inder when 58 is divided by (45/36)/((-13)/(-52)).
3
Let r(d) = -6*d**3 + 174*d**2 + 15*d + 12. Calculate the remainder when r(29) is divided by 16.
15
Suppose -c + 1868 = 4*p, -2*p = 2*c + 3*c - 916. Suppose 5*a - 3*r - 563 = 0, p = 4*a + 11*r - 9*r. Calculate the remainder when a is divided by 24.
19
What is the remainder when 79 is divided by 5*-2*((-147)/1029)/(2/21)?
4
Let x = 3996 + -2725. Calculate the remainder when x is divided by 9.
2
Let f(t) = t**3 - 8*t**2 - 13*t - 19. Calculate the remainder when f(19) is divided by 12.
9
Suppose -208 = 177*x - 185*x. Let b(c) = -c**3 + 2*c**2 + c + 1. Let k be b(2). Suppose 0 = k*v - 5*v + 204. What is the remainder when v is divided by x?
24
Let w(p) = -p**3 - 32*p**2 + 63*p - 115. What is the remainder when 208 is divided by w(-34)?
43
Suppose 0 = -s - 2*x + 207, -3*s + 541 = -0*s - 4*x. What is the remainder when s is divided by 102?
89
Let g = 6135 + -6091. Suppose 44 = z + z. What is the remainder when g is divided by z?
0
Suppose -2955 - 4170 = -25*z. Suppose 6*g - 15*g = -126. Calculate the remainder when z is divided by g.
5
Let r be (-2505)/27 + (-2)/9. Let w = r + 140. Suppose -n - 11 = 5*d, -4*n + 5*d + 12 + 19 = 0. What is the remainder when w is divided by n?
3
Let x(g) = 11*g**2 + 84*g - 85. Suppose -7*b = -3*b - 112. What is the remainder when b is divided by x(1)?
8
Suppose -160*a + 3865 + 3759 = -856. Calculate the remainder when 84 is divided by a.
31
Let d(v) be the first derivative of -v**4/4 + 2*v**3/3 - v**2 + 3*v + 99. Calculate the remainder when d(-4) is divided by 55.
52
What is the remainder when -9 + 6/(-2) - 15132/(-12) is divided by 1?
0
Suppose 28*w - 27*w - 2*p - 285 = 0, 5*w - 3*p - 1404 = 0. What is the remainder when w is divided by 157?
122
Let o = 39 - 39. Suppose 0 = -4*t - o*t - 3*v + 1321, t = v + 332. Suppose -4*q = -0*q + m - 270, 5*q - 2*m = t. What is the remainder when q is divided by 34?
33
Let l(r) = r**3 + 12*r**2 - 13*r - 333. Let v = -6 - -4. What is the remainder when 7 - -2 - (-2)/v is divided by l(-7)?
2
What is the remainder when ((-26)/(130/(-5)))/(2/3356) is divided by 84?
82
Suppose 2*m - 3062 - 1198 = -2*s, -2*s + m = -4266. Calculate the remainder when s is divided by 61.
58
Let n = 4587 + -4521. What is the remainder when 255 is divided by n?
57
Suppose 128*t + 821 - 848 = 1893. What is the remainder when 202 is divided by t?
7
Suppose -2*z + g = -3*z + 67, -4*z + 3*g = -254. Let r = z - 46. What is the remainder when (-6)/((-468)/(-13))*213*-2 is divided by r?
14
Suppose 0 = 10*j - 10134 - 2196. What is the remainder when j is divided by 12?
9
Let f be 37104/(-168) + 2/(-14) - 4. Let o = 131 - f. What is the remainder when o is divided by 10?
6
Let c = 2305 - 2301. Calculate the remainder when 72 is divided by c.
0
Let x(h) = -h**3 - 9*h**2 + 49*h - 145. What is the remainder when x(-15) is divided by 12?
2
Let n = -187 - -219. Suppose -a - 5*c + 37 = -295, 0 = 3*a + 2*c - 1061. Calculate the remainder when ((-80)/(-15) - 5)/(1/a) is divided by n.
23
Suppose 2*o - 6 = -3*n - o, -5*n = 4*o - 8. Suppose -20*l = -n*l - 60. What is the remainder when 24 is divided by l?
0
Suppose -31*z = -16*z - 225. Suppose 3*b + z = 2*d, 5*d + 3*b = 2*d + 15. What is the remainder when 28 is divided by d?
4
Calculate the remainder when 543 is divided by (131/38 - 5/(-95))*(51 + 1).
179
Suppose -2939 = -3*v - 4*j, 6*v - 8*v - 2*j = -1954. What is the remainder when v is divided by 262?
183
Suppose -3*a + 139 - 27 = 4*q, -2*q - 204 = -5*a. Let m(x) = -x**3 - 3*x**2 - 2*x - 7. What is the remainder when a is divided by m(-4)?
6
Let x be 24/(-16)*(-2 - 0). Suppose -4*p + 40 + 31 = x*f, -3*p + 57 = f. Calculate the remainder when 33 is divided by p.
13
Suppose 5*b - 174*o + 178*o = 152, 2*o - 156 = -5*b. Calculate the remainder when 108 is divided by b.
12
Suppose 0*g - 315 = -5*g. Let o = -36 + g. What is the remainder when 8/(-2) + -1 + 58 is divided by o?
26
Calculate the remainder when ((-3)/(-5) - 0/78) + (-3471)/(-15) is divided by 36.
16
Suppose -3*u - 47 = -5*k - 0*u, 2*u = -8. Suppose -16*w + 1928 + 1112 = 0. What is the remainder when 2*(6 + w/20) is divided by k?
3
Let i be 5 + (-10)/15*-39. Let k = -70 + 206. Suppose q + i = k. Calculate the remainder when q is divided by 12.
9
Let q(t) = -3*t**2 + 10*t - 15. Let s(v) = v**2 - 2*v. Let d(h) = q(h) + 5*s(h). What is the remainder when d(-4) is divided by 10?
7
Let b be 3*(-8)/12*-103. Suppose 0 = -3*f - 6, 591 = r - 5*f + b. What is the remainder when r is divided by 42?
39
Let s be ((-60)/(-270))/((-2)/(-18)). Suppose -s*m = 5*i - 41 - 3, 5*m = 4*i - 22. What is the remainder when 230 is divided by i?
6
Suppose -4238 = 14*g + 35*g - 80482. What is the remainder when g is divided by 9?
8
Suppose -217 = -4*n + 827. Let b(f) = 4*f**2 - 9*f + 5. Calculate the remainder when n is divided by b(4).
30
Let o(m) = 116*m - 891. Calculate the remainder when o(18) is divided by 135.
117
Suppose -315*a = -312*a - 6. Suppose -7*c + 70 = -a*c. What is the remainder when 27 is divided by c?
13
Let x = 156 - 313. Let c = x - -232. Let a = 84 + c. Calculate the remainder when a is divided by 40.
39
Let q(x) = 137*x**2 + 2*x + 8044. Calculate the remainder when q(0) is divided by 5.
4
Let g(j) = 7*j + 442. Let d be g(-57). Suppose -21*t - 572 = -d*t. What is the remainder when t is divided by 5?
1
Let t(r) = 2*r**3 + 20*r**2 + 48*r + 17. Let i = 11 + -7. Suppose 14 = i*d - 10. Calculate the remainder when t(-4) is divided by d.
5
Calculate the remainder when 218 is divided by (31 - 24) + -3*4/(-4).
8
Suppose -4*p - 14 = -2*p. Let u = p - -4. What is the remainder when 26 is divided by -3 - u - (-20)/2?
6
Let p(k) = 13*k - 1. Let i = 268 - 266. Suppose 37 - i = 7*n. Calculate the remainder when p(1) is divided by n.
2
Let u(p) = 8*p - 2 - 4*p + 2*p**3 - 6*p**2 - 4*p**3 + 7*p + p**3. Let d = 6 + -14. What is the remainder when u(d) is divided by 8?
6
Let p(i) = 2*i + 15 + 3 + 4*i + 34. Let d = -12 + 45. What is the remainder when p(13) is divided by d?
31
Suppose -7*k = 16*k - 393 - 3356. What is the remainder when k is divided by 55?
53
What is the remainder when ((-14)/(-4))/((-140)/(-76080)) is divided by 17?
15
Suppose 0 = -4*k - 4*k + 48. Let g be ((-16)/k)/((-2)/(-6)). Let h = g + 12. What is the remainder when 12 is divided by h?
0
Let h(z) = 29*z**2 - 3*z + 1. Let o be h(2). Let m(a) = 13*a + 468. Let b be m(-34). Let w = o - b. What is the remainder when w is divided by 22?
19
Suppose -10*s + 24*s - 462 = 0. What is the remainder when (2292/9)/(22/s) is divided by 35?
32
Suppose 0 = w + 4*z - 12, 5*w + 5*z = 6*w + 6. Suppose c + 427 = w*l - 0*c, 0 = -l - 5*c + 133. Calculate the remainder when l is divided by 37.
34
Let h(i) = i**2 + 77. Suppose -p - 11*p + 8772 = 0. Calculate the remainder when h(0) is divided by -6*((-1)/(-2) - p/102).
37
Calculate the remainder when ((-19999)/6 + (-6)/(-9))*140/(-350) is divided by 53.
8
Suppose 0 = -8*q + 2527 + 545. What is the remainder when q is divided by 36?
24
Suppose -3*i + 1664 = 13*i. Suppose -i*a = -112*a + 288. What is the remainder when a is divided by 13?
10
Suppose 13*a - 3*v = 14*a - 26, -4*v = -20. What is the remainder when 1735 is divided by a?
8
Suppose -6 = 2*q + 4*k, -q = -4*k - 8 - 13. Suppose -5192*l + 1314*l + 40266 = -25629 - 31. Calculate the remainder when l is divided by q.
2
Suppose 45 = -7*r + 10*r. Let x be ((-12)/r)/(4/(-50)). Suppose -x = -2*y + 44. What is the remainder when y is divided by 5?
2
Let a(c) = -15*c - 180. Let o be a(10). Let z = -277 - o. What is the remainder when 210 is divided by z?
51
Suppose -4*q - 5*b = -83, -2*q - 3*b = -4 - 35. Let o = 830 + -418. Suppose 5*a - a - o = 0. Calculate the remainder when a is divided by q.
22
Let o be (42/14)/(9/633*-1). Let y = 144 - o. Calculate the remainder when y is divided by 72.
67
Let c(f) = f**3 + 3*f**2 + 6*f - 7. Let a be c(-6). Let j = a + 164. Calculate the remainder when 102 is divided by j.
11
Suppose 5*u + 18 = -0*u + 4*j, -2*u - 15 = j. Let m(i) = i**2 + 8*i + 13. Let b be m(u). What is the remainder when 86 is divided by (-4 - -1)*b + 25?
20
Suppose -156*o + 2743 = 62*o - 7*o. Calculate the remainder when 5003 is divided by o.
11
Let a = -6685 + 6838. Calculate the