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'What is the third derivative of -2452*k**2 + 1934*k**3 - 5292*k**3 + 2279*k**3 wrt k?\n' | b'-6474\n' | b'What is the third derivative of -2452*k**2 + 1934*k**3 - 5292*k**3 + 2279*k**3 wrt k?\n' | b'-6474\n' | deepmind/math_dataset |
b'Simplify ((((t/t**(1/8))/t**(-8))/(((t**(-7)*t)/t)/(t*t**0)))**(-4/9))**(-49) assuming t is positive.\n' | b't**(735/2)\n' | b'Simplify ((((t/t**(1/8))/t**(-8))/(((t**(-7)*t)/t)/(t*t**0)))**(-4/9))**(-49) assuming t is positive.\n' | b't**(735/2)\n' | deepmind/math_dataset |
b'Simplify u**44/(u*u**(-2/39)*u) assuming u is positive.\n' | b'u**(1640/39)\n' | b'Simplify u**44/(u*u**(-2/39)*u) assuming u is positive.\n' | b'u**(1640/39)\n' | deepmind/math_dataset |
b'Suppose 20 = 4*b + 4*j, 7*b - 16 = 2*b - 2*j. Let t(w) = -11 + 9*w + w**b - 8 - 11 + 17 + 0*w. Let l(r) = -10*r. Let k be l(1). Give t(k).\n' | b'-3\n' | b'Suppose 20 = 4*b + 4*j, 7*b - 16 = 2*b - 2*j. Let t(w) = -11 + 9*w + w**b - 8 - 11 + 17 + 0*w. Let l(r) = -10*r. Let k be l(1). Give t(k).\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 8, f: 3}. Give prob of picking 2 g and 2 f.\n' | b'14/55\n' | b'Four letters picked without replacement from {g: 8, f: 3}. Give prob of picking 2 g and 2 f.\n' | b'14/55\n' | deepmind/math_dataset |
b'Suppose 4*n + 5*i - 26 = 3*i, 2*n = 4*i - 2. Let a = 8 - n. Solve 4*t + 8 = -5*m - 5, -m = a*t + 7 for m.\n' | b'-1\n' | b'Suppose 4*n + 5*i - 26 = 3*i, 2*n = 4*i - 2. Let a = 8 - n. Solve 4*t + 8 = -5*m - 5, -m = a*t + 7 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify r**(-2/5)/((r*r**(-12)*r)/r)*(r*r**9)/r**(-8/3) assuming r is positive.\n' | b'r**(349/15)\n' | b'Simplify r**(-2/5)/((r*r**(-12)*r)/r)*(r*r**9)/r**(-8/3) assuming r is positive.\n' | b'r**(349/15)\n' | deepmind/math_dataset |
b'Let z be 3/2*(-44)/(-6). Solve d + z = -9*y + 4*y, 0 = -5*y + 4*d - 31 for y.\n' | b'-3\n' | b'Let z be 3/2*(-44)/(-6). Solve d + z = -9*y + 4*y, 0 = -5*y + 4*d - 31 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 y and 2 p when four letters picked without replacement from hyyeypehyyehyphep?\n' | b'9/476\n' | b'What is prob of picking 2 y and 2 p when four letters picked without replacement from hyyeypehyyehyphep?\n' | b'9/476\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oofffooffo. Give prob of picking 2 f.\n' | b'2/9\n' | b'Two letters picked without replacement from oofffooffo. Give prob of picking 2 f.\n' | b'2/9\n' | deepmind/math_dataset |
b'Let n(j) = 19*j**3 - 5*j**2 + 42*j - 6. Let p(z) = 18*z**3 - 4*z**2 + 41*z - 4. Let a(b) = -2*n(b) + 3*p(b). Find the third derivative of a(d) wrt d.\n' | b'96\n' | b'Let n(j) = 19*j**3 - 5*j**2 + 42*j - 6. Let p(z) = 18*z**3 - 4*z**2 + 41*z - 4. Let a(b) = -2*n(b) + 3*p(b). Find the third derivative of a(d) wrt d.\n' | b'96\n' | deepmind/math_dataset |
b'Suppose -2*b = -4*r - 32, -28 = 2*r - b - 3*b. Let z = r - -8. Find the second derivative of -4*w**z + w**2 - 5*w + 3*w wrt w.\n' | b'-6\n' | b'Suppose -2*b = -4*r - 32, -28 = 2*r - b - 3*b. Let z = r - -8. Find the second derivative of -4*w**z + w**2 - 5*w + 3*w wrt w.\n' | b'-6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {p: 5, q: 1, m: 11}.\n' | b'55/136\n' | b'Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {p: 5, q: 1, m: 11}.\n' | b'55/136\n' | deepmind/math_dataset |
b'Let u(s) = -s**2 + s + 1. Let v(p) = 10*p**2 - 20*p - 7. Let z(d) = -14*u(d) - 2*v(d). Find the second derivative of z(c) wrt c.\n' | b'-12\n' | b'Let u(s) = -s**2 + s + 1. Let v(p) = 10*p**2 - 20*p - 7. Let z(d) = -14*u(d) - 2*v(d). Find the second derivative of z(c) wrt c.\n' | b'-12\n' | deepmind/math_dataset |
b'Let j(q) = -q**3 + q + 1. Let r(p) = 2*p**3 - 9*p**2 - 12*p + 21. Let b(d) = 3*j(d) + r(d). Determine b(-7).\n' | b'-11\n' | b'Let j(q) = -q**3 + q + 1. Let r(p) = 2*p**3 - 9*p**2 - 12*p + 21. Let b(d) = 3*j(d) + r(d). Determine b(-7).\n' | b'-11\n' | deepmind/math_dataset |
b'Let o(j) be the first derivative of -281*j**4/2 + 515*j**2 + 708. What is the second derivative of o(k) wrt k?\n' | b'-3372*k\n' | b'Let o(j) be the first derivative of -281*j**4/2 + 515*j**2 + 708. What is the second derivative of o(k) wrt k?\n' | b'-3372*k\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 8, i: 6, w: 1, z: 1}. Give prob of picking 4 i.\n' | b'3/364\n' | b'Four letters picked without replacement from {g: 8, i: 6, w: 1, z: 1}. Give prob of picking 4 i.\n' | b'3/364\n' | deepmind/math_dataset |
b'Simplify ((x**(-1)/x*x)**50)**(4/15)/(((x/x**0)/(x*x**(3/2)*x*x))/(x/((x/x**(-1))/x))**(-24/13)) assuming x is positive.\n' | b'x**(-59/6)\n' | b'Simplify ((x**(-1)/x*x)**50)**(4/15)/(((x/x**0)/(x*x**(3/2)*x*x))/(x/((x/x**(-1))/x))**(-24/13)) assuming x is positive.\n' | b'x**(-59/6)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l when two letters picked without replacement from lfiiciicfiiiijl.\n' | b'1/105\n' | b'Calculate prob of picking 2 l when two letters picked without replacement from lfiiciicfiiiijl.\n' | b'1/105\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 b and 1 j when two letters picked without replacement from bybxjbbbw.\n' | b'5/36\n' | b'Calculate prob of picking 1 b and 1 j when two letters picked without replacement from bybxjbbbw.\n' | b'5/36\n' | deepmind/math_dataset |
b'What is prob of sequence hw when two letters picked without replacement from {m: 2, h: 1, w: 1}?\n' | b'1/12\n' | b'What is prob of sequence hw when two letters picked without replacement from {m: 2, h: 1, w: 1}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Simplify (b**(-2/5)/b**(-5))/((b**(-2)*b)/b**(-3))*(b*b/(b**6*b)*b*b*b**2)**(-1/54) assuming b is positive.\n' | b'b**(707/270)\n' | b'Simplify (b**(-2/5)/b**(-5))/((b**(-2)*b)/b**(-3))*(b*b/(b**6*b)*b*b*b**2)**(-1/54) assuming b is positive.\n' | b'b**(707/270)\n' | deepmind/math_dataset |
b'Differentiate 140*s + 731*s - 46 + 17*s + 74*s with respect to s.\n' | b'962\n' | b'Differentiate 140*s + 731*s - 46 + 17*s + 74*s with respect to s.\n' | b'962\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, p: 1, s: 1, k: 1, y: 1}. Give prob of sequence yp.\n' | b'1/20\n' | b'Two letters picked without replacement from {n: 1, p: 1, s: 1, k: 1, y: 1}. Give prob of sequence yp.\n' | b'1/20\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 11, m: 5}. Give prob of sequence mmpm.\n' | b'11/728\n' | b'Four letters picked without replacement from {p: 11, m: 5}. Give prob of sequence mmpm.\n' | b'11/728\n' | deepmind/math_dataset |
b'What is prob of picking 2 i and 2 w when four letters picked without replacement from swssiiwwiwswisw?\n' | b'6/91\n' | b'What is prob of picking 2 i and 2 w when four letters picked without replacement from swssiiwwiwswisw?\n' | b'6/91\n' | deepmind/math_dataset |
b'Simplify ((d**(-3/26)/(d**(-24)/d))**4)**(19/2) assuming d is positive.\n' | b'd**(12293/13)\n' | b'Simplify ((d**(-3/26)/(d**(-24)/d))**4)**(19/2) assuming d is positive.\n' | b'd**(12293/13)\n' | deepmind/math_dataset |
b'Let t = -11 - -5. Let u be 4/t + 3/(-9). Let c(h) = 6*h**2 - h - 2. Let y(l) = 7*l**2 - 2*l - 3. Let q(j) = -4*c(j) + 3*y(j). Calculate q(u).\n' | b'-2\n' | b'Let t = -11 - -5. Let u be 4/t + 3/(-9). Let c(h) = 6*h**2 - h - 2. Let y(l) = 7*l**2 - 2*l - 3. Let q(j) = -4*c(j) + 3*y(j). Calculate q(u).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {k: 4, m: 3, c: 2}. What is prob of sequence cmc?\n' | b'1/84\n' | b'Three letters picked without replacement from {k: 4, m: 3, c: 2}. What is prob of sequence cmc?\n' | b'1/84\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 m and 1 j when three letters picked without replacement from {j: 9, m: 2}.\n' | b'3/55\n' | b'Calculate prob of picking 2 m and 1 j when three letters picked without replacement from {j: 9, m: 2}.\n' | b'3/55\n' | deepmind/math_dataset |
b'Simplify z**(-28)/z**(-15)*((z**(-14/11)/z)/z)/z**(2/11) assuming z is positive.\n' | b'z**(-181/11)\n' | b'Simplify z**(-28)/z**(-15)*((z**(-14/11)/z)/z)/z**(2/11) assuming z is positive.\n' | b'z**(-181/11)\n' | deepmind/math_dataset |
b'Simplify (h/(h/(((h**(-1/7)*h)/h*h)/h)))**(1/19)*(h*h**(-21))/h**(-19) assuming h is positive.\n' | b'h**(-134/133)\n' | b'Simplify (h/(h/(((h**(-1/7)*h)/h*h)/h)))**(1/19)*(h*h**(-21))/h**(-19) assuming h is positive.\n' | b'h**(-134/133)\n' | deepmind/math_dataset |
b'Suppose -f = -18 - 5. Let a = -13 + f. Let k be 66/15 + (-4)/a. Solve -5*j + 3*b + 13 = 0, -k*j + 6*j - 2*b = 6 for j.\n' | b'2\n' | b'Suppose -f = -18 - 5. Let a = -13 + f. Let k be 66/15 + (-4)/a. Solve -5*j + 3*b + 13 = 0, -k*j + 6*j - 2*b = 6 for j.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose 4*g = 5*g - 2*a - 6, 4*g - 2*a = 12. Solve -z = 5*x - 25, g*x = 8 + 2 for z.\n' | b'0\n' | b'Suppose 4*g = 5*g - 2*a - 6, 4*g - 2*a = 12. Solve -z = 5*x - 25, g*x = 8 + 2 for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let p be (-275)/(-11)*(-8)/(-10). Solve 3*l + p = -4*i + 6*l, 25 = -5*i + 5*l for i.\n' | b'-5\n' | b'Let p be (-275)/(-11)*(-8)/(-10). Solve 3*l + p = -4*i + 6*l, 25 = -5*i + 5*l for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(g) = 7*g - 10. Let p(u) = u - 1. Let f(o) = 6*p(o) - x(o). Let d(v) = 4*v - 17. Let h(a) = 2*d(a) + 9*f(a). Calculate h(2).\n' | b'0\n' | b'Let x(g) = 7*g - 10. Let p(u) = u - 1. Let f(o) = 6*p(o) - x(o). Let d(v) = 4*v - 17. Let h(a) = 2*d(a) + 9*f(a). Calculate h(2).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from {g: 13, s: 5}.\n' | b'26/51\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from {g: 13, s: 5}.\n' | b'26/51\n' | deepmind/math_dataset |
b'Suppose -6*a = -a + 5. Let r be 1/(a/(15/3)). Let g(l) be the second derivative of -l**4/12 - 5*l**3/6 + 2*l**2 - 34*l - 6. Give g(r).\n' | b'4\n' | b'Suppose -6*a = -a + 5. Let r be 1/(a/(15/3)). Let g(l) be the second derivative of -l**4/12 - 5*l**3/6 + 2*l**2 - 34*l - 6. Give g(r).\n' | b'4\n' | deepmind/math_dataset |
b'Let q(w) = 4*w + 2. Let o(r) = -r**3 + 10*r**2 - r + 6. Let g be o(10). Let y(f) = -5*f - 3. Let m(j) = g*y(j) - 6*q(j). What is m(1)?\n' | b'-4\n' | b'Let q(w) = 4*w + 2. Let o(r) = -r**3 + 10*r**2 - r + 6. Let g be o(10). Let y(f) = -5*f - 3. Let m(j) = g*y(j) - 6*q(j). What is m(1)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (b**(-12/17)/b)/b**(23/4) assuming b is positive.\n' | b'b**(-507/68)\n' | b'Simplify (b**(-12/17)/b)/b**(23/4) assuming b is positive.\n' | b'b**(-507/68)\n' | deepmind/math_dataset |
b'Let z(o) be the third derivative of -6*o - 46/3*o**3 - 53/20*o**5 - 1/12*o**4 + 0 + 2*o**2. What is the second derivative of z(w) wrt w?\n' | b'-318\n' | b'Let z(o) be the third derivative of -6*o - 46/3*o**3 - 53/20*o**5 - 1/12*o**4 + 0 + 2*o**2. What is the second derivative of z(w) wrt w?\n' | b'-318\n' | deepmind/math_dataset |
b'Let u(w) = -5*w + 123*w + 16 - 122*w**2 - 5. Let i(l) = 41*l**2 - 39*l - 4. Let f(y) = 11*i(y) + 4*u(y). Find the second derivative of f(h) wrt h.\n' | b'-74\n' | b'Let u(w) = -5*w + 123*w + 16 - 122*w**2 - 5. Let i(l) = 41*l**2 - 39*l - 4. Let f(y) = 11*i(y) + 4*u(y). Find the second derivative of f(h) wrt h.\n' | b'-74\n' | deepmind/math_dataset |
b'Let n be ((-2)/4)/(18/180). Let o(l) be the second derivative of l**4/12 + 5*l**3/6 - l**2/2 + l. Calculate o(n).\n' | b'-1\n' | b'Let n be ((-2)/4)/(18/180). Let o(l) be the second derivative of l**4/12 + 5*l**3/6 - l**2/2 + l. Calculate o(n).\n' | b'-1\n' | deepmind/math_dataset |
b'Let c be 2/(-8)*(-36 + 8). Suppose c*j = 2*j + 10. Suppose 4 = j*v - 2. Solve -v*d = 3*l - 9, -5*l - 2*d + d + 11 = 0 for l.\n' | b'2\n' | b'Let c be 2/(-8)*(-36 + 8). Suppose c*j = 2*j + 10. Suppose 4 = j*v - 2. Solve -v*d = 3*l - 9, -5*l - 2*d + d + 11 = 0 for l.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((d*d**(-17)*d)/d**(1/3)*(d*d**(-1/2))/d*d/(d/d**(-1/7)*d))**46 assuming d is positive.\n' | b'd**(-16399/21)\n' | b'Simplify ((d*d**(-17)*d)/d**(1/3)*(d*d**(-1/2))/d*d/(d/d**(-1/7)*d))**46 assuming d is positive.\n' | b'd**(-16399/21)\n' | deepmind/math_dataset |
b'Simplify l*l/l**(-8/13)*l**19*l**(2/21)*l/(l/(l/l**(-3))) assuming l is positive.\n' | b'l**(7019/273)\n' | b'Simplify l*l/l**(-8/13)*l**19*l**(2/21)*l/(l/(l/l**(-3))) assuming l is positive.\n' | b'l**(7019/273)\n' | deepmind/math_dataset |
b'Let w(o) = -19*o - 131. Let p be w(-7). Let t(q) = -2*q**3 + 2*q**2 - q - 3. Give t(p).\n' | b'-13\n' | b'Let w(o) = -19*o - 131. Let p be w(-7). Let t(q) = -2*q**3 + 2*q**2 - q - 3. Give t(p).\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of sequence dmr when three letters picked without replacement from {d: 1, r: 1, o: 1, m: 1, h: 1}?\n' | b'1/60\n' | b'What is prob of sequence dmr when three letters picked without replacement from {d: 1, r: 1, o: 1, m: 1, h: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
b'Let f be 5/(-2*(-2)/4). Suppose d = k + 1, -f*k - 7 = 5*d - 32. Solve p = -p + 6, 3*p - 21 = d*s for s.\n' | b'-4\n' | b'Let f be 5/(-2*(-2)/4). Suppose d = k + 1, -f*k - 7 = 5*d - 32. Solve p = -p + 6, 3*p - 21 = d*s for s.\n' | b'-4\n' | deepmind/math_dataset |
b'Let v(j) be the second derivative of -1057*j**3/2 + 3511*j**2/2 - 5041*j. Differentiate v(s) with respect to s.\n' | b'-3171\n' | b'Let v(j) be the second derivative of -1057*j**3/2 + 3511*j**2/2 - 5041*j. Differentiate v(s) with respect to s.\n' | b'-3171\n' | deepmind/math_dataset |
b'Simplify (((t*t**(-3/8)*t*t)/t**(-18/11))/(t**(7/4)/t*t*t*t*t*t*t**(-3/7)*t))**(12/13) assuming t is positive.\n' | b't**(-3807/2002)\n' | b'Simplify (((t*t**(-3/8)*t*t)/t**(-18/11))/(t**(7/4)/t*t*t*t*t*t*t**(-3/7)*t))**(12/13) assuming t is positive.\n' | b't**(-3807/2002)\n' | deepmind/math_dataset |
b'Let f(u) be the third derivative of 1271*u**6/40 - 3043*u**4/12 + 5580*u**2. Find the second derivative of f(w) wrt w.\n' | b'22878*w\n' | b'Let f(u) be the third derivative of 1271*u**6/40 - 3043*u**4/12 + 5580*u**2. Find the second derivative of f(w) wrt w.\n' | b'22878*w\n' | deepmind/math_dataset |
b'Suppose 5*t + 72 = 11*t. Let l be (-6)/(-9) - (-112)/t. Solve -c = -w + 2, -4*c + l = 2*w - 0 for w.\n' | b'3\n' | b'Suppose 5*t + 72 = 11*t. Let l be (-6)/(-9) - (-112)/t. Solve -c = -w + 2, -4*c + l = 2*w - 0 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -4*u - 16 = -x, 0 = -0*x - x + 5*u + 19. Solve -6*h + 2*h - 13 = t, 2*h = 2*t - x for t.\n' | b'-1\n' | b'Suppose -4*u - 16 = -x, 0 = -0*x - x + 5*u + 19. Solve -6*h + 2*h - 13 = t, 2*h = 2*t - x for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Let m(w) = -w**2 - 8*w + 3. Let f be m(-8). Let g(q) = 4*q**2 - 3*q - 8. Let o(c) = -9*c**2 + 6*c + 17. Let p(k) = f*o(k) + 7*g(k). Calculate p(4).\n' | b'-1\n' | b'Let m(w) = -w**2 - 8*w + 3. Let f be m(-8). Let g(q) = 4*q**2 - 3*q - 8. Let o(c) = -9*c**2 + 6*c + 17. Let p(k) = f*o(k) + 7*g(k). Calculate p(4).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (p**(-1/3)/(p/(p/(p/(p/(p**9*p*p)))))*p*p/p**2*p**(-3/2))**(7/9) assuming p is positive.\n' | b'p**(-539/54)\n' | b'Simplify (p**(-1/3)/(p/(p/(p/(p/(p**9*p*p)))))*p*p/p**2*p**(-3/2))**(7/9) assuming p is positive.\n' | b'p**(-539/54)\n' | deepmind/math_dataset |
b'Suppose 3*j - 9 = -3*s, 0 = -4*j - 0*j - s + 18. Solve -5*w - 29 = -c, -4*w - 35 = -j*c - w for c.\n' | b'4\n' | b'Suppose 3*j - 9 = -3*s, 0 = -4*j - 0*j - s + 18. Solve -5*w - 29 = -c, -4*w - 35 = -j*c - w for c.\n' | b'4\n' | deepmind/math_dataset |
b'What is the third derivative of 4*r**2 + 36 + 5*r**4 - 36 wrt r?\n' | b'120*r\n' | b'What is the third derivative of 4*r**2 + 36 + 5*r**4 - 36 wrt r?\n' | b'120*r\n' | deepmind/math_dataset |
b'Let z(p) = 2*p**2 - 5*p**2 - 1 - 2*p**2. Calculate z(1).\n' | b'-6\n' | b'Let z(p) = 2*p**2 - 5*p**2 - 1 - 2*p**2. Calculate z(1).\n' | b'-6\n' | deepmind/math_dataset |
b'Let r(n) be the second derivative of 133*n**6/15 - 69*n**3/2 + n**2/2 - 12*n + 33. Find the second derivative of r(f) wrt f.\n' | b'3192*f**2\n' | b'Let r(n) be the second derivative of 133*n**6/15 - 69*n**3/2 + n**2/2 - 12*n + 33. Find the second derivative of r(f) wrt f.\n' | b'3192*f**2\n' | deepmind/math_dataset |
b'Let g(q) = 4*q**3 - 2*q + 4*q**3 - 4*q + 0 - 7*q**3 - 6*q**2 - 5 + 0*q. Let k = 15 + -8. What is g(k)?\n' | b'2\n' | b'Let g(q) = 4*q**3 - 2*q + 4*q**3 - 4*q + 0 - 7*q**3 - 6*q**2 - 5 + 0*q. Let k = 15 + -8. What is g(k)?\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 2 v and 1 r when three letters picked without replacement from vciiicrvvcvrv?\n' | b'10/143\n' | b'What is prob of picking 2 v and 1 r when three letters picked without replacement from vciiicrvvcvrv?\n' | b'10/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 8, p: 2, y: 4}. What is prob of sequence vvv?\n' | b'2/13\n' | b'Three letters picked without replacement from {v: 8, p: 2, y: 4}. What is prob of sequence vvv?\n' | b'2/13\n' | deepmind/math_dataset |
b'What is prob of sequence jjg when three letters picked without replacement from jgj?\n' | b'1/3\n' | b'What is prob of sequence jjg when three letters picked without replacement from jgj?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let l(i) = -4*i**3 - 4. Let h(u) = 7*u**3 - u**2 - u + 8. Let r(t) = -3*h(t) - 5*l(t). Let g be r(3). Solve 0 = -v + 5*v - 4*o - 20, g*v + 4*o - 7 = 0 for v.\n' | b'3\n' | b'Let l(i) = -4*i**3 - 4. Let h(u) = 7*u**3 - u**2 - u + 8. Let r(t) = -3*h(t) - 5*l(t). Let g be r(3). Solve 0 = -v + 5*v - 4*o - 20, g*v + 4*o - 7 = 0 for v.\n' | b'3\n' | deepmind/math_dataset |
b'Let v(o) = 9*o**2 + 1. Let r be v(-1). Solve -5*w - 30 = -r, w + 10 = -2*u for u.\n' | b'-3\n' | b'Let v(o) = 9*o**2 + 1. Let r be v(-1). Solve -5*w - 30 = -r, w + 10 = -2*u for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let n = 14 - 17. Let q be -1*3 - n*30/18. Solve 6*l - q*l = -3*a + 13, 0 = a + 5*l - 8 for a.\n' | b'3\n' | b'Let n = 14 - 17. Let q be -1*3 - n*30/18. Solve 6*l - q*l = -3*a + 13, 0 = a + 5*l - 8 for a.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 1, j: 2, e: 2, k: 7, c: 6}. Give prob of picking 2 c.\n' | b'5/51\n' | b'Two letters picked without replacement from {x: 1, j: 2, e: 2, k: 7, c: 6}. Give prob of picking 2 c.\n' | b'5/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddnnlnngxnlnnd. Give prob of sequence lnd.\n' | b'1/52\n' | b'Three letters picked without replacement from ddnnlnngxnlnnd. Give prob of sequence lnd.\n' | b'1/52\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ucbbcuuuwn. Give prob of picking 2 u, 1 w, and 1 c.\n' | b'2/35\n' | b'Four letters picked without replacement from ucbbcuuuwn. Give prob of picking 2 u, 1 w, and 1 c.\n' | b'2/35\n' | deepmind/math_dataset |
b'Suppose 0 = -2*t + 4 + 2. Let j(q) = -q**3 - 6*q**2 + q + 7. Let h be j(-6). Let n = t + h. Solve 4 = -4*a - 2*s + 2, a + 11 = -n*s for a.\n' | b'1\n' | b'Suppose 0 = -2*t + 4 + 2. Let j(q) = -q**3 - 6*q**2 + q + 7. Let h be j(-6). Let n = t + h. Solve 4 = -4*a - 2*s + 2, a + 11 = -n*s for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let l be 2/(-19) - (-118)/38. Solve 0 = -2*s - 2, 3*f - l*s - 3 = -0*f for f.\n' | b'0\n' | b'Let l be 2/(-19) - (-118)/38. Solve 0 = -2*s - 2, 3*f - l*s - 3 = -0*f for f.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (g*g*g**8)**(-18) assuming g is positive.\n' | b'g**(-180)\n' | b'Simplify (g*g*g**8)**(-18) assuming g is positive.\n' | b'g**(-180)\n' | deepmind/math_dataset |
b'Let o = -26 - -26. Solve -19 = d - 3*t, o = 2*d - d - 2*t + 14 for d.\n' | b'-4\n' | b'Let o = -26 - -26. Solve -19 = d - 3*t, o = 2*d - d - 2*t + 14 for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Let f be -8 + (-1)/(2 - 3). Let h(c) be the third derivative of 1/60*c**5 + 15*c**2 + 1/4*c**4 + 0*c - 1/2*c**3 + 0. Determine h(f).\n' | b'4\n' | b'Let f be -8 + (-1)/(2 - 3). Let h(c) be the third derivative of 1/60*c**5 + 15*c**2 + 1/4*c**4 + 0*c - 1/2*c**3 + 0. Determine h(f).\n' | b'4\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 5, p: 2}. What is prob of sequence pggp?\n' | b'1/21\n' | b'Four letters picked without replacement from {g: 5, p: 2}. What is prob of sequence pggp?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let r(g) be the third derivative of -16*g**8/7 + 301*g**5/30 - 557*g**2. Find the third derivative of r(a) wrt a.\n' | b'-46080*a**2\n' | b'Let r(g) be the third derivative of -16*g**8/7 + 301*g**5/30 - 557*g**2. Find the third derivative of r(a) wrt a.\n' | b'-46080*a**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 10, p: 2, r: 6}. What is prob of sequence rg?\n' | b'10/51\n' | b'Two letters picked without replacement from {g: 10, p: 2, r: 6}. What is prob of sequence rg?\n' | b'10/51\n' | deepmind/math_dataset |
b'Simplify ((y/(y*y*y**(-7)*y))/(y*y**5))/(y**(-3)*y**(-5)) assuming y is positive.\n' | b'y**7\n' | b'Simplify ((y/(y*y*y**(-7)*y))/(y*y**5))/(y**(-3)*y**(-5)) assuming y is positive.\n' | b'y**7\n' | deepmind/math_dataset |
b'Simplify ((s**(-1/4)*s*s)/s)**(-5/9) assuming s is positive.\n' | b's**(-5/12)\n' | b'Simplify ((s**(-1/4)*s*s)/s)**(-5/9) assuming s is positive.\n' | b's**(-5/12)\n' | deepmind/math_dataset |
b'Suppose 7*v - 170 = -8*v - 125. Solve 22*u - 20*u + v*j - 23 = 0, 2*u + 4*j = 28 for u.\n' | b'4\n' | b'Suppose 7*v - 170 = -8*v - 125. Solve 22*u - 20*u + v*j - 23 = 0, 2*u + 4*j = 28 for u.\n' | b'4\n' | deepmind/math_dataset |
b'Let o be (-7 - -6 - -10) + -5. Let u(p) be the second derivative of -1/6*p**4 - 2*p + 0*p**2 - 2/3*p**3 + 0 + 1/20*p**5. Calculate u(o).\n' | b'16\n' | b'Let o be (-7 - -6 - -10) + -5. Let u(p) be the second derivative of -1/6*p**4 - 2*p + 0*p**2 - 2/3*p**3 + 0 + 1/20*p**5. Calculate u(o).\n' | b'16\n' | deepmind/math_dataset |
b'Let i(u) = -4*u**5 + 4*u + 5. Let m(t) = 3*t**5 - 4*t - 4. Let a be 2/(-5) + 22/5. Let h(k) = a*i(k) + 5*m(k). Find the second derivative of h(f) wrt f.\n' | b'-20*f**3\n' | b'Let i(u) = -4*u**5 + 4*u + 5. Let m(t) = 3*t**5 - 4*t - 4. Let a be 2/(-5) + 22/5. Let h(k) = a*i(k) + 5*m(k). Find the second derivative of h(f) wrt f.\n' | b'-20*f**3\n' | deepmind/math_dataset |
b'Let q = 63 + -63. Let j(z) = -5*z**3 + 28*z**2 + 15*z - 13. Let t be j(6). Solve q = 2*r + t*x + 2 - 4, r - 4*x = 1 for r.\n' | b'1\n' | b'Let q = 63 + -63. Let j(z) = -5*z**3 + 28*z**2 + 15*z - 13. Let t be j(6). Solve q = 2*r + t*x + 2 - 4, r - 4*x = 1 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Let y(r) = -35*r**3 - 4*r**2 - 26. Suppose -7*t - 8 = 20. Let g(i) = -36*i**3 - 5*i**2 - 23. Let c(f) = t*g(f) + 5*y(f). What is the derivative of c(m) wrt m?\n' | b'-93*m**2\n' | b'Let y(r) = -35*r**3 - 4*r**2 - 26. Suppose -7*t - 8 = 20. Let g(i) = -36*i**3 - 5*i**2 - 23. Let c(f) = t*g(f) + 5*y(f). What is the derivative of c(m) wrt m?\n' | b'-93*m**2\n' | deepmind/math_dataset |
b'Let u(y) be the third derivative of y**6/120 - y**5/60 - 11*y**3/6 - 13*y**2. Determine u(0).\n' | b'-11\n' | b'Let u(y) be the third derivative of y**6/120 - y**5/60 - 11*y**3/6 - 13*y**2. Determine u(0).\n' | b'-11\n' | deepmind/math_dataset |
b'Let z be (3 + (2 - 1))*1. Suppose -7 = z*o - 11. Let b(i) = -8*i**2 - 2*i + 1. Determine b(o).\n' | b'-9\n' | b'Let z be (3 + (2 - 1))*1. Suppose -7 = z*o - 11. Let b(i) = -8*i**2 - 2*i + 1. Determine b(o).\n' | b'-9\n' | deepmind/math_dataset |
b'Simplify ((v**(-1/8)/v*v)/v)**(-34) assuming v is positive.\n' | b'v**(153/4)\n' | b'Simplify ((v**(-1/8)/v*v)/v)**(-34) assuming v is positive.\n' | b'v**(153/4)\n' | deepmind/math_dataset |
b'Simplify i/(i*i/i**(-2/29)*i)*i*i/(i/(i*i**(-6)*i)) assuming i is positive.\n' | b'i**(-147/29)\n' | b'Simplify i/(i*i/i**(-2/29)*i)*i*i/(i/(i*i**(-6)*i)) assuming i is positive.\n' | b'i**(-147/29)\n' | deepmind/math_dataset |
b'Simplify ((h*h*((h*h/(h*((h/h**(-1))/h)/h))/h)/h)**(-25/3))**(8/17) assuming h is positive.\n' | b'h**(-200/51)\n' | b'Simplify ((h*h*((h*h/(h*((h/h**(-1))/h)/h))/h)/h)**(-25/3))**(8/17) assuming h is positive.\n' | b'h**(-200/51)\n' | deepmind/math_dataset |
b'Simplify d**(22/3)/(d*d*d*d/d**(-22)*d*d) assuming d is positive.\n' | b'd**(-62/3)\n' | b'Simplify d**(22/3)/(d*d*d*d/d**(-22)*d*d) assuming d is positive.\n' | b'd**(-62/3)\n' | deepmind/math_dataset |
b'Let z be (5/5*2)/((-3)/(-6)). Differentiate z*x + 43 - 8 + 16*x with respect to x.\n' | b'20\n' | b'Let z be (5/5*2)/((-3)/(-6)). Differentiate z*x + 43 - 8 + 16*x with respect to x.\n' | b'20\n' | deepmind/math_dataset |
b'Suppose -f = -2*k + 6, 0*k - 14 = -f - 3*k. Suppose -c = -2*c + 3. Let b(a) = 2 - a + 0*a**f + 2*a**2 - a**3 + 0*a**c. What is b(2)?\n' | b'0\n' | b'Suppose -f = -2*k + 6, 0*k - 14 = -f - 3*k. Suppose -c = -2*c + 3. Let b(a) = 2 - a + 0*a**f + 2*a**2 - a**3 + 0*a**c. What is b(2)?\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from xxyyxxx. What is prob of sequence yyx?\n' | b'1/21\n' | b'Three letters picked without replacement from xxyyxxx. What is prob of sequence yyx?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from deydr. What is prob of picking 1 r and 1 y?\n' | b'1/10\n' | b'Two letters picked without replacement from deydr. What is prob of picking 1 r and 1 y?\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of sequence ho when two letters picked without replacement from {s: 1, r: 3, h: 1, o: 1, d: 1}.\n' | b'1/42\n' | b'Calculate prob of sequence ho when two letters picked without replacement from {s: 1, r: 3, h: 1, o: 1, d: 1}.\n' | b'1/42\n' | deepmind/math_dataset |
b'Simplify (m**(-4/9)*m*(m/(m/m**(-4)))/m)**(-3/17) assuming m is positive.\n' | b'm**(40/51)\n' | b'Simplify (m**(-4/9)*m*(m/(m/m**(-4)))/m)**(-3/17) assuming m is positive.\n' | b'm**(40/51)\n' | deepmind/math_dataset |
b'Let c(y) = 2*y + 14. Let o be c(-7). Differentiate 0 + 10*x + o*x - 7 - 4*x with respect to x.\n' | b'6\n' | b'Let c(y) = 2*y + 14. Let o be c(-7). Differentiate 0 + 10*x + o*x - 7 - 4*x with respect to x.\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence kkhk when four letters picked without replacement from {k: 4, h: 2, a: 2}?\n' | b'1/35\n' | b'What is prob of sequence kkhk when four letters picked without replacement from {k: 4, h: 2, a: 2}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let h(n) = 2*n**2 + 296 - 18*n**3 + n - 296. Let t(b) = b**3 - 3*b**2 - 15*b + 44. Let g be t(3). Determine h(g).\n' | b'19\n' | b'Let h(n) = 2*n**2 + 296 - 18*n**3 + n - 296. Let t(b) = b**3 - 3*b**2 - 15*b + 44. Let g be t(3). Determine h(g).\n' | b'19\n' | deepmind/math_dataset |
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