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= -90. What is the tens digit of q?
9
Let z(o) = -o**3 + o**2 + 1. Let b be z(2). Let m(w) = -2*w + 4. What is the tens digit of m(b)?
1
What is the units digit of (-1 - (-15)/9)*3?
2
Let d be 1/2 + (-39)/6. Let t = -20 + 31. Let z = t + d. What is the units digit of z?
5
Suppose 93 = -z + 349. What is the tens digit of z?
5
Let i be (-27)/(-5) - 4/10. Suppose 0 = -3*d - d - 5*y + 15, 15 = -2*d + i*y. What is the units digit of -1 + 2 + (d - -1)?
2
Suppose 2*v = 3*m + 11, 10 = v - 4*m - 3. What is the units digit of -4 + v + 43 + 2?
2
Let v = 5 + -2. Suppose -v - 1 = l. Let g(r) = -r. What is the units digit of g(l)?
4
Let k = 20 - -2. Let a = 11 - k. Let n = -5 - a. What is the units digit of n?
6
Let l(z) = 42*z. What is the units digit of l(1)?
2
Let f(x) = -x**2 + 8*x + 10. Let m = 9 + -1. What is the tens digit of f(m)?
1
Let l(c) = 18*c - 9. Let p be l(7). Let i = -76 + p. What is the units digit of i?
1
Let h be (-4)/10 + 32/5. Suppose -4*i + h = -i. Suppose -24 = -3*c - i*w, -c + 7 = -2*w - 1. What is the units digit of c?
8
Let i be 76/(-4 + 2) + 2. What is the units digit of (-382)/(-8) - 9/i?
8
Let m = -8 - 0. Let x = m + 13. What is the units digit of x?
5
Let d(k) = -k**3 + k**2 + 2*k - 3. What is the tens digit of d(-5)?
3
Let i = 78 - 207. What is the units digit of i/(-12) - 3/(-12)?
1
Let g(u) be the first derivative of -u**5/60 - u**4/4 - 2*u**3/3 + u**2/2 - 1. Let r(p) be the second derivative of g(p). What is the units digit of r(-5)?
1
Let c be (-2)/(-5) + (-169)/(-65). Suppose -c*w + 174 = 3*w. What is the units digit of w?
9
What is the tens digit of 9 - (-1 + -5) - (2 - 1)?
1
Suppose -g + 0*g + 3*d + 4 = 0, 2*g + 3*d + 10 = 0. What is the tens digit of (4/5)/(g/(-35))?
1
What is the units digit of (6/9)/(2/207)?
9
Let h = -4 + -6. Let c = -7 - h. Suppose -2*g = -c*g + 22. What is the tens digit of g?
2
Suppose -2*i - 20 = -7*i. Suppose 0 = i*j - 2*j - 8. Let g(p) = p**3 - 5*p**2 + 7*p - 5. What is the units digit of g(j)?
7
Let m be ((-1)/1)/(1/12). Let c = 1 - m. What is the units digit of c?
3
Let j = -18 - -11. Let k = j + 18. What is the units digit of k?
1
Suppose -2*l + 4*l = 0. What is the units digit of (1 - l)/((-4)/(-32))?
8
Suppose 2*l - 4 = 3*k - 10, -2*k = -4. Suppose l = -3*b + 33 - 9. What is the units digit of b?
8
Let t(w) = 4*w**2 - 3*w - 1. What is the tens digit of t(-3)?
4
Suppose -p + 5*p + 2*l = 110, -l + 5 = 0. What is the units digit of p?
5
Let l = -18 - -39. Let h = l + -10. What is the tens digit of h?
1
Let a(z) = z**2 + z - 1. Suppose 2*j + 3*k = 18, 0 = -4*j - 3*k + k + 20. What is the tens digit of a(j)?
1
Let v(b) = 2*b**2 - 1. What is the tens digit of v(-4)?
3
Let i = -213 + 416. What is the units digit of i?
3
Suppose 10*z - 36 = 7*z. What is the units digit of z?
2
Suppose -3*p - 5*f = -47, -3*p + 0*p = f - 67. Suppose 0 = -0*u - 4*u + p. Let n = u - 1. What is the units digit of n?
5
Let z(s) = 3*s**2 + 3*s - 5. What is the tens digit of z(-4)?
3
Suppose 109 = -5*x + 414. What is the tens digit of x?
6
Suppose k = 3*r - 575, r + 5*k - k = 170. What is the tens digit of r?
9
Suppose 2*t = -3*y + 5*t - 3, -3*t = -15. What is the units digit of y?
4
Suppose -3*a + 5*x = 175, -6*a - 120 = -4*a - 4*x. What is the tens digit of a/(-4) + 6/(-12)?
1
Let f(z) = -z + 2. Let b(r) = r**2 + 3*r - 7. Let a be b(-5). Let t = a + -5. What is the units digit of f(t)?
4
Suppose 0 = 3*j - 11 - 1. Let s = -1 - -1. Suppose s*b + 40 = j*b. What is the tens digit of b?
1
What is the tens digit of (9/(-4))/((-10)/240)?
5
Let y(c) = 16*c**2 + c + 1. What is the tens digit of y(-1)?
1
Let s = 10 - 8. What is the units digit of s?
2
Suppose -q - 20 = -6*q. Suppose -27 + 167 = q*o. What is the units digit of o?
5
Suppose 2*f = 5*b - 0*f - 246, -b = 3*f - 39. What is the units digit of b?
8
Suppose 570 - 228 = 3*i. What is the tens digit of i?
1
Let k(a) = 2 + 2 + 2 + 8*a**2 - a + 3 - a**3. What is the units digit of k(8)?
1
Suppose 5*w - 4*j - 52 = 0, -4*j = -w + 8 + 12. Let v = w - 0. Suppose 20 = -4*t, -2*d + 29 = -3*t + v. What is the units digit of d?
3
Let y be 8/(-12)*(1 + -13). Let s(m) = 2*m - 3. What is the tens digit of s(y)?
1
What is the units digit of 2366/28 + 2/4?
5
Let s(x) = -8*x + 2. What is the tens digit of s(-3)?
2
Let l be (2*11)/(4/8). What is the tens digit of ((-82)/(-8))/(11/l)?
4
Let j = 12 - 6. Suppose -2*p = -j*p + 16. Suppose 0*c - p*c + 44 = 4*o, c - 20 = -2*o. What is the units digit of o?
9
What is the units digit of ((-90)/25 + 4)*50?
0
Let c(k) be the second derivative of 0 - 1/2*k**2 + 4*k + 1/20*k**5 + 3/4*k**4 + k**3. What is the units digit of c(-8)?
5
Suppose 5*j + q - 856 = 0, 2*j + 0*q - 3*q = 356. Suppose j = 4*k - 4*o, -2*k = -3*k + 3*o + 45. What is the units digit of k?
2
Let z(f) = -24*f. Let l be 5/(-3) + (-8)/(-12). What is the tens digit of z(l)?
2
Suppose 2*i - 14 = 88. What is the units digit of i?
1
Let l = 18 - 14. Let v(s) = -s + 5. What is the units digit of v(l)?
1
Let t = 7 + -3. Suppose 25 = 5*x - 5*f, -5*f + 28 = t*x - 1. What is the units digit of x?
6
Let n = 5 - 5. What is the units digit of (2 - n) + 5 + -4?
3
Let m be 38/5 + (-2)/(-5). Let z = m + -5. Suppose z*l = -l + 48. What is the units digit of l?
2
Let r(k) be the second derivative of k**4/6 - k. What is the units digit of r(1)?
2
Suppose -3*x + x + 242 = 0. What is the hundreds digit of x?
1
Suppose 0*y = -4*y + 12. Let i = -3 + y. What is the units digit of (i - 8/6)*-3?
4
Let k = 549 + -213. What is the units digit of k?
6
Suppose 0 = -4*u + 1206 - 254. What is the units digit of u?
8
Suppose 0 = 5*k - 3*p - 317, 0 = -k - 3*p + 2*p + 57. What is the units digit of k?
1
Suppose -43 = 4*o - 11. Let u be 8/o*(1 + 1). What is the units digit of -2*((-15)/6 - u)?
1
Suppose -z = 3*x - 17, 0 = -0*z - 5*z - 4*x + 52. What is the units digit of z?
8
Let n(x) = 1 + 6 + 6 + x. Let f = -22 + 10. What is the units digit of n(f)?
1
Let s(a) be the second derivative of -2*a**5/5 + a**3/6 + a**2/2 + 2*a. Let g be s(-1). Let j(q) = -q**3 + 7*q**2 + 9*q - 4. What is the units digit of j(g)?
4
Let a(j) = -1 + 2 - j + 8. Let y be a(7). Suppose 3*w - 2*p - 18 = -p, -y*w + 19 = -3*p. What is the units digit of w?
5
Suppose -2*x + 5*k + 494 = 94, -5*k - 605 = -3*x. What is the hundreds digit of x?
2
Let x(d) be the first derivative of -d**4/4 - 5*d**3/3 + 9*d**2/2 + 5*d - 2. Let q be x(-6). Let f = q + 21. What is the units digit of f?
8
Suppose -2*h + 5*h = 42. Suppose -h = -2*b - 0. What is the units digit of b?
7
Let o(p) = p**2 + 8*p - 8. Let k(u) = u**3 + u**2 - 4*u. Let w be k(3). Suppose -2*a + 0*t + t - 19 = 0, -3*a = 3*t + w. What is the units digit of o(a)?
1
Suppose 7 = n - 5*d, 0 = -3*n - 0*n + 3*d + 9. Suppose n*r - 16 = -2*r. What is the units digit of r?
4
Let a(r) = 13*r**3 - r**2 + 2*r - 1. Let m be a(1). Let y = 21 - m. What is the units digit of y?
8
Let b be 2/(-9) - (-11)/9. Suppose b + 67 = 4*h. What is the units digit of h?
7
Let r be 2/1 + 1 - -2. Let i = r - -2. What is the units digit of i?
7
Let l(n) = n**2 - 2*n + 1. Let p be l(3). Suppose 9 = -o + p*w, -2*o + w = o + 5. Let y(u) = -u**3 + u**2. What is the units digit of y(o)?
2
Let z = -102 - -359. What is the tens digit of z?
5
Suppose -4*w + 4*h - 380 = -1284, -214 = -w - 3*h. What is the tens digit of w?
2
Suppose 0 = -2*o + 5 - 1. What is the units digit of (-60)/(-14) - o/7?
4
Suppose -5 = -4*r - o - 4, -4 = 4*r - 4*o. Suppose g = -r + 10. What is the units digit of g?
0
Let a(s) = -2*s**3 - 2*s - 1. Let b(v) = -v**3 + v**2 + 1. Let q be b(1). Suppose 2 = -p + q. What is the units digit of a(p)?
3
Let d(m) = -m + 9. Let j be d(5). Suppose u = -j*u + 65. What is the tens digit of u?
1
Let q(t) = 7*t**3 - 16*t**2 - 3*t - 4. Let c(m) = -m**3 + m**2 - m - 1. Let p(u) = 6*c(u) + q(u). What is the tens digit of p(11)?
1
Suppose 2*f + 2*n - 69 - 9 = 0, -2*n - 97 = -3*f. What is the units digit of f?
5
Suppose 0 = -3*n - c + 18, -5*n - 3*c + 14 = -4*n. Let z(s) = 4*s - 3. Let o be z(2). Suppose 0*i = o*i - n. What is the units digit of i?
1
Let u(i) = 11*i**2 - 6*i + 6. What is the tens digit of u(4)?
5
Let x(o) = 15*o - 1. Let v be x(1). Suppose u = 3*u - v. What is the units digit of u?
7
Suppose -4*j = -10 - 2. Suppose -j*k | {
"pile_set_name": "DM Mathematics"
} |
4 + 11*v**3 + 6*v**2 - 6*v - 6. Let l(u) = u**5 - u**4 - u**3 - u**2 + u + 1. Let g(r) = -6*l(r) - z(r). Factor g(k).
5*k**3*(k - 1)*(10*k + 1)
Let d = 25748/15 - 8566/5. Factor -34/3*q**4 - 22/3*q**2 - 14*q**3 + 0 - d*q**5 - 4/3*q.
-2*q*(q + 1)**3*(5*q + 2)/3
Let o(n) be the second derivative of -n**7/1890 + n**6/270 - n**5/135 + 2*n**3/3 - 2*n. Let t(u) be the second derivative of o(u). Let t(a) = 0. What is a?
0, 1, 2
Let z(w) be the first derivative of 8*w**6/3 - 116*w**5/5 - 25*w**4 + 32*w**3/3 + 262. Determine o so that z(o) = 0.
-1, 0, 1/4, 8
Let g(a) be the second derivative of 0 - 1/15*a**6 + 3*a**2 + a**4 - 8/3*a**3 - 15*a + 0*a**5. What is d in g(d) = 0?
-3, 1
Let w(l) be the first derivative of -l**3/6 + 3*l**2/2 - 9*l/2 - 98. Factor w(t).
-(t - 3)**2/2
Suppose 5*q - 30 = -5*c, -4*c - q = 12 - 27. Factor -11*k**c - 9/2*k - 75/4*k**2 - 7/4*k**4 + 0.
-k*(k + 3)**2*(7*k + 2)/4
Let r(x) be the third derivative of -1/120*x**6 + 0 + 0*x**4 + 0*x**3 + 11*x**2 + 0*x + 0*x**5. Factor r(b).
-b**3
Suppose -25*c = -24*c - 3. Let 4*z**3 + z**c + 278*z**2 - 263*z**2 = 0. What is z?
-3, 0
Let x = 9713 + -38851/4. Factor -1/2*r**2 + 1/2 + x*r**3 - 1/4*r.
(r - 2)*(r - 1)*(r + 1)/4
Let a(x) be the first derivative of 2*x**6/3 - 16*x**5/5 + 4*x**4 + 102. Solve a(w) = 0.
0, 2
What is d in 0*d - 15/2*d**3 - 5/6*d**4 - 20/3*d**2 + 0 = 0?
-8, -1, 0
Let u(l) be the second derivative of -l**7/14 - 2*l**6/5 - 9*l**5/20 + 11*l + 20. Factor u(m).
-3*m**3*(m + 1)*(m + 3)
Suppose 446*v - 5*h + 5 = 445*v, 0 = 2*v - 2*h + 2. Factor -4/3 + t**2 - 1/3*t**3 + v*t.
-(t - 2)**2*(t + 1)/3
Let g(t) be the first derivative of 3*t**4/4 + 6*t**3 + 27*t**2/2 - 371. Factor g(f).
3*f*(f + 3)**2
Suppose 0 - 56/13*v - 2/13*v**2 = 0. Calculate v.
-28, 0
Let g(y) = -1. Let z(x) = 0*x**2 + 11 - x - x**2 - 2 + 1. Let o(k) = 24*g(k) + 3*z(k). Factor o(l).
-3*(l - 1)*(l + 2)
Let u(o) be the first derivative of 3/2*o**2 + o**3 - 3/5*o**5 + 0*o + 4 - 3/4*o**4. Suppose u(i) = 0. What is i?
-1, 0, 1
Suppose 2*g = 4 + 2. Let o be 4/g*3/2. Solve -3*a**o + 4*a**3 + a**2 - 5*a**3 - a + 0*a**3 = 0.
-1, 0
Let w be 1*20/8 - 1/2. Find f, given that -413*f**3 + 0*f**2 + 417*f**3 + 12*f**w = 0.
-3, 0
Determine y so that -19 + 9 + 69*y**2 - 40 - 74*y**2 - 12*y + 47*y = 0.
2, 5
Let w(x) be the third derivative of -x**5/150 + x**4/60 + 4*x**3/3 - 27*x**2. Find n such that w(n) = 0.
-4, 5
Let q(v) be the second derivative of -v**6/20 + 3*v**5/20 - v**3/2 + 11*v**2/2 - 10*v. Let x(m) be the first derivative of q(m). Solve x(t) = 0 for t.
-1/2, 1
Let d(i) be the third derivative of -i**9/7560 - i**8/3360 + i**7/630 + 11*i**4/12 + 9*i**2. Let b(m) be the second derivative of d(m). Factor b(f).
-2*f**2*(f - 1)*(f + 2)
Let z = 92683/6 + -264407/18. Let s = z - 757. Factor 20/9*f**2 - 16/9 - s*f**4 - 2/9*f**3 + 8/9*f - 2/9*f**5.
-2*(f - 1)**2*(f + 2)**3/9
Let j(a) be the second derivative of -1/7*a**4 - 3/7*a**2 + 3/140*a**5 + 11*a + 0 + 5/14*a**3. Determine h so that j(h) = 0.
1, 2
Let h(y) be the third derivative of y**7/35 - y**6/30 - 2*y**5/15 + y**4/6 + y**3/3 + 94*y**2. Factor h(t).
2*(t - 1)**2*(t + 1)*(3*t + 1)
Let g(a) be the third derivative of 5*a**8/672 - 5*a**7/84 + 7*a**6/48 - a**5/8 + 3*a**2 - 3. Solve g(o) = 0.
0, 1, 3
Let f(x) be the first derivative of 0*x**4 + 6 - 2/3*x**3 + 2/5*x**5 + 0*x**2 + 0*x. Solve f(h) = 0 for h.
-1, 0, 1
Factor 0 - 3*k - 1/4*k**2.
-k*(k + 12)/4
Let x = 55 + -46. Find h, given that 4*h**3 - x*h**3 - 14*h**2 + 25*h - 6*h**2 + 10*h**3 - 10 = 0.
1, 2
Let i be (-6724)/(-40) - 1/10. Let k be (-3)/(-24) + 21/i. Factor -1/4 - k*n**3 + 1/4*n**2 + 1/4*n.
-(n - 1)**2*(n + 1)/4
Let r(i) be the first derivative of -2/3*i - i**3 - 1/15*i**5 - 7/6*i**2 - 5/12*i**4 + 14. Factor r(q).
-(q + 1)**3*(q + 2)/3
Suppose -2*l + 7*l - 15 = 0. Suppose 1 = 3*g - 5. Factor -4 - n - n**g - l*n + 0.
-(n + 2)**2
Let x(t) be the first derivative of 4*t**5/25 + t**4/5 - 4*t**3/15 - 2*t**2/5 - 201. Solve x(h) = 0 for h.
-1, 0, 1
Let k(z) = 3*z + 57. Let w be k(-19). Suppose w = 8*a + 4 - 4. Factor 4/5 - 4/5*c**2 + a*c.
-4*(c - 1)*(c + 1)/5
Suppose 17/2*i + 1/2*i**2 + 15 = 0. What is i?
-15, -2
Let y = -1830 + 1833. Let n(i) be the second derivative of -3*i**2 + 1/5*i**5 - 4/3*i**y - 7*i + 1/6*i**4 + 0. Find s such that n(s) = 0.
-1, 3/2
Suppose 4*g - 8*x - 24 = -4*x, 6 = 3*g - x. Solve 8/17*c**3 - 10/17*c**2 + 4/17*c - 2/17*c**4 + g = 0 for c.
0, 1, 2
Let v(f) = f**3 - 7*f**2 - 7*f - 9. Let z(j) = -4*j**2 - 4*j - 4. Let y = -83 - -88. Let x(a) = y*z(a) - 2*v(a). Factor x(q).
-2*(q + 1)**3
What is t in t**3 + 0*t**3 + 2*t**3 + 3*t**2 - 9*t**2 = 0?
0, 2
Factor 374/7*g - 34969/7 - 1/7*g**2.
-(g - 187)**2/7
Suppose 0 = -3*l - 5*g + 341, 0*l + 114 = l + 2*g. Let i = -110 + l. Factor 1/3*j**i - 2/3*j - 1.
(j - 3)*(j + 1)/3
Suppose 1/4*l**3 - 1 + 2*l - 5/4*l**2 = 0. Calculate l.
1, 2
Suppose -3*q - 120 + 132 = 0. Let o(j) be the second derivative of -1/20*j**5 - 1/3*j**q - j**2 - 9*j + 0 - 5/6*j**3. Factor o(b).
-(b + 1)**2*(b + 2)
Let b(c) be the first derivative of -2*c**3/45 + 44*c**2/15 + 6*c + 86. Let b(x) = 0. What is x?
-1, 45
Factor -89*d**3 + 84*d**3 - 1725*d - 5848 + 1348 - 170*d**2.
-5*(d + 4)*(d + 15)**2
Let w = -75 + 78. Factor 25*y**3 - 10*y**3 + y**5 - w*y**4 + 3 - 6*y**2 + y - 17*y**3 + 6*y**4.
(y - 1)**2*(y + 1)**2*(y + 3)
Let m be (-213)/12 + (-3)/12. Let n be (-3)/m + 11/6. Factor 0*b**2 - 5*b**2 - 6*b - 3*b**3 - 5*b**n + b**2.
-3*b*(b + 1)*(b + 2)
Suppose 426 + 102 = -12*o. Let r = 44 + o. Factor -1/3*p**2 + r + 0*p - 1/3*p**3.
-p**2*(p + 1)/3
Let x(h) = h**3 - 23*h**2 + 2*h - 10. Let m be x(23). Factor -2*d - 54*d - m + 24*d + 4*d**2.
4*(d - 9)*(d + 1)
Find m, given that 40*m**2 + 0*m + 0 - 38/5*m**4 + 32*m**3 + 2/5*m**5 = 0.
-1, 0, 10
Find h such that 81/2*h**4 - 21/4*h**5 - 165/2*h**3 + 567/4*h - 27*h**2 + 81/2 = 0.
-1, -2/7, 3
Suppose -2*f - 5*u - 22 + 6 = 0, -5*f + 18 = -2*u. Factor -3 - 140*j**f + 149*j**2 - 3*j**3 + 6 - 9*j.
-3*(j - 1)**3
Let q(h) be the third derivative of -3/10*h**5 + 0 - 1/40*h**6 - 3/2*h**4 + 21*h**2 - 4*h**3 + 0*h. Factor q(j).
-3*(j + 2)**3
Let b(o) be the third derivative of o**6/720 - o**5/60 + 8*o**3/9 + 8*o**2 - 23. What is a in b(a) = 0?
-2, 4
Let a(x) be the first derivative of -15 + 1/2*x**4 + 10/9*x**3 + 1/3*x**2 - 4/9*x**6 - 2/3*x**5 + 0*x. What is i in a(i) = 0?
-1, -1/4, 0, 1
Let y(u) = 118*u + 19 + 28*u**2 + 157 - 6*u. Suppose 61*m - 5 = 60*m. Let d(p) = 9*p**2 + 37*p + 59. Let h(a) = m*y(a) - 16*d(a). Factor h(b).
-4*(b + 4)**2
Let s(j) be the second derivative of -j**4/84 + 3*j**3/7 + 20*j**2/7 + 380*j. Factor s(b).
-(b - 20)*(b + 2)/7
Let l(g) be the second derivative of g**5/100 + 7*g**4/60 + 8*g**3/15 + 6*g**2/5 - 430*g. Factor l(w).
(w + 2)**2*(w + 3)/5
Find u, given that -48/5*u**2 + 6/5*u**4 - 6 + 1/5*u**5 - 2/5*u**3 - 71/5*u = 0.
-5, -2, -1, 3
Let z(y) be the first derivative of y**4/8 + y**3/6 - 10*y**2 - 56*y + 162. Factor z(b).
(b - 7)*(b + 4)**2/2
Let y(g) be the first derivative of 9/16*g**4 + 6 - g + 1/10*g**5 + 0*g**2 + 11/12*g**3. Solve y(a) = 0 for a.
-2, -1, 1/2
Suppose -12 = -5*q - 4*z, 5*q - 4*q - 5*z = 14. Suppose -2*y + 5*v = -6*y + 3, 5*y - 14 = q*v. Factor o - 3*o**3 - 16*o**2 + 16*o**y + 2*o**3.
-o*(o - 1)*(o + 1)
Let -2/17*a**4 + 0*a + 0 + 12/17*a**3 - 16/17*a**2 = 0. Calculate a.
0, 2, 4
Let g(l) be the third derivative of l**5/360 - l**4/24 - 4*l**3/9 - 78*l**2. Factor g(f).
(f - 8)*(f + 2)/6
Let b = 38 - 31. Factor 7*n - n**2 - 11*n + n - 3 + b*n.
-(n - 3)*(n - 1)
Suppose g**3 + 20*g + g**3 - 25*g - 26*g**2 - 23*g = 0. Calculate g.
-1, 0, 14
Let h(u) = u - 29. Let a be h(29). Let s(r) be the second derivative of 2/9*r**3 - 6*r - 1/3*r**2 + a - 1/18*r**4. Let s(i) = 0. What is i?
1
What is n in 8/11*n**2 + 0 - 2/11*n**4 - 2/11*n**5 + 12/11*n**3 - 16/11*n = 0?
-2, 0, 1, 2
Let v(y) = -y - 9. Let n be v(-13). Let b(m) be the second derivative of 1/6*m**n + 0*m**2 + 0 + 0*m**3 + m. Factor b(w).
2*w**2
Suppose -391 + 365 = -13*a. Factor 0 + 4*j**3 + 8/3*j**2 + 0*j + a*j**4 + 1/3*j**5.
j**2*(j + 2)**3/3
Let 2/7*m**2 - 108/7 - 50/7*m = 0. Calculate m.
-2, 27
Let f be (-8)/3*(-159)/530. Factor 0 + f*j - 2/5*j**2.
-2*j*(j - 2)/5
Let k(c) = -c**3 - 4*c**2 + 10*c - 9. Let d be k(-6). Let p = 215/154 - 17/14. Factor p*w* | {
"pile_set_name": "DM Mathematics"
} |
r and 12?
12
Let r be 2/(28/385)*2. What is the highest common factor of 11 and r?
11
Let d(b) = -2*b - 10. Let a be d(-9). Let q be a*3*(-1)/(-2). Suppose -3*p = c - p - 34, -p = -5*c + 115. Calculate the greatest common divisor of q and c.
12
Let d(n) = n + 12. Let x be d(-8). Let r be (1 - (-4)/(-16))*4. Suppose -r*o - o = 5*m - 159, -9 = -3*m. Calculate the highest common factor of o and x.
4
Let a = -46 + 48. Let t be ((-220)/50)/(a/(-30)). What is the greatest common divisor of t and 22?
22
Let r(v) = 3*v + 3. Let b be r(-13). Let n = b - -113. What is the greatest common factor of n and 11?
11
Let m be 0/((-4 + 6)/(-1)). Suppose -7*k + m*k = -70. Calculate the greatest common factor of 30 and k.
10
Let k = 13 - -12. Let t be (-15)/120 - 1801/(-8). What is the highest common divisor of t and k?
25
Let v(u) = 124*u - 160. Let b be v(4). Calculate the highest common factor of b and 48.
48
Let u(b) = -4*b**3 + 65*b**2 + 34*b + 12. Let m be u(15). What is the greatest common divisor of m and 61?
61
Suppose -4*f + 179 = -1. Suppose -s + k - 15 = -2*s, -f = -3*s - k. Calculate the greatest common factor of s and 15.
15
Let s = -26 - -38. Let t = s + -10. Let v be 2/(-1) + 8*t. What is the greatest common factor of v and 2?
2
Let g(j) = -j**3 - 16*j**2 + 3*j - 4. Let p be g(-16). Let d = p - -64. Calculate the highest common divisor of d and 8.
4
Let a be (-6 - 16/(-3))/((-2)/1110). Calculate the highest common divisor of a and 10.
10
Suppose 5*f + 24 = -271. Let j = -53 - f. What is the greatest common divisor of j and 54?
6
Let u be (0 + -3)*((-556)/(-12) + -4). Let n = u + 217. Calculate the highest common factor of 10 and n.
10
Let q = -348 - -351. Calculate the greatest common divisor of q and 48.
3
Suppose 5*k = -o + 493, 9*o = 11*o + 4. What is the highest common factor of k and 18?
9
Suppose -31*i + 33*i = 3*p - 1611, 4*p = -3*i + 2165. What is the greatest common factor of 98 and p?
49
Suppose -4*z + 27 = -3*i, -3*z - 2*i + 42 = 3*i. Suppose z*k - 4*k = 280. What is the highest common divisor of 14 and k?
14
Let v be 1/6 + (-13667)/(-474). Calculate the highest common factor of 899 and v.
29
Suppose 4*g = -4*j + 64, 2*g + 6 - 30 = 2*j. Calculate the greatest common divisor of 357 and g.
7
Let p = 408 - 406. Calculate the greatest common factor of p and 8.
2
Suppose 3*d - 13 = 2*d. Let x(z) = z + 11. Let b be x(-7). Let g = b + 9. What is the greatest common divisor of d and g?
13
Let r(n) = n**2 - 3*n + 12. Let f be r(4). Let z be ((-6)/(-15))/(3/(-540)*-3). What is the highest common divisor of f and z?
8
Let x(m) = 87*m**2 - 11*m + 26. Let p be x(2). What is the greatest common divisor of p and 32?
32
Let c = 1081 + -1075. Suppose -3*p = -5*u - 332 - 92, 3*p + 3*u = 408. What is the highest common factor of c and p?
6
Suppose h = -3*x + 322 + 115, -x - 5*h + 141 = 0. Calculate the greatest common factor of x and 73.
73
Suppose 2*j - 4*g = 64 - 26, 5*j - 3*g - 102 = 0. What is the greatest common factor of j and 84?
21
Suppose 4*d + d - 205 = 5*f, d - 2*f - 36 = 0. Let g be -25 - (-18)/4*(-84)/(-63). Let h = d + g. What is the highest common divisor of h and 3?
3
Suppose 4*l = -2*o + 32, -4*o = -4*l - 0*l - 100. Suppose 7*i = o*i - 2025. What is the greatest common divisor of 90 and i?
45
Let c(m) be the first derivative of -m**4 - 4*m**3/3 - m**2/2 - 2*m - 20. Let y be c(-2). What is the highest common factor of y and 160?
16
Let z(c) = -5*c - 17. Let q = -36 - -30. Let p be z(q). Suppose -4*r = -p*r + 81. Calculate the highest common factor of 6 and r.
3
Let z be 11/(-3)*(21 + -33). Calculate the highest common factor of z and 11.
11
Suppose 2*l = -2*l + 180. Suppose 4*r - r - l = 0. Let u = 412 + -292. Calculate the greatest common factor of u and r.
15
Let c be (-2 - (-12)/5)*5. Suppose -c*q - l + 85 = 0, 5*l - 25 + 0 = 0. What is the greatest common factor of q and 5?
5
Let r(g) = g**2 + 38*g + 349. Let q be r(-13). Let s(n) = n**2 + n - 4. Let i be s(-5). Calculate the highest common divisor of q and i.
8
Let j = 913 - 413. Calculate the highest common factor of j and 25.
25
Suppose -5*x = 4*g + 84, -5*g - 9 = 5*x + 91. Let h = 40 - g. What is the highest common factor of h and 8?
8
Let j be 1*5/2*2. Suppose -4 + 16 = 4*c, 4*u = 3*c - 189. Let a = u - -50. Calculate the greatest common factor of j and a.
5
Let v be 3/((-6)/(-12)*6/86). Suppose 5*a - 162 = 53. Calculate the greatest common factor of a and v.
43
Let s = -687 - -701. What is the greatest common factor of 154 and s?
14
Let x(t) = -t**3 - 6*t**2 + 6*t + 12. Let w be x(-7). Let l = 19 - w. Suppose g + 3*g - 120 = l. Calculate the greatest common divisor of g and 20.
10
Let f(q) = q**3 - 4*q**2 + q - 7. Let x be f(5). Let m be -4*4/(-16)*-3 + x. Calculate the highest common divisor of 30 and m.
10
Let t(p) = 2*p + 2. Let g be t(-1). Suppose g = -a - a + 108. Let f = 46 + -28. Calculate the greatest common factor of a and f.
18
Let z be 124*(147/(-14))/(-21). Calculate the highest common factor of 558 and z.
62
Let r = 770 + -740. Calculate the greatest common factor of 165 and r.
15
Let h(k) = k**2 - 29*k - 52. Let m be h(31). Let n = 45 - -25. What is the greatest common divisor of n and m?
10
Suppose -13*c = -6*c - 4186. What is the highest common factor of 92 and c?
46
Let z be -10*(-2)/12*-3. Let j(h) = -21*h - 6. Let b be j(z). Let v = b + -45. What is the greatest common divisor of v and 18?
18
Suppose -t + 4*y + 491 + 42 = 0, t - 488 = -5*y. Calculate the greatest common factor of t and 27.
27
Let s = 158 - 153. Suppose -4*i - s*b = -320, i = 2*i + b - 80. Calculate the highest common divisor of i and 100.
20
Suppose -2*h = -7*h - 5, -5*z + 87 = 3*h. Suppose 7*r - 2*j - z = 3*r, -5*r + 27 = -j. Calculate the greatest common factor of 2 and r.
2
Let v = -119 - -641. Suppose -2*j = -4*t - 278, 3*j - 4*t - v + 97 = 0. Let m = -26 + j. What is the greatest common divisor of 11 and m?
11
Let n = -9 + 20. Suppose -h + n + 1 = 0. Let c = 26 + 70. Calculate the greatest common divisor of c and h.
12
Let l = -43 + 38. Let q be 4 - (l + -3) - 3. What is the highest common factor of 36 and q?
9
Suppose 12*f - 448 = 5*f. Let t = f + -63. Calculate the greatest common divisor of t and 6.
1
Let t be (-20)/(-6)*798/70. What is the greatest common divisor of t and 19?
19
Let x = -11 + 40. Suppose v = x - 23. Calculate the greatest common factor of v and 3.
3
Let n = -22 + 34. Let f(b) = 4*b**2 + 65*b + 40. Let i be f(-16). Calculate the highest common factor of n and i.
12
Let i be 225/(-45)*(-68)/10. Calculate the greatest common divisor of 34 and i.
34
Let l be -1*((-3)/1 + -4). Suppose 4*p - 36 = -2*s, -3*s - 2*p + l = -43. Suppose 0 = -4*t + 8, -y = t - 6 - s. What is the greatest common factor of y and 80?
20
Suppose -4*s - 8*b + 10*b = -2238, s = -2*b + 557. What is the highest common factor of 52 and s?
13
Suppose -3*d + 3*s + 124 = -110, 2*d - 171 = -3*s. What is the highest common divisor of 216 and d?
27
Let r = 23 - 13. Suppose -5*c + 21 = -2*h, -3*h - 23 + 9 = -4*c. Calculate the highest common factor of r and c.
5
Suppose -198 = 50*c - 54*c + 5*y, -6*c + 3*y + 288 = 0. Let m be (-4)/((-92)/(-47) - 2). What is the greatest common factor of m and c?
47
Let q be 12/222 + 127920/481. Calculate the greatest common divisor of q and 14.
14
Suppose 8*j = 925 - 109. Calculate the highest common divisor of j and 6.
6
Let h = 62 + 106. Suppose -4*n = -4*b - h, -3*n + 2 = 2*b - 114. Suppose 5*x - n = -5*l, x - 4*l = -3*l. What is the greatest common divisor of 8 and x?
4
Let p(o) = 2*o**3 - 8*o**2 + 10*o - 3. Let g be p(3). Suppose -7*c = -54 - g. Calculate the highest common divisor of c and 45.
9
Let q = 769 + -743. What is the greatest common factor of q and 962?
26
Let q(o) = 13*o + 1. Let z be q(1). Suppose 0 = 3*u - 4*u + z. Let g = -12 + u. What is the highest common divisor of 1 and g?
1
Suppose 4*v - 64 - 16 = 0. What is the greatest common factor of 260 and v?
20
Suppose 0 = 4*a - 3*w - 216, 2*a + 2*w - 154 = -46. What is the highest common factor of 45 and a?
9
Let s(t) = 2*t**2 - 22*t - 15. Let m be s(10). Let c = -23 - m. What is the highest common factor of 32 and c?
4
Let f be ((-8)/10)/(8/(-140)). Let q be (273/f)/((-3)/(-8)). Let w be 5*1*156/10. What is | {
"pile_set_name": "DM Mathematics"
} |
- 195751*r**3 - 32*r*v**2 + r wrt v?
186*r**3*v - 5*r**3 - 64*r*v
What is the first derivative of -t**4 + 2*t**3 + 298*t**2 - 57548?
-4*t**3 + 6*t**2 + 596*t
What is the second derivative of -5825*g**3*i**2 - 5*g**3*s**2 + 3*g**2*s**2 - 229*i**2*s**2 - 189421*i wrt i?
-11650*g**3 - 458*s**2
What is the second derivative of -3*k**3*o**2 + 2*k**3*o + k**2*o**2 + 41*k**2*o + 2378*k*o**2 + 17*k - o**2 - 6*o + 2 wrt o?
-6*k**3 + 2*k**2 + 4756*k - 2
Find the second derivative of -30698*c**5 - 4*c**2 - 1211*c - 416 wrt c.
-613960*c**3 - 8
Differentiate -83226*d**2 + 766462 wrt d.
-166452*d
Differentiate -61847*c**4*q + 2*c**2*q - 211990*q + 2 with respect to c.
-247388*c**3*q + 4*c*q
What is the derivative of -2*h*k*n + 15*h*k + 7*h*n - 585*h - 28*k*n + 62*k + 11*n + 2 wrt k?
-2*h*n + 15*h - 28*n + 62
Find the first derivative of 6143*y**3 + 16*y**2 + 1493521 wrt y.
18429*y**2 + 32*y
Find the third derivative of -r**2*z**6 + 2339*r**2*z**4 + 2*r**2*z - 14*r**2 - 9*r*z**2 + 2 wrt z.
-120*r**2*z**3 + 56136*r**2*z
What is the first derivative of 4*f*h**2*u + 27*f*h**2 - 6*f*h*u - 52*f*h + 12*f*u + f + 16*u wrt u?
4*f*h**2 - 6*f*h + 12*f + 16
What is the second derivative of -337*v*w**3 - 10*v*w**2 + 8*v*w + 2*w**3 - 2*w**2 - 380*w + 4 wrt w?
-2022*v*w - 20*v + 12*w - 4
Find the first derivative of 4165667*g - 1290883.
4165667
Find the third derivative of -1215454*o**5 - 739780*o**2 wrt o.
-72927240*o**2
What is the derivative of 4*h*r*t**2 + h*r*t + 28*h - r*t**2 - 9*r + 5*t**2 - 7 wrt h?
4*r*t**2 + r*t + 28
Find the second derivative of -109*p**5 + 715*p**3 - 60896*p - 2.
-2180*p**3 + 4290*p
What is the third derivative of 2037581*l**5 - 792594*l**2 wrt l?
122254860*l**2
Find the first derivative of f*n*q + 67*f*n + 1184*f*q**2 - 3*f - n*q + 3*n + 115562*q**2 wrt f.
n*q + 67*n + 1184*q**2 - 3
What is the third derivative of -2*b*q**4 + 2*b*q**3 - 221*b*q**2 - 2*b - 6*q**4 + 39*q**3 + q**2 + 3*q wrt q?
-48*b*q + 12*b - 144*q + 234
Differentiate 19*a**2*q - 18273*a**2 - 2*a*q + 560*q with respect to q.
19*a**2 - 2*a + 560
What is the second derivative of 27040*a**2*k - 105*a + 93*k - 4 wrt a?
54080*k
What is the second derivative of 12359*d**2*l**2 + 4*d**2*l - d*l**2 + 109*l + 2 wrt l?
24718*d**2 - 2*d
What is the second derivative of -959*t**4 + 19*t**2 + 210717*t?
-11508*t**2 + 38
Differentiate -a**2 + 8081*a*n**2 - a*n - 13*n**2 - 25455*n wrt a.
-2*a + 8081*n**2 - n
What is the third derivative of -27174*m**3 - 6123*m**2 - 3*m + 2?
-163044
Differentiate 4854*x**2 + x + 151673 wrt x.
9708*x + 1
What is the first derivative of 21414*f**4 + 16963 wrt f?
85656*f**3
Differentiate -36357*s**4 - 4*s**2 - 911776 with respect to s.
-145428*s**3 - 8*s
Find the second derivative of -5214*z**3 - 81*z**2 - 2097792*z.
-31284*z - 162
Find the second derivative of g*v**3 + 19*g*v**2 - 338*g + 471*v**3 + 10*v - 1 wrt v.
6*g*v + 38*g + 2826*v
Find the second derivative of 1612000*v**4 - 317623*v.
19344000*v**2
What is the derivative of 479293*p**2 + 438740?
958586*p
Differentiate -485*c*d**3 + 3*c + 24*d**3 - 14040 wrt d.
-1455*c*d**2 + 72*d**2
Find the second derivative of 7*a*i**3*l*v**2 - 3130*a*i**3*l*v - 6*a*i**2*l - a*i**2*v**2 + i*l*v + 177*l*v**2 wrt v.
14*a*i**3*l - 2*a*i**2 + 354*l
Find the second derivative of 1708*c**2*h**2 + 243228*c**2*h - 5*c*h**3 + 3*c*h**2 - h**3 wrt h.
3416*c**2 - 30*c*h + 6*c - 6*h
What is the first derivative of -3*l**2*m - 5*l**2 - 110*l*m + 37265*m wrt l?
-6*l*m - 10*l - 110*m
Find the third derivative of -2655752*a**2*j**3 + a**2*j**2 - 6*a**2 - 6*a*j**2 - 730 wrt j.
-15934512*a**2
Find the third derivative of -133*i**3*r**3 - 3*i**3*r**2 - 2*i**2*r**3 - 27*r**3 + 14491*r**2 wrt r.
-798*i**3 - 12*i**2 - 162
Differentiate 260507*v**2 + 345278 wrt v.
521014*v
What is the second derivative of 314*n**3*u**2 + 472*n**3*v**2 - 33*n*u*v**3 - 21*n*v**3 + 1991*u**2*v**3 wrt u?
628*n**3 + 3982*v**3
Find the third derivative of 2*o**5 - 6445*o**3 + 5*o**2 + 539*o.
120*o**2 - 38670
Differentiate 3*i*y**3 - 9*i*y**2 - 4*i*y + 488*i + 3*y**3 - 31098*y with respect to i.
3*y**3 - 9*y**2 - 4*y + 488
Find the third derivative of 1029*w**5 + 6*w**4 - 4*w**3 - 52509*w**2.
61740*w**2 + 144*w - 24
What is the derivative of -3*q*x**3 + 304*q*x**2 - 32*q*x + q - 413456*x**3 wrt q?
-3*x**3 + 304*x**2 - 32*x + 1
Differentiate -27*a**4 + 24*a**3 + 5*a**2 + 28616 with respect to a.
-108*a**3 + 72*a**2 + 10*a
Differentiate -9*s**2*w - 76*s**2 + s*w + 2*s + 305256*w with respect to s.
-18*s*w - 152*s + w + 2
Find the third derivative of -4*i**6 + 10710*i**3 - 31*i**2 - 92.
-480*i**3 + 64260
What is the second derivative of 208905*u**4 - u + 273438 wrt u?
2506860*u**2
Find the third derivative of 3*p**5 + 3*p**4 + 204*p**3 - 21204*p**2 wrt p.
180*p**2 + 72*p + 1224
What is the second derivative of 196127*k**2*o**3 - 328*k*o**3 - 2*k*o**2 + 4*k*o - 2*k + 7*o**2 wrt k?
392254*o**3
What is the first derivative of 2*a**4 - 23740*a**2 - 122322?
8*a**3 - 47480*a
Differentiate 2*f**3*r + 1068*f**3 - 2*f**2 - 389*f*r - 4*f - 32*r + 3 wrt r.
2*f**3 - 389*f - 32
What is the third derivative of 16558*b**5 - 8*b**3 - 3*b**2 - 3714*b - 2 wrt b?
993480*b**2 - 48
Find the third derivative of 1015986*w**3 + 262424*w**2 wrt w.
6095916
What is the second derivative of q**5 - 217*q**4 + 3641*q + 2 wrt q?
20*q**3 - 2604*q**2
What is the third derivative of 277826*h**4 - 4*h**3 + 1233439*h**2 wrt h?
6667824*h - 24
Find the third derivative of -3770*i**6*n**2 + 3*i**3*n**2 + 97*i**2*n**2 - 2*i**2*n - 6*i**2 - 3*i*n**2 wrt i.
-452400*i**3*n**2 + 18*n**2
What is the second derivative of 2*k**3*z**3 - 575*k**3 - 13*k**2*z + k**2 - 2*k*z**3 - 4*k*z**2 - 270*z**3 - 6 wrt k?
12*k*z**3 - 3450*k - 26*z + 2
What is the second derivative of 41817*q**5 + 12668*q?
836340*q**3
Find the first derivative of -6*s**2 + 31393*s - 334458.
-12*s + 31393
Differentiate -27836*b*i**3 + 2*i**3 - 11974*i**2 with respect to b.
-27836*i**3
What is the second derivative of -2597224*j**3 - 2*j + 106826?
-15583344*j
Find the third derivative of -22877*k**3*l - 2409*k**2*l - k**2 - k*l wrt k.
-137262*l
What is the derivative of 9*z**4 + 1055*z**3 + 2*z**2 + 2*z + 646984?
36*z**3 + 3165*z**2 + 4*z + 2
Find the third derivative of -32*i*k*p**3 + i*p**3 - 43*i - 86*k*p**3 - 3429*k*p**2 wrt p.
-192*i*k + 6*i - 516*k
What is the second derivative of -5428964*n**2 + 3718315*n?
-10857928
What is the second derivative of -a**5*m + 1421*a**5 + 6*a*m - a - 12*m - 2 wrt a?
-20*a**3*m + 28420*a**3
What is the second derivative of -807155*x**4 - x**2 - 16974*x + 16?
-9685860*x**2 - 2
Differentiate -29*c*x*z + c*x + 2761*c*z**2 - 52*x*z**2 - 1069*x with respect to c.
-29*x*z + x + 2761*z**2
What is the second derivative of 3432*w**2*z**3 - w**2*z - 13*w**2 + 112*w*z**2 - 11*w*z - z**2 + z + 22 wrt z?
20592*w**2*z + 224*w - 2
Find the second derivative of -319096*c**2*i**2*k**3 + c**2*i**2*k + 176158*c*k**3 + i**2*k**3 - 2*i*k**3 wrt c.
-638192*i**2*k**3 + 2*i**2*k
Find the third derivative of 2*z**6 - 92212*z**5 + 2*z**4 + 67*z**2 + 28*z - 1.
240*z**3 - 5532720*z**2 + 48*z
What is the second derivative of 20*g**4 - g**3 - 1260*g**2 - 44982*g?
240*g**2 - 6*g - 2520
Find the first derivative of -29493*p**2 - 8*p + 3625993 wrt p.
-58986*p - 8
Find the third derivative of 10*k**5 + 8615*k**4 - 40*k**2 - 2*k - 197 wrt k.
600*k**2 + 206760*k
Find the third derivative of 2939233*g**2*j**3 + g**2*j**2 + 143*g*j - 3*g - 22*j**2 wrt j.
17635398*g**2
Differentiate -21685*j**2*p**2 + 2*j**2*p + 19681*p**2 wrt j.
-43370*j*p**2 + 4*j*p
What is the second derivative of -271135*m**2*o**2 - 35880*m**2*o wrt o?
-542270*m**2
Find the first derivative of -1442789*y + 2834438.
-1442789
Find the first derivative of -122*l**4*z - 2*l**2*z**2 + 103884*z**2 wrt l.
-488*l**3*z - 4*l*z**2
What is the derivative of 5*k**4 + 7585*k**2 + 104794 wrt k?
20*k**3 + 15170*k
What is the third derivative of 9*g**5 - 458*g**4 - g**3 + g**2 + 8119*g wrt g?
540*g**2 - 10992*g - 6
What is the first derivative of -1922804*z**4 - 3220008?
-7691216*z**3
What is the derivative of -1411937*p + 4014841 wrt p?
-1411937
Find the third derivative of -565102*l**3 - 8*l**2 + l - 3441 wrt l.
-3390612
What is the first derivative of 11*v**2 + 2918*v*x**2 - 5*x**2 - x - 5 | {
"pile_set_name": "DM Mathematics"
} |
r?
5
What is 279883 to the power of 1/4, to the nearest integer?
23
What is 88517 to the power of 1/6, to the nearest integer?
7
What is 22881 to the power of 1/2, to the nearest integer?
151
What is 2886265 to the power of 1/3, to the nearest integer?
142
What is the ninth root of 68129 to the nearest integer?
3
What is 287635 to the power of 1/3, to the nearest integer?
66
What is the third root of 1393474 to the nearest integer?
112
What is the eighth root of 5735305 to the nearest integer?
7
What is the third root of 442673 to the nearest integer?
76
What is 123252 to the power of 1/4, to the nearest integer?
19
What is the cube root of 668623 to the nearest integer?
87
What is the ninth root of 29690 to the nearest integer?
3
What is the fourth root of 265685 to the nearest integer?
23
What is the seventh root of 98583 to the nearest integer?
5
What is 15141476 to the power of 1/9, to the nearest integer?
6
What is the sixth root of 10984238 to the nearest integer?
15
What is the square root of 3813091 to the nearest integer?
1953
What is 1992026 to the power of 1/10, to the nearest integer?
4
What is the square root of 340253 to the nearest integer?
583
What is 529690 to the power of 1/8, to the nearest integer?
5
What is the cube root of 15444796 to the nearest integer?
249
What is the third root of 40758 to the nearest integer?
34
What is the eighth root of 17872288 to the nearest integer?
8
What is 105155 to the power of 1/8, to the nearest integer?
4
What is the cube root of 828286 to the nearest integer?
94
What is the square root of 436163 to the nearest integer?
660
What is the square root of 8532603 to the nearest integer?
2921
What is 485055 to the power of 1/7, to the nearest integer?
6
What is the square root of 12457428 to the nearest integer?
3530
What is 312603 to the power of 1/9, to the nearest integer?
4
What is the square root of 5098654 to the nearest integer?
2258
What is 641780 to the power of 1/2, to the nearest integer?
801
What is the third root of 291777 to the nearest integer?
66
What is 123343 to the power of 1/5, to the nearest integer?
10
What is 350863 to the power of 1/7, to the nearest integer?
6
What is the ninth root of 2449092 to the nearest integer?
5
What is the square root of 11024551 to the nearest integer?
3320
What is the cube root of 384342 to the nearest integer?
73
What is the square root of 6198759 to the nearest integer?
2490
What is the third root of 962342 to the nearest integer?
99
What is the cube root of 8058976 to the nearest integer?
200
What is the fourth root of 159809 to the nearest integer?
20
What is the cube root of 935219 to the nearest integer?
98
What is the third root of 18555799 to the nearest integer?
265
What is the eighth root of 269157 to the nearest integer?
5
What is 4208578 to the power of 1/3, to the nearest integer?
161
What is the third root of 875227 to the nearest integer?
96
What is the cube root of 357389 to the nearest integer?
71
What is 53099 to the power of 1/8, to the nearest integer?
4
What is the sixth root of 1830407 to the nearest integer?
11
What is the square root of 396984 to the nearest integer?
630
What is 525651 to the power of 1/4, to the nearest integer?
27
What is the square root of 2028942 to the nearest integer?
1424
What is the third root of 642679 to the nearest integer?
86
What is the square root of 20172501 to the nearest integer?
4491
What is the fifth root of 1022663 to the nearest integer?
16
What is the fourth root of 16103422 to the nearest integer?
63
What is the square root of 582267 to the nearest integer?
763
What is 108397 to the power of 1/3, to the nearest integer?
48
What is 8267263 to the power of 1/9, to the nearest integer?
6
What is the cube root of 107546 to the nearest integer?
48
What is 37577814 to the power of 1/7, to the nearest integer?
12
What is the third root of 16435 to the nearest integer?
25
What is 4973992 to the power of 1/2, to the nearest integer?
2230
What is 502194 to the power of 1/2, to the nearest integer?
709
What is 10453269 to the power of 1/3, to the nearest integer?
219
What is 2984906 to the power of 1/3, to the nearest integer?
144
What is the third root of 16597345 to the nearest integer?
255
What is the square root of 285898 to the nearest integer?
535
What is 15496791 to the power of 1/7, to the nearest integer?
11
What is the fifth root of 2025702 to the nearest integer?
18
What is the eighth root of 2954284 to the nearest integer?
6
What is the fourth root of 563200 to the nearest integer?
27
What is 99324 to the power of 1/8, to the nearest integer?
4
What is 2659901 to the power of 1/6, to the nearest integer?
12
What is the ninth root of 2578965 to the nearest integer?
5
What is 4431474 to the power of 1/5, to the nearest integer?
21
What is the eighth root of 2865382 to the nearest integer?
6
What is the third root of 735275 to the nearest integer?
90
What is the cube root of 158963 to the nearest integer?
54
What is 3013911 to the power of 1/2, to the nearest integer?
1736
What is the cube root of 202978 to the nearest integer?
59
What is the square root of 7725118 to the nearest integer?
2779
What is 10165145 to the power of 1/6, to the nearest integer?
15
What is the square root of 4723045 to the nearest integer?
2173
What is 128877 to the power of 1/2, to the nearest integer?
359
What is 7981070 to the power of 1/2, to the nearest integer?
2825
What is 67127 to the power of 1/9, to the nearest integer?
3
What is 547548 to the power of 1/9, to the nearest integer?
4
What is 19634074 to the power of 1/3, to the nearest integer?
270
What is the third root of 1626697 to the nearest integer?
118
What is the square root of 1936486 to the nearest integer?
1392
What is the eighth root of 566783 to the nearest integer?
5
What is 646806 to the power of 1/7, to the nearest integer?
7
What is the third root of 263588 to the nearest integer?
64
What is 16433761 to the power of 1/8, to the nearest integer?
8
What is the tenth root of 478326 to the nearest integer?
4
What is 13675269 to the power of 1/10, to the nearest integer?
5
What is 61915 to the power of 1/2, to the nearest integer?
249
What is 4431114 to the power of 1/9, to the nearest integer?
5
What is 189595 to the power of 1/10, to the nearest integer?
3
What is the third root of 260040 to the nearest integer?
64
What is 42253584 to the power of 1/9, to the nearest integer?
7
What is the square root of 169732 to the nearest integer?
412
What is the square root of 725424 to the nearest integer?
852
What is the third root of 8172699 to the nearest integer?
201
What is the square root of 7977 to the nearest integer?
89
What is the fifth root of 1615641 to the nearest integer?
17
What is 1865307 to the power of 1/2, to the nearest integer?
1366
What is the square root of 2372995 to the nearest integer?
1540
What is the third root of 1493106 to the nearest integer?
114
What is 1006033 to the power of 1/9, to the nearest integer?
5
What is the fourth root of 9353102 to the nearest integer?
55
What is the tenth root of 2280722 to the nearest integer?
4
What is the tenth root of 5684939 to the nearest integer?
5
What is the sixth root of 881100 to the nearest integer?
10
What is 7676444 to the power of 1/3, to the nearest integer?
197
What is 206940 to the power of 1/3, to the nearest integer?
59
What is 461741 to the power of 1/2, to the nearest integer?
680
What is the square root of 13198487 to the nearest integer?
3633
What is the tenth root of 11165389 to the nearest integer?
5
What is the third root of 14500703 to the nearest integer?
244
What is the square root of 242963 to the nearest integer?
493
What is 97188 to the power of 1/2, to the nearest integer?
312
What is 131378 to the power of 1/2, to the nearest integer?
362
What is the eighth root of 452352 to the nearest integer?
5
What is the eighth root of 3441694 to the nearest integer?
7
What is the cube root of 3757743 to the nearest integer?
155
What is the cube root of 347731 to the nearest integer?
70
What is the square root of 12663963 to the nearest integer?
3559
What is the sixth root of 350737 to the nearest integer?
8
What is 22193434 to the power of 1/8, to the nea | {
"pile_set_name": "DM Mathematics"
} |
s x(5)?
-4
Let l(o) = -o**3 - 9*o**2 - 2*o - 4. Let p be 371/159 - (-68)/(-6). Determine l(p).
14
Suppose -3*o + 3 = d + 1, 16 = 4*o - 2*d. Let v be ((-4)/(-12))/(o/18). Let m(c) = -2 + 7*c**2 - 2*c**3 - 2*c**2 + 4 + c**v - 3*c. Calculate m(4).
6
Let z(g) = g**3 - 4*g**2 - 6*g - 2. Let w be z(5). Let k(d) be the second derivative of -1/12*d**4 - 7/6*d**3 + 0 + 2*d + 9/2*d**2. Determine k(w).
9
Suppose -2*n - o = -0*n + 14, 12 = -3*o. Let h(s) = 0*s**3 + 7 - 5 - 2*s**2 + 117*s - 116*s + 7*s**2 + s**3. Determine h(n).
-3
Let f(n) = n + 15. Let m be f(-7). Let b(z) = z**2 + 3*z - 2. Let r be b(-3). Let y = r + m. Let c(w) = -w**2 + 6*w. What is c(y)?
0
Let h(y) be the second derivative of y**4/6 - 5*y**3/6 - 145*y. What is h(4)?
12
Suppose -9*i = 70*i + 790. Let r(k) be the third derivative of -k**5/60 - 5*k**4/12 + 7*k**3/6 - k**2. Determine r(i).
7
Let o(x) be the first derivative of x**2 - 5*x - 2. What is o(6)?
7
Let c be (-12)/(-42) - (-38)/14. Let f(d) = -4 + 102*d - 106*d + c. Give f(-5).
19
Let d = 9 + -7. Suppose -2*l + 30 = -d. Let g(z) = 6*z + 18*z**2 - 2*z - l*z**2. Determine g(-3).
6
Let q(p) be the first derivative of -p**3/3 + 6*p - 308. Calculate q(-6).
-30
Let s(v) be the second derivative of 0 + 1/6*v**3 + 1/4*v**4 + 1/2*v**2 - 3*v. Give s(-1).
3
Let h(j) = j**2 - 3*j - 3. Suppose 7*s = 10*s + 99. Let a = s + 58. Let r = -21 + a. Give h(r).
1
Let j(h) be the third derivative of -11*h**2 + 0 - 1/120*h**6 - 1/12*h**4 - 2/3*h**3 + 0*h + 1/15*h**5. Give j(3).
-1
Let i(x) be the first derivative of -2*x**2 - 10*x + 44. What is i(-4)?
6
Let z(i) = -i**2 - 25*i + 7. Let b(o) = 3*o**2 + 71*o - 18. Let v(m) = 3*b(m) + 8*z(m). Give v(-11).
-20
Let w = 5 - 3. Let m(r) be the third derivative of -r**5/120 + r**4/8 - r**3/6 + 13*r**2. Let y(l) be the first derivative of m(l). Give y(w).
1
Suppose 3*y = 4*y + 63. Let j = 510 + y. Let f(o) = -447 + j - 4*o. Give f(5).
-20
Let z = 7 + -5. Let y = z + 3. Let u(t) = y - 2*t + 0 - 3 - 1. Calculate u(-1).
3
Suppose -26 = 4*q - p, p - 4 = 2*q - 4*p. Let v(b) = 3*b. What is v(q)?
-21
Let g = -19 - -27. Let v(x) = g - 2*x + 13*x - 6 + 0*x. Let l(h) = -5*h - 1. Let u(k) = -9*l(k) - 4*v(k). What is u(-4)?
-3
Let t(a) be the first derivative of 3*a**2 + 13*a + 479. Calculate t(-3).
-5
Suppose -10*u + u = -18. Let c(w) = 2*w - 2. Calculate c(u).
2
Let h(u) = 5*u**2 + 1. Suppose -3*q - 5*z = -2*q + 21, -q + z + 3 = 0. Determine h(q).
6
Let g(v) = 414*v**2 - 418*v**2 - 4*v + v**3 + v. Give g(5).
10
Let y(m) = -4*m**3 - m**2. Let c be y(-1). Let w(s) be the second derivative of -2*s**2 + 1/6*s**4 + 5*s + 0 - 1/2*s**3. Determine w(c).
5
Let f(r) = 5 - 2 - 4*r - 5*r**2 + 4*r**2. Let o be f(-4). Suppose -3*c + 9 = o*d, -4*c = c + 3*d - 17. Let k(i) = i**2 - i - 4. Give k(c).
8
Let m(o) = -6*o + 64. Let r(u) = 2*u - 21. Let j(z) = -5*m(z) - 16*r(z). What is j(11)?
-6
Let m = 30 - -2. Suppose -d + m = -5*d. Let o(i) = i**2 + 10*i + 12. Give o(d).
-4
Suppose -6 + 32 = -2*a. Let t(x) = -4*x - 47. Calculate t(a).
5
Let j(b) = 8 + b**2 - 15 + 3*b + 12. Give j(-2).
3
Let w(r) = 2*r - 5. Suppose 5*u = -2*y - 20, u + 30 = -3*y - 2*u. Let d be (-7 + y)*(-1 - 0). Suppose 0 = -a - 2*a + 3, 4*s - d = -a. Calculate w(s).
3
Let r(p) = 6*p + 58. Let l(h) = -6*h - 58. Let m(v) = -5*l(v) - 6*r(v). Let s be m(-9). Let n(f) = f**3 + 6*f**2 + 6*f + 1. Determine n(s).
9
Let t = 16 + 47. Suppose -27*q = -20*q - t. Let b(h) = h**3 - 9*h**2 - 2*h + 11. Determine b(q).
-7
Let x(m) be the second derivative of -m**5/20 - 5*m**4/6 - 2*m**3 - 17*m**2/2 - m + 25. Determine x(-9).
10
Let l(n) = -n**2 - 9*n - 5. Let o be l(-5). Let z be ((-6)/(-4))/(o/50). Let m(r) = -7 + z*r**2 + 5 + 3 + 2*r. Give m(-1).
4
Let s(t) = -3*t + 19. Let i(n) = -n. Let q(g) = -2*i(g) + s(g). What is q(9)?
10
Suppose j - 4*j = -9. Let i be 4/(4 - 8)*(j - 2). Let q(n) = -17*n**3 + 2*n**2 + n. Calculate q(i).
18
Let o(u) be the third derivative of -u**6/60 - u**5/15 - u**4/12 + u**3/6 - u**2. Let q be 1/(((-1)/(9 - 15))/((-1)/3)). Determine o(q).
5
Let a(r) = 5*r - 3. Suppose 0 = -3*w - 2*h + 6 + 14, 5*w = -2*h + 36. Let o be (-4)/w*(-30)/(-3). Let i = 7 + o. Calculate a(i).
7
Suppose 2*v = 10, -i + 3*v = -4*i + 87. Suppose 16*u - 24*u = -i. Let l(w) = -w**3 + 5*w**2 - 2*w + 4. What is l(u)?
16
Let x(f) = 14*f**2 - 24*f + 62. Let g(q) = 3*q**2 - 6*q + 15. Let a(d) = -9*g(d) + 2*x(d). Determine a(-9).
16
Let f(v) be the second derivative of v**3/2 + 9*v**2/2 + 10*v. Let l(g) = 5*g**2 - 61*g + 5. Let t be l(12). What is f(t)?
-12
Suppose -26*q + 22*q = -32. Let t be (q/10)/(26/65). Let d(j) = -t*j + 0 - 6 + 2 + 6. Give d(6).
-10
Suppose 0*i + 5*i = 35. Suppose -3*o = -6, 0 = 5*v - 4*o + 31 + i. Let j(r) be the third derivative of r**5/60 + r**4/3 + r**3 + r**2. Calculate j(v).
-6
Suppose -15 = -5*w + 15. Let a(o) = -7*o - o**2 + o - 14 - w*o. Let b be a(-10). Let h(i) = -i**2 + 6*i + 2. What is h(b)?
2
Let x = -3 + 4. Let r(u) = 1 + 14*u - 1 - 2*u. What is r(x)?
12
Let d(i) be the first derivative of -i**5/40 - i**4/24 - 5*i**3/3 - 2. Let q(a) be the third derivative of d(a). Determine q(-1).
2
Let u(z) be the second derivative of -z**3/2 + z**2 + 4*z - 3. Calculate u(2).
-4
Let x(y) = -10*y - 27. Let p(c) = 7*c + 19. Let u(q) = 7*p(q) + 5*x(q). Determine u(-2).
0
Let l(k) = -k + 1. Suppose 6*g - 3*g = 84. Let d = g + -27. Determine l(d).
0
Suppose -318 = -5*h - h. Let o = h - 62. Let q(d) = d**3 + 9*d**2 + d - 2. Determine q(o).
-11
Let v(j) = -j**3 + 4*j**2 + 3*j + 7. Let b be (1/1)/((-6)/(-30)). What is v(b)?
-3
Let i = -2 + 10. Let j be 1/5*(15 - 5). Let d(g) = 5*g - 4*g - 5 + 1 - j. Determine d(i).
2
Let y(g) = -28*g**2 + 4*g - 11. Let m(z) = 13*z**2 - 2*z + 5. Let i(n) = 13*m(n) + 6*y(n). Let q(a) = a**2 - 6*a + 9. Let d be q(5). Determine i(d).
7
Let n(i) = i**2 - i - 5. Let j(p) = p + 1. Let m(b) = 2*b + 1. Let g be (-4)/(-2) - (5 + -2). Let y(r) = g*m(r) + 3*j(r). Let x be y(-2). Determine n(x).
-5
Let n = 37 + -1. Let s = n - 20. Let b(x) = s - x - 10 - 9. Determine b(-6).
3
Let c be 6*3/12*(10 - 8). Let w(d) = -23*d + 1. Calculate w(c).
-68
Let q(u) = -3*u - 3. Suppose -3*n = 5*n - 24. Determine q(n).
-12
Let i = 4 - -2. Let g(a) be the third derivative of 13*a**2 + 0*a - a**3 + 0 + 1/24*a**4. What is g(i)?
0
Let p(z) = 3. Let l(v) = 6*v**2 - 2*v - 4. Let i(j) = -l(j) - p(j). Calculate i(-1).
-7
Let d(r) be the second derivative of r**6/120 + r**3/6 + 4*r**2 - 14*r. Let k(z) be the first derivative of d(z). Determine k(-1).
0
Suppose -2*w = -5*g + 32, w = 4*w - 12. Let z(j) = g - 15 - j**2 + 8*j - 15*j. Give z(-6).
-1
Let r(n) = -n**2 - n + 8. Let b(i) = 5*i**2 + 14*i - 38. Let q(o) = b(o) + 6*r(o). Determine q(11).
-23
Let x = -2 - -3. Suppose x = -4*k + 17. Let b(p) = p**2 - 4*p + 3. Determine b(k).
3
Let q(v) be the first derivative of -v**3 - v**2/2 + v - 305. Let m = 2 - 1. What is q(m)?
-3
Let i(b) = -b**2 + b + 10. Suppose 20*r + 5*v + 45 = 24*r, 3*v = -5*r + 10. Calculate i(r).
-10
Let j(s) = -s - 3. Let b(f) = f**2 + 9*f - 10. Let x(l) = -b(l) + 7*j(l). Determine x(-13).
28
Let q(i) = 4*i**2 - i - 1. Suppose -j - 2 = 0, 4*r + 2*j - 9 + 5 = 0. Give q(r).
13
Let a(s) = -s**3 - 5*s**2 - 10*s - 6. Let z be -18*(-5)/10 + 1*2. Let v(t) = 3*t**3 + 15*t**2 + 29*t + 18. Let d(q) = z*a(q) + 4*v(q). Calculate d(-4).
-2
Let k be (2/18)/(4/(-12))*-33. Suppose 5 = 3*f + k. Let n(x) = -x**2 - 4*x - 2. What is n(f)?
2
Let m(s) = -10*s**2 - s - 1. Let j(u) = 28*u**2 + 4*u + 3. Let i(d) = -4*j(d) - 11*m(d). Let a(w) = w**2 - w + 1. Let y(t) = -2*a(t) + i(t). What is y(-2)?
-13
Suppose 13 + 20 = -3*v. Let a = 9 + v. Let h be (a - -2)/(6/3). Let t(u) = -u**2 + u - 1. What is t(h)?
-1
Let k(i) = -2*i - 24. Let b = 113 - 126. Give k(b).
2
Let d(m) = -547*m**3 + 7*m + 1094*m**3 - 546*m**3 + 8 + 7*m**2. Let l(h) = h**3 + 2. Let i be l(-2). Give d(i).
2
Let s(o) = -3*o**2 - 4*o + 1. Let l(w) = -4*w**2 - 4*w + 1. Let g(b) = -2*l(b) + 3*s(b). Let q(j) = -j**2 - 20*j + 39. Let x be q(2). Calculate g(x).
-4
Suppose 0 = -2*i + 68 - 20. Let f = i + -24. Let o(u) = u - 14. Calculate o(f).
-14
Let z(n) = -n**2 + 8*n + 503. Let y be z(27). Let x(b) = b**3 + 10*b**2 + 4*b + 40. Calculate x(y).
0
Let m(c) = -c. Let q be m(-2). Let i(k) = 5*k + 11. Let r(w) = -10*w - 19. Let p(h) = | {
"pile_set_name": "DM Mathematics"
} |
-798 - -1255. Is h prime?
True
Suppose 4*b + 2 = 3*r + 3, -5*b + 4*r = 0. Suppose 9 = b*i - 3. Suppose i*f + 3*q - 54 = 0, -43 + 10 = -f - 4*q. Is f prime?
True
Let g be (-2)/10 - (-7557)/(-15). Let o = g + 707. Is o prime?
False
Is 56/(-70) - 39748/(-10) prime?
False
Let m be 4/(-10) + (-2)/(-5). Suppose m = -3*l + x + 371, 7*x = 4*l + 3*x - 500. Is l a composite number?
True
Let v(l) = l**2 - l + 2*l + 89 + 0*l**2. Suppose 10*d - 2*k = 5*d + 8, 0 = -5*d + 3*k + 12. Is v(d) composite?
False
Let h(y) = 68*y**2 - 12*y + 27. Is h(8) a composite number?
False
Let k(d) = -9*d - 3. Let a(o) = 10*o + 4. Let x(j) = 2*a(j) + 3*k(j). Let h(q) = -2*q**2 - q + 2. Let w be h(2). Is x(w) a prime number?
False
Let x(u) = u**3 - 7*u**2 - 8*u + 3. Let c be x(8). Suppose r = c*r - 106. Is r composite?
False
Suppose s + 3959 = 3*i, 5*i + s - 6587 = -3*s. Is i a prime number?
True
Let h(t) = -6 + 2*t + 12 - 1. Let b be h(4). Suppose -b = -2*q + 29. Is q a composite number?
True
Let i = -3 + 1. Let s(y) = -212*y**3 + 2*y**2 - 2*y - 3. Let g be s(i). Suppose 0 = -2*v + 7*v - g. Is v prime?
False
Let p be 0/((-4)/(1 + 1)). Suppose -335 = -f - p*f. Is f prime?
False
Suppose 0*r + 4*r + 804 = 0. Let m = r + 404. Is m composite?
True
Suppose -5*q = -3*q - 3722. Is q composite?
False
Suppose 2*q - 5*l = 550, 4*l + l - 590 = -2*q. Suppose z + 2*z = q. Suppose 3*k - z = 16. Is k prime?
True
Let x = 36 + 122. Is x prime?
False
Let j(i) = -i**3 - i - 23. Let n be j(0). Let q(a) = 2*a**2 + 6*a - 2. Let b be q(5). Let m = n + b. Is m a composite number?
True
Let m(p) = -16*p + 5. Let f be m(-4). Let r = f - -58. Is r a composite number?
False
Let k = 47 - 107. Is 5*(-2 - k) + 3 a composite number?
False
Let z(x) = 2*x**2 + 7*x - 4. Let a = -17 - -11. Is z(a) a prime number?
False
Suppose 0 = -4*a - a. Suppose -4*k = -h - 40, a = -k + h - 8 + 21. Suppose 55 - k = 2*d. Is d a prime number?
True
Suppose n = -4*r + 759, -5*r = 2*n - 373 - 572. Is r composite?
False
Let t be 32 - (-1 + -3 + 1). Suppose 0 = -3*x + 2*x + p + t, x = -5*p + 47. Is x a composite number?
False
Let h = 125 - -788. Is h a prime number?
False
Suppose r - 4*m - 8 = -0, -4*r + m + 2 = 0. Suppose r = g - 4*g - 5*f + 420, 2*f + 586 = 4*g. Is g a prime number?
False
Let q be (638/6)/(3/(-9)). Is 0 + 0 - (q - 2) prime?
False
Let r(d) = 2*d**3 - 8*d**2 - 4*d - 1. Let u be r(6). Suppose 3*s = -2*x + 317, -s + 0*x - 4*x + u = 0. Is s a prime number?
True
Suppose -144 = 4*h - 0*h. Let p = -26 - h. Is p composite?
True
Let d = -170 - -473. Is d composite?
True
Let w(f) = -f**3 - f**2 - 1 + f - 3*f**2 - 2*f + 4*f. Suppose -4*y + 7*y = -18. Is w(y) a prime number?
True
Let j be (2/3)/(1/3). Is (j + -5 - -216) + -2 composite?
False
Let t(y) = 4*y - 9. Let z(o) = o**3 + 6*o**2 + 2*o**3 - 4 - 4*o**3 + 9*o. Let x be z(7). Is t(x) a composite number?
False
Let s(v) = 2*v**3 - 7*v**2 + 8*v - 9. Is s(6) a composite number?
True
Let s = 19 + -37. Let j be 12/s - (-28)/6. Suppose -j*g + 57 = -g. Is g prime?
True
Let l = 1719 + -1012. Is l a composite number?
True
Let j(x) = -4*x - 1. Let r be j(-2). Let t = r + -3. Suppose -5*c + w + 615 = -4*w, 3*w = -t*c + 492. Is c prime?
False
Suppose -3*z - j + 404 = 0, -3*j = z - 0*j - 140. Is z a composite number?
True
Let h = -55 - -320. Is h a composite number?
True
Let o be 0 - -4*(-4 + -1). Let a = 115 + o. Is a a composite number?
True
Suppose 2*g + 4*l = -4, -2*g + 5 = -5*l - 18. Suppose -4*q + g*b = -52, 5*b = -0*b. Is q prime?
True
Suppose -17 = -4*v - m, -5*v + 9*v - 4*m = -8. Suppose -v*q = 2*q - 785. Is q prime?
True
Let a be 213/12 + (-2)/(-8). Suppose -z + 157 - a = 0. Is z a prime number?
True
Suppose -4*b + 6 = 3*g - 18, 4*b - 12 = 0. Suppose 3*k - 5*x = g*k + 134, 2*k = -x - 241. Is (0 - 0)/(-3) - k a composite number?
True
Let r = 242 + -123. Suppose 113 = 4*z - r. Let w = -39 + z. Is w a prime number?
True
Let f = 17 - -19. Suppose j - 19 = f. Is j composite?
True
Let c(v) = 44*v**2 + 3*v - 2. Let y be c(-3). Let a be (-2*3)/((-3)/2). Suppose 0 = -a*q - 9 + y. Is q composite?
True
Suppose 2*r - 24 = -2*r. Let j be 2 + -5 + r/2. Is 21 - -5 - (1 - j) composite?
True
Suppose 2*j - 139 = j. Is j a composite number?
False
Let i(x) = 5*x + 2. Is i(15) a prime number?
False
Let y be (-18)/4 - (-3)/(-6). Let g be 1 + -1 - 5/y. Let b = g - -58. Is b prime?
True
Let w(l) = 47*l - 3. Is w(2) a prime number?
False
Suppose 3*d = 8*d + 15, -2*d = -4*k + 1042. Is k a composite number?
True
Suppose -3*a - 70 = -4*a. Suppose 5*v = q + a, -28 = 3*v - 5*v + q. Is v composite?
True
Let u = 5 - 2. Is -91*2*u/(-6) composite?
True
Let d be -121*2/(2 + 0). Let p = -26 - d. Is p prime?
False
Suppose i - 1938 = -5*i. Is i prime?
False
Let l = 428 + -297. Is l a prime number?
True
Suppose -4*k = 3*q - 2369, -3*q - 3809 + 841 = -5*k. Is k a composite number?
False
Let n = -3 - -6. Suppose 15 = -3*f, -73 = -5*p - n*f + 167. Suppose 3*c - p = 12. Is c a composite number?
True
Is (-8)/(-28) + (-8961)/(-21) a composite number?
True
Suppose g - 3*g - 14 = 0. Let i = 20 - 7. Let y = g + i. Is y a prime number?
False
Let s be 1 + (-3 + 2)*4. Let p = -3 + s. Let k = p + 59. Is k composite?
False
Let b(x) = x**2 + 2*x. Let s be b(-1). Let r(i) = -i - 1. Let w be r(s). Suppose w = 2*j - 4*j + 154. Is j composite?
True
Suppose -m = -5*r - 15, 0 = -4*m + m - 4*r - 12. Let z be 514/(-4)*(2 - m). Let t = -78 - z. Is t a prime number?
True
Let x(u) = -13*u + 12. Is x(-22) composite?
True
Let u = -457 + 644. Is u prime?
False
Let j = 11 + -9. Suppose -k + 174 = j*k. Suppose -x = 4*x - 4*c - k, 4*x = 3*c + 47. Is x prime?
False
Suppose 0 = 5*f - 92 - 843. Is f prime?
False
Let f(r) = -r**3 - 3*r**2 + 4*r + 2. Let s be f(-4). Let y(h) = 6*h + 3*h + 0*h + s + 2*h. Is y(5) a composite number?
True
Let t be (2 + -1)*(1 + -1). Is 148 + (0 - (t - -3)) a prime number?
False
Suppose -4*j = -3*j + x - 30, -j + 46 = 5*x. Let p = j + -16. Let n = p - -9. Is n a prime number?
True
Let n(m) = 50*m - 1. Is n(3) a composite number?
False
Let a = 956 + -105. Is a composite?
True
Let n = -20 + 79. Is n prime?
True
Suppose c + 91 + 699 = 5*b, -5*b + 4*c = -805. Is b prime?
True
Let m(f) be the first derivative of -f**3/3 - 29*f**2/2 - 17*f - 7. Is m(-12) a composite number?
True
Suppose -5*y - 221 = -2*o - 27, 5*y + 188 = -o. Is 2/4*-2 - y prime?
True
Let f be 2 - 5 - (0 + -4528). Suppose -f = -6*o + o. Is o a prime number?
False
Is 3/(-5)*(-54 + -1) prime?
False
Suppose 0 = 6*i - 96 - 870. Is i composite?
True
Suppose -5*i + 1 + 54 = 0. Is i a prime number?
True
Let l(v) = 1465*v**2 - 7*v - 7. Is l(-1) a composite number?
True
Let b(o) = 15*o**2 + o. Let h be b(1). Let m = -30 + h. Is (-326)/(-14) + 4/m prime?
True
Suppose 4*i = 6*b - b + 720, -4*i - 5*b + 720 = 0. Let u(z) = 11*z - 9. Let k be u(6). Suppose -k = -3*l + i. Is l prime?
True
Let v(h) = -25*h - 17. Is v(-4) prime?
True
Suppose 3*o - 5*h = 571, 247 + 319 = 3*o - 4*h. Let j = o - 51. Is j prime?
True
Is (1396 + 9)*(-2)/10*-3 prime?
False
Is (66/(-18))/((-1)/381) prime?
False
Let y = 2151 + -1264. Is y prime?
True
Suppose -25 = -q - s - s, 3*s - 97 = -5*q. Suppose q = -5*p - 8. Let x(j) = j**3 + 8*j**2 + 3*j - 1. Is x(p) a composite number?
False
Let z(y) = -32*y**3 - y**2 - 2*y + 1. Is z(-2) a prime number?
True
Let s = 7 - 7. Suppose s = 3*j + m + 5, 4*j + m + 2*m = 0. Is 93 + -3 + j - 2 prime?
False
Is (401 - (-2 - -6))*1 prime?
True
Let l be -4 + 6 - (1 - -9). Let x = 77 - l. Suppose -m - 2*f + x = 2*f, f + 1 = 0. Is m a prime number?
True
Is (-175824)/(-45) - ((-3)/(-15) + 0) composite?
False
Let g(t) = -t + 6. Let j be g(0). Let w(z) = 5*z + 3. Let m be w(j). Suppose 0*s = -3*s + m. Is s a composite number?
False
Let v = -482 - -747. Let y = v + -119. Is y a prime number?
False
Let n = -46 + 137. Is n composite?
True
Let u = 15 + -8. Is u a prime number?
True
Let q(b) = 6*b**3 - 4*b**2 + 2*b + 2. Is q(3) a composite number?
True
Let y(a) = -a**3 + 3*a**2 - 4*a + 1. Is y(-5) composite?
True
Let o = -2 - -6. Let h = 355 + -244. Suppose j - o*j = -h. Is j composite?
False
Let r(z) = -25*z**2 - 3*z. Let k be r(-2). Is (k/(-3))/((-10)/(-15)) composite?
False
Suppose 0 = -3*b + 5*t + 12, 0 = t - 3*t. Let r(d) = 23*d - b - 1 - 1 + 4. Is r(5) prime?
True
Suppose 16 | {
"pile_set_name": "DM Mathematics"
} |
4*i, 0 = -4*t + 5*i + 174. What is the remainder when 217 is divided by -21 + t + (1 - 4)?
19
Let f = 5006 + -4859. Calculate the remainder when 890 is divided by f.
8
Suppose 1 - 11 = -5*j. Suppose 80 = 5*w - 3*v, -5*v = -j*w - 3*w + 80. Calculate the remainder when (455/(-10))/7*(0 - 14) is divided by w.
11
Let u be 5/(0 + 5)*85. Suppose -m + u = -70. What is the remainder when m is divided by 16?
11
Let h(j) = -223*j**2 + 687*j**2 - 228*j**2 + 16*j - 232*j**2 - j**3 - 32. Let c = 91 + -56. Calculate the remainder when c is divided by h(2).
3
Suppose -4 = 2*g, 15 = -10*j + 11*j - g. Let k = -8 + 8. Suppose k*m - 46 = -2*m. What is the remainder when m is divided by j?
10
Let w(j) = -j - 6. Let y be w(-4). Calculate the remainder when -3 + 70/(4 - (-4)/y) is divided by 12.
8
Suppose -9*u - 35 = -4*u - 4*g, -g = 0. Let l be (-12)/u + 16/56. Suppose -k = -2*k - 3, -k = -l*a + 37. What is the remainder when 33 is divided by a?
16
Calculate the remainder when 257 is divided by (-3224)/(-72) - ((-20)/9 + 2).
32
Let b be (1 - 14/2)/(6/(-656)). Suppose -87*l + b = -83*l. Let c(o) = -6*o + 3. What is the remainder when l is divided by c(-5)?
32
Suppose -8*g = -r - 18 - 47, 5*g - 36 = -4*r. Calculate the remainder when 42 is divided by g.
2
Suppose 20*k + 240 = 960. Suppose -12*y + 45 = -7*y. Let u(p) = p + 4. Calculate the remainder when k is divided by u(y).
10
Let h = 3 - 1. Let x be (10 + -9)/(h/(-8)). Calculate the remainder when 2290/110 - x/22 is divided by 8.
5
Let c be (767*(3 + -2))/(-1). Let k = c + 800. Calculate the remainder when 296 is divided by k.
32
Let g(c) = 2*c**2 - 309*c - 9968. Calculate the remainder when 680 is divided by g(-29).
5
Let t(n) = -2*n + 8. Let d be (-2)/(-6) - 11/(-3). Let g be t(d). Suppose -2*l + 23 + 31 = g. What is the remainder when l is divided by 7?
6
Suppose -9*l - l = 100. Suppose -3*z - z + 332 = 0. What is the remainder when z is divided by l/10*-21 + 1 + -1?
20
Suppose -28*w - 8927 + 13967 = 0. What is the remainder when 680 is divided by w?
140
Suppose -26 - 16 = -7*l. Let r(o) = -26*o + l*o + 12*o + 35 + 7*o. What is the remainder when r(26) is divided by 4?
1
Let r = -6291 + 7945. Calculate the remainder when r is divided by 36.
34
Let d(u) = -4*u**2 - 3*u - 4. Let f(k) = -1. Let p(m) = -d(m) - 4*f(m). Calculate the remainder when 84 is divided by p(-3).
14
Suppose -12*d + 3910 = 22*d. Suppose -d*k + 119*k = 1752. What is the remainder when k is divided by 44?
42
Let u(w) = 112*w - 134. Calculate the remainder when u(5) is divided by 107.
105
Suppose 97*o - 5402 = 709. What is the remainder when 372 is divided by o?
57
Let t(b) = 60*b**3 + 2*b**2 + b. Let z be t(-1). Let l = z + -10. Let j = -24 - l. What is the remainder when j is divided by 24?
21
Let z be (2 - 9/3)*-17. Suppose 15*k - z*k + 28 = 0. What is the remainder when 124 is divided by k?
12
Let b(u) = -u**3 + 16*u**2 + 18*u + 25. Let s be ((-4)/(-12))/(5/765). Suppose -s = 28*r - 31*r. What is the remainder when b(r) is divided by 16?
10
Suppose -g - 6*w + w = -31, 3*g - 5*w = -7. Let v be (-561)/(-44)*(-32)/g. Let d = v + 79. What is the remainder when 63 is divided by d?
8
Suppose 4*b + 58 = 334. Suppose 0 = -16*v + 176 + 1696. Let x = b + v. What is the remainder when x is divided by 21?
18
Let x(d) = -d**2 - 28*d + 27. Let y be x(-29). Let w(k) = 3*k**2 - 12*k - 21. Calculate the remainder when 69 is divided by w(y).
9
What is the remainder when (-5 + (-52)/(-13))*(-2481 - (-4 - -4)) is divided by 64?
49
Let v(h) = 7*h - 30. What is the remainder when v(15) is divided by 31 + 0 + (70 - 75)?
23
Suppose n - 80 = -11. Let z = 74 - n. Suppose -r - 3*w - 3 = -16, z = -3*r + 2*w. What is the remainder when 3 is divided by r?
0
Suppose v + 7 = -4*y, v - 5 = -4*v. What is the remainder when 207 is divided by (y - 0)*(3 - 2 - 16)?
27
Let d(s) be the first derivative of s**3/3 - s**2 - 2*s - 1. Let c = 9422 - 9415. Calculate the remainder when d(-7) is divided by c.
5
Let d = 10375 - 10166. Calculate the remainder when 781 is divided by d.
154
Suppose 189 = -3*a - 69. Let u = 92 + a. Calculate the remainder when (6 - (-114)/(-18)) + 176/u is divided by 8.
5
Let i = -3 - 38. Let n = 46 + i. Suppose 148 = n*x - z, 0 = 5*x - 0*z - 5*z - 160. What is the remainder when 115 is divided by x?
28
Suppose -3*t - 95 = -3*v - 17, -4*v - 3*t + 118 = 0. Let k = v + -23. Let z(x) = -x**2 - 5*x + 16. What is the remainder when k is divided by z(-7)?
1
Let p(x) = -x + 19. Suppose -10 - 2 = -3*v. Suppose 7 = 4*a + v*g - 1, 0 = -3*g + 6. What is the remainder when 93 is divided by p(a)?
17
Let w(s) = -22*s - 1628. What is the remainder when 432 is divided by w(-80)?
36
Suppose -265 = 10*o - 655. Calculate the remainder when 1360 is divided by o.
34
Suppose -2*x - 186 = -3*n - 0*x, -x - 3 = 0. Suppose 6*r + 756 = 3*r. Calculate the remainder when n is divided by (r/(-35) + 1/(-5))*3.
18
Suppose 5*a + 2*d = 8*a - 499, -2*d + 670 = 4*a. What is the remainder when 674 is divided by a?
6
Let w = -20 + 34. Suppose 0 = w*o - 16*o. Suppose o = s + 3*s - 112. What is the remainder when 110 is divided by s?
26
Let y be (6 - 1704/(-18))*(0 + 54). Suppose 12*s - 4332 = y. Calculate the remainder when s is divided by 51.
49
Suppose -4*b = b - 795. Let c(x) = 2*x**3 + 60*x**2 + 8*x + 263. Calculate the remainder when b is divided by c(-30).
21
Let y = -4354 - -4649. What is the remainder when y is divided by 33?
31
What is the remainder when 326 is divided by (-588)/((-14)/(-2))*12/(-18)?
46
Let k be 86/(4/3*(-7)/(-14)). Let z = k + -117. What is the remainder when 25 is divided by z?
1
Suppose 0*i + 14 = -2*i. Let r(y) = y**2 + 7*y + 16. Let v(z) = 13*z - 251. What is the remainder when v(24) is divided by r(i)?
13
Let p be 1/4 - (627/12)/(-11). Calculate the remainder when -5 + (97 - (-5 + p)) is divided by 20.
12
Suppose 3*o + 15 = 75. Suppose 22*d = 16*d + 48. Calculate the remainder when ((-785)/10)/((-4)/d) is divided by o.
17
Let s = -191 + 348. Let k = -113 + s. What is the remainder when 481 is divided by k?
41
Suppose 430*d - 81843 = -541 + 85538. What is the remainder when 1221 is divided by d?
57
Suppose 434 = 10*c + 2*j, 3*c - 76 - 47 = 3*j. Let u be -10*1*1/(-2). Suppose -51 = -u*l + 4*d, -4 + 0 = -4*d. What is the remainder when c is divided by l?
10
Let k = -2370 - -4136. What is the remainder when k is divided by 29?
26
Suppose -2*j - 8 = 0, 49*j + 169 = c + 44*j. Calculate the remainder when c is divided by 19.
16
Let x = -2 + 87. Let o(l) be the second derivative of l**5/20 - l**4/12 + 15*l**2 + 26*l. Calculate the remainder when x is divided by o(0).
25
Suppose -228*s = -222*s - 90. Calculate the remainder when 1364 is divided by s.
14
Suppose -32*i + 68782 = -23506. Calculate the remainder when i is divided by 480.
4
Suppose s = 3*k + 1022, s + 28*k - 1028 = 29*k. Calculate the remainder when s is divided by 74.
69
Let h(w) = -2*w - 1. Let b be h(24). Let s = b - -75. Calculate the remainder when 43 is divided by s.
17
Suppose 5*b + 5*m = 1995, -39*b + 42*b - 4*m - 1211 = 0. Calculate the remainder when b is divided by 14.
9
Calculate the remainder when (-7 - (-4)/(-1 + 5))*(-123)/6 is divided by 64.
59
Let q(r) = r - 11. Let v be q(13). Suppose -10 = -4*g - v. Suppose x - 57 = m - 3*m, g*x - 123 = 5*m. What is the remainder when x is divided by 31?
28
Let j(d) = 6*d**3 - d**2 + d - 26. Let y(q) = -5*q**3 + 3*q**2 - q + 26. Let w(g) = 4*j(g) + 5*y(g). What is the remainder when 41 is divided by w(11)?
11
Let g = -4 - -22. Suppose 17 = -g*n + 89. Suppose 2*x - 74 = 3*i, x + n*x + 2*i = 147. Calculate the remainder when 59 is divided by x.
28
Let o(r) = -r**2 + 2*r + 82. What is the remainder when 558 is divided by o(-6)?
14
Let o = 34 + -32. Suppose 49 = 3*v - o*f, -34 = -5*v - 3*f + 16. Suppose 5*c + 0*c = 15. What is the remainder when v is divided by c?
1
Let p(c) = c**2 - 21*c - 22. Let a be p(22). Let r = 13 - a. What is the remainder when 28 - (-2 + -2 - -8) is divided by r?
11
Suppose 8*v = 4*k - 476, 476 = 4*k - 23*v + 27*v. Calculate the remainder when k is divided by 354/15 - 8/(-20).
23
Let n(w) = -2*w**2 + 71. Let r(g) = 4*g + 17. Let h be r(-4). Let s(z) = -z**2. Let l(y) = h*n(y) - s(y). Calculate the remainder when l(0) is divided by 38 | {
"pile_set_name": "DM Mathematics"
} |
Let j(g) = 15*g - 5. Let c(n) = -3*j(n) - 2*s(n). Find the first derivative of c(o) wrt o.
-17
Let l(c) be the first derivative of -38*c**3/3 - 35*c + 31. Find the first derivative of l(w) wrt w.
-76*w
Let w(b) = 5*b**2 + 7*b - 5. Let f(i) = i**4 - i**2 + 1. Let x(u) = 5*f(u) + w(u). Find the second derivative of x(c) wrt c.
60*c**2
Let h(l) = -73*l**2 + 37*l - 9. Let z(b) = -36*b**2 + 18*b - 4. Let k(r) = 4*h(r) - 9*z(r). What is the second derivative of k(o) wrt o?
64
Let p = -3 - -6. Differentiate -2*i**3 - 2*i**p + 4*i**3 + 2 - 3*i**3 with respect to i.
-9*i**2
Differentiate -9 + 0 - 3 - 8*m**2 wrt m.
-16*m
Let a(m) be the second derivative of -10*m**7/7 + 11*m**4/12 + 2*m**2 - 16*m. Find the third derivative of a(r) wrt r.
-3600*r**2
Find the second derivative of -5*h**5 + 14*h**4 - 14*h**4 + 6*h - 7*h**5 wrt h.
-240*h**3
Let s(i) be the third derivative of -i**4/24 - i**3/3 - 8*i**2. Differentiate s(c) wrt c.
-1
Let f be (-8)/(-12)*(-5 + -1). Let p = f - -7. What is the derivative of 3 + c**2 - 3*c**2 + p*c**2 - 3*c**2 wrt c?
-4*c
Let f = 9 - 5. Find the third derivative of x**f - x**2 + 2*x**2 - 2*x**2 - 2*x**4 wrt x.
-24*x
Suppose -6*z - 5*v = -2*z + 17, 0 = 5*z + v - 5. What is the second derivative of -3 + 0*u**2 + 3 - 6*u**z - 7*u wrt u?
-12
Let w(s) be the first derivative of -2*s**6/3 - 10*s**3/3 - 12. What is the third derivative of w(u) wrt u?
-240*u**2
Let a = 4 + -10. Let n be (-2 - a - -2) + -2. What is the first derivative of -1 + m**n + 6*m - 6*m wrt m?
4*m**3
Let a be -4*(-12)/8 - 2. Find the second derivative of 1 - 7*i**a - 2*i - 1 + i**4 wrt i.
-72*i**2
What is the second derivative of 0*n - n**4 + 0*n - 3*n wrt n?
-12*n**2
Let d(l) = l**3 + l**2 + l. Let z(f) = -10*f**3 - 3*f**2 - 5*f. Let p(k) = -5*d(k) - z(k). What is the third derivative of p(w) wrt w?
30
Let b(m) = -m**2 + 6*m + 3. Let a be 2/(-7) + 92/28. Let g(l) = 1 + a + 7*l + 0 - 2*l**2. Let i(d) = -4*b(d) + 3*g(d). Find the second derivative of i(k) wrt k.
-4
Suppose 5 = 2*m - 3*m. Let i = -3 - m. Find the third derivative of -2*h**6 + 19*h**i - 16*h**2 - h**6 wrt h.
-360*h**3
Let r(s) = -41*s**3 - 10*s**2 + 3*s + 3. Let j(l) = l + 1. Let u(m) = 3*j(m) - r(m). What is the third derivative of u(p) wrt p?
246
Let t(y) = -y**4 + y**3 + y**2 + y - 1. Let z(n) = -7*n**4 - 2*n**3 - 2*n**2 - 2*n - 20. Let q(p) = 2*t(p) + z(p). Differentiate q(x) wrt x.
-36*x**3
Let v(y) = y**2 + 7*y + 5. Let c be v(-7). Suppose 0 = 2*w + 4, c*l - 3*w - 73 = 63. What is the second derivative of -l - 2*t**4 + 26 - 3*t wrt t?
-24*t**2
Suppose 27 = 5*f - 2*f. Let u = -3 + f. Find the third derivative of -2*i**5 - 4*i**2 + 0*i**5 + u*i**2 wrt i.
-120*i**2
Let a(i) = -i - 4. Let n(m) = -6*m - 21. Let z(j) = 11*a(j) - 2*n(j). Let c be z(4). What is the second derivative of 2*q**5 + q + 5*q**2 - 5*q**c wrt q?
40*q**3
Let o(s) be the first derivative of -18*s**7/7 + 11*s**3/3 + 17. Find the third derivative of o(z) wrt z.
-2160*z**3
Let h(c) be the first derivative of 3*c**4 + c**2/2 + 11. What is the second derivative of h(m) wrt m?
72*m
Let i(w) = 6*w**2 + 3*w - 3. Let k(g) be the third derivative of g**5/60 - g**3/6 + 3*g**2. Let d(b) = i(b) - 3*k(b). Find the second derivative of d(j) wrt j.
6
What is the third derivative of 83*y**2 + 3*y**3 - 3*y**3 + 5*y**6 - 74*y**2 wrt y?
600*y**3
Let x(k) = 9*k**4 + 3*k**2 + 7*k + 3. Let i(r) = 10*r**4 + 4*r**2 + 8*r + 4. Let m(o) = -3*i(o) + 4*x(o). What is the second derivative of m(h) wrt h?
72*h**2
Let w(u) = u**3 - 9*u**2 + 7*u + 10. Let h be w(8). Find the third derivative of -3*k**2 + k**5 - 4*k**2 - h*k**5 wrt k.
-60*k**2
Suppose -3*a + 4*a = 6. Find the first derivative of -3*w**2 + a + 5*w**2 + 6 - 6 wrt w.
4*w
Differentiate 0*l + 0*l + 43*l**3 + 36 wrt l.
129*l**2
Let c(b) be the third derivative of b**7/70 - b**4/6 + 6*b**2. Find the second derivative of c(z) wrt z.
36*z**2
Suppose -2 = -4*x + 3*x - 2*k, 4*x - 4*k = 8. What is the derivative of 4 - x*t + 2*t + t - 2*t wrt t?
-1
Let y(j) = 16*j**4 + 8*j**2 + 24. Let v(b) = b**4 - b**2 + 1. Let a(n) = 8*v(n) + y(n). What is the first derivative of a(d) wrt d?
96*d**3
Let r = -35 - -35. Let i(f) be the third derivative of r*f + 0 + 1/2*f**3 + 1/12*f**4 + 3*f**2. Differentiate i(n) with respect to n.
2
Find the second derivative of 3*l + 15*l**5 + 10*l - 19*l**5 - 27*l**5 wrt l.
-620*l**3
Let k(j) = j + 2. Let a be k(3). Find the third derivative of -71*r**4 - 4*r**a + 2*r**2 + 71*r**4 wrt r.
-240*r**2
Let p(s) = s - 10. Let k(q) = -11. Let j(d) = 2*k(d) - 3*p(d). Differentiate j(t) wrt t.
-3
What is the second derivative of -51*g**4 + 51*g**4 + 24*g - 43*g**4 - 73*g wrt g?
-516*g**2
Let w(a) be the first derivative of -22*a**2 + 48*a - 31. Differentiate w(d) with respect to d.
-44
Find the third derivative of v**4 + 8*v**5 - 4*v**5 - 17*v - 6*v**2 + 8*v**2 + 0*v**2 wrt v.
240*v**2 + 24*v
Let y(s) = 4*s**3 - 2*s**2 + 6. Let f(z) = 2 - 3*z**2 + 2*z**2 - 2 + 1. Let m(x) = -2*f(x) + y(x). What is the first derivative of m(q) wrt q?
12*q**2
Let r(c) = 6*c**3 - 5*c**2 - 8. Let k(y) = 3*y**3 - 3*y**2 - 4. Let w be 2*4/(-8)*3. Let a(g) = w*r(g) + 5*k(g). Differentiate a(p) wrt p.
-9*p**2
Let i(k) = -46*k**4 + 3*k + 44. Let m(a) = -47*a**4 + 2*a + 45. Let u(j) = -2*i(j) + 3*m(j). Differentiate u(z) wrt z.
-196*z**3
Let k = 5 + -4. Let x be ((-10)/(-4))/(k/2). Find the second derivative of x*q**3 - q**4 + 2*q - 5*q**3 wrt q.
-12*q**2
Let s = -5 - -7. What is the third derivative of -q**6 - q**s - 2*q**2 - 3*q**6 wrt q?
-480*q**3
Let j(y) = -4*y**2 - 5*y + 6. Let l be (-1)/3 - 38/3. Let c(q) = -9*q**2 - 11*q + 13. Let u(o) = l*j(o) + 6*c(o). What is the second derivative of u(s) wrt s?
-4
Differentiate -9 + 5*n + 2 + 0*n + 3*n wrt n.
8
Let n be (-14 + 0)*5/(-10). Suppose -t = q - n, -2*q - 1 = -2*t + 1. Differentiate 2 + 2 + 2*z**q - 3 wrt z.
6*z**2
Let x(h) be the first derivative of -9*h**4/4 - 13*h**2/2 + 1. What is the second derivative of x(o) wrt o?
-54*o
What is the third derivative of -11*s**6 - 24*s**6 - 19*s**2 - s**6 wrt s?
-4320*s**3
Let j(y) = -y**3 + 6*y**2 - 3*y - 5. Let u be j(5). Suppose 0 = -4*d, u*l - l - 12 = -d. Find the third derivative of 2*n**l - 1 - 4*n**3 - n**2 + 1 wrt n.
-12
Let m be (-4)/2 - 12/(-3). Differentiate 3*u**2 + 0 - 5 + m - 1 wrt u.
6*u
Let z(b) be the first derivative of -3*b**4/2 - 10*b - 12. What is the derivative of z(c) wrt c?
-18*c**2
Let g(h) = -h**5 + h**3 + h + 1. Let z(d) = 4*d**5 - 12*d**3 + 12*d**2 - 12*d - 12. Let u(j) = -12*g(j) - z(j). What is the third derivative of u(r) wrt r?
480*r**2
Let i(g) be the third derivative of -8*g**7/105 - 5*g**4/12 - 3*g**2. What is the second derivative of i(b) wrt b?
-192*b**2
Find the third derivative of 5*u**5 + 0*u**6 - 12*u**2 + 5*u**6 - 5*u**5 wrt u.
600*u**3
Let s(h) be the third derivative of 1/105*h**7 + 0 + 3/2*h**3 + 0*h**6 + 0*h**4 + 10*h**2 + 0*h**5 + 0*h. Differentiate s(v) with respect to v.
8*v**3
What is the second derivative of 19*g**5 + 19*g**5 - 5*g**5 + 12*g wrt g?
660*g**3
Differentiate 10 - 5*z**4 + 3*z**4 + 0*z**4 + z**4 with respect to z.
-4*z**3
What is the first derivative of 110*j**2 - 210*j**2 + 44 + 131*j**2 wrt j?
62*j
Let z(w) be the third derivative of w**6/60 + w**4/12 + 7*w**2. Find the second derivative of z(l) wrt l.
12*l
Find the second derivative of 3*i + 0*i**5 - 4*i - 4*i**5 - 3*i**5 wrt i.
-140*i**3
Let f(o) = o**2 + 1. Let l(q) = -6*q**2 - 3. Let a(w) = -12*f(w) - l(w). Differentiate a(g) wrt g.
-12*g
Let w(b) = -b**3 + 4*b**2 - b + 2. Let y be w(4). Let q be y + (-2 - -1) - -6. Find the third derivative of s**5 + 2*s**5 - 3*s**5 + q*s**5 - s**2 wrt s.
180*s**2
What is the third derivative of 6*c**4 - 10*c**4 + c**2 - 9*c**2 wrt c?
-96*c
Let n(p) be the second derivative of 5*p**3/3 - p**2 - 11*p. Differentiate n(t) with respect to t.
10
Find the first derivative of 7 - 10 + 2*l**3 - l**3 wrt l.
3*l**2
Let y(f) = 3*f**2 - 1. Let t be y(-1). What is the third derivative of 2*d**5 - 4*d**t - 4*d**5 + 3*d**2 wrt d?
-120*d**2
Let a(n) be the first derivative of n**7/105 - n**3/2 + 3*n**2/2 + 1. Let q(i) be the second derivative of a(i). Find the first derivative of q(x) wrt x.
8*x**3
Let f(a) = 3*a**3 - 2*a**2 + 2. Let r(d) = d**3 - d**2. Let o(b) = f(b) - 2*r(b). What is | {
"pile_set_name": "DM Mathematics"
} |
d h.
18
Let w = -18 - -29. What is the common denominator of (-64)/(-128)*(95/w)/(-1) and ((-4)/10)/((-36)/(-695))?
198
Let p = 31 + -14. Suppose o - 15 = -2*o, f = 5*o - p. Calculate the common denominator of -9/8 and ((-3)/(-35))/(f/300).
56
Suppose 5*k = 4*g + 180, k - 5*g - 72 = -k. Let p(x) = -x**2 - 10*x - 9. Let z be p(-7). What is the smallest common multiple of (4/z)/(1/k) and 12?
12
Suppose 3*f - 3 = -24. Let q be 3/(0 + 3) + -4. Find the common denominator of q - ((-490)/(-4))/f and 58/9.
18
Calculate the smallest common multiple of 47/3 - (4 - (-40)/(-12)) and 201.
1005
Calculate the lowest common multiple of 77 and 8 - (-61 - (12 - 4)).
77
Suppose -x + 2*s + 1 = 0, s = -2*x + 3*s + 12. What is the lowest common multiple of 3/(-5) + 3/5 - -7 and x?
77
What is the common denominator of 63/22 and (-7 - 175/(-28))*(-62)/(-15)?
110
Let y = 14 + -8. Suppose y*z = 5*z - 1. What is the common denominator of 151/6 and -1 + 182/(-20) + z?
30
Suppose 2*l + 6 = 4*l. Suppose 11*s - 8*s - 99 = 0. Suppose 9*u - 12*u = -s. What is the least common multiple of l and u?
33
Let i(n) = -n**3 - 16*n**2 + 31*n - 27. Calculate the lowest common multiple of 63 and i(-18).
63
Let g = 11 + -6. Suppose 4*t = g*m + 65, -3*m + 55 = 3*t - 8*m. Let i(f) = -f**2 + 7*f - 4. What is the smallest common multiple of i(5) and t?
30
Let u = -286 + 3150/11. Let t = -1068 + 5278/5. Calculate the common denominator of u and t.
55
Suppose 6*c - 3*t - 99 = 4*c, -3*c + 149 = -5*t. Calculate the lowest common multiple of 32 and c.
96
Find the common denominator of 94/304 - (-5)/(-10) and 83/10.
760
Suppose -5*n - h - 100 = 4*h, 2*h - 93 = 5*n. Let m = n + 31. What is the smallest common multiple of m and ((-24)/(-10) + 0)/(42/140)?
24
What is the common denominator of 56/126 + 73/(-342) and -46/9?
342
Let o be 3 - ((-12)/3 - -4). Suppose 3*g = 2*z + 106, -12 = -o*z - 0*z. Calculate the smallest common multiple of g and 12.
228
Let r = -3 - -5. Let n = 709 + -705. Calculate the lowest common multiple of n and r.
4
Suppose -3*f = -7*f + 8. Suppose -f*w = w - 42. What is the smallest common multiple of w and 12?
84
Let g(l) = -2*l**2 + 41*l - 47. Calculate the smallest common multiple of 3 and g(16).
291
Let c(p) = p**2 + 2*p + 7. Suppose 2 = -2*o - 4. What is the smallest common multiple of 56 and c(o)?
280
Let d be (-2)/5*5*(-3 - -2). What is the common denominator of ((-4)/(-180))/(d/115) and 107/10?
90
Let c(t) = -2*t - 3. Let n be c(-3). Suppose -2*g - 57 - 9 = -n*i, g + 43 = 4*i. Let v = 7 - g. What is the smallest common multiple of v and 20?
340
Let p(f) = f**3 + 9*f**2 + f - 16. What is the least common multiple of p(-8) and 5?
40
Suppose 23*p - 22*p - 25 = 0. Calculate the lowest common multiple of p and 55.
275
Suppose -5*r + 13519 = -3*c, 5*r + 3548 = c + 17061. Let j = 1178 - r. Let m = -13756/9 - j. What is the common denominator of -13/8 and m?
72
Suppose -1188 = -334*g + 323*g. Calculate the smallest common multiple of 18 and g.
108
Let i = -2/367 + 10679/6606. What is the common denominator of i and 31/4?
36
Let r = -2/46120427 - 6390953689789/645685978. Let z = r - -9903. Calculate the common denominator of 87/20 and z.
140
Calculate the common denominator of 115/108 and (2 - 9) + 15/(-42).
756
Calculate the lowest common multiple of 4 - (4 - 6 - (1 + -1)) and 16.
48
Let g = 2948 + -548. Let m = g + -9649/4. What is the common denominator of -87/22 and m?
44
Let j = -1399/3 + 487. What is the common denominator of -23/8 and j?
24
Let y(g) be the first derivative of g**4/4 - 7*g**3/3 - 9*g**2/2 + 10*g + 1. What is the lowest common multiple of y(8) and 17?
34
Let f = -13/227 + -6401/3178. Find the common denominator of (-2)/((-588)/(-35))*-3*18 and f.
14
Let v = -16331/456 + 610/19. What is the common denominator of 87/20 and v?
120
Let y be (-6)/(-8) - (-21)/112*-4. Calculate the lowest common multiple of 3 and (y + 1)/((-12)/(-84)).
21
Let r(o) = o**3 + 7*o**2 + 6*o + 2. Let i = -161 + 191. What is the lowest common multiple of r(-5) and i?
330
What is the common denominator of 16/(-4) + (-3)/(-54)*137 and (-14)/104*21 - (-9)/36?
234
Suppose 5*z = -2*m + 90, -7*m + 3*m = 5*z - 100. What is the lowest common multiple of z and 40?
80
Let w = -2/863 + -31911/8630. Calculate the common denominator of w and 2 - ((-669)/(-744) - -2) - (-27)/72.
620
Suppose 4*j = -2*r + 38, 4*j + 2*r - 36 = -2*r. What is the lowest common multiple of 9 and j?
90
What is the common denominator of -145/24 and (52*(-3)/(-192))/(3/(-10))?
24
Let l = -1 + -2. Calculate the common denominator of 10/6 + (-2497)/(-66) and (-236)/12*l/(-7).
14
Let k = -1336 + 26709/20. Calculate the common denominator of (-215)/(-210) - 2/7 and k.
420
Suppose -4*n - 372 = -5*j, 0 = -0*j + 2*j + 3*n - 135. Suppose -2*w + z = -3*z - 30, 4*w = -4*z + j. Calculate the smallest common multiple of w and 8.
136
Calculate the least common multiple of (-4 + 78/15)*15 and 10.
90
Let h(i) = -46*i + 339. What is the lowest common multiple of h(6) and 6?
126
Suppose -7 = -j + 9. Let k = 19621 - 19549. What is the smallest common multiple of j and k?
144
Let b = 860 - 858. What is the least common multiple of b and 8?
8
Let f = 47 - 27. Suppose l - 10 + 3 = -2*i, l = 4*i - 29. What is the lowest common multiple of f and i?
60
Let d be (5 - 0)/(0 + 1). Suppose -67 = -d*w - 2. Calculate the least common multiple of w and 2.
26
Suppose -4*h = -3*p - 732, -3*h - 3*p = 2*p - 520. Let z = -13 - -28. Calculate the common denominator of -73/2 and (-3534)/h - (-2)/z.
2
Suppose g + 12 = -11. Calculate the common denominator of g/69*(0 + 2/(-13)) and 83/4.
156
Let s be (62/4)/(21/42). Suppose -5 = -6*u + s. What is the least common multiple of u and 9?
18
Let a(v) = -5*v + 4. Let u be a(-5). Let l = 33 - u. What is the smallest common multiple of 22 and l?
44
What is the lowest common multiple of 8 and 17 + (-2 - 5) + 1?
88
Let f = 8609 + -309959/36. Find the common denominator of f and -173/60.
180
Suppose 2 = 2*n - 6. Calculate the common denominator of 335/(-60) - n/6 and 188/64 - ((-45)/20)/9.
16
Let v be (-59600)/29804 - (-4)/6*3. Let d = 350213/59608 - v. What is the common denominator of d and 91/4?
8
Let m = -26 + 30. Suppose a + 466 = -4*g, 2*g + 458 = -m*a + 3*a. What is the common denominator of -3/2 and (-2245)/a + 6/15?
18
Let t be (-30)/165 - (-1588)/22. Let k be (-488)/t + (-4)/18. Calculate the smallest common multiple of (3 + k)*1/(-4) and 6.
6
Suppose -190*d + 215*d = 1800. Calculate the least common multiple of d and 288.
288
Let t be (-6)/(-9)*(-174)/(-4). Suppose -6 - t = 5*s. Let l = s - -19. What is the smallest common multiple of 12 and l?
12
Let p(s) be the third derivative of s**5/12 - 2*s**3/3 - 20*s**2. What is the least common multiple of 14 and p(2)?
112
Let w(d) = 3*d**2 + 5*d - 4. Calculate the least common multiple of w(-4) and 8 - 5 - (-2 + 0)/2.
24
Let x = -27 + 34. Suppose 0 = x*v + 13 - 55. Calculate the least common multiple of v and 6.
6
What is the lowest common multiple of (1/4 + 182/8)/((-16)/(-16)) and -1 + -1 + (6 - 0)?
92
Suppose -5*m = -4*c + 148, 5*c + 5*m - 44 = 3*c. Let o = -25 + c. What is the lowest common multiple of o and 4?
28
Let i = -205 - -211. Calculate the least common multiple of i and 111.
222
Suppose 85 + 11 = 12*d. What is the lowest common multiple of 8 and d?
8
Suppose -3*t - 3989 + 4097 = 0. What is the smallest common multiple of 144 and t?
144
Let n(q) = q**3 - 8*q**2 + 8*q + 1. Suppose -10*v - 1395 = -1615. Calculate the smallest common multiple of v and n(7).
88
Let v(m) = -m**2 + 7*m - 7. Let k be v(7). Find the common denominator of (-2)/k - 1870/175 and -30/11.
55
Let h be (-1 + -1 + 2)/(-2). Let s be ((-6)/(-15) - h)*5. Suppose 2*v + 32 = 4*l, s*l + 0*l - 5*v - 16 = 0. What is the lowest common multiple of 2 and l?
8
Suppose 5*f = r - 21, -27 = -2*r - 2*f - 3*f. Let w = 93 + -77. What is the smallest common multiple of w and r?
16
Suppose -9 = -32*y + 29*y. Suppose -3*h - 2*k = 2*k - y, 4*h + k - 4 = 0. What is the smallest common multiple of 2/3 + (-96)/(-18) and h?
6
Suppose 0 = o + 3 - 7. Calculate the lowest common multiple of 1 - (o*(-3 + -8) - 3) and 12.
48
Let z = -46 - -22. Let m = -29 + 19. Let c = m - z. What is the smallest common multiple of 8 | {
"pile_set_name": "DM Mathematics"
} |
ing order.
-241, -2, 0, 1, 3, 5, 35
Sort 0.06, -0.5, -0.3, 32889/22, 1 in descending order.
32889/22, 1, 0.06, -0.3, -0.5
Sort 3, 15/58, 0.0007.
0.0007, 15/58, 3
Put -1, 7, -5, 3070, -6 in ascending order.
-6, -5, -1, 7, 3070
Sort 78577, 3, 83, 0 in decreasing order.
78577, 83, 3, 0
Put -205207, -1/6, 0.4, -2, -1/11 in increasing order.
-205207, -2, -1/6, -1/11, 0.4
Sort -19, 27, -1123, 33 in descending order.
33, 27, -19, -1123
Sort -669.23, 91, -0.4.
-669.23, -0.4, 91
Sort -154, -900, 2.
-900, -154, 2
Put -2/11, 29, 17, -1427, -5, 0.2 in decreasing order.
29, 17, 0.2, -2/11, -5, -1427
Put -58, 22, 5, -15 in descending order.
22, 5, -15, -58
Put 4, 6, 321, 1615 in descending order.
1615, 321, 6, 4
Put -6, -2, -133, -18, 2, 4, -17 in increasing order.
-133, -18, -17, -6, -2, 2, 4
Sort -15, -1, 25, 6, -3, 4, 1434.
-15, -3, -1, 4, 6, 25, 1434
Put 491, -14851, 0, 4 in increasing order.
-14851, 0, 4, 491
Put 1/8, 1.2, -2/33, -354, 0.04, 0 in increasing order.
-354, -2/33, 0, 0.04, 1/8, 1.2
Put 885, 2, -10381 in ascending order.
-10381, 2, 885
Sort 1, -0.04, -26989, -30 in decreasing order.
1, -0.04, -30, -26989
Sort 7.13, 244, -9/2 in descending order.
244, 7.13, -9/2
Sort 523, 12, -22, 1 in descending order.
523, 12, 1, -22
Sort 4, -5, -3, 14, -2, -2331, -26.
-2331, -26, -5, -3, -2, 4, 14
Sort 5/6, 0.2, -271, -2/3, 0.61.
-271, -2/3, 0.2, 0.61, 5/6
Sort -3, 2, 50, 0, 9, -1/6, 2/11 in decreasing order.
50, 9, 2, 2/11, 0, -1/6, -3
Put -4, 0.125, 1, -1.2, 0.04, -0.2 in ascending order.
-4, -1.2, -0.2, 0.04, 0.125, 1
Put -0.5, -0.2, -60293 in ascending order.
-60293, -0.5, -0.2
Put 1, 4, 2, -3, 356, -17 in increasing order.
-17, -3, 1, 2, 4, 356
Sort 1/2, 6, -5, 0, 3/11, -1699, 3.
-1699, -5, 0, 3/11, 1/2, 3, 6
Put -0.13, 1.9, 9/8, 1/3, -3 in descending order.
1.9, 9/8, 1/3, -0.13, -3
Put -0.4, 91/1499, -0.3, -17, 5 in descending order.
5, 91/1499, -0.3, -0.4, -17
Sort -10, -0.1, -124, 87, 1/32, -4.
-124, -10, -4, -0.1, 1/32, 87
Sort 3, -3377773, -2, 4 in ascending order.
-3377773, -2, 3, 4
Sort -0.1, -17, -87/4, 872 in decreasing order.
872, -0.1, -17, -87/4
Put 14228.8, 2, 0.3 in descending order.
14228.8, 2, 0.3
Put 0, 3, -3721644 in ascending order.
-3721644, 0, 3
Put 1/5, -5, 0.731, 56/15 in increasing order.
-5, 1/5, 0.731, 56/15
Put -1, 13, 54273, 5 in descending order.
54273, 13, 5, -1
Sort 1, 1.133, 15.2.
1, 1.133, 15.2
Sort 2, -0.9, -7.1, 2/11, 3, 14, -7.
-7.1, -7, -0.9, 2/11, 2, 3, 14
Sort 44804, 110, 4, 9.
4, 9, 110, 44804
Sort 5/2, 3/4, -3, 8905, 5, -20, 2 in decreasing order.
8905, 5, 5/2, 2, 3/4, -3, -20
Put 2, -24, -1442 in decreasing order.
2, -24, -1442
Sort 0.1, -4/7, 188, -1835, 2/17.
-1835, -4/7, 0.1, 2/17, 188
Sort 4.2, 95, 1380 in decreasing order.
1380, 95, 4.2
Put 41, 4, -5, -2381, -6 in decreasing order.
41, 4, -5, -6, -2381
Put 2.6, -487917/4, 3, -0.3 in increasing order.
-487917/4, -0.3, 2.6, 3
Sort 15, -1070, -3, 0 in increasing order.
-1070, -3, 0, 15
Sort 619/4, -5/2, -3/4, -3/5.
-5/2, -3/4, -3/5, 619/4
Put -3, -1954, -27, 3, -4, 5, -5 in descending order.
5, 3, -3, -4, -5, -27, -1954
Put 905/11, -0.4, 1/4, -0.095 in increasing order.
-0.4, -0.095, 1/4, 905/11
Put 3, 443, 2, 6020 in descending order.
6020, 443, 3, 2
Put 55/3, 1/15, -2/3, 553 in increasing order.
-2/3, 1/15, 55/3, 553
Put -762, -20, 6, -4, -3, 0 in decreasing order.
6, 0, -3, -4, -20, -762
Put -6, 14, 71, -89 in descending order.
71, 14, -6, -89
Put -4, -12, 0, 3, -949, 10, -1 in decreasing order.
10, 3, 0, -1, -4, -12, -949
Sort -29, 40, 3, -15, -7, -2, 4 in increasing order.
-29, -15, -7, -2, 3, 4, 40
Put -184/19, -0.3, -0.1, 5 in ascending order.
-184/19, -0.3, -0.1, 5
Put 5, 2724, 28, 1, 4, -4 in decreasing order.
2724, 28, 5, 4, 1, -4
Sort 27, -1, -3, -50, -18, 8, -2 in increasing order.
-50, -18, -3, -2, -1, 8, 27
Put -2, 5/3003, 88, -1, -0.2 in increasing order.
-2, -1, -0.2, 5/3003, 88
Sort 928314, 3, -12, -6, 0 in ascending order.
-12, -6, 0, 3, 928314
Sort 12, -5, -7, -2099, 3, -1.
-2099, -7, -5, -1, 3, 12
Put -5, -64, 312209, 3 in decreasing order.
312209, 3, -5, -64
Sort -3, -1, 4, -204, -10, -17 in decreasing order.
4, -1, -3, -10, -17, -204
Put 25, 2, -10, -101, -2, 4, 346 in decreasing order.
346, 25, 4, 2, -2, -10, -101
Put 50.7, 2, 59 in descending order.
59, 50.7, 2
Put -24/5, 1380.8, -144 in increasing order.
-144, -24/5, 1380.8
Sort 0, -25, -13, 3848.
-25, -13, 0, 3848
Put -21.3, 1617, 19, -2, 0.5, 1 in decreasing order.
1617, 19, 1, 0.5, -2, -21.3
Put -0.1, -2449, -132.1 in decreasing order.
-0.1, -132.1, -2449
Put 1520.0717, -0.5, 4 in descending order.
1520.0717, 4, -0.5
Put -9, 206, -4, 18011 in decreasing order.
18011, 206, -4, -9
Sort -5, 75, 43, -3, 5, 1, 2 in ascending order.
-5, -3, 1, 2, 5, 43, 75
Put 0, 5, 1, -35, -315 in descending order.
5, 1, 0, -35, -315
Put -6206, 3, -5, -25, -2, 5, 1 in descending order.
5, 3, 1, -2, -5, -25, -6206
Put 5, -2, 7, 1, -680, -1, 6 in decreasing order.
7, 6, 5, 1, -1, -2, -680
Sort -143, 1, 2, 14, 5 in increasing order.
-143, 1, 2, 5, 14
Put -3, -18, 30, -5065 in increasing order.
-5065, -18, -3, 30
Put 1, 5/2, 5, -0.4, 2/3, -49032 in descending order.
5, 5/2, 1, 2/3, -0.4, -49032
Sort -2/7, 0, 0.24359909, 4, 1/3 in ascending order.
-2/7, 0, 0.24359909, 1/3, 4
Sort -5, 5, 9, 18, -109.
-109, -5, 5, 9, 18
Put -4, 16, -3, 2172, -1, 3, -6 in decreasing order.
2172, 16, 3, -1, -3, -4, -6
Sort -6, 8/7245, 0.5, -0.5 in decreasing order.
0.5, 8/7245, -0.5, -6
Sort -4, 2, 9, 5, 0, -27, 145 in descending order.
145, 9, 5, 2, 0, -4, -27
Sort 0.5, -0.4, 5, 1/5, -5, 665.219 in decreasing order.
665.219, 5, 0.5, 1/5, -0.4, -5
Sort -0.1, -1166, -817, -33 in increasing order.
-1166, -817, -33, -0.1
Sort -0.4, 3/4, 0.1763, -0.5, 1/15 in decreasing order.
3/4, 0.1763, 1/15, -0.4, -0.5
Sort -2, -1462, 25, 41 in decreasing order.
41, 25, -2, -1462
Sort -1/32, -1811, -5, 199 in descending order.
199, -1/32, -5, -1811
Sort 57, -456, -8 in decreasing order.
57, -8, -456
Sort 26, 5, -3, 10180, -5 in increasing order.
-5, -3, 5, 26, 10180
Put -5, -2, 128, 62, -1, 0, 2 in ascending order.
-5, -2, -1, 0, 2, 62, 128
Put -2, -161, -13, -7, -296 in decreasing order.
-2, -7, -13, -161, -296
Put 2, 584, -4, -3, -1865, 8 in descending order.
584, 8, 2, -3, -4, -1865
Sort 1, -323, -6, -0.7, 94, -1/2 in decreasing order.
94, 1, -1/2, -0.7, -6, -323
Sort 1952, 4, 2, 1, 21, -6 in decreasing order.
1952, 21, 4, 2, 1, -6
Sort -15, -4, -12, 141, 114.
-15, -12, -4, 114, 141
Put 4/11, -2409, 122/5 in decreasing order.
122/5, 4/11, -2409
Sort -1, -2, 129, -43839 in decreasing order.
129, -1, -2, -43839
Put -6, -36, 20, -4, 9, 1 in descending order.
20, 9, 1, -4, -6, -36
Sort 3, -16, 251644, -3, -1, 2 in increasing order.
-16, -3, -1, 2, 3, 251644
Sort 52, -19, -4, -3, -27, 3 in increasing order.
-27, -19, -4, -3, 3, 52
Sort 4, 3, -12, -2, 18, -8, -7.
-12, -8, -7, -2, 3, 4, 18
Sort 12, -10, -33, 2605, -2 in ascending order.
-33, -10, -2, 12, 2605
Sort -16, -12380, -20 in ascending order.
-12380, -20, -16
Sort -12, 5, -1, -88, -4, 47423.
-88, -12, -4, -1, 5, 47423
Sort -2, -751676, 10 in descending order.
10, -2, -751676
Put -10637, -3, -2, 3, 1, -4 in descending order.
3, 1, -2, -3, -4, -10637
Sort 1/3, 333, -9/4, -1857, -2/7 in increasing order.
-1857, -9/4, -2/7, 1/3, 333
Put -4, -4061, 157 in descending order.
157, -4, -4061
Sort -5, 4, -4525495 in increasing order.
-4525495, -5, 4
Sort -300, -2/4813, 0, -3 in descending order.
0, -2/4813, -3, -300
Put -3, -5, -6, 2, -2, -1, -167513 in ascending order.
-167513, -6, -5, -3, -2, -1, 2
Sort 4085, -53, 18.
-53, 18, 4085
Put 5, -13, -116, -1, -36 in descending order.
5, -1, -13, -36, -116
Sort -159, -1900, 2, 1/3 in descending order.
2, 1/3, -159, -1900
Sort 5, 1, -5, 1185887.8, 2 in ascending order.
-5, 1, 2, 5, 1185887.8
Put -356, -2/7, -336734 in ascending order.
-336734, -356, -2/7
Sort 3, -3/13, 4/97, -1, 11, 0 in ascending order.
-1, -3/13, 0, 4/97, 3, 11
Sort -3/6346, 3/32, 0.1, -0.3.
-0.3, -3/6346, 3/32, 0.1
Sort 2809, 80, -3.
-3, 80, 2809
Put 3842, 5, 6/4075 in ascending order.
6/4075, 5, 3842
Put 9, 856020, -6 in descending order.
856020, 9, -6
Put -41/5, -10, 277, 2, -1 in descending order.
277, 2, -1, -41/5, -10
Put -9, -525, 4, 8, -1, 82 in increasing order.
-525, -9, | {
"pile_set_name": "DM Mathematics"
} |
1905 and 1143?
5715
What is the common denominator of -127/23640 and -101/8?
23640
Find the common denominator of -117/95590 and -23/14.
669130
Calculate the common denominator of -39/61787 and 13/11234.
123574
Calculate the smallest common multiple of 28 and 41488.
290416
Calculate the common denominator of -16/366301 and -125/156.
4395612
What is the least common multiple of 176 and 20?
880
Calculate the common denominator of 82/6975 and -9/317750.
2859750
What is the smallest common multiple of 43 and 1074?
46182
Calculate the lowest common multiple of 614860 and 36372.
12912060
Calculate the smallest common multiple of 437346 and 2040948.
6122844
Calculate the common denominator of -157/1320 and -191/555060.
1110120
Calculate the lowest common multiple of 3672 and 5814.
69768
What is the lowest common multiple of 1529451 and 695205?
7647255
What is the common denominator of -19/8 and 7/244472?
244472
Find the common denominator of -121/516 and -39/688.
2064
Find the common denominator of -53/10392 and 7/696.
301368
What is the least common multiple of 3165 and 5697?
28485
Find the common denominator of -29/441896 and 9/56.
441896
What is the lowest common multiple of 81952 and 61464?
245856
What is the common denominator of -89/8854 and -77/10?
44270
What is the least common multiple of 4214 and 7224?
50568
Find the common denominator of -43/384430 and -111/40.
1537720
What is the common denominator of -113/30732 and -43/6?
30732
What is the common denominator of 47/844824 and -37/211206?
844824
Calculate the common denominator of 137/18 and -14/44901.
89802
What is the smallest common multiple of 7356 and 24520?
73560
Calculate the common denominator of 63/80 and 75/30934.
1237360
Calculate the common denominator of -11/1305465 and -127/74598.
2610930
Find the common denominator of -5/119 and -89/26928.
188496
What is the common denominator of 101/8370 and 73/117?
108810
What is the common denominator of 141/1750 and -73/5800?
203000
What is the smallest common multiple of 21 and 4473?
4473
What is the common denominator of 34/1161 and -1/26359?
711693
Calculate the smallest common multiple of 1500 and 1410.
70500
What is the lowest common multiple of 18 and 62?
558
What is the least common multiple of 864 and 975?
280800
Calculate the smallest common multiple of 18084 and 11.
18084
What is the lowest common multiple of 11364 and 3?
11364
Calculate the common denominator of 127/7788 and 89/24.
15576
Calculate the common denominator of 35/627 and 125/5358.
58938
What is the least common multiple of 24 and 14598?
58392
What is the smallest common multiple of 162 and 11628?
104652
Calculate the least common multiple of 47465 and 28479.
142395
Find the common denominator of 4/441 and 1/12.
1764
Calculate the lowest common multiple of 89775 and 179550.
179550
What is the lowest common multiple of 2250 and 80250?
240750
Calculate the smallest common multiple of 83002 and 415010.
415010
Find the common denominator of 13/567 and 22/2037.
54999
Find the common denominator of 113/6 and 68/105.
210
Calculate the lowest common multiple of 11134 and 513.
300618
What is the least common multiple of 350036 and 525054?
1050108
What is the lowest common multiple of 7266 and 2422?
7266
Find the common denominator of 17/14410 and 15/2677378.
13386890
Calculate the common denominator of -97/144580 and 61/115664.
578320
Calculate the least common multiple of 60 and 636.
3180
Find the common denominator of -19/962 and -133/936.
34632
What is the common denominator of 35/6112 and -59/332?
507296
Calculate the common denominator of -37 and 104/8085.
8085
Calculate the common denominator of 131/34992 and -101/288.
69984
Calculate the least common multiple of 5976 and 216.
17928
Calculate the common denominator of -62/85 and 1/21315.
362355
Calculate the least common multiple of 45880 and 60.
137640
What is the smallest common multiple of 755000 and 9060?
2265000
What is the common denominator of 7/136 and 51/108116?
3675944
What is the smallest common multiple of 9183 and 21?
64281
Calculate the lowest common multiple of 388 and 830.
161020
Calculate the smallest common multiple of 210 and 305160.
2136120
What is the lowest common multiple of 4496 and 384?
107904
What is the common denominator of 64/1579705 and 30/1637?
1579705
What is the smallest common multiple of 2870 and 2457?
1007370
Find the common denominator of -81/212 and 17/1202.
127412
Find the common denominator of -43/2040 and 49/1615.
38760
Calculate the least common multiple of 210945 and 14063.
210945
What is the common denominator of 71/426836 and -3/20?
2134180
Find the common denominator of 47/19355 and 57/7189.
251615
Calculate the lowest common multiple of 75 and 5050.
15150
Calculate the lowest common multiple of 5808 and 4752.
52272
Find the common denominator of -6/21707 and 51/8.
173656
What is the smallest common multiple of 3286 and 28302?
877362
Calculate the smallest common multiple of 87 and 17625.
511125
What is the least common multiple of 492645 and 120?
3941160
Calculate the smallest common multiple of 43578 and 9.
43578
What is the lowest common multiple of 1648 and 55620?
222480
Calculate the least common multiple of 45 and 8568.
42840
Calculate the common denominator of -115/20448 and 11/951.
6482016
Calculate the smallest common multiple of 782548 and 707.
5477836
What is the common denominator of 37/88 and 59/12320?
12320
What is the common denominator of -1/6608 and -113/440?
363440
Calculate the common denominator of -55/19064 and -53/147746.
590984
Calculate the common denominator of 101/2608 and 47/60636.
242544
What is the least common multiple of 70 and 4249?
42490
Find the common denominator of -2/3857 and 55/4959.
34713
What is the least common multiple of 72040 and 5403?
216120
What is the smallest common multiple of 10440 and 16704?
83520
What is the common denominator of 61/121446 and 31/6747?
121446
Find the common denominator of -71/183 and 157/5760.
351360
What is the smallest common multiple of 4700 and 40?
9400
What is the lowest common multiple of 30672 and 24992?
674784
What is the lowest common multiple of 6672 and 92?
153456
Find the common denominator of 131/431712 and 127/431712.
431712
What is the common denominator of -5/4 and 103/255510?
511020
What is the common denominator of 87/415696 and -57/103924?
415696
Find the common denominator of 83/364 and 16/357.
18564
Calculate the common denominator of -107/238278 and 73/5436.
1429668
What is the common denominator of 123/972430 and -17/62070?
2917290
What is the smallest common multiple of 160 and 11264?
56320
What is the smallest common multiple of 112 and 47024?
329168
What is the least common multiple of 1788 and 12?
1788
Find the common denominator of -95/29924 and -143/6.
89772
What is the lowest common multiple of 792 and 60?
3960
Calculate the lowest common multiple of 111 and 1008324.
1008324
What is the common denominator of -53/177289 and -85/151962?
1063734
Find the common denominator of -63/5 and -131/4860.
4860
What is the common denominator of -163/240 and -101/15570?
124560
What is the smallest common multiple of 1053 and 3042?
27378
What is the common denominator of -179/240 and -77/31464?
314640
Calculate the common denominator of 61/2282 and -29/17668.
2879884
Calculate the smallest common multiple of 11 and 456291.
456291
Calculate the common denominator of -25/874 and 9/52.
22724
Calculate the common denominator of 113/300 and -53/42024.
1050600
What is the smallest common multiple of 1405 and 207?
290835
Calculate the common denominator of 103/448 and 31/1216.
8512
Find the common denominator of 57/21275 and 71/4025.
148925
What is the smallest common multiple of 2350 and 9165?
91650
Calculate the common denominator of -83/1864938 and 121/18.
5594814
What is the lowest common multiple of 651 and 868?
2604
Calculate the lowest common multiple of 65162 and 14714.
456134
Find the common denominator of -61/1734 and 13/176188.
8985588
Calculate the least common multiple of 577176 and 8.
577176
Calculate the smallest common multiple of 26418 and 11396.
581196
What is the smallest common multiple of 230 and 670?
15410
What is the lowest common multiple of 270 and 3390?
30510
What | {
"pile_set_name": "DM Mathematics"
} |
2*x**3/9 - 218*x**2/3 + 23762*x/3 + 463. Find w, given that s(w) = 0.
109
Let v(n) = 17*n - 9. Let d be v(3). Factor 11*k + 26*k**2 - 43*k - 48*k**2 - d*k**2 - 4.
-4*(4*k + 1)**2
Let h be (1 - (-3 + 4)) + 18. Suppose 0 = 3*a - h + 6. Factor 0 + 2/5*t**a - 2/5*t - 6/5*t**3 + 6/5*t**2.
2*t*(t - 1)**3/5
Let p = -2663 - -21349/8. Factor 0 + 0*m + p*m**4 + 3/4*m**2 - 51/8*m**3.
3*m**2*(m - 1)*(15*m - 2)/8
Let c = -42/1363 - -61629/9541. What is n in -c*n**2 + 39/7*n + 6/7 = 0?
-2/15, 1
Suppose 46*n = -58*n + 96*n. Factor 2/5*j**2 + 1/5*j**5 + 0 + n*j**4 - 3/5*j**3 + 0*j.
j**2*(j - 1)**2*(j + 2)/5
What is j in 44 + 41/3*j - 1/3*j**2 = 0?
-3, 44
Let r(g) be the second derivative of -3*g**5/40 + 3*g**4/8 - g**3/2 - 87*g. Let r(n) = 0. What is n?
0, 1, 2
Let c be 20/(-10)*-2 + -1. Let r(k) be the third derivative of 0 + 0*k + 1/1140*k**6 - 7*k**2 + 1/114*k**5 + 4/57*k**c + 2/57*k**4. Factor r(h).
2*(h + 1)*(h + 2)**2/19
Let n be (256/32)/(1/5). Let m(g) be the first derivative of -35/4*g**4 - 30*g**3 - n*g - 5 - g**5 - 50*g**2. Factor m(u).
-5*(u + 1)*(u + 2)**3
Let b = 22/101 - 4194/707. Let k = b + 6. Factor -k*t - 1/7*t**2 - 1/7.
-(t + 1)**2/7
Let m = 6/28253 + 109932381/197771. Let x = -555 + m. Factor -2/7*y**3 + 2/7 + x*y**2 - 6/7*y.
-2*(y - 1)**3/7
Let f(j) be the second derivative of j**7/126 + j**6/90 - j**5/10 + j**4/18 + 5*j**3/18 - j**2/2 - 20*j - 10. Factor f(d).
(d - 1)**3*(d + 1)*(d + 3)/3
Let c(o) = -2*o**3 + o**2 + 7*o - 7. Let u be c(2). Let w be u*(24/(-6))/4. Suppose 1/6*b**4 - 1/6*b**w - 1/6*b**2 + 1/6*b**3 + 0 + 0*b = 0. What is b?
-1, 0, 1
Find x such that -1/2*x + 0 + 1/6*x**2 - 1/6*x**4 + 1/2*x**3 = 0.
-1, 0, 1, 3
Let h be ((-9)/(-54))/(1/(-6) - -1). Let y(o) be the first derivative of 1 + 0*o**2 + 1/3*o**3 - 1/6*o**6 - h*o**5 + 0*o + 1/4*o**4. Factor y(a).
-a**2*(a - 1)*(a + 1)**2
Let w(g) be the second derivative of -3*g**5/140 + g**4/14 + 5*g**3/14 - 9*g**2/7 - 127*g. Factor w(x).
-3*(x - 3)*(x - 1)*(x + 2)/7
Let o(r) be the second derivative of r**6/180 + r**5/90 - r**4/18 + r**2 - 5*r. Let c(l) be the first derivative of o(l). Solve c(w) = 0.
-2, 0, 1
Factor -36 - 3211*a**2 - 682*a + 361/2*a**3.
(a - 18)*(19*a + 2)**2/2
Find w, given that 0*w**3 + 0*w**2 - 15*w - 2*w**2 + 11*w + 2*w**3 = 0.
-1, 0, 2
Let y = -14 - -17. Suppose -l - l + 2 = -y*d, -l + 6 = d. Factor 2*r**3 + 0*r**2 - d*r - 2*r**4 - r**2 + 3*r**2.
-2*r*(r - 1)**2*(r + 1)
Let y be (-1)/(2/6) - (5 - 12). Let j(f) be the first derivative of -4/3*f**3 - 4*f - y*f**2 + 5. Factor j(h).
-4*(h + 1)**2
Let y be (1/9)/((-256)/(-1536)). Solve -2/3*j**4 + 2*j**2 - y*j**3 + 2/3*j - 4/3 = 0 for j.
-2, -1, 1
Let g(u) be the first derivative of -u**4/8 + 11*u**3 - 129*u**2/4 + 32*u + 88. Solve g(j) = 0 for j.
1, 64
Suppose 1 - 7 = -3*l. Let z be l + (-42)/(-9) - 4. Solve 2*p - z*p**3 + 2/3 + 0*p**2 = 0.
-1/2, 1
Suppose 5*n = 6*n. Suppose d = 0, -4*t + 8 = -n*d - 4*d. Factor -3*z + 26 + 4*z**t - 30 + 3*z.
4*(z - 1)*(z + 1)
Suppose 9 = 3*x - 6. Let w be 22/x - (5 + -1). Determine b, given that 0 + 1/5*b**2 + w*b - 1/5*b**3 = 0.
-1, 0, 2
Suppose 6*h = 32 + 70. Suppose -5*z = -h*z + 24. Solve 1/3*f**z + 0*f + 0 = 0 for f.
0
Factor 12/5*x**3 - 24*x + 40 + 2/5*x**4 - 22/5*x**2.
2*(x - 2)**2*(x + 5)**2/5
Let t be 8 + (2 - -1 - 2) - 2. Factor 0*k + t*k - 9*k + 3*k**3 - 4*k**3 - 3*k**2.
-k*(k + 1)*(k + 2)
Suppose -2*t + 17*l + 20 = 21*l, -l + 3 = 0. Determine v so that 3/4 + 3/8*v + 3/4*v**t - 3/2*v**2 + 3/8*v**5 - 3/4*v**3 = 0.
-2, -1, 1
Let w = 676 + -676. Let t(f) be the third derivative of w*f - 1/144*f**4 - 1/240*f**6 + 1/1260*f**7 - 8*f**2 + 1/120*f**5 + 0 + 0*f**3. What is k in t(k) = 0?
0, 1
Let s(r) be the first derivative of 0*r + 1/240*r**6 - 1/16*r**4 - 3 - 10/3*r**3 + 0*r**2 + 0*r**5. Let p(v) be the third derivative of s(v). Factor p(f).
3*(f - 1)*(f + 1)/2
Let n(v) = 6*v**3 - 276*v**2 - 660*v - 153. Let z(f) = f**3 + 2*f**2 - 1. Let t(l) = n(l) + 15*z(l). Determine j, given that t(j) = 0.
-2, -2/7, 14
Let y(x) = -2*x**2 + 23*x - 18. Let w(b) = -3*b**2 + 22*b - 17. Let m(d) = 3*w(d) - 2*y(d). Factor m(n).
-5*(n - 3)*(n - 1)
Let v = 47 + -43. Let r(t) = 16*t**2 - 4*t + 10. Let k(o) = -3*o**2 + o - 2. Let w(n) = v*r(n) + 22*k(n). Suppose w(d) = 0. Calculate d.
1, 2
Suppose 2*t = -15 + 3. Let g be -3 - (-3 + 6 + t). Factor 0*p + g*p - p**2 + p + 1 - 2*p**3 + p**3.
-(p - 1)*(p + 1)**2
Let k(d) = 2*d**2 + d. Let y(c) = -10*c**2 - 10*c + 20. Let t(j) = -4*k(j) - y(j). Factor t(u).
2*(u - 2)*(u + 5)
Let o = -48 - -72. Factor -60*i + 15*i**3 - 8*i**3 + o*i**2 + 48 - 10*i**3.
-3*(i - 4)*(i - 2)**2
Let d(m) be the second derivative of -1/160*m**5 + 0*m**2 + 0*m**3 - 7*m - 1/48*m**4 + 0. Suppose d(g) = 0. Calculate g.
-2, 0
Suppose -259 + 126 = -9*y - 124. What is f in 3/2*f + 3/2*f**2 - f**3 - y = 0?
-1, 1/2, 2
Let s(m) be the third derivative of m**5/15 + m**3/2 + 2*m**2. Let i be s(-3). Factor 3*a**3 - 6*a**3 - 45*a - 21*a**2 + 12 - i.
-3*(a + 1)*(a + 3)**2
Let o(v) be the first derivative of 2*v**3/9 + 13*v**2/3 - 20*v + 27. Factor o(h).
2*(h - 2)*(h + 15)/3
Let h(j) be the second derivative of j**7/126 - j**6/15 + 2*j**5/15 + j**4/18 - j**3/2 + 2*j**2/3 - j. Factor h(y).
(y - 4)*(y - 1)**3*(y + 1)/3
Suppose 0 = 100*k - 102*k + 390. Let a be 4/(-22) + k/286. Solve 3/2*c + 0 + 2*c**2 + a*c**3 = 0.
-3, -1, 0
Let j(s) be the first derivative of 4*s**5/15 + s**4 - 8*s**3/9 - 8*s**2 - 32*s/3 + 117. Solve j(l) = 0.
-2, -1, 2
Let c(t) = -7*t**2 + 8*t + 35. Let r(h) = 34*h**2 - 40*h - 174. Let i(n) = -14*c(n) - 3*r(n). Factor i(w).
-4*(w - 4)*(w + 2)
Suppose g - 4 = 5*x, 0*g - 5*x = -3*g - 8. Let i be 19/10 + g/15. Factor i*o**2 + 0 + 1/2*o + 3/2*o**3 + 1/2*o**4.
o*(o + 1)**3/2
Let x(u) be the first derivative of 4 + 0*u**4 - 4/5*u**5 - 2/3*u**6 + 0*u + 0*u**2 + 0*u**3. Suppose x(m) = 0. What is m?
-1, 0
Let k(n) = n**2. Let w(o) be the second derivative of 1/6*o**4 + 0*o**2 + 0 + 0*o**3 - o - 1/10*o**5. Let l(s) = -2*k(s) - w(s). Factor l(d).
2*d**2*(d - 2)
Let v(a) be the third derivative of 0*a - 50*a**2 + 0 - 128*a**3 + 4*a**4 - 1/20*a**5. Factor v(w).
-3*(w - 16)**2
Determine h so that 5/8*h + 1/8*h**3 + 25/4 - h**2 = 0.
-2, 5
Let m(k) be the first derivative of 0*k - 3 + 9/2*k**2 + 1/3*k**3. Let m(t) = 0. Calculate t.
-9, 0
Factor 183*t**3 + 189*t**2 - 12 + 367*t - 256*t - 471*t.
3*(t - 1)*(t + 2)*(61*t + 2)
Suppose -x - 2*x = 0. Suppose -4*b = -2*p + 14, 0 = 7*p - 2*p - 3*b - 21. Factor 1/4*k**p - 1/4*k + 0 + x*k**2.
k*(k - 1)*(k + 1)/4
Suppose 0*l**3 - 2/3*l**5 + 0 + 0*l**2 + 0*l - 88/3*l**4 = 0. Calculate l.
-44, 0
Let n(q) = 42*q**3 + 69*q**2 + 21*q - 66. Let w(y) = y**3 + y**2 - y - 6. Let c(p) = -n(p) + 12*w(p). Factor c(m).
-3*(m + 1)*(2*m + 1)*(5*m + 2)
Let j(t) be the first derivative of 3*t**4/16 - 13*t**3/2 + 507*t**2/8 - 61. Solve j(n) = 0 for n.
0, 13
Let f(w) be the first derivative of 5*w**4/12 + 10*w**3/3 + 10*w**2 - 13*w - 3. Let b(o) be the first derivative of f(o). Suppose b(l) = 0. Calculate l.
-2
Let d(j) be the first derivative of -j**4/20 - 2*j**3/15 - j**2/10 + 151. Solve d(r) = 0.
-1, 0
Let f(l) be the third derivative of 1/360*l**5 + 1/144*l**4 - 1/720*l**6 + 0 - 1/36*l**3 + 0*l + 11*l**2. Factor f(q).
-(q - 1)**2*(q + 1)/6
Let w(m) be the third derivative of -9*m**2 + 0*m**3 + 0 + 0*m - 1/1848*m**8 + 1/1155*m**7 + 1/660*m**6 - 1/330*m**5 + 0*m**4. Factor w(i).
-2*i**2*(i - 1)**2*(i + 1)/11
Suppose -38/15*i**2 + 64/15*i - 4/15*i**3 - 22/15 = 0. What is i?
-11, 1/2, 1
Let p = -40/407 + 34708/5291. Let g = -1208/195 + p. Find v such that 14/5*v**3 + g*v - 32/5*v**5 + 2*v**2 - 16/3*v**4 + 0 = 0.
-1, -1/4, 0, 2/3
Factor -47*f**3 + 4*f**4 - f + 39*f**3 - 4*f**2 + 9*f.
4*f*(f - 2)*(f - 1)*(f + 1)
Suppose 46*j - 37 = 101. Let d(n) be the first derivative of 7/6*n**j - 7/8*n**2 + 7 + 1/4*n - 1/2*n**4. Suppose d(m) = 0. What is m?
1/4, 1/2, 1
Let j(g) be the second derivative of 7*g**5 + 74*g**4/3 - 16*g**3 + 61*g. Determine t so that j(t) = 0.
-12/5, 0, 2/7
Suppose 20*p = 22*p - 4. Factor -4*c**3 - 8*c**2 - 11*c**2 + 0*c + 7*c**p - 8*c.
-4*c*(c + 1)*(c + 2)
Suppose -12*i + 2*i - 5 = -25. Factor 2/15*g**3 - 2/15*g**4 + 2/15*g**i + 0 - 2/15*g.
-2*g*(g - 1)**2*(g + 1)/15
Solve 4*w**2 + 72*w + 2*w**2 + 0*w**2 - 4*w**2 = 0.
-36, 0
Let -2/7*i**5 + 2/7*i**4 + 22/ | {
"pile_set_name": "DM Mathematics"
} |
alse
Which is bigger: 141/29 or 970?
970
Is 514656 greater than 514622?
True
Is 16855 >= 17332?
False
Which is bigger: -0.2 or 2/757297?
2/757297
Which is smaller: -264573 or -262824?
-264573
Do -189768/17 and -11162 have different values?
True
Is 404 bigger than -68828?
True
Is 1/48 greater than or equal to 208521?
False
Is -748501 at least 5?
False
Which is greater: 4/23599219 or 0?
4/23599219
Which is smaller: 18/5791579 or 0?
0
Which is bigger: -68174 or -68206?
-68174
Are 18677174 and 18677173 equal?
False
Which is greater: 31355 or 721147/23?
31355
Is -2 >= -14634/12305?
False
Is -5/1847258 <= 1?
True
Which is smaller: -4469206/789 or -5663?
-4469206/789
Is -11835743 <= -11835739?
True
Which is smaller: -0.3 or 29391796?
-0.3
Do -357580/153 and -2337 have different values?
True
Which is smaller: -4648044 or -4648011?
-4648044
Which is smaller: 10827 or -1/483?
-1/483
Is -2000822 equal to -2000822?
True
Is 2 < 7034564?
True
Is 41820417 >= 41820417?
True
Which is greater: 19329/4 or 48.8?
19329/4
Is 523 >= -447551?
True
Which is greater: 182340 or 181490?
182340
Which is smaller: -4840055 or -4840057?
-4840057
Which is smaller: -1 or 76/9958817?
-1
Which is greater: -311025 or -169?
-169
Do 259110 and 259159 have the same value?
False
Are 41214991 and 41214995 non-equal?
True
Is -1 <= -19137/35998?
True
Which is bigger: 21704594 or 21704601?
21704601
Which is smaller: 2/135467271 or 1?
2/135467271
Which is bigger: 81396958 or 81396956?
81396958
Is -96436 >= -96541?
True
Is 4/15 less than or equal to -7240.67?
False
Is 9665.741 at most as big as -55?
False
Is -203155414 >= -203155412?
False
Which is bigger: -7 or -21848/3615?
-21848/3615
Do -5516 and 88.44 have the same value?
False
Do -459659 and -459665 have the same value?
False
Which is smaller: 0.23207 or 1337?
0.23207
Which is greater: 10764 or 10833?
10833
Which is greater: -4 or -817/313?
-817/313
Which is bigger: -572 or 67460?
67460
Which is smaller: -2/5096553 or 1?
-2/5096553
Which is greater: 94681 or 108684?
108684
Which is smaller: -24.176377 or 0.16?
-24.176377
Which is smaller: -245322 or -245024?
-245322
Which is smaller: -59573129/6 or -9928854?
-59573129/6
Is -1602 != 14254?
True
Is -8 greater than -50913521?
True
Is 112063 smaller than 112550?
True
Are 12812 and 633 non-equal?
True
Is 307788317 > 307788318?
False
Is 85497396 smaller than 85497396?
False
Is 2/1539672239 at least -1?
True
Which is bigger: 126 or 41423?
41423
Which is smaller: 71147 or 70545?
70545
Are -38402 and -38336 nonequal?
True
Which is bigger: -12762229 or -89335594/7?
-89335594/7
Is 95721083 < 95721085?
True
Which is bigger: -9732/6979 or 0?
0
Which is greater: 1 or 1650014?
1650014
Which is smaller: 12142 or 12122?
12122
Are 2391489 and 2391433 non-equal?
True
Is 1 bigger than -2916/473665?
True
Which is smaller: -106.986 or -0.02727?
-106.986
Which is smaller: -18921494 or -18921492?
-18921494
Which is smaller: 63870535 or 63870533?
63870533
Which is smaller: 1/74322884 or 1?
1/74322884
Do 0.034637889 and -1/3 have the same value?
False
Is -79617/1460 equal to -54?
False
Is 4/233137 at least -1?
True
Is -566317/6 smaller than -94387?
False
Is -7192/1025 at least -6?
False
Is 84528 smaller than 84624?
True
Which is bigger: 129 or -90682?
129
Which is greater: -73/4 or 1/1687?
1/1687
Does -2 = 1704366/13?
False
Which is greater: -10 or 68740/27?
68740/27
Does -82 = -1593/32?
False
Which is greater: -16/166650935 or -1?
-16/166650935
Which is greater: -47439 or -47214?
-47214
Is -447894063 greater than or equal to -447894063?
True
Is 13788896 at most as big as 13788895?
False
Which is greater: 8842/2115 or 4?
8842/2115
Which is smaller: 186 or 232952/1245?
186
Are -1059775 and -1060007 unequal?
True
Is -2 at least as big as -73/31748?
False
Which is bigger: 124 or -2.6299?
124
Do 2917335 and 2917340 have the same value?
False
Which is smaller: -4.6759 or 142?
-4.6759
Are -66254635 and -66254651 non-equal?
True
Are 43637919 and 43637920 nonequal?
True
Which is greater: 1 or -7/3336061?
1
Are 0.2 and -1/48520606 equal?
False
Is -2/31792267 < 1?
True
Is 0.019 greater than -261/53?
True
Is -1 bigger than 6/66077195?
False
Which is bigger: -247904 or -247907?
-247904
Which is greater: 0 or -4/113047199?
0
Which is smaller: -46195361 or -46195364?
-46195364
Is -5585353 > -5585361?
True
Does -1/2 = -25955/7?
False
Is 7833/14150 != 0?
True
Which is greater: 1 or -34/61059647?
1
Is 1/3 less than -1100458.79?
False
Is 1/241870690 at least as big as 0?
True
Which is bigger: 0 or -1/58280902?
0
Which is smaller: -1934953 or -1934951?
-1934953
Does -32156 = -32263?
False
Which is smaller: 0 or 2/859228467?
0
Which is smaller: 0 or -25/4944379?
-25/4944379
Which is smaller: -20614127 or -20614126?
-20614127
Which is smaller: -2/9 or -171382300?
-171382300
Do -0.01594 and 32 have the same value?
False
Is 2503759 > 2503732?
True
Is 1906418 at least 7?
True
Is 9560645 > 9560726?
False
Which is greater: 0 or -41/34876?
0
Are 43953921 and 43953913 nonequal?
True
Which is smaller: -9321363 or -9321364?
-9321364
Is -5038861 less than -5038861?
False
Which is smaller: -3/425389832 or -1?
-1
Do 1 and -6/102328201 have the same value?
False
Which is smaller: -284/5 or 1.2575?
-284/5
Are -1/10 and -1/266125 equal?
False
Which is smaller: -85627 or -628?
-85627
Is -589 not equal to 1120?
True
Which is smaller: -1 or 1/626813955?
-1
Is -912376 at most as big as -912377?
False
Does 80203 = 450?
False
Is 807842172 at least 807842173?
False
Is -38373 greater than or equal to -38439?
True
Which is bigger: -15960 or -15803?
-15803
Is -14018568 greater than -14018566?
False
Is -175920015 less than 0.2?
True
Is -10783 less than or equal to -10812?
False
Is 3591 equal to -178/121?
False
Which is smaller: -40241106 or -40241107?
-40241107
Which is bigger: -10474 or 0.106?
0.106
Which is smaller: -1/96471159 or 0?
-1/96471159
Which is bigger: 1 or 2/16523807?
1
Which is smaller: -15/16594 or 11.5?
-15/16594
Is 3029/24690 greater than 0?
True
Which is smaller: 244/10917 or 0?
0
Is -1 at most as big as -1180/205983?
True
Are -3 and -6/181885 nonequal?
True
Is -3 != -151565525?
True
Does 7959294 = 7959294?
True
Is 3.758368 less than 1.3?
False
Is 15908561 less than 15908565?
True
Is -155085970 < -155085967?
True
Is -34 not equal to 4011933?
True
Is -416592 less than -416648?
False
Which is bigger: 0 or 52667944?
52667944
Which is smaller: -1745956 or 0.1?
-1745956
Which is bigger: 0 or 134/455253?
134/455253
Which is greater: 1 or -16/395463?
1
Are 6080/49 and -3/2 equal?
False
Is 0 < 1739/10655?
True
Which is bigger: -63471 or 0.3?
0.3
Are -4449 and -22008 unequal?
True
Is -602926 not equal to -602520?
True
Which is smaller: 11002 or 107.52?
107.52
Is -3/2804018 smaller than 1?
True
Which is greater: -927235399 or -927235400?
-927235399
Which is bigger: 3127207 or 3127191?
3127207
Which is bigger: -113631612 or -113631610?
-113631610
Is 1 greater than -2548/136289?
True
Is 4222 >= 2639454/625?
False
Is -28987.6 less than or equal to -206?
True
Which is greater: -872459 or -872465?
-872459
Does 0 = -2247/13861?
False
Is -1/93844853 at least as big as 1?
False
Which is smaller: -1142358 or -1142397?
-1142397
Which is smaller: 363/183784 or -1?
-1
Which is smaller: 22776563 or 22776562?
22776562
Is -10471 bigger than -11041?
True
Is 3.29184 less than -0.1153?
False
Is 0 greater than -2/30878897?
True
Which is bigger: -1767498 or -22?
-22
Do 8002211/485 and 16499 have different values?
True
Is 265756683 greater than or equal to 265756683?
True
Is 72235 at most 72235?
True
Which is greater: 1006 or 14460?
14460
Is -13495632 equal to -13495641?
False
Is 2581 < 585753/227?
False
Which is smaller: 104986 or 104865?
104865
Which is bigger: -2095996 or -2096003?
-2095996
Which is bigger: 2289967 or 43?
2289967
Is 635/399239 greater than or equal to 0?
True
Which is greater: 2/5 or -1323.5932?
2/5
Is 1766575 at least as big as 1766567?
True
Which is bigger: -27817913 or -27817899?
-27817899
Is 3897168 <= 3897144?
False
Which is greater: 1/6 or -5856809?
1/6
Which is bigger: -1901/2279 or 0?
0
Is 1 at most as big as 209/192897?
False
Is 584/316767 > 1?
False
Is 0 less than or equal to -58/7832101?
False
Is -720015/941 at least as big as -765?
| {
"pile_set_name": "DM Mathematics"
} |
+ 15 + (-10557)/759).
11/4
(65 + -67)*((-2496)/(-15120) - (2 + -1)/7)
-2/45
Calculate 48 + 35 + (-972)/27.
47
Evaluate 154/(-554400)*90 - (-2301)/840.
19/7
What is the value of 7*((-62)/465*30/(-78))/((-12)/9)?
-7/26
What is ((6/(-4))/(37 + 6195/(-168)))/((-30)/2)?
4/5
945 - 948 - (-4*3 - 2)
11
Evaluate ((-8502)/(-18421))/(((-2)/65)/((-4)/(-15))).
-4
(3/4)/((-624)/1664) - (-1)/(11/46)
24/11
Calculate (27 + 0)/(-108)*-252.
63
Evaluate 1 - 4 - (69/(-7))/(-61 - (-16092)/252).
9/20
Calculate ((-2405)/(-259))/(3/441*21).
65
Calculate 9847/(-122057)*-410 - 1*(-2)/(-26).
33
Evaluate (17 + 3034/(-205))*(-5)/(-33).
1/3
(-20)/10 + 1 + -1 - 31
-33
Evaluate (13 - 2/2)*(-52216)/78324*(-5)/(-12).
-10/3
What is (-28 - 3786/(-135)) + (-4030)/(-450)?
9
What is 2310/44*609/5684?
45/8
Evaluate (540/(-162))/(466/(-699)).
5
Calculate 2*(2/(-8) - 1421/12)*(-1512)/(-4032).
-89
What is (209/121)/(156/(-8580))?
-95
What is ((-11528)/7205*10/(-128))/((3/664)/3)?
83
Evaluate -2 - 325/85 - ((-2211)/3685)/(2/20).
3/17
What is 157/13 + 28728/(-756) + 5*5?
-12/13
Evaluate 52/(-1482) - 1421/6612.
-1/4
What is 6/(-2 + 0) + 21540/2513?
39/7
What is the value of -190*860/(-32600) - (-31 - -36)?
2/163
Calculate ((-1953)/(-62))/(-30 + (-2079)/(-72)).
-28
What is (851/(-368))/37*(-152)/3?
19/6
What is the value of (-176)/(-660)*(-2 - (-150)/12)?
14/5
What is the value of (-199)/((-102087)/4674) - 9?
1/9
Evaluate 304769/(-32948)*(-2)/(-37).
-1/2
Evaluate (0 + (-27)/(-27))/(132/(-360)).
-30/11
What is the value of ((-1)/(-2))/(117/104)*((-1530)/24)/(-17)?
5/3
9 + (-48 + (-11690)/(-245))*(335/2)/5
-4/7
Calculate (-5 - -4)*36/(-120)*-25.
-15/2
Calculate 1439011/(-11809) - 4/28.
-122
Evaluate 92/(-42)*(525/240)/(30/(-24)).
23/6
What is the value of 2/(-4) - (-41 + (-19 - -50) + (-217)/(-22))?
-4/11
(0 + 11/(-6))*(-12200)/(-167750)
-2/15
((-67312)/43272)/(19/(-9) + 1) - (-17)/(-12)
-1/60
What is the value of (5*-1 + (8 - 7))/(70/315)?
-18
Evaluate 409/4499 - (72/(-528))/(2/12).
10/11
Calculate (-138)/11 + 209/((-2299)/(-154)).
16/11
Calculate (-14 - 364/(-21)) + 1219/(-345).
-1/5
Calculate (-53970)/13878 + 2185/585.
-2/13
(8/18)/(18760/(-60300))
-10/7
Evaluate 6/30 - 2/((-230)/(-4163)).
-36
Calculate -2 + (-47 - -100) - -3.
54
Evaluate (-442)/442*(-412)/(-249) + (-10)/(-6).
1/83
What is (656/8528)/((-5)/(910/(-6)))?
7/3
What is the value of ((-16)/(-12))/(192/(-288))?
-2
-24*15282/(-42768) - 300/(-275)
29/3
What is the value of 88 - 620/7 - (-151)/7?
21
What is (1 - 904/151) + (590 - 585)?
2/151
What is (84/(-1050))/(63861/3990 + -16)?
-76/5
Calculate 19*(-14)/(-133) - 29/(899/(-62)).
4
Calculate ((-14)/(-42))/((-125)/29175) + 16/(-5).
-81
Evaluate 20097/4970 - (-510)/(-120) - 6/(-40).
-4/71
Evaluate 7513 + -7529 - -1*4.
-12
What is the value of (3/((-369)/12))/((-46)/8 + (-1463)/(-836))?
1/41
What is (125/14 - 1 - 35320/24724)*172/13?
86
What is the value of 1/10 - (83 - 2196/40)?
-28
What is (-128)/(-2) - (-836583)/(-13052)?
-5/52
What is (-10638)/(-5040)*-10 - 21*-1?
-3/28
Evaluate 2394/171 - 11716/841.
2/29
Calculate (2/29 - 1)/(207/138)*76/114.
-12/29
What is 1428/(-650) + 2 - (-18426)/239538?
-3/25
Calculate 84/2*(-4327)/(-30289).
6
Calculate (-32992)/(-5155) + 458/(-20).
-33/2
((-30)/(-1430))/(172/(-1118))
-3/22
What is the value of (-10)/498*((-1614)/2690)/((-2)/(-4))?
2/83
Evaluate -52 - (55275/(-627) - -36).
3/19
Evaluate (-18 - (-165)/11) + 3 + -5 + -28.
-33
What is 27728/(-38126)*(-11)/4?
2
(60/(-14))/((-4495)/44051)
42
Evaluate ((-7)/(-6))/(2 + (-351)/162).
-7
What is the value of (((-4)/372)/1)/(18425/(-450) - -41)?
-6/31
348/(-21112)*(-25 + 39)
-3/13
Evaluate 7962/82 - 1572/16113.
97
What is ((-7)/3 - -1)*(-365)/((-2555000)/840)?
-4/25
-155 + (-2358)/(-18) + 65
41
Evaluate ((-48)/(-14688)*54)/((-9)/24*-2).
4/17
What is the value of (27/91 - 1/7) + (-6222)/221 + 20?
-8
What is 312/80 + 4 + 21/(-70) - 6?
8/5
What is 107882/2004 + (-12)/(360/25)?
53
What is 497/(-588)*4 + ((-144)/(-108))/((-14)/3)?
-11/3
What is (91/364*1984)/4?
124
What is (-3 - 1)*((-30022)/3332 - -9)/(30/21)?
1/35
What is the value of 5980/(-805)*7 + -34?
-86
Calculate (20/(-4) - (60/(-3) - -18))/((-3)/14).
14
5/(-100) + (-6)/(-60) + (-111)/444
-1/5
What is the value of 4/35*((-95)/10 + -2 - 1683/(-153))?
-2/35
What is 17578/329 - (-88)/56?
55
What is the value of (1 - 1022/(-42))*(-60)/(-40)?
38
Calculate (-105643)/1246 - -85 - (-3 - 89/(-14)).
-22/7
What is the value of ((-3036)/(-322))/((-8)/(-28))?
33
What is the value of (-11)/(-1) + (-9)/((-324)/(-588))?
-16/3
What is the value of (((-6)/35)/(1056/924))/(24/(-10))?
1/16
68 - 63745/4675*5
-3/17
What is the value of 14 + -5 - 6 - (0/(-53) - 13/(-5))?
2/5
(-204 - -170) + 6 + 10070/360
-1/36
(23*14/5152)/((-446)/(-28) + -16)
-7/8
Evaluate (-18325)/(-2932) - (-445)/(-68).
-5/17
Evaluate 116 + 3366/(-935)*(5 - 0/5).
98
What is the value of (-6)/(-11)*26367/88689?
6/37
Evaluate (-18)/(-15)*60500/19800*30/(-4).
-55/2
1/2 - (-39)/(-30) - 63*(-396)/29260
1/19
(117343 + -117344)/(2/(-114)*-1)
-57
(-13 + 104 + -4)*35/(-105)
-29
What is (0/2)/(568/(-71))?
0
What is (-66)/24 + ((-14)/((-168)/(-171)) - -13)?
-4
Calculate (-137764)/808*(-172)/1333.
22
Evaluate 4*((-48840)/(-80))/(-111).
-22
What is 230/8 - (-3335)/(-115)?
-1/4
Evaluate (-2 + 1/4)/(1241/(-2482)).
7/2
What is (5/2)/1*329/(-13160)?
-1/16
What is ((-51)/(-544))/(1/28) - (-135)/(-54)?
1/8
What is 124/(-2015)*(1 + (-13)/8)*-2?
-1/13
Evaluate 572/(-2508)*39 + 12/(-114).
-9
455/7 - (-4704)/(-48)
-33
Calculate (-58 + (-11120)/(-200))*1225/28.
-105
What is 192/6 + (73 - 106)?
-1
33 + (-285012)/9936 + (-17)/4
3/46
Calculate ((-45)/(45/(-2)))/(18/(-423)).
-47
Calculate 2 + (-14252)/124*1 - 444/6882.
-113
-98 + 0 - (-1318585)/14570
-15/2
What is 74/(-14) + (10/4)/(31 - (-4183)/(-188))?
-5
What is the value of ((-9516)/312 + 29)/((-133)/130 - -1)?
65
What is ((-48)/(-1) - (47 - 50)) + -177 + 162?
36
What is the value of (-22848)/26112 - 834/16?
-53
What is (-8748)/(-1728)*16 - 111?
-30
What is (3/(-4))/((8/(-100))/(768/(-432)))?
-50/3
What is the value of (-4)/15 - (-346983)/(-4095) - -21?
-64
Calculate (-5 + 1)/76 - (-18 - 8820/(-285)).
-13
Evaluate (18/(-3) + -4)*(-108)/(-1620).
-2/3
(275/130 - 2)/(255/170)
1/13
((-527)/(-11067))/(((-6)/(-56))/3)*-42
-56
(-2176)/39168 - (-1 + (-759)/54)
15
What is -39 - (64 - (-8400)/(-48))?
72
What is the value of 96208/108234*((-58)/20 + 2)?
-4/5
What is -21 - ((-14 - -30) + -42 - -5)?
0
What is (-5 - (-31 + 7 - -6)) + 38 + -1?
50
Calculate 104/1300*125 + (-51 - 3*(0 + -1)).
-38
What is (14/(-6))/((-1061)/19098)?
42
Calculate 27 + 9/((-36)/(-68)).
44
What is (3/(-72) - 4/12)*(40 - 9416/132)?
47/4
What is -562 + 555 + 20/3?
-1/3
What is the value of 1518/6831 + (-428)/(-18)?
24
What is 27 - (-35 - 0 - (-406 - -304))?
-40
What is the value of 2420/770 + 72/(-63)?
2
What is (1*(-15)/105)/(-1) - (-942)/21?
45
Evaluate -20*(20/(-6) + 11521/246 + -44).
10
What is the value of (-6*2/(-15))/(206/(-3090)*-46)?
6/23
Calculate (-30)/(-147)*3367/2405.
2/7
What is the value of (-3 - 380/(-124))/((18/30)/(72/80))?
3/31
Calculate 37 + 26909/2130*-3.
-9/10
3*-9 + (-4176)/(-72)
31
What is the value of 90*(966/1127 + (-74)/70)?
-18
What is the value of 1*11 - (136 - 46)/45*125/(-5)?
61
Evaluate (((-3780)/456)/21)/((-1692)/(-5358)).
-5/4
What is ((-2425)/75 - -11) + 21?
-1/3
Evaluate 1360/(-2)*(-426)/3408.
85
What is ((-49152)/(-112))/(-24) + 2*4/28?
-18
Evaluate (-4)/51*((225 - 321) + 90).
8/17
Evaluate 122166/13662 - 24/(-414).
9
What is (2796 - 2781) + (-9)/6*(-17)/(-3)?
13/2
Evaluate (12/20)/(26/(-2496)*18).
-16/5
What is the value of 5215/(-475) - ((3570/(-867))/35 + (-185)/17)?
2/95
What is the value of 456228/75348 - 9/(-39)?
44/7
What is (-42)/(-1470)*(-48 - -23)?
-5/7
Evaluate (-680)/(-7) - ((-233)/(-3262))/(2/4).
97
Evaluate (-6)/9 + (-146)/2774 + 2321/57.
40
Calculate ((-12)/27*-24 + 27/(405/(-165)))*-3.
1
What is the value of (-1977)/(-36) + ((-12)/21 - 3/((-252)/55))?
55
What is the value of ((-10838907)/98715)/(18/10)?
-61
What is the value of ((-2360)/(-1770))/(295/(-1020) + (-2)/(-8))?
-34
21/(-15) + -3 + (-6026)/(-1380)
-1/30
What is (-264)/(-900)*45/(-4455)*-180?
8/15
Calculate (-9*4/(-378))/((-70)/980) - (-2)/(-3).
-2
10845/103950 + 31/(-7161)
1/10
(-17)/(-119) + (-321 | {
"pile_set_name": "DM Mathematics"
} |
ng order.
-4, a, 2/3
Let w(c) = c - 5. Let p be w(8). Sort -4, 2, p.
-4, 2, p
Suppose -2*k + 3 = -3. Let n be (-3 - -3) + (-5)/(-1). Suppose 0*d - 3*d + 3 = 0. Sort d, n, k in ascending order.
d, k, n
Let z be (-3)/(-9) - 38/6. Let c = z + 6. Sort -2, -3, c in increasing order.
-3, -2, c
Suppose -5 + 20 = -3*i. Let t(o) = 3*o + 2*o - o**2 - 3 - o. Let c be t(3). Put -4, c, i in descending order.
c, -4, i
Let q = -1.895 + -0.105. Let z = -2 + 2. Sort 2, q, z.
q, z, 2
Let n = 103/9 + -11. Let q = -13/3 - -9/2. Sort 0.2, q, n in ascending order.
q, 0.2, n
Let o be (-22)/(-143) + 33/39. Sort o, 2/5, 5, 0.3 in decreasing order.
5, o, 2/5, 0.3
Let x(b) = 3 + 2*b - 2*b + b + 0. Let g be x(-4). Let v be 0 + (2 - (-22)/(-10)). Put g, v, 2 in decreasing order.
2, v, g
Let a = 0.44 - 0.5. Let n = a - 0.24. Let h(x) = -x**2 - 7*x - 11. Let j be h(-2). Sort 5, n, j in descending order.
5, n, j
Let p = 29 + -28.7. Put 1/3, -26, p, -1 in decreasing order.
1/3, p, -1, -26
Suppose 5*n + 24 = 2*w, n = -3*w - 0 + 2. Put 5, w, 4 in increasing order.
w, 4, 5
Let l(p) = -12*p - 1. Let b be l(0). Put b, 4, -5 in descending order.
4, b, -5
Let y = 18.1 + -21. Let f = -0.9 - y. Put f, 0.4, 2/9 in descending order.
f, 0.4, 2/9
Let m(i) = -2*i + 14. Let d be m(7). Suppose -10*r - 8 = -8*r. Let n be (4/(-6))/(2/3). Put d, n, r in increasing order.
r, n, d
Suppose 0 = -2*p + 6*p. Let l be (-3)/(-6)*-6 + p. Put 5, 2, l in descending order.
5, 2, l
Suppose 3 = -5*c - 2. Let s = -24/5 + 21/5. Put s, 1, c in decreasing order.
1, s, c
Let r = 39 - 42. Let m be -1*-1*(-2)/6. Sort r, -0.3, m in decreasing order.
-0.3, m, r
Let w = -0.06 + -0.04. Let q = -15 + 10. Put w, 2/9, q in ascending order.
q, w, 2/9
Let l be (-25)/(-9) - 6/(-27). Suppose 1 = -s + l. Sort -3, s, 4.
-3, s, 4
Suppose -4*z - 5 - 15 = 0. Suppose 5*r = 1 - 16. Suppose -5*o + 5 + 5 = 0. Put z, o, r in increasing order.
z, r, o
Suppose -4*a = -120 - 0. Suppose -33 - a = -3*w. Let f be w/(-9) - (-3 - -1). Put 0.5, 0.3, f in increasing order.
f, 0.3, 0.5
Let m = -71 + 66. Sort -5/3, m, -4.
m, -4, -5/3
Let x be (-2)/(-4)*(-8)/26. Let s be (-7 + 6)/((-1)/(-1))*0. Put -3, x, s in decreasing order.
s, x, -3
Let n = 13 - 9. Suppose -n*q = -17 + 5. Suppose -4*j - 10 = -4*g + 22, 2*g = -3*j - 4. Sort q, g, -2 in increasing order.
-2, q, g
Let r = 8 - 11. Suppose -32 = -4*k + 5*t, 8 = -4*k - 0*k - 5*t. Put r, k, -1 in increasing order.
r, -1, k
Let n = -17 + 16.87. Let z = -0.63 - n. Put 5, z, -0.4 in ascending order.
z, -0.4, 5
Let z be (-8)/(-36) + 43/9. Suppose -3*p = 5*b + 2*p - 35, -2*b = 5*p - 23. Put 1, z, b in decreasing order.
z, b, 1
Let h be (1 + -1 - 1)*0/3. Let j be 5/4*2/10. Put j, h, 9 in decreasing order.
9, j, h
Let f = -98/3 + 32. Sort -7/4, -1/10, f, 4 in decreasing order.
4, -1/10, f, -7/4
Let q = 1 - 11. Let h = -14 - q. Sort -1, -2/7, h in decreasing order.
-2/7, -1, h
Let h = -11 + 21. Let k(q) = 2*q - 7 - 3*q + 2*q. Let i be k(h). Sort 3/2, 2/7, i.
2/7, 3/2, i
Suppose -s - s + 2 = 0. Suppose -4*m + 12 = 4. Suppose 0 = -4*o - m*i + 20, 5*o - 11 = 2*i + 14. Put s, o, 4 in ascending order.
s, 4, o
Let l = 2.02 - 0.02. Let z = 0.9 + -1. Let k = -134/3 - -45. Sort z, k, l in decreasing order.
l, k, z
Let z = -74 + 68. Put 2, 1/6, z, -3 in increasing order.
z, -3, 1/6, 2
Suppose 0 = -2*f - 4. Sort 5, -4, f in descending order.
5, f, -4
Let s be 5/2 - 0/(-11). Let z = 0.06 + 0.14. Sort z, s, -0.3 in descending order.
s, z, -0.3
Suppose 2*o = -0*o + 8. Let b = -3.89 - 0.11. Let l = b - -9. Sort o, -2/3, l in increasing order.
-2/3, o, l
Let w = 14 + -16. Put 0, w, 3 in ascending order.
w, 0, 3
Let i(a) = -3*a - 1. Let m be i(3). Let n = m + 5. Let h = -7 - n. Put h, 4, 3 in decreasing order.
4, 3, h
Suppose 2*y - 2 = -3*w + 7, 2*w - 11 = -3*y. Put w, -2/5, -4, -0.01 in descending order.
w, -0.01, -2/5, -4
Let j = -15 + 14. Suppose -5*v + 25 = -5*o, 3*o - 2 + 11 = -3*v. Put j, 1, o in descending order.
1, j, o
Let j be -4*13/10*5. Let b = j + 36. Suppose -3*m = -q + 2*q - 2, 0 = -2*q + b. Sort -0.3, m, 4 in descending order.
4, -0.3, m
Let c = 4 - 6. Let r = -7 - c. Let s(o) = 2*o**3 - 4*o**2 + 3*o - 1. Let w be s(2). Put w, 3, r in decreasing order.
w, 3, r
Let q(v) = -v**3 - 4*v**2 + v + 2. Let y be q(-4). Let l be -5*3/((-15)/y). Sort l, -5, -4 in increasing order.
-5, -4, l
Let f = 51.2 + -58. Let d = 7 + f. Sort 3, 0.3, d.
d, 0.3, 3
Let x(w) = w**2 + 4*w - 7. Let g be x(-5). Suppose -19 = -5*h + 2*j, -h + 7 = -2*h + 4*j. Put 2, h, g in descending order.
h, 2, g
Let u = -0.1 + -0.9. Let v = u - 2. Let n = 4 + 1. Put v, 3, n in increasing order.
v, 3, n
Let s be -4 - (-4 - (-5 + 3)). Sort s, 2/7, 0.5 in increasing order.
s, 2/7, 0.5
Let n = -9.8 - -8.8. Sort 2, n, 2/13, -1/5 in descending order.
2, 2/13, -1/5, n
Let d = 1 + 3. Suppose 0 = -d*a - 31 + 95. Suppose 0 = a*n - 11*n + 20. Sort 5, 1, n in increasing order.
n, 1, 5
Let v = -99 - -70. Let u = -23 - v. Put u, 2, 4 in increasing order.
2, 4, u
Let o = 8 - 10. Let j be 5 + -7 + 2/o. Put 2, j, -4 in descending order.
2, j, -4
Let d be (1/2)/(3/36). Suppose 3*k = -i - 2*i - 9, -3*i + d = -2*k. Sort i, -3, 1 in decreasing order.
1, i, -3
Let n = -0.96 - 0.04. Let h = -5 - n. Let t = -0.2 - 0.3. Put h, t, 5/3 in decreasing order.
5/3, t, h
Let z = 5 + -3. Let y be 4 - (-2 - -1*10 - 0). Sort z, 3, y in increasing order.
y, z, 3
Let d be (2/1)/(0 - -1). Sort -2, 11, d in descending order.
11, d, -2
Let j be 3 - (-23)/(-6) - -1. Put -5/3, -2, j in descending order.
j, -5/3, -2
Let x be (-12)/(-18) - 60/63. Sort -0.3, -5, x in increasing order.
-5, -0.3, x
Suppose 3*h + 144 - 6 = 0. Let v = -185/4 - h. Put v, 1, -0.2 in ascending order.
v, -0.2, 1
Suppose -4*x + 0*x + 2*v + 16 = 0, -2 = 2*x + 4*v. Put -5, x, 1 in descending order.
x, 1, -5
Let b(n) = n**2 + 3*n - 5. Let m be b(-3). Let p = 8 + m. Let z(o) = -o**3 + 4*o**2 - 2*o - 4. Let d be z(3). Put d, -3, p in descending order.
p, d, -3
Suppose -4*q + 4*a + 24 = 0, -2*a + 14 = 5*q + a. Suppose 3*r - q*r - w = 2, -5*w = -2*r - 18. Sort -3, r, -1.
r, -3, -1
Let z = -2 + 0. Put -1, z, 0 in decreasing order.
0, -1, z
Let v = 125666/77 - 1632. Let o = v + 69/308. Sort 5, o, 0.2 in decreasing order.
5, o, 0.2
Let h be 4 - 1 - (-1 - -1). Suppose 3*k = 2*k. Let i be (-1)/(-1*2/(-8)). Sort h, i, k.
i, k, h
Suppose -2*x + 5*y - 3 = 0, 0 = -2*y - y + 9. Let r be (6/(-9))/(1/x). Put r, -0.3, 1/2 in ascending order.
r, -0.3, 1/2
Suppose 2*k = -3*s - 2*k + 4, -4*s = -2*k + 2. Let u be (4/5)/(2/5). Put s, u, 1 in decreasing order.
u, 1, s
Let b = 19 - 13. Put 5, b, 3 in descending order.
b, 5, 3
Suppose 4*l = -2*l + 30. Sort 4, l, 1 in descending order.
l, 4, 1
Suppose 5*y - 3*y = -4*y. Sort 5, 4, y.
y, 4, 5
Let b(m) = -3*m + 4. Let d be b(0). Sort d, 1, 5.
1, d, 5
Let s(i) = i**2 + 13*i - 3. Let p be s(-13). Put p, -15, 2 in increasing order.
-15, p, 2
Suppose 3*q - 4*h + 108 = -2*q, 8 = 4*h. Let x be 2/(-2) - q/28. Sort x, 0.4, -4.
-4, x, 0.4
Let r = 2 + 2. Suppose -5*j = 5*f - 0*f + 5, 0 = -4*j - 5*f - 8. Suppose -4*z + 5*y = 29, 0*z + j*z + 23 = 4*y. Put 3, r, z in increasing order.
z, 3, r
Let j = -292/7 - -42. Let k(y) = 2*y**2 + y + 1. Let v be k(-2). Let u = 4 - v. Put -2, u, j in descending order.
j, -2, u
Let b = 16 + -12. Let y = -8 + b. Put y, 0, 1 in ascending order.
y, 0, 1
Suppose 4*m - 8 = -2*t, 3*t + 4 = -t + 2*m. Put -2/7, 1/6, t in descending order.
1/6, t, -2/7
Let l = 6 + -4. Suppose 4*k - 2*k + 5*n = 0, 15 = 5*k + 5*n. Let p be (-7)/(-5) - 4/10. Put k, p, l in decreasing order.
k, l, p
Let q = -53/141 - -2/47. Put 4, -1/2, q in decreasing order.
4, q, -1/2
Suppose k = 2*w - 1, -2*w - 5*k - 2 + 33 = 0. Suppose -3*r - 2 = 4*x, -4*x - 5*r + 2 = 8. Sort x, w, -3 in decreasing order.
w, x, -3
Let m = -2.7 - -1.5. Sort -0.1, m, 1/4 in increasing order.
m, -0.1, 1/4
Let k = -0.9 + 2.6. Let u = -1.98 + -0.02. Let l = k + u. Sort -5/4, -0.2, l in descending order.
-0.2, l, -5/4
Let j(w) = -2*w**2 + 22*w - 1. Let k be j(11). Suppose 4*d + 4*r = -16, -5*r - 13 = 3*d + 1. Sort d, k, 2.
d, k, 2
Let f = 24 - 19. Put 1, -5, f in ascending order.
-5, 1, f
Let l = -3 + 5. Suppose -2*k = 5*f - 26, 2*k - 26 = -4*f - 0*f. Let m = k - 8. Put m, l, -4 in decreasing order.
m, l, -4
Suppose 7*t = 6*t + 1. Sort t, -1, | {
"pile_set_name": "DM Mathematics"
} |
0?
-4997
What is next in 33746, 134973, 303684, 539879, 843558, 1214721?
1653368
What comes next: 7, -355, -1477, -3737, -7513, -13183, -21125, -31717?
-45337
What is next in 11177, 11172, 11151, 11108, 11037?
10932
What comes next: 16445, 32872, 49293, 65708, 82117, 98520?
114917
What is next in 1628, 6393, 14334, 25451, 39744, 57213?
77858
What comes next: 111151, 111153, 111155, 111157, 111159?
111161
What is next in -5, -8, 21, 82, 175, 300?
457
What is next in -641, -1579, -2515, -3449, -4381?
-5311
What is the next term in -191834, -383672, -575500, -767312, -959102, -1150864, -1342592, -1534280?
-1725922
What is next in 5759, 23014, 51769, 92024?
143779
What is the next term in 1376, 10828, 36418, 86216, 168292, 290716, 461558?
688888
What is the next term in -65, -121, -183, -251, -325?
-405
What comes next: -861, -7322, -24859, -59010, -115313?
-199306
What is the next term in 18508, 18490, 18472, 18454, 18436, 18418?
18400
What is the next term in -211333, -845310, -1901939, -3381220, -5283153, -7607738?
-10354975
What comes next: -1344, -2843, -4338, -5829?
-7316
What comes next: -28251, -56619, -84987, -113355?
-141723
What is next in 21848, 43706, 65564, 87422, 109280, 131138?
152996
What comes next: -382, -908, -1428, -1942?
-2450
What comes next: -411, -396, -379, -360, -339, -316, -291?
-264
What is next in 240, 354, 468?
582
What is next in 3971, 7547, 11121, 14693, 18263?
21831
What is next in -149, -260, -553, -1118, -2045, -3424?
-5345
What comes next: 17869, 17902, 17935?
17968
What is next in -1169, -1200, -1231, -1262, -1293?
-1324
What is the next term in 30992, 30986, 30980, 30974?
30968
What comes next: 576, 521, 434, 321, 188?
41
What is next in -19777, -19790, -19813, -19852, -19913, -20002?
-20125
What is the next term in 38, 153, 372, 719, 1218, 1893?
2768
What is the next term in 20020, 20021, 20022, 20023, 20024, 20025?
20026
What is the next term in -2650, -2643, -2632, -2617, -2598, -2575?
-2548
What is the next term in -2280, -9108, -20486, -36414, -56892, -81920?
-111498
What is next in 258, 390, 598, 888, 1266, 1738, 2310?
2988
What comes next: -54552, -54530, -54494, -54438, -54356?
-54242
What is the next term in 9530, 19134, 28748, 38378, 48030, 57710, 67424, 77178?
86978
What is next in 75, -256, -1151, -2892, -5761, -10040, -16011?
-23956
What is next in 34486, 68969, 103454, 137941, 172430, 206921?
241414
What is next in -4647, -18462, -41487, -73722, -115167, -165822?
-225687
What is next in 6031, 11973, 17915, 23857, 29799, 35741?
41683
What is the next term in 166789, 333581, 500373?
667165
What is next in 10995, 21988, 32971, 43938, 54883?
65800
What is next in 468, 461, 446, 423, 392, 353, 306?
251
What is next in 336, 681, 1028, 1377, 1728?
2081
What is next in 496, 1919, 4296, 7627?
11912
What comes next: -10702, -10708, -10714, -10720?
-10726
What comes next: 9994, 19985, 29970, 39943, 49898?
59829
What is next in 428, 452, 476?
500
What is next in -980, -1011, -1060, -1127?
-1212
What is the next term in -286372, -572744, -859116, -1145488, -1431860, -1718232?
-2004604
What comes next: 1822, 2143, 2464?
2785
What comes next: -5412, -21673, -48784, -86745, -135556?
-195217
What comes next: -15325, -30651, -45977, -61303, -76629?
-91955
What is the next term in -2334, -2327, -2310, -2277, -2222, -2139, -2022?
-1865
What is the next term in -41, 1, 73, 175?
307
What is next in -54005, -108008, -162011, -216014?
-270017
What is next in -14402, -28803, -43204, -57605?
-72006
What comes next: 442, 3564, 12036, 28534, 55734, 96312?
152944
What comes next: 23, 43, -59, -343, -869, -1697, -2887?
-4499
What is the next term in 3946812, 3946810, 3946808, 3946806?
3946804
What is next in 190, 409, 632, 859, 1090?
1325
What is the next term in 31, -72, -207, -392, -645, -984, -1427?
-1992
What is the next term in 124, 111, -62, -395, -888, -1541, -2354?
-3327
What comes next: -65862, -131769, -197676, -263583?
-329490
What comes next: -43777, -87551, -131321, -175087, -218849, -262607?
-306361
What is the next term in 7819, 7824, 7825, 7822, 7815, 7804?
7789
What is the next term in -1227, -3836, -8185, -14274, -22103, -31672?
-42981
What comes next: 256, 429, 530, 577, 588, 581, 574?
585
What comes next: 2192, 2180, 2170, 2162?
2156
What comes next: -2246, -8598, -19060, -33638, -52338?
-75166
What is next in 4506, 8999, 13480, 17949, 22406, 26851, 31284?
35705
What is next in -2171, -4313, -6455, -8597, -10739, -12881?
-15023
What comes next: 20540, 20617, 20694, 20771, 20848, 20925?
21002
What is next in -2324, -2515, -2706, -2897, -3088?
-3279
What comes next: -122916, -122915, -122914?
-122913
What is the next term in -555986, -555983, -555980?
-555977
What is next in -418, -504, -736, -1186, -1926, -3028, -4564, -6606?
-9226
What is the next term in 117, 507, 899, 1293, 1689, 2087, 2487?
2889
What is the next term in -379901, -759809, -1139721, -1519637, -1899557, -2279481?
-2659409
What is next in 709, 2900, 6551, 11662, 18233, 26264?
35755
What comes next: -51278, -102470, -153662, -204854, -256046, -307238?
-358430
What is next in 1043, 1569, 2439, 3647, 5187, 7053, 9239?
11739
What comes next: 718549, 718548, 718547, 718546, 718545?
718544
What is the next term in -93, 77, 369, 783, 1319?
1977
What comes next: 91, 115, 155, 217, 307, 431, 595, 805?
1067
What is next in -2939, -2950, -2975, -3020, -3091, -3194?
-3335
What comes next: -22731, -22669, -22607, -22545, -22483, -22421?
-22359
What is the next term in -7158, -7160, -7162, -7164, -7166?
-7168
What is the next term in -67446, -67449, -67454, -67461, -67470, -67481, -67494?
-67509
What is next in 81, 505, 1659, 3909, 7621, 13161, 20895, 31189?
44409
What is next in 26873, 53729, 80585, 107441, 134297, 161153?
188009
What is the next term in 3395, 3397, 3399, 3401, 3403?
3405
What is next in -179, -202, -239, -290, -355, -434?
-527
What is the next term in -326, -1578, -2808, -4004, -5154, -6246?
-7268
What comes next: 213, 205, 209, 237, 301, 413, 585, 829?
1157
What comes next: 517601, 1035198, 1552795?
2070392
What is the next term in 5542, 11089, 16636, 22183?
27730
What is the next term in -732, -1455, -2178?
-2901
What comes next: -59733, -119476, -179225, -238980, -298741, -358508, -418281?
-478060
What is the next term in -228, -147, 96, 585, 1404, 2637, 4368, 6681?
9660
What comes next: -3986, -15732, -35316, -62744, -98022?
-141156
What is the next term in -3549, -2835, -1645, 21, 2163, 4781?
7875
What comes next: 12, -820, -2204, -4140?
-6628
What is the next term in 2105, 8299, 18583, 32957, 51421?
73975
What is next in 9446, 18895, 28342, 37787, 47230, 56671, 66110?
75547
What is next in 588, 1234, 1926, 2664, 3448, 4278, 5154?
6076
What is the next term in 92449, 92446, 92441, 92434, 92425?
92414
What comes next: 89, 110, 183, 338, 605, 1014?
1595
What is the next term in -47, -119, -197, -281, -371, -467, -569?
-677
What is next in 4504, 4495, 4472, 4429, 4360, 4259?
4120
What is the next term in 935, 635, 135, -565?
-1465
What is the next term in -1559, -3092, -4627, -6164, -7703?
-9244
What is next in -2693, -5405, -8103, -10781, -13433, -16053, -18635?
-21173
What comes next: 280, 1066, 2374, 4204, 6556?
9430
What comes next: 456, 1724, 3786, 6600, 10124, 14316?
19134
What is next in -4807, -9617, -14427, -19237, -24047, -28857?
-33667
What is the next term in 21, 25, 29, 33, 37, 41?
45
What is next in 346, 349, 356, 367, 382, 401, 424?
451
What comes next: 2850, 2851, 2852?
2853
What is next in -1199, -1324, -1453, -1586?
-1723
What is next in 686, 912, 1286, 1808?
2478
What is the next term in 8665, 8660, 8653, 8644, 8633, 8620?
8605
What comes next: -12464, -12466, -12470, -12476?
-12484
What is next in 3478, 6956, 10418, 13864, 17294, 20708, 24106?
27488
What is the next term in 334, 351, 362, 355, 318, 239, 106?
-93
What is next in -216, -1657, -5570, -13191, -25756, -44501?
-70662
What is the next term in 48652, 97305, 145958, 194611?
243264
What is next in -16330, -32653, -48976?
-65299
What is the next term in -164, -204, -264, -344, -444, -564?
-704
What is next in -12400, -12383, -12366, -12349, -12332?
-12315
What comes next: -158590, -317177, -475748, -634297, -792818?
-951305
What comes next: -154, -838, | {
"pile_set_name": "DM Mathematics"
} |
-3, 3*p = 8*p - 4*d - 6 for p.
2
Solve 4*h - 6*v = -3*v - 2, 5*h - 7 = -v for h.
1
Solve 2*r - t - 24 = 3*t, 2*r - 3 = -3*t for r.
6
Solve 2*d - 4*q - 10 = -16, -5*d + 33 = 2*q for d.
5
Solve 5*d + 3 = -0*d + w, 4*w = -5*d - 13 for d.
-1
Solve m - u = 2, 4 = 2*m - 3*u - 4 for m.
-2
Solve 3*w + 31 = -4*a, 33*a = -3*w + 34*a - 11 for w.
-5
Solve -5*r = -3*h - 21, h - 5 = r + 5*h for r.
3
Solve 0*u - 3*z = 2*u + 2, u + 1 = -4*z for u.
-1
Solve 0 = j + u + 4, j - 16 = 5*u - u for j.
0
Solve t = 2*s + 6, -5*t - 3*s = 6 + 16 for t.
-2
Solve 3*b - 2*k = k, 0 = -4*b - 4*k for b.
0
Solve -b - 1 = 0, -5*h = 2*b - 29 + 6 for h.
5
Solve -4*o - 3*c = c - 28, -o + 3*c = 13 for o.
2
Solve 10*d + 16 = 6*d, 0 = o + 5*d + 16 for o.
4
Solve -y - 6*f + 9*f = 1, f = -3*y - 3 for y.
-1
Solve 4*j + 17 = -389*o + 386*o, -j = -o + 6 for o.
1
Solve 5*y + 0*f + 5 = f, -f - 1 = -2*y for y.
-2
Solve s + 96*q = 94*q + 12, -16 = 2*s - 6*q for s.
4
Solve 0 = -4*w - 4*s - 0 - 28, -4*w = s + 19 for w.
-4
Solve -f + 29*y = 26*y + 11, 5*f + 3*y = 35 for f.
4
Solve 31 = -3*i - 2*p + 6*p, 0 = -3*i + 2*p - 23 for i.
-5
Solve 0 = 2*d + r - 2, 3*d + 2*r = 2*d + 4 for d.
0
Solve -4*i + 12 = 2*n, 2*n + 15 = -n + 5*i for n.
0
Solve -3*q = -2*q - 3*u - 10, -4*q - 28 = 5*u for q.
-2
Solve 2*t = -m + 8, t + 12 = 4*t + 2*m for t.
4
Solve 10*z + 10 = 5*c + 9*z, 0 = -4*c - 4*z + 8 for c.
2
Solve -7*a + 2*a + h - 21 = 0, 5*a = -5*h - 45 for a.
-5
Solve 0 = 5*n + 13*g - 8*g - 15, g - 13 = 4*n for n.
-2
Solve 4*s - 11 = -2*u - 35, -3*s = -2*u + 25 for s.
-7
Solve 3*r + 3*p + 24 = 0, 13*p = 4*r + 9*p for r.
-4
Solve 0 = 2*z + 18 - 24, -5*z + 15 = -2*p for p.
0
Solve 2*p - t = 0, -5*p + 9 = 100*t - 98*t for p.
1
Solve 4*t - 2*t - 11 = x, 5*t + 2*x = 23 for t.
5
Solve -5*o - 3*b = 0, 5*o = 2*o + b for o.
0
Solve 5 = o + 5*i, 10 = 2*o - 4*i + 6*i for o.
5
Solve -28*c + 23*c + v = 1, -5*c - 5*v - 25 = 0 for c.
-1
Solve -f = 4*j - 2*f - 7, 0 = -4*j + 4*f + 4 for j.
2
Solve 2*u = b - 4*b - 9, 16 = -4*u - 4*b for u.
-3
Solve 0 = -x + h - 1, -3*h = -3*x + 6*x - 15 for x.
2
Solve -p + 10*k - 9*k - 3 = 0, -p - 12 = -4*k for p.
0
Solve 5*v - 3*r = 3, v - r - 2 + 1 = 0 for v.
0
Solve -3*k - 2*k - 11 = -n, 5*k + 13 = 3*n for n.
1
Solve -9*f - 2*m - 14 = -14*f, -6 = f + 4*m for f.
2
Solve 2*v = 2*x + 8 - 0, 2*x = 2 for v.
5
Solve -5*k = 4*q - 98 + 107, -3*k = -5*q - 2 for k.
-1
Solve -3*s + 3*d - 6 = 0, -4*d = 66*s - 63*s - 8 for s.
0
Solve 5*r + 3 = -2*a - 1, -5*r - 4*a = 8 for r.
0
Solve -2*b = 0, -3*l + 61*b - 58*b = -9 for l.
3
Solve 5*c + 4*t + 24 = 0, 13*c - 9*c - 4*t = -12 for c.
-4
Solve 2*d = -2*w + 4, -6 = -2*w + 19*d - 22*d for w.
0
Solve -5*j = 4*t - 45, 0 = 6*j - 2*j - 4*t for j.
5
Solve -2*q + 4*c + 14 = 8*c, -4*c = -q - 5 for q.
3
Solve 27 = -2*s + 5*y, 17 - 42 = -5*y for s.
-1
Solve -5*f = -4*d + 24, -31*d + 35*d + 3*f + 8 = 0 for d.
1
Solve -4*o = 4*x + 8, 5*x + 2*o - 7 = -2 for x.
3
Solve r + 5 = -4*a, 10 - 9 = r - 2*a for r.
-1
Solve q = -2*m - 12, -18 + 2 = -2*q + 4*m for q.
-2
Solve 0 = 7*g - 2*g - t + 28, -3*t + 34 = -5*g for g.
-5
Solve -5*m + 3*n = 23, m + 6*n - 4*n + 2 = 0 for m.
-4
Solve 0 = -5*o - 3*r + 5 - 22, -5*r - 11 = 4*o for o.
-4
Solve 3*u = 2*u + 3*h + 11, u - 4*h - 15 = 0 for u.
-1
Solve -5*v + 18*r = 15*r - 2, -3*v = -3*r - 6 for v.
-2
Solve 3*l - 5*y = -4*y + 10, 2*y + 12 = 4*l for l.
4
Solve 0 = 4*o - 0*s - s - 3, -2*s = -3*o + 6 for o.
0
Solve 4*s = -5*k - 12, -5*k + s - 28 = -3*s for k.
-4
Solve 4*b - 5*w = -9, b - 1 = 4*w - 17 for b.
4
Solve -z + 2 = 0, -3*m + 3*z = -2*m + 7 for m.
-1
Solve 0 = -4*t - 12, 5*v + 1 = -0*t + 3*t for v.
-2
Solve -2*d = 2*m + 2*d + 16, 20 = -5*d for m.
0
Solve 0 = -t - 5*l - 17, 2*t + 4*l + 2 = -14 for t.
-2
Solve -3*l + o = 7, -6*l + 11*l - 4*o = 0 for l.
-4
Solve y + 13 = -d + 5, 0 = -5*y - 30 for d.
-2
Solve 3*r - 4 = -4*g - 3, -11*g - 10 = 4*r for r.
3
Solve f - 3 = -0*w + w, -3*w - 3*f = 3 for w.
-2
Solve -3*n - 3*v + 9 = 3, 2*n - v + 5 = 0 for n.
-1
Solve 3*z - z + 15 = -5*i, -i - z = 0 for i.
-5
Solve -4*v - 4*z - 13 = -25, 5*z + 15 = v for v.
5
Solve -3*c + 2*w = -7, -56*c = -51*c - w for c.
-1
Solve 2*j + 1 + 7 = 4*v, -3*v - j + 6 = 0 for v.
2
Solve 0 = -3*o + 2*v - 12, 19*o = 21*o + 3*v - 5 for o.
-2
Solve -o = -0*u - 3*u - 2, -2*o - 16 = 4*u for u.
-2
Solve 2*i + 0 + 2 = -2*h, 4*h = 2*i - 16 for i.
2
Solve 3*u - 6 = 0, -3*l + 2*l - 2 = u for l.
-4
Solve 3*j + 3*a - 21 = 0, -8 = -4*a + 12 for j.
2
Solve 2*y = -5*r - 10, -20 = 2*r + 3*r for y.
5
Solve -5*d - 2*x - 5 - 5 = 0, 0 = -3*d + 3*x - 27 for d.
-4
Solve -25 + 16 = 3*d + 3*p, 4*d + 3*p = -12 for d.
-3
Solve 5*z + 23*h - 28*h = 0, 3*z - h = -2 for z.
-1
Solve -9*m = -2*i - 13*m, -i = -4*m - 6 for i.
2
Solve 4*r - 42 = -w - 34, -3*w + 4*r + 8 = 0 for w.
4
Solve -h - 2 - 12 = 5*z, 4 = -2*z - 2*h for z.
-3
Solve -5*f = -4*v - 4*f + 4, 2*v = 5*f - 16 for v.
2
Solve 2*g + 2*a = -18, -2*g = -5*g + a - 11 for g.
-5
Solve 0*s - 3*s - 6 = -3*t, -4*t = s - 13 for t.
3
Solve 6 = 3*k + 189*d - 192*d, 0 = k - 4*d - 14 for k.
-2
Solve 4*q - m - 4 = 5*q, -3*m - 12 = 0 for q.
0
Solve v - 4*j = -8, 4*v - 3*j + 7 = -12 for v.
-4
Solve 4*d - 6 = m, 0*m = 3*m + 5*d + 1 for m.
-2
Solve 0 = -5*n - 2*y - 15, -3*y - 5 = 2*n + 2*n for n.
-5
Solve -n - 11 = -5*h - 7, 0 = 4*h - n - 4 for h.
0
Solve 65*z - 8 = -2*v + 64*z, -3*v = -2*z - 5 for v.
3
Solve 5*w - 12*i - 20 = -7*i, -12 = -w + 3*i for w.
0
Solve 27*j - 31*j + 3*y = 5, j - 10 = 3*y for j.
-5
Solve -5*x + 30 = -5*b, -5*x - 4*b + 40 = 37 for x.
3
Solve -3*v - 19 = -2*y, v + 4*y = 4*v + 29 for v.
-3
Solve 5*f = 8*b - 4*b + 20, 5*b - 4*f + 16 = 0 for b.
0
Solve -4*p + x + 7 = 0, 61*x - 3 = p + 56*x for p.
2
Solve 3*u = -3*c + 7*u + 20, -5*u - 40 = 0 for c.
-4
Solve -2*w = 5*u + 23, -2*u + 8 = -4*u - 2*w for u.
-5
Solve u - 2*v = 4*u + 10, -2*u + 4*v + 20 = 0 for u.
0
Solve 0 = -3*x + 4*j + 6 - 2, -x = 3*j + 3 for x.
0
Solve 4*u - 2*f - 17 = 7*u, 4*f + 24 = -4*u for u.
-5
Solve 20*m = 25*m, 6 = -3*y + 4*m for y.
-2
Solve 4*s = -5*t + 9, 0 = 3*t - 18 + 3 for s.
-4
Solve 0 = 3*g - y + 8, -g = -3*g + 4*y - 2 for g.
-3
Solve 0 = 2*a - 4*j + 8, 3 = 3*a - 10*j + 9*j for a.
2
Solve 4*c - 21 = -d, 2*c - 4*c - 3*d = -23 for c.
4
Solve 0 = 4*h - 20, 3*k - 30*h - 2 = -28*h for k.
4
Solve -24 - 1 = -5*u, -3*u + 11 = -2*m for m.
2
Solve -5*r = 5*i + 2 + 8, 5 = 5*r for i.
-3
Solve -5*r + 4*k = 1, 2*k - 3*k = -5*r - 4 for r.
-1
Solve -4*o = -4*t - 4, 2*o - 22 = -28 for t.
-4
Solve 81*p - 4*c + 13 = 82*p, 3*c = -2*p + 16 for p.
5
Solve -w + 2*w = -2*p + 1, -2*w + 6 = 0 for p.
-1
Solve -2*p + 59*v = 54*v + 10, 0 = -p - v - 5 for p.
-5
Solve 42*g - 20 = 47*g - 2*t, -4*g + t = 13 for g.
-2
Solve -3*q = 2*p + 10, 0 = -p + q - 5*q - 10 for p.
-2
Solve b - 4*b + 3*a - 6 = 0, 2*b = -5*a - 18 for b.
-4
Solve 0 = -4*a + 4*b - 24, -2*b - 3 - 10 = 3*a for a.
-5
Solve -3*l + 5*u - 45 = 0, -5*l + 2*l - 4*u + 9 = 0 for l.
-5
Solve -5*y = -10, -5*y + 2 + 4 = -2*k for k.
2
Solve -5*d = 3*f + 28, -5*f + 5*d + 139 - 119 = 0 for f.
-1
Solve 2*r = -3*s - 9, 4*s - 5*r + 5 + 7 = 0 for s.
-3
Solve 6 = -4*o + 5*b, -5*o + 4*b - 37 + 25 = 0 for o.
-4
Solve 0 = -66*u + 70*u + y - 9, 5*u - 2*y - 8 = 0 for u.
2
Solve w = 2, 115*w = -2*y + 112*w for y.
-3
Solve j + 4 = 4*j + 2*d, 3*d = -3*j + 9 for j.
-2
Solve -o + 2 = 3*o + 2*b, -4*o = -b + 13 for o.
-2
Solve 0 = -5*m + 3*y, 5*m - m = -2*y for m.
0
Solve b = 3*i + 1, -8*i = 3*b - 13*i - 7 for b.
4
Solve -5*t - x - 23 = 0, 41*x - 43*x + 2 = -2*t for t.
-4
Solve 19*b = -5*o + 24*b + 5, 5*o = -2*b - 2 for o.
0
Solve -5*p = -7*x + 9*x - 13, 0 = x + 4*p - 11 for x.
-1
Solve 43*u = 42*u + 2, z + u = 0 for z.
-2
Solve v - 2*w + 6 = -9, -w - 5 = 2*v for v.
-5
Solve -608*f - 14 = -612*f - 3*t, 4*t + 8 = 0 for f.
5
Solve 3*i = -3, 0 = 2*g - 6*g + 5*i + 21 for g.
4
Solve -t = -5*i + 22, -10*t + 2 = i - 9*t for i.
4
Solve 0 = -4*b + 5*t - 30, -b + t - 3*t = -12 for b.
0
Solve 4*l - 3*l + 9 = 4*w, -4*w - 6 = 2*l for l.
-5
Solve -6 = 2*k, 2*k - 5 - 4 = 5*n for n.
-3
Solve 0 = -q + l + 10, -2*q = -25*l + 28*l + 5 for q.
5
Solve -3*q = 7*z + 16, -5*q = 3*z - 8*z + 10 for q.
-3
Solve 0*w = 2*i - w - 9, 0 = -2*i - 5*w - 9 for i.
3
Solve t - x - 5 = x, 3*t = -2*x - 17 for t.
-3
Solve -a = -4*c - 19, 31 = -2*c + 21 for a.
-1
Solve -4*q + 2 = 14, -5*g - 4*q | {
"pile_set_name": "DM Mathematics"
} |
m iieiiiiiieeiiii. Give prob of picking 2 i.
22/35
Three letters picked without replacement from juxhu. Give prob of picking 1 u, 1 x, and 1 j.
1/5
Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {t: 1, j: 1, y: 1, n: 1, c: 1}.
1/10
Calculate prob of picking 1 b and 1 t when two letters picked without replacement from tttbattttatbtt.
20/91
What is prob of picking 1 g, 1 h, and 1 i when three letters picked without replacement from {n: 1, h: 2, g: 4, y: 4, i: 8}?
64/969
Two letters picked without replacement from {t: 7, r: 1, o: 5}. Give prob of picking 2 t.
7/26
Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, t: 1, h: 3}.
1/70
What is prob of picking 1 n and 1 f when two letters picked without replacement from {n: 8, q: 1, u: 1, f: 2, d: 4}?
2/15
Calculate prob of picking 1 y, 1 n, and 1 t when three letters picked without replacement from yyidtitcinyct.
9/286
Four letters picked without replacement from izizziziziiizzizzi. What is prob of picking 3 z and 1 i?
21/85
What is prob of picking 2 j when two letters picked without replacement from {b: 6, j: 2}?
1/28
Three letters picked without replacement from pppppppllppppppllppl. What is prob of picking 3 l?
1/114
What is prob of picking 2 f and 2 r when four letters picked without replacement from {r: 6, v: 3, k: 2, f: 5, s: 1}?
15/238
What is prob of picking 1 t and 1 c when two letters picked without replacement from {z: 4, k: 4, o: 2, f: 6, c: 2, t: 1}?
2/171
What is prob of picking 3 w when three letters picked without replacement from wwwwwww?
1
Three letters picked without replacement from hbhhdhhhhhhhhh. Give prob of picking 1 b and 2 h.
33/182
Four letters picked without replacement from xxvxvfvvxvxfv. Give prob of picking 2 f and 2 v.
3/143
Two letters picked without replacement from xbsxxzmmsdsz. Give prob of picking 1 m and 1 d.
1/33
Four letters picked without replacement from {z: 4, r: 14}. What is prob of picking 2 r and 2 z?
91/510
Two letters picked without replacement from umdsskusduudsu. What is prob of picking 1 d and 1 s?
12/91
What is prob of picking 3 e when three letters picked without replacement from ejvejvjje?
1/84
Four letters picked without replacement from bxxxxxxxxbxxx. Give prob of picking 3 x and 1 b.
6/13
Calculate prob of picking 1 o and 2 m when three letters picked without replacement from mmommmmmmom.
24/55
Calculate prob of picking 3 s and 1 l when four letters picked without replacement from sshmshhsmshll.
4/143
What is prob of picking 2 r and 1 t when three letters picked without replacement from ddrrrddt?
3/56
Three letters picked without replacement from {x: 5}. What is prob of picking 3 x?
1
Calculate prob of picking 1 j and 2 z when three letters picked without replacement from {j: 7, z: 3, r: 4}.
3/52
Calculate prob of picking 1 o and 3 i when four letters picked without replacement from {i: 4, z: 3, o: 1, p: 3}.
2/165
Four letters picked without replacement from ttltbjtlttjlblbtlujt. Give prob of picking 3 t and 1 u.
56/4845
Two letters picked without replacement from fuuff. What is prob of picking 2 u?
1/10
What is prob of picking 1 f and 1 i when two letters picked without replacement from {f: 10, i: 2, z: 4}?
1/6
Three letters picked without replacement from vkktkkvtkkkv. What is prob of picking 2 k and 1 t?
21/110
Calculate prob of picking 1 j and 2 a when three letters picked without replacement from zjzebjzjjbzzjazabe.
5/816
Four letters picked without replacement from {z: 2, w: 2, s: 2, g: 2}. What is prob of picking 2 s and 2 g?
1/70
Four letters picked without replacement from {c: 8, n: 2, u: 8}. What is prob of picking 3 u and 1 n?
28/765
Calculate prob of picking 2 b and 1 y when three letters picked without replacement from yybyyyybbbyyyy.
15/91
Calculate prob of picking 3 e when three letters picked without replacement from eedeeeee.
5/8
Calculate prob of picking 1 a, 1 r, and 2 s when four letters picked without replacement from {a: 2, m: 3, s: 3, t: 1, r: 1, y: 2}.
2/165
Two letters picked without replacement from idiu. Give prob of picking 1 i and 1 d.
1/3
Calculate prob of picking 4 r when four letters picked without replacement from {h: 15, r: 4}.
1/3876
Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, f: 13}.
1/40
Four letters picked without replacement from {s: 7}. Give prob of picking 4 s.
1
Two letters picked without replacement from ucisiicccuiciuicscic. Give prob of picking 1 c and 1 s.
8/95
Two letters picked without replacement from kdkkkkkkdk. Give prob of picking 2 d.
1/45
Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {v: 3, d: 1, y: 3}.
3/7
Calculate prob of picking 3 w when three letters picked without replacement from wwwj.
1/4
What is prob of picking 1 k and 1 s when two letters picked without replacement from ssqsksqys?
5/36
Two letters picked without replacement from {y: 4, k: 5, a: 3}. Give prob of picking 1 y and 1 a.
2/11
What is prob of picking 2 q and 1 x when three letters picked without replacement from grqqqrrrgrgrrrrxxqr?
4/323
Four letters picked without replacement from erbbqbrbrebq. What is prob of picking 2 e and 2 q?
1/495
Two letters picked without replacement from sxvkvk. What is prob of picking 1 s and 1 k?
2/15
Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {b: 1, p: 10, x: 3, a: 1, k: 2}.
3/68
Calculate prob of picking 4 u when four letters picked without replacement from {s: 2, u: 8}.
1/3
Two letters picked without replacement from {i: 1, k: 12, m: 2, j: 2, t: 2}. What is prob of picking 1 i and 1 k?
4/57
Calculate prob of picking 2 t when two letters picked without replacement from {s: 3, t: 10, m: 5, f: 1, g: 1}.
9/38
What is prob of picking 3 u when three letters picked without replacement from {u: 7, w: 1, g: 7, j: 2, c: 2}?
35/969
Calculate prob of picking 3 v when three letters picked without replacement from {x: 10, v: 9}.
28/323
What is prob of picking 2 b and 2 m when four letters picked without replacement from {b: 2, m: 10}?
1/11
Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {v: 1, i: 1, q: 1, w: 1, f: 1, n: 2}.
1/21
Calculate prob of picking 1 x and 1 h when two letters picked without replacement from hxxsixxxhsiixxxixhh.
4/19
Two letters picked without replacement from {x: 4, a: 3, e: 4, r: 1, o: 1, l: 1}. Give prob of picking 1 a and 1 e.
12/91
Calculate prob of picking 3 q when three letters picked without replacement from qqqq.
1
What is prob of picking 3 e and 1 x when four letters picked without replacement from {e: 3, x: 2, v: 5}?
1/105
Calculate prob of picking 2 s and 1 m when three letters picked without replacement from {m: 2, p: 3, s: 9, r: 3}.
9/85
Two letters picked without replacement from {x: 7, d: 12}. What is prob of picking 2 x?
7/57
Two letters picked without replacement from {a: 1, h: 1, y: 2, z: 2, i: 1}. What is prob of picking 1 a and 1 z?
2/21
What is prob of picking 1 x and 1 s when two letters picked without replacement from {i: 1, d: 2, x: 1, p: 8, e: 3, s: 5}?
1/38
Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, u: 2, b: 4, q: 1, x: 7}.
3/136
Four letters picked without replacement from {n: 4, k: 2}. What is prob of picking 1 k and 3 n?
8/15
Two letters picked without replacement from {x: 3, p: 4, c: 8, b: 1, h: 3}. What is prob of picking 1 x and 1 h?
1/19
Two letters picked without replacement from ezz. What is prob of picking 1 z and 1 e?
2/3
Four letters picked without replacement from bdddwnwlkwkbkbkbd. What is prob of picking 1 d and 3 w?
1/595
What is prob of picking 1 o and 1 q when two letters picked without replacement from qoroqrqq?
2/7
Two letters picked without replacement from bppyy. What is prob of picking 1 b and 1 y?
1/5
Calculate prob of picking 1 k and 2 c when three letters picked without replacement from {k: 5, c: 11}.
55/112
Three letters picked without replacement from ggqqqgxegxxxaggxgga. What is prob of picking 1 x, 1 g, and 1 a?
80/969
Three letters picked without replacement from {t: 4, y: 4, d: 6, u: 1, p: 2}. What is prob of picking 1 p, 1 y, and 1 t?
4/ | {
"pile_set_name": "DM Mathematics"
} |
ors of (2*(-16)/96)/(3/(-7362)).
2, 409
Suppose 2*g - 11*q + 12*q = 1354, -5*g + 3385 = -3*q. Let u = -200 + g. List the prime factors of u.
3, 53
Let s(b) be the first derivative of 74*b**3/3 - 9*b**2/2 - 7*b + 1. Let a(w) be the first derivative of s(w). What are the prime factors of a(1)?
139
Let s(b) = -b**3 + 9*b**2 + 8*b + 23. Let f be s(10). What are the prime factors of (-1472 + -17)*(0 + (2 - f))?
1489
Let p = -5049 - -13482. List the prime factors of p.
3, 937
Let f be (-29 + -3 + 1)/(4/12). Let z = f - -157. Let r = 98 - z. What are the prime factors of r?
2, 17
Let t be 1/2 + 5/(-10). Suppose -4*o - 21 = -4*d - o, -d - o = t. What are the prime factors of d/7 + 1560/35?
3, 5
Let f(i) = -259*i**2 + 10*i + 54. Let u be f(-4). What are the prime factors of 2*(-3)/6*u/5?
2, 7, 59
Let l(x) = -64 + x**2 + 38 + 7*x + 34. List the prime factors of l(-7).
2
Let u(m) = m**2 - 2*m - 7. Let c be u(-3). Suppose -2*k + 4 = h, -3*k = 5*h + c + 7. List the prime factors of (-2)/h*0 + 70.
2, 5, 7
Suppose 3*f - 864 = -54. Suppose h - f = -9. What are the prime factors of h?
3, 29
Let v(l) = -l**3 + 46. Let i be v(0). What are the prime factors of 1307/2 - (-115)/i?
2, 41
Let i = 2732 + -950. List the prime factors of i.
2, 3, 11
Let u = 5301 + 11442. List the prime factors of u.
3, 5581
Let y be (-54 + 26)*4/(-7). Suppose y*n + 16 = 20*n. What are the prime factors of n?
2
Let w(v) = -v**2 - 5*v + 1125. Let c be w(0). Suppose -c = -2*j - 3*p, 7*p - 543 = -j + 12*p. List the prime factors of j.
2, 3, 31
Let b be (-49)/(-6)*(44 - 38). List the prime factors of 19047/b - 4/(-14).
389
Let o be (5/(-5) - -2) + 7*10. Let w = o + -30. List the prime factors of (254/6)/(-1)*(-123)/w.
127
Let c(y) = y**3 - 7*y**2 + 8*y - 4. Let a be c(3). Let q = -36 - a. List the prime factors of -1*30/25*q/3.
2
Let h be (-65)/(-10) - 5/(-10). Let w be (-10)/2*h/((-210)/36). What are the prime factors of (-1956)/(-8) + (-3)/w?
2, 61
Let p(s) = 33*s - 70. Let y be p(11). Suppose -y = -k - 11*u + 6*u, -5*u + 1217 = 4*k. What are the prime factors of k?
2, 7, 11
Let g be 3/(-2)*((-320)/(-12))/(-8). Let o(h) = -3 - g - 2 - 18*h - 6 - h**2. What are the prime factors of o(-11)?
61
Suppose 186*f = 191*f + 40. What are the prime factors of f/(-18)*-3 - 961/(-3)?
11, 29
Let q(h) = h**2 + 19*h + 6056. What are the prime factors of q(0)?
2, 757
Suppose 293*n - 297*n + 46756 = -2*k, 46748 = 4*n - 4*k. List the prime factors of n.
3, 433
Let h(t) be the third derivative of -t**6/60 - t**5/12 + t**4/12 + t**3/2 + 10*t**2 - 15. Suppose 4 = -2*b - 4. List the prime factors of h(b).
43
Suppose -542700 = 168*n - 213*n. List the prime factors of n.
2, 3, 5, 67
Let s(j) = j**2 - 31*j + 127. Suppose 39*b + 213 = 1266. What are the prime factors of s(b)?
19
Let a be ((-15)/15)/(1/5). Let d be (a/15)/((-14)/12 + 1). List the prime factors of 106 - -1 - (d - 6).
3, 37
Let t(y) = y**3 + 3*y**2 - 11*y - 3. Let r be t(-5). Suppose 2*c + 8 = -r*c. Let i = c + 41. List the prime factors of i.
3, 13
Let f(j) be the first derivative of -j**4/4 - 2*j**3 + 9*j**2/2 + 14*j + 12. Let a be f(-7). Suppose -2*k - 3*k + 140 = a. List the prime factors of k.
2, 7
Let z(f) = 26*f**2 + 18*f - 15. Suppose -9*x = 719 - 791. What are the prime factors of z(x)?
11, 163
Suppose -431*k + 444*k - 62472 - 476053 = 0. List the prime factors of k.
5, 1657
Let l = 229 - 1433. Let i = l + 92. List the prime factors of (-38)/(-171) - (-3)/((-54)/i).
2, 31
Let j(x) = 5*x**2 + 8*x + 48. Let s(h) = -h**3 + 3*h**2 - 3*h + 13. Let g be s(4). List the prime factors of j(g).
3, 13
Suppose -2*q = l + 1056, -2*q + 0*l - 1052 = 2*l. What are the prime factors of (0 - q)*(8 - 6)?
2, 5, 53
Let l(k) = -2*k**3 - 3*k**2 + 5*k + 3. Let c be l(-3). Let m be (-3)/7 - 152/(-28). Let u = c - m. List the prime factors of u.
2, 5
Suppose -55 + 23 = -8*k. Suppose k*l + 81 = 3433. List the prime factors of l.
2, 419
Let n(w) be the third derivative of 37*w**4/24 + 56*w**3/3 + 136*w**2. What are the prime factors of n(21)?
7, 127
Let q = 35 + -17. Let h be (-6)/(-36) - ((-1617)/q - 0). Suppose 0*o = -9*o + h. List the prime factors of o.
2, 5
Let a(m) = m**3 - 5*m**2 + 3*m - 15. Let x be a(5). Suppose 3*b + 16 + 30 = 4*p, x = 5*b + 3*p + 38. What are the prime factors of 60/18*(-12)/b?
2
Let c(u) = -2*u**3 + 7*u**2 - u + 4. Let i(k) = k**2 - k - 1. Let t(s) = c(s) + 4*i(s). What are the prime factors of t(-4)?
2, 3
Suppose 14*w - 12*w - g = 20717, 0 = 4*w + 5*g - 41441. List the prime factors of w.
3, 1151
Let z(t) = -t**3 - 2. Let w(f) = f**3 - 9*f**2 - 14*f. Let k(d) = w(d) + 5*z(d). What are the prime factors of k(-6)?
2, 307
Suppose -4305 = 240*q - 241*q - 5*j, -12963 = -3*q - 3*j. List the prime factors of q.
5, 173
Let k be 0 - ((-9)/6)/(9/12). Suppose -4*b = -5*g + 1882, 4*b + 576 = k*g - 172. List the prime factors of g.
2, 3, 7
Let r(i) = 1365*i**2 + 149*i - 461. List the prime factors of r(3).
7, 1753
Suppose -37905 + 12645 = -12*p. Let b = 3205 - p. What are the prime factors of b?
2, 5, 11
Let d(p) = 2*p**2 + 119*p - 1709. What are the prime factors of d(20)?
1471
Let w = -53 + 38. Let o(x) = -x**2 - 16*x - 17. Let a be o(w). List the prime factors of (-4 - -13)*a*(-19)/6.
3, 19
Let l be ((-789)/9)/((-9)/243). Suppose -23*m + l + 255 = 0. List the prime factors of m.
2, 3, 19
List the prime factors of (1920/256)/((-5)/(-202)).
3, 101
List the prime factors of (-16)/(-10)*18/(-54)*(-25215)/2.
2, 41
Suppose 150 = 11*o - 158. Suppose 33*v = o*v + 3845. List the prime factors of v.
769
Let r(p) = p + 1. Let m(a) = 2*a + 2. Let c(f) = -m(f) + 3*r(f). Let s be c(-4). List the prime factors of 98 - (s - 6/(-3)).
3, 11
List the prime factors of (-5535)/1*(7 + 1 + -9).
3, 5, 41
Let d(x) = -23*x**2 + 4*x - 5. Let a be ((-18)/27)/(4/(-6)). Let f be d(a). Let g = 145 - f. What are the prime factors of g?
13
Let h(j) = 49*j - 101 - 173 - 79*j - 49*j + 61. What are the prime factors of h(-12)?
3, 5, 7
Let l(b) = b**3 - 14*b**2 + b + 17. Let i be l(14). Suppose 0 = 37*u - i*u - 18. List the prime factors of 2436/18 + u*2/9.
2, 17
Suppose 3*n = 8*n, 0 = 2*i + 5*n + 2352. Let c = i - -1785. What are the prime factors of (-5 - c)*1/(-2)?
307
Suppose 5*i - 7*i = 120. Let l(u) = 2*u**2 + 28*u - 6. Let y be l(-13). Let s = y - i. What are the prime factors of s?
2, 7
Suppose -2 = -2*p, -8*a = -3*a - 5*p - 1335. Let d = a - 88. What are the prime factors of d?
2, 3, 5
Let i be (4/3)/(12/9). Let x = i - -6. Suppose -x*u + 475 = -2*u. What are the prime factors of u?
5, 19
Let b = -48 + 48. Let m be 2/(-4)*(-6 + b). Suppose 4*v - w - 199 = 0, -m*w + 263 = 4*v + 44. What are the prime factors of v?
3, 17
What are the prime factors of (-54775)/(-105)*78/10?
13, 313
Suppose -m = -4, -40*l + 2*m = -45*l + 45633. What are the prime factors of l?
5, 73
Let q be (11/2)/((-2)/(-4)). Let m = q + -19. List the prime factors of m/10 - 2233/(-35).
3, 7
Let c be (33/(-44))/(-1*1/4). Let t be (c/(-2))/(-1) - 16289/(-182). Let i = t + -18. What are the prime factors of i?
73
Let w = 2661 - 2368. What are the prime factors of w?
293
Suppose 4*f + 738 = 2*p, -3*p - f = 4*f - 1151. Suppose 4*g + p = 1365. What are the prime factors of g?
13, 19
Let d(k) be the second derivative of -3*k**5/5 + k**4/12 - 7*k**3/6 - 10*k**2 - 5*k + 8. List the prime factors of d(-5).
2, 5, 7, 11
Suppose 114*a = 18*a + 130944. List the prime factors of a.
2, 11, 31
Let o(w) = w**3 + 8*w**2 - 10*w - 2. Let v be o(-9). Let b(j) = -2*j + 8. Let l be b(v). Let x(q) = q**2 - 8*q - 4. List the prime factors of x(l).
2, 5
Let r = -16301 - -23894. What are the prime factors of r?
3, 2531
Suppose -4*x - 80 = -4*i, -5*i + 14 = -2*x - 38. Let w(y) = 5*y - y**3 + 11 - 10*y**2 + 11*y - 5*y**2. What are the prime factors of w(x)?
11
Let b(w) = w**3 - w**2 - 9*w + 5. Let a(z) = 2*z - 50. Let n be a(30). What are the prime factors of b(n)?
5, 163
Let g = 70 + -70. Suppose 4*z - 5*z - 2*z = g. Suppose z = 6*c - 1003 - 59. What are the prime factors of c?
3, 59
Let w(m) = -m**2 - 8*m - 9. Let r be w(-6). Let n = -8 - -253. Suppose 2*y + x = 220, -3*y + r*x = -67 - n. What are the prime factors of y?
2, 3
Suppose -3*i + 2*b = -2714, -2*i + 2*b + 1796 = -2*b. Let k = 1542 - i. What are the prime factors of k?
2, 317 | {
"pile_set_name": "DM Mathematics"
} |
nd c.
11
Suppose 2*h + 2*b + 4 = 5*h, 5*b = -10. Suppose h = 5*o - 0*o - 50. Suppose -20 + 12 = -4*a. What is the greatest common factor of a and o?
2
Let w be (34/28 + 33/(-22))*-35. Calculate the highest common divisor of w and 10.
10
Let r(d) = -2*d**2 - 53*d - 28. Let l be r(-22). What is the greatest common divisor of l and 30?
10
Let n(b) = b**2 + 9*b - 3 + 3*b - 6*b. Let x be n(-6). Let m(i) = -2*i**3 + 2*i**2 - 4*i + 1. Let o be m(x). What is the greatest common divisor of o and 34?
17
Let j be 8*7/(84/9). What is the highest common factor of 69 and j?
3
Let l be (10/5 - -1) + 205. Calculate the highest common divisor of l and 32.
16
Let w = -292 - -346. Suppose 3*d - 17 = 2*d + h, -3*d + 59 = 5*h. What is the highest common factor of d and w?
18
Suppose -2*t = 3*t - 5*f - 185, 4*t - 154 = -2*f. Suppose 4*m + 10 - t = 0. Suppose 2*r = 18*r - 1008. What is the greatest common divisor of m and r?
7
Let u = 10 - -6. Let p = u + -6. Let f(j) = j**2 + 3*j. Let g be f(7). What is the greatest common factor of g and p?
10
Let d = -281 + 431. Calculate the greatest common divisor of d and 30.
30
Let t = 70 - 48. Suppose 3*g + 3*d - 58 = -t, -d = -4*g + 58. Calculate the highest common divisor of 154 and g.
14
Let a(v) be the first derivative of -2*v**3/3 - v**2/2 + v - 5. Let m be a(-2). Let s = m + 26. What is the highest common divisor of 84 and s?
21
Let b(u) = 2*u + 12. Let r be b(11). Calculate the greatest common factor of 34 and r.
34
Let f = -301 - -457. Let j = f - 74. Suppose -3*h = -313 + j. Calculate the greatest common divisor of 11 and h.
11
Let d = 136 + -33. Calculate the greatest common factor of d and 412.
103
Let w(l) = l**3 + 4*l**2 + 4*l + 17. Let m be w(-3). Calculate the greatest common factor of 686 and m.
14
Let b = 1 + -1. Suppose 34*h - 29*h - 55 = b. What is the greatest common divisor of 77 and h?
11
Let u(t) = -2*t + 7. Let m be u(-5). Let b = 94 - m. Suppose -5*i + 54 = -g, 0*i + 30 = 3*i - 3*g. What is the greatest common divisor of b and i?
11
Let f = -2 + 6. Let c be 241 + (6/27 - 8/36). Suppose -c = -f*i + 479. Calculate the greatest common divisor of 20 and i.
20
Let x(k) = 3*k - 153. Let z be x(0). Let d = z - -293. What is the greatest common factor of 28 and d?
28
Suppose 3*t - 7*t + 80 = 0. Let g be t/10 + -1 + 3. Suppose -2*j + 4*a = -214, 0 = -j + g*a + 152 - 55. Calculate the greatest common divisor of j and 13.
13
Let d(m) = m**2 - 28*m - 42. Let c be d(35). Calculate the highest common divisor of c and 7.
7
Suppose 378 - 63 = 5*a. Let u = -1841 + 1850. Calculate the greatest common divisor of u and a.
9
Let w = -1 + 16. Let n = 20 - w. Suppose 5*h - 2*a = 20, 3 = 2*h - 4*a - n. Calculate the greatest common divisor of h and 20.
4
Let h(a) = a**3 + 10*a**2 + 7*a - 11. Let w be h(-9). Suppose -w*y = -59 - 18. Let n = 99 - 33. Calculate the greatest common divisor of y and n.
11
Let j(q) = -2*q + 34. Let k be j(16). Suppose -a - 2*g + 219 = 0, 0 = 3*a + k*g - g - 672. What is the greatest common divisor of a and 15?
15
Let r be -2 - (3*14 - (5 + -2)). Let b = r - -49. Suppose 3*n + 2*n = -25, 0 = 2*g - 2*n - 186. What is the greatest common factor of g and b?
8
Let h(a) = 6*a**2 + 7*a + 8. Let o be h(-6). Suppose 2*f - 51 = 1. Calculate the greatest common divisor of f and o.
26
Let b(w) = -w**3 - 30*w**2 + 62*w + 32. Let a be b(-32). What is the highest common divisor of a and 128?
32
Let d(b) = -2*b**3 + b**2 + 3*b + 4. Let w be d(-4). Let j be 10/(-4)*34/(-5). Calculate the highest common factor of w and j.
17
Let f be (-1 + 0/(-1))*-40. Suppose 0 = -14*j + 153 + 407. Calculate the highest common factor of j and f.
40
Let i(z) = z**3 + 7*z**2 - 19*z + 8. Let t be i(2). Calculate the greatest common factor of 750 and t.
6
Let q(m) = 89*m**2 + 7*m + 9. Let c be q(-1). Calculate the greatest common factor of 65 and c.
13
Suppose 2*o = -18*y + 20*y + 242, -141 = -o + 5*y. Calculate the greatest common factor of 87 and o.
29
Let w = -5 + 5. Suppose 0*v + 4*v - 72 = w. What is the greatest common factor of 6 and v?
6
Let i be (72/10)/9 + 371/5. What is the highest common factor of 825 and i?
75
Let b(j) = -2*j**3 - 3*j - 1. Let s be b(-2). Let d = 21 - s. Suppose 3 = -3*v, 2*r + d*r = 2*v + 14. Calculate the highest common divisor of r and 2.
2
Suppose 0 = 5*a - b - 249, -63 = -2*a + 2*b + 35. Let g(w) = 2*w - 6. Let y be g(4). Let r = 7 - y. What is the highest common divisor of a and r?
5
Let a be 7*(-10)/(-70) - -284. Let o(k) = -4*k - 5. Let g be o(-5). Calculate the greatest common divisor of a and g.
15
Let x(i) = -8*i + 3. Suppose 0 = -5*z + 4*g + 10, z + 3*z - 4*g - 12 = 0. Let m be x(z). Calculate the greatest common factor of 209 and m.
19
Suppose 73*t - 79*t + 570 = 0. What is the highest common factor of t and 55?
5
Let s be 80/(-30)*6/(-4). Let a(c) = c**2 + 3*c. Let m be a(-7). Calculate the highest common divisor of s and m.
4
Let x(p) = -6*p - 16. Suppose 3*z - 13 - 2 = 0. Suppose -3*i - 3*g = 30, 0 = z*i + 4*g + 45 + 2. Let w be x(i). Calculate the highest common factor of 39 and w.
13
Suppose p - 9 = -2*p. Let k = -24 + 28. Suppose p*u - k = -u. Calculate the highest common factor of 6 and u.
1
Let p be (-72303)/(-539) - 24/21. Calculate the highest common factor of 2660 and p.
133
Suppose 5*p - 415 = -5*n, -p - 10*n + 13*n = -63. What is the greatest common factor of p and 117?
39
Suppose 1292 = -44*b + 46*b - f, -5*b + 3230 = f. Calculate the greatest common factor of b and 38.
38
Suppose 0 = -2*v - 4*q - 47 + 367, -3*v - 5*q + 482 = 0. Calculate the greatest common factor of 1681 and v.
41
Let k be (-10)/(-12) + 11/(66/343). What is the greatest common divisor of 725 and k?
29
Let s(v) = 77*v**3 - 3*v**2 + 15*v - 12. Let k be s(1). Suppose 0 = -2*b - 3*b - 2*w + 25, -w + 23 = 4*b. Calculate the greatest common divisor of b and k.
7
Suppose 0 = -4*j - 3*k + 51, -j + 24 = 30*k - 33*k. Calculate the greatest common factor of j and 75.
15
Let t be (2/(-4))/((-6)/4428) - -3. Calculate the highest common factor of 12 and t.
12
Let u(z) = 24*z**2 + 9*z + 53. Let s be u(7). What is the greatest common divisor of s and 19?
19
Suppose -4*n - 157 = -1217. Let z be 2 + (0 - 0 - -333). Suppose -n = -5*p + z. Calculate the highest common divisor of p and 24.
24
Let k = 25 + -20. Suppose k*i - 90 = -i. Let j(t) = 26*t - 3. Let f be j(3). What is the highest common divisor of i and f?
15
Let b be -5*7/(-70)*80/2. Calculate the greatest common divisor of 150 and b.
10
Suppose 0 = 5*u - 15 + 5. Suppose 5 = 3*x - q - 0*q, 3*x + 5*q = 29. Suppose 0 = x*b - b - 4. What is the highest common divisor of b and u?
2
Let j be (204/8)/((-1)/2). Let f = -26 - j. Suppose 0 = -5*o - 3*m + 1390, 4*o - o = 2*m + 815. Calculate the highest common divisor of f and o.
25
Suppose 4*z = 8*z - 168. Suppose -5*r + 2*s + 2304 = -0*s, -3*r - 5*s + 1401 = 0. What is the greatest common factor of r and z?
42
Let t(v) = 73*v + 3. Let w be t(3). Suppose -6 = 3*n - 5*n. Suppose w = n*y - 3*z, 4*y - 199 = -4*z + 65. What is the highest common factor of 28 and y?
14
Let n(f) be the first derivative of f**4/4 + 2*f**3 + f**2 - 9*f - 6. Let x be n(-5). Suppose 2*u - 72 = -2*u. What is the greatest common factor of u and x?
6
Let d be (2 - 0/(-3)) + 2. Suppose p + 3*a - 4 = 0, 0*p + d*p = -3*a + 7. Let s be (p/(-1))/(5/(-145)). Calculate the greatest common factor of 319 and s.
29
Let t be (-9)/3 - (-2 - 5). Let x be (t + 21)*10/25. Suppose 0 - 330 = -3*c. What is the highest common factor of x and c?
10
Suppose 0*x = 3*x - 132. Suppose 4*v - 20 - x = 0. Let h = 77 + -29. Calculate the greatest common divisor of h and v.
16
Let d = 55 - 19. Let h be -2 - ((-12)/4 + -23). What is the highest common divisor of h and d?
12
Let a(j) = j**2 - 7*j - 6. Let i be a(-2). Calculate the highest common factor of i and 52.
4
Let o(k) be the second derivative of k**3/6 + 25*k**2/2 - 8*k. Let x be o(-8). Suppose -5*z = -10*z + 595. Calculate the highest common divisor of z and x.
17
Let t = -707 + 715. Calculate the greatest common divisor of 156 and t.
4
Suppose 2*b - 168 = -4*t - 18, -279 = -4*b - t. What is the greatest common factor of 115 and b?
23
Let r be 4 - (-5 - -1 - -4 - 136). Calculate the highest common factor of r and 60.
20
Let q | {
"pile_set_name": "DM Mathematics"
} |
t(77)/(sqrt(847) - ((sqrt(847) - sqrt(847)*-2) + sqrt(847))))**2 + -3.
-296/99
Simplify ((2*(sqrt(252) - (sqrt(252) - sqrt(252)*-1)))**2 - sqrt(252))*-1 - ((sqrt(112) + -1 - sqrt(7))**2 + ((-1*sqrt(49))/sqrt(7))**2).
-1079 + 12*sqrt(7)
Simplify -4*((sqrt(13) + -2 + sqrt(13))**2 + 0) - (5 + 4 + -2 + sqrt(13))**2.
-286 + 18*sqrt(13)
Simplify ((-1*-1*sqrt(56))/(sqrt(8)*-5*2))**2.
7/100
Simplify -4*(-1 + (-4 + sqrt(13))**2 - (sqrt(130)*5)/sqrt(10)).
-112 + 52*sqrt(13)
Simplify ((sqrt(405) - sqrt(405)*1) + -2 + sqrt(405) + sqrt(40)/(sqrt(8)*-1*-5))**2.
-184*sqrt(5)/5 + 2136/5
Simplify -5 + (6*-1*sqrt(405) - ((sqrt(5) + 0)*3 + sqrt(10)/sqrt(2) + 5)).
-58*sqrt(5) - 10
Simplify (sqrt(68)/(sqrt(16) + sqrt(4)) - ((2*sqrt(119))/sqrt(7))**2) + 4 + -2*sqrt(833).
-64 - 41*sqrt(17)/3
Simplify ((sqrt(5) - -1*sqrt(5)*-1) + sqrt(245)*-2 + sqrt(245) - (4 + sqrt(125) + 0))**2.
96*sqrt(5) + 736
Simplify 1 + -5 + 1*(1*sqrt(208)*6 + sqrt(208)).
-4 + 28*sqrt(13)
Simplify -1*(2*(1 + sqrt(208)) + sqrt(208) + sqrt(208) + -5*(4 + sqrt(208)))**2.
-532 - 144*sqrt(13)
Simplify -2*(-3*sqrt(2835) - sqrt(35))/(sqrt(35)/sqrt(5)*1) + -3.
-3 + 56*sqrt(5)
Simplify ((sqrt(88) - (sqrt(88) + -2*sqrt(88))*-3)*-2)/((sqrt(96)/(sqrt(36)/sqrt(3)) + sqrt(8))*3).
2*sqrt(11)/3
Simplify (4*(sqrt(77) + -5*(sqrt(77)*2 - sqrt(77)) + sqrt(77)))/(sqrt(11) - (sqrt(11) + (sqrt(11) - -2*sqrt(99))) - sqrt(44)/sqrt(4)*-3).
3*sqrt(7)
Simplify ((4*(sqrt(486) + sqrt(486) + (sqrt(486) - (sqrt(486)*-2 + sqrt(486)))) - sqrt(486))/(2*sqrt(50)*-5))**2.
2187/100
Simplify 1 + 3*(((-1 + sqrt(1053))*-2 - sqrt(1053)) + (1*(sqrt(1053) - (sqrt(1053) + 1)))**2).
-81*sqrt(13) + 10
Simplify 3*(-3*2*sqrt(171) + sqrt(2299)*2 + 4).
12 + 12*sqrt(19)
Simplify ((sqrt(252) - (0 + sqrt(252) + sqrt(252)*2))*-4 + 5 + 0)**2.
480*sqrt(7) + 16153
Simplify -6*((sqrt(891) + -1)**2 + (sqrt(22)/sqrt(2) - sqrt(11) - sqrt(11)) + 2 + (-2 + 2 + sqrt(396))**2).
-7740 + 114*sqrt(11)
Simplify (sqrt(198)*-6)/(-2*sqrt(8) + sqrt(8)) + -5.
-5 + 9*sqrt(11)
Simplify -3*(-1 + sqrt(931) + -3)**2 - ((3*(sqrt(228)*-1 - sqrt(228)))/sqrt(12) + -3).
-2838 + 174*sqrt(19)
Simplify (6*(sqrt(48)/(sqrt(6)*-1))/((sqrt(160)/sqrt(5))/sqrt(8)))**2.
72
Simplify (2*-6*(sqrt(495) + 2*sqrt(495))/(1*sqrt(44) + sqrt(11)))**2.
6480
Simplify (5*(6*(sqrt(475) - 3*sqrt(475)) + 4) + -2)**2.
-10800*sqrt(19) + 1710324
Simplify (sqrt(176)/sqrt(2))/(sqrt(72)*1 + sqrt(72)) - ((sqrt(11) + sqrt(55)/sqrt(5) + -4)**2 - (sqrt(66)*-3)/sqrt(6)).
-60 + 79*sqrt(11)/6
Simplify ((sqrt(9) + (sqrt(9) + sqrt(27)/sqrt(3))*-1)/(sqrt(12)*2))**2*6 + 0.
9/8
Simplify (sqrt(1053) + sqrt(1053) + sqrt(1053)*3 + -3)**2 - -6*(sqrt(39)/(sqrt(3) + sqrt(3) + sqrt(108) + sqrt(3)))**2.
-270*sqrt(13) + 711044/27
Simplify (sqrt(40) + 3*(sqrt(40) - -2*sqrt(40)) + sqrt(80)/sqrt(2)*-1)/(sqrt(128)/sqrt(4) - sqrt(24)/(1*sqrt(3))).
9*sqrt(5)
Simplify ((1*sqrt(2000) - (sqrt(720) + 0)) + (-2*sqrt(120))/sqrt(6)*-1)**2.
720
Simplify (-4*(2*sqrt(208) - sqrt(208)) + 3*sqrt(13)*-2 + -2*sqrt(468))**2.
15028
Simplify (4*3*2*(2*(sqrt(684) + -1) + -1 + sqrt(684) + 4))**2.
20736*sqrt(19) + 3546432
Simplify (-5*(-1*(0 + sqrt(7) + 4 + sqrt(7)*1*-4)*-1 + 1))**2.
-750*sqrt(7) + 2200
Simplify 2 + sqrt(39)/(1*sqrt(3))*-5 + 4 + sqrt(468)*-2.
-17*sqrt(13) + 6
Simplify (-1*(2*sqrt(252) + 1 - sqrt(252))*-1*-1)**2.
12*sqrt(7) + 253
Simplify 3*(2*1*sqrt(143) + -1*(-1*sqrt(143) - sqrt(143) - sqrt(143)))/(-1*sqrt(99)*-4).
5*sqrt(13)/4
Simplify (sqrt(192) - sqrt(192)*-2)**2 + 4 - (1*(-1 + sqrt(108)))**2.
12*sqrt(3) + 1623
Simplify 3*(((sqrt(162) - (sqrt(162) + 0 + sqrt(162)))*-2 - sqrt(162))**2 + (sqrt(162) - (sqrt(162) - sqrt(162)*4)*-6)**2)*-4.
-563760
Simplify (((5*-4*sqrt(95) - sqrt(95)) + sqrt(95))*-6)/(sqrt(605) - (sqrt(605)*-2 + sqrt(605))*5).
20*sqrt(19)/11
Simplify ((4*sqrt(110)*-3)/(4*sqrt(60)/sqrt(6)))**2*-3 + 4.
-293
Simplify sqrt(30)/(sqrt(72)/(sqrt(48)/sqrt(4))) - sqrt(30)/(sqrt(96)*-1).
5*sqrt(5)/4
Simplify ((-5 + 2*sqrt(57)/sqrt(3))*-4 + 4*2*sqrt(475)*3)**2.
4480*sqrt(19) + 238736
Simplify 4 + (2*sqrt(114))/sqrt(6) - -5*sqrt(190)/(sqrt(40)/sqrt(4)).
4 + 7*sqrt(19)
Simplify (1*(6*sqrt(3)*1 + sqrt(3) - -4*sqrt(75)))**2.
2187
Simplify ((1*sqrt(50))/sqrt(5) - -4*sqrt(10)*-2)/(-3*sqrt(4)/sqrt(2)*4) + -5.
-5 + 7*sqrt(5)/12
Simplify 1 + ((-3 + sqrt(52) + 2*-3*sqrt(13))*2)**2.
96*sqrt(13) + 869
Simplify -4*(3*(5*3*sqrt(108)/sqrt(4))**2 + 3).
-72912
Simplify 1*(sqrt(684) + 0)*1 + 3 + (-1*sqrt(684) - sqrt(684))**2 + -3.
6*sqrt(19) + 2736
Simplify ((3 + (sqrt(637)*-3 + 0 - sqrt(637)))*2)**2.
-672*sqrt(13) + 40804
Simplify (sqrt(500)/(sqrt(810) - (-2*sqrt(810) - sqrt(810) - sqrt(810)) - sqrt(810)))/(sqrt(50)/(sqrt(5) - sqrt(45)/(sqrt(9)*-2) - sqrt(5))).
sqrt(5)/72
Simplify (sqrt(60)/(-2*sqrt(3)) - -1*sqrt(180))/(sqrt(44)/(sqrt(77)/(sqrt(42)/sqrt(6)))).
5*sqrt(5)/2
Simplify (-6*-6*5*(-4*sqrt(2448)*-2 - sqrt(2448)))**2.
3886444800
Simplify 4 + ((-4*sqrt(1584)*3 - -2*sqrt(1584)*4) + -2)**2.
192*sqrt(11) + 25352
Simplify 4*(1*sqrt(117)*-3 + (sqrt(637) + (sqrt(637) - (-3 + sqrt(637) + 1 + sqrt(637))))**2).
-36*sqrt(13) + 16
Simplify -2 + 2*(-1*sqrt(117)*-5)/(sqrt(36)/(-1*sqrt(4))).
-10*sqrt(13) - 2
Simplify ((sqrt(40)/(sqrt(18)*4))/(-2*sqrt(36)*5))**2.
1/25920
Simplify (6*2*sqrt(8))/(sqrt(8)/sqrt(162)).
108*sqrt(2)
Simplify (-1 + 1*sqrt(700)*-3 + sqrt(700) + ((sqrt(700) - 1*sqrt(700)) + sqrt(700) + -1)**2)*6.
-240*sqrt(7) + 4200
Simplify (-3*2*sqrt(190)*2)/((6*(sqrt(70) - -1*sqrt(70) - sqrt(70)) - sqrt(70))/sqrt(7)) + -2.
-12*sqrt(19)/5 - 2
Simplify (-2 + ((sqrt(405) + 2)*-3 + 1)*-6*5)**2.
239760*sqrt(5) + 3302404
Simplify 6*(4 + (-5 + ((sqrt(162)*2)**2 - sqrt(162)) + sqrt(162) - sqrt(16)/(sqrt(80)/(sqrt(10) + sqrt(30)/sqrt(3))))).
-12*sqrt(2) + 3882
Simplify ((sqrt(126) + 1*sqrt(126) + sqrt(126) - sqrt(126))*4)/(-1*sqrt(2)*-2)*-5.
-60*sqrt(7)
Simplify -3*2*(-4 + sqrt(11) + (sqrt(11) - (1*sqrt(11) + sqrt(11))) + sqrt(11))*4.
-24*sqrt(11) + 96
Simplify -5 + (2*-2*sqrt(99))/((sqrt(9) + sqrt(36)/sqrt(4))*-4) + -5.
-10 + sqrt(11)/2
Simplify (sqrt(12)/(sqrt(6) - sqrt(486)) + ((sqrt(96)/sqrt(12))/sqrt(4))**2)*-3.
-6 + 3*sqrt(2)/8
Simplify -6*-5*(-3 + -3*(0 + sqrt(891) - sqrt(891))**2).
-90
Simplify ((sqrt(144)/(-1*sqrt(9)))/sqrt(4))/(4*(sqrt(10)*2)/sqrt(5)).
-sqrt(2)/8
Simplify sqrt(114)/sqrt(24) + -3*sqrt(76)/sqrt(4) + ((sqrt(95) + sqrt(95)*1)*-3 - sqrt(95) - sqrt(95) - sqrt(95))/sqrt(5).
-23*sqrt(19)/2
Simplify (3*-3*sqrt(91)*5)/((sqrt(343)*-2 - sqrt(343))*-4).
-15*sqrt(13)/28
Simplify 0 + 1*sqrt(28) - (4*(sqrt(112)*-3 - sqrt(112) - sqrt(112)) - sqrt(112) - sqrt(112))**2.
-54208 + 2*sqrt(7)
Simplify (-2*(-5 + sqrt(336)/(-2*-2*sqrt(7))))**2.
-40*sqrt(3) + 112
Simplify ((sqrt(136) - sqrt(136)*-1)*4)/(2*sqrt(648)) + -5 + sqrt(34)/sqrt(2)*2 + 5.
22*sqrt(17)/9
Simplify -4 + -4 + (4*(sqrt(33)/sqrt(3) + 0 - (sqrt(11) - (5 + sqrt(22)/sqrt(2)))))**2 + 2.
160*sqrt(11) + 570
Simplify (4*(-3*sqrt(425)*1 + (sqrt(425)*-2 + 5 - sqrt(425))))**2.
-4800*sqrt(17) + 245200
Simplify 1*-2*(sqrt(143)/((sqrt(132) + 3*sqrt(132))/sqrt(12)) + 1)**2.
-29/8 - sqrt(13)
Simplify (-1*sqrt(57)/sqrt(3) - -1*sqrt(304)) + -4*sqrt(76)/sqrt(4) + ((sqrt(304) + 1)**2 - sqrt(19)).
6*sqrt(19) + 305
Simplify ((sqrt(40) + sqrt(160))/sqrt(10) + -4*sqrt(16))/(sqrt(4)/sqrt(2)*2 + 1*sqrt(242)) + 0.
-5*sqrt(2)/13
Simplify (((sqrt(1053) - (-2 + sqrt(1053) + sqrt(1053))) + sqrt(1053))*1 + sqrt(1053)*-3*-5)**2 + -2.
540*sqrt(13) + 236927
Simplify (1*(sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) - 4*sqrt(77))) - sqrt(77)))/(sqrt(99)/(sqrt(54)/sqrt(6))).
5*sqrt(7)
Simplify ((sqrt(27) - (sqrt(432)*-3 + sqrt(432)))/(sqrt(108)/(sqrt(12)*4)))**2.
3888
Simplify ((sqrt(30) - -1*1*sqrt(30)) + sqrt(30))/sqrt(10) - (1 + sqrt(243) + 5 + sqrt(243) - sqrt(243) - sqrt(243))**2.
-36 + 3*sqrt(3)
Simplify (2*(sqrt(192) + -1) + 6*((sqrt(192) - (sqrt(192) + (-3 + sqrt(192) - sqrt(192))) - sqrt(192)) + sqrt(192) + sqrt(192)) + -3)**2*4.
6656*sqrt(3) + 49828
Simplify (-3 + sqrt(343))*-6 - ((2*sqrt(343)*4 - sqrt(343))**2 + sqrt(343)).
-16789 - 49*sqrt(7)
Simplify 0 + (0 + sqrt(700))*-6 - (-4 + sqrt(700)*-1 + (-2*sqrt(700)*1)**2).
-2796 - 50*sqrt(7)
Simplify -1*((sqrt(171)*-1*1 + sqrt(171))/sqrt(9) + 5*((sqrt(57)/sqrt(3) + 4 - sqrt(19)) + sqrt(19)))**2.
-875 - 200*sqrt(19)
Simplify 3 + ((sqrt(182)/sqrt(7) + sqrt(26))/sq | {
"pile_set_name": "DM Mathematics"
} |
se
Suppose 0*s + s = 69. Let t = 105 - s. Let k = 197 - t. Is k prime?
False
Let d(l) = -4 - 4*l + 3 + 0*l. Let i be d(1). Let z = i + 72. Is z a prime number?
True
Let n be ((-82)/4)/(9/18). Let b = n - -76. Is b composite?
True
Suppose 2765 = 21*u - 16*u. Is u a prime number?
False
Let h(q) = -299*q - 30. Is h(-7) a prime number?
True
Let w be 2 - (-6 + 3 + -2 + 2). Suppose -w*r + 346 = -459. Is r prime?
False
Let n(l) = -l**2 + 11*l - 5. Let y be n(10). Suppose 3*k - y*k + 2098 = 0. Is k composite?
False
Suppose 0 = 7*j - 4*j - 6. Is (27/(-27))/(j/(-2758)) a prime number?
False
Is ((-143)/88)/(-13) - (-64622)/16 composite?
True
Is (-8)/(-26) - (-17048948)/2132 prime?
False
Is ((-30)/(-20))/(5/568580*6) a prime number?
True
Suppose 0 = 117*q - 122*q + 31035. Is q composite?
True
Let i(p) = p**3 - 29*p**2 - 87*p + 117. Is i(34) composite?
False
Suppose 2764 = 5*d + 5*q - 5976, d = 3*q + 1744. Is d composite?
False
Is 49/(-14)*(-1 - -3) + 65294 prime?
True
Let g be (-4 - 0) + (8 - 2). Is (9/27)/(g/11082) a composite number?
False
Let w be -1*(7 + (-2 - 2)). Let h be 2/w*(4 + -7). Suppose -2*p - 4*d + 918 = 0, 3*d + 1412 = 3*p + h*d. Is p prime?
False
Let a(w) be the second derivative of -41*w**3/6 + 4*w**2 + 16*w. Is a(-7) a composite number?
True
Let k(i) = -i**3 + 14*i**2 + i - 37. Is k(13) a prime number?
False
Let o(u) = -33*u**3 - 27*u**2 - 3*u + 1. Is o(-4) a prime number?
True
Let g = 9047 - 3920. Is g prime?
False
Suppose 50*w - 45428 = -4878. Is w a composite number?
False
Suppose h + 0 = 1. Suppose -q + h = -1. Suppose 5*f + 2*s = 383, -q*f + 159 = -4*s - s. Is f prime?
False
Let o be 1/5 + 1876/70. Let x = 264 + o. Suppose -1467 = -6*r + x. Is r a composite number?
False
Let t be ((-1)/(-4))/((-6)/24). Let s(l) = 9*l**2 + l + 156*l**2 + 3*l**2. Is s(t) prime?
True
Is (-1)/((9/18)/((-17846)/4)) composite?
False
Let b be (0 - 1)/((-1)/5). Suppose -6*l + 26 - 2 = 0. Suppose b*f = 2*j - 128, 2*f + 0 = -l. Is j prime?
True
Let b be 5*(1 + 0 + 0). Let o(t) = 4*t - 17. Let c(a) = a - 4. Let n(h) = 9*c(h) - 2*o(h). Is n(b) a prime number?
True
Let g(q) = 21*q**2 + 12*q + 11. Suppose 4*f = 7*f + 24. Is g(f) composite?
False
Suppose -t + 1191 = -f, t + 2*f = -2*f + 1201. Is t composite?
False
Let r(d) = -3*d - 2. Let f be r(-1). Suppose 0 = o - 5 + f. Is ((-53)/o)/(7/(-28)) composite?
False
Let r(n) = -n**3 + 5*n**2 - 4*n - 1. Suppose 15 = 4*h + h. Let u be r(h). Suppose 5*k + 4*i - 361 = 2*k, -u*k = 4*i - 615. Is k prime?
True
Suppose -5*g = 5*n - 195, 0 = 3*n - g - 50 - 51. Is (-4175)/5*n/(-25) composite?
True
Let y(s) = -2*s**3 - 22*s**2 - 2*s + 2. Is y(-16) composite?
True
Let b be (-22)/4*5*130/25. Is (-38445)/b - (-4)/26 composite?
False
Suppose o + 197 + 399 = 0. Let c = 697 - o. Is c a composite number?
True
Suppose 2*a = 7*a - 1150. Let q = a + -112. Suppose -3*l + s + 133 = -q, -2*s = -2*l + 170. Is l prime?
True
Let q be 1360/8*1/2. Suppose 80*k = q*k - 1175. Is k composite?
True
Suppose -5*y = 3*z - 3 + 12, -4*z + y + 11 = 0. Suppose z*p = 62 + 16. Is p a composite number?
True
Let c = 5 - 0. Suppose -2 + 12 = c*j. Is 11/22 - (-109)/j a prime number?
False
Let l(k) = 3*k + 2075. Let p be l(0). Is p/35 + (-4)/14 a prime number?
True
Let s be (-2 - (-3)/3) + -3. Is s - ((-158 - -4) + 4) a composite number?
True
Let v be (-1)/((-1)/3) + 515. Let x = 1039 - v. Is x a prime number?
True
Suppose -2*k + 2*h = -194 - 182, -2*h = k - 182. Let t = 715 - k. Is t composite?
True
Let a be (-2)/(-8)*7*4. Suppose 3*j + 664 = o, 0 = 4*o - a*o - 5*j + 1922. Is o a composite number?
True
Let w = 31 + -31. Is (-1)/(3/(-627) + w) composite?
True
Let f(r) = r**3 - 3*r**2 + 2*r. Let a be f(2). Suppose -3*x - 2*j + 1437 = 3*j, -j = a. Is x prime?
True
Let t = 6 + 4. Let r(j) = j**3 - 8*j**2 - 10*j + 9. Is r(t) a prime number?
True
Let o(v) = 33*v**2 + 11*v + 3. Is o(8) a prime number?
True
Let g be (-35)/(-11) + 6/(-33). Suppose g*l - 7*l = -3932. Suppose 176 = -3*m + l. Is m a prime number?
True
Suppose 538*p - 519*p = 80731. Is p prime?
False
Let f = -8 - -22. Suppose 7604 = f*c + 30. Is c a composite number?
False
Let j = 44 + 243. Suppose j = y - 566. Suppose -134 - y = -3*x. Is x composite?
True
Let a = 229 - 226. Suppose 2*l - s - 449 = 4*s, 3*s - 937 = -4*l. Suppose -a*j - j = -l. Is j a prime number?
False
Suppose 7*a - 1200 = 10777. Is a prime?
False
Suppose -2*g = 4*m + 1370, -6*g = -4*m - 4*g - 1366. Let j = -223 - m. Is j prime?
False
Let w(q) = 2*q**3 - 10*q**2 + 10*q + 2. Let z be w(7). Suppose -3*g = -77 - z. Is g a prime number?
False
Let q = -958 - -1593. Is -4*q/(-10)*1 composite?
True
Let f(p) = 5*p - 2. Let h be f(4). Let s be (-4)/(-18) + 8726/h. Suppose 0 = -5*j - 0*j + s. Is j composite?
False
Suppose 3*l - 38385 = -3*w, w - 11374 - 1397 = 5*l. Is w a composite number?
False
Let u = 16093 + -9914. Is u prime?
False
Suppose 6*d = 2*d - 56. Let u = -14 - d. Suppose -4*i = -0*t - 2*t - 62, u = -i - 2*t + 3. Is i prime?
True
Let z(u) = 329*u - 711. Is z(28) a composite number?
False
Let d = -8168 + 18277. Is d prime?
False
Suppose 2*z = -3*z + 20. Suppose -y - 2*q + 7 = 0, 0 = -5*q + z + 1. Suppose -2*a - 658 = -4*x, x + a = y*a + 154. Is x prime?
False
Let q(g) = 22*g**2 + 3*g - 6. Let r be q(-4). Let i = r + -41. Is i a prime number?
True
Let t(o) = 44*o**2 + 2*o + 7. Is t(-3) a composite number?
False
Suppose -3*y = g - 85339, g + 57191 = 3*y - 28152. Is y composite?
False
Let q(r) = -8 + 7 - 269*r + 19 + 18 + 268*r. Suppose -4*t + 3*j + 75 = 0, -j - 50 = -2*t + 3*j. Is q(t) composite?
True
Let b(l) = 71*l + 4. Is b(18) prime?
False
Let r(g) = -23*g**2 + 3*g + 37. Let c(k) = -69*k**2 + 7*k + 111. Let l(w) = -6*c(w) + 17*r(w). Is l(-11) a composite number?
False
Let c(n) = 16*n + 34. Let h be c(-9). Let l = h - -1101. Is l a composite number?
False
Let a = 7825 - 3047. Suppose 2*k - 5*k + 3583 = -d, 4*k - d = a. Is k a prime number?
False
Suppose 39*l = 12*l + 1121985. Is l a composite number?
True
Let i(f) = -3*f**2 - 4*f**2 + 9*f**2 - 11*f + 13 + 7*f**2. Is i(6) composite?
False
Let f = -78 + 125. Suppose -2496 = -4*x - 4*h, -4*h + 686 = x + f. Is x prime?
True
Let w = 32 + 92. Suppose -r + 5*r = w. Is r a prime number?
True
Suppose -3*n = -n - 2. Let m be (-55)/2*(n - 11). Suppose -r = -6*r + m. Is r composite?
True
Suppose 6*c - 4*c + 8 = 0. Is ((-287)/(-3) - (-6 - c))*3 a composite number?
False
Let n(t) = -t**3 + 14*t**2 + 14*t + 16. Let b be n(15). Is (3836/(-4))/(-2 + (b - 0)) prime?
False
Suppose r - 15420 = -5*p, -19*r + 21*r - 30780 = 2*p. Is r prime?
False
Suppose 2*j + 17658 = 5*k + 2429, 9153 = 3*k + 4*j. Is k a prime number?
False
Suppose 0 = 5*r - 45 - 15. Suppose 3*f + r = 0, 75 = 3*p + 5*f - 103. Let o = p - -17. Is o composite?
False
Suppose 4*m - 2382 = -2*s + 934, 3*s - m = 5009. Suppose 0 = -3*n + 369 + s. Is n prime?
False
Suppose 3518 = -77*l + 79*l. Is l a composite number?
False
Let t(g) = -5*g**3 - 12*g**2 - 9*g - 3. Is t(-8) a composite number?
False
Let w = -532 - -1186. Suppose 162 + 166 = 2*q + v, 4*q - w = -v. Is q a prime number?
True
Suppose 0 = 29*d - 39*d + 353630. Is d prime?
True
Let j = -16 + 20. Suppose 159 = 5*m - j*m. Suppose 0 = -p - 0*p + m. Is p a prime number?
False
Suppose 0 = -6*z + 24 + 78. Suppose 452 = z*k - 13*k. Is k a composite number?
False
Suppose -19 - 1 = 4*v. Let j be (-13)/(2 - v/(-2)). Let u = -3 + j. Is u prime?
True
Let v(c) = 14*c**2 + 18*c - 69. Is v(10) a prime number?
True
Let q = -4944 + 10915. Is q a prime number?
False
Let f(t) = -3*t - 7 - t**2 - 2*t**2 + 0*t**2 + 4*t**2. Suppose -p + 15 = 2*i + 4*p, 2*p - 25 = 3*i. Is f(i) a prime number?
False
Suppose -5*v + 3*a = 4*a + 557, 5*v = -5*a - 565. Let b = 542 - v. Is b a prime number?
True
Let u(p) = -p**3 + 6*p**2 + 8*p - 2. Let g be (0/(-2))/(-2 + 4). Suppose g = -10*d + 8*d + 12. Is u(d) a prime number?
False
Let m(f) = -f**3 - f**2. Let t(x) = 5*x**3 + 19*x**2 + 15*x + 26. Let p(l) = -6*m(l) - t(l). Is p(15) prime?
True
Let u(c) = 778*c**2 + 4*c + 11. Is u(6) composite?
True
Suppose 0 = 90*p - 36*p - 181062. Is p a composite number?
True
Let k = -4938 + 10322. Suppose 2648 = 3*q - o - 1380, 2*o = -4*q + k. Suppose 5*g - q - 419 = -3*t, -2*t = -3*g + 1073. Is g a prime number?
False
Let n(d) = -51*d**3 + 2*d | {
"pile_set_name": "DM Mathematics"
} |
0.3 (b) -5 (c) g
c
Let w = -0.4 - 1.7. Let k = w - -2. Let o = 0.7 + -0.2. What is the nearest to k in o, -1/2, 0?
0
Let k = -287/4 + 72. What is the closest to -1 in k, -2/7, 0.2?
-2/7
Let n = 21 + -18. What is the nearest to -3/4 in n, 2/3, -3?
2/3
Let i be (15/(-25))/((-2)/5). Let l = 41 - 699/17. Let n = -23/51 - l. Which is the nearest to n? (a) 0.5 (b) i (c) -1
c
Let h(d) = -d - 5. Let y be h(-9). Let c be 1 - (y/(-22) + 1). What is the nearest to 0 in 2/5, 2, c?
c
Let u = -191/18 - -21/2. Which is the nearest to -2? (a) 2 (b) -3 (c) u
b
Suppose 0 = 3*d - 3*t + 12, 5*d - 3*t = d - 16. What is the closest to -1 in 0, d, 3/8?
0
Let q = 9 - 8.98. Let z = q + -0.01. Let j = z - -0.99. Which is the closest to j? (a) -4/3 (b) -1/9 (c) -5/6
b
Let g(k) = k**2 - 8*k + 15. Let o be g(6). Let p be ((-1)/(-5))/(o + -4). Which is the closest to -2? (a) -1 (b) p (c) -2
c
Let n = 0.43 - -0.07. Let t = 12/23 - 202/299. What is the closest to -0.1 in n, t, -0.2?
t
Let u = -50 + 61. Which is the closest to 1? (a) 5 (b) 0.2 (c) u
b
Let x = -0.17 + 1.17. Suppose -2 = 3*j - j. Which is the nearest to x? (a) 0 (b) 1 (c) j
b
Let c = -23/5 + 5. Let r = 6 + -2. What is the closest to -1 in r, c, 0.1?
0.1
Let x = -47/4 + 12. Let z be (-3)/(-12)*2*194. Let v = z - 482/5. Which is the closest to -3? (a) v (b) x (c) 5
b
Let c = 71/2 + -35. What is the nearest to c in 9, -1, 0.2?
0.2
Let o = -14 - -22. Let p = o - 7. What is the closest to -0.1 in p, 1/7, 4?
1/7
Let u be (-1)/3 - 7/24. Let r = 272 + -6529/24. Let o = r + u. Which is the closest to o? (a) 2 (b) -2/7 (c) 0
b
Let l(y) = -y**2 + 11*y + 4. Let f be l(12). Let r = f + 7. Let z be (r - 2) + (-74)/(-24). What is the closest to 0 in -0.2, -0.3, z?
z
Let p = 1.5 - 6.5. Let d = -6/7 - -44/35. Which is the closest to d? (a) -0.5 (b) 1 (c) p
b
Let y be -1 - ((-54)/14)/3. What is the closest to 2/3 in 1/5, y, -1?
y
Let o(s) = -2*s**2 + 6*s - 2. Let c be o(4). Let j be (4/(-5))/(2/c). Let h be j/(-14) - 57/21. What is the closest to 1 in h, 0.4, 0?
0.4
Let g be -4 + 2 - (-7)/2. Let d = -8.3 - -1.3. Let m = 6.7 + d. What is the closest to -1 in -5, g, m?
m
Let p be 14/(-21) - (-16)/18. Let d = 0.07 + 1.53. Let g = -2 + d. Which is the closest to 0? (a) g (b) p (c) 1/10
c
Let y = -20527/3 - -6756. Let h = y + 87. Let p = 0.07 - 0.37. Which is the nearest to -1? (a) 3 (b) p (c) h
b
Let o = -9.76 + 17.79. Let x = o - 0.03. Let p = 7 - x. What is the nearest to 0.1 in p, -1/3, 2/11?
2/11
Let d = -2.5 + 1.5. Let q = -4 - 1. What is the closest to -0.1 in -3, d, q?
d
Let m be (-80)/(-96) - (-2 + (-16)/(-6)). Which is the nearest to 1? (a) -2/5 (b) m (c) 1
c
Suppose -x + m = -6, 5*m + 8 = 3*m. Let v be 2*4/(-16)*x. What is the closest to v in -5, 1/3, -1/7?
-1/7
Let v be (-9)/30*8 + 2. What is the nearest to -2/7 in 0.4, v, 2?
v
Let j be (-2 + 3)*1/3. Let f = 19 + -60. Let t = f - -124/3. What is the closest to t in -5, 5, j?
j
Let q = -111 - -118. Let t be ((-4)/10)/((-4)/(-25)). Which is the nearest to 0.1? (a) q (b) t (c) -0.3
c
Suppose -3*i = -3*y - 33, 2 = -4*i + 5*y + 45. Let h = i + -11. Which is the closest to -2/3? (a) 0 (b) -2 (c) h
a
Let j = 3 + -3.3. Let h = 2/269 + -556/2421. Let i = -0.2 - -2.2. Which is the closest to i? (a) -3 (b) h (c) j
b
Let g = 0 + -2. Let q = -8.3 + 8. Suppose 0 = 5*p + 2 + 3. Which is the closest to p? (a) g (b) -1 (c) q
b
Let s = 0.1 - 0.1. Which is the nearest to 0? (a) -0.1 (b) 2 (c) s
c
Let u(f) = f**2 - 2. Let w be u(2). Let z = 55 + -52. What is the nearest to 1 in w, -4, z?
w
Suppose 3*x = -0*x - 12, 0 = -4*k - x - 16. Let r be -1 + (5/2 - 1). What is the nearest to r in 0, -3/7, k?
0
Let k = -1 - 0. Let s = 0.042 - -1.958. Which is the closest to 1? (a) k (b) 4 (c) s
c
Let q be (10/(-5))/4*2. Which is the nearest to q? (a) -2/21 (b) 1 (c) 2/21
a
Let u be (8/410)/(2*2/(-10)). What is the nearest to 0.1 in 0, -0.3, u?
0
Let r = 2.8 - 4. Let s = 0.8 - r. What is the nearest to s in 1, -1/5, 0.5?
1
Let x be (0 - (-2)/(-4))/(-2). Let h be (1*(-2)/6)/1. Let g = -21 + 26. Which is the closest to x? (a) g (b) h (c) 0
c
Let y = -2 + -2. What is the closest to 1 in 2/17, y, -2/9?
2/17
Suppose 3*b = -l - 2*l + 24, l = -5*b + 28. Suppose -25 = 5*w + 5*d, w - b*d = 5*w + 23. What is the closest to 0.1 in w, 5, -3?
w
Let c be (13/60)/((-24)/(-10)). Let a = 1/36 - c. Let u = 29/48 - a. What is the closest to 1 in 3/7, -4, u?
u
Let p = -1 + 1. Let w = p - 1. Let f = -23.1 + 22.6. What is the nearest to w in f, -3, 0.5?
f
Let u = 2 - 2. Let s = u - 0.1. Let q be (-1)/5*(-10)/8. What is the closest to 0 in 5, q, s?
s
Let b(l) = -l + 1. Let u be b(5). Let m be (4 + -2)*5/25. Let v = -4 + 1. What is the closest to m in u, 1, v?
1
Let d = -1.7 + 1.9. What is the nearest to d in 0.1, 0.4, 2/11?
2/11
Let h = -17 - -18. Which is the nearest to h? (a) 3 (b) 0.1 (c) 4
b
Let h = -30 - -31. Let d = -3.06 + 0.06. What is the nearest to h in d, -1, 2/23?
2/23
Let l be (-4)/(-40)*(9/6 - -1). Which is the closest to l? (a) 2 (b) -2/21 (c) -4
b
Let p = -5707 - -251081/44. Let w = 4/11 + p. What is the nearest to 0.1 in -4, -3, w?
w
Let w = -2.88 - 0.12. Which is the closest to -0.2? (a) 5 (b) 2 (c) w
b
Let r = 144 + -148. Which is the nearest to 0.2? (a) r (b) 1 (c) -0.3
c
Suppose -5 = -h - 2. Suppose -2*x = -5*l - 15, h*x - 3*l - 13 = x. Suppose -d + x = -0*d. Which is the nearest to -1/2? (a) 2 (b) d (c) -0.4
c
Let y = 0.107 + -2.107. What is the nearest to -0.1 in -2/13, 4, y?
-2/13
Let j be (-1)/(-4) - 1/2. Let f = 252 - 748/3. Let o = -46/15 + f. What is the nearest to j in o, 1/4, 4?
o
Let q = 12 - 15. What is the closest to 0.1 in q, -0.1, 3/8?
-0.1
Let d = 2.9 + -2.7. What is the closest to d in -5/4, -0.1, -4?
-0.1
Suppose 0 = -8*m + 4*m. Suppose -2*y = -m*y. Suppose -5*d = -y*d. Which is the nearest to 0? (a) d (b) 0.4 (c) 4
a
Let m = -5.3 - -5.4. What is the closest to m in 2, -12, 2/9?
2/9
Let z = -0.3 - -0.1. Let w = -7 + 5. Let s be 2*(-1 - 3/w). Which is the nearest to s? (a) z (b) 0 (c) -6/11
b
Let w = 0.07 + 0.03. Let x = 0.06 - -0.54. Let t = -4.6 + x. What is the nearest to w in -1/4, 0.3, t?
0.3
Suppose 0 = -4*u + 3 + 13. Suppose -20 = 5*q - 5. Let h = 26/3 - 28/3. What is the closest to h in q, 2, u?
q
Let i = 0.38 - 0.58. What is the nearest to -0.4 in 3/7, 1, i?
i
Suppose 2*t = 5 + 5. Let z = 0.7 - 0.4. Which is the nearest to 0? (a) t (b) 3 (c) z
c
Let g be (-2)/(-7) - (-19)/7. Suppose g*r = -2*r. Let w be (0 - r)*(1 + -2). Which is the closest to w? (a) 0 (b) 4/3 (c) 0.5
a
Let n = -0.34 + -0.06. Let f = 0.6 - n. Let u = 0.08 - -0.22. Which is the closest to f? (a) -2/3 (b) -4 (c) u
c
Let g = -1.3 - -1.2. What is the closest to 2 in 1, -5, g?
1
Let f = -9 - -8.93. Let o = f - 4.93. Let p be 3/(-6) + (-1)/(-2). What is the closest to 0 in p, 0.2, o?
p
Let k be (-3)/(3/((-9)/6)). Which is the nearest to 4? (a) k (b) -3 (c) 1
a
Suppose 0 = 3*h - 3, -5*o - 3 = -h - 2. Let k = -31 + 63/2. Let z = 0 - 0. What is the nearest to z in 0.4, o, k?
o
Let z = 59.6 + -65. Let o = 5 + z. What is the nearest to -1/2 in -1, -4, o?
o
Let f be (8/(-20))/((-6)/30). Suppose c + f = -2*v - 2, 0 = 3*v + 3. Let t = 8 - 3. What is the closest to -0.3 in t, c, 0.4?
0.4
Let b(n) = n**3 + 6*n**2 - 6*n - 4. Let x be b(-7). Let c = x + 56/5. Let y = 0.1 - 0. What is the closest to c in y, -2, -1?
y
Let b = 97 - 166. Let x = 481/7 + b. Let f = -10 + 7. What is the nearest to f in x, -0.4, 4?
-0.4
Suppose 2*l - 13 = 3*y, l - 18 = 5*y - 1. Let f be (-3)/6 + y/12. Which is the closest to 0? (a) -0.3 (b) 5 (c) f
a
Let q = -0.3 + 2.3. Which is the closest to q? (a) -2 (b) -5 (c) -0.3
c
Suppose 13*y = 26*y + 13. Which is the nearest to 0.1? (a) y (b) -5 (c) -1/7
c
Let g = 726/305 + 342837/3965. Let u = -89 + g. What is the nearest to -0.1 in -2, -5/2, u?
u
Let u = -47.7 - -48. What is the closest to 2 in u, 0.4, 14?
0.4
Let r = -2.944 + -0.056. Which is the nearest to -0.1? (a) -1/5 (b) 4/7 (c) r
a
Let g = -1.67 - 0.33. Which is the closest to g? (a) 5 (b) -3 (c) 2
b
Let c be ((-16)/(-6) + -3)/(2*-1). Let p = -0.04 + -2.96. What is the nearest to 0 in p, c, -5?
c
Let h = 1.61 - -2.27. Let m = h + 0.12. Let x | {
"pile_set_name": "DM Mathematics"
} |
4, -339, -576, -897?
-1314
What is the next term in -2393, -9562, -21509, -38234, -59737, -86018?
-117077
What is next in 113, 261, 409, 557?
705
What is the next term in 14, 2, -32, -100, -214?
-386
What is the next term in -457, -460, -463?
-466
What is next in -621, -1248, -1887, -2544, -3225, -3936, -4683, -5472?
-6309
What comes next: -11, -11, -9, -5, 1, 9?
19
What comes next: 399, 408, 439, 504, 615, 784, 1023?
1344
What is next in 161, 317, 455, 569, 653, 701, 707?
665
What comes next: 15, -12, -39?
-66
What is the next term in 31, 32, 33, 34?
35
What is next in 23, 118, 281, 518, 835, 1238?
1733
What comes next: 28, 60, 92, 124?
156
What comes next: 266, 524, 782, 1040, 1298, 1556?
1814
What is next in 45, 66, 105, 162, 237, 330?
441
What comes next: -70, -150, -230, -310, -390?
-470
What is next in -78, -79, -80, -81?
-82
What is the next term in -1, 6, 17, 32?
51
What is the next term in 2, 4, 6, 8, 10, 12?
14
What comes next: -24, -26, -28, -30, -32, -34?
-36
What is the next term in 25, 68, 137, 232, 353, 500?
673
What comes next: 10, 108, 276, 520, 846, 1260?
1768
What comes next: 5, -34, -181, -490, -1015, -1810, -2929, -4426?
-6355
What is the next term in 7, 61, 203, 475, 919, 1577, 2491, 3703?
5255
What comes next: 1, -11, -33, -71, -131, -219?
-341
What comes next: 2389, 2388, 2387?
2386
What is the next term in 8, 15, 22, 29?
36
What comes next: 7, 27, 57, 103, 171, 267, 397?
567
What is next in -1101, -1099, -1091, -1071, -1033, -971?
-879
What comes next: -21, -26, -31?
-36
What is next in -24, -55, -86, -117, -148, -179?
-210
What is next in 861, 1731, 2603, 3477, 4353, 5231, 6111?
6993
What comes next: 35, 44, 69, 116, 191?
300
What is the next term in 39, 64, 79, 78, 55, 4, -81?
-206
What is the next term in 27, 85, 143, 201, 259?
317
What is next in -196, -389, -582, -775?
-968
What is next in -1677, -3351, -5025, -6699, -8373, -10047?
-11721
What comes next: -25, -20, 31, 152, 367?
700
What comes next: 11, -55, -277, -733, -1501, -2659, -4285?
-6457
What is next in 121, 118, 115, 112, 109?
106
What is next in -5532, -5531, -5530, -5529, -5528?
-5527
What is the next term in 36, 154, 352, 630, 988, 1426?
1944
What comes next: 0, -13, -50, -123, -244, -425?
-678
What is next in 7, 15, 23, 31?
39
What is the next term in 28, 32, 36, 40, 44?
48
What is next in -13, -22, -31, -40, -49?
-58
What comes next: 3979, 7949, 11919, 15889?
19859
What comes next: 212, 426, 640, 854, 1068?
1282
What is the next term in 27, 38, 49, 60?
71
What is the next term in 11358, 22714, 34070, 45426?
56782
What is the next term in 57, 104, 129, 120, 65?
-48
What comes next: 18, 70, 150, 252, 370, 498?
630
What comes next: -203, -202, -201, -200, -199, -198?
-197
What is next in 91, 74, 43, -8, -85, -194, -341, -532?
-773
What is the next term in -19, -24, -33, -46?
-63
What is the next term in -135, -580, -1325, -2370, -3715, -5360?
-7305
What is the next term in 45, 71, 87, 87, 65?
15
What comes next: -149, -141, -123, -89, -33, 51, 169, 327?
531
What is the next term in 9, -3, -39, -111, -231?
-411
What is next in 28, 50, 68, 82, 92, 98?
100
What is next in -21, -50, -85, -132, -197?
-286
What is the next term in -80, -176, -288, -416, -560, -720?
-896
What is next in -5, -34, -111, -260, -505, -870?
-1379
What comes next: -7, -48, -107, -178, -255, -332, -403?
-462
What is the next term in -29, -46, -73, -116, -181, -274, -401, -568?
-781
What is the next term in -2, 7, 30, 73, 142?
243
What is next in -1797, -3580, -5361, -7140, -8917?
-10692
What comes next: 45, 16, -25, -72, -119?
-160
What comes next: -560, -576, -598, -626, -660, -700?
-746
What is next in -99, -211, -397, -657?
-991
What comes next: 8, 38, 90, 164, 260, 378, 518?
680
What is the next term in 149, 142, 135, 128?
121
What comes next: 42, 79, 110, 135?
154
What is the next term in 110, 227, 358, 509, 686, 895, 1142?
1433
What comes next: -25, -20, -11, 2, 19, 40, 65?
94
What is next in 48, 84, 120, 156?
192
What comes next: -46, -78, -110, -142, -174, -206?
-238
What comes next: -1952, -3899, -5846, -7793, -9740?
-11687
What is the next term in 8, 21, 34, 47, 60, 73?
86
What is the next term in 5795, 5799, 5805, 5813?
5823
What is the next term in -571, -570, -569?
-568
What is the next term in -98, -409, -920, -1625, -2518, -3593?
-4844
What is next in 117, 235, 353?
471
What is next in 2, 9, 20, 35, 54?
77
What is next in -357, -1441, -3247, -5775, -9025, -12997, -17691?
-23107
What is the next term in -135, -203, -271?
-339
What comes next: -853, -1702, -2547, -3388, -4225, -5058, -5887?
-6712
What is the next term in 325, 313, 287, 241, 169, 65?
-77
What comes next: -15, -35, -59, -87?
-119
What is the next term in -22, -31, -38, -43?
-46
What is the next term in -81, -91, -113, -153, -217?
-311
What comes next: 56, 65, 74, 83?
92
What is next in 19278, 19274, 19268, 19260, 19250?
19238
What is the next term in -17, 24, 107, 238, 423, 668?
979
What is next in -193, -772, -1741, -3106, -4873, -7048, -9637?
-12646
What is the next term in 8, -40, -172, -430, -856, -1492?
-2380
What comes next: 86, 97, 110, 125?
142
What is next in -3, 0, -11, -48, -123, -248, -435?
-696
What comes next: 224, 225, 226, 227, 228, 229?
230
What is the next term in -283, -290, -311, -352, -419, -518, -655?
-836
What comes next: 3, 29, 73, 135, 215, 313?
429
What is the next term in 77, 148, 219, 290, 361?
432
What comes next: -30, -46, -62, -78, -94, -110?
-126
What comes next: 8839, 8837, 8835, 8833, 8831?
8829
What is the next term in -31, -51, -61, -61, -51, -31?
-1
What comes next: 160, 319, 480, 643?
808
What is the next term in 59, 117, 175, 233?
291
What is next in -64, -107, -224, -451, -824?
-1379
What is next in 742, 744, 746, 748, 750?
752
What is next in 20, -2, -24, -46, -68?
-90
What is the next term in -99, -825, -2801, -6651, -12999, -22469, -35685, -53271?
-75851
What is the next term in -3499, -3501, -3503, -3505?
-3507
What comes next: 17, -26, -69?
-112
What is the next term in -27, -88, -185, -318, -487?
-692
What comes next: -20, -25, -34, -47, -64, -85, -110?
-139
What is next in 50, 103, 156?
209
What is next in 99, 83, 51, -3, -85?
-201
What is next in -15, -68, -157, -282, -443?
-640
What is the next term in 21, 42, 63, 84?
105
What is the next term in 40, 25, -14, -89, -212?
-395
What is next in 217, 428, 639, 850, 1061, 1272?
1483
What is next in 11, 38, 83, 146, 227?
326
What is the next term in 193, 168, 117, 28, -111, -312?
-587
What is the next term in 92, 125, 160, 197?
236
What is next in -40, -54, -74, -100, -132, -170, -214?
-264
What is next in 318, 324, 330, 336?
342
What is next in 157, 222, 287, 352?
417
What is the next term in -401, -1593, -3579, -6359, -9933, -14301?
-19463
What comes next: 10, 38, 106, 232, 434, 730?
1138
What is the next term in 504, 501, 500, 507, 528, 569?
636
What is next in -26, -143, -338, -611, -962, -1391?
-1898
What comes next: -17, -27, -45, -71?
-105
What is the next term in -17, -6, 5, 16, 27?
38
What is the next term in -10, -70, -170, -310, -490, -710?
-970
What is next in -273, -553, -835, -1119?
-1405
What comes next: 146, 288, 428, 566, 702, 836?
968
What comes next: 2486, 2484, 2472, 2444, 2394, 2316, 2204, 2052?
1854
What comes next: -198, -192, -176, -144, -90, -8, 108?
264
What is the next term in 461, 453, 431, 389, 321, 221, 83?
-99
What is the next term in -35, -18, 13, 64, 141?
250
What comes next: 65, 23, -21, -67, -115, -165?
-217
What is the next term in 109, 206, 287, 346, 377?
374
What comes next: -307, -630, -943, -1240, -1515, -1762, -1975, -2148?
-2275
What is next in 3, -10, -13, 0, 35, 98?
195
What is the next term in -2908, -2906, -2904, -2902, -2900?
-2898
What is next in 1584, 1591, 1598, 1605?
1612
What is next in -2491, -4981, -7469, -9955, -12439, -14921, -17401?
-19879
What is next in 10, -1, -34, -101, -214?
-385
What comes next: 60, 64, 68, 72?
76
What is next in 26, 102, 230, 410, 642, 926?
1262
What comes next: 158, 602, 1342, 2378, 3710, 5338?
7262
What is next in -13, -25, -53, -103, -181, -293, -445, -643?
-893
What comes next: -59, -65, -71?
-77
What is next in -91, -94, -97, -100, -103, -106?
-109
What is the next term in 3137, 3141, 3147, 3155, 3165?
3177
What comes next: | {
"pile_set_name": "DM Mathematics"
} |
se 0 = -3*d + 12, -5*j = -7*j - d + 58. Suppose -k = 16 - 97. What is the highest common divisor of j and k?
27
Let n(y) = -y**3 + 15*y**2 + 17*y - 16. Let c be n(16). Suppose -s + c*s = 4*a - 115, -3*a - 3*s + 93 = 0. What is the greatest common factor of 14 and a?
14
Let z be (-1648)/12 + 3/9. Let j = z - -258. Suppose q - 5*m - j = -2*q, 4*m - 214 = -5*q. What is the greatest common factor of q and 28?
14
Let h(p) = -17*p**2 - 15*p - 13. Let s be h(8). Let j be 4 + 28/(-8) + s/(-6). Calculate the highest common divisor of 51 and j.
51
Suppose 5*x = -15, 3*z - 8211 = -4*x + 5709. What is the highest common factor of z and 108?
108
Let t(n) = n**2 + 3*n - 5. Let o be t(-5). Let m be o*(-2 + 3) - -1. Suppose 0*d = m*d - 192. What is the highest common factor of 16 and d?
16
Let p be 16776/288 - 1/4. Calculate the greatest common factor of 4 and p.
2
Let s = 166 + -145. What is the greatest common factor of s and 231?
21
Let b be (6 + -4)/((-4)/(-6)). Suppose -4*o + 0*n + 4*n + 220 = 0, b*n - 135 = -2*o. Calculate the highest common factor of 24 and o.
12
Let b(d) = -46*d**2 - 3*d + 3. Let j be b(-3). Let h be j/(-18) - ((-7)/(-3) - 1). What is the greatest common factor of 35 and h?
7
Suppose -14*s + 5 = -9*s. Let u(z) = 47*z**2 - z + 2. Let y be u(s). Calculate the highest common divisor of 6 and y.
6
Let t = 86 - 44. Suppose 11*y = 14*y - t. Calculate the greatest common factor of 14 and y.
14
Let d(l) = 9*l**2 + 1. Let q be 1*(-1 - 0)*1. Let r be d(q). Let f = 43 - 33. Calculate the greatest common divisor of f and r.
10
Suppose 3*p - 2*j = -5*j - 3, -3*p + 3*j = 3. Let q be (1 - p)*3 + 1 + -1. Calculate the greatest common factor of q and 42.
6
Let v be ((45/20)/(-3))/(2/(-56)). Suppose -3*b = -v - 144. What is the greatest common divisor of 5 and b?
5
Let g(y) = -2*y**2 + 21*y - 4. Let h be g(10). Calculate the greatest common factor of h and 12.
6
Let z be (-13)/(-2)*6*-11. Let u = -297 - z. What is the highest common factor of 12 and u?
12
Suppose 13 + 8 = 3*u - 3*k, -2*k = -3*u + 20. Let z be 1348/28 - (-8)/(-56). What is the greatest common divisor of u and z?
6
Let n(q) = -3*q + 55. Let r be n(17). Suppose 3*b + w - 296 = 0, -r*b = -5*w + 58 - 459. Calculate the highest common factor of b and 9.
9
Suppose 14*a - 1839 + 495 = 0. What is the greatest common factor of 36 and a?
12
Suppose 2*j + 1600 = 4*q, -19*j = -15*j. Calculate the greatest common divisor of 176 and q.
16
Let a = 20 - 10. Suppose 17*v - 22*v + 450 = 0. Calculate the highest common divisor of a and v.
10
Let c(m) = 2*m**2 + 42*m + 142. Let n be c(-30). What is the greatest common divisor of n and 62?
62
Suppose -5*l - 21 = -3*a, 2*l - 4*l = 2*a + 2. Suppose 2*w + 4*y = 6*w - 4, -2*y + 10 = a*w. Calculate the greatest common factor of 6 and w.
3
Let n(o) = o**2 - 3*o + 25 - 52 + 26 + 2*o**2. Let z be n(3). What is the greatest common factor of z and 153?
17
Let f(s) = 13*s**3 + s**2 - s - 1. Let r(p) = 2*p + 0*p + 2*p + 8 - 3*p. Let w be r(-6). Let h be f(w). What is the highest common factor of 15 and h?
15
Let q = -11 + 23. Let o = q - 0. Calculate the greatest common factor of 6 and o.
6
Let z be (-48)/(-408) - (-444)/(-17). Suppose -8 = 4*v, 3*c + 0*c + 5*v = 122. Let m = c + z. Calculate the greatest common divisor of 6 and m.
6
Let g be 10/(-45) + 542/9. Suppose 3*o = 6*o + 4*s - 29, 3*o - 2*s - 53 = 0. What is the greatest common divisor of g and o?
15
Let m = -4 - -3. Let u(a) = -a - 1. Let q(s) = -3*s - 5. Let f(z) = m*q(z) + 4*u(z). Let i be f(-8). Calculate the highest common divisor of 9 and i.
9
Let z be 1593/(-18)*-4 - (-3)/(-1). Calculate the greatest common factor of 27 and z.
27
Let u be 9218/286 - 6/26. Calculate the greatest common factor of 64 and u.
32
Let d = 5 + -15. Let n = d + 0. Let m be (-2)/4*n/1. Calculate the greatest common factor of 2 and m.
1
Let y = 1871 - 1759. Suppose -2*j - 11 = 11. Let n = j - -25. Calculate the greatest common factor of n and y.
14
Suppose 0 = -h + 5*h. Let u(d) = d**3 + d**2 - d + 198. Let z be u(h). Let t be 8/32 - z/(-8). Calculate the greatest common factor of t and 125.
25
Let g(a) = 11*a - 13. Suppose z + 40 = 5*t, 3*t - 24 = -0*z - 2*z. Let w be g(t). Let q = -5 + 35. What is the highest common divisor of q and w?
15
Suppose 5*j - 1068 = -8*r + 4*r, -2*r + 426 = 2*j. Let f be (9/15*5)/((-1)/(-90)). Suppose -23*d = -13*d - f. Calculate the highest common factor of d and j.
27
Let l be -1*(-1 - -1) + 81. Let q be -1 + (-1 - -6) + 0. Suppose -5*r - 25 = -0*r, -w + q*r + 29 = 0. Calculate the highest common factor of w and l.
9
Let s(x) = -5*x + 6. Let h be s(2). Let a be (-14 - -15)/(2/h) - -18. Calculate the highest common factor of 40 and a.
8
Let j be 2/8 - (243/(-4) + 1). What is the greatest common factor of 100 and j?
20
Suppose -76 = -5*j + 24. Let x be (-4)/(-30) + 374/(-330). Let h be 0 + 16/(x - -5). Calculate the greatest common factor of j and h.
4
Let t(n) = 7*n - 10. Let i be t(4). Suppose 2*v = -v + i. Suppose 2*d + 3 = 3*q - v, 2*d + 7 = q. Calculate the highest common divisor of 3 and q.
1
Let s be 13/(-11) - -1 - (-3577)/11. What is the highest common divisor of s and 75?
25
Suppose -2*s + u + 6 = 3*s, -2 = s - u. Let w = s + -1. Let y = w - 0. What is the greatest common divisor of 5 and y?
1
Let w be 10161/117 + 4/26. What is the highest common factor of w and 174?
87
Suppose -v - v + 10 = 0. Suppose -v*m - 5*o = -35, 0 = -4*m - 2*o + 31 - 3. Let p = -397 + 418. Calculate the greatest common factor of m and p.
7
Suppose -3*u - 9 = 4*s + 27, -5*s = 3*u + 42. Let b(c) = c**2 + 4*c + 16. Let p be b(s). Calculate the greatest common divisor of 42 and p.
14
Suppose 42*i - 32*i = 530. Calculate the greatest common divisor of 689 and i.
53
Let r(w) = -w + 23. Let b be r(-5). What is the greatest common divisor of b and 182?
14
Let k = 28 - 55. Let z be k*2*18/(-54). Calculate the highest common factor of z and 9.
9
Let n = -624 - -631. What is the greatest common factor of 77 and n?
7
Let u(h) = 6*h + 7. Let x be u(1). Let n = 20 + -19. What is the greatest common factor of n and x?
1
Suppose 0 = -5*y + y - h + 474, -4*y + 4*h + 484 = 0. Let z be 32/2 + (-2)/(-2). What is the greatest common factor of y and z?
17
Suppose 0*n = -2*n + 200. Calculate the greatest common divisor of n and 80.
20
Let h(x) = x**2 - 7*x + 14. Let c be (2 + -2)/((-2)/(-2)). Suppose -5*a + 6*a - 6 = c. Let l be h(a). Calculate the greatest common divisor of l and 88.
8
Let o(u) = -26*u - 30. Let f = -47 - -36. Let x be o(f). Calculate the highest common divisor of 16 and x.
16
Let u(l) = -l**3 - 14*l**2 - 6*l - 44. Let j be u(-16). Calculate the greatest common factor of j and 12.
12
Let u = 385 + -380. Calculate the greatest common factor of 5 and u.
5
Let x = 3 + 25. Let k = -27 + x. What is the highest common factor of k and 7?
1
Let z(a) = -161 + a + 87 - 5*a**2 + 0*a**2 + 91 - a**3. Let h be z(-5). Calculate the highest common factor of 6 and h.
6
Let a(p) = -p**3 - 6*p**2 - 8*p - 17. Let h be a(-6). What is the greatest common factor of 124 and h?
31
Let s = -585 - -643. What is the greatest common divisor of 522 and s?
58
Suppose -15*v - 9*v = 0. Suppose 5*r + 3*u - 1 = 0, 3*r + 3*u = -2 - 1. Suppose v*z + r*z = 374. Calculate the greatest common divisor of 17 and z.
17
Let p = 3537 - 2022. Calculate the highest common factor of p and 15.
15
Suppose 0 = -3*j - 4*v - 2, -4*v + 5*v = j - 4. Let n be -5 + 17 + j + -1. What is the highest common divisor of n and 169?
13
Let k(d) = d**3 + d + 64. Let p be k(0). Let m = 529 - 513. Calculate the highest common factor of m and p.
16
Suppose -4*b + 5412 = -4*s - 364, -5767 = 4*s - b. Let c = -935 - s. Calculate the greatest common divisor of c and 46.
46
Suppose -3*h + 2*d = -25 - 17, -4*h = -4*d - 52. Suppose -3*y + 4*v + 201 = v, 0 = 3*v + 9. What is the highest common divisor of h and y?
16
Let i = 3 + 13. Suppose 2*x - x - 4*z = 615, 0 = -x + z + 630. Suppose 8*u = -3*w + 3*u + 379, x = 5*w + 5*u. Calculate the greatest common factor of i and w.
16
Let b = 5 + -3. Suppose -v + 2*h + 106 = 3*v, 0 = -2*v - h + 43. Suppose l + 2*l = v. Calculate the greatest common divisor of b and l.
2
Suppose -9 = -5*q - 55*d + 56*d, 6*q + d - 13 = 0. Let f = -11 - -21. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
-282?
-443
What is the next term in 3, 47, 137, 285, 503, 803?
1197
What is next in 12371, 12373, 12375, 12377?
12379
What is the next term in 36, 56, 76, 96, 116?
136
What is the next term in 18, 16, 14?
12
What is the next term in -370, -365, -358, -349, -338?
-325
What comes next: 10, -3, -40, -113, -234?
-415
What comes next: -54, -147, -274, -435, -630, -859?
-1122
What comes next: -106, -115, -130, -151?
-178
What is the next term in -3189, -3179, -3155, -3111, -3041, -2939, -2799, -2615?
-2381
What is the next term in 1188, 1190, 1192?
1194
What is next in -5, -2, 5, 16, 31?
50
What is the next term in -2, -8, -16, -26, -38, -52?
-68
What is the next term in -342, -340, -338, -336, -334?
-332
What is next in 3, -18, -35, -42, -33, -2?
57
What is the next term in 16, 21, 42, 85, 156, 261?
406
What is next in 8, 39, 94, 173, 276, 403, 554?
729
What is next in 22, 110, 198?
286
What comes next: -133, -272, -411, -550, -689?
-828
What is next in 9, 8, -1, -24, -67, -136, -237?
-376
What is the next term in -145, -319, -495, -673, -853, -1035, -1219?
-1405
What is the next term in -175, -168, -161, -154, -147?
-140
What is next in -151, -142, -133?
-124
What is next in -166, -163, -158, -151, -142, -131?
-118
What is next in 199, 194, 187, 178, 167, 154, 139?
122
What comes next: -4049, -4050, -4051, -4052, -4053, -4054?
-4055
What comes next: 3003, 6008, 9013, 12018, 15023, 18028?
21033
What is next in 30, 64, 98?
132
What is next in 26, 25, 26, 29, 34, 41, 50?
61
What is next in -138, -292, -452, -618, -790, -968?
-1152
What is next in 32, 34, 36?
38
What is the next term in -810, -807, -802, -795?
-786
What is the next term in 8, 26, 44, 62, 80, 98?
116
What is next in -172, -173, -184, -211, -260?
-337
What comes next: -17, -35, -71, -131, -221?
-347
What is the next term in -13, -28, -43?
-58
What is the next term in -151, -166, -181, -196, -211, -226?
-241
What comes next: -732, -1469, -2216, -2979, -3764?
-4577
What is the next term in -602, -600, -598?
-596
What comes next: 37, 143, 321, 571, 893, 1287?
1753
What is next in -408, -813, -1218, -1623?
-2028
What is next in 8, -139, -286, -433, -580?
-727
What is the next term in 47, 348, 1171, 2780, 5439, 9412, 14963?
22356
What is the next term in -1816, -3630, -5444?
-7258
What comes next: 38, 60, 82?
104
What is next in 4, 26, 62, 112, 176?
254
What is the next term in 247, 1030, 2343, 4192, 6583, 9522, 13015, 17068?
21687
What comes next: -2299, -2285, -2271?
-2257
What comes next: 155, 323, 499, 683, 875, 1075, 1283?
1499
What is the next term in -5, -5, -3, 1, 7, 15, 25?
37
What is the next term in 16, 12, 6, -2, -12, -24, -38?
-54
What comes next: -87, -75, -63, -57, -63, -87, -135, -213?
-327
What is the next term in 128, 202, 276, 350?
424
What is next in 121, 88, 31, -50, -155?
-284
What is the next term in 12167, 24351, 36537, 48725, 60915, 73107, 85301?
97497
What is next in 31, 103, 219, 379, 583?
831
What is next in 1560, 1559, 1558?
1557
What is next in 373, 357, 333, 301, 261, 213?
157
What is next in -195, -193, -189, -183, -175, -165?
-153
What is the next term in 133, 262, 389, 514?
637
What is the next term in 38, 77, 116?
155
What is the next term in -1570, -1558, -1538, -1510, -1474, -1430?
-1378
What comes next: -40, -152, -334, -580, -884, -1240, -1642?
-2084
What is next in 561, 1128, 1697, 2268?
2841
What comes next: -5, -43, -151, -365, -721, -1255, -2003?
-3001
What is the next term in -43, -82, -129, -178, -223, -258, -277?
-274
What is next in 1460, 1457, 1464, 1487, 1532, 1605, 1712, 1859?
2052
What is the next term in -346, -450, -554, -658?
-762
What is the next term in -317, -321, -331, -353, -393, -457, -551?
-681
What is next in -123, -105, -69, -9, 81, 207?
375
What comes next: 25, 36, 9, -74, -231?
-480
What is the next term in 55, 115, 185, 271, 379, 515, 685, 895?
1151
What is the next term in 806, 808, 810?
812
What comes next: -170, -183, -204, -233, -270, -315?
-368
What is the next term in -11, -47, -113, -215, -359, -551, -797?
-1103
What is the next term in 861, 854, 857, 876, 917, 986?
1089
What is next in 191, 382, 571, 758, 943?
1126
What is the next term in -7, -13, -19?
-25
What comes next: 19, 41, 67, 97?
131
What is the next term in -283, -589, -891, -1189, -1483, -1773?
-2059
What is next in -94, -96, -98, -100, -102, -104?
-106
What comes next: 126, 183, 234, 273, 294, 291, 258, 189?
78
What is the next term in 36, 145, 326, 579, 904?
1301
What is the next term in -476, -915, -1354?
-1793
What is the next term in -85, -98, -109, -118, -125, -130, -133?
-134
What comes next: 976, 1956, 2938, 3922?
4908
What comes next: 3488, 3487, 3484, 3479, 3472, 3463, 3452?
3439
What is the next term in -552, -550, -548, -546, -544?
-542
What comes next: 34, 58, 92, 142, 214?
314
What is the next term in -231, -232, -225, -204, -163?
-96
What comes next: -42, -83, -130, -189, -266, -367?
-498
What is the next term in 1212, 1213, 1214, 1215?
1216
What is the next term in -52, -67, -82, -97, -112, -127?
-142
What comes next: -862, -869, -886, -919, -974, -1057?
-1174
What is the next term in 251, 248, 233, 200, 143, 56, -67, -232?
-445
What comes next: 127, 257, 397, 547, 707, 877?
1057
What comes next: 36, 96, 172, 270, 396?
556
What comes next: -15, -141, -357, -669, -1083?
-1605
What is next in 50203, 50202, 50201, 50200, 50199?
50198
What is next in 8, 14, 14, 2, -28, -82?
-166
What comes next: 6, -2, -32, -96, -206, -374, -612?
-932
What is the next term in 1149, 2295, 3453, 4629, 5829, 7059?
8325
What is the next term in 132, 51, -172, -609, -1332, -2413, -3924?
-5937
What is the next term in -159, -156, -165, -192, -243, -324, -441?
-600
What is the next term in -124, -198, -272, -346, -420?
-494
What comes next: -23, -47, -81, -131, -203, -303, -437?
-611
What comes next: -35, -139, -311, -551, -859?
-1235
What comes next: -2740, -2741, -2742, -2743, -2744?
-2745
What comes next: 3034, 3030, 3024, 3016?
3006
What is next in -30, -49, -68, -87, -106?
-125
What comes next: 95, 181, 267, 353, 439, 525?
611
What is the next term in 39, 77, 115?
153
What is next in -160, -317, -474, -631?
-788
What is next in 620, 627, 638, 653, 672?
695
What is the next term in -48, -63, -90, -135, -204, -303, -438, -615?
-840
What comes next: 52, 107, 162, 217?
272
What is the next term in -689, -1374, -2059, -2744, -3429?
-4114
What is the next term in -12, -24, -36, -48?
-60
What comes next: 963, 964, 965, 966, 967, 968?
969
What is next in -1, 13, 39, 77?
127
What comes next: 40, 79, 130, 187, 244, 295, 334?
355
What is the next term in 1109, 2217, 3325, 4433, 5541?
6649
What is next in -2, -6, -26, -74, -162?
-302
What is the next term in -395, -868, -1331, -1778, -2203, -2600, -2963, -3286?
-3563
What is the next term in 93, 140, 187, 234, 281, 328?
375
What is next in 33, 240, 797, 1878, 3657?
6308
What is next in -31228, -31231, -31236, -31243?
-31252
What is the next term in 1254, 1253, 1264, 1293, 1346?
1429
What is the next term in 46, 65, 110, 193, 326, 521, 790?
1145
What is the next term in 575, 1142, 1705, 2264, 2819?
3370
What is the next term in -4474, -4471, -4468, -4465, -4462?
-4459
What comes next: 107666, 107665, 107664?
107663
What is the next term in 160, 152, 132, 94, 32, -60?
-188
What comes next: 1710, 3419, 5126, 6831, 8534?
10235
What comes next: -7531, -7532, -7533, -7534?
-7535
What comes next: -197, -200, -205, -212, -221, -232, -245?
-260
What is the next term in 7, 7, 3, -11, -41, -93?
-173
What comes next: 175, 179, 193, 223, 275, 355?
469
What comes next: -38, -94, -154, -218, -286?
-358
What comes next: 1274, 1273, 1272, 1271?
1270
What comes next: -726, -725, -724, -723?
-722
What comes next: -4, 95, 184, 257, 308, 331, 320?
269
What is next in 45, 71, 65, 15, -91?
-265
What comes next: -6, 12, 34, 60, 90?
124
What is the next term in -783, -1565, -2347, -3129?
-3911
What is next in -1721, -1730, -1753, -1796, -1865, -1966?
-2105
What comes next: -35, -56, -77, -98?
-119
What is next in 334, 333, 332?
331
What comes next: 3728, 3720, 3698, 3656, 3588, 3488, 3350?
3168
What comes next: -58, -14, 30, 74?
118
What is next in 124, 121, 118, 115, 112?
109
What is next in 7, 13, -5, -59, -161, -323, -557, -875?
-1289
What c | {
"pile_set_name": "DM Mathematics"
} |
31*r + 129*r for n.
-4
Solve 5*t + 3*f = -505 + 482, -2*t - 3*f = 11 for t.
-4
Solve -574*g + 578*g = 5*l - 24, 0 = 5*g + 8*l - 27 for g.
-1
Solve 4*g = 5*j - 4*j - 2*j, 0 = g - 2*j - j for g.
0
Solve -6*t + 2*t + 3*h - 4 = 0, -1 = t - 4*h for t.
-1
Solve 4*h - 20 = 4*i, -77 + 54 = -5*i - h for i.
3
Solve -r + 17 = 2*x, -3*r + 5*x + 25 + 32 = 72 for r.
5
Solve 11 = -5*j - o, -4*j - 93 = 5*o - 101 for j.
-3
Solve -8*t - 3*c + 41 = 0, 0 = 41*t - 40*t + 4*c + 13 for t.
7
Solve 2*u + 5*g = -7, -80*u + 79*u + 3*g + 13 = 0 for u.
4
Solve 202*g - 2*o = 198*g - 32, -4*o = -4*g - 40 for g.
-6
Solve 6*h + 4*y + 2 = 0, -3*h + 8 - 10 = y for h.
-1
Solve q + 52*k + 1 = 49*k, q + 2*k = 0 for q.
2
Solve -x = -3*j - 2*x + 11 + 4, -18 = -x for j.
-1
Solve 66 - 60 = 3*r + 4*h, 0 = -r + 4*h - 14 for r.
-2
Solve -3*r + 5*y = 36, -5*r - y + 8 = 2*y for r.
-2
Solve -43*j = -q - 45*j - 11, 0 = -q + 3*j + 14 for q.
-1
Solve -4*n - 71 = s, 2*s + 42 = -4*n - 32 for n.
-17
Solve 218*r - 221*r + 4*l = -24, 0 = -3*r - 3*l + 3 for r.
4
Solve 5*x + 2*r = -29, -157 = 2*x - 2*r - 165 for x.
-3
Solve -2*a = -5*q - 54, 30*q - 35*q - 3*a = 44 for q.
-10
Solve 2434*b - 35 = -4*p + 2437*b, -7*p + 15 = 4*b for p.
5
Solve 0 = 26147*y - 26142*y - 9*u + 70, 2*y - 3*u = -25 for y.
-5
Solve 9*j = -i + 53, -39*j - 64 = -47*j - 3*i for j.
5
Solve -15*h + 13*h = -4, f - 6*h + 13 = -2*h for f.
-5
Solve 4*t + 5*w + 25 = -0*w, -3*t + 2*w + 10 = 0 for t.
0
Solve -1584*k = 5*a - 1579*k - 30, 4*a = 3*k + 17 for a.
5
Solve 14 = 3*a - g, 197*a - 192*a - 38 = 3*g for a.
1
Solve 10*p + 4*l - 18 = 13*p, -2*p + 311 = 105*l for p.
-2
Solve 2*x - 5*x + 86 = -5*p, -2*p - 38 = 0 for x.
-3
Solve 5*x = 2*m + 24, -1465 + 1502 = x - 5*m for x.
2
Solve -8 = 3*h + 16*q - 17*q, 3*h + q = 2 for h.
-1
Solve -a + s = 2, 3*a + 9793*s = 9788*s - 22 for a.
-4
Solve -4*o = -4*p - 36, o - 2*p - 24 = -13 for o.
7
Solve -c = 22*a + 65, -1018*a + 1014*a = -2*c + 14 for a.
-3
Solve -199 + 187 = -5*v - 4*t, 2*t = 4*v - 20 for v.
4
Solve 3112*y + 20 = 3*v + 3110*y, 0 = 5*v - 3*y - 31 for v.
2
Solve 4*n - 10 = -5*a, -592 = -3*n - 4*a - 583 for n.
-5
Solve 4*i + 4 = -8*b, 0 = b - 56*i + 51*i + 28 for b.
-3
Solve -4*n - 35 = 3*m, 15*m + 341 = 5*n + 291 for m.
-5
Solve -5*g = 3*o + 10, 0 = -50*g + 52*g + 3*o + 13 for g.
1
Solve -49 = 5*j - 7*k, 35*j + 2*k = 38*j + 25 for j.
-7
Solve -3*w + 3 = 0, 4*t - 2*w + 335 = 365 for t.
8
Solve 3*x = -v - 4, -11*v + 12*v = x + 4 for x.
-2
Solve 47*q - 51*q = 4*s - 4, -s - 3 = 3*q for s.
3
Solve 2*b + 194*i = 195*i - 10, 2*i + 43 = -5*b for b.
-7
Solve -2*s + 4 = 90*o - 85*o, 3*s - 6 = 3*o for o.
0
Solve -18 = 5*c - 5*i + 12, 0 = c + 3*i - 6 for c.
-3
Solve -33 = 2*m - 5*j, -167 + 170 = j for m.
-9
Solve 1939*p - 1942*p + 4*f + 63 = 0, -2*f = 30 for p.
1
Solve 314*k - 11 = 309*k + 3*i, -22*k - 4*i = -100 for k.
4
Solve -3*a = -1237*x + 1238*x + 14, 28 = -5*a - 4*x for a.
-4
Solve 39*u - 36*u + 4*g = -22, 3*g = 3*u - 6 for u.
-2
Solve -5*d + 3*s = -22, -4*d - 23*s + 16 = -25*s for d.
2
Solve 0 = -d - 6, 5*t + 63*d = 69*d + 41 for t.
1
Solve 7*m - 15 = 12*m, -12*w + 4*m = -72 for w.
5
Solve 90*g - 118*g + 17 = -3*n - 111, 0*n - 2*n + 8 = 0 for g.
5
Solve -t + 10 = 11*c - 6*c, 2*t + 2*c - 4 = 0 for t.
0
Solve -r - 4*r - 3*c = -38, -4*r = -3*c + 29 for r.
1
Solve 3*d - b - 123 = -111, 5*d - 34 = -6*b + 3*b for d.
5
Solve 4 = -r + 5*l, 31*l - 26*l = -2*r + 7 for r.
1
Solve -37 = 4*x - 21, x + 20 = 4*n for n.
4
Solve -5*l + 201 = -3*t + 131, 3*t = l - 50 for l.
5
Solve -2*i + 20 = -4*g, -22*g - 110 = 109*i - 108*i for i.
0
Solve -2*n + 52 = 5*g, 2*n - 3*g - 122 + 150 = 0 for n.
1
Solve 2*a - 3*f - 4 = 0, -3*f + 0*f = -183 + 177 for a.
5
Solve 1363*f - 6 = 1365*f - 2*n, 4*f + 5*n - 15 = 0 for f.
0
Solve -5*z - 4*i + 5 - 8 = -6, 0 = 4*i + 12 for z.
3
Solve -12*a - 15 = -17*a + 5*f, 8 = -2*f for a.
-1
Solve 0 = 3*f + 18, 2*a + 15 - 47 = 135*f - 131*f for a.
4
Solve 5*s - 2*r = 17, 3 = 9*r - 3*r - 2*r + 7 for s.
3
Solve -2*p - 27 = 3*d, -42 = 94*d - 89*d + 3*p for d.
-3
Solve -2*j - 9*h + 13*h = -22, 7*h - 2 = -j for j.
9
Solve c = 5*o + 23 + 10, -87 = 4*o - 21*c for o.
-6
Solve 4*u + 275 - 310 = -3*i, -9*i + 45 = 0 for u.
5
Solve -3*l - 229*o = -234*o + 36, 5*o - 54 = -3*l for l.
3
Solve 0 = -3*c - 19 + 4, 25*r - 33 - 42 = -5*c for r.
4
Solve 4*n + 49973*h - 49978*h - 22 = 0, -5 = n + 4*h for n.
3
Solve 31*g + 46 = 5*n, 4*g - n + 221 = 214 for g.
-1
Solve 20*j - 3*n + 50 = 19*j, -2*j + 4*n - 70 = 0 for j.
-5
Solve 6*n + 2*v = -18, -2*v + 5 = 5*n + 14 + 6 for n.
-3
Solve -67*x - l = -62*x - 5, -4*l = 5*x + 10 for x.
2
Solve 3*i - 3 = -3*v, 4 = 14164*v - 14159*v + 4*i for v.
0
Solve 2*i + 2*v = -18, i + 2*v + 5 + 9 = 0 for i.
-4
Solve -7*h + 3*h = 2*f - 24, 0 = -2*h - 3*f + 28 for h.
2
Solve 3*r - 15253*s - 2 = -15255*s, -3 = -2*r - s for r.
4
Solve -748*v + 746*v = -6, 3*v - 145 = -8*q for q.
17
Solve 2474*l = 2477*l - c - 7, 0 = -l + 19*c - 35 for l.
3
Solve 0 = b - 4*m + 18 - 11, 4*m + 13 = 5*b for b.
5
Solve 0 = 9*d + 2*c + 11, 4*d + 21*c - 16*c = -9 for d.
-1
Solve -k + 35*l = 33*l + 8, -61*l = 3*k - 43 for k.
-6
Solve -5*f - 7 = -3*b, 5*f + 143*b + 4 = 149*b for f.
-2
Solve 15*q = 3*d + 87, -1 - 6 = -q - d for q.
6
Solve -90*d - 15 = -87*d, -4*s - 5*d = 25 for s.
0
Solve -3*r - 8*x - 25 = 0, -5*r + 9*r + 24 = -6*x for r.
-3
Solve 3*j = -5*i + 12, -i + 4*j + 19 - 12 = 0 for i.
3
Solve 110*v = 112*v - 4*l - 42, 4*l + 80 = 32 for v.
-3
Solve 2*a - 2477 = -4*m - 2459, -7*m - 2*a + 30 = 0 for m.
4
Solve i = -3*j - 16, 6*j = 4*j - 2*j + 2*i - 18 for j.
-5
Solve 8*s + 3*u + 37 = 0, -4*u + 34 = 4*s + 50 for s.
-5
Solve 129*j - 3*b = 127*j + 16, 5*b - 5 = -3*j for j.
5
Solve -2*f = -d - 19, -2*d - 3 = -147*f + 150*f for f.
5
Solve c + 12 = 566*t - 570*t, 0 = 3*t + c + 8 for t.
-4
Solve 7*r = -21, -4*r = 4*y - 76 + 88 for y.
0
Solve -4*c - t = -35, -74*c + 77*c + 4*t - 23 = 0 for c.
9
Solve -m - 2*c + 37 = 51, -c = -3*m for m.
-2
Solve -61*s = -z - 56*s + 13, 3*z + 36 = -10*s for z.
-2
Solve z = 4*m - 9, -43 = 2*m - 3*z - 30 for m.
4
Solve 520*r - 523*r = -4*l + 14, 0 = 4*r + l + 6 for r.
-2
Solve 50*v - 46*v = -5*k - 10, 0 = 3*k + v + 6 for k.
-2
Solve -2 = -2*p - 1247*w + 1249*w, -181 = -31*p + w for p.
6
Solve 3*i = 3*a + 3, -3424*a + 3423*a = 3*i - 15 for i.
4
Solve 7*p = -t - 15, -p - 33 = -715*t + 710*t for t.
6
Solve 3*g + 446*x - 444*x + 12 = 0, -4*x - 8 = -2*g for g.
-2
Solve -5*t - 2*r + 70 = 74, -2*t + 2*r + 4 = 0 for t.
0
Solve 3*y - q + 9 = -5, -5*y = 3*q for y.
-3
Solve 19*c + 9 = 22*c, -4*m + 16 = 12*c for m.
-5
Solve 4*w = y - 25, 4*w + 19*y - 58 = 417 for w.
0
Solve p - 174*a = -176*a - 10, p + a + 6 = 0 for p.
-2
Solve 5*m = 4*d + 16, -d + 715 - 719 = m for m.
0
Solve -692*x + 708*x + 37 = 5*l, 0 = -2*x + l - 5 for x.
-2
Solve -6 = 2*s + 4, 3*z - 2*s = 1 for z.
-3
Solve k = -2*w + 18, -1818 = 2*w + 5*k - 1844 for w.
8
Solve -65 = -5*b - 60, 3*q - 5*b = -8 for q.
-1
Solve 428*g - 432*g = -f + 3, 0 = 3*g + 13*f + 71 for g.
-2
Solve 4*w - 2*a = -10, 5*w + 8*a - 60 = -104 for w.
-4
Solve -173*c + 7 = -171*c - 3*y, -c - 8*y - 6 = 0 for c.
2
Solve g + 21 = -2*m, 6*m = 2*g + 3 + 19 for g.
-17
Solve 0 = -2*h - 3*d, 3*h - 4*d + 2753 - 2770 = 0 for h.
3
Solve -47*l + 51*l + 27 = -3*k, k - l + 2 = 0 for k.
-5
Solve 0 = -5*q - 15, 4*q = 9*z - 5*z - 8 for z.
-1
Solve 4*o - 5*p + 7181 = 7185, 4*p + 48 = -8*o for o.
-4
Solve -208 = -3*d - b - 274, 0 = 4*d + b + 87 for d.
-21
Solve 65 - 60 = -f - 2*u, -4*f = 2*u + 14 for f.
-3
Solve 2*q + 3 = -155*t + 154*t, 5*t - 5*q - 15 = 0 for t.
1
Solve 5*m - 10 = 5*p, 154 - 95 = 7*m + 2*p for m.
7
Solve -5 = -3*n + 4*a, -51*a + 52*a + 15 = -2*n for n.
-5
Solve -2*x + 1172 = 3*l + 1257, -3*l = 75 for x.
-5
Solve -12*t = 149*z - 148*z - 50, -z + 18 = 4*t for t.
4
Solve 0 = 5*i + 3*k + 15, -57 = -2*i - 3*k - 72 for i.
0
Solve 6 = -t + 3*o, 60 = t + 5*o + 58 for t.
-3
Solve 56 = -12*r - s, -38 + 10 = -r + 4*s for r.
-4
Solve -3*o + 14 = k, -22 = -5*o + 2211*k - 2212*k for o.
4
Solve 2*t = 44*m + 184, 5*t - 29*m = -27*m + 28 for t.
4
Solve 5*y = -4*f - 84, -51410*f = -51405*f - 2*y + 105 for f.
-21
Solve 2*y = 5*d - 5, 2*d - 225*y - 40 = -228*y for d.
5
Solve x - 3*u = -0*x - 0*u + 12, 0 = 3*x - 8*u - 32 for x.
0
Solve 0 = 4*n + 5*g - 41, -7 = 2*n + 497*g - 500*g fo | {
"pile_set_name": "DM Mathematics"
} |
s the least common multiple of (f/30)/((-1)/10) and 22?
88
Let z = 108 + -151. Calculate the common denominator of z and 73/9.
9
Let j(g) = g**3 + 8*g**2 - 2*g**2 + 0 + 2*g - 4. Calculate the least common multiple of j(-5) and 2.
22
Let c = -9 - -21. Calculate the lowest common multiple of (96/20)/(15/50) and c.
48
Suppose 0 = -5*q - 0 - 5, 3*z + 647 = q. Suppose 2*c = 4*c - 3*i - 36, 5*c - 73 = -i. What is the common denominator of (z/(-220))/((-4)/c) and 71/12?
132
Find the common denominator of (-6)/15 + (-334)/(-160) and 4/6 + 106/84.
112
Suppose -258 = 4*t - 6*t. What is the common denominator of t/5*(-6)/(-36) and (-3)/((-60)/(-214)) - -2?
10
Suppose 92 = 2*i + 30. Calculate the least common multiple of i and 8.
248
Suppose 4*q - 20 - 12 = 0. Let d = 14 - q. Calculate the lowest common multiple of (-35)/(-2) - (-3)/d and 6.
18
Suppose c = 5*j + 14, c + 24 = 5*c - 4*j. Let w be 1 - (-1)/((-1)/(-2)). Suppose 5*t + 3 - 21 = -v, -w = t - 2*v. What is the lowest common multiple of c and t?
12
Calculate the least common multiple of 35 and (105/(-18))/((-1)/6).
35
Let x = 1/4152 + 222127/20760. Let z = 353/165 + -103/15. What is the common denominator of z and x?
110
Suppose c = -3*l + 10, 0*l - 5*l + 4*c = 6. Calculate the smallest common multiple of 4 and 2*-10*l/(-5).
8
Let t = -389 + 2365/6. Let k = -712 - -7791/11. Calculate the common denominator of t and k.
66
Let h(s) = -s**2 - 10*s - 10. What is the smallest common multiple of 3 - (0 + -4 - -2) and h(-8)?
30
Let t = -3011/126 - -154/9. What is the common denominator of t and 33/2?
14
Suppose -h = -a + 23 - 4, -5*a + h + 99 = 0. What is the lowest common multiple of 24 and a?
120
Calculate the common denominator of -10*(-2)/24 - 0/11 and 75/8.
24
Let b be -2 + (-3)/((-3)/(-2)). Find the common denominator of (-11)/(-22) + (-195)/(-66) and (-2)/b + (-75)/14.
77
Let y be 2 + (2 - 26921/(-18)). Let j = -1500 + y. Calculate the common denominator of j and 59/2.
18
Suppose 0 = w + 4 - 15. What is the least common multiple of 1 and w?
11
Let g be 9007/(-1106) + 2/(-7). Let n = g + 40/553. Find the common denominator of n and (142/54)/(32/48).
126
Let r(x) be the second derivative of x**4/12 + 3*x**3/2 - x**2 + 4*x. Calculate the smallest common multiple of r(-10) and 8.
8
Suppose 10*l - 24 = 86. Calculate the lowest common multiple of 9 and l.
99
Let v = 1027/3 - 5012/15. Find the common denominator of v and -37/5.
5
Let c = -3664/11 + 332. Calculate the common denominator of 31 and c.
11
Let m = -240119597823229/11337431196 + 4/218027523. Let h = -21180 - m. Let q = -1529/156 - h. Find the common denominator of q and 93/4.
12
Let z = 8 - 6. Suppose -3*u - 4*k = -u, -z*u - k = 6. What is the smallest common multiple of 8 and 178/11 - u/(-22)?
16
Let d = -15274 - -305369/20. Find the common denominator of d and 63/20.
20
Let v be 2/3 + (-2468)/3810. Let l = 935/254 + v. Let h = -6163/1076 - 6/269. Calculate the common denominator of l and h.
20
Suppose 5809 + 3211 = -2*i + 5*n, -2*n + 9014 = -2*i. Let y = -90061/20 - i. Find the common denominator of y and -1/14.
140
Let x = -10 + 23/2. Let m(u) = -u. Let s be m(1). What is the common denominator of s*(-2 + (-309)/(-18)) and x?
6
Suppose 3*a = a - 2*d + 818, -3 = -3*d. Suppose 0 = -r + 266 + a. What is the common denominator of -61/8 and r/(-36) - 8/(-36)?
8
Let r = -3 + 4. Suppose -3*q = k - 14, 2*q - k - 10 = -2*k. Suppose -q*f = 5*y - f - 34, 0 = -2*y + 4*f - 2. Calculate the least common multiple of y and r.
5
Let n be (-99)/27 - (-2)/3. Find the common denominator of n - (60/(-14) - -1) and 26/3.
21
Let n = 2467/4 - 597. Calculate the common denominator of ((-4)/(-6))/(72/1053) and n.
4
Let x = 91 - 58. Calculate the common denominator of -109/18 and (3/(-12))/(x/294).
198
Let i = 26 - 4. Let w = -6 + 26. Calculate the smallest common multiple of i and w.
220
Let d(y) = -y**2 + 18*y - 15. What is the least common multiple of d(17) and 8?
8
Calculate the lowest common multiple of 2 and (4/10)/((-4)/(-20)).
2
Let j(f) = -f**3 + 4*f**2 - 1. Let u be j(4). Let i be -2 - (-1)/(u + 0). What is the common denominator of 22*5*i/24 and -103/12?
12
Let x = 573 + -1748/3. Find the common denominator of 16/21 and x.
21
Suppose 21 = 6*a + 3. Calculate the least common multiple of 3 and a.
3
Let s be ((-11)/5 - -1)*20. Calculate the common denominator of (-1)/(-3) + 14/9 and (-2)/3*819/s.
36
Let d = 1814/99 + 1/99. Let w = 5177/8 - 651. Calculate the common denominator of w and d.
24
Let j(g) = -g - 14. Let i be j(-10). Calculate the common denominator of (-186)/(-20) + (-2)/2 and (1/i)/((-2)/73).
40
Suppose 16 = -4*u + 40. Suppose d + 3 - u = 0. What is the smallest common multiple of 8 and d?
24
Let t = 5/7814 + -2000459/117210. Let l = -2819/210 - t. What is the common denominator of 93/22 and l?
154
Let l = 257 + -2825/11. Calculate the common denominator of -91/4 and l.
44
Let a be 2/(2/(-6) + 1). Find the common denominator of a/(-30)*41 - 2 and 55/6.
30
Let g = 38701/10 + -3859. Calculate the common denominator of 73/12 and g.
60
Let b = 20 - -13. What is the least common multiple of b and 6?
66
Suppose 0 = 2*o - 0*o - 28. Let g(l) = 3*l**2 - 2*l - 3. What is the smallest common multiple of o and g(3)?
126
Suppose -8*b + 28 = -52. What is the smallest common multiple of 11 and b?
110
Calculate the common denominator of -1/9 and 10/(-4)*(-11)/15.
18
Let t = 2 + 3. Suppose 2*w + 3 + 5 = 0, -t*w - 11 = 3*d. Calculate the smallest common multiple of d and 33/(-2)*10/(-15).
33
Let s = 10 - 6. Let l(x) = 1 + x**3 + 0 - 3 + 7*x**2 - 9*x. What is the least common multiple of s and l(-8)?
12
Let n = 192223/15255 + -2/3051. Let d(t) = -3*t + 2. Let r be d(4). Let x = 48 + r. What is the common denominator of x and n?
5
Let x(g) = -8*g. Let a be x(-2). Suppose -a = -q + 14. Find the common denominator of 6/10 + (-146)/(-40) and q.
4
Let w = 135 - 129. What is the lowest common multiple of w and 9?
18
Find the common denominator of 102/(-56) - (-9)/(-36) and 8/3.
42
Let i(n) = 3*n**3 + 2*n**2 - n. Suppose 2*s = 34 - 10. Calculate the smallest common multiple of s and i(1).
12
Let i = -13 + 19. Let n = -2 + i. What is the smallest common multiple of n and 8?
8
Let h = -1 + 2. Calculate the lowest common multiple of 19 - h*(-1 - -2) and -1*(-17 - (-1 - -4)).
180
Let i = -2/47 + -1065/376. What is the common denominator of -101/4 and i?
8
Calculate the lowest common multiple of 17 and (-2)/(-6) + 17/3.
102
Let g = 10668 - 149455/14. What is the common denominator of 65/14 and g?
14
Let i be (-1026)/(-5) - (-4)/(-20). Find the common denominator of (-5)/50*i/(-4) and 35/8.
8
Suppose -s - 4*k + 11 = 0, -3*s + 5*k - 69 = -17. Let b = s + 20. Suppose -12 = -2*h - 2*h. Calculate the least common multiple of b and h.
33
Let v(y) = -y**2 + 9*y + 6. Let u be v(7). Calculate the common denominator of 0/4 + 73/u and -97/14.
140
Suppose -5 = q + 3*n - 15, 0 = 4*n. Let m be 86/q + 2/5. Find the common denominator of 2/(-6)*159/m and -41/3.
9
Suppose 6 = 2*x - 4. Let g be x*(-2 - -1)*-10. Suppose 4*s = -s + g. What is the lowest common multiple of 9 and s?
90
What is the common denominator of 59/12 - (11 + -9) and 89/16?
48
Let m = 362678/1019 - 545989401/1569260. Let l = 13/220 - m. Let n = 191321/8796 - 2/2199. What is the common denominator of n and l?
28
Let l = 0 + 9. Calculate the smallest common multiple of l and 18.
18
Let v = -38 - -49. Suppose -2*x - x = -18. Suppose 5*s = 4*k + 25, -s + 2*k + x = -5*s. Calculate the smallest common multiple of v and s.
11
Let s = 56 - 57. What is the common denominator of s and -61/16?
16
Let r(t) = 17*t**2 + 1. Let x(w) = w - 11. Let y be x(5). Let g = 8 + y. What is the lowest common multiple of r(-1) and g?
18
Let z(n) = n**2 - 9*n + 9. Let q be z(8). Let a = 5 - q. What is the common denominator of (5 - a) + 186/20 and 79/2?
10
Let d = 10198178 + -10208379903/1001. Let c = 6/1001 - d. What is the common denominator of c and 41/3?
33
Let i be 1/(-4) - (-2501)/252. Let u = -10/63 - i. What is the common denominator of u and (278/6 + 2)/2?
6
Find the common denominator of 63/8 and 3/6*82/8.
8
Suppose 2*f + 14 = 3*o, 8 = -3*f + o - 20. Let v = -4 - f. Calculate the lowest common multiple of v and 16.
48
Let r be 4/(-6) + 33 | {
"pile_set_name": "DM Mathematics"
} |
ert 96.65573 nanometers to micrometers.
0.09665573
How many millilitres are there in seven quarters of a litre?
1750
How many months are there in fifteen quarters of a decade?
450
How many millimeters are there in 26/5 of a meter?
5200
What is twenty-five quarters of a week in hours?
1050
How many grams are there in one fifth of a kilogram?
200
Convert 20.2038kg to milligrams.
20203800
What is 8.247789 litres in millilitres?
8247.789
How many minutes are there in 29/3 of a week?
97440
Convert 99584.62 litres to millilitres.
99584620
Convert 41.62401 decades to months.
4994.8812
Convert 3141.294mg to nanograms.
3141294000
What is 7/2 of a century in decades?
35
What is 1679.876 grams in micrograms?
1679876000
What is 2196.0234 milliseconds in days?
0.0000254169375
How many micrograms are there in 11/2 of a milligram?
5500
Convert 3770.63kg to micrograms.
3770630000000
What is one sixteenth of a kilometer in millimeters?
62500
How many kilometers are there in 244.4704 centimeters?
0.002444704
How many decades are there in 3/10 of a century?
3
How many millilitres are there in 571.6009l?
571600.9
How many nanometers are there in 21/5 of a micrometer?
4200
What is three tenths of a litre in millilitres?
300
How many nanograms are there in three tenths of a microgram?
300
What is 6/25 of a litre in millilitres?
240
What is seven eighths of a kilometer in meters?
875
How many hours are there in 0.1602189 seconds?
0.00004450525
What is 379418.5 centimeters in nanometers?
3794185000000
How many millilitres are there in seven eighths of a litre?
875
Convert 15.3501 centuries to millennia.
1.53501
What is 42843.3 kilometers in meters?
42843300
How many kilograms are there in sixty-three eighths of a tonne?
7875
How many kilometers are there in 0.0311694 nanometers?
0.0000000000000311694
How many grams are there in thirty-seven halves of a kilogram?
18500
How many decades are there in 2298840.3 months?
19157.0025
How many milliseconds are there in 614.9972us?
0.6149972
How many nanometers are there in one sixteenth of a millimeter?
62500
How many years are there in 21/2 of a millennium?
10500
How many grams are there in 44/5 of a kilogram?
8800
What is 1/16 of a minute in milliseconds?
3750
What is eleven quarters of a kilogram in grams?
2750
Convert 630405.2 grams to micrograms.
630405200000
How many centimeters are there in 7/8 of a kilometer?
87500
How many micrometers are there in nineteen tenths of a centimeter?
19000
How many milligrams are there in sixty-three eighths of a gram?
7875
What is 1/4 of a kilometer in centimeters?
25000
What is three tenths of a gram in milligrams?
300
What is 11/4 of a millennium in years?
2750
Convert 364.7416 micrometers to nanometers.
364741.6
What is 18818.21l in millilitres?
18818210
What is 7.620815 millimeters in centimeters?
0.7620815
How many weeks are there in 24.9609087 nanoseconds?
0.00000000000004127134375
How many hours are there in 0.1763852 days?
4.2332448
How many kilometers are there in 147.989 centimeters?
0.00147989
What is 5/4 of a year in months?
15
What is ten thirds of a decade in months?
400
What is 2.268331 micrometers in millimeters?
0.002268331
What is 205.3603mm in kilometers?
0.0002053603
How many minutes are there in 66.35815 days?
95555.736
What is 873.117 millimeters in nanometers?
873117000
What is 757492.2 seconds in nanoseconds?
757492200000000
Convert 587616.2 nanograms to micrograms.
587.6162
What is 15/4 of a litre in millilitres?
3750
How many nanograms are there in 385.5217t?
385521700000000000
Convert 17021.17ng to grams.
0.00001702117
Convert 481.33mg to grams.
0.48133
What is 9907.667km in centimeters?
990766700
What is three sixteenths of a centimeter in micrometers?
1875
Convert 2.486721 years to months.
29.840652
What is 18318.3 microseconds in nanoseconds?
18318300
What is 17/4 of a litre in millilitres?
4250
Convert 3674.444 millilitres to litres.
3.674444
What is 67/4 of a hour in minutes?
1005
What is 13/8 of a millennium in years?
1625
Convert 8200.54 decades to months.
984064.8
How many millennia are there in 758.2635 months?
0.063188625
Convert 331753.4 micrometers to centimeters.
33.17534
How many minutes are there in 28/3 of a hour?
560
How many milliseconds are there in 4.18065 hours?
15050340
Convert 0.876337 decades to millennia.
0.00876337
How many years are there in 25/4 of a millennium?
6250
What is 328334.5g in milligrams?
328334500
What is 5/24 of a millennium in months?
2500
Convert 47.51897 tonnes to micrograms.
47518970000000
What is thirty-seven halves of a litre in millilitres?
18500
Convert 0.3382984ml to litres.
0.0003382984
How many micrograms are there in 54/5 of a milligram?
10800
What is 5.413521 nanograms in kilograms?
0.000000000005413521
Convert 742547.4us to nanoseconds.
742547400
How many minutes are there in 5089.017 nanoseconds?
0.00000008481695
What is 4782.647 grams in micrograms?
4782647000
How many minutes are there in 5/14 of a week?
3600
How many milligrams are there in 358.0212g?
358021.2
What is 27/5 of a meter in centimeters?
540
How many meters are there in 62.08824 centimeters?
0.6208824
How many microseconds are there in five eighths of a millisecond?
625
How many millilitres are there in eleven quarters of a litre?
2750
Convert 68378.3 decades to millennia.
683.783
How many grams are there in 445273.5 micrograms?
0.4452735
How many micrometers are there in 3.214117 nanometers?
0.003214117
Convert 2.528416ns to seconds.
0.000000002528416
How many minutes are there in 8/3 of a week?
26880
What is 33.32758 decades in months?
3999.3096
How many hours are there in 1/4 of a week?
42
What is three fifths of a week in minutes?
6048
What is 392.7705 nanometers in centimeters?
0.00003927705
What is 3.486676 nanometers in micrometers?
0.003486676
How many seconds are there in three eighths of a hour?
1350
What is 0.4139851 micrograms in tonnes?
0.0000000000004139851
What is 2/15 of a day in minutes?
192
How many centuries are there in nine tenths of a millennium?
9
What is 6946.771 litres in millilitres?
6946771
Convert 98.7409t to kilograms.
98740.9
What is 14.95719 millennia in decades?
1495.719
How many millilitres are there in 9/10 of a litre?
900
How many seconds are there in 0.0025495us?
0.0000000025495
What is nineteen quarters of a millennium in decades?
475
How many meters are there in 670.836nm?
0.000000670836
How many nanograms are there in 186.4323 grams?
186432300000
How many micrometers are there in 3/5 of a centimeter?
6000
How many nanometers are there in 0.8416451 centimeters?
8416451
Convert 342.7477m to centimeters.
34274.77
How many years are there in 49.85468 centuries?
4985.468
How many litres are there in 39288.15ml?
39.28815
How many millilitres are there in 29/5 of a litre?
5800
How many tonnes are there in 91833.43ng?
0.00000000009183343
What is 0.3889069 tonnes in micrograms?
388906900000
How many weeks are there in 73.9926873s?
0.00012234240625
What is 25552.93 centimeters in millimeters?
255529.3
How many millennia are there in 813.3536 decades?
8.133536
How many seconds are there in 1/100 of a week?
6048
What is 7925.967 kilometers in micrometers?
7925967000000
How many grams are there in eighty-seven fifths of a kilogram?
17400
Convert 79644.7m to nanometers.
79644700000000
What is one fifth of a kilometer in meters?
200
What is 0.9057284ng in grams?
0.0000000009057284
What is one tenth of a micrometer in nanometers?
100
How many millilitres are there in 44563.95l?
44563950
What is two fifteenths of a minute in milliseconds?
8000
How many millimeters are there in three tenths of a meter?
300
What is 515.1969 months in decades?
4.2933075
Convert 3.545029 milligrams to micrograms.
3545.029
Convert 15521.7 nanometers to meters.
0.0000155217
How many centimeters are there in 1/20 of a meter?
5
What is 70.23647ml in litres?
0.07023647
What is 25/2 of a litre in millilitres?
12500
How many nanograms are there in 6/5 of a microgram?
1200
How many centuries are there in 0.2726172 decades?
0.02726172
Convert 0.5286391ug to nanograms.
528.6391
What is 0.4075365 millilitres in litres?
0.0004075365
Convert 0.7099679 milligrams to micrograms.
709.9679
How many millilitres are there in fifty-three fifths of a litr | {
"pile_set_name": "DM Mathematics"
} |
4*p**3 + 527*p**2 - 897*p - 1675. Determine z(130).
15
Let v(f) = -36*f**2 + 2378*f - 150. Determine v(66).
-18
Let b(x) = -57*x + 989. Give b(22).
-265
Let s(k) = -2789*k + 19641. Give s(7).
118
Let a(r) = -12*r**2 + 31*r + 1014. Determine a(-8).
-2
Let i(f) = -f**2 - 47*f + 9134. Determine i(75).
-16
Let o(l) = -1672*l + 653459. Give o(391).
-293
Let p(w) = 432733*w + 1730937. Determine p(-4).
5
Let j(o) = 3497*o - 80430. Calculate j(23).
1
Let u(i) = -i**2 + 512*i - 35238. What is u(82)?
22
Let c(w) = -4587*w + 46014. Give c(10).
144
Let j(t) = -t**3 + 6*t**2 - 368*t + 1449. Give j(4).
9
Let j(y) = -y**2 - 1528*y + 65873. Determine j(42).
-67
Let d(j) = j**3 + 358*j**2 + 6732*j + 42. What is d(-20)?
602
Let a(o) = 5777*o + 1005175. Give a(-174).
-23
Let j(k) = -7*k**2 + 109*k - 329. Calculate j(11).
23
Let o(n) = 5040*n - 75616. Give o(15).
-16
Let k(i) = i**3 - 131*i**2 - 7318*i - 2174. What is k(-42)?
10
Let o(g) = -88*g + 16021. Calculate o(182).
5
Let i(w) = -820*w + 6951. Determine i(9).
-429
Let a(y) = 3060*y - 79461. Determine a(26).
99
Let p(d) = d**3 + 185*d**2 + 34267*d + 6339394. Determine p(-185).
-1
Let q(s) = 4*s**3 - 50*s**2 - 183*s - 1682. Give q(17).
409
Let t(i) = 4*i**2 - 696*i - 8599. Determine t(186).
329
Let k(h) = 287*h - 164744. Determine k(574).
-6
Let a(u) = 1975136*u + 17776231. Calculate a(-9).
7
Let z(g) = -3*g**3 + 49*g**2 + 204*g + 117. What is z(20)?
-203
Let y(v) = -1596*v - 90045. Calculate y(-59).
4119
Let o(q) = -317*q - 759. Give o(-3).
192
Let l(q) = -9937*q - 437296. Give l(-44).
-68
Let r(u) = -u**3 - 520*u**2 + 3692*u + 1637. Determine r(-527).
56
Let o(t) = -2*t**2 + 39*t - 724. Determine o(23).
-885
Let r(l) = l**2 - 370*l + 10772. What is r(32)?
-44
Let f(b) = 36*b**2 + 171*b - 256. Calculate f(-6).
14
Let c(f) = -467*f - 5745. Calculate c(-13).
326
Let g(i) = -111*i + 3414. What is g(30)?
84
Let c(j) = -393*j + 907. What is c(2)?
121
Let x(m) = -710*m**2 + 486*m + 493. What is x(-1)?
-703
Let t(m) = 44*m**2 + 650*m + 69. Calculate t(-15).
219
Let x(h) = -4*h**3 - 943*h**2 + 100*h - 32094. Give x(-236).
2
Let s(u) = 3*u**3 - 255*u**2 - 21*u + 56. What is s(85)?
-1729
Let x(m) = m**3 + 228*m**2 + 5960*m + 597. Give x(-30).
-3
Let s(i) = -3*i**3 + 26*i**2 - 27*i - 4. Calculate s(3).
68
Let z(h) = 61815*h + 61803. Calculate z(-1).
-12
Let a(o) = 1489*o - 19360. Determine a(13).
-3
Let l(q) = 792*q - 160. What is l(-4)?
-3328
Let j(a) = 91*a - 18546. Give j(207).
291
Let z(c) = 2134*c + 89832. Determine z(-42).
204
Let q(p) = -2*p**2 - 8195*p - 32809. Give q(-4).
-61
Let q(t) = -2*t**3 - 46*t**2 + 1113*t - 1018. Calculate q(-38).
8
Let g(f) = -179*f - 2329. Calculate g(-7).
-1076
Let k(a) = -8*a**2 + 1305*a + 57126. What is k(199)?
13
Let u(z) = -18*z**2 - 198*z - 232. Give u(-6).
308
Let s(f) = 191807*f - 1534455. What is s(8)?
1
Let z(f) = -3*f**3 - 24*f**2 + 135*f - 150. Determine z(-12).
-42
Let b(z) = 10290*z + 18379. Determine b(-2).
-2201
Let p(i) = -51*i**2 - 1437*i - 109. What is p(-28)?
143
Let l(y) = -380*y**3 + 762*y**2 - 31*y + 61. Give l(2).
7
Let y(j) = 55*j**2 + 403*j - 106. Calculate y(-4).
-838
Let n(t) = 2*t**2 - 317*t + 353. What is n(162)?
1487
Let v(h) = -16*h**3 - 101*h**2 + 13*h + 125. Calculate v(-6).
-133
Let f(l) = -2227*l - 269468. Give f(-121).
-1
Let r(v) = -4*v**2 - 129*v + 2294. Determine r(17).
-1055
Let f(m) = m**3 + 26*m**2 - 237*m + 70. Determine f(7).
28
Let r(y) = 2953*y + 52766. Determine r(-19).
-3341
Let w(z) = 7*z**2 - 2026*z + 56766. Determine w(258).
6
Let z(g) = -g**2 - 139388*g + 836369. Determine z(6).
5
Let y(s) = 377*s + 106635. Calculate y(-283).
-56
Let a(c) = 57*c**2 + 515*c + 31. What is a(-7)?
-781
Let h(z) = -3*z**2 - 3398*z - 219178. Give h(-1064).
6
Let z(x) = 2216*x + 201638. Give z(-91).
-18
Let n(c) = -5*c**2 - 121*c - 315. Give n(-26).
-549
Let m(v) = 69929*v - 2237717. Give m(32).
11
Let a(k) = 7*k**3 + 10*k**2 - 100*k + 1. Determine a(-8).
-2143
Let x(i) = -14347*i - 73200. What is x(-5)?
-1465
Let q(m) = 2101*m + 41236. What is q(-20)?
-784
Let h(y) = 29*y**2 - 181*y - 206. Give h(-1).
4
Let z(n) = -6097*n + 48378. Calculate z(8).
-398
Let t(a) = -a**3 + 40*a**2 + 1165*a - 738. What is t(-20)?
-38
Let x(j) = -j**3 - 18*j**2 - 4*j + 531. Determine x(-16).
83
Let p(k) = -2*k**2 - 189*k + 45309. Calculate p(-205).
4
Let j(l) = -2*l**3 - 15*l**2 - 5878*l - 41158. What is j(-7)?
-61
Let x(t) = 11*t**2 + 1602*t + 4163. Give x(-143).
16
Let v(r) = 523*r + 180615. Give v(-346).
-343
Let o(v) = -v**3 - 112*v**2 - 161*v + 95951. Give o(-101).
1
Let h(l) = 17862*l + 71634. What is h(-4)?
186
Let q(h) = -35*h**2 - 373*h + 1899. Give q(4).
-153
Let w(f) = -1707*f**2 - 8527*f + 55. Calculate w(-5).
15
Let v(t) = 4204*t - 31953. Give v(8).
1679
Let x(y) = -5*y**2 - 1021*y - 31666. Calculate x(-38).
-88
Let i(s) = -61*s**2 - 6134*s - 42880. Calculate i(-93).
-7
Let y(u) = 19*u**2 + 217*u - 76518. Calculate y(58).
-16
Let w(x) = -x**3 - 31*x**2 + 3331*x + 2335. Determine w(-75).
10
Let b(c) = -5*c**3 + 45*c**2 - 91*c - 41. Give b(4).
-5
Let z(h) = -22*h**2 + 9691*h - 29086. Calculate z(3).
-211
Let c(h) = -7*h**3 - 51*h**2 - 119*h - 1275. Calculate c(-8).
-3
Let h(a) = 3*a**3 - 1290*a**2 + 10132*a - 1653. Give h(422).
35
Let o(s) = 17*s**3 - 3467*s**2 - 170*s - 6912. Give o(204).
24
Let s(a) = 44*a**2 - 1847*a + 75. Determine s(42).
117
Let i(f) = -3*f**3 - 249*f**2 + 275*f + 1930. Determine i(-84).
-2
Let v(h) = 115273*h - 1844376. Determine v(16).
-8
Let l(k) = -19975*k + 139807. Calculate l(7).
-18
Let k(j) = -126569*j - 379697. What is k(-3)?
10
Let o(f) = -2*f**3 + 1468*f**2 - 2900*f - 20494. Calculate o(732).
2
Let c(t) = -24*t**2 - 20*t + 4. Give c(-2).
-52
Let i(t) = 4159*t - 844186. Give i(203).
91
Let d(r) = -r**3 + 171*r**2 - 4724*r - 4653. Give d(136).
243
Let j(n) = -36158*n - 506209. Give j(-14).
3
Let d(i) = -2*i**2 - 1104*i - 47596. Determine d(-47).
-126
Let r(g) = -499180*g + 1996733. Calculate r(4).
13
Let k(x) = x**3 + 13*x**2 + 1706*x + 5012. Calculate k(-3).
-16
Let k(d) = -231694*d + 2. What is k(0)?
2
Let m(a) = -489*a - 565. Determine m(0).
-565
Let z(r) = 10*r**2 + 43*r + 43. Give z(-1).
10
Let k(c) = -4645*c + 9297. What is k(2)?
7
Let m(f) = -3*f**3 - 468*f**2 - 28*f - 4564. Determine m(-156).
-196
Let n(j) = -300879*j - 17450989. Give n(-58).
-7
Let z(c) = 6*c**2 + 6*c - 1075. Determine z(-14).
17
Let w(i) = -154*i**2 + 38*i + 59. Give w(-2).
-633
Let u(v) = v**3 - 59*v**2 + 872*v - 51420. Give u(59).
28
Let r(g) = 2*g**3 + 2*g**2 + 6*g - 108. Determine r(0).
-108
Let d(v) = -4*v**3 - 4*v**2 + 1079*v + 1081. Give d(-1).
2
Let y(h) = 2*h**3 - 193*h**2 + 2846*h - 50. Give y(16).
4270
Let r(b) = 46857*b + 374872. Give r(-8).
16
Let w(n) = -43801*n + 306619. Give w(7).
12
Let l(s) = 6482*s - 45337. Calculate l(7).
37
Let r(i) = 2*i**3 - 57*i**2 + 262*i + 16. Calculate r(6).
-32
Let u(p) = 46*p**3 - 31*p**2 - 70*p - 14. Give u(-2).
-366
Let z(y) = 2*y**2 + 13*y - 60. Determine z(-18).
354
Let n(w) = -2*w**2 + 306*w + 5177. Give n(168).
137
Let z(v) = -v**3 + 18*v**2 + 399*v - 6833. What is z(22)?
9
Let k(p) = -1790*p + 159306. Give k(89).
-4
Let l(m) = -2*m**3 - 28*m**2 - 2258*m - 43230. What is l(-18)?
6
Let h(p) = -2*p**2 - 295*p - 10166. Calculate h(-93).
-29
Let u(q) = 3*q**3 - 160*q + 985. Give u(5).
560
Let l(q) = 3*q**2 + 269*q + 3688. Give l(-17).
-18
Let c(f) = 23948*f + 191595. Give c(-8).
11
Let s(o) = -o**3 + 38*o**2 - 307*o - 691. Determine s(24).
5
Let v(c) = 293*c + 13443. Calculate v(-46).
-35
Let b(g) = 26*g**3 - g**2 + 55*g - 143. Determine b(3).
715
Let h(y) = -2*y**3 + 7*y**2 + 43*y - 157. What is h(4)?
-1
Let o(s) = 7487*s - 52387. Give o(7).
22
Let f(a) = -433*a**2 - 2530*a + 402. Determine f(-6).
-6
Let u(p) = p**3 + 12*p**2 + 95*p + 747. Calculate u(-11).
-177
Let d(w) = -224740*w + 224746. Calculate d(1).
6
Let b(j) = -j**3 - 8*j**2 - 70*j - 929. Give b(-10).
-29
Let r(f) = 17*f**2 + 338*f + 454. Determine r(-16).
-602
Let i(q) = -q**3 + 36*q**2 + 371*q - 14211. Calculate i(35).
-1
Let b(t) = 44077*t - 1058121. Give b(24).
-273
Let a(p) = -4722*p**2 - 42496*p - 47. What is a(-9)?
-65
Let z(c) = -74*c**2 + 29654*c + 8021. What is z(401)?
1
Let q(p) = 22083*p + 1612039. What is q(-73)?
-20
Let u(d) = d** | {
"pile_set_name": "DM Mathematics"
} |
2)/sqrt(5))/(5*(sqrt(12) + sqrt(192)))*1*3.
-6*sqrt(17)/25
Simplify 5 + (((sqrt(80)/sqrt(5))/sqrt(8) - -2*sqrt(8)) + -5*(sqrt(162) + 1 - sqrt(2) - (0 + sqrt(242))))**2 + -5.
-200*sqrt(2) + 825
Simplify -4*(3 + -4*(sqrt(1584) + sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 2))) + sqrt(1584) + sqrt(1584)*1 + -4 + sqrt(1584) + -2 + sqrt(1584) + -4)**2.
-101380 + 384*sqrt(11)
Simplify (0 + (sqrt(65)*-1*-6)/sqrt(5) + (-4*sqrt(104)/sqrt(8) - (-5 + sqrt(52)/sqrt(4))))**2.
10*sqrt(13) + 38
Simplify (-4*(6*(sqrt(147)*-1 + 1 - (sqrt(147)*-2 + 0)) + 0))**2*-2.
-170496 - 16128*sqrt(3)
Simplify ((sqrt(14) + 2*sqrt(14))*-2*-5*1)/((sqrt(12) - (sqrt(12) + -4*sqrt(36)/sqrt(3)))/(6*sqrt(24)/sqrt(4))).
45*sqrt(7)
Simplify 4*(-2*((sqrt(1539) + 2)*3 + 2*-3*sqrt(1539) + sqrt(1539))*-4)**2.
-55296*sqrt(19) + 1585152
Simplify (2 + (1 + sqrt(1331) + -2 + sqrt(1331) + sqrt(1331)*1 + 5 - 1*(-6*(0 + sqrt(1331)) + sqrt(1331))*3))**2.
2376*sqrt(11) + 431280
Simplify (-4*(sqrt(204) - sqrt(204)*-2) - (sqrt(204) - (sqrt(204) - (sqrt(204) - (5*1*sqrt(204) - sqrt(204))))))/(-3*(1*sqrt(384))/sqrt(8)).
3*sqrt(17)/2
Simplify ((2 + (-1*sqrt(396) + sqrt(396))*-4 + -1 + ((sqrt(396) - (sqrt(396) - (sqrt(396) + -1) - sqrt(396))) + sqrt(396))*-6)*-6)**2.
-54432*sqrt(11) + 4620708
Simplify (sqrt(405)*1*1 + -4 - -6*(sqrt(405) + -2*1*sqrt(405) - sqrt(405)))**2*-3.
-147063 - 2376*sqrt(5)
Simplify ((1*sqrt(88)*-2)/(sqrt(4) + (5*sqrt(16)/sqrt(4) - sqrt(4)) + sqrt(4)))/(6*(6*(-4*sqrt(275) + sqrt(275)) + sqrt(275))).
sqrt(2)/1530
Simplify (-3*(sqrt(1053) + 5*(-1 + sqrt(1053)) - sqrt(1053) - sqrt(1053)) + 3 + 1 + 4 + sqrt(1053) + 1 + -1 + sqrt(1053))**2.
-4140*sqrt(13) + 105829
Simplify 4 + (sqrt(56) - (sqrt(616)*-1)/sqrt(11))/sqrt(8) + -5 + (1*sqrt(175)*-4 + 1 + ((-1 + sqrt(175))**2 + sqrt(175) - sqrt(175)))*-5.
-886 + 152*sqrt(7)
Simplify sqrt(5808) + 1 + 2 - (-3*(sqrt(90)/(1*sqrt(6)))/sqrt(5))**2.
-24 + 44*sqrt(3)
Simplify (4*-6*sqrt(468)*-5 - -1*(sqrt(325) + sqrt(325) + (-4 + sqrt(325) - sqrt(325)) + 0)**2) + 5.
1321 + 640*sqrt(13)
Simplify ((sqrt(88) - (sqrt(88)*2*-1 + sqrt(88)))/(-2*sqrt(512)) - sqrt(33)/(sqrt(147)*-3 - sqrt(147))*-4)**2*-1.
-2475/3136
Simplify -5*((5*-6*sqrt(13)*1*-1 - (sqrt(130) - (sqrt(130)*2 + sqrt(130))*1)/(sqrt(10) - -1*sqrt(490)))*-1)**2.
-951665/16
Simplify (1*(-2*sqrt(3456) - sqrt(3456)) - (sqrt(3456) - (-1*2*sqrt(3456) + sqrt(3456) - sqrt(3456))))/(5*2*sqrt(800) + 3*1*sqrt(800) + sqrt(800)) + 1.
-18*sqrt(3)/35 + 1
Simplify (4 + -4*(sqrt(1300) + 3) - (1*-1*sqrt(1300) - (-2*sqrt(1300)*-6 + sqrt(1300))))**2*-2 + -3.
-260131 + 3200*sqrt(13)
Simplify (3*((1 + sqrt(75))*6*-4 + sqrt(75)*-1 + -3 + -4) + -5)**2.
73500*sqrt(3) + 431479
Simplify (3*2*(sqrt(891) - (sqrt(891) + -3*sqrt(891)) - sqrt(891)) + sqrt(891) + -2 + 4 + 1 + -4)**2.
-234*sqrt(11) + 150580
Simplify -4*((-1*sqrt(2299) + -1 - ((sqrt(2299) + sqrt(2299)*2 + sqrt(2299))*-4 + sqrt(2299)))**2 + ((sqrt(2299) + 0)*5)**2 + 5) + -2.
-2032342 + 1232*sqrt(19)
Simplify (-1*sqrt(76))**2 + -2 + sqrt(76)*3*-5 - (6*(1 + sqrt(76) + 1 + sqrt(76) - -5*-2*sqrt(76)))**2.
-175174 + 2274*sqrt(19)
Simplify 1 + (-5 + 1 + sqrt(2048) + -2 + 0 + sqrt(2048) + (sqrt(2048) + sqrt(2048)*-1)*-2*-1)**2.
-768*sqrt(2) + 8229
Simplify sqrt(170)/sqrt(90) + (sqrt(68))**2 + 3 - sqrt(34)/(sqrt(2) + sqrt(2) + (sqrt(2) - (sqrt(2) + -2*sqrt(162))))*2.
7*sqrt(17)/30 + 71
Simplify ((sqrt(117)*-3 - sqrt(117))/sqrt(9) - (sqrt(117) + 2 - sqrt(117))**2) + ((sqrt(325) + 3)**2 - (sqrt(78)/sqrt(24) + sqrt(13) - sqrt(13))**2)*5.
146*sqrt(13) + 6599/4
Simplify (2*(sqrt(96) - (sqrt(96) + (2*((sqrt(96) - -1*sqrt(96)) + sqrt(96)) - sqrt(96)) + sqrt(96)) - sqrt(96)))/(-2*sqrt(3)*-2*6*-2).
7*sqrt(2)/6
Simplify (sqrt(330)/(sqrt(55)/sqrt(5)) + sqrt(1920) + -1*sqrt(1920) + sqrt(30))/(sqrt(54)*-5*1) + -4.
-4 - 2*sqrt(5)/15
Simplify (((sqrt(72) + sqrt(72)*-2 - sqrt(72))*-3)/(sqrt(8) + sqrt(8)*-2*-4 - sqrt(8)))/((sqrt(90)/(sqrt(20)/sqrt(4)))/(2*(sqrt(6) - sqrt(6)*2))).
-3*sqrt(3)/2
Simplify ((sqrt(6) + sqrt(96)/sqrt(4))*-1*4)/((sqrt(80) - (sqrt(80)*1 + sqrt(80)) - sqrt(20))/(-6*sqrt(20)/sqrt(2))).
-24*sqrt(3)
Simplify -2*((6*(2*sqrt(147) - sqrt(147)))**2 + 1 - ((2 + sqrt(147)*-1 + sqrt(147) + sqrt(147))**2 + 0))*3.
-30852 + 168*sqrt(3)
Simplify 3*2*(-4 + sqrt(117) + 1 + sqrt(117) + 3 - ((sqrt(117) + -2*(sqrt(117) - -1*sqrt(117)) - sqrt(117)) + 5)**2)*-4.
-3024*sqrt(13) + 45528
Simplify (-3*(sqrt(204)/((sqrt(6) - sqrt(6)*-1)*-5))/((sqrt(288) + sqrt(288)*-3)*6))**2.
17/230400
Simplify -5*((sqrt(363)*-1 + 1)**2 - (-5 + 0 + sqrt(363)) - (((sqrt(363) + 0 + sqrt(363) - sqrt(363))*1)**2 + -5)).
-55 + 165*sqrt(3)
Simplify -3 + (-1 + sqrt(153))**2 + sqrt(68)/(sqrt(36)/sqrt(144)) + (-3*-2*sqrt(612))**2*-1 + -3.
-21884 - 2*sqrt(17)
Simplify (-4*sqrt(675)*2 + -2*(sqrt(675) - (sqrt(675)*2 + sqrt(675))))/((-1*3*sqrt(72))/(sqrt(24)/sqrt(3)*-1)).
-20*sqrt(3)/3
Simplify (-1*sqrt(154)/(sqrt(11) + (sqrt(11) - -3*sqrt(11)))*-3)/(-6*(sqrt(112) - 4*sqrt(112))*3).
sqrt(2)/360
Simplify (-1*sqrt(11)*5 - (-1*(sqrt(11)*-1 - sqrt(11)) - sqrt(11)) - (-3 + sqrt(11) + 0 + sqrt(1100) + 3))**2 + 2.
3181
Simplify 0 + -3 + (sqrt(171) + ((sqrt(171) + -2)*-2 - sqrt(171)))**2 + -1*(sqrt(171) - (0 + sqrt(171))) + -2 + -2.
-48*sqrt(19) + 693
Simplify (sqrt(315) + ((sqrt(315) + (sqrt(315)*-2 - sqrt(315)))*-2 - sqrt(315)))/(sqrt(20)/sqrt(4)*2 + sqrt(5) + sqrt(320))*-5 + 1.
-60*sqrt(7)/11 + 1
Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77) - -1*sqrt(77)) + sqrt(77)))*-2*6*-1)/(sqrt(35)/sqrt(80) - (sqrt(448) - sqrt(448)*1)).
-144*sqrt(11)
Simplify ((6*(sqrt(152) + sqrt(152) + sqrt(152)*-1 + sqrt(152)) - sqrt(152)*2*-2)/((sqrt(24)*-1)/sqrt(3) + sqrt(32)*4) + 2)*2.
4 + 32*sqrt(19)/7
Simplify (sqrt(14) - (-1*sqrt(112))/sqrt(8))/((sqrt(48)/sqrt(4))/sqrt(6)) - (-4 + ((sqrt(77) + sqrt(77) + (sqrt(77) - 2*sqrt(77)))*1)/sqrt(11))*-5.
-20 + 7*sqrt(7)
Simplify (((-2 + sqrt(171))*2 + sqrt(171) + sqrt(171)*-2 + -4 + sqrt(171))**2 - ((1 + 2 + sqrt(171))**2 + 3 + sqrt(171) + 2)) + 3.
-117*sqrt(19) + 566
Simplify ((3*((sqrt(6655) - sqrt(6655)*2) + sqrt(6655))*1)/(-3*sqrt(275)*-2*3))**2.
0
Simplify ((0 + sqrt(288) + 1 - sqrt(288)) + 2 + -3 - (sqrt(100)*-2)/(sqrt(2) - sqrt(18)*3))**2 + -1.
17/8
Simplify (sqrt(228)*-1*2)/(6*sqrt(108)) - (-4*sqrt(931)*-5 + -5).
-1261*sqrt(19)/9 + 5
Simplify (-4*5*(sqrt(136) + (sqrt(136) - (sqrt(136) - sqrt(136)*2)))*-6)/((sqrt(360)*-3)/(sqrt(25)/sqrt(20))) + -2.
-20*sqrt(17) - 2
Simplify (sqrt(612)*2 + 0 + (sqrt(612) - 1*sqrt(612) - sqrt(612)) + -1 + 3 + (sqrt(612)*3 + 1 - sqrt(612)))**2.
108*sqrt(17) + 5517
Simplify (sqrt(3456)*-3 - sqrt(264)/sqrt(539))/((sqrt(180)/sqrt(3)*2 - sqrt(60))/(sqrt(25)/(sqrt(20)/sqrt(4)))).
-253*sqrt(2)/7
Simplify 4*(2*(sqrt(156)*-1 - sqrt(156)) + (sqrt(156) - (sqrt(156) - -1*sqrt(156)))*4)/((sqrt(12) - 3*sqrt(12)*4)*1)*-2.
-64*sqrt(13)/11
Simplify ((sqrt(513)/sqrt(9) - sqrt(57))/sqrt(3) - -5*(sqrt(1216) - sqrt(19) - sqrt(19))) + (4 + sqrt(57)/sqrt(3) - (sqrt(76) + 1)) + 0.
3 + 29*sqrt(19)
Simplify ((-5*(sqrt(300) + -1*sqrt(300)*-4 + sqrt(300) + sqrt(300))/sqrt(10))/(-1*(-1*sqrt(120)*2)/sqrt(12)))**2.
3675/4
Simplify (-2*(sqrt(132)*3 - sqrt(132)) - (sqrt(132)*2 + sqrt(132))*1)/(sqrt(12)*1*-6 + sqrt(240)/sqrt(5) + sqrt(48)).
7*sqrt(11)/2
Simplify ((1 + sqrt(405) + sqrt(405))*1*-3 + 4 - -6*((sqrt(405) - -4*(sqrt(405) - (sqrt(405) + 1))) + sqrt(405) + (sqrt(405) + 0)*5))**2.
-14904*sqrt(5) + 525409
Simplify -6*(-4 + 4*(-1 + sqrt(450)) + sqrt(450)*-1 + -4 + -5*(-1*sqrt(450) + sqrt(450)))**2*2.
-50328 + 12960*sqrt(2)
Simplify (-2 + sqrt(171) + (sqrt(171) + sqrt(171) + -2)**2 - (1 + 1*sqrt(171) - sqrt(171))**2) + (-5*sqrt(171)*-1*2)**2 + 5.
-21*sqrt(19) + 17790
Simplify (2 + (0 + sqrt(147) + (sqrt(147) + -1 - sqrt(147)) + 5)**2 - ((sqrt(147) + (sqrt(147) + 1)*1 + 3)**2 + 0)) + -1.
-440 - 56*sqrt(3)
Simplify -1*(2*-2*(sqrt(1008) + -1 + sqrt(1008) + 3)*-6 + 5)**2*5.
-11626205 - 305280*sqrt(7)
Simplify ((sqrt(1300)*1*5)**2*2 + (4 + 3*sqrt(1300)*1)**2)*2.
480*sqrt(13) + 153432
Simplify (-4*sqrt(1050)*1 + sqrt(1050) + (3*(sqrt(1050) + 2*sqrt(1050)) - sqrt(1050)))/(sqrt(48)/sqrt(8)*-2 - -6*(sqrt(96) + sqrt(6))).
25*sqrt(7)/28
Simplify ((sqrt(100)/(1*sqrt(10)))/(4*sqrt(20)/sqrt(4)))**2 - (3*sqrt(4050))**2*-3.
874801/8
Simplify -3 + ((sqrt(35) - (sqrt(315) - (sqrt(315) + sqrt(315)*-1)))/( | {
"pile_set_name": "DM Mathematics"
} |
(a) 0.01 (b) -4/3 (c) 3/29 (d) 2/21
a
What is the biggest value in 8, 4/9, 0.25?
8
What is the fourth smallest value in 0.1, -4, -0.1, 2/5?
2/5
What is the biggest value in 2/7, 0.08, 3, -5/7?
3
Which is the third smallest value? (a) -1 (b) 4 (c) 2
b
Which is the fourth biggest value? (a) -2/3 (b) 5 (c) -2/5 (d) -1/3
a
Which is the fourth smallest value? (a) -5 (b) 0.2 (c) -43 (d) -1.8
b
What is the fourth biggest value in -7, -4, -3, -1/6, 0.1?
-4
Which is the smallest value? (a) 0.1 (b) -31.1 (c) 0.5
b
Which is the second smallest value? (a) -7 (b) 356 (c) -0.4 (d) -4
d
Which is the smallest value? (a) 2/11 (b) 4 (c) -287/4 (d) 1
c
What is the smallest value in -4, 1, 9, -23?
-23
What is the second smallest value in 3, 0.2, -8/5?
0.2
What is the smallest value in 2/5, 1/103, -0.1?
-0.1
Which is the fourth smallest value? (a) 0.09 (b) -0.1 (c) -5 (d) -2 (e) 1
a
What is the third smallest value in 7.7, -0.3, 5?
7.7
Which is the smallest value? (a) 12 (b) 0.015 (c) -0.4
c
What is the second biggest value in -2, 4, 3/4, 3/11, -13?
3/4
What is the smallest value in 2/7, 0.12, -1, -0.32?
-1
What is the third biggest value in 3/5, -2/3, -68?
-68
Which is the third smallest value? (a) 5 (b) 1/11 (c) -0.3 (d) -4 (e) 7
b
What is the second smallest value in -6, -5, 21, -2/11, -0.2?
-5
What is the fourth smallest value in 1/4, 7, 14, -0.2?
14
What is the smallest value in -3, -5, -12/55?
-5
Which is the fourth biggest value? (a) 2/5 (b) 5 (c) 4 (d) -10 (e) 28
a
What is the second smallest value in -12, 1, 0?
0
What is the third biggest value in 28, -5, 2/5?
-5
What is the third biggest value in 1/7, -2016, 0.5?
-2016
Which is the fourth smallest value? (a) -2/243 (b) -1 (c) 3 (d) 0.2
c
What is the third smallest value in -4/3, 1180, -4/9?
1180
Which is the third biggest value? (a) -0.1 (b) 1/6 (c) -385
c
Which is the second biggest value? (a) 3 (b) -836 (c) 5
a
What is the second biggest value in -2/5, -5/2, -1/5?
-2/5
What is the second smallest value in 3/2, -132, -8?
-8
Which is the fifth smallest value? (a) -5 (b) -6 (c) -3 (d) 2 (e) -1
d
Which is the smallest value? (a) 0 (b) 0.025 (c) 5
a
What is the fourth smallest value in 2/153, -3/5, -2, 2?
2
Which is the fourth smallest value? (a) -2/9 (b) 4 (c) -0.0759 (d) 5
d
Which is the third biggest value? (a) -9/5 (b) 1/22 (c) -5 (d) -14
c
What is the third smallest value in 0.3, 2, 0.145?
2
What is the second smallest value in -1, 0.5, -525?
-1
Which is the second smallest value? (a) 2 (b) 4 (c) -0.1 (d) 10 (e) 1/10
e
Which is the third smallest value? (a) 17 (b) 2 (c) -0.2
a
Which is the biggest value? (a) -4 (b) 31 (c) 6/11 (d) 0
b
What is the second smallest value in -845, -5, -3, 0.1?
-5
What is the third biggest value in 31, 2/5, -0.4, 2?
2/5
What is the third smallest value in 4, -5, -7, -1.2?
-1.2
What is the fourth biggest value in 0.2, -7, -4/3, 4?
-7
What is the fourth biggest value in -2/3, 2, 4/5, 3, -5?
-2/3
What is the fourth smallest value in 4, 2, 7/5, 3?
4
What is the smallest value in 2, -3.75, -4?
-4
What is the fourth biggest value in 0.4, -0.8, 65, -3, 1?
-0.8
Which is the second biggest value? (a) 0.5 (b) 2/3 (c) -16 (d) -3/5
a
Which is the fourth smallest value? (a) 20 (b) -18 (c) -1/5 (d) 2/5
a
Which is the third smallest value? (a) 18.8 (b) -2 (c) -0.2
a
Which is the fourth biggest value? (a) 0.2 (b) 1/25 (c) -2 (d) 3
c
What is the third biggest value in 673/4, -4, -0.3?
-4
Which is the third smallest value? (a) 1/3 (b) 3 (c) -1 (d) 0.3
a
What is the smallest value in 2, -2/7, -3/5, -22?
-22
What is the fifth smallest value in 3/4, -2/9, -29, 3, 2/5?
3
What is the fourth biggest value in -3, -2/31, 2, -1?
-3
Which is the second smallest value? (a) -6 (b) -2/5 (c) 43
b
What is the second biggest value in 1/13, -20, 0.06?
0.06
What is the fifth biggest value in -4, 2, -5/8, -7, 0?
-7
What is the smallest value in 11, -74, 1/5?
-74
What is the second biggest value in -2/9, 2/17, 0.1, -2/35?
0.1
Which is the biggest value? (a) -3 (b) -2/5 (c) -0.29
c
Which is the second biggest value? (a) -9/7 (b) 0.2 (c) -1/3 (d) -2
c
What is the fifth smallest value in -2/7, -215, -1/2, -3, 0?
0
What is the second smallest value in -74, -1/6, -1/4?
-1/4
What is the fourth smallest value in 1/11, 4, -0.5, -4/5?
4
Which is the third biggest value? (a) -12 (b) -1 (c) 2/5 (d) -2/13 (e) 0.44
d
Which is the second biggest value? (a) -0.4 (b) -5 (c) -44 (d) 0.3
a
What is the smallest value in -9, -5, -1/7, -1/4?
-9
What is the second biggest value in -1, 0.336, -0.1?
-0.1
Which is the fourth smallest value? (a) -1/2674 (b) -3 (c) -0.5 (d) -1/4
a
Which is the smallest value? (a) 85/91 (b) 3/7 (c) 2
b
Which is the biggest value? (a) -2 (b) 3 (c) -1/3 (d) 40
d
What is the second smallest value in -1/3, -35, 0.3, 5?
-1/3
Which is the second biggest value? (a) -1/7 (b) -0.1 (c) 8 (d) 0.3
d
What is the second smallest value in -3/11, 216, 3?
3
Which is the third biggest value? (a) 4 (b) 2 (c) 2/47 (d) 2/7
d
What is the fifth smallest value in 0.1, -2/3, 3, -1, -2/7?
3
Which is the third smallest value? (a) -0.4 (b) 60 (c) -1/6
b
Which is the biggest value? (a) -13 (b) 1 (c) 4 (d) -4
c
Which is the biggest value? (a) -1/4 (b) 2 (c) -4 (d) 1/7 (e) 625
e
Which is the fourth biggest value? (a) 0.3 (b) -0.1 (c) -5 (d) 3/5 (e) 28
b
What is the third biggest value in 3/5, -4, 431, -5?
-4
Which is the fourth biggest value? (a) -3 (b) -1 (c) 0.78 (d) 4
a
What is the second smallest value in 21, 2/51, -2?
2/51
Which is the second smallest value? (a) 1 (b) -2 (c) -0.2 (d) -15
b
Which is the second biggest value? (a) -5 (b) -2/29 (c) 18 (d) -4
b
Which is the smallest value? (a) 2/17 (b) -2/5 (c) -32
c
Which is the biggest value? (a) -0.3 (b) -311 (c) 3 (d) -3 (e) 2
c
What is the third smallest value in -1/4, 0.1, 4/7, 73, -12?
0.1
What is the second biggest value in -1/521, 3, -0.5?
-1/521
What is the biggest value in -4, 57, -2, 1?
57
Which is the third biggest value? (a) -2 (b) -1.85 (c) -2/3
a
Which is the smallest value? (a) 2/3 (b) -1/321 (c) -0.4
c
Which is the second smallest value? (a) -2/5 (b) 10.19 (c) 2
c
What is the smallest value in 1, -2/7, 4, 15?
-2/7
Which is the smallest value? (a) 56.5 (b) -2/13 (c) 3/5 (d) 1/6
b
Which is the second smallest value? (a) -5 (b) 0 (c) 49.2 (d) 5
b
Which is the fourth biggest value? (a) 5 (b) -13/5 (c) -0.05 (d) -0.4
b
Which is the second smallest value? (a) 1/3 (b) 1/11 (c) -131
b
Which is the third biggest value? (a) 8 (b) -153 (c) 3
b
Which is the third smallest value? (a) -14 (b) -0.11 (c) -5
b
Which is the fourth biggest value? (a) -1 (b) -1/3 (c) -3/7 (d) -0.5
a
Which is the second biggest value? (a) -1/9 (b) -2.9 (c) 3 (d) -2
a
Which is the second biggest value? (a) 0.08 (b) 7/8 (c) -2/7
a
Which is the second smallest value? (a) -0.04 (b) 5 (c) -3/5
a
What is the smallest value in -58, -0.2, -0.1?
-58
What is the fifth biggest value in -1/4, 1.709, 1, 2, -0.4?
-0.4
Which is the second biggest value? (a) 1366 (b) -1/2 (c) 0.5
c
Which is the second smallest value? (a) 2 (b) -1 (c) 2/19
c
Which is the second biggest value? (a) 0.5 (b) -5.9 (c) 0.3
c
What is the fourth biggest value in -4, -2, -0.2, 1/3?
-4
What is the fifth smallest value in 3, 5, 51, -0.1, -2/11?
51
What is the second biggest value in -22, 32, 0.3?
0.3
What is the third biggest value in 9.3, 0.1, -1?
-1
Which is the fourth smallest value? (a) -0.5 (b) -1/3 (c) 96 (d) 2
c
What is the fourth biggest value in 28, 1, 0.5, -1?
-1
Which is the third smallest value? (a) 0.3 (b) -0.11 (c) -5 (d) 4 (e) -3/8
b
Which is the fourth smallest value? (a) 17.3 (b) 3/5 (c) 5 (d) -4
a
What is the third smallest value in -3, 0.14, 4?
4
Which is the second biggest value? (a) 1/6 (b) -8/3 (c) 28 (d) 2/7 (e) 2
e
What is the fourth smallest value in -5, 0.5, 42, -12?
42
Which is the second biggest value? (a) 4 (b) 5 (c) -0.3 (d) 4/5
a
Which is the second biggest value? (a) -6 (b) -40 (c) 1/2 (d) -0.5
d
What is the third smallest value in -0.28, 5, -76, -2/7?
-0.28
What | {
"pile_set_name": "DM Mathematics"
} |
-279))/((-2)/(-6))?
491
Let m(y) = 8*y + 242. Let t = -12 + 12. What are the prime factors of m(t)?
2, 11
Suppose 0 = -41*k + 37*k + 1080. Let d = k - 104. What are the prime factors of d?
2, 83
Let k(x) = 53*x**2 - x - 2. Suppose 3*r + 7 + 2 = 0. Let v be -2 + (1 - (-3 - r)). List the prime factors of k(v).
2, 13
Let p = -1 + -6. Let x = 62 + p. List the prime factors of x.
5, 11
List the prime factors of (1 - 26724/(-32)) + 3/(-24).
2, 11, 19
Let m(z) = 7*z + 12. Let s(l) = 4*l - 10. Let v(i) = 3*i - 7. Let t(j) = 5*s(j) - 7*v(j). Let r(u) = -m(u) - 5*t(u). List the prime factors of r(-7).
7
Let u be (-60)/(-4) - (-3 + 1). Let a = 71 + -47. Let f = a - u. List the prime factors of f.
7
Let n be ((-565)/10)/((-2)/(-4)) - 6. Let b = -95 - 99. Let j = n - b. What are the prime factors of j?
3, 5
Suppose -4*l - 5*i - 469 + 2125 = 0, -3*l - 3*i + 1242 = 0. List the prime factors of l.
2, 3, 23
Let b(u) = u**3 + 5*u**2 - 6*u + 5. Let y be b(-6). What are the prime factors of (-32)/(-60)*y/2*54?
2, 3
Let d(a) = 3*a**2 - a - 1. Let q be d(2). Let i(h) = h - 2. Let s be i(q). Suppose 3*b - 5*m = 12, 4*b + 4*m - 9 = s. List the prime factors of b.
2
Let j(s) = s**2 - s. Let r(d) = -d**3 - 12*d**2 + 8*d - 5. Let h(x) = -6*j(x) - r(x). What are the prime factors of h(-6)?
17
Let g(t) = -t**3 - 7*t**2 + 1. Let u be g(-7). Let r(w) = -9*w + 3*w - 8*w - u + 0*w. What are the prime factors of r(-2)?
3
Suppose -5 = -q, 3*u - 4*q = -q + 207. Let d = u - -24. Suppose 0 = l + p - 33 + 7, d = 4*l + p. List the prime factors of l.
2, 3
Let h = 431 + -122. What are the prime factors of h?
3, 103
Suppose -5*j + 4*h = -10 - 26, 2*j = -h + 4. Suppose j*u - 3 = 73. Let d = 27 - u. What are the prime factors of d?
2
Let k(p) = p**3 - 6*p**2 + 6*p - 7. Let f be k(5). Let a be (55 - -1)/((-1)/f). List the prime factors of 1/(-5) + a/10.
11
Let d be (2 - 2)*6/(-6). Let h be (1 - 4 - -2)*-3. Suppose d*a = h*a - 75. List the prime factors of a.
5
Let d = 543 + -85. What are the prime factors of d?
2, 229
Let d be (-3)/9 - (-40)/12. Suppose j - 5*i + 0 = 3, j - 4*i = d. Suppose -j*p + 220 = 2*p. What are the prime factors of p?
2, 11
Let h be (-847)/22*(-3 + 1) + 0. Suppose 6*j = -h + 221. What are the prime factors of j?
2, 3
Suppose 0 = -3*u + 2*k + 548, 7*k = -u + 5*k + 172. What are the prime factors of u?
2, 3, 5
Let i = -14 + 18. Suppose -5*z + z = -i. Let f(b) = 8*b**3 - b**2 + 1. List the prime factors of f(z).
2
Let n(d) = -d**3 - 9*d**2 - 6*d - 8. Let a(y) = 4*y**3 + 37*y**2 + 23*y + 33. Let l(f) = 2*a(f) + 9*n(f). List the prime factors of l(-7).
2, 5
Suppose -209*y = -249*y + 20440. What are the prime factors of y?
7, 73
Let o be 2*(-10)/5*-2. Suppose q - 4 = -0*n + 2*n, -2*n = 4. Suppose q*t + o = t. List the prime factors of t.
2
Let g(q) = 21*q**3 - 341*q**2 + 7*q + 11. What are the prime factors of g(17)?
2, 2377
Let b(f) = f**3 + 33*f**2 + 36*f + 35. List the prime factors of b(-30).
5, 331
Suppose 3*g + o + o - 16 = 0, 5*o = 4*g + 17. Suppose -4*z - 5*a + 4*a + 11 = 0, -g*z = -5*a - 33. What are the prime factors of z?
2
Suppose -2*g + 134 = -654. What are the prime factors of g?
2, 197
Suppose -5 = z, -2*z + 0*z = -4*i + 2106. List the prime factors of i.
2, 131
Let o = 222 - 220. Let f(x) = x + 8. Let t be f(-6). Suppose -o*p + 120 = t*p. What are the prime factors of p?
2, 3, 5
Let a be (2/(-5) - -1)/(6/210). List the prime factors of (-1)/((-5)/328) + a/(-35).
5, 13
Let u be (-2 - -2) + 4 + -4. Suppose 0*a - v - 409 = -3*a, u = -4*a - 4*v + 556. Suppose -3*s - 344 = -5*i, 0*i = 2*i - s - a. What are the prime factors of i?
67
Let k = -1650 + 2763. List the prime factors of k.
3, 7, 53
Let y = 282 + -150. Let a = y - 75. List the prime factors of a.
3, 19
Let f = -206 + 123. Let o = f - -175. List the prime factors of o.
2, 23
Let n = -792 + 2297. What are the prime factors of n?
5, 7, 43
Let j(w) = 11*w - 3. Suppose 9*q - 7 = 8*q. Suppose 17 - q = 2*k. What are the prime factors of j(k)?
2, 13
Let j be -17 + 5*(-6)/(-10). Suppose -7*a = -3*a + 48. Let w = a - j. What are the prime factors of w?
2
Let z = -31 + 33. Suppose -z*a = 23 - 163. List the prime factors of a.
2, 5, 7
Suppose 3*x - z - 13 + 4 = 0, z - 3 = -3*x. Suppose -4*t - 52 = 4*m, t - 31 = x*t - 5*m. Let l = t - -31. What are the prime factors of l?
3, 5
List the prime factors of 5448/30 - (-4)/10.
2, 7, 13
Let q = -4 - -13. Let a(h) = 6*h - 21. What are the prime factors of a(q)?
3, 11
Suppose 5*f = 3*f + 26. Let s = 3 + -6. Let c = f + s. List the prime factors of c.
2, 5
Suppose -2*b - b = 0. Suppose -3*v + 83 + 10 = b. Let m = v - -6. What are the prime factors of m?
37
Let u be 2 - (-1 + -2 + -1 + 2). Suppose -u*x + 0*x = 3*r - 74, 70 = 3*r + 5*x. List the prime factors of r.
2, 3, 5
Suppose 2*n + 35*g - 37*g - 1670 = 0, 3*g + 841 = n. What are the prime factors of n?
2, 13
Suppose -6 = -4*v + 6. Suppose -v*a = -a - 8. Suppose -a*m + 18 + 50 = 0. List the prime factors of m.
17
Let s(v) be the first derivative of 16*v**2 - v - 6. List the prime factors of s(2).
3, 7
What are the prime factors of (-7713)/(-7) + (270/63)/(-5)?
3, 367
Let c = -10 - -22. Let u = c - 12. Suppose u = 5*q + 25, 4*z + 3*q = 2*q + 171. List the prime factors of z.
2, 11
Let u(b) = b**3 - b**2 - b + 1. Let p be u(-1). Suppose -3*d + q + 226 = p, 0*d + 3*d = -2*q + 214. List the prime factors of d.
2, 37
Let b be -5 - (-3 - -1)/(-1). Let m = -5 - b. Suppose -2*g + 5*g - m*k = 58, 2*k = -5*g + 102. List the prime factors of g.
2, 5
Let c = -6 + 6. Suppose -77 = -u - c*u. List the prime factors of u.
7, 11
Let o(b) = -23*b**3 + b**2 - 2*b + 2. Let w be o(1). Let m be (-40)/22 + 4/w. What are the prime factors of (m + 76/12)*3?
13
Suppose 69*j - 73*j - 4*b + 5472 = 0, 0 = j + 2*b - 1367. What are the prime factors of j?
37
Let r be 6/9*12*1/2. Suppose 4*b + r*c = 596, -147 = -2*b + c + 139. List the prime factors of b.
5, 29
Let f(b) = b**3 - b**2 + 9*b + 14. Let s be f(0). Let o be -6 + 2/(2 - 0). List the prime factors of s + (4 + o - -1).
2, 7
Let k be (-50)/(4/(-28)*1). Suppose -3*p = -8*p - 5*t + k, -5*t = 2*p - 146. List the prime factors of p.
2, 17
Suppose -10 - 8 = -3*x. Let a(w) = -w**3 + 7*w**2 + 3*w - 1. List the prime factors of a(x).
53
Let a(n) = 15*n + 704. List the prime factors of a(0).
2, 11
Suppose z = 3, -5*g - 5*z + 374 + 4111 = 0. What are the prime factors of g?
2, 3, 149
Let c(i) = 100*i - 433. What are the prime factors of c(23)?
1867
Let b(c) = c + 31. Let z be b(-16). List the prime factors of z + 74 + -3*1.
2, 43
Let s = 77 + 448. What are the prime factors of s?
3, 5, 7
Let s = 579 - 462. What are the prime factors of s?
3, 13
Suppose o + 14 - 4 = 0. List the prime factors of (186/(-9))/(0 + o/15).
31
Suppose a - 4*m = 13, a - 2 = 2*m + 5. Let t = a + 5. Suppose -o + 40 = -t. What are the prime factors of o?
2, 23
Suppose 0*q - 1687 = -4*q + 3*t, -3*q - 3*t = -1239. List the prime factors of q.
2, 11, 19
Suppose -4*v - 6 = a + 14, 0 = -2*a + 2*v + 10. Suppose -5*f + 11 + 14 = a. List the prime factors of (f/2 - 2)*26.
13
Suppose 3*h - b = 3, 3*h - 4*b + 0*b = -6. Suppose h*c = c. Suppose c*o + o - 29 = 0. List the prime factors of o.
29
Let m be (300/(-15))/((-2)/3). Suppose 0*u + 2*u = -m. Let p(v) = v**3 + 15*v**2 - 3*v + 21. What are the prime factors of p(u)?
2, 3, 11
Let z be 60 + 2 + 2 + -2. Suppose -5*w - z + 322 = 0. Suppose 0 = -5*l - 0*l - 5*k + 300, l - 3*k = w. What are the prime factors of l?
2, 29
List the prime factors of ((-45)/6)/((-147329)/13390 + 11).
5, 103
Let d = 18 + -36. What are the prime factors of ((-9)/d)/((-1)/(-46))?
23
Let o = -3 - -13. Suppose -o = -f - d - 3*d, 2*d = -f + 6. Suppose r - 2 = 0, -3*r = -x - f*x + 54. What are the prime factors of x?
2, 5
Let c = 7 - -1. Let w(g) = -g**3 + 11*g**2 - 8*g + 11. List the prime factors of w(c).
139
Suppose -2*o = -0*o + 2*a - 2, 4*a = 2*o - 20. Suppose o*h = h + 372. What are the prime factors of h?
2, 31
Let k = 69 + -48. Let r = 88 - k. Let x = 129 - r. What are the prime factors of x?
2, 31
Suppose 4*s + 1012 = -3*w, 2*s + 528 = 5*w - w. Let n = -74 - s. What are the prime factors of n?
2, 7, 13
Suppose 0 = -3*b - 3 + 6. Let u(r) = 4 + 0 - 7 + b + 9*r. What are the prime factors of u(3)?
5
Suppose 2648*a | {
"pile_set_name": "DM Mathematics"
} |
rom {s: 1, z: 2, y: 8, f: 3, u: 2, i: 1}?
1/1190
What is prob of sequence uhu when three letters picked without replacement from suhzu?
1/30
Calculate prob of sequence mvi when three letters picked without replacement from vvilmlihmhvhmvhvmvd.
8/969
Calculate prob of sequence ff when two letters picked without replacement from fffuufccfuuuufuffauf.
18/95
Calculate prob of sequence oz when two letters picked without replacement from tyotozttokz.
3/55
Calculate prob of sequence yim when three letters picked without replacement from {y: 4, p: 3, m: 1, k: 1, x: 3, i: 3}.
2/455
What is prob of sequence ddp when three letters picked without replacement from bbppdddbpbdddbb?
3/91
What is prob of sequence lq when two letters picked without replacement from qqleqqeqqqqqqq?
11/182
What is prob of sequence zj when two letters picked without replacement from zjxzzxzxzzxzxzzxt?
9/272
Three letters picked without replacement from zmhalle. Give prob of sequence hal.
1/105
What is prob of sequence uiye when four letters picked without replacement from uuyiiyjeyiyeyyyi?
1/390
Two letters picked without replacement from {k: 1, a: 1, z: 3, t: 2}. What is prob of sequence zt?
1/7
Four letters picked without replacement from {w: 1, s: 3, j: 1, l: 3, m: 2, p: 2}. Give prob of sequence wmms.
1/1980
What is prob of sequence oo when two letters picked without replacement from {o: 10}?
1
Four letters picked without replacement from miqiiiiig. What is prob of sequence qimg?
1/504
What is prob of sequence hll when three letters picked without replacement from thltthtlt?
1/126
Calculate prob of sequence ltll when four letters picked without replacement from {t: 5, l: 8}.
14/143
Two letters picked without replacement from {e: 3, y: 7}. Give prob of sequence ey.
7/30
What is prob of sequence cc when two letters picked without replacement from crcrrrcrrrrrrr?
3/91
Four letters picked without replacement from jynyndnn. Give prob of sequence njnd.
1/140
Three letters picked without replacement from {b: 3}. What is prob of sequence bbb?
1
Two letters picked without replacement from {n: 3, i: 1}. What is prob of sequence nn?
1/2
What is prob of sequence dddo when four letters picked without replacement from {d: 3, i: 5, o: 1}?
1/504
Two letters picked without replacement from bxl. What is prob of sequence bb?
0
Calculate prob of sequence jt when two letters picked without replacement from {t: 5, f: 4, j: 1}.
1/18
Two letters picked without replacement from {z: 1, a: 2, e: 5, o: 1}. Give prob of sequence eo.
5/72
What is prob of sequence mmmw when four letters picked without replacement from gmmmzzzwmhzjzjmjgzzw?
1/969
Three letters picked without replacement from snnbs. What is prob of sequence bnn?
1/30
Three letters picked without replacement from {r: 5, d: 1, o: 2, s: 5, z: 4, i: 3}. Give prob of sequence zzs.
1/114
Three letters picked without replacement from chbbhhhhcbhnhnh. What is prob of sequence bcn?
2/455
Three letters picked without replacement from {y: 7, x: 7}. Give prob of sequence yyx.
7/52
Calculate prob of sequence bytp when four letters picked without replacement from {b: 1, h: 1, p: 1, t: 1, y: 1}.
1/120
Calculate prob of sequence ag when two letters picked without replacement from {g: 1, b: 1, a: 2, t: 1}.
1/10
Two letters picked without replacement from xxqz. What is prob of sequence qx?
1/6
Three letters picked without replacement from vssssssssvsss. What is prob of sequence svv?
1/78
Four letters picked without replacement from ddddddddduddd. What is prob of sequence dddu?
1/13
Calculate prob of sequence la when two letters picked without replacement from {l: 1, n: 1, p: 1, a: 1, k: 1}.
1/20
Two letters picked without replacement from bswhs. Give prob of sequence wb.
1/20
What is prob of sequence lt when two letters picked without replacement from rltxr?
1/20
What is prob of sequence qqt when three letters picked without replacement from {q: 6, r: 3, t: 1, m: 8}?
5/816
Two letters picked without replacement from zzzzzzzzzuzz. Give prob of sequence zu.
1/12
Three letters picked without replacement from qqk. Give prob of sequence qkq.
1/3
Calculate prob of sequence nncn when four letters picked without replacement from nnncrnrcnnn.
7/132
Calculate prob of sequence xx when two letters picked without replacement from nxwnnwynwxwnnwybnn.
1/153
Three letters picked without replacement from {g: 6, j: 3, p: 1, z: 3}. What is prob of sequence jjj?
1/286
Calculate prob of sequence hrho when four letters picked without replacement from ohrogchrhtthrr.
4/1001
Calculate prob of sequence cn when two letters picked without replacement from {c: 2, n: 10}.
5/33
Calculate prob of sequence npip when four letters picked without replacement from {n: 3, p: 1, i: 13}.
0
Two letters picked without replacement from {y: 4, n: 3, x: 4, b: 5}. Give prob of sequence xy.
1/15
Three letters picked without replacement from {x: 3, z: 7}. What is prob of sequence zzz?
7/24
Calculate prob of sequence aama when four letters picked without replacement from akaaammam.
5/84
Calculate prob of sequence kzx when three letters picked without replacement from xzkxzzzenkzzkxxz.
1/40
Four letters picked without replacement from rvpvvvvpvpp. Give prob of sequence ppvp.
1/55
What is prob of sequence ii when two letters picked without replacement from {x: 7, i: 5}?
5/33
Calculate prob of sequence bx when two letters picked without replacement from {x: 2, b: 1, w: 1, g: 3}.
1/21
Two letters picked without replacement from zyzbzzzyyyzyb. Give prob of sequence bb.
1/78
Two letters picked without replacement from {v: 9, w: 3, j: 1, g: 3, y: 2}. What is prob of sequence vg?
3/34
What is prob of sequence dqdd when four letters picked without replacement from dddqqqqqqdddqqdq?
9/208
Calculate prob of sequence eq when two letters picked without replacement from rirqrrecrrmirrirrcc.
1/342
Three letters picked without replacement from gae. What is prob of sequence aeg?
1/6
Three letters picked without replacement from apqev. Give prob of sequence epv.
1/60
What is prob of sequence zit when three letters picked without replacement from {z: 4, l: 2, i: 1, m: 1, u: 1, t: 6}?
4/455
Two letters picked without replacement from qpkfuqeqquqfqq. What is prob of sequence qu?
1/13
Calculate prob of sequence smh when three letters picked without replacement from hhsihmm.
1/35
Calculate prob of sequence ll when two letters picked without replacement from lfllllllf.
7/12
Three letters picked without replacement from {p: 2, f: 9}. What is prob of sequence fff?
28/55
Four letters picked without replacement from ljwev. Give prob of sequence elwj.
1/120
Two letters picked without replacement from rsrjrrrjs. Give prob of sequence jr.
5/36
Three letters picked without replacement from yvyvyyv. Give prob of sequence vyy.
6/35
Two letters picked without replacement from {h: 1, z: 2}. Give prob of sequence hz.
1/3
Three letters picked without replacement from pvvpcvv. Give prob of sequence ppv.
4/105
Three letters picked without replacement from {z: 5}. What is prob of sequence zzz?
1
Two letters picked without replacement from vlvllvv. What is prob of sequence lv?
2/7
What is prob of sequence fdd when three letters picked without replacement from fddffd?
3/20
Two letters picked without replacement from wjwjwj. Give prob of sequence wj.
3/10
Two letters picked without replacement from uunuuuuuluuuuuuu. Give prob of sequence lu.
7/120
What is prob of sequence xmp when three letters picked without replacement from mmmkmmkmxkpxkkxpmkkm?
2/285
What is prob of sequence qb when two letters picked without replacement from {l: 16, b: 3, q: 1}?
3/380
Three letters picked without replacement from kkdkdkdkkdk. What is prob of sequence ddd?
4/165
Three letters picked without replacement from mxxfy. What is prob of sequence ymx?
1/30
What is prob of sequence zn when two letters picked without replacement from iiiozziixxxxnoix?
1/120
Three letters picked without replacement from {b: 5, q: 2, f: 1, y: 8, e: 3}. Give prob of sequence feq.
1/969
Two letters picked without replacement from hzw. Give prob of sequence wz.
1/6
What is prob of sequence nt when two letters picked without replacement from nnnntnnttnt?
14/55
Two letters picked without rep | {
"pile_set_name": "DM Mathematics"
} |
5*g - 24, -4*m = 5*g - 46. Let u be (1 - 3) + (m - 6). Suppose -5*p + 2*r = 4*r - 7, -2*p - u = 3*r. Solve p*x = 8*x - 10 for x.
2
Let c(w) = -2*w**2 + 15*w + 113. Let z be c(12). Solve 0 = -z*q + 6*q - 1 for q.
1
Let w be (-35)/14 + (-2)/4. Let d = w + 0. Let n be -8*28/(-8) + d. Solve 0 + n = 5*l for l.
5
Let z(f) = 2*f + 2. Let r be z(9). Suppose 5*x - r = -s - 0*s, -x + 23 = 4*s. Suppose -3*t = 15, x*k + 4*t + 2 = -9. Solve n + 20 = -k*n for n.
-5
Suppose 0 = g - l - 1, -8 = 936*g - 940*g + 3*l. Let z = 4 - -4. Let h = z + -3. Solve -g = h*n - 20 for n.
3
Let n = -26 + 28. Let j(a) = 4*a**2 - a + 1. Let g be j(n). Solve 9*f = 4*f - g for f.
-3
Let c be (-20)/15*(-15)/10. Suppose 4*m + 0*i - 3*i + 1 = 0, c*m + 2*i = 10. Solve 2*t + m*t = 0 for t.
0
Let u = 606 + -600. Solve -4*l - 30 = u*l for l.
-3
Let g = -3 - 2. Let o(s) = -4*s**3 - s**2 + s. Let l be o(1). Let x = l - g. Solve -q - x - 1 = 0 for q.
-2
Let m(s) = -s**3 + 5*s**2 + 30*s - 34. Let a be m(8). Solve h - a = -11 for h.
3
Suppose -2*s = 4*y + 4, 4*y + 23 = 5*s - 9. Solve 0 = -s*i + 10 - 14 for i.
-1
Let b(l) = l**2 - 8*l + 8. Let w be b(8). Suppose w*s - 3*s = 0. Suppose 4*r - 2*r = s. Solve r = 5*o - 14 + 4 for o.
2
Let c(k) = -k**3 + 11*k**2 - 20*k + 19. Let q be c(9). Suppose -3*b - 3*t + q = -2, t = -2*b + 7. Solve b = 3*f - 5*f for f.
-3
Let w be (-3)/1 - (-56)/7. Suppose -5*x + 2 + 33 = w*v, -5*v = 0. Let l(y) = 2*y + 1. Let p be l(1). Solve -p*o - x - 2 = 0 for o.
-3
Let u be 2 + (-1 - 1) + (1 - -6). Suppose -d + a - u = -3*d, 5*d + 5*a = 20. Solve -g = -d*g for g.
0
Suppose -3*p + 25 = -8*p - 5*l, -25 = -5*p + 5*l. Suppose p = 2*s + 4*s - 12. Solve 13 + s = 3*v for v.
5
Suppose -r + 8 - 2 = -5*p, 4*p = -r + 6. Solve 3*w = 6*w - r for w.
2
Let w = 51 - 46. Suppose 29 = -4*s + w*s - 5*d, -17 = -3*s + d. Solve -s = -2*b + 2 for b.
3
Let v be 20 + (-3 - -1) - -2. Let t = 10 + -10. Let q(l) = -l. Let w be q(t). Solve -4*p + w*p - v = 0 for p.
-5
Suppose -2*g + 30 = -0*g. Suppose -3*i + s = -g, i + 0*i - 10 = 2*s. Suppose 0*m - 15 = -3*m. Solve m*h + 29 = i for h.
-5
Suppose 5*h = 2*y + 2, 0 = 3*h + 4*y - 8*y + 10. Solve h = -3*i - 4 for i.
-2
Let p(r) = r**3 + 6*r**2 + 5*r + 2. Let l be p(-4). Suppose -16 = -2*f + l. Let m be ((-66)/f - -4)*-30. Solve 0 = x - 5*x - m for x.
-3
Let m = -21 + 40. Suppose -2*g - 1 = -m. Suppose 11*i - 21*i = -50. Solve 0 = -i*z + g + 16 for z.
5
Suppose d + 39 = 2*k, 0 = -k - 0 + 4. Let i = 35 + d. Solve -11 + 31 = i*q for q.
5
Suppose 0 = -17*g + 1196 - 1077. Solve 23 = -g*f - 12 for f.
-5
Suppose 43 = 10*u - 37. Solve u*j - 9 = -1 for j.
1
Suppose 27*b = 8*b. Solve b = 5*d - 8 - 12 for d.
4
Let n(b) = 2*b**3 - 4*b**2 + 2*b + 1. Let f be n(2). Solve -1 - 4 = -f*j for j.
1
Suppose 0 = 3*c - 3 - 45. Suppose -5*z + 3*n - 4*n + c = 0, 0 = z + 4*n + 12. Solve 0*j = j - z for j.
4
Let a be (-30)/((-12)/2) - (0 + 4). Let o(n) = 3*n - 3. Let k be o(3). Suppose -k + a = -d. Solve -g = -d + 1 for g.
4
Let p(f) = f + 0*f + 0*f + 8 + 0*f. Let r be p(6). Suppose -7*w + 0*w = -r. Solve h = w*h for h.
0
Let b be -15*3/(9/(-2)). Let n = -3 + 12. Let j be 6 + n/(-3 - 0). Solve 1 - b = j*h for h.
-3
Suppose 0 = 9*u - u - 128. Solve -6*c = 2*c + u for c.
-2
Let d(c) = c - 12. Let l be d(15). Suppose -44 = -y - l*y. Let u = y + -8. Solve o = -u*o for o.
0
Suppose 6*f - 12 = -0*f. Solve -16 = -f*x - 10 for x.
3
Let k = 537 + -534. Solve -6 = u - k*u for u.
3
Let p be (4 - (-45)/(-12))/(3/60). Suppose 3*i = 6*i. Suppose 2*d - 32 = -2*s, d + 5*s + i*s - 4 = 0. Solve -p*h + d = 44 for h.
-5
Suppose -2*p + 12 = d, 7*d - 2*d + p - 15 = 0. Let k(t) = -t**3 + 2*t**2 + t + 3. Let z be k(d). Solve -5*h - 20 = -z for h.
-3
Suppose 1 = -5*s - 19, -3*s + 24 = 3*z. Let q be (64/z)/1*3. Suppose 4*b - 2*t = q, -5*b - 2*t + t = -20. Solve 3*o + b - 1 = 0 for o.
-1
Let y = 29 + -25. Suppose -3*t + 5*t = 6. Suppose -t*u = -3*z - 27, 4*u - 4*z + 3*z = 24. Solve -y*q = q - u for q.
1
Suppose -5*y + 179 = 2*i, 2*y - 111 = -y - 3*i. Let h = 41 - y. Solve v = h - 3 for v.
3
Let w = 2791 - 2777. Solve -51 = -w*c - 9 for c.
3
Let v be (1 + -1)/(0 + 1). Suppose -10*w - 18 = -58. Suppose -z + 14 = w*z + 2*s, v = 3*z - 3*s. Solve -z*f = f - 6 for f.
2
Let j(t) = -t**3 + 6*t**2 + 3*t + 33. Let x be j(7). Solve 0 = 6*r + x - 5 for r.
0
Let t = -46 + -69. Let a = -107 - t. Solve 0 = -4*k + a + 8 for k.
4
Let f be (290/40 + -8)*(-2 - 2). Solve -3 - f = -6*b for b.
1
Suppose 0 = -0*q + 5*q - 20. Let o be 8/((-72)/(-9)) - (0 + -5). Solve q*a + o = 22 for a.
4
Suppose 5*c + 1 = -147*f + 146*f, 3*f - 69 = 3*c. Solve 13*v + 6 - f = 0 for v.
1
Suppose -2*x + 2*h = -3*h + 2, 0 = 3*x - 2*h + 3. Let y be x*14/2*-1. Let p(d) = d**3 + 7*d**2 + 3*d + 23. Let w be p(-7). Solve y*c = w*c for c.
0
Suppose 11*s - 274 = -175. Solve 9*y + 0 = s for y.
1
Suppose -2*r - 5 = -11, -3*r = -4*l + 71. Solve -l*h = -16*h - 16 for h.
4
Let k(t) be the third derivative of t**6/120 + t**5/10 - t**4/24 - 3*t**3/2 - 2*t**2. Let q be k(-4). Let c = q - 23. Solve -c = 2*i - 3*i for i.
4
Let o be (-2 - -4) + (0 - 1). Suppose 57 = 22*c + 6*c - 83. Solve -4 - o = c*i for i.
-1
Suppose 4*h - 8 + 27 = g, -4*g = 5*h + 8. Solve 0 = 2*o - g + 5 for o.
-1
Suppose -3*u - 5 + 14 = 0. Let x(b) = -3*b - 4. Let m be x(-2). Let t = 7 + m. Solve u - t = 3*v for v.
-2
Let y = 105 + -102. Suppose -y*c - 4 = -13. Solve 2*x + c*x - 25 = 0 for x.
5
Let m(a) = 4*a + 24. Let p be m(-14). Let o be ((-2)/(-1))/(4/p*-4). Solve -o*x + 1 = -7 for x.
2
Let i(b) = -b + 5. Let u = -1 - 17. Let w be 4/10 - u/(-45). Let l be i(w). Solve -7*o = -2*o + l for o.
-1
Let y = -36 - -32. Let g be (y/3)/(1 - (-16)/(-12)). Solve -g*s - s + 5 = 0 for s.
1
Let s(p) = -p**3 - 2*p**2 + 1. Suppose 14*i = 11*i - 3. Let y be s(i). Solve 5*o - 2 - 3 = y for o.
1
Let o be 378/77 + -5 + (-46)/(-22). Let y = 0 + 0. Suppose -r + 4 + 2 = y. Solve -o = -v - r for v.
-4
Suppose -2*y - 128 = -6*y - 4*f, -5*y + 3*f + 184 = 0. Solve -k = 6*k + y for k.
-5
Let u be (2/(-7))/(-1) + (-942)/14. Let f = 77 + u. Solve 2*n - 4*n = f for n.
-5
Let z be 6/(-150)*5 + (-16)/(-5). Solve 3*o = -0*o + z for o.
1
Let u be -4 + (-340)/(-90) + 2/9. Solve -w - w + 8 = u for w.
4
Let d be 6 - (-2 + 3 + (-4)/2). Solve 6*g = d*g for g.
0
Suppose 3*s = -3*k - 15, 0 = -5*s + 2*k + 14 - 4. Solve s = j + j for j.
0
Let g be (2 - 14/5)*-5. Let c = -42 - -53. Suppose c*x - 8*x - 9 = 0. Solve 0 = g*t - x*t - 4 for t.
4
Let b = 29 - 28. Solve 2*x - b = -11 for x.
-5
Let m(i) = 8*i**2 - 9*i + 8. Let p(w) = -w + 1. Suppose -5 + 1 = -4*s, 23 = -3*a + 5*s. Let h(n) = a*p(n) + m(n). Let q be h(1). Solve -3 = -5*g + q for g.
2
Let d(c) = 18*c - 6. Let x be d(-2). Let g be (12/x)/(1/(-7)). Solve 0 = o - 0*o - g for o.
2
Let z(a) = 2*a - 4. Suppose -2*i = 63 - 71. Let b be z(i). Solve -5*d - b = -14 for d.
2
Let p(v) = v**2 + 3*v + 2. Let b be p(-2). Let f be 2 - (-4 + 1)/(-1). Let i be f + (-2 - 1)/(-3). Solve 3*j + b*j = i for j.
0
Let r = -7 + 10. Suppose 126 = 9*t + 9*t. Suppose f = -r + t. Solve -f*i - i = 0 for i.
0
Let h = 37 - 43. Let q(y) = -y**2 - 7*y - 6. Let x be q(h). Solve 0 = -x*t + 2*t - 10 for t.
5
Let o be 14/3 - 8/12. Suppose -2*t = -3*t - 3. Let z be (t/4)/(9/(-108)). Solve 20 = o*g - z*g for g.
-4
Suppose m - 6 - 2 = -d, -4*d = -12. Solve 0 = m*z - 8*z + 9 for z.
3
Let j = -24 + 22. Let c be (-3 + -4)*((-52)/14 - j). Solve -2*x - c = -5*x for x.
4
Let z(m) = -2*m - 3*m - 73 + 66. Let v be z(-2). Suppose v*r - 4 = r. Solve 3*i + 20 = -r*i for i.
-4
Let p(j) = -j**3 - 4*j**2 - 3*j + 2. Let c be (6/5)/((-16)/40). Let h be p(c). Solve -4*l + h*l = 0 for l.
0
Let w(x) = -x**3 - 3*x**2 - 3*x - 6. Suppose -3*q + 0*q = i + 13, 2*q + 3*i = -18. Let j be w(q). Solve -15 = j*f - 8*f for f.
3
Suppose 4*v - a + 3*a + 12 = 0, v = -5*a + 6. Let h be (v/(-7))/((-12)/(-42)). Solve -h + 7 = -p for p.
-5
Let u be ((-3)/15)/((-7)/105). Solve -u*r - 2*r = 0 for r.
0
Let c = 545 + -527. Solve c*f + 9 = 15*f for f.
-3
Let z be (966/207)/((-4)/(-6)). Solve z*g = 10*g for g.
0
Let i be 43/(1/(-4 + 3)). Let x = i + 44. Solve -t = -x - 0 for t.
1
Let k(i) = -i. Let h(s) = 3*s. Let z(l) = -2*h(l) - 5*k(l). Let p(r) = r**2 - 1. Let b be p(-1). Let y be z(b). Solve y = -q - 3*q - 12 for q.
-3
Suppose 5*u = -3*d + 8, -4*u - 3* | {
"pile_set_name": "DM Mathematics"
} |
ing o is positive.
o**(-9)
Simplify (q**12*(q/((q/(q/(q**(-2/7)*q))*q)/q))/q)/(q**(2/11))**(-43) assuming q is positive.
q**(1471/77)
Simplify (a**(2/27)*a/a**12)/(a**(-3)/a)**(-12/13) assuming a is positive.
a**(-5131/351)
Simplify ((t*(t**(-2/121)*t)/t)/t*t*t**(1/23))/(t**(-4/11))**(-41) assuming t is positive.
t**(-38634/2783)
Simplify (p**(1/4))**(18/11)/(((p**0/p)/p)/(p*p**11*p*p)) assuming p is positive.
p**(361/22)
Simplify n*n**(3/2)/n*n**(7/4)*(n**5/n)/n*n**(-1/7)/n assuming n is positive.
n**(143/28)
Simplify (p**0)**33*p**(-5)*p**(-2) assuming p is positive.
p**(-7)
Simplify (j*j/(j*j/j**(-6/7))*(j**(-21)/j*j)/j)/(j**3/j**(-6)) assuming j is positive.
j**(-223/7)
Simplify ((i*i**5)/i*i*i**(-8))/(i*((i/(i/i**(-2/3)*i*i))/i)/i)**(-37) assuming i is positive.
i**(-413/3)
Simplify (((f**(-20))**29)**(-5/7))**(-14) assuming f is positive.
f**(-5800)
Simplify (((d**2)**(-25))**48)**(-43) assuming d is positive.
d**103200
Simplify (w**(-32)/(w**9*w*w*w))/(w**(2/19)*w*w**(1/5)/w) assuming w is positive.
w**(-4209/95)
Simplify (((i*i/i**(-2/7)*i)**4)**(2/13))**(-13/3) assuming i is positive.
i**(-184/21)
Simplify (((s**0)**(-4/5))**(-2/33))**(1/21) assuming s is positive.
1
Simplify c*c*c/(c**(1/6)/c)*c**(-22)*(c*c**(-2/45))/(c**(-9)*c) assuming c is positive.
c**(-829/90)
Simplify (((c*c**(-14))**(-39))**(34/3))**(4/13) assuming c is positive.
c**1768
Simplify (v**1*v**(-3/5)/v*(v/v**(-10)*v)/v**(-1/5))**(-19) assuming v is positive.
v**(-1102/5)
Simplify x**7*x**11*x**4/x*((x*x/(x*(x**10*x)/x))/x)/x assuming x is positive.
x**10
Simplify (((t*t**3/t)/(t/((t*t/(t/(t/t**13)))/t*t)))**(-16))**46 assuming t is positive.
t**6624
Simplify v**(-11)*v*v*v**(2/19)*v*v*(v/(v*v/(v/(v*v**(-4)))))**(-46) assuming v is positive.
v**(-2753/19)
Simplify ((b**(-1/8)/(b*b**6/b))**(6/11))**(2/23) assuming b is positive.
b**(-147/506)
Simplify (m**(1/3)*m*m**(-2/9))/(m**2/(m/(m*m**6))) assuming m is positive.
m**(-62/9)
Simplify (x**(-16/3)*x**(2/15))/(x**(2/67)/x**31) assuming x is positive.
x**(8633/335)
Simplify (v/(v/v**(5/7))*v*v)/v*v**(1/4)*v**(1/9)/(v/(v*v*v*v/((v*(v*v**4/v*v*v)/v)/v*v))*v) assuming v is positive.
v**(-485/252)
Simplify i**(-3)*i**(2/5)*i**(4/5)/(i**(-8)*i) assuming i is positive.
i**(26/5)
Simplify ((i**(-3/17)/i*i)/(i/i**(1/4)))/((i/((i/i**(-1/3))/i))/i)**1 assuming i is positive.
i**(-121/204)
Simplify ((n/(n**(-2/5)*n)*n**(-4))/((n*n**(-5/2)*n)/n**(-1)))**(-15) assuming n is positive.
n**(123/2)
Simplify b**(-2/11)*b/b**(2/85)*(b*b*b**(3/7)*b*b)**(-33) assuming b is positive.
b**(-951304/6545)
Simplify ((u**(-4)*u**1/u)/(u/(u/(u**1*u)))**(-49))**(-9) assuming u is positive.
u**(-846)
Simplify ((m*(m**(-7)/m)/m*m)**(-2/21))**(4/15) assuming m is positive.
m**(8/45)
Simplify ((v/v**(-8)*(v/(v/(v**(1/13)*v))*v)/v)**(-2/89))**(14/3) assuming v is positive.
v**(-3668/3471)
Simplify (i*i**(-9))/i**(3/10)*i**(-1/10)*(i**(-4/13)*i)/i*i assuming i is positive.
i**(-501/65)
Simplify r**(2/7)/(r/(((r*r**(5/6))/r)/r))*r*r**(-3/4)/r*r*r*r/(r**(4/5)*r) assuming r is positive.
r**(-181/420)
Simplify (l**(-1/13)*l**11)/((l*l*l*l**(-1/15))/l*l*l**4) assuming l is positive.
l**(778/195)
Simplify (m*m**(-13))/m**(-1/4)*m**(3/2)*m*m**(1/9) assuming m is positive.
m**(-329/36)
Simplify (l*l/(l**5*l)*l)**36*((l/l**16)/l)/l**3 assuming l is positive.
l**(-127)
Simplify (r/r**3)**34/(r**4)**21 assuming r is positive.
r**(-152)
Simplify ((v**(-15)/v)/(v*v**(1/3)*v))**(-1) assuming v is positive.
v**(55/3)
Simplify ((w/(w/w**(-32)))/(w/(w**(-3/20)*w)))**(-2) assuming w is positive.
w**(643/10)
Simplify ((n*n*n/(n**(-7/4)/n))/n)/(n**(-2/21)*n)*n**(-3/4)/(n**(2/25)*n) assuming n is positive.
n**(1058/525)
Simplify (r*r**23/r*r**(-41)/r)**38 assuming r is positive.
r**(-722)
Simplify ((z/(z**13/z))/(z**(-13)/z))/(z**(-10/7)*z**4/z) assuming z is positive.
z**(10/7)
Simplify (x**(1/10))**(-30)*x**(-7)/((x**(-4)*x)/x) assuming x is positive.
x**(-6)
Simplify (w**(2/5)*w*w)**(-33)/(w**9/w**(-1/4)) assuming w is positive.
w**(-1769/20)
Simplify ((j/j**(-3/2))/j*j*j**(-8)*j*j/(j*j**(-1/10))*(j*j/(j**(2/13)*j))/j)**(1/7) assuming j is positive.
j**(-296/455)
Simplify ((((p*p**(-4/15))/p*p)/p)/p**(-16/3))**(-1/12) assuming p is positive.
p**(-19/45)
Simplify (h*h*h**(2/13)*h**(-2/13)*((h**(-1)*h)/h)**(-17/3))**39 assuming h is positive.
h**299
Simplify (((i*i*i*i**(2/9))**(1/15))**50)**(-3/10) assuming i is positive.
i**(-29/9)
Simplify (z**6/z)**(-33)/(z**(-4/3))**(1/4) assuming z is positive.
z**(-494/3)
Simplify m*m**(-3/19)*m*m**(-7)*m**(-1/8)/((m/(m*m**(-2/11)/m)*m)/m) assuming m is positive.
m**(-10809/1672)
Simplify ((l*l*l**(2/5)/l*l)/(l*l**(-3/2)/l))/(l**(-4)*l**8) assuming l is positive.
l**(-1/10)
Simplify ((h*h/h**(8/9))**(-6/31))**(6/11) assuming h is positive.
h**(-40/341)
Simplify (((n*n**(-1/10)*n)/n**(-1))**(8/7))**(-43) assuming n is positive.
n**(-4988/35)
Simplify v/(v**(-30)*v*v)*v*v**(-5/6)*(v**(4/3)/v)**(12/11) assuming v is positive.
v**(1949/66)
Simplify (j**(-6/17)*j)**(2/63)/((j**(-25)*j)/j*j**25*j) assuming j is positive.
j**(-1049/1071)
Simplify (((i*i/i**(7/5))/i**(-6))/(i**(-2)/i*i**(6/7)))**(9/5) assuming i is positive.
i**(2754/175)
Simplify (b**(2/55)/((b/(b**24/b))/b))**(-1/2) assuming b is positive.
b**(-1267/110)
Simplify b*(b**(3/2)*b)/b*b/b**(7/2)*(b*b/((b*b**(-25)*b)/b)*b)/(b/(b*((b*b/b**(-13)*b)/b)/b)) assuming b is positive.
b**41
Simplify (u/(u*u/(u*u**1)))**(-28)*(u**(-9/2)/u)/u**0 assuming u is positive.
u**(-67/2)
Simplify (m**(-5)/m**(2/19)*(m**(-3))**(8/9))**(-34) assuming m is positive.
m**(15062/57)
Simplify (b/b**(-2/9))**50*(b*b*b**(1/4))**(-3/10) assuming b is positive.
b**(21757/360)
Simplify ((q/q**15)/(q/(q/(q*q/(q**7*q)))))/(q**13/q**(1/2)) assuming q is positive.
q**(-41/2)
Simplify (a*a/(a*a**4/a*a))**(-15/2)/(a**(5/3)*a*(a**0*a)/a*a) assuming a is positive.
a**(113/6)
Simplify (t*t/(t*t*t**16/t*t)*t/((t*t/(t*t/(t/(t*t**(-1/3)))*t))/t))/((t*t*t/(t*t**(-4)))/((t**(26/7)*t)/t)) assuming t is positive.
t**(-328/21)
Simplify (d*d*(d/(d*d**(2/3)))/d)**(7/5)*d*(d**1/d)/d*d*d*(d/(d**(-2)/d))/d assuming d is positive.
d**(82/15)
Simplify (s**6)**(-20/13)/(s**4)**(-45) assuming s is positive.
s**(2220/13)
Simplify (q*(q**(-4)/q)/q)**(1/11)/((q*q**(-2))/(q*q**12*q*q)) assuming q is positive.
q**(171/11)
Simplify (((x/(x*x**(-4)*x))**(1/65))**(-6/13))**(-5/6) assuming x is positive.
x**(3/169)
Simplify (o**(-1/9))**(4/13)/(o/o**(2/45))**(-12) assuming o is positive.
o**(6688/585)
Simplify (w**3*w**(-1/22)*w)/(w**1/(w**(1/5)*w)) assuming w is positive.
w**(457/110)
Simplify (s**(-2))**(-24/7)/(s**6)**(-48) assuming s is positive.
s**(2064/7)
Simplify (((k/((k*k/(k/(((k*k**5)/k*k)/k)))/k))**(-29))**12)**(3/20) assuming k is positive.
k**(1044/5)
Simplify (((r**(-3/5)*r)/r)/r)/r*r**(2/21)*(r/(r**(-2/9)*r*r))**(-42) assuming r is positive.
r**(3167/105)
Simplify ((v**(-1/25)*v)**4)**11 assuming v is positive.
v**(1056/25)
Simplify v*v**25*v/((v/(v/((v*v**(11/6)/v)/v)))/v)*(v*v**(-2/9)*v)/v*v**(-12/7) assuming v is positive.
v**(3305/126)
Simplify v**(-28)/(v**(-16)/v)*((v*v*v*v**(-17)*v)/v)**29 assuming v is positive.
v**(-417)
Simplify (l**(1/35))**29*l*l*((l*l*l**(-5/3))/l)/l*l*l**30 assuming l is positive.
l**(3377/105)
Simplify (h**(1/27)*h)/(h*h/(((h*h*h/h**(-9)*h*h*h*h)/h)/h*h))*h**10*h*((h*h/(h**(-7/3)/h)*h*h)/h)/h assuming h is positive.
h**(820/27)
Simplify (j/((j/(j*j**(-3)*j))/j)*j)**(-23)/(j**(1/10)*j**(-2/35)/j*j) assuming j is positive.
j**(-1613/70)
Simplify (m**8/((m/(m/m**(-2/5)))/m))/((m/(m/(m*m**(-16))))/((m/(m*m**5)*m)/m)) assuming m is positive.
m**(97/5)
Simplify ((l*l**22)/l**(-19/2))/(l/l**17*l*l**3*l) assuming l is positive.
l**(87/2)
Simplify ((n**(6/5)/n)/n**(1/32))/((n/n**5)/n*n**(-8/7)/n) assuming n is positive.
n**(8189/1120)
Simplify (x*x**(3/5)*x/(x/(x/(x/(x*x*(x/(x/(x/(x*x*x**(2/3)*x*x*x*x*x))))/x))*x*x)))/((x/(x*x**(-3/7)))/x**4) assuming x is positive.
x**(158/105)
Simplify ((f**(-13/2)/(f**(-1/26)*f))**(-2/13))**46 assuming f is positive.
f**(8924/169)
Simplify v*v/v**(7/2)*v*v*v/v**(2/29)*v*v**35*v/v**20*v*v assuming v is positive.
v**(1185/58)
Simplify ((c**(-11)/c)/c**10)/(c**0)**(-4/9) assuming c is positive.
c**(-22)
Simplify (((j/(j*((j/j**(-3/2))/j)/j))/(j/j**8))**50)**(2/7) a | {
"pile_set_name": "DM Mathematics"
} |
ve of 0*d - 3/2*d**o - 6 + 1/2*d**3. What is c in j(c) = 0?
0, 2
Let p(s) be the first derivative of -s**7/630 + 13*s**6/270 - 2*s**5/15 + s**3 - 56. Let y(h) be the third derivative of p(h). Find o such that y(o) = 0.
0, 1, 12
Let u = 452/27 + -224/27. Let b = -137/18 + u. Factor -5/6 - 5/6*s**4 - 5/6*s**5 + 5/3*s**3 + 5/3*s**2 - b*s.
-5*(s - 1)**2*(s + 1)**3/6
Suppose 0 = 4*s + 2*g - 44, 4*s - 6*s + 22 = 2*g. Suppose 17 = 14*k - s. Factor -26*o**k + 45*o**2 - 17*o**2 - 2.
2*(o - 1)*(o + 1)
Let f(k) be the second derivative of -k**2 + 1/36*k**4 + 0 + 132*k + 1/18*k**3. Let f(t) = 0. What is t?
-3, 2
Let q = -64 - -68. Find t such that 4 + q - 25*t - 4*t**2 + 13*t + 8*t = 0.
-2, 1
Factor 3/8*s**3 + 0 - 99/8*s**2 + 105/2*s.
3*s*(s - 28)*(s - 5)/8
Let b(z) be the second derivative of 39/2*z**2 + 0 + 9/10*z**6 + 37/2*z**4 - 114*z - 1/14*z**7 + 69/10*z**5 + 51/2*z**3. Determine h so that b(h) = 0.
-1, 13
Suppose 444*y + 342*y + y - 3148 = 0. Factor 0 - 49/3*q**5 + 0*q - 91*q**y - 20/3*q**2 - 48*q**3.
-q**2*(q + 5)*(7*q + 2)**2/3
Let q = -10 - -150. Find f such that 200*f - 4*f**4 - q*f + 54*f**2 + 24 + 21*f**3 + 7*f**4 = 0.
-2, -1
Let w = -64 + 82. Let q = w + -15. Let p(a) = -5*a**2 - 8*a - 9. Let g(m) = 9*m**2 + 16*m + 17. Let j(z) = q*g(z) + 5*p(z). Solve j(h) = 0.
-3, -1
Let f(s) = 838*s + 21790. Let p be f(-26). Factor -p + 1/4*c**3 + 17/4*c - 5/2*c**2.
(c - 8)*(c - 1)**2/4
Let s(n) = n**3 + 20*n**2 - 53*n + 56. Let x be s(-23). Let r be (-1*4/21)/(x/364). Factor 0 + 2/9*i**5 + 0*i**4 + 0*i**2 - 4/9*i**3 + r*i.
2*i*(i - 1)**2*(i + 1)**2/9
Let r(f) be the first derivative of 0*f - 73 + 0*f**2 - 6/5*f**5 - 25/8*f**3 + 15/4*f**4. Find g such that r(g) = 0.
0, 5/4
Let f(b) be the third derivative of b**8/13440 + 3*b**7/2240 + 7*b**6/1440 + 25*b**3/3 + 14*b**2 + b. Let o(r) be the first derivative of f(r). Factor o(c).
c**2*(c + 2)*(c + 7)/8
Suppose 41*n - 35*n = 6210. Let a = 5179/5 - n. Factor -12/5*f**3 - a*f**5 + 36/5*f**2 + 0*f - 4*f**4 + 0.
-4*f**2*(f - 1)*(f + 3)**2/5
Let f(t) be the second derivative of t**6/20 + 3*t**5/40 - 11*t**4/4 - 10*t**3 - 785*t. Factor f(w).
3*w*(w - 5)*(w + 2)*(w + 4)/2
Let d be (-18 + 29 - 19)*(-5)/(-6)*-7. Determine u so that -80/3 - d*u + 100/3*u**2 + 55*u**3 - 15*u**4 = 0.
-2/3, 1, 4
Suppose -5*h - 5 = 3*u, 86 = -4*u - 2*h + 84. Let s(j) be the third derivative of 1/30*j**5 + 3*j**2 + 0*j**3 + 0*j**4 + u + 0*j. Let s(c) = 0. What is c?
0
Factor -2310*x**3 + 301137536 - 2319*x**3 + 3192*x**2 - 1698144*x + 4627*x**3.
-2*(x - 532)**3
Let p(b) = 6*b + 16. Let z be p(0). Let y(n) be the second derivative of z*n + 1/16*n**4 + 0 - 1/4*n**3 + 3/8*n**2. Factor y(j).
3*(j - 1)**2/4
Let l(o) be the second derivative of -o**4/84 - 32*o**3/21 + 40*o + 2. Let l(b) = 0. Calculate b.
-64, 0
Let g(q) = q**3 - 32*q**2 + 7. Let i be g(32). Let h = 4 + -2. Suppose 8*n**3 - 8*n**4 - 3*n**2 + i*n**2 + 4*n**4 - 8*n**h = 0. Calculate n.
0, 1
Let c(b) be the first derivative of -b**7/2310 + b**6/660 - b**5/660 - 39*b**2/2 + 2. Let y(m) be the second derivative of c(m). Suppose y(u) = 0. Calculate u.
0, 1
Let r(k) be the second derivative of -3*k**5/80 + k**4 + 217*k**3/8 + 75*k**2 - 3793*k. Factor r(n).
-3*(n - 25)*(n + 1)*(n + 8)/4
Let c(v) be the third derivative of -v**6/200 + v**5/25 + 3*v**4/40 - 9*v**3/5 + 1845*v**2 - 2. Factor c(k).
-3*(k - 3)**2*(k + 2)/5
Let o = 401933/4 - 2009233/20. Let -36/5*i + o + 3/5*i**2 = 0. What is i?
6
Factor 667*p + 293*p - 2127 + 735 + 5*p**2 - 548 + 0*p**2.
5*(p - 2)*(p + 194)
Factor -568*g**2 - 180*g + 376 + 19*g**3 - 542*g**3 + 511*g**3.
-4*(g + 1)*(g + 47)*(3*g - 2)
Let t be (7 + -8)*(-2 + (-6)/(-3)). Suppose 0 + 21 = 5*m + 4*i, -3*i - 3 = t. Factor 4*x - 16*x**5 - 5*x**4 + 21*x**m - 10*x**3 - 4*x.
5*x**3*(x - 2)*(x + 1)
Let u(c) = 30*c + 270. Let s be u(-9). Suppose 9*r - 1113 + 1095 = s. Factor -4/7*l + 0 - 4/7*l**r.
-4*l*(l + 1)/7
Let d(i) = -2*i**3 + 11*i**2 + 33*i - 8. Let v be d(8). Let k = v + 64. Find y, given that k*y**3 - 1/6*y + 1/6*y**5 - 1/3*y**2 + 1/3*y**4 + 0 = 0.
-1, 0, 1
Let j(o) = -8*o**3 + 37*o**2 - 6. Let r = 59 + -33. Let c(n) = 2*n**3 - 9*n**2 + 2. Let p(q) = r*c(q) + 6*j(q). Factor p(l).
4*(l - 2)**2*(l + 1)
Let g(n) be the third derivative of 13 + 0*n + 8/3*n**3 - 7/12*n**4 - 8*n**2 - 1/30*n**5. Solve g(k) = 0 for k.
-8, 1
Suppose 0 - 38/7*c**2 - 30/7*c**3 + 2/7*c**5 + 6/7*c**4 + 60/7*c = 0. Calculate c.
-5, -2, 0, 1, 3
Let w be (5/4)/(67/(2680/25)). Factor -265302/7 - 2/7*f**3 - 306/7*f**w - 15606/7*f.
-2*(f + 51)**3/7
Let r(z) = z**3 - 10*z**2 - 9*z - 11. Let t be 1/(3*2/66). Let s be r(t). Let 30*f**3 + 14*f**4 + 16*f**2 - 32 + 2*f**3 - s*f + 2*f**5 - 21*f = 0. What is f?
-2, 1
Let q(z) be the third derivative of -40/3*z**3 + 1/24*z**6 - 5/24*z**4 + 4/3*z**5 + 0*z + 49*z**2 + 0. Solve q(h) = 0.
-16, -1, 1
Factor -12*c**3 - 32*c**3 - 21420*c**2 - 288 - c**3 - 2*c**4 - 480*c - c**4 + 21186*c**2.
-3*(c + 1)*(c + 4)**2*(c + 6)
Let o(m) be the first derivative of m**4/2 + 160*m**3/3 + 453*m**2 + 1332*m + 346. Factor o(u).
2*(u + 3)**2*(u + 74)
Let m(z) = -z**2 - 16*z + 26. Let l be m(-17). Let f be 8/l + -1 + 456/216. Factor 0 + 3/5*r**f - 3/5*r.
3*r*(r - 1)/5
Let h(r) be the first derivative of 21*r**3 - 439*r**2/2 - 128*r - 36. Let g(z) = -31*z**2 + 219*z + 64. Let d(x) = -7*g(x) - 3*h(x). Let d(q) = 0. Calculate q.
-2/7, 8
Suppose 0 = s - 2*t + 4, -t = -5*s + 4*t. Suppose 0 = -5*v + 4 - 14, s = -w - 3*v. Let 4374/11 - 6/11*o**3 + 162/11*o**w - 1458/11*o = 0. What is o?
9
Find d such that 311/3 - 1/3*d**2 + 310/3*d = 0.
-1, 311
Let s be (4 + 63/(-18))*8. Let v(q) be the second derivative of 16*q + 0*q**3 + 0*q**2 + 0 - 1/54*q**s. Factor v(y).
-2*y**2/9
Factor 1183*m**2 - 622*m - 6*m**5 + 67 - 652*m**3 - 235*m**2 + 32 + 178*m**4 + 31 + 24.
-2*(m - 1)**4*(3*m - 77)
Let w(t) = 2*t**4 - 47*t**3 - 42*t**2 + 112*t - 85. Let k(f) = 3*f**4 - 47*f**3 - 55*f**2 + 113*f - 86. Let j(i) = -5*k(i) + 6*w(i). Factor j(x).
-(x - 1)**2*(x + 16)*(3*x + 5)
Let y(w) be the second derivative of -1/2*w**4 + w + 0*w**3 + 10 + 9/20*w**5 + 0*w**2 - 1/10*w**6. Suppose y(r) = 0. What is r?
0, 1, 2
Suppose 2*k - 3*n = 28, -60 = -8*k + 2*k + 3*n. Let g(d) be the first derivative of -108*d**2 + k + 12*d**3 - 1/2*d**4 + 432*d. Suppose g(u) = 0. Calculate u.
6
Let v = 2/1795 - -628/80775. Let o = v + 98/225. Factor -2/3*w**3 + 10/9*w**2 + 0 + 2/9*w**5 - 2/9*w**4 - o*w.
2*w*(w - 1)**3*(w + 2)/9
Factor 1740 - 4*g**4 - 2505 + 964*g**2 + 1485 + 1564*g + 116*g**3.
-4*(g - 36)*(g + 1)**2*(g + 5)
Let l(h) be the third derivative of -h**7/350 + 3*h**6/100 + 3*h**5/100 - 2*h**4/5 - 6*h**3/5 - 64*h**2 + 1. Let l(c) = 0. What is c?
-1, 2, 6
Let v be (-86)/((-4 - 1) + 3). Let c = -39 + v. Suppose -2*b**2 + 4*b - 12 + 2*b**2 - 4*b**3 + 8*b**2 + c*b**2 = 0. Calculate b.
-1, 1, 3
Let r(d) = -2*d**3 + 90*d**2 + 378*d + 302. Let z = -24 - -19. Let v(f) = f**3 - 60*f**2 - 252*f - 201. Let n(j) = z*r(j) - 8*v(j). Factor n(w).
2*(w + 1)*(w + 7)**2
Suppose -11*q + 6 = -9*q. Suppose -p = -q*p + 4. Find b such that -4*b**2 - 6*b**2 + 12*b**p - 2*b**3 = 0.
0, 1
Let u = 329250 + -658493/2. Find v such that u*v + 1/2*v**2 + 6 = 0.
-4, -3
Solve 20/3*s**3 + 6*s**2 - 104/3*s + 64/3 + 2/3*s**4 = 0.
-8, -4, 1
Let s be 746/115 - (-992)/(-11408). Determine b, given that 0 + 1/5*b**4 - 6/5*b**3 + s*b + 0*b**2 = 0.
-2, 0, 4
Let i(f) = -13*f**2 + 34*f + 131. Let o(k) = 2*k - 1. Let w(u) = -2*u**2 - u. Let b(y) = -o(y) - w(y). Let a(l) = -4*b(l) - i(l). Let a(j) = 0. Calculate j.
-3, 9
Let j = 0 - -7. Factor -4*d**2 - d**2 + j*d**2 + 10*d + 8*d.
2*d*(d + 9)
Determine k, given that 0*k**3 - 3349*k - 3*k**3 + 571 + 1104 + 4*k**3 + 0*k**3 + 1673*k**2 = 0.
-1675, 1
Let v be 72/720 + ((-518)/(-20) - -2). Let a be (-1422)/(-237) + v/(-5). Factor 1/5*o**4 - a*o**2 + 1/5*o**5 + 1/5*o + 1/5 - 2/5*o**3.
(o - 1)**2*(o + 1)**3/5
Let v(p) be the third derivative of p**7/70 - 9*p**6/20 + 87*p**5/20 - 19*p**4/4 - 72*p**3 + 331*p**2. Solve v(x) = 0.
-1, 2, 8, 9
Factor -549/7*m**2 - 2916/7 + 6*m**3 + 324*m - 1/7*m**4.
-(m - 18)**2*(m - 3)**2/7
Find c, given that 0 + 8/5*c**3 - 10*c**2 - 56/5*c + 2/5*c**4 = 0.
-7, -1, 0, 4
Let l(q) be the third derivative of q**8/168 - 2*q**7/21 + 23*q**6/60 - 7*q**5/15 + 206*q**2. What is z in l(z) = 0?
0, 1, 2, 7
Le | {
"pile_set_name": "DM Mathematics"
} |
2500*r/7 - 5875000/7 = 0 for r.
-25/2, 94/7
Factor -2*m**2/7 + 102768556*m/7 - 1320172012790642/7.
-2*(m - 25692139)**2/7
Let -v**4/2 + 149*v**3/2 - 3034*v**2 + 22160*v - 19200 = 0. Calculate v.
1, 8, 60, 80
Factor 5*s**4 + 2315*s**3 + 84395*s**2 - 86715*s.
5*s*(s - 1)*(s + 41)*(s + 423)
Determine o, given that 2*o**3 - 119252*o**2/3 - 10130758*o + 3381336 = 0.
-252, 1/3, 20127
Suppose 3*r**5 + 206613*r**4 + 3555654213*r**3 - 60499439397*r**2 + 110331089688*r - 53387511120 = 0. What is r?
-34444, 1, 15
Solve -20*d**3/3 + 61958*d**2/3 + 192256*d/3 + 6202 = 0.
-3, -1/10, 3101
Factor 5*n**2/3 + 3067912900*n/3 + 470604478099320500/3.
5*(n + 306791290)**2/3
Solve g**4/3 + 1486*g**3/3 - 13617*g**2 = 0 for g.
-1513, 0, 27
Factor 5*j**2 - 11101150*j - 11101155.
5*(j - 2220231)*(j + 1)
Let 60*m**3 + 66664*m**2 + 71044*m + 4440 = 0. What is m?
-1110, -1, -1/15
Determine s so that -s**4/3 + 14*s**3 + 627*s**2 + 13118*s/3 - 11360 = 0.
-16, -15, 2, 71
Factor -3*x**2 - 51600414*x + 206401704.
-3*(x - 4)*(x + 17200142)
Determine u so that u**4 + 19476*u**3 - 97418*u**2 - 253260*u - 136367 = 0.
-19481, -1, 7
Find l, given that 3*l**2/2 - 11283*l/2 + 134532 = 0.
24, 3737
Find n, given that -n**4 - 28568*n**3 - 204289462*n**2 - 3666162600*n + 12837864375 = 0.
-14275, -21, 3
Solve k**3/4 - 3745*k**2/4 - 174113*k/4 - 1034943/4 = 0 for k.
-39, -7, 3791
Determine o, given that 4*o**2/5 - 55592*o/5 + 5573988/5 = 0.
101, 13797
Factor 62*m**2 - 633032*m + 122520.
2*(m - 10210)*(31*m - 6)
Let f**5/3 - 42*f**4 + 1805*f**3/3 + 4960*f**2 + 4848*f - 10368 = 0. Calculate f.
-4, -3, 1, 24, 108
Determine i, given that -7*i**3/4 - 468941*i**2/2 - 31381840319*i/4 + 557084722396 = 0.
-67027, 496/7
Factor -3*t**2/2 + 1115727498*t - 207474641632223334.
-3*(t - 371909166)**2/2
Determine f so that 12800*f**5/7 + 4185280*f**4/7 + 10296366*f**3 + 302746574*f**2/7 - 7602482*f/7 + 6798 = 0.
-309, -11, -7, 1/80
Find h, given that h**2/5 + 9418*h/5 + 1608456/5 = 0.
-9244, -174
Let -876*s**2 + 3689*s/2 - 185 = 0. Calculate s.
185/1752, 2
Factor p**4/8 + 3223*p**3/8 + 2676345*p**2/8 + 860624725*p/8 + 48273246125/4.
(p + 355)**3*(p + 2158)/8
Determine i, given that -5*i**3 + 4217200*i**2 - 889323130000*i + 35566178000000 = 0.
40, 421700
Factor 4*f**5 + 156068168*f**4 + 1522329566429764*f**3.
4*f**3*(f + 19508521)**2
Solve 2636*w**2/3 - 27724*w/3 + 25088/3 = 0 for w.
1, 6272/659
Solve -3*w**5 + 1941*w**4 + 554727*w**3 + 1091919*w**2 - 2765772*w - 3304908 = 0.
-213, -3, -1, 2, 862
Let u**3/6 - 16231*u**2/6 + 137789*u/3 + 162140 = 0. Calculate u.
-3, 20, 16214
Find q such that -3*q**2/2 + 150300*q + 12329643/2 = 0.
-41, 100241
Suppose 4*z**5/7 + 132204*z**4/7 + 1717972*z**3/7 - 132204*z**2/7 - 1717976*z/7 = 0. Calculate z.
-33038, -13, -1, 0, 1
Let -r**5/6 + 1132*r**4/3 - 23486*r**3/3 - 146927*r**2/3 + 46973*r/6 + 145795/3 = 0. Calculate r.
-5, -1, 1, 26, 2243
Suppose f**5/3 + 122*f**4/3 - 131390*f**3/3 + 13532788*f**2/3 + 27460229*f/3 + 13795930/3 = 0. What is f?
-466, -1, 155, 191
What is k in -k**5/7 + 2565*k**4/7 + 15453*k**3/7 - 69417*k**2/7 = 0?
-9, 0, 3, 2571
Let -5*s**5/3 - 287*s**4/3 - 1268*s**3 - 4320*s**2 = 0. Calculate s.
-40, -12, -27/5, 0
What is l in -2*l**3 + 2918946*l**2 - 5837886*l + 2918942 = 0?
1, 1459471
Find y such that 2*y**3/7 - 3070*y**2 - 7857386*y/7 - 7835894/7 = 0.
-353, -1, 11099
Factor 5*j**3 - 10885*j**2 + 5551510*j + 5562400.
5*(j - 1360)*(j - 818)*(j + 1)
Find o such that -80*o**4 - 476*o**3 + 4348*o**2 - 1056*o = 0.
-11, 0, 1/4, 24/5
Determine u, given that u**2 - 1413792*u - 9896593 = 0.
-7, 1413799
Determine l so that 6*l**2 + 87055*l/6 + 433475/3 = 0.
-86695/36, -10
Solve -7*n**5 - 705*n**4 + 9694*n**3 - 2712*n**2 = 0 for n.
-113, 0, 2/7, 12
Find u such that -4*u**2/5 + 127616*u/5 + 39805648 = 0.
-1490, 33394
Let -t**2 + 1936*t - 455388 = 0. What is t?
274, 1662
What is j in -5*j**5 - 5200*j**4 + 226015*j**3 - 1324810*j**2 - 22772000*j - 54100000 = 0?
-1082, -4, 25
Find v such that 2*v**4/13 + 181668976*v**3/13 + 4125452286780044*v**2/13 + 8250904028553168*v/13 + 4125451923442098/13 = 0.
-45417243, -1
What is c in 2*c**2 - 21260*c - 1153872 = 0?
-54, 10684
What is h in 123*h**3 - 4964508*h**2 + 14165955*h + 2179386 = 0?
-6/41, 3, 40359
Suppose -2*d**2/19 + 46857752*d/19 - 274456115311688/19 = 0. What is d?
11714438
Suppose 106*d**4/23 - 4150*d**3/23 - 220492*d**2/23 - 25648*d + 94080/23 = 0. What is d?
-28, -3, 8/53, 70
Solve 5*j**3 - 172260*j**2 - 62663405*j + 62835660 = 0.
-361, 1, 34812
Solve 3*o**5 - 834*o**4 - 12885*o**3 + 179220*o**2 + 615252*o + 423984 = 0.
-22, -2, -1, 11, 292
Factor -2*q**2/7 + 76368*q/7 - 839806/7.
-2*(q - 38173)*(q - 11)/7
Determine l, given that -l**5/8 + 929*l**4/8 + 117259*l**3/4 + 1637826*l**2 - 1844532*l - 10007712 = 0.
-108, -2, 3, 1144
Determine t, given that t**4 + 26553*t**3 + 1828683*t**2 + 34088175*t + 86523228 = 0.
-26484, -33, -3
Factor 5*y**2 + 558645*y - 34095950.
5*(y - 61)*(y + 111790)
Find p, given that -p**3/4 + 19973*p**2/2 + 59932*p - 159808 = 0.
-8, 2, 39952
Suppose -3*n**5 + 171*n**4 - 1245*n**3 - 52875*n**2 + 523968*n - 470016 = 0. What is n?
-17, 1, 9, 32
Find v, given that 4*v**5 + 10700*v**4 + 159460*v**3 - 372460*v**2 - 159464*v + 361760 = 0.
-2660, -17, -1, 1, 2
Factor -5*h**2/2 - 73845*h/2 + 998730.
-5*(h - 27)*(h + 14796)/2
Factor -3*w**2 + 282108726*w - 6632111107111923.
-3*(w - 47018121)**2
Let -6*h**5 - 605271*h**4 + 7566789*h**3 - 3632076*h**2 = 0. What is h?
-100891, 0, 1/2, 12
Let -3*n**2 - 100387272*n - 839800364966832 = 0. What is n?
-16731212
Solve 3*d**3/8 + 219*d**2/2 + 26883*d/8 + 73143/4 = 0.
-258, -27, -7
Determine m so that -5*m**4 + 335*m**3 - 4975*m**2 - 16655*m + 86100 = 0.
-5, 3, 28, 41
Suppose 195*z**5 + 9350*z**4 + 21165*z**3 - 206250*z**2 + 256220*z - 12600 = 0. Calculate z.
-45, -7, 2/39, 2
Solve -5*z**3 + 159891640*z**2 = 0.
0, 31978328
Find f such that -39*f**5/5 + 501*f**4 + 4572*f**3/5 - 1188*f**2/5 = 0.
-2, 0, 3/13, 66
Factor i**2/3 - 16179484*i/3 + 65443925626564/3.
(i - 8089742)**2/3
Factor -g**3/6 - 54890*g**2/3 - 1097725*g/6 - 457375.
-(g + 5)**2*(g + 109770)/6
Determine l, given that -5*l**3 + 62405*l**2 = 0.
0, 12481
Factor -6*x**2/7 - 4128*x/7 - 94176.
-6*(x + 252)*(x + 436)/7
Let 4*j**2 - 179584*j - 3593280 = 0. What is j?
-20, 44916
Let 4*r**5 - 308*r**4 + 500*r**3 + 29108*r**2 - 29304*r = 0. Calculate r.
-9, 0, 1, 11, 74
Let -4*v**2 - 165412*v - 1157688 = 0. What is v?
-41346, -7
Suppose j**5/3 - 268733*j**4/3 + 18052340728*j**3/3 + 90275409464*j**2 + 433343250096*j + 650029387536 = 0. Calculate j.
-6, -3, 134374
Suppose 3*r**2 + 4338*r + 1523535 = 0. Calculate r.
-845, -601
Solve 140*h**5 - 374508*h**4 + 249904180*h**3 + 742497004*h**2 - 2553333744*h + 143433680 = 0 for h.
-5, 2/35, 2, 1339
Suppose h**3/6 - 90899*h**2/6 + 2068245235*h/6 - 39198277579/2 = 0. Calculate h.
57, 45421
Solve 4*f**3/3 + 28223168*f**2/3 + 56446324*f/3 + 9407720 = 0.
-7055790, -1
Factor -o**3/4 + 183379*o**2/4 + 1283751*o/2.
-o*(o - 183393)*(o + 14)/4
Let -3*h**4/2 - 1769832*h**3 + 9*h**2/2 + 5309493*h - 3539664 = 0. Calculate h.
-1179888, -2, 1
Find b, given that 4*b**4 - 380968*b**3 + 4190308*b**2 - 13713408*b + 13713264 = 0.
2, 3, 6, 95231
Solve -5*i**3 - 557785*i**2 - 7250290*i + 7808080 = 0.
-111544, -14, 1
Factor 4*y**2/3 - 3932*y - 606816.
4*(y - 3096)*(y + 147)/3
Suppose -5*l**3 + 89175*l**2 - 7541970*l - 31595000 = 0. Calculate l.
-4, 89, 17750
Solve -p**2 - 620315*p + 2481276 = 0.
-620319, 4
Solve 1053*t**3/5 - 4458399*t**2/5 - 4472157*t/5 - 2541 = 0.
-1, -1/351, 4235
What is g in 3*g**2/7 + 17337897*g/7 + 17337876 = 0?
-5779292, -7
Factor 2*f**3/13 - 7716*f**2/13 + 15354*f - 99632.
2*(f - 3832)*(f - 13)**2/13
Suppose g**2/2 - 32145*g/2 + 2701972 = 0. Calculate g.
169, 31976
Suppose r**2/9 - 2054*r/9 + 1054693/9 = 0. Calculate r.
1021, 1033
Let -57*s**4/8 - 1959*s**3/8 + 1004571*s**2/4 - 158517*s = 0. Calculate s.
-206, 0, 12/19, 171
Suppose -4*u**3 - 8104*u**2 + 886080*u = 0. Calculate u.
-2130, 0, 104
Solve -6*y**5/7 + 160768*y**4/7 - 12619826*y**3/7 + 263816432*y**2/7 - 86436472*y - 231467424/7 = 0 for y.
-1/3, 3, 38, 26716
Factor 2*a**2 - 24787276*a + 76801131437522.
2*(a - 6196819)**2
Let -4*i**3 + 103556*i**2 - 103552*i = 0. What is i?
0, 1, 25888
Determine q so that | {
"pile_set_name": "DM Mathematics"
} |
1215 and 225.
45
What is the greatest common factor of 10237 and 1?
1
What is the greatest common factor of 2520 and 245?
35
What is the highest common factor of 15 and 15?
15
What is the greatest common factor of 17 and 68?
17
Calculate the greatest common factor of 104 and 2340.
52
Calculate the highest common factor of 144 and 6912.
144
Calculate the highest common factor of 13 and 832.
13
What is the highest common factor of 150 and 180?
30
Calculate the greatest common factor of 2938 and 13.
13
What is the greatest common factor of 414 and 18?
18
Calculate the greatest common factor of 34375 and 110.
55
Calculate the highest common factor of 273 and 182.
91
What is the greatest common divisor of 518 and 154?
14
Calculate the highest common factor of 270 and 2400.
30
What is the greatest common factor of 1240 and 20?
20
What is the highest common divisor of 12 and 1362?
6
Calculate the greatest common factor of 1600 and 50.
50
What is the greatest common factor of 138 and 46?
46
What is the highest common factor of 299 and 65?
13
Calculate the greatest common divisor of 210 and 70.
70
Calculate the greatest common factor of 492 and 12.
12
What is the highest common factor of 87 and 6?
3
Calculate the greatest common factor of 210 and 165.
15
What is the highest common factor of 1 and 99?
1
Calculate the greatest common factor of 477 and 106.
53
What is the greatest common divisor of 909 and 189?
9
Calculate the greatest common divisor of 74 and 333.
37
What is the greatest common factor of 533 and 65?
13
What is the highest common divisor of 363 and 3828?
33
Calculate the greatest common divisor of 32 and 592.
16
What is the highest common divisor of 485 and 7857?
97
Calculate the highest common factor of 10 and 1010.
10
What is the greatest common divisor of 11872 and 53?
53
What is the highest common divisor of 200 and 54800?
200
Calculate the greatest common divisor of 175 and 625.
25
Calculate the highest common factor of 17 and 544.
17
Calculate the highest common divisor of 493 and 425.
17
What is the greatest common divisor of 25 and 2?
1
What is the greatest common factor of 130 and 510?
10
Calculate the highest common factor of 32 and 104.
8
Calculate the greatest common factor of 528 and 144.
48
What is the highest common factor of 18 and 1728?
18
Calculate the greatest common divisor of 36 and 4842.
18
Calculate the greatest common factor of 122 and 793.
61
Calculate the greatest common divisor of 320 and 880.
80
Calculate the highest common divisor of 13 and 1651.
13
What is the greatest common factor of 285 and 1349?
19
Calculate the greatest common divisor of 36 and 882.
18
What is the greatest common factor of 26082 and 84?
42
What is the greatest common factor of 395 and 474?
79
Calculate the greatest common divisor of 384 and 36.
12
What is the greatest common divisor of 5478 and 264?
66
What is the highest common factor of 341 and 11?
11
What is the greatest common factor of 2256 and 846?
282
Calculate the greatest common divisor of 110 and 100.
10
What is the greatest common divisor of 39 and 13?
13
What is the highest common divisor of 328 and 2419?
41
What is the greatest common factor of 105 and 5295?
15
Calculate the highest common factor of 16 and 664.
8
What is the highest common divisor of 8 and 298?
2
Calculate the greatest common factor of 2980 and 20.
20
What is the highest common factor of 2916 and 36?
36
Calculate the greatest common factor of 50 and 6950.
50
Calculate the highest common divisor of 187 and 102.
17
What is the greatest common factor of 2034 and 150?
6
Calculate the highest common factor of 4 and 8.
4
Calculate the highest common factor of 15652 and 182.
182
Calculate the highest common factor of 16 and 40.
8
What is the greatest common factor of 69 and 414?
69
Calculate the highest common factor of 1120 and 70.
70
What is the greatest common factor of 37 and 1591?
37
What is the highest common divisor of 14 and 37744?
14
Calculate the highest common factor of 1815 and 1485.
165
What is the greatest common divisor of 91 and 39?
13
Calculate the greatest common factor of 2544 and 53.
53
What is the highest common factor of 20 and 52?
4
What is the highest common divisor of 474 and 6?
6
Calculate the greatest common divisor of 18 and 657.
9
What is the greatest common factor of 3 and 15?
3
Calculate the highest common factor of 31 and 2.
1
Calculate the greatest common factor of 2418 and 31.
31
Calculate the highest common divisor of 986 and 306.
34
What is the highest common divisor of 20 and 18490?
10
What is the highest common factor of 250 and 160?
10
What is the greatest common factor of 9325 and 25?
25
What is the highest common divisor of 97225 and 25?
25
Calculate the highest common divisor of 108 and 2943.
27
What is the highest common divisor of 164 and 2788?
164
Calculate the highest common divisor of 5609 and 158.
79
Calculate the greatest common divisor of 55 and 1045.
55
Calculate the greatest common factor of 12804 and 22.
22
Calculate the greatest common divisor of 570 and 19.
19
Calculate the highest common divisor of 15 and 1569.
3
Calculate the highest common factor of 7 and 203.
7
What is the greatest common factor of 145 and 355?
5
Calculate the greatest common divisor of 232 and 1056.
8
What is the greatest common factor of 46 and 10649?
23
What is the greatest common divisor of 64 and 8?
8
Calculate the greatest common factor of 138 and 1150.
46
Calculate the greatest common divisor of 552 and 69.
69
Calculate the highest common factor of 7742 and 196.
98
Calculate the highest common divisor of 2250 and 9.
9
Calculate the greatest common factor of 189 and 140.
7
Calculate the greatest common factor of 732 and 12.
12
What is the highest common factor of 36 and 92?
4
What is the greatest common factor of 2592 and 320?
32
Calculate the greatest common divisor of 118 and 1298.
118
Calculate the greatest common factor of 3320 and 380.
20
What is the greatest common divisor of 370 and 10?
10
What is the highest common factor of 38 and 285?
19
What is the highest common divisor of 682 and 22?
22
Calculate the greatest common factor of 15 and 10080.
15
What is the highest common factor of 105 and 375?
15
What is the highest common factor of 34 and 102?
34
Calculate the highest common factor of 3 and 93.
3
What is the highest common factor of 156 and 429?
39
What is the highest common divisor of 77196 and 84?
84
What is the highest common divisor of 796 and 12?
4
Calculate the greatest common factor of 86 and 69746.
86
What is the highest common factor of 68 and 170?
34
What is the highest common factor of 584 and 2482?
146
Calculate the highest common factor of 100 and 12.
4
What is the highest common factor of 120 and 320?
40
Calculate the greatest common divisor of 2592 and 28.
4
What is the highest common divisor of 12 and 174?
6
Calculate the greatest common divisor of 59 and 2065.
59
What is the highest common factor of 56 and 64?
8
Calculate the greatest common divisor of 4 and 304.
4
What is the greatest common factor of 348 and 30972?
348
Calculate the highest common factor of 188 and 799.
47
What is the greatest common factor of 16 and 2?
2
What is the highest common factor of 10 and 15?
5
Calculate the highest common divisor of 4382 and 14.
14
What is the highest common divisor of 462 and 42?
42
Calculate the greatest common divisor of 976 and 61.
61
What is the greatest common divisor of 546 and 936?
78
Calculate the highest common divisor of 165 and 28545.
165
Calculate the greatest common factor of 5706 and 18.
18
Calculate the highest common factor of 2868 and 60.
12
What is the greatest common divisor of 1280 and 10?
10
What is the highest common factor of 160 and 440?
40
What is the greatest common factor of 7 and 413?
7
What is the greatest common divisor of 144 and 414?
18
What is the greatest common factor of 270 and 8235?
135
Calculate the greatest common factor of 35 and 1.
1
Calculate the greatest common divisor of 28 and 544.
4
What is the greatest common divisor of 32 and 72608?
32
Calculate the greatest common factor of 216 and 40.
8
Calculate the highest common factor of 4536 and 96.
24
What is the highest common factor of 4023 and 81?
27
What is the | {
"pile_set_name": "DM Mathematics"
} |
arest integer?
1644
What is 141207612 to the power of 1/2, to the nearest integer?
11883
What is the square root of 1111784787 to the nearest integer?
33343
What is 26411508 to the power of 1/8, to the nearest integer?
8
What is 3259578628 to the power of 1/8, to the nearest integer?
15
What is 2053433908 to the power of 1/4, to the nearest integer?
213
What is the ninth root of 41215105 to the nearest integer?
7
What is 186198632 to the power of 1/3, to the nearest integer?
571
What is the third root of 35193447 to the nearest integer?
328
What is 6176234155 to the power of 1/2, to the nearest integer?
78589
What is 13629693 to the power of 1/4, to the nearest integer?
61
What is 1098916681 to the power of 1/10, to the nearest integer?
8
What is the third root of 6442883 to the nearest integer?
186
What is the square root of 1084036418 to the nearest integer?
32925
What is 41772327 to the power of 1/3, to the nearest integer?
347
What is 80643108 to the power of 1/3, to the nearest integer?
432
What is 236337114 to the power of 1/2, to the nearest integer?
15373
What is the third root of 97319229 to the nearest integer?
460
What is 270993907 to the power of 1/2, to the nearest integer?
16462
What is the square root of 58854287 to the nearest integer?
7672
What is the third root of 172713051 to the nearest integer?
557
What is 565044995 to the power of 1/10, to the nearest integer?
8
What is 3074566132 to the power of 1/7, to the nearest integer?
23
What is the fifth root of 58743930 to the nearest integer?
36
What is the third root of 50432759 to the nearest integer?
369
What is the seventh root of 3099249316 to the nearest integer?
23
What is the cube root of 1944523451 to the nearest integer?
1248
What is the cube root of 4469497007 to the nearest integer?
1647
What is the cube root of 1378652890 to the nearest integer?
1113
What is the cube root of 49153191 to the nearest integer?
366
What is 3282426718 to the power of 1/2, to the nearest integer?
57292
What is 325099719 to the power of 1/3, to the nearest integer?
688
What is the square root of 400447686 to the nearest integer?
20011
What is 12971373 to the power of 1/7, to the nearest integer?
10
What is 36211033 to the power of 1/3, to the nearest integer?
331
What is the third root of 823533924 to the nearest integer?
937
What is the fourth root of 747343947 to the nearest integer?
165
What is 756267701 to the power of 1/3, to the nearest integer?
911
What is 25154012 to the power of 1/2, to the nearest integer?
5015
What is the cube root of 155440778 to the nearest integer?
538
What is 143704376 to the power of 1/3, to the nearest integer?
524
What is 6116659 to the power of 1/3, to the nearest integer?
183
What is the third root of 658740084 to the nearest integer?
870
What is the square root of 669626344 to the nearest integer?
25877
What is the eighth root of 93845328 to the nearest integer?
10
What is 178564452 to the power of 1/2, to the nearest integer?
13363
What is 93585791 to the power of 1/7, to the nearest integer?
14
What is the third root of 874950488 to the nearest integer?
956
What is 7509076901 to the power of 1/6, to the nearest integer?
44
What is the square root of 1008147180 to the nearest integer?
31751
What is the fifth root of 276596863 to the nearest integer?
49
What is the third root of 2455335091 to the nearest integer?
1349
What is 31000865 to the power of 1/10, to the nearest integer?
6
What is 49510585 to the power of 1/2, to the nearest integer?
7036
What is the cube root of 481886027 to the nearest integer?
784
What is 32274360 to the power of 1/5, to the nearest integer?
32
What is the square root of 59035934 to the nearest integer?
7683
What is 265756649 to the power of 1/4, to the nearest integer?
128
What is 28203634 to the power of 1/7, to the nearest integer?
12
What is 89093108 to the power of 1/2, to the nearest integer?
9439
What is the cube root of 190651660 to the nearest integer?
576
What is the seventh root of 471602824 to the nearest integer?
17
What is the third root of 196620817 to the nearest integer?
581
What is the sixth root of 613246302 to the nearest integer?
29
What is the cube root of 634244829 to the nearest integer?
859
What is the cube root of 628321739 to the nearest integer?
856
What is 58254559 to the power of 1/8, to the nearest integer?
9
What is the tenth root of 4823154401 to the nearest integer?
9
What is 30794154 to the power of 1/2, to the nearest integer?
5549
What is 69652637 to the power of 1/5, to the nearest integer?
37
What is 3361250992 to the power of 1/9, to the nearest integer?
11
What is the fourth root of 437063656 to the nearest integer?
145
What is the sixth root of 284737288 to the nearest integer?
26
What is the cube root of 53272374 to the nearest integer?
376
What is the third root of 7306152279 to the nearest integer?
1940
What is the square root of 5095758822 to the nearest integer?
71385
What is 127471280 to the power of 1/3, to the nearest integer?
503
What is the eighth root of 28403108 to the nearest integer?
9
What is the sixth root of 50651577 to the nearest integer?
19
What is the eighth root of 1100525455 to the nearest integer?
13
What is 3957645375 to the power of 1/2, to the nearest integer?
62910
What is 2567392160 to the power of 1/10, to the nearest integer?
9
What is the eighth root of 23955984 to the nearest integer?
8
What is 70069899 to the power of 1/2, to the nearest integer?
8371
What is the square root of 1496163230 to the nearest integer?
38680
What is the square root of 41543879 to the nearest integer?
6445
What is the fifth root of 68578597 to the nearest integer?
37
What is the square root of 456364111 to the nearest integer?
21363
What is 342912429 to the power of 1/3, to the nearest integer?
700
What is 408831223 to the power of 1/5, to the nearest integer?
53
What is 22589981 to the power of 1/2, to the nearest integer?
4753
What is 19247894 to the power of 1/6, to the nearest integer?
16
What is the fifth root of 1468760284 to the nearest integer?
68
What is 94110309 to the power of 1/2, to the nearest integer?
9701
What is 4665195 to the power of 1/6, to the nearest integer?
13
What is 2775236318 to the power of 1/6, to the nearest integer?
37
What is the sixth root of 7637926 to the nearest integer?
14
What is 319031587 to the power of 1/9, to the nearest integer?
9
What is 51847796 to the power of 1/2, to the nearest integer?
7201
What is the third root of 4260482295 to the nearest integer?
1621
What is the cube root of 599166735 to the nearest integer?
843
What is the sixth root of 378457735 to the nearest integer?
27
What is 3014407955 to the power of 1/3, to the nearest integer?
1445
What is 9755434 to the power of 1/9, to the nearest integer?
6
What is the cube root of 319459318 to the nearest integer?
684
What is 1906502539 to the power of 1/2, to the nearest integer?
43664
What is 8183086298 to the power of 1/2, to the nearest integer?
90460
What is 4134393398 to the power of 1/2, to the nearest integer?
64299
What is the square root of 1125995615 to the nearest integer?
33556
What is the cube root of 262449374 to the nearest integer?
640
What is 179346419 to the power of 1/2, to the nearest integer?
13392
What is the cube root of 454332602 to the nearest integer?
769
What is 17844643 to the power of 1/9, to the nearest integer?
6
What is the cube root of 115164751 to the nearest integer?
487
What is the cube root of 269600051 to the nearest integer?
646
What is 120383635 to the power of 1/2, to the nearest integer?
10972
What is the seventh root of 80795819 to the nearest integer?
13
What is 753117789 to the power of 1/4, to the nearest integer?
166
What is the tenth root of 14054017 to the nearest integer?
5
What is the cube root of 528540214 to the nearest integer?
809
What is the seventh root of 15554532 to the nearest integer?
11
What is the cube root of 223571984 to the nearest integer?
607
What is 399941552 to the power of 1/10, to the nearest integer?
7
What is the square root of 167937025 to the nearest integer?
12959
What is the third root of 208386281 to the nearest integer?
593
What is 593767030 to the power of 1/3, to the nearest integer?
841 | {
"pile_set_name": "DM Mathematics"
} |
39, 1, 3
Put -7, 2, -1, 5, 65, 19, 51 in decreasing order.
65, 51, 19, 5, 2, -1, -7
Sort 1, 0, 5, -3, -2, -71/3, -1/9 in increasing order.
-71/3, -3, -2, -1/9, 0, 1, 5
Sort 20, -16, -13, 9, -2 in ascending order.
-16, -13, -2, 9, 20
Sort 1, 414, -12127.
-12127, 1, 414
Put 2/5, -40/43, 1.7, 6, 3/2 in descending order.
6, 1.7, 3/2, 2/5, -40/43
Sort -0.1, -40/7, 74, -2.8.
-40/7, -2.8, -0.1, 74
Sort 1267, -2, -5, 8, -59 in ascending order.
-59, -5, -2, 8, 1267
Put -3, -4, 42, -7, 2, 3, 12 in decreasing order.
42, 12, 3, 2, -3, -4, -7
Sort 2/29, 1360, 6.95 in descending order.
1360, 6.95, 2/29
Sort 30, -4, 17, 3, -28 in decreasing order.
30, 17, 3, -4, -28
Sort -4, 489, -23, 4, -16 in decreasing order.
489, 4, -4, -16, -23
Put 172, 672, 4, -42 in increasing order.
-42, 4, 172, 672
Put 1.1, -0.5, -0.3242, -0.3, -2 in increasing order.
-2, -0.5, -0.3242, -0.3, 1.1
Sort -19/24, 22, 0.1, 3, -2/239.
-19/24, -2/239, 0.1, 3, 22
Put 16, -5, 19, 4, -3, -3509, 1 in decreasing order.
19, 16, 4, 1, -3, -5, -3509
Sort 1210514, 1, 8, 0 in descending order.
1210514, 8, 1, 0
Sort -3, -51, -37, 2, -5, -13 in decreasing order.
2, -3, -5, -13, -37, -51
Sort -9442, -4, 0.452, 1 in descending order.
1, 0.452, -4, -9442
Sort -5, -4, -330, 49742 in decreasing order.
49742, -4, -5, -330
Sort 3, 35241, -5, -2, 29 in descending order.
35241, 29, 3, -2, -5
Put -121622, 5, -1, -4, 1 in ascending order.
-121622, -4, -1, 1, 5
Put -172, 5, -15, -5/2, 1/2 in descending order.
5, 1/2, -5/2, -15, -172
Put -5, 5, -2, -1, -4, 4, -48454 in ascending order.
-48454, -5, -4, -2, -1, 4, 5
Sort -2585, -83.67, 0.9 in ascending order.
-2585, -83.67, 0.9
Sort -4, -2, -3, -58805, -5 in increasing order.
-58805, -5, -4, -3, -2
Sort 3, 4/13, -4, -8.962.
-8.962, -4, 4/13, 3
Sort 2, 97199871, 1 in decreasing order.
97199871, 2, 1
Sort 16771902, 2/3, 1/4 in ascending order.
1/4, 2/3, 16771902
Put 4156, 8, 561 in increasing order.
8, 561, 4156
Sort -2, -4, 552, -19151 in ascending order.
-19151, -4, -2, 552
Sort 14513, 1, -0.1, -3/7, -12.6 in ascending order.
-12.6, -3/7, -0.1, 1, 14513
Put 2227, 1594, -7 in ascending order.
-7, 1594, 2227
Sort 0.2, -662, 4/51, 8 in descending order.
8, 0.2, 4/51, -662
Put -0.022923, 1/17, 8 in decreasing order.
8, 1/17, -0.022923
Sort -11, -98, 2, -269006, -2 in ascending order.
-269006, -98, -11, -2, 2
Sort -3, -7151, 10 in increasing order.
-7151, -3, 10
Put 83, -2, 2, -30, -3, -21 in descending order.
83, 2, -2, -3, -21, -30
Sort 3/2, -2, 480303, -0.1.
-2, -0.1, 3/2, 480303
Put 3, 0, -4, 832, -9, -115 in increasing order.
-115, -9, -4, 0, 3, 832
Sort 1, 19, -145, 31, 5, 3 in ascending order.
-145, 1, 3, 5, 19, 31
Put -2, 14, -963, 19 in ascending order.
-963, -2, 14, 19
Put -220, -1, 12, -10, -4, -11, 4 in decreasing order.
12, 4, -1, -4, -10, -11, -220
Sort 143, 10, 15, -35, -4, -3, 4 in descending order.
143, 15, 10, 4, -3, -4, -35
Put 18147, -2, 4, 227 in descending order.
18147, 227, 4, -2
Sort 2/322755, 5, 4/9, 0.2.
2/322755, 0.2, 4/9, 5
Sort 0.1, -1, -2, 5, 257, 38 in increasing order.
-2, -1, 0.1, 5, 38, 257
Put 1/5, 0.3, -0.2, 136, -1, 20 in descending order.
136, 20, 0.3, 1/5, -0.2, -1
Sort 2, -26, 4, 3897, 3.
-26, 2, 3, 4, 3897
Sort 2/5, 4, -356, 1259 in decreasing order.
1259, 4, 2/5, -356
Sort 0, -1, -2781, -4, -0.06 in decreasing order.
0, -0.06, -1, -4, -2781
Put 10, 28, -105, -5 in descending order.
28, 10, -5, -105
Sort -0.3, -1/7, -2/3, -2/19192833 in ascending order.
-2/3, -0.3, -1/7, -2/19192833
Sort -765, -171, 2 in decreasing order.
2, -171, -765
Sort -0.5, 1/9, -0.2, 2/9, 80937 in descending order.
80937, 2/9, 1/9, -0.2, -0.5
Sort -1, 1722, -4, 509, 5, 3 in decreasing order.
1722, 509, 5, 3, -1, -4
Put -1.3, -4/7, 121508, -0.17 in descending order.
121508, -0.17, -4/7, -1.3
Sort -0.06, 90, -43504/39.
-43504/39, -0.06, 90
Put 58, 28, 1, -3, 31 in decreasing order.
58, 31, 28, 1, -3
Sort 7, 172, -2, -4, 2327.
-4, -2, 7, 172, 2327
Sort 2/5, 1/9982, -75/2, 1/4.
-75/2, 1/9982, 1/4, 2/5
Put -5, 2/21, 323, -1, 0 in decreasing order.
323, 2/21, 0, -1, -5
Put 382/3, -5/4, 659, 5 in ascending order.
-5/4, 5, 382/3, 659
Sort 9, 5, 2.4, -5, 0.1, -544 in descending order.
9, 5, 2.4, 0.1, -5, -544
Sort -1/1738, 0.5, 2616/11 in descending order.
2616/11, 0.5, -1/1738
Sort -10, -0.5, 8, -10506, 3, 0.1.
-10506, -10, -0.5, 0.1, 3, 8
Sort -18, 0, -0.16, 0.06, 48, 0.5 in decreasing order.
48, 0.5, 0.06, 0, -0.16, -18
Put 40, 493, 0, 17, 10 in ascending order.
0, 10, 17, 40, 493
Sort -166, 1, 4, 891, -8 in decreasing order.
891, 4, 1, -8, -166
Put -6, -617, -4, 202, -3 in descending order.
202, -3, -4, -6, -617
Sort 8, -0.04, 215/3, -1/9 in descending order.
215/3, 8, -0.04, -1/9
Put -0.3, 44, 8, 7/20 in descending order.
44, 8, 7/20, -0.3
Put 21.2, 8, -75.6 in increasing order.
-75.6, 8, 21.2
Sort 11, 126, 1/23, 17, 16 in descending order.
126, 17, 16, 11, 1/23
Sort -76, 0, -3, 4, 3, 36, 99 in ascending order.
-76, -3, 0, 3, 4, 36, 99
Sort 7134, -0.5, 54/13, 4 in decreasing order.
7134, 54/13, 4, -0.5
Sort -5, -3, -6, 0, -1540, 8 in descending order.
8, 0, -3, -5, -6, -1540
Sort 634, 4, 5, -2, -6, -4 in increasing order.
-6, -4, -2, 4, 5, 634
Sort -1863, -13, -3, -8, -2 in increasing order.
-1863, -13, -8, -3, -2
Put -0.2516, -3, 1, 516 in increasing order.
-3, -0.2516, 1, 516
Sort -92740, -4, 211 in decreasing order.
211, -4, -92740
Sort 3, -4, 0.12, -51013/12 in ascending order.
-51013/12, -4, 0.12, 3
Put -6, -90090, 5, 4, 2, -2 in descending order.
5, 4, 2, -2, -6, -90090
Put 4, 3, -203009, 1, 0, 2 in increasing order.
-203009, 0, 1, 2, 3, 4
Put 5, -394, 8, -3, -1, 4, 2 in decreasing order.
8, 5, 4, 2, -1, -3, -394
Sort -24949, -36, 0, 4, -5, 18 in increasing order.
-24949, -36, -5, 0, 4, 18
Put 30, -25, 1, 3, -29, -2 in ascending order.
-29, -25, -2, 1, 3, 30
Put -504, 442, -7, 3, 0 in increasing order.
-504, -7, 0, 3, 442
Sort 0, 3, -8/7, -0.09, -1, -49.1.
-49.1, -8/7, -1, -0.09, 0, 3
Sort 48, -1, 2, -3, 4, -4, 3 in descending order.
48, 4, 3, 2, -1, -3, -4
Sort 1, 2, -20821, -2, -3, -11 in descending order.
2, 1, -2, -3, -11, -20821
Put -17, -248470, 0, 5, -5, -4 in increasing order.
-248470, -17, -5, -4, 0, 5
Sort 54, 2/3, -5, -2/137, 0, -0.092 in increasing order.
-5, -0.092, -2/137, 0, 2/3, 54
Put -14/25, -3.5, -2/7, 13 in decreasing order.
13, -2/7, -14/25, -3.5
Put 18.19, 0, -2/11, -3778, -0.2 in increasing order.
-3778, -0.2, -2/11, 0, 18.19
Sort 3, 0, -1054912, -4.
-1054912, -4, 0, 3
Put 3, -3/2, 6, 8, 1/136, -0.3 in decreasing order.
8, 6, 3, 1/136, -0.3, -3/2
Put 47, 12.32, 0, -2, -1, 2 in descending order.
47, 12.32, 2, 0, -1, -2
Put -19, 5, 364, 230 in increasing order.
-19, 5, 230, 364
Sort -4, 2, -7, -1, 0, -5, 117647 in decreasing order.
117647, 2, 0, -1, -4, -5, -7
Sort 610, -0.4, 1, 3, 4/7, -3, 5 in increasing order.
-3, -0.4, 4/7, 1, 3, 5, 610
Sort -8/21, 1, -14960 in ascending order.
-14960, -8/21, 1
Sort -204, 7, 9992 in descending order.
9992, 7, -204
Sort 191, 7, -27, 26 in decreasing order.
191, 26, 7, -27
Sort 2, 3/7, -27429.
-27429, 3/7, 2
Put -1/3, -343, 5, -0.12, -0.2 in decreasing order.
5, -0.12, -0.2, -1/3, -343
Sort -103, 29569, -35 in descending order.
29569, -35, -103
Sort -28, 1, 44734, -1, 2, -4, 7.
-28, -4, -1, 1, 2, 7, 44734
Put 5, 2/3, 2, -0.022, -65/232 in ascending order.
-65/232, -0.022, 2/3, 2, 5
Sort -1, 6, 15, -5/4, -17.03 in descending order.
15, 6, -1, -5/4, -17.03
Sort -7, 1075, 36, -13.
-13, -7, 36, 1075
Sort -14686184, 3, -1.
-14686184, -1, 3
Sort -5, 4, 118, -49, 1, -1 in ascending order.
-49, -5, -1, 1, 4, 118
Put -5, 49292, 132, -2/3, 0.1 in descending order.
49292, 132, 0.1, -2/3, -5
Sort -2, -24, -0.0619, 3/13 in increasing order.
-24, -2, -0.0619, 3/13
Sort -88, -16, -4, 0, -3, -937, 4.
-937, -88, -16, -4, -3, 0, 4
Put -56, -9803, -34, -5, -1 in ascending order.
-9803, -56, -34, -5, -1
Sort -497, -0.4, 0, 0.4, 78 in descending order.
78, 0.4, 0, -0.4, -497
Put -3, 69901, 11 in ascending order.
-3, 11, 69901
Sort -3/32, 7/5, 0.06, 0.082 in descending order.
7/5, 0.082, 0.06, -3/32
Put 4, 100, -6.5, -9/8, -2, 1, 0 in descending order.
100, 4, 1, 0, -9/8, -2, -6.5
Put -3/5, -7, 1, 0, 4, -0.37 in decreasing order.
4, 1, 0, -0.37, -3/5, -7
Put -0.5, -84, 13.8, 0.0468, 5 in decreasing order.
13.8, 5, 0 | {
"pile_set_name": "DM Mathematics"
} |
o 0.2? (a) 0.5 (b) -1/6 (c) 2800068 (d) -1/4
a
What is the closest to 1 in -1/119820, -2.5, -5?
-1/119820
Which is the closest to 2? (a) -20 (b) 0 (c) 2/65 (d) -0.02 (e) 45
c
What is the nearest to 2 in 7, -3/2, -5/986, 6, 2?
2
What is the closest to 1 in 0.7, 4/34541, -5/4, -3/8?
0.7
What is the closest to -0.4 in 213, 3/38, -2/5, 63?
-2/5
What is the closest to 127 in 5, -0.64, 9, -0.1?
9
Which is the closest to 517.9? (a) -28 (b) 43 (c) 5
b
What is the nearest to -24 in 0.047, -1/4, 0.2, 13.4, 0.3, -2/9?
-1/4
What is the closest to -1 in -169893, 0.7, 17?
0.7
Which is the closest to -55? (a) -0.079 (b) -61 (c) 4
b
What is the nearest to 2136 in -44, 55, -3, -5?
55
Which is the closest to 1/3? (a) -1 (b) 1/3 (c) 2 (d) 2/23 (e) -2/363
b
Which is the nearest to 2/3? (a) 7/187 (b) 0.5 (c) -4 (d) -5 (e) -0.4 (f) 6/29
b
What is the nearest to -71 in -29096, -7, -4, 1?
-7
Which is the closest to -586? (a) -3/5 (b) 7/15 (c) 1/3
a
What is the closest to -19 in 0.1, -234, -1, 0.22, -2/15?
-1
What is the closest to -1 in 346.9, 3, -0.05, 4, -2?
-0.05
What is the closest to 2/5 in 1, 4/107, 10215, 4/3?
4/107
Which is the closest to 3? (a) 1.5 (b) 2/11 (c) -318 (d) -0.65
a
What is the closest to -7.11 in -4.2, -0.4, -1/5, 9?
-4.2
Which is the nearest to 3/4? (a) -9 (b) 1 (c) 621 (d) 5.4
b
What is the nearest to -1/2 in 100666, 2/13, 1/3, 3?
2/13
What is the nearest to -25 in -3/4, 0, 13601?
-3/4
What is the closest to -1/3 in -2/13, -74, -2/7, -0.156, -0.2?
-2/7
What is the nearest to 154 in -10556/3, -1, -0.5?
-0.5
What is the nearest to 0.31 in 7/3, -2/6185, -42, 0.2?
0.2
Which is the nearest to 0.1? (a) -481794 (b) -0.5 (c) 2/9
c
What is the closest to 854 in -4/5, 1/7, -0.5, 3?
3
What is the nearest to 7 in -0.07, 1, 20.74, -9?
1
Which is the nearest to -6/11? (a) 0.4 (b) 10 (c) -0.054398
c
Which is the closest to 0.06? (a) 7 (b) -11 (c) 0.2 (d) -5/8 (e) -1.2
c
What is the nearest to 72 in 1/8, 2605.4, 0.1?
1/8
Which is the nearest to -8? (a) 0.2 (b) -3/19 (c) 2/1375 (d) 5
b
Which is the closest to -0.1? (a) 37539 (b) 3/7 (c) 2/73
c
Which is the nearest to -3? (a) 16 (b) 0.5 (c) -5 (d) 124/15 (e) 13
c
What is the nearest to 0.9 in -75, 11/9, -0.286, 2/21?
11/9
Which is the nearest to -13? (a) 64 (b) 2 (c) -0.22229
c
What is the closest to 11.199 in 1.5, 0.06, 2?
2
What is the nearest to 1 in 6, -7, -0.1, 3, -766?
-0.1
What is the closest to 1 in 0, -98, 422.83, 1/2?
1/2
What is the closest to -0.4 in -2/3, -517.016, -3/4?
-2/3
Which is the closest to 0? (a) -1/4 (b) -0.1 (c) 654/31 (d) -3.3
b
What is the closest to -0.5 in 11, 94, -0.1, 1, -180?
-0.1
What is the closest to -67 in 198, -0.3, -13?
-13
Which is the closest to -1913? (a) 4 (b) 1 (c) 0.3 (d) 1/4
d
Which is the closest to 0? (a) -9/4 (b) -0.2 (c) -42 (d) -3869
b
What is the closest to 1 in -31.087, 4, 34, -1/7, -4?
-1/7
What is the closest to 1/2 in -0.03, 4, 3, 2/1585, 0.3, 56?
0.3
Which is the closest to -454? (a) 3/4 (b) -0.03 (c) -88
c
Which is the nearest to 0.3? (a) -13 (b) 5.6091 (c) -2 (d) -3
c
Which is the nearest to 0.13? (a) -2 (b) -0.4 (c) 0 (d) -1/3 (e) 4354
c
What is the closest to -0.1 in 3/7, 4/108417, 4/7?
4/108417
What is the closest to 1 in 66, -0.05, 0.7, 4/9, 33, 1/2?
0.7
What is the nearest to -3 in -5, -95, -176, 5/4, -2, 3?
-2
Which is the nearest to -334? (a) 468 (b) 11 (c) 3
c
What is the nearest to -4 in 0.3, -1/3397, 1, -1/9, -3?
-3
Which is the closest to 29.404? (a) 2/11 (b) -0.1 (c) -7 (d) 4
d
What is the nearest to -387 in -3/5, -0.5, -0.07, 5?
-3/5
Which is the nearest to -310.58? (a) 0.36 (b) -1/7 (c) 1/5
b
What is the closest to 2 in 5, 95, -291, 3/7, 3?
3
What is the closest to 2345/3 in -2/7, -1, 0.1, 5/2?
5/2
Which is the closest to -3/4? (a) 8 (b) 0 (c) 5 (d) -0.0323 (e) -0.64
e
Which is the nearest to 5245? (a) 9 (b) -2/11 (c) -0.4 (d) 1.2
a
Which is the closest to -0.11? (a) -0.1 (b) 2/9 (c) -4 (d) -6/11 (e) 6 (f) 21
a
What is the closest to -115 in -4, -3/65185, -3?
-4
Which is the closest to -0.1? (a) 0.06 (b) 1 (c) 778 (d) 0.1249 (e) 1/2 (f) 0
f
Which is the nearest to 19? (a) -17 (b) 1/2 (c) 2767
b
What is the closest to 43 in 5, -2/11, 4, -1.3, -4.8?
5
What is the closest to -28 in -5/2, -1, -0.077, -12, -2/75?
-12
Which is the nearest to 4/19? (a) 2/7 (b) 0.4 (c) 0 (d) -3/5 (e) -199 (f) -1213
a
What is the nearest to 0.2 in -0.1, 1115, 2/15, 2, -1/2941?
2/15
What is the closest to -24 in -0.4, 1/3, 0.1, 2, -9/581?
-0.4
What is the closest to 2 in -5, -619, -7.844?
-5
Which is the closest to -116489? (a) 0 (b) 5 (c) -50
c
Which is the nearest to -495? (a) 9 (b) 2 (c) -0.5 (d) 0.06
c
What is the closest to -5/4 in -0.09, -2/9, -219, 2, -27?
-2/9
What is the closest to 2/7 in 9, 62004, -0.5, -5, -4?
-0.5
What is the closest to -0.2 in 0.07, 265, -21, 2/9, -4?
0.07
What is the closest to -0.3 in 1/22, -0.26, -4, -0.4, -0.42?
-0.26
Which is the nearest to 3? (a) -3/5 (b) -4 (c) -134 (d) -8 (e) -0.2 (f) -2.2
e
What is the nearest to -0.712 in -5604, 5, -4?
-4
What is the closest to -1 in -592, 2/53, -0.5?
-0.5
What is the closest to 1 in 7588, -2, -46, -0.3?
-0.3
What is the nearest to -46 in -54, -28, -0.3, -2?
-54
Which is the closest to 1? (a) 3 (b) -5 (c) -0.1 (d) -13/6 (e) -8/17
c
Which is the closest to -1? (a) 374 (b) -1/5 (c) -0.195 (d) 0.4
b
What is the closest to 198 in -2/9, 0.45, 0.3, 5?
5
What is the closest to 1/8 in -3, 1/22968, -5, 0.4, -1?
1/22968
What is the nearest to 1 in -4, 3, 21756480?
3
What is the nearest to 9927 in -3, -0.1, -2/33, -0.5?
-2/33
Which is the closest to 0.3? (a) 102 (b) -293 (c) -315
a
What is the closest to 1 in -263, 3, 1035, 3/7?
3/7
Which is the closest to -3/5? (a) -1/6 (b) 1/6 (c) 1/21 (d) 13 (e) -2
a
What is the nearest to 0.08371 in -0.05, -1, 0.4?
-0.05
Which is the closest to -3? (a) 21427 (b) -0.1 (c) -3/19
c
Which is the nearest to -1? (a) -765 (b) -5 (c) 16 (d) -0.1 (e) -3/2
e
Which is the nearest to -0.1? (a) 2143 (b) -162 (c) 12 (d) 9
d
Which is the nearest to 1? (a) 17 (b) -5/2 (c) 0.244 (d) -20.4
c
What is the closest to -8 in -2, 3, -3/61, 150, -30/7, 0.4?
-30/7
What is the nearest to 2/7 in 4/3, 0, -3, 3/8, -287, 6?
3/8
What is the nearest to 20641 in 0.7, 1, -3/8?
1
What is the nearest to 344 in 0, 1, 4, -153.31, 1/4?
4
What is the closest to -10 in 4, 7, -4, 9058?
-4
What is the closest to 7/580 in -5, -2/15, -8, -0.12, 3?
-0.12
What is the nearest to -0.4 in -0.2, 4, 15, -15, -378.1?
-0.2
What is the nearest to -1/7 in -0.1, 1/3, -0.3, 2.6881, -0.4?
-0.1
What is the closest to 1678 in 4, 3, 13/5, 5/8?
4
What is the closest to 2 in -1/2, 2/15, 348, 32/41?
32/41
Which is the nearest to 1561/72? (a) -1/4 (b) -3/7 (c) 2/37
c
Which is the nearest to -0.1? (a) -0.5 (b) 0 (c) -661 (d) -1/3 (e) -8.2
b
Which is the nearest to -4? (a) 16 (b) 141 (c) -1 (d) -3 (e) -34 (f) 9
d
What is the nearest to 0.2 in -11, 0.7, -951, -1?
0.7
What is the nearest to 0.1 in 40.001, 7/3, -2, 0.06?
0.06
What is the nearest to 2.4 in -2/77, 0, 1/1099, -0.4?
1/1099
Which is the nearest to 7/6? (a) -3/4 (b) -0.125 (c) -2/11 (d) -0.2 (e) 4
b
Which is the closest to 378? (a) 0 (b) 1 (c) -4 (d) -0.08
b
What is the closest to -1/4 in 4, 0.1, -0.0868, 0.4, -0.792?
-0.0868
Which is the nearest to -38? (a) 0.091 (b) 5 (c) -0.1 (d) -1/14
c
Which is the nearest to 0? (a) -12412 (b) -0.3 (c) 1.1
b
What is the closest to 1 in -200, 538, -3, 1/4, 0.4?
0.4
What is the closest to -0.2 in 0.01, 6622, -0.4, -1/14?
-1/14
What is the nearest to -258618 in -5, -3, 0.2?
-5
What is the closest to -4/1507 in -5, -11, 94?
-5
What is the closest to 79 in 0.05, -4, 6/7, 3/2, 4?
4
Which is the closest to 3? (a) 5/2 (b) 5 (c) -80 (d) -4 (e) -3.3
a
What is the closest to 2 in -74.1, 0.6, -10/149?
0.6
What is the closest to -1256 in 70, 0.2, -1/13, 1/3?
-1/13
Which is the nearest to -0.1? (a) 1 (b) 14552300 (c) 5
a
Which is the closest to -0.07? (a) 1 (b) 36 (c) 969 (d) -3/2 (e) 2/5
e
What is the closest to -5 in -1.6, -1.1, 0.3, -187.4, 0.4?
-1.6
Which is the closest to -209? (a) -75 (b) 7 (c) -0.33 (d) -0.21
a
Which is the c | {
"pile_set_name": "DM Mathematics"
} |
-179530946
-2
What is 5596154 divided by -41?
-5596154/41
What is -6818083 divided by 1?
-6818083
Divide 2912648 by -1.
-2912648
15644219 divided by -4987
-3137
What is 462 divided by -539890?
-231/269945
Divide -20616431 by 1874221.
-11
Divide -78367159 by 13.
-6028243
Divide -13573460 by 3393365.
-4
-173033946 divided by -2841
60906
Divide -990996 by 921.
-1076
What is 76407 divided by 173?
76407/173
Divide -257547774 by -56013.
4598
125907 divided by -425
-125907/425
Calculate 8914846 divided by -9014.
-989
Calculate 598809320 divided by -5.
-119761864
Divide 156 by 73972.
39/18493
Divide 68 by 68699.
68/68699
Calculate -35745249 divided by 11915083.
-3
What is 10066 divided by -3777?
-10066/3777
Calculate -558345 divided by 186115.
-3
Calculate 107680841 divided by 1006363.
107
Calculate -28651932 divided by 36.
-795887
What is -641 divided by -952038?
641/952038
Divide -270281820 by -2740.
98643
Calculate -649061532 divided by 4676.
-138807
Divide -2245782 by 42.
-53471
What is 5954580 divided by 66162?
90
Calculate -2 divided by 150114408.
-1/75057204
-6 divided by 17614498
-3/8807249
What is 2269207 divided by 1?
2269207
-144 divided by -84880
9/5305
Divide -273 by -10767.
91/3589
-7537014 divided by -151
49914
Calculate 5 divided by 6519756.
5/6519756
Calculate 357332070 divided by 94.
3801405
Calculate 2112400 divided by 5281.
400
-219507998 divided by 6
-109753999/3
Calculate 214129080 divided by 2024.
105795
Divide -39870150 by 157.
-253950
Divide -1 by -3898338.
1/3898338
What is -6485 divided by 4838?
-6485/4838
568320540 divided by -142080135
-4
What is 7146552 divided by 294?
24308
Divide 28225758 by 957.
29494
Calculate 10 divided by 5328147.
10/5328147
Calculate -1584792 divided by -8.
198099
What is 852002175 divided by -85?
-10023555
-549522136 divided by 68690267
-8
What is -27385901 divided by -129791?
211
What is 827708 divided by 721?
1148
Divide -13 by 5743548.
-13/5743548
Divide -183205155 by 1505.
-121731
360721392 divided by 318
1134344
Calculate -7723513 divided by -7723513.
1
-1356316 divided by -74
678158/37
3 divided by -195238
-3/195238
What is -10724182 divided by -5362091?
2
Calculate -57657 divided by -1498.
57657/1498
-407 divided by -113982
37/10362
Calculate 81116352 divided by -2534886.
-32
Divide 275931648 by -91977216.
-3
-721971 divided by -17
721971/17
What is 0 divided by 270518?
0
1027973 divided by 1
1027973
-2216985 divided by 1
-2216985
Divide 4051 by 6091.
4051/6091
Divide -98 by 29907.
-98/29907
What is -48 divided by -1221002?
24/610501
379 divided by 443063
379/443063
188621 divided by -35
-188621/35
What is -1 divided by -851282?
1/851282
Calculate 263367738 divided by 586.
449433
Divide 698 by -47.
-698/47
What is -94035335 divided by -5?
18807067
Divide -228319 by 4536.
-32617/648
Calculate -31716741 divided by -3.
10572247
Divide 85521615 by -555.
-154093
Calculate -2479287 divided by 1.
-2479287
What is -4 divided by 1694093?
-4/1694093
Divide 116549 by 364.
116549/364
20923935 divided by 8961
2335
Calculate 55774540 divided by -20.
-2788727
Calculate 25 divided by -33154144.
-25/33154144
1474 divided by 8099
1474/8099
What is 173 divided by 14148?
173/14148
Calculate -8 divided by -2846381.
8/2846381
Divide 418 by -66154.
-19/3007
-3949 divided by 1739
-3949/1739
Calculate -9018030 divided by -69.
3006010/23
Divide -2 by -133317204.
1/66658602
-77081157 divided by -3
25693719
Calculate -131002 divided by 30.
-65501/15
What is -379354932 divided by -63225822?
6
Calculate 8220644 divided by -8599.
-956
Divide 205467 by -2815.
-205467/2815
Divide 12824157 by -21481.
-597
What is -230991822 divided by -1?
230991822
Divide -4524 by 15507.
-1508/5169
Calculate 229428599 divided by 29.
7911331
What is 656448720 divided by 2?
328224360
What is -7132954 divided by -33?
7132954/33
Calculate -31240836 divided by -44.
710019
Divide -44 by 138712.
-11/34678
-1488292 divided by 372073
-4
38579 divided by 341
38579/341
Divide -6 by -24001236.
1/4000206
Divide 11 by 1285845.
1/116895
32207186 divided by -2927926
-11
What is 9260463 divided by 81951?
113
Calculate -10706959 divided by 9.
-10706959/9
What is -6536685 divided by -9?
2178895/3
-18691266 divided by 566402
-33
Calculate -339446316 divided by 15429378.
-22
What is 13170784 divided by 193688?
68
-12187 divided by -203
1741/29
Divide 3330327 by -7763.
-429
Calculate 0 divided by -23801.
0
Calculate 24239130 divided by -1986.
-12205
Divide 1823083 by -14.
-1823083/14
Divide -21832272 by 15036.
-1452
What is 411 divided by -105202?
-411/105202
4407865 divided by -629695
-7
What is -2 divided by 32067258?
-1/16033629
Calculate -4767 divided by 2629.
-4767/2629
734699030 divided by -2
-367349515
-35706888 divided by -348
102606
Calculate 267991 divided by 49.
267991/49
-4781976 divided by -207912
23
Divide 1268465 by 23063.
55
Calculate 27 divided by -1609509.
-9/536503
What is 10584406 divided by 5292203?
2
7 divided by 701263
7/701263
11 divided by -25662491
-11/25662491
Calculate -9795 divided by -1644.
3265/548
213120 divided by -576
-370
What is -4028891820 divided by 2?
-2014445910
Divide 294965 by -173.
-1705
What is -5 divided by -9222429?
5/9222429
35593529 divided by 450551
79
-5723400 divided by -1907800
3
What is -391310643 divided by -3?
130436881
What is -4613196 divided by 2306598?
-2
1557 divided by -2601
-173/289
What is 182 divided by 87250?
91/43625
Calculate 1 divided by -14623889.
-1/14623889
Divide 76956 by 103.
76956/103
Calculate 1106659172 divided by 4.
276664793
What is 213891060 divided by 587?
364380
Calculate -432506 divided by 8.
-216253/4
115 divided by -11034601
-115/11034601
Divide -3845031 by 1.
-3845031
Calculate -9383968 divided by 11066.
-848
Calculate -85438380 divided by 4.
-21359595
Divide -4422966 by -2.
2211483
What is -3555783 divided by -6597?
539
Calculate -100861 divided by 677.
-100861/677
Divide -3146853 by 208.
-3146853/208
-24784 divided by 681
-24784/681
20702060 divided by 4
5175515
Divide -13031465 by 277.
-47045
What is -147922536 divided by 40044?
-3694
Calculate -1561 divided by -852.
1561/852
Divide 25 by 34523682.
25/34523682
-49179238 divided by 49179238
-1
Calculate 324 divided by 52102.
162/26051
Calculate 104055 divided by 195.
6937/13
-503412 divided by -2035
503412/2035
Calculate -12249072 divided by -55176.
222
What is 227 divided by -28791?
-227/28791
Divide 4297 by 13061.
4297/13061
What is -1 divided by 13651792?
-1/13651792
What is -33173290 divided by 6634658?
-5
Divide 412777970 by -82555594.
-5
-9439675 divided by -5
1887935
-341 divided by -4071
341/4071
-11 divided by -6512073
11/6512073
16 divided by 554264
2/69283
10333545 divided by 43
240315
Calculate -337220 divided by 4.
-84305
Divide -91759280 by 178520.
-514
What is -47 divided by 286071?
-47/286071
What is -45768789 divided by 462311?
-99
What is -166 divided by 842199?
-166/842199
Calculate -15441195 divided by -3088239.
5
Divide -181225344 by 90612672.
-2
Calculate -82104519 divided by -3.
27368173
Calculate -23330679 divided by -47711.
489
What is 778 divided by -105148?
-389/52574
Divide -6637 by 42302.
-6637/42302
-101187704 divided by 2
-50593852
Calculate 1221706 divided by 16.
610853/8
Divide 19994 by 3307.
19994/3307
Calculate 372 divided by -221688.
-31/18474
23212480 divided by -5
-4642496
84940107 divided by 28313369
3
45090048 divided by -176133
-256
What is -44700656 divided by -1001?
44656
Divide 38748726 by 18.
2152707
What is -260611110 divided by -17374074?
15
Calculate -28468140 divided by -65444.
435
What is -490314660 divided by 11660?
-42051
Calculate -38442114 divided by -2.
19221057
Calculate 1408 divided by 16695.
1408/16695
Calculate 1359855310 divided by -5.
-271971062
Calculate -1165 divided by -386.
1165/386
What is 2605808 divided by -15?
-2605808/15
-13 divided by 2066715
-13/2066715
Calculate -2 divided by -11197149.
2/11197149
40332 divided by -28
-10083/7
11218 divided by 1383
11218/1383
Divide 137154099 by 3.
45718033
Calculate 262267 divided by 119.
262267/119
31323024 divided by 7830756
4
What is 0 divided by -2710369?
0
-2 divided by -26407202
1/13203601
Calculate 38768 divided by 82.
19384/41
5678530 divided by -1430
-3971
-429232074 divided by 6
-71538679
Calculate 11 div | {
"pile_set_name": "DM Mathematics"
} |
14
In base 7, what is -5 - -12?
4
In base 14, what is -5 + 0?
-5
In base 3, what is 22 - 1211001?
-1210202
In base 8, what is 5 + 42?
47
In base 15, what is 0 + 16?
16
In base 4, what is -211 + 22?
-123
In base 3, what is -12 - -221121?
221102
In base 16, what is -1c - -2?
-1a
In base 16, what is b - 867?
-85c
In base 13, what is 0 - 17?
-17
In base 3, what is -101 - 101012?
-101120
In base 16, what is -1 + -b8?
-b9
In base 8, what is 4 + -1535?
-1531
In base 7, what is 14 + 15?
32
In base 2, what is -10010011100 - -10110?
-10010000110
In base 13, what is 5 - -3?
8
In base 7, what is 1150 + 1?
1151
In base 7, what is 45 - -360?
435
In base 14, what is 5 - 2593?
-258c
In base 8, what is 1250 - -4?
1254
In base 9, what is -2622 + -5?
-2627
In base 4, what is 31 + 220?
311
In base 11, what is 5 - 44?
-3a
In base 14, what is 89 + -5?
84
In base 12, what is -4 - 32a?
-332
In base 8, what is -225 - 54?
-301
In base 6, what is -2 + 404?
402
In base 10, what is -47 - -2?
-45
In base 9, what is 58 + 2?
61
In base 14, what is -3a + -6?
-42
In base 6, what is -3 + -55305?
-55312
In base 4, what is 10 - 20001?
-13331
In base 4, what is -10 - 2311?
-2321
In base 7, what is 2 + 6?
11
In base 8, what is -3 + 1?
-2
In base 8, what is 125 - -252?
377
In base 4, what is 1303 + -2?
1301
In base 2, what is 1110 - -10001111?
10011101
In base 6, what is 3 + -3234?
-3231
In base 14, what is 28 - c?
1a
In base 16, what is -49 - 1?
-4a
In base 14, what is -12 - 155?
-167
In base 16, what is 4 - 15?
-11
In base 3, what is 2 + 12110010?
12110012
In base 11, what is -158 - -5?
-153
In base 8, what is -11 + -27?
-40
In base 10, what is 3 + -150?
-147
In base 6, what is 3024 + -5?
3015
In base 10, what is -45962 + 1?
-45961
In base 15, what is 1a - 1d?
-3
In base 2, what is 111111 + -10110100?
-1110101
In base 8, what is 1 - -5000?
5001
In base 2, what is -1100 - -101101100?
101100000
In base 9, what is -21 + 374?
353
In base 16, what is 3 - -87?
8a
In base 8, what is 2 - 1242?
-1240
In base 15, what is -892c - 3?
-8930
In base 10, what is 5 - -131?
136
In base 2, what is -10 - -1110?
1100
In base 5, what is -300 + 114?
-131
In base 16, what is 3 - -a0?
a3
In base 11, what is -8231 + -1?
-8232
In base 6, what is 3020 + 11?
3031
In base 6, what is 214 - 13?
201
In base 15, what is 2ba + 8?
2c3
In base 7, what is -3416 - -25?
-3361
In base 15, what is -282 + -12?
-294
In base 9, what is 5 - -150?
155
In base 15, what is -d - -19?
b
In base 8, what is -135 + 10?
-125
In base 15, what is 5d + 0?
5d
In base 14, what is -611 - -3?
-60c
In base 11, what is 13a05 - 0?
13a05
In base 7, what is -134 + 2?
-132
In base 3, what is -1201100 - 110?
-1201210
In base 3, what is -111 - -2?
-102
In base 15, what is -351 + -37?
-388
In base 11, what is -1 + -33?
-34
In base 11, what is -92 - -105?
23
In base 3, what is 10 + -11212?
-11202
In base 12, what is -119 - -4?
-115
In base 6, what is -3 + 1440?
1433
In base 14, what is 2 - 538?
-536
In base 3, what is 10 - -100010?
100020
In base 6, what is -5 - -12542?
12533
In base 12, what is 138 - -2?
13a
In base 6, what is -3 + 2521?
2514
In base 15, what is 7 + 6bb?
6c3
In base 4, what is 10020 - -1?
10021
In base 3, what is -2011001 - -12?
-2010212
In base 4, what is -22 + -1003?
-1031
In base 11, what is -21 + 6?
-16
In base 6, what is -111 - 11?
-122
In base 11, what is -19 - -8a?
71
In base 9, what is -740 + -43?
-783
In base 12, what is 0 - 17b?
-17b
In base 9, what is 0 + 4?
4
In base 5, what is 4 + -34?
-30
In base 7, what is 4 - 56?
-52
In base 4, what is -332001 + -11?
-332012
In base 9, what is -771 - -38?
-732
In base 14, what is -333 - 1?
-334
In base 12, what is 3 + -1803?
-1800
In base 14, what is -108 - 0?
-108
In base 13, what is 13 - 6aa?
-697
In base 16, what is 30f + -a?
305
In base 15, what is -1 + 3d?
3c
In base 3, what is 0 + 1022220?
1022220
In base 16, what is -12b6 + 3?
-12b3
In base 14, what is 10 - 22?
-12
In base 8, what is -2 + -44?
-46
In base 13, what is 8 - -cc?
107
In base 2, what is 1101101001011 - 10?
1101101001001
In base 13, what is 89 + 4?
90
In base 8, what is -463 + 2?
-461
In base 2, what is 10 + -10001010?
-10001000
In base 15, what is 4 - -1b5?
1b9
In base 5, what is 0 - -13?
13
In base 14, what is 1 + 23?
24
In base 12, what is 19 + -4?
15
In base 7, what is -53444 + 0?
-53444
In base 4, what is 10 - -202?
212
In base 8, what is 712 - 133?
557
In base 14, what is -5 + -397?
-39c
In base 5, what is -10 - 244?
-304
In base 16, what is 7c - 9?
73
In base 6, what is 111 - 145?
-34
In base 7, what is 261 + 13?
304
In base 10, what is 2 + 34?
36
In base 15, what is -a5 - -1?
-a4
In base 8, what is -56 + -17?
-75
In base 6, what is -5 + 1053?
1044
In base 11, what is 11 - 5?
7
In base 11, what is 23a - 2?
238
In base 8, what is 3 + 152?
155
In base 16, what is 9 - a?
-1
In base 2, what is 100001 - 110110?
-10101
In base 2, what is 1100 + -11111?
-10011
In base 14, what is 21 + 266?
287
In base 16, what is -e5 + -2?
-e7
In base 12, what is -5 - -463?
45a
In base 4, what is 131 + -232?
-101
In base 8, what is -1712 - -1?
-1711
In base 12, what is 158 - 0?
158
In base 2, what is 0 + -10100101000?
-10100101000
In base 11, what is 3 - -31?
34
In base 13, what is -32 + -4?
-36
In base 5, what is 1301 - 10?
1241
In base 2, what is 1011001001000 - 100?
1011001000100
In base 11, what is -370 + 4?
-367
In base 9, what is 716 - 2?
714
In base 7, what is -16 - -422?
403
In base 11, what is 27 + 747?
773
In base 3, what is -21021 - 1211?
-100002
In base 12, what is -3052 + -2?
-3054
In base 7, what is -60 - -4?
-53
In base 3, what is 221 - 2102?
-1111
In base 13, what is 54a - -1?
54b
In base 15, what is 2 - -c45?
c47
In base 8, what is -5 - 3753?
-3760
In base 4, what is -313 - 13?
-332
In base 15, what is 156 + 4?
15a
In base 3, what is 112110 + 100?
112210
In base 16, what is 5 + -21?
-1c
In base 16, what is 2af - 9?
2a6
In base 13, what is -c64 - 4?
-c68
In base 16, what is -4 + 16fc?
16f8
In base 14, what is 6d97 + 5?
6d9c
In base 13, what is -a1 + -59?
-12a
In base 5, what is -2343 - 134?
-3032
In base 14, what is 119 - -b?
126
In base 2, what is -100110 - -101?
-100001
In base 13, what is 40 + -9?
34
In base 7, what is 3 + -1505?
-1502
In base 8, what is -2324 + -3?
-2327
In base 16, what is 3 - -12?
15
In base 2, what is -10 + -10111001?
-10111011
In base 12, what is -2 + -660?
-662
In base 14, what is bc - -5?
c3
In base 14, what is 3 - -5b?
60
In base 7, what is -20 + 511?
461
In base 3, what is 21 + -1002200?
-1002102
In base 15, what is -49 - 3?
-4c
In base 9, what is -5 - -1?
-4
In base 10, what is 29 + 12?
41
In base 4, what is -202211 - 13?
-202230
In base 3, what is -121 + -101?
-222
In base 5, what is -100 - -1021?
421
In base 8, what is -2341 + -3?
-2344
In base 6, what is 2 - 11?
-5
In base 12, what is -1014 - -5?
-100b
In base 10, what is 2 + 1997?
1999
In base 6, what is 255 - -31?
330
In base 2, what is 10 + 1000?
1010
In base 13, what is -29 - 117?
-143
In base 11, what is -5 - 569?
-573
In base 11, what is -331a - 0?
-331a
In base 15, what is -9 - 2a?
-34
In base 3, what is -21222 + -11?
-22010
In base 6, what is -21 + 4?
-13
In base 6, what is -240430 + 3?
-240423
In base 11, what is -1059 + 5?
-1054
In base 4, what is 2301 + -230?
2011
In base 10, what is -25 - 19?
-44
In base 14, what is 24 + 7?
2b
In base 4, what is -3001 - -3?
-2332
In base 2, what is -110010 + -100001?
-1010011
In base 16, what is 1 + 43?
44
In base 2, what is -1100 + 1001000101?
1000111001
In base 3, what is 21220120 + -11?
21220102
In base 3, what is -210 + -21220?
-22200
In base 16, what is -106 + -2?
-108
In base 7, what is 453 + 3?
456
In base 13, what is -30 - -15?
-18
In base 7, what is 11 + 2555?
2566
In base 11, what is -a10 + 11?
-9aa
In base 15, what is -5 + -56?
-5b
In base 9, what is -2751 - 5?
-2756
In base 7, what is 1231 + 6?
1240
In base 11, what is -840 - 2?
-842
In base 4, what is -21302 - -32?
-21210
In base 8, what is 131663 - -5?
131670
In base 5, what is -4 + -2022?
-2031
In base 13, what is -16 - 0?
-16
In base 16, what is 0 + 3e3?
3e3
In base 7, what is 3033 - -16?
3052
In base 10, what is 5 + 3?
8
In base 7, what is 4 + -101?
-64
In base 6, what is 102 + 321?
423
In base 3, what is -101210 + 11 | {
"pile_set_name": "DM Mathematics"
} |
1
Suppose 4*i - 13 = -5. Suppose 15 = 5*n - 2*k, i*k = -6*n + 3*n + 9. Suppose u - 5*u = -6*u. Solve u = -z - 0 + n for z.
3
Let s(h) = -7*h + 38. Suppose p = 16*p - 75. Let i be s(p). Solve 0*w + 15 = i*w for w.
5
Suppose 24 = -r - r. Let u = -12 - r. Let p = -11 + 15. Solve -p*y + 8 + 8 = u for y.
4
Suppose -3*l + 221 = -4*m, l - m = 23 + 49. Let i = l - 54. Solve 3*s + 4 = i for s.
3
Let z(i) = -i**3 - 4*i**2 + 7*i + 12. Let f be z(-5). Suppose -4*c + 2*o - 4 = 0, -2*o + 0*o = -f*c - 4. Solve r + 4*r = c for r.
0
Suppose -6 = -13*q + 14*q. Let v(c) = -c**2 - 6*c - 2. Let y be v(q). Let s be (y/(-3))/(1/9). Solve s*b - b = -15 for b.
-3
Let q(x) = -x. Let j be q(-4). Suppose -3*c = w - 8, j - 16 = -4*w - 2*c. Solve 0 = -h + w for h.
2
Let p(l) = 6*l**3 - l**2 - l + 1. Let g = 2 + 2. Suppose -g*w + 23 = 19. Let n be p(w). Solve -3*r + n*r + 6 = 0 for r.
-3
Let t(n) = -2*n. Let c be t(-2). Suppose 5*m + c = 39. Let z be 1 + -2 + (m - 4). Solve z*g - 1 = 7 for g.
4
Suppose 0 = 4*q - 122 - 70. Suppose -5*u + u = -q. Solve 3*z + z = u for z.
3
Suppose 2*x + 3 = 17. Suppose -x*h + 4 = -5*h. Let b = h + 1. Solve b*l - 1 = -4 for l.
-1
Let t be (-8)/(-5) + 2/5. Suppose -11 - 4 = -3*h. Suppose 3*k - 3*f + 2 = -1, -2*k = -h*f + 11. Solve -t*b = -0*b + k for b.
-1
Suppose -10*q + 13*q + 5*y - 27 = 0, q = 4*y - 8. Suppose 5*d = -5*h + 3*h + 12, -3 = -3*d + 3*h. Suppose -v = d*v - 9. Solve -3*z = -q*z - v for z.
-3
Let m be (8/(-10))/(2/(-5)). Suppose -9*f - 7*f = -80. Solve m*c = 3*c - f for c.
5
Suppose -m - 4 = 6. Let f = 12 + m. Suppose f*s = 1 + 7. Solve 3*n - 1 = -s for n.
-1
Let k be 1 - -1 - (-18)/9. Let l = 14 - k. Solve c + c + l = 0 for c.
-5
Let c = -13 - -28. Suppose -3*h - c = 0, n - 20 = 6*n + 5*h. Suppose n = -2*r + 5. Solve -r*s - 5 = 5 for s.
-5
Suppose 2*s + 29 = 15. Let v(o) = o**2 + 7*o + 3. Let q be v(s). Solve -q*w + 2 = -7 for w.
3
Let y(z) = 14*z - 70. Let m be y(6). Solve 0 + m = -14*q for q.
-1
Let o = 183 - 179. Solve -4*b + 12 - o = 0 for b.
2
Let o be (-70)/28 - 148/(-8). Solve o*k - 11 = 5*k for k.
1
Suppose 4*n + 5*p + 0 - 1 = 0, -2*n = 5*p + 7. Suppose -n*g - 29 = 5*u, -3*u - 21 = 5*g + 12. Let y = g - -9. Solve -3 = y*t - 0*t for t.
-1
Let l = -17 + 21. Suppose -4*o - 5*i = -22 + 2, 0 = -l*i + 16. Solve o*v - 2*v + 6 = 0 for v.
3
Suppose 0 = -3*y - 5*a - 3 + 29, 0 = -2*y - 5*a + 24. Suppose -7*k = -3*k + 12, -y*m - 3*k = 5. Solve m*t - 2 = t for t.
2
Suppose 5*w = -0*w. Let z be (2 + -11)/(-3) - w. Suppose 0 = -9*p + 7*p. Solve -z*r + p*r = -9 for r.
3
Suppose 390 = 9*w + 318. Solve 2 = -w*f + 18 for f.
2
Let t = 4 + -1. Solve 0 = 2*j + 9 - t for j.
-3
Suppose -24 - 96 = -12*r. Solve 7*l - r = 2*l for l.
2
Let y = 90 + -75. Solve y*l - 10*l + 15 = 0 for l.
-3
Let y be (-60)/(-8)*90/75. Solve 0 = y*t - 7 - 2 for t.
1
Suppose -77*x + 64*x + 78 = 0. Solve -3*r + 3 = -x for r.
3
Let n be 1 - (5 + -6) - -8. Solve n = 2*k + 3*k for k.
2
Suppose -4*h + 4*w = -12, h - 9 = -w - w. Suppose 11 = 2*c + h. Solve 2*m - c - 5 = 0 for m.
4
Suppose -q = -4*m - 13, m = -2*q + 8 - 0. Let s be 4/(-6)*(-33)/m. Let j = s - -14. Solve 2*x = 1 + j for x.
2
Let g = -131 - -135. Solve 0 = g*p - 0*p - 20 for p.
5
Let l(m) = -m**2 + 9*m + 6. Suppose 0 = -4*r + 16 + 20. Let c be l(r). Solve 2 + c = 2*k for k.
4
Let u(x) = 4*x - 42. Let o be u(11). Solve -r = o*r - 6 for r.
2
Suppose 334 - 422 = -11*z. Solve z = 4*b - 4 for b.
3
Let o = 29 - 13. Suppose -6*i = -2*i - 3*v - 4, -2*i = 2*v - 16. Let a = -8 - -11. Solve -o + i = a*p for p.
-4
Suppose 2*z = -3*g - 10, -2*z = 3*z + 25. Suppose 0*f = -2*f - 4, 73 = 5*c - 4*f. Let n = 16 - c. Solve g = n*h + 2*h for h.
0
Suppose 0 = 4*j - 7*j + 9. Suppose j*s + 84 = -4*g, -4*s - 113 = -0*s + 5*g. Let c be (s/(-20))/(4/10). Solve c*w + 0*w - 4 = 0 for w.
1
Suppose 4*x + 29 - 34 = -n, -3*n = -3*x + 15. Let g(r) = 5*r - 1. Let m be g(-1). Let q be 150/45 + x/m. Solve q*d + 6 = -0 for d.
-2
Let i(t) = -t**2 + 7*t - 2. Let q be i(6). Let b = -45 + 105. Suppose -4*h = -h - b. Solve q*w + h = -w for w.
-4
Let p(m) = -3*m + 43. Suppose -7*j = -45 - 46. Let a be p(j). Solve -6*t + a*t = 0 for t.
0
Suppose 2 = 3*y - 7. Suppose 0 = -y*r + 12*r. Suppose 0*v = 5*v. Solve v*u + 4*u = r for u.
0
Suppose -3*o + 128 = -k + 60, 2*o = -2*k + 56. Solve o = -10*n + 4*n for n.
-4
Suppose -48 = -4*r + 4*u, -25 - 7 = -3*r + 4*u. Solve r*b = -b + 85 for b.
5
Suppose 0 = -a + 4*a - 2*v + 8, 3*v - 12 = 4*a. Suppose a*o = -o. Let y be (o + -3)/(-6)*4. Solve t + t = y for t.
1
Let t be 3930/(-75) + (-4)/(-10). Let g = 52 + t. Solve g*v - 5*v = 20 for v.
-4
Suppose p - 2*a - 2 = -a, 0 = 4*a. Let r be (-120)/(-100)*1/(3/10). Suppose -i + r = p*o, -o + 3 = -2*i + 31. Solve b - i = -3*b for b.
3
Let p = 131 - 127. Solve -27 + 19 = p*f for f.
-2
Let t(d) = d**2 - 7*d + 2. Let x be t(8). Suppose -5*r = -0*r - x. Solve -u = -r + 3 for u.
-1
Let z be (-9 - -9)*((-8)/(-10))/4. Suppose 4*g - 44 = 16. Solve z = -5*y - 0 + g for y.
3
Suppose -5*y + n + 89 = 3*n, -5*y = 5*n - 95. Let s(o) = o**3 - 18*o**2 + 18*o - 16. Let k be s(y). Solve 5 = 4*i + k for i.
1
Let h be (-4)/6 - (654/18 + 0). Let c = h + 47. Let y be ((-8)/4)/((-4)/10). Solve 0 = 5*x + c + y for x.
-3
Suppose 4*f = 3*t + f + 66, 3*t + 60 = f. Let v = 5 + t. Let d be (-3)/9*(5 + v). Solve -d*r = -19 + 7 for r.
4
Suppose -3*o - 3*z + 6 = 0, -z + 17 = 64*o - 60*o. Solve -41 = o*t - 61 for t.
4
Let u = 53 - 43. Let a(k) = k - 19 - 2*k + k**2 + 21. Let v be a(0). Solve -7*y + v*y = u for y.
-2
Suppose -13*d = -3*d + 7*d. Solve 3*w + 0*w = d for w.
0
Let j = 23 - 13. Suppose -v = 3*k, -4*k + j + 0 = -2*v. Solve 4 = g + k for g.
3
Suppose 0 = -7*n + 8*n + 2*b - 2, -3*n + 7 = 5*b. Solve -11*s + 35 = -n*s for s.
5
Suppose 0 = -2*f + 5*f - 6. Let q = 7 - f. Suppose 13*a + 11975 - 12131 = 0. Solve -r - a = -q*r for r.
3
Let q(a) = 4*a - 32. Let m(u) = 3*u - 21. Let d(v) = 7*m(v) - 5*q(v). Let g be d(-11). Solve 0 = g*t - 3 - 3 for t.
3
Let v(p) = p + 21. Let c be v(-17). Suppose -3*x - c = n, n - 8 = -2*x + 3*n. Solve 0 = -x*u - 4*u for u.
0
Let z(v) = v**3 + 3*v**2 - 4*v - 5. Let j be z(-3). Solve -j = -2*l - 9 for l.
-1
Let w = 40 - 24. Suppose 0 = m + 4*y - w, -2*y - 58 = -4*m - m. Let s be m/36*(-15)/(-1). Solve -s*u = -0*u + 10 for u.
-2
Suppose 4*t - t = 21. Let l be 6*t/(28/24). Let a be (l/(-21))/(2/(-7)). Solve -a*j = -2*j for j.
0
Let b = -23 - -29. Suppose 12 = -0*c + b*c. Solve -c*t + 7*t = -10 for t.
-2
Let b(i) = -i**2 - 4*i. Let t be b(-2). Suppose 0 = 4*z - 20, l - t*z + 14 = -0*l. Solve 3*g = 6 + l for g.
4
Suppose 2*q = -0*q + 4*n - 20, -10 = 4*q - 2*n. Suppose q = -0*r - 4*r. Solve -3*k + 12 = -r for k.
4
Let o be 9 + -2 + 1 - 2. Solve 9*b = 12*b - o for b.
2
Let o be ((-65)/(-39))/((-10)/(-12)). Suppose -7*l = -2*l - 85. Let c = l - 11. Solve -c = 4*f - o*f for f.
-3
Let r be (-30)/(-9)*(-6)/(-5). Solve -5*c = -4*c + r for c.
-4
Let m be 5 + (-4 - (-5 + (4 - 1))). Suppose 35 = m*n - 6*s + s, 5*n = 5*s + 45. Solve -2 = n*p + 3 for p.
-1
Let g = 8 + -6. Let l = -237 + 252. Solve f = -g*f - l for f.
-5
Suppose 28*w = 8*w + 400. Solve -4*q + 0*q - w = 0 for q.
-5
Let i(m) = -m**3 + 8*m**2 + m + 31. Let z be i(8). Solve -5*t - z + 14 = 0 for t.
-5
Let i(k) = -k**2 + 9*k - 14. Let g be i(7). Suppose g = -4*c + 7*c. Solve c*n = -n for n.
0
Let p = -31 - -33. Suppose a = p*a - 4. Solve v = -0*v - a for v.
-4
Suppose 0 = 5*t - t. Let a be (2 + (-4)/4)*3. Suppose b - 4*h = -2*h + 23, 2*h - 29 = -a*b. Solve t = -5*d + b + 2 for d.
3
Suppose 44 = l - 0. Let p be ((-6)/(-8))/(3 - l/16). Solve -p*n = -8 - 1 for n.
3
Suppose -5*h + 30 = d, 9*d - 4*d - 12 = -2*h. Suppose 5*x - 4*v = h + 14, 3*v - 8 = -2*x. Solve p = -p + x for p.
2
Suppose -6 = f - 4*f. Suppose 4*g = 5*m + 26, 0 = -4*g - f*m + 16 - 4. Suppose 5*y - 6 = g. Solve 3*u = y + 1 for u.
1
Let o(s) = -2*s - 2. Let t be o(-2). Suppose 5*p - 38*n - 85 = -33*n, 0 = -p - 2*n + 8. Solve -4*h - t = -p for h.
3
Suppose -11 = 9*u - 65. Let g = -15 - -12. Let z = g + u. Solve -z*h + 8 - 2 = 0 for h.
2
Let z(n) = -n**2 - 11*n + 33. Suppose -3*w - 2*k - 75 = 2*w, -w - 8 = -k. Let c be z(w). Solve -c*y - 20 = -3*y for y.
-5
Suppose -137*m = -162*m + 525. Solve 5*q + m = -2*q for q.
-3
Let t be ((-6)/(-9) - (-4)/(-6))*-1. Suppose 21 + 30 = | {
"pile_set_name": "DM Mathematics"
} |
/z)))/z)/(z/z**(-2/5)*(z/(z*z**(3/5)*z*z))/z) assuming z is positive.
z
Simplify i*i**(-18)*i/i**(2/53) assuming i is positive.
i**(-850/53)
Simplify (h**(-2/9)/h*h*(h**(2/3)/h)/h)/(h**0)**20 assuming h is positive.
h**(-14/9)
Simplify y**(-1)/(y/((y/(y**(11/3)/y))/y)*y) assuming y is positive.
y**(-17/3)
Simplify n/((n*n**(-17))/n)*n**(-3/10)/n*n assuming n is positive.
n**(177/10)
Simplify (g**(-2/3)/g*g/(g/(((g/g**(1/3))/g)/g)*g*g)*g*g)/((g*g*(g/((g/g**(2/17))/g))/g*g)/(g*g/g**4)) assuming g is positive.
g**(-138/17)
Simplify j*j/j**(-10)*j*j*j/(j*j*j/j**(1/5)*j) assuming j is positive.
j**(56/5)
Simplify (((v/v**3)/v)**(-16/5))**(3/2) assuming v is positive.
v**(72/5)
Simplify ((w**(2/7)*w)**(2/3))**(-1/4) assuming w is positive.
w**(-3/14)
Simplify h**(1/21)*h**(-19) assuming h is positive.
h**(-398/21)
Simplify (t*t*t**(2/9)*t*t)**0/(t**(-7)*t**(-2)) assuming t is positive.
t**9
Simplify o**(-1/2)*o/(o**(-19)*o) assuming o is positive.
o**(37/2)
Simplify (y*(y**(-1)*y*y)/y)**(-1/30)/((y*y**(-4))/y*(y*y*y*y*y**(2/9))/y) assuming y is positive.
y**(67/90)
Simplify ((q**(-3)*q)/q**(-8))/(q**3/q)**(3/5) assuming q is positive.
q**(24/5)
Simplify (u**(-7)/u)**32 assuming u is positive.
u**(-256)
Simplify ((m*m/(m/(m*m*m*m**0*m))*m)**(-2/73))**0 assuming m is positive.
1
Simplify (o**(-3)*o*o**(-10))**(10/7) assuming o is positive.
o**(-120/7)
Simplify h**22*h**(3/11) assuming h is positive.
h**(245/11)
Simplify b/b**33*b/(b*b**(-17)*b) assuming b is positive.
b**(-16)
Simplify h**(-38)*h*h/h**6 assuming h is positive.
h**(-42)
Simplify (l*l/l**(-2)*l*l)**(-2/141)/(l/((l*l**(1/5))/l)*l/(l**(2/7)/l)) assuming l is positive.
l**(-4276/1645)
Simplify (d**13/d**(-16))**(-8/9) assuming d is positive.
d**(-232/9)
Simplify (s*s/(s*s/s**(-8)))/(s**(-2)/s)*(s**(-3/5))**45 assuming s is positive.
s**(-32)
Simplify y**(-5)/(y/(y/(y**(1/5)/y*y*y)))*(y/((y*y**8)/y))/(y**(3/10)*y) assuming y is positive.
y**(-29/2)
Simplify (z/(z**(-6/13)*z))/((z/z**2)/z)*z/(z**3/z)*z**1 assuming z is positive.
z**(32/13)
Simplify (o**4/o*o*o/(o*o*o**(-2/5)*o*o)*o)/(o**2/o*o**(-2/9)) assuming o is positive.
o**(73/45)
Simplify (a/((a*a**(1/5))/a))/(a/a**(-3))*a**(-2)/(a/(a*a**(-7))) assuming a is positive.
a**(-61/5)
Simplify (c**(-3/2)*c*c**(-2/17))/((c*(c*c**1/c*c)/c)/c**5) assuming c is positive.
c**(81/34)
Simplify (j**0/(j/j**15))**(-25) assuming j is positive.
j**(-350)
Simplify (t/t**(1/9)*t)/t**(3/11) assuming t is positive.
t**(160/99)
Simplify (b**(8/7)/(((b*b**0)/b*b)/b*b))/(b**(1/3))**(-1) assuming b is positive.
b**(10/21)
Simplify ((p*p**12/p)/((p**(-3/4)*p)/p))**(-15/4) assuming p is positive.
p**(-765/16)
Simplify (g**(2/7)*g*g**(-4))/((g/(g/((g*g/(g*g/(g**(-2/3)/g)*g*g))/g)))/(g/(g*g/((g**(-9)*g)/g*g)))) assuming g is positive.
g**(-148/21)
Simplify (j**(3/4)*j)/(j*j/(j*j**22)) assuming j is positive.
j**(91/4)
Simplify z**15*z**(-2) assuming z is positive.
z**13
Simplify (i**(-2/3)/(i/(i**(-5)/i*i)))/((i**(2/21)/i)/(((i*i**0*i)/i)/i)) assuming i is positive.
i**(-121/21)
Simplify (v/((v/(v/v**(-1/9)))/v))/(v*v**(-16)*v) assuming v is positive.
v**(145/9)
Simplify ((l*l**(-25)*l)/l)**(3/8) assuming l is positive.
l**(-9)
Simplify (y*y*y**8)/y**(8/7) assuming y is positive.
y**(62/7)
Simplify ((l**(17/6)/l)/l)/l*(((l*(l*l**16)/l*l)/l)/l)/l assuming l is positive.
l**(89/6)
Simplify r**1/r*r/(r/(r/(r/(r**(5/3)*r*r)))*r)*r**(2/23)*r**(-3) assuming r is positive.
r**(-17/69)
Simplify (c**(2/7))**(-1/6)*c*c**(-2/23)/c*c*c*c*c*c**(-5) assuming c is positive.
c**(-548/483)
Simplify l**(3/4)*l*l**(-2/17)*(l*l**2)/l*l/(l/(l*l**(-3/5))*l*l) assuming l is positive.
l**(691/340)
Simplify l**8/l*l**11/l assuming l is positive.
l**17
Simplify b/((b/(b*b**(4/11)/b*b))/b)*b*b**(3/7) assuming b is positive.
b**(292/77)
Simplify (t/(t**(-1/4)*t))/(t/(((t/t**(-6/7))/t)/t)) assuming t is positive.
t**(-25/28)
Simplify z**41/z**(-1/16) assuming z is positive.
z**(657/16)
Simplify ((c*c**(-3))**(-1/8))**(-9/4) assuming c is positive.
c**(-9/16)
Simplify ((g/(g/g**33))/g)/(g*g**(-30)*g) assuming g is positive.
g**60
Simplify c/(c/(c*c*c**44))*c*c*c*c**(-36) assuming c is positive.
c**13
Simplify s**(-28)*s*s**9 assuming s is positive.
s**(-18)
Simplify (k*(((k/((k/(k**31/k*k)*k)/k*k))/k)/k)/k)**(-1/6) assuming k is positive.
k**(-14/3)
Simplify (b/b**(-13)*b*b)/((b/(b/(b*b**(2/53))))/b) assuming b is positive.
b**(846/53)
Simplify ((s**7)**(-27))**30 assuming s is positive.
s**(-5670)
Simplify (r**(2/13)*r**4*r)**48 assuming r is positive.
r**(3216/13)
Simplify o*(((o*o/o**(-1/6))/o)/o)/o*o*o/(o**(-1/12)*o) assuming o is positive.
o**(5/4)
Simplify (((s/s**(-5/4))/s)/s)**(-26) assuming s is positive.
s**(-13/2)
Simplify s**(-1)*(s**(5/3)/s)/s*(s*s**1*s)**(1/6) assuming s is positive.
s**(-5/6)
Simplify ((x/(x*x**6/x))/x**(2/7))/(x**3*x**(-4/7)) assuming x is positive.
x**(-54/7)
Simplify w/(w**17*w*w)*w*w/w**(-6/23) assuming w is positive.
w**(-362/23)
Simplify q**(-5/7)/((q/(q*(q*(q**24*q)/q*q)/q*q))/q) assuming q is positive.
q**(184/7)
Simplify (o*o**(-3))**46 assuming o is positive.
o**(-92)
Simplify ((g**0)**(-2/15))**25 assuming g is positive.
1
Simplify a/(a*a**17)*a*a**(-2) assuming a is positive.
a**(-18)
Simplify (n**(-2/5)*n)**(-7)*(n**(-2/11)*n)/n**9 assuming n is positive.
n**(-681/55)
Simplify (d**(-1)/d)**6*(d/d**(-2/21))/d*d/(d*d**(-1)) assuming d is positive.
d**(-229/21)
Simplify ((t/t**(-2/5))/t)**(-14)*(t**(-1))**37 assuming t is positive.
t**(-213/5)
Simplify ((c*c/c**(1/2)*c)/c*c*c)**36/(c**(1/5)*c*c**3) assuming c is positive.
c**(609/5)
Simplify (c/(c*c/(c*((c**(-1/32)*c)/c)/c)))/c**(-7) assuming c is positive.
c**(191/32)
Simplify ((p**(-4)*p)/p)/((p/(p/(p**(-4)/p)))/p)*p/p**(-2)*p**(2/5) assuming p is positive.
p**(27/5)
Simplify s**8/(s/(s/s**(2/15))) assuming s is positive.
s**(118/15)
Simplify d**2/(d/(d/d**(-2/9)))*d/(d*d/(d/(d*(d/d**(2/9))/d*d)*d)*d*d)*(d*d*d**(-1/2))/d assuming d is positive.
d**(-1/18)
Simplify (w**(1/5)/(w**(2/7)*w))/(w**0*w/w**6) assuming w is positive.
w**(137/35)
Simplify (l*l*l/(l/l**(-4)))/l*l*l**(2/3)*l/l**(-1/6)*l**1/l assuming l is positive.
l**(-1/6)
Simplify (((f**(-4)/f)/f)**(-25/2))**(-42) assuming f is positive.
f**(-3150)
Simplify (w**(1/3)*w**7)/(w*w**(-3/5)/w)**(-35) assuming w is positive.
w**(-41/3)
Simplify ((v/v**(2/9))/v)**37 assuming v is positive.
v**(-74/9)
Simplify q**(1/6)/((q/q**(-1))/q) assuming q is positive.
q**(-5/6)
Simplify (l*l**(-1/15)*l*l)/(l*l/(l*l*l**(2/33))) assuming l is positive.
l**(494/165)
Simplify ((x/(x**8/x))**(-4))**(-38) assuming x is positive.
x**(-912)
Simplify ((a*a/((a**(-2/17)/a)/a))/a)/(a*a/(a*(a**(-8)*a*a)/a))*a**5/(a/(a/(a/(a**(-3)*a)))) assuming a is positive.
a**(-49/17)
Simplify (f*f*f**(2/11)*f*f)/(f**(3/4)*f) assuming f is positive.
f**(107/44)
Simplify (f*f**(1/17)*f*f*f)/f*f**(5/8) assuming f is positive.
f**(501/136)
Simplify (a**2)**0*a**(-2/39)*a*a**(3/2)*a assuming a is positive.
a**(269/78)
Simplify (((((m**(-2/3)*m)/m)/m)/m)/(((m*(m**3/m)/m)/m)/m))/(m/((m**(-4)*m)/m)*m*(m**(-1)/m)/m) assuming m is positive.
m**(-17/3)
Simplify m**4*m**(-1/18)*m assuming m is positive.
m**(89/18)
Simplify (t**(-1/12)*t)/(t*t*t**(2/35))*t**(2/7)*t/(t/(t*t**(-10))) assuming t is positive.
t**(-4139/420)
Simplify (x/x**(17/4)*x)/x**(-2/41) assuming x is positive.
x**(-361/164)
Simplify ((v*v**(-6))/v**(2/13))/(v**0)**1 assuming v is positive.
v**(-67/13)
Simplify v**(7/5)/(v*v/(v/(v*v**(-5/6)))) assuming v is positive.
v**(7/30)
Simplify b**(-5)/(b**6/b*b)*(b**(-1/2)/b)**(3/4) assuming b is positive.
b**(-97/8)
Simplify (k/(k**(1/16)*k))/(k**6/k) assuming k is positive.
k**(-81/16)
Simplify (x*x**(-1/5))/x**4*(x/((x**(-1)/x)/x))**8 assuming x is positive.
x**(144/5)
Simplify (d**8*d**(-5))/(d**(-1/2)/d**(-6)) assuming d is positive.
d**(-5/2)
Simplify ((q/q**(1/6))/(q*q*(q/(q*q*q**4*q))/q))**(13/3) assuming q is positive.
q**(455/18)
Simplify (s**7/s)**(2/19) assuming s is positive.
s**(12/19)
Simplify (v**(-4/3)*v**(-2/9))/(v**(-2/13)/(v**(-1)/v*v)) assuming v is positive.
v**(-281/117)
Simplify y**(-28)/(y/(y**28*y)*y) assuming y is positive.
1/y
Simplify p**(2/7)*p/(p**(-1/3)/p)*p**(-6)/(p/(p/p**(3/8)*p)*p) assuming p is positive.
p**(-631/168)
Simplify (k/k**(-16))**0 assu | {
"pile_set_name": "DM Mathematics"
} |
of 11619 to the nearest integer?
108
What is the eighth root of 2990 to the nearest integer?
3
What is the square root of 3480 to the nearest integer?
59
What is 5089 to the power of 1/3, to the nearest integer?
17
What is 598 to the power of 1/2, to the nearest integer?
24
What is 65011 to the power of 1/3, to the nearest integer?
40
What is the cube root of 497 to the nearest integer?
8
What is 2753 to the power of 1/2, to the nearest integer?
52
What is the third root of 5406 to the nearest integer?
18
What is 556 to the power of 1/3, to the nearest integer?
8
What is 148020 to the power of 1/3, to the nearest integer?
53
What is the square root of 1065 to the nearest integer?
33
What is 17251 to the power of 1/4, to the nearest integer?
11
What is the square root of 30435 to the nearest integer?
174
What is the square root of 94680 to the nearest integer?
308
What is the tenth root of 123105 to the nearest integer?
3
What is 1182 to the power of 1/3, to the nearest integer?
11
What is 10959 to the power of 1/3, to the nearest integer?
22
What is the seventh root of 1047 to the nearest integer?
3
What is 7783 to the power of 1/4, to the nearest integer?
9
What is the third root of 50790 to the nearest integer?
37
What is 168 to the power of 1/2, to the nearest integer?
13
What is 64939 to the power of 1/2, to the nearest integer?
255
What is the cube root of 1931 to the nearest integer?
12
What is the sixth root of 1120 to the nearest integer?
3
What is 42432 to the power of 1/4, to the nearest integer?
14
What is the cube root of 706 to the nearest integer?
9
What is 921 to the power of 1/2, to the nearest integer?
30
What is 45835 to the power of 1/2, to the nearest integer?
214
What is 61648 to the power of 1/3, to the nearest integer?
40
What is the square root of 10844 to the nearest integer?
104
What is 10532 to the power of 1/2, to the nearest integer?
103
What is the sixth root of 4380 to the nearest integer?
4
What is 47 to the power of 1/10, to the nearest integer?
1
What is the cube root of 10886 to the nearest integer?
22
What is 9842 to the power of 1/3, to the nearest integer?
21
What is the square root of 29574 to the nearest integer?
172
What is the third root of 88859 to the nearest integer?
45
What is 5626 to the power of 1/8, to the nearest integer?
3
What is 3069 to the power of 1/2, to the nearest integer?
55
What is 10673 to the power of 1/2, to the nearest integer?
103
What is 22149 to the power of 1/10, to the nearest integer?
3
What is 3012 to the power of 1/7, to the nearest integer?
3
What is the tenth root of 429 to the nearest integer?
2
What is the fifth root of 1687 to the nearest integer?
4
What is 787 to the power of 1/3, to the nearest integer?
9
What is 4157 to the power of 1/9, to the nearest integer?
3
What is 2952 to the power of 1/3, to the nearest integer?
14
What is the third root of 511 to the nearest integer?
8
What is the third root of 4358 to the nearest integer?
16
What is 23557 to the power of 1/8, to the nearest integer?
4
What is the cube root of 20288 to the nearest integer?
27
What is the square root of 3239 to the nearest integer?
57
What is 1675 to the power of 1/7, to the nearest integer?
3
What is the square root of 4930 to the nearest integer?
70
What is the cube root of 4315 to the nearest integer?
16
What is 1420 to the power of 1/10, to the nearest integer?
2
What is the seventh root of 3125 to the nearest integer?
3
What is 3459 to the power of 1/8, to the nearest integer?
3
What is the square root of 6747 to the nearest integer?
82
What is the square root of 594 to the nearest integer?
24
What is 10756 to the power of 1/2, to the nearest integer?
104
What is 1522 to the power of 1/8, to the nearest integer?
2
What is the square root of 17915 to the nearest integer?
134
What is the cube root of 11510 to the nearest integer?
23
What is the fourth root of 40544 to the nearest integer?
14
What is 23580 to the power of 1/3, to the nearest integer?
29
What is 58 to the power of 1/3, to the nearest integer?
4
What is the cube root of 41627 to the nearest integer?
35
What is the square root of 103882 to the nearest integer?
322
What is 4650 to the power of 1/2, to the nearest integer?
68
What is the eighth root of 1328 to the nearest integer?
2
What is the square root of 93158 to the nearest integer?
305
What is the cube root of 169017 to the nearest integer?
55
What is 16651 to the power of 1/3, to the nearest integer?
26
What is the square root of 79920 to the nearest integer?
283
What is 328 to the power of 1/3, to the nearest integer?
7
What is the square root of 217 to the nearest integer?
15
What is the third root of 3935 to the nearest integer?
16
What is the cube root of 115062 to the nearest integer?
49
What is the square root of 1203 to the nearest integer?
35
What is the ninth root of 6975 to the nearest integer?
3
What is 1722 to the power of 1/2, to the nearest integer?
41
What is 1545 to the power of 1/2, to the nearest integer?
39
What is the cube root of 1150 to the nearest integer?
10
What is 49029 to the power of 1/8, to the nearest integer?
4
What is 52221 to the power of 1/2, to the nearest integer?
229
What is the square root of 14976 to the nearest integer?
122
What is 53465 to the power of 1/9, to the nearest integer?
3
What is 1923 to the power of 1/2, to the nearest integer?
44
What is the cube root of 1008 to the nearest integer?
10
What is the cube root of 7215 to the nearest integer?
19
What is 2310 to the power of 1/8, to the nearest integer?
3
What is 877 to the power of 1/6, to the nearest integer?
3
What is the cube root of 30133 to the nearest integer?
31
What is 9322 to the power of 1/2, to the nearest integer?
97
What is the cube root of 216 to the nearest integer?
6
What is the cube root of 50288 to the nearest integer?
37
What is 3940 to the power of 1/7, to the nearest integer?
3
What is the ninth root of 834 to the nearest integer?
2
What is the tenth root of 29950 to the nearest integer?
3
What is the cube root of 16323 to the nearest integer?
25
What is 1420 to the power of 1/2, to the nearest integer?
38
What is the ninth root of 94 to the nearest integer?
2
What is the square root of 62463 to the nearest integer?
250
What is the cube root of 23961 to the nearest integer?
29
What is the third root of 1317 to the nearest integer?
11
What is 3690 to the power of 1/2, to the nearest integer?
61
What is the sixth root of 743 to the nearest integer?
3
What is the ninth root of 6145 to the nearest integer?
3
What is 3917 to the power of 1/2, to the nearest integer?
63
What is 10 to the power of 1/2, to the nearest integer?
3
What is the fourth root of 1783 to the nearest integer?
6
What is 3100 to the power of 1/2, to the nearest integer?
56
What is 3693 to the power of 1/4, to the nearest integer?
8
What is 1435 to the power of 1/10, to the nearest integer?
2
What is 3744 to the power of 1/2, to the nearest integer?
61
What is 69366 to the power of 1/10, to the nearest integer?
3
What is 616 to the power of 1/7, to the nearest integer?
3
What is the square root of 12328 to the nearest integer?
111
What is the square root of 4684 to the nearest integer?
68
What is the square root of 710 to the nearest integer?
27
What is 662 to the power of 1/4, to the nearest integer?
5
What is the third root of 4626 to the nearest integer?
17
What is the tenth root of 133 to the nearest integer?
2
What is 18585 to the power of 1/2, to the nearest integer?
136
What is the third root of 1148 to the nearest integer?
10
What is the third root of 3103 to the nearest integer?
15
What is 578 to the power of 1/2, to the nearest integer?
24
What is the eighth root of 898 to the nearest integer?
2
What is 4993 to the power of 1/2, to the nearest integer?
71
What is 2267 to the power of 1/3, to the nearest integer?
13
What is 27522 to the power of 1/2, to the nearest integer?
166
What is the square root of 4157 to the nearest integer?
64
What is 4352 to the power of 1/2, to the nearest integer?
66
What is 568 to the power of 1/3, to the nearest integer?
8
What is the eighth root of 2010 to the nearest integer?
3
What is the fourth root of 64951 to the nearest integer?
16
W | {
"pile_set_name": "DM Mathematics"
} |
v(p) = 149*p - 4032. Determine v(27).
-9
Let c(m) = m**2 - 35*m - 163. Determine c(-6).
83
Let w(g) = g**2 - 34*g - 92. Give w(-7).
195
Let d(h) = -2*h**2 - 1413*h - 5637. Calculate d(-4).
-17
Let v(m) = -2*m**3 - 93*m**2 + 20*m - 1263. Give v(-47).
6
Let f(w) = 19*w - 22. Give f(0).
-22
Let t(j) = -2*j**2 - 42*j - 208. Determine t(-9).
8
Let k(h) = -18*h**2 - 252*h - 1. Determine k(-14).
-1
Let z(t) = -22*t**2 + 100*t + 521. Give z(-5).
-529
Let n(p) = p**2 + 8*p - 236. Determine n(-23).
109
Let g(q) = q**2 + 33*q - 101. What is g(7)?
179
Let r(n) = 59*n + 11389. What is r(-193)?
2
Let w(t) = -t**2 - 16*t + 286. What is w(-27)?
-11
Let x(f) = 5*f**2 + 111*f + 24. Calculate x(-22).
2
Let h(g) = -708*g + 15489. Determine h(22).
-87
Let i(l) = 1107*l + 15485. What is i(-14)?
-13
Let y(w) = 157*w + 7666. Calculate y(-49).
-27
Let v(y) = y**3 + y**2 + y + 39. What is v(-4)?
-13
Let o(n) = -39*n + 1140. Determine o(29).
9
Let v(j) = 3*j**3 + 9*j**2 - 11*j - 42. Calculate v(-4).
-46
Let s(n) = 181*n + 10306. Give s(-57).
-11
Let y(q) = 4*q**2 + 541*q + 697. Give y(-134).
27
Let k(j) = j**2 + 13*j + 33. Give k(-7).
-9
Let x(s) = -195*s + 487. What is x(3)?
-98
Let x(h) = -h**2 - 27*h - 26. What is x(-24)?
46
Let w(m) = -m**2 - 9*m + 81. Determine w(-15).
-9
Let r(t) = -13*t**2 - 70*t - 4. What is r(-5)?
21
Let f(m) = -m**2 + 544*m + 2188. Determine f(-4).
-4
Let u(v) = 890*v - 139728. What is u(157)?
2
Let d(q) = q**3 - 10*q**2 + 24*q - 53. Determine d(8).
11
Let k(v) = -2390*v + 4779. Determine k(2).
-1
Let i(o) = o**3 - 6*o**2 - 11*o + 28. Calculate i(6).
-38
Let f(k) = 15*k**2 - 15*k - 627. Determine f(7).
3
Let b(s) = -35*s**2 - 170*s + 43. Calculate b(-5).
18
Let y(k) = -k**2 - 25*k + 1728. Calculate y(-56).
-8
Let j(t) = -37*t**3 + 4*t**2 - 6*t + 4. Determine j(2).
-288
Let g(o) = o**3 - 8*o**2 + 21*o - 5. Determine g(6).
49
Let b(d) = -d**3 - 75*d**2 + 90*d + 587. What is b(-76)?
-477
Let p(r) = -3*r**2 - 38*r + 73. What is p(-15)?
-32
Let d(q) = 44*q + 154. Calculate d(-4).
-22
Let v(g) = -101*g**2 - 653*g - 291. Determine v(-6).
-9
Let g(a) = 5*a**2 + 51*a + 31. Determine g(-8).
-57
Let q(v) = 53*v - 7180. Determine q(135).
-25
Let q(y) = y**3 + 4*y**2 + y + 9. Determine q(-4).
5
Let k(z) = z**2 + 89*z - 11589. Determine k(72).
3
Let r(z) = -z**2 + 34*z - 61. Calculate r(29).
84
Let t(a) = 113*a**2 - 145*a - 147. Give t(-1).
111
Let z(w) = -4*w**3 + 58*w**2 + 100*w - 82. Give z(16).
-18
Let h(p) = -2*p**2 + 53*p + 541. What is h(35)?
-54
Let u(i) = 82*i + 72. Determine u(-1).
-10
Let g(r) = r**2 + 40*r + 189. What is g(-10)?
-111
Let m(q) = -13*q + 64. Determine m(4).
12
Let s(c) = -4*c**3 - 16*c. What is s(4)?
-320
Let d(m) = -m**3 - 5*m**2 + 10*m - 13. Calculate d(-7).
15
Let y(k) = -133*k**2 + 8*k + 9. Determine y(-1).
-132
Let u(c) = 8*c**2 + 252*c + 578. Give u(-29).
-2
Let h(q) = q**3 - 18*q**2 - 17*q - 46. Give h(19).
-8
Let v(m) = -4*m + 36. Determine v(10).
-4
Let i(o) = -36*o**2 + 293*o + 286. Calculate i(9).
7
Let t(u) = 204*u + 800. Determine t(-4).
-16
Let o(r) = 157*r + 1722. What is o(-11)?
-5
Let s(b) = 6*b - 88. Determine s(7).
-46
Let a(l) = -2*l**3 + 23*l**2 + 10*l + 11. Give a(12).
-13
Let y(d) = 59*d + 939. Give y(-15).
54
Let t(h) = 6*h**2 + 22*h + 7. Determine t(-3).
-5
Let c(a) = -6*a**2 + 192*a + 41. Determine c(32).
41
Let c(y) = 399*y + 1589. What is c(-4)?
-7
Let x(l) = 28*l - 209. Calculate x(6).
-41
Let s(g) = 12*g**2 - 12*g + 9. Determine s(1).
9
Let d(f) = -f**3 + 153*f**2 + 955*f - 150. Calculate d(159).
9
Let b(d) = -5292*d - 47627. Determine b(-9).
1
Let h(u) = -8*u**3 - 2*u**2 + 3*u - 2. Determine h(1).
-9
Let h(f) = -f**3 + 3*f**2 + 100*f - 475. Calculate h(8).
5
Let z(n) = -7*n - 101. Determine z(-17).
18
Let v(b) = -7*b**2 + 41*b + 49. Determine v(9).
-149
Let c(m) = 3*m**3 - 3*m**2 - 8*m + 10. Determine c(-3).
-74
Let s(r) = -r**3 + 19*r**2 - 20*r + 25. Calculate s(19).
-355
Let q(a) = a**2 - 13*a - 7. Give q(0).
-7
Let p(t) = -t**3 - t**2 + 10*t + 17. What is p(-5)?
67
Let z(b) = -18*b**2 - 8*b + 1. What is z(5)?
-489
Let j(b) = 149*b + 1575. Determine j(-11).
-64
Let m(l) = 27*l**3 + 8*l**2 + l - 1. Calculate m(-1).
-21
Let q(v) = 4261*v + 4263. Give q(-1).
2
Let w(h) = -18*h + 129. Give w(7).
3
Let b(s) = -25*s**2 - 174*s + 7. Give b(-7).
0
Let x(h) = 15*h**2 - 1863*h + 374. Give x(124).
2
Let u(p) = -2*p**2 + 12*p + 30. Give u(10).
-50
Let a(y) = -5*y**3 + 40*y**2 + 40*y - 8. What is a(9)?
-53
Let h(a) = a**2 + 57*a + 816. Give h(-18).
114
Let g(q) = 1338*q + 5362. What is g(-4)?
10
Let o(n) = 7102*n - 28423. Determine o(4).
-15
Let d(v) = v**3 - 48*v**2 - 38*v - 385. Determine d(49).
154
Let m(f) = f**3 - 17*f**2 + 55*f - 28. Give m(5).
-53
Let p(g) = 20*g - 181. What is p(10)?
19
Let l(i) = 221*i - 236. Determine l(3).
427
Let h(l) = -18*l**2 - 53*l + 96. Give h(2).
-82
Let h(s) = -s**3 + 20*s**2 - 59*s + 132. Give h(17).
-4
Let d(g) = -617*g - 4324. Give d(-7).
-5
Let o(a) = -a**3 - 23*a**2 - 41*a - 38. Determine o(-21).
-59
Let r(b) = -b**3 + 8*b**2 + 64*b + 2. Calculate r(13).
-11
Let f(t) = 3*t**3 + 7*t**2 - t - 12. Determine f(-2).
-6
Let q(g) = -2*g**2 - 176*g - 2088. Give q(-74).
-16
Let m(r) = -r**3 + 23*r**2 - 95*r + 362. Calculate m(19).
1
Let h(i) = 2*i**2 - 598*i + 43997. Determine h(131).
-19
Let c(z) = -z**2 - 37*z - 338. Give c(-17).
2
Let q(r) = 257*r + 5133. Calculate q(-20).
-7
Let d(g) = 18*g**2 + 702*g + 23. What is d(-39)?
23
Let m(f) = 55*f**2 + 14*f + 5. What is m(3)?
542
Let p(o) = 4*o - 20. What is p(-21)?
-104
Let i(n) = n**3 - 95*n**2 + 96*n - 183. Give i(94).
5
Let u(m) = -4*m**2 - 14*m - 12. Determine u(-10).
-272
Let i(q) = 252*q**2 - 22683*q + 260. Calculate i(90).
-10
Let h(q) = -3*q**2 + 15*q + 24. Determine h(15).
-426
Let q(d) = -d**3 + 11*d**2 - 47*d + 24. Determine q(5).
-61
Let h(g) = 8*g**2 + 83*g + 506. Determine h(-6).
296
Let l(r) = -r**3 - 24*r**2 - 43*r + 90. Determine l(-22).
68
Let w(l) = -837*l**2 + 11*l - 11. Determine w(1).
-837
Let x(m) = -75*m - 3908. Calculate x(-52).
-8
Let l(j) = j**3 - 36*j**2 + 182*j + 13. Determine l(30).
73
Let k(q) = -33*q - 80. Give k(-4).
52
Let h(t) = 34*t**3 + t**2 - 48*t - 94. Give h(-2).
-266
Let a(p) = p**3 - 32*p**2 + 60*p - 42. Determine a(30).
-42
Let t(v) = 925*v + 1865. Give t(-2).
15
Let n(d) = d**2 - 30*d + 178. Determine n(23).
17
Let r(s) = 97*s + 186. What is r(-1)?
89
Let p(l) = -2*l**2 - 194*l - 1611. Give p(-9).
-27
Let g(b) = b**3 + 2*b**2 - 29*b - 18. What is g(5)?
12
Let y(d) = 683*d + 7509. Determine y(-11).
-4
Let y(p) = 24*p + 550. Calculate y(-26).
-74
Let c(y) = -54*y + 1345. Calculate c(26).
-59
Let z(q) = q**3 + 36*q**2 + 63*q - 2086. Determine z(-32).
-6
Let b(s) = s**2 - 59*s - 4672. Calculate b(104).
8
Let v(f) = 2*f**2 + 115*f + 268. Determine v(-58).
326
Let r(u) = 2*u**3 + 4*u**2 + 16*u + 2. Determine r(0).
2
Let g(z) = -z - 56. Give g(-13).
-43
Let g(i) = -4*i**2 + 54*i + 55. Determine g(-1).
-3
Let o(i) = -534*i - 7926. Give o(-15).
84
Let b(a) = -a**3 + 182*a**2 + 196*a - 2378. Give b(183).
1
Let m(w) = -w**3 + 30*w**2 - 118*w - 65. Determine m(25).
110
Let z(b) = b**3 + 18*b**2 + 33*b - 37. What is z(-16)?
-53
Let v(b) = 2*b**3 - 123*b**2 + 66*b - 321. Determine v(61).
-16
Let g(h) = -2*h**3 - 3*h**2 - 2*h. Give g(3).
-87
Let f(u) = 18*u - 1244. Give f(73).
70
Let u(k) = 440*k - 2993. Determine u(7).
87
Let u(a) = -160*a + 1185. Calculate u(8).
-95
Let c(a) = a**2 + 4*a - 65. Give c(16).
255
Let o(x) = x**3 + 17*x**2 + 61*x + 63. Give o(-10).
153
Let s(t) = t**3 - 69*t**2 - 287*t - 39. Calculate s(73).
326
Let h(i) = 2*i**2 - 66*i - 753. What is h(42)?
3
Let n(y) = 2*y**3 + 126*y**2 - y - 54. Determine n(-63).
9
Let w(g) = 2*g**3 - 43*g**2 - 67*g + 43. What is w(23)?
89
Let q(m) = 13*m**2 - 7*m - 49. Determine q(-8).
839
Let z(x) = -80*x - 1647. What is z(-22)?
113
Let n(g) = 40*g - 181. Calculate n(5).
19
Let o(g) = -g**2 - 49*g + 1759. Determine o(-73).
7
Let v(u) = u**3 + 4*u**2 - 9*u - 24. What is v(-4)?
12
Let n(a) = 6991*a + 13979. Calculate n(-2).
-3
Let n(p) = -p**3 - 17*p**2 + 8*p + 54. Determine n(-17).
-82
Let g(z) = 6*z**2 + 27*z + 17. Determine g(-4).
5
Let a(y) = 1081*y - 82177. Determine a(76).
-21
Let h(j) = -j**3 + 2*j**2 + 68*j - 261. Calculate h(5).
4
Let h(f | {
"pile_set_name": "DM Mathematics"
} |
- 1919*o**4 - 290*o wrt o.
10580*o**3
Find the third derivative of 2*u**4 - 3*u**3 + 2*u**3 - 12*u**4 - 39*u**4 + 37*u**2 wrt u.
-1176*u - 6
What is the derivative of -42 - 44 - 8*r + 6*r + 12 + 51*r**2 wrt r?
102*r - 2
Let z = -27 - -29. What is the first derivative of -8 + 173*c**z - 366*c**2 + 176*c**2 wrt c?
-34*c
Let i = 18 - 16. Find the third derivative of -3*h**4 + 12*h**i + h**4 + 10*h**4 + 2*h**4 wrt h.
240*h
Let z(m) be the second derivative of -3*m**5/2 - 71*m**4/12 - 23*m - 2. What is the third derivative of z(q) wrt q?
-180
Suppose 0 = 2*p - 13 - 23. Find the second derivative of p*r**2 - 44 - 42 - r + 86 wrt r.
36
Find the first derivative of -4*m + 2*m - 62 - 308*m**3 + 206*m**3 wrt m.
-306*m**2 - 2
Suppose 20 = l - 4*k - 0*k, -l - 5*k - 16 = 0. Suppose b - l = -2. Find the third derivative of -2*r**2 + 9*r**6 - 7*r**b + 0*r**6 wrt r.
1080*r**3
Let d(f) = -5 - f**4 - 2*f**4 - 39*f + 48*f. Let r(l) = -5*l**4 + 13*l - 8. Let s(k) = -8*d(k) + 5*r(k). What is the second derivative of s(n) wrt n?
-12*n**2
What is the first derivative of 62*b**4 - 175 + 95 - 23 wrt b?
248*b**3
Suppose 0 = 5*v + 20, -r - 6 = 4*v + 3. What is the third derivative of -r*z**5 - 11*z - 4*z**2 + 11*z wrt z?
-420*z**2
Let w(h) = -145*h + 127. Let m(q) = 438*q - 383. Let b(f) = 3*m(f) + 8*w(f). Find the first derivative of b(a) wrt a.
154
Let t be (-15)/((-45)/6) - (-47 + -1). What is the derivative of -11 + t - 15*s**3 + 9*s**3 - 8*s**3 wrt s?
-42*s**2
Let w = 107 - 84. What is the second derivative of 18*n - 43*n + 14*n**3 + w*n wrt n?
84*n
Let m(r) = r + 21. Let w be m(-9). Let u be -7 + (5 - 1) + w. What is the second derivative of -15*y**4 + 7*y**4 - 3*y - 4*y + u*y**4 wrt y?
12*y**2
Suppose z + 4*z - 5 = 0. Let y = 3 - z. What is the third derivative of 0*c**3 + 4*c**3 + y*c**2 + 0*c**3 wrt c?
24
Let q(m) be the second derivative of -13*m**8/28 + m**4/4 - m - 2. What is the third derivative of q(r) wrt r?
-3120*r**3
Find the first derivative of f**3 + 26 - 20*f**3 + 6 + 22 wrt f.
-57*f**2
Let z(w) be the second derivative of 11/6*w**3 - 3/2*w**5 + 0 + 0*w**4 + 0*w**2 - 16*w. Find the second derivative of z(q) wrt q.
-180*q
Find the first derivative of -262 - 206*s**3 - 112 + 116*s**3 + 7 - 3*s**2 + 20 wrt s.
-270*s**2 - 6*s
Let c = -16 - -14. Let j be c + (17/1 - 0). What is the third derivative of 3*s**2 - 28*s**6 + j*s**6 + 14*s**6 wrt s?
120*s**3
Suppose -13*h + 9*h + 8 = 0. What is the second derivative of 8*y - 53 + 18*y**h + 53 wrt y?
36
Suppose -10*u = -9*u - 3. Suppose u = 4*c - 5. What is the third derivative of -12*z**c + 2*z**2 + 172*z**5 - 161*z**5 wrt z?
660*z**2
Let n(h) be the first derivative of 16*h + 19/5*h**5 + 0*h**3 + 0*h**2 + 0*h**4 + 2. Differentiate n(v) wrt v.
76*v**3
Let r = 11 + -8. Find the second derivative of -2*y - 9*y**3 - 3*y**3 + 0*y**r wrt y.
-72*y
Suppose -16 = -3*u - u + 4*p, 0 = 2*u + 3*p - 28. What is the derivative of -36*b**2 + 6 - 19 - u - 11 wrt b?
-72*b
Let l = -2 + -6. Let w be -4*(-1)/(l/(-6)). What is the derivative of 7*b**2 + 2 - w*b**2 + 3 wrt b?
8*b
Let p be -4 - (4 + -7 + -22). Let v be (-2 - 0)*(-2 + 1). What is the derivative of 21*j - 6 + 2*j**v - p*j wrt j?
4*j
Find the third derivative of -16*d**6 + 999*d - 3*d**4 - 997*d + 6*d**2 + 20*d**2 - 4*d**3 + 3*d**4 wrt d.
-1920*d**3 - 24
Suppose q = 5*h - 2*q - 337, 4 = 4*q. What is the second derivative of -h + 68 - 10*o**3 + o wrt o?
-60*o
Let x = 5/22 + 14/11. Let n(b) be the first derivative of x*b**2 + 6 - 2*b**3 + 0*b. What is the second derivative of n(l) wrt l?
-12
Let v(q) = -q**3. Let g(x) = 6*x**3 - 26*x - 19. Let h(z) = g(z) - 6*v(z). Let o(s) be the first derivative of h(s). Find the first derivative of o(y) wrt y.
72*y
Find the third derivative of -45*y**2 + 10*y**3 - 56*y**2 - 39*y**2 + 5*y**3 + 6*y**2 wrt y.
90
Let o(r) be the third derivative of r**7/35 - r**6/30 - 26*r**3/3 - 4*r**2 + 3*r. Find the first derivative of o(u) wrt u.
24*u**3 - 12*u**2
Let u(h) = h. Let r be u(1). Let f(t) = 2*t + r - 2 + t + 2. Let v(y) = 1. Let o(a) = -f(a) - 3*v(a). Find the first derivative of o(c) wrt c.
-3
Let m = 797/2 + -394. Let p(j) be the first derivative of -5 - j + m*j**2. Find the first derivative of p(o) wrt o.
9
Let q(v) = -71*v**4 - 2*v**3 + 2*v + 53. Let f(s) = s**4 + s**3 - s + 1. Let n(p) = 2*f(p) + q(p). Differentiate n(c) wrt c.
-276*c**3
Let w = 218 + -202. Let l(c) = -c**2 - 7*c + 6. Let d be l(-7). Differentiate -w + 8 + d + 9*q**3 with respect to q.
27*q**2
Let x(a) be the first derivative of 18*a**3 - a**2 + 2*a + 158. What is the second derivative of x(r) wrt r?
108
Let o(h) = -h**2 + 3. Let q(s) = -93*s**4 - 5*s**2 + 37*s + 15. Let y(w) = 5*o(w) - q(w). Find the second derivative of y(l) wrt l.
1116*l**2
Let v(q) be the second derivative of 15*q + 11/6*q**4 + 0*q**3 + 0 + 1/2*q**2. Differentiate v(n) wrt n.
44*n
Let o(l) be the first derivative of -35*l**4/4 - 125*l - 167. Differentiate o(t) wrt t.
-105*t**2
Suppose -c = -3*q - 12, 5*c - q - 1 - 3 = 0. Let j(g) be the second derivative of -5/12*g**4 - 2*g**2 + c*g**3 + 2*g + 0. Differentiate j(i) with respect to i.
-10*i
Let q = 74 + -69. Let m(z) = 78*z**2 + 5*z + 27. Let j(i) = 39*i**2 + 3*i + 13. Let s(c) = q*j(c) - 3*m(c). Differentiate s(a) with respect to a.
-78*a
Let k(i) be the first derivative of -289*i**3/3 - 337*i + 164. What is the first derivative of k(v) wrt v?
-578*v
What is the third derivative of 247*w**2 + 282*w**5 - 116*w**5 - 16*w**2 wrt w?
9960*w**2
Differentiate 301*f**3 - 1863*f**2 + 3727*f**2 + 162*f**3 - 1862*f**2 - 293 - 325 wrt f.
1389*f**2 + 4*f
Let w(f) = -2*f**3 - 4*f**2 + 2*f - 6. Let a(l) = -2*l**3 - 5*l**2 + 4*l - 7. Let t(n) = -2*a(n) + 3*w(n). Find the second derivative of t(c) wrt c.
-12*c - 4
Let z(i) be the second derivative of 0*i**2 + 3*i + 0 - 1/4*i**5 + 5/6*i**3 + 0*i**4. Find the second derivative of z(u) wrt u.
-30*u
Let j(z) = -3*z + 1. Let x(s) = 901*s - 146. Let p(c) = 4*j(c) + x(c). Differentiate p(a) wrt a.
889
Find the third derivative of -49*y**2 + 49*y**4 - 24*y**2 - 64*y**4 - 3*y**3 + 4*y**3 wrt y.
-360*y + 6
What is the first derivative of 0*u**2 - 9*u - 1540 + 1044 + 11*u**3 + 0*u**2 wrt u?
33*u**2 - 9
Find the first derivative of 39*l**3 - 39*l**3 + 12 - 184*l**4 wrt l.
-736*l**3
Suppose -2*k = q - 9, 3*q - 3*k = 2*q + 9. What is the derivative of 1 - 2 + 5 + q + 11*d**4 wrt d?
44*d**3
Suppose 5*t + 5 = 20. Let z(m) be the first derivative of -3*m**2 + 2*m**2 - m**t - 1 + 4 + 0. What is the second derivative of z(n) wrt n?
-6
Let q be 23/1 + (-36)/12. Let r = 23 - q. What is the derivative of -3 + r - 6*g**2 - 4 wrt g?
-12*g
Suppose 23*v - 8 = 19*v. What is the second derivative of 11*o**2 - 26*o + 16*o**v + 2*o**2 wrt o?
58
What is the second derivative of s - 486*s**5 - 184 + 69 - 5*s + 6*s + 30*s**5 wrt s?
-9120*s**3
Let y(u) be the third derivative of -107*u**5/30 - 7*u**4/2 + 98*u**2. Find the second derivative of y(w) wrt w.
-428
What is the third derivative of i**2 + 106*i**5 - 25 + 12 + 129 + 25*i**5 - 24 wrt i?
7860*i**2
Let d = -11 - -3. Let t = 10 + d. Find the second derivative of -6*p**t - p**2 + 3*p**2 + 3*p + p**2 wrt p.
-6
Let g = 15 + -7. Find the third derivative of -7*i + i + g*i**3 - i**2 + 6*i wrt i.
48
Let k(j) = 3*j**3 + 14*j**2 + 7*j - 1. Let g(t) = -6*t**3 - 29*t**2 - 14*t + 2. Let v(f) = 4*g(f) + 9*k(f). What is the second derivative of v(a) wrt a?
18*a + 20
Let b(q) be the third derivative of q**8/1440 - q**6/120 - 2*q**5/15 + 14*q**2. Let s(r) be the third derivative of b(r). Differentiate s(v) wrt v.
28*v
Let m be ((-4)/6)/((-10)/(-45)) + 98. Find the second derivative of 93*v**4 - 184*v**4 + m*v**4 - 26*v wrt v.
48*v**2
Suppose p - 5 + 3 = 0. What is the second derivative of 15*z**2 + 9*z - 14*z**p - 17*z**2 wrt z?
-32
Suppose 0 = -2*y - 40 + 44. Find the second derivative of -a + 8*a - 3*a**y + 8*a - 5*a wrt a.
-6
Let t(o) = 9*o - 4. Let d be (8/16)/(2/4). Let y(j) = -1. Let k(m) = d*t(m) - 5*y(m). Find the first derivative of k(v) wrt v.
9
What is the second derivative of 3279*b**2 + 11*b - 1703*b**2 - 1709*b**2 wrt b?
-266
Let a(u) = -22*u**3 + 6*u**2 + 107*u + 5. Let b(s) = 2*s**3 - s**2 - 2*s - 1. Let n(p) = 2*a(p) + 10*b(p). What is the second derivative of n(o) wrt o?
-144*o + 4
Fi | {
"pile_set_name": "DM Mathematics"
} |
2 + 31*h.
-4979*h**2 + 25*h + 2
Collect the terms in -2*g + 1271*g**3 - 2763*g**3 + g + 1490*g**3.
-2*g**3 - g
Collect the terms in 1928187*f**2 - 302804*f**2 + 145780*f**2.
1771163*f**2
Collect the terms in 66211824*q - 33105968*q - 33105915*q.
-59*q
Collect the terms in 77366*m**2 - 4*m**3 - 77366*m**2 - 123*m**3.
-127*m**3
Collect the terms in 1225 - 2*c + 41*c - 2466 + 1240.
39*c - 1
Collect the terms in -5 + 6 + 993*h - 29 + 37 - 1016*h - 9.
-23*h
Collect the terms in 1839502*x**2 + 1838996*x**2 - 3679010*x**2.
-512*x**2
Collect the terms in 765*d**3 - 4236*d**3 + 3515*d**3.
44*d**3
Collect the terms in -19*o**2 + o**2 - 12081*o - 11989*o + 24070*o.
-18*o**2
Collect the terms in -20897*b - 947*b - 19671*b + 1785*b.
-39730*b
Collect the terms in -38084*n + 103833*n + 126135*n.
191884*n
Collect the terms in -1 - 6 - 11 + 3*n**2 + 3*n**2 - 101 + 119.
6*n**2
Collect the terms in -3522*g - 1076*g + 455*g.
-4143*g
Collect the terms in -163482*j + 97 - 97.
-163482*j
Collect the terms in -1430*t + 32*t**2 - 1147*t - 1161*t + 3738*t.
32*t**2
Collect the terms in -184 - 156 - 9*d - 179 + 4*d + 509.
-5*d - 10
Collect the terms in 21307 - 7417 + 11104 + 9848 - 3329 + 2*h.
2*h + 31513
Collect the terms in 1639*x - 6550*x + 6 + 1634*x + 1642*x - x**2 + 1635*x.
-x**2 + 6
Collect the terms in u - 9 + 3 - 13 + 5 - 1 - 1.
u - 16
Collect the terms in -3*u**2 - 3 + 1066237227*u + 3 - 1066237209*u.
-3*u**2 + 18*u
Collect the terms in 521*g**2 + 610*g**2 - 255*g**2 + 346*g**2.
1222*g**2
Collect the terms in 4780 + o - o - 9576 + 4796 - 817*o**2.
-817*o**2
Collect the terms in -337 + 1104 + 57*p + 519*p - 388 - 379.
576*p
Collect the terms in -33318 - 155*v + 125*v + 33318.
-30*v
Collect the terms in 0*y - 6*y + y + 17*y - y + 19*y + 0*y - 2.
30*y - 2
Collect the terms in 137823*x - 57859*x - 80016*x.
-52*x
Collect the terms in -1967*k**2 + k + 9*k**3 - k + 1823*k**2.
9*k**3 - 144*k**2
Collect the terms in 2 + 263*l**2 - 40967*l + 40970*l - 255*l**2.
8*l**2 + 3*l + 2
Collect the terms in -22691*v - 21843*v + 2981 + v**2 - 2981.
v**2 - 44534*v
Collect the terms in -46*r**2 + 18183*r**3 - 100*r**2 - 18182*r**3.
r**3 - 146*r**2
Collect the terms in -959*p + 80*p - 572*p + p.
-1450*p
Collect the terms in -2*j**2 - 39*j - 9*j**2 - 3*j + 154*j - 2*j**2.
-13*j**2 + 112*j
Collect the terms in -24*f**2 + 75*f**2 - 19*f**2 - 13039*f**3 + 26113*f**3 - 13075*f**3.
-f**3 + 32*f**2
Collect the terms in -3748235*s + 3748235*s - 15*s**2 - 225*s**2 - 13*s**2.
-253*s**2
Collect the terms in 991496*i**2 + 4*i - 4*i - 990529*i**2.
967*i**2
Collect the terms in 69*i - 240*i + 149*i.
-22*i
Collect the terms in -9 + 17478*u - 4 - 6 + 19.
17478*u
Collect the terms in -24*l**2 + 195*l - 198*l - 27*l**2 + 215*l**2 - 156*l**2.
8*l**2 - 3*l
Collect the terms in -99431 + 92*o - 416*o + 109*o + 128*o + 99431 + 123*o.
36*o
Collect the terms in -4 + 589*g - 4*g**3 + 1041*g - 351*g + 879*g.
-4*g**3 + 2158*g - 4
Collect the terms in 36 - 428291*l - 36.
-428291*l
Collect the terms in -1736*u**3 + 46 - 3229*u**3 + 1044*u**3 - 2395*u**3 - 2080*u**3.
-8396*u**3 + 46
Collect the terms in 12*z - 76 - 69 - 105 + 250.
12*z
Collect the terms in 136420*x**2 + 11 - 11.
136420*x**2
Collect the terms in -45 + 96*y**2 - 49 - 79 - 50 + 223.
96*y**2
Collect the terms in 28533*f + 69678*f - 12019*f + 48298*f.
134490*f
Collect the terms in -2*u**3 + 0*u**2 - 73729631*u + 0*u**2 + 73729631*u.
-2*u**3
Collect the terms in -174 + 36*h**3 + 26 + 134.
36*h**3 - 14
Collect the terms in 173 - 36 + 129 - 2*i + 27.
-2*i + 293
Collect the terms in -4148*y**3 + 3004*y**3 - 27118*y**3 + 1549*y**3.
-26713*y**3
Collect the terms in -14*a + 7*a + 8*a - 45751 + 45751 - a - 3*a**2.
-3*a**2
Collect the terms in 611*i - 191*i - 208*i - 88*i**3 - 212*i + 89*i**3.
i**3
Collect the terms in 8*a + 173493*a**3 + 214270*a**3 - 8*a.
387763*a**3
Collect the terms in -2*n**2 - 21276 - 40383*n - 21286 + 20186*n + 20197*n + 42562.
-2*n**2
Collect the terms in 2298*p**2 - 40*p**3 + 2287*p**2 + 2297*p**2 - 57*p**3 - 6882*p**2.
-97*p**3
Collect the terms in -181*p**2 - 1996*p + 3993*p - 8*p**2 - 2002*p.
-189*p**2 - 5*p
Collect the terms in 28 + 218*g + 4 - 873*g + 219*g + 222*g + 220*g.
6*g + 32
Collect the terms in 19*z + 470 + 10*z - 473 - 5*z.
24*z - 3
Collect the terms in 7 - 13 - 3 - 28*w**3 + 2 + 7.
-28*w**3
Collect the terms in -42*o**2 - 5*o**2 + 19*o**2 + 147*o**2 - 18*o**2.
101*o**2
Collect the terms in 5325 - 6400*p - 5325.
-6400*p
Collect the terms in 21 + 0*s - 545400*s**2 + 545402*s**2 + 0*s.
2*s**2 + 21
Collect the terms in -25065 + 74637 - 24766 + 6*z - 24806.
6*z
Collect the terms in 27756*c**2 + 27789*c**2 - 55398*c**2.
147*c**2
Collect the terms in -1 + 79*l - 482*l + 0 - 10.
-403*l - 11
Collect the terms in -144 - 11*a - 43*a + 41 + 56 + 43.
-54*a - 4
Collect the terms in -3266*c + 7 - 13 + 805*c + 5 + 220*c - 3535*c.
-5776*c - 1
Collect the terms in 1 - 5 + 286416762*n + 4 - 286416762*n - n**3.
-n**3
Collect the terms in 127 + 81*o - 115 + 279 + 9*o.
90*o + 291
Collect the terms in -16*q + 6*q + 11*q + 1 - q - 10852*q**3.
-10852*q**3 + 1
Collect the terms in 3 + 67458*x - 4 - 191130*x - 110094*x.
-233766*x - 1
Collect the terms in -56*m**3 + 51*m**3 - 9*m + 13*m + 60*m - 14.
-5*m**3 + 64*m - 14
Collect the terms in 39*l + 4*l**3 + 25*l - 93*l + 30*l.
4*l**3 + l
Collect the terms in -103117*n + 412465*n - 103116*n - 103112*n - 103122*n.
-2*n
Collect the terms in -o + 62 + 51 - 138 + 90 + 50 - o.
-2*o + 115
Collect the terms in 225*b**3 + 292 + 228*b**3 - 451*b**3.
2*b**3 + 292
Collect the terms in 2261 - 4695 + 3*n**2 + 2324 - 2*n**2.
n**2 - 110
Collect the terms in -111*g + 3*g - 66*g - 40 - 6*g + 40.
-180*g
Collect the terms in -15*o**3 - 6*o**3 - 12*o**3 - 35*o**3 + 38*o**3.
-30*o**3
Collect the terms in -3*p + 118*p**3 + 3*p + 427*p**3 - 550*p**3.
-5*p**3
Collect the terms in -1367*f**2 - 206 - 48 - 212 + 465.
-1367*f**2 - 1
Collect the terms in 36*y + 7*y**3 + 64*y**3 - 79*y**3 - 36*y + 5*y**3.
-3*y**3
Collect the terms in -205*n - 82 + 172 - 87.
-205*n + 3
Collect the terms in 2649*j**2 + 11*j + 18644*j**2 - 11*j.
21293*j**2
Collect the terms in 12 - 551546*d - 135314*d - 15.
-686860*d - 3
Collect the terms in -1144 - 1405 - 1160 - v + 4139.
-v + 430
Collect the terms in -27 + 15*z - 66*z - 21 + 49.
-51*z + 1
Collect the terms in -5695539*n**2 - 1 + 1.
-5695539*n**2
Collect the terms in -1050*z**3 - 1963*z - 1693*z + 3656*z.
-1050*z**3
Collect the terms in -5*y - 19*y + 2*y + 4*y**2 + 24*y - 6*y.
4*y**2 - 4*y
Collect the terms in -2*p**2 + 5*p**2 + 2*p**2 + 8080 - 24242 + 8075 + 8087.
5*p**2
Collect the terms in -4 + 5 - 152869*i**3 + 151901*i**3 - 1.
-968*i**3
Collect the terms in 8*s**2 - 52880*s + 26439*s + 3 + 26441*s.
8*s**2 + 3
Collect the terms in 67148*u - 20972*u - 23073*u - 23090*u.
13*u
Collect the terms in 32 - 788*g**3 - 94 - 14*g**2 + 62.
-788*g**3 - 14*g**2
Collect the terms in 323 - 254*n - 245*n + 508*n.
9*n + 323
Collect the terms in 1613 - 301*y**3 + 307*y**3 - 1614.
6*y**3 - 1
Collect the terms in 33693*w**3 + 33519*w**3 - 67228*w**3.
-16*w**3
Collect the terms in -4*b**3 + 2*b**3 + 397*b - 9610*b + 9213*b.
-2*b**3
Collect the terms in -294*c**2 - 706718 + 1413442 - 706724.
-294*c**2
Collect the terms in 177354*v - 354701*v + 177347*v - 52*v**3 - 36*v**3.
-88*v**3
Collect the terms in -18200*z**2 + 8492*z**2 - 9153*z**2 - 19115*z**2 + 3235*z**2.
-34741*z**2
Collect the terms in -1 - 1 + 119924004*s + 119923978*s + 2 - 239847981*s.
s
Collect the terms in 7874*c - 15099*c - 12639*c.
-19864*c
Collect the terms in 4425*b + 9568*b + 13628*b.
27621*b
Collect the terms in 15*h + 47 + 4139*h**2 - 15*h - 47.
4139*h**2
Collect the terms in -28 - 229*s**3 + 36 - 206*s**3 + 101*s.
-435*s**3 + 101*s + 8
Collect the terms in 125702*u + 128618*u - 254137*u.
183*u
Collect the terms in -24*l**3 - 549 + 56*l**2 + 284 + 262.
-24*l**3 + 56*l**2 - 3
Collect the terms in -1458*j - 187457 + 187457 - 2539*j.
-3997*j
Collect the terms in 25 + 29 - 8531*o + 8533*o.
2*o + 54
Collect the terms in -550 - 29*p + 85 + 77 + 82 + 306.
-29*p
Collect the terms in 1589935 - 865*r - 606*r - 1589937.
-1471*r - 2
Collect the terms in -46 + 126*r + 104*r + 130*r + 5 - 415*r.
-55*r - 41
Collect the terms in -5270*p**2 + 129801*p**2 + | {
"pile_set_name": "DM Mathematics"
} |
ate -15 - 7 - -15 - (-1)/(4/27).
-1/4
What is the value of (-9102)/(-205) + (-1118)/26?
7/5
Evaluate -22 - (-54)/(-45 + 39).
-31
What is the value of 165/(-22)*(-13)/(104/16)?
15
Evaluate 8/14 - (-57)/(17556/2288).
8
((-512)/(-12))/(-4) - -7
-11/3
What is 2 + -5 + 135 + -140?
-8
Evaluate ((-3)/258)/(-6 + 4/48*78).
-1/43
Evaluate 14 - 9 - (-1 - -4) - -6.
8
5/(-20) - ((-7595)/(-372) + (-4)/6)
-20
What is 3/(-2) - 184/36*(-72)/(-32)?
-13
1*((-1)/(7/((-1148)/(-20))) + 8)
-1/5
What is the value of 81/(-15) + (34 - 31 - -3)?
3/5
What is (-33559)/16326 + (8/(-6))/(2/(-3))?
-1/18
What is 2/(-4)*(-240)/8 + -5?
10
-1 - 20/(-4)*18/(-15)
-7
What is 144/2160 - (-1)/10?
1/6
What is the value of 190 - 214 - (-3 + -2)?
-19
7/((-252)/16) - (242/(-99) - -4)
-2
What is 4 + 8 + -2 + 154/11 + -10?
14
385/22*(-28)/(-49)
10
What is the value of 198/(-18) - 536/(-48)?
1/6
What is 21/(-77) - ((-5)/(-4) + (-64487)/38940)?
2/15
(-12 + 700/56)*(-4)/6
-1/3
What is ((-2575)/125 + 21)*(-10)/(-13)?
4/13
Evaluate ((-16)/600)/((-1)/(-3)).
-2/25
Evaluate (116/20 - 6)/(5 - 4).
-1/5
-89*(-35)/(-245) + (-2)/7
-13
Evaluate (-40)/(-3) + (179075/285)/(-145).
9
Evaluate -2*((-598)/(-26))/(-575).
2/25
Evaluate 4 + -7 - (-19)/19.
-2
Evaluate (-36)/(-42) + 20541/(-861).
-23
133/285 - (-7)/(-147)*7
2/15
Calculate -4 + (-1)/(9 + 490/(-55)).
-15
What is ((-650)/(-165) + -4)*3 - (-86)/(-11)?
-8
What is (-112)/(-8*(-19 - -20))?
14
What is the value of (-55)/(5115/(-62))*(-2 - (0 - -1))?
-2
Evaluate (11 + (-442)/39)*1*45.
-15
What is (-14)/(-16) + -1 - 16891/(-78232)?
1/11
Evaluate 10/(-125) - (-16390)/(-1375).
-12
Calculate (-12 + -22)*(-6)/(-12).
-17
Calculate (-52)/(-6) - (-12 - (-261)/27).
11
(322/770 - 12/(-66))/((-2)/(-50))
15
What is the value of (-18 - 3984/(-216))/(4/(-18))?
-2
What is (-1 + -1)*9*(0 + (-26)/52)?
9
What is ((84/(-2030))/(-3)*-5)/(-2 + 4)?
-1/29
(494/9633)/(2/(-6))
-2/13
What is the value of (-26)/2*(270/1989)/(-15)?
2/17
What is the value of 42 + -24 + 0 + -2?
16
What is the value of ((-613)/9195)/((-2)/(-6))?
-1/5
Evaluate ((-7)/5 - -1) + (-29134)/(-10405).
12/5
What is the value of 210 + -189 - 7/(2/2)?
14
Evaluate ((660/(-24))/(-55))/((-1)/(-26)).
13
What is the value of 270/(-432) + ((-135)/(-20))/9?
1/8
Evaluate 2/12 - (-191)/(-8022).
1/7
What is (312/3146)/((-6)/(-33))?
6/11
Evaluate (-1120)/80 + 226/16.
1/8
Evaluate 108/(-198) + 1239/154 + -6.
3/2
What is 13 + -13 + 5 + 8?
13
Calculate 2/7 - 497/196.
-9/4
Calculate 4/(-6)*(539/22 + -5).
-13
What is the value of (-8 + (-992)/(-120))/(6/(-5))?
-2/9
What is 1/(-5) + (-41)/(-55)?
6/11
Evaluate (-30090)/(-11033) + (-439)/165.
1/15
What is (12/(-84)*7)/((200/48)/25)?
-6
What is the value of 2*((-989)/(-46) + -23)?
-3
What is the value of (-68)/(-4) + 8/(-6)*15/10?
15
What is 19/4*(-540 + 536)?
-19
Calculate 5202/756 + (-2)/12 + -7.
-2/7
((-2 - 0) + 0)*(-366 - -364)
4
(3 + (-10)/25*3)*5
9
(342/10)/(-3) - (104/40 - 2)
-12
What is 2/52*2*(366 - 365)?
1/13
(5984/(-143) - -42)*(-1)/4
-1/26
Evaluate 3588/1248 - (-1 + (-14)/(-16)).
3
Calculate 1 + 2 + -22 + 12 + -8.
-15
(-450)/(-180) + 15/(-3) + 9
13/2
What is ((-12)/22)/((-189)/(-1386))?
-4
Calculate (-80)/260*(-4)/(-24).
-2/39
Calculate 9*1 + (326/(-40) - 502/2008).
3/5
What is the value of (-200)/64*16/2 + 14?
-11
Evaluate 360/(-825) - (854/70 - 13).
4/11
What is the value of ((-40)/(-48))/(6/(24/5))?
2/3
What is (-7004)/578 - (-7)/((-238)/(-4))?
-12
What is the value of 130/(-72) + (-2350)/(-1880)?
-5/9
Calculate (-2)/(22 - 420/18)*136/(-6).
-34
29 + -38 - -7 - ((-10)/(-7) - 3)
-3/7
Evaluate (8/130)/(38/(-95)).
-2/13
What is 17 - ((-4)/(-6))/((-21)/((-1890)/12))?
12
Evaluate -17 + (32 - -10) + -27.
-2
Evaluate (-82615)/1365 + 60 - (1 - (-13)/(-7)).
1/3
What is 1 + 41 - (-4 + 44)?
2
Evaluate ((-37)/259)/(4/24).
-6/7
What is the value of 42/119*-17 + 1 + 13?
8
(-120)/(-46)*73/1095
4/23
Evaluate ((-75)/250)/((-42)/60).
3/7
Calculate 110/352*-10*10/25.
-5/4
What is (-6 - -8)/((-140)/77 - -6 - 4)?
11
Evaluate 1017/(-3955)*2/(-12)*5.
3/14
What is (-4872)/(-288) + 5/60?
17
What is 3 + -14 + (-4900)/(-441)?
1/9
What is the value of (3 + (-37)/12)*88/44?
-1/6
What is (-3874)/(-130) - (-3 + (-126)/(-45))?
30
What is the value of (-21)/((231/22)/(9/(-6)))?
3
What is 1 + (-102)/112 - (8708/224 + -39)?
3/14
Evaluate 20/36*24/20 + (-29)/3.
-9
What is the value of 12/30 - (-1081)/(-1840)?
-3/16
Calculate 10 - 1 - ((-48)/(-8))/2.
6
What is the value of 15/(-5) - -3 - (-28)/(-4)?
-7
What is the value of (238/1309)/(21/77)?
2/3
Calculate (2 - -13)*-3*(4 - 205/45).
25
What is the value of (-406)/42 + 15 - 3?
7/3
((-75)/300)/(1/52)
-13
Evaluate 35/(-14)*(19 - (-770)/(-50)).
-9
(1/111)/(267/1602)
2/37
(8 + -188)/(-9) - (-5 - -13)
12
Evaluate 2/(-7 - 47/(-8) - 14/(-112)).
-2
What is the value of ((-26)/(-15) - 80/60)*2/4?
1/5
(-720)/(-270) - (6/9)/1
2
(38 + -40)*70/(-6)*(-6)/(-7)
20
Calculate -74 + 109 - (-1 + 17).
19
Evaluate (-3)/106*(-1404)/1053.
2/53
Calculate 8 + (-2183)/74 - -22.
1/2
What is 20 - (28 + (-4 - -23))?
-27
Calculate 3615/(-1687)*210/(-18).
25
What is the value of ((-2)/16)/(134/(-3216))?
3
What is the value of 686/30 + (-6 - (-17 + 5))/45?
23
What is (51/(-238)*-406)/3?
29
What is the value of -48*(-12)/1056 + 10/(-99)?
4/9
Calculate ((-22)/220)/((-21)/30).
1/7
What is ((-1)/(-7))/(((-2)/(-7))/(120/(-900)))?
-1/15
What is -13 + (189/(-12))/((-65)/52)?
-2/5
Calculate ((-452)/132 + 7)*(-9)/6 + 5.
-4/11
Calculate 29 + (99/(-18) - 14).
19/2
What is (-186)/1581 - (32/17 - (-4 + 5))?
-1
What is the value of 2106/7020*52/(-3)?
-26/5
What is the value of 85*(-6)/210 - 4/7?
-3
Evaluate ((464/(-87))/(-16))/(((-11)/90)/11).
-30
What is 9 - (14 - -10) - -26?
11
(45/12)/(315/70)*12/(-15)
-2/3
Evaluate (-47)/52 - ((-10)/4 - 539/(-308)).
-2/13
Evaluate (-10)/22 + (336/154)/24.
-4/11
What is 4/16 + (6 - 9072/1472)?
2/23
What is the value of (0 - 24)*(10612/(-756) - -14)?
8/9
(7/(-8))/(-25 + 5391/216)
21
Calculate (-3 - 25 - -15) + 11.
-2
(-65)/21 + (-20)/(-210)
-3
Evaluate (-700)/(-5082)*33 - (1 - (-3 - 0)).
6/11
What is the value of (-157 + 166 - (-858)/(-68)) + (-4)/(-34)?
-7/2
Calculate (2/13)/(17/663).
6
406/21 - 18 - 2/(-3)
2
2 + (-1500)/80 + 19
9/4
Evaluate (177/(-118))/(((-3)/10)/((-48)/220)).
-12/11
What is (-4 + 2 + (-4)/(-6))*(-3)/(-62)?
-2/31
(55 - (-19656)/(-392))/(-3*6/(-63))
17
What is (0 + (-3)/5)*(38 - (23 - 10))?
-15
What is the value of ((-9)/14)/(1007/(-42294))?
27
What is the value of -3*2/(-8) - (-8)/((-3360)/335)?
-1/21
Calculate (-6 - 0) + (-23)/(2024/(-462)).
-3/4
What is the value of (-1)/(-10)*(-40)/40?
-1/10
(-61 - -66)*((-1)/(-2))/(5/(-2))
-1
What is -25 + 21 + (-48 + 8)/5?
-12
-12 + (0*(-10)/(-100))/(2/(-1))
-12
Evaluate (-400)/14 + (-567 - -599).
24/7
(0 - -2)*(5/4)/((-11)/(-22))
5
What is the value of (-4)/10 + 8/(-30) - 40/(-168)?
-3/7
Evaluate 18/(13/(-4) - ((17 - 10) + -11)).
24
Evaluate 5 - (-13)/(52/(-64)).
-11
Evaluate (-8 - 109)/(-13)*1/(-3).
-3
What is the value of (-4 - -2)*(-12)/(-84)?
-2/7
Evaluate (-11)/(88/56) - (-4)/((-84)/(-133)).
-2/3
Evaluate ((-75)/30)/(2/4).
-5
What is -42*(-3)/6*(-8)/24?
-7
(50/6525)/((-24)/216)
-2/29
What is (-8)/44 + ((-415)/77 - -6)?
3/7
(-8 + 7)/(5*13/(-1235))
19
Calculate 16/448 - (-1335)/(-2100).
-3/5
((-2130)/(-284))/((-6)/(-4))
5
(-3)/(-60)*-2 - (-16)/32
2/5
What is the value of (42*(-2)/(-4) - 0) + -444 + 447?
24
Calculate (-5)/(-26)*(-45)/6*(-60)/375.
3/13
Calculate 6/(-3) + ((-4)/(-24) - 185/30).
-8
What is the value of 33/(-22)*(-4)/12 - (-312)/(-688)?
2/43
What is the value of 3/(-24) - (71/8 + -1)?
-8
What is the value of (3/90)/((-13)/(-156))?
2/5
What is (-169)/27 + 11651/(-1647) + 7?
-19/3
Calculate ((-540)/(-25))/(1464/1220).
18
Evaluate 28/10 - 4263/3045.
7/5
What is the value of 3069/63 - 22 - 26?
5/7
(-4 - -1)*((-2)/(-15))/((-16)/(-80))
-2
What is the value of (3/9 - 1885/(-285)) + -7?
-1/19
What is the value of (-4)/(-3)*(-108)/(-1224)?
2/17
Calculate (12 + -6 - -4) + (3 + -3 - 6).
4
(-1331)/55 + 38 + -14
-1/5
Calculate (-12)/(-14) - 7176/483.
-14
2/(-8) - (((-329)/(-28))/1 + -11)
-1
Evaluate (-187 - -186) + 2*3.
5
What is ((-15)/2)/(-10 + (-340)/(-40))?
5
(1/2)/(6/(-51)) + (-24)/(-96)
-4
(7 - 3 - 4 - -19) + -1
18
What is 1183/4394*(-1)/(14/(-4))?
1/13
13/(-39)*(-36)/84
1/7
Calculate 2 - -1 - (6 | {
"pile_set_name": "DM Mathematics"
} |
65 - 5431517. Let v = -2132953.2999946 - l. Let f = -1.3 - v. Round f to 6 dps.
-0.000005
Let y = -10253 + 10278.165. What is y rounded to one dp?
25.2
Let m = 193150 + -193302.027. Let v = -0.027 - m. Let i = v - 152.0000186. What is i rounded to six dps?
-0.000019
Let g = -6274 - -6274.1392. What is g rounded to one dp?
0.1
Let a(v) = -75682*v**3 + 165*v**2 + 5*v - 12. Let h be a(4). What is h rounded to the nearest one hundred thousand?
-4800000
Let i = 8257.2 - 8257.2056147. What is i rounded to three dps?
-0.006
Let w(u) = 1321*u**2 - 12*u - 245. Let x be w(17). What is x rounded to the nearest ten thousand?
380000
Let l(v) = 28964*v + 936. Let y be l(26). Round y to the nearest 1000000.
1000000
Let t = 1750.24 - 1698. Let v = -52 + t. Round v to two decimal places.
0.24
Let u = -3362.132 - 210146.568. Let t = -213798.7542 - u. Let c = t + 290. Round c to 2 decimal places.
-0.05
Let f = 7164.468 + -7176. Round f to one dp.
-11.5
Let g = -45904077679.99999779 + 45904077393. Let k = g + 287. What is k rounded to 6 dps?
0.000002
Let h(s) = 7 + 224565*s - 231886*s - 162771*s - 727001*s. Let l be h(-1). Round l to the nearest one hundred thousand.
900000
Let z = 1.47 + -8.37. Let t = z + 6.884. Let i = -0.0247 - t. What is i rounded to three dps?
-0.009
Let b(c) = 2*c - 24. Let h be b(10). Let m be (14/h)/((-12)/(-93600)). Round m to the nearest 10000.
-30000
Let t(n) = 4*n + 33 - 13 - 18*n + 7 - 1400*n**2 + 39. Let j be t(19). Round j to the nearest one hundred thousand.
-500000
Let w = 649.504 - 639. Round w to 1 decimal place.
10.5
Let g = 18.90207075 + -18.57207. Let y = -0.21 - -0.54. Let n = g - y. Round n to 7 decimal places.
0.0000008
Let u = -0.0481 - 761.9519. Let h = u - -762.0000974. What is h rounded to 4 dps?
0.0001
Let x = -2.486 - -3.05. Let s = 1.401 + x. Let q = -2.87 + s. What is q rounded to 1 dp?
-0.9
Let w = -820222.39 + 815408. Let n = -4845 - w. What is n rounded to the nearest integer?
-31
Let s = -16449 + 16748.88. Round s to the nearest integer.
300
Let l = -81902 + -205558. What is l rounded to the nearest 1000?
-287000
Let g = -886.7 - 2864.8. Round g to the nearest one thousand.
-4000
Let o = 4697.099 + -0.899. What is o rounded to the nearest one thousand?
5000
Let n(f) = 49*f**2 + 6*f - 7. Let y be n(5). Let l = -688 + y. Suppose 5*m - l - 35 = 0. Round m to the nearest ten.
120
Let n = -106 + 153. Suppose 5*r = -53 - n. Let b = -22 - r. Round b to the nearest 10.
0
Suppose -72*d - 249*d = -635990880. What is d rounded to the nearest one hundred thousand?
2000000
Let v = -420.197 + 2.997. Round v to the nearest ten.
-420
Let z(y) = -267*y + 44. Suppose -12 = -2*f + 6*f - 4*n, -n + 5 = 0. Let w be z(f). What is w rounded to the nearest one thousand?
0
Let h = 429.564 + -431. Let f = h + 1.6. Round f to two decimal places.
0.16
Let m = -3239 + 3238.996408. Round m to 3 dps.
-0.004
Let x = 7877 + -7875.7596. Round x to one decimal place.
1.2
Let n = -3.599 + -0.371. Let g = n + 3.8686. What is g rounded to 2 decimal places?
-0.1
Let a = 2373047250601.4 + -2373045963974.5010063. Let j = a - 1286627. Let i = -0.101 - j. Round i to six dps.
0.000006
Let t = 154204 - 84399. Let u = -69746.042 + t. Let z = u + -59. What is z rounded to 2 dps?
-0.04
Let k = -396.4 + 396.388596. Round k to 3 dps.
-0.011
Let v = -77188.8 - -90354. Round v to the nearest 1000.
13000
Let o = -2202.1 - -2016. Let k = o + 185.9639. Round k to two dps.
-0.14
Let z = -0.001 + -41.099. Let c = -41.099907 - z. Round c to six dps.
0.000093
Let o = -40.55 + 36.8. Let d = o + 3.7617. Round d to 2 dps.
0.01
Let b = 10247.7 + -10792. What is b rounded to the nearest 10?
-540
Let t = 401.77 + -345.7. Let u = 0.07 - t. Let o = u - -55.9558. Round o to 3 decimal places.
-0.044
Let q = 140.5 - -3.5. Let j = -3.213 - -147.783. Let g = q - j. Round g to 1 dp.
-0.6
Let h = -0.3356 - -0.33555987. What is h rounded to 6 decimal places?
-0.00004
Let y = 1237 + -1229.51. Let b = -1.41 - y. Let k = b + 8.8999922. What is k rounded to 6 dps?
-0.000008
Let t = -1895 + 1894.9031. Let z = t - -0.038. Round z to 2 dps.
-0.06
Let y = -22000 + 36934. Let o = -49766 - y. What is o rounded to the nearest 1000?
-65000
Let i = 194.445 + -195. Let v = 0.4248 + i. Let g = v + 0.1302721. What is g rounded to five dps?
0.00007
Let w = -294507 + 294344.0364. Let y = w + 163. Round y to 2 decimal places.
0.04
Let h(q) = -10784*q**2 + 144*q + 748. Let c be h(-6). What is c rounded to the nearest one thousand?
-388000
Let v = -6187.7835 + 6186. Round v to 1 decimal place.
-1.8
Let n = -1.27 - -6.37. Let i = n + -5.932. Let m = 0.84 + i. Round m to 3 dps.
0.008
Let d = 553.2 + -481. Let y = d - -1.8. Let b = -74.0069 + y. Round b to four dps.
-0.0069
Let u = 48.76 + -48. Let a = 0.06 - u. Let h = -0.02 + a. Round h to 1 decimal place.
-0.7
Let u = -2643.54864 + 2645. What is u rounded to 1 decimal place?
1.5
Suppose 0 = 4*j - 119 - 13. Let c = j - 33. Let h be 4502 - (2 + c)*(6 + -5). Round h to the nearest 1000.
5000
Let l(k) = 232*k**3 - 2*k**2 - 2*k - 1. Suppose 2*x - 1 = 5*w - 2, 0 = 3*w - x. Let q be l(w). What is q rounded to the nearest one hundred?
-200
Let l = 113.3 - 118.61. Let f = 5.310462 + l. What is f rounded to 4 decimal places?
0.0005
Suppose -t = -5*j + 22, -56*j + 52*j - t + 14 = 0. Suppose 0 = 2*i - 5*d - 61585, 0*d = 2*i + j*d - 61612. What is i rounded to the nearest one thousand?
31000
Suppose 0 = 5*i + 5*i - 12106140. Suppose -2*f - 5*m = -2805093, -f + 191934 + i = m. Suppose 4*l + f = 438549. What is l rounded to the nearest ten thousand?
-240000
Suppose 232*h + 463881760 + 848453103 = -2957625137. Round h to the nearest one million.
-18000000
Let k = 241.05 + -242. Let o = 7.32 + k. What is o rounded to the nearest integer?
6
Let k = 73491.453 - 73435. Let f = -1189.7 + 1133. Let x = k + f. What is x rounded to two dps?
-0.25
Let x = -50.15 + 0.15. Let a = -16522.15285 + 16472.15. Let z = x - a. What is z rounded to 4 decimal places?
0.0029
Let p = 5.66 - 5.71433. What is p rounded to 3 dps?
-0.054
Let d = -213.78 - -30.74. What is d rounded to the nearest ten?
-180
Let x be (24/24)/(2/778). Suppose 0 = -2*s + 6, 1647 = -4*p + s - 684. Let i = x + p. Round i to the nearest ten.
-190
Let j = -843.3674 + 842.1. What is j rounded to one decimal place?
-1.3
Let u = 16.955 - 17. Let j = -3990.405 + 3990. Let r = u - j. What is r rounded to one decimal place?
0.4
Let m = -14373.405 - 18.595. Let o = -14393.9966 - m. Let u = o - -2. What is u rounded to 3 decimal places?
0.003
Let a(w) = 1243694*w**3 - 5*w**2 + 3*w - 4. Let s be a(3). Suppose -10*j - 39160932 = s. Let b = -3814063 - j. Round b to the nearest 1000000.
3000000
Let s = 0.7538006945 - 0.7538. What is s rounded to six decimal places?
0.000001
Let p = 54.92 - -0.08. Let h = p + -54.9999528. Round h to 5 decimal places.
0.00005
Suppose 2*f = -5*z - 28080, 103*f = 104*f + z + 14046. Round f to the nearest 100.
-14100
Let w = -548 - -538. Let t be (790/3 + w)/((-2)/(-29850)). Round t to the nearest one hundred thousand.
3800000
Suppose 3*q + 1298700 = i, -5*i + 7 = 7. What is q rounded to the nearest 100000?
-400000
Let b be (50/(-700) + 626/(-56))*(4 - -43460). What is b rounded to the nearest 10000?
-490000
Let l be (-121 + 1)/((-8)/(-1704460)). What is l rounded to the nearest 1000000?
-26000000
Let c = -7 + 7.02. Let z = c - 0.03. Let g = z - -0.009802. Round g to five dps.
-0.0002
Let s = -49 - -58. Let h = s + -9.00272. Round h to four dps.
-0.0027
Let f = 38.89016 - 738.66896. Let r = f + 700. Round r to 2 dps.
0.22
Let c be -1*(0*(2 + -1) - 0). Let y be (4/(-2))/((-1)/2). Suppose -3*k - 2*a = -4*a - 1462, -5*k + y*a + 2434 = c. Round k to the nearest one hundred.
500
Let j = 59 - 69. Let p be 60/(-150) - (0 + 37744/j). Let b = p - 6434. Round b to the nearest 100.
-2700
Let j = -83 - -180. Let l = j - 139. Let g = l - -41.929. What is g rounded to two decimal places?
-0.07
Let i = -281 - -280. Let o be 1654 + (-1)/((-10)/(-8) + i). What is o rounded to the nearest 100?
1700
Let a(z) = -4*z - 6. Let p be a(-2). Suppose p*x + 2 = 6, c - 77 = -3*x. Round c to the nearest integer.
71
Let b = 6.996725958 + -6.9968. Round b to five dps.
-0.00007
Let r = -5.243 + 5.34258. What is r rounded to two dec | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from uuquuuququuuuuquuuuu.
1/4845
Three letters picked without replacement from mmtmmmmmmmmm. Give prob of picking 3 m.
3/4
What is prob of picking 2 i and 1 o when three letters picked without replacement from hhiohhiohihhhhoo?
3/140
Calculate prob of picking 1 m, 1 l, and 1 h when three letters picked without replacement from keeekkemmhheelk.
4/455
What is prob of picking 2 l when two letters picked without replacement from {l: 6, o: 7}?
5/26
What is prob of picking 1 p and 1 r when two letters picked without replacement from {p: 11, r: 2}?
11/39
What is prob of picking 1 t, 1 k, and 1 p when three letters picked without replacement from {k: 3, r: 10, p: 4, t: 1}?
1/68
Calculate prob of picking 1 s, 1 p, 1 t, and 1 w when four letters picked without replacement from {i: 2, t: 1, s: 1, p: 3, w: 4}.
2/55
Four letters picked without replacement from itzzzmmitziiztmm. What is prob of picking 2 m and 2 i?
9/455
What is prob of picking 1 o and 1 a when two letters picked without replacement from eoeaooeaoaeooeeao?
7/34
Three letters picked without replacement from {i: 1, a: 1, y: 2, t: 6, e: 8}. What is prob of picking 2 e and 1 y?
7/102
Two letters picked without replacement from ynqkbnz. Give prob of picking 1 b and 1 n.
2/21
Calculate prob of picking 2 q and 1 s when three letters picked without replacement from eflqllsqqqflllqslfef.
1/57
Four letters picked without replacement from {p: 4, i: 6, e: 2, n: 1}. What is prob of picking 1 n, 1 e, and 2 i?
6/143
What is prob of picking 1 z, 1 y, and 2 q when four letters picked without replacement from {y: 1, q: 7, g: 3, z: 1}?
7/165
Two letters picked without replacement from ooomoomooooomommmo. What is prob of picking 2 o?
22/51
What is prob of picking 1 l and 2 i when three letters picked without replacement from {l: 1, w: 1, i: 2}?
1/4
Four letters picked without replacement from vfffvfvvvvvfv. Give prob of picking 3 f and 1 v.
16/143
What is prob of picking 1 s and 1 h when two letters picked without replacement from hhhhhhhhhhhhs?
2/13
What is prob of picking 1 l and 2 i when three letters picked without replacement from {e: 5, l: 1, i: 3, o: 1, z: 4, v: 1}?
3/455
Three letters picked without replacement from afgzf. What is prob of picking 1 a and 2 f?
1/10
What is prob of picking 1 a and 1 s when two letters picked without replacement from {h: 1, i: 2, n: 1, s: 1, z: 1, a: 1}?
1/21
Calculate prob of picking 2 u when two letters picked without replacement from ububbuuubu.
1/3
What is prob of picking 1 x and 2 w when three letters picked without replacement from {x: 3, w: 3}?
9/20
Three letters picked without replacement from {z: 3, u: 3, s: 5, y: 2}. What is prob of picking 1 y, 1 z, and 1 u?
9/143
What is prob of picking 2 v and 1 u when three letters picked without replacement from {u: 1, z: 1, v: 7}?
1/4
Two letters picked without replacement from qqqfqqfqtqfqqftq. What is prob of picking 2 q?
3/8
What is prob of picking 1 u and 1 w when two letters picked without replacement from wulwauw?
2/7
Calculate prob of picking 1 m and 2 h when three letters picked without replacement from mmhmmmmmmhmmhhmmmmm.
30/323
What is prob of picking 1 h and 1 c when two letters picked without replacement from {h: 7, g: 1, a: 3, c: 6}?
21/68
Calculate prob of picking 4 r when four letters picked without replacement from {i: 2, r: 17}.
35/57
Calculate prob of picking 2 i when two letters picked without replacement from iiiiriiiriiirr.
45/91
What is prob of picking 1 k, 2 u, and 1 n when four letters picked without replacement from ulqnunqek?
1/63
What is prob of picking 1 d and 1 t when two letters picked without replacement from kupdt?
1/10
What is prob of picking 4 i when four letters picked without replacement from {i: 10}?
1
Three letters picked without replacement from avatttzrtt. Give prob of picking 2 a and 1 v.
1/120
Four letters picked without replacement from ddddlddddlddid. What is prob of picking 1 d, 1 l, and 2 i?
0
What is prob of picking 1 y and 1 g when two letters picked without replacement from vgygvyvvyyvgygyvy?
7/34
Three letters picked without replacement from {q: 2, a: 1, v: 3, y: 1, h: 9, o: 3}. Give prob of picking 1 a, 1 y, and 1 h.
3/323
Two letters picked without replacement from {f: 3, n: 1, w: 6, s: 1, y: 4}. What is prob of picking 1 w and 1 y?
8/35
Two letters picked without replacement from {k: 5, h: 2, q: 12}. Give prob of picking 2 k.
10/171
What is prob of picking 3 c when three letters picked without replacement from {c: 10}?
1
Calculate prob of picking 4 p when four letters picked without replacement from tppppppppppppttptp.
1001/3060
What is prob of picking 3 k when three letters picked without replacement from {e: 1, c: 11, t: 3, k: 5}?
1/114
Two letters picked without replacement from uouoooouuoo. Give prob of picking 2 o.
21/55
Four letters picked without replacement from uujwrjjwvwwwrauvwu. Give prob of picking 1 r, 1 a, and 2 v.
1/1530
Two letters picked without replacement from ddchddwdiededhcddh. Give prob of picking 1 c and 1 d.
2/17
Three letters picked without replacement from vvohqvqvvojhvooo. What is prob of picking 1 h and 2 q?
1/280
What is prob of picking 1 v and 1 i when two letters picked without replacement from {x: 1, m: 1, v: 4, i: 1, q: 5}?
2/33
Two letters picked without replacement from mmzvzevsnezemvvevm. What is prob of picking 2 e?
2/51
What is prob of picking 1 r and 2 l when three letters picked without replacement from {l: 6, y: 1, r: 2, u: 2}?
2/11
What is prob of picking 1 t and 2 e when three letters picked without replacement from tgeteeeeeeegee?
45/182
Three letters picked without replacement from kttqmkt. What is prob of picking 2 k and 1 q?
1/35
Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmmmm.
1
Four letters picked without replacement from cicicicicciilciciiii. What is prob of picking 2 c and 2 i?
308/969
Calculate prob of picking 3 t and 1 d when four letters picked without replacement from {d: 5, c: 8, t: 5}.
5/306
Two letters picked without replacement from vavvaa. What is prob of picking 2 a?
1/5
Calculate prob of picking 2 g and 1 h when three letters picked without replacement from nnuhnhnnnngnhunhghg.
5/323
Four letters picked without replacement from vvvvivivvvi. Give prob of picking 2 i and 2 v.
14/55
What is prob of picking 1 s and 2 t when three letters picked without replacement from wtwwastw?
1/56
Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {m: 1, b: 1, l: 3, a: 4, t: 7}.
1/120
Three letters picked without replacement from {g: 1, y: 1, l: 7}. What is prob of picking 1 g and 2 l?
1/4
Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, u: 15, m: 2}.
3/190
What is prob of picking 3 s and 1 z when four letters picked without replacement from {s: 4, z: 6}?
4/35
Three letters picked without replacement from pppmppppmpppp. What is prob of picking 2 p and 1 m?
5/13
Three letters picked without replacement from {w: 2, b: 2, f: 1}. What is prob of picking 2 w and 1 b?
1/5
What is prob of picking 2 f and 1 w when three letters picked without replacement from {w: 5, f: 4, s: 8}?
3/68
What is prob of picking 1 w and 1 g when two letters picked without replacement from woawgoiowaw?
4/55
What is prob of picking 2 s and 1 x when three letters picked without replacement from {s: 17, x: 2}?
16/57
What is prob of picking 2 l when two letters picked without replacement from jaolplll?
3/14
What is prob of picking 2 b when two letters picked without replacement from {b: 7, a: 3}?
7/15
Two letters picked without replacement from {v: 1, e: 3}. What is prob of picking 2 e?
1/2
What is prob of picking 3 b and 1 e when four letters picked without replacement from eeexxxxebbbbbxxbb?
1/17
Two letters picked without replacement from oft. What is prob of picking 1 f and 1 o?
1/3
Two letters picked without replacement from {b: 3, r: 5, o: 1, p: 1}. What is prob of picking 2 r?
2/9
Three letters picked without replacement from yykyfydkf. Give prob of picking 2 f and 1 k.
1/42
What is prob of picking 1 o and 2 i when three letters picked without replacement from {r: 2, o: 7, i: 6}?
3/13
Two letters picked w | {
"pile_set_name": "DM Mathematics"
} |
t is the closest to -3 in -1/5, -3/5, -0.5?
-3/5
Which is the nearest to -5? (a) 3 (b) -3/5 (c) 2/7 (d) 2
b
Which is the closest to -0.1? (a) 4.3 (b) 3/2 (c) 0 (d) 2
c
What is the closest to 0 in -1/6, -0.03, 0.2, 1?
-0.03
What is the closest to -1 in -1/9, 19, -4?
-1/9
What is the closest to 1 in -2, -19, -0.5, 0.2?
0.2
Which is the nearest to 0.11? (a) -0.5 (b) 2/11 (c) -1 (d) 0.4
b
What is the closest to -31/5 in -2, 2/13, -4?
-4
What is the closest to -0.1 in 0, -0.207, 5?
0
What is the nearest to 0 in -2/7, -1/4, 3, -2?
-1/4
Which is the closest to -3/10? (a) -4 (b) 0.02 (c) -24
b
What is the closest to 0.2 in -4, -3/14, 3?
-3/14
Which is the nearest to 0.1? (a) 2/5 (b) 2.7 (c) -3
a
Which is the closest to 1? (a) -0.002 (b) -5 (c) 4/5
c
What is the closest to -0.1 in 1.15, 3, -5, 1/4?
1/4
What is the closest to 110 in -2, 4, 3?
4
What is the closest to -2 in -8, -0.3, 1/3, -1/7?
-0.3
Which is the nearest to -0.3? (a) -2/17 (b) -0.2 (c) 2 (d) -473
b
What is the nearest to 12 in -66, -0.2, 5, 1?
5
Which is the nearest to 0.04? (a) 0.01 (b) -1 (c) 0.2
a
Which is the closest to -2/3? (a) 3 (b) 0.07 (c) 3.3 (d) 2/11
b
What is the closest to 1/3 in 1/5, -4, -30, 5/2?
1/5
What is the nearest to 24 in -2/7, -0.05, -0.3?
-0.05
Which is the closest to 0? (a) -2/11 (b) -898 (c) 3/5 (d) -6
a
What is the closest to -1/2 in -3, 6, 4/13, 0.1?
0.1
What is the closest to -5 in -2/11, -0.3, -2, 0.4?
-2
What is the closest to 0 in 0.1, 13/4, 4, 2?
0.1
What is the nearest to 1/4 in -0.3, -0.1, 6?
-0.1
Which is the closest to -0.5? (a) 1/6 (b) 27.8 (c) 2
a
Which is the closest to 2/3? (a) 4/5 (b) 3.15 (c) -2
a
What is the closest to 1 in 3/2, 1/41, -2/19?
3/2
Which is the closest to -1/2? (a) 0.61 (b) 1/5 (c) 2/7 (d) -0.1
d
Which is the closest to -10? (a) 1 (b) 22 (c) 1/4
c
Which is the nearest to 1? (a) -0.05 (b) -2/13 (c) -40 (d) 0.4
d
What is the closest to -0.29 in -5, -1, -2/21, 3?
-2/21
What is the closest to 1 in -64, 4, 0.1, -0.5?
0.1
What is the closest to 0 in -3/5, -2, -3, -7/4?
-3/5
What is the nearest to 0.05 in 2, 4, 0.1?
0.1
Which is the closest to -1? (a) 98 (b) -1 (c) 1/4
b
What is the closest to 6 in 2/3, -7, -4?
2/3
What is the nearest to 1/4 in -2/5, 22, -1/6, -2/35?
-2/35
What is the nearest to 13 in -5, 3, 2, -0.3?
3
What is the nearest to -1/116 in 5, 16, -0.1?
-0.1
What is the closest to 0 in -11/2, -4, -1?
-1
What is the closest to 3 in -1/9, -1/21, 6/11?
6/11
What is the closest to -2/3 in 10, 0.2, -2/15?
-2/15
What is the closest to -0.1 in -5/2, -6, 3/5, -3?
3/5
Which is the nearest to 0.269? (a) -3/7 (b) -0.1 (c) 1
b
What is the closest to 0.1 in 2, 3/44, 0.4, -4?
3/44
What is the nearest to 0.02 in -4, -0.37, 0?
0
What is the closest to 1 in 0.104, -5, 10, -2?
0.104
What is the nearest to -2/3 in -2, 5, 164?
-2
Which is the nearest to 0.1? (a) -16 (b) 0.5 (c) -1
b
Which is the nearest to 1? (a) -0.3 (b) -6 (c) -9
a
What is the closest to 2 in -22, 1/4, 4?
1/4
What is the nearest to 1 in 3, -0.4, 0.13?
0.13
What is the closest to -2/5 in -9, 2/3, 0.2?
0.2
What is the nearest to -0.1 in -0.02, 0.5, -0.3, 10?
-0.02
Which is the closest to -1/6? (a) -2/9 (b) -0.5 (c) -2 (d) -54/7
a
Which is the closest to -1? (a) -45 (b) 0.6 (c) -6 (d) 3
b
What is the nearest to -0.1 in 0.2, -4, 2, 0?
0
What is the closest to 2/3 in -4/3, 17, -4, -1/5?
-1/5
Which is the nearest to -1/4? (a) -0.06 (b) 0 (c) -4 (d) -1/7
d
Which is the nearest to -2? (a) -1 (b) 1 (c) -0.09 (d) -2
d
Which is the nearest to -0.2? (a) -0.9 (b) 10 (c) -5 (d) 0.2
d
Which is the closest to -0.1? (a) -28 (b) -4/5 (c) -1/3 (d) 2/9
c
What is the closest to 0.6 in 0.1, 1/8, 0.02, 0.4?
0.4
Which is the nearest to 0? (a) 1 (b) 0.08 (c) -4 (d) 0.24
b
What is the closest to -6/7 in 0.2, 2/9, 2?
0.2
Which is the nearest to -1? (a) -0.2 (b) 2/3 (c) -8
a
What is the closest to -4 in -0.5, -5, 2, 5/2?
-5
Which is the nearest to -8? (a) 0.6 (b) -2 (c) 4
b
Which is the nearest to 6/11? (a) 1/17 (b) 8 (c) 2/7
c
What is the closest to 2 in 1, 0.05, -4, 12?
1
Which is the closest to 0? (a) 0 (b) 1 (c) -5
a
Which is the nearest to 10? (a) -3 (b) 8/13 (c) -1/7
b
What is the closest to 11 in 2, 4, -2/11?
4
What is the nearest to 1 in 24, -4, 5?
5
What is the closest to 1/3 in -0.1, 0.2, -3, 1/11?
0.2
Which is the nearest to -5? (a) -0.07 (b) -4 (c) -1/3
b
What is the nearest to 0.3 in -1, 3, -1/4, 0?
0
Which is the nearest to 3? (a) -3/7 (b) 22.3 (c) -3/4 (d) -3
a
What is the closest to 13 in 2, -4, 8?
8
What is the nearest to -132 in 2/5, -0.1, 3?
-0.1
Which is the nearest to 2? (a) -1 (b) -0.3 (c) 12
b
What is the nearest to 0.3 in 2/61, -4, -3?
2/61
Which is the nearest to -1? (a) -1 (b) -3 (c) 2 (d) -3/4
a
Which is the nearest to 0.17? (a) -4 (b) 3 (c) 5
b
Which is the closest to 0.1? (a) -3 (b) -1/17 (c) 1/4 (d) 1/5
d
Which is the closest to 5/6? (a) 5 (b) 0.2 (c) -0.3 (d) 1
d
Which is the nearest to 1? (a) -5.5 (b) 5 (c) -0.5
c
What is the closest to 0 in -34.5, 1/5, 1?
1/5
Which is the nearest to 0.1? (a) -3/79 (b) -1 (c) 5/3
a
What is the closest to -1/3 in 0.1, 0.7, 7?
0.1
Which is the nearest to -1/6? (a) -315/8 (b) -1/2 (c) -2
b
Which is the closest to 1/5? (a) -3 (b) 34 (c) -1.3
c
What is the nearest to -0.9 in -2, 12, -4?
-2
What is the nearest to 2/7 in 0.2, 2, -10?
0.2
Which is the closest to -2/5? (a) -2/61 (b) -0.4 (c) -6/11 (d) 5
b
Which is the closest to -1/2? (a) 5/3 (b) 0.11 (c) -0.1 (d) -1
c
What is the closest to -2/5 in 2/5, -0.5, -30, 30?
-0.5
What is the nearest to -0.1 in 22, 7, 0.2, 2/5?
0.2
Which is the closest to -0.1? (a) 2/9 (b) 1/10 (c) -0.4 (d) -2/7
d
What is the closest to -0.1 in -2, -5/4, -3/8, 1/8?
1/8
Which is the nearest to -3/4? (a) 5 (b) -0.1 (c) 10
b
Which is the nearest to 2? (a) 3 (b) -1/4 (c) 1.7 (d) 4
c
Which is the nearest to 2? (a) 5 (b) 2 (c) 12
b
Which is the nearest to 0? (a) -4/9 (b) 0.1 (c) 19
b
What is the closest to 1.37 in -0.2, -0.06, -3?
-0.06
What is the closest to 9 in -2/5, -0.5, 5, -89?
5
What is the nearest to -0.1 in -4, 1/3, 4, -0.8?
1/3
What is the nearest to 2/3 in 1/8, -3, 0.5, -2/9?
0.5
Which is the closest to -1/2? (a) 2 (b) -2 (c) -1/4
c
Which is the closest to 4? (a) 2 (b) 73 (c) -1/4 (d) 5
d
What is the nearest to -1 in 21, 2, -2, 1/4?
-2
Which is the nearest to 6? (a) 0.3 (b) -3 (c) -1
a
Which is the closest to 2? (a) 0.2 (b) -15 (c) 0.641
c
What is the nearest to 0.2 in -1, 351, -0.1?
-0.1
Which is the nearest to 0.5? (a) -3 (b) -0.2 (c) -1 (d) 2/5
d
Which is the nearest to -6? (a) -1/3 (b) -0.2 (c) -2/13
a
What is the closest to -1 in 0, -5/4, -8, 2/9?
-5/4
What is the closest to -2 in -2, 5, 1/10, -3/5?
-2
What is the nearest to -0.02 in 1, -3/4, -4?
-3/4
Which is the nearest to 151? (a) -5 (b) 0.5 (c) 3/4 (d) -1
c
Which is the closest to 3? (a) -3 (b) 4 (c) 0.4
b
Which is the closest to 1? (a) -0.5 (b) 28/365 (c) -0.2
b
What is the nearest to -24 in -2, -0.4, -5?
-5
Which is the nearest to 1? (a) 3/4 (b) -0.4 (c) 46/3 (d) 4
a
Which is the nearest to -0.4? (a) -0.01 (b) 0.1 (c) 0.2
a
Which is the closest to -4? (a) 3/10 (b) -0.2 (c) 5
b
What is the closest to 0.1 in -1/110, 0.4, 4?
-1/110
What is the nearest to -1/3 in 6, -0.2, -2, 0.4?
-0.2
Which is the nearest to 6.8? (a) 2 (b) 0 (c) 4
c
What is the closest to 0 in -3/5, 1, 0.2?
0.2
What is the closest to -0.2 in -10, -18, -4, 0.4?
0.4
Which is the closest to 1? (a) -3 (b) 4 (c) 0.3
c
Which is the closest to -0.2? (a) 0.1 (b) 1/2 (c) -0.042
c
What is the nearest to 0.08 in 5, -2, -11, 3/4?
3/4
What is the nearest to 0.09 in 170, -3, 3?
3
Which is the closest to -0.1? (a) 10/3 (b) -3/2 (c) 0.1
c
Which is the closest to -1446? (a) -4 (b) -3 (c) 0.4
a
Which is the closest to 2/5? (a) -0.041 (b) -0.1 (c) 3/8 (d) 0
c
What is the nearest to 26 in 0, 1/2, 0.2?
1/2
Which is the nearest to -2/7? (a) -7 (b) 0.4 (c) -5 (d) 5
b
What is the nearest to -0.1 in 0.4, 2, -117/68?
0.4
What is the closest to -0.01 in -2, 2/3, 1/3?
1/3
Which is the closest to 32? (a) -4 (b) 21 (c) 4/3
b
Which is the nearest to -0.04? (a) -2/11 (b) 4 (c) 0.1 (d) | {
"pile_set_name": "DM Mathematics"
} |
y w**(-2/9)*w*(w*w**7*w)/w*w*(w/(w*w*w/w**(-1/2)))**(3/46) assuming w is positive.
w**(7961/828)
Simplify a**(-1/5)/(a*a*a**(-1/3)*a*a)*(a*a/a**(3/5)*a)**25 assuming a is positive.
a**(842/15)
Simplify (d*d*(d*d**(2/7)/d)/d*d)**(24/11)*(d**(-6)/d)/((d*(d*d*d*d/(d*d**6*d))/d)/d) assuming d is positive.
d**(230/77)
Simplify q**(-10)*q**(-5)*(q/(q/((q*((q**0*q)/q)/q*q*q*q*q*q)/q)))**(-8/11) assuming q is positive.
q**(-197/11)
Simplify (((l*l**(7/2))/l)/l)/((l/(l*l**(5/11)))/l*l) assuming l is positive.
l**(65/22)
Simplify ((j/j**0)/j**(-4))/(j/j**(-8)*j**(4/3)) assuming j is positive.
j**(-16/3)
Simplify (s**31*s)/(s/(s*s*s**25*s)) assuming s is positive.
s**59
Simplify j/((j/(j*j**(-3/2)))/j)*j**(-2)*(j**(-5)*j)/((j/((j*(j**4/j*j)/j*j)/j))/j) assuming j is positive.
j**(-3/2)
Simplify ((y/y**(5/4))/(y/y**(-2/5)))**(-4/15) assuming y is positive.
y**(11/25)
Simplify (l**21)**(2/85) assuming l is positive.
l**(42/85)
Simplify ((z*z*z**(-1/6)*z*z)/z**(-3/7))**(-1/12) assuming z is positive.
z**(-179/504)
Simplify (s/(s*s/(s/s**(1/12)*s*s)))/((s*s/(s**(-16)/s)*s)/s) assuming s is positive.
s**(-205/12)
Simplify (v**(-3/7)*v**(-8))/((v/(v/(v**5*v)))/v**(-1/5)) assuming v is positive.
v**(-512/35)
Simplify (x/x**(-2/19))**(-2/173) assuming x is positive.
x**(-42/3287)
Simplify (c/(c*c**(-3/4)))/(c*c**(-3))*c**(-1)/((c/(c**(1/2)*c))/c) assuming c is positive.
c**(13/4)
Simplify f**(-15)/f*f/(f/f**18) assuming f is positive.
f**2
Simplify ((h/((h/h**(-3))/h))/h**(2/7))**(8/7) assuming h is positive.
h**(-128/49)
Simplify (a**(-4/31))**(2/119) assuming a is positive.
a**(-8/3689)
Simplify (b**0)**32*b*b*(b/(b/(b**(-1/4)/b)))/b*b*b**(1/5)*b assuming b is positive.
b**(39/20)
Simplify ((c/((c*c**(-1/4)/c)/c))/c*c)**(-25)*(c**1)**30 assuming c is positive.
c**(-105/4)
Simplify ((s*s**(-1))**39)**(-16) assuming s is positive.
1
Simplify (y**(1/3)*y*y)**15*(y/(y*y/(y**1/y)))**(-44) assuming y is positive.
y**79
Simplify n**(-5/2)/n*n*(n/(n/(n/(n/((n**19*n*n)/n)*n))*n))/n*n assuming n is positive.
n**(31/2)
Simplify (c*(c/(c*c/c**(4/11)*c*c))/c)/c*c**(-17) assuming c is positive.
c**(-227/11)
Simplify (f**6)**(2/17) assuming f is positive.
f**(12/17)
Simplify g*g*g**7*g**(-1/4)*(g*g**1*g)**(2/117) assuming g is positive.
g**(1373/156)
Simplify ((f*f**(-2/3))**(-10/7))**(-10/3) assuming f is positive.
f**(100/63)
Simplify (t/(t/t**(7/8)))**(-2/11) assuming t is positive.
t**(-7/44)
Simplify q/(q*q**(-2/11)/q*q*q)*q**(2/3)*q**(-1/7)*q*q/(q**5/q) assuming q is positive.
q**(-530/231)
Simplify (a**(1/4))**(-1/11)/((a/(((a*a/a**(2/7)*a*a)/a)/a))/(a*a*a*a*a**(1/3)*a*a)) assuming a is positive.
a**(6491/924)
Simplify (d**(-10)/((d**(2/33)/d)/d))**(-31) assuming d is positive.
d**(8246/33)
Simplify ((b/((b**(-1)*b)/b))/(b/b**(-1)))/((b**(3/4)/b)/b*b**(1/7)/b) assuming b is positive.
b**(59/28)
Simplify ((n/n**1)**(15/4))**(-2/9) assuming n is positive.
1
Simplify ((y/(y*y*(y*(y/(((y**13/y)/y)/y))/y)/y)*y)/(y/y**5))**(-16) assuming y is positive.
y**(-224)
Simplify d**(4/9)/d**(2/13) assuming d is positive.
d**(34/117)
Simplify ((v**0)**(3/5))**(21/4) assuming v is positive.
1
Simplify g*(((g/g**22)/g)/g)/g*g/(g**10*g) assuming g is positive.
g**(-33)
Simplify (d*d/((d*d**(-4/5)*d*d)/d))/d**(10/11) assuming d is positive.
d**(-6/55)
Simplify (y*y**(-8)/y*y)/(y**(-7)/y)*y**(2/9)/y*y**1 assuming y is positive.
y**(11/9)
Simplify s**(-7/8)/(s/(s**7/s)) assuming s is positive.
s**(33/8)
Simplify (q**(3/2)*q*q*q*q**(-7))/((q*q*q**(1/4)*q)/q**(1/2)) assuming q is positive.
q**(-21/4)
Simplify (k*k*k**(-9)/k*(k**(2/23)*k)/k)/(k/(k/(k*k/(k**(-9)/k*k*k)))*(k/k**(1/3)*k)/k) assuming k is positive.
k**(-1282/69)
Simplify s**(-9/5)/(s*s*s*s/(s/(s**(-17)*s))) assuming s is positive.
s**(56/5)
Simplify (i/((i*(i*i**(2/5))/i)/i)*i**(-7))/(i**1)**46 assuming i is positive.
i**(-262/5)
Simplify ((x**(-12)/x)/(x**(-1/4)*x))**(-41) assuming x is positive.
x**(2255/4)
Simplify w*w**(-1/5)*w*(w*(w**(3/5)*w)/w)/w assuming w is positive.
w**(12/5)
Simplify ((r*r/(r/(r/(r/((r/(r*((r*(r**(-1)/r)/r)/r)/r))/r))*r*r)*r))**(-2/13))**(5/11) assuming r is positive.
r**(-50/143)
Simplify m**(-4)/m*m**(-8) assuming m is positive.
m**(-13)
Simplify (x**4*x)/(x/x**(-3)*x)*(x**(-4/3)/x)/x*x**(1/4) assuming x is positive.
x**(-37/12)
Simplify j**(1/9)*j*(j/(j**2/j*j)*j)/j*j*(j*j**2*j)/(j*j**(-2)/j) assuming j is positive.
j**(64/9)
Simplify u/(u/u**(-8/7))*u**(2/15)*(((u**0/u)/u)/u)**(-3) assuming u is positive.
u**(839/105)
Simplify (k**11*k)/k*k**(1/15) assuming k is positive.
k**(166/15)
Simplify (w/((w*w*w/(w*w**26*w))/w))**(-10/9) assuming w is positive.
w**(-30)
Simplify (w*(w**34*w)/w*w)/(w/(w/(w*w**(2/87)*w*w*w))) assuming w is positive.
w**(2782/87)
Simplify ((g*g**(-7/2))/g*g/((g/(g**(-8)*g))/g)*g)/(g**(-2/29)/(g**(-10)*g)) assuming g is positive.
g**(-1011/58)
Simplify ((x*x/x**(-7)*x)/(x/x**(1/4)))/((x/(x/x**(3/10)))/(((x/(x/(x/x**(-3/7)))*x)/x)/x)) assuming x is positive.
x**(1313/140)
Simplify (g**(-2)*(g**7*g*g)/g)/((g*g**(-3)/g)/g**(-4)) assuming g is positive.
g**5
Simplify m**(-2/3)*m*m**(-26) assuming m is positive.
m**(-77/3)
Simplify k**(-7)/k**1*(k**(1/3))**(8/11) assuming k is positive.
k**(-256/33)
Simplify (r/r**5*r**2)/(r**(-2/11)*r*r**(-3)) assuming r is positive.
r**(2/11)
Simplify ((c/c**(-1))/(c**(-1/2)/c))/(c**2)**4 assuming c is positive.
c**(-9/2)
Simplify (v/v**(-6)*v/((v*v**(-3)*v)/v))/(v**(1/3)/v*v/(v*v*v*v/(v*(v*v**4*v)/v*v)*v*v*v)) assuming v is positive.
v**(29/3)
Simplify u**(7/2)*u**(1/5)*u*u**0*u*u/(u/((u/(u**(1/6)*u))/u))*u assuming u is positive.
u**(83/15)
Simplify r**(-28)/r*r**(4/3)*r assuming r is positive.
r**(-80/3)
Simplify (l*l**(2/3)/l)**(9/8)*l**6/l**(1/5) assuming l is positive.
l**(131/20)
Simplify (z*z**(1/56))**13 assuming z is positive.
z**(741/56)
Simplify (p/p**(1/36))/((p/(p/p**(11/4)))/p) assuming p is positive.
p**(-7/9)
Simplify (j*j**(2/37)/j)/(j/(j**(4/3)*j))*(j**(-2/9)*j)**8 assuming j is positive.
j**(2534/333)
Simplify ((f*f**(-1)*f*f)**20)**(2/27) assuming f is positive.
f**(80/27)
Simplify ((x/x**(-1/5))/(x/(x/(x/x**(-12))*x)))**39 assuming x is positive.
x**(-2106/5)
Simplify b**(-9/5)/(b*b*b/b**(-1/19)) assuming b is positive.
b**(-461/95)
Simplify (h**(1/2)/(h**(-2/5)*h))**44 assuming h is positive.
h**(-22/5)
Simplify (z**(-2)/z**0)/((z*z**(4/3))/(z**(-5/4)*z)) assuming z is positive.
z**(-55/12)
Simplify (g/g**21)**(-1/39) assuming g is positive.
g**(20/39)
Simplify (m/(((m**(3/2)/m)/m)/m)*m*m*m*m**(-2)*m*m*m)/(m/(m/(m/(m*m*m**(-4/5)*m*m)))*m/(m*m**8)) assuming m is positive.
m**(167/10)
Simplify (t*t**(9/2))/t**(6/7) assuming t is positive.
t**(65/14)
Simplify z*z**5*z*z*z/(z**(-6)/z)*(z/(z*z*z/(z**0/z)*z)*z)**(1/44) assuming z is positive.
z**(701/44)
Simplify u*u*u**(-2/21)*u*u*u/(u*u/u**(9/4)) assuming u is positive.
u**(433/84)
Simplify (h**0/(h/(h/(h*h*h**(10/9)*h*h))*h))**(-25) assuming h is positive.
h**(1375/9)
Simplify ((x*x**1*x)/x)**44*x**(-2/9)*x**3/x assuming x is positive.
x**(808/9)
Simplify ((u/u**(-10))/u)/(u*u*u**(-2/39)*u) assuming u is positive.
u**(275/39)
Simplify (u**(-1/15)*u**8)**(-8) assuming u is positive.
u**(-952/15)
Simplify (i*i**(6/7)*i)**(-2/39) assuming i is positive.
i**(-40/273)
Simplify ((v*v/(v/(v*v/v**(-9)*v)))/v)/((v*v/(v*v/v**6))/v) assuming v is positive.
v**7
Simplify w**9/(w*w**(-14)) assuming w is positive.
w**22
Simplify (x/(x*x**3*x))/x*x*x*x/x**(6/13) assuming x is positive.
x**(-32/13)
Simplify (h/(h*((h/h**0)/h)/h)*h**(-2/3))/(h**(-2)/h*h**(-6)*h*h) assuming h is positive.
h**(22/3)
Simplify (w*w**4*w/w**(-5))**(22/5) assuming w is positive.
w**(242/5)
Simplify (w/(w/(w/(w/w**(-1/2)*w)*w*w)))**(1/13)/(((w*w**(-1/13))/w)/w**2) assuming w is positive.
w**(55/26)
Simplify g/(g*g**(-17))*g*g**(-1/12)*g*g assuming g is positive.
g**(239/12)
Simplify (r*r**(24/7)/r*r)**(-37) assuming r is positive.
r**(-1147/7)
Simplify (b/(b/b**11)*b)/(b/b**13) assuming b is positive.
b**24
Simplify d**(-5)/d*d/(d/(d/(d**19*d)*d)) assuming d is positive.
d**(-24)
Simplify (t**0)**(1/16)/(t/t**(-3/5)*t*t/(t/(t/t**(-2/15))*t)*t) assuming t is positive.
t**(-56/15)
Simplify (z**(-1/4)/(((z/(((z/z**(2/11))/z*z)/z*z))/z)/z))**(-50) assuming z is positive.
z**(-1725/22)
Simplify (f**(-1)/f*f)**(-5/12) | {
"pile_set_name": "DM Mathematics"
} |
ive of 2883*p**5 + 2*p**4 - 24*p**2 + 48444*p wrt p.
57660*p**3 + 24*p**2 - 48
What is the first derivative of -877657*q + 3169005 wrt q?
-877657
What is the first derivative of -63*n*y**3 - 179*n*y**2 - 55*y**3 - 13*y**2 wrt n?
-63*y**3 - 179*y**2
What is the second derivative of -3037*u*v**2 + 26*u*v - 7*u - 30*v**2 + 13*v - 4 wrt v?
-6074*u - 60
What is the derivative of 49663*i*z + 153858*z wrt i?
49663*z
What is the second derivative of -72237*j**4*l - j*l - 4*j - 436*l - 1 wrt j?
-866844*j**2*l
What is the derivative of -404*q**3*t + 444470*q**3 - 3*t**2 wrt t?
-404*q**3 - 6*t
Find the second derivative of -254209*a**4 - 165141*a + 1.
-3050508*a**2
Find the second derivative of -75720*v**4 - 541836*v wrt v.
-908640*v**2
What is the first derivative of 201*p*u**2*x**2 + 5*p*u + 37*u**2 - 35*u + 680*x**2 wrt x?
402*p*u**2*x + 1360*x
What is the third derivative of -2*g**2*j**4 + 2*g**2*j - 288*g*j**4 - 109*g*j**2 - 7*g*j - 2*g + j**3 wrt j?
-48*g**2*j - 6912*g*j + 6
What is the first derivative of 60430*g*t - 25*g - 4660 wrt t?
60430*g
What is the second derivative of -9181*d**3*s**2 - 4*d**2*s**3 + 66*d*s**2 - 19*d*s + 2*d + 15*s**3 - 1 wrt d?
-55086*d*s**2 - 8*s**3
Differentiate 1155*g**2*x**3 - 196260*g**2 - 103*g*x**3 wrt x.
3465*g**2*x**2 - 309*g*x**2
What is the second derivative of u**3 + 39214*u**2 - 3*u + 5988?
6*u + 78428
What is the second derivative of 10*h**3*k**2 + 535*h**2*k**3 + 4*h**2*k - 2*h*k**3 + h*k - 2*k**3 - 3219*k wrt h?
60*h*k**2 + 1070*k**3 + 8*k
What is the derivative of a**3*z + 6*a**3 - 394*a**2 + 147*z**2 + 1 wrt z?
a**3 + 294*z
Find the third derivative of 8*g**4 + 5427*g**3 - 23304*g**2 wrt g.
192*g + 32562
What is the second derivative of -2913*g**2*q**2 - 22*g**2 + 26*g*q**2 + 69*g*q wrt g?
-5826*q**2 - 44
Find the third derivative of -36094*c**3 + 3*c**2 + 23*c - 18.
-216564
Find the third derivative of -12*m**2*x**6 - 952*m**2*x**4 + 5*m**2*x + 3088*m*x**2 wrt x.
-1440*m**2*x**3 - 22848*m**2*x
Find the third derivative of 202613*j*w**3 - j*w**2 - 58*j*w - j + 191*w**2 wrt w.
1215678*j
What is the third derivative of -1383*f**3*v**3 + 9*f**3*v**2 - 31*f**2 + 7*f*v**5 - 2*v**2 wrt v?
-8298*f**3 + 420*f*v**2
Find the third derivative of 3045*y**4 + 4*y**2 - 572*y + 3 wrt y.
73080*y
What is the first derivative of -2*i**2*n + 68*i**2*q + 61351*i*n*q + 11*q + 7 wrt n?
-2*i**2 + 61351*i*q
Find the third derivative of 10304*v**3*w**3 + v**3 + v**2*w**5 + 3*v*w**2 + v + 879*w wrt w.
61824*v**3 + 60*v**2*w**2
Find the first derivative of -170*b*q**4 - 3*b - 11*q**4 - 824 wrt q.
-680*b*q**3 - 44*q**3
What is the derivative of -568*g*h**3*i + 175828*g*h + 64*g*i - 5*h**3*i + h**3 wrt i?
-568*g*h**3 + 64*g - 5*h**3
Find the second derivative of -194*b**3 + 33*b**2*c + b**2 + 2*b*c - b + 2*c - 1044 wrt b.
-1164*b + 66*c + 2
Find the second derivative of 242*o**2*x**3 - 1918*o**2*x**2 - 9243*o*x**3 - 38*o*x - 3*o - 2*x**3 wrt o.
484*x**3 - 3836*x**2
What is the third derivative of -48*b**6 - 6579*b**4*r**3 + 34*b**2*r + 21*b**2 - 90*r**3 wrt b?
-5760*b**3 - 157896*b*r**3
Differentiate 7*b**3*g - 17*b**3 + 27*b - 5618*g - 3 wrt b.
21*b**2*g - 51*b**2 + 27
Find the second derivative of -17658*x**3 + x + 23274 wrt x.
-105948*x
Find the second derivative of 2*n**5 + 3787*n**2*v**2 + n*v**2 + n - 67*v**2 - 54 wrt n.
40*n**3 + 7574*v**2
What is the second derivative of 29041*u**3 + 165*u - 8 wrt u?
174246*u
What is the second derivative of 12*f*o**5 + 29470*f + 2*o**5 + 29*o**2 - 2*o wrt o?
240*f*o**3 + 40*o**3 + 58
Find the first derivative of -240368*q**2 - 112455 wrt q.
-480736*q
What is the derivative of -4706751*b**3*g**3*v + 180*b**3*g**3 - b**3*g + b**3 + 494 wrt v?
-4706751*b**3*g**3
What is the third derivative of -6326*f*w**5 - 2*f*w**2 + 2*f*w + 4934*w**2 wrt w?
-379560*f*w**2
Find the second derivative of -5*y**5 + y**4 - 512*y**2 + 2*y + 17221.
-100*y**3 + 12*y**2 - 1024
What is the second derivative of -2*q**3*r*v**2 - 2*q**3*r*v + 6*q**3*v + 53*q**2*r + 20*q*v**2 + 3*q + 5870*r*v**3 - r*v - 3 wrt v?
-4*q**3*r + 40*q + 35220*r*v
What is the first derivative of -94*i**3 + 3*i**2 + 273*i - 771565 wrt i?
-282*i**2 + 6*i + 273
What is the third derivative of 4*c*u**5*y + 2*c*u**2*y + 2*c*u*y - 198*c*u + 14996*f*u**3*y + f*u**2 + 3*u**2 wrt u?
240*c*u**2*y + 89976*f*y
What is the second derivative of -639*k**2*q**4 - 6*k**2*q**3 - 24*k**2*q - 361*q wrt q?
-7668*k**2*q**2 - 36*k**2*q
What is the third derivative of 1022623*n**3 + n**2 - 340*n - 161?
6135738
Find the first derivative of 11*u**3 - 70*u**2 - 8*u - 4656 wrt u.
33*u**2 - 140*u - 8
Find the first derivative of -2*r**4 - 21*r**3 - 215*r**2 + 12*r - 643943.
-8*r**3 - 63*r**2 - 430*r + 12
Find the second derivative of -485483*w**3 + 2*w**2 - 1184415*w wrt w.
-2912898*w + 4
Find the third derivative of 3*z**5 + 1145*z**4 + 27337*z**2 wrt z.
180*z**2 + 27480*z
Find the second derivative of -173*m**3 - 2579*m**2 - 2674916*m.
-1038*m - 5158
Find the first derivative of -8018*d**2*y + 2*d**2 - d - 68203*y wrt d.
-16036*d*y + 4*d - 1
What is the third derivative of -7*w**4*y**2 - 6190*w**3*y**2 + 3*w**2*y**2 - 279*w**2*y - 12*w**2 - 3 wrt w?
-168*w*y**2 - 37140*y**2
What is the third derivative of g**5 + 927837*g**3 - 12*g**2 - 11*g - 14?
60*g**2 + 5567022
What is the second derivative of -90487*d**2 + 95369*d?
-180974
What is the derivative of -2*d*p - d - 5535*p**2 + 24*p + 1966206 wrt p?
-2*d - 11070*p + 24
What is the third derivative of 6*o**4 + 8772*o**3*z**3 - 2*o**2 - 115*o*z**2 + 308*z**3 wrt o?
144*o + 52632*z**3
Find the second derivative of 274332*t**5 + 136*t - 701.
5486640*t**3
What is the third derivative of -284*d*g**2*x**3 - 33*d*g*x**3 + 7*d*g*x**2 + 2577*g**2*x wrt x?
-1704*d*g**2 - 198*d*g
What is the second derivative of 37078*m**3 - 311974*m - 1?
222468*m
What is the second derivative of 23273*m**2*p*u**2 + 2*m**2*u**2 + 2*m**2*u + 3*m*p*u**2 - 3*m*u - 3*m + 172*p*u + 2*u wrt u?
46546*m**2*p + 4*m**2 + 6*m*p
Find the second derivative of -1080*m*w**3 - 5*m*w**2 + 112*m*w + 16*m + 47*w**2 - 8*w - 2 wrt w.
-6480*m*w - 10*m + 94
Differentiate 871*c**4 - c**2 - 26*c + 80076 wrt c.
3484*c**3 - 2*c - 26
What is the third derivative of 2*o**5*y + 24537*o**4*y**2 - 2*o**2*y**2 - 3*o**2*y + 4482*o**2 wrt o?
120*o**2*y + 588888*o*y**2
Find the second derivative of 1823*h**4 - 33*h**3 + 2*h**2 + 608102*h.
21876*h**2 - 198*h + 4
Find the third derivative of -53616*w**5 + 3*w**2 + 951*w - 1.
-3216960*w**2
What is the second derivative of 2*g**3*y*z**2 - g**3*y*z - 2*g**3*y + 292*g**2*y*z - 187*g**2*y - 2*g*z - 84794*y*z**2 wrt z?
4*g**3*y - 169588*y
Differentiate -3163*h**4 + 2*h**3*u - 69608*u - 3 with respect to h.
-12652*h**3 + 6*h**2*u
Find the second derivative of 2*c**5 + 27913*c**4*u**2 + 24602*c*u**2 wrt c.
40*c**3 + 334956*c**2*u**2
What is the first derivative of 4482772*q**3 + 3831273 wrt q?
13448316*q**2
What is the third derivative of 13785*t**4 + 21*t**3 + 1751837*t**2 wrt t?
330840*t + 126
What is the second derivative of 2532*k**3 - 104*k**2 - 19762*k - 5 wrt k?
15192*k - 208
What is the second derivative of 3*v**3 - 6520*v**2 - 32798*v?
18*v - 13040
Find the first derivative of 224*s**2*y + 158*s**2 + y + 75462 wrt s.
448*s*y + 316*s
What is the second derivative of 9*q**2*r**2 + 166*q**2*r + 3*q**2 + 4192*q*r**2 - 18*q*r + 2*r**2 wrt r?
18*q**2 + 8384*q + 4
What is the third derivative of -6881*g**4 + 9*g**3 + 448173*g**2?
-165144*g + 54
Differentiate 3912591*j - 5564421 with respect to j.
3912591
What is the second derivative of -3*h**2*i**2*k**3 + 2*h**2*i*k**2 + 60*h**2*i + 2*h**2*k + 2*h*i*k**3 - h*i*k**2 - 123968*i**2*k**3 - 8 wrt i?
-6*h**2*k**3 - 247936*k**3
Find the third derivative of -35301*r**3 - 87*r**2 + 58*r.
-211806
Find the second derivative of -27453*d**3*y + d**2*y + d*y + 101642*d wrt d.
-164718*d*y + 2*y
What is the second derivative of 34862*x**4 - 27923*x wrt x?
418344*x**2
What is the third derivative of -86371*g**3 - 67706*g**2?
-518226
What is the second derivative of g**3 - 5007*g**2*x - 4298*g*x + 6*x wrt g?
6*g - 10014*x
Find the second derivative of -4*d*u**3 + 3185*d*u - 196*d - 8044*u**3 + 3*u wrt u.
-24*d*u - 48264*u
Differentiate c**2*n + 68*c**2 + c*n**4 + c - 34437*n + 1348 with respect to n.
c**2 | {
"pile_set_name": "DM Mathematics"
} |
= 4. Let r(l) = -4*k(l) + 3*u(l). Determine j*r(b) + z*c(b).
2*b + 1
Let v = 15 + -8. Let n(b) = 0 - 9*b - 3*b**3 + 15*b - 13*b + 0. Let h(k) be the third derivative of k**6/120 + k**4/12 - 5*k**2. Calculate v*h(d) + 2*n(d).
d**3
Let n(t) = t. Let h(b) = 46. Calculate -h(y) + n(y).
y - 46
Let g(h) be the second derivative of -2/3*h**3 + 0 + 4*h + 1/2*h**2. Let u(j) = -9*j + 1. Give 5*g(t) - 2*u(t).
-2*t + 3
Let a(o) = o**3 - 3*o**2 + 3*o + 1. Let r(c) be the third derivative of c**5/30 - c**4/12 - c**3/3 + 32*c**2. Suppose -10 = -k - 8. Determine k*a(y) + 3*r(y).
2*y**3 - 4
Let o(q) = -12*q**3 - 13*q**2 + 11*q. Let v(p) = 80*p**3 - 39*p**3 + 6*p**2 - 35*p**3 - 5*p. Determine 6*o(h) + 13*v(h).
6*h**3 + h
Let s(p) = p**3 + 21*p**2 + 37*p - 23. Let j be s(-19). Let q(b) = 0*b**2 + 2*b**2 - 9 + 0*b**2 + 5. Let c(m) = -4*m**2 + 9. Determine j*c(i) - 9*q(i).
-2*i**2
Let n(k) = k + 2. Let p = 47 - 51. Let z(c) = 6*c + 11. Give p*z(t) + 22*n(t).
-2*t
Let r(i) = 24*i + 8*i - 10 - 2. Let s(h) = h**2 + 3*h - 66. Let p be s(-9). Let k(v) = -13*v + 5. Determine p*k(j) - 5*r(j).
-4*j
Let f(j) = -5*j - 7. Let o(l) be the second derivative of -l**3/2 - 2*l**2 + 10*l. Suppose -45 = 4*w + 5*p + 19, 2*w = 3*p - 10. Give w*o(k) + 6*f(k).
3*k + 2
Let n(j) = 23*j**2. Let t(g) = -323*g**2. Suppose -37*l - 4*u - 4 = -34*l, -4*l - 5*u = 4. Calculate l*t(q) + 57*n(q).
19*q**2
Let a(t) = -23*t**2 - 4*t - 18. Let v(u) = -u**3 - 22*u**2 - 3*u - 13. Determine -3*a(h) + 4*v(h).
-4*h**3 - 19*h**2 + 2
Let l(q) = 7*q. Let h(j) = j. Let c(v) = 6*h(v) - l(v). Let a(g) = 2*g**2 - 5*g + 3. Let f = 10 + -11. Determine f*a(s) + 5*c(s).
-2*s**2 - 3
Let y(c) = -2*c**2 - 2*c - 4. Let w(l) = l**2 + 3*l + 5. Let g(p) = p**3 - 9*p**2 - 9*p - 13. Let d be g(10). Determine d*y(o) - 2*w(o).
4*o**2 + 2
Let b(q) = 9*q**2 - 2. Let r(l) = 2*l**2 + l - 3. Let w(n) = -n**2 - n + 4. Let c(j) = r(j) + w(j). Determine b(y) + 2*c(y).
11*y**2
Suppose -20*c + 5*c = 60. Let y(b) = 5*b + 4. Let r(n) = -5*n - 3. Calculate c*r(g) - 3*y(g).
5*g
Let m = -961 - -966. Let u(g) = 0*g**2 + 8*g**2 + 5 - g**2. Let a(t) = -10*t**2 - 7. Give m*a(x) + 7*u(x).
-x**2
Let f(u) = 17*u + 7. Let x(w) = 2*w - 1. Give f(m) + x(m).
19*m + 6
Let i = 319 + -149. Let p(k) = 174 + k - 340 + i. Let l(t) = -t - 3. What is 3*l(g) + 2*p(g)?
-g - 1
Suppose 0 = -80*l + 84*l - 4. Let c be -5 - (3 + -5)*l. Let f(t) = -3*t - 4. Let v(s) = 4*s + 5. Determine c*f(x) - 2*v(x).
x + 2
Let a(o) = 2*o**3 + 5*o**2 - o + 5. Let i(w) = -w**3 - w**2 - 1. Let u be (15/6)/((-3)/(-12)*-2). Give u*i(k) - a(k).
3*k**3 + k
Let k(t) = -3*t - 2. Let l(j) be the third derivative of -2*j**4/3 - 5*j**3/3 + j**2 + 30*j. Give -14*k(d) + 3*l(d).
-6*d - 2
Let b(s) = -s**3 + s**2 + s. Let l(j) = -7*j**3 - 4*j. Let n(z) = -2*b(z) + l(z). Let t = 979 - 985. Let h(w) = -w**3 - w. Give t*h(g) + n(g).
g**3 - 2*g**2
Let j(a) = 9*a - 3. Let n(h) = 10*h - 3. What is -7*j(s) + 6*n(s)?
-3*s + 3
Let y(i) be the first derivative of i**3/3 - 8*i**2 + 29*i + 39. Let d be y(14). Let m(x) = -2*x - 2. Let s(u) = 1. Determine d*m(a) + s(a).
-2*a - 1
Let o(x) = 2*x**2 - 2*x + 1. Let v(i) = 19*i**2 - 9*i + 14. What is 4*o(q) - v(q)?
-11*q**2 + q - 10
Let t(s) = -3*s**2 + 2*s - 2. Let h(p) = 5*p - 3*p - 6 + 2*p + 8*p - 10*p**2 - 5*p. Suppose -2*j - 1 - 3 = 0. Calculate j*h(q) + 7*t(q).
-q**2 - 2
Suppose 3*d = -5*o + 10, 5*d + 30 = -21*o + 22*o. Let t(z) = -8*z**3 - 10. Let v(p) = 3*p**3 + 4. Determine o*t(x) + 12*v(x).
-4*x**3 - 2
Let k(n) = 0*n**3 + 2*n**3 + 0*n**3. Let f(i) = -28 + 2*i**3 + 28 - 8*i**3. Suppose 3*q + 0*l + 22 = 5*l, 0 = -5*l - 20. Give q*k(p) - 5*f(p).
2*p**3
Suppose -117*h + 39*h = -234. Let p(d) = -7*d**2 + 2*d + 7. Let y(l) = 6*l**2 - l - 6. Determine h*p(q) + 4*y(q).
3*q**2 + 2*q - 3
Let f(v) = 8*v**2 - 24*v + 24. Suppose -63*c = -61*c + 2. Let i(a) = a**2 - a + 1. Give c*f(s) + 24*i(s).
16*s**2
Let t(a) = -14*a**2 - 6*a - 6. Let y(w) = 7*w**2 + 12*w - 3. Let v(s) = 11*s**2 + 19*s - 5. Let m(k) = -5*v(k) + 8*y(k). Determine -6*m(b) - t(b).
8*b**2
Let v(m) = -2*m**2 + 7*m + 8. Suppose 0 = 5*p - 25*n + 22*n - 24, n - 3 = -2*p. Let s(c) = c**2 - 3*c - 4. Give p*v(q) + 7*s(q).
q**2 - 4
Let n(x) = -1. Let r(f) = -4*f + 4. Let j(d) = d - 2. Let b(t) = 3*j(t) + r(t). Determine b(v) - 3*n(v).
-v + 1
Let n(w) = -6*w**2 + 9*w + 3. Let z(b) = 5*b**2 - 8*b - 3. Suppose -49 = 5*u - 14. Give u*z(q) - 6*n(q).
q**2 + 2*q + 3
Let q(o) = -5*o - 3. Let h(l) be the first derivative of 3*l**2 + 4*l - 4. Let r(f) = -6*h(f) - 5*q(f). Let d(t) = -5*t - 4. Determine 7*d(g) - 3*r(g).
-2*g - 1
Let m(z) = -15*z**2 + 6*z - 6. Let l(w) be the first derivative of w**3/3 - w**2/2 + w + 272. What is -6*l(t) - m(t)?
9*t**2
Let i(a) = 2*a + 1. Let s(w) = -w - 1. Let x be 2/(2/(4 + -2)). Let n(h) = -45*h + 50*h - 5 - x. Let t be n(2). Calculate t*i(m) + 5*s(m).
m - 2
Let n = 210 - 215. Let o(f) = 7*f**3 - 5*f**2 + 5*f - 5. Let c(i) = 60*i**3 - 42*i**2 + 42*i - 42. What is n*c(p) + 42*o(p)?
-6*p**3
Suppose 95*o - 88*o - 7 = 0. Let u(b) = -2*b**3 - 6*b**2 - b. Let x(a) = -a**2 + a. Give o*x(k) + u(k).
-2*k**3 - 7*k**2
Let l(w) = -2*w**2 + 2*w + 2. Let b(d) = -d**2 + 4*d + 52. Give -b(t) + 2*l(t).
-3*t**2 - 48
Let a(x) = 860*x**2 - 1290. Let r(v) = -v**2 + 2. What is a(o) + 645*r(o)?
215*o**2
Let n(g) = -3. Let v(j) = 37*j**2 - j - 14. Calculate 4*n(b) - v(b).
-37*b**2 + b + 2
Let b(d) = 2*d**2 + 35*d + 118. Let w be b(-13). Let r(s) = -7*s - 6. Let g(z) = -z - 1. What is w*r(n) - 5*g(n)?
-2*n - 1
Let n be -3 - (-1 - (-1 + -1)). Let q(t) = 62 + 61 + 94 - 220 - 5*t. Let x(f) = -2*f - 1. Determine n*q(i) + 9*x(i).
2*i + 3
Suppose 145*o + 6 = 143*o. Let a(f) = -f**2 - 3*f + 4. Let r(u) = -u**2 - 3*u + 5. Determine o*a(w) + 2*r(w).
w**2 + 3*w - 2
Let s(b) = -11*b**2 - 2*b - 4. Let d(z) = z**3 - z**2 - z - 1. Calculate 2*d(i) - s(i).
2*i**3 + 9*i**2 + 2
Let f(o) = -4*o - 1. Let h(t) = 11*t + 3. Suppose 3*u - 207 = -2*y - 640, -3*u = 3*y + 432. Let p be (3/(-5))/((-29)/u). Determine p*h(r) - 8*f(r).
-r - 1
Suppose 4*w = 5*n - 7, -5*w + 0*w = 4*n - 22. Let h(c) = 3*c + c - 4 + w*c - 3*c. Let g(y) = 9*y - 11. Determine 6*g(s) - 17*h(s).
3*s + 2
Let i = -2211 - -2207. Let l(a) = -3*a**3 - 4*a**2 + 5*a - 5. Let s(c) = 7*c**3 + 9*c**2 - 11*c + 11. Determine i*s(w) - 9*l(w).
-w**3 - w + 1
Let v(s) = -s + 1. Let y(w) = -1. Let l(m) = -2*v(m) - 2*y(m). Suppose 2*h - 205 = -189. Let n(z) = -5*z - 1. Determine h*l(b) + 3*n(b).
b - 3
Suppose -36*g - 7 = -29*g. Let w(j) = -1. Let x(l) = -2*l + 2. Determine g*w(c) - x(c).
2*c - 1
Let d(j) be the third derivative of j**4/6 + j**3/6 + 186*j**2. Let v(k) = -3*k - 5. Let u(c) = -c - 2. Let b(w) = 5*u(w) - 2*v(w). Give -6*b(m) + 2*d(m).
2*m + 2
Let l be 0 + -1 - (-2 + 0). Let u = -91 - -89. Let g(w) = w - 1. Let n(f) = 4*f - 3. What is l*n(c) + u*g(c)?
2*c - 1
Let h(n) = -3*n**2 - 1. Let m(o) = -43*o**2 + o - 4. Calculate 2*h(y) - m(y).
37*y**2 - y + 2
Let l(u) = u - 1. Let c(q) = q**3 + q**2 + 3*q - 1. What is 2*c(f) + 2*l(f)?
2*f**3 + 2*f**2 + 8*f - 4
Let t(i) = -3*i**2 - 2. Let x(r) = 3*r**2 + r. Let p be x(-1). Suppose -n + 9 = p*n. Suppose -n*k = -k + 10. Let a(j) = -6*j**2 - 5. Calculate k*t(b) + 2*a(b).
3*b**2
Let m(q) = 8*q**3 - 6*q**2 + 2*q + 73. Let y(p) = -7*p**3 + 5*p**2 - 2*p - 72. Determine -5*m(s) - 6*y(s).
2*s**3 + 2*s + 67
Let j(p) = 19*p - 57. Let c(r) = -72*r + 228. Give -4*c(h) - 15*j(h).
3*h - 57
Let r(o) = 2*o**2 + 17 - o**3 - 4*o**2 - 6*o**2 - 23*o - 31*o**3 + 2*o**2. Let l(i) = -11*i**3 - 2*i**2 - 8*i + 6. Calculate -17*l(f) + 6*r(f).
-5*f**3 - 2*f**2 - 2*f
Let r(o) = -20*o + 8. Let q(u) = 1458*u + 8756. Let a be q(-6). Let z(c) = -c - 1. Let b(p) = -17*p + 1. Let n(j) = b(j) - 4*z(j). What is a*n(k) - 5*r(k)?
-4*k
Let r(s) = -2*s + 26. Let v(w) = 7*w - 101. Determine -22*r(u) - 6*v(u).
2*u + 34
Let w(x) = -65*x**2 - 47*x - 13. Let s(k) = 13*k**2 + 9*k + 2. Let q(l) = 11*s(l) + 2*w(l). Let u(n) = -39*n**2 - 14*n + 11. Calculate 11*q(d) + 4*u(d).
-13*d**2 - d
Let b(h) = -2*h**3 - h**2 - 7*h + 7. Let z(s) = -s**3 - s**2 - 3*s + 4. Give 3*b(y) - 5*z(y).
-y**3 + 2*y**2 - 6*y + 1
Let k(l) = 2*l + 2. Let g(t) = -89*t - 4. Give g(o) + 3*k(o).
-83*o + 2
Let h(a) = -2 + 5*a**2 - 4 - 1 + 7*a + 2. Let k(p) be the first derivative of 2*p**3/3 + 3*p**2/2 - 2* | {
"pile_set_name": "DM Mathematics"
} |
- 3). List the prime factors of ((-2)/(-4) - -1)/((-12)/g).
2, 3
Let c = 10081 + -5267. List the prime factors of c.
2, 29, 83
Let n(v) = 7*v**3 - 8*v**2 + 6*v - 5. What are the prime factors of n(4)?
3, 113
Let h(w) = -3*w - 1. Let m be h(-2). Suppose 5*t - 6 - m = 2*l, 0 = -2*l + 3*t - 13. What are the prime factors of ((-492)/48)/(2/l)?
41
Suppose -3270 = -64*o + 59*o. What are the prime factors of o?
2, 3, 109
Suppose 0 = 3*g + 5*h - 2*h - 252, 0 = -3*g - 2*h + 254. What are the prime factors of g?
2, 43
Let d(m) = m**3 + 11*m**2 + 9*m - 7. Let u be d(-10). Suppose 0 = -u*b + 13 + 74. List the prime factors of b.
29
Let v(y) = y**3 - 6*y - 6. Let c(b) = b + 1. Let s(i) = -3*c(i) - v(i). What are the prime factors of s(-3)?
3, 7
Let o be 2 + -3 - -3 - 29. Let v = o + 48. List the prime factors of v.
3, 7
Suppose 0 = 5*p - 20, 27*p - 8696 = -4*z + 30*p. What are the prime factors of z?
7, 311
Let z(s) = -s**3 - 24*s**2 + 211*s + 64. List the prime factors of z(-31).
2, 5
Let m = -3977 - -6934. What are the prime factors of m?
2957
Let k = -16 + 13. Let t be 6/k + 180/2. Suppose t = 5*c - c. What are the prime factors of c?
2, 11
Let d = 6717 + -2210. List the prime factors of d.
4507
Let s(n) be the third derivative of n**6/120 + n**5/15 + n**4/12 + 2*n**3/3 - 2*n**2. Let f be s(-4). Let b = f - -6. List the prime factors of b.
2
Let o(w) = 5*w**2 + 6*w + 20. List the prime factors of o(-7).
223
Let u be 9*3 + (-4)/(-1). Suppose -w + u + 16 = 0. List the prime factors of w.
47
Suppose -h + 1422 = -477. List the prime factors of h.
3, 211
Suppose -n + 2*n = 0. Let f be 2/(4/(-2)) + n. List the prime factors of 28 + 1 + -1 + f.
3
Let c = -101 + 159. Let b(v) = 8*v + 20. Let l be b(-6). Let k = c + l. What are the prime factors of k?
2, 3, 5
Suppose 4 = -2*t, n + 3*t - 365 = 99. What are the prime factors of n?
2, 5, 47
Let z = 41 - -123. Let a = -100 + z. What are the prime factors of a?
2
Suppose 11*z - 12*z - 8 = 0. List the prime factors of (z/6)/(14/(-735)).
2, 5, 7
Let u = 7 + -4. Suppose u*n = -10 + 4. List the prime factors of (-2 - -12) + 4/n.
2
Suppose 0 = 2*k + 7*k. Suppose k*y + 2*y - 6 = 0. Suppose -2*g = y*g - 360. What are the prime factors of g?
2, 3
Suppose 854 = 5*r - 2871. Suppose 5*v + 2*b = r, -5*b + b = 0. List the prime factors of v.
149
Let y = 0 - 22. Let x = y + 38. Suppose 9*q = 8*q + x. List the prime factors of q.
2
Suppose -9*i = 2*r - 8*i - 395, r - 4*i - 220 = 0. What are the prime factors of r?
2, 5
Let v(i) = 3*i**2 - 10*i - 29. What are the prime factors of v(-6)?
139
Let p(t) be the second derivative of t**5/10 - t**4/2 + t**3 - t**2/2 - 3*t. Let m be p(4). Suppose 11*l - 6*l = m. List the prime factors of l.
11
Let t = -906 + 1046. What are the prime factors of t?
2, 5, 7
Suppose b + 4*x - 190 = 0, 3*b + 190 = 4*b + 2*x. Let z = -95 + b. What are the prime factors of z?
5, 19
Let p(r) = -12*r + 5. Let m be p(-4). Suppose 0 = -3*y + o + 420, -m - 244 = -2*y - 5*o. List the prime factors of y.
3, 47
Let l = -21 - 0. What are the prime factors of 2/(-3) - 749/l?
5, 7
Let x(l) = l**3 + 6*l**2 + 4*l + 26. Let s be x(-6). List the prime factors of (1/4*s)/((-3)/(-696)).
2, 29
Let a(z) = 624 - 2*z - z - 589. What are the prime factors of a(6)?
17
Let i(z) = z**3 + 15*z**2 + 11*z - 22. Let s be (1/(-2))/(-4 - 339/(-84)). What are the prime factors of i(s)?
2, 5
Suppose -3*r + 2 = -2*r. Suppose r*v + 0*i = -4*i - 6, 15 = -v - 5*i. List the prime factors of ((-4)/(-5))/(v/50).
2
Suppose 7287 = 5*l + 3*m + 1384, -m - 3539 = -3*l. Let k be 6/21 + l/35. List the prime factors of k/3 + 22/33.
2, 3
Let r be 34/10 - 4/10. Suppose 21*i + 11 = 53. Suppose 5*a - 119 = -i*m, 5*a - 123 = -r*m - m. What are the prime factors of a?
23
What are the prime factors of ((-30)/12 - -1)/((-10)/18700)?
3, 5, 11, 17
Suppose -n = b + 4, 4*b - 2*b + 4 = 2*n. Let d(t) = -2*t + 34*t**2 - 14 + t + 12. What are the prime factors of d(n)?
3, 11
Let f = 1597 + -1599. Let x(d) = 0 - 2*d - 3*d + 3*d**2 - 5. List the prime factors of x(f).
17
Suppose 5*l = 3*v - 0*l - 71, 5*l = v - 7. Suppose v*z + 81 = 33*z. What are the prime factors of z?
3
Suppose -2*k + 9 = k, k - 15 = 3*v. What are the prime factors of ((-202)/v)/(3/(-12)*-1)?
2, 101
Suppose -19*d + 27252 = 1849. What are the prime factors of d?
7, 191
Suppose 2*u + 0*u + 2456 = 4*r, 4*u = -3*r + 1853. List the prime factors of r.
3, 5, 41
Let r(l) = 125*l**2 + 24*l - 87. List the prime factors of r(4).
7, 41
Suppose 3*l - 5663 = 1045. List the prime factors of l.
2, 13, 43
Let h = -275 - -377. What are the prime factors of h?
2, 3, 17
Let m(r) = r**2 - 19*r - 14. Let y be m(9). Let v = y - -168. List the prime factors of v.
2
What are the prime factors of 477/(-636)*11048/(-3)?
2, 1381
Suppose 0 = -11*k + 52*k - 29397. List the prime factors of k.
3, 239
Let s(g) = 22*g**3 + 2*g**2 - 2*g - 2. Let c be s(-2). List the prime factors of (-3 + 2)*1/(2/c).
83
Let m(z) = 11*z - 2 - 3 - 9*z. Let h be m(12). Suppose 3*n - h = 41. List the prime factors of n.
2, 5
Let c = -862 + 1232. Suppose -5*z - q = -621, z + 2*q + c = 4*z. List the prime factors of z.
2, 31
Suppose 1349*g - 1357*g = -232. List the prime factors of g.
29
Let j(k) = k + 1. Let w be j(2). Let b = 0 + 3. Suppose -4*q = -6*s + 3*s - 25, -w*q + 24 = b*s. List the prime factors of q.
7
Suppose 2*c - 5*u = -c + 3873, -2*c + u = -2575. List the prime factors of c.
2, 643
Let g = 773 - -243. What are the prime factors of g?
2, 127
Suppose -z + 32 = 2*b, 5*b - 81 = -0*z - 2*z. Let q = b + 12. Suppose 2*i + q = 3*i. List the prime factors of i.
29
Let y(r) = r**3 + 43*r**2 + 93*r + 8. List the prime factors of y(-40).
2, 17
Let i be (-17)/(-4) + 2/(-8). Suppose 3*r + 0*r = 3*o + 21, -5*r - 1 = 4*o. Suppose r*v = 5*q - 33, -2 = -q - 0*v - i*v. List the prime factors of q.
2, 3
Suppose 219 = 4*w - 193. Suppose 3*l + w = 325. List the prime factors of l.
2, 37
Suppose 0 = 4*f + f - 55. Suppose -12*k = -f*k - 237. List the prime factors of k.
3, 79
Let k(q) = q**3 + 6*q**2 + 4*q + 2. Let p be k(-2). Let b be p/4 - 1/(-2). List the prime factors of (-9)/(b - 0) + 24.
3, 7
Suppose 11*v - 36 + 14 = 0. Suppose -8*x - 312 = -4*n - 4*x, 5*n = 4*x + 393. Suppose f + v*f = n. List the prime factors of f.
3
Let m be 11*49*(10 + -11). What are the prime factors of (0 - 3830/(-14)) + 308/m?
3, 7, 13
Suppose 2*x + 3569 = g, 0 = -4*g + 3*g - 3*x + 3574. What are the prime factors of g?
3571
Suppose -b - 4*b = -195. Let q(o) = -o**2 - 12*o - 26. Let x be q(-4). Suppose x*y + b = w + y, -y = -4*w + 213. List the prime factors of w.
2, 3
Let n be (36/126)/(2/14). Suppose -4*m + 1030 = -n*k, 1301 = 5*m + 2*k - 0*k. List the prime factors of m.
7, 37
Let w(c) = -17*c**3 - 5*c**2 + 2*c + 1. Let u(k) = 17*k**3 + 4*k**2 - k. Let z(i) = -5*u(i) - 4*w(i). List the prime factors of z(-1).
2
Let x be (-74)/(-26) - 14/(-91). Suppose -d + 2 = -x. Suppose d*c = -4*b + 110, b + 0*b = -c + 23. List the prime factors of c.
2, 3
Suppose -5*v + 3*y + 5 = 0, 0*y = -5*y + 25. Let s(j) = 4*j**2 - 2*j + 3. Let w be s(4). Suppose -v*n - n = -r + w, r = -n + 41. List the prime factors of r.
2, 11
Let k = -25 - -24. List the prime factors of (4 + 0 + k)*12.
2, 3
Let r be (11 - 7) + 2 + -2. Suppose -63 = r*z - z. Let y = z - -24. What are the prime factors of y?
3
Let i(l) = -35*l - 208. Let p be i(-6). Let a be (21/(-4))/(5/(-20)). Suppose -3 = -p*v + a. List the prime factors of v.
2, 3
Suppose 3*z = 55*z - 31720. List the prime factors of z.
2, 5, 61
Let x(c) = -c**3 + 14*c**2 + 17*c - 12. List the prime factors of x(9).
2, 3, 7, 13
Let k(f) = 574*f + 235. List the prime factors of k(6).
13, 283
Suppose -s = -4*s + 9, 51 = -2*f + 3*s. What are the prime factors of (22/6 + 1)/(f/(-315))?
2, 5, 7
Suppose -5*y - 5*h + 50 = 0, -3*y + 4*h + 14 = -37. Suppose -f + 2*d + 5 = 0, y = 3*f - 4*d - 8. Suppose -2*j = -j - f. List the prime factors of j.
11
Let b = -90 - -230. What are the prime factors of b?
2, 5, 7
What are the prime factors of (-6590)/(-15) - 84/63?
2, 3, 73
Suppose 944*o = 943*o + 941. What are the prime factors of o?
941
Suppose -24*n - 47518 = -47*n. List the prime factors of n.
2, 1033
Let h(d) = d**3 - 16*d**2 + 4*d - 3. Let c = 50 - 34. What are the prime factors of | {
"pile_set_name": "DM Mathematics"
} |
omposite number?
False
Is 47546 prime?
False
Is 170081 prime?
True
Is 511369 prime?
False
Is 640499 composite?
False
Is 20914 composite?
True
Is 6433 prime?
False
Is 676723 prime?
False
Is 11819 a composite number?
True
Is 176629 prime?
True
Is 148091 a prime number?
True
Is 3341 a composite number?
True
Is 5003 composite?
False
Is 200891 prime?
True
Is 54479 prime?
False
Is 3244951 a prime number?
True
Is 83813 a composite number?
False
Is 23531 prime?
True
Is 17761 a composite number?
False
Is 3137 prime?
True
Is 331481 a composite number?
True
Is 53353 a prime number?
True
Is 7669 prime?
True
Is 103333 a composite number?
False
Is 166983 composite?
True
Is 443 a prime number?
True
Is 56359 a prime number?
True
Is 67679 a composite number?
False
Is 3251 composite?
False
Is 6349 a composite number?
True
Is 47407 composite?
False
Is 38953 a prime number?
True
Is 21467 a composite number?
False
Is 64669 prime?
False
Is 1763 a prime number?
False
Is 141829 a composite number?
False
Is 66221 a composite number?
False
Is 922 composite?
True
Is 110342 a prime number?
False
Is 3271 a prime number?
True
Is 2843 a prime number?
True
Is 1449647 a composite number?
False
Is 1071419 a prime number?
True
Is 4709 composite?
True
Is 76207 a composite number?
False
Is 388991 composite?
False
Is 14909 a composite number?
True
Is 1069 composite?
False
Is 18947 prime?
True
Is 13259 prime?
True
Is 11015 composite?
True
Is 500083 a composite number?
False
Is 12449 composite?
True
Is 356077 a composite number?
False
Is 32117 prime?
True
Is 18587 composite?
False
Is 4141 prime?
False
Is 134933 a composite number?
True
Is 99321 a composite number?
True
Is 1817 prime?
False
Is 12071 composite?
False
Is 160501 a composite number?
True
Is 199021 a composite number?
False
Is 21055 a composite number?
True
Is 202281 a prime number?
False
Is 65371 a prime number?
True
Is 272893 prime?
False
Is 30449 a prime number?
True
Is 199337 prime?
True
Is 83911 a prime number?
True
Is 402889 composite?
True
Is 1793 a composite number?
True
Is 7789 a prime number?
True
Is 217823 composite?
False
Is 22663 composite?
True
Is 2186 a composite number?
True
Is 13589 a prime number?
False
Is 312989 a composite number?
False
Is 136301 prime?
False
Is 941 a prime number?
True
Is 138617 a prime number?
True
Is 1036307 a prime number?
True
Is 741641 a composite number?
False
Is 260849 a prime number?
True
Is 2777 prime?
True
Is 4242539 a prime number?
False
Is 21449 a prime number?
False
Is 3650887 a composite number?
False
Is 281283 a prime number?
False
Is 22403 a composite number?
True
Is 33851 a prime number?
True
Is 99331 prime?
False
Is 106823 a composite number?
False
Is 6689 prime?
True
Is 68777 prime?
True
Is 158177 a prime number?
False
Is 10063 a composite number?
True
Is 1073441 a composite number?
False
Is 4487 a prime number?
False
Is 828587 composite?
False
Is 160807 composite?
False
Is 139 prime?
True
Is 282143 a composite number?
False
Is 223 a composite number?
False
Is 7993 a prime number?
True
Is 257731 a prime number?
True
Is 20987 a prime number?
False
Is 177343 a prime number?
False
Is 1269641 a prime number?
True
Is 14521 a prime number?
False
Is 45995 composite?
True
Is 21865 prime?
False
Is 22469 composite?
False
Is 1352957 prime?
True
Is 3499 a composite number?
False
Is 1517695 prime?
False
Is 15571 prime?
False
Is 255527 prime?
False
Is 101777 a prime number?
False
Is 1361 a prime number?
True
Is 1243111 composite?
False
Is 35285 composite?
True
Is 2153 a prime number?
True
Is 55429 composite?
True
Is 39409 prime?
True
Is 63419 prime?
True
Is 106089 a prime number?
False
Is 15601 a composite number?
False
Is 1967 a composite number?
True
Is 71501 a prime number?
False
Is 23703 composite?
True
Is 1973 a prime number?
True
Is 315509 a composite number?
True
Is 8383 a composite number?
True
Is 236377 a prime number?
True
Is 7235 a prime number?
False
Is 2309 a prime number?
True
Is 71387 prime?
True
Is 129782 a prime number?
False
Is 7349 prime?
True
Is 24763 prime?
True
Is 2687521 a composite number?
False
Is 13483 composite?
True
Is 53657 a prime number?
True
Is 3221137 prime?
True
Is 369743 composite?
True
Is 4133761 a prime number?
True
Is 109867 a composite number?
True
Is 536813 composite?
True
Is 235645 composite?
True
Is 115963 a prime number?
True
Is 509461 prime?
False
Is 45134 composite?
True
Is 428693 a prime number?
True
Is 17729 composite?
False
Is 1550747 a composite number?
True
Is 178643 a composite number?
False
Is 211427 prime?
True
Is 63197 a composite number?
False
Is 3410611 prime?
True
Is 390913 a composite number?
True
Is 22693 a composite number?
True
Is 41267 a prime number?
False
Is 214121 prime?
False
Is 2833 composite?
False
Is 19031 composite?
False
Is 556211 prime?
True
Is 529213 prime?
True
Is 725501 a composite number?
True
Is 108391 prime?
False
Is 59159 a composite number?
False
Is 11537 a prime number?
False
Is 22739 composite?
False
Is 200227 prime?
True
Is 85049 a prime number?
True
Is 26473 prime?
False
Is 125459 composite?
True
Is 641 prime?
True
Is 3079 composite?
False
Is 18839 a composite number?
False
Is 12889 prime?
True
Is 386887 composite?
False
Is 26 a composite number?
True
Is 25693 composite?
False
Is 1524259 a composite number?
True
Is 35023 prime?
True
Is 81053 composite?
True
Is 17211 prime?
False
Is 305341 prime?
False
Is 394046 a composite number?
True
Is 100999 prime?
True
Is 8944691 a composite number?
True
Is 2631 a prime number?
False
Is 7121 composite?
False
Is 215893 a composite number?
False
Is 45281 a composite number?
False
Is 103099 a prime number?
True
Is 150743 composite?
False
Is 16886 composite?
True
Is 109333 composite?
True
Is 2219 composite?
True
Is 73493 a composite number?
True
Is 8033 a prime number?
False
Is 353099 a prime number?
True
Is 229193 a composite number?
True
Is 1682329 composite?
True
Is 1144927 composite?
True
Is 74687 a composite number?
False
Is 22291 a composite number?
False
Is 14767 a composite number?
False
Is 35201 a composite number?
False
Is 62663 composite?
True
Is 22337 a composite number?
True
Is 248917 a prime number?
False
Is 1409335 composite?
True
Is 1361 composite?
False
Is 68557 composite?
True
Is 673 composite?
False
Is 578353 a composite number?
False
Is 4037 prime?
False
Is 34459 prime?
False
Is 37423 prime?
True
Is 107021 a prime number?
True
Is 1710505 a composite number?
True
Is 817 a prime number?
False
Is 205079 composite?
True
Is 170497 composite?
False
Is 70723 a prime number?
False
Is 87473 prime?
True
Is 58031 a composite number?
False
Is 72445 a prime number?
False
Is 2081 composite?
False
Is 36415 a prime number?
False
Is 466853 composite?
False
Is 23 a composite number?
False
Is 42953 composite?
False
Is 146513 prime?
True
Is 295 a composite number?
True
Is 921 a prime number?
False
Is 444579 composite?
True
Is 43133 a prime number?
True
Is 27329 a prime number?
True
Is 552889 a composite number?
True
Is 80299 composite?
True
Is 235615 prime?
False
Is 797 prime?
True
Is 9811 prime?
True
Is 257591 a prime number?
True
Is 967 a prime number?
True
Is 989441 a prime number?
True
Is 869 composite?
True
Is 81071 prime?
True
Is 869905 a prime number?
False
Is 1355 a prime number?
False
Is 18527 prime?
False
Is 10687 composite?
False
Is 3943 prime?
True
Is 131381 composite?
False
Is 3389 prime?
True
Is 34793 prime?
False
Is 5581 a prime number?
True
Is 541 a prime number?
True
Is 2909 a composite number?
False
Is 33037 prime?
True
Is 153817 a prime number?
True
Is 52339 a composite number?
True
Is 1331619 a composite number?
True
Is 2963 a prime number?
True
Is 112459 a composite number?
False
Is 2676259 a prime number?
False
Is 3295 prime?
False
Is 20861 a composite number?
True
Is 2978429 prime?
True
Is 11549 prime?
True
Is 118387 composite?
False
Is 47491 prime?
True
Is 162511 a composite number?
True
Is 41047 prime?
True
Is 195989 composite?
True
Is 216259 prime?
True
Is 55501 prime?
True
Is 441421 a prime number?
True
Is 399851 a composite number?
False
Is 8761 a composite number?
False
Is 5801 a composite number?
False
Is 16547 composite?
False
Is 4897 a prime number?
False
Is 235453 prime?
False
Is 4667 composite?
True
Is 10427 prime?
True
Is 9 | {
"pile_set_name": "DM Mathematics"
} |
.
-1
Let o be (-2 - -6 - 1) + -2. Let s be o/((-5)/(-90)*-3). Let h(w) = -3*w - 19. Let u be h(s). Let l(t) = 6*t**2 - t - 1. Determine l(u).
6
Suppose 6*h = 2*h + 16. Suppose -h = -5*j + 3*j. Let v(c) = 3*c**j - 2*c**3 - 4*c + 2 + c**2 + 0*c**3. Give v(2).
-6
Let r(p) = 1 + 0*p**2 - 9*p + 18*p + 5 + p**2. Let j be (-10)/30 + (-17)/3. Calculate r(j).
-12
Let u(m) = m**2 + 13*m + 4. Let w be u(-6). Let t = -33 - w. Let c(b) = -b**3 + 4*b**2 + 6*b - 7. What is c(t)?
-2
Let g(h) = -4 + 6 + 4*h - h**2 + 5 + 0*h**2. Give g(5).
2
Let a(b) = -15*b + 72. Let p(i) = 14*i - 61. Let t(r) = -6*a(r) - 7*p(r). Give t(-10).
75
Let s(a) = -a**3 + 3*a**2 + 5*a + 2. Suppose 13*h + 12 = 3*q + 9*h, 3*h = 0. Determine s(q).
6
Let i be 0 + 172/42 - 4/42. Let r(v) = -v**2 + 10*v - 9. What is r(i)?
15
Let z(n) be the first derivative of -1/2*n**2 + 2*n + 42. Give z(2).
0
Suppose -2*w + 0*w + 0*w = 0. Let u(o) = -o + 1. Let n = -9 - -15. Let i(h) = 1. Let s(j) = n*i(j) + u(j). Calculate s(w).
7
Let c(n) = -6*n. Let q(f) = 7*f + 1. Let k(m) = -m**2 + 4*m + 7. Let r be k(6). Let s(o) = r*q(o) - 6*c(o). Determine s(4).
-1
Suppose 3*z - 4*s - 22 = 2*z, -2*z = -3*s - 59. Let w(c) = -z - c**2 - c + 26 - c**3 - 6*c**2. What is w(-7)?
-1
Let z(m) = m**3 - 4*m**2 - 2*m - 7. Let w be z(5). Let f be (w/12)/((-1)/(-9)). Let s(y) = 8*y**2 - f*y + 7 - y**2 - 6*y**2. Determine s(5).
2
Let v(g) = -g - 2. Suppose 2*f = 3*a - 79, 0 = 5*a + 5*f + 5 - 145. Suppose 0 = -5*h + 3*l - 2*l - 15, a = -3*h - 3*l. Calculate v(h).
2
Let u be ((-70)/35)/((-2)/(-3))*-1. Let m(j) be the first derivative of 1/2*j**2 + u*j + 1. Determine m(-3).
0
Let m(s) = -2*s + 1. Let r be m(-2). Suppose r*b + 8 = 2*p, b = 5*p + 2*b - 20. Let f(n) = 14*n + n**3 - 8*n - 3 - 2*n**3 + 3*n**2. Calculate f(p).
5
Let z be 1/3 + (-44)/(-12). Let n(q) = q**3 - 4*q**2 + q - 1. Let m be n(z). Suppose -m*l = 3*w + 15, 5*l - w + 33 = 2*w. Let x(a) = a**2 + 8*a + 4. Give x(l).
-8
Let l(c) = 3*c - 19 + 13*c - 6*c - c**2. Let h be l(6). Let r(u) = -u**2 + 2*u + 6. What is r(h)?
-9
Let d(l) = -5*l**2 + 6*l - 3. Suppose -40 = -403*t + 393*t. What is d(t)?
-59
Let v(k) = -k**3 - 4*k**2 - 11*k + 2. Let r(j) = j**3 + 3*j**2 + 10*j - 2. Suppose 0 = -9*h - 25 - 38. Let l(t) = h*r(t) - 6*v(t). Let z = -1 - -4. Give l(z).
-10
Let u(h) = -5*h**2 - h. Let c be 4 - (4/1 + -32). Suppose -4*w + c = -2*w. Let d = 17 - w. Determine u(d).
-6
Let w = -43 - -51. Let a be (w/10)/((-8)/(-5) + -2). Let s(j) = -j - 2 + 0 - 3 + 4. Give s(a).
1
Let h(d) = -7*d**2 + 11*d - 1. Let t(v) = v**2 - v. Let z(a) = -h(a) - 6*t(a). Suppose -109 + 13 = -24*u. Give z(u).
-3
Let g be -6 + (-8 - (-40)/((-24)/(-6))). Let x(u) = u**3 + 5*u**2 + 3*u + 3. What is x(g)?
7
Let z(r) = -15*r**2 - 8*r + 3. Let s(v) = 23*v**2 + 12*v - 4. Let w(j) = -5*s(j) - 8*z(j). Let g(t) = t**2 + 1. Let p(x) = -4*g(x) + w(x). What is p(-6)?
4
Let q(a) = -4*a + 3. Let f(h) = -6*h + 5. Let u(o) = 5*f(o) - 7*q(o). Suppose -1 = 3*b + 14. Let j = -8 - b. Give u(j).
10
Let m(l) = -58*l + 2. Suppose 2*c - 3*n = -1, 18*n - 6 = -2*c + 14*n. Calculate m(c).
-56
Let q(t) = 2*t**3 - 17*t**2 - 8*t - 14. Let x(b) = b**3 - 8*b**2 - 4*b - 6. Let r(g) = -4*q(g) + 9*x(g). What is r(5)?
7
Let b be 8/((-10)/5) - -4. Let y(w) = 2*w - 30. Determine y(b).
-30
Let l = -79 + 79. Let x(n) = -12*n**2 + l*n**3 - 10*n + 17 - 24 + n**3 - 2*n. Determine x(13).
6
Let l = -725 + 725. Let v(r) be the third derivative of 0*r + l + 1/120*r**6 + 7*r**2 + 0*r**4 + 0*r**5 + 1/3*r**3. What is v(2)?
10
Let q be 5*((-4)/30)/(12/(-1818)). Suppose -q = 4*w - 77. Let a(v) = -v - 14. Determine a(w).
-8
Let k(z) = -2*z - 263 + 131 + 130 + z. Give k(-11).
9
Let j(l) be the third derivative of l**5/60 - l**4/24 - 2*l**3/3 - l**2. Suppose 13 = -y - 3. Let i = y + 16. Calculate j(i).
-4
Let h = -2 - 1. Let b(t) be the first derivative of t**2/2 + 2*t + 4. Let p(n) = n. Let v(x) = -b(x) - 4*p(x). Give v(h).
13
Let w(a) = -3*a**3 + 3*a**2 - 16*a + 1. Let n(y) = -2*y**3 + y**2 - 9*y. Let x(t) = 7*n(t) - 4*w(t). Calculate x(-4).
40
Let h(a) = a**2 + 7*a + 1. Let o = 1 + -1. Let u(z) = z**2 + 4*z + 12. Let y(p) = p**2 + 5*p + 14. Let n(l) = -4*u(l) + 3*y(l). Let d be n(o). Determine h(d).
-5
Let q(h) be the third derivative of h**5/60 - 7*h**4/24 + h**3/2 - 125*h**2. Calculate q(4).
-9
Let t(z) = -z**3 + 9*z**2 - 14*z + 3. Let w(v) = -v**2 - 10*v + 238. Let h be w(11). Calculate t(h).
3
Let s(x) be the first derivative of -x**4/4 - 2*x**3 - x**2/2 + 1. Let j be 1046/(-10) + 28/(-70). Let f be 660/j + 4/14. What is s(f)?
6
Let x(m) = 3*m - 2. Let t(y) be the first derivative of -7*y**2/2 + 4*y - 5. Let d(i) = -2*t(i) - 5*x(i). Let v be 0/(-3)*3/(-6). Calculate d(v).
2
Suppose 0 = -4*x + 13*x + 261. Let s = 37 + x. Let l(w) = 2*w - 10. Calculate l(s).
6
Let m(c) be the second derivative of 0*c**3 + 0 - 1/720*c**6 + 0*c**2 - 1/12*c**4 + 3*c - 1/30*c**5. Let g(u) be the third derivative of m(u). Give g(5).
-9
Let a be (-6)/(-27) + (-50)/(-18). Let w(o) = o**3 - o**3 + 1 - o**a - 2*o - 5*o**2 + 2. Let p be 4/10 - (-27)/(-5). Give w(p).
13
Let l(m) = -29*m**2 + 3*m + 34*m**2 + m**3 + 0*m**3 - 2*m - 7. Calculate l(-5).
-12
Let o(x) = 2*x**2 + 26*x - 3*x**2 - 27*x + 0*x**2. Let g(f) = -6*f**2 - 2*f + 3. Let l(d) = g(d) - 5*o(d). Suppose 0 = -2*q + q - 2. What is l(q)?
-7
Let a(s) = -s**2 + 5*s. Suppose 0 = h - 2*n + 8, 4*h + 20 + 4 = 4*n. Let j(d) be the third derivative of d**5/60 + d**4/8 + 8*d**2. Let k be j(h). What is a(k)?
4
Let d(t) be the first derivative of -3*t**2/2 + 96*t + 288. What is d(29)?
9
Let q(r) = 2*r**2 - 4. Let x(v) = -v**2 + 3. Suppose 37*j + 4 = 35*j. Let y(m) = j*q(m) - 3*x(m). Determine y(-1).
-2
Let b = -2 - 34. Let p = b + 38. Let j(s) = 1 + 2 - s**3 - 2*s + 2*s**3. Calculate j(p).
7
Suppose 4*k + 3*s - 59 = 0, 5*k - 3*s - 72 = -5*s. Let i = k - 14. Let h(t) = 2 - t + 8 - 1 - 5. What is h(i)?
4
Let s(q) = -7*q - 81. Let m be s(-11). Let y(k) = -3*k**2 - 5*k + 1. Give y(m).
-27
Suppose -a - 4 + 7 = 0. Suppose -10*g - 2 = -11*g. Let o(f) = 347*f**2 + f**3 - 352*f**2 - g + 6 + 2*f. Give o(a).
-8
Let q(c) = -c**3 - 3*c**2 + 4*c - 2. Let b be q(-4). Let l(t) = 5*t**2 - 1 + 508*t**3 + 5*t**2 - 7*t**2 - 509*t**3. Give l(b).
19
Let d(x) = 2*x + 2. Let y = -11 - -17. Suppose 5*p = 2*p + y. What is d(p)?
6
Let d(v) = -9*v + 6. Let z(o) = 8274 - 8274 - o. Let l(w) = -d(w) + 4*z(w). Give l(5).
19
Suppose 10*m = 6*m + 8. Suppose -5*i = -2*i + 4*k - 34, 17 = m*i - 3*k. Let n(w) = 2*w - 12*w + w + i*w + 3. What is n(-8)?
-5
Let h(j) = 2*j**2 - j + 1. Let v(f) = 5*f**2 - 3*f + 19. Let z(m) = 3*h(m) - v(m). Give z(0).
-16
Suppose 0 = 14*i + 462 - 602. Let z(w) = -3*w + 13. What is z(i)?
-17
Let x(a) = -3*a + 7. Let r(f) = -f + 3. Let d(s) = -2*r(s) + x(s). Determine d(5).
-4
Let i(f) = 14*f**2 + 17*f - 5. Let u(v) = -5*v**2 - 6*v + 2. Let b(h) = 4*i(h) + 11*u(h). Let q(z) = -z**3 - 11*z**2 + 13*z + 8. Let n be q(-12). Give b(n).
10
Let i(c) = c - 3. Let n(j) = -j. Let z(p) = -3*p + 4. Let m(h) = -4*n(h) + z(h). Let g be m(-6). Let v(d) = -d + 2. Let q(o) = g*i(o) - 3*v(o). Calculate q(-4).
-4
Let y(q) = 2*q - 14. Let h(s) = -1. Let d(j) = 42*h(j) - 3*y(j). Let c be d(-1). Let k(a) be the second derivative of a**3/3 - 3*a**2/2 - 2*a. Calculate k(c).
9
Suppose -2*w - 140 = m, -4*m + 3*w = 5*w + 590. Let r be 1/(-6) - m/(-180). Let v(i) = -4*i**3 - i. Determine v(r).
5
Let m(y) be the third derivative of -y**6/120 + y**5/10 - y**4/8 - y**3/6 - 21*y**2. What is m(6)?
-19
Let j(n) = -3*n. Let i be j(-1). Suppose -3*v + 2*a = -14, -2*v + 3*a + 7 = -9. Let y(m) = -i*m + 2*m - 9 + v. Determine y(-5).
-2
Let i(k) be the second derivative of -k**5/20 - 7*k**4/6 - 2*k**3 + 4*k**2 - 5*k - 10. What is i(-13)?
-5
Suppose 44*r - 36 = 8. Let k(f) = 10*f - 7. What is k(r)?
3
Let q(r) = r**2 - 12*r. Suppose 93 = 14*a - 75. Determine q(a).
0
Suppose 0 = 3*k + 15, 3*k + 42 = 4*l + k. Suppose -l*h = 14*h + 110. Let d(z) = z**3 + 5*z**2 - z - 5. Calculate d(h).
0
Let s be (40/(-16))/((-1)/(-2)). Let i(y) = y**2 + 9*y + 10. Give i(s).
-10
Let j(g) = 0 - 4 + g + 7. Let r be j(6). Let k(u) = -3*u + 5. Let h(t) = 7*t - 11. Let c(l) = r*k(l) + 4*h(l). Determine c(6).
7
Let g(a) = -a**3 + 4*a**2 + 4*a - 4. Let k(p) = -6*p**3 + 19*p**2 + 21*p - 21. Let f = -47 + 36. | {
"pile_set_name": "DM Mathematics"
} |
(r) = -5*r**2 + 7*r + 2. Let u be n(0). Sort u, 15, h.
h, u, 15
Let o = -7 + 10. Suppose 2*z - 3 - o = 0. Suppose 5*u - 2*w = 14, -4*u - 3*w = -u. Sort u, 0, z in decreasing order.
z, u, 0
Let t = 2 - -1. Let d = -67 + 203/3. Sort t, d, 1/9 in decreasing order.
t, d, 1/9
Suppose -2*i + 12 = -n, 0 = -4*i - 53*n + 51*n + 16. Let d = 1 - 3. Put d, i, -1 in ascending order.
d, -1, i
Let c = -16 + 18. Suppose 5*y = -3*a - 10, 3*a - 5*y - 4 = -3*y. Sort a, c, 3, -3 in descending order.
3, c, a, -3
Let z = -14 + 9. Sort z, 2, -2/31, 0.3 in ascending order.
z, -2/31, 0.3, 2
Let j(d) = -d**3 - 8*d**2 - 13*d - 7. Let r be j(-6). Let m be (r + -1)*(3 - 68/24). Sort 1/5, -10, 1/4, m in decreasing order.
1/4, 1/5, m, -10
Let f(w) = -w**2 + w + 2. Let g be f(-2). Suppose -4*h + 2*h = -3*i + 40, 20 = 2*i + 2*h. Suppose -19 = -i*y + 17. Put y, 4, g in ascending order.
g, y, 4
Let b = -1503 - -1498. Put 17, b, -4, 5 in descending order.
17, 5, -4, b
Let j = -0.062 - 2.538. Let w = j - -0.6. Let i = -2.8 - -3. Put i, 0.5, w in decreasing order.
0.5, i, w
Let z = 3 + -5. Let p be ((-4)/(-5))/(-2)*12*(-5)/(-156). Let i be (-2)/(-8) - (-1)/(-2). Put i, p, z in ascending order.
z, i, p
Let d(f) = f**3 + 13*f**2 + 11*f - 9. Let v be d(-12). Let i be (-20)/(-2) + 0/2. Suppose k = -4*s + 8, 5*s = -k - 0*s + i. Sort k, -1, v.
-1, k, v
Suppose 17*x = 23*x + 12. Let b be (-8)/20 - 90/25. Put b, x, 2, 1 in increasing order.
b, x, 1, 2
Let j = -915 - -912. Let q be 2/5 - (-37)/(-5). Put 1, j, q in decreasing order.
1, j, q
Let r = -148 - -150.95. Let u = r + 0.05. Let c = u - 3.2. Sort c, -0.3, 1/7 in ascending order.
-0.3, c, 1/7
Let o = -58.22 + 1.22. Let u = 61 + o. Let r = -2 + -3. Put u, r, -0.13 in ascending order.
r, -0.13, u
Let w(b) = -b**2 - 10*b - 17. Let p be w(-4). Let s(y) = -23 + 17 + y + 0*y. Let z be s(6). Put p, z, 3 in ascending order.
z, 3, p
Let f = -216 + 214. Put 5, f, 7 in descending order.
7, 5, f
Suppose 25 = -5*a - 2*i - 2*i, 5*a + 30 = -5*i. Suppose x - p = 1, -4*x - 50 + 12 = 3*p. Sort x, -3, a in descending order.
a, -3, x
Let g = 95/12 + -23/3. Put g, -0.2, -9 in decreasing order.
g, -0.2, -9
Let j = -619/762 - 8/381. Put j, 1/6, -5, 0.6 in ascending order.
-5, j, 1/6, 0.6
Let l = -2 - -7. Suppose d = l - 0. Suppose -3*r - 25 = 2*r. Sort d, -3, r in decreasing order.
d, -3, r
Suppose l - 10 = 2*v - 2*l, -4*v + 3*l = 32. Suppose 0 = -4*w - 3*w. Suppose -3*s + 3 + 0 = w. Sort s, v, 5.
v, s, 5
Let c = -303 + 302.5. Put 0, 0.44, c, -5 in ascending order.
-5, c, 0, 0.44
Let x(n) = -7*n**2 - 20*n + 7. Let y be x(-3). Sort 2, -17, y in ascending order.
-17, 2, y
Let q be -35 - -31 - (-6 - 2). Put 2, 62, q, -1 in descending order.
62, q, 2, -1
Let d(f) = f**2 - 21*f + 18. Let m(r) = 19*r + 1. Let t be m(1). Let j be d(t). Sort j, -1, -5 in increasing order.
-5, j, -1
Suppose 10*q = 15*q + 20. Suppose -2*b + 1 = -j, 5 - 20 = 5*j. Let k be (-1 + b)*1/(-2). Put k, 0, q in increasing order.
q, 0, k
Let q be 0/(7*6/21) - -4. Sort q, -5, 2, 131 in descending order.
131, q, 2, -5
Let o = -1.53 + -1.47. Sort 14, o, -1.
o, -1, 14
Let b = 1 - 7. Let t(u) = -u - 3. Let g be t(0). Let x be 31/5 + -9 + 4/2. Sort x, b, g in increasing order.
b, g, x
Let b be (-3)/(-45) - 62/30. Let a be 11/5 - (-2)/(-10). Sort a, 0, b, 1 in increasing order.
b, 0, 1, a
Let p(w) = w**3 - 5*w**2 + 4*w + 4. Let o be p(4). Let h = 1380 - 1382. Sort 3, o, h.
h, 3, o
Let p = 29 - 41. Let h(c) = -c**2 - 10*c - 6. Let u be h(-9). Let q = p + u. Put q, -3, -2 in ascending order.
q, -3, -2
Let u = -6 + 8. Let h(n) = n**3 - 5*n**2 - 4*n + 1. Let g be h(6). Let j = g + -10. Sort u, 0, j.
0, u, j
Let w be (-78)/(-7 + 4) + 2. Suppose 0 = -8*g - 4 - w. Put 3, 5, g in ascending order.
g, 3, 5
Suppose -7*h - 152 = -96. Let k be 6/(-4)*(-80)/30. Sort -4, 2, h, k.
h, -4, 2, k
Let l = -16.6 - -13.6. Let r = -0.08 - -1.08. Put r, 2, 0, l in decreasing order.
2, r, 0, l
Let q be (-4)/20 + 62/10. Let r be ((-332)/q)/((-15)/9). Let p = r - 33. Put -2/9, 4, p in descending order.
4, p, -2/9
Let y = 3 + -3. Let p(j) = -j**3 + 5*j**2 - 6*j + 3. Let d be p(2). Let f = 6 - d. Sort y, -2, f.
-2, y, f
Let n = 0 - 3. Let c be (-3)/n - 2 - 4. Let h = 94.7 + -95. Put 1/5, c, h in decreasing order.
1/5, h, c
Let f be ((-19)/39 - 28/(-182))*-1. Let s = -8.7 + 1.7. Let q = -11 - s. Sort f, q, 3 in decreasing order.
3, f, q
Let b be -1 + 1 + (1 - -3). Let v be (-4 - 66/(-24))/(1/b). Let j(y) = y - 4. Let c be j(6). Put v, 3, c in increasing order.
v, c, 3
Let u = 0.03 + -0.43. Let g be ((-4)/6)/(7/(-21)). Let n = g - 12/7. Put u, 0.5, n in ascending order.
u, n, 0.5
Let j(c) = -2*c**3 - 15*c**2 + 17*c + 64. Let s be j(-8). Sort -4, 4, -2, s in decreasing order.
4, -2, -4, s
Suppose o + f = -26, f - 7 = -5. Put -1, -2, 0, o in descending order.
0, -1, -2, o
Let t(h) = -h**3 - 2*h**2 + 24*h + 62. Let n be t(-4). Put 54, 2, n in decreasing order.
54, 2, n
Let u(z) = 2*z**2 - 4*z - 9. Let a be u(6). Let s = a + -36. Put -4, 5, s in decreasing order.
5, s, -4
Suppose 3*b - 8*b + 153 = 4*z, 6 = 3*z. Let m = -14 + b. Let q be (-8)/(-6) - m/(-9). Sort q, 4, -1 in ascending order.
-1, q, 4
Let p(h) = -h - 5. Let i be p(-5). Suppose 7*l + 49 + 21 = i. Let y = l - -13. Put -4, y, 2 in increasing order.
-4, 2, y
Let t = 41 - 27. Let w = t + -13.9. Let m = 0.1 - 0.5. Put -3, w, m in ascending order.
-3, m, w
Let v = 6 - 7. Let g = 10 + -6. Let l be 2/(-5) + ((-4)/(-15))/4. Put l, v, g in descending order.
g, l, v
Suppose 3*s = 6*s - 3*y - 12, -3*y - 15 = 0. Put 1, 81, s in decreasing order.
81, 1, s
Let p = 342 - 339.9. Let t = -0.9 + 0.5. Sort -4, 0.2, p, t.
-4, t, 0.2, p
Let g = 1.02 - -57.98. Let d = -57 + g. Put 0.03, d, -0.4, 0.5 in ascending order.
-0.4, 0.03, 0.5, d
Let b = 314 - 301. Sort 1/6, 2/19, b, 5.
2/19, 1/6, 5, b
Let c(x) = -x**3 - 2*x**2 + 27*x + 17. Let t be c(-6). Put t, -1/8, 5, 0 in ascending order.
t, -1/8, 0, 5
Let f(c) = -c**2 - 15*c - 19. Let n be f(-5). Put n, 0, 2, 1 in increasing order.
0, 1, 2, n
Let f be (12/(-20) - 0)*-5. Let a(w) = -4*w**3 - w**2 - w + 1. Let o be a(1). Sort f, o, -4 in ascending order.
o, -4, f
Let c = 610 + -3052/5. Sort 1/6, 11.8, c in increasing order.
c, 1/6, 11.8
Let t = 939 - 1644. Let y be t/(-55) + 4*2/44. Sort 1, -3/7, y in ascending order.
-3/7, 1, y
Let g = -1.999 - -1.909. Let k = 24 + -49/2. Sort k, 0.2, 0.5, g in increasing order.
k, g, 0.2, 0.5
Let q = -0.05 - -3.95. Let f = -4.6 + q. Put -3/5, f, 4 in ascending order.
f, -3/5, 4
Suppose -7*z - 8 = -8*z - 4*a, 16 = -3*z - 2*a. Put 21, -3, z in decreasing order.
21, -3, z
Let m = -28 - -68. Let n = m + -40.5. Sort 0, n, 5 in descending order.
5, 0, n
Let a be (-15)/(-9) - (-4)/(-6). Let t = 13 + -16. Let k = t - -5. Sort k, -5, a in increasing order.
-5, a, k
Let y(b) = -3*b**2 - 11*b - 20. Let r be y(-7). Let x be (2*3)/(r/(-20)). Let s be ((-1)/5)/((-3)/(-5)). Sort s, x, -2.
-2, s, x
Let f be (-8)/(-10) - 24/5. Put 5, -3, -16, f in ascending order.
-16, f, -3, 5
Let z = 1247 - 1250. Sort z, -25, -1 in descending order.
-1, z, -25
Let q = -2.48 - -2.5. Let m = q - -18.98. Let z = 26 - m. Sort 2, z, 4 in increasing order.
2, 4, z
Let p = -0.047 + -15.953. Let r = p - -16.4. Put r, 5, -2/17 in decreasing order.
5, r, -2/17
Suppose 2*n - 32 = -24. Let y(u) = -u**3 - 6*u**2 - 6*u - 6. Let g be ((-10)/(-6))/(2/(-6)). Let k be y(g). Put k, n, 8 in decreasing order.
8, n, k
Let c = 15 - 40. Let h be ((-20)/c)/((-4)/(-10)). Suppose 2*t + 1 = -q - 0*t, q - 2*t + 1 = 0. Sort q, h, -4 in descending order.
h, q, -4
Let i = -337803889/1017 + 332157. Let k = i + -2/339. Sort 0.3, k, -2/5.
-2/5, k, 0.3
Let l(t) = -3*t**2 + 45*t - 8. Let v be l(14). Let a = 203/6 - v. Sort a, -2/27, -4 in descending order.
-2/27, a, -4
Let z = -187 + 2059/11. Let c(n) = n - 33. Let d be c(15). Let p be (d/(-45))/((-28)/(-30)). Sort p, z, -0.2 in descending order.
p, z, -0.2
Let j = 172 + -169. Sort -0.2, -6, j, 1/2 in ascending order.
-6, -0.2, 1/2, j
Let j be (10/(-4))/(13/26). Suppose 0*t + t = -2. Let p be 1 - (-2 + 5 + t). Put p, j, 5 in ascending order.
j, p, 5
Let t(b) = -b**2 + 8*b + 1. Let a(s) = -s - 1. Let v(p) = -2*a(p) - t(p). Let q be v(5). Sort q, -3, 9.
q, -3, 9
Suppose 13*o - 9 = -35. Put o, -3, -29, 2 in decreasing order.
2, o, | {
"pile_set_name": "DM Mathematics"
} |
xvxgfpf.
3/182
Calculate prob of sequence fr when two letters picked without replacement from rrrfffrttrftrrfrf.
3/17
What is prob of sequence oro when three letters picked without replacement from {o: 2, r: 3}?
1/10
What is prob of sequence qo when two letters picked without replacement from {q: 2, o: 1, p: 2, z: 1}?
1/15
Calculate prob of sequence ef when two letters picked without replacement from fbfebe.
2/15
Two letters picked without replacement from xxmzrxxzxzixixixxxb. What is prob of sequence zm?
1/114
Two letters picked without replacement from dzzzdddzictd. What is prob of sequence zt?
1/33
What is prob of sequence fxt when three letters picked without replacement from fxt?
1/6
Two letters picked without replacement from {q: 6, a: 2, i: 1, w: 9}. Give prob of sequence aq.
2/51
Three letters picked without replacement from {l: 7, c: 1, d: 1, s: 3}. Give prob of sequence lds.
7/440
What is prob of sequence gg when two letters picked without replacement from {y: 1, d: 4, c: 3, n: 4, g: 1}?
0
Two letters picked without replacement from wwowwwqdqoqwwo. What is prob of sequence ow?
3/26
Three letters picked without replacement from {h: 3, o: 2}. What is prob of sequence hho?
1/5
Calculate prob of sequence mr when two letters picked without replacement from fffmurmmkuvff.
1/52
Two letters picked without replacement from {m: 4, d: 4, b: 1, x: 2}. What is prob of sequence mb?
2/55
What is prob of sequence zaur when four letters picked without replacement from {z: 2, o: 3, u: 7, a: 3, r: 5}?
7/3876
Calculate prob of sequence ii when two letters picked without replacement from {i: 4, h: 2}.
2/5
What is prob of sequence rxx when three letters picked without replacement from rfgfxggrgrrxr?
5/858
Two letters picked without replacement from {m: 10, y: 9}. What is prob of sequence yy?
4/19
Calculate prob of sequence yv when two letters picked without replacement from yvyb.
1/6
Calculate prob of sequence bm when two letters picked without replacement from mbqmqmbqmqqbbmq.
2/21
What is prob of sequence qmmz when four letters picked without replacement from {m: 2, q: 8, z: 4}?
8/3003
What is prob of sequence zez when three letters picked without replacement from zezzzzzz?
1/8
Four letters picked without replacement from jhnuu. Give prob of sequence jnhu.
1/60
Calculate prob of sequence pv when two letters picked without replacement from {p: 1, m: 5, k: 1, v: 1, g: 1}.
1/72
Calculate prob of sequence yoo when three letters picked without replacement from ooyooooyoooyoooooo.
35/272
Calculate prob of sequence cc when two letters picked without replacement from {z: 2, x: 2, t: 1, d: 1, p: 1, c: 2}.
1/36
What is prob of sequence hr when two letters picked without replacement from {v: 2, c: 1, r: 3, i: 3, e: 1, h: 1}?
3/110
Three letters picked without replacement from {n: 10, g: 1, r: 5, b: 2, k: 2}. What is prob of sequence bbn?
1/342
What is prob of sequence xwk when three letters picked without replacement from {k: 9, m: 1, w: 3, x: 2, c: 3, l: 2}?
3/380
Three letters picked without replacement from rrkivakaakkd. What is prob of sequence dkr?
1/165
Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjjjj.
1
Two letters picked without replacement from {k: 1, j: 12}. What is prob of sequence jk?
1/13
What is prob of sequence dcd when three letters picked without replacement from {o: 7, d: 10, c: 1, p: 2}?
1/76
Two letters picked without replacement from kikikkiiiiiiekikkkii. What is prob of sequence ei?
11/380
Three letters picked without replacement from {b: 2, l: 1, j: 1, o: 1}. Give prob of sequence lob.
1/30
Two letters picked without replacement from {x: 5, u: 14}. What is prob of sequence ux?
35/171
Calculate prob of sequence sy when two letters picked without replacement from {s: 1, d: 3, v: 4, z: 2, y: 2}.
1/66
Two letters picked without replacement from ovfoncww. Give prob of sequence wn.
1/28
Calculate prob of sequence yx when two letters picked without replacement from {y: 6, x: 2}.
3/14
Three letters picked without replacement from {e: 2, k: 1, c: 1}. What is prob of sequence eck?
1/12
Calculate prob of sequence xxxl when four letters picked without replacement from {x: 7, l: 4, c: 6}.
1/68
Two letters picked without replacement from {k: 2, z: 1, r: 1}. What is prob of sequence kk?
1/6
Calculate prob of sequence qh when two letters picked without replacement from {a: 3, q: 3, h: 1}.
1/14
What is prob of sequence zys when three letters picked without replacement from syzpkkp?
1/210
What is prob of sequence oo when two letters picked without replacement from googoooggg?
2/9
Two letters picked without replacement from {y: 6, v: 4}. What is prob of sequence vv?
2/15
Two letters picked without replacement from {x: 1, n: 2, h: 3, s: 3, j: 7, k: 1}. What is prob of sequence nk?
1/136
Two letters picked without replacement from {n: 5, m: 2, i: 5, l: 1, g: 4, v: 3}. Give prob of sequence iv.
3/76
Calculate prob of sequence jn when two letters picked without replacement from {j: 6, p: 2, i: 3, n: 2}.
1/13
What is prob of sequence yyl when three letters picked without replacement from {y: 2, w: 4, e: 3, l: 2}?
2/495
Three letters picked without replacement from jssssjssss. What is prob of sequence sss?
7/15
Calculate prob of sequence dddd when four letters picked without replacement from ddsdsdddsdddddsssqd.
165/1292
Three letters picked without replacement from uuuuhbbjbjb. What is prob of sequence uju?
4/165
Three letters picked without replacement from mmlszlwzzawz. What is prob of sequence mzl?
2/165
Two letters picked without replacement from {c: 2, r: 7}. What is prob of sequence cc?
1/36
Two letters picked without replacement from kvuvkptppkpnvknpn. What is prob of sequence vu?
3/272
Two letters picked without replacement from {d: 18, h: 1}. Give prob of sequence dh.
1/19
Two letters picked without replacement from {j: 4, n: 1, x: 3, b: 4, g: 1}. What is prob of sequence jx?
1/13
Calculate prob of sequence ddu when three letters picked without replacement from yuddm.
1/30
Two letters picked without replacement from {f: 4, a: 7}. Give prob of sequence fa.
14/55
Calculate prob of sequence vv when two letters picked without replacement from xwcevxwceewkxexwvecx.
1/190
Calculate prob of sequence ns when two letters picked without replacement from {n: 7, s: 3, h: 1, c: 3}.
3/26
Four letters picked without replacement from {a: 7, d: 3, t: 8}. What is prob of sequence ddda?
7/12240
Four letters picked without replacement from tztzttttttt. What is prob of sequence ztzz?
0
What is prob of sequence obr when three letters picked without replacement from baborjbbr?
1/63
Calculate prob of sequence zkb when three letters picked without replacement from {k: 1, b: 1, g: 1, z: 1, p: 2, f: 1}.
1/210
Two letters picked without replacement from {q: 2, j: 1, m: 1, s: 2, u: 1}. Give prob of sequence jq.
1/21
Three letters picked without replacement from {r: 1, c: 2}. Give prob of sequence rcc.
1/3
Calculate prob of sequence rrx when three letters picked without replacement from srsrlgxlxbxgxxgxg.
1/340
Two letters picked without replacement from gonoqn. What is prob of sequence gq?
1/30
What is prob of sequence qtrq when four letters picked without replacement from {q: 4, r: 2, t: 1}?
1/35
What is prob of sequence oj when two letters picked without replacement from {o: 1, r: 1, j: 1}?
1/6
What is prob of sequence gg when two letters picked without replacement from vvvgvovovvvogvvogvgv?
3/95
What is prob of sequence klm when three letters picked without replacement from vlnnvvnvnlklkvlm?
1/420
What is prob of sequence bi when two letters picked without replacement from {j: 3, i: 3, k: 3, h: 3, c: 5, b: 2}?
1/57
What is prob of sequence kx when two letters picked without replacement from {s: 3, b: 1, k: 10, x: 1, g: 2}?
5/136
Three letters picked without replacement from ieuuuvue. Give prob of sequence iuu.
1/28
Calculate prob of sequence eee when three letters picked without replacement from feaeeqeeaeaae.
35/286
Three letters picked without replacement from hkh. Give prob of sequence khk.
0
Two letters picked without replacement from ppdnp. What is prob of sequence dp?
3/20
Three letters picked without replacement from aazyozykp. | {
"pile_set_name": "DM Mathematics"
} |
d biggest value in 3, -1, -48, -4, -3?
-3
What is the third biggest value in -42/19, 0, -0.3, -1?
-1
What is the biggest value in -1, 1/4, -0.1, 50?
50
What is the second smallest value in -7, 5, 6, -2/11, 0.1?
-2/11
Which is the fourth smallest value? (a) 4 (b) 0.1 (c) 4/169 (d) 5
d
Which is the third smallest value? (a) 4 (b) -3 (c) 1.4 (d) -1/4
c
What is the smallest value in 11, -3.2, 2/7?
-3.2
Which is the fourth smallest value? (a) 1/8 (b) -1/4 (c) -13/2 (d) 4
d
What is the biggest value in 5, 4, -1/2, 0.11?
5
Which is the biggest value? (a) -1/3 (b) 2 (c) -3/226 (d) -5
b
Which is the fifth smallest value? (a) 0 (b) 0.2 (c) -1/6 (d) 4/3 (e) -5/37
d
What is the fourth biggest value in -0.2, 5, 0.1, 9, 2?
0.1
What is the second biggest value in 3, -6, 2?
2
What is the third smallest value in 0.0307, 4, 0.3?
4
What is the biggest value in -4, -0.218, 2?
2
Which is the second smallest value? (a) 1/2 (b) -0.4 (c) -4/5 (d) 1
b
What is the third smallest value in -2/9, -318, 3/5, -1, -7?
-1
What is the biggest value in 2/7, -2/3, 14?
14
Which is the smallest value? (a) 0.5 (b) 103 (c) 3/22
c
Which is the fourth smallest value? (a) 2/291 (b) -1/6 (c) 3 (d) 0
c
Which is the fourth smallest value? (a) -4 (b) 0.18 (c) 4 (d) -1/3
c
Which is the third smallest value? (a) 72 (b) -2.6 (c) 1/6 (d) 0
c
Which is the third smallest value? (a) 0 (b) -2 (c) -0.1 (d) -12
c
What is the third smallest value in 2, 57, -3/14, 0.08, -3?
0.08
Which is the biggest value? (a) 8 (b) -0.3 (c) -469
a
What is the smallest value in 0.1, 1, 165?
0.1
Which is the third biggest value? (a) 0.1 (b) 1/6 (c) 0.14 (d) -2
a
Which is the third smallest value? (a) 0.4 (b) 481 (c) -1/5
b
Which is the second biggest value? (a) -13 (b) -0.1 (c) 1/5 (d) -5/3
b
What is the smallest value in -0.13, 5, 0, 0.2?
-0.13
Which is the third biggest value? (a) 0 (b) 0.01 (c) -2/9
c
Which is the biggest value? (a) 4 (b) -2 (c) 0.2 (d) -0.035
a
What is the fourth smallest value in 1, 91, 0.4, -3/4, 3?
3
Which is the fourth biggest value? (a) -1/7 (b) 9 (c) -2/13 (d) -0.6 (e) -3
d
Which is the second biggest value? (a) 1/14 (b) 1 (c) -12 (d) 5
b
Which is the smallest value? (a) -1 (b) 44 (c) -2 (d) 4 (e) -1/5
c
Which is the biggest value? (a) -22 (b) 4/5 (c) 1/5
b
What is the smallest value in 58, 0.2, -96?
-96
What is the fourth biggest value in -1, -1/21, -29, 1?
-29
Which is the third smallest value? (a) -2/5 (b) -8 (c) -12 (d) 3/7 (e) -4
e
What is the third smallest value in -5, 4, 1/4, 161?
4
Which is the smallest value? (a) -14 (b) 0.8 (c) -0.2 (d) 8
a
What is the third smallest value in -1/11, 6, -35, 0.1?
0.1
What is the smallest value in 2/7, 95, -1, 2/9?
-1
Which is the fourth smallest value? (a) 4 (b) -1/2 (c) -0.1 (d) -2 (e) 0.1
e
Which is the fifth biggest value? (a) 208 (b) 1/2 (c) 1/4 (d) -1 (e) 0.1
d
What is the third biggest value in 1/4, 0.1, 3, -5?
0.1
Which is the smallest value? (a) 0 (b) -0.1 (c) -0.046
b
Which is the third smallest value? (a) -0.1 (b) -0.263 (c) 5 (d) -4
a
What is the third smallest value in -3, 17, 2?
17
Which is the second biggest value? (a) -2/7 (b) 19 (c) 6 (d) 15 (e) 4
d
What is the third biggest value in 97, -5, -0.1, -1/3?
-1/3
What is the smallest value in 1/2, -0.4, -0.275?
-0.4
What is the biggest value in -5, 11, -2, -0.01?
11
Which is the fifth biggest value? (a) 2/13 (b) 4/5 (c) -0.06 (d) -2/13 (e) 0.4
d
Which is the third smallest value? (a) 4 (b) 1/12 (c) 2/9 (d) -3
c
What is the fifth smallest value in 3, 0.3, -2/11, 3/4, 0.03873?
3
Which is the third biggest value? (a) 25 (b) -56 (c) 4
b
Which is the biggest value? (a) 36 (b) 0.2 (c) 2 (d) -0.2
a
Which is the third smallest value? (a) 4 (b) 0 (c) -75 (d) -4
b
Which is the second biggest value? (a) -1/2 (b) -4 (c) 1/19
a
Which is the fourth smallest value? (a) -4/7 (b) 0.51 (c) -0.2 (d) 5 (e) -0.5
b
Which is the biggest value? (a) 2/11 (b) -0.01 (c) -5 (d) 0.5
d
Which is the third biggest value? (a) -1 (b) 6 (c) 0.06
a
What is the third smallest value in -21, 0.3, -4/7?
0.3
What is the second biggest value in 0.17, 3, -3/5?
0.17
What is the smallest value in 0.8, 1/10, -0.43?
-0.43
What is the fourth smallest value in -3/7, 5, -43, 4, -2/3?
4
Which is the third biggest value? (a) 2/11 (b) -0.5 (c) 12 (d) -1/6
d
What is the third smallest value in -6/11, -1/7, 3/8, -2?
-1/7
What is the fourth biggest value in -4, -0.3, 4, -1/3?
-4
What is the biggest value in -1, 236, 0.4?
236
Which is the third biggest value? (a) 0.5 (b) -0.04 (c) -1/3 (d) -1/11
d
What is the third smallest value in 11, -5, -0.4, -2?
-0.4
What is the third smallest value in 0.01, -2/15, -2, 4?
0.01
Which is the fourth biggest value? (a) 19 (b) -2 (c) 0.04 (d) -5
d
Which is the fourth biggest value? (a) 7 (b) -0.3 (c) -103 (d) -4
c
Which is the smallest value? (a) 4 (b) 3297 (c) 0.3
c
Which is the second smallest value? (a) 3 (b) -5 (c) 430 (d) -4
d
What is the smallest value in -2, 0, 0.6, -13?
-13
Which is the fourth smallest value? (a) 36.9 (b) 1 (c) 1/11 (d) -3/2 (e) 1/2
b
Which is the second smallest value? (a) -0.2 (b) 1/5 (c) -2/925
c
What is the second biggest value in -13, -1, -2/7, 1/8, 2/3?
1/8
Which is the smallest value? (a) 0.3 (b) -5 (c) -0.4 (d) 29 (e) 2/13
b
What is the smallest value in 0.3, 0.12, 6?
0.12
What is the fourth smallest value in 0.1, -29, -16, 2/7, 0.3?
2/7
What is the third smallest value in -0.1, -3, -0.9, -0.4?
-0.4
Which is the biggest value? (a) 16 (b) -0.1 (c) -5 (d) 0 (e) -1
a
Which is the third biggest value? (a) 3/7 (b) -4 (c) -3/7 (d) -2091
b
What is the smallest value in 1/4, -41/3, -1?
-41/3
What is the smallest value in -0.1, 44, -1/7?
-1/7
Which is the smallest value? (a) -2/9 (b) -4 (c) 4 (d) 0 (e) 0.05
b
What is the third biggest value in -1/307, -1, -4, 3?
-1
Which is the third biggest value? (a) -3/76 (b) 4 (c) 23
a
What is the third biggest value in -0.5, 3, -3/7, -0.3?
-3/7
Which is the third biggest value? (a) 8 (b) -1 (c) -18 (d) 0.1
b
Which is the smallest value? (a) 0.5 (b) 1 (c) 2 (d) 2/281
d
Which is the biggest value? (a) -0.1 (b) -449 (c) -3/2 (d) 1/3
d
What is the smallest value in -4/7, 3, 1, -4?
-4
What is the fifth smallest value in -0.3, -5, 0.01, 0.073, 2/5?
2/5
Which is the second biggest value? (a) 37 (b) -1/4 (c) 0.08 (d) -1
c
Which is the third biggest value? (a) -4/9 (b) 61 (c) -0.2
a
Which is the second biggest value? (a) -5 (b) -4.4 (c) 5
b
Which is the smallest value? (a) -2/17 (b) 0.1 (c) -2/135
a
Which is the fourth biggest value? (a) 3/7 (b) -4/7 (c) -3/4 (d) 2.9
c
Which is the third biggest value? (a) -1/3 (b) -0.4 (c) -5 (d) 0.06 (e) 0
a
What is the third smallest value in 5, 3, -4, -0.22?
3
What is the third smallest value in -2, -3, 0.3, -1, 2/35?
-1
What is the third smallest value in 0.3, 0, -1, 0.08, 1?
0.08
What is the third biggest value in -0.2, 67/3, -3/5?
-3/5
Which is the smallest value? (a) 0.1 (b) 0.2 (c) 279
a
Which is the smallest value? (a) -0.5 (b) 2/13 (c) -3
c
Which is the second smallest value? (a) -3/7 (b) -3 (c) 3
a
What is the biggest value in 4, -4, -0.2, -0.22?
4
Which is the smallest value? (a) -1/2 (b) -4 (c) 0.2 (d) -2 (e) -174
e
Which is the third smallest value? (a) -3/2 (b) -2/19 (c) 3 (d) -5
b
What is the third smallest value in 0.1, 1, 4, 12, -8?
1
Which is the third biggest value? (a) 15 (b) -2 (c) -4
c
What is the third smallest value in -2, 3.5, -1/5, 5?
3.5
Which is the biggest value? (a) -3 (b) -0.4 (c) 4 (d) -21
c
Which is the second biggest value? (a) -0.2 (b) 3/4 (c) 0.1 (d) 0.3
d
Which is the smallest value? (a) -0.1 (b) -2/9 (c) 23 (d) 0
b
What is the second smallest value in 4, 0, 50/9?
4
Which is the fourth smallest value? (a) -3 (b) 1 (c) -0.5 (d) -2 (e) 84
b
What is the biggest value in 89, -0.1, -2/3?
89
Which is the third smallest value? (a) 2/5 (b) -5 (c) -30
a
What is the third smallest value in -10, 4, -2, -1/4?
-1/4
Which is the smallest value? (a) -1/408 (b) 1/5 (c) 1 (d) 5 (e) 4
a
Which is the fourth biggest value? ( | {
"pile_set_name": "DM Mathematics"
} |
6).
12
Let t(r) = 3*r - 7. Let d be t(3). Let k(y) = -d*y**2 + y**2 - 3*y + 2*y. What is k(-3)?
-6
Let d(n) be the second derivative of -n**6/360 - n**5/120 - n**4/6 + 3*n. Let t(w) be the third derivative of d(w). Let m = -12 + 17. What is t(m)?
-11
Suppose -3*k = -2*s + 19, -3*s - 7*k = -3*k - 37. Suppose 5*t = r - 10 - 3, -s = 5*t - 2*r. Let q(l) = l**2 + 7*l + 3. Calculate q(t).
-9
Let r(g) = 14*g**3 + 29*g**2 + g - 5. Let u(z) = -5*z**3 - 10*z**2 + 2. Let d(y) = -6*r(y) - 17*u(y). Suppose n + 4*f = -f + 5, f + 25 = 5*n. Calculate d(n).
-9
Let g(v) = -v**3 + 4*v**2 + 6*v + 1. Let b be g(5). Let y(k) = k + 2. Determine y(b).
8
Suppose 0 = -2*m + 2 + 2. Let n(v) be the second derivative of -1/6*v**4 + 0*v**3 - 1/2*v**m - v + 0. What is n(-2)?
-9
Let w(u) be the first derivative of u**6/360 - u**5/30 + u**4/8 + 8*u**3/3 + 4. Let z(m) be the third derivative of w(m). Suppose 6*h = 2*h + 12. Give z(h).
0
Let t be (-2 + 8)*3/9. Let b(v) = -2 - 2*v**2 + 3*v + 0*v**t + v**2 - 9*v. Calculate b(-5).
3
Let t(d) = 0*d**2 - d + d**3 - 1 - 3*d + 3*d**2. Give t(-4).
-1
Let q(t) = t**2 + 3*t - 7. Let b be q(-5). Let p(m) be the first derivative of m**4/4 - m**3 - m**2/2 + 3*m - 1. What is p(b)?
0
Suppose 3*n = 7*n - 76. Let l(g) = -3*g - g**2 + n - 16 - g. Calculate l(-4).
3
Let f(w) = -19*w**3 - 13*w**2 - 5*w - 9. Let j(b) = 5*b**3 + 3*b**2 + b + 2. Let q(h) = -2*f(h) - 9*j(h). Give q(1).
-7
Let m(z) = 13*z**3 - z**2 - 3*z + 15. Let r(y) = -7*y**3 + y**2 + y - 8. Let c(l) = -6*m(l) - 11*r(l). What is c(-6)?
-8
Let n(f) = 7*f**3 - 5*f**2 + 6. Let c(l) = 7*l**3 - 4*l**2 + 5. Let s(w) = 7*c(w) - 6*n(w). Suppose 4*q = -5*x - 17, 1 = q + 4. What is s(x)?
-6
Let f(z) = z + 7*z + 5 + z - 2. Let k(g) = -g. Let v(l) = f(l) + 6*k(l). What is v(-3)?
-6
Let q = 5 + -3. Let h(m) = -4 + 2 + 1 + 0. Let k(z) = -2*z - 2. Let u(g) = 5*h(g) - k(g). Give u(q).
1
Suppose -4*o - 3*w + 4 = 0, o - 6*o + 3*w + 32 = 0. Let r(f) = 6*f + 1. What is r(o)?
25
Let r = -10 - -8. Let x(j) = 0*j**3 - 6*j + j**3 + 3*j - 3. Let i be x(r). Let f(c) = c**3 + 6*c**2 + 3*c - 7. Calculate f(i).
3
Suppose -5*x - 46 + 11 = 0. Let p = x - -4. Let c(s) = -s**2 - 4*s - 2. Let a be c(p). Let t(v) = -v + 1. What is t(a)?
0
Let d(w) = -27*w + 6*w**2 + 14*w + 3*w - 1 + 9*w. Determine d(-1).
6
Suppose 0 = f + 6 - 14. Suppose 1 = -2*y - 5*q, -3*y + 5*q = -4*y - f. Let l = 8 - y. Let s(o) = 8*o. Determine s(l).
8
Suppose 16 = -5*o - 9. Let c(i) be the second derivative of 0 + i**2 - 1/3*i**4 - 1/20*i**5 + 2/3*i**3 + 4*i. What is c(o)?
7
Let z = -3 + 5. Let w(d) = 5 + 2 + d**z - 3. Calculate w(0).
4
Let s(t) = -t**3 - 6*t**2 - 2*t - 1. Let u = -25 - -19. Determine s(u).
11
Let a(x) = -x**3 + 4*x**2 - x - 2. Let l be a(4). Let t be (-4)/l + (-4)/(-3). Let o(c) = 5 + c - c**3 + 2*c**3 - 5*c**2 - 4 - t*c**3. Determine o(-5).
-4
Suppose 0 = -3*p - 4 + 10. Let c(x) = -1 + x**3 + 0*x**3 + 0*x**p - 2*x + x**3 - x**2. Determine c(-1).
-2
Let y(n) = -4*n + 498 - 505 + 6*n. Let w = -5 - -10. What is y(w)?
3
Let o(n) = 3*n - 1. Suppose 7 + 1 = 8*j. Give o(j).
2
Let q(x) be the first derivative of x**6/120 + x**5/20 - x**4/24 + 2*x**3/3 + x**2/2 + 6. Let y(z) be the second derivative of q(z). Calculate y(-3).
7
Let m(y) = 3*y**2 + 1. Let w be m(-1). Let o(k) = k**3 - 4*k**2 - 2*k + 3. Give o(w).
-5
Let f(n) = -n**3 - 9*n**2 - 8*n - 6. Suppose -5*o + 49 = -3*m, -4*m + 4*o = 10 + 42. Give f(m).
-6
Let z(g) be the second derivative of 1/20*g**5 + 2*g + 1/2*g**2 + 1/3*g**3 + 1/4*g**4 + 0. Calculate z(-3).
-5
Let q(n) = n**2 - 5*n - 7. Suppose -5*g + 15 = 5*t, 4*g - 4*t = -g + 42. Calculate q(g).
-1
Suppose -u - 1 + 4 = 0. Let c(x) = 3*x + 3. Let g be c(u). Suppose -2*a = -d - g, -3*a + 13 = -d - 3. Let w(s) = s**3 - 4*s**2. Give w(a).
0
Let j = -16 - -14. Let h(r) = r**3 + 2*r**2 + r - 2. Give h(j).
-4
Let a be (-1)/3*(1 - 40). Let i = 18 - a. Let y(q) = -6*q**2 + 3*q - 4 + 2*q + 3*q**3 - 2*q**3. Give y(i).
-4
Suppose -8 = -5*t + f, -3*f = -4*t + 17 - 4. Suppose 5*h + t = 6, 0 = 5*k + 2*h - 27. Let b be 0 + 2/(2/k). Let o(l) = l**3 - 6*l**2 + 2*l + 7. Give o(b).
-8
Suppose r = -2*r - 6, -3*v + 38 = -r. Let x = v + -17. Let u(p) = p. Let s(m) = -m**2 - 11*m + 4. Let d(w) = -s(w) - 6*u(w). Give d(x).
-4
Suppose -3*p - 5 = -2*p. Let y(q) = -q**3 - 4*q**2 - 5*q - 2*q**2 + 0*q**3 + 5 + 1. What is y(p)?
6
Let o(d) = -d**2 + 13*d + 15. Let m be o(14). Let q be m + (0 + 0 - -3). Let b(w) = w**2 - 2*w - 2. Give b(q).
6
Let k(n) = -15*n. Let o(t) = 23*t. Let d(b) = -8*k(b) - 5*o(b). Determine d(1).
5
Let p(w) be the third derivative of w**6/120 + w**5/10 + w**4/24 + 7*w**3/6 - 30*w**2. Give p(-6).
1
Let q be 170/40 + (-1)/4. Let s(u) = -3 - 7*u + 4*u**2 + q*u**2 - 9*u**2. Calculate s(-3).
9
Let z(u) = u**3 - 12*u**2 + 11*u - 4. Let a be z(11). Let p(b) be the first derivative of -1 + 0*b - 3/2*b**2 - 1/3*b**3. What is p(a)?
-4
Let s be (-2 + 0 - -1) + 2. Let h(l) = -2*l - 6. Let y(w) = 1. Let u(j) = s*h(j) + y(j). Determine u(-6).
7
Let k(w) = w. Let z(n) = -7*n + 12. Let p(v) = -6*k(v) - z(v). What is p(0)?
-12
Suppose -30 = 5*g - 4*n, 0*g - 2*g - 5*n = -21. Let q(l) = -2*l**2 + 2*l + 3. What is q(g)?
-9
Let q(z) be the third derivative of -z**4/4 - z**3/6 - 3*z**2 + 7*z. Suppose -s = 4*s - 5. Suppose -x - s = -0*x. Determine q(x).
5
Let n = -3 + 3. Let p = n - -2. Let j(c) = -6 + 5*c**p + c**2 - 2*c - c**3 - c. Give j(5).
4
Let n(c) = -c + 2. Let u(r) = -r + 3. Let x be u(5). Determine n(x).
4
Let t(k) = -5*k**2 + 2*k + 1. Let n be (3/2)/(7/14). Let g = n - 4. Determine t(g).
-6
Let t = 2 - 5. Let g(u) = -5*u + u - u**2 + 0*u. Calculate g(t).
3
Let y = 17 - 10. Suppose -2*o = -y*o. Suppose o = 2*r + 4, 2*g + r + 12 = -0*r. Let a(j) = -j**3 - 5*j**2 - j - 7. Determine a(g).
-2
Let k(z) = z**2 - 6*z + 5. Let h(r) = 1. Let d(x) = -2*h(x) - k(x). Give d(7).
-14
Let r = 13 - 8. Let f(o) be the second derivative of o**3/3 + o**2 + 2*o + 153. Give f(r).
12
Let n(c) = 3*c + 7. Let g be (-112)/20 + 4/(-10). Let d be 120/(-16)*(-4)/g. Determine n(d).
-8
Let y be (-1 + -3)*3/(-12). Suppose -m + y = 5. Let w = m + 6. Let s(k) = -k**2 + k. Determine s(w).
-2
Let i(w) be the second derivative of 0 + 1/3*w**3 - 1/20*w**5 - w**2 - w - 1/12*w**4. Determine i(-3).
10
Let w be ((-4)/(-6))/((-8)/(-36)). Let b(a) = 5*a**2 - 2*a + 1 + 2*a**3 + 0 - 3*a**w. Let h be 3 - 7/((-14)/4). Calculate b(h).
-9
Let b(g) = -g**2 + 15*g - 6. Let h be b(0). Let t(q) = q. Calculate t(h).
-6
Let l(k) = -k**3 - 4*k**2 - 3*k - 5. Let y(s) = -s**2 + 9*s + 7. Let r(d) = -d**2 + 14*d + 11. Let i(v) = -5*r(v) + 8*y(v). Let g be i(-1). Determine l(g).
7
Suppose n = -2, 2*b = 3*n + 8 + 8. Let m(l) = 2*l**2 - 14*l + 12. Let x(f) = f**2 - 7*f + 6. Let r(j) = -3*m(j) + 7*x(j). Determine r(b).
-4
Let t(h) = -5 + 0 - h**2 - h - 5*h. Suppose -2*c - 4*s = 22, 3*s = -2*c - 2*s - 25. Give t(c).
0
Let a(c) = -c**2 + 1. Let j(v) = -5*v**2 + 6*v + 3. Let b(z) = -4*a(z) + j(z). Give b(5).
4
Let r(s) = -s - 1 + 2 + 5*s. Let p(n) = -n**2 + 6*n - 6. Let l be p(4). Suppose -3*u + 10 = l*u. Give r(u).
9
Let z(n) = -n + 5. Let p(q) = q - 4. Let r(x) = -4*p(x) - 3*z(x). Give r(6).
-5
Let m(b) = -b**2 - 6*b + 1. Let o be m(-6). Let p(w) = 2 + o - 3*w + 2*w - w. Let z = -8 + 11. Determine p(z).
-3
Let f(l) = -l**2 + 11*l - 10. Let r be f(9). Suppose -j + 3*s - r = -5*j, -5*j + 37 = -3*s. Let x(q) = q**2 - 7*q. Give x(j).
-10
Let x(j) be the second derivative of j**3/6 + 5*j**2/2 - 2*j. Let q = 25 + -18. Let z be (-2)/4*(q - -1). What is x(z)?
1
Let h(m) = -m**2 + 5. Suppose -4*f = -3*y + 15, -25 = -f - 3*f - 5*y. Determine h(f).
5
Suppose 19 - 7 = 4*h. Let l(y) = 4*y - 1. Let r(u) = 21*u - 6. Let g(a) = -11*l(a) + 2*r(a). Determine g(h).
-7
Let v(b) = -3*b**2 - 1 + 0*b**2 + b - 12*b**2. Let k be 5/10 - 3/(-6). Give v(k).
-15
Let x(g) = -g**2 + 8*g - 5. Let o(u) = 3*u**2 - 4*u + 2. Let y be o(2). What is x(y)?
7
Suppose 0*b = -3*b + 15. Let m(h) = -4*h**2. Let x(i) = 7*i**2 - i - 1. Let c(w) = -5*m(w) - 3*x(w). Calculate c(b).
-7
Suppose 6 = -3*c - 12. Let f(p) = 5*p. Let t(v) = -6*v + 1. Let n(m) = -5*f(m) - 4*t(m). Calculate n(c).
2
Let x(a) = -3*a + 3. Let l(h) = -h**2. Let r(w) = l(w) - x(w). Suppose -m + 5 = -f - 4*f, 25 = 5*m - 3*f. Calculate r(m).
-13
Let i(w) be the third derivative of | {
"pile_set_name": "DM Mathematics"
} |
+ 29*n(x). Let u(t) = t. Calculate u(y(r)).
-13*r + 67
Let a(q) = 660355*q**2. Let j(o) = -10*o**2. Determine a(j(p)).
66035500*p**4
Let x(f) = -757*f**2 - 48*f - 29. Let z(d) = -151*d**2 - 10*d - 6. Let t(l) = 6*x(l) - 29*z(l). Let j(g) = 2*g + 6. Determine t(j(n)).
-652*n**2 - 3908*n - 5856
Let n(k) be the second derivative of 0*k**3 + 3/8*k**4 - 13/2*k**2 + 0 - 17*k. Let r(q) be the first derivative of n(q). Let c(y) = -2*y**2. Give c(r(x)).
-162*x**2
Let c(z) = 9*z. Let k(l) = -159449*l**2. What is c(k(y))?
-1435041*y**2
Let r(d) be the second derivative of 0 - 25/6*d**3 + 0*d**2 - 115*d. Let m(n) = 2*n. Calculate m(r(x)).
-50*x
Let q(x) = 6*x. Let p(m) = 3*m**2 + 4*m - 17. Let y be p(3). Let i(v) = 44 - y*v - 44. Calculate q(i(w)).
-132*w
Let g(u) be the third derivative of -u**4/24 + 2*u**2. Let s(v) = -1397*v - 1403*v - 1392*v - 1394*v + 5565*v. Determine g(s(j)).
21*j
Let o(q) = -48*q**2 - 15*q. Let z(x) = 25*x**2 + 6*x. Let f(c) = 2*o(c) + 5*z(c). Let y(b) be the third derivative of -b**4/6 + 18*b**2 - 2*b. Give f(y(n)).
464*n**2
Let s(a) = -109*a**2 - 8*a - 16. Let r(x) = 13*x**2 + x + 2. Let b(o) = 8*r(o) + s(o). Let k(u) = -10*u**2. Determine k(b(g)).
-250*g**4
Let s(f) = 14*f - 1813. Let a(q) = 2*q**2 - 207*q - 4. Determine s(a(h)).
28*h**2 - 2898*h - 1869
Let h(v) = -v**2. Let m(q) be the second derivative of -q**3/2 - 26*q**2 - 412*q. What is h(m(u))?
-9*u**2 - 312*u - 2704
Suppose 11*v - 1694 - 2376 = 0. Let j(u) = v - 370 + 5*u. Let y(r) = -68*r**2. Give y(j(s)).
-1700*s**2
Let p(f) be the first derivative of 15*f**2/2 + 8. Let t(y) = -y**2 + 15927 + 3*y**2 - 31844 + 15917. Determine t(p(l)).
450*l**2
Let u(c) = c. Let z be (-1*1 - -4)/(66/88). Let h(m) = z + 5*m + 9 - 9. Calculate h(u(o)).
5*o + 4
Let k(i) = -368567*i. Let o(f) = -17*f**2. Give o(k(v)).
-2309307769313*v**2
Let c(m) = -212*m - 219*m - 237*m + 879*m - 231*m. Let w(x) = -9*x - 12. Calculate c(w(a)).
180*a + 240
Let u(r) = 70*r. Suppose v + 53 = 5*k, 32 = 5*k - 4*v - 30. Let y(m) = -29 + 3*m**2 + 18 + 1 + k. Calculate u(y(g)).
210*g**2
Let f(r) = -r. Let y(u) = 352327106*u**2. What is y(f(i))?
352327106*i**2
Let w(c) be the second derivative of c**3/3 - 36*c + 42. Let s(g) = -1629*g. Determine w(s(v)).
-3258*v
Let p(x) = 2*x**2 - 65. Let r(t) = -32 + 2*t**2 - 31 + 100 - 37. What is r(p(c))?
8*c**4 - 520*c**2 + 8450
Let a(h) = 2*h**2. Let n(k) = 50*k - 86*k + 117*k + 714*k + 109*k. What is a(n(z))?
1634432*z**2
Let s(j) be the third derivative of -7*j**5/60 - 7*j**4/8 + j**2 - 140. Let i(t) = t. Calculate s(i(k)).
-7*k**2 - 21*k
Suppose 20*n - 21*n = 4*k - 52, 5*n - 13 = -k. Let x(c) be the first derivative of 0*c**2 + 0*c + 1/3*c**3 - k. Let f(m) = -2*m. Calculate x(f(w)).
4*w**2
Let q = 408 - 406. Let t(k) = 50 + 12*k**2 - 6*k**q - 52. Let l(j) = -7*j**2. Give t(l(r)).
294*r**4 - 2
Let x(c) = -40*c + 5. Let z(r) = -15*r + 2. Let a(m) = 2*x(m) - 5*z(m). Let d(y) be the second derivative of 0 + 0*y**2 + 6*y - 2/3*y**3. Calculate d(a(g)).
20*g
Let h(x) = -24*x. Let n(k) = 194*k**2 - 33*k + 44. Let z(s) = 97*s**2 - 18*s + 24. Let a(w) = -6*n(w) + 11*z(w). Determine h(a(v)).
2328*v**2
Let t(f) = -258*f**2 + 2*f - 2. Let v(b) = -4*b**2 + 15*b. Let r(c) = -9*c**2 + 35*c. Let n(m) = 3*r(m) - 7*v(m). Determine t(n(u)).
-258*u**4 + 2*u**2 - 2
Let q(y) be the first derivative of -2/3*y**3 + 0*y**2 - 57 + 0*y. Let x(t) = 12*t**2. Give q(x(v)).
-288*v**4
Let g(s) = -2*s**2. Let t(l) = -13508377*l. Calculate t(g(c)).
27016754*c**2
Let h(l) = -2587*l**2. Let i(n) = -1970*n - 2. Give i(h(w)).
5096390*w**2 - 2
Let s(f) = 21*f**2 - 5. Let n(z) = -43*z + 14. Let t(x) = 30*x - 10. Let w(m) = 5*n(m) + 7*t(m). Determine w(s(a)).
-105*a**2 + 25
Let v(h) be the second derivative of h**5/12 + 119*h**2/2 - 68*h. Let p(s) be the first derivative of v(s). Let l(x) = -x**2 - x**2 - 2*x**2. Calculate l(p(t)).
-100*t**4
Let j(l) = l**2 - 8. Let q(c) = 5*c**2 - 44. Let t(k) = -22*j(k) + 4*q(k). Let r(a) = 445*a**2. Determine r(t(d)).
1780*d**4
Let s(x) = 3*x**2. Let y(g) be the first derivative of -1268*g**2 - 5271. Determine s(y(m)).
19293888*m**2
Let l(q) = 2*q. Let v(o) be the second derivative of -19/12*o**4 + 0 - 1/2*o**2 + 74*o + 0*o**3. Give v(l(c)).
-76*c**2 - 1
Let d = 57 - 57. Suppose 4*y - 9*y + 10 = d. Let u(p) = -12*p - y*p + 4*p. Let f(q) = -4*q. Give u(f(c)).
40*c
Let n(g) be the first derivative of -g**3/3 + 1. Let l be (1*-2)/(41/(-1312)). Let t(p) = -34 - 5*p + l - 30. Determine n(t(w)).
-25*w**2
Let q(p) = p. Let s(g) be the third derivative of -61*g**6/360 - g**4/3 + 5*g**3/6 - 15*g**2. Let j(m) be the second derivative of s(m). Give q(j(v)).
-122*v
Let f(l) = -3*l + 2*l - 2*l. Let z(q) = q**2 + 3. Let k(v) be the third derivative of v**5/15 + 3*v**3/2 - 74*v**2. Let x(a) = k(a) - 3*z(a). What is x(f(s))?
9*s**2
Let k(z) = z**2 + 40. Suppose 3*h - 4*h - 4*v - 10 = 0, 5*v = -4*h - 7. Let i(l) = h*l**2 - 3*l**2 + 748 - 748. Determine i(k(c)).
-c**4 - 80*c**2 - 1600
Let s(b) = -16*b**2 - 12*b - 51. Let h(l) = 18*l**2 + 10*l + 49. Let v(n) = 6*h(n) + 5*s(n). Let g(z) = z. Determine g(v(q)).
28*q**2 + 39
Let v(s) = 2*s**2 - 10. Let h(b) = 10*b - 49. Let j(m) = 2*m - 7. Let r(g) = -2*h(g) + 14*j(g). Determine r(v(y)).
16*y**2 - 80
Let g(w) be the third derivative of 2*w**2 - 28 + 0*w**4 + 0*w**3 + 1/15*w**5 + 0*w. Let t(x) = 3*x**2. Determine g(t(u)).
36*u**4
Let s(x) = 3*x - 11. Let f(p) = 174*p - 37. Let r(q) = 14*q - 3. Let w(u) = 6*f(u) - 74*r(u). Calculate w(s(l)).
24*l - 88
Let y(i) = -3*i**2. Let w(r) = 360*r**2 - 25316. Calculate w(y(v)).
3240*v**4 - 25316
Let q(s) = 2*s**2 + 37925199*s - 1. Let v(g) = -2*g. Give v(q(k)).
-4*k**2 - 75850398*k + 2
Let s(d) = d. Let g(m) = -3*m**2 + 32*m + 271. Let k(b) = -b**2 + 7*b + 68. Let a(l) = 2*g(l) - 9*k(l). Determine s(a(j)).
3*j**2 + j - 70
Let h(p) = 266*p - 5. Let o(d) = 873*d - 15. Let z(s) = -8*h(s) + 3*o(s). Let j(u) = -u. Give z(j(x)).
-491*x - 5
Let z(j) = -2811*j**2 - 236*j + 18. Let y(t) = 24*t. Give y(z(l)).
-67464*l**2 - 5664*l + 432
Let i(h) = -17*h. Let l(k) = -2266345*k**2. Give l(i(v)).
-654973705*v**2
Let g(c) = -3*c - 23*c + 71 - 33 - 38. Let a(x) = -x - 92. What is a(g(b))?
26*b - 92
Let u(p) = -5*p**2 + p. Let f(n) = 21*n**2 - 4*n. Let y(q) = 2*f(q) + 9*u(q). Let r(k) = 5*k. Give y(r(o)).
-75*o**2 + 5*o
Let p(n) = -19*n**2. Let c = 18543 + -18541. Let v(m) be the first derivative of -38 + 0*m + 0*m**c - 2/3*m**3. Give v(p(q)).
-722*q**4
Let d(k) = -5*k**2. Let a(b) = -5*b + 2 + b + 3*b + 2*b. Let y(m) = 7*m + 10. Let j(p) = -5*a(p) + y(p). Give j(d(v)).
-10*v**2
Let j(h) = 23156046*h. Let s(u) = -2*u**2. What is j(s(o))?
-46312092*o**2
Let h(u) = u. Let m(o) = 6*o + 2. Let r(v) = -41*v - 15. Let s(j) = -30*m(j) - 4*r(j). Give s(h(d)).
-16*d
Let d(o) = -18*o**2. Let t(f) = 86*f + 2295. Determine t(d(s)).
-1548*s**2 + 2295
Let t(s) = s**2 + 178*s + 177. Let i be t(-1). Let b(g) be the second derivative of -31*g + 1/6*g**3 + i + 0*g**2. Let f(l) = -31*l**2. What is f(b(c))?
-31*c**2
Let a(v) = -21*v**2. Let o(x) be the first derivative of 51*x**2/2 - 1615. Give o(a(k)).
-1071*k**2
Let v(s) = 9463175*s**2. Let a(q) = -2*q. Determine a(v(g)).
-18926350*g**2
Let r(a) = -175*a. Let u(p) = -p**2 + 3944*p + 3. Calculate u(r(d)).
-30625*d**2 - 690200*d + 3
Let d(x) = 3*x + 1. Suppose 90 = 2*g - a, -27*g + 30*g - 121 = 5*a. Let i(n) = -3*n**2 - g*n + 4*n**2 + 47*n. What is i(d(s))?
9*s**2 + 6*s + 1
Let y(d) = -4955*d. Let a(p) = -30640*p. What is a(y(u))?
151821200*u
Let o(j) = -2*j**2. Suppose 3*m - 4*x + 5458 = 41224, -2*x = 5*m - 59636. Let y(g) = -g - 12*g + 11926 - m. Determine o(y(p)).
-338*p**2
Let h(t) = 5*t. Let u(v) = -17683272*v. Give h(u(z)).
-88416360*z
Let m(i) = -i. Suppose 10*x + 2*x - 348 = 0. Let b(q) = -2*q + x*q - 14*q + 39*q. Give b(m(t)).
-52*t
Let n(i) be the third derivative of -i**7/1260 + 7*i**5/5 - 2*i**2 - 4*i. Let x(r) be the third derivative of n(r). Let d(h) = 2*h. Calculate d(x(u)).
-8*u
Let i(m) = 2*m - 6. Let j(t) = -4*t + 13. Let y(w) = -13*i(w) - 6*j(w). Let k(c) be the first derivative of -22*c**2 + 54 + 28*c**2 + 6. Calculate y(k(z)).
-24*z
Suppose -119 = -4*z - 11*b + 16*b, 4*z + 2*b - 98 = 0. Let m(a) = -11*a - 14*a - 10*a + z*a. Let l(f) = -6*f. Determine m(l(s)).
54*s
Let y( | {
"pile_set_name": "DM Mathematics"
} |
+ -14563/36395. What is the third smallest value in y, r, -0.06?
y
Let p = 16.1 + -16.08. Which is the second biggest value? (a) -3 (b) 1 (c) p
c
Let y = 0.0367 + -0.5437. Let h = y - -0.307. Let k(l) = l**2 + 4*l - 5. Let g be k(-5). Which is the second smallest value? (a) -0.05 (b) h (c) g
a
Let n be 13 + 2*(5 - 3) + -8. Let y(i) = i**3 - 11*i**2 + 19*i - 6. Let f be y(n). Let h = 2.5 - 0.5. What is the fourth biggest value in -1/6, h, f, -5?
-5
Let l = 3483 + -3483.2. Let s = -9671263/60 + 161199. Let v = 56/5 - s. Which is the second smallest value? (a) l (b) v (c) 3
b
Let w = -3 + 6. Suppose -g - 16*g + 391 = 0. Suppose 18 = 17*t - g*t. Which is the third smallest value? (a) t (b) -2 (c) w
c
Suppose -8*j + 2*j = 4*j + 10. What is the fourth biggest value in 2/5, 0.2, -4, 3/2, j?
j
Suppose -3*v - 2 = 4. Let d be (14/(-6) - v)/1. Suppose -17 - 12 = 5*g + x, 12 = -3*x. Which is the third smallest value? (a) -2/5 (b) g (c) d
c
Suppose 5*q - 4*n + 24 = -21, -2*q + 2*n - 20 = 0. What is the smallest value in -24, 0.3, q?
-24
Let n = 2.528 + -2.63. Let k = -0.198 + n. What is the fourth biggest value in 0, 0.4, 14, k?
k
Let g be -3 - 7/4*380/(-225). Let t = 3.4 + 6.6. Let s = t - 11. Which is the third smallest value? (a) s (b) g (c) -2/11
b
Let u = 0.1 + 0.4. Suppose 166 = 4*h + i, -19*i + 24*i = 30. What is the third biggest value in u, h, 1, -1/6?
u
Suppose -4*g + 22 = -4*d - 2*g, g = 3. Let k be 12/d + 30/8. Let q = -1775 - -1775.2. Which is the biggest value? (a) k (b) -5 (c) q
a
Suppose 125*u = 120*u - 980. Let y be (-15)/(-20) - (-203)/u*1. Which is the smallest value? (a) y (b) 2 (c) 1
a
Let k = -31273/7 - -4455. Which is the second smallest value? (a) -7 (b) k (c) 2
a
Let y = 8 - 13. Let w = -5.5 - y. Suppose 651*l - 656*l + 15 = 0. Which is the second biggest value? (a) -9 (b) w (c) l
b
Let j be 134/603 - (-303)/(-1242). Which is the fifth smallest value? (a) 0.7 (b) -3 (c) -2 (d) 1/4 (e) j
a
Let p = -179.51 + 178.51. Which is the fourth biggest value? (a) p (b) -2 (c) -8 (d) 1/55
c
Let w be (1/(-26))/(799/(-94)). Let z = w - -437/1105. What is the biggest value in z, 4, -1?
4
Let t = 11.41 - -38.29. Let k = t + -53.7. Let h = 5 - 2. Which is the second biggest value? (a) k (b) 0.06 (c) -0.1 (d) h
b
Let z = -44919 + 44907. Let i = -0.2 - -1.2. What is the biggest value in z, i, -3?
i
Let r = -2.603 - -2.503. Let v = 9.2 + -5.31. Let u = 0.11 + v. Which is the smallest value? (a) u (b) r (c) 9
b
Let n = -22.61 + 22.81. What is the biggest value in 5, n, 5/7, -3/4?
5
Suppose -2*k = l - 7, 0*k = -k - 2*l - 1. Suppose 42 + 3 = 3*b + 5*w, -4*b + k*w = -60. Let h be 1/2*12/b. What is the biggest value in 1, h, -0.09, 5?
5
Let d = -7701 - -2564435/333. Which is the biggest value? (a) d (b) -2/5 (c) -4/3
a
Let z = 22038 - 22067. Which is the fifth biggest value? (a) 1.5 (b) 1/3 (c) 3/4 (d) z (e) -4
d
Let t = 1.31 + -0.21. Let d = -14.8 + 13.2. Let k = d + t. Which is the third biggest value? (a) 7 (b) k (c) -0.2
b
Let o = 90.187 - 3.187. What is the second biggest value in -4, o, -3, 6/11?
6/11
Let g be 0 + -1 + (3 - -1). Let y(i) = -17*i - 259. Let m be y(-11). Let o be (-6)/g - m/38. What is the second biggest value in -2/13, 2, o?
o
Let s = 8 - 6. Let o = 4.6 + 15.4. Let f = o - 23. Which is the fourth biggest value? (a) 3/2 (b) -4 (c) f (d) s
b
Let x = -220.71 - -221.21. Which is the second biggest value? (a) 4448/7 (b) -3 (c) -2 (d) x (e) -4
d
Let m be -22 - (-58 - -30) - (-19)/(-3). Which is the fourth biggest value? (a) m (b) -1/2 (c) 1/69 (d) -8
d
Let j be (-10)/42 - (555/21 - 26). What is the second biggest value in 5, -0.158, 1, j, -0.5?
1
Let m(s) = 4070*s - 8119. Let j be m(2). Which is the second smallest value? (a) j (b) 2/17 (c) -405
b
Suppose -33 = 7*a + 2. Let b = 108 + -107. What is the second biggest value in 0.25, b, a, -0.5?
0.25
Let p = 3830 - 3828. What is the second biggest value in 358, p, -2/29?
p
Let h = -22712.4 - -22713. Suppose 3*x + x - 8 = 0. What is the second smallest value in x, 2/37, h?
h
Let w = -1.1745 - 0.8255. What is the biggest value in 29, -4, 5, w, 0.3?
29
Let g = 0.08 + -191.08. Let u = g - -190.8. Which is the third biggest value? (a) 7 (b) -4 (c) u
b
Let f = 2417.21 + -2417. Which is the fourth smallest value? (a) 0.06 (b) f (c) -4 (d) -0.2
b
Suppose 0 = 2*t + 87 - 247. Let r be (-3)/45 - (-32)/t. Which is the third biggest value? (a) -1/2 (b) r (c) 3/20
a
Let y = 17 - 12. Let o = 0.011 - -35.989. Let n = o + -32. Which is the smallest value? (a) n (b) y (c) -3
c
Let t = -6218 + 6226. What is the second smallest value in 5, t, -1?
5
Let d = 91.4 - 88.4. What is the second biggest value in d, 176, -1?
d
Suppose 16*x - 237 + 77 = 0. Let t be (-262)/(-131) + (-2)/x*7. What is the fourth biggest value in -0.1, -4, t, 1/6?
-4
Let o = 0 - -26. Let j = -11 + o. Let t = j - 15.1. What is the second biggest value in 1, 3/8, 1/3, t?
3/8
Suppose -t - 5*f = 23, -3*t + 3198*f = 3193*f - 11. What is the fifth smallest value in -3/5, -0.04, t, 27, 0.5?
27
Let x = -57.6561 + 53.6561. Let y = 0.2 + 0.8. Let t = -4 - -2. Which is the fourth smallest value? (a) x (b) -2/5 (c) y (d) t
c
Let u = 7764.5 - 7764. Which is the fourth smallest value? (a) -0.5 (b) 50 (c) 0 (d) -4/3 (e) u
e
Suppose 0*o = -5*u - 4*o - 7, 2*u = -5*o - 13. Which is the smallest value? (a) 5 (b) u (c) -1/104
c
Let x = 17697 + -17653. What is the third smallest value in -2, -5, x, 2, -4?
-2
Let n be ((-8)/2)/((8 + -15 - -4) + -11). Which is the smallest value? (a) 1/2 (b) 0.1 (c) -17 (d) n (e) -0.05
c
Let v = 0.1759 - 82.4759. Let r = 82 + v. Which is the second smallest value? (a) r (b) 0.5 (c) -4 (d) 5/6
a
Let g = 80713421/950 + -84963. Let w = -2/475 - g. Let f = -9 + 11. Which is the smallest value? (a) f (b) -1 (c) -4 (d) w
c
Let n be (-48)/119 + (-2)/(-7). Let y = 256 - 272.7. Let z = y + 16.6. What is the smallest value in n, -0.5, z?
-0.5
Let o be -6 + 8/(3*(-4)/(-12)). What is the second smallest value in 3/8, -1/2, -14, o, -1/12?
-1/2
Let f = -7.85 + -0.15. Let g = 12 - f. Let l = -24 + g. Which is the third biggest value? (a) 2/5 (b) 4 (c) l (d) 0.1
d
Let r = -2131 - -2132. Which is the smallest value? (a) 5 (b) -4/237 (c) r
b
Let p = -4.936 - -6.936. Which is the second biggest value? (a) p (b) -6 (c) -1/9 (d) 121
a
Suppose -104 = -4*s - m + 18, -s + 4*m = -22. Which is the biggest value? (a) -9 (b) -5 (c) -0.5 (d) s
d
Let v = 716 + -715.375. Let m = v - 0.325. What is the fourth biggest value in -0.06, 4, -0.3, m?
-0.3
Let u be (-6 + 26/5)/((-119)/85). Which is the second biggest value? (a) 0.7 (b) 2/5 (c) 1 (d) u (e) -1
a
Let d = 18 - 18.05. Let w = -136 + 58. Let l = w - -83. Which is the second biggest value? (a) -4 (b) d (c) l
b
Let m = -6.3 - -6. Let w = -232177/4 - -58044. What is the second smallest value in w, 1.3, 5, m?
w
Let v = 5096 + -5215. Let o be ((-65)/(-25) - 2)/3. Which is the second smallest value? (a) 2/3 (b) -2 (c) v (d) o
b
Suppose 0 = 3*i - 15*i + 24. Suppose 0 = -3*p + p - 2*s + 2, -14 = -i*p + s. What is the third biggest value in 0.27, -1/3, p?
-1/3
Suppose 14*z - 328 = 10*z + 2*m, -3*m + 12 = 0. What is the fourth smallest value in z, 1, -0.2, -5?
z
Let g = -237.43 - 1.57. Let p = -235 - g. Let z = 9 + -4. Which is the smallest value? (a) z (b) p (c) -0.11
c
Let k be (-12)/(-1) - (-11 - -17). Let d be (k*(-8)/(-660))/(2/5). Let l be (0/(-2 + 5))/(-1). Which is the smallest value? (a) l (b) 0.1 (c) d
a
Let m = 6384 + -6478. Let z = 1014 + -920.2. Let n = z + m. Which is the fourth biggest value? (a) 0.2 (b) n (c) 1/6 (d) -0.4
d
Let x(m) = m**2 - 5*m. Let r be x(4). Let p be 1914/(-1015) + (-2)/21*-3. Let h = p + 2. Which is the smallest value? (a) 2 (b) h (c) r
c
Let q = -0.22 - -0.62. Let w = -1102 - -1101.78. What is the biggest value in q, 0.2, w?
q
Let u = 20 - 19.7. Let r be 2 + 78*8/12. Let h = -217/4 + r. Which is the biggest value? (a) h (b) 2/25 (c) u
c
Let f(x) = -x + 8. Let u be f(6). Let w = 400647 + -4407123/11. What is the biggest value in u, w, 8, 10?
10
Let n = 17716 - 17706. What is the second biggest value in 36, 7, n?
n
Let g = 3256 | {
"pile_set_name": "DM Mathematics"
} |
- 1/420*i**5 + 0 + 5/6*i**4. What is a in l(a) = 0?
70
Let v(n) = -n**5 + n**4 + 6*n**3 - 6*n. Let u(r) = -3*r**5 + 3*r**4 + 17*r**3 - 17*r. Suppose 0*k - 5*k + 85 = 0. Let x(c) = k*v(c) - 6*u(c). Factor x(o).
o**4*(o - 1)
Let x(u) = -11*u**3 - 42*u**2 - 73*u + 36. Let m(h) = 20*h**3 + 85*h**2 + 145*h - 60. Let v(q) = 3*m(q) + 5*x(q). Factor v(c).
5*c*(c + 2)*(c + 7)
Let q(v) be the third derivative of -v**6/420 - 17*v**5/105 - 80*v**4/21 - 512*v**3/21 - 1132*v**2. Factor q(b).
-2*(b + 2)*(b + 16)**2/7
Let g be (9 + 1 - -1) + 3. Let p be g/((-700)/(-90))*(-10)/(-12). Suppose -p*r**3 + 3*r**2 + 6*r - 12 = 0. Calculate r.
-2, 2
Let j(n) be the second derivative of n**7/84 + 61*n**6/30 + 5737*n**5/40 + 16108*n**4/3 + 342784*n**3/3 + 1384448*n**2 - 1761*n. Let j(g) = 0. Calculate g.
-32, -13
Let b(l) = -l**3 + 7*l**2 - 6*l. Suppose 79*o - 48 = 71*o. Let y be b(o). Suppose y*a**2 + 8/17*a + 0 - 6/17*a**4 - 14/17*a**3 = 0. What is a?
-2, -1, 0, 2/3
Let i = -711692 - -4981846/7. Let -i*f**4 + 8/7*f - 8/7 - 10/7*f**3 + 10/7*f**2 + 2/7*f**5 = 0. Calculate f.
-2, -1, 1, 2
Let m(h) = -h**3 + 19*h**2 + 24*h - 77. Let p be m(20). Let d(z) be the second derivative of 8*z**p + 0*z**2 + 3/20*z**5 + 0 - 2*z**4 - 19*z. Factor d(w).
3*w*(w - 4)**2
Let i(q) be the second derivative of -q**5/5 + 9*q**4 + 164*q**3 - 544*q**2 + 2137*q. Factor i(a).
-4*(a - 34)*(a - 1)*(a + 8)
Let g(z) be the first derivative of z**7/2100 - z**6/225 + z**5/75 - 17*z**3/3 - 3*z**2/2 + 62. Let w(y) be the third derivative of g(y). Factor w(d).
2*d*(d - 2)**2/5
Let b be (5 - 15)/((-10)/28). Suppose b*k = 9*k. Factor 0*g - 2/11*g**2 + 2/11*g**3 + k.
2*g**2*(g - 1)/11
Let v(u) = 3*u**3 - 23*u**2 + 16*u + 57. Let k = 218 - 225. Let y(b) = -2*b**3 + 12*b**2 - 8*b - 28. Let p(t) = k*y(t) - 4*v(t). Let p(c) = 0. What is c?
-4, -2, 2
Suppose 2*a - 3*v = 135, 15 = 5*v - 0*v. Let z be 2 + a/21 - 3/7. Let 77*n - 45*n**3 - 77*n + 30*n**4 - 5*n**z + 20*n**2 = 0. Calculate n.
0, 1, 4
Suppose -3936 = -50*f - 3136. Let w(n) be the first derivative of -f + 2/21*n**3 - 3/7*n**2 - 20/7*n. Determine r, given that w(r) = 0.
-2, 5
Solve 420677 + 7*r**2 + 365492 - 7*r**2 + 2*r**2 - 2260*r - 147719 = 0.
565
Let o(q) = q**3 + 24*q**2 - 25*q + 4. Let f be o(-25). Solve 70 - 4 + f*p**2 + 30 + 44*p = 0 for p.
-8, -3
Let t be 3/(-9) - (88/(-12) - 5). Factor 38*a**2 - 91*a**2 - t*a + 45*a**2 + 20*a**3.
4*a*(a - 1)*(5*a + 3)
Solve -222*o**2 - 147*o**4 + 22*o - 8*o - 62*o**3 + 9 + 0*o + 398*o**3 + 10*o = 0.
-1/7, 3/7, 1
Let l = -12847/3 + 4299. Solve -5/3*t**2 + 0 - l*t = 0 for t.
-10, 0
Let i(n) = -5 + 13*n**3 - 29*n**2 - 12*n**2 + 32*n + 4*n**2. Let h(q) = 1871*q + 2 - 1887*q + 1 - 7*q**3 + 19*q**2. Let y(z) = 5*h(z) + 3*i(z). Factor y(v).
4*v*(v - 2)**2
Suppose -4448 + 2232*l + 1229*l**3 - 1921*l**3 - 6668*l**4 - 1552*l**3 + 677*l**2 + 10439*l**2 + 12*l**5 = 0. Calculate l.
-1, 2/3, 1, 556
Suppose 279 = -20*o + 79. Let u be 12/(-18)*5/o. Factor 0 - 1/3*w**3 + 2/3*w - u*w**2.
-w*(w - 1)*(w + 2)/3
Solve -31*h**5 - h**3 + 98*h**5 + 13*h**3 + 6*h**4 - 75*h - 32*h**5 - 36*h**5 - 70*h**2 = 0 for h.
-3, -1, 0, 5
Let y(z) be the third derivative of -z**6/120 + 35*z**5/12 - 29*z**4/4 - 1654*z**2. Let y(x) = 0. What is x?
0, 1, 174
Let o(s) be the third derivative of 98*s**3 + 0*s - 91/6*s**4 - 116*s**2 - 1/30*s**6 + 17/15*s**5 + 0. Suppose o(d) = 0. What is d?
3, 7
Let l be 0*((-13)/(-22) + 173/(-1903)). Factor 10/3*x + 2/3*x**2 + l.
2*x*(x + 5)/3
Suppose 0*h - 50 = -2*h + 5*o, 29 = 3*h + 4*o. Factor 8*x**2 + 18*x**2 - 7*x**3 + 14*x**2 - 8*x**3 - 10*x**4 - h*x.
-5*x*(x - 1)*(x + 3)*(2*x - 1)
Factor -2*u**5 - 590*u**2 + 901*u - 682*u - 206*u**3 - 400 + 5*u**5 - u**5 + 777*u + 198*u**4.
2*(u - 1)**3*(u + 2)*(u + 100)
Let h(o) be the second derivative of -10/7*o**2 + 0 - 2/7*o**4 + o**3 + 19*o + 1/70*o**5. Solve h(z) = 0 for z.
1, 10
Let d(z) = 6*z**2 - 185*z - 834. Let l be d(-4). Let 7/11 + 3/11*r**2 - l*r = 0. Calculate r.
1/3, 7
Let i(v) be the second derivative of v**7/84 - v**6/30 - 31*v**5/40 - 7*v**4/6 + 529*v. Factor i(p).
p**2*(p - 7)*(p + 1)*(p + 4)/2
Let u = -23101 + 23103. Let b(y) be the second derivative of -4/5*y**u - 2/5*y**3 + 18*y + 0 - 1/15*y**4. Factor b(i).
-4*(i + 1)*(i + 2)/5
Let v be ((-2)/8)/1*(-12)/9. Let s(u) = u**2 - 5*u + 6. Let f be s(6). Determine l so that f - 4*l + v*l**2 = 0.
6
Suppose -21*r + 8*r = -6*r + 28*r. Let g(c) be the second derivative of 3/10*c**4 + 0*c**2 + 1/5*c**3 + r + 9/50*c**5 - c + 1/25*c**6. Let g(i) = 0. What is i?
-1, 0
Let f(y) = 5362*y + 418238. Let z be f(-78). Factor 20*b + 212/3*b**z + 7/3*b**3 + 0.
b*(b + 30)*(7*b + 2)/3
Let b(c) be the second derivative of -c**4/15 - 106*c**3/15 - 104*c**2/5 + 2094*c. Find r, given that b(r) = 0.
-52, -1
Let z = 92 - 91. Let p(y) = -y**3 + y**2 + y. Let u(k) = 4*k**4 + 33*k**3 + 51*k**2 + 23*k. Let s(v) = z*p(v) + u(v). Factor s(d).
4*d*(d + 1)**2*(d + 6)
Suppose -7*p + 2*d - 141 = -8*p, -4 = -d. Let i be (p/105 - 1)/((-2)/(-5)). Factor 0*x**3 + 0*x + 4/3*x**2 - 2/3 - i*x**4.
-2*(x - 1)**2*(x + 1)**2/3
Let y(m) be the third derivative of -7/300*m**6 + 0*m - 2/525*m**7 - 2/75*m**5 + 1/840*m**8 + 0 + 0*m**4 + 0*m**3 + 43*m**2. Factor y(w).
2*w**2*(w - 4)*(w + 1)**2/5
Let z = -314806 - -1574056/5. Factor -5*g + z - 1/5*g**2.
-(g - 1)*(g + 26)/5
Factor 0*w - 2/13*w**5 - 12798/13*w**3 + 0 + 12482/13*w**2 + 318/13*w**4.
-2*w**2*(w - 79)**2*(w - 1)/13
Let l(p) = 80*p**2 - 210*p + 5545. Let q(g) = -49*g**2 + 104*g - 2772. Let s(r) = 3*l(r) + 5*q(r). Suppose s(o) = 0. What is o?
-37, 15
Factor -2649/2 + 663*w**2 - 3/4*w**3 - 2643/4*w.
-3*(w - 883)*(w - 2)*(w + 1)/4
Let b = -40037 - -160151/4. Determine f so that -3/2*f**3 + 0*f**4 + 0 + b*f + 3/4*f**5 + 0*f**2 = 0.
-1, 0, 1
Factor -18*y**2 - 151079008*y + 151079008*y + 27*y**3 + y**5 - 10*y**4.
y**2*(y - 6)*(y - 3)*(y - 1)
Let h(a) be the second derivative of 3/5*a**2 + 1/6*a**3 + 1/60*a**4 + 1 - 13*a. Solve h(o) = 0 for o.
-3, -2
Let y(q) be the first derivative of -2*q**6/3 - 56*q**5/5 + 86*q**4 - 656*q**3/3 + 262*q**2 - 152*q - 6645. Determine x, given that y(x) = 0.
-19, 1, 2
Solve -40*s**2 - 34 + 14370*s**3 - 85*s - 28742*s**3 - 16 + 14367*s**3 = 0.
-5, -2, -1
Let -1444/3 - 545*d**2 + 3686/3*d + 157/6*d**3 - 1/3*d**4 = 0. Calculate d.
1/2, 2, 38
Let -63739*c**2 + 855*c**3 + 3*c**5 + 12*c**5 + 600*c - 200*c**4 + 62469*c**2 = 0. Calculate c.
0, 1, 4/3, 5, 6
Let n(z) = z**4 - 2*z**2 - 2*z + 1. Let c(f) = 54*f**4 + 6*f**3 - 969*f**2 - 1206*f - 219. Let t(p) = -c(p) + 33*n(p). What is u in t(u) = 0?
-6, -1, -2/7, 7
Suppose 0 = -6*c - 144 + 156. What is m in 33 - 19*m**2 - 63*m - 9*m**3 + 19*m**c + 0*m**3 - 105*m**2 = 0?
-11, -1, 1/3
Let q(k) = 18*k - 365. Let v be q(21). Suppose -24*o + v + 83 = 0. Determine l, given that 0*l - 16/3*l**2 + 32/3 + 2/3*l**o + 0*l**3 = 0.
-2, 2
Let q(k) = -k**2 + 3*k + 40. Let a be q(5). Suppose 6*u - 2*u = w + 15, 0 = -4*w - 2*u + a. Factor 597*m**3 - 599*m**3 + 0*m**5 - m**4 + m**w.
m**3*(m - 2)*(m + 1)
Suppose 4*r = d + 3804, -909 - 33 = -r - 2*d. Let p be 2/25 + 1824/r. Factor 1/9*y - 1/9*y**4 + 1/3*y**3 - 1/3*y**p + 0.
-y*(y - 1)**3/9
Let w(g) = -g + 40. Let t be w(21). Suppose t*c = 14*c + 2*p + 5, -4*p + 11 = -3*c. Factor 1/3*a**c - 4/3*a**2 + a + 0.
a*(a - 3)*(a - 1)/3
Factor -394/9 + 395/9*q - 1/9*q**2.
-(q - 394)*(q - 1)/9
Let i be (-2 - (-7)/2)/((-9)/12). Let a(m) = -m - 2. Let s be a(i). Factor -6*o - 3*o**5 + 29*o**3 + 21*o**2 + 15*o**4 - 56*o**3 + s*o.
-3*o*(o - 2)*(o - 1)**3
Let v(k) = -4*k**2 + 3266*k - 1331704. Let s(x) = -9*x**2 + 6533*x - 2663404. Let f(t) = 4*s(t) - 10*v(t). Determine a, given that f(a) = 0.
816
Let p be -2 + -2 + -1 + 14352/2576. Find c such that 4/7*c - p*c**3 + 4/7*c**2 - 4/7 = 0.
-1, 1
Let z(p) = -8*p**3 + 48*p**2 + 194*p + 234. Let r(u) = -9*u**3 + 51*u**2 + 195*u + 233. Let o(s) = -12*r(s) + 14*z(s). Solve o(f) = 0 for f.
-3, -2, 20
Let f(s) be the third derivative of -330*s**2 + 3/70*s**5 - 17/84*s**4 - 2/21*s**3 + 0*s + 0. Factor f(i).
2*(i - 2)*(9*i + 1)/7
Let l(j) be the first derivative of 0*j + 1/7*j**6 + 81 + 0*j**2 + 9/35*j**5 + 3/28*j**4 + 0*j**3. Find t such that l(t) = 0.
-1, -1/2, 0
Let b(x) be the second derivative of 2*x**7/21 - 16*x**6/3 + 112*x**5/5 - 34*x**4/3 - 226*x**3/3 + 148*x**2 - 152*x + 1 | {
"pile_set_name": "DM Mathematics"
} |
ltiple of 140 and 20?
140
Calculate the common denominator of -113/72 and 55/468.
936
What is the least common multiple of 575 and 25?
575
Find the common denominator of -163/168 and 107/72.
504
What is the smallest common multiple of 480 and 10?
480
Find the common denominator of -15/3839 and -24/8027.
88297
What is the common denominator of -8/39 and 137/2730?
2730
Calculate the common denominator of 145/18 and -21/110.
990
Calculate the common denominator of 18/403 and -23/1560.
48360
Calculate the lowest common multiple of 243 and 2.
486
Calculate the smallest common multiple of 30 and 245.
1470
Calculate the common denominator of 47/1512 and -24.
1512
Calculate the common denominator of -55/63 and 64/7329.
21987
What is the common denominator of -65/16 and -31/16?
16
What is the common denominator of 57/5635 and 64/5635?
5635
What is the common denominator of 61/27 and -11/111?
999
Find the common denominator of -35/1006 and -9/2.
1006
What is the least common multiple of 153 and 306?
306
Calculate the common denominator of -169/378 and 91/162.
1134
Calculate the common denominator of 3/50 and -105/22.
550
Calculate the common denominator of 151/396 and -61/324.
3564
What is the common denominator of -47/250 and -47/225?
2250
Find the common denominator of 17/60 and -101/150.
300
What is the common denominator of -137/60 and -109/1200?
1200
Find the common denominator of 99/98 and -173/84.
588
Calculate the smallest common multiple of 135 and 4875.
43875
What is the lowest common multiple of 1524 and 21?
10668
Calculate the common denominator of -151/114 and -59/1026.
1026
What is the lowest common multiple of 365 and 584?
2920
Find the common denominator of -91/120 and -97/400.
1200
Calculate the common denominator of 8/41 and 11/9.
369
What is the smallest common multiple of 7 and 275?
1925
Calculate the least common multiple of 8 and 21.
168
Calculate the common denominator of -1/4 and 95/16.
16
Calculate the smallest common multiple of 53 and 1.
53
Find the common denominator of -77/2664 and 41/7104.
21312
Calculate the common denominator of -61/1606 and -65/1022.
11242
Find the common denominator of -77/74 and 33/7.
518
Calculate the common denominator of -127/600 and 113/1200.
1200
What is the common denominator of -79/6 and 43/468?
468
Calculate the common denominator of 5/111 and 79/2424.
89688
Calculate the smallest common multiple of 18 and 108.
108
Find the common denominator of 71/45 and 32/415.
3735
Find the common denominator of 47/24 and -4/9.
72
Calculate the least common multiple of 99 and 14388.
43164
What is the common denominator of -99/32 and 67/32?
32
What is the smallest common multiple of 58 and 9?
522
Calculate the lowest common multiple of 188 and 10.
940
What is the common denominator of -16/11 and 29/3?
33
Find the common denominator of -67/354 and 179/1770.
1770
Find the common denominator of -13/136 and 101/14.
952
Find the common denominator of -77/39 and -31/156.
156
Calculate the common denominator of 149/54 and -9/2.
54
Calculate the smallest common multiple of 8 and 156.
312
What is the smallest common multiple of 6 and 2255?
13530
Find the common denominator of -65/644 and -85/3542.
7084
Calculate the smallest common multiple of 21 and 321.
2247
Calculate the common denominator of -109/198 and 97/1050.
34650
Calculate the common denominator of -23/2 and -10/29.
58
Calculate the lowest common multiple of 30 and 6354.
31770
Calculate the smallest common multiple of 1808 and 20.
9040
Find the common denominator of 99/346 and 75/26.
4498
Find the common denominator of 17/72 and 79/33.
792
What is the common denominator of 29/3860 and 113/180?
34740
What is the smallest common multiple of 21 and 111?
777
Calculate the common denominator of -169/1938 and -113/418.
21318
What is the common denominator of -87/10 and 121/10?
10
Calculate the common denominator of 103/30 and -107/150.
150
Calculate the least common multiple of 348 and 132.
3828
What is the smallest common multiple of 10 and 244?
1220
Find the common denominator of 63/2782 and 121/78.
8346
Calculate the lowest common multiple of 1470 and 42.
1470
What is the common denominator of -31/5870 and -99/40?
23480
What is the common denominator of -57/1048 and 1/40?
5240
Find the common denominator of -5/184 and 107/108.
4968
What is the common denominator of 34/5677 and -43/7299?
51093
Calculate the smallest common multiple of 3368 and 8.
3368
Calculate the smallest common multiple of 8 and 946.
3784
Calculate the lowest common multiple of 16 and 174.
1392
What is the common denominator of -73/400 and 51/608?
15200
Calculate the common denominator of -73/346 and 113/12.
2076
Find the common denominator of -67/272 and -3/646.
5168
What is the lowest common multiple of 39 and 13?
39
What is the lowest common multiple of 20 and 76?
380
Calculate the lowest common multiple of 364 and 260.
1820
Find the common denominator of 91/8 and -67/43390.
173560
Calculate the lowest common multiple of 490 and 30.
1470
What is the lowest common multiple of 48 and 620?
7440
Calculate the common denominator of 41/2784 and -191/840.
97440
What is the lowest common multiple of 203 and 435?
3045
Find the common denominator of 48/13 and -1/16.
208
Calculate the smallest common multiple of 19 and 126.
2394
Calculate the common denominator of 121/1450 and 3/250.
7250
What is the common denominator of 3/272 and 49/64?
1088
What is the smallest common multiple of 48 and 24?
48
Calculate the common denominator of 37/76 and -61/164.
3116
What is the smallest common multiple of 10 and 53?
530
Calculate the least common multiple of 12 and 610.
3660
What is the common denominator of -181/360 and 167/180?
360
Calculate the lowest common multiple of 70 and 80.
560
Find the common denominator of -69/22 and 61/51774.
569514
Calculate the smallest common multiple of 16 and 56.
112
Find the common denominator of -52/2973 and -61/27.
26757
What is the lowest common multiple of 520 and 52?
520
What is the least common multiple of 48 and 6?
48
Calculate the common denominator of 81/8 and -59/44.
88
What is the common denominator of 4/3 and -28/1165?
3495
Find the common denominator of 49/730 and 109/50.
3650
Find the common denominator of 21/2 and -103/30.
30
Calculate the least common multiple of 6 and 264.
264
What is the lowest common multiple of 5919 and 33?
65109
Find the common denominator of -107/1720 and 37/2408.
12040
What is the smallest common multiple of 75 and 500?
1500
What is the common denominator of -7/313 and 21/5?
1565
What is the common denominator of 125/36 and 38/1041?
12492
Find the common denominator of -145/6 and -91/150.
150
Find the common denominator of 155/264 and -9/20.
1320
What is the least common multiple of 24 and 4?
24
Find the common denominator of 73/117 and 5/286.
2574
Calculate the least common multiple of 308 and 693.
2772
Find the common denominator of 7/466 and -63/16.
3728
Find the common denominator of 3/1115 and 47/150.
33450
Calculate the lowest common multiple of 136 and 102.
408
Find the common denominator of 39/107 and 67/8.
856
Find the common denominator of -29/2132 and -19/104.
4264
Calculate the lowest common multiple of 661 and 9.
5949
What is the least common multiple of 8 and 13?
104
Find the common denominator of -79/2808 and -71/1404.
2808
What is the smallest common multiple of 576 and 8?
576
What is the common denominator of 31/109 and 149/6?
654
Calculate the lowest common multiple of 531 and 15.
2655
What is the common denominator of -31/1491 and -19/8?
11928
Calculate the lowest common multiple of 232 and 145.
1160
Calculate the common denominator of -1/1960 and 29/1540.
21560
Calculate the common denominator of -40/231 and -25/12.
924
Find the common denominator of 109/2436 and -145/12.
2436
Calculate the common denominator of -29/25 and -15/2.
50
What is the common denominator of 31/30 and -133/18?
90
Find the common denominator of 9/4352 and -69/112.
30464
Calculate the common denominator of 39/20 and -157/78.
780
Calculate the common denominator of -99/340 and 79/100.
1700
Calculate the lowest common multiple of 110 and 8.
440
Calculate the least common multiple of 697 and 187.
7667
What is the common denominator of 67/10 a | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when q is divided by m.
25
Suppose 0 = -8*m + 4*m + 120. Let p(n) = n + 16. Calculate the remainder when m is divided by p(-5).
8
Let a(u) = -u**3 + 31*u**2 + 221*u + 90. Suppose 0 = -3*q + 24 - 6. Suppose q*f - 2*f = 56. Calculate the remainder when a(37) is divided by f.
11
Let j = -68 + 72. Calculate the remainder when 18 is divided by j.
2
Let j = -43 - -71. Let o be 3/6*2*5. Let w(t) = -t**2 + 4*t + 13. Calculate the remainder when j is divided by w(o).
4
Let h be (-9)/(-36) + (-187)/(-4). Let p = -42 + h. What is the remainder when 36 is divided by p?
1
Let u(j) = 9*j**3 + 1. Let a be 0 + (-4 + 4 - 0). Suppose 0 = h + 4*k - 22, a*h + 4*k = 2*h + 4. Calculate the remainder when u(1) is divided by h.
4
Let m be 12/(-10)*(-2480)/(-12) + 3. Let a = m - -360. Calculate the remainder when a is divided by 13.
11
Let g = -137 + 149. Calculate the remainder when 65 is divided by 285/g + 14/(-8) + 2.
17
Let b(p) = -3*p**2 - 8*p - 7. Suppose -3*i + 15 = -6*i. Let t be b(i). Let f = 72 + t. Calculate the remainder when f is divided by 11.
8
Suppose 3*b = -z - 0*b, 3*z + 3*b = 0. Suppose z = 3*f - f. Suppose f = -h + 5 + 27. What is the remainder when h is divided by 11?
10
Let z(t) = t**3 + 22*t**2 - t - 5. Calculate the remainder when 32 is divided by z(-22).
15
Let x(s) be the second derivative of s**5/20 + 5*s**4/3 - s**3/6 - 17*s**2/2 + 10*s. Calculate the remainder when 17 is divided by x(-20).
2
Let h = -10 - -10. Let f be h*(-1 + 0)/2. Suppose -x + 3*x - 38 = f. What is the remainder when x is divided by 11?
8
Suppose 5*g + g + 3240 = 0. Calculate the remainder when 298/4 + 3/(-6) is divided by 1 + 85/6 - (-90)/g.
14
Let x(y) = -5*y + 8. Let h be 12/(-20) - (-69)/15. Let g be x(h). Let r = -1 - g. Calculate the remainder when r is divided by 4.
3
Calculate the remainder when 2 + (-1 - -2) + 21 + 60 is divided by ((-58)/8)/((-3)/12).
26
Let p(b) = 5 - 3*b + 5 + 5*b**2 - 1 - 3*b**2. Let d be p(6). Suppose 2 = 2*o - 0*a - 5*a, 5*o = -2*a + d. What is the remainder when 43 is divided by o?
10
Suppose 0 = -4*u + 2*z + 2 + 6, -5*z - 20 = 0. Suppose l - 1 - 12 = u. What is the remainder when 36 is divided by l?
10
Let v be 8/(-3)*(7 - (-3 - -40)). Let u = 127 - v. Calculate the remainder when u is divided by 18.
11
Let n = -57 + 57. Let h(m) = 104*m**2 - m. What is the remainder when h(1) is divided by (-2)/((-1)/13 - n)?
25
Suppose 24 = 3*m + 11*v - 14*v, -2*m - 2*v + 12 = 0. Calculate the remainder when 34 is divided by m.
6
Suppose -8*k + 4*g = -9*k + 24, 3*k - 111 = g. Calculate the remainder when 176 is divided by k.
32
Let k be (-1)/2 + (-4)/(-8). Suppose -5*r + k*r + 25 = 0. Suppose -2*q + 3*t + 60 = 2*q, r*t = -20. Calculate the remainder when 33 is divided by q.
9
Let b(r) = 2*r**2 - 22*r - 2. What is the remainder when 57 is divided by b(-2)?
7
Let s(r) = -2*r**2 + 7*r - 5. Let i be s(4). Calculate the remainder when i/6 + 2 - (-831)/6 is divided by 35.
34
Suppose 200 = 24*k - 664. Suppose -5*t + 4*t - 1 = 0, 0 = 4*h + 4*t - 556. What is the remainder when h is divided by k?
32
Calculate the remainder when -3 - (-16 - (4 + -2)) is divided by (-6)/27 - 166/(-18).
6
Let q = 2 + 4. Let a = q + -5. Calculate the remainder when 12 is divided by a*3 + -7 + 9.
2
Calculate the remainder when 50 is divided by 10 - -2 - (-12)/12.
11
What is the remainder when ((-80)/14)/4*(-161)/1 is divided by 11?
10
Suppose 3*m + 3*a = 33, 4*m + 4 = 3*a + 13. Let p(k) = 20*k**2 - k - 1. Calculate the remainder when p(-1) is divided by m.
2
Let j(q) = q**2 + 4*q + 7. Let x be j(8). Suppose -d - 4*v + 9 + 4 = 0, -5*d = v - x. What is the remainder when d is divided by 12?
9
Suppose 2*m - 4*o = 8, -o - 1 = -3*m + 16. What is the remainder when 147 is divided by m?
3
Let r(a) = 3*a**2 - 5. What is the remainder when r(2) is divided by (-15)/12*(-16)/4?
2
Suppose 4*n - 2 - 18 = 0. Suppose n*w - 8 = -4*d + 5, d - 3 = -w. What is the remainder when -38*(-1 - w/(-2)) is divided by 11?
8
Let q(x) = -x**2 - 15*x + 5. Let d be q(-14). Suppose -221 = -5*k - 4*v, 5*v + d = -k + 80. What is the remainder when k is divided by 7?
6
Calculate the remainder when 37 is divided by 12/2 + -7 + 5 + 6.
7
Let c(y) = -2*y**3 + 11*y - 10. Calculate the remainder when c(-6) is divided by 17.
16
Let g be 21/28 - (-13)/4. Suppose 0 = 5*v + 5, 104 = 2*i + 2*i + g*v. What is the remainder when i is divided by 7?
6
Let c = -162 + 177. What is the remainder when 132 is divided by c?
12
Calculate the remainder when (65/25 - 7)*15/(-6) is divided by 2.
1
Let b = -1493 + 1504. What is the remainder when (-180)/(-27)*(-18)/(-4) is divided by b?
8
Suppose 0 = 6*r - 5*r + 6. Calculate the remainder when (252/(-30))/(r/20) is divided by 8.
4
Let k be (2/(-6))/(6/(-108)). Let h(j) = 2*j - 11. Let u be h(k). Suppose 5*n - 46 = -u. What is the remainder when 15 is divided by n?
6
Let c(g) = g**3 + g + 19. What is the remainder when 32 is divided by c(0)?
13
Suppose -92 = -18*z - 20. Calculate the remainder when 48 is divided by z.
0
Calculate the remainder when 158/6 - (-70)/105 is divided by 24.
3
Suppose 114*b - 111*b - 210 = 0. What is the remainder when b is divided by 33?
4
Let s = 11 + -4. Suppose f = 4*q - 117, 119 + 4 = 4*q + f. Let w = -3 + q. Calculate the remainder when w is divided by s.
6
What is the remainder when 7 + (1 - (-4 + -4)) is divided by 1 + (1 - -2 - 0)?
0
Let q = -55 + 63. Calculate the remainder when (12 - 5 - 5) + (1 - -17) is divided by q.
4
What is the remainder when 34 is divided by (640/56)/(-16)*-14?
4
What is the remainder when -9 + 221/26 + (-195)/(-2) is divided by 49?
48
Suppose 28 + 50 = 6*s. Let x(a) = -2*a - 9. Let z be x(-6). Suppose 200 = 4*q + 5*m, -3*q = -2*m + z*m - 150. What is the remainder when q is divided by s?
11
Suppose -38*v - 43*v + 64314 = 0. What is the remainder when v is divided by 19?
15
Let p = -27 + 48. Let l(t) = t**3 + 15*t**2 + 13*t + 47. What is the remainder when l(-14) is divided by p?
19
Let p = 1912 - 1829. What is the remainder when p is divided by 7?
6
What is the remainder when (24 + -11 - 10)/((-1)/(-52)) is divided by 32?
28
Let v be ((-5)/20)/(3/(-36)). Suppose 2*b = -3*g + 67 - 16, -47 = -2*g + v*b. Let t = 133 + -80. Calculate the remainder when t is divided by g.
15
Suppose 20*d = 17*d + 15. What is the remainder when (-2 - (-402)/d) + (-12)/(-20) is divided by ((-2)/4)/((-1)/32)?
15
Let l = -1772 - -1814. Calculate the remainder when l is divided by 9.
6
Let k = 106 + -97. Suppose 29 = b + 5. Calculate the remainder when b is divided by k.
6
Suppose 0 = 16*j - 199 - 121. Calculate the remainder when (j/4)/5*63 is divided by 22.
19
Let d = -391 - -411. Calculate the remainder when 48 is divided by d.
8
Suppose 4*j + 161 - 177 = 0. What is the remainder when 6 is divided by j?
2
Suppose -282 = -367*w + 361*w. What is the remainder when 232 is divided by w?
44
Let l = -262 + 304. What is the remainder when 65 is divided by l?
23
Calculate the remainder when (2/(-8))/(53/(-13568)) is divided by 35.
29
Let g = 858 + -834. What is the remainder when 692 is divided by g?
20
Suppose -17*w = -1130 - 2304. Calculate the remainder when w is divided by 66.
4
Suppose 3*z = z + 118. Suppose -65 = -3*g + 5*c, -13*g + 12*g = c - 11. Calculate the remainder when z is divided by g.
14
Let o = -8 - -10. Suppose 0 = 2*u + o*v - 64, v - 39 = -2*u + 25. Calculate the remainder when u is divided by 10.
2
Suppose -60 = 2*o - 3*o. Let z(w) = -w**3 - 21*w**2 - 54*w + 21. Calculate the remainder when o is divided by z(-18).
18
Let p = -788 + 797. Calculate the remainder when 78/(((-3)/2)/(-1)) is divided by p.
7
Let o = -60 + 43. Let i = o - -29. Suppose -16*j = -i*j - 172. Calculate the remainder when j is divided by 11.
10
Let x = 82 - 68. Suppose 3*k = 2*t + 9, 2*k - 5*k + t = -12. Calculate the remainder when (-4)/(-10) + 193/k is divided by x.
11
What is the remainder when (261/(-51) - -5) + (-14460)/(-85) is divided by 36?
26
Let f be (-2)/12 + (-31)/(-6). Suppose 5*d - 13 = -f*h + 12, 29 = 3*h - 4*d. What is the remainder when h is divided by 5?
2
Let d(r) = 2*r**2 - 17*r + 40. Calculate the remainder when d(8) is divided by 9.
5
Let v = 65 + -52. What is the remainder when 67 is divided by v?
2
Suppose -4*n - z + 122 = | {
"pile_set_name": "DM Mathematics"
} |
= 3 + -7. Let t be -2*(15/6)/(-5). Let k(x) = -3*x**2 + x. Let y be k(t). Sort y, 2, u.
u, y, 2
Suppose 0 - 52 = -4*u. Suppose -u = v - 2*b - 2*b, 1 = -v + b. Put -4, 0, v in ascending order.
-4, 0, v
Let o = -142/205 + 12/41. Put o, 2, -3, 4 in ascending order.
-3, o, 2, 4
Let g = 17 + -15. Suppose s - 5*u - 7 = 0, 28 = g*s + 2*s + 5*u. Sort s, -2, -3 in increasing order.
-3, -2, s
Suppose 0 = 53*k - 50*k + 69. Sort 2, k, -4 in descending order.
2, -4, k
Suppose -5*u = -31 - 14. Let f = 7 - u. Put 5, f, 0 in ascending order.
f, 0, 5
Let c = -1.3 - -0.3. Let f = -12.5 + 11. Let w = f - c. Sort w, 1, 1/5 in descending order.
1, 1/5, w
Let s = -5 - -5.06. Let z = -0.34 - s. Put -1, 0.02, z in increasing order.
-1, z, 0.02
Let x = 35 + -12. Let h = 23.1 - x. Put -0.5, h, -4/7 in increasing order.
-4/7, -0.5, h
Let f be (-5 - (-480)/95)*2. Put f, -1/4, 1/9 in decreasing order.
1/9, f, -1/4
Suppose -3*g - 5*s + 14 = 0, g - 14 = -3*s - 4. Let p be g/(-10) + (-2)/10. Put p, -3, -0.3 in increasing order.
-3, -0.3, p
Let q = 0.9 + 4.1. Let a = q + -2. Let n = 0.3 - 2.3. Sort -1, n, a in decreasing order.
a, -1, n
Suppose 0 = i - 2*t - 7, 4*t + 5 + 15 = 0. Sort 3, i, 1 in descending order.
3, 1, i
Let s be 1/(0 - 1)*5. Sort 2, -3, s in increasing order.
s, -3, 2
Let z = 391 + -395. Let u = 1 - 3. Sort u, z, 5.
z, u, 5
Let w = -5 + -1. Let p be (-32)/(-6) - (-2)/w. Suppose 0 = -t + 1, 5*b + 3*t - 4*t = -21. Sort p, b, 3.
b, 3, p
Let d = -34 - -34. Put -1/4, -0.5, d, 3 in descending order.
3, d, -1/4, -0.5
Suppose 4*t + 4*g - 8 = 6*g, -4 = t - 2*g. Put -8, 0, t in ascending order.
-8, 0, t
Let j = -25401 - -126563/5. Let r = -88 - j. Sort r, -0.2, -0.3 in descending order.
r, -0.2, -0.3
Let k = 27.1 - 26. Let c = 1 - k. Sort -5, 0.1, c in ascending order.
-5, c, 0.1
Suppose -3*f = -2*w - 79 - 30, -4*f + 149 = w. Suppose -5*i - 3*d = -f, 10 = -i + 5*d - 5. Let o = 0 - -0.2. Put i, o, 0.5 in descending order.
i, 0.5, o
Let a be ((-10)/(-6))/((-6)/(-18)). Let s be (1 - 1/1)/(-2). Sort 1, s, a in descending order.
a, 1, s
Let k = -1.1 + -4.6. Let i = -6 - k. Put i, 0.1, 5 in ascending order.
i, 0.1, 5
Suppose 20*r + 35 = 27*r. Put -4, -34, r in descending order.
r, -4, -34
Let z = 17 - 15. Sort -2, -3, z in decreasing order.
z, -2, -3
Let d = 3.89 + 0.11. Let g = 4 + -5. Put d, g, -4 in ascending order.
-4, g, d
Let m = -146 - -2480/17. Put -5, 2, m, 1 in decreasing order.
2, 1, m, -5
Let i = 0.15 + 5.85. Let x = i + -6. Let v(j) = 4*j**3 - 2*j**2 + j. Let y be v(1). Put 3/2, x, y in increasing order.
x, 3/2, y
Let k be -6*(-9)/((-243)/6). Put 0.12, k, 4 in decreasing order.
4, 0.12, k
Suppose 5*l = r + 9, -87 = 3*r + 2*l + 3*l. Let a = r + 23. Put -3, a, 2 in increasing order.
-3, a, 2
Suppose 3*j = -0*n - 3*n - 6, 0 = 2*n + 4. Put j, 4, -1, 1 in descending order.
4, 1, j, -1
Let k(j) = 2*j**3 - j**2 + 1. Let g be 2/1*(-14)/(-4). Suppose 2*p = m + g, -p - 3 = -3*m - 19. Let n be k(p). Sort -1, n, 4 in ascending order.
-1, n, 4
Let r = -0.98 + -0.02. Sort -0.3, r, -2/7 in decreasing order.
-2/7, -0.3, r
Let c be 0/2 + (0 - -1). Suppose -4*z + 6 = -6. Sort -2, z, c in descending order.
z, c, -2
Let a be ((-2)/(-5))/(3/(-5)). Let k = -43 - -42. Sort 3/2, a, k.
k, a, 3/2
Let b be (-1)/2*((0 - 0) + 1). Put -11, -3, -1, b in descending order.
b, -1, -3, -11
Let r be 156/(-21) - -5 - 4/7. Sort 5, r, -5, 6 in descending order.
6, 5, r, -5
Let z = 156 + -148. Sort z, 5, -1, -4 in decreasing order.
z, 5, -1, -4
Let w(h) = h**3 - 7*h**2 - 2*h + 11. Let p be w(7). Sort p, 2, -1, 0.
p, -1, 0, 2
Let c = 8.2 + -8. Let v be 1/(-4) + (-15)/4. Sort 1/4, c, v.
v, c, 1/4
Let a be (-2)/(-12) - (-3)/((-90)/(-145)). Sort 4, a, 1.
1, 4, a
Suppose -34*r + 39*r + 5 = 0. Sort -3, r, 2, -4 in descending order.
2, r, -3, -4
Let g = -4 - -8. Suppose -2*o + 0*o + g = 0. Sort 1, 3, o in ascending order.
1, o, 3
Let v = 0.066 + -5.066. Sort 4/5, -2, 2, v.
v, -2, 4/5, 2
Suppose 5*m = -5, -6*j + 3*m - 17 = -j. Sort -7, j, 2, 4 in decreasing order.
4, 2, j, -7
Suppose 3*t - 2*t + 2 = 0. Let s(l) = -2*l + 8. Let b be s(6). Sort 2, t, b.
b, t, 2
Suppose 2 = c - 3. Suppose -2*y = -4*l - 16, l + 3*y = -3*l + 4. Let u be l - (9 - -1)/(-2). Put 1, c, u in descending order.
c, u, 1
Suppose 1 + 23 = -2*i. Let f = i - -8. Let w be (-2)/((8/6)/2). Put w, -1, f in decreasing order.
-1, w, f
Let s(m) = 45*m. Let h be s(2). Put -1, h, 3 in decreasing order.
h, 3, -1
Let g = -38 - -38. Sort -11/3, g, 2, -0.5.
-11/3, -0.5, g, 2
Suppose -z - 5 + 6 = 0. Sort z, -4, -9 in descending order.
z, -4, -9
Let n = 0.05 - 4.05. Let w = -4 - 1. Sort n, -3, w in descending order.
-3, n, w
Let s = 3 - 0. Put 6, 0.4, s, 0.02 in descending order.
6, s, 0.4, 0.02
Let q be (-51)/(-15) - 4/10. Suppose -7 + 1 = q*b. Put b, -4, 4 in descending order.
4, b, -4
Let v(w) = w**2 - 13*w + 7. Let q be v(12). Sort q, 2, -3.
q, -3, 2
Suppose -g + 5*y = 1, -3*y + 15 = -0*g + 3*g. Suppose 0 = -3*l + 10 - 1. Sort l, g, -2/11 in decreasing order.
g, l, -2/11
Let i be (-2)/(-3 + 18 - 0). Let c = -85/438 + 2/73. Sort i, c, 5 in ascending order.
c, i, 5
Let w = 0.12 - -0.08. Put w, -5/7, -1/4 in decreasing order.
w, -1/4, -5/7
Let p = -2 + -2. Let v be (p/6)/(2/(-6)). Suppose 0 = 3*u + v*u. Sort -2, 2, u in descending order.
2, u, -2
Let m = -1663/9 - -185. Suppose 0*q = -q + 5. Sort m, -3, q.
-3, m, q
Let i = 36 - 37. Sort 7, i, 0.
i, 0, 7
Let v = -0.01 - -7.01. Let b = 133.3 - 140. Let z = v + b. Sort -3/5, z, 0.2 in increasing order.
-3/5, 0.2, z
Let n = -929/5 + 186. Put 3, -14, n in descending order.
3, n, -14
Let r = 4 + -4. Let q be (r + 5 + -3)/2. Suppose s + 5*x = -4 - 8, x = -4*s + 9. Sort -4, q, s.
-4, q, s
Let k(n) = -n**3 - 7*n**2 - 7*n - 9. Let t be k(-6). Sort t, 3/4, 2/11, -13 in decreasing order.
3/4, 2/11, t, -13
Let g = -0.2 + 1.9. Let u = g + -0.7. Put u, -1/6, -2/11 in decreasing order.
u, -1/6, -2/11
Suppose -2*q + 5 = 4*v + 1, 2*q - 24 = v. Sort q, -1, 5 in ascending order.
-1, 5, q
Let x = -49 - -51.7. Let m = -3 + x. Let r = -0.6 - 1.4. Sort 0.1, m, r in descending order.
0.1, m, r
Let t = 0.038 - 0.138. Let d = 43 + -29. Let l = d + -21. Sort t, l, 1/4 in decreasing order.
1/4, t, l
Let l be 2/(-11) + 3652/121. Sort 5, l, -2 in decreasing order.
l, 5, -2
Suppose -p = 4*p + c - 24, 0 = 4*p + 5*c - 36. Sort p, 2, -3 in decreasing order.
p, 2, -3
Let d be 1/(-12) + 3 + -3. Let z = d - 1/4. Put z, 0, -5 in decreasing order.
0, z, -5
Let z(a) = a**2 + 7*a + 11. Let g be z(-6). Put 3, g, 0, -26 in decreasing order.
g, 3, 0, -26
Let w = -2.9 - 0.1. Let f = -6 - w. Sort -1/6, -2/7, f in decreasing order.
-1/6, -2/7, f
Suppose -4*z = 3*t - 20, -4*z + 20 + 0 = t. Put t, -1, -3, -2 in increasing order.
-3, -2, -1, t
Let u be 34/(-66) + (-3)/(-9). Put -3, -4, u in descending order.
u, -3, -4
Suppose d - 6*d + 10 = 0. Put 4, 3, d in increasing order.
d, 3, 4
Let v = -18 - -52/3. Let g be 36/(-19) + -3 + 5. Put g, v, -0.3 in increasing order.
v, -0.3, g
Let n = -0.1 - -1.9. Let h = 2 - n. Sort h, -3, -1 in decreasing order.
h, -1, -3
Let j be (-2)/3*(-12)/(-8). Let o = 122/3 - 40. Sort o, -2/7, j in ascending order.
j, -2/7, o
Let n = 20 - 2. Let a = n + -16. Let c be -1*(3 + -1)*2. Sort -5, c, a.
-5, c, a
Let a = -24 - -43. Let b = a + -19.5. Put b, 0.4, -1 in descending order.
0.4, b, -1
Let r = 0.024 - 10.024. Sort -3, -0.4, r in increasing order.
r, -3, -0.4
Let r = 0 + -4. Suppose 10 = 2*x, 5*n = n + 4*x - 24. Let t = -1/2 - n. Sort r, t, -2/13 in increasing order.
r, -2/13, t
Let r = 16.3 + -16. Sort 3, r, -2, -3/2.
-2, -3/2, r, 3
Suppose -3*o - 4 - 2 = 0. Put -3, -5, o in descending order.
o, -3, -5
Suppose 4*t = -0*t + 16. Suppose 2*k = -4*o + 2, -5*k + 4 = t*o - 7. Let j be ((-1)/k)/(21/(-18)). Put 0.2, j, 3 in decreasing order.
3, j, 0.2
Let d = -116 - -113. Let o = 9 - 5. Sort 3, d, o in increasing order.
d, 3, o
Let v = 3.5 - -1.5. Put v, 0.05, 3 in descending order.
v, 3, 0.05
Let a = -17.44 - -18. Let u = a + -0.06. Sort u, -3/2, 2/5 in descending order.
u, 2/5, -3/2
Let n be (7 - 1)/(0 + -2). Suppose 6*p - 35 = -p. Sort 4, p, n in descending order.
p, 4, n
Let i = 48 - 48. Sort 3, i, 0.5 in ascending order.
i, 0.5, 3
Let c(h) = -3*h - 4. Let k be c(-4). Let g be ((-18)/24)/(2/k). Sort 1, -5, g in decreasing ord | {
"pile_set_name": "DM Mathematics"
} |
4/5?
80
Let u = 1774 - 1760. What is the smallest common multiple of u and 130?
910
Let k = 44/133 + -1219/3857. Find the common denominator of k and 95/28.
812
Suppose -t + 106 = t. Let l = t + -37. Suppose 0 = -2*d + 5*s + 14, 4*d + 34 - 48 = 3*s. Calculate the least common multiple of l and d.
16
Let v = -251 + 359. Calculate the lowest common multiple of v and 9.
108
Suppose -24*x + 89 = -103. Calculate the lowest common multiple of 12 and x.
24
Suppose 0*b = q + 2*b - 93, -5*q = 4*b - 447. What is the common denominator of (-176)/26*(5 - q/18) and -50/11?
429
Let s = 806 - 8083/10. What is the common denominator of 81/152 and s?
760
Let n(o) = -o**3 + 12*o**2 + 15*o + 3. Let p be n(12). Suppose -181 - p = 4*x. Find the common denominator of 13/10 and (-209)/x - 17/119.
130
Let b(f) = -4*f**3 + 0*f + 1 - f**3 + f + f**3. Suppose -36 = -5*z - 4*i, 2*z + i - 14 = -i. Calculate the lowest common multiple of z and b(-1).
8
Suppose -5*h - 5*u = -0*h + 95, 3*h - 2*u = -62. Calculate the smallest common multiple of 7 and 15*-6*2/h.
63
Let s = -4 - -2. Let d = s + 19. Calculate the least common multiple of 10 and d.
170
Suppose 5*q - 40 = -4*p, 2*p + 12 = 2*q - 4. Suppose -g + 8*g = 140. What is the smallest common multiple of q and g?
40
Let i(l) = 46*l**3 + l**2 - l - 1. Let q = -1 + 0. Let d = -31/171 + -4105/1881. What is the common denominator of d and i(q)?
11
Suppose 508 = 4*w + 4*n, -4*w - 5*n = -0*n - 507. Let x = 32 + w. Calculate the common denominator of -3 + 4/(x/604) and -61/14.
70
Suppose 337 = 3*r + 2*p - 12, r + 5*p = 125. Suppose -4*j - 27 = -r. What is the smallest common multiple of 4 and j?
44
Let f be (-4)/(-20) + (-69)/395. Let l = 683/1106 + f. Calculate the common denominator of 2/3 + 82/12 and l.
14
Calculate the lowest common multiple of 822 and (26/(-52))/(1 + (-23)/22).
9042
Let r = 196427/4850 + -1/2425. Let m be (-30593)/8*(-8)/(-20). Let d = -1530 - m. Calculate the common denominator of d and r.
20
Let c = -13 - -16. Let q(b) = b - 4. Calculate the smallest common multiple of c and q(7).
3
Calculate the lowest common multiple of (9/4)/((-7)/(-56)) and 8.
72
Let v be 0 - 1 - (-105)/57. Let f = 337/209 + v. What is the common denominator of 0 - ((-82)/(-18) + (-4*6)/4) and f?
99
Let k be ((-4)/(-12))/((-1)/(-78)). Let l = k - 16. Let p(b) = b**3 + 4*b**2 + 4*b + 6. What is the least common multiple of p(-3) and l?
30
Let t be 1077798/228 - 2/(-4). Let j = t - 453890550/96007. Let h = j + -722723/60636. Calculate the common denominator of h and 25/6.
12
Let k be 15 + -18 - (-4 + 1). Suppose -u + k + 36 = 2*d, 0 = d - 3. Calculate the least common multiple of u and 33.
330
Suppose -d + 5*p = -3*d - 15, 3*d = 3*p + 30. Suppose -5*r + 4*s + 1 + 6 = 0, -4*s = d*r - 23. Calculate the smallest common multiple of r and 21.
21
Calculate the common denominator of 19/7 and -285*14/(-3717)*(-6)/(-8).
826
What is the common denominator of -119/30 and 1*-2 - 13/(5200/(-1112))?
150
Let h = -632549/5 - -128661. Let b = 4293/2 - h. Calculate the common denominator of b and 42.
10
Suppose 0 = 14*k - 473 + 375. What is the least common multiple of k and 11?
77
Let o(j) = -7*j**2 - 5*j - 5. Let s be o(-2). Let r = s - -25. What is the least common multiple of r and 24?
24
Let d(m) = -33*m - 76. Let a be d(13). Find the common denominator of (-10)/5*a/(-100) and 230/(-21) + 4/14.
30
Let b(a) = 1457*a**2 + 2*a**3 - 1460*a**2 + 4 - 3*a**3. Suppose 5*v = 2*v + 3. Calculate the least common multiple of v and b(-3).
4
Let q(h) = 154 + h**2 + 11*h + 8*h - 154. Suppose -51 = -4*s - 19. Calculate the smallest common multiple of s and q(-20).
40
Let o = 12/205 + -8596/6765. Calculate the common denominator of o and -52/63.
693
Let p = -40 - -42. Suppose 3*m = d - 13, -2*m = p*d - m - 19. What is the least common multiple of 64 and d?
320
Let g = -416725 + 27086512/65. Let k = g + 71/26. Calculate the common denominator of k and -57/22.
110
What is the least common multiple of 8 and 90/21 - 30/105 - -164?
168
Let g(x) = x + 17. Let u = 24 - 11. Suppose -v = -u - 5. Calculate the least common multiple of v and g(-11).
18
Find the common denominator of 25/27 and 7/(-49) - (6 - (-21310)/(-3444)).
2214
What is the lowest common multiple of ((-7)/(-3) - 0)/((-2)/(-12)) and 2?
14
Let a be ((-2)/(-2))/((3 + 0)/102). Suppose 0 = 3*t + 2*n - a, -t + 5*n = 3*n - 22. Let s = -12 - -26. Calculate the smallest common multiple of t and s.
14
Suppose 31 = 5*r + 11. Suppose 4*q + 32 = r*c, 3*c + c - 30 = 3*q. What is the least common multiple of 11 and c?
66
Find the common denominator of 0/6 + 57/30 and 245/(-28) - 4/2.
20
Suppose -4*v + 5 = 5*i - 40, 0 = -i - v + 9. Calculate the smallest common multiple of 15 and i.
45
Suppose 0 = -2*n - 4*n. Suppose 4*p - 21 = 5*c, 0 = -2*c - n*c - 2. Suppose 4 = 2*i + 2. Calculate the least common multiple of i and p.
4
Let l = -219 - -112. Let j = l + 147. What is the least common multiple of j and 20?
40
Let s = -2/4381 + -442461/43810. Suppose -10*v = -2*v + 4320. Calculate the common denominator of (-3)/(-50)*(v/(-8))/1 and s.
20
Let t be -1 + -2 + 915158/(-40). Let z = t - -22877. Let v = -20/13 + 667/104. Find the common denominator of v and z.
40
Let b be ((-3)/2)/(15/(-40)). Let q(p) = -p**3 + 5*p**2 - 3*p - 4. Let k be q(b). Calculate the common denominator of ((-82)/2)/(-3 + k) and 43.
3
Let a = 2593487/96 + -27016. Let r = 1033/60 - 47/3. Find the common denominator of a and r.
480
Let a(u) = u**3 + 12. Suppose -4 = 3*f + 4*m, 0*f - m = -f + 1. Calculate the least common multiple of 20 and a(f).
60
Suppose c + 16 = 21. What is the common denominator of 5/(c/2) + (-213)/(-54) and -115/12?
36
Let b be (-3 + -1)*(-22423)/(-5). Let c = 17794 + b. Let x = -149 - c. What is the common denominator of x and 77/2?
10
Let r(h) = -h**2 - 3*h + 8. Let k be r(-9). Let i = k - -64. Calculate the common denominator of (-12)/i + 422/48 and -71/2.
8
Let r = -108 + 731/6. Calculate the common denominator of 59/4 and r.
12
Suppose 2*p - 48 = -3*t - 0*p, 2*t - 3*p = 45. Calculate the smallest common multiple of 18 and t.
18
Let k = 1349 - 1249. Calculate the lowest common multiple of 44 and k.
1100
Suppose i + 80 = 112. What is the smallest common multiple of i and 136?
544
What is the common denominator of -139/18 and 3*9/(-54) - (-350)/132?
198
Suppose 4*l = 2*l - 2. Let k be 68/4 - l*3. Find the common denominator of 8/3 and 922/k + 6/15.
6
Let n = 1425251/54450 + -1309/50. Let f = n + 75211/15246. Calculate the common denominator of f and (-78)/4*17/306.
84
Let a be ((-3)/15 + 12/10)/16686. Let h = -203017/66744 + a. Calculate the common denominator of -5/12 and h.
24
Let k be 2/4 - 34/116. Let r = k + 388/87. Let x = -49897/10 + 4985. Calculate the common denominator of r and x.
30
Let u be (-389966)/2730 - (-4)/(4 - -16). Let l = u - -1842/13. Calculate the common denominator of -11/3 and l.
21
Suppose 3 = 2*c - 3*z, -c - z - 2 = -2*c. What is the common denominator of 4/((-192)/87) + c/(-12) and -77/16?
16
Let c(j) = -2*j**2 + j + 9. Let w = 0 - -1. Suppose 3*r - 31 + w = 0. Calculate the lowest common multiple of c(0) and r.
90
Let g = 60449/1480 + -1917/40. Let q = g + -1339/370. What is the common denominator of q and 170/(-24) - (-2)/6?
20
Suppose -17*y + 13*y = 36. What is the common denominator of (-109)/12 + 2 - y/(-12) and 57/46?
138
Calculate the smallest common multiple of 9 - (-165)/(-22) - 319/(-2) and 115.
805
Suppose -2*t - t = -12. Suppose -2*g = -22 + t. Suppose 4*i + i - 18 = -3*d, -i + 4*d - 1 = 0. Calculate the lowest common multiple of i and g.
9
Find the common denominator of 161/24 + 14 + -17 and 14/9.
72
Let c = -1042 - -2127/2. Let s = 4623 + -9315/2. Calculate the common denominator of c and s.
2
Calculate the least common multiple of 16 and (-3 - -34)/(12/24).
496
Let l(h) = -6*h - 58. Let x be l(-6). Let y(m) = -306*m**3 - 2*m**2 - 2. Let k be y(-2). Find the common denominator of -91/22 and (-4)/x - k/220.
110
Calculate the common denominator of (-3)/35*(-195)/(-2) and -107/14.
14
Let l = -47643/8 + 5964. Calculate the common denominator of l and 79/14.
56
Calculate the common denominator of 301/(-210)*(-5)/6 and ((-488)/24 - -11)/(10/6).
180
Let y = 284 + -272. Calculate the lowest common mult | {
"pile_set_name": "DM Mathematics"
} |
(-2*k**2 + 6*k**2 + 6*k**4 - 21*k**2)*((-2 - 1 + 4)*(2 + 3 - 4) + (-7 + 5 - 3)*(11 + 2 + 3)) in the form i*k + p + t*k**2 + j*k**3 + g*k**4 and give i.
0
Rearrange 8*a**2 + 62*a - 171*a + 40757*a**3 - 40764*a**3 to the form r*a**2 + z + v*a + b*a**3 and give b.
-7
Rearrange 150*i**2 - 2*i**3 + 0*i**4 + 147*i**2 - i**4 - 294*i**2 + 12*i + 0*i**3 - 2 to q + v*i**4 + m*i**3 + k*i + h*i**2 and give k.
12
Express (6*j - 6*j + 17*j)*(-1 + 2 - 3)*(24499 - 92*j - 24499) in the form r*j + w + k*j**2 and give k.
3128
Express (2382 - 1245 - 1302)*(t**4 + 2*t**4 - 4*t**4) as h*t + s*t**2 + x*t**3 + f + z*t**4 and give z.
165
Rearrange (-5*j**2 + 14*j**2 - 46*j**2)*(2*j**2 - j**2 - 2*j**2) - 7*j**4 + 5*j**4 - 64*j**4 to the form m + a*j + p*j**4 + s*j**2 + t*j**3 and give p.
-29
Express -74*t - 2 - 3*t**4 + 77*t - 110*t**2 + 113*t**2 as r*t**4 + y*t + n + s*t**3 + v*t**2 and give n.
-2
Express (3*v - v + 0*v)*(9 + 5 + 19) + v + 6*v - 3*v + 3*v as i + y*v and give y.
73
Express 153*w + 6531 - 6531 + (-w + 2*w - 2*w)*(-2 + 4 - 1) + (-6 + 0*w + 2 + w)*(-3 + 8 + 0) as o*w + v and give v.
-20
Express -29*u + 2*u**3 - 3 + 647*u - 1229*u - 215*u - 1079*u in the form d*u**2 + v*u + n + o*u**3 and give v.
-1905
Rearrange 3 - 706*w**2 - 226*w - 13 + 703*w**2 to r*w + k*w**2 + b and give k.
-3
Rearrange -20528*k**2 - 9 + 41093*k**2 - 20541*k**2 - 8*k to the form l*k**2 + t + c*k and give t.
-9
Rearrange -4234*q**4 + 2*q - 4231*q**4 - 91*q**2 + 8464*q**4 to the form k*q + d*q**3 + o + c*q**2 + l*q**4 and give c.
-91
Rearrange (0 - 4*x + 0 - 2)*(-6 - 1 - 3)*(0*x**2 - x**2 - x**2)*(-2*x + 5 - 5)*(-66 - 25 + 11) to u*x + j*x**4 + b*x**2 + w + n*x**3 and give b.
0
Express (36 + 5*a - 36 + 2*a + 4*a - a + (-1 + 4 - 1)*(-a + 0*a + 0*a))*(-39 - 44 + 66) in the form r + y*a and give y.
-136
Rearrange 1659*b**3 + 1589*b**3 - b**2 - 3252*b**3 + 5*b**4 - 18 to the form h*b**3 + o*b**2 + g*b + v + l*b**4 and give v.
-18
Express (-3 + 3 + 2*n)*(-1 + 1 - 3*n)*(n**2 - 94 + 11*n - 98 + 195) as p*n**2 + u*n**4 + h*n**3 + x + y*n and give p.
-18
Express 6338 + 6335 - 12673 + 2902*g as u + x*g and give x.
2902
Rearrange (0*y - 2*y + 3*y)*(131763 - 131763 + 3939*y) to the form t*y + k + h*y**2 and give h.
3939
Express -2*m**2 - 98*m - 11*m**2 - 23*m**3 - 29*m - 38*m**3 + 59*m**3 as s*m**3 + v*m**2 + b + i*m and give s.
-2
Rearrange 51 + 99 - 99 - 3*p to x*p + n and give x.
-3
Express -11239*g - 550*g - 8799*g + 3588*g as d + a*g and give d.
0
Express -47 + 47 - 11*a + (1 - 3 + 0)*(-331*a + 149*a - 362*a) as j*a + w and give j.
1077
Rearrange -6*h**4 + 79154*h - 79155*h - 4*h**2 + 2*h**2 + 0*h**4 - 6*h**3 - 3 to the form z*h + g*h**4 + y*h**3 + i*h**2 + u and give y.
-6
Express -5 - 146*i + 9*i**3 + 146*i + 20*i**2 + 2*i**4 in the form r*i**3 + p + g*i**4 + b*i**2 + s*i and give g.
2
Rearrange 3*n**2 + 883 - 202 - 3*n**3 - 645 - 2*n to q*n**2 + j*n + t + k*n**3 and give q.
3
Rearrange -2 + 60*g**3 - g**2 - 2*g**3 + 0 + 70*g - 71*g - 6*g**3 to v*g**3 + u + i*g**2 + j*g and give i.
-1
Express -2831*n + 2831*n - n**2 + 424*n**3 + 3*n**2 in the form t*n**2 + h*n + x*n**3 + f and give x.
424
Rearrange (-1919 + 1921 + 20*g**2 + g**3 + 1112*g**2)*(-g - g - g + (-1 + 1 + 1)*(3 - g - 3)) to c*g**2 + o*g**3 + q + i*g**4 + f*g and give c.
0
Express 2*v**2 - v - 1038296*v**3 + 1033621*v**3 + 0*v**2 - 2*v**2 in the form z*v**3 + s + k*v**2 + j*v and give z.
-4675
Express (-1 + 1 + 2*d)*(-2*d**2 + 0 + 0) + 165*d**3 - 167*d**3 + 2825 + 2056 + 2*d in the form t + k*d**2 + z*d**3 + f*d and give f.
2
Rearrange 1244*j + 4 + 1247*j + 1312*j**2 - 4 - 2492*j to a*j**2 + r*j + i and give a.
1312
Express 794*b**3 - 2 + 21152*b + 1 + 0*b**2 - 21152*b - 2*b**2 in the form s*b**2 + c*b + f + l*b**3 and give l.
794
Rearrange -1887*x**2 + 9652*x**2 - 2656*x**2 + 8460*x**2 to q + f*x + s*x**2 and give q.
0
Express -b - 228*b**2 - 34219 - b**3 - 231*b**2 + 3*b**3 + 34219 in the form q*b**3 + g*b + m*b**2 + t and give g.
-1
Rearrange (2*l - 3*l + 3*l)*(4 - 4 + 1) + 2916*l - 698*l + 5002*l to the form z + g*l and give g.
7222
Express 132 - 132 - 5*f + f - 4 + 4 + (2 - 1 + 0)*(f - 3*f + 0*f) + 1 - 1 - f + 3*f + 3*f - 7*f + 24 - f + 9 - 195 as t + j*f and give t.
-162
Express h**2 + 163*h**3 - h - 7*h**4 + 40*h**3 + 5*h**4 - 1 in the form o*h**3 + n + w*h + x*h**4 + g*h**2 and give g.
1
Express -2078*u + 9325*u + 1202*u in the form g + v*u and give v.
8449
Express 561*v - 266*v**2 + 494*v**2 + 620*v**2 - 561*v in the form s + n*v + t*v**2 and give t.
848
Express 743*z**2 - 182*z**2 - 191*z**2 - 478 - 185*z**2 - 183*z**2 - z in the form g + n*z + k*z**2 and give k.
2
Rearrange -3*b**2 - 3*b**2 + 3*b**2 + (3 + 1 - 6)*(-b**2 + b**2 - b**2) + 3*b**2 - 4373*b + 4*b**2 + 4480*b to the form w*b + q*b**2 + c and give q.
6
Express (1 + 0 + 0)*(40973 - 4064*x - 81959 + 40986) as j*x + g and give j.
-4064
Express (139 - 139 - 37*d)*(2 + 1 - 5)*(-304 + 304 - 99*d) in the form b*d**2 + c*d + p and give b.
-7326
Rearrange (-3*w + 2 - 2)*(-4*w - 4*w + 5*w + (w + 1 - 1)*(5 - 2 - 2)) - 1985*w + 1985*w - 41*w**2 to x + y*w + l*w**2 and give l.
-35
Express -745*s + 378*s + 130*s - 5 in the form x + q*s and give x.
-5
Rearrange (-l + l + 2*l)*(4 - 4 - 13*l) + 21*l**2 - 10*l**2 - 89*l**2 to i + h*l**2 + b*l and give h.
-104
Rearrange (21 - 3 + 8)*(-r - 4 + 4)*(1129*r - 1129*r + 34*r**2) to the form t*r + c + u*r**3 + j*r**2 and give j.
0
Express 146*v - 17*v + 0*v - 2*v + 2*v + v + (-6 + 4 + 1)*(-2*v + 3 - 3) - 6*v + 4*v + v in the form s*v + y and give s.
131
Express -259*v + 744*v + v**2 - 243*v + 6446 - 240*v as l*v + g*v**2 + s and give g.
1
Rearrange (0*k + k + k)*((4 + 0 - 3)*(0 + 3 + 0) + 3 + 2 - 3)*(110*k - 882*k - 23*k) to u + p*k + r*k**2 and give r.
-7950
Rearrange 2185*p**2 - 2186*p**2 - 415*p - 11 + 367*p to h + j*p + o*p**2 and give o.
-1
Rearrange (-2 - 1 + 1)*(416*b + 94*b**2 - 416*b) + (12*b - 3*b + 13*b)*(0*b + 2*b - b) to the form w*b + v*b**2 + s and give v.
-166
Rearrange 301 + 299 + 302 + p**4 + 53*p**2 + p**3 - 902 to z*p**3 + a*p + j*p**2 + d + w*p**4 and give w.
1
Rearrange (-2*t**3 - 2*t**2 + 2*t**2)*(629*t + 185 - 18 - 614*t) to the form w + o*t**2 + d*t + r*t**3 + v*t**4 and give r.
-334
Express -2*f**3 + 3*f**3 + 23*f**3 - 2*f**2 - 32*f**3 - 9*f**4 + 18*f**4 as i*f**3 + k + v*f + o*f**4 + n*f**2 and give n.
-2
Express -798 - 19*h**3 + 796 + 54*h**4 - 37*h**4 as j*h + g + c*h**4 + x*h**2 + a*h**3 and give g.
-2
Rearrange 3083 + l + 271 + 1632 + 2067 + 0*l to the form d*l + r and give d.
1
Express -3*i**2 - 2897*i**3 + 1 - 2884*i**3 + 2 + 5797*i**3 as m*i + n*i**2 + z*i**3 + g and give z.
16
Rearrange -2*w - 3*w**3 + 12*w**3 - 1 + 0*w**3 - w**2 + 3*w**4 + 0 to the form g*w + f*w**2 + r + x*w**4 + i*w**3 and give r.
-1
Express 8*n**4 + 104 + 3*n**2 + 107 - 3*n - 7*n**2 - 212 - 3*n**2 in the form h + f*n**4 + a*n**2 + r*n**3 + p*n and give a.
-7
Express -7 - 9 - 713*n**2 - 3510*n**2 + 16 as z*n**2 + k + s*n and give z.
-4223
Express -2*z**2 + z**3 - 99550*z + 99558*z + 4 + 5*z**3 + z**4 - 7*z**3 - 1 in the form v*z**3 + d + b*z**2 + m*z + s*z**4 and give v.
-1
Express (2 + 9 + 1)*(-5 + 1 + 0)*(111*s**2 + 178*s**2 - 329*s**2) as j*s + a + t*s**2 and give t.
1920
Rearrange (-6*o - 3*o + 0*o)*(14*o - o - 6 + 3) - 10*o**2 + o**2 - 2*o + 1 + 7*o**2 to w + l*o + v*o**2 and give w.
1
Express (l - l + l)*(1 + 3 - 2)*(-390 - 2 - 516) as v + d*l and give d.
-1816
Express 3835*f + 399*f + 1217 - 608 - 609 in the form j*f + r and give j.
4234
Rearrange -2*l - 15 + 0*l + 7156*l**3 - 9 - 7160*l**3 + 2*l**2 to the form y*l**2 + s*l**3 + t*l + p and give t.
-2
Express 363*k - 817*k - 2 + 6 in the form o + g*k and give g.
-454
Express (2*b - 3*b + 2*b)*(1 - 11 - 6) - 25*b + 36*b + 30*b + (b + 3*b - 5*b)*(-3 + 5 - 4) in the form q + f*b and give f.
27
Rearrange 19*r**2 - 36*r**2 - 68*r + 25*r + 16*r**2 + 32*r - 202 to the form c*r**2 + f*r + x and give x.
-202
Express (y - 3*y + 4*y)*(60 + 3577 + 5413 + 3675 - 1040) as f*y + s and give f.
23370
Express -93 + 4*o**2 + 2*o**2 + 9*o**2 as m*o + u*o**2 + h and give h.
-93
Rearrange -12*a + 12*a + 13*a**3 + (-86*a**2 + 36*a**2 + 33*a**2)*(5*a + 0*a - 3*a)*(4 - 9 - 3) to x*a + c*a**3 + q + l*a**2 and give c.
285
Express -7623*q - 3259*q - 329*q - 2809*q - 2720*q as x*q + h and give x.
-1 | {
"pile_set_name": "DM Mathematics"
} |
11 = t, 8*b - g*b - 8 = 0 for m.
1
Let y(x) = 5*x**3 + 2*x**2 - 6*x - 1. Let r be y(2). Let q(o) = 5*o - 170. Let p be q(r). Solve -3*i - g - 1 = -0*i, -25 = -5*i + p*g for i.
1
Let n = 677 + -671. Let b(c) = -2*c**2 + 3*c + 4. Let t be b(3). Let x(z) = z**2 - 2*z - 21. Let v be x(t). Solve v = 5*q - 3*u, q + 2*u - n - 2 = 0 for q.
4
Let h = 25064 + -25053. Solve 0*t + h = -5*q + 3*t, 0 = 5*t - 10 for q.
-1
Let a(u) = -37*u**3 + 2*u**2 - 8*u + 15. Let i be a(3). Let r = -990 - i. Solve -6 = 3*p - 2*x, r*x = 2*p - 2*x + 6 for p.
0
Let h(p) = -p**3 - 10*p**2 - 22*p - 3. Let a = 79 - 86. Let m be h(a). Solve 3*y + 1 = -4*o + 8, 13 = y + m*o for y.
-3
Suppose -8*h + 20 = -3*h. Suppose -47 = h*c - 19. Let x be c/7 + 1 + 9/1. Solve -2*j - 5*w + x = -10, 22 = 5*j + 4*w for j.
2
Let x(u) = -u**2 + 5*u - 1. Let r be x(1). Suppose f = 5*c + r*f - 74, -3*c = -f - 40. Suppose 13*p + 3 = c*p. Solve -l - p = k, -k + l = 5*l for k.
-4
Let f(o) = 19*o**2 - 5*o + 8. Let t be f(1). Suppose 3*b + 17*u - 26 = t*u, 2*b + 12 = -4*u. Solve 18 = 4*m + b*l, 5*m - 18 = 2*l - 0*l for m.
4
Let i be 6 - (0/2 - -1). Suppose 50*r - 59*r = -27. Suppose r*n + 15 = 4*f, -2*n = -5*f - 0*n + 17. Solve -f*t + 20 = 4*g, -t + 32 - 7 = i*g for g.
5
Let z be 0/2 - (-37)/1. Suppose -5*s = -3*h + z, 3*h + 0*h + 3*s = 21. Suppose -10*y = -2*y. Solve v + i - 4 = 0, 4*v + h = i - y for v.
-1
Let b be (-51 + (5 - 5))*7/(-21). Solve 5*r + 3*h + b = 0, -2*h - h - 1 = r for r.
-4
Let w = 324 - 268. Let m = w + -47. Solve 3*f = -3*u - m, 2*u = 3*f - 2*f - 9 for f.
1
Suppose -322 = 4*d - 490. Suppose d*t - 2 = 41*t. Solve -3*k - n = -t, 4*k + 2*n = 5*n + 20 for k.
2
Let l(y) = -15*y. Let n be l(-2). Let p = 36 - n. Suppose -5*d = -3*c, 0 = 4*c + p*d - d. Solve -8 = 2*x, w + 2*x + 0*x + 3 = c for w.
5
Suppose -48*q + 67*q = 437. Solve -4*x = 4*d + 77 - 89, -q = 4*d - 3*x for d.
-2
Let x = 1022 - 1018. Solve 9 = -5*k + 4*i + x, 0 = -4*i for k.
-1
Suppose -2*x + 27 = 5*j, -12*j + 8*j + 24 = 2*x. Let t be (-24)/(-16) - 21/x - -7. Solve -30 = -3*a + t*o - 5, -o = 2*a + 5 for a.
0
Let q be 34/51*6/(-4). Let g(r) = -27*r**3 - 3*r**2 - 3*r - 1. Let a be g(q). Solve -t = -m, 5*m - t = 6 - a for m.
-5
Let y be 3*((-13)/3 - -4)*-4. Suppose y*r = -3*d + 8, 2*r + 3*r - d - 29 = 0. Suppose 0 = 2*o + r - 13. Solve -3*q = v - 18, -o*v = -2*q - 4 + 2 for v.
3
Let w = -332 - -185. Let o = -154 - w. Let z(u) = u**3 + 5*u**2 - 14*u. Let r be z(o). Solve r = -v - b - 5, 3*v + 7 = b - 4 for v.
-4
Let p(u) = -2*u**2 - u + 51. Let y be p(-5). Let d = -4 + y. Solve -2 = 3*n + 2*l, -3*l - d*l = -10 for n.
-2
Let o(g) = -g**3 + 74*g**2 - 45*g - 1979. Let l be o(73). Solve -4*i - 12 = 4*x, 3*i + l - 44 = 0 for x.
4
Let v = -6 - -14. Suppose -2107 = 30*k + 3113. Let f be k/(-8) - (-2)/v. Solve -3*m = -0*x + 4*x + 26, -m = 4*x + f for m.
-2
Let b = -12773 - -12775. Solve -3*z + 6 = b*k, -3*k - 20*z + 23*z - 6 = 0 for k.
0
Let m(t) = -t**2 + 47*t - 207. Let q be m(5). Solve 2 = -2*w + 5*h - 7*h, 27 = -q*w + 3*h for w.
-5
Let b(g) = -574*g + 574. Let x be b(1). Solve -f - 15 = y - 5*y, x = 4*y - 16 for f.
1
Let b(l) = 60*l + 7. Let h be b(0). Solve 0 = -h*r + 3*r - 4*o, -r - 16 = 5*o for r.
4
Let v be ((-160)/(-28))/(14/49). Let b be v/25 - (-1)/5. Solve -2*u - 2*y + b = -u, 0 = u + 3*y - 2 for u.
-1
Let t(i) = 2*i**2 + 49*i - 258. Let r be t(-29). Solve 4*h - 2 = r*v, 0 - 9 = 5*h + 2*v for h.
-1
Let j = 357 + -159. Suppose 0 = -28*w + 6*w + j. Solve 1 = 5*v + 3*q, -w = 3*v + 3*q + 2*q for v.
2
Let n(l) = -l**2 - 13*l - 17. Let w be (1 + 2)/1 - -72. Suppose -20 = -5*t - w. Let o be n(t). Solve 0*s + 6 = 3*s - o*f, 0 = -3*s - f + 6 for s.
2
Let h = -2558 + 2561. Solve h*d = 4*o - 29, -3*o + 4*o + 5*d = -10 for o.
5
Suppose -n + 3 = 3*x + 7, 4*n + 2*x - 14 = 0. Solve 5*z - 29 = -b + 4*b, -b - n*z = -17 for b.
-3
Suppose 55*j - 461 + 258 - 457 = 0. Solve -2*a = -2*r - j, -4*r - a - a = 0 for r.
-2
Let d = -384 - -391. Let r(q) = -q**2 - q + 61. Let f be r(d). Solve m = -f*j + 19, -5*m = -5*j + 1 - 6 for j.
3
Suppose 4*w + 17 = 4*p - 15, 0 = 3*p - 2*w - 24. Suppose 3 - p = -d. Solve r + 3*j = -2*r - 12, d*r + 20 = j for r.
-4
Suppose 4*q - z - 12 = 8, -4*z + 15 = 3*q. Suppose 5*v = -4*g - 0*g + 26, -18 = -2*g - q*v. Solve -2*r - 4 - 2 = -g*b, 0 = -r + 3*b - 4 for r.
-1
Let n be 19 - 2*(-3)/3. Let m be (-9 + (4 - 0))/(-1). Suppose 2 = -m*f + 17. Solve 4*p + 0*p - w + n = 0, -f*w + 28 = -5*p for p.
-5
Let y be ((-360)/35 - -10) + 298*(-4)/(-56). Solve s - 4*s + 3*w = y, w + 13 = -4*s for s.
-4
Suppose 26*z = 22*z - 8. Let d be z/8 + (-60)/48*-1. Solve d + 0 = 5*a + 3*q, 3*a + q + 1 = 0 for a.
-1
Suppose -3*s - 4*i + 2 = 0, s - 149*i = -145*i + 38. Solve 3*b = -2*v + 5*v, s = -b + 3*v for b.
5
Suppose 4*o = o + 5*u - 9, 4*u - 12 = 0. Solve -6 + 16 = -q - o*m, 5*m = -q - 16 for q.
-6
Let l = 91 - 89. Suppose -5*m = 4*b - 16, -l*b = 4*m - 3*b + 4. Suppose -7*p + 3*p + 24 = m. Solve s + p = -2*d, -4*s + 4*d = 8*d + 8 for s.
2
Suppose -5*c - 124*p + 125*p + 27 = 0, -5*c + 35 = -5*p. Solve -2*x + 3*b - 12 = 8*b, -20 = c*b for x.
4
Let g(f) = -4*f**2 - 123*f + 444. Let s be g(-34). Solve s*a - 12 = -3*o, -2*a + 13 = 2*o + 5 for a.
0
Suppose 15*y = 13*y + 8. Suppose -11*r + 7*r = 2*j + y, 3*j = -3*r. Suppose 0 = -4*v - 1 + 9. Solve -j*n - 2 = -v*s, 4 = -5*s + 2*n - 0 for s.
-2
Suppose -5*u - 31 = 59. Let h be (18 + u)/(-1 + 0). Suppose -3*l + 3*i + 15 = -0*l, 3*l = i + 9. Solve g + t + t = 9, -l*t + 10 = h for g.
-1
Let u be (2 + 0)*10/4. Let x be (-141)/329 - (2/(-28))/((-3)/(-186)). Solve 4*o + 3*l = u*l + 24, l + x = 0 for o.
4
Let u = -57 + 85. Let c = u - 34. Let j be ((-20)/c)/10 + (-16)/(-6). Solve -3*p = -j*w + 29 - 8, 5*p - 3*w = -29 for p.
-4
Suppose 4*p + 10 - 32 = -m, m = 5*p - 23. Solve -m*u + 2 = 5*x, -17*x + 19*x = -u for x.
2
Let p(i) = i**2 + 27*i + 4. Let o be p(-27). Suppose -3*j - 40 = -4*u, -4*u - o*j = -j - 16. Solve 2*c - 5*c = -2*z + u, -c = 3*z - 5 for c.
-1
Let u be (-73*(-1 - 0))/(5 - 4). Suppose -67 - 298 = -5*f. Let d = u - f. Solve d = -2*o - 3*o + 3*n + 11, -3*o + 3 = -3*n for o.
4
Suppose u - 11*u = -0 - 0. Solve 4*a + 2*m = -u*a + 4, 4*a = -m for a.
-1
Suppose 135*o - 25*o - 134 - 306 = 0. Solve 2*x = 2*s - 2, 3*x - o*x - 13 = 2*s for s.
-4
Suppose 4*m = -4*j + 4, 8*j = -3*m + 3*j - 5. Suppose -11*i = -6*i - 2710. Let n = -539 + i. Solve -v - 4 = -n*v + 4*h, 5 = -4*v - m*h for v.
0
Let m be (60/(-14))/(6/84). Let q be (-1)/4 - 4935/m. Suppose 3 = -2*d + 7, -3*b - 5*d = -q. Solve 25 = -5*o + 4*r, 0*o + b = o + 5*r for o.
-1
Suppose -18*f - 1 - 125 = 0. Let o(d) = 15*d + 121. Let k be o(f). Solve -35 = -2*p - 4*g - 11, k = 2*p + 2*g for p.
4
Let h = 5 + 0. Let k(f) = f**3 - 59*f**2 + 394*f - 182. Let u be k(7). Solve 4*r = 3*t - u, -3*r - 8 = h*t - 4*t for t.
4
Let v = 13317 + -13300. Solve -q - 4*w - 11 + v = 0, -4*q = 5*w - 13 for q.
2
Suppose -6*a = 30 - 54. Solve -4*i + 4*h = -7 + 19, a*i - 2*h = -12 for i.
-3
Let j(x) = x**2 - 3*x - 2. Let r be j(5). Let l be -1*((-4802)/1225 - 4/50). Suppose 72 = l*a + r*a. Solve 4*i - a = -s, i - 2 = -3*s + 5*i for s.
2
Suppose 0*u + 198 = 3*u. Let q = u - 63. Solve c = 0, -q*a = -2*c + 6*c - 15 for a.
5
Let o(p) = -2*p + 2. Let w be o(8). Let r be w/(-4) + 6/(-12). Let s be (-2)/(20/8 - r). Solve 2*n + t - s*t - 23 = 0, n - 4*t - 24 = 0 for n.
4
Let q(u) = -u**2 + 7*u - 7. Suppose -3*d = 3*b - d, 2*d = 4*b - 14. Let f be q(b). Solve -f*p + 12 = 2*i - p, 2*p - 13 = -3*i for i.
1
Suppose r + 197 = -3*k - 268, 0 = -5*k. Let w = r + 470. Solve -2*j = -w*o - 0*j + 12, -7 = -o + 5*j for o.
2
Let q be (5 - (-282)/(-54)) + (-38)/(-9). Suppose -61 = q*r - 69. Suppose -l = 2*l - 6, -r*n = -4*l + 8. Solve n = 4*v + g + 17, -v = -0*v + 3*g - 4 for v.
-5
Let z be 1/1*2/1 - -2. Suppose -2*p + 6 = k, p + 4*k = k + 3. Suppose -4*s - 3 = -p*d, 0*s + 13 = s + 2*d. Solve 7*f - z*f = s*v - 3, 0 = 4*v - 5*f for v.
5
Let y be -8 + (-231)/42*32/(-22). Let f(l) = -2*l**2 - 13*l + 19. Let q be f(-7). Solve g - 4 = -w, -g - g - 4*w + q = y for g.
2
Suppose -20 = -3*k - k. Let v = 82661 - 82661. Solve v*f = -k*m - 5*f, -5*m - f = 0 for m.
0
Let r = 1918 + -1900. Solve -p = 5*x - 21, -2*x + r = 4*p + 6 for x.
4
Let b = 258 - 256. Let x = 20 + -16. Suppose -a + 5*j = -2*a + 4, -x*a = -j - 1 | {
"pile_set_name": "DM Mathematics"
} |
- 117. Let p(i) = -2*f(i) - 3*h(i). What is the derivative of p(g) wrt g?
244*g
Suppose -30 = 4*q - 9*q. Let g = -4 + q. Differentiate g + 1 + 3*r**2 - 9 - 6*r**2 wrt r.
-6*r
What is the third derivative of 47 + 4*y**4 - 10 + 11*y**4 - 2*y**2 wrt y?
360*y
Let j(k) be the first derivative of k**4/12 - 3*k**3/2 + 19*k**2/2 + 17. Let o(p) be the second derivative of j(p). Differentiate o(f) with respect to f.
2
Let n = -10 - 2. Let q = -11 - n. Differentiate q - 3 + 5 + 1 + 3*c wrt c.
3
Let v = -10 + 10. Find the first derivative of 2 + v - 3*s**2 - 5 - 2 wrt s.
-6*s
Let z = 21 + -19. What is the third derivative of -9*p**5 - 5*p**z - p**5 - 5*p**5 wrt p?
-900*p**2
Let y(c) = 10*c**3 - 3*c**2 - 47*c + 97. Let o(q) = -16*q**3 + 5*q**2 + 94*q - 194. Let h(k) = -3*o(k) - 5*y(k). What is the first derivative of h(n) wrt n?
-6*n**2 - 47
Differentiate -173*m + 6*m**2 + 51 - 175*m + 343*m - 20*m**2 wrt m.
-28*m - 5
Suppose -5*v - 21 + 151 = 0. Suppose 2*y - 7*y = -5*l - 40, -2*y + v = -4*l. What is the second derivative of 3*f**3 + 5*f**3 - 15*f**y - 2*f wrt f?
-42*f
Let o(u) be the first derivative of 0*u**2 + 9/4*u**4 + 0*u + u**3 + 9. Find the third derivative of o(n) wrt n.
54
What is the second derivative of 2342*d**2 + 8*d + 2323*d**2 - 4744*d**2 wrt d?
-158
Let g(a) be the third derivative of 47*a**6/12 - 10*a**4 - 32*a**2 + 3. Find the second derivative of g(v) wrt v.
2820*v
Let v(c) be the first derivative of -2/3*c**3 + 0*c + 19/2*c**4 - 31 - 1/2*c**2. Find the third derivative of v(d) wrt d.
228
Suppose 6*h - 2*h = 20, 0 = 2*v - h + 1. Find the first derivative of p**v - p**2 + 20*p**4 + 0*p**2 - 25 wrt p.
80*p**3
Let c(u) = -u - 1. Let m = 7 - 1. Let t(n) = -6*n - 8*n**2 - n**3 - m + 2 + 8*n**2. Let l(k) = 6*c(k) - t(k). What is the derivative of l(j) wrt j?
3*j**2
Let x(f) be the first derivative of f**5/5 - 2*f**3 + 915*f**2/2 - 622. Find the second derivative of x(a) wrt a.
12*a**2 - 12
Suppose 1 - 10 = -3*b. Find the third derivative of -59*y**2 - b*y + 68*y**2 + 3*y + 6*y**5 wrt y.
360*y**2
Let i(l) be the third derivative of 3/20*l**5 + 0*l**3 + 0*l + 0 + 17*l**2 - 5/8*l**4. Find the second derivative of i(o) wrt o.
18
Let s(l) = -186*l**2 + l - 136. Let t(x) = 2*x**2 + x + 1. Let v(q) = s(q) - t(q). Differentiate v(r) wrt r.
-376*r
Let f(v) be the first derivative of 0*v**2 + 0*v - 10/3*v**6 + 0*v**5 - 13 + 0*v**4 + 5/3*v**3. Find the third derivative of f(u) wrt u.
-1200*u**2
Let s(k) be the first derivative of -63*k**5/5 - 11*k + 162. Differentiate s(n) wrt n.
-252*n**3
Let z(w) = -2*w**2 - 29*w - 211. Let p(l) = 6*l**2 + 59*l + 422. Let v(u) = -2*p(u) - 5*z(u). What is the derivative of v(b) wrt b?
-4*b + 27
What is the third derivative of -2 + 17*l**5 + 0 - 37220*l**2 + 37075*l**2 + 7*l**4 + 3 wrt l?
1020*l**2 + 168*l
Let k(f) = f - 3. Let n be k(6). Suppose 5*s = n*t + t + 45, 20 = -4*t. What is the first derivative of s - 6*z**4 + z**4 - 4 wrt z?
-20*z**3
Let v = 9 - -3. Let a = 15 - v. What is the first derivative of a*z**2 - z**2 - 4 + 4*z**2 - 1 wrt z?
12*z
Let w(n) = 110*n**2 - 21*n - 2. Let l(g) = -110*g**2 + 21*g + 2. Let v(s) = -2*l(s) - 3*w(s). Find the second derivative of v(p) wrt p.
-220
Let n(q) be the first derivative of -342*q**5/5 + 27*q + 265. Differentiate n(v) wrt v.
-1368*v**3
Suppose -t + 2*t - 3 = 0. Find the second derivative of -9*w**3 - 11*w - t*w**5 + 9*w**3 wrt w.
-60*w**3
Let c(r) = -r. Let o(q) = -43*q - 29. Let g(i) = -5*c(i) + o(i). Let p(n) = 114*n + 89. Let z(l) = -17*g(l) - 6*p(l). What is the derivative of z(a) wrt a?
-38
Let w(p) = 7*p**2 - 3*p + 30. Let y(a) = 16*a**2 - 7*a + 61. Let u(m) = 7*w(m) - 3*y(m). Find the first derivative of u(s) wrt s.
2*s
Let q(f) be the second derivative of -23*f**6/15 - f**3/3 - 79*f**2/2 - 74*f. Find the first derivative of q(x) wrt x.
-184*x**3 - 2
Find the first derivative of 4*w**3 - 3*w**3 - 10 - w**3 + 21*w**4 - 78*w**4 wrt w.
-228*w**3
Suppose -2*h - 5 = -3*h. Let s = -10 - -13. Find the second derivative of -3*b + 5*b**4 + 47*b**3 - 47*b**s + h*b wrt b.
60*b**2
Let a be (0 - (-1 - 1)) + 2. Let c(r) = -10*r + 123. Let i be c(12). Find the third derivative of 3*g**2 + 4*g**2 - i*g**a + 15*g**4 - 3*g**2 wrt g.
288*g
Suppose -2*a + 0*a = -18. Suppose 3*q = 45 + a. Find the third derivative of 25*s**2 + 6*s**4 - q*s**2 - 3*s**4 wrt s.
72*s
Let h(o) = -2*o**3 - o**2 + 2*o - 36. Let r(g) = -2*g**3 + g**2 + 1. Let y(w) = -2*h(w) - 2*r(w). Differentiate y(z) with respect to z.
24*z**2 - 4
Find the second derivative of 94 + 7*h**2 + 27*h**2 - 7*h**3 + 12*h**3 + 3*h**5 - h - 5*h**3 wrt h.
60*h**3 + 68
Let f = 20 - 16. Suppose f*t = -8, x - 5*x - 5*t - 2 = 0. What is the third derivative of 4*u + 8*u**2 - 4*u - 2*u**5 - x*u**5 wrt u?
-240*u**2
Let w(c) = c**3 - c + 1. Let y(p) = -32*p**3 - 3*p - 34. Let v(r) = 3*w(r) - y(r). What is the first derivative of v(m) wrt m?
105*m**2
Find the first derivative of 60*k**4 - 195 + k**3 + 10 - k**3 - 135 + 2*k**2 wrt k.
240*k**3 + 4*k
Let m be (16 - 12)/(5/((-230)/(-4))). What is the third derivative of -27 + 45*w**2 - 19 - 37*w**3 + m wrt w?
-222
Suppose 4*u + 3*y - 4 = 0, 3*u + 2*y = u. Suppose v + 4*d - 12 = 0, -3*d - 8 - 2 = -u*v. What is the first derivative of x**v - 1 + x**4 - 4 wrt x?
8*x**3
Let j(o) = -5*o**4 + 3*o**3 + 2*o**2 - 7*o - 5. Let x(f) = -f**3 - f**2 - f + 1. Let b(p) = -j(p) - 5*x(p). What is the third derivative of b(w) wrt w?
120*w + 12
Let x(w) be the third derivative of w**9/252 - 13*w**7/210 + w**5/5 - w**3/3 + 101*w**2. Find the third derivative of x(s) wrt s.
240*s**3 - 312*s
Let q(x) = 47*x**2 - 19*x - 9. Let v(s) = -48*s**2 + 18*s + 11. Let w(y) = -6*q(y) - 5*v(y). Find the second derivative of w(g) wrt g.
-84
Let c(g) = -200*g**2 + 7*g - 4. Let a(h) = -400*h**2 + 13*h - 8. Let w(z) = -4*a(z) + 9*c(z). What is the second derivative of w(y) wrt y?
-400
Let f(g) = 810*g**3 + 379*g**2 - 5*g - 4. Let a(x) = -811*x**3 - 380*x**2 + 6*x + 5. Let u(q) = 4*a(q) + 5*f(q). What is the third derivative of u(c) wrt c?
4836
Suppose 0 = -o + 29 - 25. What is the second derivative of -2*d**4 + 15*d - 18*d**4 + 0*d**o wrt d?
-240*d**2
Let u(a) = -2*a**3 + 9*a**2 + 87*a. Let m(h) = -h**3 + 4*h**2 + 43*h. Let r(l) = -9*m(l) + 4*u(l). Find the second derivative of r(q) wrt q.
6*q
Let y(i) = 78*i**2 + 57*i + 6. Let w(r) = r**2 - 2*r + 1. Let j(g) = 6*w(g) - y(g). Find the second derivative of j(d) wrt d.
-144
Suppose 8 = 4*p - 4, -12 = -3*v - 2*p. Find the third derivative of -5*t**4 - 11*t**4 - t**4 - 6*t**4 - 25*t**v wrt t.
-552*t
Let b(q) be the second derivative of -q**7/21 + 7*q**6/15 - 47*q**3/6 + 20*q - 2. What is the second derivative of b(k) wrt k?
-40*k**3 + 168*k**2
Let b(p) = -p**2 + 13. Let n be b(3). Find the second derivative of o - 32*o - n*o**5 + 3*o**5 + 4*o wrt o.
-20*o**3
Let a be (4 - (-9)/(-2))*6. Let k be (1 - a)/4*5. What is the third derivative of -4*f**3 + 7*f**5 - 11*f**k + 4*f**3 + f**2 wrt f?
-240*f**2
Let q(r) = -2*r + 50. Let m be q(8). What is the derivative of -m + 23*k**3 + 24*k - 24*k wrt k?
69*k**2
Let n(q) be the third derivative of 39*q**5/20 - q**4/24 + 232*q**3/3 - q**2 + 48*q. Find the second derivative of n(r) wrt r.
234
Let x(z) = -248*z**2 + 5*z + 282. Let n(v) = -372*v**2 + 8*v + 422. Let h(m) = 5*n(m) - 8*x(m). What is the derivative of h(i) wrt i?
248*i
Let s(i) = -24*i + 44. Let w(a) = -a**2 + 24*a - 45. Let t(y) = -3*s(y) - 2*w(y). Differentiate t(c) wrt c.
4*c + 24
Let x(o) be the first derivative of -8*o**7/7 - 3*o**4/2 - 341*o**3/3 + 4. What is the third derivative of x(h) wrt h?
-960*h**3 - 36
Find the third derivative of 17*v**4 - 80*v**2 + 4*v + 125*v**2 - v**3 - v**3 wrt v.
408*v - 12
Find the first derivative of -57 - 2*x**2 - 7*x**2 - 84 + 231 + 191*x**2 wrt x.
364*x
Let f(i) = -305*i**3 + 5*i**2 + 5*i + 63. Let k(t) = 153*t**3 - 3*t**2 - 3*t - 32. Let x(d) = 3*f(d) + 5*k(d). What is the derivative of x(m) wrt m?
-450*m**2
Let h(m) = 17*m - 9. Let j be (-2)/(-8)*4*4. Let v be h(j). What is the third derivative of 12*f**2 - 5*f**2 + 64*f**3 - v*f**3 wrt f?
30
Let d(v) be the first derivative of 153*v**2/2 + 135*v + 69. Differentiate d(p) wrt p.
153
Find the third derivative of 482*t - 241*t - 385*t**3 - 33*t**2 - 236*t wrt t.
-2310
Let d(b) be the second de | {
"pile_set_name": "DM Mathematics"
} |
*x**2 - 7*x - 4. Let k be (20/(-6))/((-6)/(-9)). Give k*a(b) - 2*s(b).
b**2 - b - 2
Let n(t) = -72*t**2. Let c(f) = -9*f**2. What is -33*c(x) + 4*n(x)?
9*x**2
Let m(a) = a + 1. Let b(p) = 2*p + 1. Suppose -2*c - 15 = 13*c. Give c*b(r) + 4*m(r).
2*r + 3
Let k(r) = 6*r**2 - 4*r + 16. Let y(q) = -2*q**2 + q - 5. Suppose -5 = 2*s + 5*w - 0*w, 2*w = 6. Give s*y(t) - 3*k(t).
2*t**2 + 2*t + 2
Let i(t) = -t**3 + t**2 - 2*t + 17. Let q be i(0). Let f(k) = -14*k - 3. Let s(d) = -5*d - 1. Determine q*s(j) - 6*f(j).
-j + 1
Let m(t) = 10*t**2 + 11*t + 11. Let b(u) be the first derivative of -u**3/3 - u**2/2 - u + 15. Give -44*b(h) - 4*m(h).
4*h**2
Let s(b) = -3*b - 4. Let j(h) = -h**3 + 10*h**2 - 15*h - 4. Let r be j(8). Let x(k) = k + 1. What is r*x(a) + s(a)?
a
Let r(o) = 4*o + 3. Let m(s) = -6*s + 7. Let u(y) = 3*y - 4. Let h(f) = 6*m(f) + 11*u(f). Calculate -3*h(q) - 2*r(q).
q
Let r(i) = 15*i**2 - 6 - 11 + 4 + 9*i. Let p(h) = -7*h**2 - 4*h + 6. Let n = 1 + 1. Let x(j) = n*r(j) + 5*p(j). Let v(s) = s**2 + s - 1. What is -4*v(c) - x(c)?
c**2 - 2*c
Suppose -w = f - 1, 9*f = 7*f + 8. Let y(n) = n. Let a(k) = -k. Let l(t) = -5*t + 1. Let r(c) = a(c) - l(c). Calculate w*y(j) + r(j).
j - 1
Let u(h) = h**2 + h. Let k be 18/(-22) + (-20)/110. Let c(z) = 3*z**2 + 4*z - 1. Calculate k*c(l) + 5*u(l).
2*l**2 + l + 1
Let m(o) be the first derivative of -4*o**3/3 - o**2 - 2*o + 15. Let w(b) = b**2 + b. What is -m(r) - 3*w(r)?
r**2 - r + 2
Let y(x) = x**3 + x + 1. Let z(i) be the second derivative of -3*i**5/10 - i**3 - 2*i**2 + 4*i. What is -5*y(l) - z(l)?
l**3 + l - 1
Let d(j) = -2*j - 8. Let p(y) = -2*y - 8. What is 5*d(r) - 4*p(r)?
-2*r - 8
Let b = -53 - -50. Let r(t) = 7*t**2 + 3*t. Let i(p) = -6*p**2 - 2*p. Calculate b*r(x) - 4*i(x).
3*x**2 - x
Let i(s) = 20*s**2 - 2*s - 6 - 25*s**2 - 2*s. Let k(f) = 4*f**2 + 3*f + 5. What is -3*i(o) - 4*k(o)?
-o**2 - 2
Let t(o) = 5*o + 3. Suppose 2*s - 4 = -0. Let g(r) = 2*r**2 - 4*r + 3. Let v be g(s). Let n(p) = -p - 1. Determine v*n(w) + t(w).
2*w
Let r(h) = -h - 6. Let l(x) be the second derivative of x**3/6 + 7*x**2/2 - 6*x. Calculate -5*l(c) - 6*r(c).
c + 1
Let q(a) = 2*a - 1. Let r(c) = -c + 5. Suppose -4*u = 11 + 13. Let x be r(u). Let p(z) = -6*z + 3. Determine x*q(i) + 4*p(i).
-2*i + 1
Let c(w) = -9*w**3 - 13*w - 2. Let d(q) = 8*q**3 - 4*q - 15*q**3 + 11*q**3 + 1 + 10*q. What is 6*c(g) + 13*d(g)?
-2*g**3 + 1
Let l(q) = 6*q - 122. Let z(i) = -2*i + 41. Determine 3*l(r) + 8*z(r).
2*r - 38
Let m(q) = q**3 + 5*q**2 - 7*q - 7. Let f be m(-6). Let j(h) = h. Let p(d) be the first derivative of -d**4/2 + d**2/2 - d - 1. Determine f*p(v) + 3*j(v).
2*v**3 + 2*v + 1
Let x(m) = -23*m**2 + 5*m - 1. Let j(g) = -47*g**2 + 11*g - 2. Give 2*j(z) - 5*x(z).
21*z**2 - 3*z + 1
Let j(c) = 31*c + 271. Let m be j(-9). Let w(s) = -1. Let b(h) = -11*h**2 + 7. Let u(q) = b(q) + 2*w(q). Let i(x) = -17*x**2 + 8. Determine m*u(r) + 5*i(r).
3*r**2
Let f(m) = -19*m**2 + 4*m - 5. Let o(p) = 56*p**2 - 11*p + 14. Calculate 17*f(k) + 6*o(k).
13*k**2 + 2*k - 1
Let b(d) = -d**3 - 3*d**2 - 5*d - 3. Let r(j) = -3*j**3 - 8*j**2 - 14*j - 8. Let n = 103 + -111. Let l(v) = 3*v. Let f be l(1). Give f*r(c) + n*b(c).
-c**3 - 2*c
Let p(m) = -m**3 + 2*m**2 - m + 2. Let n = -13 + 10. Let r(x) = 2*x**3 - 3*x**2 - 3. Give n*p(w) - 2*r(w).
-w**3 + 3*w
Let c(z) = 2 + z - z**2 - 2. Let x(s) = -5*s**2 + 3*s - 1. Let w(y) = 10*y**2 - 5*y + 3. Let m(i) = 2*w(i) + 5*x(i). Calculate -4*c(v) + m(v).
-v**2 + v + 1
Let s(n) = 2*n**3 - 11*n**2 - 1. Let f(m) = -1. Give 2*f(g) - s(g).
-2*g**3 + 11*g**2 - 1
Let m(f) = -6*f**3 - 14*f - 14. Let a(h) = -2*h + 1. Let x be a(2). Let y = 2 - x. Let c(d) = -2*d**3 - 5*d - 5. What is y*m(t) - 14*c(t)?
-2*t**3
Suppose 2 = t + b, -3*b + 6 = -6*b. Let d be t/2 + (4 - 1). Let y(i) = 9*i**2 - 5*i. Let r(g) = -22*g**2 + 12*g. Calculate d*r(w) + 12*y(w).
-2*w**2
Let z(k) = 3*k**2. Suppose -w = 4*w - 10. Let a(u) = -4*u**2 + u + 1. Determine w*a(h) + 3*z(h).
h**2 + 2*h + 2
Let z(x) = 45*x**3 + 6*x**2 - 6. Let v(a) = -89*a**3 - 13*a**2 + 13. Determine 6*v(b) + 13*z(b).
51*b**3
Let p(q) = 4*q - 9. Let i(m) = m. Give 3*i(r) - p(r).
-r + 9
Let b(u) = -1072*u**2 + 112*u - 112. Let s(n) = -29*n**2 + 3*n - 3. What is 3*b(z) - 112*s(z)?
32*z**2
Let i(d) = -d**3 - 3*d - 3. Let p be 4*(3 - (-30)/(-8)). Let j(z) = 2*z**3 + 8*z + 8. Let q = 7 - 1. Suppose -h - q = 2. What is h*i(v) + p*j(v)?
2*v**3
Let q(r) = -r**2 - 3*r + 1. Let n be q(-6). Let d(y) = y + 7*y + 3 - y + 3. Let x(z) = 20*z + 17. Calculate n*d(k) + 6*x(k).
k
Let v(x) = x. Let d(m) = m**2 + 5*m + 5. Let i be d(-4). Let h = 12 - i. Suppose 9 + h = 4*a. Let u(g) = -g. Give a*u(f) + 3*v(f).
-2*f
Let d(c) = -2*c + 5. Let w(h) = 0 + 4 - h - h. Suppose 4*o + 5 = -3. Suppose 0 = 5*l - 18 + 3. Give l*w(u) + o*d(u).
-2*u + 2
Suppose 3*t - 2*v + 4 = 0, -2*v - 8 = -0*v. Let h(f) = 4*f**3. Let m(u) = 4*u**3. Calculate t*h(c) + 5*m(c).
4*c**3
Let p(y) = -y**3 - y**2. Let o be 3 + (-5)/((-10)/(-22)). Let i = -7 - o. Let l(k) = k**2 + 2. Calculate i*l(d) + p(d).
-d**3 + 2
Let w(s) = -59*s**2 - 11*s - 11. Let l(x) = -12*x**2 - 2*x - 2. Determine -11*l(r) + 2*w(r).
14*r**2
Let r(a) = -10*a - 4. Let l(f) = -30*f - 11. Let c(b) = 4*l(b) - 11*r(b). Let k = 4 - 2. Let i(u) = 2*u. Let m = 14 + -3. Give k*c(p) + m*i(p).
2*p
Let q(t) = -t - 1. Let h(c) = 17*c + 6. Determine h(o) + 6*q(o).
11*o
Let a(z) = -z - 1. Let r(n) = -2*n**2 + 5*n + 6. What is 15*a(p) + 3*r(p)?
-6*p**2 + 3
Let z(i) be the third derivative of -i**4/24 + 3*i**2. Let b = -5 - -6. Let s(w) = 1 - w - 1. Determine b*z(r) + s(r).
-2*r
Let i(r) = -9*r**3 - 9*r**2 + 9*r. Let w(q) = 13*q**3 + 13*q**2 - 13*q. Suppose c - 18 = 2*l, -4*l + 5 = -7*l - 4*c. Calculate l*i(v) - 5*w(v).
-2*v**3 - 2*v**2 + 2*v
Suppose 4*q - 2*r - 7 = 19, 3*q + r = 17. Let p(g) = 1. Let n(k) = 65*k**2 - 6 - 33*k**2 - 30*k**2. What is q*p(b) + n(b)?
2*b**2
Let z(u) = -u**2. Let k(r) = -5*r**2 - r**2 + 2*r**2. What is -2*k(t) + 7*z(t)?
t**2
Let q(o) = 14*o**3 - 8*o**2 - 2. Let a(i) = 5*i**3 - 3*i**2 - 1. Suppose -b - 5*t + 5 = 23, 0 = -3*b + 2*t - 3. Determine b*q(n) + 8*a(n).
-2*n**3 - 2
Let b be (-1)/(1 + (-7)/6). Let c(d) = b*d + 0*d - d + 1. Let j(u) = 9*u + 1. Suppose -2*a = -7*a - 15. Determine a*j(i) + 5*c(i).
-2*i + 2
Let a be -4*(-2)/8*1. Let t(r) be the second derivative of -3*r + 1/2*r**2 + 0. Let d(x) = -2*x + 3. Determine a*d(s) - t(s).
-2*s + 2
Let j(t) = -10*t**2 - 7*t - 7. Let q(c) = -9*c**2 - 6*c - 6. Let m(g) = g**2 - 10*g + 2. Let k be m(9). Calculate k*q(o) + 6*j(o).
3*o**2
Let j(n) = -3*n**3 - 2*n**2 + 8*n - 2. Let t(i) = 13*i**3 + 9*i**2 - 33*i + 9. Give -9*j(v) - 2*t(v).
v**3 - 6*v
Let x be (-10)/14 + 14/(-49). Let f(k) = k**2 - 2. Let n be (-6 - -6) + -2*1. Let a(s) = -s**2 + 1. Give n*a(g) + x*f(g).
g**2
Let b(p) = -p**2 - 2*p + 2. Let r(a) = -a**2 + 15 - a**3 + 10 - a - 24. What is b(u) - 2*r(u)?
2*u**3 + u**2
Let x(t) = 4*t + 3. Let r(a) = -5*a - 3. Calculate 6*r(b) + 7*x(b).
-2*b + 3
Let o(s) = -s**3 + 1. Let b(n) be the first derivative of 5*n**4/4 - 8*n + 5. Determine b(h) + 6*o(h).
-h**3 - 2
Let c(y) = 119*y**3 + 8*y**2. Let p(w) = 40*w**3 + 3*w**2. What is 3*c(z) - 8*p(z)?
37*z**3
Let j(m) be the third derivative of m**6/15 - m**5/12 + 5*m**4/24 - 21*m**2. Let z(c) = 39*c**3 - 24*c**2 + 24*c. What is -24*j(t) + 5*z(t)?
3*t**3
Let a(j) = -312*j**2 - 143. Let z(y) = 13*y**2 + 6. Calculate 6*a(x) + 143*z(x).
-13*x**2
Let g(l) = 16*l**2 + 2*l - 2. Let m(k) = -273*k**2 - 35*k + 35. Give -35*g(u) - 2*m(u).
-14*u**2
Let t(d) = 4*d**2 - 2*d. Let p(a) = -3*a**2 + 2*a. Suppose 0 = -2*w + 4*w - 4. What is w*t(j) + 3*p(j)?
-j**2 + 2*j
Let m(x) = -2*x**2 - 4*x + 3. Let v(o) = -2*o**2 - 4*o + 4. Let y(t) = -t - 8. Let j be y(-11). What is j*v(r) - 4*m(r)?
2*r**2 + 4*r
Let g be (-2)/7 + (-74)/(-14). Let w(n) = -n**2. Let v(b) be the third derivative of -b**6/60 + b**5/12 - b**4/24 + 4*b**2. Give g*w(c) + v(c).
-2*c**3 - c
Let j(t) = -3*t**2 - 5*t + 5. Suppose -3*r = 2*r + 15. Let x(v) = -2*v**2 - 3*v + 3. What is r*j(s) + 5*x(s)?
-s**2
Let y(d) = -11*d - 1. Let p(w) = -45*w - 5. Determine 2*p(a) - 9*y(a).
9*a - 1
Let y(z) = z**3 + z - 1. Let p(n) = -n**2 + 3*n - 3. Calculate -p(l) + 3*y(l).
3*l**3 + l**2
Let k(r) = 2*r + 4. Let i(b) = 3*b + 5. Let m = 6 - 10. Let l | {
"pile_set_name": "DM Mathematics"
} |
ify ((((f**38/f)/(f*f**(-12)))**(-17/4))**(-9))**(4/5) assuming f is positive.
f**(7344/5)
Simplify (c**4)**(1/17)*(c**1)**(2/7) assuming c is positive.
c**(62/119)
Simplify i**(-1)/i**(5/4)*(i/(i*i*i**(-1)*i))**44*(i/i**(-3/7))/i*i**(-3)*i**9*i/i**(-1/2) assuming i is positive.
i**(-1073/28)
Simplify h**(-1/3)/h*h**(-1)*(h**(-1/4)/h)**(-2/3)*((h*h**(2/3))**(2/151))**(-50) assuming h is positive.
h**(-2359/906)
Simplify ((x/x**(8/7)*x*x**(-2))/(x*x*x/x**(-2))**(-10/13))/((x**(1/4))**(-7/10))**4 assuming x is positive.
x**(3097/910)
Simplify ((f**3/f)**(-2/3)/((((f**(-8)*f)/f)/f)/f**(-17)))**(-38) assuming f is positive.
f**(1064/3)
Simplify (n/n**(4/3)*n)/(n**(-6)/n)*(n**(-1/2)/n)**28*(n**(2/13)*n/((n/(n*n/(n*n**1/n))*n)/n))**(-10) assuming n is positive.
n**(-1789/39)
Simplify (((t/((t/(t/(t*t**(1/4))))/t))/t)**(1/66)/(t*t**1)**(-4))/((t/t**(-2/23))/t*t**1)**(-5/8) assuming t is positive.
t**(26339/3036)
Simplify (((g**(-3/5)*g*g)**6)**(-5/3))**(6/7) assuming g is positive.
g**(-12)
Simplify (w/(w**6/w)*w*w**1*w**(-3/7)/((w/((((w*w**(-2/11))/w)/w)/w))/w))/(w**(-4)/(w/w**(2/15)))**(1/10) assuming w is positive.
w**(-47629/11550)
Simplify ((y**6/y**(-2/5))/(y*(y/((y**(1/3)*y)/y))/y)**25)/(((y*y/y**0)/y)/(y/(y**(-1/2)/y)*y)*(y*y/((y/y**6)/y))/(y**(-7)/y)) assuming y is positive.
y**(-713/30)
Simplify ((g/((g/(g*g/g**(-38)))/g)*g*g)/(g**(-6/17)/g)*g**(-38)/g**(-2/81))**(-48) assuming g is positive.
g**(-140512/459)
Simplify ((g/((g**(1/3)*g)/g)*g)**(-1/3)*g/g**(5/3)*g**2)/(((g*g**(-1/4))/g*g)**(2/3)*g/(g*g/g**(-7))*(g/(g*g/(g*g**8)))/g) assuming g is positive.
g**(23/18)
Simplify ((v**(-3/10)*v)/(v*v**(-1)))**39/((v/v**(-1/6)*v**3)/(((v*v**6/v)/v)/(((v**1/v)/v)/v))) assuming v is positive.
v**(452/15)
Simplify ((((t/t**(2/55))/(((t**(-23)/t*t)/t)/t))**(1/3))**7)**47 assuming t is positive.
t**(156604/55)
Simplify ((x**(19/4)/x)**(-2/63)/((x/(x/(x*x**(12/11))))/x)**(1/8))**(-7/6) assuming x is positive.
x**(59/198)
Simplify ((p**(-1/3)/p)**(-3)/((p*p**(-9)*p)/p*p**(-1/4)/p))/((((p**(-6)/p*p)/p)/p)/(p**11*p*p))**(1/56) assuming p is positive.
p**(109/8)
Simplify (t**3/t*t**(-1/5)/t*(t*t**(-1))**8)/(t/t**5*t**6)**(-20) assuming t is positive.
t**(204/5)
Simplify (v/(v/v**(-2/7))*v)**(-9)/(v/(v/((v/(v*v**2)*v)/v))*v/((v/v**2)/v))*(v**(2/9)/v**2)/(v**0*v)**(-32) assuming v is positive.
v**(1436/63)
Simplify (b**(-7))**(18/11)/((b**(2/7)*b)/b*b**6) assuming b is positive.
b**(-1366/77)
Simplify (((n**(-5/7)/n)/(n/n**24*n*n))/(n**(-6/7)/((n/n**(-1/18))/n)))**(-13) assuming n is positive.
n**(-33085/126)
Simplify (w**(2/9))**(-11)/(w*w**(-2))**(-29)*(w**(-1))**(-16/5)/(w*w*w**(1/2)*w**(-6/7)) assuming w is positive.
w**(-18829/630)
Simplify ((n**6)**(-19/5)*n*n**(-1)*(n/((n*n/(n*n**(1/2)*n))/n))/n)**(-1/4) assuming n is positive.
n**(213/40)
Simplify (w**4/w**(2/9))/(((w**(-7)*w)/w)/(w*w**(3/11)*w))*((w**2*w)**(17/2))**(-40) assuming w is positive.
w**(-99688/99)
Simplify (r/(r/r**1*r))/r**6*r**(-4)*(r*(r/((r*(r/r**(1/8))/r*r)/r))/r*r)/r*(r**5*r/r**(2/11))/(r**1)**(2/11) assuming r is positive.
r**(-373/88)
Simplify (((m/m**(-3))/m*m)/((((m**3/m)/m)/m)/m))**(-1/3)/(((m*m**(-1)/m*m)/m)**(2/23)*(m*m*m**2*m)/(m/m**(-3/4))) assuming m is positive.
m**(-1333/276)
Simplify ((w*w**(1/3))**(-23))**41/(w/(w/(w/w**5)*w)*w**(-2/5)/w*(w*w**1*w*w)/w*w/(w*((w/((w*w**(-3)*w)/w))/w*w)/w)) assuming w is positive.
w**(-18779/15)
Simplify n**(-3)*n*n/n**(-5)*(n**0*n)**(4/23)*(n**(1/4))**6/(n**(2/5))**11 assuming n is positive.
n**(293/230)
Simplify ((z**(-1/2)*z)**(1/32)/(z**3*z)**(-2/81))**(-1/6) assuming z is positive.
z**(-593/31104)
Simplify ((v**(-4))**(2/39)*v**5*v*v*(v*v**30)/v)**(-10) assuming v is positive.
v**(-14350/39)
Simplify ((k*k/(k/(k*k/(k/k**(1/3)*k*k))))**(-12/11))**(6/7)/((k*k**(-2/7))/(k**6*k)*(k*k**5)/k*k**(-4/7)/k) assuming k is positive.
k**(28/11)
Simplify ((h**(-2/5)/(((h/(h/h**(-4)))/h)/h))/(h/(h*h**1/h)*h/(h*h**(-1/5)*h)))/((h/(h/h**(2/23)))/h**6*(h/(h*h**1))**(2/83)) assuming h is positive.
h**(117758/9545)
Simplify ((k**0/k)**49)**(-8/7)*(k**3/(k**(-13)/k))**14 assuming k is positive.
k**294
Simplify ((t*t**(-2)/t*t*t)**25)**(-30)/((t**(-1/3)*t)**(1/38)*t*t*(t**(1/6)/t)/t*t*t**(-3)) assuming t is positive.
t**(69/38)
Simplify ((s/(s*s**1*s)*s/(s**(-2/5)*s*s))/(s**(2/3))**15)/(((s/s**4)/s**0)/(s**(-1/4)*s/(s*s**(-6)))) assuming s is positive.
s**(-77/20)
Simplify ((g*g/(g/((g*g/g**(1/4)*g*g)/g*g)))**(-44))**(-44)/((g/(g/g**(2/5))*g)**43)**(2/39) assuming g is positive.
g**(1792618/195)
Simplify (v**(-10/7)*v*(v/v**(-3))/v)/((v**(-37)*v)/v*v**(-9/8)) assuming v is positive.
v**(2279/56)
Simplify ((f*f/f**9)/(f/f**(-19))*(f*f/(f*f**36))/f*f*f**(-30)/f)**(1/12) assuming f is positive.
f**(-31/4)
Simplify (n**(2/7))**(3/7)*(n/(n**(-9)/n))/n*n**8/n*(n*n*(n**1/n)/n)**7/(n*n**(1/2)*n/((n/n**(1/3))/n)*n) assuming n is positive.
n**(5965/294)
Simplify (q**(5/13)*q**0*((q/(q*(((q/q**(36/7))/q)/q)/q))/q)/(q*q**(-16)))**(17/3) assuming q is positive.
q**(11101/91)
Simplify (((u**(2/11))**33*u/u**(1/5)*u**(-6)/u)**(-11))**(-5) assuming u is positive.
u**(-11)
Simplify (f*f*f**(4/3)*f**(-3))**(2/3)/((f*f/f**(1/4))**0/(f**0)**(1/33)) assuming f is positive.
f**(2/9)
Simplify ((h/h**(-34)*h**(-1/4))**(-6/25))**(-2/93) assuming h is positive.
h**(139/775)
Simplify (((x/x**(-11))/(x*((x/(x/(x/(x/(x**(-11)*x)))))/x)/x))/(((x*x**1)/x*x*x)/x)**3)**16 assuming x is positive.
x**272
Simplify ((i*i**3)/i*i*i/((i/i**(-4/11))/i))**10*((i*i/(i/(i**2*i*i*i*i))*i*i)/i*i/((i/(i**9*i*i))/i))**(-7/8) assuming i is positive.
i**(635/22)
Simplify (((a**(2/13)/a)/(a*a/(a**12/a)*a))/(a**(-2)/a)**(18/7))**(9/7) assuming a is positive.
a**(12177/637)
Simplify ((x/((x**2/x)/x))/(x**(8/5)*x*x))/((x/(((x**(-8)/x)/x)/x))/(x*x**(-3/7)*x))*(x**7/(x/x**(-3/7)))**28 assuming x is positive.
x**(5004/35)
Simplify (k**(-1/4))**36/((k*k**39)/k*k*k*k*k**30) assuming k is positive.
k**(-81)
Simplify y/y**1*y*(y/(y**(2/17)/y*y))/y*y*(y**(-2/19)*y)/y*y/y**(1/7)*y**0*y*y*y**(-6)*y*((y*y/(y**8/y))/y)/(y/(y*y*y/(y**(2/15)*y)*y)) assuming y is positive.
y**(-152587/33915)
Simplify ((h*h/(h/((h**(-30)*h)/h))*h)/h)/h**(-5/3)*(h*h*h**(8/11))/((h*h*h/(h**29*h)*h*h)/h) assuming h is positive.
h**(46/33)
Simplify ((j**(-1/60)/j**(-1))/(j/j**(-16/7)*(j*(j/j**(-15)*j)/j)/j))**(9/2) assuming j is positive.
j**(-23061/280)
Simplify ((i**9)**46/((i*i**20)/(i/i**4*i)))**(-11) assuming i is positive.
i**(-4301)
Simplify (z**(-1/4)*z**(-1)*z**(-2)/(z*z*z*z**(-8)*z*z))/(((((z/z**(1/3))/z)/z*z)/z)/(z/(z/z**(-1/7))))**(1/61) assuming z is positive.
z**(-1181/5124)
Simplify (h**(-3)*h**7/h)/((h**(-2)/h)/h)**27*((((h*h**(2/7))/h*h)/h*h)/h*h**6)/(h**2)**(-11/8) assuming h is positive.
h**(3361/28)
Simplify ((v/v**(-2/5))**(32/5)/(v*v**1)**15)/(v**5/(v**(-7/2)*v)*v**4/v*v*v*v**3) assuming v is positive.
v**(-1827/50)
Simplify ((((w/(w/w**(-2)))/w)/w)**(-2/19)*(w/(w/(w**2*w)))**(1/58))/((w*w**3*w)/(w*w**(8/7)/w))**(-7/9) assuming w is positive.
w**(3827/1102)
Simplify ((b**(-2/3)*b*b*b*b)/b**(-8)*(((b*b**(-9))/b)/b)/b**3)/(((((b*b/(b/b**(-11)))/b)/b)/b)/(b*b*b/((b/(b*b**10*b))/b)*b))**37 assuming b is positive.
b**(3214/3)
Simplify (x**11/x**(1/19))/(x*x*x**1*x**3) assuming x is positive.
x**(94/19)
Simplify ((z*z*z**1)**(-29))**(-19/5)/((z**2/z*z)/(z*z**5*z))**(9/7) assuming z is positive.
z**(11796/35)
Simplify ((((p/(p*p**(-2)))**(2/11))**(-2/61))**(3/2))**(13/2) assuming p is positive.
p**(-78/671)
Simplify (((o*o**11)**(6/13))**31)**29 assuming o is positive.
o**(64728/13)
Simplify (a**0*a**(2/23)/a*a*(a**(-1)*a)**(-27/7))/((a**(-1/3))**45*(a**(-1)*a)**(1/10)) assuming a is positive.
a**(347/23)
Simplify o/(o**(-7)*o)*o**(-7)*(o**(-1/4))**(9/11)*(o**4/(o*o*(o/o**4*o)/o))/(o**7/(o/(o*o*o**(-6)*o))) assuming o is positive.
o**(79/44)
Simplify ((x/(x/(x/x**20)))**(7/5)*(x*x**35)**(-17))**7 assuming x is positive.
x**(-22351/5)
Simplify (n*(n*n**0)/n)**(-5/3)/(n**(-1)/n*n*n*n*n**(-7))*((n*n**(-7)/n)/(n*n**(-7)))/((n**6*n)/((n*(n*(n*n**5*n*n)/n*n)/n)/n)) assuming n is positive.
n**(13/3)
Simplify (((x/(x/(x/x**(2/103)*x)*x)*x**(-46)*x)**24)**(-1/6))**(2/51) assuming x is positive.
x**(36272/5253)
Simplify ((c*c*c*c**(-3/7)/c)**(-2))**(14/3)*c*c**3*c**(-4)*c*c**(3/4)/c**(1/8) assuming c is positive.
c**(-313/24)
Simpli | {
"pile_set_name": "DM Mathematics"
} |
er?
8
What is 280132 to the power of 1/3, to the nearest integer?
65
What is 695905 to the power of 1/9, to the nearest integer?
4
What is 8792004 to the power of 1/2, to the nearest integer?
2965
What is 1123848 to the power of 1/2, to the nearest integer?
1060
What is the tenth root of 10188944 to the nearest integer?
5
What is the fifth root of 558467 to the nearest integer?
14
What is the square root of 111328 to the nearest integer?
334
What is the square root of 310505 to the nearest integer?
557
What is 6105389 to the power of 1/2, to the nearest integer?
2471
What is the square root of 1221946 to the nearest integer?
1105
What is the sixth root of 847884 to the nearest integer?
10
What is 347243 to the power of 1/3, to the nearest integer?
70
What is 5256391 to the power of 1/8, to the nearest integer?
7
What is the cube root of 142897 to the nearest integer?
52
What is 5723470 to the power of 1/2, to the nearest integer?
2392
What is the fifth root of 7081579 to the nearest integer?
23
What is 214681 to the power of 1/8, to the nearest integer?
5
What is 1709346 to the power of 1/3, to the nearest integer?
120
What is 8744931 to the power of 1/4, to the nearest integer?
54
What is 10625369 to the power of 1/3, to the nearest integer?
220
What is the fifth root of 8053817 to the nearest integer?
24
What is the fifth root of 9052853 to the nearest integer?
25
What is 357921 to the power of 1/8, to the nearest integer?
5
What is the square root of 6207923 to the nearest integer?
2492
What is the cube root of 33063891 to the nearest integer?
321
What is the sixth root of 711610 to the nearest integer?
9
What is the tenth root of 2756537 to the nearest integer?
4
What is 3363895 to the power of 1/2, to the nearest integer?
1834
What is the square root of 5175404 to the nearest integer?
2275
What is the fifth root of 3349503 to the nearest integer?
20
What is 435243 to the power of 1/6, to the nearest integer?
9
What is 11482975 to the power of 1/2, to the nearest integer?
3389
What is 22723382 to the power of 1/4, to the nearest integer?
69
What is the third root of 396307 to the nearest integer?
73
What is 1986874 to the power of 1/5, to the nearest integer?
18
What is 3439341 to the power of 1/9, to the nearest integer?
5
What is the square root of 1638054 to the nearest integer?
1280
What is the cube root of 346855 to the nearest integer?
70
What is the sixth root of 333945 to the nearest integer?
8
What is 184852 to the power of 1/2, to the nearest integer?
430
What is 30700 to the power of 1/3, to the nearest integer?
31
What is the square root of 864296 to the nearest integer?
930
What is 89916 to the power of 1/2, to the nearest integer?
300
What is the fourth root of 7093081 to the nearest integer?
52
What is the third root of 11848423 to the nearest integer?
228
What is the cube root of 271484 to the nearest integer?
65
What is 150177 to the power of 1/3, to the nearest integer?
53
What is 118860 to the power of 1/2, to the nearest integer?
345
What is the ninth root of 34819277 to the nearest integer?
7
What is 15569765 to the power of 1/3, to the nearest integer?
250
What is 6498670 to the power of 1/3, to the nearest integer?
187
What is the cube root of 654666 to the nearest integer?
87
What is the eighth root of 2130729 to the nearest integer?
6
What is the cube root of 186017 to the nearest integer?
57
What is the square root of 1354892 to the nearest integer?
1164
What is the fifth root of 32358 to the nearest integer?
8
What is the cube root of 4094942 to the nearest integer?
160
What is 755094 to the power of 1/3, to the nearest integer?
91
What is 71661 to the power of 1/3, to the nearest integer?
42
What is the sixth root of 339021 to the nearest integer?
8
What is the ninth root of 2173289 to the nearest integer?
5
What is the eighth root of 2178097 to the nearest integer?
6
What is the tenth root of 302270 to the nearest integer?
4
What is 21968273 to the power of 1/2, to the nearest integer?
4687
What is the third root of 142025 to the nearest integer?
52
What is 180515 to the power of 1/2, to the nearest integer?
425
What is 22754 to the power of 1/5, to the nearest integer?
7
What is the fourth root of 116972 to the nearest integer?
18
What is 811912 to the power of 1/7, to the nearest integer?
7
What is the sixth root of 1055990 to the nearest integer?
10
What is the square root of 10986733 to the nearest integer?
3315
What is 157511 to the power of 1/3, to the nearest integer?
54
What is 5041355 to the power of 1/9, to the nearest integer?
6
What is the third root of 9905498 to the nearest integer?
215
What is the sixth root of 742064 to the nearest integer?
10
What is the square root of 213550 to the nearest integer?
462
What is the cube root of 3233563 to the nearest integer?
148
What is 435978 to the power of 1/8, to the nearest integer?
5
What is the fourth root of 63181 to the nearest integer?
16
What is the third root of 32572003 to the nearest integer?
319
What is 1048020 to the power of 1/4, to the nearest integer?
32
What is the fifth root of 6437 to the nearest integer?
6
What is the ninth root of 443810 to the nearest integer?
4
What is the third root of 10755539 to the nearest integer?
221
What is 26517942 to the power of 1/3, to the nearest integer?
298
What is the square root of 668813 to the nearest integer?
818
What is the fifth root of 723832 to the nearest integer?
15
What is 246100 to the power of 1/2, to the nearest integer?
496
What is the seventh root of 212629 to the nearest integer?
6
What is 2914834 to the power of 1/3, to the nearest integer?
143
What is 165515 to the power of 1/10, to the nearest integer?
3
What is the cube root of 2871411 to the nearest integer?
142
What is the square root of 1165640 to the nearest integer?
1080
What is 1840695 to the power of 1/3, to the nearest integer?
123
What is 1195633 to the power of 1/3, to the nearest integer?
106
What is the third root of 790375 to the nearest integer?
92
What is 3252307 to the power of 1/2, to the nearest integer?
1803
What is the sixth root of 28477550 to the nearest integer?
17
What is the third root of 1107134 to the nearest integer?
103
What is the tenth root of 33128 to the nearest integer?
3
What is 1297782 to the power of 1/8, to the nearest integer?
6
What is 865419 to the power of 1/7, to the nearest integer?
7
What is the square root of 125065 to the nearest integer?
354
What is 4007422 to the power of 1/2, to the nearest integer?
2002
What is 231928 to the power of 1/5, to the nearest integer?
12
What is the eighth root of 707481 to the nearest integer?
5
What is the third root of 105070 to the nearest integer?
47
What is the tenth root of 9479992 to the nearest integer?
5
What is the third root of 387304 to the nearest integer?
73
What is the sixth root of 619440 to the nearest integer?
9
What is the third root of 15316628 to the nearest integer?
248
What is 3557 to the power of 1/2, to the nearest integer?
60
What is 7679962 to the power of 1/2, to the nearest integer?
2771
What is the third root of 1893459 to the nearest integer?
124
What is 37008239 to the power of 1/2, to the nearest integer?
6083
What is the fifth root of 253832 to the nearest integer?
12
What is 3378781 to the power of 1/9, to the nearest integer?
5
What is the square root of 302725 to the nearest integer?
550
What is the square root of 185848 to the nearest integer?
431
What is 2236772 to the power of 1/3, to the nearest integer?
131
What is the square root of 3287113 to the nearest integer?
1813
What is the seventh root of 162733 to the nearest integer?
6
What is the sixth root of 1054170 to the nearest integer?
10
What is the eighth root of 97474 to the nearest integer?
4
What is the square root of 208109 to the nearest integer?
456
What is 375169 to the power of 1/2, to the nearest integer?
613
What is the seventh root of 130480 to the nearest integer?
5
What is 33153 to the power of 1/3, to the nearest integer?
32
What is the seventh root of 307335 to the nearest integer?
6
What is the fifth root of 993688 to the nearest integer?
16
What is 26506527 to the power of 1/8, to the nearest integer?
8
What is 204480 to the power of 1/9, | {
"pile_set_name": "DM Mathematics"
} |
at is the product of -55.625 and -791?
43999.375
What is the product of -1 and -35.34011?
35.34011
-4771811.1 * 3
-14315433.3
72249 * 27
1950723
Calculate -4.44718*-0.844.
3.75341992
Multiply 249386 and -35.
-8728510
What is -0.068 times -3.7832?
0.2572576
Multiply -1506 and -237660.
357915960
-3547*0.223
-790.981
Product of -19.604 and -505.
9900.02
Multiply -0.05 and -27277656.
1363882.8
872053 * 106.4
92786439.2
What is 8684268 times 0.8?
6947414.4
Multiply -1.398 and 2.906.
-4.062588
5758.897 times 0.34
1958.02498
What is the product of 0.027 and -572.265?
-15.451155
Multiply 0.02 and 20688404.
413768.08
What is the product of -66 and -0.04054?
2.67564
Multiply 27 and -5510347.
-148779369
-134883.8 * 4.1
-553023.58
Product of 0.00801 and 0.70775.
0.0056690775
Product of 59469 and -2640.
-156998160
Product of 133445 and -14.
-1868230
-4 * 8934586
-35738344
Work out 3924167 * 0.047.
184435.849
Product of 605.25035 and 0.
0
-0.336 * 0.235432
-0.079105152
0.3*1.2486
0.37458
What is -247 times 45685?
-11284195
-0.02179 times -278.6
6.070694
Calculate -3.74709146*-0.1.
0.374709146
47.98307 times 0.83
39.8259481
-0.13 times -28860230
3751829.9
48 times -2.2074
-105.9552
Work out 0.19987443 * -2.
-0.39974886
-134190.55 times -4
536762.2
Product of -142946 and -127.
18154142
What is the product of 62517 and -20.5?
-1281598.5
What is 30688.8 times -0.44?
-13503.072
Calculate -0.3*-0.078403563.
0.0235210689
What is the product of -0.3 and 5944.485?
-1783.3455
Calculate -1428820*268.
-382923760
What is the product of 225.9 and -1253?
-283052.7
462900 times 0.0322
14905.38
What is the product of -416.481 and 0.487?
-202.826247
Work out 7481735 * 0.34.
2543789.9
0.86156 times -183
-157.66548
-0.27 times -2.90794
0.7851438
500435994 times 0.5
250217997
Calculate -4*255.5571.
-1022.2284
0.1591*-13975
-2223.4225
Work out 4127 * 578.
2385406
0.06 * 121123.6
7267.416
Calculate 2077035*-2.11.
-4382543.85
Calculate 12552358*0.3.
3765707.4
Work out -0.22 * -227276.
50000.72
Work out -878.08 * 47.
-41269.76
What is 5725400 times -5?
-28627000
What is -18859 times -0.1601?
3019.3259
Work out -2 * 47.01747.
-94.03494
Product of -2177506 and -32.
69680192
Multiply -7 and -1830456.
12813192
Product of 3 and -14664.968.
-43994.904
What is 0.5 times -80065?
-40032.5
Multiply -83280.2 and -1.4.
116592.28
What is the product of -2701.043 and 19?
-51319.817
14*156231
2187234
What is the product of 5319 and -1.12888?
-6004.51272
What is the product of -0.06 and -611522?
36691.32
-367.934 * -896
329668.864
Multiply 4125.55 and 27.6.
113865.18
-0.049*1051285
-51512.965
What is the product of -4.56594 and -0.41?
1.8720354
Work out -23257299 * 0.21.
-4884032.79
Multiply 5 and 10729117.
53645585
Work out 0.46 * -8987.54.
-4134.2684
Calculate 0*-3843635.
0
-1.9325 times 0.4407
-0.85165275
-132802600*-3
398407800
-0.135 * -52461.6
7082.316
Multiply 0.2 and 2945188.
589037.6
Calculate -0.27398888*-5.
1.3699444
Product of -1017 and 19080.
-19404360
Calculate -0.03923*107431.
-4214.51813
Work out -0.5 * -97810.9.
48905.45
2.163 * -39569
-85587.747
Work out 49 * -253919.
-12442031
3 * -7957182
-23871546
What is the product of 4931.67 and 928?
4576589.76
What is 42720 times -2?
-85440
34.4682 * -4
-137.8728
Product of 1288053 and -6.
-7728318
What is the product of 5577207 and 5?
27886035
What is -115048.349 times -0.3?
34514.5047
Product of 2084.3301 and -3.
-6252.9903
-109 times -569478
62073102
Work out 1027.315 * 7.
7191.205
-1709*-122
208498
Work out 3 * -5600863.
-16802589
Multiply 2136 and -62.56.
-133628.16
893732.2 times 1
893732.2
-5558153 times -0.6
3334891.8
Product of -1348465 and 7.
-9439255
-8.0949*-3850
31165.365
What is the product of -6.01 and 8845?
-53158.45
What is -135994.8 times -4?
543979.2
Product of -4 and 65978.15.
-263912.6
-7857086*-1
7857086
What is 984609.3 times -0.31?
-305228.883
What is the product of 0.124146944 and 2?
0.248293888
What is -0.032 times 2588313?
-82826.016
What is the product of -0.4151473 and 0.1?
-0.04151473
26.569 times 23
611.087
-5*-11412318
57061590
-3*-3991041
11973123
What is 201155898 times -3?
-603467694
-1*11247303
-11247303
What is -64403414 times 0?
0
Multiply 45 and 12.90931.
580.91895
Multiply -24392 and 111.
-2707512
What is 0.633 times -1.37917?
-0.87301461
Product of -0.578 and -27561.
15930.258
What is the product of 2091994 and 76?
158991544
What is 1062465 times 7?
7437255
-462.1 times -20567.2
9504103.12
0.0379*-103.596
-3.9262884
-545938.34 * 0
0
-10.65*0.286246
-3.0485199
Work out -42496202 * 0.1.
-4249620.2
Calculate -0.315966*-49.
15.482334
Product of 0.7 and -291551.
-204085.7
Product of 358 and 969.13.
346948.54
Product of -7.31 and 8480.
-61988.8
-2.9 * 256.518
-743.9022
Calculate -98171849*-7.
687202943
-57 times -0.92068
52.47876
What is the product of -10.2 and 3879451?
-39570400.2
25110*1245
31261950
339608 times 0.16
54337.28
Work out 4 * -5273851.
-21095404
What is the product of -400456891 and -0.5?
200228445.5
Multiply -291930 and -991.
289302630
Calculate 21*1244340.
26131140
359*-87599
-31448041
What is the product of -0.6847 and 72.015?
-49.3086705
What is -392537 times -116?
45534292
What is -2730 times -5434.6?
14836458
What is the product of -52788 and 203?
-10715964
Product of -38409.03 and -4.
153636.12
What is 0.5 times 2.41118?
1.20559
-2023774 times 112
-226662688
Product of 61 and -29554.
-1802794
Calculate -0.3*-203895.
61168.5
Product of 1860.75 and 1543.
2871137.25
3 times -18262934
-54788802
-693 * 0.6102
-422.8686
-298321.3 times -1.17
349035.921
Work out 39.0701 * -4.
-156.2804
What is 100147220 times -5?
-500736100
Multiply -166 and 41843.
-6945938
What is the product of 39711 and 55.2?
2192047.2
Product of -24.8 and -3578117.
88737301.6
Product of 286 and -22.365.
-6396.39
0.2 times 10266.4398
2053.28796
2289 * -214899
-491903811
-16870 times -3.59
60563.3
0.030411*-25
-0.760275
Product of 1.369 and 340930.
466733.17
What is the product of -87080 and 2.166?
-188615.28
10259589 * 16
164153424
What is 11226935 times -16?
-179630960
What is the product of 169 and 0.4051?
68.4619
What is the product of 40732.8 and -2.99?
-121791.072
-15 times 2463727.9
-36955918.5
Work out 7789 * -1399.
-10896811
What is the product of -0.1144 and 10.22?
-1.169168
Work out -20.39 * -319.
6504.41
What is the product of 1.621 and 100270?
162537.67
Work out -0.05 * -3399800.
169990
Calculate 1014*-180.668.
-183197.352
Product of -6.0995 and 3.05.
-18.603475
Product of -1.25877 and -0.101.
0.12713577
Multiply -3835834 and -4.63.
17759911.42
Work out -5 * 2798.59.
-13992.95
What is 0.59 times -1516486?
-894726.74
What is -1395.4 times 57575?
-80340155
-0.7 times 0.431704
-0.3021928
Work out -2.19660269 * -0.4.
0.878641076
6.9 * 575021
3967644.9
-88 * 185.94
-16362.72
-1916.634 * 0.09
-172.49706
-0.2 times -1.6303016
0.32606032
What is the product of -170695 and 299.5?
-51123152.5
-0.2 * 0.051129397
-0.0102258794
Calculate 0.066*-637318.
-42062.988
What is 2526.6797 times -2?
-5053.3594
What is -9977712.2 times -0.5?
4988856.1
Calculate -10222112*-9.
91999008
Product of 50.81247 and -0.2.
-10.162494
1*-272814351
-272814351
What is -0.4631788 times -10?
4.631788
15450065.6*1
15450065.6
-215.91 * -322.4
69609.384
2.4 times -0.0820768
-0.19698432
1727244 times -979
-1690971876
Product of -15.712325 and 20.
-314.2465
230297897 times 5
1151489485
2655 times 3886
10317330
Calculate 6977.886*-42.
-293071.212
Multiply -8438 and 0.05501.
-464.17438
What is the product of 2466 and 0.405892?
1000.929672
Work out -418 * 27053.6.
-11308404.8
Calculate -13771*29.8.
-410375.8
What is 1383.35 times 944?
1305882.4
-2 times 101292
-202584
2.5145 times -0.09571
-0.240662795
Product of -2501399 and 0.1.
-250139.9
17702591*0.1
1770259.1
166 times 142532
23660312
What is 10093.2017 times -3?
-30279.6051
1604 * -14.289
-22919.556
1 * 39.30412
39.30412
What is the product of -8 and 3099097?
-24792776
What is the product of 2.34628 and 36?
84.46608
Product of -264062 and -0.1.
26406.2
Work out 9 * -0.11248146.
-1.01233314
Multiply 0.507 and 79178.
40143.246
Product of -215499736 and 0.5.
-107749868
Product of -0.3 and -0.5771685.
0.17315055
What is the product of -3 and -12408949?
37226847
Multiply 616 and -2.88165.
-1775.096 | {
"pile_set_name": "DM Mathematics"
} |
v = 6 + -4. Suppose 0 = v*q - 5 + 3. Calculate the greatest common divisor of q and h.
1
Let f = 84 + -29. Suppose 3*m + 3*n - 4 = 8, -2*n + 4 = 0. Let u = m + 3. Calculate the highest common divisor of u and f.
5
Let f = 22 - 4. Calculate the highest common factor of 6 and f.
6
Suppose -3*t = 2*t + 4*g - 2, -5*g - 4 = 3*t. What is the highest common divisor of t and 14?
2
Suppose 0 = -5*m - 0*m + 10. Let w = m - -1. Suppose w*f = 16 + 26. What is the highest common divisor of f and 84?
14
Let x(t) = t**3 + 4*t**2 + 4*t + 3. Let q be x(-2). Suppose -q*s + 22 = 3*u + 4, 2*s = 4*u + 6. Calculate the highest common factor of 25 and s.
5
Suppose 4*k = 3*k + 9. Suppose -d = s - 6*d - 73, -s + 4*d + 71 = 0. Calculate the greatest common factor of s and k.
9
Let u = 17 - 18. Let t be 8*u/((-4)/10). What is the greatest common divisor of t and 120?
20
Let x = -4 - -6. Let n = 18 - 13. Suppose -h - 2*f - 2*f = -22, n*h - f = 68. Calculate the greatest common factor of x and h.
2
Let q = -3 + 8. Calculate the highest common factor of q and 5.
5
Let t be 94/6 + (2 - 15/9). Calculate the highest common divisor of 80 and t.
16
Let x = 253 - 148. Calculate the highest common factor of x and 35.
35
Let i = -2 - -37. Suppose i = 2*d - d. What is the greatest common divisor of 7 and d?
7
Let u be (-118)/(-4) - 1/(-2). Let b(t) = -t**2 - 11*t - 5. Let r be b(-10). Suppose -r*z + 54 = -6. Calculate the highest common divisor of u and z.
6
Let l = -10 + 13. Calculate the greatest common divisor of 1 and l.
1
Let u(l) = -l**2 + 6*l + 5. Let o be u(5). Calculate the highest common factor of 100 and o.
10
Let j(a) = a**3 + 5*a**2 - 9*a - 8. Suppose -5*k + 2*x - 3 - 19 = 0, 3*k - 2 = 5*x. Let b be j(k). What is the highest common divisor of 15 and b?
5
Let f = -21 + 95. Suppose 0 = 4*i + d - f, 4*d + d = 10. Let g = -22 - -49. What is the greatest common factor of i and g?
9
Let n(j) be the third derivative of j**6/120 + j**5/12 - j**4/12 - 2*j**3/3 - 2*j**2. Let u be n(-3). What is the highest common divisor of u and 10?
10
Suppose 0 = -2*x - 5*c + 70, -112 = x - 4*x - 4*c. What is the highest common divisor of x and 2?
2
Suppose -4*j = 4*f + f - 10, 2 = f - 2*j. Let n(p) = 4*p**3 + 3*p**2 - 3*p + 1. Let b be n(f). Calculate the highest common factor of 13 and b.
13
Suppose -3*h - 5*p = -104 - 149, -h + 96 = 4*p. Let x = h - 40. Calculate the highest common factor of 54 and x.
18
Suppose -180 = -5*i - 0*i. Let o(s) = -s**2 + 12. Let z be o(0). What is the highest common divisor of i and z?
12
Suppose k = 4*b + 44, -b = -5*k - 6*b + 170. Calculate the greatest common factor of 18 and k.
18
Let i = 17 - 0. Let z(v) = 1 + 2*v**2 - 3 - 1 + 3*v. Let h be z(-4). What is the highest common divisor of i and h?
17
Let d = 167 - 243. Let s = d - -148. What is the highest common divisor of s and 8?
8
Let m(x) = 6*x**3 + x**2 + x + 1. Suppose 0 = 2*o + 4, 6*t + 2*o + 9 = t. Let j be m(t). Let s = j - -6. What is the greatest common factor of 4 and s?
1
Suppose 3*r + 3 = 4*r. Let d be (r/6)/((-2)/(-20)). Suppose 25 = 5*z - d. Calculate the highest common divisor of 6 and z.
6
Let n be (-2)/(-4) - 3/(-6). Suppose 3*c = 10 - n. Calculate the greatest common divisor of c and 3.
3
Let q(r) = -r**2 + 11*r - 11. Let v(y) = y. Let z(m) = -q(m) + 5*v(m). Let g be z(7). Calculate the highest common factor of 36 and g.
18
Let k(n) = -4*n - 24. Let a be k(-12). Calculate the greatest common factor of 168 and a.
24
Let k(m) = m**3 - 8*m**2 + 7*m - 6. Let s be k(8). What is the greatest common divisor of 20 and s?
10
Let k(n) = -9*n**3 + n**2 + 3*n + 2. Let c be k(-1). What is the greatest common factor of 1 and c?
1
Let l be 194/6 - 1/3. Suppose -4*j - k + 18 = 0, 0 = -2*k + 4. What is the highest common factor of j and l?
4
Suppose 5 = -4*t - 3. Let j be (-1)/t + 308/8. What is the greatest common factor of 26 and j?
13
Let r(g) = g - 1. Let m be r(-2). Let q = 13 + m. What is the greatest common factor of q and 30?
10
Suppose 0 = -3*j - 4 - 14. Let l(f) = 4*f**2 + f - 2. Let d be l(j). What is the highest common factor of 17 and d?
17
Let a = 23 + -13. Calculate the highest common divisor of 25 and a.
5
Let r be (0/(-2)*-1)/1. Let x be (0 - -10) + r + 0. Suppose -2*v = -4*v - x, -3*h + 47 = -v. Calculate the highest common factor of h and 7.
7
Suppose 0 = y + 2*h - 1, 0 = -4*y - h + 20 - 2. Suppose -y*v - 3*l + 330 = -4*l, l - 264 = -4*v. Calculate the highest common divisor of v and 44.
22
Let r(c) = c**3 + 3*c + 3. Let t be r(3). Calculate the highest common divisor of 13 and t.
13
Suppose -5 = 2*i + 3, 2*i = l + 53. Let k = 111 + l. Let a(x) = 4*x**2 - x + 2. Let n be a(-2). Calculate the greatest common divisor of n and k.
10
Let v = 172 - 91. Calculate the greatest common divisor of 9 and v.
9
Let o(y) = -y**2 + 7*y - 1. Let s be o(5). Suppose 3*b + d = -125, 4*b + d = -3*d - 180. Let h = b - -85. Calculate the highest common divisor of s and h.
9
Suppose -5*d + 3*t + 641 = 0, -3*d - 5*t = -4*d + 115. What is the greatest common divisor of 26 and d?
26
Suppose -12*s = -609 + 129. What is the greatest common divisor of 200 and s?
40
Let d be (-80)/10*(-1)/2. Suppose -48 = -7*z + d*z. Calculate the highest common factor of 24 and z.
8
Suppose -h + 3*h = -4*k + 36, -3*h - 2*k = -42. What is the highest common factor of 12 and h?
12
Suppose -q = -2*d - 3*q + 2, 0 = 5*d - 5*q - 45. Suppose 2*j + 3*j = 75. What is the highest common divisor of d and j?
5
Let d = 5 + -3. Suppose -8 = -2*m - 0*h - d*h, -5*m = 4*h - 24. Suppose 60 = -7*v + 10*v. Calculate the greatest common divisor of m and v.
4
Let w be 6/(-4)*(-2 - 38). What is the greatest common factor of w and 12?
12
Suppose -3*k = 2*k - 265. Let u = k + -17. Suppose 0 = -4*o + o + u. Calculate the highest common factor of o and 132.
12
Let r(j) = j + 7. Suppose 0 = q - 4*q - 15. Let t be r(q). Suppose 0 = -t*h - 20 + 56. What is the highest common factor of h and 12?
6
Let s be ((-26)/(-3))/((-4)/(-6)). Let z(u) = 15*u**2 - u - 1. Let o be z(1). Calculate the highest common divisor of o and s.
13
Let k be (-3)/(-9) - 78/(-9). Suppose 5*w - 3*i - 9 = 5, 0 = 3*i + k. What is the highest common factor of 7 and w?
1
Suppose -2*v + 16 = 2*h - 12, -3*v - 6 = 0. Calculate the greatest common factor of 8 and h.
8
Suppose -5*f = -5 - 5. Suppose -2*z + 27 = 3*w, z - f*z = -3*w - 27. Calculate the highest common factor of 2 and z.
2
Let s(g) = 5*g + 2. Let c be s(-3). Let b = c - -18. Suppose -2*j = -4*h + 176, h - 3*j + 0*j = 39. Calculate the highest common factor of b and h.
5
Suppose 0 = -4*p - 134 + 450. Let l be (-1)/(1/2) + p. Calculate the highest common factor of 7 and l.
7
Let f be 0 + 28 + 2 + 3/(-1). What is the greatest common divisor of 189 and f?
27
Let j be 26 + ((-6)/(-3))/(-1). Let d(k) = -4*k**3 - 2*k**2 - k. Let y be d(-1). Calculate the highest common factor of j and y.
3
Let l(b) = -15*b. Let d be l(-1). Calculate the highest common factor of d and 75.
15
Suppose 0*x = x - 3. Suppose t - 2*t = -x. What is the highest common divisor of 1 and t?
1
Suppose 0*s = 2*s - 274. Suppose -h + 4*h = 5*u - s, -2*h + 117 = 5*u. Calculate the highest common divisor of u and 10.
5
Let d(v) = v + 34. Let n be d(29). Let r = 22 - 13. Calculate the highest common factor of n and r.
9
Suppose -2*l + 6*u + 16 = u, -5*l - 3*u = -102. What is the greatest common divisor of l and 12?
6
Suppose 5*z + 23 + 27 = 0. Let t = 1 - z. Calculate the greatest common divisor of t and 99.
11
Let k(i) = -i**3 - 4*i**2 - i - 1. Let w be k(-4). Suppose -5*r + 0*a - 4*a + 92 = 0, w*r - a - 45 = 0. Calculate the highest common divisor of 48 and r.
16
Let f(y) = -y + 1 - 2 + 2. Let x(m) = -7*m. Let v(l) = -5*f(l) + x(l). Let b be v(-4). Calculate the greatest common divisor of b and 9.
3
Let q(x) = -x**3 - 9*x**2 + 10*x + 2. Let b be q(-10). Suppose 4*u + 12 = 0, 4*m - 5*u = -b*u + 129. What is the highest common divisor of 270 and m?
30
Let i = 183 + -154. What is the highest common divisor of i and 145?
29
Let z be (-4)/10 - (-110)/25. Suppose -z*h + 5 = -11. Suppose -25 - 107 = -h*a. What is the greatest common factor of 3 and a?
3
Suppose 76 = 2*l - o, 2*l - 5*o = -o + 88. Calculate the highest common factor of 24 and l.
12
Let w = -23 - -28. Calculate th | {
"pile_set_name": "DM Mathematics"
} |
en 519 is divided by 179.
161
What is the remainder when 19749 is divided by 290?
29
Calculate the remainder when 682373 is divided by 5.
3
What is the remainder when 6717 is divided by 1087?
195
Calculate the remainder when 9821 is divided by 2451.
17
Calculate the remainder when 3547 is divided by 49.
19
Calculate the remainder when 379040 is divided by 79.
77
Calculate the remainder when 2397 is divided by 39.
18
What is the remainder when 72706 is divided by 6?
4
Calculate the remainder when 27158 is divided by 406.
362
Calculate the remainder when 591187 is divided by 153.
148
Calculate the remainder when 357483 is divided by 6620.
3
What is the remainder when 84504 is divided by 506?
2
Calculate the remainder when 3066122 is divided by 25.
22
Calculate the remainder when 112625 is divided by 361.
354
Calculate the remainder when 17990 is divided by 3594.
20
Calculate the remainder when 26697 is divided by 1226.
951
Calculate the remainder when 6459 is divided by 5.
4
Calculate the remainder when 9341249 is divided by 661.
658
What is the remainder when 386566 is divided by 78?
76
Calculate the remainder when 153995 is divided by 100.
95
Calculate the remainder when 15324 is divided by 1664.
348
What is the remainder when 3441 is divided by 1136?
33
What is the remainder when 57501 is divided by 16?
13
What is the remainder when 3412 is divided by 132?
112
What is the remainder when 261913 is divided by 353?
340
Calculate the remainder when 97317 is divided by 199.
6
Calculate the remainder when 69881 is divided by 1426.
7
Calculate the remainder when 4873 is divided by 112.
57
Calculate the remainder when 218268 is divided by 167.
166
Calculate the remainder when 634087 is divided by 12.
7
What is the remainder when 45807 is divided by 777?
741
What is the remainder when 2123 is divided by 1057?
9
What is the remainder when 1565 is divided by 24?
5
Calculate the remainder when 19803 is divided by 129.
66
What is the remainder when 16304 is divided by 291?
8
What is the remainder when 851 is divided by 617?
234
Calculate the remainder when 14573 is divided by 18.
11
What is the remainder when 28418 is divided by 9464?
26
What is the remainder when 51730 is divided by 24?
10
Calculate the remainder when 222 is divided by 20.
2
What is the remainder when 204676 is divided by 1651?
1603
What is the remainder when 5989799 is divided by 804?
803
What is the remainder when 2539 is divided by 1898?
641
Calculate the remainder when 8207 is divided by 2729.
20
Calculate the remainder when 7671 is divided by 220.
191
Calculate the remainder when 37975 is divided by 233.
229
What is the remainder when 9427 is divided by 69?
43
What is the remainder when 8048 is divided by 8034?
14
Calculate the remainder when 726335 is divided by 26901.
8
What is the remainder when 2004033 is divided by 548?
545
What is the remainder when 3481 is divided by 75?
31
What is the remainder when 13720 is divided by 979?
14
Calculate the remainder when 349121 is divided by 95.
91
What is the remainder when 63940 is divided by 5?
0
Calculate the remainder when 80523 is divided by 20126.
19
Calculate the remainder when 51610 is divided by 42.
34
What is the remainder when 57894 is divided by 28894?
106
What is the remainder when 2088 is divided by 938?
212
Calculate the remainder when 135421 is divided by 67642.
137
What is the remainder when 100637 is divided by 148?
145
Calculate the remainder when 19878 is divided by 170.
158
Calculate the remainder when 13503 is divided by 3229.
587
Calculate the remainder when 9700 is divided by 336.
292
Calculate the remainder when 135176 is divided by 51.
26
What is the remainder when 169061 is divided by 169058?
3
What is the remainder when 2415118 is divided by 347?
345
What is the remainder when 12061 is divided by 98?
7
What is the remainder when 25103 is divided by 1475?
28
Calculate the remainder when 57728 is divided by 62.
6
What is the remainder when 718 is divided by 599?
119
What is the remainder when 42509 is divided by 5312?
13
Calculate the remainder when 2344 is divided by 690.
274
What is the remainder when 363436 is divided by 13?
8
Calculate the remainder when 1748 is divided by 124.
12
What is the remainder when 401 is divided by 21?
2
What is the remainder when 25264 is divided by 12631?
2
What is the remainder when 20995 is divided by 9?
7
What is the remainder when 31532 is divided by 108?
104
Calculate the remainder when 225 is divided by 83.
59
What is the remainder when 182 is divided by 162?
20
What is the remainder when 23887 is divided by 11943?
1
What is the remainder when 40659 is divided by 10103?
247
Calculate the remainder when 53775 is divided by 55.
40
Calculate the remainder when 541743 is divided by 29.
23
Calculate the remainder when 7410 is divided by 157.
31
Calculate the remainder when 1407 is divided by 202.
195
What is the remainder when 69782 is divided by 4361?
6
Calculate the remainder when 1544 is divided by 1503.
41
What is the remainder when 4286 is divided by 1419?
29
Calculate the remainder when 197827 is divided by 2826.
7
Calculate the remainder when 638 is divided by 38.
30
Calculate the remainder when 928814 is divided by 112.
110
What is the remainder when 33249 is divided by 16622?
5
What is the remainder when 73951 is divided by 510?
1
Calculate the remainder when 2345 is divided by 821.
703
What is the remainder when 4240 is divided by 90?
10
Calculate the remainder when 29404 is divided by 9755.
139
Calculate the remainder when 1255060 is divided by 50.
10
Calculate the remainder when 925 is divided by 249.
178
What is the remainder when 31434 is divided by 7?
4
Calculate the remainder when 14167 is divided by 7083.
1
What is the remainder when 729 is divided by 99?
36
Calculate the remainder when 387816 is divided by 96946.
32
Calculate the remainder when 8201 is divided by 2044.
25
What is the remainder when 3362 is divided by 668?
22
Calculate the remainder when 771491 is divided by 182.
175
What is the remainder when 1129294 is divided by 221?
205
Calculate the remainder when 60731 is divided by 1786.
7
What is the remainder when 3219830 is divided by 313?
312
What is the remainder when 11701 is divided by 298?
79
What is the remainder when 39571 is divided by 22?
15
Calculate the remainder when 4031 is divided by 2009.
13
What is the remainder when 14832 is divided by 316?
296
Calculate the remainder when 381 is divided by 33.
18
What is the remainder when 245016 is divided by 81672?
0
What is the remainder when 22331 is divided by 5375?
831
Calculate the remainder when 19066 is divided by 1077.
757
Calculate the remainder when 162551 is divided by 128.
119
What is the remainder when 3183 is divided by 3043?
140
What is the remainder when 4410 is divided by 119?
7
Calculate the remainder when 11807 is divided by 368.
31
What is the remainder when 24515 is divided by 40?
35
Calculate the remainder when 5074 is divided by 452.
102
What is the remainder when 8044 is divided by 1974?
148
Calculate the remainder when 2420 is divided by 2401.
19
Calculate the remainder when 91143 is divided by 66.
63
What is the remainder when 23212 is divided by 11468?
276
What is the remainder when 22815 is divided by 326?
321
Calculate the remainder when 458 is divided by 150.
8
Calculate the remainder when 447 is divided by 8.
7
Calculate the remainder when 337609 is divided by 22.
19
What is the remainder when 205573 is divided by 3068?
17
What is the remainder when 813 is divided by 215?
168
What is the remainder when 1803 is divided by 23?
9
Calculate the remainder when 1197 is divided by 276.
93
What is the remainder when 86292 is divided by 134?
130
What is the remainder when 5472 is divided by 452?
48
Calculate the remainder when 34755 is divided by 39.
6
What is the remainder when 12553 is divided by 3967?
652
What is the remainder when 3273 is divided by 566?
443
What is the remainder when 4276 is divided by 186?
184
What is the remainder when 5267 is divided by 78?
41
What is the remainder when 87206 is divided by 17368?
366
Calculate the remainder when 10934 is divided by 74.
56
What is the remainder when 2762 is divided by 115?
2
What is the remainder when 955 is divided b | {
"pile_set_name": "DM Mathematics"
} |
+ (-3 - -7) + -8.
-5
What is the value of -5 + (-3 - (-7 - -5)) + 5?
-1
Calculate -10 + 4 + 4 - -6.
4
Calculate -5 - (-8 + 1 + 3) - -2.
1
Evaluate (7 - -1) + (0 - 1) + -2.
5
Calculate 7 + (1 - (-1 + 5)).
4
Evaluate (-31 - -20) + (-1 - -3).
-9
Evaluate -2 + (3 - 4) + (-4 - -12).
5
What is the value of 10 - (-6 + 11) - 11?
-6
Evaluate (1 - -5) + (30 - 35).
1
What is the value of (21 - 24) + (-2 - (-1 - 1))?
-3
-1 - -9 - 4 - (-8 - -5)
7
(-10 - (-2 - 16)) + -7
1
2 + 0 - (-67 - -61)
8
What is -4 + 13 + (-3 - 2) - 3?
1
What is the value of 0 + (1 - 1) + 0?
0
-1 - (-5 - (-6 + 7 + -1))
4
Calculate -1 + -6 + (9 - 6).
-4
What is the value of (2 - (2 - 0)) + -1 + 1?
0
Evaluate 0 - (1 + (-4 - 5) + 2).
6
0 + (-2 - -5) + -7
-4
Evaluate 4 + -3 - (-4 + 5 - -1).
-1
Evaluate (1 + -5 - -1) + 7.
4
Calculate -150 - -154 - (0 - 3 - -1).
6
What is the value of 5 + -10 - (-5 - -2)?
-2
Calculate (-5 + 1 - -2) + 2 - -3.
3
What is -17 - (-24 - -14 - 5)?
-2
What is -4 - -2 - (-2 - 1)?
1
4 - ((-5 + 2 - -3) + 10)
-6
What is the value of (-5 - (-3 - -1)) + 0 - 0?
-3
What is -3 + (1 - -4 - 2)?
0
What is -2 - -9 - (3 + -1)?
5
What is the value of -1 + 5 + -10 - -11?
5
What is 6 + -2 + 1 + -4?
1
What is the value of (1 - (1 + 0)) + (14 - 11)?
3
Evaluate 7 + -2 + -8 + -2.
-5
Calculate -1 + (1 - (3 - 2)).
-1
What is the value of (-1 - 0) + (-1 - (-3 + 0))?
1
What is the value of -8 + (4 - 2 - -1) + 0?
-5
What is the value of 0 + -36 + 44 + 0 + -5?
3
-11 - (-3 - -3 - 6)
-5
What is -2 - (-2 + 0 - (13 + -8))?
5
Calculate -7 + 5 - (-2 - 6).
6
What is 0 - 4 - (-2 - -1 - -2)?
-5
Calculate 2 + -3 + -2 + (1 - 3).
-5
What is (10 + -7 - 1) + 4?
6
Calculate 13 + 1 + -7 + -11.
-4
What is -2 + 1 - (-2 + -10 + 9)?
2
What is the value of 5 + 0 + (-1 - 2) + -5?
-3
Calculate -4 + 1 + -3 - -6.
0
3 + -3 - 7 - -3
-4
What is 4 - (3 - 1) - 3?
-1
What is the value of 0 + (-1 + 1 + 3 - 0)?
3
Evaluate 8 - ((32 - 31) + (6 - 1)).
2
Calculate -2 - -8 - (-7 + 13).
0
What is the value of 23 + -24 + (-3 - -1) + -1?
-4
7 - (9 + (0 - (7 + -2)))
3
(1 - -4) + (13 - (-1 - -14))
5
What is 3 + (0 - 1) + (-13 - -9)?
-2
(6 + 3 - 13) + 2 + 0
-2
1 + -5 + 4 + -3
-3
What is the value of 1 + 11 - (2 + 3)?
7
Evaluate (-5 - (-3 - (-2 + -1))) + 1.
-4
Calculate (0 + 1 - -2) + 7 + -7.
3
Calculate 13 - 11 - (-3 - -7).
-2
What is -1 + -2 + (6 - 1)?
2
What is the value of 2 - ((-7 - -4) + 6)?
-1
What is 12 + -11 - (0 + 4)?
-3
3 - (-6 + 7) - 7
-5
Evaluate (0 - -4) + (-8 - (-5 + 3)).
-2
Evaluate (-7 - (-14 - -3)) + 1.
5
6 - (3 - (-9 - (-5 - -1)))
-2
Calculate 1 + -8 - (26 + -15 + -14).
-4
(20 - 7 - 10) + -4
-1
What is the value of 0 - -7 - (86 + -73)?
-6
Calculate -10 - (-2 + -7 + 3).
-4
What is the value of 11 - 14 - (-1 + 4) - 1?
-7
(33 - 35) + -1 + -3
-6
Evaluate -4 + (6 - -1) - (0 - -6).
-3
Evaluate -4 + 4 + -6 + 2.
-4
(0 - (6 - (4 - 1))) + 1
-2
What is 3 + (2 - 3) + 7 + -4?
5
Calculate 17 - (3 - (6 + -9)) - 2.
9
-1 - -8 - (20 + 14 + -32)
5
8 + -19 + 0 + 6 + 8
3
7 - 2 - ((2 - 6) + 11)
-2
What is (1 - (-1 - -8)) + 0?
-6
0 - 2 - (2 - (0 + 2))
-2
What is the value of 2 + 3 - (-8 + 7) - 6?
0
Evaluate -21 + 4 + 24 - (-1 + 11).
-3
Calculate -1 - (-13 - -5) - 10.
-3
Evaluate -3 + 2 - (-29 - -28).
0
Calculate -2 + 4 + -3 + 10 - 6.
3
1 + -1 + 3 + -1 + -1
1
-2 + (7 - (2 + 5))
-2
What is 0 + 15 - (15 - 7)?
7
-2 + (-10 - -5) + -1 + 3
-5
What is the value of (-6 - (-11 - -4)) + 0?
1
Calculate (55 - 64) + 14 + -2.
3
What is 3 + (3 + 3 - (13 - 6))?
2
What is the value of 0 - (-2 + 3) - (24 + -23)?
-2
What is 2 - 0 - (7 + (-10 - -11))?
-6
What is (135 - 126) + (1 - 2)?
8
Calculate 0 - (0 - -4) - (-3 - -1).
-2
What is the value of (8 - 9) + (-3 - (-1 + -1))?
-2
Calculate 11 + -1 + (-37 - -28).
1
-2 + (0 - -5) + -6
-3
What is the value of 4 - -1 - -1 - (-1 - -2)?
5
Evaluate -1 + 8 - (5 + (9 - 12)).
5
Calculate -15 + (-1 - -2 - -6) - -8.
0
(2 - 7) + 8 - (1 - 1)
3
102 + -98 + (-1 - 11)
-8
Calculate -1 + 4 - (5 + -1).
-1
What is the value of 3 - 7 - (5 - 7)?
-2
38 + -37 + 0 + 0 + 4
5
Calculate 3 - (0 - -1 - -1).
1
(2 - 1) + -6 + 5 - 2
-2
Calculate -1 - 2 - (-2 - 2).
1
-1 - (3 + (-4 + 4 - 10))
6
What is the value of 2 + -6 + (0 - 2)?
-6
Calculate 5 + 0 + -2 + (11 - 10).
4
What is (-9 + 7 - -7) + -3?
2
Evaluate (-5 + -5 - -12) + -5.
-3
What is the value of 1 + -23 + 14 + 0?
-8
Evaluate 5 + -3 + 9 + -1 + -3.
7
What is the value of (-5 - (-7 + -2)) + -11?
-7
Calculate (2 - -2 - 3) + -6 + 2.
-3
What is 7 - (9 + -9 - -7)?
0
What is -3 + 9 - (9 - 6)?
3
-12 + (2 - (4 + -5))
-9
-12 - (-21 - (-6 - 3))
0
What is the value of (-4 - (-6 - -2)) + 3 + 0?
3
17 + (-5 - 1) + -3 + 1
9
Calculate 4 + (3 + -1 - 3).
3
What is the value of -9 - -10 - (9 - 3)?
-5
What is the value of 0 + (-3 - (-8 + 6))?
-1
What is the value of 0 + (-1 - (1 + -6))?
4
Calculate 1 + 3 + -4 + (1 - -4).
5
Evaluate 27 + -36 + (-1 - -8).
-2
2 - (-9 + 6) - (12 + 0)
-7
(0 - -2) + 3 + -48 + 39
-4
-8 + 14 + -3 + -3
0
14 - (7 - 21 - -23)
5
Evaluate 5 + (-5 - (0 + -2)).
2
Calculate 1 + (-17 - -17) + 1 + 2.
4
2 + -7 + -2 + 3
-4
-2 + 1 - (-8 + 8)
-1
Calculate -9 + (-5 - (-30 - -9)).
7
Evaluate (1 - 4) + 0 - (-2 + 1).
-2
-1 + (0 - 8 - (-10 - -6))
-5
Evaluate 0 + (10 - 5) + -4.
1
What is -6 + (1 - (4 - 4))?
-5
Calculate -1 - (5 - 5) - 4.
-5
Evaluate -3 + (-1 - -8) + -2 - 1.
1
Evaluate (1 - -4) + -1 + (0 - 9).
-5
What is the value of -1 + 0 + 15 + -8 - 6?
0
5 + -2 - 5 - -6
4
Calculate 4 - 2 - (-2 + 0).
4
What is the value of 1 + -10 + 10 + 1 + 4?
6
What is the value of (-1 - -4) + 1 + (63 - 63)?
4
Evaluate 0 + -3 - (8 - 14).
3
0 + 0 + -1 + 4 + -5
-2
Evaluate -2 + -4 - (-3 + 7 + -5).
-5
2 + 1 + -3 + 3 + -1
2
Calculate -15 + (4 - (3 + -8)).
-6
6 + 7 - 4 - (7 + -5)
7
Calculate -4 + (4 - 5 - -3) + 1.
-1
What is the value of -2 - (3 - 3) - (-6 - -2)?
2
What is 0 - 2 - -2 - -8?
8
Calculate 2 - ((-2 - -2) + -1).
3
Evaluate (-2 - (5 + -2)) + 3.
-2
What is the value of (4 - (-6 - (1 - -3))) + -8?
6
155 + -146 + (1 - 13)
-3
What is 1 + 0 + 42 + -40?
3
Calculate 5 + (3 - ((6 - -4) + -5)).
3
What is the value of -25 + 5 + 7 + 7?
-6
Calculate -10 - -4 - (1 + -9).
2
8 + 0 - (2 - -2)
4
What is the value of 15 - (-12 - (-35 + 12))?
4
2 - (5 + 7) - -9
-1
Calculate -11 + (11 - (3 + 3)).
-6
What is the value of -3 - (1 + (-6 - -3) - -6)?
-7
-1 - (-1 - -2 - 8)
6
What is 6 - ((2 - -7) + -5)?
2
15 + 0 + -16 + (7 - -2)
8
What is 4 - (0 + 3 - 1)?
2
What is the value of -5 - (6 + -9) - (-6 + -1)?
5
What is the value of 0 + (-6 - -2) + -1?
-5
Calculate (9 - (5 - -1)) + 0 + -7.
-4
What is the value of -6 + (15 - (19 + -10))?
0
9 + (0 - 18) + 7
-2
What is the value of (13 - 8) + -3 + 0?
2
What is the value of 1 - (-1 - -2) - (23 - 26)?
3
What is the value of (2 - -4) + 27 + -29?
4
What is 11 + -5 - (4 + -1)?
3
What is the value of 2 - 0 - (1 - (-1 + 0))?
0
What is 4 + (0 - -2) - 4?
2
What is the value of -5 + 2 + -2 + 8?
3
Evaluate 2 + 0 - (6 + 2 + -1).
-5
What is the value of 14 - 9 - (-1 - -9)?
-3
Evaluate -4 - 3 - (1 + 1 + -3).
-6
Evaluate 8 + 8 + -13 + -3.
0
What is the value of -2 + 4 + (3 - 8)?
-3
What is 9 - (-6 + 15 + -7) - -2?
9
What is the value of (1 + -7 - (-7 + 0)) + 4?
5
Evaluate (-4 - 2) + 0 + 11.
5
Evaluate (-3 - 0) + -5 + 0 + 7.
-1
15 - 9 - (-1 + 7)
0
What is -7 - (1 - 4) - (-3 - 0)?
-1
Evaluate -6 - -2 - (0 + 0 - 9).
5
Calculate 0 - (0 + 1 + -1 - -2).
-2
Calculate 2 + 0 + 2 + -1.
3
Evaluate 2 - 2 - (-3 - -6) - 1.
-4
What is -1 + (-4 - (2 + -17 + 5))?
5
Calculate -11 + 5 + 4 - (-1 + -2).
1
Calculate 3 + -4 + 2 + -2.
-1
-5 - (2 + 0 - 3)
-4
Calculate (2 - 9 - (2 + -6)) + 8.
5
(1 - 6 - -10) + 2
7
2 + (6 - (-5 - -8)) + -1
4
Calculate -1 + 0 + (2 + -6 - -2).
-3
1 + (-6 - (-1 + -2))
-2
What is the value of (3 - 0) + 3 + -11 + 10?
5
Calculate -7 + -1 + -1 - -5.
-4
Calculate 3 + 2 + 2 + -3 + -2.
2
Calculate (-15 - -14) + (1 - 1) + 7.
6
Evaluate -9 - -2 - (-5 + 0).
-2
Calculate -1 + 11 - (69 + -66).
7
Calculate (-1 - -5) + (1 - 6).
-1
What is the value of 2 - ((0 - 2) + 3) - 0?
1
What is 5 + -3 - (6 + -1) - -5?
2
What is the value of 3 - 5 - 3 - -2 - 2?
-5
Evaluate 10 + -7 + (4 - 2).
5
What is the value of 0 + -8 - -10 - (2 - -2)?
-2
What is -2 + 1 + 2 - (-23 - -28)?
-4
What is -6 - (-2 + -7) - 1?
2
Evaluate -2 + -3 + 10 + -2.
3
What is -3 - -15 - (-20 + 26)?
6
Evaluate (8 - 10) + -1 - -11.
8
Evaluate 2 - (-2 + 6 + -7).
| {
"pile_set_name": "DM Mathematics"
} |
- 1
What is the q'th term of -6631078, -6631076, -6631074, -6631072, -6631070, -6631068?
2*q - 6631080
What is the y'th term of -2314227, -2314198, -2314169, -2314140?
29*y - 2314256
What is the v'th term of -42618, -170453, -383510, -681789, -1065290, -1534013?
-42611*v**2 - 2*v - 5
What is the r'th term of 4802350, 4802360, 4802382, 4802416, 4802462, 4802520?
6*r**2 - 8*r + 4802352
What is the d'th term of 989246, 989268, 989290, 989312?
22*d + 989224
What is the g'th term of -40743, -70683, -100625, -130569, -160515?
-g**2 - 29937*g - 10805
What is the w'th term of -593954, -2375823, -5345610, -9503309, -14848914, -21382419, -29103818?
w**3 - 593965*w**2 + 19*w - 9
What is the u'th term of 476, 3635, 12160, 28733, 56036, 96751?
447*u**3 + u**2 + 27*u + 1
What is the k'th term of 1890, 578, -1614, -4692, -8662, -13530?
-k**3 - 434*k**2 - 3*k + 2328
What is the p'th term of -248698, -497438, -746184, -994936, -1243694?
-3*p**2 - 248731*p + 36
What is the p'th term of 18710, 18673, 18610, 18521?
-13*p**2 + 2*p + 18721
What is the i'th term of 793799, 1587610, 2381421, 3175232?
793811*i - 12
What is the h'th term of -2491986, -2491916, -2491848, -2491782?
-h**2 + 73*h - 2492058
What is the j'th term of 119336, 238617, 357898, 477179?
119281*j + 55
What is the d'th term of -1871, -2664, -3451, -4226, -4983, -5716, -6419, -7086?
d**3 - 3*d**2 - 791*d - 1078
What is the s'th term of 9337, 31450, 68299, 119878, 186181, 267202?
-s**3 + 7374*s**2 - 2*s + 1966
What is the t'th term of -91499, -183390, -275297, -367226, -459183?
-t**3 - 2*t**2 - 91878*t + 382
What is the y'th term of 121084, 242239, 363466, 484765, 606136, 727579, 849094?
36*y**2 + 121047*y + 1
What is the h'th term of 549375, 4395113, 14833543, 35161011, 68673863?
549391*h**3 + h - 17
What is the y'th term of 2536, 1796, 1150, 646, 332?
8*y**3 - y**2 - 793*y + 3322
What is the d'th term of -582278, -582236, -582166, -582068, -581942?
14*d**2 - 582292
What is the m'th term of 7989, 26060, 54213, 92448, 140765?
5041*m**2 + 2948*m
What is the o'th term of -124037, -124090, -124143, -124196, -124249, -124302?
-53*o - 123984
What is the h'th term of -2459, 885, 15809, 48103, 103557?
965*h**3 - 3411*h - 13
What is the h'th term of 11987, 12097, 12217, 12347, 12487, 12637, 12797?
5*h**2 + 95*h + 11887
What is the x'th term of -922349, -1844758, -2767225, -3689750?
-29*x**2 - 922322*x + 2
What is the p'th term of 62897, 62823, 62759, 62717, 62709?
2*p**3 - 7*p**2 - 67*p + 62969
What is the b'th term of 165040111, 330080223, 495120335, 660160447, 825200559?
165040112*b - 1
What is the z'th term of 96687, 193346, 290011, 386682, 483359, 580042?
3*z**2 + 96650*z + 34
What is the c'th term of -41558, -41682, -41806, -41930?
-124*c - 41434
What is the j'th term of -6248652, -12497310, -18745968?
-6248658*j + 6
What is the g'th term of 123, 39, -37, -111, -189, -277, -381?
-g**3 + 10*g**2 - 107*g + 221
What is the j'th term of 162320, 324764, 487208, 649652, 812096?
162444*j - 124
What is the t'th term of -2000574, -2000602, -2000630, -2000658, -2000686, -2000714?
-28*t - 2000546
What is the f'th term of -341251, -341236, -341221, -341206?
15*f - 341266
What is the w'th term of -56081, -56104, -56159, -56252, -56389?
-w**3 - 10*w**2 + 14*w - 56084
What is the k'th term of -3437613, -3437617, -3437621?
-4*k - 3437609
What is the g'th term of -162864, -162859, -162852, -162843?
g**2 + 2*g - 162867
What is the u'th term of 1594631, 3189260, 4783895, 6378536, 7973183, 9567836, 11162495?
3*u**2 + 1594620*u + 8
What is the p'th term of 1420, 6094, 13918, 24892, 39016, 56290?
1575*p**2 - 51*p - 104
What is the y'th term of -42347, -42152, -41849, -41444, -40943, -40352, -39677, -38924?
-y**3 + 60*y**2 + 22*y - 42428
What is the y'th term of -5155, -20243, -45245, -80167, -125015, -179795, -244513?
-y**3 - 4951*y**2 - 228*y + 25
What is the z'th term of 101541, 201583, 301625, 401667, 501709, 601751?
100042*z + 1499
What is the g'th term of -66748, -66620, -66278, -65614, -64520?
18*g**3 - g**2 + 5*g - 66770
What is the o'th term of -283114, -284704, -286294, -287884, -289474, -291064?
-1590*o - 281524
What is the c'th term of -2007, -15197, -50791, -119991, -233999, -404017, -641247?
-1867*c**3 - 121*c - 19
What is the n'th term of 207923, 415830, 623737, 831644, 1039551?
207907*n + 16
What is the p'th term of 2117526, 2117536, 2117546?
10*p + 2117516
What is the m'th term of -78766, -90517, -110102, -137521, -172774, -215861?
-3917*m**2 - 74849
What is the d'th term of 11871, 11235, 10599, 9963, 9327?
-636*d + 12507
What is the x'th term of 25620, 22599, 19578?
-3021*x + 28641
What is the c'th term of -213, -1385, -4329, -9855, -18773, -31893, -50025, -73979?
-135*c**3 - 76*c**2 + c - 3
What is the t'th term of -16615, -13728, -10841, -7954, -5067?
2887*t - 19502
What is the w'th term of 27360650, 27360644, 27360638, 27360632?
-6*w + 27360656
What is the p'th term of 2986, -10032, -23040, -36032, -49002, -61944, -74852?
p**3 - p**2 - 13022*p + 16008
What is the p'th term of 175487, 701886, 1579195, 2807408, 4386519, 6316522, 8597411?
-p**3 + 175461*p**2 + 23*p + 4
What is the u'th term of 1004132, 2008202, 3012272, 4016342, 5020412, 6024482?
1004070*u + 62
What is the x'th term of -49570, -396432, -1337940, -3171418, -6194190, -10703580, -16996912?
-49554*x**3 + x**2 + 13*x - 30
What is the o'th term of 1189451, 1189459, 1189467?
8*o + 1189443
What is the f'th term of -865, -3360, -7313, -12556, -18921, -26240, -34345?
28*f**3 - 897*f**2 + 4
What is the x'th term of -37167, -297112, -1002591, -2376372, -4641223?
-37128*x**3 + x**2 - 52*x + 12
What is the v'th term of 30597, 61355, 92113, 122871?
30758*v - 161
What is the y'th term of -461006, -922273, -1383540?
-461267*y + 261
What is the n'th term of -60781, -243198, -547245, -972922, -1520229, -2189166?
-60815*n**2 + 28*n + 6
What is the x'th term of -92016, -93385, -94754, -96123, -97492?
-1369*x - 90647
What is the x'th term of 1993, 8945, 20853, 37717, 59537?
2478*x**2 - 482*x - 3
What is the d'th term of 24251, 79098, 170509, 298484, 463023?
18282*d**2 + d + 5968
What is the k'th term of -3439827, -13759305, -30958425, -55037181, -85995567, -123833577?
k**3 - 3439827*k**2 - 4*k + 3
What is the r'th term of 229, 912, 2067, 3706, 5841, 8484, 11647?
2*r**3 + 224*r**2 - 3*r + 6
What is the k'th term of 471346, 942957, 1414566, 1886173?
-k**2 + 471614*k - 267
What is the t'th term of 88169, 91381, 94593, 97805, 101017, 104229?
3212*t + 84957
What is the m'th term of -850841, -1701619, -2552393, -3403163, -4253929, -5104691?
2*m**2 - 850784*m - 59
What is the u'th term of -15807, -61108, -136609, -242310?
-15100*u**2 - u - 706
What is the s'th term of -24968, -24973, -24982, -24995, -25012?
-2*s**2 + s - 24967
What is the d'th term of -1286221, -2572432, -3858647, -5144866, -6431089, -7717316, -9003547?
-2*d**2 - 1286205*d - 14
What is the k'th term of 7991, 16723, 25453, 34181, 42907, 51631?
-k**2 + 8735*k - 743
What is the f'th term of 11501958, 11501934, 11501910?
-24*f + 11501982
What is the j'th term of 11842, 14069, 16296, 18523?
2227*j + 9615
What is the j'th term of 22420, 22461, 22502?
41*j + 22379
What is the g'th term of -777854, -777949, -778044, -778139, -778234, -778329?
-95*g - 777759
What is the t'th term of -600, -2386, -5342, -9468, -14764, -21230, -28866?
-585*t**2 - 31*t + 16
What is the j'th term of -20612686, -20612688, -20612690?
-2*j - 20612684
What is the a'th term of -140592, -280334, -420078, -559824?
-a**2 - 139739*a - 852
What is the f'th term of -58267, -233509, -525579, -934477, -1460203?
-58414*f**2 + 147
What is the q'th term of 12518, 50093, 112706, 200357, 313046, 450773?
12519*q**2 + 18*q - 19
What is the h'th term of -6286683, -12573367, -18860049, -25146729?
h**2 - 6286687*h + 3
What is the x'th term of -1043, -2, 1039, 2080?
1041*x - 2084
What is the l'th term of 572, 2989, 7034, 12719, 20056, 29057, 39734?
2*l**3 + 802*l**2 - 3*l - 229
What is the a'th term of -12628, -26813, -44094, -66019, -94136, -129993, -175138?
-258*a**3 - 12379*a + 9
What is the d'th term of -344899, -689808, -1034717, -1379626, -1724535, -2069444?
-344909*d + 10
What is the b'th term of -160981610, -321963220, -482944830, -643926440, - | {
"pile_set_name": "DM Mathematics"
} |
-t + 3. Suppose -5*p - 4*d + 8 = 0, 18 = l*p - 3*d - 7. Factor 3*n**2 + 2*n**4 - 5 + 5 + 3*n**3 - 3*n - 5*n**p.
-3*n*(n - 1)**2*(n + 1)
Let g be (12/42)/(1/21). Suppose -11*i + 15 = -g*i. Determine y, given that y - 12*y**2 - y**i + y**2 + 3*y**4 + 8*y**2 = 0.
-1, 0, 1/3, 1
Let p(h) = -9*h**2 + 25*h + 17. Let j(o) = -4*o**2 + 12*o + 9. Let y(m) = 7*j(m) - 3*p(m). Let f be y(10). Factor 8*w**4 + w**3 + 5*w**5 - 2*w**2 - w**2 + w**f.
w**2*(w + 1)**2*(5*w - 2)
Let w = 17565/4 + -4391. Solve -1/4*i**3 + w*i + 1/2 - 1/2*i**2 = 0 for i.
-2, -1, 1
Let q(y) be the third derivative of y**7/210 + y**6/60 - y**5/60 - y**4/12 + 8*y**2 - 19. Solve q(c) = 0 for c.
-2, -1, 0, 1
Let g(w) = -12*w + 770. Let j be g(64). Find l, given that 20/3*l**3 - 20*l**4 + 0 + 0*l**j + 0*l + 25/3*l**5 = 0.
0, 2/5, 2
Determine f, given that 2*f**5 + 0*f**5 + 44*f**4 + 118*f**3 - 528*f**2 + 242*f - 92*f**4 + 214*f**3 = 0.
0, 1, 11
Factor 0 + 1/2*a**2 + 47/2*a.
a*(a + 47)/2
Suppose -5*c = 5*z - 0*c - 10, -3*z - 2*c = -5. Factor -16*i - 3*i**2 - z - i**2 - 11.
-4*(i + 1)*(i + 3)
Factor -5*v**3 + 26*v**2 + 12*v**2 + 21*v**2 - 44*v**2.
-5*v**2*(v - 3)
Factor 1251 - 10139 + 48092 + m**2 + 396*m.
(m + 198)**2
Suppose -2*i + 6 = -58. Suppose 2*k = -6*k + i. What is u in -1/2*u**k + 0*u + u**3 + 0 - 1/2*u**2 = 0?
0, 1
Let w = 208772/5 + -41890. Let l = w + 136. Factor -2/5*o**2 + 2/5*o**4 + 0 + 2/5*o - l*o**3.
2*o*(o - 1)**2*(o + 1)/5
Let y(t) be the first derivative of -4*t**3/15 - 58*t**2/5 + 24*t + 79. Determine x, given that y(x) = 0.
-30, 1
Let t(l) = -l**3 - 12*l**2 + 12*l - 6. Let b(o) = 3*o**3 + 36*o**2 - 34*o + 17. Let g(k) = -6*b(k) - 17*t(k). Factor g(h).
-h**2*(h + 12)
Suppose -p + 4 - 1 = 0. Let j(z) be the second derivative of 0*z**p - 5*z + 0*z**2 + 1/12*z**4 + 0. Determine c so that j(c) = 0.
0
Let a(z) = z**2 + 11*z + 4. Let j be a(-10). Let n be (-8)/12*9/j. Suppose -17*b**2 - 2*b + 1 + 16*b**2 - n = 0. Calculate b.
-2, 0
Let s(j) be the second derivative of -1/120*j**4 + 3*j**2 - 1/30*j**3 - 5*j + 0 + 1/150*j**5. Let p(k) be the first derivative of s(k). Factor p(i).
(i - 1)*(2*i + 1)/5
Let x be 5*((-55)/(-22))/((-10)/(-4)). Let f(p) be the third derivative of -2*p**2 + 0 - 1/8*p**3 + 1/240*p**x + 0*p - 1/48*p**4. Solve f(z) = 0.
-1, 3
Let a(f) be the first derivative of -f**5/4 - 5*f**4/2 + 55*f**3/12 + 45*f**2/4 - 54. Factor a(z).
-5*z*(z - 2)*(z + 1)*(z + 9)/4
Let u(q) be the first derivative of 2/9*q**3 + 2/5*q**5 - 1/18*q**6 - 11/12*q**4 + 2*q**2 + 10 - 8/3*q. Factor u(c).
-(c - 2)**3*(c - 1)*(c + 1)/3
Let o(x) = -x**4 + x**3 - 4*x**2 - x - 1. Let l(c) = -2*c**4 + 4*c**3 - 13*c**2 - 4*c - 3. Let y(k) = -l(k) + 3*o(k). Let y(h) = 0. Calculate h.
-1, 0, 1
Let k = -15 - -15. Let n = 0 - k. Factor 17*s + 3*s - 16*s**2 + 4*s**3 + 4 - 12 + n*s**3.
4*(s - 2)*(s - 1)**2
Determine a, given that 0*a**3 - 14*a**2 - 144 + 4*a**3 - 6*a**2 - 213*a + 226*a - 141*a = 0.
-2, 9
Let d(l) = l**3 + l**2 - 2*l + 2. Let u(c) = -226*c**3 - 451*c**2 - 225*c + 4. Let a(s) = d(s) - u(s). Find y, given that a(y) = 0.
-1, 2/227
Factor 22/7*w**3 - 62/7*w**2 + 0 - 2/7*w**4 + 6*w.
-2*w*(w - 7)*(w - 3)*(w - 1)/7
Suppose 0 = -2*i + 5*y + 15, 4*i - 4*y + 15 = 27. Let w(j) be the first derivative of i*j**3 + 0*j**2 - 3 - 1/45*j**6 - 2/75*j**5 + 0*j + 0*j**4. Factor w(a).
-2*a**4*(a + 1)/15
Factor 79/4*t + 5*t**2 + 15 + 1/4*t**3.
(t + 1)*(t + 4)*(t + 15)/4
Suppose -4*l = 5 - 41. Let q = 13 - l. Factor -2*f**5 + 0*f**3 - 4*f**q + 4*f**5 - 3*f**3 + 5*f**3.
2*f**3*(f - 1)**2
Let t = -3212/39 + 1296/13. Solve -t*p + 16/3 - 14/3*p**2 = 0 for p.
-4, 2/7
Let g = -3159/35 - -452/5. Let s(r) be the third derivative of g*r**3 - 1/21*r**4 - 11*r**2 + 0 + 0*r + 1/210*r**5. Factor s(q).
2*(q - 3)*(q - 1)/7
Let j(g) be the first derivative of g**4/5 + 16*g**3/5 - 24*g**2 + 256*g/5 - 557. Find x such that j(x) = 0.
-16, 2
What is b in 84/5*b**4 + 6/5*b**2 + 99/5*b**3 + 3*b**5 + 0 - 24/5*b = 0?
-4, -1, 0, 2/5
Let s = 70 - 68. Solve 26 - 11 - 16*p - 29 - 2*p**s = 0 for p.
-7, -1
Let t(q) be the third derivative of q**7/70 + 11*q**6/20 + 121*q**5/20 - 2*q**2 + 2. Factor t(h).
3*h**2*(h + 11)**2
Let z(h) be the third derivative of 1/112*h**8 + 0 - 8*h**2 + 0*h**5 - 1/40*h**6 + 0*h + 0*h**4 + 0*h**7 + 0*h**3. Factor z(m).
3*m**3*(m - 1)*(m + 1)
Let x(a) = 6*a - 35. Let g be x(-7). Let v be 10/(-15) + (4 - g/(-24)). Find j such that 0 - 1/8*j**2 - v*j = 0.
-1, 0
Let y = 923/310 + -135/62. Let 6/5 - y*s - 2/5*s**2 = 0. What is s?
-3, 1
Let q(d) be the first derivative of -4*d**5/5 + 8*d**4 - 8*d**3 - 16*d**2 + 28*d - 745. What is u in q(u) = 0?
-1, 1, 7
Let 116/7*l**4 + 4/7*l**5 + 2344/7*l**2 + 2132/7*l + 1000/7*l**3 + 676/7 = 0. Calculate l.
-13, -1
Let f(h) = 4*h**2 - 212*h - 62. Let w(r) = 15*r**2 - 847*r - 248. Let k(j) = 26*f(j) - 6*w(j). Solve k(s) = 0.
-2/7, 31
Let s(g) = -2*g**2 - 4*g - 8. Let d(j) be the second derivative of -j**4/6 - j**3/2 - 4*j**2 + 12*j. Let y(z) = -4*d(z) + 5*s(z). Suppose y(h) = 0. What is h?
-2
Let i(w) = w**3 - 3*w**2 + 2*w + 6. Let u(m) = 2*m**3 - 5*m**2 + 4*m + 11. Let y(d) = 11*i(d) - 6*u(d). What is r in y(r) = 0?
-2, -1, 0
Let q(z) = 8*z**2 - 36*z + 170. Let j(f) = f**2 - 4*f + 19. Suppose 57 + 3 = 10*v. Let a(t) = v*q(t) - 52*j(t). Solve a(p) = 0.
-4, 2
Let x be (-1 - -11)/((-4)/(-2)). Let a be (x - -2) + 0 - 3. Determine f, given that -3*f**2 + 0*f**2 + f**3 - a*f**3 = 0.
-1, 0
Let u(m) = -19*m**3 + 47*m**2 - 52*m + 8. Let q(w) = 64*w**2 - 39*w**3 + 49*w**2 - 105*w - 20*w**2 + 15. Let c(z) = 4*q(z) - 9*u(z). Factor c(v).
3*(v - 2)*(v - 1)*(5*v - 2)
Factor -20*x**2 - 1523*x + 5*x**3 + 1523*x.
5*x**2*(x - 4)
Let i(q) be the second derivative of 0 - 1/15*q**3 + 6*q + 1/30*q**4 - 2/5*q**2. Factor i(o).
2*(o - 2)*(o + 1)/5
Let a(w) be the first derivative of -1/12*w**6 + 0*w**2 + 2/5*w**5 + 0*w + 11/8*w**4 - 51 + w**3. Let a(s) = 0. What is s?
-1, 0, 6
Factor 332/7*m**3 + 0*m**2 + 2/7*m**4 + 0*m + 0.
2*m**3*(m + 166)/7
Let i(n) be the second derivative of n**9/15120 - n**7/2520 + 11*n**4/12 + 20*n. Let z(u) be the third derivative of i(u). Solve z(w) = 0.
-1, 0, 1
Factor 361/8*j**3 - 17*j**4 - 225/8*j**2 - 27/8 - 189/8*j + 2*j**5.
(j - 3)**3*(4*j + 1)**2/8
Factor 104/7 + 8/7*a**2 + 212/7*a.
4*(a + 26)*(2*a + 1)/7
Let 18 - 5*d**3 + 3*d - 19*d**2 + 2*d**3 + 3*d**4 - 25*d**2 + 23*d**2 = 0. Calculate d.
-2, -1, 1, 3
Let p(q) = -q**2 - 12*q + 19. Let r(m) = -12*m + 21. Let k(b) = -3*p(b) + 2*r(b). Factor k(l).
3*(l - 1)*(l + 5)
Let b(u) be the third derivative of u**5/12 + 5*u**4/12 - 5*u**3/2 - 332*u**2. Factor b(q).
5*(q - 1)*(q + 3)
Let j(l) be the third derivative of l**9/15120 - l**8/6720 - l**7/2520 + l**6/720 + 5*l**4/8 - 8*l**2. Let i(f) be the second derivative of j(f). Factor i(n).
n*(n - 1)**2*(n + 1)
Let q be (2 + 1 - 3) + -1. Let y be 0*(q - (2 + -2)). Factor -7*g + 3*g**2 + y*g**3 - g**3 + 4*g**3 + g.
3*g*(g - 1)*(g + 2)
Let t(w) = w**3 + 2*w**2 - 7*w + 6. Let u be t(-4). Factor -5*k**u + 3*k**2 + 31*k + 14 - 19*k.
-2*(k - 7)*(k + 1)
Factor -30*y**2 + 312*y - 4056/5.
-6*(5*y - 26)**2/5
Let m be ((-16)/(-5))/(18/135). Factor m*g**3 + 2763*g**2 - 2779*g**2 - 16*g**4 + 3*g**5 + 4*g + g**5.
4*g*(g - 1)**4
Let v = -4779 - -4781. Factor 27/5*l**v + 0 - 6/5*l.
3*l*(9*l - 2)/5
Find r such that 11*r**3 + 25*r + 24*r**2 + 14*r - 3*r - 3*r**4 - 14*r**3 = 0.
-2, 0, 3
Let m be 10*(12 - 230/20). Factor -3/7*t**3 - 1/7*t**2 - 1/7*t**m - 3/7*t**4 + 0*t + 0.
-t**2*(t + 1)**3/7
Let i = 20493 + -20491. Suppose 4/11 - 14/11*n + 2/11*n**4 + 18/11*n**i - 10/11*n**3 = 0. What is n?
1, 2
Factor -2*u + 5*u**2 + 80 + 9*u - 64*u - 28*u.
5*(u - 16)*(u - 1)
Let w be 5/((-800)/632) - -4. Let y(t) be the third derivative of -1/30*t**5 + 0*t + 5/36*t**4 + 0 - w*t**6 - 1/9*t**3 + 4*t**2. Find l such that y(l) = 0.
-1, 1/3
Let y(j) = 3*j**4 - 5*j**3 - 4*j**2 + j - 5. Let z(v) = 3*v**4 - 6*v**3 - 3*v**2 - 6. Let h(t) = 6*y(t) - 5*z(t). Determine c, given that h(c) = 0.
-2, 0, 1
Let h(s) be the third derivative of -s**6/60 + s**5/6 - s**4/2 + 107*s**2 + s. Find w such that h(w) = 0.
0, 2, 3
Let i(w) = -w**2 + 13. Let f be i(0). Determine t so that 6 - 1 + f*t**2 + 2*t**2 - 8*t - 12*t = 0.
1/3, 1
Let r be (-1)/(4/(-24)) - 0. What is s in -r*s**3 - 9*s**2 + 7*s**2 + s**3 = 0?
-2/5, 0
Let u(i) be the second | {
"pile_set_name": "DM Mathematics"
} |
-1162955, -1162945?
a**2 + a - 1162975
What is the m'th term of -230592, -461174, -691756, -922338, -1152920, -1383502?
-230582*m - 10
What is the j'th term of -1212, -1252, -1314, -1392, -1480?
j**3 - 17*j**2 + 4*j - 1200
What is the o'th term of -11999, -24256, -36511, -48764?
o**2 - 12260*o + 260
What is the c'th term of 12007, 11977, 11945, 11911, 11875, 11837?
-c**2 - 27*c + 12035
What is the j'th term of -3080, -11727, -26132, -46289, -72192, -103835, -141212, -184317?
j**3 - 2885*j**2 + j - 197
What is the h'th term of -231, -473, -715?
-242*h + 11
What is the i'th term of 8562, 17120, 25676, 34230, 42782?
-i**2 + 8561*i + 2
What is the g'th term of -165635, -662534, -1490701, -2650136, -4140839, -5962810?
-165634*g**2 + 3*g - 4
What is the g'th term of -6224527, -6224528, -6224529?
-g - 6224526
What is the k'th term of -446, -877, -1310, -1745, -2182?
-k**2 - 428*k - 17
What is the g'th term of -6294, -6415, -6536, -6657, -6778?
-121*g - 6173
What is the u'th term of 387, 1261, 2693, 4665, 7159, 10157?
-3*u**3 + 297*u**2 + 4*u + 89
What is the n'th term of 285, 1156, 2607, 4626, 7201?
-2*n**3 + 302*n**2 - 21*n + 6
What is the l'th term of 4514, 9029, 13544, 18059, 22574, 27089?
4515*l - 1
What is the b'th term of 336, 619, 902?
283*b + 53
What is the a'th term of -857, -922, -1017, -1136, -1273, -1422, -1577?
a**3 - 21*a**2 - 9*a - 828
What is the j'th term of 11596, 23187, 34778, 46369?
11591*j + 5
What is the n'th term of -120452, -240902, -361352?
-120450*n - 2
What is the s'th term of -1041, -1635, -2229, -2823, -3417, -4011?
-594*s - 447
What is the k'th term of -7940, -7971, -8000, -8027?
k**2 - 34*k - 7907
What is the s'th term of 1021, 1009, 1011, 1033, 1081, 1161?
s**3 + s**2 - 22*s + 1041
What is the p'th term of 698, 2212, 4736, 8270, 12814, 18368, 24932?
505*p**2 - p + 194
What is the w'th term of 428, 259, 90, -79, -248, -417?
-169*w + 597
What is the x'th term of 2647, 5396, 8147, 10900?
x**2 + 2746*x - 100
What is the l'th term of -115, -147, -179, -211?
-32*l - 83
What is the k'th term of -942630, -1885252, -2827872, -3770490?
k**2 - 942625*k - 6
What is the l'th term of 1548, 3095, 4634, 6165, 7688?
-4*l**2 + 1559*l - 7
What is the l'th term of 1265, 1626, 2617, 4556, 7761, 12550, 19241, 28152?
53*l**3 - 3*l**2 - l + 1216
What is the f'th term of 2363508, 4727016, 7090524, 9454032, 11817540?
2363508*f
What is the u'th term of -7776, -7298, -6820, -6342, -5864?
478*u - 8254
What is the n'th term of -1013, -4014, -9007, -15986, -24945, -35878, -48779, -63642?
n**3 - 1002*n**2 - 2*n - 10
What is the j'th term of 435, 319, 125, -147?
-39*j**2 + j + 473
What is the h'th term of -52, -169, -324, -535, -820, -1197, -1684?
-3*h**3 - h**2 - 93*h + 45
What is the p'th term of 1016, 1638, 2258, 2876, 3492, 4106?
-p**2 + 625*p + 392
What is the o'th term of 1224, 2206, 3172, 4116, 5032, 5914, 6756, 7552?
-o**3 - 2*o**2 + 995*o + 232
What is the a'th term of -21291, -42423, -63553, -84681, -105807?
a**2 - 21135*a - 157
What is the k'th term of 301, 738, 1367, 2284, 3585?
16*k**3 + 325*k - 40
What is the i'th term of -2840, -5675, -8514, -11357?
-2*i**2 - 2829*i - 9
What is the x'th term of 577, 1073, 1449, 1645, 1601, 1257, 553?
-10*x**3 + 566*x + 21
What is the v'th term of 16599, 16642, 16685, 16728?
43*v + 16556
What is the m'th term of -685, -688, -679, -646, -577, -460, -283, -34?
2*m**3 - 6*m**2 + m - 682
What is the g'th term of 161, 629, 1409, 2501, 3905, 5621, 7649?
156*g**2 + 5
What is the i'th term of 12, 230, 834, 2016, 3968, 6882, 10950, 16364?
32*i**3 + i**2 - 9*i - 12
What is the a'th term of 83765, 167538, 251311, 335084, 418857?
83773*a - 8
What is the o'th term of -714, -1459, -2204, -2949, -3694, -4439?
-745*o + 31
What is the k'th term of -504, -904, -1304?
-400*k - 104
What is the b'th term of -5143, -5150, -5167, -5200, -5255, -5338, -5455, -5612?
-b**3 + b**2 - 3*b - 5140
What is the o'th term of 8094, 8091, 8088, 8085, 8082?
-3*o + 8097
What is the g'th term of 1169183, 2338365, 3507547, 4676729?
1169182*g + 1
What is the k'th term of 16766, 16747, 16724, 16697?
-2*k**2 - 13*k + 16781
What is the p'th term of -134, -233, -262, -185, 34, 431?
6*p**3 - p**2 - 138*p - 1
What is the a'th term of 59, 106, 155, 206, 259, 314?
a**2 + 44*a + 14
What is the v'th term of -69, -54, -35, -12, 15, 46?
2*v**2 + 9*v - 80
What is the j'th term of -610, -1223, -1832, -2437, -3038, -3635?
2*j**2 - 619*j + 7
What is the l'th term of -21, -14, 37, 156, 367, 694?
4*l**3 - 2*l**2 - 15*l - 8
What is the x'th term of 5636, 11206, 16776?
5570*x + 66
What is the s'th term of -37022, -37023, -37026, -37031, -37038, -37047, -37058?
-s**2 + 2*s - 37023
What is the y'th term of 140203, 140210, 140213, 140206, 140183, 140138, 140065, 139958?
-y**3 + 4*y**2 + 2*y + 140198
What is the b'th term of -12, -17, -22?
-5*b - 7
What is the u'th term of 11296883, 11296880, 11296875, 11296868?
-u**2 + 11296884
What is the j'th term of -786, -1574, -2364, -3156, -3950, -4746?
-j**2 - 785*j
What is the j'th term of 186348, 186360, 186374, 186390?
j**2 + 9*j + 186338
What is the q'th term of -3649, -3874, -4099, -4324, -4549?
-225*q - 3424
What is the i'th term of -1991, -3976, -5961, -7946, -9931, -11916?
-1985*i - 6
What is the c'th term of -837, -3917, -9237, -16797, -26597, -38637, -52917?
-1120*c**2 + 280*c + 3
What is the w'th term of -8553, -8512, -8445, -8352, -8233, -8088?
13*w**2 + 2*w - 8568
What is the v'th term of -1519, 0, 1519, 3038, 4557, 6076?
1519*v - 3038
What is the y'th term of 1028, 2065, 3112, 4175, 5260, 6373?
y**3 - y**2 + 1033*y - 5
What is the z'th term of 1254, 1310, 1366, 1422?
56*z + 1198
What is the a'th term of 3323, 6635, 9939, 13235?
-4*a**2 + 3324*a + 3
What is the m'th term of -5369, -10762, -16179, -21632, -27133?
-2*m**3 - 5379*m + 12
What is the t'th term of -279, -2020, -6571, -15282, -29503?
-225*t**3 - 55*t**2 - t + 2
What is the u'th term of 187, 566, 1203, 2104, 3275, 4722, 6451?
u**3 + 123*u**2 + 3*u + 60
What is the s'th term of -56997, -56995, -56993, -56991, -56989?
2*s - 56999
What is the p'th term of -2360, -2366, -2376, -2390?
-2*p**2 - 2358
What is the b'th term of 5228, 5218, 5198, 5162, 5104, 5018, 4898?
-b**3 + b**2 - 6*b + 5234
What is the m'th term of -36103, -36106, -36109?
-3*m - 36100
What is the o'th term of -54, -58, -16, 72, 206, 386, 612?
23*o**2 - 73*o - 4
What is the t'th term of 2840, 5685, 8530, 11375, 14220?
2845*t - 5
What is the g'th term of 18838, 37675, 56524, 75391, 94282, 113203, 132160, 151159?
g**3 + 18830*g + 7
What is the h'th term of -42296, -84587, -126876, -169163?
h**2 - 42294*h - 3
What is the u'th term of 81, 140, 185, 216?
-7*u**2 + 80*u + 8
What is the p'th term of -9950, -79529, -268354, -636047, -1242230, -2146525?
-9937*p**3 - p**2 - 17*p + 5
What is the x'th term of 31210, 31196, 31182, 31168?
-14*x + 31224
What is the g'th term of -8837, -17675, -26513?
-8838*g + 1
What is the f'th term of -4500, -18062, -40670, -72324?
-4523*f**2 + 7*f + 16
What is the f'th term of 9506, 9444, 9382, 9320?
-62*f + 9568
What is the a'th term of 1476, 5862, 13180, 23436, 36636?
a**3 + 1460*a**2 - a + 16
What is the i'th term of 170870, 341743, 512616, 683489?
170873*i - 3
What is the g'th term of -1, -111, -103, 83, 507, 1229, 2309, 3807?
10*g**3 - g**2 - 177*g + 167
What is the s'th term of 711, 724, 735, 744, 751, 756?
-s**2 + 16*s + 696
What is the u'th term of 4459, 8922, 13397, 17890, 22407, 26954, 31537, 36162?
u**3 + 4456*u + 2
What is the i'th term of -239, -163, -87, -11, 65?
76*i - 315
What is the j'th term of 102956, 103031, 103156, 103331, 103556, 103831?
25*j**2 + 102931
What is the p'th term of -4249, -16991, -38227, -67957, -106181?
-4247*p**2 - p - 1
What is the a'th term of 271, 1808, 4605, 8662, 13979?
630*a**2 - 353*a - 6
What is the s'th term of 2743, 2742, 2733, 2710, 2667?
-s**3 + 2*s**2 + 2742
What is the o'th term of 1383, 2826, 4269, 5712?
1443*o - 60
What is the n'th term of -326, -1278, -2852, -5048, -7866, -11306?
-311*n**2 - 19*n + 4
What is the r'th term of 54388, 54395, 54408, 54427, 54452?
3*r**2 - 2*r + 54387
What is the l'th term of 1259, 1171, 1025, 821, 559, 239, -139?
-29*l**2 - l + 1289
What is the b'th term of -405, -1701, -3851, -6849, | {
"pile_set_name": "DM Mathematics"
} |
1 + r + 1 - 90*r - 78*r + 63*r)*(5 - 4 + 1 + (3 - 1 - 1)*(-2 - 2 + 2) - 2 + 0 + 1).
102*r
Expand (103*k**3 - 158*k**2 - 27*k**2 - 101*k**3 - 2*k)*(4 - 4 + 2*k + (2 - 3*k - 2)*(-5 + 0 + 4)).
10*k**4 - 925*k**3 - 10*k**2
Expand (-2*x**3 + x**3 + 8*x**3)*(0*x + 0*x - 2*x) + x**4 - x**4 - 3*x**4.
-17*x**4
Expand (-1 + 0 - 7)*(-22*p**2 + 19*p**2 + 19*p**2).
-128*p**2
Expand (6*q + 13500 - 13500)*(0 + 0 - 4)*(-2 + 1 + 2).
-24*q
Expand (6 + 3 - 5)*(5*p**2 + 2*p**2 - 6*p**2 - 3 - 2*p).
4*p**2 - 8*p - 12
Expand -2 + 2 - 2*g**5 + (-g**4 + 5*g**3 - 5*g**3)*(-g - g + 4*g) - 134*g**2 + 8*g**5 - 9*g**3 + 134*g**2.
4*g**5 - 9*g**3
Expand (-3 + 6 + 1)*(-31*l**2 - 15*l**3 + 31*l**2).
-60*l**3
Expand (13 + 5 - 5 + 1 - 1 + 1 + (2 + 2 - 3)*(2 - 3 + 0))*((8*k**2 - 30 + 30)*(2*k**2 - 4*k**2 - k**2) + k**4 - 2 + 2).
-299*k**4
Expand (-2*s - 2 + 2)*(-29 + 29 - 9*s) - 4*s**2 + 4*s**2 - 2*s**2 + 2*s**2 + 3*s**2 - 6*s**2.
15*s**2
Expand (-2 + 2 + 2*j)*(6 - 6 + 2*j)*(9*j - 6*j + 6*j).
36*j**3
Expand 24 - 24 + 2*s + (4 - 4 - 1)*(-3*s + 4*s - 2*s) + s - 9*s + s.
-4*s
Expand (-1 + 5*m + 4*m - m)*(m**2 + 4*m**3 - 6*m**2 + 6*m**2).
32*m**4 + 4*m**3 - m**2
Expand (-34 - 15 + 18)*(-l + 0 + 0 + (-2 + 2 - 2)*(-3*l + 3*l - l)).
-31*l
Expand (c - 12 - 13 - 2*c)*(0 - 2 - 1)*(1 + 9 - 1).
27*c + 675
Expand (i - 2*i + 2*i)*((-1 - 2 + 6)*(2 + 3*i - 2) + i - 2*i + 3*i)*(56 - 34 + 2)*(-1 - 2 + 1).
-528*i**2
Expand (18*j**3 - 25*j**3 - 10*j**3 - 2*j**3 + 2*j**3 + j**3 + j**3 - j**3 - j**3 + (2*j + j**2 - 2*j)*(2*j + 0 + 0) + 9*j**3 - 11*j**3 + 10*j**3)*(3 + 1 - 5).
7*j**3
Expand (-2*m + 3*m + 0*m)*(25*m - 47*m + 31*m).
9*m**2
Expand 14*z**4 - 18*z**4 + 11*z**3 - 10*z**3 + (-3*z**2 + 3*z**2 - 2*z**2)*(-z**2 + z**2 + 2*z**2).
-8*z**4 + z**3
Expand (-t - t + 0*t)*(-196*t**3 + 1503*t**2 - 1503*t**2).
392*t**4
Expand -2*w**5 - 12 + 12 + (3*w - 5*w + 0*w)*(84*w**4 - 41*w**4 + 55*w - 41*w**4).
-6*w**5 - 110*w**2
Expand (r**5 - 2*r**5 + 2*r**5)*(-3 + 0 + 0) + (3 + 2 - 1)*(2*r**5 - r**5 - 3*r**5).
-11*r**5
Expand (10 + 1 + 5*n - 2*n)*(9*n**3 + 5*n**3 + n**3)*(-3 + 3 - 2).
-90*n**4 - 330*n**3
Expand (a + 3*a - 2*a)*(-2 - 7*a + 2 + 5*a - 2*a - 4*a + (-1 + 2 - 2)*(a - 2 + 2)).
-18*a**2
Expand (-4*g**3 + 7*g**3 + g**3 - g)*(-5*g - 3*g - 58*g).
-264*g**4 + 66*g**2
Expand -4*u + 31 - u - 31 + (-14 + 2 - 5)*(3*u + u - 3*u).
-22*u
Expand 186*u**3 - 10*u**3 + 227*u**3 + (2*u**2 + u**2 - 4*u**2)*(-1 - u + 1).
404*u**3
Expand (-m**3 + 2*m**3 + m**3)*(3*m + 5*m - 5*m)*(-4*m + 3*m + 2*m) + (-m**2 + 5*m**2 - 3*m**2)*(31*m**3 + 31*m**3 - 8*m**3).
60*m**5
Expand (-11 + 188 + 74)*(3*u - 2*u + u).
502*u
Expand (0 + p + 0)*(-2*p**3 + p**3 - 483*p**4 + 99 - 97).
-483*p**5 - p**4 + 2*p
Expand (-176 - 74*z**3 + 176 - 2*z**4)*(-2 - 3*z + 8*z + z).
-12*z**5 - 440*z**4 + 148*z**3
Expand (-g + 0*g + 3*g)*(-6 + 0 + 0)*(285 - 68 - 131).
-1032*g
Expand -87 + 11*t + 87 + (-t + 0*t + 0*t)*(-3 - 1 + 8).
7*t
Expand 2*w**3 + 0*w**3 - w**3 + (-3*w + 2 + 1 - 1)*(12*w**2 - 18*w**2 - 12*w**2).
55*w**3 - 36*w**2
Expand 5*g**2 + 4 - 4 + 6*g**2 - g**2 - 3*g**2 + (-6 + 4 - 5)*(-2*g + 2*g + 4*g**2).
-21*g**2
Expand (5*z**3 + 3*z**3 - 7*z**3)*(-37*z**2 + 67*z**2 - 37*z**2 + 1 - 2*z**2 - 1 + (1 + 2*z - 1)*(6*z - z - 3*z)).
-5*z**5
Expand (-6 + 70 + 10)*(2*c**3 + 4*c**4 - 5*c**4 - 3*c**4).
-296*c**4 + 148*c**3
Expand 0*n**2 - 2*n**2 + 4*n**2 + (n + 0*n - 3*n)*(-2*n - 3 + 3) + (-4*n - 11*n + n)*(2*n + 0*n + n) + 4*n**2 + 3*n**2 - 5*n**2.
-34*n**2
Expand (5*i**2 + 12*i + 47*i**5 - 3*i**2 - 78*i**5)*(2 - 1 + 1).
-62*i**5 + 4*i**2 + 24*i
Expand (18 + 11 + 14)*(-2*q + 5*q - 2*q).
43*q
Expand (3 - 1 + 0)*(-41 + 148 - 29*n - 67).
-58*n + 80
Expand -f + 0*f**2 + 53 - 4*f**2 - 55 + (2*f + f - 2*f)*(0*f - f + 4*f).
-f**2 - f - 2
Expand (-4*s**2 + 4*s**2 - s**2)*(-36*s**2 + 170*s**2 + 67*s - 68*s).
-134*s**4 + s**3
Expand (-111*z + 94*z + 72*z)*(-z + 4*z - 2*z)*(-5 + 2 + 1).
-110*z**2
Expand -3*t**5 - t**3 + t**3 + (3*t + 4*t - t)*(-3*t**4 + 7*t**4 - 3*t**2 - 3*t**4).
3*t**5 - 18*t**3
Expand -3*j**5 + 3*j**5 + j**5 + (-j**5 + 3*j**5 - 3*j**5)*(8 + 2 + 2).
-11*j**5
Expand 5*y + 1 - 3 + 3 + (26*y + 43*y - 2 + 2*y)*(-5 + 1 + 5).
76*y - 1
Expand (5*q + 3*q**3 - 5*q)*(3*q - 4*q + 3*q) + 7*q**4 + q**4 + 61*q**4.
75*q**4
Expand -27607*p**2 + 0*p**3 + 27542*p**2 + p**3 + (-1 + 2*p + 1)*(0*p**2 + 0*p**2 - 2*p**2).
-3*p**3 - 65*p**2
Expand (-3*s - s**2 + 3*s)*(528*s - 4 + 9*s**2 + 2 - 530*s).
-9*s**4 + 2*s**3 + 2*s**2
Expand -v**4 - 2*v**4 + v**4 + (-52 + 160 - 56)*(-v**4 - v**3 + v**3 + 2*v**3).
-54*v**4 + 104*v**3
Expand 14 + 22*u**3 - 39 + 23 + (2*u + u - 2*u)*(u**2 + u - u) + 2*u**3 + 2*u**3 - 2*u**3.
25*u**3 - 2
Expand (6*w**3 - 3*w**3 + 2*w**3)*(9*w - 5*w + 6*w) + 10*w**4 + 0*w**4 - w**4.
59*w**4
Expand -2*g**4 - g**4 + 2*g**4 + 6*g**4 - 3*g**4 - 2*g**4 + (-2*g**3 + 3*g**3 + g**3)*(-2*g + g + 0*g) + (2 - 3 + 2)*(-2*g**4 - g**4 + 4*g**4).
-g**4
Expand (5*r**2 - 4*r**2 + 0*r**2)*((1 - 1 - r)*(r + r - 4*r) + 3*r**2 - 9 + 9).
5*r**4
Expand (3*s**3 + s**3 - s**3)*(3*s**2 - 4*s**2 + 3*s**2) + 21*s**4 + 32*s**4 + 97*s**5 + 2*s**3 - 53*s**4.
103*s**5 + 2*s**3
Expand (3 - 3 - 2*d**4)*(7 + 7 - 3)*(-26*d + 53 - 53).
572*d**5
Expand k + 2*k - 6*k - k + k + 2*k + (-3 + 1 + 4)*(-3*k + 3*k - 2*k) + (60 - 85 + 70)*(0*k + 2*k - 3*k).
-50*k
Expand (2 - 2 - 2*u**3)*(5 + 16 - 9) + (1 - 2 + 2)*(-3*u**3 + 4*u**3 - 3*u**3).
-26*u**3
Expand (196*d**3 + 182*d**3 + 320*d**3 + 55*d**3)*(-2*d**2 + d**2 - d**2).
-1506*d**5
Expand (5 + 11 - 8)*(73*h + 53 - 53).
584*h
Expand (-76 + 37 + 42)*(-6*n + 2*n + 3*n)*(4*n**3 + 0*n**3 + 4*n**3).
-24*n**4
Expand (-1 + 1 + k)*(2 + 0 - 1)*(-6 - 12 - 46)*(-1 + 1 - 2).
128*k
Expand (k - 2*k**2 - k)*(173 - 89 - 76 + 26*k).
-52*k**3 - 16*k**2
Expand 187 - 187 - 302*z + (0*z - 2*z + 4*z)*(1 - 1 + 1).
-300*z
Expand -r + r - 19*r + 4*r - 4*r - 2*r + (3 - 1 + 0)*(-1 - r + 1).
-23*r
Expand -o**4 - o + o + (o**3 - 2*o**3 - 2*o**3)*(368*o - 179*o - 180*o).
-28*o**4
Expand (-110 + 27*x + 110)*(2*x - x - 2*x)*(x - x + x) - 6*x + 6*x + 6*x**3.
-21*x**3
Expand (0*o - 5*o + 0*o)*(-13 + 18 - 48) + (0 + 0 + 1)*((-2 + 2 + 1)*(4*o - 3*o - 3*o) - o - o + 0*o).
211*o
Expand w + 1 - 1 - w + 0*w - w + 2*w + 4 - 4 + (-2 + 2 + 1)*(-3*w + 3*w - w) + 32*w + 56*w + 47*w.
135*w
Expand (0*k + k - 3*k)*(-4 + 31*k + 36*k**2 - 31*k).
-72*k**3 + 8*k
Expand 333*m + 330*m - 651*m + m**3 + (5*m**2 - m**2 - 2*m**2)*(m + 2*m - 4*m).
-m**3 + 12*m
Expand (1 - 4 + 4)*(2 + f - 2) + 3 - 2*f - 3 + 2 - 2 - 7*f + 0 - 3*f + 0 + (-2*f + 0*f + 3*f)*(-2 + 6 - 2) - 1 + 1 + 3*f.
-6*f
Expand (-3*y + 8*y - 2*y)*(-3*y**3 + 0*y**3 - 5*y**3) - 2*y**4 + 3*y**4 + 0*y**4.
-23*y**4
Expand (p**3 - p**3 - p**3)*(p**2 - 4*p**2 + 2*p**2) + 2*p**4 - 2*p**4 + p**5 + 3*p**5 + 5*p**5 - 5*p**5.
5*p**5
Expand -29590*i - 1417*i**3 + 29590*i + (-2 + 2 + 2)*(3*i**2 + 2*i**3 - 3*i**2).
-1413*i**3
Expand (-56*y + 56*y + 66*y**2)*(-y**2 - 2*y**2 + y**2 + (-2*y + 5*y - 2*y)*(y - 2 + 2)).
-66*y**4
Expand ((4 - 5 - 2)*(-3*w - 1 + 1) + (4 + 0 - 5)*(14*w + w - 5*w))*(1 + 3 - 3).
-w
Expand (s - 2*s**2 - s)*(5*s + 0*s - 3*s) + (-2*s + 0 + 0 + (3*s + 0*s + 3*s)*(1 + 3 - 5))*(0*s**2 + 11*s**2 - 6*s**2).
-44*s**3
Expand 2*f**5 + 4*f - 4*f + (-2 - f**3 + 2)*(f**2 + 0 + 0) - 11*f**5 - 8*f**5 - 7*f**5 + (-3*f + 2*f + 0*f)*(-f**3 + f**3 + 2*f**4).
-27*f**5
Expand (14 - 15 - 9)*(-4*v**2 + 5*v**2 + 4*v**2)*(0 + 0 - 2*v**2).
100*v**4
Expand (0 - 6 - l + 3)*(2*l**2 - 3*l**2 + 4*l**2 + (2*l + 2*l - 3*l)*(-3*l + 0*l - l))*(1 - 1 - 2).
-2*l**3 - 6*l**2
Expand o - 2 + 2 + (-4 + 4 - 1)*(37*o + 8*o + 35*o).
-79*o
Expand 2*r**3 + 2*r**3 - 2*r**3 + (4 - 3*r - 4)*(0 + 0 - 2*r**2) - 12*r**3 - 14*r**3 + r**3 - r.
-17*r**3 - r
Expand (4*h**2 + 6*h - 6*h)*(-1 + 0 + 3)*(1 + 0 + 1)*(13*h**2 - 66 + 66).
208*h**4
Expand (a**3 - 4*a**3 - 3*a**3)*(30 + 32*a - 30) - 4*a**4 - 4*a**4 + 6*a**4.
-194*a**4
Expand -3*i**5 - 2 + 2 + (-2*i**5 - 2*i**5 + 3*i**5)*(3 - 5 + 3) + 11*i**5 + 3*i - 3*i + 4*i**5 - 2*i**5 + 0*i**5.
9*i**5
Expand (2*i**2 + 4*i - 4*i)*(3*i + i - 5*i)*(152*i**2 + 138*i**2 - 114*i**2).
-352*i**5
Expand (3*x**3 - 4*x**3 + 2*x**3)*(3*x + 0*x - 4*x) + (0*x**2 - x**2 + 0*x**2)*(5*x**2 + 21 - 21) + (-x**3 + 0*x**3 + 2*x**3)*(-x + 3 - 3).
-7*x**4
Expand (-3 + 0 + 8)*(-f - 4 + 4)*(-3 - 2 - 4) - f - 3*f + 5*f.
46*f
Expand (-4 + 4 - m)*(-3 + 3 - 2) + 6*m - | {
"pile_set_name": "DM Mathematics"
} |
vative of u(y) wrt y.
-718
Let f(m) be the first derivative of -2*m**3 + 3*m**2/2 + 92*m - 36. Differentiate f(t) wrt t.
-12*t + 3
Let n(q) be the first derivative of 41*q**5/5 + 24*q**3 + 2. What is the third derivative of n(y) wrt y?
984*y
Find the third derivative of -24*u**6 + 23*u**2 + 2*u**6 - 66*u**2 - 43*u**2 wrt u.
-2640*u**3
Let f(j) = -j**2 - 5*j - 2. Let q be f(-3). Suppose -2*n = -q*g + 16, 3*n - 1 - 5 = g. Find the first derivative of 0 + 5 + 1 + g*r**2 wrt r.
12*r
Suppose -4*p + 18 = 5*r - 2*p, r + 2*p = 2. Suppose -r = i, -6*i + 2*i - 41 = -5*q. Find the second derivative of 2*o + 5*o**5 + 5*o - 4*o**q + 3*o**5 wrt o.
80*o**3
Let f(b) be the second derivative of -151*b**3/6 + 37*b**2/2 - 4*b - 2. Find the first derivative of f(a) wrt a.
-151
Let f = 98 + -54. Find the first derivative of -25*l - 25*l - 6 + f*l wrt l.
-6
Let z(o) = -99*o**2 + 46*o - 3. Let i(x) = -x - 1. Let r(f) = 3*i(f) - z(f). What is the second derivative of r(k) wrt k?
198
What is the first derivative of w**2 + 3*w - 78*w - 141*w - 773 - 25*w + 40*w wrt w?
2*w - 201
What is the second derivative of -61*z**4 - 57*z**4 + 15*z**5 - 52*z**4 + 170*z**4 - 134*z wrt z?
300*z**3
Let c(t) = 139*t**3 - 13*t**2 - 11. Let y(j) = 46*j**3 - 4*j**2 - 3. Let a(o) = 2*c(o) - 7*y(o). Find the first derivative of a(d) wrt d.
-132*d**2 + 4*d
Let f(t) be the first derivative of -3*t**6/40 + 3*t**4/4 + 14*t**2 + 7. Let s(j) be the second derivative of f(j). What is the second derivative of s(l) wrt l?
-54*l
Let r(t) be the third derivative of 23*t**6/120 + t**5/60 - 11*t**4/24 - t**3/3 - 2*t**2 - 3. Find the second derivative of r(l) wrt l.
138*l + 2
Let m(u) be the second derivative of -31*u**4/6 - 150*u**2 + 21*u + 12. Differentiate m(t) wrt t.
-124*t
Let c = 0 - -8. Suppose 0 = 6*q - 2*q - c. What is the third derivative of 2*m**4 - 4*m**4 + 3*m**q - 2*m**4 + 2*m**2 wrt m?
-96*m
Suppose -2*w = -5*w + 60. Find the third derivative of -2*p**3 - 47 + w*p**3 + 47 + 8*p**2 wrt p.
108
Let n(y) be the second derivative of -5*y**6/6 + y**3/6 + 225*y**2/2 + 69*y. What is the first derivative of n(b) wrt b?
-100*b**3 + 1
Let a(m) = -m**3 - m**2 + 1. Let f(u) = 25*u**3 + u**2 + 186*u - 2. Let i(p) = -2*a(p) - f(p). What is the third derivative of i(o) wrt o?
-138
What is the first derivative of 57 - 7*p + 3*p**4 + 3*p + 154 + 35 wrt p?
12*p**3 - 4
Let l(v) be the first derivative of v**3/3 + 11*v**2/2 + 8*v + 18. Let r(z) be the first derivative of l(z). Find the first derivative of r(n) wrt n.
2
Let j be ((-6)/4)/((-6)/48). Let a = -6 + j. Find the third derivative of 147 - 147 - 4*t**4 - 2*t**2 + a*t**2 wrt t.
-96*t
Let j(t) be the second derivative of -t**9/3024 - t**6/45 - t**3/2 - 6*t. Let x(g) be the second derivative of j(g). What is the third derivative of x(h) wrt h?
-60*h**2
Let y(i) be the first derivative of 425*i**6/6 + 14*i**3 + 2*i + 401. Find the third derivative of y(p) wrt p.
25500*p**2
Let g be 16/(-28) - (-36)/14. Find the third derivative of 17*w**2 + w**3 - 11*w**g - 21*w**2 wrt w.
6
What is the second derivative of -62*y + 2 + 113*y + 2*y**5 + 2*y**4 - 51*y - 31*y wrt y?
40*y**3 + 24*y**2
Let f be (-8)/12 - (-52)/6. Suppose 0*v - f = -2*v. Find the second derivative of 2*j**4 - 32*j + 37*j - 7*j**4 + 0*j**v wrt j.
-60*j**2
Let n(c) be the second derivative of 537*c**5/20 - 160*c**3/3 + 650*c. What is the second derivative of n(s) wrt s?
3222*s
Let x(q) be the third derivative of -q**6/60 + 101*q**5/60 + 30*q**3 + 6*q**2 - 4*q. What is the first derivative of x(k) wrt k?
-6*k**2 + 202*k
Let b(z) be the third derivative of -241*z**5/60 + 8*z**3/3 + 194*z**2 + 1. What is the derivative of b(o) wrt o?
-482*o
Let o(c) be the second derivative of -3*c**5 - 45*c**4/4 - 7*c - 5. Find the third derivative of o(g) wrt g.
-360
Let x(n) = -n**5 + 2*n**4 - n**2 + 1. Let u(o) = -22*o**5 + 6*o**4 - o**2 - 281*o + 1. Let i(q) = -u(q) + x(q). What is the second derivative of i(h) wrt h?
420*h**3 - 48*h**2
Let f(d) = 29*d + 2. Let q be f(1). Find the third derivative of -q*b**2 + 3*b**5 - 209 + 209 wrt b.
180*b**2
Let r(y) be the second derivative of -y**6/180 - y**5/20 - 5*y**4/12 + 9*y. Let n(k) be the third derivative of r(k). Differentiate n(h) with respect to h.
-4
Let k(y) be the second derivative of 1/3*y**3 - 13/24*y**4 - 6*y**2 + 0 + 2*y. Let i(a) be the first derivative of k(a). Differentiate i(g) wrt g.
-13
Let c be ((-405)/(-36) + -9)/((-6)/(-8)). Let l(m) be the third derivative of -4*m**2 + 0*m - 1/3*m**4 - 5/6*m**c + 0. What is the derivative of l(x) wrt x?
-8
What is the derivative of -2*z**3 + 34*z + 205 + 6*z + 51 wrt z?
-6*z**2 + 40
Let t(b) = b**2 + 10*b + 23. Let w be t(-7). Find the first derivative of -10 - 23*l**2 - l**w + 29 + 0*l**2 wrt l.
-48*l
Let b(r) = r**4 - r**3 + r + 1. Let g(i) = 15*i**4 + 3*i**3 - 3*i - 164. Let y(t) = -3*b(t) - g(t). What is the derivative of y(q) wrt q?
-72*q**3
Let x(v) be the third derivative of 34*v**2 + 0*v + 0*v**4 + 0 + 0*v**5 - 2/3*v**3 - 7/40*v**6. Differentiate x(k) with respect to k.
-63*k**2
Suppose 22 = 2*y - 6. Let i be 4/y + (-80)/(-14). Find the third derivative of i*j**6 - j**5 - 5*j**2 + 0*j**5 + j**5 wrt j.
720*j**3
Let w(h) = -15*h - 128. Let j(y) = 6*y + 64. Let q(v) = -10*j(v) - 6*w(v). Find the first derivative of q(n) wrt n.
30
Let j(g) be the second derivative of 4*g**6/15 - g**3/3 + 301*g**2/2 + 119*g. Differentiate j(r) with respect to r.
32*r**3 - 2
Let h = 21 + -17. What is the third derivative of 4*d**h - 762 + 762 - 34*d**2 + 8*d**2 wrt d?
96*d
What is the second derivative of -18*s**3 - 13*s + 67*s + 9*s**2 - 12*s**2 wrt s?
-108*s - 6
Let h(f) be the third derivative of 0*f**3 - 1/20*f**5 + 9*f**2 + 11/120*f**6 + 0*f + 0 + 0*f**4. Find the third derivative of h(y) wrt y.
66
Let q(z) be the second derivative of -1/2*z**4 - 6*z + 5/3*z**3 + 0 + 0*z**2. Find the second derivative of q(m) wrt m.
-12
Let r = 10 + -6. Suppose 3*l - 7 = -7*x + 6*x, -4*l = -5*x - 22. Differentiate -10*h**4 + 9 + 10*h**4 - l*h**r with respect to h.
-12*h**3
Let o = -22 + 24. Differentiate 2 + o + 0 + 6*b + 4 wrt b.
6
Let a(u) be the third derivative of 23*u**7/105 - 20*u**3/3 - u**2 + 4. Differentiate a(q) with respect to q.
184*q**3
Let n be 24/(-16) - (-10)/4. Let u be (n - (3 + 0))*-2. Find the third derivative of -5*z**u - 163*z**2 + 14*z**4 + 153*z**2 wrt z.
216*z
Suppose -s = -4*s + 9. Suppose 0 = -0*f - f - 5*v + 7, 3*f = 3*v + s. Find the second derivative of 5*n**3 + 9*n - 2*n + f*n wrt n.
30*n
Suppose 4*j - 2137 = 3*l, -2*j = -l - 1244 + 173. What is the derivative of 259 - 5*c**3 - j + 249 wrt c?
-15*c**2
Find the second derivative of -74*y**2 - 6*y**2 + 973*y**5 + 553*y - 971*y**5 wrt y.
40*y**3 - 160
Find the second derivative of 175*c + 324*c - 100*c**4 - 62*c**4 wrt c.
-1944*c**2
Let t(a) be the first derivative of -239*a**3/3 + a**2 + 137*a - 383. Find the second derivative of t(o) wrt o.
-478
Let v(j) = -2*j**5 + j**3 + 1. Let z(b) = -2*b**5 - 2*b**3 - 11*b**2 + 34*b - 4. Let u(q) = -2*v(q) - z(q). Find the second derivative of u(p) wrt p.
120*p**3 + 22
Let m be 144/54*6/4. Find the second derivative of 2*h**m + 4*h**4 - 37*h + 21*h**4 wrt h.
324*h**2
Let r(w) be the second derivative of w**7/21 + 4*w**6/15 + 179*w**3/6 - 97*w. Find the second derivative of r(h) wrt h.
40*h**3 + 96*h**2
Suppose 3*w + 3*m = 2*m + 2, 0 = -3*w + 5*m - 10. Suppose 4*k = 4*x + 22 + 2, 4*k + 2*x = w. What is the first derivative of k - 4 + 0 - 3 - 4*a**4 wrt a?
-16*a**3
Find the third derivative of -274582*y**3 - 159*y**2 - 272*y**4 + 274582*y**3 wrt y.
-6528*y
Let y be (28/49)/((-4)/(-14)). Suppose 11 - y = 3*u. Find the third derivative of -3*g**2 - u*g**5 + 0*g**2 - 3*g**2 + 9*g**5 wrt g.
360*g**2
Let h(w) be the second derivative of -w**9/3024 + w**6/360 - 7*w**4/6 + 9*w. Let j(s) be the third derivative of h(s). Find the second derivative of j(t) wrt t.
-60*t**2
Let o(l) = -l**3 + 12*l**2 - 3*l - 7. Let x be o(6). What is the second derivative of 16*r**4 - 191*r**3 + 19*r + x*r**3 wrt r?
192*r**2
Suppose 1 = -c - f + 6, -2*c = f - 8. Let p(r) = r. Let d(g) = -11*g + 2. Let b(o) = c*d(o) + 24*p(o). What is the derivative of b(y) wrt y?
-9
Let q(y) = 152*y**2 + 225*y - 2. Let k(d) = -457*d**2 - 674*d + 7. Let o(n) = -2*k( | {
"pile_set_name": "DM Mathematics"
} |
).
3*k + 2
Let u(q) = q + 44 - 43 + 0*q. Suppose 238 = f + 5*y, -f = -5*f + 2*y + 930. Let r(o) = 11 + 11*o + 233*o**2 - f*o**2 - o**3. Give 2*r(g) - 22*u(g).
-2*g**3
Let m(d) = 7*d**3 + 2*d**2 - 4*d + 31. Let b(p) = 2*p**3 + p**2 - p + 1. Calculate 2*b(u) - m(u).
-3*u**3 + 2*u - 29
Let y(u) = 1729*u - 19. Let c(l) = -576*l + 7. Give 11*c(g) + 4*y(g).
580*g + 1
Let w(f) = -70*f - 4. Let a(n) = -47*n - 3. Determine 7*a(l) - 5*w(l).
21*l - 1
Let j = -1 + -2. Let p(y) be the third derivative of -y**6/120 + y**4/8 + 5*y**3/6 + 14*y**2. Let i(d) = -2*d**3 + 4*d + 6. What is j*i(m) + 4*p(m)?
2*m**3 + 2
Let u(c) = 5*c**3 - c**2 - 1. Let f(r) = 37*r**3 - 4*r**2 - 11*r - 4. Calculate -f(g) + 4*u(g).
-17*g**3 + 11*g
Let o(r) = 430218 - 5*r**3 - 4*r + 2*r - 430218 + 7*r**2. Let j(z) = 0*z**3 + z**3 - z**2 + 0*z**3. Give -4*j(i) - o(i).
i**3 - 3*i**2 + 2*i
Let p(w) = -12*w**2 - 6*w - 9. Suppose -k = 9*k + 70. Let x(g) = 11*g**2 + 5*g + 8. Determine k*x(s) - 6*p(s).
-5*s**2 + s - 2
Let q(w) = 0 - 2 - 301*w + 300*w + 1. Let a(p) = -7*p - 5. Suppose 4*l - 17 = -13. Give l*a(r) - 5*q(r).
-2*r
Let s(y) = 3*y**2 + 6*y + 11. Let n = 13 - 4. Let l(w) = 16 - w**2 - 7 - 5 - 3*w - n. Calculate 7*l(h) + 3*s(h).
2*h**2 - 3*h - 2
Let o(u) = -291479*u. Let y(j) = -445*j. Determine -2*o(i) + 1311*y(i).
-437*i
Let c(i) = i**3 + i**2 - i + 2. Let d(m) = 5*m**3 - 4*m**2 + 5*m - 5. Determine -2*c(g) - d(g).
-7*g**3 + 2*g**2 - 3*g + 1
Suppose 4*r + 4 - 16 = 0. Let b(u) = -u + 32. Let j be b(-16). Let q be 20*r*4/j. Let p(t) = -2*t - 1. Let x(o) = -2*o - 2. Give q*p(n) - 4*x(n).
-2*n + 3
Let u = 350 + -349. Let d(m) = -m**3 - 2*m**2 - 3*m + 2. Let l(g) = g**3 + g - 1. Determine u*d(f) + 2*l(f).
f**3 - 2*f**2 - f
Let c = 334 + -329. Let u(w) = -9*w**3 + 4*w**2 + 5*w - 4. Let t(x) = -10*x**3 + 5*x**2 + 6*x - 5. Determine c*u(i) - 4*t(i).
-5*i**3 + i
Let r(p) = 3*p**3 + 5*p**2 - 11*p + 5. Let c(j) = -4*j**3 - 6*j**2 + 12*j - 6. Suppose 34 = 5*d + 64. Give d*r(o) - 5*c(o).
2*o**3 + 6*o
Let t(j) = -23*j + 4. Let s(i) = 70*i - 10. Calculate -3*s(d) - 8*t(d).
-26*d - 2
Let a(y) = -718*y - 6. Let p(g) = 295814*g + 2471. Give -2471*a(h) - 6*p(h).
-706*h
Let g(c) = -3*c + 9. Let v(k) = -2*k + 5. Let z = 92 - 96. Calculate z*g(w) + 7*v(w).
-2*w - 1
Let t(v) be the first derivative of v**4/4 - v**3 - v**2/2 + 4. Let k(s) = s**3 - 2*s**2 - 2*s. Calculate 3*k(y) - 2*t(y).
y**3 - 4*y
Let j(c) = -15*c**3 + 9*c**2 + 28. Let l(d) = 8*d**3 - 4*d**2 - 14. Determine -2*j(v) - 5*l(v).
-10*v**3 + 2*v**2 + 14
Let c(i) = 6 + 5*i**2 + i - 3*i + i. Let y(r) = -6*r**2 + 2*r - 7. Let l(u) = u**3 + 81*u**2 - 15*u - 1211. Let z be l(-81). Determine z*y(n) + 5*c(n).
n**2 + 3*n + 2
Let m(h) = -h**3 + 2*h - 35. Let j(u) = -5*u**3 + 10*u - 176. Give -2*j(x) + 11*m(x).
-x**3 + 2*x - 33
Let s(y) = 210*y**3 + 5*y**2 - 5*y - 6. Let k(z) = 525*z**3 + 12*z**2 - 12*z - 15. What is -5*k(p) + 12*s(p)?
-105*p**3 + 3
Let j(t) = -71*t**3 - 3*t**2. Let l(v) = -1276*v**3 - 55*v**2. What is 55*j(d) - 3*l(d)?
-77*d**3
Let r(l) = 4 + 3*l**2 + 15580*l + 4*l**2 - 15576*l. Let s = 15 - 19. Let w(o) = 6*o**2 + 3*o + 3. Determine s*w(v) + 3*r(v).
-3*v**2
Let s(c) = 8*c - 2. Let q(r) = -13*r - 7. Let m(h) = -4*h - 3. Let n(i) = 8*m(i) - 3*q(i). Give 3*n(x) - 4*s(x).
-11*x - 1
Let f = -29 - -26. Let g(v) = -v. Let u(n) = -n. Suppose 2*b - 81 = -7. Suppose 0 = -5*p - 7 + b. Calculate f*g(h) + p*u(h).
-3*h
Let a(p) be the first derivative of -2*p**3/3 - p**2/2 + 2*p - 24. Let f(u) = u**3 + u**2 + u - 1. Suppose 243*q + 2 = 244*q. Determine q*f(w) + a(w).
2*w**3 + w
Let a(h) = -16*h**3 - 13*h**2 - h - 7. Let b(q) = -7*q**3 - 6*q**2 - q - 3. Give -3*a(d) + 7*b(d).
-d**3 - 3*d**2 - 4*d
Let i(q) = -q + 1. Suppose -4*j - 51 + 22 = 5*r, -r - 6 = j. Let n(u) = 35*u - 30. Calculate j*n(a) - 30*i(a).
-5*a
Let m(t) = -t + 1. Let k(o) be the third derivative of o**5/60 - o**4/12 + 2*o**3/3 + 2*o**2. Let j be (-6)/(-8)*(-20)/(-15). What is j*k(f) - 4*m(f)?
f**2 + 2*f
Let a(r) = 16*r**3 + 12*r**2 - 10*r + 8. Let n(s) = s**3 + s**2 - s + 1. Calculate a(i) - 12*n(i).
4*i**3 + 2*i - 4
Let d be -3 + -2 + (-7 - -2 - -5). Let k(q) = q**2 - 4*q - 5. Let m(z) = -2*z - 2. What is d*m(g) + 2*k(g)?
2*g**2 + 2*g
Let t(q) = -444*q - 430*q + 866*q - 65*q**2. Let s(l) = 22*l**2 + 3*l. Give 8*s(u) + 3*t(u).
-19*u**2
Suppose 5*m - 4*r + 15 = -0*r, -3*r = 3*m + 9. Let v(n) = -n**3 + 3*n**2 - 3*n + 3. Let k(u) = u**3 - 4*u**2 + 4*u - 3. What is m*k(a) - 4*v(a)?
a**3 - 3
Let o(t) = 14*t + 12. Let r(h) = 19*h + 18. Give 8*o(u) - 5*r(u).
17*u + 6
Let v(x) = 206*x + 7. Let z(a) = 137*a + 4. Calculate -5*v(h) + 8*z(h).
66*h - 3
Let u(g) = -5*g**3 + 4*g + 4. Let r(m) be the first derivative of 3*m**4/2 - 5*m**2/2 - 5*m + 75. Let n be 22/4 - 6/4. Determine n*r(v) + 5*u(v).
-v**3
Let o(t) = 3*t - 70. Let k(j) = 8*j - 139. Give -2*k(c) + 5*o(c).
-c - 72
Let f(j) = 7*j. Let u(o) = 10*o - 1. Give 2*f(q) - u(q).
4*q + 1
Let o(r) = -r - 1. Let p(k) be the third derivative of k**3 + 0 + 0*k + 3*k**2 + 1/8*k**4. Calculate 4*o(w) + p(w).
-w + 2
Let p(v) = -v**2 - v. Let a(k) = 3*k**3 - 2*k**2 - 3*k. Let b = -44 - -46. Suppose 6*x + 8 = b. Calculate x*a(s) + 3*p(s).
-3*s**3 - s**2
Let v(j) = -8*j**3 + 3*j**2 + 3*j. Let i(k) be the second derivative of 7*k**5/20 - k**4/6 - k**3/3 + 9*k. What is 3*i(r) + 2*v(r)?
5*r**3
Let b(z) = -375*z**3 - 5*z**2 + 5*z. Let y(v) = -5811*v**3 - 78*v**2 + 78*v. What is -78*b(l) + 5*y(l)?
195*l**3
Let g(w) = -9*w**3 + 8*w**2 + 3. Let l(y) = -y**3 + y**2 + 1. Give g(c) - 3*l(c).
-6*c**3 + 5*c**2
Let n(g) = g**3 - 1. Let p(c) be the first derivative of -3*c**4/4 - c**3 + 2*c - 201. What is -2*n(t) - p(t)?
t**3 + 3*t**2
Let a(i) = -3 - 2 + 2 - 1 - 3*i. Let b(r) = 4*r + 6. Let o be (28/6)/(7 - (-285)/(-45)). What is o*a(n) + 5*b(n)?
-n + 2
Let s(w) = -160*w**3 - 16*w**2 - 14*w + 51. Let b(h) = -54*h**3 - 5*h**2 - 5*h + 18. Give -17*b(a) + 6*s(a).
-42*a**3 - 11*a**2 + a
Let m(a) = -1. Let z(t) = t**2 + 2*t - 7. What is m(u) - z(u)?
-u**2 - 2*u + 6
Let u(j) = 1. Suppose 4 = 2*t - 2. Let w(i) = 2 + 0 + 0 + t - 4*i. Determine -5*u(c) + w(c).
-4*c
Let o(a) = -13*a**2 + 3*a - 3. Let c(p) = 13*p**2 - 4*p + 4. Suppose j = -4*u + 4, 5*u + 0 = -j + 6. What is j*o(m) - 3*c(m)?
13*m**2
Let z = 37 + -35. Let y(l) = l - 3 + l - l + 2*l + 2*l**z. Let n(t) = t - 1. What is -2*n(i) + y(i)?
2*i**2 + i - 1
Let d(y) = 4 + 4*y - 24*y + 26*y. Let n(k) = -k - 1. Calculate -2*d(f) - 10*n(f).
-2*f + 2
Let u(d) = -2*d**2 + 15*d - 6. Let b(k) = k**2 - 13*k + 5. What is 3*b(s) + 2*u(s)?
-s**2 - 9*s + 3
Let o(z) = -z**2 + 48*z + 3019. Let p be o(84). Let j(f) = 3*f**2 + 3*f - 7. Suppose -3*w - 3 = -4*w. Let y(m) = 2*m**2 + 2*m - 4. What is p*y(g) + w*j(g)?
-g**2 - g - 1
Let c(p) = 3*p**3 + 4*p - 2. Let s(q) = 16*q**3 + 21*q - 11. Let t(u) = 23*u**2 + 133*u - 8. Let k be t(-6). What is k*c(v) - 4*s(v)?
2*v**3 + 4*v
Let y(j) = -3*j**3 - 4*j - 2. Let n be (-2)/(((-12)/(-10))/(87/145)). Let s(h) = h. What is n*y(d) - 5*s(d)?
3*d**3 - d + 2
Let w(s) = 0 - 2*s - 7 + 4*s + 5 + 2*s. Let v(a) = 3*a - 3. What is 2*v(t) - 3*w(t)?
-6*t
Let d(o) = -43*o - 35. Let i(x) = -x + 9. Calculate d(m) + 4*i(m).
-47*m + 1
Let h(n) = n. Let g(c) = -23*c. What is -6*g(o) + 30*h(o)?
168*o
Let s(u) = 57*u**3 - 3*u - 8. Let p(v) = 57*v**3 - 4*v - 12. Determine 2*p(w) - 3*s(w).
-57*w**3 + w
Let c(g) = -3*g**2 - 108*g - 4. Let o(z) = -z**2 + z - 1. Determine -c(f) + 6*o(f).
-3*f**2 + 114*f - 2
Let y(x) = 3*x**2 + 5. Suppose -3*h - 35 = 5*p, 3*h = -p + 8*h - 7. Let u(g) = 1 + 4*g**2 - 2 + 8 + 0. Give p*y(b) + 5*u(b).
-b**2
Let f(w) = 6*w**2. Suppose 20 = 3*u + 14. Suppose 0 = j + 3*b + 4, u*j - 2*b = 3*j + 1. Let h(t) = 3 + 0*t**2 + j*t**2 - 3. Calculate -4*f(a) + 5*h(a).
a**2
Let n(h) = 97831*h**2 + 1083*h + 3249. Let m(u) = -361*u**2 - 4*u - 12. What is 1083*m(r) + 4*n(r)?
361*r**2
Let o(p) = 7*p - 1. Let v(a) = -4*a + 2. Give 4*o(k) + 3*v(k).
16*k + 2
Let m(w) = -21*w**3 + 6*w**2 - 116*w - 11. Let y(s) = -4*s**3 + s**2 - 23*s - 2. Determine 2*m(r) - 11*y(r).
2*r**3 + r**2 + 21*r
Let a(q) be the second derivative of -q**5/10 - q**4/2 + 4*q**3/3 + 2*q**2 + 53*q. Let k = -1 + 5. Let w(d) = -3*d**3 - 7*d**2 + 9*d + 5. Give k*w(m) - 5*a(m).
-2*m**3 + 2*m**2 - 4*m
Let t(h) = 4*h**2 + 118*h - 2. Let d(w) = w**2. Cal | {
"pile_set_name": "DM Mathematics"
} |
of -450259*u**3*v - 2110940*u**3 - 2*u*v**4 wrt v?
-450259*u**3 - 8*u*v**3
Find the third derivative of -2369*a**3*j**3*p**3 + 8*a**3*j**3*p**2 - 3*a**3*j**2*p - 2*a**3*j*p**2 - 12*a**3*p**3 - 2*a**2*j**3 + 19*j**2*p wrt p.
-14214*a**3*j**3 - 72*a**3
Find the second derivative of -j*l**4 - 2566*j*l**3 - 37005*j*l - 2*l wrt l.
-12*j*l**2 - 15396*j*l
Find the second derivative of -12*b**5 + 159*b**4 - 2*b**2 - 73401*b.
-240*b**3 + 1908*b**2 - 4
What is the third derivative of 8892*p*w**4 - 3*p*w**3 + 85*p*w**2 - p*w + 2*w**2 - 5*w wrt w?
213408*p*w - 18*p
Find the third derivative of -2539465*r**3 + 3*r**2 - 3*r + 890 wrt r.
-15236790
Find the second derivative of 1285*i*t**3 + 4*i*t - 8*i + 17*t**3 + 2*t - 208 wrt t.
7710*i*t + 102*t
What is the third derivative of -2*d**4*n + 3*d**3*n**2 - 4521*d**3*n - 24*d**2*n + 401*n**2 wrt d?
-48*d*n + 18*n**2 - 27126*n
Differentiate -4*g**2*x + 94*g**2 + 5329*g*x - 14*g - 25 with respect to x.
-4*g**2 + 5329*g
What is the second derivative of 10424*a**3 - 73*a**2 - 33569*a + 2 wrt a?
62544*a - 146
What is the third derivative of -181287*f**3 - 3133*f**2 + 65?
-1087722
Find the second derivative of 8*a**5 - 9184*a**4 - 2*a**2 + 18*a + 8883.
160*a**3 - 110208*a**2 - 4
Differentiate -225*g*h**2 + 60*g*h - 4*g - 19680*h**2 + 3*h wrt g.
-225*h**2 + 60*h - 4
What is the second derivative of 3121*d**3*s*w + 11*d**3*s - 9*d**2*w - 394*d*s*w + d*s + 2*d + 356*s*w + 3*w wrt d?
18726*d*s*w + 66*d*s - 18*w
Find the third derivative of 164153*q**3 + 2751495*q**2.
984918
Differentiate -5*g**3 + 1592*g + 58308.
-15*g**2 + 1592
What is the derivative of 13575*a**2 + 300049 wrt a?
27150*a
Differentiate -27984*j**4*y - 3*j**2*y**2 - 32935*y**2 - y wrt j.
-111936*j**3*y - 6*j*y**2
What is the second derivative of -24*n**2*x**3 + n**2*x**2 + 219*n**2*x + 3*n*x**3 + 19*n*x + 94*x**3 - 2 wrt n?
-48*x**3 + 2*x**2 + 438*x
What is the third derivative of 20*r**6 + 219*r**4 - 13*r**2 - 12*r - 16 wrt r?
2400*r**3 + 5256*r
What is the third derivative of 52583*u**3 + 41949*u**2 wrt u?
315498
Find the third derivative of -8212*c*h**3 - 2*c*h**2 + 35*c*h - 45*h**2 wrt h.
-49272*c
What is the third derivative of 29525*d**6 - 9*d**5 + 4*d**3 - 99*d**2 - 5179 wrt d?
3543000*d**3 - 540*d**2 + 24
What is the third derivative of 340917*x**3 + 226*x**2 - 2*x - 117?
2045502
Find the third derivative of -3*n**5 - 13411*n**3 - 4*n**2 - 447 wrt n.
-180*n**2 - 80466
What is the third derivative of -3*b**5*g - 983*b**4*g + 2*b**2*g + 903*b**2 + b*g wrt b?
-180*b**2*g - 23592*b*g
What is the second derivative of 319174*v**3 + 2*v**2 - 512793*v?
1915044*v + 4
What is the derivative of -44967*d - 35848?
-44967
What is the third derivative of 342219*g**3 + 349264*g**2?
2053314
Differentiate -76028*n**2 + 9959.
-152056*n
Find the third derivative of 9*g*s**4 + 2663*g*s**3 + 2*g*s**2 + 2*g*s - 3*g + 757*s**2 wrt s.
216*g*s + 15978*g
What is the first derivative of -2*k**2*p**2 - 2*k**2*p + 161861*k**2 - k*p + 447*p**2 wrt p?
-4*k**2*p - 2*k**2 - k + 894*p
What is the third derivative of -227574*q**5 - 9143*q**2 + 5*q?
-13654440*q**2
Find the third derivative of -1441930*d**2*k**3 - 2*d**2 + d*k**6 + 544*d*k**2 - 3*d + 67 wrt k.
-8651580*d**2 + 120*d*k**3
What is the second derivative of 5*z**5 + 42*z**3 + 2*z**2 - 2*z + 3322 wrt z?
100*z**3 + 252*z + 4
Find the first derivative of 2*o**2*v**3 + 166*o**2 + o*u*v - 235*o*u - 12*u*v - 122*v**3 - 386*v**2 wrt o.
4*o*v**3 + 332*o + u*v - 235*u
Find the first derivative of 95927*b*c - 3*b + 48228 wrt c.
95927*b
What is the derivative of -19*d**4 - 11*d**3 - 2815*d - 318830 wrt d?
-76*d**3 - 33*d**2 - 2815
Find the third derivative of -25*m**4 + 1212*m**3 + 66*m**2 + 9*m + 5 wrt m.
-600*m + 7272
Find the second derivative of -95*c**3 - 1931*c**2 + 2069*c - 6 wrt c.
-570*c - 3862
Find the third derivative of 3759937*h**4 + 35*h**2 + 4*h - 785 wrt h.
90238488*h
What is the third derivative of 2*i**4*t + 1332*i**4 + 67*i**3*t**2 - 14063*i**2*t**2 + 25*i**2 wrt i?
48*i*t + 31968*i + 402*t**2
Find the second derivative of -99*x**5 + 3252*x**2 + 2634648*x wrt x.
-1980*x**3 + 6504
Find the first derivative of -2*d*m - 380189*d - 4351*m**2 + 89*m wrt m.
-2*d - 8702*m + 89
What is the second derivative of 229*a**4*o - 364*a**2*m*o + 37*a*m*o + 34*a + 8*o wrt a?
2748*a**2*o - 728*m*o
Find the second derivative of 101558*c**2*n**3 + c**2*n**2 - 3*c**2*n - 35*c**2 + c*n**3 + 10*c*n + 5*n - 2 wrt n.
609348*c**2*n + 2*c**2 + 6*c*n
What is the first derivative of 5052203*r**4 - 1090853 wrt r?
20208812*r**3
What is the first derivative of -1289783*a - 1210311?
-1289783
What is the third derivative of 4*f**6 - 4*f**4 - 494*f**3 - 2*f**2 - 27063?
480*f**3 - 96*f - 2964
What is the third derivative of 1173039*h**3 + 11*h**2 - 17999*h wrt h?
7038234
Find the second derivative of 111459*i**2*j**2 + 27365*i**2 - 2*i*j wrt j.
222918*i**2
Differentiate 359*t**4 - 27*t**3 + t**2 + 3*t - 1731618.
1436*t**3 - 81*t**2 + 2*t + 3
Differentiate -247*x**3 - 2294*x*z - 3331715*z with respect to x.
-741*x**2 - 2294*z
Find the second derivative of 31*g**5 + 9603*g**2 - 152*g + 3058.
620*g**3 + 19206
What is the third derivative of 2*g**4 - 1608169*g**3 + 853760*g**2?
48*g - 9649014
Differentiate i*n**2 + 112878*i*n + i + 24212 with respect to n.
2*i*n + 112878*i
What is the second derivative of -27504*t**5 + 7*t**3 + 8*t - 2506?
-550080*t**3 + 42*t
What is the second derivative of -7281*v**5 + 8*v**3 + 1334856*v?
-145620*v**3 + 48*v
Find the second derivative of 25*g**3*t**2 - 3*g**3*t - 74*g**2*t**2 + 2*g*t**2 - 20231*g + 2*t**2 + 2 wrt g.
150*g*t**2 - 18*g*t - 148*t**2
What is the derivative of 15*a**2*j - 6*a**2 - 5242*a*j - 65*a - j + 139 wrt j?
15*a**2 - 5242*a - 1
What is the second derivative of 585758*u**4 + 674437*u?
7029096*u**2
Find the third derivative of -148*h**5 + 1080*h**3 + 446*h**2 - 2*h + 12.
-8880*h**2 + 6480
Find the third derivative of c**4*u + 378*c**4 + c**3*u - 6*c**3 - 22*c**2*u - 32*c**2 + 16*c wrt c.
24*c*u + 9072*c + 6*u - 36
What is the first derivative of -2*c**4 + 4*c**3 - 3333*c**2 + 272427 wrt c?
-8*c**3 + 12*c**2 - 6666*c
Find the third derivative of 775898*i**4 + i**3 - 546*i**2 + i + 80.
18621552*i + 6
Find the second derivative of 46*n**4 - 58*n**3 - 61*n**2 + 2062606*n wrt n.
552*n**2 - 348*n - 122
What is the second derivative of 2*d*g**3 - 74*d*g**2 + 3*d*g - d + g**3 - 214*g**2 + 17649*g wrt g?
12*d*g - 148*d + 6*g - 428
Differentiate -56748*d**3 - 44216 with respect to d.
-170244*d**2
Differentiate 48112*n**2 + 30015 with respect to n.
96224*n
What is the third derivative of 14744*q**6*z**3 + 15*q**2*z**2 + 128*z**3 wrt q?
1769280*q**3*z**3
Find the third derivative of -3427*i**3*p*v**3 - i**3*v**2 - 21*i**2*p*v**3 + 3*i**2*p*v**2 - 4345*i**2*v**2 - 2*i*p wrt v.
-20562*i**3*p - 126*i**2*p
Find the third derivative of 24941*h**3 - 39232*h**2 wrt h.
149646
What is the third derivative of 97945*m**5 + 4*m**3 - 4*m**2 + 84958*m?
5876700*m**2 + 24
What is the third derivative of 94748*d**4 + 5*d**2 + 562?
2273952*d
Find the first derivative of -3159*h**2 - 37*h + 186615.
-6318*h - 37
Find the second derivative of 163280*i**2*q**2 - 66*i**2*q - 5*i*q + 118*i wrt q.
326560*i**2
Find the third derivative of 84549*t**3*z**3 - 11*t**2 - 1744*t*z**3 wrt t.
507294*z**3
Find the second derivative of 56805*s**3*v**2 - 26*s - 57*v**2 - v wrt s.
340830*s*v**2
What is the second derivative of -169*a**3 + 1499*a**2 + 184605*a - 1?
-1014*a + 2998
What is the first derivative of 10*d**2*v**2 - 38*d**2*v + 161048*v**2 wrt d?
20*d*v**2 - 76*d*v
Differentiate -741780*n**4 + 205659 wrt n.
-2967120*n**3
Find the first derivative of 132*a**3*n + 1970*a*n + 1234066*n wrt a.
396*a**2*n + 1970*n
Find the second derivative of -25519*u**5 - 124*u + 42.
-510380*u**3
What is the first derivative of j**3*u**2 - 66*j**3 - j**2 + 1253*j*u**2 + 31*j + 5*u**2 wrt u?
2*j**3*u + 2506*j*u + 10*u
What is the second derivative of -o**5 + 3*o**4 - 12734*o**3 - 53826*o + 7?
-20*o**3 + 36*o**2 - 76404*o
What is the second derivative of -d*j*l**2 + 7*d*j*l + 5*d*j + d*l**2 - 24081*j*l**2 - 3*l**2 + 1067*l wrt l?
-2*d*j + 2*d - 48162*j - 6
Find the second derivative of 123087*r**3 + 124*r - 70 wrt r.
738522*r
Differentiate -67313*c*l**3 - 2217 | {
"pile_set_name": "DM Mathematics"
} |
152336*c**3
Collect the terms in 4882*v**2 - 2*v - 4207*v**2 + 10810*v**2.
11485*v**2 - 2*v
Collect the terms in -14342*c - 696*c**3 - c**2 + 697*c**3 + c**2.
c**3 - 14342*c
Collect the terms in -7 - 5205*s - 5216*s + 15672*s - 5219*s.
32*s - 7
Collect the terms in -2956*y**3 + 1063*y**3 + 1097*y**3 + 797*y**3.
y**3
Collect the terms in -4 + 2 + 2 + 67*f**3 - 1018*f**3 + 6.
-951*f**3 + 6
Collect the terms in 9216 - 18430 - 57*s + 9216 - 230*s.
-287*s + 2
Collect the terms in -42225912*n**2 - 317*n**3 + 42225912*n**2.
-317*n**3
Collect the terms in 8 - 4679*c + 7 + 11 - 430*c - 43.
-5109*c - 17
Collect the terms in -14446*q + 28728*q - 14421*q.
-139*q
Collect the terms in 51362 - 352*s - 2*s**2 + 352*s.
-2*s**2 + 51362
Collect the terms in -468373 - i**2 + 234162 + 234211.
-i**2
Collect the terms in 152134*q - 4998 - 76066*q - 76066*q.
2*q - 4998
Collect the terms in -213 - 217 + 126 + 175248363*a - 563 - 175248366*a.
-3*a - 867
Collect the terms in -1413*n**2 - 1327*n**2 + 4264*n**2 + 49*n**3 - 1418*n**2.
49*n**3 + 106*n**2
Collect the terms in 31831 + 31835 - 63677 + 943*u - 952*u.
-9*u - 11
Collect the terms in -1896*c**3 - 8*c**2 - 152*c**2 + 161*c**2.
-1896*c**3 + c**2
Collect the terms in -k + 17371*k**2 - k - 7854*k**2 + 5*k - 3*k.
9517*k**2
Collect the terms in 12*t**2 + 36*t**2 + 440 - 215 - 211 + 31*t**2.
79*t**2 + 14
Collect the terms in -4787*q + 4787*q - 470156*q**3.
-470156*q**3
Collect the terms in -249*v**2 - 308*v**2 + 304*v**2 - 338*v**2 - 345*v**2.
-936*v**2
Collect the terms in -88567*o + 271338*o - 7*o**2 - 91386*o - 91385*o.
-7*o**2
Collect the terms in 28810*t - 9475*t - 9658*t - 9657*t - 1 + 3.
20*t + 2
Collect the terms in -3 + 3 + 1087465854*y - 1087465850*y.
4*y
Collect the terms in 22915 - k - 11462 - 11453 + 13*k**2 + k.
13*k**2
Collect the terms in 1041*u - 910*u + 9*u**2 - 131*u.
9*u**2
Collect the terms in 2*f + 2514*f**3 + 3244*f**3 + 155*f**3 + 8819*f**3.
14732*f**3 + 2*f
Collect the terms in o**3 - 1079659*o + 539780*o + 539879*o.
o**3
Collect the terms in 1566*t**2 + 1563*t**2 + 1588*t**2 - 6262*t**2 + 1572*t**2.
27*t**2
Collect the terms in -1298970*u + 1298970*u - 430 + 3*u**3 - 2*u**2 + 2*u**2 + 430.
3*u**3
Collect the terms in 581*v**3 + 455*v**3 + 427*v**3 - 1728*v**3.
-265*v**3
Collect the terms in -1035*r**2 + 926*r - 502*r - 424*r.
-1035*r**2
Collect the terms in 2458*i**3 + 76 - 2457*i**3 - 77 + 737*i**2.
i**3 + 737*i**2 - 1
Collect the terms in -6118*y**2 + 2298*y**2 + 2290*y**2 + 1534*y**2 - 12.
4*y**2 - 12
Collect the terms in 924*k**2 + 1114*k**2 + 480*k**2 - 2539*k**2.
-21*k**2
Collect the terms in 24*h**3 - 1001*h + 502*h - 2*h**2 + 499*h + 5*h**2.
24*h**3 + 3*h**2
Collect the terms in 11*g - 23*g**2 - 5*g + 0*g - 7*g**2 - 8*g - 6*g.
-30*g**2 - 8*g
Collect the terms in -35747 - 8*s**2 + 447*s + 35745 + 3*s**2.
-5*s**2 + 447*s - 2
Collect the terms in 138801*z**3 + 85314*z**3 - 13834*z**3 + 114308*z**3.
324589*z**3
Collect the terms in 201*o + 195*o + 203*o + 211*o + 203*o - 1015*o.
-2*o
Collect the terms in -14*p**2 + 423*p + 3207*p + 344*p + 48*p**2 + 93*p.
34*p**2 + 4067*p
Collect the terms in 1853 - 7344 + 1841 + 195*y**2 + 1851 + 1799.
195*y**2
Collect the terms in 178326 - 4*p**3 + 184*p**2 + 3*p**3 - 178326 - p**2.
-p**3 + 183*p**2
Collect the terms in -21*b**2 + b**2 - 22*b**2 - 17*b**2 - 29*b**2 + 72*b**2.
-16*b**2
Collect the terms in -43653653 + 43653653 + 482*u**3.
482*u**3
Collect the terms in 5408*r - 7411*r**3 - 10812*r + 5404*r.
-7411*r**3
Collect the terms in -2*o**2 + o**2 - 4494059755122 + 4494059755122.
-o**2
Collect the terms in -1 - 11126*h - 26*h**2 + 9*h**2 - 20*h**2.
-37*h**2 - 11126*h - 1
Collect the terms in -91280797*d - 4 + 91280135*d + 4.
-662*d
Collect the terms in 8 + 37052*z + 14 + 13 - 1 - 37057*z.
-5*z + 34
Collect the terms in 4 - 4 + 2739*d**3 - 2730*d**3 + 90*d**2 - 9*d**2 - 81*d**2.
9*d**3
Collect the terms in -1161*h + 7 + 20 - 25.
-1161*h + 2
Collect the terms in -21167*x + 21137*x - 2*x**2 - 8 + 13.
-2*x**2 - 30*x + 5
Collect the terms in -27*v**2 - 85*v**3 - 11*v**2 - 629*v**3 + 1 - 34*v**2 - 73*v**2.
-714*v**3 - 145*v**2 + 1
Collect the terms in 2824669752 - 2824669752 + 979*p**3.
979*p**3
Collect the terms in 366 - 710 + 344 - 1369*n**3.
-1369*n**3
Collect the terms in -10 - 11345*x - 28 + 125 - 87.
-11345*x
Collect the terms in 543*j**2 - 575*j**2 - 41*j - 850*j**2 - 1863*j**2 + 45*j.
-2745*j**2 + 4*j
Collect the terms in -66*x - 16242 + 3490*x**2 + 66*x + 16242.
3490*x**2
Collect the terms in 262*v + 1124*v + 239*v - 1488 + 101*v.
1726*v - 1488
Collect the terms in 30*b**3 + 264*b**3 + 265386*b - 265386*b.
294*b**3
Collect the terms in -32*p**3 - 17 - 441911442*p + 441911442*p.
-32*p**3 - 17
Collect the terms in -57*o**2 - o - 6*o + o + 5*o + 770.
-57*o**2 - o + 770
Collect the terms in -41*z**3 - 30*z**2 + 62*z**2 + 83*z**3 - 46*z**3 + 49*z**2.
-4*z**3 + 81*z**2
Collect the terms in 156*a**2 - 5*a + 208*a**2 + 12*a - 7*a.
364*a**2
Collect the terms in -293*g**2 + 7 - 7 + 212*g**2 - 923*g**2.
-1004*g**2
Collect the terms in -138*m + 424*m - 297*m - 234*m - 519*m - 785*m.
-1549*m
Collect the terms in 2998 - 1002 - 67*b**3 - 1008 + 71*b**3 - 1000.
4*b**3 - 12
Collect the terms in r**3 + 276887340 - 553774682 + 276887342.
r**3
Collect the terms in -50088*s**2 - 618*s**2 - 50208*s**2.
-100914*s**2
Collect the terms in 2073 - 41*d + 2119 + 36*d - 4192.
-5*d
Collect the terms in 101 + 96 + 126 + 7*m**2 - 427 + 104.
7*m**2
Collect the terms in -162*a - 3 - 163*a - 171*a + 854*a - 166*a - 164*a.
28*a - 3
Collect the terms in f + 82431190 - 82431190.
f
Collect the terms in -32*q + 9654*q**2 - 42333*q**2 + 30*q.
-32679*q**2 - 2*q
Collect the terms in -550*j + 765*j - 186*j.
29*j
Collect the terms in 0*a + 3*a - 3*a - 805528*a**3.
-805528*a**3
Collect the terms in -19250 + 9543 + 9702 + 7*w.
7*w - 5
Collect the terms in 1190124 - 1190124 - 61624*g.
-61624*g
Collect the terms in -145*s**2 + 21 + 479*s**2 - 151*s**2 - 136*s**2 - 21.
47*s**2
Collect the terms in 56*h - 386 - 304 + 691.
56*h + 1
Collect the terms in 17*t - 16*t - 2982*t**2 - 1279*t**2 - t.
-4261*t**2
Collect the terms in 28913984150*z**3 - 14456992071*z**3 - 14456992078*z**3.
z**3
Collect the terms in -1368 + 687 - 6*a**3 + 194*a + 681 - 200*a.
-6*a**3 - 6*a
Collect the terms in k**2 - k**2 - 37*k**3 + 27 - 87*k**3 + 45*k**3.
-79*k**3 + 27
Collect the terms in 23*v**3 + 0*v**3 - 56*v**3 + 5*v**3 + 90*v**3 - 8*v**3.
54*v**3
Collect the terms in -6060*h + 3057*h + 4 + 8*h**2 + 3003*h.
8*h**2 + 4
Collect the terms in 9*a**2 - 3*a**2 + 5*a**2 + 95*a**2 - 118*a**2 + a**2.
-11*a**2
Collect the terms in -19 + 49 - 14 - 34 - 18 - a.
-a - 36
Collect the terms in 537 - 537 - 335671*y**3.
-335671*y**3
Collect the terms in 53174 - 159520 + 53175 + 53171 + 3*k.
3*k
Collect the terms in 43*t + 914*t**2 + 182*t**2 + 601*t**2 - 83*t + 45*t.
1697*t**2 + 5*t
Collect the terms in -7*y - 14*y + 28*y - 9*y + 10952 - 3195.
-2*y + 7757
Collect the terms in -8 - j**2 + 104*j - 6 - 12 + 27 - 25.
-j**2 + 104*j - 24
Collect the terms in -28150 - 28106 + 56256 - 5*s**3 + 9*s**2.
-5*s**3 + 9*s**2
Collect the terms in 4*t**2 - 8149072*t - 8149044*t + 16298116*t.
4*t**2
Collect the terms in -9 + 6 - 484*j + 1208*j + 1074*j.
1798*j - 3
Collect the terms in -38136*w**2 - 38058*w**2 + 76324*w**2.
130*w**2
Collect the terms in 52 - 125 + 1447*o - 75.
1447*o - 148
Collect the terms in 94 + 41*t + 47 - 141 - 98*t.
-57*t
Collect the terms in -9*l**2 - 162 - l**3 - 41 - 119 + 0*l**3.
-l**3 - 9*l**2 - 322
Collect the terms in 61740*y**3 - 81676*y**3 + 19933*y**3.
-3*y**3
Collect the terms in 7915*d**2 - 24356*d**2 + 7911*d**2 - 3*d + 8532*d**2 + 3*d.
2*d**2
Collect the terms in -9*p**2 - 27 - 4*p**2 + 20*p + 23*p - 42*p.
-13*p**2 + p - 27
Collect the terms in 1300*t + 5*t**2 + 1245*t - 5158*t + 1299*t + 1314*t.
5*t**2
Collect the terms in -1469*s - 767*s + 2256*s.
20*s
Collect the terms in -l + 1046 + 1017 - 2064.
-l - 1
Collect the terms in 35*u**2 + 45*u**2 - 3*u**2 + 2*u - 2*u + 10*u**2.
87*u**2
Collect the terms in -8 - 2 - 9*w - 13*w - 4*w + 29*w.
3*w - 10
Collect the terms in 46 + 0 - 4 - 32 + 61*x - 11 - 3*x.
58*x - 1
Collect the terms in -4*l**2 + 63 - 42 + 0*l + 304*l + 79.
-4*l**2 + 304*l + 100
Collect the terms in -9569* | {
"pile_set_name": "DM Mathematics"
} |
x be 4/z*(1 - 7). Solve -p*k - x = -2*a - 2*a, 0 = 4*a - 2*k + 2 for a.
-2
Let p(a) = a**3 - 23*a**2 - a + 27. Let f be p(23). Solve -4*n + 2*j - 4*j - 20 = 0, -j - 16 = f*n for n.
-3
Let l(r) = -r**2. Let x be l(-2). Let v = 5 + x. Let f be (-1 - 1 - -18)/v. Solve 4*b = -4*t + f, 2*t - 3*b + 4 = b for t.
2
Let y(a) = a**3 + 2*a**2 + 2. Let v(n) = -n**2 - 3*n - 3. Let w be v(-2). Let h = w + -1. Let j be y(h). Solve 0 = 3*i - 8*i + 5*g + 10, -6 = j*g for i.
-1
Suppose 4*t - 5 = 3*t. Solve 20 = t*q, 2*l + 3*q - 11 = 9 for l.
4
Suppose 5*m - 5 = -j - 1, -4*m + 20 = -2*j. Let t be (-2)/j - 2/6. Suppose -a + 3*u - 3 = 0, -u - u + 4 = t. Solve b + b - a*i = -17, -3*b = i - 2 for b.
-1
Let d be -4 - 43/(-4) - 2/(-8). Solve -q - d = 2*l, -l = 5 - 3 for q.
-3
Suppose 3*h - 5 = 10. Solve 0 = -4*n - 3*g + h, -n = g - 4*g + 10 for n.
-1
Suppose -3*k + 7*k = -40. Let t = k + 18. Solve -5*f - 15 = -4*r + 16, 0 = -2*r + t for f.
-3
Suppose -4*h + 13 = -0*h + 3*i, 2*i = -10. Suppose -13 - h = -4*j. Solve 4 = -2*v - 6, 0 = 5*r + 2*v - j for r.
3
Let p be ((-3)/(-9)*0)/1. Let g be 0 - -1 - -3*1. Suppose 32 = g*u - 28. Solve -s - u + 5 = -y, p = -s - y for s.
-5
Suppose 2 = 4*a + 6. Let x be ((-8)/(-6))/(a/3). Let u be (-3)/1 + 10 + x. Solve -b + g = u, -3*g + 4 = -5*b - 3 for b.
1
Let a(d) = -d**2 + 5*d - 7. Let r be a(5). Let s = r - -3. Let f be (-665)/(-45) - s/18. Solve -5*p + 0*p = -2*q + 17, 0 = 3*p + f for q.
-4
Let a = -14 - -18. Solve -g = -a*q + 7, -2*q + 1 = -g - 0 for g.
5
Suppose 7 - 13 = -2*b. Solve m + 0*m = -j, b*m - 2 = -5*j for m.
-1
Let r be (-96 - -95)/((-2)/8*1). Suppose n + 2 + 3 = 0. Let m = 0 - n. Solve -3*g - r = -d, -3*d - 3*g - 9 = -m*g for d.
-5
Let s = 4 - 2. Suppose 0 = -g - s. Let n be (3/g)/(12/(-56)). Solve t = 3*l - 9, l - 5*l - 5*t = n for l.
2
Let o(k) = k**3 + 3*k**2 - 3*k - 5. Let w be o(-4). Let i = 14 + w. Solve 0 = i*n - 0*z - z + 21, -5*n = 3*z + 17 for n.
-4
Let x be (93/(-12))/(2/(-8)). Suppose 3*y = x + 134. Suppose -2*f = 3*f - y. Solve c = 2*a - 9, -3*a + c + 3*c = -f for a.
5
Suppose 0 = -4*d + 3*w + 3, 4*w - 6 = 6. Solve 0 = -2*a - d*m + 16, -a + 5*m - 12 = 3*a for a.
2
Suppose -3*q + 1 = -2*l - 0*l, 0 = 3*l - 4*q. Solve -v + 5*o + 22 = 0, 5*v = o - l*o - 30 for v.
-3
Let f = -122 + 123. Solve -4*v - 3*q - 6 = f, 4*v - q = -3 for v.
-1
Let g = 90 + -86. Solve 3*o - 6 = g*q, 0*o - 3*o = 3*q + 15 for q.
-3
Suppose -5*d - 3 = -23. Suppose -5*j = -2*c - 120, -d*c = -2*j + 5*j - 46. Solve p + 0*m + 14 = 5*m, -3*m + j = -4*p for p.
-4
Suppose 4*n = -190 - 170. Let u be ((-12)/10)/(27/n). Solve -4 = b - 0*b, 4*b - 4 = -u*m for m.
5
Suppose -13*c = -7*c - 18. Solve 0 = 3*s + 2*h + 17, 4*s - c*h = -6*h - 23 for s.
-5
Let h = -15 + 11. Let z = -4 - h. Suppose 3*b + 2*i = -z*i + 4, -4 = 4*b - 2*i. Solve 3*q + 6 = b, u + 2 = -4*q - 9 for u.
-3
Let s(g) = g**3 - 7*g**2 - g + 1. Let n be s(8). Suppose -5*x = b - 71, -3*b - n = -x - 2*x. Solve 5*o = 4*r + x, -3*o + 2*o - 26 = 5*r for o.
-1
Let a(u) = -u**3 + 7*u**2 + u - 7. Let t(k) = -k**2 + 8*k - 5. Let p be t(6). Let v be a(p). Solve 6 = -3*n - v*n - 3*z, -4*z = -2*n + 2 for n.
-1
Let n(w) = -w**2 + 4*w - 6. Let b be n(3). Let k = 8 + b. Solve 0*s - y + 13 = -3*s, -5*y = -3*s - k for s.
-5
Let z(d) = d + 5. Suppose k = 3*u + 21, -2*k + 36 = -5*u - 0*k. Let l be z(u). Let i be (-17)/l - 6/(-3). Solve -3*j = -2*c + 3*c + i, -c = 4 for j.
-5
Suppose -3 = -k, 2*m + 5*k = -4 + 55. Solve -3*c + 0*c = d - 2, -3*d = -3*c - m for c.
-1
Suppose -120 = -3*z - z. Suppose i + z = n + 9, -4*i + 84 = 4*n. Solve -n = 5*l + 2*w, l - w - 5 = -6*w for l.
-5
Let y(m) = m + 14. Let w be y(-10). Solve -2*x = -w*c - 3*x, -2*c = x for c.
0
Let n(y) = y + 33. Let t be n(-24). Solve t = -p + 4*b, 3*b = -5*p + 34 - 10 for p.
3
Suppose -t - 3*t = -4. Suppose -4*h - 3*k = -6*h + t, -3*h + 21 = 2*k. Solve -3*n = -4*x - 17, 3*n - 16 = h*x + 6 for x.
-5
Let f(g) = -g. Let u be f(-2). Solve 3*y - 3*k = -7*k, u*k = 0 for y.
0
Let i = -15 - -12. Let u = -3 - i. Solve 4*w - 3*o + 11 = u, -o - 1 = -w - 4*o for w.
-2
Let q(n) = n**2 - 4*n - 3. Let j be (4/6)/((-1)/3). Let v be q(j). Suppose -5*i + 5 = -2*y - 6, -4*y = i - 11. Solve 4*b + 14 = 2*g, -2*b - y*g = -g + v for b.
-4
Let x = 0 + 5. Suppose 0*j = 2*j - 24. Solve 3*a - j = 0, -6 = -2*f - x*a + 3*a for f.
-1
Let b be -2*((-2)/2 - 1). Let l = 4 + b. Solve -4*y + 5*z = l, 0 = 3*z - 11 - 1 for y.
3
Let q be 6 - ((1 - 1) + 0). Let r be (-8)/(-4) - 0*(-1)/(-4). Solve q = -r*x, d - 4*x = 4*d + 15 for d.
-1
Let s be (54/24 - 2)/((-2)/(-16)). Solve 2*k - 4 = -0*f - s*f, 3*f - 5*k = 14 for f.
3
Let c be -2*3/6*-1. Let q be 7 + -1 + c/(-1). Solve 4*t + q*i + 11 = -24, i = -3*t - 18 for t.
-5
Let u(n) be the second derivative of -n**4/12 - 2*n**3/3 - 9*n. Let m be u(-4). Solve 0 = -4*v - 2*l - 20, m = -4*v - l - 0*l - 16 for v.
-3
Suppose -v = 2*v - 30. Let a be (-12)/(-10)*v/3. Let q be 0*(4 - 2 - 1). Solve q = 3*p - 4*s - 23, -5*p + 3*p + a = 3*s for p.
5
Suppose -8*n = -4*n + 12. Let q be (-3)/n - 2 - -1. Let u = q - -2. Solve 4*a + 2*b = u, 3*a - b - 12 = b for a.
2
Let k = -4 - -7. Let i(w) = w**2 + 7*w + 7. Let r be i(-5). Let c = r + k. Solve -x - 2 = -c*t - 3*t, -3*t - 8 = x for t.
-1
Let q(o) = o**2 + 16*o - 1. Let n be q(-17). Solve 5*f = y - 16, -5*y - 3*f - 16 = n for y.
-4
Let t = -14 + 23. Solve 2*s + o - t = 0, -3*s + 0*o = 2*o - 15 for s.
3
Suppose 0 = -p + 2*w, p = -0*p + 3*w + 1. Let f be p/(2/2 + -3). Solve 0 = -4*l + 4*v - 28, v + 8 = -3*l - f for l.
-4
Let y(d) = 0*d**2 + 6*d**2 - 1 - 6*d + 1 - d**3 + 2. Let i be y(5). Let q = i - -3. Solve -c - 3 = -3*n - 4, 2*n - 2*c + 6 = q for n.
1
Suppose -u + 2*d = -23, 0 = -3*u - 2*u - 3*d + 128. Solve -3*z - 6 = 3*h - 6*h, -2*z - 5*h = u for z.
-5
Suppose 15 = -2*i + 7*i + 5*o, 2*o = i. Suppose u + 0 = -i. Let n be 2 - (u/1 + 1). Solve 0 = -2*d - 3*q - 5, 5*d - 5*q + n = -3*q for d.
-1
Suppose 0 = 3*d - d - 2. Solve t = -2*i + d, 5*t + 28 = -i + 2*i for t.
-5
Suppose 0 = -5*q + 7 + 3. Solve -q*d = 3*s + 1, 2*d + 2 = -s - s for s.
1
Suppose 5*f - a - 24 = 0, 2*f + 6*a = 4*a. Let y be (-11)/(-44) - (-91)/4. Solve -3*w + y = 5*d, 14 = -d + f*d + 2*w for d.
4
Let y = -4 + 7. Let g = -2 - -5. Suppose 5*k + 2*b - 3*b = 11, 0 = 4*k - g*b - 11. Solve 2*i + 3*z + 3 = -3, -y*i + k*z = -17 for i.
3
Let l be (-4)/6 + 34/6. Solve 5*r + 2*k - 4 = 9, -k + l = r for r.
1
Suppose -l = 3*c + 7, 4*l + 2*c + 0*c = 2. Solve 2*y = o, -o + 3*o = -l*y for y.
0
Let v be (4/10)/(8/40). Solve 3*n = -a - 0*n - 5, 5*n + 7 = -v*a for a.
4
Suppose 0 = 2*z - 22 - 8. Let a be 2/(-2) + 0 - -1. Solve 3*p + o = -z, o + o + 6 = a for p.
-4
Let q = -13 + 23. Suppose 5*j = -2*b - q, -5*b + b - 2*j = -12. Solve 0 = 4*i - 4*k + 4, i - 4*i - b*k - 35 = 0 for i.
-5
Suppose -p - p = -6. Solve p*w = k - 2 - 2, -w - 20 = -5*k for w.
0
Let s be 8/(112/102) + 2/(-7). Solve p + 2*p + s = 4*a, 5*a - 10 = 4*p for a.
-2
Suppose -5*n + 17 + 8 = 5*l, 5*n = -l + 17. Let s = -39 + 41. Solve -b + l = -s*b, -5*c = 5*b + 10 for c.
0
Suppose -10 + 30 = 5*u. Suppose 0*c = c + 3*m - 1, 2*c - 12 = 4*m. Suppose 0*k - 8 = -c*k. Solve -k*r - 5*b - 29 = 0, 25 = -r - u*r - 3*b for r.
-2
Suppose 0*q + 3*s + 66 = 3*q, -5*q + 112 = -4*s. Solve -4*j - 3*l = -q, -1 - 7 = 4*j - 5*l for j.
3
Let x(i) = -i**3 - 6*i**2 - 7*i - 4. Let v be x(-5). Suppose v + 0 = k. Suppose 0 = -2*f + k*f. Solve -3*r = -6*z + 4*z - 10, -2*z - 5*r + 22 = f for z.
1
Let a = -7 + 10. Let l = 49 - 47. Solve -3*o - 11 = -l*j, -o - 2*o + a*j - 12 = 0 for o.
-3
Let a = -33 + 54. Solve 4*l - 4*s + 1 = -3, 3*s = -3*l - a for l.
-4
Let p be ((-3)/6)/(1/(-8)). Solve -2*w + 5*b - 11 = 0, -p*w + b - 8 = 5*b for w.
-3
Suppose -19 = -3*o + 2. Let k = 0 + o. Let g(t) = t**3 - 6*t**2 - 6*t - 4. Let r be g(k). Solve r*c - c = -2*m, 2*c - 4*m = 24 for c.
4
Suppose 0*m + 2*m + 0*m = 0. Solve -12 = -2*p + 4*p - 3*h, p - 2*h + 7 = m for p.
-3
Let s(k) = -k**3 - 4*k**2 + 2*k + 2. Let j be s(-2). Let p be 6 + (2 - (5 - 1)). Let z be ((-12)/j)/(p/10). Solve 3*d + 3*i = -3 + 9, -6 = -z*d + 5*i for d.
2
Let r = 22 - 19. Solve 2*s + 3 = r*s + 4*g, 3*g - 4 = s for s.
-1
Suppose h + 3*h = -8. Let j be (h/3)/((-4)/30). Solve j*d = 4*i + d - 16, 0 = 3*i - 4*d - 13 for i.
3
Suppose 8*r - 3*r = 15. Suppose -r*m - 72 = -4*f - | {
"pile_set_name": "DM Mathematics"
} |
4, -4*a - 8 = -16*q + 19*q for q.
-8
Solve -q - 5*t + 48 = 0, -4*t + 42 + 4 = -3*q for q.
-2
Solve -483*q + 17 = -481*q + 3*b, 3*b = 5*q - 11 for q.
4
Solve -19*t + 14*t - 2 = -4*n, -5*n = -125*t + 120*t for n.
-2
Solve 21 = 18*x - 17*x - 4*f, 6*f + 34 = 4*x for x.
1
Solve 5*v - 4*p = 54, 0 = 5*v + 1807*p - 1804*p - 47 for v.
10
Solve -3*h + 3*g = 51, 2*h + 106*g + 85 = 111*g for h.
0
Solve 5*v = 5*y, -18*v - 83*y + 48 = -85*y for v.
3
Solve 5*r + 5*b - 35 = 0, -2*r - 25*b - 10 = -27*b for r.
1
Solve -g - 9 = 3*a, -4104*a + 51 = -5*g - 4122*a for g.
-3
Solve -80*j = b - 89*j - 13, -3*j = -2*b + 11 for b.
4
Solve -4*j - 2*o - 37 = -15, 0 = -3*j + 2*o - 34 for j.
-8
Solve -14*u + 30*u - 20*u - 12 = 0, u = -4*f + 17 for f.
5
Solve -57*a + 58*a + 3*d - 7 = 0, -2*d = -3*a - 23 for a.
-5
Solve -5*o - 6*y = -59, -6*o - 252 + 308 = -2*o - 4*y for o.
13
Solve 0 = -5*x - 5*u + 316 - 271, 3*x - 2*u - 7 = 0 for x.
5
Solve y + p = 14, -3112*y + 6 = -3115*y + p for y.
2
Solve -7 = 5*z + 4*s, -4 = 11*z + 51*s - 46*s for z.
1
Solve -19894*c + 7 = -19897*c + 5*u, u = 4*c - 19 for c.
6
Solve -6 + 18 = 4*l, w + 5*l - 5 = 10 for w.
0
Solve 2*u = u + 5*w + 44, u = -w - 10 for u.
-1
Solve 0 = -5*g - n + 44, -1027 = 5*g + 4*n - 1083 for g.
8
Solve -5*m = 2*w + 558 - 580, -9*w + 4*m = 7 for w.
1
Solve 3*x + h - 1982 = -2009, 7*h = -3*x - 45 for x.
-8
Solve -3299*y + 3295*y - 8 = 0, -5*b - 18 = 4*y for b.
-2
Solve 44*g = 2*o + 43*g - 7, 4*o = -g - 1 for o.
1
Solve 10 = 4534*f - 4530*f - 2*j, 2*f + 4*j + 50 = 0 for f.
-3
Solve 2*r + 10480*c - 10475*c = 9, -15 = -5*c for r.
-3
Solve -5*p = -4*k - 94 + 88, 5*p - 5*k - 5 = 0 for p.
2
Solve 0 = -4866*h + 4865*h + m - 4, 2*h + m = -8 for h.
-4
Solve 5*g - 59 = -10*i + 23*i, -3*g + 4*i + 24 = 0 for g.
4
Solve 5*o - 3*x - 6 = 0, -12273*x - 6 = -4*o - 12271*x for o.
3
Solve -5*f = 20, 5*o + 39*f = 41*f + 33 for o.
5
Solve 0 = -2*d + y - 120 + 130, -8 = -d + 2*y for d.
4
Solve 2*r + 2*v = -18, -11*r - 24 = 652*v - 656*v for r.
-4
Solve -51*m - 4 = -52*m - k, 0 = -2*k + 4 for m.
2
Solve -b = 2*k + 4, 2*b - k = -721 + 723 for b.
0
Solve 451*h = 454*h - 9*d + 24, -5*d = 2*h - 17 for h.
1
Solve -3*z + 31 = 5*m, -39694*m + 39699*m = -7*z + 39 for z.
2
Solve 3*o + 20 = 5*d + 24, 5*d = 5 for o.
3
Solve -5*w + 5*k + 102 = 12*w, 6 = w + k for w.
6
Solve 11*f - 7 = 4*a, -93*a + 89*a - 5*f = -9 for a.
1
Solve 0 = 4*c + 21*i - 17*i + 12, 0 = 4*c + 3*i + 14 for c.
-5
Solve 4*l - 64 + 92 = 0, -33 = -5*t + 4*l for t.
1
Solve -l - 2*j = -853 + 856, 0 = 4*l + 3*j - 8 for l.
5
Solve 31*k + 12*x = 33*k - 10, -5*x - 5 = 0 for k.
-1
Solve 4*m + 5*j + 18 = 0, -330*j = -323*j + 14 for m.
-2
Solve 4*t + 80 = 16*n, 2*n - 15 + 5 = -139*t + 140*t for n.
5
Solve -5*m + 15 - 22 = -b, 4*b = 3*m - 23 for b.
-8
Solve -b + 17 = m + 29, 6*m + 69 = -5*b for b.
-3
Solve 3*p - 102 = -6*y, -7*y + 161 = -5*p + 59 for p.
2
Solve 4*y + 118*z - 106*z = -32, y - 4*z = 20 for y.
4
Solve 44 = -2*u + 10*v, 183 = -3*v + 192 for u.
-7
Solve 3*o - 4*j + 9 = 0, 4*j = -o + 5028 - 5031 for o.
-3
Solve -11 = 3*o + 2*r, 3*o + 22 = 2*r + 3 for o.
-5
Solve 0 = 65*y - 66*y - 24*s - 71, -2*s - 10 = -4*y for y.
1
Solve 2*y + 4*i + 24 = 0, -33*i + 35*i + 10 = 0 for y.
-2
Solve -31*d = -27*d + 4*p + 16, 5*d - 4 = p for d.
0
Solve 22*o = -g + 20*o - 10, 5*g + 38 = -4*o for g.
-6
Solve -11 + 0 = 23*w - 22*w - 10*b, 0 = -5*w - 7*b + 2 for w.
-1
Solve -4*n = 2*m + 46, -13*m = -17*m + 4*n + 28 for m.
-3
Solve 5*u + 28 - 24 = h, -4*u + 16*h = 64 for u.
0
Solve -4*j - h + 27 = 18, h = 2*j + 3 for j.
1
Solve 2*j = 0, 0 = -w + 53*j - 52*j - 2 for w.
-2
Solve 4 = 2*f + 2*c, 1983*f - 1982*f - 3*c = -14 for f.
-2
Solve 3*c + 6 = 3*y, -48*y + 44*y - 62 = 6*c for y.
-5
Solve 0 = 5*t, 8*t + 12 = 652*w - 656*w for w.
-3
Solve -4*s = -4*p + 8, -48*p = -3*s - 44*p - 10 for s.
2
Solve 0 = -2*l + 5*o - 27, 4*l + 165*o - 16 = 161*o for l.
-1
Solve -5*t - 23 = -v, 8*v = -4*t + 11*v - 25 for t.
-4
Solve 15*c - 3*s = -45 - 30, 0 = -2*c + 3*s - 10 for c.
-5
Solve 35 = 2*f - 3*w, -3*f - 211*w - 30 = -208*w for f.
1
Solve -2*r - 20 = 0, 1863*t - 3*r - 14 = 1861*t + 8 for t.
-4
Solve -3 = 3*p - b, 4*b = 5*p + 36 - 38 for p.
-2
Solve -25 = -2*l - 147*b + 152*b, -5*l - b - 5 = 0 for l.
0
Solve -3*y + 19 = -78*h + 82*h, 4*y = 4*h + 16 for y.
5
Solve -65*w = -64*w + 4, -5 = 3*h + 4*w - 4 for h.
5
Solve k + 70 = 74*c, -5*c - 2*k + 72 = 59 for c.
1
Solve 3*m + 3*j = -15 + 12, j = 0 for m.
-1
Solve -3*t = -4*l + 16, -4*t = -5*l - 111 + 132 for l.
1
Solve -1971*c + 1973*c - 2*q = 2, 5*c = q - 7 for c.
-2
Solve 0 = 26*q - 21*q + 3*h + 25, 3*h + 17 = -q for q.
-2
Solve 3*h = s + 19, -16 = 926*h - 930*h - s for h.
5
Solve -r - 2*y = -10, 37*r = r + y - 151 for r.
-4
Solve 4*w - 96 = 8*h, 5*h - 54 = 3*w - 123 for w.
18
Solve 2*t - 37*f + 39*f - 2 = -0*t, 5*f - 13 = -3*t for t.
-4
Solve 2*f - 14 = -3*p - 6, 0 = -9*f - 4*p - 2 for f.
-2
Solve 0 = 21*j - 20*j - 4*x - 21, j - 13 = 2*x for j.
5
Solve r = -4*q - 14*q - 11, -14 = -2*r for q.
-1
Solve -14 = -2*a + 4*m + 4, 6*a - 2*m = 4 for a.
-1
Solve 7*l - 100 = -4*o, 0 = o - 222*l + 223*l - 16 for o.
4
Solve -25 = -5*h, p + 0*h + h - 8 = 0 for p.
3
Solve 0 = a - 3*t - 19 + 11, -5*a + t = -26 for a.
5
Solve 1092*c = 1089*c - 3*d + 18, -3*c - 4*d + 15 = 0 for c.
9
Solve 2*s = -4*h - 63 + 11, 328 = -27*h - 2*s for h.
-12
Solve -3*z + 14 = 4*n, -z + 2 = -4*n + 4*z for n.
2
Solve -80 = 4*a + 4*t, -15*t = 111*a - 116*a + 240 for a.
-3
Solve -5*q + 19 = -105*y + 109*y, 0 = 4*q + y - 2 for q.
-1
Solve -2*x - 4*h = 0, 4*h - 1202 = 2*x - 1170 for x.
-8
Solve -g - 5*m + 15 = 0, 3*g - 192 + 219 = 3*m for g.
-5
Solve 146*j - 141*j = -4*t - 6, 17*t + 4*j = -60 for t.
-4
Solve 1833*f - 1834*f = -8, f = x + 5 for x.
3
Solve 0 = -4*a + 3*x + 25, 340*a = 339*a + 2*x + 15 for a.
1
Solve d = 4*j + 10, 21*d + 5*j = 18*d - 21 for d.
-2
Solve -s = 4*t - 3, 2105*s - 2104*s = -7*t + 3 for s.
3
Solve 2*i - 5*q + 30 = 0, -203*q + 99*q = 4*i - 101*q + 8 for i.
-5
Solve -3*p = -3*f - 33, 2*p + 965*f = 956*f - 77 for p.
2
Solve 0 = -4*t + 2*t, -10*t = 2*v - 11*t - 6 for v.
3
Solve 24*m + 7 = 5*x + 27*m, -1 = x + m for x.
5
Solve c = 5*o - 1, -2*c - 8099 = 21*o - 8128 for o.
1
Solve 0 = -27*p + 32*p + b + 7, 8 = -2*p - 3*b for p.
-1
Solve -8 = -5*k + 10*k + 3*i, i - 8 = k for k.
-4
Solve 50 = -10*d, -34 + 36 = 2*k - 2*d for k.
-4
Solve 3*w = -4*i + 4688 - 4666, 20 = 2*i - 3*w for i.
7
Solve -5*l - 14 + 20 = -2*r, -4*l + 16 = 4*r for r.
2
Solve 69 = 14*k + 55, -2*k = -c - 4 for c.
-2
Solve -2*f = q + 40, 4*q + 116*f = 111*f - 106 for q.
-4
Solve -12847*w + 4*x = -12843*w - 8, 8*w = -6*x - 12 for w.
0
Solve 15*o - 4*u = 4*o + 38, 16*o - 2*u = 20*o for o.
2
Solve -34*t = -4*u - 188, -2*t + 4*u + 514 = 518 for t.
6
Solve -22 = -2*k + 3*p, -5*k - 3*p = 80 - 93 for k.
5
Solve x = -17, -243*p + 100 = -246*p - 5*x for p.
-5
Solve -5*v + 4*z + 9 = 0, -4254*z = -4256*z - 2 for v.
1
Solve 0 = -i + 8*b + 25, 756*b - 760*b = -5*i - 19 for i.
-7
Solve 22*g = 27*g - 25, -13 = -2*x - 3*g for x.
-1
Solve 17*w - 12*w + 70 = -5*j, 11*w - 3*j = 6*w + 10 for w.
-4
Solve 11*m = 155*h - 159*h + 103, -3*h + 4*m - 33 = 0 for h.
1
Solve 24 = 98*b - 96*b + 4*f, 3*b = -3*f + 15 for b.
-2
Solve 20*s - 120 = 15*s + 5*b, -99 = 2*s + 5*b for s.
3
Solve -1346*d + 1345*d = a - 2, -5*d = -5*a - 40 for a.
-3
Solve 0 = -3*y - 2*i - 14, -4*y = 3*i + 432 - 414 for y.
-6
Solve 82*k - 3 = 83*k, -6*k - 42 = 5*b - 4 for b.
-4
Solve -8 = 2*v - 2*k, 5*v + k + 3472 - 3458 = 0 for v.
-3
Solve 0 = 5*p + 4*l - 178 + 121, -35 = p - 5*l for p.
5
Solve 4*m - 864 + 841 = -z, 15 = 3*m for z.
3
Solve 0 = 4*j - o + 23 + 11, j + 33 = 2*o for j.
-5
Solve -37 = -2*t + 3*h, 0 = 2*t + 5*h + 1 + 34 for t.
5
Solve 9*a - 70 = -88, 2*s = -4*a - 22 for s.
-7
Solve -2*d = -3*y + 7, 439*y + 69 = 440*y - 14*d for y.
-1
Solve 3*s - 171*y + 170*y = -10, -41*s - 12*s - 2*y - 39 = 0 for s.
-1
Solve -5*b + 1 = -4*u, -13*b + 2*u = -7*b - 4 for b.
1
Solve -5*i - 4*t - 18 = 0, 3*i - 14*t = -14 - 46 for i.
-6
Solve 4*a + 42 = -11*y, -12*y + 8*y - 43 = 10*a - 3*a for y.
-2
Solve -3 = h, -34*h = 2*b - 36*h + 10 for b.
-8
Solve -282326*w + 282327*w = 4*u - 7, 0 = -4*w + 2*u + 14 for w.
5
Solve 0 = -3*d + 2*b + 10, 2*d + 4*b = -1918 + 1930 for d.
4
Solve -2*b - 22 + 3 = -3*c, 2*c = -2*b | {
"pile_set_name": "DM Mathematics"
} |
*k**2 - 5. Suppose -26*w = -189 + 33. Let h(t) = 9*t**2 + 10. Calculate w*h(s) + 13*c(s).
2*s**2 - 5
Let c(i) = i**2 - 6. Let o(h) = 26*h**2 - 16*h + 13. Calculate -2*c(t) - o(t).
-28*t**2 + 16*t - 1
Let l(p) = -5*p**3 + 8*p**2 + 8. Suppose 16*a + 4 = 18*a. Let t(n) = 3080 + 5*n**a - 2*n**3 - n**3 - 3075. What is -5*l(b) + 8*t(b)?
b**3
Let a = 3739 + -3733. Let q(j) = -9*j**3 + 7*j**2 + 6*j - 4. Let l(n) = -n**3 + n**2 + n - 1. Calculate a*l(m) - q(m).
3*m**3 - m**2 - 2
Let h = 25 + -14. Suppose 13*q + 20 = h*q. Let n be 6/q + (-2268)/(-105). Let z(k) = 5*k - 2. Let f(p) = 51*p - 21. Calculate n*z(v) - 2*f(v).
3*v
Let z(p) = -p - 2. Let f(n) = 2*n + 5. Let w = -35 - -112. Suppose 11 = 3*j + w. Let i = -14 - j. Determine i*z(x) + 3*f(x).
-2*x - 1
Let i(a) be the third derivative of -a**4/6 - 2*a**3/3 - 2*a**2. Let p be (-7)/(10/((-80)/28)) + -4. Let f(l) = 13*l + 11. Calculate p*f(j) - 7*i(j).
2*j + 6
Let g(j) = -39*j**3 + 5*j**2 + 44*j - 8. Let n(s) = 77*s**3 - 9*s**2 - 77*s + 15. Calculate 7*g(u) + 4*n(u).
35*u**3 - u**2 + 4
Let o(f) = 54*f - 51. Let k(m) = -17*m + 16. Let c(a) = 19*k(a) + 6*o(a). Let l = 2 - 0. Let z(y) = -y + 0*y + l*y - 5. Determine 5*c(i) - 2*z(i).
3*i
Let y(q) = -1732*q - 67. Let c(f) = -5194*f - 214. Determine -5*c(k) + 16*y(k).
-1742*k - 2
Let p(i) = 2*i + 1. Let j(x) = 31*x**2 + 8*x + 39. What is j(w) - 4*p(w)?
31*w**2 + 35
Let n(m) = 3*m + 19. Let k(h) = -72 - 84 + 157. Give -2*k(r) + n(r).
3*r + 17
Let z(w) = 53*w**2 - 29*w - 2. Let m(d) = -d**2 + 6*d + 1. Calculate -5*m(i) - z(i).
-48*i**2 - i - 3
Let o(s) = 3*s**3 + 2*s**2 + 679*s - 70. Let h(w) = 4*w**3 + 3*w**2 + 678*w - 108. Give 2*h(d) - 3*o(d).
-d**3 - 681*d - 6
Let v(g) = 6531*g**3 - 5*g**2 + 5*g + 5. Let f(p) = 303688*p**3 - 232*p**2 + 232*p + 232. Calculate 5*f(t) - 232*v(t).
3248*t**3
Let g(s) be the first derivative of -s**3/3 + s + 1. Let z(j) = 4*j**3 - 5*j**2 + 3. Let i be (-40)/(-3480)*319 - (-8)/6. What is i*g(q) - z(q)?
-4*q**3 + 2
Let v(l) = 8*l - 9. Let f(t) = -t + 1. Suppose 3*a = -0*a. Suppose -11*u + 12*u - 10 = a. Let c be (-1024)/(-160) + (-1)/(u/4). Give c*f(q) + v(q).
2*q - 3
Suppose m + 45 = -4*m. Let v be 11 - m/((-45)/(-20)). Let h(l) = -31 + 15 + v. Let q(y) = -2*y**2 - 5. Determine -5*h(j) + q(j).
-2*j**2
Let v(y) = 112*y - 6828. Let l be v(61). Let i(t) = 4*t**3 + 8. Let d(s) = 5*s**3 + 8. Give l*i(c) - 3*d(c).
c**3 + 8
Let y(s) = 415*s + 25. Let p(j) = 138*j + 9. Calculate -7*p(o) + 2*y(o).
-136*o - 13
Let t(v) = -44*v**3 - v**2 - 5*v - 49. Let a(d) = 43*d**3 + d**2 + 5*d + 34. Calculate -3*a(k) - 2*t(k).
-41*k**3 - k**2 - 5*k - 4
Let n(z) = 628*z - 3. Let i(l) = -616*l + 4. Calculate -2*i(w) - 3*n(w).
-652*w + 1
Let t(n) = -20*n**3 + 9155*n**2 + 4*n + 14. Let h(v) = 14*v**3 - 6103*v**2 - 3*v - 10. Calculate 7*h(k) + 5*t(k).
-2*k**3 + 3054*k**2 - k
Let c(w) = -1118*w**2 + 4*w - 42. Let f(i) = -2239*i**2 + 9*i - 105. Give 5*c(k) - 2*f(k).
-1112*k**2 + 2*k
Let d(m) = 6*m**3 + 9*m**2 - m - 9. Let r(k) = -1 + k**2 + 3*k**3 + 0*k**3 - 2*k**3. Let n = -225984 - -225966. What is n*r(f) + 2*d(f)?
-6*f**3 - 2*f
Let y(k) = -532*k**2 - 1. Let n(x) = 177*x**2. What is -8*n(l) - 3*y(l)?
180*l**2 + 3
Let c(u) = -99*u + 36. Suppose 3*l - 5*m - 118 = 0, -426 = -12*l + 81*m - 84*m. Let q(h) be the first derivative of -7*h**2 + 5*h - 2. Give l*q(s) - 5*c(s).
-9*s
Let u(j) = 68*j**2 + 422*j + 7. Let v(f) = -27*f**2 - 211*f - 4. Give -2*u(m) - 5*v(m).
-m**2 + 211*m + 6
Let q = 9 - 18. Let v(u) = -2*u - 22. Let l be v(q). Let x(c) = 4*c**3. Suppose 45*g = 190 + 125. Let b(k) = 2*k**3. Calculate g*b(f) + l*x(f).
-2*f**3
Let d(y) = -y**3 + 7*y**2. Let s(i) = 11*i**3 - 2*i**2 - i + 1. Let x(a) = -53*a**3 + 3*a**2 + 6*a - 5. Let n(h) = -5*s(h) - x(h). Calculate 3*d(z) - 2*n(z).
z**3 + 7*z**2 + 2*z
Let a(n) = 160*n**2 - 28*n + 11. Let g(o) = 79*o**2 - 13*o + 5. What is 4*a(f) - 9*g(f)?
-71*f**2 + 5*f - 1
Let b(z) = -3*z**2 - 3*z. Let h(j) = 11*j**2 + 13*j. Let y(s) = s**2 - 29*s - 6590. Let v be y(97). Determine v*h(d) + 26*b(d).
-12*d**2
Let c(a) = -1659*a - 16. Let d(s) = -419*s - 4. Give 2*c(h) - 9*d(h).
453*h + 4
Let t(d) = -d**2 - 15*d + 9. Let j(y) = -y**2 - 19*y + 11. Let a(w) = 4*j(w) - 5*t(w). Let k(o) = -8*o**2 + 5*o + 11. Calculate -6*a(b) - k(b).
2*b**2 + b - 5
Let f(q) = -7*q - 11. Let i(s) = 9*s + 109. Let t(d) = 28*d + 360. Let k(p) = -10*i(p) + 3*t(p). Determine 5*f(v) - 6*k(v).
v + 5
Let t(z) = -107 + 169 + 2*z - 63. Suppose 3*j + 8 = 2*j. Let f(d) = 3*d - 2. Calculate j*t(q) + 5*f(q).
-q - 2
Let a(s) = s**2 + s + 3. Let h(k) = 3*k**2 + 3*k + 6. Suppose f = -5*f. Suppose 2*v + 7 + 3 = f. What is v*a(x) + 2*h(x)?
x**2 + x - 3
Let l(z) = -24*z**2 - 5*z - 8. Let v(p) = 16*p**2 + 3*p + 5. Let d(i) = 6*i - 60. Let s be d(14). Suppose -8*q + s = -5*q. Determine q*v(r) + 5*l(r).
8*r**2 - r
Let o(n) = n - 3 + 2 + 4. Let j(m) = -1. Let d(x) = 8. Let f(s) = d(s) + 5*j(s). Let i = 22705 + -22703. Determine i*o(k) - 3*f(k).
2*k - 3
Let d(s) = 268*s + 1338. Let u be d(-5). Let b(k) = 13*k**2 + 35*k + 13. Let c(q) = -4*q**2 - 12*q - 4. Give u*b(a) - 7*c(a).
2*a**2 + 14*a + 2
Let j be (26/6 - 4*(-13)/(-156))/(-2). Let f(z) = 17*z**2 + 2. Let h(i) = -152*i**2 - 19. Give j*h(t) - 19*f(t).
-19*t**2
Let q = 687 + -665. Suppose -5*w = -f - 0 - q, -2*w + 12 = -2*f. Let u(t) = -t**2 + 2*t - 2. Let x(h) = -h**2 - h + 1. What is f*x(p) - u(p)?
3*p**2
Let d(u) be the third derivative of u**6/10 + 3*u**3/2 - 3*u**2. Let t(a) = 3*a**3 + 2. Let k = 51 + -48. Suppose -6*q - 15 = -k. Give q*d(s) + 9*t(s).
3*s**3
Let g(n) = 45*n**3 - 13*n**2 - 632*n - 8. Let i(o) = -27*o**3 + 8*o**2 + 379*o + 5. Give -8*g(m) - 13*i(m).
-9*m**3 + 129*m - 1
Let c(g) = -12 + 6842*g**3 + g**2 - 7 - 6841*g**3 + 2*g**2. Let t(x) = x**2 - 1. What is -c(q) + 3*t(q)?
-q**3 + 16
Suppose 0 = -n - 6 + 8. Let w(h) be the first derivative of -h**2/2 - h + 6. Let v(z) = 1. Let d(y) = -y. Let g(c) = d(c) - 3*v(c). Determine n*g(o) - 5*w(o).
3*o - 1
Let p(s) = 22*s**2 + 7*s. Let r(c) = -11*c**2 - 4*c. Let t(w) = 14*w**2 + 13*w + 21 - 62 + 23 + 22 + 0*w**3 + w**3. Let m be t(-13). Give m*p(n) + 7*r(n).
11*n**2
Let h(w) = 2087*w**2 + 2*w. Let l(j) = 10440*j**2 + 11*j. Determine -11*h(m) + 2*l(m).
-2077*m**2
Let z(k) = 52*k**2 - 60*k - 7. Let r(l) = 51*l**2 - 48*l - 6. Give -5*r(n) + 4*z(n).
-47*n**2 + 2
Let v = -637 - -648. Let y(z) = 6 - 17 - 1 + v. Let w(p) = 2*p**2 - p - 1. Give -w(t) + 3*y(t).
-2*t**2 + t - 2
Let w(m) = 2257*m**3 - 2*m**2 - 2*m - 4. Let b(u) = 13541*u**3 - 13*u**2 - 13*u - 26. Calculate 6*b(i) - 39*w(i).
-6777*i**3
Let a(b) = -130*b. Let g(f) = 33*f. Let k(n) = a(n) + 4*g(n). Let p(t) = -2*t. Let x(y) = -y**3 + 9*y - 5. Let h be x(3). Determine h*p(c) - 6*k(c).
-2*c
Suppose 3*q = p + 32 - 3, 3*p = 3*q - 33. Let k(h) = 4*h + 1. Let l(x) be the second derivative of -17*x**3/6 - 3*x**2/2 + 337*x. Determine q*k(d) + 2*l(d).
2*d + 3
Let x(t) = 3*t**2 - 59*t - 401. Let o be x(25). Let f(l) be the first derivative of 6*l**3 + 5. Let h(q) = q**2. Give o*f(w) + 9*h(w).
-9*w**2
Let k = -540 - -544. Let x(o) = 6*o - 1. Let s(m) = m - 1. Let d(v) = -3*s(v) + x(v). Let b(w) = -8*w - 7. Give k*b(h) + 14*d(h).
10*h
Let u(x) = -51. Let j(i) = -411*i - 95. Calculate -j(g) + 2*u(g).
411*g - 7
Let g(r) = -8*r + 2. Let n(k) = 3*k + 1. Let j(m) = -g(m) - n(m). Let c(d) = 157 - 79 - 77 - d. Give -3*c(o) - j(o).
-2*o
Let t(b) = -b**3 - b**2 - b + 1. Let r(f) = -4*f**3 - 5*f**2 - 5*f + 5. Let v(p) = -2*p. Let m be v(1). Determine m*r(s) + 10*t(s).
-2*s**3
Let o(n) = -9482760*n**3 + 20405*n**2. Let j(w) = -1859*w**3 + 4*w**2. Determine 20405*j(y) - 4*o(y).
-1855*y**3
Let t be -4882 - -4888 - (1*4 - (-1 - -2)). Let y(p) = -p + 0*p - 5 + 2*p. Let a(v) = 2*v - 16. Give t*a(q) - 10*y(q).
-4*q + 2
Let o(z) = 453*z + 7. Let l(q) = -1813*q - 31. Give -2*l(r) - 9*o(r).
-451*r - 1
Suppose -1 = 7*t + 125. Let d be (-27)/t - 1/(-2). Let j(n) = n**3 + 3*n**2 + 2*n + 6. Let m(r) = -r**3 - 2*r**2 - 2*r - 5. Give d*j(h) + 3*m(h).
-h**3 - 2*h - 3
Let p(d) = -26100*d**2 - 37*d - 130. Let q(x) = -8700*x**2 - 13*x - 46. Calculate -6*p(t) + 17*q(t).
8700*t**2 + t - 2
Let n(h) be the second derivative of -4*h**3/3 - 3*h**2 + 378*h. Let w(d) = d + 1. Determine -n(c) - 6*w(c).
2*c
Let s(a) = -10*a - 2915. Let d(w) = -2*w - 728. | {
"pile_set_name": "DM Mathematics"
} |
ssuming i is positive.
1
Simplify ((k/(k*k**(-19)))/k*k**7)**25 assuming k is positive.
k**625
Simplify (((f/f**(-7/6)*f)/f)**1)**20 assuming f is positive.
f**(130/3)
Simplify d/((d*d**(-2/17))/d)*d**5*(d/(d*d**(2/27))*d)/(((d/((d/((d/(d/(d/(d*((d*(d*d**4*d)/d*d*d)/d*d)/d))))/d))/d*d))/d)/d) assuming d is positive.
d**(7823/459)
Simplify w*w/(w/(w/(w**(-14)*w*w)))*w**(-6/5)*w/(w/w**(1/16))*w*w*(w*w*(w*w*(w/(w**16*w)*w)/w)/w*w*w)/w*w assuming w is positive.
w**(309/80)
Simplify ((o*o*o*(o/(o*o*(o*o**10/o*o*o)/o*o*o*o))/o*o*o)/o*o**29)/(o/(o*(o/(((o**(-12)*o*o)/o)/o))/o*o*o*o*o)*o*o*o**(2/25)/o) assuming o is positive.
o**(798/25)
Simplify (m**(2/31)/m*m**(-1/9))**(7/4) assuming m is positive.
m**(-511/279)
Simplify a**(-1/4)*a**(-16)*(a*a**27*a*a*a*a)/a**(-7/4) assuming a is positive.
a**(35/2)
Simplify (u**(-5))**(-36)*((u*(u**(-10)/u)/u)/u)/u**(-1/14) assuming u is positive.
u**(2353/14)
Simplify b**(-2/35)/b*b*b**(-2/9)*b/(b**(-12)/b)*b**(7/4) assuming b is positive.
b**(19493/1260)
Simplify n**(2/3)*n*n*((n/n**(7/5))/n)/n*n**(9/4)/(n/(n*n**7*n)) assuming n is positive.
n**(631/60)
Simplify k*k**15/k*k*k**(-12)*(k**(2/7))**(-2/13) assuming k is positive.
k**(360/91)
Simplify (p**29*p)/(p**(-6)/p)*(p/((p*p/p**(-18))/p)*p)/(p/(p*p**11)) assuming p is positive.
p**31
Simplify v*(v*v**(-4)*v)/v*v*v*(v/((v/((((v/(v*v**(-2/49)))/v)/v*v)/v))/v))/v*v*v/v**9*v*v/(v/((v/((v**(1/7)/v*v*v)/v))/v*v)) assuming v is positive.
v**(-348/49)
Simplify ((p**(11/4)/p*p*p*p)/p**(1/4))/(p*p/p**(4/13))**38 assuming p is positive.
p**(-1555/26)
Simplify (q/q**(-4/7)*q**(-8/11))**(-18/13) assuming q is positive.
q**(-90/77)
Simplify ((r/(r*r/((r*r**0*r*r)/r)*r*r)*r)/r)**2*r**(1/7)/r**1 assuming r is positive.
r**(-20/7)
Simplify (l*l*l**(-2/3)*l**5*l*(l**(1/3))**(-1/3))**(-6) assuming l is positive.
l**(-130/3)
Simplify (((p**(3/2)*p)/p)**(-4/21)*(p*p**(-3)*p)**(-2/83))**(1/23) assuming p is positive.
p**(-152/13363)
Simplify (r**26/r*r*(((r/(r/(r/(((r/((r*(r*(r/r**3)/r)/r*r)/r))/r*r)/r)))*r)/r)/r*r)/r)**(-4) assuming r is positive.
r**(-96)
Simplify ((m/(m*m*m**(-3)*m*m*m*m))/(m**(1/3)*m*m)*m**(-1/2)*m**(-1/2))**(3/2) assuming m is positive.
m**(-8)
Simplify (h**(-3)/h)**31*(h**(-1/8))**(3/41) assuming h is positive.
h**(-40675/328)
Simplify (l**3*l*l/l**12)/(l**(-4)*l)**(3/41) assuming l is positive.
l**(-278/41)
Simplify (j**(-1))**(-44)/(((j**(3/7)*j)/j)/j**8) assuming j is positive.
j**(361/7)
Simplify s**13*s*(s/(s**(1/5)/s*s*s))/s*(s/(s/(s*s**(-14))))/s**(2/65) assuming s is positive.
s**(-3/13)
Simplify (f**(-2))**33*(f/(f*f*f**2))**(-23) assuming f is positive.
f**3
Simplify (j*j*j/(j**(-1/4)/j))**(2/79)/(((j/j**5)/j)/(j**(1/6)/j)) assuming j is positive.
j**(1013/237)
Simplify (g**1*g**(2/3)*g*g*(g*g/(g/(g**(-1/3)*g)*g))**(-8/17))**(2/97) assuming g is positive.
g**(114/1649)
Simplify (((h*h/h**19)/h**(-8))**(1/7))**(-10/9) assuming h is positive.
h**(10/7)
Simplify k/(k*k**(-2/9)*k)*k*k**(-3/8)/k*(k/(k*k**(-6)))**(-17) assuming k is positive.
k**(-7427/72)
Simplify (k/(k/(k**(1/9)*k)))**(2/23)*(k*(k*k*k**20*k)/k)/(k**(-13)*k) assuming k is positive.
k**(7265/207)
Simplify (c**36*c/(((c/(c**(-25/4)/c))/c)/c)*c)/(((c/c**(-18)*c)/c)/c)**(-41) assuming c is positive.
c**(3079/4)
Simplify (b**9/b**(-1/4))/(b/b**(-2/7)*b**8) assuming b is positive.
b**(-1/28)
Simplify (p/(p*p**(-2)))/(p*(p*p*p**(1/15))/p)*(p**(-14)/p)/p**(-4) assuming p is positive.
p**(-166/15)
Simplify (f**(-3)*f)**(2/9)/((f/(f/f**11))/(f/(f**(-3)/f))) assuming f is positive.
f**(-58/9)
Simplify (a/a**(-1/5))**(-5/4)/(((a/(a*a*(a/((a**(-1/23)*a)/a))/a*a*a)*a)/a)/(a*a**(-2/7))) assuming a is positive.
a**(727/322)
Simplify ((d*d/(d*d*d**1*d*d))**(-4)*d**(-3/8)/((d*d*d*d**(3/4)*d*d)/d*d))**(1/5) assuming d is positive.
d**(47/40)
Simplify ((o**1)**48*(o**0*o*o*o)**(-33))**(-7/8) assuming o is positive.
o**(357/8)
Simplify ((a*a**(-6))/(a/(a*a*a*a**(-9)*a)))/((a**(-3/8)*a)/a**19) assuming a is positive.
a**(59/8)
Simplify g/g**(-1)*(g/(g*g**(-6)))/g*(g*g/((((g/g**(-9))/g)/g)/g))/g*g**(-3/13) assuming g is positive.
g**(10/13)
Simplify (((j*j**(-7))/j**(-2/11))**(-24))**(-36) assuming j is positive.
j**(-55296/11)
Simplify (w*w**(-7)*w*w*w/w**(-6)*w*w*w*(w**(2/3)*w)**(-50))**24 assuming w is positive.
w**(-1856)
Simplify (x**5*(x*x**(-3)/x)/x*x**2/x**(1/3))**(-8/15) assuming x is positive.
x**(-64/45)
Simplify (i/i**11)/(i**(6/11)*i)*i**1*i*i/i**7*i assuming i is positive.
i**(-160/11)
Simplify (((b*b*b/b**3)/(b/(b/(b**(-2)/b*b))))**2)**(-4) assuming b is positive.
b**(-16)
Simplify (p/((p*p/p**(1/3))/p)*p*p**(-2/43))/((p**(2/23)/p)/(p/(p*p*p/(p*p*p/p**(-8))*p*p*p))) assuming p is positive.
p**(24329/2967)
Simplify ((v**(-4/3)/((v**(-11)/v)/v))**(-48))**(-4/3) assuming v is positive.
v**(2240/3)
Simplify (w*w**(-2))**(6/17)/((w*(w*w*w**(-9))/w)/(w/(w**(-1/13)/w))) assuming w is positive.
w**(1928/221)
Simplify ((((((l*l**(-6)/l)/l)/l*l*l)/l)/(l**(-2/7)*l*l))**(-23))**36 assuming l is positive.
l**(50508/7)
Simplify (n**(-28)*n**(-12)/n)/(n**5*n**24) assuming n is positive.
n**(-70)
Simplify (c**(2/9)*c)**44*(c*c/c**4)**(-9) assuming c is positive.
c**(646/9)
Simplify (z/((((z*z**(-2/3))/z)/z)/z)*z**22)/(((z**(-2/25)/z)/z)/(z/(z/((z/(z/(z*z**29)))/z))*z)) assuming z is positive.
z**(4331/75)
Simplify ((g/(g*g**(-1/6)/g))/((g/(g*g**(2/13)*g*g))/g))/(g**(-1/2)*g*g)**(28/9) assuming g is positive.
g**(-9/26)
Simplify (x*x**(-1/3)*x/x**(3/11)*(x**(-1))**(-5/19))**(-3) assuming x is positive.
x**(-1039/209)
Simplify (k**(-2/55)*k**23)**(4/23) assuming k is positive.
k**(5052/1265)
Simplify ((u/u**17*u)/u*u)/u*u*u**(-9/5)*(u/(u/(u**5/u)))**19 assuming u is positive.
u**(296/5)
Simplify (c*(c/(c/c**18*c))/c*c*c/((c/(c*c**(-12/17)*c*c))/c))**(-11/5) assuming c is positive.
c**(-3982/85)
Simplify ((q**(-10)*q)/(q**(-2/63)*q*q))**(-5) assuming q is positive.
q**(3455/63)
Simplify ((k/(k*(k**(-10)*k)/k))/k**(1/14))/((k**(-3/13)/k*k)/k**(-1/13)) assuming k is positive.
k**(1835/182)
Simplify ((((n**0/n)/n)/n*n)**(-36/5)*(n*n*n*n*n**0/n*n)**(3/16))**(31/3) assuming n is positive.
n**(3131/20)
Simplify (o**(5/4)/o*o**(4/7)*(o**(-1)/o*o*o)/(o*o**(-5/6)*o*o*o))**(3/26) assuming o is positive.
o**(-197/728)
Simplify (((x**(2/3))**(-4/3))**(2/9))**(-47) assuming x is positive.
x**(752/81)
Simplify (f**(-28))**(-3/2)/(f**(-2/5)/(f/(((f**(-2/33)*f)/f*f)/f)*f)) assuming f is positive.
f**(7336/165)
Simplify ((h/h**11)/(h**7*h*h))/(h**11*h/(h*h**(3/2))) assuming h is positive.
h**(-57/2)
Simplify (r**(6/5)*r)**12/(r*r*r*r**(2/7)*r*r)**(-5/7) assuming r is positive.
r**(7393/245)
Simplify (i*i*(((i/(i/(i/(i*i**(-1/14)))))/i)/i)/i*i)**(-3)/(i**15*i)**44 assuming i is positive.
i**(-9859/14)
Simplify (((((h/h**7)/h)/h*h)/h)/h*(h*h**(-4/7)*h)/h*h)/(h*h**4*h*h)**7 assuming h is positive.
h**(-396/7)
Simplify k**(-2/29)/(k/k**(-3/5))*k**(2/3)*(k*k**(-1))/k*k assuming k is positive.
k**(-436/435)
Simplify ((m/m**(-9))/m**(-8)*m**7*m**(1/5)/m)**(-5/2) assuming m is positive.
m**(-121/2)
Simplify l**(-1/61)*l**(9/2)*(l*l**0)**(-14/5) assuming l is positive.
l**(1027/610)
Simplify ((l*l*l**(1/11)*l*l)/(l/l**(-4/3)))/(l*l/l**(1/3)*l*l)**(-3/16) assuming l is positive.
l**(1291/528)
Simplify (u**(18/5)/(u*(u**(-9)*u)/u))**32 assuming u is positive.
u**(1856/5)
Simplify (i**(3/4))**31/(i*i/((i/i**(-1/6))/i)*i)**(-1/2) assuming i is positive.
i**(74/3)
Simplify t**(2/9)*t/(t/(t/(t/(t*t*t/(t**(-7)/t*t)))*t))*(t**(1/2)/t)**(-38) assuming t is positive.
t**(272/9)
Simplify (i**1/(i/i**(-6))*i**(2/13)*i**(1/5))**(-3) assuming i is positive.
i**(1101/65)
Simplify (((p/(p/(p/(p*p/(p**(-4/5)*p)*p))))/p*p/p**(-2/5))/(p**(-2/9)/(p*p**(-1/2))))**35 assuming p is positive.
p**(-427/18)
Simplify ((u*u*u*u/(u**(-1/2)/u)*u*u/(u*u/((u**(-1)*u)/u)*u))**(4/35))**(-28) assuming u is positive.
u**(-56/5)
Simplify m**(-5/3)*m**(-8)*(m/(m*m*m**(-4/11)*m))**(-1/16) assuming m is positive.
m**(-2525/264)
Simplify ((u**(-1/3))**45*u**2*u*u/u**8*u)**(1/11) assuming u is positive.
u**(-18/11)
Simplify (((c*c**(2/19)/c)/(c*c*c*c/c**(-5)))**(-37))**(-36) assuming c is positive.
c**(-225108/19)
Simplify (k**(2/5)*k**(1/31))/((k**2*k)/k**(-13)) assuming k is positive.
k**(-2413/155)
Simplify (p*p**11*p*p**(-9/2))/((p/(p**(-1/4)*p))/p*p*p**(-21)/p*p*p) assum | {
"pile_set_name": "DM Mathematics"
} |
36*o)*((0 - 5 + 3)*(5 + 0 - 3) + 4 + 3 - 4) in the form g + n*o and give n.
402
Express k + 4*k - 3*k + (-2 + 2 - 6*k)*(2 - 2 - 10) + 3*k + 0*k - k as z*k + u and give z.
64
Rearrange -6*k + 2*k + 3*k + (-178*k - 140*k + 89*k)*(-1 + 0 + 3) to the form i*k + m and give i.
-459
Express -1 - v**2 - 3152*v - 10*v**3 + 3*v**2 - 19*v**3 + 3150*v in the form r*v**2 + m*v + a*v**3 + c and give r.
2
Rearrange -87*d**2 + 75*d**2 + d**3 - 423*d**4 + 421*d**4 + 44*d to the form s + q*d**3 + k*d**2 + o*d**4 + m*d and give m.
44
Express -18*k**2 + 10*k**2 + 11*k**2 - 167 + 479 as f + q*k**2 + p*k and give q.
3
Rearrange (1 - 4 + 0)*(3*v**3 + 25*v - 27*v - 2*v**3) + 26*v**2 - 26*v**2 - 7*v**3 to the form d*v**3 + x + y*v**2 + p*v and give d.
-10
Rearrange 32 - 28*v**2 + 88*v**2 + 25 - 31*v**2 - 26*v**2 to n*v + u*v**2 + g and give n.
0
Express 575*f - 105*f - 252*f + 621*f as k*f + n and give k.
839
Express (-4 + 1 + 1)*(18*u - 37*u + 20*u) - 14 - 7*u + 14 in the form m + p*u and give p.
-9
Rearrange (0 + 3 - 5)*(158*b - 21116 + 21116) + (-4 + 2 + 4)*(3 + 2*b - 3) to the form d*b + u and give d.
-312
Rearrange (-3*i + 3*i - i)*(4 - 1 - 1) + (5*i - 4*i + i)*(-2 - 5 - 3) - 4*i + 7*i + 4*i - 2*i + 4*i + 0*i to k*i + w and give k.
-13
Rearrange 56*u + 113*u - 26*u + 18*u to l*u + c and give l.
161
Express 4*s - 9*s**3 + 7*s**4 + 7*s**4 - 13*s**4 in the form c*s**2 + h + g*s + n*s**4 + j*s**3 and give c.
0
Express (4*f**3 - 2*f**3 - f**3)*((-1 + 3 + 0)*(-2 + 2 + 2) + 1 + 2 + 0) in the form m*f + j + r*f**3 + i*f**2 and give m.
0
Rearrange (0*p + 4*p - 3*p)*(2*p + 0*p + 0*p)*(-1 + 0 - 2)*(-12 + 22 + 36) to c*p + a*p**2 + j and give j.
0
Rearrange -46 - 4*s**3 + 98 - s + 4*s**4 - 54 + 2*s - 3*s**3 to the form g*s**2 + o*s**3 + z*s**4 + m*s + n and give n.
-2
Rearrange -2*v**3 + 162*v**2 - 90*v**2 - 81*v**2 + 1 + 2*v**4 to the form k*v**3 + h*v**4 + j + z*v**2 + c*v and give j.
1
Express y**3 + 0*y**2 + 0*y**2 + 2*y**3 + 0 + 0 + (0*y**2 + 0*y**2 + y**2)*(2*y + 0 + 0) + 67 - 67 - 9*y**3 in the form x*y**3 + o + s*y + z*y**2 and give o.
0
Rearrange -9 + 1 + 10 + 35*b**2 to a*b + z*b**2 + m and give m.
2
Express 1 - 13*l - 13*l + 1 - 115*l**3 + 27*l in the form w + s*l + t*l**2 + i*l**3 and give w.
2
Rearrange -7*h**2 - 25*h**2 - 3*h**3 - 10 + 6 to the form d*h + a*h**3 + q*h**2 + t and give a.
-3
Express -43 + 6 + 1 + 4069*o**4 + o**3 - 4068*o**4 in the form k*o + y*o**2 + d + s*o**3 + b*o**4 and give y.
0
Rearrange 56*v - 83*v - 1 + 37*v + 20*v to the form r + m*v and give r.
-1
Rearrange (3*a - 2 + 1 - 2*a)*(23*a + 23 - 30 + 13*a + (-a - a + 0*a)*(1 + 3 - 3)) to the form v*a + u*a**2 + d and give v.
-41
Express x + x + 0*x + (-2*x - 3 + 3)*(2 - 3 + 0) - 218*x - 466*x + 86*x + (-4 + 4 - x)*(-4 + 1 + 1) + 1 - 1 + 2*x as s*x + h and give s.
-590
Express -7*m**2 + m**3 + 133*m - 5*m**2 - 134*m + (-4 + 7 + m**2 - 4)*(3*m + 0 + 0) in the form q*m + w*m**3 + c + s*m**2 and give s.
-12
Rearrange (-2*a + a - a)*(-261 + 45*a + 261 + (-11 - 2*a + 11)*(0 + 3 - 4)) to w + m*a**2 + k*a and give m.
-94
Rearrange 43*k - 72*k - 98*k to m*k + c and give m.
-127
Express (-4*b + b + 0*b)*(-2 + 2 - b)*(-2*b + 4*b - 6*b) as x*b + y*b**3 + i*b**2 + d and give y.
-12
Express -16*j - 26 + 17*j + 26 as h*j + k and give h.
1
Rearrange (22 + 8 - 3)*(2 - 1 + 4)*(u + 3*u - 2*u) to the form j*u + r and give j.
270
Express (15*q + q - 4*q)*(7 + 1 + 0)*(1 + 6 + 3) in the form m*q + f and give m.
960
Rearrange -4 + 12 - 2*k**2 + 0*k**2 - k**2 to m*k + f*k**2 + g and give g.
8
Rearrange -5240*x - 5877*x + 12458*x to the form b + i*x and give i.
1341
Express (-5*f**2 - 2*f**2 + 8*f**2)*(0*f**2 + 0*f**2 - 2*f**2) + (-2*f + 5*f + f)*(6*f**3 - 8 + 8) in the form o*f**4 + b*f**3 + a*f + y + l*f**2 and give o.
22
Express -124 + 131 - 3*l**4 + 7*l**4 + 0*l**4 + 4*l**2 in the form d*l**2 + x + y*l + h*l**3 + j*l**4 and give d.
4
Rearrange -1 - 356*b**2 + 379*b**2 + 3 + (0*b + 3*b**2 + 0*b)*(4 + 0 - 2) - 2*b**2 + 0*b**2 + 0*b**2 to the form r*b + o + k*b**2 and give o.
2
Rearrange (-268 - 50*p + 133 + 129)*(-4 + 3 + 2) to the form g*p + o and give g.
-50
Rearrange (0*v - 2*v - v)*(1 - 1 - v) + (-4 + 4 + 2)*((0 + 6 + 0)*(v**2 + 2*v**2 - 4*v**2) + 21 - 21 + 15*v**2) to the form u + f*v + n*v**2 and give n.
21
Express 0*d**2 + 3*d**2 - 274*d**3 + 248*d**3 as f + a*d**3 + i*d + q*d**2 and give q.
3
Rearrange -2 + 16*p**2 + 43*p**2 + 16*p**2 + 5*p**2 to w + h*p**2 + j*p and give h.
80
Rearrange 15 + 11*n**2 - 16 + n**2 + 6*n - 4*n to the form j*n + p + c*n**2 and give j.
2
Express (43*r + r - 18*r + 1)*(-4 + 3 + 2)*(3 + 28 + 45) as p*r + c and give c.
76
Rearrange 562 - 71 + 24 + 2*p**2 to z*p**2 + j*p + k and give z.
2
Express (-8*d + 67*d + 41*d)*(7 - 4*d - 7) as s*d + h*d**2 + u and give h.
-400
Rearrange 3384*d**4 - 1 + 4 - 2 - 2*d**3 - 10*d - 3386*d**4 to p*d + w*d**4 + q + g*d**3 + c*d**2 and give p.
-10
Express 62 + 31*b + 10 + 24 + 26*b - 56*b in the form j + z*b and give j.
96
Express (3 + r - 3 + (2*r - r - 3*r)*(0 - 4 + 3))*(105*r**2 - 195*r**2 + 89*r**2 + 347) in the form m*r + h*r**2 + j*r**3 + o and give m.
1041
Rearrange -b**4 + 1439 - 719 - 714 - 4*b + b**3 to the form v*b + p*b**4 + z*b**2 + u + n*b**3 and give v.
-4
Express 3*v - 7*v + 4 - 2*v**3 + 0*v**3 - 5*v - 39*v as b*v**2 + c*v + m*v**3 + o and give o.
4
Express -28*k + 3 - 55*k - 27*k - 52*k in the form v + m*k and give m.
-162
Rearrange 447*z - 2 + 2 - 81*z + 245*z to the form w*z + c and give w.
611
Express 11*t**2 - 25*t - 107*t - 20*t**2 + 11*t**2 as p*t + v + j*t**2 and give j.
2
Rearrange 12*o**3 - 2*o + 108*o**2 + 2*o**4 - 17*o**3 - 107*o**2 + 32*o**3 to f + z*o**2 + j*o**3 + k*o + g*o**4 and give j.
27
Express 459*z**2 - 8 + 0 - 8 + 16 in the form q + o*z**2 + g*z and give o.
459
Rearrange -21 - 10 - 9 + 7 + 7*a**3 to the form j*a**3 + p*a + s*a**2 + w and give w.
-33
Express (21*l - 62*l - 60*l - 5*l)*(0 - 4 + 2 + (2 - 4 + 0)*(0 - 1 + 4)) in the form m + i*l and give i.
848
Rearrange 3 + 44*w**2 - 9*w**2 + 10*w**2 - 1 to the form q*w**2 + y*w + a and give q.
45
Rearrange 2*o**3 - 25*o - o**2 + 23 - 24 + 3*o**2 + 26*o to the form w + d*o**3 + h*o + b*o**2 and give b.
2
Express (-2 + 3 - 3)*(8563 - 8563 - 659*l) in the form i*l + x and give i.
1318
Express (12*x - 366*x - 424*x + 1480*x)*(5 - 5 + 6*x) in the form f*x + l + b*x**2 and give b.
4212
Express 15*x - 21*x - 6*x - 17*x - 18*x - 23*x**2 as w + u*x + d*x**2 and give u.
-47
Express (w + 0*w - 3*w)*(-36611*w - 3 + 38768*w + 6) as d + i*w + g*w**2 and give d.
0
Rearrange 39 - 82 + 12*x + 43 + 50*x to c*x + g and give c.
62
Express -1 + 62*w + 7 + 53*w - 20*w - 4 as b + y*w and give b.
2
Rearrange (-4*q**2 - 16*q + 1 + 16*q)*(5*q**2 - 13*q**2 - 9*q**2) to the form t*q**4 + p + s*q**2 + v*q + m*q**3 and give t.
68
Express (k**3 - k**2 - 16*k**2 + k**2)*(6 + 14*k - 6) - 4*k**4 - k**2 + k**2 as l + a*k**3 + x*k + r*k**4 + j*k**2 and give a.
-224
Rearrange 205*c**2 + 2*c**3 + 0 + 2*c**4 + 2 - 412*c**2 + 23*c + 204*c**2 to the form g*c + y*c**4 + d + n*c**3 + q*c**2 and give d.
2
Rearrange (5*g - g + 1395 - 1425)*(4*g - 3*g + 0*g) to the form m*g + i*g**2 + z and give z.
0
Express b + b**3 + 2*b - 2*b + 4*b**3 as u*b + d*b**2 + l*b**3 + k and give u.
1
Express (-9 + 14 + 3)*(2*f + f - 4*f)*(f + 2*f - 4*f) in the form n + q*f + r*f**2 and give r.
8
Rearrange 4*z**2 + z**2 - 18406*z - 2*z**3 - 4*z**2 + 18405*z - 2 to the form b*z**2 + k*z**3 + h*z + w and give b.
1
Express -1 + 22*g**3 - 27*g**3 + 3 + 30*g - 26*g as x*g**2 + f + u*g + v*g**3 and give u.
4
Rearrange -8*f - 2*f + 12 - 7 to the form m + n*f and give n.
-10
Rearrange -135 - 200*d**2 + 636 + 202*d**2 to the form b + q*d**2 + s*d and give q.
2
Express -8 - 4*x**2 + 19*x**2 - x - 3 + 14 in the form i*x + p*x**2 + s and give p.
15
Rearrange (-1 - 2 + 5)*(0*o + 3*o - 4*o) + 4 - 4 + 6*o + 2*o + 3*o - o + (1 + 3 - 2)*(-3*o + 4*o - 2*o) to the form l*o + f and give l.
6
Express (0*n - 4*n - 2*n)*(-1 + 1 - 2*n**2) + (-3*n**2 + 0*n**2 + 0*n**2)*(6*n + 7*n - 15*n) as u*n**2 + d + p*n**3 + f*n and give p.
18
Rearrange -6 - 2*t**2 - 2*t - 3*t**3 - 8*t**3 + 3*t**2 + 3 + 4*t to the form m + x*t**3 + f*t + k*t**2 and give f.
2
Rearrange (-80*h + 163*h + 111*h)*(3*h - 2*h - 3*h) to n*h**2 + p*h + l and give n.
-388
Rearrange -5*z + 9* | {
"pile_set_name": "DM Mathematics"
} |
802*n - 3
What is the b'th term of -230, -822, -1582, -2510, -3606?
-84*b**2 - 340*b + 194
What is the u'th term of -1645603, -3291220, -4936837, -6582454?
-1645617*u + 14
What is the l'th term of 30097, 58141, 86185, 114229?
28044*l + 2053
What is the n'th term of 472594, 945189, 1417782, 1890373, 2362962?
-n**2 + 472598*n - 3
What is the m'th term of 91791381, 91791386, 91791391, 91791396, 91791401, 91791406?
5*m + 91791376
What is the p'th term of 413160, 826317, 1239500, 1652721, 2065992, 2479325, 2892732?
2*p**3 + p**2 + 413140*p + 17
What is the m'th term of 930260, 1860701, 2791142, 3721583, 4652024?
930441*m - 181
What is the r'th term of 2168819, 4337677, 6506557, 8675471, 10844431, 13013449, 15182537, 17351707?
2*r**3 - r**2 + 2168847*r - 29
What is the f'th term of -131580249, -131580247, -131580245, -131580243?
2*f - 131580251
What is the n'th term of 2576301, 2576298, 2576295?
-3*n + 2576304
What is the x'th term of -25647, -51020, -76393, -101766?
-25373*x - 274
What is the u'th term of 221521, 221677, 221929, 222271, 222697, 223201, 223777, 224419?
-u**3 + 54*u**2 + u + 221467
What is the b'th term of 146659, 586791, 1320381, 2347429, 3667935, 5281899, 7189321?
146729*b**2 - 55*b - 15
What is the q'th term of -5597130, -5597123, -5597112, -5597097, -5597078, -5597055, -5597028?
2*q**2 + q - 5597133
What is the w'th term of 813774088, 813774084, 813774094, 813774124, 813774180, 813774268, 813774394?
w**3 + w**2 - 14*w + 813774100
What is the g'th term of 144471, 144607, 144743, 144879, 145015?
136*g + 144335
What is the f'th term of 7397, 29519, 66353, 117899, 184157, 265127?
7356*f**2 + 54*f - 13
What is the b'th term of 13, -639, -1291, -1943?
-652*b + 665
What is the h'th term of -5435692, -10871337, -16306982, -21742627, -27178272?
-5435645*h - 47
What is the i'th term of 2374066, 2374083, 2374114, 2374159, 2374218, 2374291, 2374378?
7*i**2 - 4*i + 2374063
What is the c'th term of 3706, 2677, 1648, 619, -410, -1439?
-1029*c + 4735
What is the g'th term of -5869, -7884, -9899?
-2015*g - 3854
What is the p'th term of -550890, -1101777, -1652664, -2203551, -2754438, -3305325?
-550887*p - 3
What is the r'th term of -18384, -36687, -54986, -73287, -91596, -109919?
-r**3 + 8*r**2 - 18320*r - 71
What is the m'th term of -391888, -3134940, -10580300, -25079122, -48982560, -84641768?
-391859*m**3 - 39*m + 10
What is the k'th term of 21896151, 43792302, 65688453, 87584604?
21896151*k
What is the h'th term of 284565, 2276574, 7683457, 18212652, 35571597, 61467730, 97608489, 145701312?
284573*h**3 - h**2 + h - 8
What is the f'th term of -35747314, -35747289, -35747264, -35747239?
25*f - 35747339
What is the m'th term of 3950, 15835, 35632, 63341, 98962, 142495, 193940?
3956*m**2 + 17*m - 23
What is the g'th term of 6182023, 6182022, 6182021, 6182020, 6182019?
-g + 6182024
What is the k'th term of -13611, -55982, -127119, -227022, -355691?
-14383*k**2 + 778*k - 6
What is the c'th term of -7556, -7491, -7388, -7253, -7092, -6911, -6716, -6513?
-c**3 + 25*c**2 - 3*c - 7577
What is the a'th term of -29198644, -29198643, -29198642, -29198641?
a - 29198645
What is the d'th term of 266882, 266829, 266770, 266699, 266610, 266497, 266354, 266175?
-d**3 + 3*d**2 - 55*d + 266935
What is the g'th term of -556134, -556090, -556046, -556002, -555958?
44*g - 556178
What is the b'th term of -3855, -7775, -11687, -15585, -19463, -23315, -27135, -30917?
b**3 - 2*b**2 - 3921*b + 67
What is the v'th term of 25, -88, -329, -728, -1315, -2120?
-5*v**3 - 34*v**2 + 24*v + 40
What is the j'th term of 209467, 418728, 627989, 837250, 1046511, 1255772?
209261*j + 206
What is the h'th term of -7746, -67473, -231118, -550641, -1078002, -1865161, -2964078?
-8660*h**3 + h**2 + 890*h + 23
What is the q'th term of 29941, 30077, 30301, 30613, 31013, 31501?
44*q**2 + 4*q + 29893
What is the d'th term of 370, 935, 1746, 2797, 4082, 5595?
-d**3 + 129*d**2 + 185*d + 57
What is the w'th term of 16420, 19332, 24186, 30982, 39720, 50400, 63022?
971*w**2 - w + 15450
What is the u'th term of -28467, -28623, -28779, -28935?
-156*u - 28311
What is the v'th term of 312232, 624446, 936660, 1248874?
312214*v + 18
What is the o'th term of 193196010, 386392022, 579588034, 772784046?
193196012*o - 2
What is the s'th term of -160993849, -160993848, -160993847, -160993846?
s - 160993850
What is the m'th term of -1007, -1872, -2579, -3128, -3519, -3752?
79*m**2 - 1102*m + 16
What is the d'th term of -101042081, -101042080, -101042079, -101042078, -101042077?
d - 101042082
What is the i'th term of -5433, -9502, -13569, -17634?
i**2 - 4072*i - 1362
What is the a'th term of -66722, -266815, -600296, -1067159, -1667398, -2401007, -3267980?
a**3 - 66700*a**2 - 23
What is the q'th term of 4326, 4116, 3904, 3690, 3474, 3256, 3036?
-q**2 - 207*q + 4534
What is the s'th term of 315, 2876, 9859, 23484, 45971, 79540, 126411, 188804?
370*s**3 - 9*s**2 - 2*s - 44
What is the o'th term of 7051814, 14103607, 21155400, 28207193, 35258986, 42310779?
7051793*o + 21
What is the a'th term of 1334048, 2668078, 4002108, 5336138?
1334030*a + 18
What is the u'th term of -23754213, -23754213, -23754203, -23754177, -23754129, -23754053?
u**3 - u**2 - 4*u - 23754209
What is the p'th term of 280156, 560292, 840428, 1120564, 1400700?
280136*p + 20
What is the d'th term of -5917, -12145, -18373?
-6228*d + 311
What is the a'th term of -19319, -78163, -176533, -314429, -491851, -708799?
-19763*a**2 + 445*a - 1
What is the d'th term of 2781, 1631, 459, -747, -1999, -3309?
-2*d**3 + d**2 - 1139*d + 3921
What is the u'th term of 9856, 32273, 69634, 121939, 189188, 271381, 368518?
7472*u**2 + u + 2383
What is the k'th term of -148795, -595197, -1339193, -2380777, -3719943, -5356685?
k**3 - 148803*k**2 + 7
What is the l'th term of -482, -1032, -1586, -2144, -2706?
-2*l**2 - 544*l + 64
What is the p'th term of 7849451, 15698904, 23548361, 31397822?
2*p**2 + 7849447*p + 2
What is the z'th term of 302, 2009, 6598, 15497, 30134, 51937, 82334, 122753?
238*z**3 + 13*z**2 + 2*z + 49
What is the f'th term of -49341, -49885, -50429, -50973?
-544*f - 48797
What is the b'th term of -48256, -96535, -144838, -193165, -241516, -289891?
-12*b**2 - 48243*b - 1
What is the h'th term of -154598874, -154598878, -154598884, -154598892, -154598902, -154598914?
-h**2 - h - 154598872
What is the t'th term of 321747, 321741, 321731, 321717, 321699, 321677?
-2*t**2 + 321749
What is the g'th term of 4058, 16262, 36594, 65048, 101618?
-g**3 + 4070*g**2 + g - 12
What is the l'th term of 2489, 4837, 7203, 9599, 12037, 14529, 17087?
2*l**3 - 3*l**2 + 2343*l + 147
What is the o'th term of -261973528, -523947053, -785920578?
-261973525*o - 3
What is the i'th term of -1387627, -1387640, -1387661, -1387690, -1387727?
-4*i**2 - i - 1387622
What is the v'th term of -18758, -37487, -56204, -74903, -93578?
v**3 - 18736*v - 23
What is the w'th term of 2470701, 2470708, 2470715, 2470722, 2470729, 2470736?
7*w + 2470694
What is the t'th term of 1548, 1487, 1426, 1365?
-61*t + 1609
What is the a'th term of 4540, -3890, -17948, -37640, -62972, -93950, -130580?
-a**3 - 2808*a**2 + a + 7348
What is the d'th term of 47163196, 47163201, 47163218, 47163253, 47163312, 47163401?
d**3 - 2*d + 47163197
What is the o'th term of 15851882, 15851861, 15851826, 15851777, 15851714, 15851637?
-7*o**2 + 15851889
What is the w'th term of -3492, -9714, -15936, -22158, -28380?
-6222*w + 2730
What is the n'th term of -21602, -30791, -39980?
-9189*n - 12413
What is the y'th term of -8293, -15613, -22933, -30253, -37573, -44893?
-7320*y - 973
What is the x'th term of 13764791, 13764793, 13764795, 13764797, 13764799, 13764801?
2*x + 13764789
What is the h'th term of 15283, 15360, 15489, 15670?
26*h**2 - h + 15258
What is the z'th term of 8433, 6768, 4027, 216, -4659, -10592, -17577?
z**3 - 544*z**2 - 40*z + 9016
What is the v'th term of -22649, -25385, -28121?
-2736*v - 19913
What is the w'th term of 1166990, 1166989, 1166982, 1166963, 1166926, 1166865?
-w**3 + 3*w**2 - 3*w + 1166991
What is the d'th term of 4427, 16741, 35533, 59387, 86887, 116617, 147161, 177103?
-236*d**3 + 4655*d**2 + d + 7
What is the y'th term of 108039, 432178, 972415, 1728756, 2701207, 3889774, 5294463, 6915280?
y | {
"pile_set_name": "DM Mathematics"
} |
(-37)/63 - 12/216*-8?
-1/7
What is (-5*(-9)/45)/((-2)/(-8))?
4
What is the value of (-1)/2 + (-2)/(8/(-6))?
1
Calculate (497/(-35) + 14)/(6/(-5)).
1/6
What is 72/154 + (-30)/105?
2/11
Evaluate 3 + 4 + 160/(-25) + 0.
3/5
(3/2)/(18/(-120)*2)
-5
Calculate (-99)/66*5/(-3).
5/2
Evaluate 13/3 - (20/(-3) - -7).
4
((-5)/(-3))/(8/12 + -1)
-5
18/(-243) - (-520)/(-270)
-2
What is (2*(15/54)/5)/(-1)?
-1/9
What is the value of (5 + -2)/(0 + 1)?
3
((-287)/(-35) - 7)/((-6)/(-20))
4
Evaluate (1 - 2)*-2 - (-692)/(-519).
2/3
-1 + (1 - -4)/5
0
Evaluate ((-30)/210)/(((-1)/(-7))/(-1)).
1
Evaluate (136/(-84))/17*3.
-2/7
What is (-6)/(-7)*((-315)/(-30))/21?
3/7
What is -7*1/(-21)*3?
1
Evaluate 11/9 + (-52)/234.
1
What is (4/6)/((-16)/96) - -5?
1
Evaluate ((-1)/((-3)/2))/(1340/(-603)).
-3/10
1/(6/(-4 + 10))*1
1
Evaluate (-5 - -7 - 1)*(-6)/15.
-2/5
Calculate -2 + 4/(-24)*-4.
-4/3
Calculate 340/1275*(-10)/28.
-2/21
-9*(-4)/18*2
4
What is the value of (28/(-20) + 1)*(4 + 1)?
-2
((-2)/4)/((-11)/11)
1/2
Evaluate ((-140)/15)/(120/(-90)).
7
What is the value of -10 + 7 + 8 - 32/6?
-1/3
Evaluate 812/(-87)*3/(-4).
7
Calculate (0 + -2)*-2*(-293)/2930.
-2/5
What is the value of 16/(-5) - -1 - (-11 + 9)?
-1/5
Calculate (208/234)/((-8)/(-6)).
2/3
What is (1 + 0)/((-164)/1148)?
-7
Evaluate -3*4*4/48.
-1
What is the value of (30/20)/((-18)/8)?
-2/3
What is the value of 5/(-50)*(-2 - -4)?
-1/5
Calculate 12/(-30)*(-15)/21.
2/7
What is the value of (-22)/4*468/(-429)?
6
What is (-22)/(-16) + (9/(-24) - 0)?
1
Evaluate (3 + 105/(-45))*9/(-33).
-2/11
Evaluate (-93)/(-21)*1 - (-28)/49.
5
Evaluate -3 + (4 + (-9)/3)*4.
1
(-8)/1*171/342
-4
Calculate (35/14)/((-172)/48 + 4).
6
(-546)/(-168) - (-6)/8
4
What is the value of -3 + 6/3 + 0/(-7)?
-1
Calculate (1*(-3)/(-18))/(1/(-3)).
-1/2
What is 1*-4*(-2)/88?
1/11
Evaluate (-2)/(-3)*(-4 - (-100)/16).
3/2
Evaluate 1*((-60)/(-4) + (1 - 9)).
7
Evaluate (-25)/10*(-3 + (-69)/(-15)).
-4
Calculate ((49/(-35))/1)/(5/(-5)).
7/5
Calculate 8/(-44) - (-75)/(-11).
-7
Calculate (-34)/(-10) - (-5 - (-54)/10).
3
Calculate 12/20 + 63/(-30).
-3/2
Calculate -3 - (1 - (2 - -3)) - 6.
-5
What is (12*(2 - 1)/(-2))/2?
-3
What is 29/22 + (-13)/(143/(-2))?
3/2
Evaluate 4*1*(-675)/450.
-6
What is the value of (-4)/(-12) + (-2)/9?
1/9
What is the value of 5/(-2)*(-16)/20?
2
What is 2/(-6) - (0 + 66/(-306))?
-2/17
Evaluate (3/4)/(360/96).
1/5
1*-1 - (-8)/144*21
1/6
Evaluate (20/(-65))/(10 + -8).
-2/13
Calculate (18/15)/(-1) + (-57)/(-60).
-1/4
What is the value of -9 + 94/18 - (-2)/(-9)?
-4
What is (-20)/(-6) - 291/97?
1/3
Calculate 2*(-3)/72*-4.
1/3
Calculate -3 - (0 + 6/4*-2).
0
(5124/(-300) - -17)/(14/10)
-2/35
Evaluate (20/30)/(2/(-3)).
-1
Evaluate (54/(-756))/(2/12).
-3/7
Calculate (-1*2/18)/(28/(-56)).
2/9
What is (-9 - -13) + (1 - -1)/(-2)?
3
What is 42/(-35) + 384/270?
2/9
What is the value of 72/288 + -1*39/12?
-3
436/(-190) + 2 + 12/30
2/19
What is 1/(-2) + (-5)/(30/(-27))?
4
What is 0 - 2/9 - 88/(-72)?
1
What is (10/(-35))/((-6)/14)?
2/3
What is (-9 - 2) + 3 + -1 + 3?
-6
What is (3/(-9))/(1/(-3))?
1
Evaluate (-1)/(-1)*(-2 - 13 - -11).
-4
What is the value of 72/45*(-5)/2?
-4
Calculate 10/(-12) - 25/(-75).
-1/2
What is 15/(-27)*2/5?
-2/9
11/66 - (-33)/18
2
What is the value of 1*(5 - 2) + -69 + 68?
2
0/(4 - (-20)/(-4))
0
What is (-200)/(-75) - 2/3?
2
What is 2/16 - (3 + 324/(-96))?
1/2
37/(-18)*-3 - 6
1/6
What is ((-1)/(-14))/((-4)/(-42)) + 0?
3/4
3/(72/124) + -5
1/6
(-275)/(-33) + -11 - -1*2
-2/3
What is -5*(-2)/4*4/20?
1/2
4 - (-6 - 3/((-12)/28))
3
4*3/(-12)*4
-4
What is the value of ((-6)/(-4))/(5*6/20)?
1
What is (-6)/(-4) - ((-375)/(-40))/5?
-3/8
What is the value of (-205)/492*18/(-10)?
3/4
Evaluate 6 - (6 + (-264)/18)/(-2).
5/3
(15/20)/(42/448) + -1
7
(-36)/(-10) - (6 - (-2 + 5))
3/5
0 - (4 + -1) - -3
0
Calculate (-468)/(-182) + (-12)/(-28).
3
What is the value of (-4)/(-2 + -6 + -10)?
2/9
What is the value of (28/70)/(1/((-15)/42))?
-1/7
What is the value of -27*(-4)/12 - (0 + 5)?
4
What is 2/(-4) + 5/(-6)?
-4/3
What is the value of (16/10)/(122/(-305))?
-4
What is (-6 - -2)/(-2) - (-390)/(-210)?
1/7
Calculate (-7)/((-14)/3)*(-32)/(-12).
4
What is the value of -3 + (6 + -2 - 2)?
-1
Calculate 444/(-306) + 2 - 4/6.
-2/17
What is the value of -18 - -21 - (-71)/(-23)?
-2/23
What is the value of ((-45)/6)/(-1*(-2 + -4))?
-5/4
Evaluate 3/(-12) + 45*10/72.
6
What is the value of (2 - 65/30)/((-6)/(-54))?
-3/2
What is (9*(-40)/30)/(6/(-4))?
8
What is (-5)/(-1) - 2/2?
4
What is (13 - 16) + (8 - 1)?
4
What is the value of 0/2 - (-6 + (-360)/(-64))?
3/8
What is the value of ((-16)/18)/(-9*(-4)/(-324))?
8
What is the value of (2 - 17)/(10/(-4))?
6
(-95)/(-60) + 14/(-189)*-9
9/4
What is (-1)/(-4) - ((-328)/(-32) - 10)?
0
What is the value of (-2)/(-12)*-11 - 100/(-60)?
-1/6
((-13)/4 - -4)/((-9)/72)
-6
Calculate ((-1)/(-3))/(-9 + 963/108).
-4
What is the value of 0/1 - ((-405)/30 + 13)?
1/2
What is the value of -1 + (6/15 - 17/5)?
-4
(9/(-44 - -8))/(7/(-4))
1/7
What is (6/(-4))/(-78*(-9)/72)?
-2/13
What is the value of (61 - 68) + (-52)/(-6)?
5/3
What is the value of (-43)/(-6) + (-118 - -111)?
1/6
What is -1 + 390/48 - 7?
1/8
(2/(4/27))/((-894)/(-298))
9/2
144/168*2/6
2/7
(6/(-21))/(-6*(-11)/(-462))
2
What is (-14)/35 - (-6)/((-360)/(-39))?
1/4
What is the value of (-4 - -5)*((-40)/14 - -2)?
-6/7
24/(-1980)*-11*5/(-3)
-2/9
2/4*((-4896)/85)/(-24)
6/5
Calculate 48/(-192)*8/(-18)*-1.
-1/9
Evaluate (8/(-9))/4*(-3)/(-2).
-1/3
What is 1/(-2) + (-1)/6?
-2/3
48/(-44)*3/6
-6/11
Evaluate -16*5/(-10) - 6.
2
((-440)/(-110))/((-1)/2)
-8
-3 - 1 - (11 + 918/(-63))
-3/7
(-64)/(-14) - (10 + -6)
4/7
Calculate (22/55)/(1*42/15).
1/7
What is the value of (-36)/6 - (-3 - 1) - -5?
3
(-9)/3 + -6 + 10
1
Evaluate 0/((-2)/4*(-5 - -3)).
0
What is (10/(-50))/(5/5)?
-1/5
Calculate 3*(45/27 - 1)*1.
2
What is the value of (-15 - 31/(-2))*0/(-1)?
0
Evaluate (-40)/24*54/(-45).
2
Evaluate (-6)/18 - 2/(-18)*1.
-2/9
Calculate (5 - (-20)/(-5)) + 7/(-6).
-1/6
Evaluate 2*76/(-26) - -6.
2/13
What is 4/(-30) - 3149/(-1005)?
3
What is (3/15)/(16/(-20))?
-1/4
What is the value of 0 - (11/(-7) - (6 + -7))?
4/7
What is the value of 16/(-416)*(-1 + 5)/1?
-2/13
Calculate (6/(-10) - 1/(-5))*-5.
2
Calculate (288/88)/(-18) - 70/(-22).
3
-7*(-22)/(-231)*3/(-7)
2/7
Evaluate 2/(-17) + (-252)/(-119).
2
(-8)/4 + (-3)/(1/1)
-5
((-264)/40 + 7)*10
4
Evaluate (546/18)/(-7) - -4.
-1/3
Calculate 3*1/(-15)*10/3.
-2/3
Calculate 6/(-15) + ((-88)/20)/(-1).
4
Evaluate 2/6*6/7.
2/7
(56/21 + -2)*(-3)/5
-2/5
4*((-12 - -7) + 4)*1
-4
Evaluate (0 - 4) + 2*(-36)/(-20).
-2/5
What is the value of (-1 + 0)/((2*-1)/(-2))?
-1
Calculate (-46)/8 - ((-38)/8 + 4).
-5
Calculate (-46)/42 - (2 + (-88)/42).
-1
(12/(-9))/((-130)/117)
6/5
What is the value of (-11)/(-33)*(3 + 0)?
1
Evaluate ((-20)/(-24) - 1)*(-12)/16.
1/8
What is -8 + 26 + -13 + -15?
-10
Evaluate 135/180 - ((-4)/3 - -2).
1/12
(2 + (-12)/(-9))*9/6
5
What is 14/78 - 14*11/(-1001)?
1/3
What is (-6)/9*((-2)/(-2) - -2)?
-2
What is the value of (-6 + (-2 - -5))/1?
-3
(-1*(-4)/12)/((-11)/(-6))
2/11
What is (-116)/14 + (-168)/(-21)?
-2/7
Evaluate 0 - -1 - (45/10 - 4).
1/2
Evaluate ((-6)/105)/(5/25).
-2/7
What is the value of (-4)/(-10) - (-345)/75?
5
What is the value of (-4)/(-54)*-3*(-483)/(-322)?
-1/3
Calculate (1/10)/((-6)/(-15))*2.
1/2
10 - ((-7)/14 - 7/(-2))
7
What is the value of -4*6/(-9)*3/(-14)?
-4/7
What is the value of 8/(-9)*(-1332)/(-296)?
-4
What is (-44)/(-12) - 4 - -1?
2/3
What is 1/2 + (-3)/12?
1/4
18/(-5) + 72/24
-3/5
Evaluate 2*(-4)/32 - (-17)/4.
4
Calculate 3*(86/30 - 3).
-2/5
What is the value of (-26 + 16)/((-4)/(4/(-2)))?
-5
What is the value of 49/(-42) + 1 + (-62)/(-84)?
4/7
Calculate (-8)/(-6) + 26/(-6).
-3
(-1)/(-4)*22 + -5
1/2
(-51)/(-21) - (0 - (-4)/2)
3/7
What is the value of 35/28*(-3 - (-1)/(-1))?
-5
(-66)/(-60)*2 + 8/(-4)
1/5
What is the value of (-8)/(-48)*12 - (-12)/(-2)?
-4
What is the value of 7 - ((7 - 5) + 2)?
3
What is the value of 4/(-3)*21/(-308)*2?
2/11
30/225*5/1
2/3
What is (3/(-24))/(-2*(-3)/36)?
-3/4
What is the value of 2 + (8 + -14)*2/4?
-1
What is 553/(-79) + 9/2?
-5/2
Evaluate (18/24)/(12/(-64)).
-4
Calculate 2/16 + (3223/264 - 12).
1/3
Evaluate 10/3*(-192)/128.
-5
Evaluate (-374)/(-88) + 4/(-1).
1/4
What is the value of (-2 - -3)/(5/(-6)*3)? | {
"pile_set_name": "DM Mathematics"
} |
rkmz.
1/21
Calculate prob of picking 3 z when three letters picked without replacement from {e: 7, z: 3}.
1/120
Two letters picked without replacement from {s: 2, w: 1, m: 1}. Give prob of picking 1 s and 1 w.
1/3
Calculate prob of picking 2 y and 1 v when three letters picked without replacement from {f: 2, v: 3, y: 4}.
3/14
Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {h: 1, m: 2, j: 1}.
1/6
Four letters picked without replacement from {v: 4, o: 15}. Give prob of picking 1 o and 3 v.
5/323
Two letters picked without replacement from {h: 1, q: 2, x: 1, z: 2, y: 1, w: 2}. Give prob of picking 2 z.
1/36
Three letters picked without replacement from lmmnhxhhlmr. What is prob of picking 1 l and 2 m?
2/55
What is prob of picking 1 t and 1 e when two letters picked without replacement from tie?
1/3
What is prob of picking 1 g and 1 k when two letters picked without replacement from gtkkgggtttktzkgktttt?
5/38
Two letters picked without replacement from {h: 6, w: 10, u: 4}. Give prob of picking 2 h.
3/38
Two letters picked without replacement from {e: 3, o: 2, a: 5}. Give prob of picking 2 o.
1/45
Two letters picked without replacement from {v: 8, t: 8, q: 1}. Give prob of picking 1 q and 1 v.
1/17
What is prob of picking 2 q and 1 u when three letters picked without replacement from wqfqqwqu?
3/28
What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 2, n: 3, d: 7, f: 3, i: 3, v: 1}?
2/171
What is prob of picking 2 i and 1 u when three letters picked without replacement from uuuiuuiu?
3/28
Calculate prob of picking 1 w, 1 g, and 2 x when four letters picked without replacement from xyygigyxgxwxgwxwxi.
1/17
Two letters picked without replacement from {w: 6, g: 2}. Give prob of picking 1 w and 1 g.
3/7
Three letters picked without replacement from {n: 2, j: 3, i: 1, q: 1, v: 5}. Give prob of picking 2 n and 1 i.
1/220
Calculate prob of picking 2 n and 2 z when four letters picked without replacement from {n: 7, j: 2, z: 2}.
7/110
Three letters picked without replacement from nnlllpplnlnl. What is prob of picking 3 l?
1/11
Calculate prob of picking 2 o when two letters picked without replacement from {o: 12, b: 7}.
22/57
Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {g: 4, u: 1, c: 4, n: 5, q: 1, b: 3}.
5/153
Three letters picked without replacement from {l: 8, h: 3, i: 2, a: 1, s: 1, w: 2}. What is prob of picking 1 i, 1 s, and 1 a?
1/340
Calculate prob of picking 1 i and 1 f when two letters picked without replacement from bbsifbsabsisaffsf.
1/17
Calculate prob of picking 1 a and 1 m when two letters picked without replacement from mxaxaxmmamaxxmxmm.
7/34
Three letters picked without replacement from egfeemellmeefgf. What is prob of picking 2 l and 1 g?
2/455
Two letters picked without replacement from {b: 1, x: 2, e: 2, a: 1}. Give prob of picking 1 b and 1 x.
2/15
Calculate prob of picking 4 o when four letters picked without replacement from {o: 9, h: 9}.
7/170
Four letters picked without replacement from eeeleeeoeeeeeo. What is prob of picking 2 e, 1 l, and 1 o?
10/91
Three letters picked without replacement from kikkiiiiiiiiiikiiik. What is prob of picking 3 k?
10/969
What is prob of picking 1 k and 1 p when two letters picked without replacement from {p: 4, w: 6, k: 2, c: 1}?
4/39
Calculate prob of picking 1 b and 3 q when four letters picked without replacement from {t: 1, q: 1, b: 2}.
0
Three letters picked without replacement from yyyjyjyjjjjyyyyjyyy. Give prob of picking 3 j.
35/969
What is prob of picking 1 y and 2 w when three letters picked without replacement from wywwwwwwwwwywwwwyw?
105/272
Calculate prob of picking 2 d when two letters picked without replacement from {v: 1, h: 1, d: 1, w: 3, m: 1}.
0
Three letters picked without replacement from aaaeaeeeaeaeaaeeae. Give prob of picking 3 a.
7/68
Calculate prob of picking 1 i and 2 o when three letters picked without replacement from niniiodiiondoni.
18/455
Calculate prob of picking 1 p, 2 q, and 1 r when four letters picked without replacement from pqpqrqp.
9/35
Calculate prob of picking 1 c and 2 x when three letters picked without replacement from xububbbcxxcbxbvvbxb.
20/969
Two letters picked without replacement from {n: 1, k: 2, d: 4, o: 1}. Give prob of picking 2 d.
3/14
Four letters picked without replacement from {m: 1, k: 1, f: 3}. What is prob of picking 1 k and 3 f?
1/5
Two letters picked without replacement from ghhhr. Give prob of picking 1 h and 1 g.
3/10
What is prob of picking 1 f and 1 s when two letters picked without replacement from {a: 3, w: 1, e: 1, s: 2, f: 7}?
2/13
Three letters picked without replacement from uccxxpxxpppxqxu. What is prob of picking 1 p and 2 u?
4/455
What is prob of picking 2 z when two letters picked without replacement from {z: 13, i: 6}?
26/57
Calculate prob of picking 4 q when four letters picked without replacement from {q: 4, n: 3}.
1/35
What is prob of picking 1 j and 1 h when two letters picked without replacement from {j: 1, h: 2, y: 1, g: 10}?
2/91
What is prob of picking 3 a when three letters picked without replacement from {v: 5, w: 3, f: 1, a: 11}?
11/76
Two letters picked without replacement from zzqzzzqq. Give prob of picking 2 q.
3/28
Three letters picked without replacement from nannanxxannnnana. Give prob of picking 2 n and 1 a.
9/28
What is prob of picking 3 e when three letters picked without replacement from eeeheeehchehkek?
8/65
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {l: 1, u: 1, r: 8, w: 7}.
1/17
Three letters picked without replacement from hjujhjjhhhqhuhhjhq. Give prob of picking 1 u, 1 h, and 1 q.
3/68
Calculate prob of picking 2 j, 1 f, and 1 u when four letters picked without replacement from {u: 1, f: 3, j: 13}.
117/1190
Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, f: 2, m: 1, e: 1, z: 2, n: 2}.
1/36
Three letters picked without replacement from nnexnxnefjfeenjenn. What is prob of picking 3 e?
5/408
Calculate prob of picking 2 f and 2 t when four letters picked without replacement from {t: 7, f: 5}.
14/33
What is prob of picking 1 w and 1 h when two letters picked without replacement from {j: 2, w: 1, b: 5, h: 4, t: 2}?
4/91
Calculate prob of picking 1 o and 2 l when three letters picked without replacement from {n: 1, l: 2, o: 2, i: 4}.
1/42
Three letters picked without replacement from {h: 2, f: 1, n: 1, o: 1, a: 2, j: 2}. What is prob of picking 1 n, 1 a, and 1 f?
1/42
Two letters picked without replacement from {c: 2, l: 2, n: 1, b: 6}. Give prob of picking 1 l and 1 b.
12/55
Four letters picked without replacement from {g: 2, r: 2, p: 6, u: 3}. Give prob of picking 2 r and 2 p.
3/143
Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {r: 3, s: 2}.
3/5
Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {f: 7, k: 4, l: 1, b: 2}.
4/13
What is prob of picking 2 s when two letters picked without replacement from sssjujusjuusssuuju?
7/51
Four letters picked without replacement from kpvepqqvhqp. What is prob of picking 1 e, 1 p, 1 q, and 1 h?
3/110
What is prob of picking 1 f and 2 y when three letters picked without replacement from fymmyfmf?
3/56
Four letters picked without replacement from gggogtsugggg. Give prob of picking 1 u, 2 g, and 1 o.
28/495
Three letters picked without replacement from wwcwcwwwcwcwwccwwww. What is prob of picking 3 w?
286/969
Three letters picked without replacement from {p: 2, l: 5, a: 3}. What is prob of picking 1 l, 1 a, and 1 p?
1/4
Three letters picked without replacement from {w: 2, v: 6, k: 2, n: 1}. What is prob of picking 1 n, 1 k, and 1 v?
4/55
What is prob of picking 2 v when two letters picked without replacement from {k: 8, v: 2, d: 2, n: 2}?
1/91
Calculate prob of picking 1 r and 1 u when two letters picked without replacement from cbucqrq.
1/21
What is prob of picking 2 w when two letters picked without replacement from scwccwwcc?
1/12
Calculate prob of picking 2 h when two letters picked without replacement from hhchchhuhchu.
7/22
What is prob of picking 1 c and 1 y when two letters pi | {
"pile_set_name": "DM Mathematics"
} |
713*c**2 + 29090*c**2 + 4.
-12*c**2
Collect the terms in 2*f - 4624*f**2 + 5*f + 3*f - 10*f.
-4624*f**2
Collect the terms in 159528106*r**2 - 54979848*r**2 + 121326024*r**2.
225874282*r**2
Collect the terms in 37*a**2 - 2114 + 1058 + 46*a**2 + 1056.
83*a**2
Collect the terms in 276*f**3 - 6*f + 2*f**2 - 29*f + 84*f**3.
360*f**3 + 2*f**2 - 35*f
Collect the terms in 4*h**2 - 4221*h + 4291*h + 4*h**3 + 4*h**2.
4*h**3 + 8*h**2 + 70*h
Collect the terms in 23683*f - 46173*f + 24107*f.
1617*f
Collect the terms in 193*q**2 - 334*q + 801*q + 88*q**2 - 467*q - 171*q**2.
110*q**2
Collect the terms in -91*a**3 - a + 27*a**3 + a - 5*a + 39*a**3.
-25*a**3 - 5*a
Collect the terms in -704*q**3 + 5*q - 610*q**3 + 20*q**3 - 2*q.
-1294*q**3 + 3*q
Collect the terms in 2 - 4006*q - 2 - 3934*q + 7941*q.
q
Collect the terms in -1493 - s**2 + 596 + 225 + 221 + 228 + 223.
-s**2
Collect the terms in -837*w**2 + 41214*w + 41214*w - 82426*w.
-837*w**2 + 2*w
Collect the terms in -643*n + 142 + 210*n + 3*n**3 + 219*n + 53*n**2 + 214*n.
3*n**3 + 53*n**2 + 142
Collect the terms in -14*q - 192291345385727 + 192291345385727.
-14*q
Collect the terms in 341*c + 43277*c + 9510*c.
53128*c
Collect the terms in 371*u - 118*u - 205*u - 118*u.
-70*u
Collect the terms in 58*z**3 - 198*z**3 + 20*z**3 - 15*z**3 + 38*z**3.
-97*z**3
Collect the terms in 3974*p - 8009*p + 3612*p.
-423*p
Collect the terms in 9442474*m - 1 + 7428644*m - 9*m**2 + 8*m**2.
-m**2 + 16871118*m - 1
Collect the terms in 7*l**3 - 9*l**3 + 3563*l**2 - 3*l**3 + 7*l**3 - 3568*l**2.
2*l**3 - 5*l**2
Collect the terms in -5691*r - 11693*r + 17391*r.
7*r
Collect the terms in 93*d - 1917*d - 108626 + 108626.
-1824*d
Collect the terms in 1262 + 2*t + 1495 - 3294.
2*t - 537
Collect the terms in -2*u**3 + 127*u - 4 + 4 - 192*u**2 - 129*u.
-2*u**3 - 192*u**2 - 2*u
Collect the terms in -268*v + 74 - 53*v**3 + 266*v + 38*v**3.
-15*v**3 - 2*v + 74
Collect the terms in 3*j**2 - 2650*j + 85*j + 546*j + 2*j**2 + 433*j + 473*j.
5*j**2 - 1113*j
Collect the terms in -5216 + 2606 + 477*f + 2607.
477*f - 3
Collect the terms in -9405*w**2 + 693*w**2 - 3181*w**2 + 1018*w**2.
-10875*w**2
Collect the terms in -373515 - 66*b + 2*b**2 + 373515 + 0*b**2.
2*b**2 - 66*b
Collect the terms in -517 + 282 + 2*x + 2291*x**2 + 234.
2291*x**2 + 2*x - 1
Collect the terms in -34360 + 4102 + 8*b + 38*b.
46*b - 30258
Collect the terms in 12 - 4 + 462*f - 39*f**2 - 1401*f + 468*f + 2*f**2 + 469*f.
-37*f**2 - 2*f + 8
Collect the terms in 65*g - 17*g - 15*g - 15*g - 9*g - 10*g - 4*g.
-5*g
Collect the terms in -3*r**2 - r**2 + 397926117 + 4*r**2 - 397926113 + 19*r**3.
19*r**3 + 4
Collect the terms in -10*w**2 + 3*w - 19*w**2 - 11*w**2 + 163.
-40*w**2 + 3*w + 163
Collect the terms in -7*f + 2*f - 2*f + 1032516805*f**3 + 8*f - f - 1032516826*f**3.
-21*f**3
Collect the terms in -17266*h + 2607*h + 2922*h + 7400*h.
-4337*h
Collect the terms in -42810 - 42805 + 128430 - 42815 + 16*t - 10*t.
6*t
Collect the terms in -11998*u + 2 - 12124*u + 35813*u - 11910*u.
-219*u + 2
Collect the terms in 24*y**3 + 625111250*y - 625111250*y.
24*y**3
Collect the terms in -201*i**2 + 947*i**2 - 2*i - 182 + 31.
746*i**2 - 2*i - 151
Collect the terms in -40318 - 40887*t + 40318 - 4*t**2.
-4*t**2 - 40887*t
Collect the terms in -9982 - 9966 + 7*l + 49827 - 9974 - 9935 - 9970.
7*l
Collect the terms in 6 - n**2 + n**2 + 2*n**2 - 538*n**3 + 570*n**3.
32*n**3 + 2*n**2 + 6
Collect the terms in -6157895*g - 16*g**2 + 6157895*g - 2.
-16*g**2 - 2
Collect the terms in -180*r + 21 - 150*r - 150*r - 4*r - 12*r.
-496*r + 21
Collect the terms in 311 + 308 + 299 - 34*m - 920 + 11*m.
-23*m - 2
Collect the terms in 90 + 96 - 186 + 1092049*q.
1092049*q
Collect the terms in -79 + 16*l + 11*l + 21*l - 36*l.
12*l - 79
Collect the terms in 1176472*l - 588461*l - 588011*l - 3*l**3 + 0*l**3.
-3*l**3
Collect the terms in c + 32*c + 10*c + 6*c + 48*c.
97*c
Collect the terms in 4*m + 6880861383 - 20*m**3 - 6880861383.
-20*m**3 + 4*m
Collect the terms in 6*l**2 + 94 + 3*l**2 + 7*l**2 - 16*l**2 - 424*l**3 + 427*l**3.
3*l**3 + 94
Collect the terms in -26 + 55*i - 100*i + 15 + 11 + 21*i.
-24*i
Collect the terms in -10787492*c**2 - 10787494*c**2 + 21574978*c**2.
-8*c**2
Collect the terms in -2*t + 33*t - 18*t + 1738*t**2 - 13*t.
1738*t**2
Collect the terms in 26*m**2 - 55*m**3 + 77*m + 69*m**3 - 12*m**3 - 26*m**2.
2*m**3 + 77*m
Collect the terms in -231 + 132 + 72 + 0*d - 2*d.
-2*d - 27
Collect the terms in -1 - 398421404*d + 0 - 1 + 398421497*d.
93*d - 2
Collect the terms in -947*r**3 + 212*r**2 + 5 + 5 - 212*r**2 + 921*r**3 - 10.
-26*r**3
Collect the terms in 23347460786153*g + 0*g**2 - 2*g**2 + 0*g**2 - 23347460786153*g + 3*g**2.
g**2
Collect the terms in 23*y**2 - 42*y**2 + 12*y**2 + 156*y + 9*y**2 + 19.
2*y**2 + 156*y + 19
Collect the terms in -62895*n**3 - 524872*n**3 - 874663*n**3.
-1462430*n**3
Collect the terms in 5522 + 114*c**2 - 5522 - 18*c.
114*c**2 - 18*c
Collect the terms in 12 - 14 - 35*n**2 - 42172*n + 34*n**2 + 42172*n.
-n**2 - 2
Collect the terms in -231959*g + 4 - 4 + 463928*g - 231962*g.
7*g
Collect the terms in 54 - 122*a - 28 - 159*a - 155*a - 25.
-436*a + 1
Collect the terms in -9579*b + 4768*b - 186 + 4809*b + 186.
-2*b
Collect the terms in 373*f - 1529*f + 383*f + 376*f + 391*f.
-6*f
Collect the terms in 9*h**2 + 30*h**2 - 8*h**2 - 45*h - 19*h**2.
12*h**2 - 45*h
Collect the terms in 136372*c**3 - 6272*c + 6272*c - 135893*c**3.
479*c**3
Collect the terms in 8 + 19*p + 22 + 3 + 16 + 27*p - 61.
46*p - 12
Collect the terms in -32221*d**3 + 18885*d**3 - 22787*d**3.
-36123*d**3
Collect the terms in -15626*j - 29971*j - 92249*j.
-137846*j
Collect the terms in 4680*q - 1155*q - 1151*q - 1111*q - 1146*q.
117*q
Collect the terms in 18821*p - p**3 + 1202*p**2 - 6276*p - 6270*p - 6275*p.
-p**3 + 1202*p**2
Collect the terms in 36*i**2 + 248*i**2 + 499*i**2 + 475*i**2.
1258*i**2
Collect the terms in 2 - 7322713*o**3 + 0*o + 0*o - 2 + 7323373*o**3.
660*o**3
Collect the terms in -6 - 9*t**2 + 615*t**3 + 4*t + 18*t**2 - 587*t**3 - 9*t**2.
28*t**3 + 4*t - 6
Collect the terms in 0*r**2 + 3798323*r**3 - 3798314*r**3 + 0*r**2 + 0*r**2.
9*r**3
Collect the terms in -762*f**3 + 417*f**3 - 2*f**2 + 866*f**3 + 432*f**3 + 2*f**2.
953*f**3
Collect the terms in -6898 - 2449*j + 13741 - 6843.
-2449*j
Collect the terms in 1271375*u**2 - 1271375*u**2 - 159400*u**3.
-159400*u**3
Collect the terms in -l**3 - 277*l**2 - 361*l**2 - 2 + 987*l**2.
-l**3 + 349*l**2 - 2
Collect the terms in -130*u - 1 - 69*u + 1 - 65*u + 478*u.
214*u
Collect the terms in 39689*t + 39624*t - 11*t**2 + 12*t**2 + 6 - 79313*t.
t**2 + 6
Collect the terms in -11721*o + 8512*o - 80748*o - 47597*o.
-131554*o
Collect the terms in 7*d + 4*d - 2373*d**3 + 18*d - 29*d.
-2373*d**3
Collect the terms in 16*r + 25*r - 314393 + 30*r - 70*r + 314393 - 3*r**2.
-3*r**2 + r
Collect the terms in 2915*w - 2874*w - 25 - 24 + 96 - 19 - 26.
41*w + 2
Collect the terms in -735 + 11*i + 1450 + 61*i**2 - 715.
61*i**2 + 11*i
Collect the terms in -263390*t - 138768*t - 55537*t - 43685*t.
-501380*t
Collect the terms in 52267*t**3 + 53487*t**3 - 105758*t**3.
-4*t**3
Collect the terms in -19739*m + 39674*m - 19809*m + 40.
126*m + 40
Collect the terms in -2*o**2 + 44 + 98*o - 10 - 25.
-2*o**2 + 98*o + 9
Collect the terms in 69*n - 2 + 51*n - 89*n - 421*n.
-390*n - 2
Collect the terms in 154510080*n + 2809*n**2 - 154510080*n.
2809*n**2
Collect the terms in d**2 - 642 - 737 - 721 + 2015.
d**2 - 85
Collect the terms in 2042 - 1220*b**2 + 397*b**2 + 412*b**2 + 413*b**2.
2*b**2 + 2042
Collect the terms in 8459*x**3 - 17219*x**3 + 2*x**2 + 8661*x**3 - 3*x**2.
-99*x**3 - x**2
Collect the terms in -14 + 10*z**3 + 8 - 245779*z**2 + 245778*z**2 + 6.
10*z**3 - z**2
Collect the terms in -28 + 28 - 12735*q + 12735*q + 17*q**2.
17*q**2
Collect the terms in 11372*b - 2344*b + 6225*b + 2.
15253*b + 2
Collect the terms in 366*z - 182*z + 365*z**3 - 181*z**3 - 184*z - 181*z**3.
3*z**3
Collect the terms in -17*r**2 - 18672*r**3 + 12*r**2 + 2 + 18376*r**3.
-296*r**3 - 5*r**2 + 2
Collect the terms in -10066*n**3 - 58682*n**3 + 10888*n**3.
-57860*n**3
Collect the terms in -562*u + 13*u**3 + 104*u**2 - 104*u**2 + 15*u**3 - 29*u**3.
-u**3 - 562*u
Collect the terms in -26 + 15 - 5*g**3 + 11 - 3*g**3 + 447 | {
"pile_set_name": "DM Mathematics"
} |
136, 14, 6, 5, 4, -2
Sort 4, 19, -7268/109, 0.3 in descending order.
19, 4, 0.3, -7268/109
Put -54, -2, 2, -12 in ascending order.
-54, -12, -2, 2
Put -32, -31, -22, -7 in descending order.
-7, -22, -31, -32
Sort 4, -182, -15, -6, 31 in ascending order.
-182, -15, -6, 4, 31
Sort -1154, 3, -1, -28, -20 in ascending order.
-1154, -28, -20, -1, 3
Sort 1.6, 0.1, -6044, -7, -58 in descending order.
1.6, 0.1, -7, -58, -6044
Sort 7, -176, 1, -3, 5, -36, 2 in descending order.
7, 5, 2, 1, -3, -36, -176
Put -2/13, -0.4, 18031, -2 in decreasing order.
18031, -2/13, -0.4, -2
Put -1/4, 0.5, 17, -2, -12, -3/29 in decreasing order.
17, 0.5, -3/29, -1/4, -2, -12
Sort -0.1, -0.01505266, 4.
-0.1, -0.01505266, 4
Sort -942, -4, 4, 372, 2 in ascending order.
-942, -4, 2, 4, 372
Sort 374, 222680, -3 in decreasing order.
222680, 374, -3
Put 4, 2.97, -6, -2, -7, -31 in decreasing order.
4, 2.97, -2, -6, -7, -31
Put 0.5, 43.193, 30.04 in ascending order.
0.5, 30.04, 43.193
Put -2, -7, -362, 123, -5 in decreasing order.
123, -2, -5, -7, -362
Put 4, 349, -8626 in increasing order.
-8626, 4, 349
Sort -65, 4, 3, 7, 0.07, -17, -1/3 in ascending order.
-65, -17, -1/3, 0.07, 3, 4, 7
Put -28, -103, -634 in decreasing order.
-28, -103, -634
Sort 3/2, 0.154, 2, 0.3, -186, -4/7.
-186, -4/7, 0.154, 0.3, 3/2, 2
Put -33, -5, -3/2, 1, 2, -1 in descending order.
2, 1, -1, -3/2, -5, -33
Put -2, -70, 106300 in decreasing order.
106300, -2, -70
Put 2, 12781, -3, 1, 0, 116, -4 in ascending order.
-4, -3, 0, 1, 2, 116, 12781
Put 0, 93, 4, 5, 3 in increasing order.
0, 3, 4, 5, 93
Put -41, 124274, 21 in decreasing order.
124274, 21, -41
Sort 7, -113, -34265.
-34265, -113, 7
Put -0.02, 0, -2, 3, 8266 in increasing order.
-2, -0.02, 0, 3, 8266
Sort -32, 42294, 2 in ascending order.
-32, 2, 42294
Sort 3754, 1, -2, 618 in descending order.
3754, 618, 1, -2
Sort 25, -2, 77, -25, -5, -1 in ascending order.
-25, -5, -2, -1, 25, 77
Put 0.3, 3/5, -3/86441, 2/7 in decreasing order.
3/5, 0.3, 2/7, -3/86441
Sort -0.97, 4, -224942 in increasing order.
-224942, -0.97, 4
Sort 1382, 1/5, 2, -60, -72, 0.
-72, -60, 0, 1/5, 2, 1382
Put 8, -302144, 19 in decreasing order.
19, 8, -302144
Sort -5, 417, 0, 5, -417, 3, -1 in increasing order.
-417, -5, -1, 0, 3, 5, 417
Put 0.4, -11.37, -652/39 in ascending order.
-652/39, -11.37, 0.4
Sort 155291, -176, 0.
-176, 0, 155291
Sort 38, 10, 2, -2, -113, 1, 3.
-113, -2, 1, 2, 3, 10, 38
Put 23268, -77, -5, 1 in increasing order.
-77, -5, 1, 23268
Put -6, -5, -19308, -10 in descending order.
-5, -6, -10, -19308
Put 10152, 4, -2, 146, 2, -1 in decreasing order.
10152, 146, 4, 2, -1, -2
Put -3, -5, -1518, 118 in descending order.
118, -3, -5, -1518
Put -64537198, -2, 5, 3 in descending order.
5, 3, -2, -64537198
Put -5, -7, 2, -3, 39878 in descending order.
39878, 2, -3, -5, -7
Put -0.1, 2, -3, 2/7, -5, 642009 in ascending order.
-5, -3, -0.1, 2/7, 2, 642009
Sort 5, -5, -2, -274, -110, 1 in descending order.
5, 1, -2, -5, -110, -274
Sort 5, -1, 83, 27, -0.2, 647 in increasing order.
-1, -0.2, 5, 27, 83, 647
Sort -23, -113.5, -4/5, -56 in decreasing order.
-4/5, -23, -56, -113.5
Sort 1, -0.3, -3, 29, -1/5, 4, 1267 in ascending order.
-3, -0.3, -1/5, 1, 4, 29, 1267
Sort 11, -9, -1, -220, -2 in increasing order.
-220, -9, -2, -1, 11
Sort -18, -2, -1309, 172, -3.
-1309, -18, -3, -2, 172
Put -3, 1493, 37, -8, 2 in increasing order.
-8, -3, 2, 37, 1493
Sort 9, -3, 1, -30, 5, 4, 12 in decreasing order.
12, 9, 5, 4, 1, -3, -30
Sort 215/13, 0, -2, 25.7 in decreasing order.
25.7, 215/13, 0, -2
Sort 0.3, -19/13, -1/6, -276, 36.
-276, -19/13, -1/6, 0.3, 36
Put -570, -1, 4, 3, -32, 10 in ascending order.
-570, -32, -1, 3, 4, 10
Put 32, -12, 10/17, -111 in decreasing order.
32, 10/17, -12, -111
Put -0.06, 0.191, -1.5, 6 in descending order.
6, 0.191, -0.06, -1.5
Put 10, 1, -2, 8, -125275 in decreasing order.
10, 8, 1, -2, -125275
Sort 8, 4, -2, -222, -5, -65 in descending order.
8, 4, -2, -5, -65, -222
Put -19, -4, 3, 0, 5, 359394 in decreasing order.
359394, 5, 3, 0, -4, -19
Sort 2, -2, -4, 4, 0, -341, 2624 in ascending order.
-341, -4, -2, 0, 2, 4, 2624
Sort 0.106, 2/3, 0, 1138.6, 1/4, 4 in descending order.
1138.6, 4, 2/3, 1/4, 0.106, 0
Put 97/15, 172, -0.1, -0.3 in decreasing order.
172, 97/15, -0.1, -0.3
Put 95, -47, 2/9, -103 in decreasing order.
95, 2/9, -47, -103
Sort 10, 237, 0.8, -3, 0, -1, 1/8.
-3, -1, 0, 1/8, 0.8, 10, 237
Sort -1, 379, 338043 in ascending order.
-1, 379, 338043
Put -15928, 9, 5, 1 in decreasing order.
9, 5, 1, -15928
Sort 0.3, 6/241, 9471, -4 in decreasing order.
9471, 0.3, 6/241, -4
Put -3/2, 18.3, 2/11, 3/4, 240/13 in decreasing order.
240/13, 18.3, 3/4, 2/11, -3/2
Sort -141, 3802, 1, -34 in ascending order.
-141, -34, 1, 3802
Sort -19, -754, -14, 4.
-754, -19, -14, 4
Sort -3, 0.5, -3591, -115 in ascending order.
-3591, -115, -3, 0.5
Put -99, 0, -48571 in increasing order.
-48571, -99, 0
Sort 339, -5, 149, -32.
-32, -5, 149, 339
Sort 1, -2483, -6, 0, -8 in descending order.
1, 0, -6, -8, -2483
Sort 17, 3, 1, 5, -47, -20 in descending order.
17, 5, 3, 1, -20, -47
Put -1142, 4, 485, 1 in ascending order.
-1142, 1, 4, 485
Sort -5, -5644, -9, 2, 12, -1 in decreasing order.
12, 2, -1, -5, -9, -5644
Put 4, 1, 40, -5, 78, -4, -2 in increasing order.
-5, -4, -2, 1, 4, 40, 78
Put -0.2, 3, -4.7, 16, -2/7, 12/11 in ascending order.
-4.7, -2/7, -0.2, 12/11, 3, 16
Sort 365, 0.5, 156, 2/7, 4 in descending order.
365, 156, 4, 0.5, 2/7
Sort -4/249, 1/9, 1/5, -3/13, 5, -1 in decreasing order.
5, 1/5, 1/9, -4/249, -3/13, -1
Sort -1, -5, -20, -3, -4, 91/11 in ascending order.
-20, -5, -4, -3, -1, 91/11
Put -7548, -42953, -5 in ascending order.
-42953, -7548, -5
Sort -5, -0.3, -82/4283, 160 in ascending order.
-5, -0.3, -82/4283, 160
Put 2581, -9, 4, 0.1, 105 in descending order.
2581, 105, 4, 0.1, -9
Put 18, -32, -1/30, 104 in descending order.
104, 18, -1/30, -32
Sort -8, -3, 5, 9, 12, -6, -18 in decreasing order.
12, 9, 5, -3, -6, -8, -18
Sort 0, 2, 1552, 16 in increasing order.
0, 2, 16, 1552
Sort 2, 4, 0.07, 145.9, -14/3, 5 in increasing order.
-14/3, 0.07, 2, 4, 5, 145.9
Sort 0, 4, -2753/4, 2, -111 in increasing order.
-2753/4, -111, 0, 2, 4
Sort 13, -5, -7993, -0.5, 1/2, 2 in decreasing order.
13, 2, 1/2, -0.5, -5, -7993
Put -8, -24, -6, -195, 2 in descending order.
2, -6, -8, -24, -195
Sort -141, -26, 3, 4, 5, -62, 28 in ascending order.
-141, -62, -26, 3, 4, 5, 28
Sort 31, 19.9, 1.1, 24.
1.1, 19.9, 24, 31
Put 18, -596, 1, -94 in increasing order.
-596, -94, 1, 18
Sort 1, 14.831, 9/59.
9/59, 1, 14.831
Sort -2, 2/13, 2/3, 1/293434.
-2, 1/293434, 2/13, 2/3
Sort -2/3, -2/13, -4/5, 1, 8, -421 in increasing order.
-421, -4/5, -2/3, -2/13, 1, 8
Sort 1, 6, 1058673, 3 in ascending order.
1, 3, 6, 1058673
Put 34/7, -2/17, -0.372, 3.8, -5 in ascending order.
-5, -0.372, -2/17, 3.8, 34/7
Sort -708694, 3, -2/39.
-708694, -2/39, 3
Sort 0.5, -1/146, -1, -3346, -5 in descending order.
0.5, -1/146, -1, -5, -3346
Sort -1, -3, 8, 3, -4, -2, 4 in descending order.
8, 4, 3, -1, -2, -3, -4
Sort 66/13, -625, -1/3, -5 in descending order.
66/13, -1/3, -5, -625
Sort 3, 2/7, -5/6, 1/4, -0.14.
-5/6, -0.14, 1/4, 2/7, 3
Put 0.012, -0.03, 1740, -7/4 in ascending order.
-7/4, -0.03, 0.012, 1740
Sort 71, 2, -75918 in increasing order.
-75918, 2, 71
Put 2, -20020, -2, -1 in decreasing order.
2, -1, -2, -20020
Sort 4368, -1, -5, 0.1, -21 in descending order.
4368, 0.1, -1, -5, -21
Put 1024, 190, 6 in decreasing order.
1024, 190, 6
Sort 0, -7, 9, -551041 in descending order.
9, 0, -7, -551041
Put 0, 421, 208, 7, -5 in increasing order.
-5, 0, 7, 208, 421
Sort -190, 3, 13, -2568 in descending order.
13, 3, -190, -2568
Put 3, 19, 7, 793, -5 in descending order.
793, 19, 7, 3, -5
Sort 6, -13, 0, -1, 291, -5 in increasing order.
-13, -5, -1, 0, 6, 291
Sort -3, 477, 1381, 0 in decreasing order.
1381, 477, 0, -3
Sort -31, -691, 0, -1, 4 in descending order.
4, 0, -1, -31, -691
Put -36, 2, 9144, -2, -1 in descending order.
9144, 2, -1, -2, -36
Sort 2, -1, -2, -0.1, 12, 0.47694 in decreasing order.
12, 2, 0.47694, -0.1, -1, -2
Sort -1048, -3/10, 84 in descending order.
84, -3/10, -1048
Sort -4, 2, 6, 5, 7, 1, 459.
-4, 1, 2, 5, 6, 7, 459
Sort 788, 1, -304, 3, -32.
-304, -32, 1, 3, 788
Put -5, 1/4, 0.2, -1/ | {
"pile_set_name": "DM Mathematics"
} |
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