d by l.
8
Suppose 279*q = 130*q + 4023. Let y be (44/(-12))/(1/(-18)). Let j = 116 - y. What is the remainder when j is divided by q?
23
Let k(z) = 33*z + 12. Let m be k(5). Suppose 0 = -19*y + m + 450. Calculate the remainder when 71 is divided by y.
5
Let g = 153 + 138. Suppose 0 = 2*v + 5*b - g, -6*b = 3*v - 4*b - 453. Suppose 0 = -7*k - 2*k + v. What is the remainder when 50 is divided by k?
16
Let c = 114 - 58. Suppose 54*l + 8 = c*l. Suppose 5*v - 24 = -l*d + 3*d, 0 = 2*v - 2*d. Calculate the remainder when 19 is divided by v.
3
Suppose 3*k = 40*c - 37*c - 1521, -4*k = 2*c - 1026. Calculate the remainder when c is divided by 73.
71
Let m = 73 - 75. What is the remainder when (-13)/(52/16) + (23 - m) is divided by 3?
0
Suppose 2225*i = 2325*i - 10000. Calculate the remainder when 604 is divided by i.
4
What is the remainder when 293 is divided by ((-864)/384)/((-3)/88)?
29
Suppose 369 = -6*o - 483. Let l = o - -153. What is the remainder when 15 is divided by l?
4
Let y(x) = -123*x - 1582. What is the remainder when 6445 is divided by y(-13)?
2
Suppose 7*c - 3*c - 5*i = 1428, -4*c - 5*i + 1428 = 0. What is the remainder when c is divided by 20?
17
Suppose 66*c - 4717 - 74 = 8343. Calculate the remainder when 3776 is divided by c.
194
Suppose -5*n = -354 + 379, -2*n + 74 = 4*x. What is the remainder when -1 + 186 + -1 + 4 is divided by x?
20
Suppose 5*y = -3*c + 85, 2*y + 5*c - 61 = -8. Suppose 5*r + 3*i + 14 = 0, 0*i + 4*i = -5*r - 12. Calculate the remainder when y is divided by 9*-4*r/48.
2
Let v(y) = -8*y - 154 + 3*y**2 - 143 + 464 - 156. What is the remainder when v(4) is divided by 10?
7
Let t = 5875 + -5842. What is the remainder when 9701 is divided by t?
32
Let c = -559 + 583. Let h be ((-30)/3 - -4) + 4. What is the remainder when (-497)/(-7) + 0/h is divided by c?
23
Suppose -18 = -215*h + 214*h. What is the remainder when 8153 is divided by h?
17
Let y = 7 + -2. Suppose -3*r - 7 = -f, 0 = -4*r - 6*f + 3*f - y. Calculate the remainder when 45 is divided by 567/35 - r/(-10).
13
Suppose -2*j = -5*h - 17, 4*j + 2*h - 43 = 3*h. What is the remainder when (7 - (-75)/(-11)) + (-1668)/(-22) is divided by j?
10
Suppose 4*q + 189 = c, 2*c + 133 + 65 = -4*q. Let l = q + 51. Calculate the remainder when 28 is divided by l.
1
Let g = 77 - 51. Let n(c) = c**2 - 3*c + 5. Let q be n(2). What is the remainder when 100 - (-3 + q - 1) is divided by g?
23
Let m be -20 - -21 - (1/1 - 117). Suppose -4*h + 123 = -b, -3*h - h = b - m. Calculate the remainder when (h*3/2)/1 is divided by 14.
3
Suppose 72*d - 61*d - 143 = 0. Let m = -23 - -60. What is the remainder when m is divided by d?
11
Suppose -876 = -4*a + 4*g, 3*a + 5*g - 385 = 272. Calculate the remainder when a is divided by (30/(-20))/((-33)/616).
23
Suppose -58*j = -17*j - 861. Suppose 1794 - 146 = 8*i. What is the remainder when i is divided by j?
17
Suppose -102*m - 19936 + 24733 = 39*m - 24*m. Calculate the remainder when (-2)/(-8) + (-582)/(-8) is divided by m.
32
Suppose 2*u - 190 = -4*b, -63 = -2*b + u + 30. What is the remainder when 609 is divided by b?
45
Suppose q - 4*b - 198 = 0, -4*b + 513 = 4*q - 179. Calculate the remainder when q is divided by 2/3*(-549)/(-6).
56
Let w = -87 + 86. Let n be w*5 + 81/9. Suppose n*y - 6*y = -56. What is the remainder when y is divided by 6?
4
What is the remainder when ((-565)/(-4))/(1055/31228) is divided by 26?
21
Suppose 0 = -0*j + 52*j - 13624. Calculate the remainder when 564 is divided by j.
40
Let s = -201321 + 201330. Suppose 0*y - 3*y + 51 = 0. Calculate the remainder when y is divided by s.
8
Let u be 138/(-161)*(-35)/4*-2. Let d(k) = 9*k**2 + 135*k + 21. What is the remainder when 208 is divided by d(u)?
19
Suppose -48*o - 43455 = -72571 - 64676. Calculate the remainder when o is divided by 180.
154
Let y = 73 - 38. Suppose -6*w + 34 = -8. Suppose 3*l = w*l - 40. Calculate the remainder when y is divided by l.
5
Let a be -2 - (10/6*3 - -274). Let j = 312 + a. What is the remainder when 56 is divided by j?
25
Suppose 23*l - 17*l - 186 = 0. Suppose -4*g + 30 = 5*b - 1, -3*g + l = -4*b. What is the remainder when 3/((-123)/66 + 2) is divided by g?
4
Suppose -70*w - 78*w + 29438 = -66*w. What is the remainder when w is divided by 189?
170
Suppose -10*z + 3*b = -5*z - 735, 3*b - 129 = -z. What is the remainder when z is divided by 47?
3
Suppose h - 3022 = 3*a, -4*a = -h + 3574 - 555. What is the remainder when h is divided by 202?
1
Let p be 168/44 - 2/(-11). Suppose -3*n = -23 - p. Suppose -3*k + 0 + n = 5*l, 0 = 5*k + 4*l - 15. Calculate the remainder when 11 is divided by k.
2
Let g be -565 + 3 + 0 + (-13 - -14). Let i = -472 - g. Calculate the remainder when i is divided by 48.
41
Let v(d) be the second derivative of d**5/20 + d**4/2 + d**3/2 - 2*d**2 + 3*d. Let u be v(-5). What is the remainder when (-4)/u*72/(2 + -6) is divided by 5?
2
Let s = -7128 + 7137. Calculate the remainder when 293 is divided by s.
5
What is the remainder when (-3)/(((-378)/(-385))/(-18)) is divided by 10?
5
Suppose -3*o + 2*u = -0*o - 484, -5*u + 253 = 2*o. Let n(s) = -8*s - 1. What is the remainder when o is divided by n(-7)?
44
What is the remainder when 3020 is divided by 1*112/(-8)*-2?
24
Let m be ((-4 - -10)/18)/((-4)/(-48)). Let d be -2 + 2 + (0 - 0). Let a = d + m. Calculate the remainder when 15 is divided by a.
3
Let n(i) = -2*i + 2. Let v be n(-2). Suppose 2*b = -5*k + b - 19, -2*k - v = 2*b. Calculate the remainder when 31 is divided by k/6 - 190/(-15).
7
Calculate the remainder when 846 is divided by 42 - (-12*5/40)/(3/6).
36
Let z = -30471 - -30585. Calculate the remainder when 912 is divided by z.
0
Suppose 0 = 2*v - 396 + 138. Let n = v - -100. Suppose 0 = -7*b + 139 + 22. What is the remainder when n is divided by b?
22
Suppose 0 = 9*j - 3*j - 3102. Let p = -487 + j. What is the remainder when 117 is divided by p?
27
Calculate the remainder when 4593 is divided by (0 - -1) + 1 - (-40 + 2).
33
Let l(o) = -5*o**3 - 11*o**2 - 3*o - 25. What is the remainder when 2016 is divided by l(-5)?
316
Let h(b) = 16*b + 65. Let t be h(-4). Let p(k) = 115*k**2 + 10*k - 11. What is the remainder when p(t) is divided by 30?
24
Suppose 521*l = 518*l + 5*h + 143, 0 = -l - 5*h + 41. What is the remainder when (270/(-4))/(6/(-12)) is divided by l?
43
Suppose 3*g - 110 = 4. Let y(d) = -6*d - g + 6 + 3*d. What is the remainder when 53 is divided by y(-16)?
5
Let u(j) = -j + 2. Let p be u(-14). Suppose -p*x = -18*x + 24. Suppose 7*z = x + 72. Calculate the remainder when 71 is divided by z.
11
Suppose 115*x - 143*x + 728 = 0. What is the remainder when 434 is divided by x?
18
Suppose 233*c - 214*c - 95 = 0. Suppose -5*l + 208 = y, 4*y - 128 = -4*l + 32. Calculate the remainder when l is divided by (c/3)/(1/9).
12
Suppose -6*h = -123 - 87. Let p be 198 - (21/h - (-46)/(-10)). Suppose 57 = -5*q + p. What is the remainder when q is divided by 11?
7
Let n(u) = u**3 + 53*u**2 + 152*u + 172. What is the remainder when 142 is divided by n(-50)?
70
Suppose 14*n = 1121 - 281. Calculate the remainder when 2096 is divided by n.
56
What is the remainder when ((-74)/(-3))/((-13)/(-78)) is divided by 24?
4
Let b = 80 + -13. Let v = -354 + 376. Calculate the remainder when b is divided by v.
1
Let p(q) = q**2 + 2*q + 63. Let v be p(0). Suppose -j = -v + 18. What is the remainder when j is divided by 12?
9
Let r(j) = 432*j + 472. What is the remainder when 170 is divided by r(-1)?
10
Let b(p) = 40*p + 1878. Calculate the remainder when b(-39) is divided by 54.
48
Let r = 1539 - 928. Suppose -770*k = -834*k + 2176. Calculate the remainder when r is divided by k.
33
Suppose 0 = 166*r - 7748036 + 2698482. Calculate the remainder when r is divided by 12.
11
Suppose -5*k - 2*m = -9*k - 672, 2*k + 3*m + 352 = 0. Let y = k + 255. What is the remainder when 164 is divided by y?
79
Calculate the remainder when 796 is divided by 24*(-16)/(-1536)*76.
17
Let o(n) = 32*n**2 - 12*n**2 - 18*n**2. Let q be o(-1). Calculate the remainder when (-2 + 88/(-40))/(q/(-10)) is divided by 3.
0
Suppose 5*h = -t + 116, -3*t - 10*h = -8*h - 309. Let z = t + -82. Calculate the remainder when z is divided by 10.
9
Suppose 0 = m + f - 54, f - 219 + 51 = -3*m. Calculate the remainder when (-216)/(-3) - (4 + 