hen 32 is divided by w.
8
Suppose 0 = 2*n, -3*c - n = 3*n - 33. Suppose 5 = 7*r - 2. Calculate the remainder when 3 + (r - 150/(-6)) is divided by c.
7
Let g(z) = -4*z**3 + 26*z**2 + 2*z. What is the remainder when (-5739)/(-39) + (28/91)/(-2) is divided by g(6)?
63
Suppose 419*o = 384*o + 13195. Calculate the remainder when o is divided by 24.
17
Let j = -8194 - -8264. What is the remainder when j is divided by 30?
10
Let y be 0/(3/1) - 188. Let k = -113 - y. Let v = -2131 + 2157. Calculate the remainder when k is divided by v.
23
Let o be 11 - (2 - 4) - -1. Let y(a) = -13 + 0*a - o + 24 - 6*a. Calculate the remainder when y(-1) is divided by 1.
0
Let s(f) = 48*f**3 - f**2 + 2*f + 5. Let p be s(-2). Let x = p - -514. Calculate the remainder when x is divided by 44.
39
Let g be (-390)/(-75) + 1/(-5). Suppose 3*f = 2*d - 30, -4*d = f - 34 - 26. What is the remainder when -82*((-5)/2)/g is divided by d?
11
Suppose -4*c + 3*a = -9*c - 42, -c - 5 = 4*a. Let m(g) = -11*g - 79. Let p(j) = -7*j**3 - 3*j**2 + 1. What is the remainder when p(-2) is divided by m(c)?
5
Let y(m) = m**2 - 2*m + 48. Let t be y(0). Suppose -50*f + t*f + 154 = 0. What is the remainder when f is divided by 9?
5
Let n be 6/(-14) - (-2902)/(-7). What is the remainder when 249/n - (-1913)/5 is divided by 98?
88
Suppose 4*c = -2*v - 110, -10*v + 9*v = 3*c + 83. Calculate the remainder when 1566/21 - c/(-49) is divided by 48.
26
Let c(m) = m**3 + 8*m**2 + 20*m + 30. What is the remainder when 159 is divided by c(-4)?
5
Let f(l) = -13*l + 159. Let j = -442 - -497. Calculate the remainder when j is divided by f(9).
13
Suppose 0 = 2*j + r + 4 - 16, 0 = -4*j - 4*r + 16. Suppose -5*t = -2*t - 54. Suppose -15*m + t*m = 114. Calculate the remainder when m is divided by j.
6
Let v be (-49 - (3 - (-1 + 5))) + 0. Let m = 42 + v. What is the remainder when ((-4)/m)/(2/57) is divided by 5?
4
Suppose 3*z - 129 - 15 = 0. Suppose 4*s + 8*s - 36 = 0. Suppose -5*a - 3*x - 66 = -8*a, 14 = a - s*x. Calculate the remainder when z is divided by a.
22
Let g(h) = -51*h - 182. Let m be g(-10). Suppose m*q - 924 = 316*q. What is the remainder when q is divided by 20?
17
Let k = -8 + 20. Let g(f) be the third derivative of f**6/120 - f**5/5 + f**4/4 - 5*f**3/6 + 7*f**2. What is the remainder when g(k) is divided by 23?
21
Let d = -5401 + 5498. What is the remainder when d is divided by 24?
1
What is the remainder when 469 is divided by (268/32 - 1)/((-23)/(-184))?
56
Suppose g + 6 + 8 = 2*a, -3*a = 5*g - 47. Let v = 51 + -51. Suppose -7*x + v + 7 = 0. What is the remainder when a is divided by x?
0
Suppose -4*u - 8 = 0, -d - 3*u = -0*d - 24. Suppose -30 = 3*x, 0 = n - x - 1602 + 1534. What is the remainder when n is divided by d?
28
Suppose -4*z + 3*l + 87 = -2*l, -5*l = 3*z - 39. Calculate the remainder when -4 - (-11 + 7 - 39) is divided by (-4)/z - (-728)/36.
19
Let f be (3 - 0)/((-6)/8). What is the remainder when (f/(-6))/(4/150) is divided by 0 + 10 + (-5)/(-1)?
10
Let j = 8092 - 8087. Calculate the remainder when 1539 is divided by j.
4
What is the remainder when 622 is divided by (309 - 339)*(9/(-15) - 1)?
46
Let u = 234 + -32. Suppose 0 = -252*w + 250*w + u. Calculate the remainder when w is divided by 34.
33
Let g = -712 - -722. Suppose -g*l = -287 - 753. Calculate the remainder when l is divided by 16.
8
What is the remainder when 23 + -35 + 18 + 2741 is divided by 910?
17
Let c(y) = y**2 - 16*y + 3. Let w be c(7). Let b = 15 - w. Let t = 409 + -389. What is the remainder when b is divided by t?
15
Let b(v) = 2*v**2 - 18*v + 40. Let o(z) = 9*z - 198. Let l be o(23). Calculate the remainder when 193 is divided by b(l).
33
Let a = 16698 - 16672. What is the remainder when 16636 is divided by a?
22
Let n(v) be the third derivative of -v**5/60 + 7*v**4/8 - 23*v**3/3 - 3*v**2. Suppose -28 = -6*o + 74. Calculate the remainder when 106 is divided by n(o).
18
Let r = 113 + -125. What is the remainder when 81 is divided by (-3 + (r - 3))*6/(-9)?
9
Suppose 0 = 159*c - 169*c + 400. Let j(w) = w**3 - 6*w**2 + 10*w - 7. What is the remainder when c is divided by j(5)?
4
Suppose -m - 3*m = i - 23, 2 = i - 3*m. Suppose 0*s + 4*s - 24 = 4*w, 2*w = -5*s + 30. What is the remainder when i is divided by s?
5
Let i be 39/3 - (-16)/(-2). Suppose -h + 3*q = 7*q - 474, -h - i*q + 469 = 0. Calculate the remainder when h is divided by 11.
10
Let i(w) = w**2 - 8*w - 14. Suppose -k = 3*h - h - 197, -k - 397 = -4*h. What is the remainder when h is divided by i(12)?
31
Suppose 2*y = 7 + 1. Suppose 0 = 2*n + 5*j - 7*j, 4*n - j = 0. Suppose n = y*c - 27 - 25. Calculate the remainder when 47 is divided by c.
8
Suppose -m - 274 = -6*m - 2*s, 5*s + 15 = 0. Suppose 18*z - 4*z = -m. What is the remainder when 2 is divided by (-3 - 0)/(6/z)?
0
Let a(j) = -j**2 - 13*j. Let z(h) = 4*h + 6. Let n be z(-3). Let p(l) = l**2 - 15*l + 25. What is the remainder when a(n) is divided by p(14)?
9
Suppose -76*s + 28392 = -10292. Calculate the remainder when s is divided by 90.
59
Let j = 1955 - 1452. Calculate the remainder when j is divided by 61.
15
Let b(h) = h**3 + 52*h**2 + 140*h + 33. Calculate the remainder when b(-49) is divided by 19.
15
Let z(c) be the second derivative of -c**5/20 + c**4 - 7*c**3/3 + c**2/2 + 19*c. Let d be z(11). Let n = 42 - d. What is the remainder when n is divided by 26?
22
What is the remainder when 2804 is divided by 84 - (-4 - (-3 - 0))?
84
Let b(r) = r**3 + 8*r**2 - r + 4. Let x be b(-8). Let w(q) = 8*q - 82. What is the remainder when 79 is divided by w(x)?
9
Suppose 0 = -15*w - 52*w + 2058 + 2766. What is the remainder when w is divided by 32/(-24)*(-102)/4?
4
Let v(n) = 11*n**2 - 20*n - 9. Let l be v(9). Suppose -l = -12*y + 318. What is the remainder when y is divided by 21?
1
Let o(z) = -z**2 - 13*z - 30. Let d be o(-10). Suppose -l - 508 = -4*m - d*l, -4*l = 3*m - 381. What is the remainder when m is divided by 70?
57
Suppose -3*f + 4 = -s, -s - 3*f - 5 = -19. Suppose 6 = a - 2*q, -4*a = -3*q - 21 - 28. Calculate the remainder when a is divided by s.
1
Let p(b) = b**2 + 3*b + 44. Calculate the remainder when (-13)/((-5 - (0 + -3))/44) is divided by p(-7).
70
What is the remainder when 185 is divided by ((-22)/(-6))/((12 + -13)/(-3))?
9
Let h(g) = -g**3 + 24*g**2 + 22*g - 39. Let c be h(25). Let o = -101 - c. Calculate the remainder when o is divided by (-3)/(-6)*(-1 - -7).
1
Suppose 22*w = 21*w + 27. Suppose p + 2*p + 42 = 5*r, 0 = -4*p + 5*r - 61. Let t = p + w. Calculate the remainder when 21 is divided by t.
5
Let b = -3117 - -3135. What is the remainder when 1092 is divided by b?
12
Let y = -72 - -107. What is the remainder when 115 - (-9 + 17 + 4) is divided by y?
33
Suppose -4*p + 3 = -3*w, 2*p - 4*p - 5*w - 5 = 0. Let o = 6 + p. Let v(f) = 3*f**3 - 9*f**2 + 12*f + 3. Calculate the remainder when v(2) is divided by o.
3
Let a be (0 - 4/(-10)) + 28105/175. Suppose -d - 4*p + 175 = 0, 6*p - 3*p + a = d. What is the remainder when d is divided by 14?
13
Let i = 101 - 95. Let m = i - -47. Let s = 79 - m. What is the remainder when s is divided by 9?
8
Let n be ((-8)/5)/(128/160). Let y(a) = 33*a - 32. Let r(w) = -11*w + 11. Let f(b) = -8*r(b) - 3*y(b). Calculate the remainder when f(n) is divided by 16.
14
Let u = -4686 + 5187. Calculate the remainder when u is divided by 42.
39
Let l be (-20)/(-6)*(-18)/(-15). Suppose -63 = 4*a - 331. What is the remainder when a is divided by 1 - (-30 + (l - 7))?
33
Let z(k) = 45*k**2 - 3*k - 3. Let c be z(-1). Let m = c - -21. What is the remainder when m is divided by 25?
16
Suppose -42*u + 231 + 3142 = 475. What is the remainder when 4477 is divided by u?
61
Calculate the remainder when 66/24 - 2219/(-28) is divided by 29.
24
Suppose 2*t + 205 + 83 = 0. Calculate the remainder when 22/(5984/(-204)) - (2/(-4))/((-24)/(-3300)) is divided by t/(-14) - 4/14.
8
Suppose -1812 = -15*t + 558. Suppose -b - 2*x = -t, 0 = -b - 3*x + 5*x + 158. What is the remainder when b is divided by 40?
38
Suppose 18 = 7*g + 158. Let a be (-16)/(-4)*5945/g. Calculate the remainder when 120 is divided by (a/58)/(1/(-2)).
38
Calculate the remainder when (2/(-6))/(-7*(-15)/(-276885)) is divided by 423.
33
Suppose -2*f + 18*v + 276 = 13*v, f = 5*v + 138. What is the remainder when 2755