question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1 value |
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b'Let b(p) be the second derivative of 5/2*p**2 - 1/20*p**5 + 0 - 3/2*p**3 + 5*p + 2/3*p**4. Determine b(7).\n' | b'-9\n' | b'Let b(p) be the second derivative of 5/2*p**2 - 1/20*p**5 + 0 - 3/2*p**3 + 5*p + 2/3*p**4. Determine b(7).\n' | b'-9\n' | deepmind/math_dataset |
b'Suppose -2*k - 246 = -5*h + 3*h, -2*k + 4*h = 256. Let i = k - -123. Solve -4*g + 3*a = -24, -i*g + 2 = -5*a - 33 for g.\n' | b'3\n' | b'Suppose -2*k - 246 = -5*h + 3*h, -2*k + 4*h = 256. Let i = k - -123. Solve -4*g + 3*a = -24, -i*g + 2 = -5*a - 33 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((o*o**(-3)*o)/o)/o**(5/2)*(o/((o*((o**1/o)/o)/o*o)/o))**(3/8))/((o**(3/2))**(-14/5))**(-1/48) assuming o is positive.\n' | b'o**(-307/80)\n' | b'Simplify (((o*o**(-3)*o)/o)/o**(5/2)*(o/((o*((o**1/o)/o)/o*o)/o))**(3/8))/((o**(3/2))**(-14/5))**(-1/48) assuming o is positive.\n' | b'o**(-307/80)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 7, j: 8, n: 3}. Give prob of sequence jj.\n' | b'28/153\n' | b'Two letters picked without replacement from {w: 7, j: 8, n: 3}. Give prob of sequence jj.\n' | b'28/153\n' | deepmind/math_dataset |
b'Calculate prob of sequence ssij when four letters picked without replacement from asajszjijpza.\n' | b'1/1980\n' | b'Calculate prob of sequence ssij when four letters picked without replacement from asajszjijpza.\n' | b'1/1980\n' | deepmind/math_dataset |
b'Calculate prob of sequence pp when two letters picked without replacement from odcopdddpc.\n' | b'1/45\n' | b'Calculate prob of sequence pp when two letters picked without replacement from odcopdddpc.\n' | b'1/45\n' | deepmind/math_dataset |
b'Simplify ((q/q**(2/3))/q)**(-39)*(((q**1*q)/q*q)/q*q)/q*q*q*q**(-2) assuming q is positive.\n' | b'q**27\n' | b'Simplify ((q/q**(2/3))/q)**(-39)*(((q**1*q)/q*q)/q*q)/q*q*q*q**(-2) assuming q is positive.\n' | b'q**27\n' | deepmind/math_dataset |
b'Let q(k) = 10*k**2 - 2*k - 2. Let m(r) = r**2 - r - 1. Let o(x) = -2*m(x) + q(x). Let i be 207/(-45) - -5 - (-3)/5. Calculate o(i).\n' | b'8\n' | b'Let q(k) = 10*k**2 - 2*k - 2. Let m(r) = r**2 - r - 1. Let o(x) = -2*m(x) + q(x). Let i be 207/(-45) - -5 - (-3)/5. Calculate o(i).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 c when three letters picked without replacement from {j: 1, c: 3}.\n' | b'1/4\n' | b'Calculate prob of picking 3 c when three letters picked without replacement from {j: 1, c: 3}.\n' | b'1/4\n' | deepmind/math_dataset |
b'Suppose 203*g = 187*g + 256. Solve 0 = h + 4, 8*h - 4*h = -3*b - g for b.\n' | b'0\n' | b'Suppose 203*g = 187*g + 256. Solve 0 = h + 4, 8*h - 4*h = -3*b - g for b.\n' | b'0\n' | deepmind/math_dataset |
b'Let d(u) = u**5 - u**4 - u + 2. Let y(h) = 38*h**5 - 5*h**4 - h**2 - 98*h + 13. Let v(n) = -5*d(n) + y(n). Find the second derivative of v(r) wrt r.\n' | b'660*r**3 - 2\n' | b'Let d(u) = u**5 - u**4 - u + 2. Let y(h) = 38*h**5 - 5*h**4 - h**2 - 98*h + 13. Let v(n) = -5*d(n) + y(n). Find the second derivative of v(r) wrt r.\n' | b'660*r**3 - 2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xxbxbkbbxxbbbkb. Give prob of picking 1 b, 1 k, and 2 x.\n' | b'32/273\n' | b'Four letters picked without replacement from xxbxbkbbxxbbbkb. Give prob of picking 1 b, 1 k, and 2 x.\n' | b'32/273\n' | deepmind/math_dataset |
b'Let c(y) = 7*y - 3. Let a = 68 + -64. What is c(a)?\n' | b'25\n' | b'Let c(y) = 7*y - 3. Let a = 68 + -64. What is c(a)?\n' | b'25\n' | deepmind/math_dataset |
b'Suppose -3*w - y + 4 - 1 = 0, 4*w + y = 3. Let b(m) = 5*m + 2. Let u be b(-1). Let t be 24/18 - 2/u. Solve -4*q + 4*k = 0, -2*q - t*k - 3*k + 28 = w for q.\n' | b'4\n' | b'Suppose -3*w - y + 4 - 1 = 0, 4*w + y = 3. Let b(m) = 5*m + 2. Let u be b(-1). Let t be 24/18 - 2/u. Solve -4*q + 4*k = 0, -2*q - t*k - 3*k + 28 = w for q.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 3*n = 11*n - 112. Let c(r) = 10*r**2 + 25*r + 7. Let d(h) = 3*h**2 + 8*h + 2. Let v(q) = n*d(q) - 4*c(q). What is the second derivative of v(x) wrt x?\n' | b'4\n' | b'Suppose 3*n = 11*n - 112. Let c(r) = 10*r**2 + 25*r + 7. Let d(h) = 3*h**2 + 8*h + 2. Let v(q) = n*d(q) - 4*c(q). What is the second derivative of v(x) wrt x?\n' | b'4\n' | deepmind/math_dataset |
b'Let v(o) = -o**3 - o**2 + o + 1. Suppose -16 = -p - 4*s + 2*s, 4*p - s - 37 = 0. Suppose -5*q = -3*d + p, 2 = -q + 3*d - 2*d. Give v(q).\n' | b'3\n' | b'Let v(o) = -o**3 - o**2 + o + 1. Suppose -16 = -p - 4*s + 2*s, 4*p - s - 37 = 0. Suppose -5*q = -3*d + p, 2 = -q + 3*d - 2*d. Give v(q).\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (g/((g/g**(-1))/g))**21/(g**(2/3)/g**4) assuming g is positive.\n' | b'g**(10/3)\n' | b'Simplify (g/((g/g**(-1))/g))**21/(g**(2/3)/g**4) assuming g is positive.\n' | b'g**(10/3)\n' | deepmind/math_dataset |
b'Let k = 4 + -7. Let h(t) = -2*t**3 - 4 + 6*t**2 - 2*t**2 + 3*t**3. Determine h(k).\n' | b'5\n' | b'Let k = 4 + -7. Let h(t) = -2*t**3 - 4 + 6*t**2 - 2*t**2 + 3*t**3. Determine h(k).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify (q*q*q*(q/q**(-2))/q*q**(2/13)/q*(q/(q/((q*q/q**(-1/4)*q)/q)))**(12/11))/((q**(1/2))**(-1/44)*q**(-3)/q**(4/9)) assuming q is positive.\n' | b'q**(103621/10296)\n' | b'Simplify (q*q*q*(q/q**(-2))/q*q**(2/13)/q*(q/(q/((q*q/q**(-1/4)*q)/q)))**(12/11))/((q**(1/2))**(-1/44)*q**(-3)/q**(4/9)) assuming q is positive.\n' | b'q**(103621/10296)\n' | deepmind/math_dataset |
b'What is prob of sequence pi when two letters picked without replacement from {i: 1, w: 1, p: 1}?\n' | b'1/6\n' | b'What is prob of sequence pi when two letters picked without replacement from {i: 1, w: 1, p: 1}?\n' | b'1/6\n' | deepmind/math_dataset |
b'What is the second derivative of -6*c**3 - 11*c - 5*c - 8*c**3 wrt c?\n' | b'-84*c\n' | b'What is the second derivative of -6*c**3 - 11*c - 5*c - 8*c**3 wrt c?\n' | b'-84*c\n' | deepmind/math_dataset |
b'Simplify ((((y**(-8)/y)/(y*y**(-1)*y))/(((y**(-11)*y)/y)/(y/((y*y**(2/21))/y))))**(-13/3))**(-4/29) assuming y is positive.\n' | b'y**(2080/1827)\n' | b'Simplify ((((y**(-8)/y)/(y*y**(-1)*y))/(((y**(-11)*y)/y)/(y/((y*y**(2/21))/y))))**(-13/3))**(-4/29) assuming y is positive.\n' | b'y**(2080/1827)\n' | deepmind/math_dataset |
b'Let o be -10 + (-1)/7 + (-100)/35. Let r be o/26 - (-1)/2. Solve -3*l + g = 4*g - 21, r = -2*g + 6 for l.\n' | b'4\n' | b'Let o be -10 + (-1)/7 + (-100)/35. Let r be o/26 - (-1)/2. Solve -3*l + g = 4*g - 21, r = -2*g + 6 for l.\n' | b'4\n' | deepmind/math_dataset |
b'Let u(d) be the second derivative of -2*d**7/7 + 19*d**6/30 - 19*d**4/3 - d**3/2 - 159*d + 3. What is the third derivative of u(j) wrt j?\n' | b'-720*j**2 + 456*j\n' | b'Let u(d) be the second derivative of -2*d**7/7 + 19*d**6/30 - 19*d**4/3 - d**3/2 - 159*d + 3. What is the third derivative of u(j) wrt j?\n' | b'-720*j**2 + 456*j\n' | deepmind/math_dataset |
b'Let r(s) = -3*s**3 + 11*s**2 - 3*s + 6. Let t(i) = -4*i**3 + 12*i**2 - 2*i + 7. Suppose 24*c = 33*c + 45. Let h(n) = c*r(n) + 4*t(n). Give h(-8).\n' | b'6\n' | b'Let r(s) = -3*s**3 + 11*s**2 - 3*s + 6. Let t(i) = -4*i**3 + 12*i**2 - 2*i + 7. Suppose 24*c = 33*c + 45. Let h(n) = c*r(n) + 4*t(n). Give h(-8).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence ddd when three letters picked without replacement from {d: 6}.\n' | b'1\n' | b'Calculate prob of sequence ddd when three letters picked without replacement from {d: 6}.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (m**(-1/14)*m**7)**(-1/3) assuming m is positive.\n' | b'm**(-97/42)\n' | b'Simplify (m**(-1/14)*m**7)**(-1/3) assuming m is positive.\n' | b'm**(-97/42)\n' | deepmind/math_dataset |
b'Simplify ((((p*(p*p*p/((p*p**(-2/21))/p))/p*p*p)/p)/(((p/((p/((p/(p*p*p**(-3)))/p))/p))/p)/p))/((p*p**(4/3))/p**(-3)))**(-24) assuming p is positive.\n' | b'p**(208/7)\n' | b'Simplify ((((p*(p*p*p/((p*p**(-2/21))/p))/p*p*p)/p)/(((p/((p/((p/(p*p*p**(-3)))/p))/p))/p)/p))/((p*p**(4/3))/p**(-3)))**(-24) assuming p is positive.\n' | b'p**(208/7)\n' | deepmind/math_dataset |
b'Simplify (h*h**(-1/4))**(-3/10)/(h**(-2/5))**31 assuming h is positive.\n' | b'h**(487/40)\n' | b'Simplify (h*h**(-1/4))**(-3/10)/(h**(-2/5))**31 assuming h is positive.\n' | b'h**(487/40)\n' | deepmind/math_dataset |
b'Let k(c) = c**3 + 5*c**2 + 7*c + 6. Let s be k(-6). Let t = 75 + s. Let o(v) = 2*v + 1. Give o(t).\n' | b'7\n' | b'Let k(c) = c**3 + 5*c**2 + 7*c + 6. Let s be k(-6). Let t = 75 + s. Let o(v) = 2*v + 1. Give o(t).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (l*l*(l*l/(l*l/l**(11/2))*l)/l)**(-38) assuming l is positive.\n' | b'l**(-285)\n' | b'Simplify (l*l*(l*l/(l*l/l**(11/2))*l)/l)**(-38) assuming l is positive.\n' | b'l**(-285)\n' | deepmind/math_dataset |
b'Calculate prob of sequence offf when four letters picked without replacement from ofooofof.\n' | b'1/56\n' | b'Calculate prob of sequence offf when four letters picked without replacement from ofooofof.\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify ((l*l/(l/l**9))**34/((l/(l*l**19))/l**(-6)))**(-34) assuming l is positive.\n' | b'l**(-12002)\n' | b'Simplify ((l*l/(l/l**9))**34/((l/(l*l**19))/l**(-6)))**(-34) assuming l is positive.\n' | b'l**(-12002)\n' | deepmind/math_dataset |
b'Let c = 91 - 87. Let k be (22/(-6))/(c/(-12) - 0). Solve 4*w - 4*j + k + 9 = 0, 0 = 2*w - 3*j + 15 for w.\n' | b'0\n' | b'Let c = 91 - 87. Let k be (22/(-6))/(c/(-12) - 0). Solve 4*w - 4*j + k + 9 = 0, 0 = 2*w - 3*j + 15 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Find the third derivative of 42*z**5 + 93*z**2 + 53*z**2 - 24*z**2 wrt z.\n' | b'2520*z**2\n' | b'Find the third derivative of 42*z**5 + 93*z**2 + 53*z**2 - 24*z**2 wrt z.\n' | b'2520*z**2\n' | deepmind/math_dataset |
b'Simplify (((t/(t/t**(-1/4)*t))/t)**43*t**(-2/9)*t*t**4)**(-42) assuming t is positive.\n' | b't**(23177/6)\n' | b'Simplify (((t/(t/t**(-1/4)*t))/t)**43*t**(-2/9)*t*t**4)**(-42) assuming t is positive.\n' | b't**(23177/6)\n' | deepmind/math_dataset |
b'Suppose -4*o + 4*r + 16 = 0, 3*o + 4312*r - 12 = 4316*r. Suppose -d - 69 = 3*m - 5*m, 0 = -5*m + 3*d + 171. Solve o*g - 5*j - m + 9 = 0, 5*g = 5*j + 30 for g.\n' | b'3\n' | b'Suppose -4*o + 4*r + 16 = 0, 3*o + 4312*r - 12 = 4316*r. Suppose -d - 69 = 3*m - 5*m, 0 = -5*m + 3*d + 171. Solve o*g - 5*j - m + 9 = 0, 5*g = 5*j + 30 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from yaayuyayla. What is prob of sequence ly?\n' | b'2/45\n' | b'Two letters picked without replacement from yaayuyayla. What is prob of sequence ly?\n' | b'2/45\n' | deepmind/math_dataset |
b'Let g be (10/(-4))/(10/(-20)). Let r(h) = 3*h**2 - 10*h - 12. Let l = -41 - -46. Let x be r(l). Solve c + g*i = -8 - 5, 2*c = 3*i + x for c.\n' | b'2\n' | b'Let g be (10/(-4))/(10/(-20)). Let r(h) = 3*h**2 - 10*h - 12. Let l = -41 - -46. Let x be r(l). Solve c + g*i = -8 - 5, 2*c = 3*i + x for c.\n' | b'2\n' | deepmind/math_dataset |
b'Let u(m) be the first derivative of -43*m**3 + 31*m**2/2 - 100. What is the second derivative of u(y) wrt y?\n' | b'-258\n' | b'Let u(m) be the first derivative of -43*m**3 + 31*m**2/2 - 100. What is the second derivative of u(y) wrt y?\n' | b'-258\n' | deepmind/math_dataset |
b'Let y(n) = -1 - 1 + 0 - n. Let j be y(-5). Find the second derivative of 3*r**4 - r + 2*r**4 - j*r**4 wrt r.\n' | b'24*r**2\n' | b'Let y(n) = -1 - 1 + 0 - n. Let j be y(-5). Find the second derivative of 3*r**4 - r + 2*r**4 - j*r**4 wrt r.\n' | b'24*r**2\n' | deepmind/math_dataset |
b'Simplify (((x/x**2)/x)/x)**(-2)*(x/x**(-4/5))**(2/127) assuming x is positive.\n' | b'x**(3828/635)\n' | b'Simplify (((x/x**2)/x)/x)**(-2)*(x/x**(-4/5))**(2/127) assuming x is positive.\n' | b'x**(3828/635)\n' | deepmind/math_dataset |
b'Let y(k) be the third derivative of -1357*k**8/168 - 2479*k**4/24 - 2824*k**2. What is the second derivative of y(x) wrt x?\n' | b'-54280*x**3\n' | b'Let y(k) be the third derivative of -1357*k**8/168 - 2479*k**4/24 - 2824*k**2. What is the second derivative of y(x) wrt x?\n' | b'-54280*x**3\n' | deepmind/math_dataset |
b'Let i(y) be the third derivative of 17*y**9/126 + y**5/30 + 17*y**3/6 - 24*y**2 + 1. What is the third derivative of i(g) wrt g?\n' | b'8160*g**3\n' | b'Let i(y) be the third derivative of 17*y**9/126 + y**5/30 + 17*y**3/6 - 24*y**2 + 1. What is the third derivative of i(g) wrt g?\n' | b'8160*g**3\n' | deepmind/math_dataset |
b'Simplify (j**22)**(-2/5)/((j*j**20)/(j**(-22)*j)) assuming j is positive.\n' | b'j**(-254/5)\n' | b'Simplify (j**22)**(-2/5)/((j*j**20)/(j**(-22)*j)) assuming j is positive.\n' | b'j**(-254/5)\n' | deepmind/math_dataset |
b'Simplify ((g**(-5/7)/((g*g**(-1/63)*g)/g))**(-4/21))**(-12) assuming g is positive.\n' | b'g**(-1712/441)\n' | b'Simplify ((g**(-5/7)/((g*g**(-1/63)*g)/g))**(-4/21))**(-12) assuming g is positive.\n' | b'g**(-1712/441)\n' | deepmind/math_dataset |
b'Let r(a) = 2*a**2 - 47*a + 28. Let q(n) = n + 17. Let k be q(6). Let i be r(k). Solve 0 = 2*h - y + 3, i*h + y - 6 = -y for h.\n' | b'0\n' | b'Let r(a) = 2*a**2 - 47*a + 28. Let q(n) = n + 17. Let k be q(6). Let i be r(k). Solve 0 = 2*h - y + 3, i*h + y - 6 = -y for h.\n' | b'0\n' | deepmind/math_dataset |
b'Let u(f) = -3*f**3 - 3*f**2 + 2*f + 4. Let h(g) = -g**3 + 1. Let m(i) = -4*h(i) + u(i). Let z be m(3). Solve -n = -z*s + s + 15, 2*s + 11 = -3*n for s.\n' | b'2\n' | b'Let u(f) = -3*f**3 - 3*f**2 + 2*f + 4. Let h(g) = -g**3 + 1. Let m(i) = -4*h(i) + u(i). Let z be m(3). Solve -n = -z*s + s + 15, 2*s + 11 = -3*n for s.\n' | b'2\n' | deepmind/math_dataset |
b'Let h be -4*2*9/(-24). Solve -4*l = 5*m - 8, -2*m = -h*m for l.\n' | b'2\n' | b'Let h be -4*2*9/(-24). Solve -4*l = 5*m - 8, -2*m = -h*m for l.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 11, r: 1, e: 3}. Give prob of sequence ek.\n' | b'11/70\n' | b'Two letters picked without replacement from {k: 11, r: 1, e: 3}. Give prob of sequence ek.\n' | b'11/70\n' | deepmind/math_dataset |
b'Simplify v*(v**(-1/2)/v*v)/v*v/(v/(((v/(v*v/v**(-16)))/v)/v))*((v/(v*v*v**(-18)))/v)/v*v*v*v/(v*v**(-14)) assuming v is positive.\n' | b'v**(23/2)\n' | b'Simplify v*(v**(-1/2)/v*v)/v*v/(v/(((v/(v*v/v**(-16)))/v)/v))*((v/(v*v*v**(-18)))/v)/v*v*v*v/(v*v**(-14)) assuming v is positive.\n' | b'v**(23/2)\n' | deepmind/math_dataset |
b'Suppose 3*r + f - 1 = 0, 15 = 5*r - f - 0*f. Suppose -5*z - z - 132 = 0. Let x = -15 - z. Solve -2*d + 4*d = 6, -r*d = -w - x for w.\n' | b'-1\n' | b'Suppose 3*r + f - 1 = 0, 15 = 5*r - f - 0*f. Suppose -5*z - z - 132 = 0. Let x = -15 - z. Solve -2*d + 4*d = 6, -r*d = -w - x for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Let j be (5/3)/((-55)/(-198)). Let o(i) = -18*i - 23. Let d(m) = -17*m - 23. Let t(y) = j*o(y) - 7*d(y). What is the derivative of t(v) wrt v?\n' | b'11\n' | b'Let j be (5/3)/((-55)/(-198)). Let o(i) = -18*i - 23. Let d(m) = -17*m - 23. Let t(y) = j*o(y) - 7*d(y). What is the derivative of t(v) wrt v?\n' | b'11\n' | deepmind/math_dataset |
b'Let h(f) be the first derivative of -13*f**2/2 - 3*f + 81. Let y be (1 + 1)/((4 + -1)/(-3)). What is h(y)?\n' | b'23\n' | b'Let h(f) be the first derivative of -13*f**2/2 - 3*f + 81. Let y be (1 + 1)/((4 + -1)/(-3)). What is h(y)?\n' | b'23\n' | deepmind/math_dataset |
b'Let w be (35 - 35)/((-10)/2). Let q(p) be the second derivative of 1/6*p**3 + 19/2*p**2 + 0 - 4*p. Determine q(w).\n' | b'19\n' | b'Let w be (35 - 35)/((-10)/2). Let q(p) be the second derivative of 1/6*p**3 + 19/2*p**2 + 0 - 4*p. Determine q(w).\n' | b'19\n' | deepmind/math_dataset |
b'Let f be (-370)/(-2035) + (-1)/22*-62. Solve 3*y = -2*j + 11, -f*y - 4*j + 29 = 10 for y.\n' | b'1\n' | b'Let f be (-370)/(-2035) + (-1)/22*-62. Solve 3*y = -2*j + 11, -f*y - 4*j + 29 = 10 for y.\n' | b'1\n' | deepmind/math_dataset |
b'Find the third derivative of 4*s**3 - 7*s**3 + 6*s**2 - 16*s**2 - 4*s**3 wrt s.\n' | b'-42\n' | b'Find the third derivative of 4*s**3 - 7*s**3 + 6*s**2 - 16*s**2 - 4*s**3 wrt s.\n' | b'-42\n' | deepmind/math_dataset |
b'Let n be 62 + -59 + 1 + 1. Solve 3*j + 2*d + 0 = 5, -7 = -2*j - n*d for j.\n' | b'1\n' | b'Let n be 62 + -59 + 1 + 1. Solve 3*j + 2*d + 0 = 5, -7 = -2*j - n*d for j.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (((u*u**(-3/37))/u**(-26/7))/(u**(-3/4)/u**32))**(-21) assuming u is positive.\n' | b'u**(-116187/148)\n' | b'Simplify (((u*u**(-3/37))/u**(-26/7))/(u**(-3/4)/u**32))**(-21) assuming u is positive.\n' | b'u**(-116187/148)\n' | deepmind/math_dataset |
b'Simplify ((b**(-1/12)*b)**(-2/31))**(-9/11) assuming b is positive.\n' | b'b**(3/62)\n' | b'Simplify ((b**(-1/12)*b)**(-2/31))**(-9/11) assuming b is positive.\n' | b'b**(3/62)\n' | deepmind/math_dataset |
b'Let w(x) be the second derivative of x**6/30 + x**5/10 + 313*x**4/12 + 1345*x**2 - 13*x + 185. What is the first derivative of w(f) wrt f?\n' | b'4*f**3 + 6*f**2 + 626*f\n' | b'Let w(x) be the second derivative of x**6/30 + x**5/10 + 313*x**4/12 + 1345*x**2 - 13*x + 185. What is the first derivative of w(f) wrt f?\n' | b'4*f**3 + 6*f**2 + 626*f\n' | deepmind/math_dataset |
b'Let f(n) = n**2 - 19*n + 24. Let a be f(13). Let m = 58 + a. Solve m*y = z + 4*z + 28, -z + 6 = 5*y for y.\n' | b'2\n' | b'Let f(n) = n**2 - 19*n + 24. Let a be f(13). Let m = 58 + a. Solve m*y = z + 4*z + 28, -z + 6 = 5*y for y.\n' | b'2\n' | deepmind/math_dataset |
b'Find the first derivative of -1703*p - 3541*p - 2452*p - 5837 wrt p.\n' | b'-7696\n' | b'Find the first derivative of -1703*p - 3541*p - 2452*p - 5837 wrt p.\n' | b'-7696\n' | deepmind/math_dataset |
b'Calculate prob of sequence sl when two letters picked without replacement from lsu.\n' | b'1/6\n' | b'Calculate prob of sequence sl when two letters picked without replacement from lsu.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify ((g**(2/3))**(1/87))**10/(g**(3/2)/(g*g**6)*(g/g**(1/4))**14) assuming g is positive.\n' | b'g**(-1285/261)\n' | b'Simplify ((g**(2/3))**(1/87))**10/(g**(3/2)/(g*g**6)*(g/g**(1/4))**14) assuming g is positive.\n' | b'g**(-1285/261)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, d: 1, m: 2, p: 2, u: 1}. What is prob of sequence ym?\n' | b'1/21\n' | b'Two letters picked without replacement from {y: 1, d: 1, m: 2, p: 2, u: 1}. What is prob of sequence ym?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from xxaaxaxd. Give prob of sequence ax.\n' | b'3/14\n' | b'Two letters picked without replacement from xxaaxaxd. Give prob of sequence ax.\n' | b'3/14\n' | deepmind/math_dataset |
b'Let h be (-88)/(-2) + (-5 - -1). Suppose 4*u - h + 28 = 0. Suppose 3*s - 5*x - 47 = 0, 2*s - 4*x - 35 = -1. Solve -3*i - s = 2*g, u*i = 4*g - 16 - 11 for g.\n' | b'3\n' | b'Let h be (-88)/(-2) + (-5 - -1). Suppose 4*u - h + 28 = 0. Suppose 3*s - 5*x - 47 = 0, 2*s - 4*x - 35 = -1. Solve -3*i - s = 2*g, u*i = 4*g - 16 - 11 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -3*o + 1 = -5. Suppose -o*s + 2*w + 12 = 0, -2*w - 1 - 1 = 0. Let j be (-2)/2*3 + 3. Solve 1 = -2*g - k, j = 4*k - 3*k + s for g.\n' | b'2\n' | b'Suppose -3*o + 1 = -5. Suppose -o*s + 2*w + 12 = 0, -2*w - 1 - 1 = 0. Let j be (-2)/2*3 + 3. Solve 1 = -2*g - k, j = 4*k - 3*k + s for g.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from dnndnd. What is prob of sequence dnnn?\n' | b'1/20\n' | b'Four letters picked without replacement from dnndnd. What is prob of sequence dnnn?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify (a**33*a**(-15))/((a/a**(-5/7)*a)/((a/((a*a*(a*a**39)/a*a)/a)*a)/a)) assuming a is positive.\n' | b'a**(-173/7)\n' | b'Simplify (a**33*a**(-15))/((a/a**(-5/7)*a)/((a/((a*a*(a*a**39)/a*a)/a)*a)/a)) assuming a is positive.\n' | b'a**(-173/7)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from buu. Give prob of sequence ub.\n' | b'1/3\n' | b'Two letters picked without replacement from buu. Give prob of sequence ub.\n' | b'1/3\n' | deepmind/math_dataset |
b'Find the second derivative of -3230*s**3 + 2555*s - 3569 + 891*s**3 + 3569 wrt s.\n' | b'-14034*s\n' | b'Find the second derivative of -3230*s**3 + 2555*s - 3569 + 891*s**3 + 3569 wrt s.\n' | b'-14034*s\n' | deepmind/math_dataset |
b'Find the second derivative of -v**5 + 7*v + 4*v**5 + 2*v**5 wrt v.\n' | b'100*v**3\n' | b'Find the second derivative of -v**5 + 7*v + 4*v**5 + 2*v**5 wrt v.\n' | b'100*v**3\n' | deepmind/math_dataset |
b'What is prob of sequence yyg when three letters picked without replacement from {g: 5, y: 2, f: 5}?\n' | b'1/132\n' | b'What is prob of sequence yyg when three letters picked without replacement from {g: 5, y: 2, f: 5}?\n' | b'1/132\n' | deepmind/math_dataset |
b'Let n(t) = t**3 - 2*t**2 - 3*t + 12. Let z(g) = -1 + 4 + 6 + 8 - 15. Let h(q) = -n(q) + 6*z(q). Give h(-2).\n' | b'10\n' | b'Let n(t) = t**3 - 2*t**2 - 3*t + 12. Let z(g) = -1 + 4 + 6 + 8 - 15. Let h(q) = -n(q) + 6*z(q). Give h(-2).\n' | b'10\n' | deepmind/math_dataset |
b'Simplify ((((b**13*b)/b)/b)/(b*b*b**17*b))/(b**(-3/13)/b**14) assuming b is positive.\n' | b'b**(81/13)\n' | b'Simplify ((((b**13*b)/b)/b)/(b*b*b**17*b))/(b**(-3/13)/b**14) assuming b is positive.\n' | b'b**(81/13)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 n and 1 j when three letters picked without replacement from jbbbnbn.\n' | b'1/35\n' | b'Calculate prob of picking 2 n and 1 j when three letters picked without replacement from jbbbnbn.\n' | b'1/35\n' | deepmind/math_dataset |
b'Simplify (((j*j**(-1/4))/j)**(-20)/(j**(-1))**(1/41))**6 assuming j is positive.\n' | b'j**(1236/41)\n' | b'Simplify (((j*j**(-1/4))/j)**(-20)/(j**(-1))**(1/41))**6 assuming j is positive.\n' | b'j**(1236/41)\n' | deepmind/math_dataset |
b'Simplify (p**(2/11))**(1/19)*(p**(-14))**(2/33) assuming p is positive.\n' | b'p**(-526/627)\n' | b'Simplify (p**(2/11))**(1/19)*(p**(-14))**(2/33) assuming p is positive.\n' | b'p**(-526/627)\n' | deepmind/math_dataset |
b'Let w(j) = -885*j**2 - 723*j + 10. Let t(y) = 887*y**2 + 724*y - 12. Let u(o) = 5*t(o) + 6*w(o). Find the second derivative of u(h) wrt h.\n' | b'-1750\n' | b'Let w(j) = -885*j**2 - 723*j + 10. Let t(y) = 887*y**2 + 724*y - 12. Let u(o) = 5*t(o) + 6*w(o). Find the second derivative of u(h) wrt h.\n' | b'-1750\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, k: 3, g: 1, t: 6, h: 1, v: 4}. What is prob of sequence eg?\n' | b'1/240\n' | b'Two letters picked without replacement from {e: 1, k: 3, g: 1, t: 6, h: 1, v: 4}. What is prob of sequence eg?\n' | b'1/240\n' | deepmind/math_dataset |
b'Let a(i) = 2207*i**3 + 9*i**2 - 391*i + 5. Let y(x) = -2213*x**3 - 10*x**2 + 392*x - 6. Let o(h) = 6*a(h) + 5*y(h). Find the third derivative of o(l) wrt l.\n' | b'13062\n' | b'Let a(i) = 2207*i**3 + 9*i**2 - 391*i + 5. Let y(x) = -2213*x**3 - 10*x**2 + 392*x - 6. Let o(h) = 6*a(h) + 5*y(h). Find the third derivative of o(l) wrt l.\n' | b'13062\n' | deepmind/math_dataset |
b'Let h(c) = c**2. Let k = 3 + 0. Suppose -k = 3*z - 6. What is h(z)?\n' | b'1\n' | b'Let h(c) = c**2. Let k = 3 + 0. Suppose -k = 3*z - 6. What is h(z)?\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 2, f: 2, r: 1, o: 2, n: 1}. What is prob of sequence or?\n' | b'1/28\n' | b'Two letters picked without replacement from {i: 2, f: 2, r: 1, o: 2, n: 1}. What is prob of sequence or?\n' | b'1/28\n' | deepmind/math_dataset |
b'Simplify (o/(o*o**(-3/10)*o))/(o*o**(-18))*o*o**(3/20)*o**24 assuming o is positive.\n' | b'o**(829/20)\n' | b'Simplify (o/(o*o**(-3/10)*o))/(o*o**(-18))*o*o**(3/20)*o**24 assuming o is positive.\n' | b'o**(829/20)\n' | deepmind/math_dataset |
b'Let x be 5 + 2/2 + -2. Suppose -x = -2*q + 8. Find the third derivative of -4*b**q + 5*b**4 - 5*b**4 - 2*b**2 wrt b.\n' | b'-480*b**3\n' | b'Let x be 5 + 2/2 + -2. Suppose -x = -2*q + 8. Find the third derivative of -4*b**q + 5*b**4 - 5*b**4 - 2*b**2 wrt b.\n' | b'-480*b**3\n' | deepmind/math_dataset |
b'Let a = -578 - -581. Let c(q) be the third derivative of q**6/120 - q**5/20 + q**4/12 - q**3/3 - 5*q**2. Calculate c(a).\n' | b'4\n' | b'Let a = -578 - -581. Let c(q) be the third derivative of q**6/120 - q**5/20 + q**4/12 - q**3/3 - 5*q**2. Calculate c(a).\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence ii when two letters picked without replacement from {u: 6, z: 3, i: 4}?\n' | b'1/13\n' | b'What is prob of sequence ii when two letters picked without replacement from {u: 6, z: 3, i: 4}?\n' | b'1/13\n' | deepmind/math_dataset |
b'Let b(f) be the first derivative of -3 + 3/4*f**4 + 0*f - 1/3*f**3 + 0*f**2. Find the third derivative of b(q) wrt q.\n' | b'18\n' | b'Let b(f) be the first derivative of -3 + 3/4*f**4 + 0*f - 1/3*f**3 + 0*f**2. Find the third derivative of b(q) wrt q.\n' | b'18\n' | deepmind/math_dataset |
b'Let z be (11/22)/((-3)/(-53 - 1)). What is the first derivative of 13 - 17*o - z - 6 wrt o?\n' | b'-17\n' | b'Let z be (11/22)/((-3)/(-53 - 1)). What is the first derivative of 13 - 17*o - z - 6 wrt o?\n' | b'-17\n' | deepmind/math_dataset |
b'Let c(m) = m**2 - 3*m. Suppose -2*b - 19 = -5*k, -2*b + 3*b = -k + 1. Let p be c(k). Solve 2*v = 5*t - 18, p = 3*v - 0 - 3 for t.\n' | b'4\n' | b'Let c(m) = m**2 - 3*m. Suppose -2*b - 19 = -5*k, -2*b + 3*b = -k + 1. Let p be c(k). Solve 2*v = 5*t - 18, p = 3*v - 0 - 3 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (a*a*a**14)/(a*((a**(-1/11)/a*a)/a)/a)*(a*a**(-4))**(-40) assuming a is positive.\n' | b'a**(1508/11)\n' | b'Simplify (a*a*a**14)/(a*((a**(-1/11)/a*a)/a)/a)*(a*a**(-4))**(-40) assuming a is positive.\n' | b'a**(1508/11)\n' | deepmind/math_dataset |
b'Let x(f) = f**3 - 12*f**2 - 12*f - 15. Let p be x(13). Let j(b) be the second derivative of b**5/20 - b**3/2 - b**2/2 + b. Determine j(p).\n' | b'-3\n' | b'Let x(f) = f**3 - 12*f**2 - 12*f - 15. Let p be x(13). Let j(b) be the second derivative of b**5/20 - b**3/2 - b**2/2 + b. Determine j(p).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (b/(b/b**(-2/9))*b)/((b/(b*b**(-2/5)*b))/b)*(b**6/b*b)/b*b**5*(b**3*b**(-1/3))/(b**(-1))**(-6/5) assuming b is positive.\n' | b'b**(623/45)\n' | b'Simplify (b/(b/b**(-2/9))*b)/((b/(b*b**(-2/5)*b))/b)*(b**6/b*b)/b*b**5*(b**3*b**(-1/3))/(b**(-1))**(-6/5) assuming b is positive.\n' | b'b**(623/45)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 y, 1 f, and 1 v when four letters picked without replacement from {s: 2, f: 4, v: 1, y: 3, m: 1, z: 1}.\n' | b'4/165\n' | b'Calculate prob of picking 2 y, 1 f, and 1 v when four letters picked without replacement from {s: 2, f: 4, v: 1, y: 3, m: 1, z: 1}.\n' | b'4/165\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lllllllllmllmmlllmll. Give prob of picking 4 m.\n' | b'1/4845\n' | b'Four letters picked without replacement from lllllllllmllmmlllmll. Give prob of picking 4 m.\n' | b'1/4845\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uuuuusuu. Give prob of picking 1 u and 1 s.\n' | b'1/4\n' | b'Two letters picked without replacement from uuuuusuu. Give prob of picking 1 u and 1 s.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let p(i) = -41 + 0*i**3 - 2*i - i**3 + 111 - 33 - 42 + 7*i**2. Calculate p(5).\n' | b'35\n' | b'Let p(i) = -41 + 0*i**3 - 2*i - i**3 + 111 - 33 - 42 + 7*i**2. Calculate p(5).\n' | b'35\n' | deepmind/math_dataset |
b'Suppose 4*g + 9 - 1 = -2*y, 4*y - 2 = -2*g. Let b = -4 - -6. Let x(d) = d**b - 2*d**2 + 0*d**y - 2*d + 3. What is x(-4)?\n' | b'-5\n' | b'Suppose 4*g + 9 - 1 = -2*y, 4*y - 2 = -2*g. Let b = -4 - -6. Let x(d) = d**b - 2*d**2 + 0*d**y - 2*d + 3. What is x(-4)?\n' | b'-5\n' | deepmind/math_dataset |
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