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'Suppose b - 19 = -2*b - 5*o, -3*o = -3*b - 21. Let v be (-75)/(-9) + b/6. Let l(w) = w**3 - 9*w**2 + 7*w. What is l(v)?\n' | b'-8\n' | b'Suppose b - 19 = -2*b - 5*o, -3*o = -3*b - 21. Let v be (-75)/(-9) + b/6. Let l(w) = w**3 - 9*w**2 + 7*w. What is l(v)?\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose -53 + 74 = 2*v + 5*u, 3*v - u = 6. Let c(h) = -h**2 - 6*h - 3. Let l be c(-5). Solve -v = -3*x - 5*f - 30, 5*x + l*f + 26 = 0 for x.\n' | b'-4\n' | b'Suppose -53 + 74 = 2*v + 5*u, 3*v - u = 6. Let c(h) = -h**2 - 6*h - 3. Let l be c(-5). Solve -v = -3*x - 5*f - 30, 5*x + l*f + 26 = 0 for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -3*o = 1483*f - 1484*f + 8, 2*f - 52 = -3*o. Solve a - 13 = 4*w, -4*w - f = 5*a - 13 for a.\n' | b'1\n' | b'Suppose -3*o = 1483*f - 1484*f + 8, 2*f - 52 = -3*o. Solve a - 13 = 4*w, -4*w - f = 5*a - 13 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (v**(-5))**(-12)/(v**(9/4)/v**(11/6)) assuming v is positive.\n' | b'v**(715/12)\n' | b'Simplify (v**(-5))**(-12)/(v**(9/4)/v**(11/6)) assuming v is positive.\n' | b'v**(715/12)\n' | deepmind/math_dataset |
b'Suppose -k + 2 = -5. Solve -o + 5*l + 26 = 0, -3*o + l - k = -15 for o.\n' | b'1\n' | b'Suppose -k + 2 = -5. Solve -o + 5*l + 26 = 0, -3*o + l - k = -15 for o.\n' | b'1\n' | deepmind/math_dataset |
b'Let z(u) = 3 + 0 - u**2 + 1 - 6*u. Suppose 15 = 3*y - 6*y. Determine z(y).\n' | b'9\n' | b'Let z(u) = 3 + 0 - u**2 + 1 - 6*u. Suppose 15 = 3*y - 6*y. Determine z(y).\n' | b'9\n' | deepmind/math_dataset |
b'Let q(n) = n**3 + 0*n**2 - 10 + 4*n**2 - 2*n - n. Let w be q(-4). Find the second derivative of -10*b**2 + 11*b**5 - 11*b**2 - 12*b + 21*b**w wrt b.\n' | b'220*b**3\n' | b'Let q(n) = n**3 + 0*n**2 - 10 + 4*n**2 - 2*n - n. Let w be q(-4). Find the second derivative of -10*b**2 + 11*b**5 - 11*b**2 - 12*b + 21*b**w wrt b.\n' | b'220*b**3\n' | deepmind/math_dataset |
b'Suppose 8 = 2*i + 6. Suppose 2*j - 3*j - 3*g = -1, -4*g - 16 = -3*j. Let a(y) = y + y**2 - 3 - 4 + j*y - i. Determine a(-6).\n' | b'-2\n' | b'Suppose 8 = 2*i + 6. Suppose 2*j - 3*j - 3*g = -1, -4*g - 16 = -3*j. Let a(y) = y + y**2 - 3 - 4 + j*y - i. Determine a(-6).\n' | b'-2\n' | deepmind/math_dataset |
b'Let z be (16/(-6))/(14/(-21)). Solve -4*t + 5*b - 12 = 4*b, -4*b = -z*t - 12 for t.\n' | b'-3\n' | b'Let z be (16/(-6))/(14/(-21)). Solve -4*t + 5*b - 12 = 4*b, -4*b = -z*t - 12 for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Let r(b) = 4*b**3 - 5*b**2 - 2. Let x(g) = g**3 - g**2 - 1. Suppose 4 = -5*w - 6. Let q(z) = w*x(z) + r(z). Find the third derivative of q(a) wrt a.\n' | b'12\n' | b'Let r(b) = 4*b**3 - 5*b**2 - 2. Let x(g) = g**3 - g**2 - 1. Suppose 4 = -5*w - 6. Let q(z) = w*x(z) + r(z). Find the third derivative of q(a) wrt a.\n' | b'12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {d: 2, m: 1}. What is prob of sequence mdd?\n' | b'1/3\n' | b'Three letters picked without replacement from {d: 2, m: 1}. What is prob of sequence mdd?\n' | b'1/3\n' | deepmind/math_dataset |
b'What is prob of sequence ugd when three letters picked without replacement from uuduugull?\n' | b'5/504\n' | b'What is prob of sequence ugd when three letters picked without replacement from uuduugull?\n' | b'5/504\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 g and 2 r when three letters picked without replacement from {r: 3, e: 7, m: 5, g: 4}.\n' | b'4/323\n' | b'Calculate prob of picking 1 g and 2 r when three letters picked without replacement from {r: 3, e: 7, m: 5, g: 4}.\n' | b'4/323\n' | deepmind/math_dataset |
b'Let o(b) be the first derivative of b**7/30 + b**5/6 - 3*b**2 + 2. Let j(h) be the second derivative of o(h). Find the third derivative of j(d) wrt d.\n' | b'168*d\n' | b'Let o(b) be the first derivative of b**7/30 + b**5/6 - 3*b**2 + 2. Let j(h) be the second derivative of o(h). Find the third derivative of j(d) wrt d.\n' | b'168*d\n' | deepmind/math_dataset |
b'Let j be (-5*3/(-10))/((-6)/(-16)). Suppose -2*w - 8 = -3*w. Differentiate -11 - w*m**2 + 13 + j*m**2 wrt m.\n' | b'-8*m\n' | b'Let j be (-5*3/(-10))/((-6)/(-16)). Suppose -2*w - 8 = -3*w. Differentiate -11 - w*m**2 + 13 + j*m**2 wrt m.\n' | b'-8*m\n' | deepmind/math_dataset |
b'Suppose 4*v = v - 4*h - 11, -5*v - 2*h = -5. Let n(j) = 3*j**2 + 3*j - 3. Let t be n(-3). Let u = -9 + t. Solve v*o - u*o - 2 = -4*x, -5*x + 1 = -3*o for x.\n' | b'-1\n' | b'Suppose 4*v = v - 4*h - 11, -5*v - 2*h = -5. Let n(j) = 3*j**2 + 3*j - 3. Let t be n(-3). Let u = -9 + t. Solve v*o - u*o - 2 = -4*x, -5*x + 1 = -3*o for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (f*f*(f/f**(-16))/f)**22 assuming f is positive.\n' | b'f**396\n' | b'Simplify (f*f*(f/f**(-16))/f)**22 assuming f is positive.\n' | b'f**396\n' | deepmind/math_dataset |
b'Three letters picked without replacement from yyyybyyyyyyyyyyyyyyy. What is prob of picking 3 y?\n' | b'17/20\n' | b'Three letters picked without replacement from yyyybyyyyyyyyyyyyyyy. What is prob of picking 3 y?\n' | b'17/20\n' | deepmind/math_dataset |
b'Let g(k) be the first derivative of 283*k**4/4 + 55*k**2 - 73. Find the second derivative of g(y) wrt y.\n' | b'1698*y\n' | b'Let g(k) be the first derivative of 283*k**4/4 + 55*k**2 - 73. Find the second derivative of g(y) wrt y.\n' | b'1698*y\n' | deepmind/math_dataset |
b'Let s(m) = m**2 + 1. Let i be s(3). Solve -5*x = 5*c + i, 0*c - 2*c - 19 = 5*x for x.\n' | b'-5\n' | b'Let s(m) = m**2 + 1. Let i be s(3). Solve -5*x = 5*c + i, 0*c - 2*c - 19 = 5*x for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i be (-174)/319 - 28/(-11). Suppose -f + 5 = 2*s + i, 3*f = -5*s + 6. Solve 5*q + 37 = -s*g, 0 = 5*q - 3*g + g + 17 for q.\n' | b'-5\n' | b'Let i be (-174)/319 - 28/(-11). Suppose -f + 5 = 2*s + i, 3*f = -5*s + 6. Solve 5*q + 37 = -s*g, 0 = 5*q - 3*g + g + 17 for q.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(j) = -j**2 + 16*j - 14. Let b = -11392 - -11409. Give x(b).\n' | b'-31\n' | b'Let x(j) = -j**2 + 16*j - 14. Let b = -11392 - -11409. Give x(b).\n' | b'-31\n' | deepmind/math_dataset |
b'Let o(u) = u**3 - 9*u**2 + 17*u + 6. Suppose 4*z + 3 = b, -5*b + 3*z + 4 + 28 = 0. Calculate o(b).\n' | b'27\n' | b'Let o(u) = u**3 - 9*u**2 + 17*u + 6. Suppose 4*z + 3 = b, -5*b + 3*z + 4 + 28 = 0. Calculate o(b).\n' | b'27\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qittdqqttttt. Give prob of picking 1 d and 1 i.\n' | b'1/66\n' | b'Two letters picked without replacement from qittdqqttttt. Give prob of picking 1 d and 1 i.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let t(f) = 33*f - 84. Let c(z) = -9*z + 24. Let q(i) = 18*c(i) + 5*t(i). Determine q(-8).\n' | b'-12\n' | b'Let t(f) = 33*f - 84. Let c(z) = -9*z + 24. Let q(i) = 18*c(i) + 5*t(i). Determine q(-8).\n' | b'-12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xkffwxwxkx. Give prob of sequence wkxf.\n' | b'2/315\n' | b'Four letters picked without replacement from xkffwxwxkx. Give prob of sequence wkxf.\n' | b'2/315\n' | deepmind/math_dataset |
b'Let n(m) = -m - 2. Let d be n(-6). Let s(q) = -q**3 + 4*q**2 + q - 1. Let j be s(d). Solve 6*x - 3*x = j*b, -2*b - 3 = -x for x.\n' | b'-3\n' | b'Let n(m) = -m - 2. Let d be n(-6). Let s(q) = -q**3 + 4*q**2 + q - 1. Let j be s(d). Solve 6*x - 3*x = j*b, -2*b - 3 = -x for x.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (n*n**15)/(n*n/(n**(2/17)/n)*n*n) assuming n is positive.\n' | b'n**(189/17)\n' | b'Simplify (n*n**15)/(n*n/(n**(2/17)/n)*n*n) assuming n is positive.\n' | b'n**(189/17)\n' | deepmind/math_dataset |
b'Simplify (p**(-17)*p/p**(1/4))**(-8) assuming p is positive.\n' | b'p**130\n' | b'Simplify (p**(-17)*p/p**(1/4))**(-8) assuming p is positive.\n' | b'p**130\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 5, w: 3, p: 1, b: 4}. Give prob of sequence bbph.\n' | b'1/286\n' | b'Four letters picked without replacement from {h: 5, w: 3, p: 1, b: 4}. Give prob of sequence bbph.\n' | b'1/286\n' | deepmind/math_dataset |
b'Let o = 1097 - 1094. Solve -o*s = -4*t + 4, 5*s - 5*t - 4 = -9 for s.\n' | b'0\n' | b'Let o = 1097 - 1094. Solve -o*s = -4*t + 4, 5*s - 5*t - 4 = -9 for s.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zwzhpkkrhrhkhrw. Give prob of picking 1 p and 1 h.\n' | b'4/105\n' | b'Two letters picked without replacement from zwzhpkkrhrhkhrw. Give prob of picking 1 p and 1 h.\n' | b'4/105\n' | deepmind/math_dataset |
b'Let h(n) = 3*n**2 + 36*n + 5. Let v be h(-12). Solve 0 = 2*t - u + 4, 5*t + v*u + 10 = 3*u for t.\n' | b'-2\n' | b'Let h(n) = 3*n**2 + 36*n + 5. Let v be h(-12). Solve 0 = 2*t - u + 4, 5*t + v*u + 10 = 3*u for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let b(v) = -7*v**2 - 2*v + 4. Let l(q) = 6*q**2 + 3*q - 4. Let g(c) = 3*b(c) + 2*l(c). What is the first derivative of g(r) wrt r?\n' | b'-18*r\n' | b'Let b(v) = -7*v**2 - 2*v + 4. Let l(q) = 6*q**2 + 3*q - 4. Let g(c) = 3*b(c) + 2*l(c). What is the first derivative of g(r) wrt r?\n' | b'-18*r\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {u: 1, m: 1, b: 4, g: 2, o: 4, r: 7}. Give prob of picking 2 b.\n' | b'2/57\n' | b'Two letters picked without replacement from {u: 1, m: 1, b: 4, g: 2, o: 4, r: 7}. Give prob of picking 2 b.\n' | b'2/57\n' | deepmind/math_dataset |
b'Let v(k) = -k**2 - 7*k + 1. Let g(w) = w**3 - 2*w + 1. Let c(o) = -12*o**2 + 38*o - 3. Let d(p) = -c(p) - g(p). Let h be d(7). Give v(h).\n' | b'11\n' | b'Let v(k) = -k**2 - 7*k + 1. Let g(w) = w**3 - 2*w + 1. Let c(o) = -12*o**2 + 38*o - 3. Let d(p) = -c(p) - g(p). Let h be d(7). Give v(h).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose k + 18 = 4*k - 5*v, 5*v = 2*k - 7. Suppose -3*s = -5*h - 27 - k, 2*h = 10. Solve -3*q = 2*o + 13, 5*q + 3*o + s = -0*o for q.\n' | b'-3\n' | b'Suppose k + 18 = 4*k - 5*v, 5*v = 2*k - 7. Suppose -3*s = -5*h - 27 - k, 2*h = 10. Solve -3*q = 2*o + 13, 5*q + 3*o + s = -0*o for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 a when two letters picked without replacement from aifsbsfb.\n' | b'1/28\n' | b'Calculate prob of picking 1 i and 1 a when two letters picked without replacement from aifsbsfb.\n' | b'1/28\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 p when three letters picked without replacement from {c: 4, p: 3}.\n' | b'12/35\n' | b'Calculate prob of picking 1 c and 2 p when three letters picked without replacement from {c: 4, p: 3}.\n' | b'12/35\n' | deepmind/math_dataset |
b'Let m(r) = -809*r**2 + 660*r + 15. Let i(z) = 2424*z**2 - 1980*z - 42. Let k(d) = 5*i(d) + 14*m(d). What is the second derivative of k(s) wrt s?\n' | b'1588\n' | b'Let m(r) = -809*r**2 + 660*r + 15. Let i(z) = 2424*z**2 - 1980*z - 42. Let k(d) = 5*i(d) + 14*m(d). What is the second derivative of k(s) wrt s?\n' | b'1588\n' | deepmind/math_dataset |
b'Let m(f) be the second derivative of 222*f**6/5 + 5*f**3/2 - 19*f**2/2 + 229*f. Find the second derivative of m(w) wrt w.\n' | b'15984*w**2\n' | b'Let m(f) be the second derivative of 222*f**6/5 + 5*f**3/2 - 19*f**2/2 + 229*f. Find the second derivative of m(w) wrt w.\n' | b'15984*w**2\n' | deepmind/math_dataset |
b'Simplify (((l/(l*l**(-5/4)))/l**(-3/7))/(l*l/(l**(2/7)*l))**(-4/5))/((l*l**(2/31))/l**(-4)*l**7*l/((l*l**(2/11)/l*l)/l*l)) assuming l is positive.\n' | b'l**(-13139/1364)\n' | b'Simplify (((l/(l*l**(-5/4)))/l**(-3/7))/(l*l/(l**(2/7)*l))**(-4/5))/((l*l**(2/31))/l**(-4)*l**7*l/((l*l**(2/11)/l*l)/l*l)) assuming l is positive.\n' | b'l**(-13139/1364)\n' | deepmind/math_dataset |
b'Calculate prob of sequence qte when three letters picked without replacement from {a: 1, j: 1, q: 1, e: 1, l: 1, t: 2}.\n' | b'1/105\n' | b'Calculate prob of sequence qte when three letters picked without replacement from {a: 1, j: 1, q: 1, e: 1, l: 1, t: 2}.\n' | b'1/105\n' | deepmind/math_dataset |
b'Simplify (l**(1/19)/(l/(l/(l**(-17)*l))*l))/((l**(-12)*l*l)/(l**(-2/25)*l*l)) assuming l is positive.\n' | b'l**(12812/475)\n' | b'Simplify (l**(1/19)/(l/(l/(l**(-17)*l))*l))/((l**(-12)*l*l)/(l**(-2/25)*l*l)) assuming l is positive.\n' | b'l**(12812/475)\n' | deepmind/math_dataset |
b'Let x(i) be the third derivative of -i**5/6 - i**3 + 68*i**2. Find the first derivative of x(q) wrt q.\n' | b'-20*q\n' | b'Let x(i) be the third derivative of -i**5/6 - i**3 + 68*i**2. Find the first derivative of x(q) wrt q.\n' | b'-20*q\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 6, v: 12}. Give prob of sequence vpp.\n' | b'5/68\n' | b'Three letters picked without replacement from {p: 6, v: 12}. Give prob of sequence vpp.\n' | b'5/68\n' | deepmind/math_dataset |
b'What is prob of sequence wc when two letters picked without replacement from wwwccwwccwwcwwcwcmwc?\n' | b'22/95\n' | b'What is prob of sequence wc when two letters picked without replacement from wwwccwwccwwcwwcwcmwc?\n' | b'22/95\n' | deepmind/math_dataset |
b'Suppose 11*q - 8*q + 84 = 0. Let s = q + 33. Let h(i) = -i**3 - 5*i**2 + i + 5. Let w be h(-5). Solve 0 = n + 3*u + 1 + 1, w = -2*n + s*u + 18 for n.\n' | b'4\n' | b'Suppose 11*q - 8*q + 84 = 0. Let s = q + 33. Let h(i) = -i**3 - 5*i**2 + i + 5. Let w be h(-5). Solve 0 = n + 3*u + 1 + 1, w = -2*n + s*u + 18 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((w*w**(-1)*w)/w)**(-9)/(w*w**(27/7))**(3/10) assuming w is positive.\n' | b'w**(-51/35)\n' | b'Simplify ((w*w**(-1)*w)/w)**(-9)/(w*w**(27/7))**(3/10) assuming w is positive.\n' | b'w**(-51/35)\n' | deepmind/math_dataset |
b'Simplify ((b/(b/(b*b**(-8))*b)*b*b)**1*b**(-7)*(b**(-4/3)*b)/b*b)**(1/5) assuming b is positive.\n' | b'b**(-8/3)\n' | b'Simplify ((b/(b/(b*b**(-8))*b)*b*b)**1*b**(-7)*(b**(-4/3)*b)/b*b)**(1/5) assuming b is positive.\n' | b'b**(-8/3)\n' | deepmind/math_dataset |
b'Simplify (((j/(j/(j**(-1/2)/j)))**(-3/5)*(j/(j*j**(-7/4)))/(j*j**(-1/2)))**(2/95))**38 assuming j is positive.\n' | b'j**(43/25)\n' | b'Simplify (((j/(j/(j**(-1/2)/j)))**(-3/5)*(j/(j*j**(-7/4)))/(j*j**(-1/2)))**(2/95))**38 assuming j is positive.\n' | b'j**(43/25)\n' | deepmind/math_dataset |
b'Let y(r) = r - 1. Let a(x) = 2*x**2 - 60*x - 31. Let q be -5*(-1 - (-24)/30). Let s(k) = q*a(k) + 3*y(k). Differentiate s(v) with respect to v.\n' | b'4*v - 57\n' | b'Let y(r) = r - 1. Let a(x) = 2*x**2 - 60*x - 31. Let q be -5*(-1 - (-24)/30). Let s(k) = q*a(k) + 3*y(k). Differentiate s(v) with respect to v.\n' | b'4*v - 57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kklatalkkl. What is prob of sequence lk?\n' | b'2/15\n' | b'Two letters picked without replacement from kklatalkkl. What is prob of sequence lk?\n' | b'2/15\n' | deepmind/math_dataset |
b'Let g be (-3)/(-5) + (-2)/(-5). Let x be (g - (-10)/(-7)) + 360/105. Suppose -f = x*f. Solve t - 3*n + 11 = f, -2*t - 17 = t - 5*n for t.\n' | b'1\n' | b'Let g be (-3)/(-5) + (-2)/(-5). Let x be (g - (-10)/(-7)) + 360/105. Suppose -f = x*f. Solve t - 3*n + 11 = f, -2*t - 17 = t - 5*n for t.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((i/(i/(i**(-6)/i)*i)*i)/i)/i*i/(i/(i/(i/(i*i**(-6/7)))))*i)/(i**(2/5))**(-41) assuming i is positive.\n' | b'i**(299/35)\n' | b'Simplify (((i/(i/(i**(-6)/i)*i)*i)/i)/i*i/(i/(i/(i/(i*i**(-6/7)))))*i)/(i**(2/5))**(-41) assuming i is positive.\n' | b'i**(299/35)\n' | deepmind/math_dataset |
b'Simplify ((f/(f**(-3)/f)*f)/(f*f**(-5)))/((f**(3/4)*f)/(f*(f**(-2/11)/f)/f)) assuming f is positive.\n' | b'f**(311/44)\n' | b'Simplify ((f/(f**(-3)/f)*f)/(f*f**(-5)))/((f**(3/4)*f)/(f*(f**(-2/11)/f)/f)) assuming f is positive.\n' | b'f**(311/44)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 k and 2 n when four letters picked without replacement from {n: 2, a: 1, k: 2, o: 3, g: 2, e: 2}.\n' | b'1/495\n' | b'Calculate prob of picking 2 k and 2 n when four letters picked without replacement from {n: 2, a: 1, k: 2, o: 3, g: 2, e: 2}.\n' | b'1/495\n' | deepmind/math_dataset |
b'Simplify y*y**(-11)*y*y**(-13) assuming y is positive.\n' | b'y**(-22)\n' | b'Simplify y*y**(-11)*y*y**(-13) assuming y is positive.\n' | b'y**(-22)\n' | deepmind/math_dataset |
b'Find the third derivative of 7*t**3 + 96*t**2 + 85*t**5 - 6*t**3 - 2 - t**3 wrt t.\n' | b'5100*t**2\n' | b'Find the third derivative of 7*t**3 + 96*t**2 + 85*t**5 - 6*t**3 - 2 - t**3 wrt t.\n' | b'5100*t**2\n' | deepmind/math_dataset |
b'Let z(q) = 3*q. Let f(j) = -7*j + 1. Let p(h) = 2*f(h) + 5*z(h). Determine p(0).\n' | b'2\n' | b'Let z(q) = 3*q. Let f(j) = -7*j + 1. Let p(h) = 2*f(h) + 5*z(h). Determine p(0).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (g/(g/(g/((g**(-28)*g)/g))))/g*g**(-20/3) assuming g is positive.\n' | b'g**(64/3)\n' | b'Simplify (g/(g/(g/((g**(-28)*g)/g))))/g*g**(-20/3) assuming g is positive.\n' | b'g**(64/3)\n' | deepmind/math_dataset |
b'What is prob of sequence eeg when three letters picked without replacement from ttxgee?\n' | b'1/60\n' | b'What is prob of sequence eeg when three letters picked without replacement from ttxgee?\n' | b'1/60\n' | deepmind/math_dataset |
b'What is prob of picking 1 h, 1 r, and 2 s when four letters picked without replacement from rssharhrsf?\n' | b'3/35\n' | b'What is prob of picking 1 h, 1 r, and 2 s when four letters picked without replacement from rssharhrsf?\n' | b'3/35\n' | deepmind/math_dataset |
b'What is prob of picking 4 v when four letters picked without replacement from vvvvvbbvvvv?\n' | b'21/55\n' | b'What is prob of picking 4 v when four letters picked without replacement from vvvvvbbvvvv?\n' | b'21/55\n' | deepmind/math_dataset |
b'Let n be 1*((-4 - -3) + 1). Let r(o) be the second derivative of -1/3*o**4 + 0 + n*o**2 + 3*o - 1/6*o**3. What is r(1)?\n' | b'-5\n' | b'Let n be 1*((-4 - -3) + 1). Let r(o) be the second derivative of -1/3*o**4 + 0 + n*o**2 + 3*o - 1/6*o**3. What is r(1)?\n' | b'-5\n' | deepmind/math_dataset |
b'Let f(n) = -21*n - 6. Let z(h) = 1. Let w(d) = d + 1. Let g(a) = 4*w(a) - 3*z(a). Let l(t) = 2*f(t) + 11*g(t). Give l(3).\n' | b'5\n' | b'Let f(n) = -21*n - 6. Let z(h) = 1. Let w(d) = d + 1. Let g(a) = 4*w(a) - 3*z(a). Let l(t) = 2*f(t) + 11*g(t). Give l(3).\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence fs when two letters picked without replacement from {f: 9, s: 1, v: 1, d: 1}?\n' | b'3/44\n' | b'What is prob of sequence fs when two letters picked without replacement from {f: 9, s: 1, v: 1, d: 1}?\n' | b'3/44\n' | deepmind/math_dataset |
b'What is prob of picking 2 x and 2 a when four letters picked without replacement from xxaaxtataa?\n' | b'1/7\n' | b'What is prob of picking 2 x and 2 a when four letters picked without replacement from xxaaxtataa?\n' | b'1/7\n' | deepmind/math_dataset |
b'Let b(w) = -11*w - w**2 - 5*w - 14 + w + 0*w. Calculate b(-14).\n' | b'0\n' | b'Let b(w) = -11*w - w**2 - 5*w - 14 + w + 0*w. Calculate b(-14).\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 7, g: 4, s: 1, k: 1}. Give prob of picking 1 s and 3 g.\n' | b'4/715\n' | b'Four letters picked without replacement from {h: 7, g: 4, s: 1, k: 1}. Give prob of picking 1 s and 3 g.\n' | b'4/715\n' | deepmind/math_dataset |
b'What is prob of picking 1 z, 2 g, and 1 d when four letters picked without replacement from zszwsdgx?\n' | b'0\n' | b'What is prob of picking 1 z, 2 g, and 1 d when four letters picked without replacement from zszwsdgx?\n' | b'0\n' | deepmind/math_dataset |
b'Let k(m) = m**2 - 4*m + 3. Let w be k(4). Let h(r) = -r + 3. Let q be h(w). Solve q = -5*x - 2 - 8, -x + 13 = 5*n for n.\n' | b'3\n' | b'Let k(m) = m**2 - 4*m + 3. Let w be k(4). Let h(r) = -r + 3. Let q be h(w). Solve q = -5*x - 2 - 8, -x + 13 = 5*n for n.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((b*b*b**(4/7)*b/b**(-1))**0)**23 assuming b is positive.\n' | b'1\n' | b'Simplify ((b*b*b**(4/7)*b/b**(-1))**0)**23 assuming b is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -3*b + 3*b = b. Suppose -38*j + 13*j + 21*j = -20. Solve -2*w + b*v - 2 = 3*v, -2 = -j*w - 4*v for w.\n' | b'2\n' | b'Suppose -3*b + 3*b = b. Suppose -38*j + 13*j + 21*j = -20. Solve -2*w + b*v - 2 = 3*v, -2 = -j*w - 4*v for w.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 w and 1 f when two letters picked without replacement from uvfuuugwwvwvwuvnnwuu?\n' | b'1/38\n' | b'What is prob of picking 1 w and 1 f when two letters picked without replacement from uvfuuugwwvwvwuvnnwuu?\n' | b'1/38\n' | deepmind/math_dataset |
b'Suppose -245 = -0*t - 5*t. Let d(z) = -2*z**2 + 43*z + 23. Let v be d(23). Let f = t + v. Solve f*g = -2*w + 10, 9 = 2*w + 5*g - 1 for w.\n' | b'5\n' | b'Suppose -245 = -0*t - 5*t. Let d(z) = -2*z**2 + 43*z + 23. Let v be d(23). Let f = t + v. Solve f*g = -2*w + 10, 9 = 2*w + 5*g - 1 for w.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence ap when two letters picked without replacement from appppappppp.\n' | b'9/55\n' | b'Calculate prob of sequence ap when two letters picked without replacement from appppappppp.\n' | b'9/55\n' | deepmind/math_dataset |
b'Let s(w) = 11*w + 7 + 3 - 3. Let f(r) = -4*r - 2. Let z(h) = 8*f(h) + 3*s(h). Determine z(-4).\n' | b'1\n' | b'Let s(w) = 11*w + 7 + 3 - 3. Let f(r) = -4*r - 2. Let z(h) = 8*f(h) + 3*s(h). Determine z(-4).\n' | b'1\n' | deepmind/math_dataset |
b'Let k(w) = 2 - 5 - 2 + w. What is k(0)?\n' | b'-5\n' | b'Let k(w) = 2 - 5 - 2 + w. What is k(0)?\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 d, 1 z, and 1 a when four letters picked without replacement from {r: 1, d: 1, a: 1, z: 1, l: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 r, 1 d, 1 z, and 1 a when four letters picked without replacement from {r: 1, d: 1, a: 1, z: 1, l: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let k = -151 - -145. Let q(z) = -10*z**3 + 4*z + 4*z - 24 - 4*z + 2*z. Let h(d) = -d**3 + d - 1. Let p(r) = k*h(r) + q(r). Differentiate p(c) with respect to c.\n' | b'-12*c**2\n' | b'Let k = -151 - -145. Let q(z) = -10*z**3 + 4*z + 4*z - 24 - 4*z + 2*z. Let h(d) = -d**3 + d - 1. Let p(r) = k*h(r) + q(r). Differentiate p(c) with respect to c.\n' | b'-12*c**2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {t: 7, a: 3}. Give prob of picking 2 t and 2 a.\n' | b'3/10\n' | b'Four letters picked without replacement from {t: 7, a: 3}. Give prob of picking 2 t and 2 a.\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify a/(a**7/a)*a*a**(2/7)*(a*a**(-2/11)/a)/a*a**(-2/5) assuming a is positive.\n' | b'a**(-2039/385)\n' | b'Simplify a/(a**7/a)*a*a**(2/7)*(a*a**(-2/11)/a)/a*a**(-2/5) assuming a is positive.\n' | b'a**(-2039/385)\n' | deepmind/math_dataset |
b'Simplify ((t**(-2/17)*t**0)/((t*t**(-4/7)*t)/t**(-2)))/(t**(-3)*t*t/t**(-4/9)*t*t**(1/16)*t**(2/7)/t*t) assuming t is positive.\n' | b't**(-74351/17136)\n' | b'Simplify ((t**(-2/17)*t**0)/((t*t**(-4/7)*t)/t**(-2)))/(t**(-3)*t*t/t**(-4/9)*t*t**(1/16)*t**(2/7)/t*t) assuming t is positive.\n' | b't**(-74351/17136)\n' | deepmind/math_dataset |
b'Let q be ((-1)/4*-1)/((-5)/(-60)). Suppose -4*k + 1 = q*p - 3, p = -4. Solve -4*h = -3*f + 4 - 16, -5*h + f + k = 0 for h.\n' | b'0\n' | b'Let q be ((-1)/4*-1)/((-5)/(-60)). Suppose -4*k + 1 = q*p - 3, p = -4. Solve -4*h = -3*f + 4 - 16, -5*h + f + k = 0 for h.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (w**(-2))**19*w**(-8)*w**(2/19) assuming w is positive.\n' | b'w**(-872/19)\n' | b'Simplify (w**(-2))**19*w**(-8)*w**(2/19) assuming w is positive.\n' | b'w**(-872/19)\n' | deepmind/math_dataset |
b'Calculate prob of sequence wczw when four letters picked without replacement from zzzzzczzzwz.\n' | b'0\n' | b'Calculate prob of sequence wczw when four letters picked without replacement from zzzzzczzzwz.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(u) = 5*u**2 + 4*u - 3. Suppose 30*k + 0*k - 60 = 0. Give r(k).\n' | b'25\n' | b'Let r(u) = 5*u**2 + 4*u - 3. Suppose 30*k + 0*k - 60 = 0. Give r(k).\n' | b'25\n' | deepmind/math_dataset |
b'Simplify (p/((p**0/p)/p))**(11/7)*p**6/((p**(-3)/p)/p) assuming p is positive.\n' | b'p**(110/7)\n' | b'Simplify (p/((p**0/p)/p))**(11/7)*p**6/((p**(-3)/p)/p) assuming p is positive.\n' | b'p**(110/7)\n' | deepmind/math_dataset |
b'Let l(x) = x**2 - 7*x. Let k be l(7). Let h(y) = k - 10*y + 5*y - 5 + y**2. Let q be (-6)/(-9)*30/4. Determine h(q).\n' | b'-5\n' | b'Let l(x) = x**2 - 7*x. Let k be l(7). Let h(y) = k - 10*y + 5*y - 5 + y**2. Let q be (-6)/(-9)*30/4. Determine h(q).\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((b*b**(1/5)*b)/b*b/b**(-2/3))/(b**(-2)/b*b**(1/2))*((b/(b*b**(-3/5)))/b**6)**(-31) assuming b is positive.\n' | b'b**(5183/30)\n' | b'Simplify ((b*b**(1/5)*b)/b*b/b**(-2/3))/(b**(-2)/b*b**(1/2))*((b/(b*b**(-3/5)))/b**6)**(-31) assuming b is positive.\n' | b'b**(5183/30)\n' | deepmind/math_dataset |
b'What is the second derivative of -314*k + 215*k + 181*k**2 - 846*k wrt k?\n' | b'362\n' | b'What is the second derivative of -314*k + 215*k + 181*k**2 - 846*k wrt k?\n' | b'362\n' | deepmind/math_dataset |
b'Let o(c) = -2*c**2 + 20*c + 27. Let x be o(11). Solve -36*d + 15 = -38*d + p, 3*d + 2*p = -x for d.\n' | b'-5\n' | b'Let o(c) = -2*c**2 + 20*c + 27. Let x be o(11). Solve -36*d + 15 = -38*d + p, 3*d + 2*p = -x for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let i(r) = -7*r - 6. Let w(v) = v + 1. Let a = 32 - 7. Suppose -a + 27 = -2*c. Let m(u) = c*i(u) - 6*w(u). What is m(-6)?\n' | b'-6\n' | b'Let i(r) = -7*r - 6. Let w(v) = v + 1. Let a = 32 - 7. Suppose -a + 27 = -2*c. Let m(u) = c*i(u) - 6*w(u). What is m(-6)?\n' | b'-6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {f: 7, g: 1, n: 1, y: 1, k: 7}. What is prob of sequence kyn?\n' | b'7/4080\n' | b'Three letters picked without replacement from {f: 7, g: 1, n: 1, y: 1, k: 7}. What is prob of sequence kyn?\n' | b'7/4080\n' | deepmind/math_dataset |
b'Four letters picked without replacement from oollllo. Give prob of picking 4 l.\n' | b'1/35\n' | b'Four letters picked without replacement from oollllo. Give prob of picking 4 l.\n' | b'1/35\n' | deepmind/math_dataset |
b'Let a be (-8)/6 - (-39)/9. Let t = a + -3. Solve 2*y - 2 = o, -y + 2*o + 1 = -t*y for y.\n' | b'1\n' | b'Let a be (-8)/6 - (-39)/9. Let t = a + -3. Solve 2*y - 2 = o, -y + 2*o + 1 = -t*y for y.\n' | b'1\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lsgggysyggg. What is prob of sequence ygy?\n' | b'2/165\n' | b'Three letters picked without replacement from lsgggysyggg. What is prob of sequence ygy?\n' | b'2/165\n' | deepmind/math_dataset |
b'Let f(r) = 2*r**2 + r - 1. Let q(v) = v**2 + 2*v. Let u(d) = -2*f(d) + 3*q(d). Give u(5).\n' | b'-3\n' | b'Let f(r) = 2*r**2 + r - 1. Let q(v) = v**2 + 2*v. Let u(d) = -2*f(d) + 3*q(d). Give u(5).\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from hehekhkuhhhkmm. What is prob of picking 1 u and 2 h?\n' | b'15/364\n' | b'Three letters picked without replacement from hehekhkuhhhkmm. What is prob of picking 1 u and 2 h?\n' | b'15/364\n' | deepmind/math_dataset |
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