= 2*v - 2*i, 4*v - 3*i - 15 = -54. Let x(y) = -2*y + 48. What is the remainder when k(v) is divided by x(18)?
9
Let l(t) = -t**3 - 13*t**2 - 25*t + 19. Let z(x) = -x**3 - 12*x**2 - 25*x + 18. Let u(j) = 3*l(j) - 2*z(j). What is the remainder when 46 is divided by u(-13)?
6
Suppose 50*u - 376 = 42*u. Let s = u - 24. Calculate the remainder when 124 is divided by s.
9
Let h(i) = -2*i**3 - 2*i**2 - 7*i - 4. Suppose -19 + 47 = 4*s. Suppose 0 = -7*u - s*u - 56. What is the remainder when h(u) is divided by 41?
38
Suppose -8*d - 4*d = 0. Let z be (3 + -3)/(2 + d). Suppose 13*c - 5*c - 408 = z. Calculate the remainder when c is divided by 13.
12
Let l = 434 - 270. Let x = 200 - l. Calculate the remainder when 790 is divided by x.
34
Let j = -16 - -26. Let s = -245 - -403. Let c = s - 141. What is the remainder when c is divided by j?
7
Suppose 128 = 2*u + 4*u + 10*u. Suppose -2*n + 2 = -n. What is the remainder when n*3/((-12)/(-58)) is divided by u?
5
Suppose -2*u + 80 = 4*l, 4*u + 126 = 24*l - 19*l. Calculate the remainder when 28 is divided by l.
6
Let u = -207 - -213. What is the remainder when 3718 is divided by u?
4
What is the remainder when (-813)/(-5)*140/21 is divided by 68?
64
What is the remainder when 477 is divided by (464/(40/10))/1?
13
Let o(w) = 2*w**2 + 6*w - 1. Calculate the remainder when o(4) is divided by (16 - 9 - 330/(-50))*(-30)/(-12).
21
Let h(n) = 2*n**3 - 113*n**2 - 252*n - 32. What is the remainder when h(59) is divided by 355?
20
Let n be (19 - 17) + (-4)/1 - -4. Suppose 5*o - z - 288 - 145 = 0, n*o - 3*z - 181 = 0. Let a = 38 - 16. What is the remainder when o is divided by a?
20
Let m(j) = j**2 + 8*j + 19. Let z = 213 - 218. Calculate the remainder when 4 is divided by m(z).
0
Let h(f) = -4*f**3 + 353*f**2 + 630*f + 32. Let c = 6 + 21. What is the remainder when h(90) is divided by c?
5
Let y = 13 + 12. Let u = y + -16. What is the remainder when 2546/50 - 6/(-8)*464/4350 is divided by u?
6
Suppose -91*r + 1826 = -8*r. Calculate the remainder when 1465 is divided by r.
13
Suppose -26*n + 693 = -5*n. Suppose -16297 = -n*j - 10*j. What is the remainder when j is divided by 76?
75
Let a(k) = -6*k**3 + 5*k**2 - 6*k + 14. Let h(u) = 7*u**3 - 6*u**2 + 7*u - 15. Let w(i) = 6*a(i) + 5*h(i). What is the remainder when w(0) is divided by 5?
4
Suppose -28*n + 31897 = 9385. Calculate the remainder when n is divided by 12/(-27) + 1266/54.
22
Suppose 64 = 2*k - 10. Let p be 3 + -5 + -202 + -8. Calculate the remainder when (p/3)/(3 - (-22)/(-6)) is divided by k.
32
Let a = 4525 + -4434. Calculate the remainder when 171 is divided by a.
80
Suppose -49*j + 44*j + 403 = 3*i, 0 = -4*i - 5*j + 539. Calculate the remainder when 556 is divided by i.
12
Let g be 101720/280 - (-2)/(-7). Calculate the remainder when 331/4 - 3/(-12) is divided by (-2)/(-3) - (-9922)/g.
27
Let i(l) = 7*l**2 + 0 + 48*l + l**3 - 42*l - 9. Let v be i(-4). Suppose 89 + v = 8*z. Calculate the remainder when z is divided by 2.
1
Suppose 0 = -43*o + 5148 + 1130. Suppose -5*b + 42 = -3*b. What is the remainder when o is divided by b?
20
Let u(j) = 17*j**2 + 4*j - 9 - j**3 - 22 - 10. Let y be u(17). Suppose 609 = -6*g + y*g. What is the remainder when g is divided by 7?
1
Let r(d) = -d**2 + 46*d - 330. Calculate the remainder when 380 is divided by r(9).
2
Let i = 2608 - 2532. Calculate the remainder when 141 is divided by i.
65
Let w be ((-5)/(-2) + -3)*-58. Suppose 0 = 3*q + b - 24, w = 2*q + 7*b - 2*b. Let r = q - -30. Calculate the remainder when r is divided by 10.
7
Let a = -127 + 211. Suppose -246*t = -244*t - a. Calculate the remainder when 156 is divided by t.
30
Let y(u) = u**2 + 2*u + 3. Let g be y(-3). Suppose 5*w = g*w - 61. Let m(t) = t**3 + 15*t**2 - 2*t - 14. What is the remainder when w is divided by m(-15)?
13
Let b be 10/(-5) + 4 + -5 - -53. Suppose 3*h - 2*u = b, 2*h - 4*u = -2*h + 68. What is the remainder when 125 is divided by h?
13
Let f(a) = 19*a - 4. Let g be f(1). Let i = g + -15. Suppose i = 16*w - 9*w - 91. What is the remainder when 89 is divided by w?
11
Let h be (-10 - -10) + (-12)/2. Let n(f) = f**3 + 6*f**2 - 3*f - 9. Calculate the remainder when 34 is divided by n(h).
7
Let d(b) = b**2 + 147*b + 305. Suppose 0*z = 5*z - 60. Calculate the remainder when d(-151) is divided by z.
9
Let z(r) = -26*r - 35. Suppose 0 = g - 3*s + 15, 0 - 7 = -3*g - 4*s. Calculate the remainder when 206 is divided by z(g).
34
Let d be 22/(-88) - (-467)/(-4). Let b = d + 156. Calculate the remainder when b is divided by 10.
9
Let b be 8/10*(0 - 135/(-6)). What is the remainder when 238 is divided by 4*(5 + 1) - (20 - b)?
18
What is the remainder when (-129)/(-172) - (-7419)/12 is divided by 8?
3
What is the remainder when 102 is divided by (3/(-2))/((15/(-84))/((-185)/(-74)))?
18
Suppose -233*o - 12381 + 252608 = -206434. Calculate the remainder when o is divided by 477.
9
Let y be 1004/12*3/(-1). Let r = y + 257. What is the remainder when 22 is divided by r?
4
What is the remainder when 674 is divided by (-4)/1 + (10 - (-1800)/6)?
62
Let y = -1905 + 1949. What is the remainder when 965 is divided by y?
41
Suppose -5*f + 46 = -6*d - 213, 2*d = -3*f + 189. What is the remainder when f is divided by 232/12 - (-2)/3?
19
Suppose 99*x + 20279 = 61265. What is the remainder when 440 is divided by x?
26
Let u(x) = -7*x + 5. Let s be (21/(-5))/((-69)/115). Suppose k - 136 = -4*g, -2*k - s*g + 252 = -9*g. Calculate the remainder when k is divided by u(-4).
29
Let d(g) = -635*g - 714. What is the remainder when d(-4) is divided by 63?
62
Let g = 14691 - 14681. Let u(m) = -m**2 - 11*m + 4. What is the remainder when u(-6) is divided by g?
4
Suppose -2*c + 3*k + 4 = -19, -5*c = 5*k + 5. Let z(h) = c*h**2 + 5*h**2 - 2*h**2 + 2*h - 6*h**2. What is the remainder when 44 is divided by z(3)?
14
Let l(t) = -2*t**2 + 17*t - 27. Let a be l(14). Let f = a - -190. Suppose u - 23 = -3*j, -2*j = -5 + 1. Calculate the remainder when u is divided by f.
8
Suppose 3108 = 65*f - 77*f. Let n = -20 - f. Calculate the remainder when n is divided by 16.
15
Let m(u) = -3*u**2 + 63*u + 70. Suppose -62*v + 286 = -49*v. What is the remainder when 13 is divided by m(v)?
1
Suppose 3*a + 18 = 3*z, 3*z - 7 = a + 9. Suppose 0 = m - 3, i = -z*m + 38 - 10. What is the remainder when 23 is divided by i?
10
Let a = 3121 - 3016. Calculate the remainder when 150 is divided by a.
45
Suppose 44 = -3*z + 116. Let y be ((-28)/(-84))/((-1)/(-171)). Suppose 0 = -l - 3*f + y, 215 = -0*l + 3*l - 2*f. Calculate the remainder when l is divided by z.
21
Suppose 0 = 8*d + 10*d. Suppose d = 14*x - 10*x - 784. What is the remainder when x is divided by 17?
9
Let f be 3 - 3/((-24)/20)*-2. What is the remainder when 89 is divided by f/12 - (75/(-18) + -3)?
5
Let n be (-68)/(-18) + (-2)/(-9). Suppose -n*p = 2*p - 12. Suppose 2*c + j + 2*j - 156 = 0, 4*j - 160 = -p*c. What is the remainder when c is divided by 19?
15
Suppose 635*v - 410*v - 150300 = 0. Calculate the remainder when v is divided by 216.
20
Let i(y) = 11*y + 90. Let q be i(-20). Let k = q - -138. What is the remainder when 29 is divided by k?
5
Let t(v) = -64*v - 21. Suppose 5*z - 108 = 2*g, -5*z = -g - 0*g - 109. What is the remainder when t(-1) is divided by z?
21
Let o be -10 - -7 - (-5 - 0). Suppose -f + 3*f + o = 0. Let v(k) = -11*k**3 + 2*k**2 + 2*k. What is the remainder when v(f) is divided by 3?
2
Suppose 65*n + 49*n - 961362 = 0. What is the remainder when n is divided by 148?
145
Let m(a) = a**3 + 56*a**2 + 241*a - 51. What is the remainder when 2802 is divided by m(-5)?
9
Suppose 0 = -4045*a + 4105*a - 69480. What is the remainder when 3523 is divided by a?
49
Suppose 35*a - 110 = 100. Suppose -a*x + 4*x = -2*p + 302, -4*x = -p + 154. Calculate the remainder when p is divided by 38.
36
Suppose 2*c = 5*c - 81. Let k(f) = f**3 - 10*f**2 + 29*f - 53. Calculate the remainder when k(8) is divided by c.
24
Suppose 16*u = 21*u + j - 1199, -j = 2*u - 479. What is the remainder when 483 is divided by u?
3
Suppose -5*y + 2*y + 25 = 2*c, 2*c - 5 = y. Suppose -5*i + 110 = -r, -4*i - y*r + 66 = 7. What is the remainder when 375 is divided by i?
18
Suppose 4*u + 3*t + 42 + 117 = 0, 0 = 2*u - 4*t + 74. Let z = u + 48. Suppose 3*g - 140 = -35. Calculate the rem