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 c(f) be the second derivative of f**5/60 + f**3/3 + f**2 + f. Let l(r) be the first derivative of c(r). Differentiate l(t) wrt t.\n' | b'2*t\n' | b'Let c(f) be the second derivative of f**5/60 + f**3/3 + f**2 + f. Let l(r) be the first derivative of c(r). Differentiate l(t) wrt t.\n' | b'2*t\n' | deepmind/math_dataset |
b'Suppose -2188 - 1724 = -163*t. Solve -26*h = -2*y - 31*h + 21, 0 = 5*y + 3*h - t for y.\n' | b'3\n' | b'Suppose -2188 - 1724 = -163*t. Solve -26*h = -2*y - 31*h + 21, 0 = 5*y + 3*h - t for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let i(r) = -r**3 - 12*r**2 - 27*r + 7. Let q = -4163 - -4155. Give i(q).\n' | b'-33\n' | b'Let i(r) = -r**3 - 12*r**2 - 27*r + 7. Let q = -4163 - -4155. Give i(q).\n' | b'-33\n' | deepmind/math_dataset |
b'What is prob of sequence jj when two letters picked without replacement from {j: 2, k: 18}?\n' | b'1/190\n' | b'What is prob of sequence jj when two letters picked without replacement from {j: 2, k: 18}?\n' | b'1/190\n' | deepmind/math_dataset |
b'What is prob of sequence bldd when four letters picked without replacement from ubbadlii?\n' | b'0\n' | b'What is prob of sequence bldd when four letters picked without replacement from ubbadlii?\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gggssggssgsgg. Give prob of picking 2 s and 1 g.\n' | b'40/143\n' | b'Three letters picked without replacement from gggssggssgsgg. Give prob of picking 2 s and 1 g.\n' | b'40/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 3, q: 3, f: 3, s: 11}. Give prob of picking 1 f, 1 v, and 1 q.\n' | b'9/380\n' | b'Three letters picked without replacement from {v: 3, q: 3, f: 3, s: 11}. Give prob of picking 1 f, 1 v, and 1 q.\n' | b'9/380\n' | deepmind/math_dataset |
b'Suppose 6 = 2*l + 4. Suppose 2*m - 4*x = 20, -2*m - 2*x = -l + 5. Let j(o) = -o**3 + 2*o**2 - 4*o + 3. Give j(m).\n' | b'-5\n' | b'Suppose 6 = 2*l + 4. Suppose 2*m - 4*x = 20, -2*m - 2*x = -l + 5. Let j(o) = -o**3 + 2*o**2 - 4*o + 3. Give j(m).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence qqq when three letters picked without replacement from {q: 8, i: 3}?\n' | b'56/165\n' | b'What is prob of sequence qqq when three letters picked without replacement from {q: 8, i: 3}?\n' | b'56/165\n' | deepmind/math_dataset |
b'Let c(u) = 7*u + u**2 + u - 296 + 476 + 11*u + 9*u. Determine c(-18).\n' | b'0\n' | b'Let c(u) = 7*u + u**2 + u - 296 + 476 + 11*u + 9*u. Determine c(-18).\n' | b'0\n' | deepmind/math_dataset |
b'Let w(n) = 2*n**2 - n. Let j be 1/(1 + 0 + -2). Let r be (9 - 10) + (-2 - j). What is w(r)?\n' | b'10\n' | b'Let w(n) = 2*n**2 - n. Let j be 1/(1 + 0 + -2). Let r be (9 - 10) + (-2 - j). What is w(r)?\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((h**2)**4*h*h**(-2/3)*(h/(h/((h/h**(-2/9))/h))*h)/h)/((h**3)**(-3))**28 assuming h is positive.\n' | b'h**(2345/9)\n' | b'Simplify ((h**2)**4*h*h**(-2/3)*(h/(h/((h/h**(-2/9))/h))*h)/h)/((h**3)**(-3))**28 assuming h is positive.\n' | b'h**(2345/9)\n' | deepmind/math_dataset |
b'Simplify ((((v*v**(-5/3)*v*v)/v)/v)/v*v**(-33))**(-5/6) assuming v is positive.\n' | b'v**(260/9)\n' | b'Simplify ((((v*v**(-5/3)*v*v)/v)/v)/v*v**(-33))**(-5/6) assuming v is positive.\n' | b'v**(260/9)\n' | deepmind/math_dataset |
b'Let g(u) = u**3 + 68*u**2 + 70*u + 206. Let c be g(-67). Solve 2 = 3*d + 5*f, -4*d + 5*f + 6 = -c*d for d.\n' | b'4\n' | b'Let g(u) = u**3 + 68*u**2 + 70*u + 206. Let c be g(-67). Solve 2 = 3*d + 5*f, -4*d + 5*f + 6 = -c*d for d.\n' | b'4\n' | deepmind/math_dataset |
b'Let h(o) = -o**3 - 6*o**2 - 3*o - 3. Suppose -5*w + 10 = 0, 3*n - w - 8 = n. Let g(b) = -b**2 - 4*b + 40. Let f be g(n). Give h(f).\n' | b'-13\n' | b'Let h(o) = -o**3 - 6*o**2 - 3*o - 3. Suppose -5*w + 10 = 0, 3*n - w - 8 = n. Let g(b) = -b**2 - 4*b + 40. Let f be g(n). Give h(f).\n' | b'-13\n' | deepmind/math_dataset |
b'Let v(l) = -5*l - 94. Let k = -210 + 215. Let z(s) = -5*s - 94. Let c(t) = k*v(t) - 4*z(t). Differentiate c(u) wrt u.\n' | b'-5\n' | b'Let v(l) = -5*l - 94. Let k = -210 + 215. Let z(s) = -5*s - 94. Let c(t) = k*v(t) - 4*z(t). Differentiate c(u) wrt u.\n' | b'-5\n' | deepmind/math_dataset |
b'What is the first derivative of 564*w - 531*w - 2171*w - 709*w + 3929 wrt w?\n' | b'-2847\n' | b'What is the first derivative of 564*w - 531*w - 2171*w - 709*w + 3929 wrt w?\n' | b'-2847\n' | deepmind/math_dataset |
b'What is prob of sequence ls when two letters picked without replacement from {l: 9, s: 3}?\n' | b'9/44\n' | b'What is prob of sequence ls when two letters picked without replacement from {l: 9, s: 3}?\n' | b'9/44\n' | deepmind/math_dataset |
b'Find the second derivative of -3 - 1018*n**3 + 478*n**3 - 286*n**2 + 356*n + 539*n**3 wrt n.\n' | b'-6*n - 572\n' | b'Find the second derivative of -3 - 1018*n**3 + 478*n**3 - 286*n**2 + 356*n + 539*n**3 wrt n.\n' | b'-6*n - 572\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wwzwwwwz. Give prob of picking 2 z.\n' | b'1/28\n' | b'Two letters picked without replacement from wwzwwwwz. Give prob of picking 2 z.\n' | b'1/28\n' | deepmind/math_dataset |
b'Suppose -5*j + 19 = 3*z, 3*j - 1 = -5*z + 4. Suppose n - 5*c = -16, -3*c - 3 = -j*n + 5. Solve u - d = 1, -3*u + n = -d - 3*d for u.\n' | b'0\n' | b'Suppose -5*j + 19 = 3*z, 3*j - 1 = -5*z + 4. Suppose n - 5*c = -16, -3*c - 3 = -j*n + 5. Solve u - d = 1, -3*u + n = -d - 3*d for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(x) be the third derivative of x**6/120 - 11*x**5/60 - x**3/2 + 133*x**2. What is u(11)?\n' | b'-3\n' | b'Let u(x) be the third derivative of x**6/120 - 11*x**5/60 - x**3/2 + 133*x**2. What is u(11)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let z be (1/(10/(-24)))/((-122)/305). Solve 2*f = -s + z*f + 5, 0 = -4*f for s.\n' | b'5\n' | b'Let z be (1/(10/(-24)))/((-122)/305). Solve 2*f = -s + z*f + 5, 0 = -4*f for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let b(m) = -193*m**3 + 2*m**2 - 813*m + 4. Let t(k) = 195*k**3 - 3*k**2 + 813*k - 6. Let f(v) = -3*b(v) - 2*t(v). Find the second derivative of f(q) wrt q.\n' | b'1134*q\n' | b'Let b(m) = -193*m**3 + 2*m**2 - 813*m + 4. Let t(k) = 195*k**3 - 3*k**2 + 813*k - 6. Let f(v) = -3*b(v) - 2*t(v). Find the second derivative of f(q) wrt q.\n' | b'1134*q\n' | deepmind/math_dataset |
b'What is prob of sequence uu when two letters picked without replacement from {o: 4, b: 1, u: 3}?\n' | b'3/28\n' | b'What is prob of sequence uu when two letters picked without replacement from {o: 4, b: 1, u: 3}?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let x = 2 + -3. Let l = -2 - x. Let o(w) = 4*w**2 + w - 2. Let y(u) = 17*u**2 + 4*u - 9. Let p(g) = 9*o(g) - 2*y(g). What is p(l)?\n' | b'1\n' | b'Let x = 2 + -3. Let l = -2 - x. Let o(w) = 4*w**2 + w - 2. Let y(u) = 17*u**2 + 4*u - 9. Let p(g) = 9*o(g) - 2*y(g). What is p(l)?\n' | b'1\n' | deepmind/math_dataset |
b'Let q be ((-51)/15 - -3)/((-4)/20). Let g(y) = -q*y**2 + 387*y - 391*y + 0*y**3 + y**3. Let o(f) = -f**2 - 8*f - 9. Let t be o(-6). Give g(t).\n' | b'-3\n' | b'Let q be ((-51)/15 - -3)/((-4)/20). Let g(y) = -q*y**2 + 387*y - 391*y + 0*y**3 + y**3. Let o(f) = -f**2 - 8*f - 9. Let t be o(-6). Give g(t).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify b**16*b*b*b*b**22 assuming b is positive.\n' | b'b**41\n' | b'Simplify b**16*b*b*b*b**22 assuming b is positive.\n' | b'b**41\n' | deepmind/math_dataset |
b'What is prob of picking 4 w when four letters picked without replacement from {w: 4}?\n' | b'1\n' | b'What is prob of picking 4 w when four letters picked without replacement from {w: 4}?\n' | b'1\n' | deepmind/math_dataset |
b'Let c(m) = 9*m - 144. Let j be c(16). Find the second derivative of 42*t**3 + 4*t**4 + 2 + 17*t + j - 44*t**3 wrt t.\n' | b'48*t**2 - 12*t\n' | b'Let c(m) = 9*m - 144. Let j be c(16). Find the second derivative of 42*t**3 + 4*t**4 + 2 + 17*t + j - 44*t**3 wrt t.\n' | b'48*t**2 - 12*t\n' | deepmind/math_dataset |
b'Simplify ((t**(-2/17)/(t*t**(-1/2)))/((t/(t/((t**(3/7)*t)/t)))/t**(-5)))/(t/(t/((t*t/t**(-5)*t)/t))*t**4*(t*(t/t**(-2/3))/t)**(-2/5)) assuming t is positive.\n' | b't**(-11695/714)\n' | b'Simplify ((t**(-2/17)/(t*t**(-1/2)))/((t/(t/((t**(3/7)*t)/t)))/t**(-5)))/(t/(t/((t*t/t**(-5)*t)/t))*t**4*(t*(t/t**(-2/3))/t)**(-2/5)) assuming t is positive.\n' | b't**(-11695/714)\n' | deepmind/math_dataset |
b'Let x(r) = 70*r**3 - 33*r**2 + 11*r. Let a(z) = 35*z**3 - 17*z**2 + 6*z. Let c(m) = -11*a(m) + 6*x(m). Find the third derivative of c(u) wrt u.\n' | b'210\n' | b'Let x(r) = 70*r**3 - 33*r**2 + 11*r. Let a(z) = 35*z**3 - 17*z**2 + 6*z. Let c(m) = -11*a(m) + 6*x(m). Find the third derivative of c(u) wrt u.\n' | b'210\n' | deepmind/math_dataset |
b'What is prob of sequence zu when two letters picked without replacement from jufozoc?\n' | b'1/42\n' | b'What is prob of sequence zu when two letters picked without replacement from jufozoc?\n' | b'1/42\n' | deepmind/math_dataset |
b'Suppose 4*o + 23*o - 162 = 0. Find the third derivative of -47*z**o + 68*z**2 - 27*z**6 + z**4 - z**4 wrt z.\n' | b'-8880*z**3\n' | b'Suppose 4*o + 23*o - 162 = 0. Find the third derivative of -47*z**o + 68*z**2 - 27*z**6 + z**4 - z**4 wrt z.\n' | b'-8880*z**3\n' | deepmind/math_dataset |
b'Let l(k) = k**2 + 4*k + 2. Suppose -1 = 7*z - 4*z - t, -z - 3*t - 17 = 0. Let j be l(z). Let u = j + 6. Solve -19 = -v + 3*y, -21 = -u*v + 5*y - 4*y for v.\n' | b'4\n' | b'Let l(k) = k**2 + 4*k + 2. Suppose -1 = 7*z - 4*z - t, -z - 3*t - 17 = 0. Let j be l(z). Let u = j + 6. Solve -19 = -v + 3*y, -21 = -u*v + 5*y - 4*y for v.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((r/((r**14/r)/r)*r**(-4/5))/((r*r**(-11))/((r/(r*r**(1/2)))/r)))**24 assuming r is positive.\n' | b'r**(-396/5)\n' | b'Simplify ((r/((r**14/r)/r)*r**(-4/5))/((r*r**(-11))/((r/(r*r**(1/2)))/r)))**24 assuming r is positive.\n' | b'r**(-396/5)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxowzlzw. Give prob of picking 2 x and 2 w.\n' | b'1/70\n' | b'Four letters picked without replacement from xxowzlzw. Give prob of picking 2 x and 2 w.\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify ((v/v**25)/v)/v**5 assuming v is positive.\n' | b'v**(-30)\n' | b'Simplify ((v/v**25)/v)/v**5 assuming v is positive.\n' | b'v**(-30)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {z: 1, i: 8, y: 4}. What is prob of sequence iyy?\n' | b'8/143\n' | b'Three letters picked without replacement from {z: 1, i: 8, y: 4}. What is prob of sequence iyy?\n' | b'8/143\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i when three letters picked without replacement from iijjijijiijjj.\n' | b'10/143\n' | b'Calculate prob of picking 3 i when three letters picked without replacement from iijjijijiijjj.\n' | b'10/143\n' | deepmind/math_dataset |
b'Let b(c) = -11*c**2 - c - 8*c - 5 - 4*c**2. Let s(n) = 4*n**2 + 2*n + 1. Let t(p) = 2*b(p) + 9*s(p). What is t(1)?\n' | b'5\n' | b'Let b(c) = -11*c**2 - c - 8*c - 5 - 4*c**2. Let s(n) = 4*n**2 + 2*n + 1. Let t(p) = 2*b(p) + 9*s(p). What is t(1)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -8*l - 23 + 55 = 0. Solve -l*a + 0*a = 3*p + 2, -2*a + p + 4 = 0 for a.\n' | b'1\n' | b'Suppose -8*l - 23 + 55 = 0. Solve -l*a + 0*a = 3*p + 2, -2*a + p + 4 = 0 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let h(p) = -2*p**2 - 10*p - 18. Let i be h(-10). Let g = i + 123. Let f(j) = j**3 - 6*j**2 + 3*j + 3. Give f(g).\n' | b'-7\n' | b'Let h(p) = -2*p**2 - 10*p - 18. Let i be h(-10). Let g = i + 123. Let f(j) = j**3 - 6*j**2 + 3*j + 3. Give f(g).\n' | b'-7\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 x when two letters picked without replacement from xlxlxxxxqxxux?\n' | b'3/26\n' | b'What is prob of picking 1 u and 1 x when two letters picked without replacement from xlxlxxxxqxxux?\n' | b'3/26\n' | deepmind/math_dataset |
b'What is prob of sequence zn when two letters picked without replacement from znrrrrz?\n' | b'1/21\n' | b'What is prob of sequence zn when two letters picked without replacement from znrrrrz?\n' | b'1/21\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 4, g: 1, l: 2, n: 2}. What is prob of sequence lgn?\n' | b'1/126\n' | b'Three letters picked without replacement from {y: 4, g: 1, l: 2, n: 2}. What is prob of sequence lgn?\n' | b'1/126\n' | deepmind/math_dataset |
b'What is prob of sequence ogq when three letters picked without replacement from oggggnhsgqsgnggs?\n' | b'1/420\n' | b'What is prob of sequence ogq when three letters picked without replacement from oggggnhsgqsgnggs?\n' | b'1/420\n' | deepmind/math_dataset |
b'Let j(x) = -x**3 - 5*x**2 + 2 + 11*x - 12*x + x. Let y be j(-5). Solve -16 = -4*v, -2*s = y*s - 2*v - 8 for s.\n' | b'4\n' | b'Let j(x) = -x**3 - 5*x**2 + 2 + 11*x - 12*x + x. Let y be j(-5). Solve -16 = -4*v, -2*s = y*s - 2*v - 8 for s.\n' | b'4\n' | deepmind/math_dataset |
b'Let g(x) = -6*x - 6. Let z be 4/(-3) + (3 - -2 - 308/84). Give g(z).\n' | b'-6\n' | b'Let g(x) = -6*x - 6. Let z be 4/(-3) + (3 - -2 - 308/84). Give g(z).\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (f/(f/(f**(5/9)/f)))/f*f/(f**(-2/9)*f) assuming f is positive.\n' | b'f**(-11/9)\n' | b'Simplify (f/(f/(f**(5/9)/f)))/f*f/(f**(-2/9)*f) assuming f is positive.\n' | b'f**(-11/9)\n' | deepmind/math_dataset |
b'Simplify (r/r**(-2/9)*((r*(r*r/(r/(r*r**1*r)))/r)/r)/r)/(r**(1/3))**19*(((r**(-2/9)/r)/r)/r*r**(1/5)/r)/((r*r**(-2)*r)/r*r*r*r**(-2/21)) assuming r is positive.\n' | b'r**(-844/105)\n' | b'Simplify (r/r**(-2/9)*((r*(r*r/(r/(r*r**1*r)))/r)/r)/r)/(r**(1/3))**19*(((r**(-2/9)/r)/r)/r*r**(1/5)/r)/((r*r**(-2)*r)/r*r*r*r**(-2/21)) assuming r is positive.\n' | b'r**(-844/105)\n' | deepmind/math_dataset |
b'What is prob of sequence svr when three letters picked without replacement from {r: 1, g: 2, s: 2, x: 1, v: 2}?\n' | b'1/84\n' | b'What is prob of sequence svr when three letters picked without replacement from {r: 1, g: 2, s: 2, x: 1, v: 2}?\n' | b'1/84\n' | deepmind/math_dataset |
b'Let o(j) = 2*j - 5. Let k be o(4). Suppose a + 1 = -0*a + d, k*d = 9. Find the third derivative of 0*z**2 + z**5 - 4*z**2 - 2*z**a + 4*z**2 wrt z.\n' | b'60*z**2\n' | b'Let o(j) = 2*j - 5. Let k be o(4). Suppose a + 1 = -0*a + d, k*d = 9. Find the third derivative of 0*z**2 + z**5 - 4*z**2 - 2*z**a + 4*z**2 wrt z.\n' | b'60*z**2\n' | deepmind/math_dataset |
b'Let o(p) be the third derivative of p**6/120 + 13*p**5/60 + 7*p**4/12 + 10*p**3/3 + 3*p**2 - 1. Give o(-12).\n' | b'-4\n' | b'Let o(p) be the third derivative of p**6/120 + 13*p**5/60 + 7*p**4/12 + 10*p**3/3 + 3*p**2 - 1. Give o(-12).\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence iko when three letters picked without replacement from xiaikakioiiakkiok.\n' | b'1/68\n' | b'Calculate prob of sequence iko when three letters picked without replacement from xiaikakioiiakkiok.\n' | b'1/68\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, l: 7, u: 5, n: 1, m: 1}. Give prob of picking 1 l and 1 n.\n' | b'1/15\n' | b'Two letters picked without replacement from {s: 1, l: 7, u: 5, n: 1, m: 1}. Give prob of picking 1 l and 1 n.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let o(c) = -3897*c + 3110. Let b(t) = 3916*t - 3110. Let y(h) = 7*b(h) + 8*o(h). Differentiate y(w) with respect to w.\n' | b'-3764\n' | b'Let o(c) = -3897*c + 3110. Let b(t) = 3916*t - 3110. Let y(h) = 7*b(h) + 8*o(h). Differentiate y(w) with respect to w.\n' | b'-3764\n' | deepmind/math_dataset |
b'Let q(w) = 4 + 0 - 9 - w. Calculate q(-10).\n' | b'5\n' | b'Let q(w) = 4 + 0 - 9 - w. Calculate q(-10).\n' | b'5\n' | deepmind/math_dataset |
b'Let a(w) be the first derivative of w**3/3 - w**2/2 - 5*w + 1. Suppose -4*u = -4*x - 32, 3*u + 34 = -3*x + 4. Let q be x + (46/299 - 63/(-13)). Determine a(q).\n' | b'15\n' | b'Let a(w) be the first derivative of w**3/3 - w**2/2 - 5*w + 1. Suppose -4*u = -4*x - 32, 3*u + 34 = -3*x + 4. Let q be x + (46/299 - 63/(-13)). Determine a(q).\n' | b'15\n' | deepmind/math_dataset |
b'Calculate prob of sequence qqnr when four letters picked without replacement from {d: 3, q: 4, g: 2, p: 1, r: 1, n: 4}.\n' | b'2/1365\n' | b'Calculate prob of sequence qqnr when four letters picked without replacement from {d: 3, q: 4, g: 2, p: 1, r: 1, n: 4}.\n' | b'2/1365\n' | deepmind/math_dataset |
b'Let f(l) be the first derivative of -2*l**3/3 - l**2 + l - 140. Suppose -r = x + 3, 3*r + 6 = 2*r + 2*x. Let m(b) = b + 2. Let i be m(r). Determine f(i).\n' | b'-3\n' | b'Let f(l) be the first derivative of -2*l**3/3 - l**2 + l - 140. Suppose -r = x + 3, 3*r + 6 = 2*r + 2*x. Let m(b) = b + 2. Let i be m(r). Determine f(i).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 2*k = -4*s + 28, 8 - 4 = k. What is the third derivative of -n**4 + 6*n**s + 25*n**3 + 14*n**5 - 25*n**3 + 2*n**2 - 2 wrt n?\n' | b'1200*n**2 - 24*n\n' | b'Suppose 2*k = -4*s + 28, 8 - 4 = k. What is the third derivative of -n**4 + 6*n**s + 25*n**3 + 14*n**5 - 25*n**3 + 2*n**2 - 2 wrt n?\n' | b'1200*n**2 - 24*n\n' | deepmind/math_dataset |
b'Suppose 0 = -3*y - 4*u + 12, 0*y - 2*y + 8 = 2*u. Solve -2*k = -5*i + 25, 2*k + k + y*i + 3 = 0 for k.\n' | b'-5\n' | b'Suppose 0 = -3*y - 4*u + 12, 0*y - 2*y + 8 = 2*u. Solve -2*k = -5*i + 25, 2*k + k + y*i + 3 = 0 for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Let h be (1/(-3))/(1/(-9)). Let s(j) = 8*j**3 - 11*j**2 + 2*j - 3. Let a(b) = 7*b**3 - 10*b**2 + 2*b - 3. Let y(r) = -7*a(r) + 6*s(r). What is y(h)?\n' | b'6\n' | b'Let h be (1/(-3))/(1/(-9)). Let s(j) = 8*j**3 - 11*j**2 + 2*j - 3. Let a(b) = 7*b**3 - 10*b**2 + 2*b - 3. Let y(r) = -7*a(r) + 6*s(r). What is y(h)?\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (l/l**(1/4))**(4/7) assuming l is positive.\n' | b'l**(3/7)\n' | b'Simplify (l/l**(1/4))**(4/7) assuming l is positive.\n' | b'l**(3/7)\n' | deepmind/math_dataset |
b'Let y be (-22)/4*(17 + -19). Let k be ((-4 - 1) + 3)/((-2)/(-8)). Let h = y + k. Let p(r) = 2*r - 4. Calculate p(h).\n' | b'2\n' | b'Let y be (-22)/4*(17 + -19). Let k be ((-4 - 1) + 3)/((-2)/(-8)). Let h = y + k. Let p(r) = 2*r - 4. Calculate p(h).\n' | b'2\n' | deepmind/math_dataset |
b'Let m(w) be the second derivative of 2941*w**6/10 + 1448*w**3 - 1130*w. Find the second derivative of m(x) wrt x.\n' | b'105876*x**2\n' | b'Let m(w) be the second derivative of 2941*w**6/10 + 1448*w**3 - 1130*w. Find the second derivative of m(x) wrt x.\n' | b'105876*x**2\n' | deepmind/math_dataset |
b'Simplify (i*i/(i*i**1)*(i*i/((i*(i**1/i*i*i)/i)/i))/i)/(i**(2/7))**6*(i*i**1/i*i)**13/(i**(1/8)/i**(1/2)) assuming i is positive.\n' | b'i**(1381/56)\n' | b'Simplify (i*i/(i*i**1)*(i*i/((i*(i**1/i*i*i)/i)/i))/i)/(i**(2/7))**6*(i*i**1/i*i)**13/(i**(1/8)/i**(1/2)) assuming i is positive.\n' | b'i**(1381/56)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zogzffooo. What is prob of picking 1 o, 1 g, and 1 f?\n' | b'2/21\n' | b'Three letters picked without replacement from zogzffooo. What is prob of picking 1 o, 1 g, and 1 f?\n' | b'2/21\n' | deepmind/math_dataset |
b'Simplify ((((w**(-5)/w*w)/w*(w*(w**(-1)*w)/w)/w*w)/(w*w**(-1)/w)**44)**27)**(-3) assuming w is positive.\n' | b'w**(-3078)\n' | b'Simplify ((((w**(-5)/w*w)/w*(w*(w**(-1)*w)/w)/w*w)/(w*w**(-1)/w)**44)**27)**(-3) assuming w is positive.\n' | b'w**(-3078)\n' | deepmind/math_dataset |
b'What is prob of sequence spc when three letters picked without replacement from {s: 2, c: 1, p: 1, m: 1, e: 4, d: 3}?\n' | b'1/660\n' | b'What is prob of sequence spc when three letters picked without replacement from {s: 2, c: 1, p: 1, m: 1, e: 4, d: 3}?\n' | b'1/660\n' | deepmind/math_dataset |
b'Simplify ((q**(-7)/q*q)/(q/(q/(q/q**24)))*(q/((q*q*q**(-2/41)*q*q)/q*q*q))**16)**(-49) assuming q is positive.\n' | b'q**(94864/41)\n' | b'Simplify ((q**(-7)/q*q)/(q/(q/(q/q**24)))*(q/((q*q*q**(-2/41)*q*q)/q*q*q))**16)**(-49) assuming q is positive.\n' | b'q**(94864/41)\n' | deepmind/math_dataset |
b'Suppose -2*p + 0*p + 6 = 0. Suppose -2*g + k = -7, 2*g - 19 = -p*g + 3*k. Find the first derivative of i + 2*i + 5 - 2 - g wrt i.\n' | b'3\n' | b'Suppose -2*p + 0*p + 6 = 0. Suppose -2*g + k = -7, 2*g - 19 = -p*g + 3*k. Find the first derivative of i + 2*i + 5 - 2 - g wrt i.\n' | b'3\n' | deepmind/math_dataset |
b'Let x(v) be the second derivative of 1/3*v**3 - 1/12*v**4 + 1/2*v**2 + 0 - 5*v. Calculate x(4).\n' | b'-7\n' | b'Let x(v) be the second derivative of 1/3*v**3 - 1/12*v**4 + 1/2*v**2 + 0 - 5*v. Calculate x(4).\n' | b'-7\n' | deepmind/math_dataset |
b'Let t(c) = c**3 - 2*c**2 + c. Let y be t(2). Suppose -2*x + 3*x = -y*g, 5*x + 30 = 5*g. What is the third derivative of -3*h**g - h**2 + h**6 + 5*h**2 wrt h?\n' | b'120*h**3\n' | b'Let t(c) = c**3 - 2*c**2 + c. Let y be t(2). Suppose -2*x + 3*x = -y*g, 5*x + 30 = 5*g. What is the third derivative of -3*h**g - h**2 + h**6 + 5*h**2 wrt h?\n' | b'120*h**3\n' | deepmind/math_dataset |
b'Suppose p = -2*p + 9. Let a be -2*(-2)/(4/5). What is the second derivative of p*d**2 + 2*d**4 - a*d + 3*d - 3*d**2 wrt d?\n' | b'24*d**2\n' | b'Suppose p = -2*p + 9. Let a be -2*(-2)/(4/5). What is the second derivative of p*d**2 + 2*d**4 - a*d + 3*d - 3*d**2 wrt d?\n' | b'24*d**2\n' | deepmind/math_dataset |
b'Let p(d) be the first derivative of -d**4/2 + 3641*d**3/3 - 2193*d - 4363. Find the first derivative of p(u) wrt u.\n' | b'-6*u**2 + 7282*u\n' | b'Let p(d) be the first derivative of -d**4/2 + 3641*d**3/3 - 2193*d - 4363. Find the first derivative of p(u) wrt u.\n' | b'-6*u**2 + 7282*u\n' | deepmind/math_dataset |
b'Calculate prob of sequence fu when two letters picked without replacement from ufvcuec.\n' | b'1/21\n' | b'Calculate prob of sequence fu when two letters picked without replacement from ufvcuec.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let a be -4 + 5 + -1 + 2. Solve -2*k + a*c = c + 9, 3*k - 3*c + 18 = 0 for k.\n' | b'-3\n' | b'Let a be -4 + 5 + -1 + 2. Solve -2*k + a*c = c + 9, 3*k - 3*c + 18 = 0 for k.\n' | b'-3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from jxjooxjjjoojjoo. What is prob of picking 2 j?\n' | b'1/5\n' | b'Two letters picked without replacement from jxjooxjjjoojjoo. What is prob of picking 2 j?\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify ((s*s*s**(-2/9)*s*s*s**(-6))**(-5/12))**(-2/63) assuming s is positive.\n' | b's**(-50/1701)\n' | b'Simplify ((s*s*s**(-2/9)*s*s*s**(-6))**(-5/12))**(-2/63) assuming s is positive.\n' | b's**(-50/1701)\n' | deepmind/math_dataset |
b'Let s = 50 + -46. Let r(p) = -2*p + 2. Give r(s).\n' | b'-6\n' | b'Let s = 50 + -46. Let r(p) = -2*p + 2. Give r(s).\n' | b'-6\n' | deepmind/math_dataset |
b'Four letters picked without replacement from vpjttipv. Give prob of picking 1 t, 2 i, and 1 v.\n' | b'0\n' | b'Four letters picked without replacement from vpjttipv. Give prob of picking 1 t, 2 i, and 1 v.\n' | b'0\n' | deepmind/math_dataset |
b'Let b(m) be the first derivative of m**3/3 - 17*m**2/2 - 14*m + 138. What is b(18)?\n' | b'4\n' | b'Let b(m) be the first derivative of m**3/3 - 17*m**2/2 - 14*m + 138. What is b(18)?\n' | b'4\n' | deepmind/math_dataset |
b'Let l(s) = -s**3 - 3*s**2 - 21. Let q be l(-5). Suppose 4*c - 5*b - q = c, -5*c + 3 = 3*b. Solve 2*f - 26 = -5*k, 1 = c*f - 8*f + 4*k for f.\n' | b'3\n' | b'Let l(s) = -s**3 - 3*s**2 - 21. Let q be l(-5). Suppose 4*c - 5*b - q = c, -5*c + 3 = 3*b. Solve 2*f - 26 = -5*k, 1 = c*f - 8*f + 4*k for f.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((h**(2/7))**(27/2))**(-34))**(1/4) assuming h is positive.\n' | b'h**(-459/14)\n' | b'Simplify (((h**(2/7))**(27/2))**(-34))**(1/4) assuming h is positive.\n' | b'h**(-459/14)\n' | deepmind/math_dataset |
b'Let g(t) = 11*t**3 + 7*t**2 + 30*t + 4. Let x(z) = z**3 + z**2 + 1. Let l(w) = g(w) - 4*x(w). What is the second derivative of l(q) wrt q?\n' | b'42*q + 6\n' | b'Let g(t) = 11*t**3 + 7*t**2 + 30*t + 4. Let x(z) = z**3 + z**2 + 1. Let l(w) = g(w) - 4*x(w). What is the second derivative of l(q) wrt q?\n' | b'42*q + 6\n' | deepmind/math_dataset |
b'Suppose 0 = -3*o + 4*y + 4, o = 2*o + y - 6. Suppose 0 = 4*l + z - 1, 4*l + 4*z = 3*l + o. Solve 0 = -3*q + 12 + 3, -5*f + 3*q + 5 = l for f.\n' | b'4\n' | b'Suppose 0 = -3*o + 4*y + 4, o = 2*o + y - 6. Suppose 0 = 4*l + z - 1, 4*l + 4*z = 3*l + o. Solve 0 = -3*q + 12 + 3, -5*f + 3*q + 5 = l for f.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (c**(2/7)/(c*(c*c**(-15/4))/c))/((c*c**(-1/4)/c)/c)**50 assuming c is positive.\n' | b'c**(1835/28)\n' | b'Simplify (c**(2/7)/(c*(c*c**(-15/4))/c))/((c*c**(-1/4)/c)/c)**50 assuming c is positive.\n' | b'c**(1835/28)\n' | deepmind/math_dataset |
b'Suppose 17*f = 150 - 99. Solve -36*h + 5*y = -33*h + 17, 2*y + 10 = -f*h for h.\n' | b'-4\n' | b'Suppose 17*f = 150 - 99. Solve -36*h + 5*y = -33*h + 17, 2*y + 10 = -f*h for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (d**(-2)*d)**(-1/34)/((d*d*d*d*d*d**(-4/3))/d*d**(2/15))*((d/((d**(4/7)/d)/d*d))/((d/d**(-1/5)*d*d)/d))**38 assuming d is positive.\n' | b'd**(-38181/1190)\n' | b'Simplify (d**(-2)*d)**(-1/34)/((d*d*d*d*d*d**(-4/3))/d*d**(2/15))*((d/((d**(4/7)/d)/d*d))/((d/d**(-1/5)*d*d)/d))**38 assuming d is positive.\n' | b'd**(-38181/1190)\n' | deepmind/math_dataset |
b'Let d = 171 + -106. Suppose 4*j = -q - 155, 5*q + 30 = -3*j - d. Let s = -21 - j. Solve -3*g - 3*n = -g - s, 3*g + n = 11 for g.\n' | b'2\n' | b'Let d = 171 + -106. Suppose 4*j = -q - 155, 5*q + 30 = -3*j - d. Let s = -21 - j. Solve -3*g - 3*n = -g - s, 3*g + n = 11 for g.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 1 a when two letters picked without replacement from {i: 2, s: 4, a: 4}?\n' | b'16/45\n' | b'What is prob of picking 1 s and 1 a when two letters picked without replacement from {i: 2, s: 4, a: 4}?\n' | b'16/45\n' | deepmind/math_dataset |
b'Simplify r*r*r**0*r/((r*r*r/r**(-1/2)*r*r)/r)*r**(-7)/r**(4/7) assuming r is positive.\n' | b'r**(-127/14)\n' | b'Simplify r*r*r**0*r/((r*r*r/r**(-1/2)*r*r)/r)*r**(-7)/r**(4/7) assuming r is positive.\n' | b'r**(-127/14)\n' | deepmind/math_dataset |
b'Let s(b) be the second derivative of -2813*b**7/42 + 49*b**4/6 - 33*b**2/2 + 2018*b. What is the third derivative of s(z) wrt z?\n' | b'-168780*z**2\n' | b'Let s(b) be the second derivative of -2813*b**7/42 + 49*b**4/6 - 33*b**2/2 + 2018*b. What is the third derivative of s(z) wrt z?\n' | b'-168780*z**2\n' | deepmind/math_dataset |
b'Simplify x**(-2)*x**(2/3)*x*x/(x/(x**5*x))*x*(x*(x*x**(-3/4)/x)/x*x*x)/x assuming x is positive.\n' | b'x**(83/12)\n' | b'Simplify x**(-2)*x**(2/3)*x*x/(x/(x**5*x))*x*(x*(x*x**(-3/4)/x)/x*x*x)/x assuming x is positive.\n' | b'x**(83/12)\n' | deepmind/math_dataset |
b'Simplify (t**(-5/4)/t**8*t**21*t*t*(t*t**(6/5)*t)/t*t)**(-45) assuming t is positive.\n' | b't**(-3051/4)\n' | b'Simplify (t**(-5/4)/t**8*t**21*t*t*(t*t**(6/5)*t)/t*t)**(-45) assuming t is positive.\n' | b't**(-3051/4)\n' | deepmind/math_dataset |
b'Differentiate 139*z - 64 - 62 - 59 with respect to z.\n' | b'139\n' | b'Differentiate 139*z - 64 - 62 - 59 with respect to z.\n' | b'139\n' | deepmind/math_dataset |
b'Simplify (j/j**(-1/16))**11*(j**12*j)**(-42) assuming j is positive.\n' | b'j**(-8549/16)\n' | b'Simplify (j/j**(-1/16))**11*(j**12*j)**(-42) assuming j is positive.\n' | b'j**(-8549/16)\n' | deepmind/math_dataset |
b'Let c = 10 + -7. Suppose -5*m - 6 = -1, c*g + 3*m = 6. Suppose -2*d = -4*w - g - 19, 2*w + 3*d - 1 = 0. Let s(i) = -i**3 - 4*i**2 - 4*i - 2. Determine s(w).\n' | b'14\n' | b'Let c = 10 + -7. Suppose -5*m - 6 = -1, c*g + 3*m = 6. Suppose -2*d = -4*w - g - 19, 2*w + 3*d - 1 = 0. Let s(i) = -i**3 - 4*i**2 - 4*i - 2. Determine s(w).\n' | b'14\n' | deepmind/math_dataset |
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