ided by n.
9
Let m(v) = 3*v**2 - 1. Let x(a) = a**3 - 44*a**2 - 2*a + 32. Let w(r) = -4*m(r) - x(r). What is the remainder when w(32) is divided by 11?
3
Let y be (1 - 4) + 9*(-174)/(-2). Suppose 60*r = 40*r + y. What is the remainder when 220 is divided by r?
25
Let h = -25710 - -25785. Suppose 2*n - 72 = -4*b, 0 = -8*n + 3*n + 3*b + 206. Calculate the remainder when h is divided by n.
35
Suppose 11*d = 10*d + 44. Let t = d - -19. Suppose 0 = 3*n + 2*w - 57, -23 + 54 = 2*n - w. Calculate the remainder when t is divided by n.
12
Let p(f) = -f - 1. Let g be p(-16). Let h(s) = -s**3 + 16*s**2 - 12*s - 2. Let n be h(g). Let y = -4 + n. Calculate the remainder when y is divided by 10.
9
Let v(c) = -11*c**3 - 59*c**2 - 27*c + 22. Let t = 71 - 46. What is the remainder when v(-5) is divided by t?
7
Let m = 51 - 57. Let n(y) = -y**3 - 4*y**2 + 7*y + 7. Calculate the remainder when n(m) is divided by 8.
5
Let s(n) = 225*n**2 + 83*n + 179. Calculate the remainder when s(-2) is divided by 38.
1
Let d(v) = -50*v + 1512. What is the remainder when d(27) is divided by 87?
75
Let y = -17 - -97. Let k = y - 75. Suppose -4*o = k*l - 299, -4*l - 34 = -o + 25. Calculate the remainder when o is divided by 12.
11
Suppose 0 = -l + 3*u + 42, l + 186 = 4*l + 3*u. What is the remainder when l is divided by -1 + (8/20)/(4*6/1920)?
26
Suppose r - 38 - 40 = 0. Let t = r + -139. Let w = t + 75. Calculate the remainder when 34 is divided by w.
6
Let z(t) = 8*t**2 + 4*t + 4. Suppose 0 = 108*h - 109*h + 6. Calculate the remainder when z(5) is divided by 7 + (5954/156 - 1/h).
44
Suppose -5*v + 45 = 2*u, -5*v - 5 = -2*u - 10. Calculate the remainder when -1 - (2 + -1 + -23) is divided by 168/12 - 6*5/u.
10
Let s(c) = 13*c**2 - 7*c + 19. Suppose 2*d + 122 = g - d, 0 = 5*g - d - 568. Let q = -111 + g. What is the remainder when s(q) is divided by 22?
13
Suppose -4*s = -4*k + 20, 5*s + 79 = -4*k + 9. Calculate the remainder when 42 is divided by -2 - (7 + s) - (0 - 3).
2
Suppose 0 = 24*b + 109*b - 399. What is the remainder when 8 is divided by b?
2
Let v = -636 + 767. Calculate the remainder when 4583 is divided by v.
129
Let n(f) = 5*f**2 + 7*f + 2. Let x be n(-3). Suppose -6576 = 2*q - x*q. What is the remainder when q is divided by 12?
10
Let l(d) = 77*d + 1. Let u be l(1). Suppose 8*t - u = 5*t. Suppose -2*f + f = -t. Calculate the remainder when 48 is divided by f.
22
Suppose -u + r - 1046 = -3276, -4*u = 2*r - 8950. What is the remainder when u is divided by 160?
155
Suppose -2312 = 806*a - 814*a. What is the remainder when a is divided by 176?
113
Suppose 3*d = 19 - 22. Let a be 2/d + (-64)/12*-3. Calculate the remainder when 121 is divided by (3 + 3)/(0 - (-4)/a).
16
Let m(j) be the first derivative of j**3/3 - 11*j**2/2 - 7*j - 68. What is the remainder when m(-7) is divided by 21?
14
Suppose 768 - 2618 = -74*c. What is the remainder when 73 is divided by c?
23
Let u = 671 + -346. Let r = u + -312. What is the remainder when 87 is divided by r?
9
Let h = 126 - 102. Suppose -h*y - 21 = -27*y. What is the remainder when 33 is divided by y?
5
Let k(i) = i + 0 + 3*i + 4 + i**3 - 2*i. Let j = -112 - -115. Calculate the remainder when k(j) is divided by 20.
17
Let n = -18033 + 18236. Calculate the remainder when n is divided by 70.
63
Suppose -1357 = 5*u + 948. Let x = -428 - u. Suppose 2*c - 68 = -2*c. What is the remainder when x is divided by c?
16
Let f be (4 - 44/8)/(1/(-2)). Let g(a) = 10*a**2 + a. What is the remainder when g(f) is divided by ((1 - 0) + -20)/(-1)?
17
Let z(y) be the third derivative of y**5/30 + y**4/24 + 11*y**3/6 + 2*y**2 + 39*y. Let w be 1/1*(0 + 0). What is the remainder when 20 is divided by z(w)?
9
Let x be (47/3)/(152/30 - 5). Let r = -82 + x. What is the remainder when r is divided by 26?
23
What is the remainder when 2244 is divided by (-4 + (-1352)/(-65))/((-9)/(-240))?
4
Let o(j) = -5*j. Let q be o(0). Calculate the remainder when 167 is divided by (q - 1)/(10/(9570/(-11))).
80
Suppose -783 = -22*s - 7*s. Calculate the remainder when 814 is divided by s.
4
Let q = -10 + 21. Calculate the remainder when 85/(-51)*1071/(-35) is divided by q.
7
Let p be (-5367)/(-54)*2 + (-8)/(-36). Suppose 3*o - 5*o + 82 = 4*r, 5*o - p = -4*r. What is the remainder when 180 is divided by o?
24
Let y = -215 + 388. Suppose 1586 - y = 9*r. Calculate the remainder when r is divided by 41.
34
Let p(y) = 2*y**3 + 21*y**2 + 30*y - 29. Let g = 22 + -18. Suppose -q - 2*z + 11 = -3, 8 = g*z. What is the remainder when p(-8) is divided by q?
1
Let c(v) = 2*v**3 + 58*v**2 - 26*v - 730. Calculate the remainder when 19653 is divided by c(-29).
21
Let w be 3 + -1 + (-2)/3*-45. Suppose 3*c + w = -c. Calculate the remainder when 48 is divided by 4/c - 153/(-6).
23
Suppose -q = 2*y - 703 + 562, 0 = 5*q + 2*y - 673. Calculate the remainder when 916 is divided by q.
118
Let o = 721 - -42. Calculate the remainder when o is divided by 48.
43
Suppose -22*o - 12*o = 26*o - 660. What is the remainder when 6805 is divided by o?
7
Let p be 3/((-3)/(-28))*(-7 + 9). Suppose -3*x + p = -2*y + y, -2*y + 2 = 0. What is the remainder when 94 is divided by x?
18
What is the remainder when 1236164/1032 - 10/12 is divided by 43?
36
Suppose -8098 = -95*s + 7862. What is the remainder when 815 is divided by s?
143
Suppose -3*p + 5*j + 31 = -6*p, -4*p + j = 3. Suppose 3*f - 31 = -4*x + 2*f, 2*f + 55 = 5*x. What is the remainder when 54 + ((-4)/(-5))/(p/5) is divided by x?
7
Let h = 102 - 104. Let m(v) = 3*v**2 - v - 6. What is the remainder when 15 is divided by m(h)?
7
Let m = -589 - -2171. What is the remainder when m is divided by 24?
22
Let k(m) = -3*m + 166. Let v be k(52). Suppose -v*n + 39 = -9*n + y, n - 36 = -4*y. What is the remainder when 359 is divided by n?
39
Let n(j) = j**2 + 14*j + 29. Let c = 43 + -55. Suppose 0*o - o + 27 = 5*w, 0 = -3*o - 5*w + 71. What is the remainder when o is divided by n(c)?
2
Suppose 0 = -123*p + 121*p + 291 + 343. What is the remainder when p is divided by 151?
15
Let g = -13849 + 14567. What is the remainder when g is divided by 38?
34
Suppose -4*x + 9*f - 7*f + 392 = 0, 4*f = 4*x - 396. What is the remainder when 243 is divided by x?
49
Let d(r) = -18*r**2 - 154*r - 74. Let t = 16 + 62. Let p = 130 - t. Calculate the remainder when p is divided by d(-8).
4
Let b(l) = 13*l**2 - 3*l - 3. Let d(x) = 10*x**2 + 3*x + 3. Let z be d(-3). Let p = z - 82. What is the remainder when 212 is divided by b(p)?
40
Suppose 184 = -5*l + 34. Let y = l - -28. What is the remainder when 181 is divided by 47 + y/4*2?
43
Let v = 76 + -54. Suppose 0 = -3*u + v - 175. Let q = -44 - u. What is the remainder when 46 is divided by q?
4
Let u(g) = 16*g + 8. Let f(x) = 7*x + 4. Let d(k) = 9*f(k) - 4*u(k). What is the remainder when 106 is divided by d(-23)?
25
What is the remainder when 268 is divided by 1120/(-420)*(-1)/(4/30)?
8
Suppose -5*h - 30 = -2*v, 5*h = 3*v + 8*h - 3. Suppose -18*u = v*u - 8257. What is the remainder when u is divided by 60?
59
Let k be (1025/(-15))/5*3. Let d = -37 - k. Let o(m) = 4*m - 4. What is the remainder when 57 is divided by o(d)?
9
Let n(c) = -c**3 - 12*c**2 + 16*c + 377. What is the remainder when 553 is divided by n(-10)?
9
Let q be ((-120)/(-18))/((-4)/(-18)). Suppose -p = -6*p + 260. Suppose -p = -t + q. What is the remainder when t is divided by 21?
19
Let v(k) = 15*k + 159. Let c be v(-11). Calculate the remainder when 52/c*(115/(-10) - -7) is divided by 22.
17
Suppose 5*y - 4*l + 130 = 1042, 5*y = 3*l + 924. Let x(i) = i + 39. What is the remainder when y is divided by x(0)?
36
What is the remainder when 607 is divided by 37*((-10)/2 - -6)?
15
Suppose -5585 = -240*z + 927 + 3808. Let n = 383 + -169. Calculate the remainder when n is divided by z.
42
Let s be 15*52*(-1)/6. Calculate the remainder when 78 is divided by ((-152)/(-190))/((-4)/s).
0
Let m(l) be the second derivative of 13*l**3/3 - 18*l**2 + 13*l - 5. Calculate the remainder when 172 is divided by m(2).
12
Let a(b) = b**3 + 7*b**2 - 7*b - 4. Let u be a(-6). Let d = u - 72. Suppose -y + 12 = -2*o, -y - 4*y = d*o. Calculate the remainder when 10 is divided by y.
0
Let u = 158 - -169. Calculate the remainder when u is divided by 82.
81
Let x(b) = 2*b**3 + 5*b**2 + b + 23. Let a