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 36 = 2*d - 0*d. Let b = 19 - d. Let n(q) = -4*q**2 - q + 1. Calculate n(b).\n' | b'-4\n' | b'Suppose 36 = 2*d - 0*d. Let b = 19 - d. Let n(q) = -4*q**2 - q + 1. Calculate n(b).\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from kekmkkkekmkkk. Give prob of sequence ek.\n' | b'3/26\n' | b'Two letters picked without replacement from kekmkkkekmkkk. Give prob of sequence ek.\n' | b'3/26\n' | deepmind/math_dataset |
b'Let s(h) = -82*h**3 + 6*h**2 - 84*h + 3. Let u(g) = 82*g**3 - 4*g**2 + 83*g - 2. Let f(x) = -4*s(x) - 6*u(x). What is the second derivative of f(r) wrt r?\n' | b'-984*r\n' | b'Let s(h) = -82*h**3 + 6*h**2 - 84*h + 3. Let u(g) = 82*g**3 - 4*g**2 + 83*g - 2. Let f(x) = -4*s(x) - 6*u(x). What is the second derivative of f(r) wrt r?\n' | b'-984*r\n' | deepmind/math_dataset |
b'Let s be 6/(-4) + 1 - (-899)/58. Suppose a - 2*u + s = 4*a, 3*a - 24 = u. What is the third derivative of 6*l**2 - 4*l**2 - 5*l**6 + l**2 - a*l**6 wrt l?\n' | b'-1440*l**3\n' | b'Let s be 6/(-4) + 1 - (-899)/58. Suppose a - 2*u + s = 4*a, 3*a - 24 = u. What is the third derivative of 6*l**2 - 4*l**2 - 5*l**6 + l**2 - a*l**6 wrt l?\n' | b'-1440*l**3\n' | deepmind/math_dataset |
b'Simplify (q/q**32*q)/(((q*((q/(((q*q**(-20))/q)/q))/q)/q*q)/q*q*q)/q)*(q**(-2/7)/q)/q*q**(2/29) assuming q is positive.\n' | b'q**(-11006/203)\n' | b'Simplify (q/q**32*q)/(((q*((q/(((q*q**(-20))/q)/q))/q)/q*q)/q*q*q)/q)*(q**(-2/7)/q)/q*q**(2/29) assuming q is positive.\n' | b'q**(-11006/203)\n' | deepmind/math_dataset |
b'Suppose -n - v = 0, -5*v + 10*v + 20 = -n. Solve -n*i + 14 = 2*f, 3*f = f - i + 6 for f.\n' | b'2\n' | b'Suppose -n - v = 0, -5*v + 10*v + 20 = -n. Solve -n*i + 14 = 2*f, 3*f = f - i + 6 for f.\n' | b'2\n' | deepmind/math_dataset |
b'Let w = 18 + -13. Suppose 4*y = 3*r - 18, 2*r + 5*y = -3*r - w. Let k(j) = j - 1. Let x be k(6). Solve -r*f - f = -5*n + x, -4 = -4*n + f for n.\n' | b'1\n' | b'Let w = 18 + -13. Suppose 4*y = 3*r - 18, 2*r + 5*y = -3*r - w. Let k(j) = j - 1. Let x be k(6). Solve -r*f - f = -5*n + x, -4 = -4*n + f for n.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, b: 1, i: 2, j: 1, l: 2}. Give prob of picking 1 j and 1 k.\n' | b'1/21\n' | b'Two letters picked without replacement from {k: 1, b: 1, i: 2, j: 1, l: 2}. Give prob of picking 1 j and 1 k.\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from oxorzhz. Give prob of picking 1 o and 1 r.\n' | b'2/21\n' | b'Two letters picked without replacement from oxorzhz. Give prob of picking 1 o and 1 r.\n' | b'2/21\n' | deepmind/math_dataset |
b'What is the second derivative of -596*v + 20542*v**3 + 3 - 2828*v**4 - 20542*v**3 wrt v?\n' | b'-33936*v**2\n' | b'What is the second derivative of -596*v + 20542*v**3 + 3 - 2828*v**4 - 20542*v**3 wrt v?\n' | b'-33936*v**2\n' | deepmind/math_dataset |
b'Let b(t) be the second derivative of t**8/112 - t**5/15 + 2*t**2 - 7*t. Let c(o) be the first derivative of b(o). What is the third derivative of c(k) wrt k?\n' | b'180*k**2\n' | b'Let b(t) be the second derivative of t**8/112 - t**5/15 + 2*t**2 - 7*t. Let c(o) be the first derivative of b(o). What is the third derivative of c(k) wrt k?\n' | b'180*k**2\n' | deepmind/math_dataset |
b'Simplify n**(1/5)*n*n/n**(2/7)*(n*n**1*n)**15*(n*n*(n*n/(n/(n*n/n**2)*n)*n)/n)/n**3*(n**(-1/13)/n)/(n**(-1)/n) assuming n is positive.\n' | b'n**(21311/455)\n' | b'Simplify n**(1/5)*n*n/n**(2/7)*(n*n**1*n)**15*(n*n*(n*n/(n/(n*n/n**2)*n)*n)/n)/n**3*(n**(-1/13)/n)/(n**(-1)/n) assuming n is positive.\n' | b'n**(21311/455)\n' | deepmind/math_dataset |
b'Simplify ((q**(-1/3))**(-15))**(-50) assuming q is positive.\n' | b'q**(-250)\n' | b'Simplify ((q**(-1/3))**(-15))**(-50) assuming q is positive.\n' | b'q**(-250)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ddxxxxx. Give prob of sequence dxdx.\n' | b'1/21\n' | b'Four letters picked without replacement from ddxxxxx. Give prob of sequence dxdx.\n' | b'1/21\n' | deepmind/math_dataset |
b'Suppose -20 = 6*w - w, -5*k + 5*w = -30. Solve -3*c + k*h - 13 = h, 2*c + 4*h + 4 = 0 for c.\n' | b'-4\n' | b'Suppose -20 = 6*w - w, -5*k + 5*w = -30. Solve -3*c + k*h - 13 = h, 2*c + 4*h + 4 = 0 for c.\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of sequence zxxc when four letters picked without replacement from {z: 1, c: 6, h: 2, o: 1, x: 2}?\n' | b'1/990\n' | b'What is prob of sequence zxxc when four letters picked without replacement from {z: 1, c: 6, h: 2, o: 1, x: 2}?\n' | b'1/990\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ppppppppp. Give prob of picking 3 p.\n' | b'1\n' | b'Three letters picked without replacement from ppppppppp. Give prob of picking 3 p.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 1 j and 1 p when two letters picked without replacement from jpj?\n' | b'2/3\n' | b'What is prob of picking 1 j and 1 p when two letters picked without replacement from jpj?\n' | b'2/3\n' | deepmind/math_dataset |
b'Let o(v) = 9*v + 1. Suppose -97*b - 3 = -94*b. Give o(b).\n' | b'-8\n' | b'Let o(v) = 9*v + 1. Suppose -97*b - 3 = -94*b. Give o(b).\n' | b'-8\n' | deepmind/math_dataset |
b'Let c(p) = -245*p**2 + 3*p + 1857. Let a(g) = 489*g**2 - 4*g - 3713. Let x(s) = 3*a(s) + 5*c(s). Differentiate x(d) wrt d.\n' | b'484*d + 3\n' | b'Let c(p) = -245*p**2 + 3*p + 1857. Let a(g) = 489*g**2 - 4*g - 3713. Let x(s) = 3*a(s) + 5*c(s). Differentiate x(d) wrt d.\n' | b'484*d + 3\n' | deepmind/math_dataset |
b'Let a(m) be the first derivative of m**6/90 - m**5/20 + m**3 + 3. Let b(h) be the third derivative of a(h). What is the second derivative of b(k) wrt k?\n' | b'8\n' | b'Let a(m) be the first derivative of m**6/90 - m**5/20 + m**3 + 3. Let b(h) be the third derivative of a(h). What is the second derivative of b(k) wrt k?\n' | b'8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from zzzppzzz. What is prob of picking 1 z and 1 p?\n' | b'3/7\n' | b'Two letters picked without replacement from zzzppzzz. What is prob of picking 1 z and 1 p?\n' | b'3/7\n' | deepmind/math_dataset |
b'Let j be (-8)/84 - ((-650)/(-105))/(-2). Let g(q) = -2*q**3 + 7*q**2 - 5*q + 3. Calculate g(j).\n' | b'-3\n' | b'Let j be (-8)/84 - ((-650)/(-105))/(-2). Let g(q) = -2*q**3 + 7*q**2 - 5*q + 3. Calculate g(j).\n' | b'-3\n' | deepmind/math_dataset |
b'Let k(j) = 72*j - 699. Let p be k(10). Solve -p = 2*w - 4*b + 1, -b - 8 = 4*w for w.\n' | b'-3\n' | b'Let k(j) = 72*j - 699. Let p be k(10). Solve -p = 2*w - 4*b + 1, -b - 8 = 4*w for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d be ((-80)/104)/(-5) - ((-111)/39 - 1). Solve 0 = 2*s - 2*o - 8, 19*s - 20*s - o + d = 0 for s.\n' | b'4\n' | b'Let d be ((-80)/104)/(-5) - ((-111)/39 - 1). Solve 0 = 2*s - 2*o - 8, 19*s - 20*s - o + d = 0 for s.\n' | b'4\n' | deepmind/math_dataset |
b'Let x(i) = -3*i + 58. Let t be x(-18). Let w = t - 77. What is the second derivative of -2*q**2 + 12246 - 10*q**2 + w*q - 12246 wrt q?\n' | b'-24\n' | b'Let x(i) = -3*i + 58. Let t be x(-18). Let w = t - 77. What is the second derivative of -2*q**2 + 12246 - 10*q**2 + w*q - 12246 wrt q?\n' | b'-24\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c when two letters picked without replacement from mzzdcmmznczcdczmcm.\n' | b'10/153\n' | b'Calculate prob of picking 2 c when two letters picked without replacement from mzzdcmmznczcdczmcm.\n' | b'10/153\n' | deepmind/math_dataset |
b'Suppose -2*w = -3*w + 5*p - 15, 0 = 5*w - 4*p - 9. Solve w*g - 34 = -3*z, z - 31 = -z - 5*g for z.\n' | b'3\n' | b'Suppose -2*w = -3*w + 5*p - 15, 0 = 5*w - 4*p - 9. Solve w*g - 34 = -3*z, z - 31 = -z - 5*g for z.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -67 = -4*p + 25. Let r be (p - -6) + -4 + -3. Solve -18 = -2*u + 4*n, 4*u - 2*u - r = 5*n for u.\n' | b'1\n' | b'Suppose -67 = -4*p + 25. Let r be (p - -6) + -4 + -3. Solve -18 = -2*u + 4*n, 4*u - 2*u - r = 5*n for u.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 5}. Give prob of picking 4 n.\n' | b'1\n' | b'Four letters picked without replacement from {n: 5}. Give prob of picking 4 n.\n' | b'1\n' | deepmind/math_dataset |
b'Differentiate 2570*n**2 - 2710*n**2 + 39578 - 48649 with respect to n.\n' | b'-280*n\n' | b'Differentiate 2570*n**2 - 2710*n**2 + 39578 - 48649 with respect to n.\n' | b'-280*n\n' | deepmind/math_dataset |
b'Four letters picked without replacement from nbnoxzobzxzxoonooboz. What is prob of picking 1 o, 1 x, and 2 b?\n' | b'21/1615\n' | b'Four letters picked without replacement from nbnoxzobzxzxoonooboz. What is prob of picking 1 o, 1 x, and 2 b?\n' | b'21/1615\n' | deepmind/math_dataset |
b'Simplify s**(-1/11)/s*(s/s**(-13))/s*s**15/s**(-1/13) assuming s is positive.\n' | b's**(3859/143)\n' | b'Simplify s**(-1/11)/s*(s/s**(-13))/s*s**15/s**(-1/13) assuming s is positive.\n' | b's**(3859/143)\n' | deepmind/math_dataset |
b'Let k(r) = -r**2 + r. Let b(f) be the first derivative of f**4/4 + 2*f**3/3 + 4*f**2 + 4*f + 8. Let m(l) = -b(l) + 3*k(l). Give m(-4).\n' | b'0\n' | b'Let k(r) = -r**2 + r. Let b(f) be the first derivative of f**4/4 + 2*f**3/3 + 4*f**2 + 4*f + 8. Let m(l) = -b(l) + 3*k(l). Give m(-4).\n' | b'0\n' | deepmind/math_dataset |
b'Let x(s) = -s**3 + 5*s**2 - 5*s + 3. Suppose 9 = 5*w + o - 8, 0 = 5*w + 3*o - 21. Give x(w).\n' | b'6\n' | b'Let x(s) = -s**3 + 5*s**2 - 5*s + 3. Suppose 9 = 5*w + o - 8, 0 = 5*w + 3*o - 21. Give x(w).\n' | b'6\n' | deepmind/math_dataset |
b'Let l be (-35)/(-5) + (-4)/(-2). Suppose 4*d = -1 + l. Find the third derivative of -d*i**2 - 3*i**2 + 2*i**2 + 4*i**4 - 5*i**4 wrt i.\n' | b'-24*i\n' | b'Let l be (-35)/(-5) + (-4)/(-2). Suppose 4*d = -1 + l. Find the third derivative of -d*i**2 - 3*i**2 + 2*i**2 + 4*i**4 - 5*i**4 wrt i.\n' | b'-24*i\n' | deepmind/math_dataset |
b'Suppose 2*t = t - 4, s - 12 = 3*t. Let n(i) = i + 17. Give n(s).\n' | b'17\n' | b'Suppose 2*t = t - 4, s - 12 = 3*t. Let n(i) = i + 17. Give n(s).\n' | b'17\n' | deepmind/math_dataset |
b'Four letters picked without replacement from bbsbbssbbnbbs. What is prob of picking 4 s?\n' | b'1/715\n' | b'Four letters picked without replacement from bbsbbssbbnbbs. What is prob of picking 4 s?\n' | b'1/715\n' | deepmind/math_dataset |
b'Let r be -1 + 1*(-16)/(-4). Find the second derivative of 10*v + 6*v**3 - 6*v + r*v**3 - 3*v wrt v.\n' | b'54*v\n' | b'Let r be -1 + 1*(-16)/(-4). Find the second derivative of 10*v + 6*v**3 - 6*v + r*v**3 - 3*v wrt v.\n' | b'54*v\n' | deepmind/math_dataset |
b'What is the third derivative of -17*p**3 - 12*p**3 + 24*p**4 - 755*p**2 - 13*p**3 + 36*p**3 - 20*p**4 wrt p?\n' | b'96*p - 36\n' | b'What is the third derivative of -17*p**3 - 12*p**3 + 24*p**4 - 755*p**2 - 13*p**3 + 36*p**3 - 20*p**4 wrt p?\n' | b'96*p - 36\n' | deepmind/math_dataset |
b'Simplify (((c**3/c*c)/c)/(c*c/((c/c**(-2/23))/c)))/(c**(-1)/c**(3/7)) assuming c is positive.\n' | b'c**(244/161)\n' | b'Simplify (((c**3/c*c)/c)/(c*c/((c/c**(-2/23))/c)))/(c**(-1)/c**(3/7)) assuming c is positive.\n' | b'c**(244/161)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rrrrrrrrfrfrrrrfrr. Give prob of sequence ffr.\n' | b'5/272\n' | b'Three letters picked without replacement from rrrrrrrrfrfrrrrfrr. Give prob of sequence ffr.\n' | b'5/272\n' | deepmind/math_dataset |
b'Let a(r) = -6*r**3 + r**2 + r + 8. Let q(y) = y**3 - y**2 + y - 1. Let w(i) = -a(i) - 5*q(i). Let v be w(-5). Differentiate 4 - 6 + 3 - u**v wrt u.\n' | b'-2*u\n' | b'Let a(r) = -6*r**3 + r**2 + r + 8. Let q(y) = y**3 - y**2 + y - 1. Let w(i) = -a(i) - 5*q(i). Let v be w(-5). Differentiate 4 - 6 + 3 - u**v wrt u.\n' | b'-2*u\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 4, a: 2}. Give prob of sequence aam.\n' | b'1/15\n' | b'Three letters picked without replacement from {m: 4, a: 2}. Give prob of sequence aam.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify ((q**6/q*q*q**9)**(2/3))**(-2/123) assuming q is positive.\n' | b'q**(-20/123)\n' | b'Simplify ((q**6/q*q*q**9)**(2/3))**(-2/123) assuming q is positive.\n' | b'q**(-20/123)\n' | deepmind/math_dataset |
b'Let b(i) = 4 - 69*i + 22*i - 35*i. Let u(q) = 9 + 55*q - 5 - 7 + 0. Let f(y) = 5*b(y) + 8*u(y). What is the derivative of f(w) wrt w?\n' | b'30\n' | b'Let b(i) = 4 - 69*i + 22*i - 35*i. Let u(q) = 9 + 55*q - 5 - 7 + 0. Let f(y) = 5*b(y) + 8*u(y). What is the derivative of f(w) wrt w?\n' | b'30\n' | deepmind/math_dataset |
b'Let j(o) = -57*o + 167. Suppose 6*h + 399 = -63. Let w(r) = 742*r - 2170. Let z(u) = h*j(u) - 6*w(u). What is the derivative of z(v) wrt v?\n' | b'-63\n' | b'Let j(o) = -57*o + 167. Suppose 6*h + 399 = -63. Let w(r) = 742*r - 2170. Let z(u) = h*j(u) - 6*w(u). What is the derivative of z(v) wrt v?\n' | b'-63\n' | deepmind/math_dataset |
b'Let o(v) be the third derivative of 0*v**7 + 1/112*v**8 + 0*v**5 + 1/12*v**4 - 2*v**2 + 0*v**3 + 0*v**6 + 0 + 0*v. Find the second derivative of o(k) wrt k.\n' | b'60*k**3\n' | b'Let o(v) be the third derivative of 0*v**7 + 1/112*v**8 + 0*v**5 + 1/12*v**4 - 2*v**2 + 0*v**3 + 0*v**6 + 0 + 0*v. Find the second derivative of o(k) wrt k.\n' | b'60*k**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence eo when two letters picked without replacement from oiwrkriwrei.\n' | b'1/110\n' | b'Calculate prob of sequence eo when two letters picked without replacement from oiwrkriwrei.\n' | b'1/110\n' | deepmind/math_dataset |
b'Let c(u) be the first derivative of u**3/3 - 6*u**2 + 25*u + 1079. What is c(9)?\n' | b'-2\n' | b'Let c(u) be the first derivative of u**3/3 - 6*u**2 + 25*u + 1079. What is c(9)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let j = 9 - 4. Suppose 4*w - 20 = 0, 33 = z - j*z + 5*w. Let d(y) = -y**2 - 3*y - 2. Let k be d(z). Solve -4*a + k*a - 5*q = 20, -4*a + 2*q = 20 for a.\n' | b'-5\n' | b'Let j = 9 - 4. Suppose 4*w - 20 = 0, 33 = z - j*z + 5*w. Let d(y) = -y**2 - 3*y - 2. Let k be d(z). Solve -4*a + k*a - 5*q = 20, -4*a + 2*q = 20 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -j - 3*j - 60. Let f(w) = 16 - w**3 - w**2 - 15*w**2 + 13419859*w - 13419873*w. What is f(j)?\n' | b'1\n' | b'Suppose 0 = -j - 3*j - 60. Let f(w) = 16 - w**3 - w**2 - 15*w**2 + 13419859*w - 13419873*w. What is f(j)?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = -z - 5*w + 26, 2*w - 3*w + 50 = 3*z. What is the second derivative of z*t + 2*t + 18*t**5 + t wrt t?\n' | b'360*t**3\n' | b'Suppose 0 = -z - 5*w + 26, 2*w - 3*w + 50 = 3*z. What is the second derivative of z*t + 2*t + 18*t**5 + t wrt t?\n' | b'360*t**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from oomxmmm. Give prob of sequence ooo.\n' | b'0\n' | b'Three letters picked without replacement from oomxmmm. Give prob of sequence ooo.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nonnotntnnn. What is prob of picking 1 t and 1 o?\n' | b'4/55\n' | b'Two letters picked without replacement from nonnotntnnn. What is prob of picking 1 t and 1 o?\n' | b'4/55\n' | deepmind/math_dataset |
b'Calculate prob of sequence qqaz when four letters picked without replacement from {q: 2, a: 1, z: 2, j: 1}.\n' | b'1/90\n' | b'Calculate prob of sequence qqaz when four letters picked without replacement from {q: 2, a: 1, z: 2, j: 1}.\n' | b'1/90\n' | deepmind/math_dataset |
b'Simplify (q*q**(1/15)/q*q*q)**(9/13)*(q**(-14))**17 assuming q is positive.\n' | b'q**(-15377/65)\n' | b'Simplify (q*q**(1/15)/q*q*q)**(9/13)*(q**(-14))**17 assuming q is positive.\n' | b'q**(-15377/65)\n' | deepmind/math_dataset |
b'Let v be 110/935 - (-87)/(-17). Let t(f) = -f**2 - 2*f + 2. Calculate t(v).\n' | b'-13\n' | b'Let v be 110/935 - (-87)/(-17). Let t(f) = -f**2 - 2*f + 2. Calculate t(v).\n' | b'-13\n' | deepmind/math_dataset |
b'Suppose 2*o + 12 = -2*o. Let d be o/2*4/(-3). Suppose 16 = -d*f + 6*f. Let z(l) = -l**3 + 3*l**2 + 4*l - 3. Calculate z(f).\n' | b'-3\n' | b'Suppose 2*o + 12 = -2*o. Let d be o/2*4/(-3). Suppose 16 = -d*f + 6*f. Let z(l) = -l**3 + 3*l**2 + 4*l - 3. Calculate z(f).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of sequence yr when two letters picked without replacement from {b: 1, a: 3, r: 3, y: 2, l: 9}?\n' | b'1/51\n' | b'What is prob of sequence yr when two letters picked without replacement from {b: 1, a: 3, r: 3, y: 2, l: 9}?\n' | b'1/51\n' | deepmind/math_dataset |
b'What is prob of picking 2 t when two letters picked without replacement from tgdggdrtrggrd?\n' | b'1/78\n' | b'What is prob of picking 2 t when two letters picked without replacement from tgdggdrtrggrd?\n' | b'1/78\n' | deepmind/math_dataset |
b'Suppose -3*h = -0*n + n - 153, -h = -n - 51. Suppose -5*m - 3*x + 81 = -0*x, -3*x = 3*m - h. Solve 3*a = k + m, 5*k - a + 4 = -1 for k.\n' | b'0\n' | b'Suppose -3*h = -0*n + n - 153, -h = -n - 51. Suppose -5*m - 3*x + 81 = -0*x, -3*x = 3*m - h. Solve 3*a = k + m, 5*k - a + 4 = -1 for k.\n' | b'0\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {e: 5, m: 2}. What is prob of sequence meme?\n' | b'1/21\n' | b'Four letters picked without replacement from {e: 5, m: 2}. What is prob of sequence meme?\n' | b'1/21\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwwwiwwwwwwwwwiwwww. Give prob of picking 4 w.\n' | b'35/57\n' | b'Four letters picked without replacement from wwwwiwwwwwwwwwiwwww. Give prob of picking 4 w.\n' | b'35/57\n' | deepmind/math_dataset |
b'Let w(u) be the second derivative of 10*u - 1/3*u**4 + 0*u**2 + 5/6*u**3 + 0. Find the second derivative of w(i) wrt i.\n' | b'-8\n' | b'Let w(u) be the second derivative of 10*u - 1/3*u**4 + 0*u**2 + 5/6*u**3 + 0. Find the second derivative of w(i) wrt i.\n' | b'-8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 3, w: 4}. What is prob of picking 4 w?\n' | b'1/35\n' | b'Four letters picked without replacement from {d: 3, w: 4}. What is prob of picking 4 w?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let p be (-4)/(-2)*1*10/4. Solve -p = 4*c + t - 6*t, 1 = t for c.\n' | b'0\n' | b'Let p be (-4)/(-2)*1*10/4. Solve -p = 4*c + t - 6*t, 1 = t for c.\n' | b'0\n' | deepmind/math_dataset |
b'Let y(h) = h**2 + 7*h + 2. Let k be (-74)/(-14) - 140/490. Determine y(k).\n' | b'62\n' | b'Let y(h) = h**2 + 7*h + 2. Let k be (-74)/(-14) - 140/490. Determine y(k).\n' | b'62\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gsssggsssss. What is prob of picking 1 g and 2 s?\n' | b'28/55\n' | b'Three letters picked without replacement from gsssggsssss. What is prob of picking 1 g and 2 s?\n' | b'28/55\n' | deepmind/math_dataset |
b'Let f(v) be the third derivative of -v**5/60 + v**4/4 + v**3/6 + 4*v**2. Let j be f(3). Solve 0 = -5*q + j, -3*q + 15 = 2*w + 3 for w.\n' | b'3\n' | b'Let f(v) be the third derivative of -v**5/60 + v**4/4 + v**3/6 + 4*v**2. Let j be f(3). Solve 0 = -5*q + j, -3*q + 15 = 2*w + 3 for w.\n' | b'3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 7, g: 7}. Give prob of sequence gmg.\n' | b'7/52\n' | b'Three letters picked without replacement from {m: 7, g: 7}. Give prob of sequence gmg.\n' | b'7/52\n' | deepmind/math_dataset |
b'What is prob of picking 1 m and 1 b when two letters picked without replacement from gbeegemggegggegeg?\n' | b'1/136\n' | b'What is prob of picking 1 m and 1 b when two letters picked without replacement from gbeegemggegggegeg?\n' | b'1/136\n' | deepmind/math_dataset |
b'Four letters picked without replacement from wwwiwiiwwwiwwiiwww. What is prob of sequence wiii?\n' | b'1/51\n' | b'Four letters picked without replacement from wwwiwiiwwwiwwiiwww. What is prob of sequence wiii?\n' | b'1/51\n' | deepmind/math_dataset |
b'Let i(j) = -2*j. Let r(s) = s. Suppose 2*w + 27 = -7*w. Let y(v) = w*i(v) - 5*r(v). Let n(k) = k + 2. Let z be n(-2). Determine y(z).\n' | b'0\n' | b'Let i(j) = -2*j. Let r(s) = s. Suppose 2*w + 27 = -7*w. Let y(v) = w*i(v) - 5*r(v). Let n(k) = k + 2. Let z be n(-2). Determine y(z).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from fyyyyyfyyyyyyfy. Give prob of sequence fy.\n' | b'6/35\n' | b'Two letters picked without replacement from fyyyyyfyyyyyyfy. Give prob of sequence fy.\n' | b'6/35\n' | deepmind/math_dataset |
b'Let y(z) be the first derivative of 19*z**6/6 - 13*z**3 - 38. Find the third derivative of y(d) wrt d.\n' | b'1140*d**2\n' | b'Let y(z) be the first derivative of 19*z**6/6 - 13*z**3 - 38. Find the third derivative of y(d) wrt d.\n' | b'1140*d**2\n' | deepmind/math_dataset |
b'Let n(d) be the second derivative of d**4/2 - 3*d**2/2 - 189*d. Determine n(2).\n' | b'21\n' | b'Let n(d) be the second derivative of d**4/2 - 3*d**2/2 - 189*d. Determine n(2).\n' | b'21\n' | deepmind/math_dataset |
b'Suppose 5*m - 13 = 2. Let l = 1 + m. Let v(b) = -5*b**3 + b**2 - 1. Let f be v(-1). Solve -3*a - l*c - 17 = 0, -4*a - f = -a - 2*c for a.\n' | b'-3\n' | b'Suppose 5*m - 13 = 2. Let l = 1 + m. Let v(b) = -5*b**3 + b**2 - 1. Let f be v(-1). Solve -3*a - l*c - 17 = 0, -4*a - f = -a - 2*c for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify d**(-3)/d*d**(-1/4)*d*(d/(d*d**1))**19 assuming d is positive.\n' | b'd**(-89/4)\n' | b'Simplify d**(-3)/d*d**(-1/4)*d*(d/(d*d**1))**19 assuming d is positive.\n' | b'd**(-89/4)\n' | deepmind/math_dataset |
b'Suppose 2*c + c - 13 = 2*l, 2*c = l + 9. Let w be 2/2*(l - 0). What is the second derivative of o**2 + w + o - 1 + o**2 wrt o?\n' | b'4\n' | b'Suppose 2*c + c - 13 = 2*l, 2*c = l + 9. Let w be 2/2*(l - 0). What is the second derivative of o**2 + w + o - 1 + o**2 wrt o?\n' | b'4\n' | deepmind/math_dataset |
b'Let q(r) = r**5 - r**4 + r**3. Let l(h) = 4*h**4 - 4*h**3 + 24*h. Let o(c) = -l(c) - 4*q(c). Find the second derivative of o(x) wrt x.\n' | b'-80*x**3\n' | b'Let q(r) = r**5 - r**4 + r**3. Let l(h) = 4*h**4 - 4*h**3 + 24*h. Let o(c) = -l(c) - 4*q(c). Find the second derivative of o(x) wrt x.\n' | b'-80*x**3\n' | deepmind/math_dataset |
b'Suppose 13 + 23 = 12*z. Let h(p) = -2*p + 8. Let g be h(z). Solve 0 = g*t + m - 3, -6*t = -2*t - 5*m + 29 for t.\n' | b'-1\n' | b'Suppose 13 + 23 = 12*z. Let h(p) = -2*p + 8. Let g be h(z). Solve 0 = g*t + m - 3, -6*t = -2*t - 5*m + 29 for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Let i(t) = 2*t**3 + 10*t**2 - 113*t + 293. Let d(c) = -6*c**3 - 35*c**2 + 339*c - 880. Let k(x) = -2*d(x) - 7*i(x). Differentiate k(p) wrt p.\n' | b'-6*p**2 + 113\n' | b'Let i(t) = 2*t**3 + 10*t**2 - 113*t + 293. Let d(c) = -6*c**3 - 35*c**2 + 339*c - 880. Let k(x) = -2*d(x) - 7*i(x). Differentiate k(p) wrt p.\n' | b'-6*p**2 + 113\n' | deepmind/math_dataset |
b'Let c(x) be the third derivative of -x**5/60 + 11*x**4/24 + 13*x**3/6 + 217*x**2. Determine c(13).\n' | b'-13\n' | b'Let c(x) be the third derivative of -x**5/60 + 11*x**4/24 + 13*x**3/6 + 217*x**2. Determine c(13).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify (q*q**(-3/10))/q**(-5)*(q**(1/15))**(22/9) assuming q is positive.\n' | b'q**(1583/270)\n' | b'Simplify (q*q**(-3/10))/q**(-5)*(q**(1/15))**(22/9) assuming q is positive.\n' | b'q**(1583/270)\n' | deepmind/math_dataset |
b'Let c(n) be the third derivative of n**5/60 - 5*n**4/12 + 19*n**3/6 + 11*n**2 - 2*n. What is the first derivative of c(l) wrt l?\n' | b'2*l - 10\n' | b'Let c(n) be the third derivative of n**5/60 - 5*n**4/12 + 19*n**3/6 + 11*n**2 - 2*n. What is the first derivative of c(l) wrt l?\n' | b'2*l - 10\n' | deepmind/math_dataset |
b'Simplify ((b/(b/((b/(b*b/(b**0*b)))/b)))**(2/9))**41/((b*b**(-1)*b*b**4*b)/((b**3*b)/(b**3*b))) assuming b is positive.\n' | b'b**(-136/9)\n' | b'Simplify ((b/(b/((b/(b*b/(b**0*b)))/b)))**(2/9))**41/((b*b**(-1)*b*b**4*b)/((b**3*b)/(b**3*b))) assuming b is positive.\n' | b'b**(-136/9)\n' | deepmind/math_dataset |
b'Simplify (k**(-44))**(4/9) assuming k is positive.\n' | b'k**(-176/9)\n' | b'Simplify (k**(-44))**(4/9) assuming k is positive.\n' | b'k**(-176/9)\n' | deepmind/math_dataset |
b'Let j(h) = h**3 - 2*h**2 - h + 2. Let f be j(2). Solve -4*c - 2*p + 4 = -2*c, f = 5*c - 5*p + 10 for c.\n' | b'0\n' | b'Let j(h) = h**3 - 2*h**2 - h + 2. Let f be j(2). Solve -4*c - 2*p + 4 = -2*c, f = 5*c - 5*p + 10 for c.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 3, v: 1, x: 3, q: 2, g: 1}. What is prob of picking 1 v, 1 q, and 1 g?\n' | b'1/60\n' | b'Three letters picked without replacement from {s: 3, v: 1, x: 3, q: 2, g: 1}. What is prob of picking 1 v, 1 q, and 1 g?\n' | b'1/60\n' | deepmind/math_dataset |
b'Let c(a) be the second derivative of -5/6*a**3 - 26*a + 19/2*a**2 + 0. What is the derivative of c(t) wrt t?\n' | b'-5\n' | b'Let c(a) be the second derivative of -5/6*a**3 - 26*a + 19/2*a**2 + 0. What is the derivative of c(t) wrt t?\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from gugbu. What is prob of sequence bg?\n' | b'1/10\n' | b'Two letters picked without replacement from gugbu. What is prob of sequence bg?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rrbtrxxxrttrrbbxxbt. Give prob of sequence bx.\n' | b'10/171\n' | b'Two letters picked without replacement from rrbtrxxxrttrrbbxxbt. Give prob of sequence bx.\n' | b'10/171\n' | deepmind/math_dataset |
b'Let l(g) = 3*g - 4. Let k be l(2). Solve -2*b = 5*r - 12 - k, -b + 2*r = 2 for b.\n' | b'2\n' | b'Let l(g) = 3*g - 4. Let k be l(2). Solve -2*b = 5*r - 12 - k, -b + 2*r = 2 for b.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -10 = -2*f - 2*s, 4*f - 28 = -2*s - 0*s. Solve -1 - f = 2*w - 4*n, 3*n = 0 for w.\n' | b'-5\n' | b'Suppose -10 = -2*f - 2*s, 4*f - 28 = -2*s - 0*s. Solve -1 - f = 2*w - 4*n, 3*n = 0 for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose b + w = 3, -3 - 6 = -2*b - 3*w. Let v be (-90)/5*(b/3 - -3). Let u = 60 + v. Solve -s - 2*r - 10 = 0, 0*s + s - 2*r = u for s.\n' | b'-2\n' | b'Suppose b + w = 3, -3 - 6 = -2*b - 3*w. Let v be (-90)/5*(b/3 - -3). Let u = 60 + v. Solve -s - 2*r - 10 = 0, 0*s + s - 2*r = u for s.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 1, g: 6, a: 3, n: 5, v: 3}. What is prob of sequence dgav?\n' | b'1/1360\n' | b'Four letters picked without replacement from {d: 1, g: 6, a: 3, n: 5, v: 3}. What is prob of sequence dgav?\n' | b'1/1360\n' | deepmind/math_dataset |
b'Simplify (w**19*w/w**(-20))/((w/w**(-2/59))/(w/(w*w**23))) assuming w is positive.\n' | b'w**(942/59)\n' | b'Simplify (w**19*w/w**(-20))/((w/w**(-2/59))/(w/(w*w**23))) assuming w is positive.\n' | b'w**(942/59)\n' | deepmind/math_dataset |
b'Let q be (-41)/(-8) + -1 - (-262)/(-2096). Solve -g + 6 = -2*w, 2*w + 3*w + 18 = q*g for w.\n' | b'-2\n' | b'Let q be (-41)/(-8) + -1 - (-262)/(-2096). Solve -g + 6 = -2*w, 2*w + 3*w + 18 = q*g for w.\n' | b'-2\n' | deepmind/math_dataset |
b'Let c be (-54)/(-12)*(-2)/(-3). Let s(d) = d + 3. Let x be s(c). Solve 4*j - 4*y + x*y = 0, -5*y + 20 = 0 for j.\n' | b'-2\n' | b'Let c be (-54)/(-12)*(-2)/(-3). Let s(d) = d + 3. Let x be s(c). Solve 4*j - 4*y + x*y = 0, -5*y + 20 = 0 for j.\n' | b'-2\n' | deepmind/math_dataset |
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