5. What is the remainder when r is divided by q?
16
Let o(h) = 18*h + 363. Let v be o(-18). Suppose 3*t = -2*x - 7 + v, -2*x + t + 40 = 0. Calculate the remainder when (-2)/3 + (-448)/(-6) is divided by x.
17
Suppose 5*m + 26 + 8 = 2*o, 0 = -5*m. Suppose 0 = -o*j + 222 + 866. Calculate the remainder when j is divided by 6.
4
Let u(a) = 4 - 23*a - 32 + 0*a - a**2. Let o be u(-21). Let m(w) = w**3 - 13*w**2 - 11*w - 4. Calculate the remainder when 187 is divided by m(o).
35
Let x(i) = 80*i. Suppose 0 = 78*z + 82*z - 3*z + 1544 - 5312. Calculate the remainder when x(2) is divided by z.
16
Let o(z) = 8*z**2 - 5*z + 30. Calculate the remainder when 867 is divided by o(-2).
3
Calculate the remainder when 1/(10/568)*1265/506 is divided by 41.
19
Let a(d) = 4*d**2 + 24*d - 73. What is the remainder when 1*(-4 + (-2 - -59)) is divided by a(3)?
18
Let l = -5096 - -5158. What is the remainder when 196 is divided by l?
10
Let m(o) = 8*o**3 - 3*o**2 + 5*o - 6. Let i(r) = r**2 - 4*r + 7. Let h be i(2). Calculate the remainder when m(h) is divided by 10.
8
Let n(d) = -249*d - 764. Calculate the remainder when n(-7) is divided by 8.
3
Let j = -17 - -52. Let w = -617 - -621. Calculate the remainder when j is divided by (30/20)/(w/24).
8
Suppose -m + 10 = 5, -m + 61 = c. Calculate the remainder when 383 is divided by c.
47
Suppose 4*w + 63*k - 126 = 58*k, -2*k - 106 = -3*w. Calculate the remainder when w is divided by (-6)/5*(-20)/6.
2
Let f = -190 - -206. Suppose 0 = 3*y - 3*m - 26 - f, -5*y = -2*m - 64. What is the remainder when 21/1 + 0/(-2) is divided by y?
9
Let f = -517 - -565. Suppose -1704 = -4*v - 176. What is the remainder when v is divided by f?
46
Suppose 0 = 3*z + j - 39, -4*z - 3*j = -j - 52. Suppose -c = o - 27, 0 = 3*o + 3*c + c - 83. Calculate the remainder when o is divided by z.
12
Let n be 1*2 + (-110 - 27). Calculate the remainder when 44 is divided by (n/20)/((-18)/24).
8
Let z = -20 - -36. Let r = 219 - 211. Suppose -29*v = r*v - 4033. What is the remainder when v is divided by z?
13
Let z = -80 + 79. Let f(i) = -25*i + 13. What is the remainder when 122 is divided by f(z)?
8
Suppose -5*h + 2032 = 2*b - 9*h, 0 = b - 4*h - 1030. What is the remainder when b is divided by 181?
97
Suppose -4*f + 4*a + 292 = 0, -3*a + 136 = 7*f - 5*f. Let z = f - 36. Calculate the remainder when 99 is divided by z.
29
Suppose -3*g + 9*p + 24 = 13*p, -2*g - 3*p = -14. Suppose -2*a + 120 = 4*x, -4*x - 252 = 2*a - 6*a. What is the remainder when a is divided by g?
14
Let p = -125 + 183. Suppose -108*w + 4*g = -104*w - 1136, -5*g = -5. Calculate the remainder when w is divided by p.
53
Let z = 141 + -91. Suppose 4*r + 0*r = -3*n + 44, z = 3*n - 2*r. What is the remainder when 47 is divided by n?
15
Let w be 2/(-10) - 7888/(-40). Suppose -w = 5*b - 1272. Calculate the remainder when b is divided by 12.
11
Calculate the remainder when 2/(16/1) - (29900/(-160) - -45) is divided by 51.
40
Let k(o) = o**2 - 21*o + 81. Let i be k(16). Calculate the remainder when 91 is divided by -2*2/i - -28.
19
Suppose -2028 - 881 = -18*z - 137. Calculate the remainder when z is divided by (-4 - 1)*(-81)/15.
19
Let h(l) = 54*l**2 - 5*l - 15. Let u be h(-4). Suppose -24*i + u = -13*i. What is the remainder when i is divided by 30?
19
Suppose -4*o + 1510 = -5*q, -2*o + 4*q = -43 - 709. Calculate the remainder when o is divided by 64.
60
What is the remainder when 3944 is divided by -4 + (13 + -13)/4 + (-196)/(-2)?
90
Suppose s - 502 = 4*q - 2*q, -4*q + 996 = 2*s. Suppose -s*v + 497*v + 111 = 0. What is the remainder when 107 is divided by v?
33
Suppose 4*a = 8*a. Suppose a = 18*v - 9*v + 738. Let i = v + 99. Calculate the remainder when 62 is divided by i.
11
Let v(y) = -25*y - 95. Let b be v(-8). Suppose -25 = 4*f - b. Calculate the remainder when f is divided by 12.
8
Let l be (-2)/(3 + 8/(-2)). Suppose -3*q = 4*g - 110, -4*q = -l*g - 124 - 52. Let f(r) = -76*r - 2417. What is the remainder when q is divided by f(-32)?
12
Let t = 88 - 85. What is the remainder when 90 is divided by 4 + (6 - (-63)/t)?
28
Suppose -54 = -3*p + 66. Let g = 444 - 327. What is the remainder when g is divided by p?
37
Suppose 3*r + 199*m - 333 = 198*m, r + 5*m - 111 = 0. Calculate the remainder when r is divided by 9/(-6)*(-98)/21.
6
Let k = -4655 - -4662. Suppose 0*q - 20 = -4*q. Suppose 3*u + 6*h - k*h - 385 = 0, 0 = 4*u + q*h - 488. What is the remainder when u is divided by 32?
31
Suppose 46*t + 163 = 68*t - 233. Calculate the remainder when 1000 is divided by t.
10
Let a = 189733 + -189688. Suppose 436 = 3*y + 52. Calculate the remainder when y is divided by a.
38
Suppose 0 = 5*h - 2*u + 12, 3*h + 2*u + 4 = -0*h. What is the remainder when 50 is divided by h - ((-1)/(-1) - 22)?
12
Let h = -5192 + 5201. Calculate the remainder when 1443 is divided by h.
3
Let i = -33 + 61. Suppose 8*s + i = s. Calculate the remainder when (-888)/(-16)*s/(-6) is divided by 20.
17
Let k = 1 - 1. Let n be (2 - 1)*(-18 + 17)*-5. Suppose n*w - 89 - 71 = k. Calculate the remainder when w is divided by 6.
2
Let o(p) = p**2 - 30*p - 19. Let q be o(-20). Suppose d - l + q = 6*d, 3*d = -2*l + 583. What is the remainder when d is divided by 20?
17
Suppose 0 = -3*p + 24, -4459 = -10*i - 5*p - 489. Calculate the remainder when i is divided by 116.
45
Suppose -45 = -21*s + 18. Suppose 236 = 3*k + 9*x - 10*x, -s*k - 3*x + 240 = 0. What is the remainder when k is divided by 8?
7
Let s = -30015 - -30021. Calculate the remainder when 645 is divided by s.
3
Suppose -2*t = -3*u - 3069, 5*t - 4217 = 5*u + 3443. Calculate the remainder when t is divided by 38.
7
Suppose 33*b - 376 = 2103 - 499. Suppose 2*r - 266 = -0*r. What is the remainder when r is divided by b?
13
Suppose 3*i + 0*g = -g + 80, 4*i = 4*g + 112. Suppose 22*s = i*s - 50. Suppose -2*b + z = 2*b - 198, 5*z = s. What is the remainder when b is divided by 13?
11
Let r(j) = 13*j - 10*j - 19*j + 12 + 4*j + 4*j**2. Let a be 4/(-14) + 406/49. Calculate the remainder when r(a) is divided by 29.
27
What is the remainder when 6145 is divided by 2/(-24) - (-8 + 1705/(-12))?
145
Let v(w) = -130*w - 708. Calculate the remainder when v(-19) is divided by 21.
19
Suppose -12*k + 4946 = 290. Let z = k - 379. What is the remainder when z is divided by 2?
1
Let m(g) = g**3 - 5*g**2 - 68*g - 26. Let y(s) = 5*s - 7. Calculate the remainder when m(12) is divided by y(10).
37
Suppose 11 = 10*h - 9*h - 60. What is the remainder when 120 is divided by h?
49
Suppose 0 = 17*f + 57025 - 362566. Calculate the remainder when f is divided by 84.
81
Let j(a) = 10*a - 14. Suppose 0 = -f - 3*i - 8, 2*i + 29 = 2*f - i. Let w be j(f). Let y = w - 33. Calculate the remainder when y is divided by 4.
3
Let c = -19 + 24. Suppose -5*v + 38 = -3*i, -c*v + i = 2*i - 34. Calculate the remainder when v is divided by 21/(-6)*(-9)/(-126)*-24.
1
Let r = -155 + 195. Suppose 3*u + 4*b - 285 = 2*b, -4*u + 5*b + 380 = 0. What is the remainder when u is divided by r?
15
Suppose -2*m - y + 2494 = -61, 0 = -y - 1. What is the remainder when m is divided by 23?
13
What is the remainder when (4 + 16 + -5)*(-430)/(-10) is divided by 128?
5
Let f = 0 + 0. Let l(t) = -t**2 + t + 26. Let a(c) = 265*c + 18594. Calculate the remainder when a(-70) is divided by l(f).
18
Let d be (-49)/35 + 12/(-20). Calculate the remainder when (3 + d)*(140 - -2) is divided by 13.
12
Suppose 676 = v + 681, -5*q + 4*v = -1170. What is the remainder when q is divided by 101?
28
Suppose 507 = 19*z + 10*z + 10*z. Calculate the remainder when 272 is divided by z.
12
Suppose 0*r - 4940 = 3*v - 4*r, 8210 = -5*v + 2*r. Let l be v/90 - 4/(-18). Let a = 25 + l. What is the remainder when a is divided by 3?
1
Suppose 5*w + 2*t = 360, 2*t + 216 = 58*w - 55*w. What is the remainder when 552 is divided by w?
48
What is the remainder when 265 is divided by 3 - (-58 + 5) - 11?
40
What is the remainder when (9 - (-235)/(-25))/(8/(-13040)) is divided by 128?
12
Calculate the remainder when 6030/12 - 210/60 is divided by 88.
59
Let n(w) = -w**2 + w - 15. Let z be n(4). Let q = z + 65. Let o = 364 + -347. Calculate the remainder when q is divided by o.
4
Suppose z + 4*l + 0*l - 1 = 0, -2*l + 8 = 2*z. Let h be z/(-5 - 0) - 44. Let i = h - -48. What is the remainder when