3. What is the remainder when l is divided by c(-6)?
2
Suppose -241 = -3*m - 2*q, 4*m - q + 404 = 9*m. Let v = -74 + m. Let a(r) = r**3 - 8*r**2 + 9*r + 2. What is the remainder when a(v) is divided by 2?
0
Let o(d) = -11*d + 90. Let c be o(8). Calculate the remainder when (-3)/((-508)/(-260) - c) is divided by 23.
19
Suppose -1348 - 3582 = -43*o + 5648. What is the remainder when 1216 is divided by o?
232
Let a = -36276 - -36506. Calculate the remainder when 779 is divided by a.
89
Let m = -107 - -179. Let n = 169 - m. Calculate the remainder when n is divided by 34.
29
Suppose -5*m = 4*j - 887, 5*m = -2*j + 8*m + 449. Suppose -5*b + 68 = g, -3*b - 52 + j = 2*g. What is the remainder when g is divided by 5?
3
Calculate the remainder when 409 is divided by (-16)/20 + (-30536)/(-220).
133
Let s be (-17511)/(-21) + 5/35. Calculate the remainder when s/(-4)*(26/6 + -5) is divided by -5*((-9)/(-3) + -10).
34
Suppose -1590*i + 1592*i = 3*y + 3243, -5*y + 5 = 0. What is the remainder when i is divided by 43?
32
Suppose -14 = -7*y + 126. Suppose -17 = -q + 20. Suppose s - q = 20. What is the remainder when s is divided by y?
17
Let x(y) = -5893*y + 47177. Suppose -2*h - 2*h = -904. What is the remainder when h is divided by x(8)?
28
Let j(t) = -t**2 + 17*t + 2. Let n(u) = -3*u**2 + 52*u + 8. Let f(g) = 17*j(g) - 6*n(g). What is the remainder when 113 is divided by f(24)?
3
Let h(j) = 19*j**2 + 12*j**2 + 216 + 9*j**2 + 12*j**2 - 53*j**2 + 41*j. What is the remainder when h(45) is divided by 9?
0
Let j(x) = -13*x**3 - 26*x**2 - 47*x - 5. What is the remainder when 399 is divided by j(-2)?
43
Let s(i) = -16*i**2 + 11*i**2 - 3*i + 9*i**2 + 8*i**2. What is the remainder when 27 is divided by s(-1)?
12
Calculate the remainder when 82 is divided by (-4 - 374/(-44))*-3*4/(-9).
4
Suppose -87 = 4*w - 911. Calculate the remainder when w is divided by 112.
94
Let o(l) = 27*l - 1282. Calculate the remainder when 203 is divided by o(48).
7
Suppose -8*c + 48 = -5*c. Suppose 5*b - c = -z, 2*z = 3*b - 4*b + 32. Suppose 4*o + 62 = 5*o. What is the remainder when o is divided by z?
14
Calculate the remainder when 340 is divided by ((-30175)/255)/(10/(-6)).
56
Suppose 11*y = 15*y - 3*z - 976, 2*y - 4*z - 498 = 0. Suppose -5*f + 11*f - 132 = 0. Calculate the remainder when y is divided by f.
21
Suppose 0 = -2*p + 4 - 0. Suppose p*c = 3*z + 123, -2*c - c + 4*z + 183 = 0. What is the remainder when (-12)/(-7) - 77286/(-462) is divided by c?
55
Let l(h) = h**3 + 5*h**2 + 7*h + 98. Suppose 19 = 4*y - 377. What is the remainder when y is divided by l(-6)?
19
Let h be (-3)/(4/(-1 + 5)) - -4. Let i = 6 - -5. What is the remainder when (6/h + 310/(-30))*-12 is divided by i?
8
Let k(w) = -w**2 + 75*w - 557. What is the remainder when k(62) is divided by 14?
11
Let c = 16 - 11. Calculate the remainder when 2/14 - (3/(-252)*807 + 405/108) is divided by c.
1
Let f = 0 - -5. Let n(y) = 24*y + 1274. Let q be n(-53). Suppose -3*z + q*z + 74 = t, -t + 98 = -f*z. Calculate the remainder when t is divided by 22.
12
Suppose 18*n - 15*n = 6*o + 60, 0 = n - 5*o - 2. Calculate the remainder when 3262 is divided by n.
30
Let d = -965 - -1612. Calculate the remainder when d is divided by 33.
20
Let i = -23 - -91. Let h(r) = 13*r**3 + r**2 - 3*r - 2. Let m be h(-1). Calculate the remainder when (m/(-2))/(17/i) is divided by 12.
10
Let g(y) be the second derivative of 0 + 1/6*y**3 - 8*y + 2*y**2. What is the remainder when g(5) is divided by 6?
3
Suppose -5*u + 229 + 16 = 0. Suppose 6*z - 4*w + w - 342 = 0, 4*z - 5*w - 240 = 0. Let r = z - u. What is the remainder when r is divided by 4?
2
Suppose -13*f + 41 = 821. Let b = f - -150. Calculate the remainder when b is divided by 19.
14
Let t be (222/(-8))/((-63)/168). Suppose -2*d + t = 41*s - 37*s, -5*d - 4*s = -167. Calculate the remainder when 56 is divided by d.
25
Let a = -52 - -28. What is the remainder when 11/((-44)/(-112)) + 4 is divided by (6/4)/((-4)/a)?
5
Let c(f) = 7*f**2 + 35 + 22*f + 3*f**2 - 11*f**2 + 24. What is the remainder when 469 is divided by c(22)?
56
Let b be (143/(-2))/((-39)/78). Suppose -3*g + b = 2*c, -4*g - 2 = -6*g. What is the remainder when c is divided by 37?
33
Let p(y) be the third derivative of -y**5/60 + 7*y**4/24 - 11*y**3/6 + 36*y**2. Let b be p(4). Let a = 112 + b. Calculate the remainder when a is divided by 19.
18
Let g(y) = 21*y - 55*y + 5*y**2 + 27*y + y**3. Suppose 3*a - 14 = 4. What is the remainder when g(3) is divided by a?
3
Let w(v) be the second derivative of -v**5/20 - v**4/4 - v**3/3 - 13*v**2/2 + 125*v. Let i = -22 - -42. What is the remainder when i is divided by w(-4)?
9
Suppose 0 = j, 9*b + 2*j = 7*b - 160. Let n = -73 - b. Calculate the remainder when 55 is divided by n.
6
Let z be (0 - -1)*(-12)/(-4). Suppose 4*q + 96 = -5*c + 6*c, -z*c - 3*q = -228. What is the remainder when 477 is divided by c?
77
Suppose -30 = -0*a - 2*a. What is the remainder when 60 is divided by a/9 - (-232)/12?
18
Let u = 1187 - 746. Suppose 0 = -u*i + 439*i + 64. What is the remainder when 383 is divided by i?
31
Suppose 205*b - 210*b = 4*v - 147, 2*b + 27 = v. Calculate the remainder when 293 is divided by v.
29
Let j(o) = 4*o**3 + 19*o**2 - 10*o - 11. What is the remainder when 215 is divided by j(-3)?
51
Let n(i) = -14*i**2 - 138*i - 75. Calculate the remainder when 2044 is divided by n(-9).
31
Suppose -5*p + 3*p - b + 47 = 0, -2*p + b = -53. Let u = p - 76. Let x = 77 + u. What is the remainder when 180 is divided by x?
24
Suppose 18 = 2*x - 12. Suppose -5*s + 15 = 0, 9*s = 3*l + 14*s - 492. What is the remainder when l is divided by x?
9
Let v = -266 - -366. Suppose -77 - v = -3*z. What is the remainder when 410 is divided by z?
56
Suppose 3*b = 146 - 98. Suppose -3*p + 246 = 3*p. Calculate the remainder when p is divided by b.
9
Suppose 2*r = -5*u - 2 + 27, -4*u = -r + 19. Suppose 0 = -k - 28*k + 1827. Calculate the remainder when (54/k)/(5/770) is divided by r.
12
Let v = 133 - 156. Let i = v - -67. Calculate the remainder when i is divided by 31.
13
Let n(v) = 38*v + 1. Let k(j) = -j**3 + 48*j**2 - 546*j - 111. Calculate the remainder when n(3) is divided by k(29).
13
Suppose 30*d - 2089 + 420 = 161. Calculate the remainder when d is divided by 5.
1
Suppose -1677 = -18*x - 201. What is the remainder when 644 is divided by x?
70
Suppose -4*z = -2*v - 366, -2*z + 176 = 90*v - 92*v. Suppose -5*j + 969 - 29 = 0. Calculate the remainder when j is divided by z.
93
Let q = 87 - -92. Suppose 50*p + 264 = 62*p. Calculate the remainder when q is divided by p.
3
Suppose 0 = -r - 2*p - 23, 3*r + 7*p = 2*p - 73. Let i = 58 + r. Calculate the remainder when i is divided by 14.
13
Let v be 40/18 - 1*(-4)/(-18). Let f be (-2)/(3/v*1/(-3)). Calculate the remainder when (f/(16/6))/((-30)/(-260)) is divided by 6.
1
Suppose -199 = -p - 5*k, p = 12*k - 16*k + 193. Calculate the remainder when 988 is divided by p.
143
Let m(z) = z**2 + 42*z - 411. Let d be m(8). Let f = d - -35. Calculate the remainder when (-1 + -185)/(-2) + -1 is divided by f.
20
Suppose 28*b = 23*b + 20. Suppose -6*y + 4*y + 4*x - 4 = 0, -b*y = -5*x - 7. What is the remainder when 38 is divided by y?
6
Let d = 1450 + -940. Let m = 746 + -211. Suppose -m = -5*x + 2*v, -4*x - x - 3*v + d = 0. Calculate the remainder when x is divided by 27.
24
Let q(b) = 8*b**3 + 9*b**2 - 79*b + 38. Calculate the remainder when q(5) is divided by 44.
32
Suppose 0 = -3*s - b + 207, 5*s - 339 = -b + 6. Let o = 427 + -396. Calculate the remainder when s is divided by o.
7
Suppose 16 = -4*j + j + 139. What is the remainder when j is divided by 26?
15
Let v be (-9 - 0) + (-594)/(-66). Suppose 17 = w + i, 4*w + 0*i = -5*i + 64. Suppose v = -3*y - 0*y + w. What is the remainder when y is divided by 2?
1
Let t = 884 - 885. Calculate the remainder when (-6 + 5 - t) + (-7 - -18) is divided by 5/(-2)*4/(-2).
1
Let x(q) = 100*q + 4617. What is the remainder when x(0) is divided by 220?
217
Let o = 8227 - 7765. What is the remainder when o is divided by 39?
33
Suppose -5*q + 2*w + 138 = 0, 2*q - 3*w - 2401 = -2326. Let z = -129 - -216. What is the remainder when z is divided by q?
15
Suppose -215 + 0 = -43*f. Suppose -f*w = -5*i + 3*i - 66, 2*w + 5*i - 9 = 0. Calculate the remainder w