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 h(u) = 3*u**2 + 23*u - 21. Let i(n) = -n**2 - 8*n + 7. Let q(c) = -3*h(c) - 8*i(c). Determine q(-6).\n' | b'1\n' | b'Let h(u) = 3*u**2 + 23*u - 21. Let i(n) = -n**2 - 8*n + 7. Let q(c) = -3*h(c) - 8*i(c). Determine q(-6).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -t - 48 = 2*t. Let u be 4/t - 26/(-8). Let x = -3 + u. Solve -2*w = -8, 5*n - w - w + 3 = x for n.\n' | b'1\n' | b'Suppose -t - 48 = 2*t. Let u be 4/t - 26/(-8). Let x = -3 + u. Solve -2*w = -8, 5*n - w - w + 3 = x for n.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 c, 1 l, and 1 v when three letters picked without replacement from vvcvtvtllevl?\n' | b'3/44\n' | b'What is prob of picking 1 c, 1 l, and 1 v when three letters picked without replacement from vvcvtvtllevl?\n' | b'3/44\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from {j: 17, e: 3}?\n' | b'68/95\n' | b'What is prob of picking 2 j when two letters picked without replacement from {j: 17, e: 3}?\n' | b'68/95\n' | deepmind/math_dataset |
b'Simplify s**(2/23)/s**(-6/13)*(s/(s*s/(s/s**(1/26))))/(s**(-3)/s) assuming s is positive.\n' | b's**(2697/598)\n' | b'Simplify s**(2/23)/s**(-6/13)*(s/(s*s/(s/s**(1/26))))/(s**(-3)/s) assuming s is positive.\n' | b's**(2697/598)\n' | deepmind/math_dataset |
b'Suppose -34*y - 208 = -344. Solve 2*q - 7*q - y*x = -10, -x = -5 for q.\n' | b'-2\n' | b'Suppose -34*y - 208 = -344. Solve 2*q - 7*q - y*x = -10, -x = -5 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (i**(-8))**(-2/9) assuming i is positive.\n' | b'i**(16/9)\n' | b'Simplify (i**(-8))**(-2/9) assuming i is positive.\n' | b'i**(16/9)\n' | deepmind/math_dataset |
b'Suppose 0*z + 12 = 3*z. Suppose 0 = -x - z, -3*x = -v + 2*x + 17. Let d(l) = l**3 + 2*l**2 - 2*l - 1. Determine d(v).\n' | b'-4\n' | b'Suppose 0*z + 12 = 3*z. Suppose 0 = -x - z, -3*x = -v + 2*x + 17. Let d(l) = l**3 + 2*l**2 - 2*l - 1. Determine d(v).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 5, u: 11}. Give prob of picking 2 w.\n' | b'1/12\n' | b'Two letters picked without replacement from {w: 5, u: 11}. Give prob of picking 2 w.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let w be 8 - (1 + 5 + -3). Solve 0 = z + 5*c + 24, 12 = -z + 3*c - w*c for z.\n' | b'-4\n' | b'Let w be 8 - (1 + 5 + -3). Solve 0 = z + 5*c + 24, 12 = -z + 3*c - w*c for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify b**(-5/2)/b**(2/3) assuming b is positive.\n' | b'b**(-19/6)\n' | b'Simplify b**(-5/2)/b**(2/3) assuming b is positive.\n' | b'b**(-19/6)\n' | deepmind/math_dataset |
b'Let k(t) be the second derivative of t**6/360 - t**5/60 + t**4/6 - t**3/2 + 2*t. Let w(c) be the second derivative of k(c). Determine w(3).\n' | b'7\n' | b'Let k(t) be the second derivative of t**6/360 - t**5/60 + t**4/6 - t**3/2 + 2*t. Let w(c) be the second derivative of k(c). Determine w(3).\n' | b'7\n' | deepmind/math_dataset |
b'Let v = -2 - -4. What is the second derivative of 5 - 4*p - 5 - 2*p**v wrt p?\n' | b'-4\n' | b'Let v = -2 - -4. What is the second derivative of 5 - 4*p - 5 - 2*p**v wrt p?\n' | b'-4\n' | deepmind/math_dataset |
b'Let h(y) = -37*y + 3104. Let q be h(84). Let t(k) = 2*k**2 + 11*k + 11. Determine t(q).\n' | b'-1\n' | b'Let h(y) = -37*y + 3104. Let q be h(84). Let t(k) = 2*k**2 + 11*k + 11. Determine t(q).\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 5, x: 5}. Give prob of sequence llll.\n' | b'1/42\n' | b'Four letters picked without replacement from {l: 5, x: 5}. Give prob of sequence llll.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let n(f) = -6*f + 10. Let r(y) = -y. Let k(d) = -n(d) + 5*r(d). Give k(8).\n' | b'-2\n' | b'Let n(f) = -6*f + 10. Let r(y) = -y. Let k(d) = -n(d) + 5*r(d). Give k(8).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 p when two letters picked without replacement from {p: 4}.\n' | b'1\n' | b'Calculate prob of picking 2 p when two letters picked without replacement from {p: 4}.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 3, k: 10, h: 3, l: 2}. What is prob of picking 2 l and 2 z?\n' | b'1/1020\n' | b'Four letters picked without replacement from {z: 3, k: 10, h: 3, l: 2}. What is prob of picking 2 l and 2 z?\n' | b'1/1020\n' | deepmind/math_dataset |
b'Let h(o) be the first derivative of -o**2/2 - 6*o - 98. What is h(5)?\n' | b'-11\n' | b'Let h(o) be the first derivative of -o**2/2 - 6*o - 98. What is h(5)?\n' | b'-11\n' | deepmind/math_dataset |
b'Let a = 8 + -6. What is the third derivative of 0*f**a + 11 + f**2 - 11 + 6*f**3 wrt f?\n' | b'36\n' | b'Let a = 8 + -6. What is the third derivative of 0*f**a + 11 + f**2 - 11 + 6*f**3 wrt f?\n' | b'36\n' | deepmind/math_dataset |
b'Suppose -77*s - 3250 = -7947. Solve -s*d + 63*d + 3*r = 11, -5*r + 11 = -4*d for d.\n' | b'1\n' | b'Suppose -77*s - 3250 = -7947. Solve -s*d + 63*d + 3*r = 11, -5*r + 11 = -4*d for d.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence ptrj when four letters picked without replacement from {t: 5, j: 1, z: 2, r: 5, h: 2, p: 2}?\n' | b'5/5712\n' | b'What is prob of sequence ptrj when four letters picked without replacement from {t: 5, j: 1, z: 2, r: 5, h: 2, p: 2}?\n' | b'5/5712\n' | deepmind/math_dataset |
b'Let y(a) = 8*a + 875 + 778 + 103*a**2 - 1747. Let d(x) = 206*x**2 + 14*x - 189. Let w(v) = -4*d(v) + 7*y(v). What is the first derivative of w(g) wrt g?\n' | b'-206*g\n' | b'Let y(a) = 8*a + 875 + 778 + 103*a**2 - 1747. Let d(x) = 206*x**2 + 14*x - 189. Let w(v) = -4*d(v) + 7*y(v). What is the first derivative of w(g) wrt g?\n' | b'-206*g\n' | deepmind/math_dataset |
b'Let i(q) be the second derivative of q**5/20 + 5*q**4/12 - 7*q**3/3 - 2*q**2 + 9*q - 35. Calculate i(-7).\n' | b'-4\n' | b'Let i(q) be the second derivative of q**5/20 + 5*q**4/12 - 7*q**3/3 - 2*q**2 + 9*q - 35. Calculate i(-7).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 v and 3 n when four letters picked without replacement from vbnvnbnvbbv.\n' | b'2/165\n' | b'Calculate prob of picking 1 v and 3 n when four letters picked without replacement from vbnvnbnvbbv.\n' | b'2/165\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooroorooooororor. What is prob of sequence oooo?\n' | b'33/182\n' | b'Four letters picked without replacement from ooroorooooororor. What is prob of sequence oooo?\n' | b'33/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from kvkkecekvwvkkvfefk. Give prob of picking 1 v, 1 e, and 1 f.\n' | b'1/34\n' | b'Three letters picked without replacement from kvkkecekvwvkkvfefk. Give prob of picking 1 v, 1 e, and 1 f.\n' | b'1/34\n' | deepmind/math_dataset |
b'What is prob of picking 1 q, 1 b, and 1 a when three letters picked without replacement from bqbeqjua?\n' | b'1/14\n' | b'What is prob of picking 1 q, 1 b, and 1 a when three letters picked without replacement from bqbeqjua?\n' | b'1/14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 7, k: 6, t: 4}. What is prob of sequence kyk?\n' | b'7/136\n' | b'Three letters picked without replacement from {y: 7, k: 6, t: 4}. What is prob of sequence kyk?\n' | b'7/136\n' | deepmind/math_dataset |
b'Let v be ((-2)/(-2))/(99/18 + -5). Let b be (3/v - 2) + 26/4. Find the second derivative of -6*l**2 + 21*l**3 - 3*l + 5*l + b*l**2 wrt l.\n' | b'126*l\n' | b'Let v be ((-2)/(-2))/(99/18 + -5). Let b be (3/v - 2) + 26/4. Find the second derivative of -6*l**2 + 21*l**3 - 3*l + 5*l + b*l**2 wrt l.\n' | b'126*l\n' | deepmind/math_dataset |
b'Let k(n) be the first derivative of -n**4/4 - n**3/3 - n**2 + n - 5830. Suppose -2*f - 3 = 1. Give k(f).\n' | b'9\n' | b'Let k(n) be the first derivative of -n**4/4 - n**3/3 - n**2 + n - 5830. Suppose -2*f - 3 = 1. Give k(f).\n' | b'9\n' | deepmind/math_dataset |
b'Differentiate -62 + 127 + 7805*n + 64 - 7879*n with respect to n.\n' | b'-74\n' | b'Differentiate -62 + 127 + 7805*n + 64 - 7879*n with respect to n.\n' | b'-74\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 r when two letters picked without replacement from ryyspsyrysrsysysd?\n' | b'9/68\n' | b'What is prob of picking 1 s and 1 r when two letters picked without replacement from ryyspsyrysrsysysd?\n' | b'9/68\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 5, o: 1, b: 1, q: 3, e: 1}. What is prob of sequence owow?\n' | b'0\n' | b'Four letters picked without replacement from {w: 5, o: 1, b: 1, q: 3, e: 1}. What is prob of sequence owow?\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((w/w**(-5/3)*w*w)/w**(-1))/((w/w**(2/7))/w)**(4/15) assuming w is positive.\n' | b'w**(201/35)\n' | b'Simplify ((w/w**(-5/3)*w*w)/w**(-1))/((w/w**(2/7))/w)**(4/15) assuming w is positive.\n' | b'w**(201/35)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ppvppappppapappp. Give prob of sequence ppaa.\n' | b'33/1820\n' | b'Four letters picked without replacement from ppvppappppapappp. Give prob of sequence ppaa.\n' | b'33/1820\n' | deepmind/math_dataset |
b'Let c(j) = j**3 + 7*j**2 + 7*j + 8. Let b be c(-6). What is the third derivative of 6*p**2 + b*p**3 - 105 + 0*p**3 + 105 wrt p?\n' | b'12\n' | b'Let c(j) = j**3 + 7*j**2 + 7*j + 8. Let b be c(-6). What is the third derivative of 6*p**2 + b*p**3 - 105 + 0*p**3 + 105 wrt p?\n' | b'12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yrrryiuryyyerr. Give prob of picking 1 y and 1 i.\n' | b'5/91\n' | b'Two letters picked without replacement from yrrryiuryyyerr. Give prob of picking 1 y and 1 i.\n' | b'5/91\n' | deepmind/math_dataset |
b'Simplify ((x**(10/9))**22)**(-19/6) assuming x is positive.\n' | b'x**(-2090/27)\n' | b'Simplify ((x**(10/9))**22)**(-19/6) assuming x is positive.\n' | b'x**(-2090/27)\n' | deepmind/math_dataset |
b'Suppose 5*n = 2*n - 4*s + 127, -4*n - s + 178 = 0. Suppose 4*w + 13 - n = 0. Let o(k) = 2 - w*k**2 - 3 - k**2 + 3*k**2. Calculate o(1).\n' | b'-7\n' | b'Suppose 5*n = 2*n - 4*s + 127, -4*n - s + 178 = 0. Suppose 4*w + 13 - n = 0. Let o(k) = 2 - w*k**2 - 3 - k**2 + 3*k**2. Calculate o(1).\n' | b'-7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wnnwnnwnwwwnnwnwwnn. What is prob of sequence nwwn?\n' | b'45/646\n' | b'Four letters picked without replacement from wnnwnnwnwwwnnwnwwnn. What is prob of sequence nwwn?\n' | b'45/646\n' | deepmind/math_dataset |
b'Let y(x) = x**3 - 10*x**2 + 2*x - 18. Let n be y(10). Solve -2*d = 4*a + 30, -n*d = 5*a + 28 + 7 for a.\n' | b'-5\n' | b'Let y(x) = x**3 - 10*x**2 + 2*x - 18. Let n be y(10). Solve -2*d = 4*a + 30, -n*d = 5*a + 28 + 7 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (n**(-28)/n*n)/(n*n/(n**(-11)/n))*n*(n*n**(-6)*n*n)/n*n*n**(18/7) assuming n is positive.\n' | b'n**(-290/7)\n' | b'Simplify (n**(-28)/n*n)/(n*n/(n**(-11)/n))*n*(n*n**(-6)*n*n)/n*n*n**(18/7) assuming n is positive.\n' | b'n**(-290/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, v: 1, a: 2, o: 1, r: 1}. What is prob of picking 2 z?\n' | b'1/21\n' | b'Two letters picked without replacement from {z: 2, v: 1, a: 2, o: 1, r: 1}. What is prob of picking 2 z?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let w(h) = -h - 7. Let q be w(-10). Suppose -q*k = k - 116. Suppose 4*l - 3*b + k = 0, b + 2 = -4*l - 15. Let i(m) = m**2 + 7*m + 7. What is i(l)?\n' | b'-3\n' | b'Let w(h) = -h - 7. Let q be w(-10). Suppose -q*k = k - 116. Suppose 4*l - 3*b + k = 0, b + 2 = -4*l - 15. Let i(m) = m**2 + 7*m + 7. What is i(l)?\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((h/(h/h**(9/2)))/h)/(h*h**(-3/4)*h))/(h**(29/5))**13 assuming h is positive.\n' | b'h**(-1463/20)\n' | b'Simplify (((h/(h/h**(9/2)))/h)/(h*h**(-3/4)*h))/(h**(29/5))**13 assuming h is positive.\n' | b'h**(-1463/20)\n' | deepmind/math_dataset |
b'Let w = 86925 - 86922. Let y = 7 + -7. Let n be 2 + (-2 - -1 - -1). Solve -15 = 4*a - w*m, -3*a - 2*m - n - 5 = y for a.\n' | b'-3\n' | b'Let w = 86925 - 86922. Let y = 7 + -7. Let n be 2 + (-2 - -1 - -1). Solve -15 = 4*a - w*m, -3*a - 2*m - n - 5 = y for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (((h*h*(h*h**1)/h*h)/h)**(1/5)/(h**(6/5)*h**(4/3)))/(h**(-4)*h*h/(h*h**5*h)*h/h**(1/3)*h/(h/h**3)) assuming h is positive.\n' | b'h**(17/5)\n' | b'Simplify (((h*h*(h*h**1)/h*h)/h)**(1/5)/(h**(6/5)*h**(4/3)))/(h**(-4)*h*h/(h*h**5*h)*h/h**(1/3)*h/(h/h**3)) assuming h is positive.\n' | b'h**(17/5)\n' | deepmind/math_dataset |
b'Simplify (a**(8/7)*a**(-2))**(-28) assuming a is positive.\n' | b'a**24\n' | b'Simplify (a**(8/7)*a**(-2))**(-28) assuming a is positive.\n' | b'a**24\n' | deepmind/math_dataset |
b'Suppose -18 = 2*x + x. Suppose -3*l = 30 - 3. Let g = x - l. Solve 5*z - 5 = -3*w, -4*z = -0*w + g*w - 7 for w.\n' | b'5\n' | b'Suppose -18 = 2*x + x. Suppose -3*l = 30 - 3. Let g = x - l. Solve 5*z - 5 = -3*w, -4*z = -0*w + g*w - 7 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vbqbfjzj. What is prob of sequence jjq?\n' | b'1/168\n' | b'Three letters picked without replacement from vbqbfjzj. What is prob of sequence jjq?\n' | b'1/168\n' | deepmind/math_dataset |
b'What is prob of sequence xj when two letters picked without replacement from xjx?\n' | b'1/3\n' | b'What is prob of sequence xj when two letters picked without replacement from xjx?\n' | b'1/3\n' | deepmind/math_dataset |
b'Suppose 8*z = 3*z + 35. Let r = -2 - -7. Solve -r*w + 3 = -6*s + 2*s, 4*s + z = w for w.\n' | b'-1\n' | b'Suppose 8*z = 3*z + 35. Let r = -2 - -7. Solve -r*w + 3 = -6*s + 2*s, 4*s + z = w for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Let j be 36/30*5/(-2). Let l(h) = -h + 2. What is l(j)?\n' | b'5\n' | b'Let j be 36/30*5/(-2). Let l(h) = -h + 2. What is l(j)?\n' | b'5\n' | deepmind/math_dataset |
b'Let b(w) = 2*w**2 - w. Let n(m) = 3*m**2 - 2*m. Let a(d) = 6*b(d) - 3*n(d). Suppose 6*v - 34 + 40 = 0. Give a(v).\n' | b'3\n' | b'Let b(w) = 2*w**2 - w. Let n(m) = 3*m**2 - 2*m. Let a(d) = 6*b(d) - 3*n(d). Suppose 6*v - 34 + 40 = 0. Give a(v).\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 p when two letters picked without replacement from {a: 3, x: 1, p: 2, n: 2, o: 3, y: 7}?\n' | b'4/153\n' | b'What is prob of picking 1 n and 1 p when two letters picked without replacement from {a: 3, x: 1, p: 2, n: 2, o: 3, y: 7}?\n' | b'4/153\n' | deepmind/math_dataset |
b'Calculate prob of sequence nn when two letters picked without replacement from nnnccnnnnnnn.\n' | b'15/22\n' | b'Calculate prob of sequence nn when two letters picked without replacement from nnnccnnnnnnn.\n' | b'15/22\n' | deepmind/math_dataset |
b'Let m be 0 + 1 + (4 + 4)/4. Let z be (1/m)/(4/48). Solve 0*h + 6 = 3*h + y, -z*y = 5*h - 17 for h.\n' | b'1\n' | b'Let m be 0 + 1 + (4 + 4)/4. Let z be (1/m)/(4/48). Solve 0*h + 6 = 3*h + y, -z*y = 5*h - 17 for h.\n' | b'1\n' | deepmind/math_dataset |
b'Find the second derivative of 666*y**2 + 664*y - 1342*y**2 + 104*y**5 + 674*y**2 wrt y.\n' | b'2080*y**3 - 4\n' | b'Find the second derivative of 666*y**2 + 664*y - 1342*y**2 + 104*y**5 + 674*y**2 wrt y.\n' | b'2080*y**3 - 4\n' | deepmind/math_dataset |
b'Simplify (k**(1/7)/k**(-6/13))/(((((k*k**(-2/15)*k*k*k*k)/k)/k)/k)/(k*k*k**(1/23)*k*k)) assuming k is positive.\n' | b'k**(87316/31395)\n' | b'Simplify (k**(1/7)/k**(-6/13))/(((((k*k**(-2/15)*k*k*k*k)/k)/k)/k)/(k*k*k**(1/23)*k*k)) assuming k is positive.\n' | b'k**(87316/31395)\n' | deepmind/math_dataset |
b'Let h(v) = 166*v**4 - 5*v**3 - 4*v + 163. Let i(o) = -82*o**4 + 2*o**3 + 2*o - 81. Let a(g) = -2*h(g) - 5*i(g). What is the second derivative of a(y) wrt y?\n' | b'936*y**2\n' | b'Let h(v) = 166*v**4 - 5*v**3 - 4*v + 163. Let i(o) = -82*o**4 + 2*o**3 + 2*o - 81. Let a(g) = -2*h(g) - 5*i(g). What is the second derivative of a(y) wrt y?\n' | b'936*y**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence rlf when three letters picked without replacement from {l: 1, e: 7, r: 9, f: 1}.\n' | b'1/544\n' | b'Calculate prob of sequence rlf when three letters picked without replacement from {l: 1, e: 7, r: 9, f: 1}.\n' | b'1/544\n' | deepmind/math_dataset |
b'Calculate prob of sequence xmd when three letters picked without replacement from rxrdmxyyyxx.\n' | b'2/495\n' | b'Calculate prob of sequence xmd when three letters picked without replacement from rxrdmxyyyxx.\n' | b'2/495\n' | deepmind/math_dataset |
b'Simplify (w/((w/((w/(w**(-2/9)*w))/w))/w*w)*w)**(-1/19)/(w**(-6)*w*w**(-11)) assuming w is positive.\n' | b'w**(2734/171)\n' | b'Simplify (w/((w/((w/(w**(-2/9)*w))/w))/w*w)*w)**(-1/19)/(w**(-6)*w*w**(-11)) assuming w is positive.\n' | b'w**(2734/171)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uuquuuquuuu. What is prob of picking 3 u?\n' | b'28/55\n' | b'Three letters picked without replacement from uuquuuquuuu. What is prob of picking 3 u?\n' | b'28/55\n' | deepmind/math_dataset |
b'Let m(u) = -u. Let g be m(-4). Solve -5*r = 4*t + 1, 8 = g*r + 2*t + 4 for r.\n' | b'3\n' | b'Let m(u) = -u. Let g be m(-4). Solve -5*r = 4*t + 1, 8 = g*r + 2*t + 4 for r.\n' | b'3\n' | deepmind/math_dataset |
b'Differentiate 454*g**4 - 414*g**4 + 299 + 3*g**2 + g**2 wrt g.\n' | b'160*g**3 + 8*g\n' | b'Differentiate 454*g**4 - 414*g**4 + 299 + 3*g**2 + g**2 wrt g.\n' | b'160*g**3 + 8*g\n' | deepmind/math_dataset |
b'Let t(d) be the first derivative of 0*d**4 + 0*d**2 + 0*d**5 + 18 - 1/7*d**7 + 0*d**6 - 23/3*d**3 + 0*d. What is the third derivative of t(u) wrt u?\n' | b'-120*u**3\n' | b'Let t(d) be the first derivative of 0*d**4 + 0*d**2 + 0*d**5 + 18 - 1/7*d**7 + 0*d**6 - 23/3*d**3 + 0*d. What is the third derivative of t(u) wrt u?\n' | b'-120*u**3\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 a when two letters picked without replacement from aeeeeeawaaw?\n' | b'8/55\n' | b'What is prob of picking 1 w and 1 a when two letters picked without replacement from aeeeeeawaaw?\n' | b'8/55\n' | deepmind/math_dataset |
b'Let k(y) = -y**3 + 8*y**2 - 6*y - 5. Let v be k(7). Let s be (-3)/(-7) - 18/(-7). Find the second derivative of -4*b - v*b + b**3 + s*b wrt b.\n' | b'6*b\n' | b'Let k(y) = -y**3 + 8*y**2 - 6*y - 5. Let v be k(7). Let s be (-3)/(-7) - 18/(-7). Find the second derivative of -4*b - v*b + b**3 + s*b wrt b.\n' | b'6*b\n' | deepmind/math_dataset |
b'Let v be (2 - 1 - 126/154)*11. Let g(s) be the second derivative of -1/12*s**4 + v*s**2 + 0 + 0*s**3 - 4*s. Differentiate g(m) wrt m.\n' | b'-2*m\n' | b'Let v be (2 - 1 - 126/154)*11. Let g(s) be the second derivative of -1/12*s**4 + v*s**2 + 0 + 0*s**3 - 4*s. Differentiate g(m) wrt m.\n' | b'-2*m\n' | deepmind/math_dataset |
b'Suppose 5*v - 14 = -0*w + w, 0 = -3*v + 3*w + 18. Let c(i) = -6 + i + 0*i + 3. Calculate c(v).\n' | b'-1\n' | b'Suppose 5*v - 14 = -0*w + w, 0 = -3*v + 3*w + 18. Let c(i) = -6 + i + 0*i + 3. Calculate c(v).\n' | b'-1\n' | deepmind/math_dataset |
b'Let n(a) be the first derivative of -a**3/3 - a**2/2 - 7*a - 189. Determine n(0).\n' | b'-7\n' | b'Let n(a) be the first derivative of -a**3/3 - a**2/2 - 7*a - 189. Determine n(0).\n' | b'-7\n' | deepmind/math_dataset |
b'Let r(v) = v**2 - 2. Let k be (-17)/119 - (-44)/14. Let l(a) = -10 - 10 + 23 - 2*a**2. Let g(z) = k*r(z) + 2*l(z). What is g(-2)?\n' | b'-4\n' | b'Let r(v) = v**2 - 2. Let k be (-17)/119 - (-44)/14. Let l(a) = -10 - 10 + 23 - 2*a**2. Let g(z) = k*r(z) + 2*l(z). What is g(-2)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((n**(-3)*n**(-2/7))**(-30))**(-14/9) assuming n is positive.\n' | b'n**(-460/3)\n' | b'Simplify ((n**(-3)*n**(-2/7))**(-30))**(-14/9) assuming n is positive.\n' | b'n**(-460/3)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 3, p: 1, r: 2, j: 5, n: 1}. What is prob of sequence jrij?\n' | b'1/99\n' | b'Four letters picked without replacement from {i: 3, p: 1, r: 2, j: 5, n: 1}. What is prob of sequence jrij?\n' | b'1/99\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 2, d: 1, x: 6, w: 2, q: 3}. What is prob of picking 1 x and 1 w?\n' | b'12/91\n' | b'Two letters picked without replacement from {o: 2, d: 1, x: 6, w: 2, q: 3}. What is prob of picking 1 x and 1 w?\n' | b'12/91\n' | deepmind/math_dataset |
b'Let g(x) be the third derivative of x**8/28 - 23*x**4/24 + 8*x**2. Find the second derivative of g(a) wrt a.\n' | b'240*a**3\n' | b'Let g(x) be the third derivative of x**8/28 - 23*x**4/24 + 8*x**2. Find the second derivative of g(a) wrt a.\n' | b'240*a**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 7, v: 6, u: 4, b: 1}. Give prob of sequence ukb.\n' | b'7/1224\n' | b'Three letters picked without replacement from {k: 7, v: 6, u: 4, b: 1}. Give prob of sequence ukb.\n' | b'7/1224\n' | deepmind/math_dataset |
b'What is prob of picking 2 z and 1 i when three letters picked without replacement from {i: 6, y: 5, z: 2}?\n' | b'3/143\n' | b'What is prob of picking 2 z and 1 i when three letters picked without replacement from {i: 6, y: 5, z: 2}?\n' | b'3/143\n' | deepmind/math_dataset |
b'Simplify (x/(x/x**(-25)*x))**49*(x/(x**(2/5)*x))**(-41) assuming x is positive.\n' | b'x**(-6288/5)\n' | b'Simplify (x/(x/x**(-25)*x))**49*(x/(x**(2/5)*x))**(-41) assuming x is positive.\n' | b'x**(-6288/5)\n' | deepmind/math_dataset |
b'Let g be 33 - (-1)/(-1 + 0). Suppose -g = -3*l - l. Suppose 4*c + 4*n - l = 3*c, 2*c - 3*n = 5. Solve c*m + 12 = 0, k + 3*m + m + 8 = 0 for k.\n' | b'4\n' | b'Let g be 33 - (-1)/(-1 + 0). Suppose -g = -3*l - l. Suppose 4*c + 4*n - l = 3*c, 2*c - 3*n = 5. Solve c*m + 12 = 0, k + 3*m + m + 8 = 0 for k.\n' | b'4\n' | deepmind/math_dataset |
b'Let j = -390 + 393. Let s(n) = -35*n**2 - 1 + 2*n - j*n + 67*n**2 - 33*n**2. Calculate s(-2).\n' | b'-3\n' | b'Let j = -390 + 393. Let s(n) = -35*n**2 - 1 + 2*n - j*n + 67*n**2 - 33*n**2. Calculate s(-2).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 11, o: 5, s: 1}. What is prob of sequence oyy?\n' | b'55/408\n' | b'Three letters picked without replacement from {y: 11, o: 5, s: 1}. What is prob of sequence oyy?\n' | b'55/408\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vcfdqcqt. What is prob of picking 1 q, 1 d, and 1 f?\n' | b'1/28\n' | b'Three letters picked without replacement from vcfdqcqt. What is prob of picking 1 q, 1 d, and 1 f?\n' | b'1/28\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zggggggdgggddd. What is prob of sequence dzd?\n' | b'1/182\n' | b'Three letters picked without replacement from zggggggdgggddd. What is prob of sequence dzd?\n' | b'1/182\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 2, a: 2, l: 1, o: 1}. What is prob of picking 2 a, 1 u, and 1 o?\n' | b'2/15\n' | b'Four letters picked without replacement from {u: 2, a: 2, l: 1, o: 1}. What is prob of picking 2 a, 1 u, and 1 o?\n' | b'2/15\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, u: 5, h: 2, i: 3}. What is prob of picking 1 h and 1 u?\n' | b'5/33\n' | b'Two letters picked without replacement from {n: 2, u: 5, h: 2, i: 3}. What is prob of picking 1 h and 1 u?\n' | b'5/33\n' | deepmind/math_dataset |
b'Let j(a) = 3*a**3 - 2*a**2 + a. Suppose 0 = 5*c + d - 3 + 1, 9 = -3*d. Let u be j(c). Solve 2*g = -u*w - 16, g = -3*w - 14 - 4 for w.\n' | b'-5\n' | b'Let j(a) = 3*a**3 - 2*a**2 + a. Suppose 0 = 5*c + d - 3 + 1, 9 = -3*d. Let u be j(c). Solve 2*g = -u*w - 16, g = -3*w - 14 - 4 for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b, 2 w, and 1 o when four letters picked without replacement from biwwwiwwwwroorwwiob.\n' | b'18/323\n' | b'Calculate prob of picking 1 b, 2 w, and 1 o when four letters picked without replacement from biwwwiwwwwroorwwiob.\n' | b'18/323\n' | deepmind/math_dataset |
b'Simplify (b**(3/2)/(b*(((b*b*b**(2/31)*b)/b)/b*b*b)/b))**41 assuming b is positive.\n' | b'b**(-3977/62)\n' | b'Simplify (b**(3/2)/(b*(((b*b*b**(2/31)*b)/b)/b*b*b)/b))**41 assuming b is positive.\n' | b'b**(-3977/62)\n' | deepmind/math_dataset |
b'Let j(d) = -40*d**3 - d**2 + 4*d**3 + 46*d**3 + d + 2*d**2. What is j(-1)?\n' | b'-10\n' | b'Let j(d) = -40*d**3 - d**2 + 4*d**3 + 46*d**3 + d + 2*d**2. What is j(-1)?\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose b - 3 = -7, -60 = -17*u - 2*b. Let v(r) = -r**3 + r**2 - r + 1. Let x(g) = -3*g**3 - g**2 - g - 2. Let k(z) = -4*v(z) + x(z). What is k(u)?\n' | b'-10\n' | b'Suppose b - 3 = -7, -60 = -17*u - 2*b. Let v(r) = -r**3 + r**2 - r + 1. Let x(g) = -3*g**3 - g**2 - g - 2. Let k(z) = -4*v(z) + x(z). What is k(u)?\n' | b'-10\n' | deepmind/math_dataset |
b'Let h(l) = -l**2. Let k = 4 + -6. Let o be h(k). Let f = o - -6. Solve -s + f = s, 2*z = 2*s + 2 for z.\n' | b'2\n' | b'Let h(l) = -l**2. Let k = 4 + -6. Let o be h(k). Let f = o - -6. Solve -s + f = s, 2*z = 2*s + 2 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 14 = 2*a - 4*f, 4 = -3*a + a - 5*f. Differentiate -a + 3 - 3*k**4 + 0*k**4 + 1 with respect to k.\n' | b'-12*k**3\n' | b'Suppose 14 = 2*a - 4*f, 4 = -3*a + a - 5*f. Differentiate -a + 3 - 3*k**4 + 0*k**4 + 1 with respect to k.\n' | b'-12*k**3\n' | deepmind/math_dataset |
b'Let q(f) be the second derivative of 185*f**7/42 + f**4 - f**3/3 + 2*f - 116. Find the third derivative of q(k) wrt k.\n' | b'11100*k**2\n' | b'Let q(f) be the second derivative of 185*f**7/42 + f**4 - f**3/3 + 2*f - 116. Find the third derivative of q(k) wrt k.\n' | b'11100*k**2\n' | deepmind/math_dataset |
b'Let y be (0 - -1)/(7/35). Solve -3*c + k = -5 - y, 6 = -5*c - 4*k for c.\n' | b'2\n' | b'Let y be (0 - -1)/(7/35). Solve -3*c + k = -5 - y, 6 = -5*c - 4*k for c.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((h/(h**(-18)/h))/h)/h)**29*(h**(-16))**(-4/21) assuming h is positive.\n' | b'h**(11026/21)\n' | b'Simplify (((h/(h**(-18)/h))/h)/h)**29*(h**(-16))**(-4/21) assuming h is positive.\n' | b'h**(11026/21)\n' | deepmind/math_dataset |
b'Let m be (-1581)/(-255) - 18/(-10). Solve 0 = -o + u + 1, -10*o = -m*o - 3*u for o.\n' | b'3\n' | b'Let m be (-1581)/(-255) - 18/(-10). Solve 0 = -o + u + 1, -10*o = -m*o - 3*u for o.\n' | b'3\n' | deepmind/math_dataset |
b'Let d(t) = 3*t + 1. Let u(h) = 7*h + 2. Let g(w) = -9*d(w) + 4*u(w). Suppose -2*r = -6*r. Suppose -2*n - 3*c + 5 = -3*n, -n - 3*c + 13 = r. Calculate g(n).\n' | b'3\n' | b'Let d(t) = 3*t + 1. Let u(h) = 7*h + 2. Let g(w) = -9*d(w) + 4*u(w). Suppose -2*r = -6*r. Suppose -2*n - 3*c + 5 = -3*n, -n - 3*c + 13 = r. Calculate g(n).\n' | b'3\n' | deepmind/math_dataset |
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