 divided by 6?
3
Let u(h) = h**2 - 2*h + 3. Let r be u(3). Let z(j) = -j**3 + 3*j**2 + j. Let m be z(1). Suppose -r*v + 51 = -m*v. What is the remainder when 65 is divided by v?
14
Let u be -1 - 7/1*-1. Let f(v) be the third derivative of -v**6/120 + v**5/10 + v**4/12 + v**3 + 30*v**2. Calculate the remainder when f(u) is divided by 5.
3
Suppose -192 = -4*c + 8*f - 3*f, -c + f + 48 = 0. Suppose -9*a + 3*a + c = 0. Calculate the remainder when 27 is divided by a.
3
Suppose 0 = 6*n - n - 20. Let z be 457/n - 2/8. What is the remainder when 37 is divided by (z/12)/((-1)/(-2))?
18
Let v(x) = x**3 - 11*x**2 - 11*x - 12. Let n be v(12). Suppose o + 4*o = n. Suppose 0 = 3*k - o - 9. What is the remainder when 4 is divided by k?
1
Suppose 37*p - 42*p - 265 = -2*i, -i + 128 = -p. Calculate the remainder when i is divided by 25.
0
Let d be (-7)/3*(-5)/(5/3). Suppose 0*y + 448 = d*y. Suppose 4*s - 24 = 64. Calculate the remainder when y is divided by s.
20
Suppose 41*c - 42*c + 28 = 4*d, 5*c + 5*d = 80. Calculate the remainder when 1/(-3) + 175/3 is divided by c.
10
Let z = -9 + 25. Suppose -18*p = -z*p - 48. Calculate the remainder when 93 is divided by p.
21
Let p = -477 - -765. What is the remainder when p is divided by 15?
3
Calculate the remainder when 78 is divided by (-264)/(-54) + -5 + (-136)/(-9).
3
Let x(j) = 24*j**3 - 3*j**2 + 6*j - 6. Let w be x(2). Suppose 5*z - w = -p, 0 = -5*z + 4*z - p + 38. What is the remainder when 145 is divided by z?
34
Let w(v) = -v**2 - 8*v + 11. Let o be w(-9). Suppose 25 = 3*g + o*g - 5*q, 26 = 2*g + 2*q. What is the remainder when 51 is divided by g?
6
Suppose 5*v - 1 = x - 8, 5*v + 16 = -2*x. Let p be (-1 + 1)*3/x. Suppose k - 5*l = p, -4*k + 24 + 12 = -2*l. What is the remainder when 29 is divided by k?
9
Calculate the remainder when 6 - 7 - -4 - (-5376)/4 is divided by 50.
47
Let c(j) = -7*j**3 + 13*j**2 - 16*j + 36. Let g(m) = 3*m**3 - 6*m**2 + 7*m - 18. Let h(y) = 2*c(y) + 5*g(y). What is the remainder when 43 is divided by h(5)?
21
Let n = -3 + -1. Let k = 265 - 166. What is the remainder when k is divided by (1*-17)/(14/n + 3)?
31
Let v = 374 + -345. Suppose -4*d - 8 + 32 = 0. Calculate the remainder when v is divided by d.
5
Let x(r) be the third derivative of r**5/60 + 7*r**4/24 + 5*r**3/3 - 17*r**2. Calculate the remainder when 14 is divided by x(-6).
2
Let g be 2/(-3)*(-133 - -1). Suppose g = 3*w - 26. Suppose -3*h + k = -w, -4*h - k + 49 = -4*k. What is the remainder when h is divided by 4?
1
Suppose -5*z = 20 + 10. Let h(o) = -o**3 - 4*o**2 + 6*o. Let n be h(z). Let m = -33 + n. Calculate the remainder when 7 is divided by m.
1
Suppose -11*i + 1270 = 346. Calculate the remainder when i is divided by 15.
9
Let k(n) = -5 + 0*n - n + 3*n. Let x be k(5). Let l(s) = 5*s - 15. Calculate the remainder when l(x) is divided by 4.
2
Suppose 0 = 2*j - 4*q + 14 - 70, -3*j - q + 98 = 0. What is the remainder when j is divided by 11?
10
Let w(c) = c**3 - 6*c**2 + 4*c - 14. What is the remainder when w(6) is divided by (-6)/(-2) + (1 - 0)?
2
Suppose -212 = 2*u + 2*u. Let l = u + 136. Let h = -44 + l. Calculate the remainder when h is divided by 14.
11
Let o = 74 + -42. Suppose 3*x = 4*r - 64, -2*r - 19 = 3*x + 21. Let n(j) = -j**2 - 16*j + 7. What is the remainder when o is divided by n(x)?
4
Let s = 661 + -352. Suppose -k + s = 4*h - 484, -4*h + 2*k + 778 = 0. Calculate the remainder when h is divided by 40.
37
Let w(l) be the third derivative of l**6/120 - 7*l**5/60 - l**4/24 + 7*l**3/3 - 10*l**2. What is the remainder when w(7) is divided by 3?
1
Let h(z) = -z**3 - 7*z**2 + 7*z + 4. Calculate the remainder when (-1)/(-3) - ((-164)/3 + -4) is divided by h(-8).
11
Suppose 0 = -4*v + 3*a + 2615, -2*v + 1320 = -a - 3*a. Suppose 0 = 77*k - 82*k + v. What is the remainder when k is divided by 22?
20
Let c = 179 + -135. Calculate the remainder when c is divided by (-72)/(-4)*2/4.
8
Let p be ((-24)/4)/(-5 + 3). Let n be 6/(-21) - 4/(-14). What is the remainder when 35 is divided by (11 - 2) + n/p?
8
Suppose -6*q + 2*q + 44 = y, y - 14 = -q. What is the remainder when 78 is divided by q?
8
Suppose -4 + 0 = 2*c. Suppose -18 = 10*v + 8*v. Calculate the remainder when ((-3)/c)/(v/(-2)) is divided by 3.
0
Let u = 1544 + -1522. What is the remainder when 196 is divided by u?
20
Suppose -w - 2*w + 37 = 2*m, -2*m = -2*w - 42. What is the remainder when 72 is divided by m?
12
Let x = -22 + 31. Let j(d) = -6*d - 9. Let z be j(x). Calculate the remainder when (-1 + -6)/(9/z) is divided by 17.
15
Let p(c) = -52*c - 261. What is the remainder when p(-6) is divided by 44?
7
Suppose -2*y - 2*y + 8 = 0. Suppose -5*i + 3*p = y*p - 217, 3*p - 166 = -4*i. What is the remainder when 128 is divided by i?
42
Suppose 4*r = r + 6. Suppose r*i = -i + 66. Let d = i - 11. Calculate the remainder when 43 is divided by d.
10
Let k = -724 - -746. Calculate the remainder when k is divided by 8.
6
Let z be 41 - -8*1/2. Let j = z - 18. Calculate the remainder when j is divided by 14.
13
Let u = -1100 - -1106. Let t = 8 - -13. Calculate the remainder when t is divided by u.
3
Suppose 2*u + u - 225 = 0. Let y = -999 + 1038. Calculate the remainder when u is divided by y.
36
Let x be 20/(-3)*(-36)/15. Suppose 3*s + x = 67. What is the remainder when s is divided by 9?
8
Let d = 22 + -16. Calculate the remainder when d/(3/(-99)*-6) is divided by 9.
6
Suppose 2*p + h - 4*h = -6, 3*h - 21 = -3*p. Let i(q) = -q**2 - 10*q - 19. Calculate the remainder when p is divided by i(-7).
1
Let t(a) = -a**3 - 4*a**2 + 8*a - 10. Let v(b) = -b**2 - 5*b - 10. Let r be v(-4). What is the remainder when 37 is divided by t(r)?
9
Suppose -u = -2*q - 44 - 41, 3*u = 2*q + 239. Suppose u = 4*r - 147. What is the remainder when r is divided by 29?
27
Let b be (2 + -2)*1*-1. Let t(m) = -m**3 + 4*m**2 - 2*m - 1. Let j be t(3). Suppose b*h + j*h = 26. What is the remainder when h is divided by 4?
1
Let u(p) = -p**3 - 5*p**2 + 13*p - 5. Let c be u(-7). Suppose -z + c = -2. What is the remainder when z is divided by 2?
0
Suppose 1 = g - 13. Let d(m) = -5*m - 1. Let b be (-1)/2*(-2 - -4). What is the remainder when g is divided by d(b)?
2
Suppose g + 39 = 4*g. Suppose o + 5*a = 10, -2*o - 2*a + g + 15 = 0. What is the remainder when (-112)/((-13 - -5)/4) is divided by o?
11
Let v(l) = -l**3 + 8*l**2 - 14*l + 35. What is the remainder when 958 is divided by v(5)?
38
Suppose -8*j = 3*j. Suppose j*l - 2*f = -2*l + 60, -f + 22 = l. Calculate the remainder when (-3 - 2)/(4/(-40)) is divided by l.
24
What is the remainder when 119 is divided by (-12)/21 + (-6802)/(-266)?
19
Suppose b - s = 1 + 37, -25 = -5*s. Suppose 0 = 5*y + 11 - 186. Suppose 3*x - y = -2. Calculate the remainder when b is divided by x.
10
Let b = 0 - -3. Suppose b*z + 3*k = 87, -4*k = -4*z - 34 + 118. Calculate the remainder when z is divided by ((-2)/(-3))/((-4)/(-78)).
12
Suppose 0*p + 4*y = 4*p - 36, -y + 61 = 4*p. Let s(n) = 34*n**3 - n + 2. Calculate the remainder when s(1) is divided by p.
7
Suppose 0 = 4*w - 20, w + 26 - 86 = -5*a. What is the remainder when 59 is divided by a?
4
Let a = 294 - 166. Calculate the remainder when a is divided by 10.
8
Let u be (-1)/((0 - 0) + 1). Suppose 0 = -w + i + 36, -152 = -4*w + 2*i - 18. Calculate the remainder when w - -2*(u - 1) is divided by 14.
13
Suppose -66*g = -74*g + 3128. Calculate the remainder when g is divided by 128.
7
Let w = 6 + -5. Let q be -1*(-1 - w - 35). What is the remainder when (q/(-1))/(1 + -2) is divided by 13?
11
Let t(c) = c**3 + 3*c**2 - 3*c - 1. Calculate the remainder when 130 is divided by t(3).
42
Suppose -4*v - 2*o + 82 + 1044 = 0, -3*v + o = -852. Calculate the remainder when v is divided by 90.
13
Let n(v) = 2*v**3 + 2*v**2 - 2*v - 2. Let r be n(-2). Let i be 187/(-33) + 2/r. What is the remainder when 4/i*(-174)/4 is divided by 5?
4
Let k(r) = -r**3 + 12*r**2 - r + 38. What is the remainder when 71 is divided by k(12)?
19
Suppose -3*a = -2*a + 4*i - 55, 3*a + 3*i = 120. Suppose -2*c + a = 5*k, 4*c - 5*k - 25 = -0*k. What is the remainder when 27 is divided by c?
7
Let g = -7 - -5. Let a = g + 4. Suppose 3*i = b, b - a*b + 24 = 5*i. What is the remainder when 35 is divided by b?
8
Let b = 6 - 1. What is the remainder when (-16)/b*(11 + -2