 q = -3 + -2. Let j be c(q). Suppose 2*z - j + 25 = y, -3*y + 96 = 2*z. Calculate the remainder when z is divided by 20.
14
Suppose 5*y - 37 = -2*o + 6*y, -y - 58 = -3*o. Calculate the remainder when -1*(2076/(-21) + (-3)/o) is divided by 25.
24
Let f = -81 + 154. Let s(i) = i**3 - 15*i**2 - 12*i + 60. What is the remainder when s(17) is divided by f?
69
Let p = -7271 + 7531. What is the remainder when 747 is divided by p?
227
Let t = -4497 - -4514. What is the remainder when 706 is divided by t?
9
Let i(h) = -2*h**3 + 52*h**2 - 35*h - 17. Calculate the remainder when i(23) is divided by 13.
12
Suppose -41*v + 24*v = -4590. Let w = 174 - 135. What is the remainder when v is divided by w?
36
Suppose -184 - 38 = -18*d + 1470. What is the remainder when 233 is divided by d?
45
Let b(x) = 23 - 11*x + 16*x - 8*x. Let h be b(-6). Let z = 52 - h. What is the remainder when 32 is divided by z?
10
Suppose 247 = 8*q - 185. Suppose 13*g - 6*g = 1113. What is the remainder when g is divided by q?
51
Let z = 5331 + -4626. Calculate the remainder when z is divided by 91.
68
Suppose -104*i + 1497 = -4223. What is the remainder when i is divided by 13?
3
Suppose -131*j + 4658 = 6*j. Calculate the remainder when 1392 is divided by j.
32
Let t = -202 + 291. Let i = 1967 + -1947. Calculate the remainder when t is divided by i.
9
Suppose 2*w + 510 = 2*w + 6*w. What is the remainder when 1371 is divided by w?
11
Let t be (-12)/(-10)*(-200)/12. Let n = t - -36. Let j(p) = 773*p + 4695. What is the remainder when j(-6) is divided by n?
9
Let g be (24/(-20))/(4/(-10)). Let a be g/(-5) + (-56)/40. What is the remainder when -1 + -3 + 22 + a is divided by 4?
0
Let g(l) = -2*l**3 + 34*l**2 - 58*l - 29. Calculate the remainder when 487 is divided by g(15).
0
Let p = 20 + 32. Suppose 0 = -4*q + 3*j + 29, -3*q - j + 7 = -5. Suppose q*g + 2*w = 47, 3*g - 52 = -g + 2*w. What is the remainder when p is divided by g?
8
Suppose -3*j = 3*b - 966, 3*b - 165*j + 163*j - 941 = 0. Calculate the remainder when b is divided by 77.
9
Suppose 95*p - 98*p - 2*u = 555, p + 2*u = -185. Let q = p + 226. Calculate the remainder when 121 is divided by q.
39
Calculate the remainder when (4075/175)/((-9)/(-126)) is divided by 68.
54
Suppose 18*k - 12 = 15*k. Suppose 2*s + 4 + 6 = -5*t, k*t + s + 8 = 0. Let f = 46 - t. What is the remainder when f is divided by 13?
9
Suppose 5*h - 43 = -2*u - 0*u, -5*u + 65 = 4*h. Let a = -135 + 160. Calculate the remainder when a is divided by u.
7
Let s(q) = -14*q**3 + 14*q**2 + 40*q - 13. Calculate the remainder when 1137 is divided by s(-3).
24
Let u(j) = -16*j - 93. Let x(v) = -5*v**2 + 7*v - 1. Let p be x(5). Calculate the remainder when (8 - 6)/((-2)/p) + 1 is divided by u(-7).
16
Suppose -2*q + 6 + 0 = 0. Let k(j) = 11*j**3 - j**2 + 2*j - 7. What is the remainder when k(q) is divided by 17?
15
Suppose 5*d + 35 = 3*f, 4*d - 9 = -10*f + 5*f. Suppose y = -11*y - 60. Calculate the remainder when 83/4 + (y/4)/(-1) is divided by f.
2
Let q = -124 + 16. Let t = 165 + q. What is the remainder when t is divided by 15?
12
Suppose 76*n - 10245 - 4965 = 6374. Calculate the remainder when n is divided by 212.
72
Suppose 0 = -13*n + 10*n + 54. Let l be n/(-4) + (-17)/(-34). What is the remainder when 14 is divided by (l - -7) + -2 + 3?
2
Let a(m) = 7*m + 84. Let s(u) = 2*u + 21. Let d(o) = 2*a(o) - 9*s(o). Let h be d(-16). Let q = h + -28. Calculate the remainder when 72 is divided by q.
12
Let l(y) = y**3 - 3*y**2 - 5*y + 6. Let o be l(4). Let r(x) = -x. Let i be r(-20). Suppose 4*p = o*p + i. Calculate the remainder when 38 is divided by p.
8
Let k = -1314 + 1641. What is the remainder when k is divided by 71?
43
Let f(p) = -p**3 + 8*p**2 + 6*p - 4. Suppose 0 = 13*w - 355 + 212. Calculate the remainder when f(7) is divided by w.
10
Suppose 640*c - 658*c = -882. Calculate the remainder when c is divided by 31.
18
Suppose h - 12 - 29 = 0. Suppose 3*y - 36 = 33. Suppose r - x - 1 = y, r - 4*x - 33 = 0. What is the remainder when h is divided by r?
20
Let z = 88 - 41. Calculate the remainder when z is divided by (-6)/36*18/(-27)*63.
5
Let c = -4547 - -4547. Let v be -1*(2 - 4/1). Suppose c*p + 2*p - v = 0. What is the remainder when 1 is divided by p?
0
Suppose 2*y - w - 139 = -2*y, 5*w + 83 = 3*y. What is the remainder when 67 is divided by ((-68)/y)/(2/(-18))?
16
Let i(d) = d**2 - 16*d + 74. Calculate the remainder when 169 is divided by i(9).
4
Let t be (-32)/(-6)*21/2. Let o = t - 119. Let h = -29 - o. What is the remainder when h is divided by 18?
16
Let u(b) = b**3 - 58*b**2 - 391*b - 26. Let a = 30 + -6. Calculate the remainder when a is divided by u(-6).
8
Suppose 10*r + 5*r = 20280. Suppose 0*k + r = 8*k. Calculate the remainder when k is divided by 56.
1
Suppose -5*d = 4*i - 1166, 3*d + i - 935 = -d. Suppose -12*u = -6*u - d. Suppose -3*j + 48 = -u. Calculate the remainder when j is divided by 5.
4
Let k(n) = 5*n**2 + 28*n - 13. Let o be k(-6). What is the remainder when 8/6*(o + 370/4) is divided by 62?
60
Let u(j) = 9*j**3 - 5*j**2 + 11*j - 13. Let k be u(2). Suppose k = -11*o + 215. What is the remainder when 18 is divided by o?
4
Let n(f) = f**2 - 11*f + 13. Let h be n(10). Suppose -2*w + h*w - 2*s - 51 = 0, 0 = 5*w - 2*s - 287. Calculate the remainder when w is divided by 13.
7
What is the remainder when 931 is divided by (-12718)/(-14) - ((-21)/196)/((-4)/16)?
23
Let k(m) = 1560*m - 6486. What is the remainder when k(5) is divided by 120?
114
Let s = 88 - 296. Let w = 717 - 328. Let m = s + w. Calculate the remainder when m is divided by 23.
20
Suppose 13*p = -47*p + 18720. Calculate the remainder when p is divided by 254.
58
Let p = -428 - -436. Let v(x) = 5*x**2 + 15*x - 102. Calculate the remainder when v(p) is divided by 11.
8
Suppose k = 5*y + 102, 118 = 4*k + 5*y - 415. Let s = -82 + k. What is the remainder when 59 is divided by s?
14
Let x = 146 - 142. Suppose -2*q + 62 = 12. Calculate the remainder when 288/x*(-44)/(-33) is divided by q.
21
Let p(c) = -c**3 + 13*c**2 - 26*c - 34. Calculate the remainder when 1792 is divided by p(7).
76
Suppose -7*y = v - 88, -3*y + 223 - 49 = 3*v. Calculate the remainder when 1528 is divided by v.
44
Suppose 2*d = -4*k + 198, -4*k = -6*k - 10. What is the remainder when 4685 is divided by d?
107
Suppose 206 - 11 = 5*x. Let h = 43 - x. Calculate the remainder when 147 is divided by h/3*855/38.
27
Let l(k) be the first derivative of -k**4/4 + 4*k**3 + 4*k**2 - 29*k - 58. What is the remainder when l(12) is divided by 24?
19
Let q be (1224/(-30))/((8/20)/(-1)). Suppose 18 + q = 8*p. What is the remainder when 59 is divided by p?
14
Let f(n) = 10*n. Suppose 111 = 4*r - 117. Suppose -6*j + 45 = -r. Calculate the remainder when j is divided by f(1).
7
Let o be (-19 + 20)/(2/6). Suppose -j - 3*r = 13, -2*j + 2 = o*r + 13. Calculate the remainder when 6 is divided by j.
0
Let i = -7237 - -7371. What is the remainder when i is divided by 65?
4
Let k be (6/9)/((-1)/60). Calculate the remainder when (k/(-5) + -197)/(-1) is divided by 49.
42
Let n(y) = y**2 + 10*y - 614. What is the remainder when 1996 is divided by n(21)?
35
Suppose -2*d + 3*f - 73 = 2*f, -107 = 3*d - f. Let n be 323/d*2*-4. Let t = 81 - n. What is the remainder when t is divided by 4?
1
Let y(w) = 7*w - 16. Let d be y(3). Let n be 7/(7/(-3)) + d. Calculate the remainder when 23 is divided by (18/4 + 0)/(1/n).
5
Let n = -1658 - -4769. Calculate the remainder when n is divided by 11.
9
Suppose -6*n - 87 = -399. Let o be 5746/n + 6/4. Suppose 7*u - 11*u = -o. Calculate the remainder when 83 is divided by u.
27
Suppose -4*q + 4*r + 1268 = 8*r, 2*r = -3*q + 954. Suppose 0 = 4*f - 3*g - q, 0 = -4*f + 22*g - 27*g + 288. Calculate the remainder when f is divided by 39.
38
Suppose -1 = -5*v + 4*b + 2570, v - 515 = b. What is the remainder when v is divided by 167?
10
Let j be (3 - -40)*(-2 - -2 - 4). Let x = j + 201. Calculate the remainder when 138 is divided by x.
22
Suppose -40 = -3*s + 68. Calculate the remainder when -1994*(-1)/18 + 8/s is divided by 41.
29
Suppose 0 = -4*k + 3*d - 45 + 1447, 0 = 2*d - 4. What is the remainder when k is divided by 122?
108
Let j(p) = -p - 5. Let y be j(-4). Let v be ((-1)/y)/((-6)/18). Calculate the remainder when -36*((