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 b(a) be the third derivative of 11*a**2 + 7/60*a**6 - 23/6*a**3 + 0*a + 0 + 0*a**4 + 0*a**5. What is the derivative of b(j) wrt j?\n' | b'42*j**2\n' | b'Let b(a) be the third derivative of 11*a**2 + 7/60*a**6 - 23/6*a**3 + 0*a + 0 + 0*a**4 + 0*a**5. What is the derivative of b(j) wrt j?\n' | b'42*j**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence kkmm when four letters picked without replacement from kffmmkfffummk.\n' | b'3/715\n' | b'Calculate prob of sequence kkmm when four letters picked without replacement from kffmmkfffummk.\n' | b'3/715\n' | deepmind/math_dataset |
b'Let u = 13344 + -13330. Let i(z) be the first derivative of 34/5*z**5 + 6*z**2 + 0*z**3 + u + 0*z + 0*z**4. What is the second derivative of i(x) wrt x?\n' | b'408*x**2\n' | b'Let u = 13344 + -13330. Let i(z) be the first derivative of 34/5*z**5 + 6*z**2 + 0*z**3 + u + 0*z + 0*z**4. What is the second derivative of i(x) wrt x?\n' | b'408*x**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence aafs when four letters picked without replacement from {a: 2, s: 3, w: 1, f: 1, e: 5}.\n' | b'1/1980\n' | b'Calculate prob of sequence aafs when four letters picked without replacement from {a: 2, s: 3, w: 1, f: 1, e: 5}.\n' | b'1/1980\n' | deepmind/math_dataset |
b'Let x = -2 + 3. Suppose x = i + 4. Let j(c) = c**3 + 2*c**2 - c + 4. What is j(i)?\n' | b'-2\n' | b'Let x = -2 + 3. Suppose x = i + 4. Let j(c) = c**3 + 2*c**2 - c + 4. What is j(i)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let f be (72/(-10))/(-1) - (-3)/(-15). What is the derivative of 2 - 12 - u**3 + f - 15 wrt u?\n' | b'-3*u**2\n' | b'Let f be (72/(-10))/(-1) - (-3)/(-15). What is the derivative of 2 - 12 - u**3 + f - 15 wrt u?\n' | b'-3*u**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qzgjcaajjzqa. Give prob of picking 1 g and 1 q.\n' | b'1/33\n' | b'Two letters picked without replacement from qzgjcaajjzqa. Give prob of picking 1 g and 1 q.\n' | b'1/33\n' | deepmind/math_dataset |
b'Let l(i) = i**5 + i**4 + i**2 + 1. Let u(f) = 403*f**6 + f**5 + f**4 - 665*f**2 + 1. Let d(w) = l(w) - u(w). Find the third derivative of d(s) wrt s.\n' | b'-48360*s**3\n' | b'Let l(i) = i**5 + i**4 + i**2 + 1. Let u(f) = 403*f**6 + f**5 + f**4 - 665*f**2 + 1. Let d(w) = l(w) - u(w). Find the third derivative of d(s) wrt s.\n' | b'-48360*s**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence wyyd when four letters picked without replacement from dwwwwywwywwywwyyyy.\n' | b'7/1224\n' | b'Calculate prob of sequence wyyd when four letters picked without replacement from dwwwwywwywwywwyyyy.\n' | b'7/1224\n' | deepmind/math_dataset |
b'Let n = 28 - 28. Solve 0 = 5*u, n = l - 6*l - 3*u for l.\n' | b'0\n' | b'Let n = 28 - 28. Solve 0 = 5*u, n = l - 6*l - 3*u for l.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 v when two letters picked without replacement from zfmfffffumummmfvf.\n' | b'1/136\n' | b'Calculate prob of picking 1 z and 1 v when two letters picked without replacement from zfmfffffumummmfvf.\n' | b'1/136\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nnnnwnnwnnnnwnan. Give prob of sequence nww.\n' | b'3/140\n' | b'Three letters picked without replacement from nnnnwnnwnnnnwnan. Give prob of sequence nww.\n' | b'3/140\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, m: 3, v: 3, r: 5}. What is prob of sequence mv?\n' | b'3/52\n' | b'Two letters picked without replacement from {q: 2, m: 3, v: 3, r: 5}. What is prob of sequence mv?\n' | b'3/52\n' | deepmind/math_dataset |
b'What is prob of sequence cn when two letters picked without replacement from icidicdpdcndrc?\n' | b'2/91\n' | b'What is prob of sequence cn when two letters picked without replacement from icidicdpdcndrc?\n' | b'2/91\n' | deepmind/math_dataset |
b'Simplify (j*((j/(j*j**0*j*j))/j)/j)**(-16)/(j/j**(-2/3)*j/((j*j**(-2/29))/j))*(j*(j/(j*j**(1/16))*j*j)/j)/(j/(j**(1/6)*j))*(j**(-1))**45 assuming j is positive.\n' | b'j**(1099/464)\n' | b'Simplify (j*((j/(j*j**0*j*j))/j)/j)**(-16)/(j/j**(-2/3)*j/((j*j**(-2/29))/j))*(j*(j/(j*j**(1/16))*j*j)/j)/(j/(j**(1/6)*j))*(j**(-1))**45 assuming j is positive.\n' | b'j**(1099/464)\n' | deepmind/math_dataset |
b'Simplify (b**(-5)*((b*b/b**3*b)/b)/b)/(b/(b/b**9))**12 assuming b is positive.\n' | b'b**(-115)\n' | b'Simplify (b**(-5)*((b*b/b**3*b)/b)/b)/(b/(b/b**9))**12 assuming b is positive.\n' | b'b**(-115)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {k: 4, p: 2, s: 9, m: 4, h: 1}. What is prob of sequence kmsp?\n' | b'4/1615\n' | b'Four letters picked without replacement from {k: 4, p: 2, s: 9, m: 4, h: 1}. What is prob of sequence kmsp?\n' | b'4/1615\n' | deepmind/math_dataset |
b'Suppose a + a - 5*a = 0. Differentiate -16 + 41*d - 2 + 2*d + a wrt d.\n' | b'43\n' | b'Suppose a + a - 5*a = 0. Differentiate -16 + 41*d - 2 + 2*d + a wrt d.\n' | b'43\n' | deepmind/math_dataset |
b'Differentiate 90*b + 1253 - 26*b**3 + 1029 + 3327 wrt b.\n' | b'-78*b**2 + 90\n' | b'Differentiate 90*b + 1253 - 26*b**3 + 1029 + 3327 wrt b.\n' | b'-78*b**2 + 90\n' | deepmind/math_dataset |
b'Let p(l) = -l**2 + 4*l - 6. Suppose 0 = 3*g - 8*g + 20. What is p(g)?\n' | b'-6\n' | b'Let p(l) = -l**2 + 4*l - 6. Suppose 0 = 3*g - 8*g + 20. What is p(g)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let j(u) = -3*u + 35. Let h be j(9). Suppose -1 = 7*w - h*w. Let x = w + -1. Solve -5*z = -4*g - 11, 2*z - 4*g = -x + 2 for z.\n' | b'3\n' | b'Let j(u) = -3*u + 35. Let h be j(9). Suppose -1 = 7*w - h*w. Let x = w + -1. Solve -5*z = -4*g - 11, 2*z - 4*g = -x + 2 for z.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ylf when three letters picked without replacement from hfwlwpwyppyhpl.\n' | b'1/546\n' | b'Calculate prob of sequence ylf when three letters picked without replacement from hfwlwpwyppyhpl.\n' | b'1/546\n' | deepmind/math_dataset |
b'Let g(o) = o + 4 - 138*o**3 + 0*o**2 + 137*o**3 - 3*o**2. Let k = 7 - 10. What is g(k)?\n' | b'1\n' | b'Let g(o) = o + 4 - 138*o**3 + 0*o**2 + 137*o**3 - 3*o**2. Let k = 7 - 10. What is g(k)?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((f**(-1/25)*f)**35)**(-3/20) assuming f is positive.\n' | b'f**(-126/25)\n' | b'Simplify ((f**(-1/25)*f)**35)**(-3/20) assuming f is positive.\n' | b'f**(-126/25)\n' | deepmind/math_dataset |
b'Simplify j*(j/j**27)/j*j*j*(j/(j/j**(13/3))*j)/j*(j**(-1))**32 assuming j is positive.\n' | b'j**(-155/3)\n' | b'Simplify j*(j/j**27)/j*j*j*(j/(j/j**(13/3))*j)/j*(j**(-1))**32 assuming j is positive.\n' | b'j**(-155/3)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from iqidiqi. What is prob of sequence qd?\n' | b'1/21\n' | b'Two letters picked without replacement from iqidiqi. What is prob of sequence qd?\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gmard. Give prob of picking 1 d and 3 a.\n' | b'0\n' | b'Four letters picked without replacement from gmard. Give prob of picking 1 d and 3 a.\n' | b'0\n' | deepmind/math_dataset |
b'What is prob of picking 3 i when three letters picked without replacement from iiiii?\n' | b'1\n' | b'What is prob of picking 3 i when three letters picked without replacement from iiiii?\n' | b'1\n' | deepmind/math_dataset |
b'Find the second derivative of 1227*x**2 + 9*x**3 - 1227*x**2 - x**4 - 1 + 2*x wrt x.\n' | b'-12*x**2 + 54*x\n' | b'Find the second derivative of 1227*x**2 + 9*x**3 - 1227*x**2 - x**4 - 1 + 2*x wrt x.\n' | b'-12*x**2 + 54*x\n' | deepmind/math_dataset |
b'Let i(m) = -19*m**4 + 4*m**3 - 4*m**2 - 4*m + 14. Let d(p) = p**4 + p**3 - p**2 - p - 1. Let x(k) = 4*d(k) - i(k). What is the first derivative of x(f) wrt f?\n' | b'92*f**3\n' | b'Let i(m) = -19*m**4 + 4*m**3 - 4*m**2 - 4*m + 14. Let d(p) = p**4 + p**3 - p**2 - p - 1. Let x(k) = 4*d(k) - i(k). What is the first derivative of x(f) wrt f?\n' | b'92*f**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kokkkkddodkdkddkkk. What is prob of sequence kddd?\n' | b'5/306\n' | b'Four letters picked without replacement from kokkkkddodkdkddkkk. What is prob of sequence kddd?\n' | b'5/306\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 n when three letters picked without replacement from {n: 9}.\n' | b'1\n' | b'Calculate prob of picking 3 n when three letters picked without replacement from {n: 9}.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 3, z: 1, w: 2, f: 5, r: 1}. What is prob of sequence rrzm?\n' | b'0\n' | b'Four letters picked without replacement from {m: 3, z: 1, w: 2, f: 5, r: 1}. What is prob of sequence rrzm?\n' | b'0\n' | deepmind/math_dataset |
b'Let p = -8 - 4. Let g be 6/p - (-21)/6. Solve 0 = 3*k + g*h, -k - 2*k - 4*h = 5 for k.\n' | b'5\n' | b'Let p = -8 - 4. Let g be 6/p - (-21)/6. Solve 0 = 3*k + g*h, -k - 2*k - 4*h = 5 for k.\n' | b'5\n' | deepmind/math_dataset |
b'What is prob of sequence bq when two letters picked without replacement from {j: 2, q: 1, l: 3, b: 6, i: 1}?\n' | b'1/26\n' | b'What is prob of sequence bq when two letters picked without replacement from {j: 2, q: 1, l: 3, b: 6, i: 1}?\n' | b'1/26\n' | deepmind/math_dataset |
b'Simplify (p**(-1/4)/(p*p*p/p**(6/11)*p))/(p**5/((p*p**3)/p)) assuming p is positive.\n' | b'p**(-251/44)\n' | b'Simplify (p**(-1/4)/(p*p*p/p**(6/11)*p))/(p**5/((p*p**3)/p)) assuming p is positive.\n' | b'p**(-251/44)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rxkhkjq. Give prob of picking 1 k and 1 h.\n' | b'2/21\n' | b'Two letters picked without replacement from rxkhkjq. Give prob of picking 1 k and 1 h.\n' | b'2/21\n' | deepmind/math_dataset |
b'Calculate prob of sequence eg when two letters picked without replacement from {y: 2, g: 1, q: 1, e: 1, v: 2, n: 1}.\n' | b'1/56\n' | b'Calculate prob of sequence eg when two letters picked without replacement from {y: 2, g: 1, q: 1, e: 1, v: 2, n: 1}.\n' | b'1/56\n' | deepmind/math_dataset |
b'What is prob of picking 2 i and 1 g when three letters picked without replacement from iggiiigigg?\n' | b'5/12\n' | b'What is prob of picking 2 i and 1 g when three letters picked without replacement from iggiiigigg?\n' | b'5/12\n' | deepmind/math_dataset |
b'What is prob of sequence szzz when four letters picked without replacement from {s: 4, z: 7}?\n' | b'7/66\n' | b'What is prob of sequence szzz when four letters picked without replacement from {s: 4, z: 7}?\n' | b'7/66\n' | deepmind/math_dataset |
b'Simplify (b**(-6)*b*b**(1/3)*(((b/b**(-1/2))/b)/b)**(7/9))**27 assuming b is positive.\n' | b'b**(-273/2)\n' | b'Simplify (b**(-6)*b*b**(1/3)*(((b/b**(-1/2))/b)/b)**(7/9))**27 assuming b is positive.\n' | b'b**(-273/2)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ede when three letters picked without replacement from {d: 12, e: 7}.\n' | b'28/323\n' | b'Calculate prob of sequence ede when three letters picked without replacement from {d: 12, e: 7}.\n' | b'28/323\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrjrrrrjrjmrnr. What is prob of sequence nr?\n' | b'9/182\n' | b'Two letters picked without replacement from rrjrrrrjrjmrnr. What is prob of sequence nr?\n' | b'9/182\n' | deepmind/math_dataset |
b'Simplify ((w/w**9)/w**5)**(1/56)/(((w/(w/(w*w**0)))/w)**(-20)/(w**(-1)*w)**(1/9)) assuming w is positive.\n' | b'w**(-13/56)\n' | b'Simplify ((w/w**9)/w**5)**(1/56)/(((w/(w/(w*w**0)))/w)**(-20)/(w**(-1)*w)**(1/9)) assuming w is positive.\n' | b'w**(-13/56)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 2, o: 3, k: 3, u: 9}. What is prob of picking 1 z and 1 u?\n' | b'9/68\n' | b'Two letters picked without replacement from {z: 2, o: 3, k: 3, u: 9}. What is prob of picking 1 z and 1 u?\n' | b'9/68\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 1 v, and 1 e when three letters picked without replacement from {e: 5, i: 1, v: 2, r: 11}.\n' | b'110/969\n' | b'Calculate prob of picking 1 r, 1 v, and 1 e when three letters picked without replacement from {e: 5, i: 1, v: 2, r: 11}.\n' | b'110/969\n' | deepmind/math_dataset |
b'Let q(n) = 2*n**2 - 7*n + 3. Let i(h) = 5*h**2 - 14*h + 6. Let c(o) = 3*i(o) - 7*q(o). Let b be c(-8). Solve 7 = b*w + g + g, 5*g = 2*w + 3 for w.\n' | b'1\n' | b'Let q(n) = 2*n**2 - 7*n + 3. Let i(h) = 5*h**2 - 14*h + 6. Let c(o) = 3*i(o) - 7*q(o). Let b be c(-8). Solve 7 = b*w + g + g, 5*g = 2*w + 3 for w.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*a = a. Let s = a - -1. Differentiate 1 - x**4 + s + 2*x**4 with respect to x.\n' | b'4*x**3\n' | b'Suppose 2*a = a. Let s = a - -1. Differentiate 1 - x**4 + s + 2*x**4 with respect to x.\n' | b'4*x**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, m: 1, z: 2}. Give prob of picking 1 y and 1 m.\n' | b'1/6\n' | b'Two letters picked without replacement from {y: 1, m: 1, z: 2}. Give prob of picking 1 y and 1 m.\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify (l**(-9)*l**(-1/3))/(l**(-2/21)/l**(1/4)) assuming l is positive.\n' | b'l**(-755/84)\n' | b'Simplify (l**(-9)*l**(-1/3))/(l**(-2/21)/l**(1/4)) assuming l is positive.\n' | b'l**(-755/84)\n' | deepmind/math_dataset |
b'Simplify (n**(-1)/n)**49*n**0/n**6 assuming n is positive.\n' | b'n**(-104)\n' | b'Simplify (n**(-1)/n)**49*n**0/n**6 assuming n is positive.\n' | b'n**(-104)\n' | deepmind/math_dataset |
b'Let z(w) be the first derivative of 8/3*w**3 + 0*w**6 + 0*w + 0*w**5 + 10 + 0*w**4 + 0*w**2 - w**7. What is the third derivative of z(t) wrt t?\n' | b'-840*t**3\n' | b'Let z(w) be the first derivative of 8/3*w**3 + 0*w**6 + 0*w + 0*w**5 + 10 + 0*w**4 + 0*w**2 - w**7. What is the third derivative of z(t) wrt t?\n' | b'-840*t**3\n' | deepmind/math_dataset |
b'Simplify u/(u*u*u**3*u)*u*u*(u*(u*u*(u*u**7*u)/u)/u)/u*(u**(-1/2)*u)**(1/79) assuming u is positive.\n' | b'u**(949/158)\n' | b'Simplify u/(u*u*u**3*u)*u*u*(u*(u*u*(u*u**7*u)/u)/u)/u*(u**(-1/2)*u)**(1/79) assuming u is positive.\n' | b'u**(949/158)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ls when two letters picked without replacement from {a: 2, l: 2, s: 1}.\n' | b'1/10\n' | b'Calculate prob of sequence ls when two letters picked without replacement from {a: 2, l: 2, s: 1}.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let v(f) = -7*f**3 + 4*f**2 + 5*f + 8. Let b(t) = 6*t**3 - 4*t**2 - 4*t - 7. Suppose -2 = 5*l + 28. Let o(d) = l*b(d) - 5*v(d). Calculate o(3).\n' | b'8\n' | b'Let v(f) = -7*f**3 + 4*f**2 + 5*f + 8. Let b(t) = 6*t**3 - 4*t**2 - 4*t - 7. Suppose -2 = 5*l + 28. Let o(d) = l*b(d) - 5*v(d). Calculate o(3).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (k**(-2/7))**(26/3)*k/k**2*(k/((((k**(2/5)/k)/k*k*k)/k)/k))/k assuming k is positive.\n' | b'k**(-197/105)\n' | b'Simplify (k**(-2/7))**(26/3)*k/k**2*(k/((((k**(2/5)/k)/k*k*k)/k)/k))/k assuming k is positive.\n' | b'k**(-197/105)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {s: 1, w: 2, b: 3, x: 1}. Give prob of picking 1 s, 1 b, 1 w, and 1 x.\n' | b'6/35\n' | b'Four letters picked without replacement from {s: 1, w: 2, b: 3, x: 1}. Give prob of picking 1 s, 1 b, 1 w, and 1 x.\n' | b'6/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {x: 1, p: 3, u: 1, z: 2, w: 2, c: 6}. What is prob of picking 1 z and 1 w?\n' | b'4/105\n' | b'Two letters picked without replacement from {x: 1, p: 3, u: 1, z: 2, w: 2, c: 6}. What is prob of picking 1 z and 1 w?\n' | b'4/105\n' | deepmind/math_dataset |
b'Suppose k = -5*w - 4*k - 5, -2*w - 12 = 4*k. Solve 2*q - 8 = -2*g, 3*g = -q + w*g - 2 for q.\n' | b'1\n' | b'Suppose k = -5*w - 4*k - 5, -2*w - 12 = 4*k. Solve 2*q - 8 = -2*g, 3*g = -q + w*g - 2 for q.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {w: 5, b: 7, c: 2}.\n' | b'3/26\n' | b'Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {w: 5, b: 7, c: 2}.\n' | b'3/26\n' | deepmind/math_dataset |
b'Suppose d + 2 = 4*p, -p + 3*p - d - 2 = 0. Let x(k) be the first derivative of 2*k - 2 + p*k**3 - 2/5*k**5 + 0*k**4 + 0*k**2. Differentiate x(o) wrt o.\n' | b'-8*o**3\n' | b'Suppose d + 2 = 4*p, -p + 3*p - d - 2 = 0. Let x(k) be the first derivative of 2*k - 2 + p*k**3 - 2/5*k**5 + 0*k**4 + 0*k**2. Differentiate x(o) wrt o.\n' | b'-8*o**3\n' | deepmind/math_dataset |
b'Let a(o) = o**3 + 5*o**2 - 6*o - 6. Let c be a(-6). Let g(f) = f**2 + 6*f + 1. What is g(c)?\n' | b'1\n' | b'Let a(o) = o**3 + 5*o**2 - 6*o - 6. Let c be a(-6). Let g(f) = f**2 + 6*f + 1. What is g(c)?\n' | b'1\n' | deepmind/math_dataset |
b'Let u be (-27)/3 - (-77 + 64). Let m(w) = -4*w + 17. Calculate m(u).\n' | b'1\n' | b'Let u be (-27)/3 - (-77 + 64). Let m(w) = -4*w + 17. Calculate m(u).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -2*b + 23*c = 26*c - 21, b + 4*c - 23 = 0. Solve 0 = -2*p - 5*q - 1 - b, -q = -4*p - 8 for p.\n' | b'-2\n' | b'Suppose -2*b + 23*c = 26*c - 21, b + 4*c - 23 = 0. Solve 0 = -2*p - 5*q - 1 - b, -q = -4*p - 8 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((q**(2/9)/q)/q*q)**35*q*q/q**(4/5)*q*q**(-26) assuming q is positive.\n' | b'q**(-2296/45)\n' | b'Simplify ((q**(2/9)/q)/q*q)**35*q*q/q**(4/5)*q*q**(-26) assuming q is positive.\n' | b'q**(-2296/45)\n' | deepmind/math_dataset |
b'Simplify (k/(k*k*k**(-1/9)*k)*k)**28 assuming k is positive.\n' | b'k**(-224/9)\n' | b'Simplify (k/(k*k*k**(-1/9)*k)*k)**28 assuming k is positive.\n' | b'k**(-224/9)\n' | deepmind/math_dataset |
b'Simplify ((y**0/y)**(1/18))**(11/4) assuming y is positive.\n' | b'y**(-11/72)\n' | b'Simplify ((y**0/y)**(1/18))**(11/4) assuming y is positive.\n' | b'y**(-11/72)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 3, y: 9}. Give prob of picking 1 a and 1 y.\n' | b'9/22\n' | b'Two letters picked without replacement from {a: 3, y: 9}. Give prob of picking 1 a and 1 y.\n' | b'9/22\n' | deepmind/math_dataset |
b'Let v(l) be the first derivative of -2*l**3/3 - 3*l**2/2 - 2*l + 229. What is v(-2)?\n' | b'-4\n' | b'Let v(l) be the first derivative of -2*l**3/3 - 3*l**2/2 - 2*l + 229. What is v(-2)?\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (b**0/b)**8/((b**7*b)/(b/(b*b**(2/9)*b*b*b))) assuming b is positive.\n' | b'b**(-173/9)\n' | b'Simplify (b**0/b)**8/((b**7*b)/(b/(b*b**(2/9)*b*b*b))) assuming b is positive.\n' | b'b**(-173/9)\n' | deepmind/math_dataset |
b'Simplify (k**(-5/4)/k**(1/5))/(k**0*k)**(-30) assuming k is positive.\n' | b'k**(571/20)\n' | b'Simplify (k**(-5/4)/k**(1/5))/(k**0*k)**(-30) assuming k is positive.\n' | b'k**(571/20)\n' | deepmind/math_dataset |
b'Find the third derivative of -16*l + 17*l + 0*l**4 - 40*l**3 - l**4 + 3*l**4 - 207*l**2 wrt l.\n' | b'48*l - 240\n' | b'Find the third derivative of -16*l + 17*l + 0*l**4 - 40*l**3 - l**4 + 3*l**4 - 207*l**2 wrt l.\n' | b'48*l - 240\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwtsgbz. Give prob of sequence wtwg.\n' | b'1/420\n' | b'Four letters picked without replacement from wwtsgbz. Give prob of sequence wtwg.\n' | b'1/420\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rwxxxxioi. What is prob of picking 1 o, 1 x, and 1 w?\n' | b'1/21\n' | b'Three letters picked without replacement from rwxxxxioi. What is prob of picking 1 o, 1 x, and 1 w?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let u(z) = -3*z - 29. Let m be u(-11). Solve 35 = 5*j + 10, 0 = -x + m*j - 20 for x.\n' | b'0\n' | b'Let u(z) = -3*z - 29. Let m be u(-11). Solve 35 = 5*j + 10, 0 = -x + m*j - 20 for x.\n' | b'0\n' | deepmind/math_dataset |
b'Let m be 30/70 + -11*1/(-7). Suppose 0*s - m = -2*s. Solve 2*n - s = -g, 23 = 4*g - g - 4*n for g.\n' | b'5\n' | b'Let m be 30/70 + -11*1/(-7). Suppose 0*s - m = -2*s. Solve 2*n - s = -g, 23 = 4*g - g - 4*n for g.\n' | b'5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 2, g: 9, w: 6}. What is prob of picking 4 w?\n' | b'3/476\n' | b'Four letters picked without replacement from {l: 2, g: 9, w: 6}. What is prob of picking 4 w?\n' | b'3/476\n' | deepmind/math_dataset |
b'Simplify (b**1)**(-16) assuming b is positive.\n' | b'b**(-16)\n' | b'Simplify (b**1)**(-16) assuming b is positive.\n' | b'b**(-16)\n' | deepmind/math_dataset |
b'Let l(o) = -o**2 + 7. Let m = -5 + 9. Suppose f = -3*d + d + m, 4*d - 8 = 3*f. Suppose 3*j - 12 = d*q + 7*j, -3 = 4*q + j. What is l(q)?\n' | b'7\n' | b'Let l(o) = -o**2 + 7. Let m = -5 + 9. Suppose f = -3*d + d + m, 4*d - 8 = 3*f. Suppose 3*j - 12 = d*q + 7*j, -3 = 4*q + j. What is l(q)?\n' | b'7\n' | deepmind/math_dataset |
b'Find the second derivative of 1583*k**2 - 645*k**2 - 1110*k - 2037*k - 372*k wrt k.\n' | b'1876\n' | b'Find the second derivative of 1583*k**2 - 645*k**2 - 1110*k - 2037*k - 372*k wrt k.\n' | b'1876\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qxquqzzuzquqvu. What is prob of sequence uqx?\n' | b'5/546\n' | b'Three letters picked without replacement from qxquqzzuzquqvu. What is prob of sequence uqx?\n' | b'5/546\n' | deepmind/math_dataset |
b'Suppose -4*a = 2*z, 3*a - 2*a - 3 = 0. Let k be ((-39)/z)/((-1)/(-2)). Solve 3*b + 12 = -3*w, 2*w - k = -w + 2*b for w.\n' | b'1\n' | b'Suppose -4*a = 2*z, 3*a - 2*a - 3 = 0. Let k be ((-39)/z)/((-1)/(-2)). Solve 3*b + 12 = -3*w, 2*w - k = -w + 2*b for w.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 2*w = 4*z - 8*z + 20, 2*z - 18 = -5*w. Solve n = -5*a + 30, 5*n + 146 = -z*a + 191 for a.\n' | b'5\n' | b'Suppose 2*w = 4*z - 8*z + 20, 2*z - 18 = -5*w. Solve n = -5*a + 30, 5*n + 146 = -z*a + 191 for a.\n' | b'5\n' | deepmind/math_dataset |
b'Let m(w) = w**3 - w**2. Let i(d) = -3*d**3 - 16*d**2. Let l(c) = -i(c) + 4*m(c). Find the third derivative of l(a) wrt a.\n' | b'42\n' | b'Let m(w) = w**3 - w**2. Let i(d) = -3*d**3 - 16*d**2. Let l(c) = -i(c) + 4*m(c). Find the third derivative of l(a) wrt a.\n' | b'42\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {o: 2, u: 1, p: 10, m: 1, z: 4}. Give prob of picking 1 m and 1 p.\n' | b'10/153\n' | b'Two letters picked without replacement from {o: 2, u: 1, p: 10, m: 1, z: 4}. Give prob of picking 1 m and 1 p.\n' | b'10/153\n' | deepmind/math_dataset |
b'Let i = 5 - 3. Suppose -2*h + 5*w + 24 = 0, -4*h - h - i*w + 2 = 0. Solve -2*j + 30 = 3*j + 5*c, -10 = -j - h*c for j.\n' | b'2\n' | b'Let i = 5 - 3. Suppose -2*h + 5*w + 24 = 0, -4*h - h - i*w + 2 = 0. Solve -2*j + 30 = 3*j + 5*c, -10 = -j - h*c for j.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((t**10/t*(t**13/t)/t)/((t**(2/9)*t*t)/t)**(-13/4))**(-3/4) assuming t is positive.\n' | b't**(-863/48)\n' | b'Simplify ((t**10/t*(t**13/t)/t)/((t**(2/9)*t*t)/t)**(-13/4))**(-3/4) assuming t is positive.\n' | b't**(-863/48)\n' | deepmind/math_dataset |
b'What is prob of sequence orr when three letters picked without replacement from {x: 9, y: 3, r: 2, o: 5}?\n' | b'5/2907\n' | b'What is prob of sequence orr when three letters picked without replacement from {x: 9, y: 3, r: 2, o: 5}?\n' | b'5/2907\n' | deepmind/math_dataset |
b'Simplify ((z**6/z*z)/z*z**3/z*z**(1/11)/(z/z**(-1/13)))/((z**(1/6)/(z/(z/(z*z**5*z))))/((z*z**(-1/4))/(z/z**6))) assuming z is positive.\n' | b'z**(31913/1716)\n' | b'Simplify ((z**6/z*z)/z*z**3/z*z**(1/11)/(z/z**(-1/13)))/((z**(1/6)/(z/(z/(z*z**5*z))))/((z*z**(-1/4))/(z/z**6))) assuming z is positive.\n' | b'z**(31913/1716)\n' | deepmind/math_dataset |
b'Suppose -28 + 22 = -3*u. Solve -h = -c - 0*c - 5, -u*c = -4*h + 18 for c.\n' | b'-1\n' | b'Suppose -28 + 22 = -3*u. Solve -h = -c - 0*c - 5, -u*c = -4*h + 18 for c.\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 m and 3 k when four letters picked without replacement from mkmkmkmkmm.\n' | b'4/35\n' | b'Calculate prob of picking 1 m and 3 k when four letters picked without replacement from mkmkmkmkmm.\n' | b'4/35\n' | deepmind/math_dataset |
b'Simplify l*l/(l*l**(-4/3))*l**(-22) assuming l is positive.\n' | b'l**(-59/3)\n' | b'Simplify l*l/(l*l**(-4/3))*l**(-22) assuming l is positive.\n' | b'l**(-59/3)\n' | deepmind/math_dataset |
b'Let p be (-3 - (-198)/63) + ((-4)/(-7))/(-4). Solve 4*x + 4*m - 12 = p, 29*x - 9 = 34*x - m for x.\n' | b'-1\n' | b'Let p be (-3 - (-198)/63) + ((-4)/(-7))/(-4). Solve 4*x + 4*m - 12 = p, 29*x - 9 = 34*x - m for x.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 1, i: 1, h: 1, g: 2, c: 1, f: 2}. Give prob of picking 2 g, 1 r, and 1 i.\n' | b'1/70\n' | b'Four letters picked without replacement from {r: 1, i: 1, h: 1, g: 2, c: 1, f: 2}. Give prob of picking 2 g, 1 r, and 1 i.\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify m/(m*m/(m*(m**(-3/2)*m)/m)*m)*m*(m/m**14)/m assuming m is positive.\n' | b'm**(-31/2)\n' | b'Simplify m/(m*m/(m*(m**(-3/2)*m)/m)*m)*m*(m/m**14)/m assuming m is positive.\n' | b'm**(-31/2)\n' | deepmind/math_dataset |
b'Suppose 31 = 4*t + 3*x, 0 = 2*t - 0*t - 3*x + 7. Let g(k) = k**3 - 4*k**2 + 3*k - 5. Let b be g(t). Let i(o) = o**2 + 0*o - 4*o - b + 3*o. What is i(0)?\n' | b'-7\n' | b'Suppose 31 = 4*t + 3*x, 0 = 2*t - 0*t - 3*x + 7. Let g(k) = k**3 - 4*k**2 + 3*k - 5. Let b be g(t). Let i(o) = o**2 + 0*o - 4*o - b + 3*o. What is i(0)?\n' | b'-7\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {v: 2, e: 2, a: 5, f: 3, b: 8}.\n' | b'8/95\n' | b'Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {v: 2, e: 2, a: 5, f: 3, b: 8}.\n' | b'8/95\n' | deepmind/math_dataset |
b'Simplify ((g**(2/7))**(-18)*g**(2/7)*g**(-5))**(-15/2) assuming g is positive.\n' | b'g**(1035/14)\n' | b'Simplify ((g**(2/7))**(-18)*g**(2/7)*g**(-5))**(-15/2) assuming g is positive.\n' | b'g**(1035/14)\n' | deepmind/math_dataset |
b'What is prob of sequence nffh when four letters picked without replacement from hnnfhflnn?\n' | b'1/189\n' | b'What is prob of sequence nffh when four letters picked without replacement from hnnfhflnn?\n' | b'1/189\n' | deepmind/math_dataset |
b'Let t be (7 + -1 + 99)*1. Suppose -t*x + 140 = -35*x. Solve -2*m - 6 = f + 5, 2*m = x*f - 8 for m.\n' | b'-5\n' | b'Let t be (7 + -1 + 99)*1. Suppose -t*x + 140 = -35*x. Solve -2*m - 6 = f + 5, 2*m = x*f - 8 for m.\n' | b'-5\n' | deepmind/math_dataset |
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