ppose 43*x - 270 = 52*x. What is the remainder when 54 is divided by ((-12)/5)/((-201)/x - 7)?
6
Let y(a) = -2539*a + 7642. What is the remainder when 1765 is divided by y(3)?
15
Suppose 23*m + 24933 = 25600. What is the remainder when 2016 is divided by m?
15
Suppose -20 = -44*u + 49*u. Calculate the remainder when 34 is divided by 5 + u + -4 + 18.
4
What is the remainder when (8 + (-268)/16)/(1/(-228)) is divided by 50?
45
Suppose 43 = -4*k - 5*m + 322, -78 = -k - 4*m. What is the remainder when 27981 is divided by k?
63
Let c(j) = 14*j - 405. Let p be c(30). Suppose p*x - 279 = 171. Calculate the remainder when (-2066)/(-10) + (-4)/(-10) is divided by x.
27
Let y = -63 + 287. Suppose -t - 2 = 0, 0 = 4*b - 2*t - 0*t - y. Calculate the remainder when b is divided by 8.
7
Suppose 2*z - 292 = -4*v + 5*z, 0 = v - z - 75. What is the remainder when 439 is divided by v?
37
Let l(b) = 20*b - 2. Suppose 27*g - 1330 = -4*g - 4*g. What is the remainder when l(4) is divided by g?
2
Let j = -236 - -331. Let q = -34 + 44. Suppose q - 70 = -5*k. Calculate the remainder when j is divided by k.
11
Let p = -1184 + 1244. What is the remainder when 1436 is divided by p?
56
Let s(j) = j**3 - 7*j**2 - 3*j - 30. Let t be s(11). Let q = -407 + t. Calculate the remainder when q is divided by 6.
2
Suppose -8*p + 30 = -2. Suppose 4*k = p*b - 64, 3*k - 7*k - 78 = -5*b. Calculate the remainder when 221 is divided by b.
11
Let y = -3113 + 3433. Calculate the remainder when y is divided by 50.
20
Suppose 0 = 2*d - 4*n - 190, 22*d = 17*d - n + 508. Calculate the remainder when 296 is divided by d.
94
Let g(q) = q**3 + 10*q**2 + 11*q - 3. Let b = 31 - 19. Let a = b - 20. What is the remainder when g(a) is divided by 20?
17
Suppose 801 = 5*m - 2*f - 196, -4*m = -f - 800. Suppose -m = n - 224. What is the remainder when n is divided by 14?
9
Let i = -3019 - -3042. What is the remainder when (-2)/(-8) - (-342)/8 is divided by i?
20
Let g = 10949 - 10929. What is the remainder when 1428 is divided by g?
8
Suppose -y + 5*t = -57 + 11, -y - t = -58. Calculate the remainder when 186 is divided by y.
18
Suppose 2*f - 242 = 418. Suppose 5*q - f = 6*t - 3*t, 5*q + 5*t - 290 = 0. Calculate the remainder when 250 is divided by q.
61
Let f(j) = 5*j**2 - 38*j - 2. Let i be f(16). Suppose -60 - i = -10*h. Calculate the remainder when h is divided by 25.
23
Let f(w) = 3*w + 9 - 5*w**2 + 10*w**2 + 3*w + 4*w**2. What is the remainder when 97 is divided by f(-2)?
31
Suppose -4*z = -5*m - 9594, -5*z + 6*z + 5*m - 2411 = 0. Suppose -680 = -39*f + z. What is the remainder when 154 is divided by f?
75
Let t(i) = 2*i + 6. What is the remainder when 40 - (-5 - 54/(-6)) is divided by t(4)?
8
Suppose 216 = 4*k - 4*o, -5*k + 255 = -0*o - 2*o. Let x(w) = 21 - 6*w + 39 - 73. What is the remainder when k is divided by x(-5)?
15
Let z(b) = -176*b + 12. Let a be z(1). Let r = 185 + a. What is the remainder when r is divided by 4?
1
Let a = -1602 - -1617. Calculate the remainder when 1182 is divided by a.
12
Let f(b) = -428*b - 1385. What is the remainder when f(-13) is divided by 32?
19
Let t(h) = -2*h**3 - 11*h**2 + 6*h + 5. Let r be t(-6). Suppose -26*o = r*o - 651. Calculate the remainder when 199 is divided by o.
10
Let j(a) = 2*a**2 - 4*a + 4. Suppose 2*m + 875 - 2480 = -g, -g - 3*m = -1608. Let h = -1520 + g. What is the remainder when h is divided by j(4)?
19
Suppose 2*p - 232 = -u + 5*u, 0 = -u. Let a = p - 77. What is the remainder when 466 is divided by a?
37
Let r(m) = 4 + 0 - 3*m**2 + 0 - 1 - 9*m**2 - 40*m. Calculate the remainder when 282 is divided by r(-3).
12
Suppose 74897*y - 74878*y - 456 = 0. Suppose -t + 5*t + 48 = 0. Let r = 83 + t. What is the remainder when r is divided by y?
23
Calculate the remainder when (-6)/(-7)*38850/100 is divided by 137.
59
Suppose -3*n = u - 77, -435 = -2*u - 3*u - 5*n. Let t = 125 - u. Calculate the remainder when 192 is divided by t.
27
Let q(p) = -26*p + 196. Let x be q(10). Calculate the remainder when (0 + 24)*x/(-24) is divided by 18.
10
Suppose 18 = -u + 13. Calculate the remainder when 26 is divided by (-38)/(-9) - (u + (-94)/(-18)).
2
Let r = 13446 + -11598. What is the remainder when r is divided by 208?
184
Suppose 0 = l - 38 + 15. Suppose k + l = -3*v, 4*v + 0*k = k - 33. Calculate the remainder when (-522)/(-13) + v/52 is divided by 22.
18
Let p = 17 + -11. Suppose -f = 5, 3*s - 50 = f - p*f. Calculate the remainder when 4 - (-149 + 24/6) is divided by s.
24
Suppose 0 = -70*i + 67*i + 9. Suppose 457 + 153 = 4*y + 2*k, i*k = -y + 140. Calculate the remainder when y is divided by 26.
25
Let u be (-3753)/21 - 22/77. Let h = -166 - u. What is the remainder when h is divided by 1?
0
Suppose 3*x - y - 161 - 119 = 0, 0 = 4*x - 4*y - 360. Suppose 0 = 2*t + 3*t - x. Suppose 0 = -7*c + 51 + t. Calculate the remainder when 17 is divided by c.
7
Let c = 66679 + -66507. What is the remainder when c is divided by (0 - 14)/((-2)/5)?
32
Suppose -6*t + 4*t + 30 = 0. Let f = t - 2. Suppose -5*z = -4*s - 331 + 65, -2*z - 4*s + 84 = 0. What is the remainder when z is divided by f?
11
Let l(p) = p - 44. Let g be l(14). Let r be 2 - 492/g - 2/5. Let w = r - 0. What is the remainder when 35 is divided by w?
17
Let a(i) = -297*i + 1540. Let h(c) = 11*c - 57. Let r(j) = 2*a(j) + 55*h(j). What is the remainder when 87 is divided by r(8)?
21
Suppose -5*v + 103 = 3*t, 3*t = 2*t + v + 13. What is the remainder when 488 is divided by t?
5
Suppose 8*t + 36 = 20*t. Suppose 3*v - v = -3*w + 75, t*w - 54 = 5*v. Calculate the remainder when 43 is divided by w.
20
Let w = -2874 + 2904. Calculate the remainder when 556 is divided by w.
16
Let d(n) = 13 - 7 - 5 - 4*n + 0*n + 9*n**2. What is the remainder when 76 is divided by d(-1)?
6
Let m be (-5 + 22/4)*6. Suppose -m*f + 4*f - 145 = 5*l, -3*f + 5*l + 385 = 0. What is the remainder when f is divided by 43?
34
Suppose 0*c - 4*c = -16. Suppose c*k - 60 = k. Suppose 8*f - 556 = 2*m, -66*f + 64*f + 2*m = -136. What is the remainder when f is divided by k?
10
Suppose -q = 131 - 174. Suppose 0 = m - 5*f + 119, -2*f + 0*f = -m - 128. Let o = m + 304. What is the remainder when o is divided by q?
41
Suppose -11*r + 14*r = -24. Calculate the remainder when 85 is divided by 19 - (3*r)/(-6).
10
Let k(g) = -2*g**3 - 3*g**2 + 2*g + 89. Let s be k(0). Let c = -80 + s. Calculate the remainder when 32 is divided by c.
5
Suppose y - 184 = -0*y + 5*i, 854 = 5*y - 3*i. Suppose 5*m - 188 = -8*r, -29*m + 33*m + r - 172 = 0. Calculate the remainder when y is divided by m.
37
Let l(g) = -g**2 - 2*g + 7. Let p be l(-5). Let x be 268*((-36)/p + -4). Let b = 144 - x. Calculate the remainder when b is divided by 6.
4
Suppose 2*p + 27*k - 1404 = 32*k, -5*p - 4*k = -3576. What is the remainder when p is divided by 74?
46
Suppose -27 = 4*f - 147. Suppose 5*n = t + 20, 0 = n - 3*t + 2 - 6. Suppose -f = -n*c - c. Calculate the remainder when c is divided by 4.
2
Let c be -7*(-13)/7 - 1. Let y(f) = -37*f + 445. Calculate the remainder when -2*-1*1/2 is divided by y(c).
0
Let b(y) = 5 + 202393*y - 202323*y + 11*y**2 - 1. What is the remainder when b(-7) is divided by 6?
5
Let u be (4 - (-371)/(-14))*(-11 + -1). Let k = 120 + u. What is the remainder when k is divided by 49?
47
Let a be 2*(-4)/(-8)*13. Let u(h) = -4*h + 83. Calculate the remainder when u(a) is divided by 10.
1
Let t(w) = -3*w**2 + 25*w. What is the remainder when t(7) is divided by 19?
9
Let p = 6089 + -4654. Calculate the remainder when p is divided by 120.
115
Let j(n) = -2*n**2 + 12*n - 13. Let b be 6/1 - (-8)/(-4). Let a be j(b). Suppose -w = w - 10, 2*w + 128 = a*s. What is the remainder when s is divided by 12?
10
Let w(y) = -3918*y**3 - y**2 + 25*y + 26. Calculate the remainder when w(-1) is divided by 80.
78
Let j = 1172 - 484. Suppose -c + 17*c = j. Calculate the remainder when c is divided by 24.
19
Let m(p) be the third derivative of 7*p**5/60 - 2*p**3/3 + 22*p**2. Let o be m(6). Suppose -2*k - o = -4*k. Calculate the remainder when k is divided by 25.
24
Let q(r) be the third derivative of 5*r**4/12 + r**3/2 - 120*r**2. Calculate the remainder when q(26) is divided by 88.
87
Suppose -4253 - 297 = -25*u. Calculate the remainder when u is divided by 23.
21
Calculate the remainder whe