 - 34, 485*z - 490*z = -5*n - 70. Let y(s) = 5*s**3 - s**2 + 2*s - 2. What is the remainder when y(4) is divided by z?
10
Suppose z - 41 = 2*k, -k = 4*z + 3*k - 116. Calculate the remainder when z is divided by (-17)/(-5) - 36/(-60).
1
What is the remainder when (2193/68 - 11)*(-296)/(-10) is divided by 207?
8
What is the remainder when 962/1 - (5 + 104/(-13)) is divided by 16?
5
Let i be -4 + 5 + -4 + -37 + 0. Let w = i - -48. Suppose -2*j = 81 - 303. What is the remainder when j is divided by w?
7
Let r be (4 - 5) + 5/((-5)/(-4)). Let w be ((-12)/(-2) + -2)/(r - 5). What is the remainder when 106 is divided by (w - 0)*5/(-20)*54?
25
Let i(w) = -3*w**2 - 32*w - 20. Let t be i(-10). Suppose -o + 120 = 5*b + 13, -o - 3 = t. What is the remainder when 32 is divided by b?
10
Suppose 5*p - 17*p = -192. Calculate the remainder when 1133 is divided by p.
13
Let h(g) = g**3 - 5 + 16 + 56192*g - 4*g**2 - 56224*g. Suppose -6*c + 2*c = -3*j + 58, -c = -3*j + 73. What is the remainder when j is divided by h(8)?
4
Suppose 5*p + 451 = n, -17*p + 14*p + 443 = n. What is the remainder when n is divided by 147?
5
Let g be (-64)/12*(-5 + -1). Suppose -12 = -36*i + g*i. Suppose -15 = 3*d - 4*d. Calculate the remainder when d is divided by i.
0
Let v(w) = -33*w - 91. Let c be v(-4). Suppose -c*m = -42*m + 158. Calculate the remainder when m is divided by 41.
35
What is the remainder when 231/28 + 2/(-8) is divided by 0/13 + 5 + 2?
1
Let z be (-52)/(-6)*(-4)/(16/(-42)). Suppose 0 = -3*s - 79 + z. Let f(o) = 3*o**2 - o + 3. Calculate the remainder when f(4) is divided by s.
3
Suppose -221 = p - 101 - 191. Suppose 4*f - 12 = -0, 645 = 3*u + 5*f. What is the remainder when u is divided by p?
68
Suppose -9*b - 65*b = -96792. Calculate the remainder when b is divided by 11.
10
Suppose -352 = 7*s - 93. Let x = s + 38. What is the remainder when x - -12 - (-8 - -10) is divided by 4?
3
Let b(r) = -r**3 + 22*r**2 - 13*r - 17. Let u be b(21). Suppose 67 = -4*n + u. What is the remainder when 81 is divided by n?
18
Suppose 10 = 4*f - 2*f. Suppose -f*j - 2 = 4*y, -2*y + 2*j = -4*y. Suppose -2*z = -i - 13 + 3, -4*z + 28 = y*i. What is the remainder when 8 is divided by z?
2
Let s be (-20*3/(-12))/((-2)/(-6)). Suppose 442 = -s*v + 3187. Calculate the remainder when v is divided by 23.
22
Suppose -2*t + 0*t - 4*l + 96 = 0, 4*t = 4*l + 240. Let u(w) = 26*w + 5 - 3 - 178*w**2 + 180*w**2. Calculate the remainder when t is divided by u(-14).
26
Suppose -5*o = d - 200, -2*o - 19*d + 21*d = -68. Calculate the remainder when 3776 is divided by o.
32
Let r(g) = 66*g - 140*g - 16 + 66*g. Let z(k) = 6*k - 3. What is the remainder when z(3) is divided by r(-3)?
7
Suppose -3*z + 422 = 4*k - 36, 2*z + k = 312. Let n = z + -139. Suppose 0 = 3*w - 222. Calculate the remainder when w is divided by n.
17
Let n = 16 + -8. Let c be -1 + 1 + -5 - 4. What is the remainder when ((-390)/20)/(c/6) is divided by n?
5
Let u be ((-6)/(-5))/((-21)/(-3010)). Suppose 8*c + u = 4*c. Let l = -38 - c. Calculate the remainder when 7 is divided by l.
2
Let k = 4643 - 4568. Calculate the remainder when 1274 is divided by k.
74
Suppose -10*t + 8*t = 372. Let f = t + 199. Let b = 15 - -1. Calculate the remainder when b is divided by f.
3
Let d(m) = 139*m + 46. Let t be d(3). Let s = -437 + t. What is the remainder when s is divided by 7?
5
Suppose 4*l = -4*m + 956, m - 959 = -3*m - l. Calculate the remainder when 1 is divided by (m/144)/(5/3).
0
Let q(h) = -h**3 + 19*h**2 - h - 40. Calculate the remainder when q(-4) is divided by 54.
8
Suppose -70*u = -67*u - 6. Suppose 5*c = -u*h + 101, 4*h - 6*h + 110 = 2*c. What is the remainder when 114 is divided by h?
56
Suppose 114*a - 17730 - 16584 = 0. What is the remainder when a is divided by 98?
7
Suppose -v + 109 = 3*c + 6, 0 = -3*c - 12. What is the remainder when 123 is divided by v?
8
Suppose 5*k - 4183 = -3*t, 2*k + 5608 = 4*t + k. What is the remainder when t is divided by 22?
15
Suppose 17*f - 4*x = 16*f + 79, 0 = 5*f + 4*x - 515. Suppose 3*u - 57 - 24 = 5*n, 3*u + n - f = 0. What is the remainder when u is divided by 9?
5
Let z = 20165 + -19846. Calculate the remainder when z is divided by 274.
45
Let n = -82 + 142. Let l = -54 + n. What is the remainder when (33/5)/(l/30) is divided by 6?
3
Suppose -42 = -y + 4*t, 6*y - 3*y = -5*t + 92. Suppose 0*o + y = o. What is the remainder when 10/15*(o - 1) is divided by 12?
10
What is the remainder when ((-258)/645)/((-4)/4190 - 0) is divided by 199?
21
What is the remainder when 535 is divided by (-62 - -99) + (-3)/12*(3 + 1)?
31
Let h = -44 + 105. What is the remainder when h is divided by ((-9603)/873)/(22/(-32))?
13
Let x = 239 + -227. Calculate the remainder when 527 is divided by x.
11
Let f(k) = -6*k**3 - 5*k**2 - 4*k - 39. Let l be f(-6). Let z = l - 949. What is the remainder when z is divided by 18?
8
Suppose -10*t = -8*t + 3*p - 49, 3*t = -3*p + 72. What is the remainder when 615 is divided by t?
17
Let y(v) = -2*v**2 - 119*v + 444. What is the remainder when 1338 is divided by y(-62)?
132
Let v = 899 - 662. What is the remainder when 786 is divided by v?
75
Suppose 89 + 51 = 7*g. Let s = g + -28. Calculate the remainder when (17 + 2)/((-4)/s) is divided by 13.
12
Suppose 34*x - 61*x + 297 = 0. What is the remainder when 459 is divided by x?
8
Let g = 20 + -1. Let m = 27 - g. Let j(z) = 2*z - 8. Calculate the remainder when 17 is divided by j(m).
1
Let b = 160 - 93. Suppose -1455 = -289*z + 192*z. Calculate the remainder when b is divided by z.
7
Suppose 4 = -2*h, 0 = -x - h + 630 + 39. Calculate the remainder when x is divided by 28.
27
Let p = 17056 + -17036. What is the remainder when 5894 is divided by p?
14
Let s(l) = 41*l - 147. Let k(i) = i**3 + 10*i**2 + 6. Let t be k(-10). What is the remainder when 393 is divided by s(t)?
96
Let t = -6 - -9. Let o(b) = -b**3 - 9*b**2 - 15*b + 3. Let z(h) = h**3 - h**2 - 10*h - 1. Let s be z(-3). Calculate the remainder when o(s) is divided by t.
1
Let g = 13677 + -13432. What is the remainder when g is divided by 19?
17
Let b(j) = 6*j**2 - 544*j + 905. What is the remainder when 227 is divided by b(89)?
2
Let o = -4329 - -4427. What is the remainder when o is divided by 35?
28
Let m = -605 + 614. Calculate the remainder when 1460 is divided by m.
2
Let o(t) be the third derivative of t**4/6 + t**3/3 + 14*t**2. Let x = 18 + -10. Calculate the remainder when o(5) is divided by x.
6
Suppose 362*t = 363*t - 17 - 35. Suppose -5*v + 1017 = 2*a, 3*v - 4*a = 2*v + 221. What is the remainder when v is divided by t?
49
Let f(c) = -c**2 - 20*c - 19. Let v be f(-17). Let r = v + 102. Calculate the remainder when r is divided by (-7)/112 - 482/(-32).
14
Let w(f) = 13*f + 6. Let x be w(3). Let z = -49 + x. What is the remainder when 18 is divided by z - (-3 - -7 - 19)?
7
Let i = 26 - 21. Suppose 0 = -32*u + 29*u + 2*a + 143, i*u - 239 = 3*a. What is the remainder when 183 is divided by u?
36
Let w = 20902 + -17820. Calculate the remainder when w is divided by 35.
2
Suppose 2*j + s = -974 + 4447, -2*j - 5*s + 3453 = 0. Calculate the remainder when j is divided by 29.
28
Suppose -6 = -4*t - c + 4, 0 = -4*t + 4*c. Let i be ((-40)/(-35))/4 + t/(-7). Suppose -2*p - 10*p + 120 = i. Calculate the remainder when 14 is divided by p.
4
Let k(c) = 2*c**2 - 29*c - 18. Let o(q) = -q**2 + 15*q + 8. Let t(b) = 3*k(b) + 5*o(b). What is the remainder when t(-7) is divided by 15?
14
Let s = 63 + -33. Calculate the remainder when s is divided by ((-28)/56)/(2/(-12)).
0
Suppose 3*b = -2*r + 114, -r + 57 = 8*b - 6*b. Suppose -16*h + r*h = 820. What is the remainder when 12*4*2*1 is divided by h?
16
What is the remainder when (-12057)/(-15) - 8/2*(-39)/780 is divided by 18?
12
Suppose -3 = t + 21. Let c = t + 34. Suppose 3*m + 3*x = 153, 2*m = -3*m - 4*x + 251. What is the remainder when m is divided by c?
7
Let j(y) = 17*y - 42. Let l be j(6). Suppose 2*x - 6*x = l. Calculate the remainder when 52 is divided by (-12)/(-12) - (-5)/(x/(-24)).
7
Let b(f) = 41*f. Suppose -4*q + 2 = c - 16, q - 8 = -2*c. Suppose 4*a - 8*x + 7*x - 83 = 0, -3*a + 4*x = -59. Calculate the remainder when b(c) is divided by a.
19
Let o(k) = 27*k**2 + 3*k - 2. What is the remainder when 6 + 183 - 24/(-4) is divided by o(1)