b'Two letters picked without replacement from {n: 1, g: 2, f: 1, a: 1, x: 1, v: 1}. Give prob of sequence gg.\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify (((((g*g*g**(-10))/g)/g)/((g**(-22)*g)/g))/(g**(-10)*g)**(-36))**(-2/85) assuming g is positive.\n' | b'g**(624/85)\n' | b'Simplify (((((g*g*g**(-10))/g)/g)/((g**(-22)*g)/g))/(g**(-10)*g)**(-36))**(-2/85) assuming g is positive.\n' | b'g**(624/85)\n' | deepmind/math_dataset |
b'Let b(k) be the first derivative of -k**4/4 - 2*k**3/3 + k**2/2 - k - 54. Let u be b(-3). Solve 3*t - 11 = 8*t - 2*j, u*t + 2*j + 19 = 0 for t.\n' | b'-3\n' | b'Let b(k) be the first derivative of -k**4/4 - 2*k**3/3 + k**2/2 - k - 54. Let u be b(-3). Solve 3*t - 11 = 8*t - 2*j, u*t + 2*j + 19 = 0 for t.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 u when two letters picked without replacement from umddudlmufuumu?\n' | b'15/91\n' | b'What is prob of picking 2 u when two letters picked without replacement from umddudlmufuumu?\n' | b'15/91\n' | deepmind/math_dataset |
b'Simplify (c**(-5)*c/c**(1/14)*c*c)**(1/9) assuming c is positive.\n' | b'c**(-29/126)\n' | b'Simplify (c**(-5)*c/c**(1/14)*c*c)**(1/9) assuming c is positive.\n' | b'c**(-29/126)\n' | deepmind/math_dataset |
b'Let d(l) = -l - 1. Let s(n) be the first derivative of 3*n**2/2 + n - 4. Let k(i) = -2*d(i) - s(i). Determine k(3).\n' | b'-2\n' | b'Let d(l) = -l - 1. Let s(n) be the first derivative of 3*n**2/2 + n - 4. Let k(i) = -2*d(i) - s(i). Determine k(3).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xqeemqxnqnqn. Give prob of picking 2 n and 1 q.\n' | b'3/55\n' | b'Three letters picked without replacement from xqeemqxnqnqn. Give prob of picking 2 n and 1 q.\n' | b'3/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence vs when two letters picked without replacement from svbig.\n' | b'1/20\n' | b'Calculate prob of sequence vs when two letters picked without replacement from svbig.\n' | b'1/20\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 q and 1 r when four letters picked without replacement from rqqqrqrqrqrrqr.\n' | b'35/143\n' | b'Calculate prob of picking 3 q and 1 r when four letters picked without replacement from rqqqrqrqrqrrqr.\n' | b'35/143\n' | deepmind/math_dataset |
b'Let i be 12/18 - 24/(-18). Solve 0 = -a - 4*u - 4, 0 = -5*a + i*u + u - 20 for a.\n' | b'-4\n' | b'Let i be 12/18 - 24/(-18). Solve 0 = -a - 4*u - 4, 0 = -5*a + i*u + u - 20 for a.\n' | b'-4\n' | deepmind/math_dataset |
b'Let b(n) = -11*n - 7. Let l(j) = 10*j + 6. Let f(r) = -5*b(r) - 6*l(r). Let c be f(-1). Solve h = -2*h + c*z - 23, 3*h + 19 = 2*z for h.\n' | b'-5\n' | b'Let b(n) = -11*n - 7. Let l(j) = 10*j + 6. Let f(r) = -5*b(r) - 6*l(r). Let c be f(-1). Solve h = -2*h + c*z - 23, 3*h + 19 = 2*z for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 1 o, 1 g, and 1 m when four letters picked without replacement from gozmttgzbozb.\n' | b'8/495\n' | b'Calculate prob of picking 1 b, 1 o, 1 g, and 1 m when four letters picked without replacement from gozmttgzbozb.\n' | b'8/495\n' | deepmind/math_dataset |
b'Simplify (s**(-26))**(-30)*(s/(((s*(s**(-23/4)*s)/s)/s)/s))**(1/28) assuming s is positive.\n' | b's**(87391/112)\n' | b'Simplify (s**(-26))**(-30)*(s/(((s*(s**(-23/4)*s)/s)/s)/s))**(1/28) assuming s is positive.\n' | b's**(87391/112)\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from {x: 2, m: 1}?\n' | b'1/3\n' | b'What is prob of picking 2 x when two letters picked without replacement from {x: 2, m: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Simplify (p**(2/13)/p)**(1/51) assuming p is positive.\n' | b'p**(-11/663)\n' | b'Simplify (p**(2/13)/p)**(1/51) assuming p is positive.\n' | b'p**(-11/663)\n' | deepmind/math_dataset |
b'Find the third derivative of -8*v - 2295*v**5 + 22*v**2 + v**6 + 9*v + 2346*v**5 wrt v.\n' | b'120*v**3 + 3060*v**2\n' | b'Find the third derivative of -8*v - 2295*v**5 + 22*v**2 + v**6 + 9*v + 2346*v**5 wrt v.\n' | b'120*v**3 + 3060*v**2\n' | deepmind/math_dataset |
b'Suppose -12 = -5*j + u, -j = 14*u - 15*u. Solve -j*y + 4*h = 28, 4*y + 2*h = -16 + 8 for y.\n' | b'-4\n' | b'Suppose -12 = -5*j + u, -j = 14*u - 15*u. Solve -j*y + 4*h = 28, 4*y + 2*h = -16 + 8 for y.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence mnm when three letters picked without replacement from hnmm.\n' | b'1/12\n' | b'Calculate prob of sequence mnm when three letters picked without replacement from hnmm.\n' | b'1/12\n' | deepmind/math_dataset |
b'Suppose 0*m = 4*m - 28. What is the second derivative of 2*a**3 - m*a - a**3 - 6*a**3 wrt a?\n' | b'-30*a\n' | b'Suppose 0*m = 4*m - 28. What is the second derivative of 2*a**3 - m*a - a**3 - 6*a**3 wrt a?\n' | b'-30*a\n' | deepmind/math_dataset |
b'Let r(g) = -g - 3. Let m = 1057 + -1041. Determine r(m).\n' | b'-19\n' | b'Let r(g) = -g - 3. Let m = 1057 + -1041. Determine r(m).\n' | b'-19\n' | deepmind/math_dataset |
b'Let y(v) = -3*v + 7. Let q(i) be the first derivative of -7*i**2/2 + 14*i - 10. Let k(x) = -4*q(x) + 9*y(x). Differentiate k(f) with respect to f.\n' | b'1\n' | b'Let y(v) = -3*v + 7. Let q(i) be the first derivative of -7*i**2/2 + 14*i - 10. Let k(x) = -4*q(x) + 9*y(x). Differentiate k(f) with respect to f.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 10*l + 9*l = 1463. Find the second derivative of 3*m - l*m**4 - 5 + 3 - 11*m - 4*m**4 + 10 wrt m.\n' | b'-972*m**2\n' | b'Suppose 10*l + 9*l = 1463. Find the second derivative of 3*m - l*m**4 - 5 + 3 - 11*m - 4*m**4 + 10 wrt m.\n' | b'-972*m**2\n' | deepmind/math_dataset |
b'What is prob of sequence kki when three letters picked without replacement from ikiccufcxffkkkixf?\n' | b'3/340\n' | b'What is prob of sequence kki when three letters picked without replacement from ikiccufcxffkkkixf?\n' | b'3/340\n' | deepmind/math_dataset |
b'Let a = 21 - 14. Suppose -a*d + 20 = 6. Solve 2*n - 8 = -4*v, -d*v + 4 - 16 = 5*n for v.\n' | b'4\n' | b'Let a = 21 - 14. Suppose -a*d + 20 = 6. Solve 2*n - 8 = -4*v, -d*v + 4 - 16 = 5*n for v.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 2 m when three letters picked without replacement from {d: 3, o: 3, m: 2}.\n' | b'3/56\n' | b'Calculate prob of picking 1 d and 2 m when three letters picked without replacement from {d: 3, o: 3, m: 2}.\n' | b'3/56\n' | deepmind/math_dataset |
b'Let h be 5/(-7 - -2)*(-9 + -2). Let m(y) = y + 4. Give m(h).\n' | b'15\n' | b'Let h be 5/(-7 - -2)*(-9 + -2). Let m(y) = y + 4. Give m(h).\n' | b'15\n' | deepmind/math_dataset |
b'Let z = -76 + 284. Let n = z + -344. Let p be ((6/4)/(-1))/(102/n). Solve 0 = -3*r + 3, 4 = i - p*r + 3*r for i.\n' | b'3\n' | b'Let z = -76 + 284. Let n = z + -344. Let p be ((6/4)/(-1))/(102/n). Solve 0 = -3*r + 3, 4 = i - p*r + 3*r for i.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 5, i: 14}. Give prob of picking 3 m.\n' | b'10/969\n' | b'Three letters picked without replacement from {m: 5, i: 14}. Give prob of picking 3 m.\n' | b'10/969\n' | deepmind/math_dataset |
b'Let m(c) = -c**3 - 9*c**2 + 3. Let a be m(-9). Find the second derivative of -n**3 + n**5 + 3*n + n**a wrt n.\n' | b'20*n**3\n' | b'Let m(c) = -c**3 - 9*c**2 + 3. Let a be m(-9). Find the second derivative of -n**3 + n**5 + 3*n + n**a wrt n.\n' | b'20*n**3\n' | deepmind/math_dataset |
b'Simplify (d**(1/9)*d**(3/11))/(d*d**(-3))**49 assuming d is positive.\n' | b'd**(9740/99)\n' | b'Simplify (d**(1/9)*d**(3/11))/(d*d**(-3))**49 assuming d is positive.\n' | b'd**(9740/99)\n' | deepmind/math_dataset |
b'Let u(c) be the second derivative of -c**3/3 + 4*c**2 + 2*c. Suppose 7 = 6*h - 47. Calculate u(h).\n' | b'-10\n' | b'Let u(c) be the second derivative of -c**3/3 + 4*c**2 + 2*c. Suppose 7 = 6*h - 47. Calculate u(h).\n' | b'-10\n' | deepmind/math_dataset |
b'Let g(l) = 64*l**4 + 14*l**3 - 2029*l**2 + 48*l. Let w(p) = -p**4 + 2*p**3 + p**2 + 16*p. Let u(n) = g(n) - 3*w(n). Find the third derivative of u(d) wrt d.\n' | b'1608*d + 48\n' | b'Let g(l) = 64*l**4 + 14*l**3 - 2029*l**2 + 48*l. Let w(p) = -p**4 + 2*p**3 + p**2 + 16*p. Let u(n) = g(n) - 3*w(n). Find the third derivative of u(d) wrt d.\n' | b'1608*d + 48\n' | deepmind/math_dataset |
b'Let g(y) = -2*y + 1. Let w be g(6). Let i(t) = t. Let a(h) = -6*h - 11. Let k(n) = a(n) + 5*i(n). Let b be k(w). Solve -2*m = 2*s - 16, b*m + m = 4 for s.\n' | b'4\n' | b'Let g(y) = -2*y + 1. Let w be g(6). Let i(t) = t. Let a(h) = -6*h - 11. Let k(n) = a(n) + 5*i(n). Let b be k(w). Solve -2*m = 2*s - 16, b*m + m = 4 for s.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose -3*w = 2*o + 113, 0 = 2*w + 3*o + 59 + 18. Let h = 40 + w. Let g(p) = 4 + 3 - 5 + 2*p - h + 3*p**3. Give g(1).\n' | b'4\n' | b'Suppose -3*w = 2*o + 113, 0 = 2*w + 3*o + 59 + 18. Let h = 40 + w. Let g(p) = 4 + 3 - 5 + 2*p - h + 3*p**3. Give g(1).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e, 1 d, and 1 a when three letters picked without replacement from kdpea.\n' | b'1/10\n' | b'Calculate prob of picking 1 e, 1 d, and 1 a when three letters picked without replacement from kdpea.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let g(u) = 4*u + 1. Let z be g(1). Find the second derivative of -11*f**z - 7*f - 15*f + 8*f wrt f.\n' | b'-220*f**3\n' | b'Let g(u) = 4*u + 1. Let z be g(1). Find the second derivative of -11*f**z - 7*f - 15*f + 8*f wrt f.\n' | b'-220*f**3\n' | deepmind/math_dataset |
b'Suppose -9*p + 870 = -4*p. Let v = 249 - p. Suppose v = -u + 4*u. Solve z - 6 = 4*c - 14, 5*c - u = 5*z for z.\n' | b'-4\n' | b'Suppose -9*p + 870 = -4*p. Let v = 249 - p. Suppose v = -u + 4*u. Solve z - 6 = 4*c - 14, 5*c - u = 5*z for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Let s(j) = -2*j**2 - 3*j + 8. Let y(f) = -f**2 - f + 4. Let k(c) = 3*s(c) - 5*y(c). Let q be k(-3). Solve -4*g + 4 + 13 = 3*b, 0 = -3*b - 2*g + q for b.\n' | b'-1\n' | b'Let s(j) = -2*j**2 - 3*j + 8. Let y(f) = -f**2 - f + 4. Let k(c) = 3*s(c) - 5*y(c). Let q be k(-3). Solve -4*g + 4 + 13 = 3*b, 0 = -3*b - 2*g + q for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from avvvavagavypugavavvu. Give prob of sequence yauu.\n' | b'1/9690\n' | b'Four letters picked without replacement from avvvavagavypugavavvu. Give prob of sequence yauu.\n' | b'1/9690\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 b when two letters picked without replacement from oobbi?\n' | b'2/5\n' | b'What is prob of picking 1 o and 1 b when two letters picked without replacement from oobbi?\n' | b'2/5\n' | deepmind/math_dataset |
b'What is prob of sequence ggpg when four letters picked without replacement from pgpggpg?\n' | b'3/35\n' | b'What is prob of sequence ggpg when four letters picked without replacement from pgpggpg?\n' | b'3/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 7, d: 2, u: 7}. Give prob of sequence lu.\n' | b'49/240\n' | b'Two letters picked without replacement from {l: 7, d: 2, u: 7}. Give prob of sequence lu.\n' | b'49/240\n' | deepmind/math_dataset |
b'Let c(v) = -4*v**2 + 2*v - 1. Let m be c(-3). Let i = 50 + m. Suppose 0 = -5*u + i*u - 6. Solve -3*w + 12 - 3 = -5*q, u = -q for w.\n' | b'-2\n' | b'Let c(v) = -4*v**2 + 2*v - 1. Let m be c(-3). Let i = 50 + m. Suppose 0 = -5*u + i*u - 6. Solve -3*w + 12 - 3 = -5*q, u = -q for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((f**1*f*f)**(13/7))**(-40)*(f*f**(-6)*f**(-5)*f)**(2/63) assuming f is positive.\n' | b'f**(-1562/7)\n' | b'Simplify ((f**1*f*f)**(13/7))**(-40)*(f*f**(-6)*f**(-5)*f)**(2/63) assuming f is positive.\n' | b'f**(-1562/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 15, v: 3}. Give prob of picking 2 v.\n' | b'1/51\n' | b'Two letters picked without replacement from {d: 15, v: 3}. Give prob of picking 2 v.\n' | b'1/51\n' | deepmind/math_dataset |
b'Let d(y) be the third derivative of 0*y**5 - 5/24*y**4 + 0*y + 3*y**2 - 1/60*y**6 + 0*y**3 + 0. What is the second derivative of d(f) wrt f?\n' | b'-12*f\n' | b'Let d(y) be the third derivative of 0*y**5 - 5/24*y**4 + 0*y + 3*y**2 - 1/60*y**6 + 0*y**3 + 0. What is the second derivative of d(f) wrt f?\n' | b'-12*f\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 6, y: 2, k: 11}. What is prob of sequence yy?\n' | b'1/171\n' | b'Two letters picked without replacement from {g: 6, y: 2, k: 11}. What is prob of sequence yy?\n' | b'1/171\n' | deepmind/math_dataset |
b'Simplify (m*m/(m*(m/(m**(1/9)*m))/m))/m**8*(m**(-2/7)*m)/m*m*m**(2/3) assuming m is positive.\n' | b'm**(-284/63)\n' | b'Simplify (m*m/(m*(m/(m**(1/9)*m))/m))/m**8*(m**(-2/7)*m)/m*m*m**(2/3) assuming m is positive.\n' | b'm**(-284/63)\n' | deepmind/math_dataset |
b'Suppose 2*y - 8 = 0, 4*s - 4*y + 6*y - 12 = 0. Solve -s = x - 2*g, -g = -3*x - 3 - 5 for x.\n' | b'-3\n' | b'Suppose 2*y - 8 = 0, 4*s - 4*y + 6*y - 12 = 0. Solve -s = x - 2*g, -g = -3*x - 3 - 5 for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((r*r**(-1/4)*r)**(2/17)*r*r/r**4*r/(r*r**(-4/7)))**(1/56) assuming r is positive.\n' | b'r**(-291/13328)\n' | b'Simplify ((r*r**(-1/4)*r)**(2/17)*r*r/r**4*r/(r*r**(-4/7)))**(1/56) assuming r is positive.\n' | b'r**(-291/13328)\n' | deepmind/math_dataset |
b'Suppose 3*p = -3*m + 18, 0 = -4*p + 2*m - 7 + 1. Let v(r) = 3*r + 0*r - p - 5*r + r. Let i(f) = 7*f - 6. Let z(q) = -i(q) - 6*v(q). What is z(7)?\n' | b'5\n' | b'Suppose 3*p = -3*m + 18, 0 = -4*p + 2*m - 7 + 1. Let v(r) = 3*r + 0*r - p - 5*r + r. Let i(f) = 7*f - 6. Let z(q) = -i(q) - 6*v(q). What is z(7)?\n' | b'5\n' | deepmind/math_dataset |
b'Let y(t) be the third derivative of -7*t**5/12 + t**4/12 - 23*t**3 - 237*t**2. Find the first derivative of y(j) wrt j.\n' | b'-70*j + 2\n' | b'Let y(t) be the third derivative of -7*t**5/12 + t**4/12 - 23*t**3 - 237*t**2. Find the first derivative of y(j) wrt j.\n' | b'-70*j + 2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ncnnpnnnpn. What is prob of sequence pn?\n' | b'7/45\n' | b'Two letters picked without replacement from ncnnpnnnpn. What is prob of sequence pn?\n' | b'7/45\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 1, u: 4, c: 3, t: 2}. What is prob of picking 1 o, 2 c, and 1 t?\n' | b'1/35\n' | b'Four letters picked without replacement from {o: 1, u: 4, c: 3, t: 2}. What is prob of picking 1 o, 2 c, and 1 t?\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 3, d: 5, m: 1, k: 2, y: 8}. What is prob of picking 1 x and 1 k?\n' | b'2/57\n' | b'Two letters picked without replacement from {x: 3, d: 5, m: 1, k: 2, y: 8}. What is prob of picking 1 x and 1 k?\n' | b'2/57\n' | deepmind/math_dataset |
b'Let s = 72 - 65. What is the second derivative of -197*q + 0*q**4 + s*q**4 + 220*q wrt q?\n' | b'84*q**2\n' | b'Let s = 72 - 65. What is the second derivative of -197*q + 0*q**4 + s*q**4 + 220*q wrt q?\n' | b'84*q**2\n' | deepmind/math_dataset |
b'Let c(h) be the first derivative of -6*h + 7/3*h**3 + 2*h**2 + 3. Let o(i) = i**2 + i - 1. Let n(x) = c(x) - 6*o(x). Find the second derivative of n(f) wrt f.\n' | b'2\n' | b'Let c(h) be the first derivative of -6*h + 7/3*h**3 + 2*h**2 + 3. Let o(i) = i**2 + i - 1. Let n(x) = c(x) - 6*o(x). Find the second derivative of n(f) wrt f.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 b, 1 c, and 1 r when four letters picked without replacement from {r: 4, b: 13, c: 3}?\n' | b'312/1615\n' | b'What is prob of picking 2 b, 1 c, and 1 r when four letters picked without replacement from {r: 4, b: 13, c: 3}?\n' | b'312/1615\n' | deepmind/math_dataset |
b'Simplify t**9/t**9*(t**(2/7)/t)**(1/56) assuming t is positive.\n' | b't**(-5/392)\n' | b'Simplify t**9/t**9*(t**(2/7)/t)**(1/56) assuming t is positive.\n' | b't**(-5/392)\n' | deepmind/math_dataset |
b'Let h(z) be the first derivative of 1/8*z**4 - 1/3*z**3 + 1 + 0*z + 3/2*z**2. Let u(y) be the second derivative of h(y). Differentiate u(j) wrt j.\n' | b'3\n' | b'Let h(z) be the first derivative of 1/8*z**4 - 1/3*z**3 + 1 + 0*z + 3/2*z**2. Let u(y) be the second derivative of h(y). Differentiate u(j) wrt j.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w, 2 i, and 1 r when four letters picked without replacement from rimrrirwr.\n' | b'5/126\n' | b'Calculate prob of picking 1 w, 2 i, and 1 r when four letters picked without replacement from rimrrirwr.\n' | b'5/126\n' | deepmind/math_dataset |
b'Let x(k) = k**2 + k + 3. Let u(y) = 5*y**2 + 9*y + 23. Let w(p) = -u(p) + 6*x(p). Determine w(6).\n' | b'13\n' | b'Let x(k) = k**2 + k + 3. Let u(y) = 5*y**2 + 9*y + 23. Let w(p) = -u(p) + 6*x(p). Determine w(6).\n' | b'13\n' | deepmind/math_dataset |
b'Simplify (k*k**(-2)*k**3/k)**26*(k**(3/7)/(k/k**(-5/3)))/(k**(1/5)/(k*k**(-1))) assuming k is positive.\n' | b'k**(2474/105)\n' | b'Simplify (k*k**(-2)*k**3/k)**26*(k**(3/7)/(k/k**(-5/3)))/(k**(1/5)/(k*k**(-1))) assuming k is positive.\n' | b'k**(2474/105)\n' | deepmind/math_dataset |
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