10
Suppose 4*o + 4*a + 12 = -0, 4*o + 15 = -a. What is the remainder when 123 is divided by ((-140)/(-50))/(o/(-20))?
11
Calculate the remainder when (307/614)/((-2)/(-4588)) is divided by 141.
19
Let v be (-6855)/(-27) - 9/(-81). Suppose -5*a + 66 = -v. What is the remainder when 190 is divided by a?
62
Let u = -29129 + 42115. What is the remainder when u is divided by 37?
36
Let l = 57 + -54. Suppose c = -3*c + 2*y + 30, -2*c = -l*y - 25. What is the remainder when 7 is divided by ((2 - 0) + -1)*c?
2
Suppose 5*g - 4*t - 18 = 0, -5*g - 3*t + 27 = -2*g. Suppose -y = -3*f - 27, -7*y - 5*f + 27 = -g*y. Calculate the remainder when 102 is divided by y.
21
Let n be 12 - (-3 - (-130)/13). Let c(z) = -z**3 + 6*z**2 - 5*z + 6. Let w be c(4). Suppose -n*d = 3 - w. Calculate the remainder when 3 is divided by d.
0
Let n = 229 + -173. Suppose 52*j - 61*j = -3015. What is the remainder when j is divided by n?
55
Let p = -14565 + 17113. Calculate the remainder when p is divided by 25.
23
Let i(t) = 132*t**2 - 26*t + 41. What is the remainder when i(-8) is divided by 32?
25
Calculate the remainder when 480 is divided by ((-186)/9)/(1/(-2)*3/9).
108
Suppose -5*z + 5*i + 44 = -41, -3*z + 2*i + 46 = 0. Suppose -z*y = -18*y - 120. Let d = y + 59. What is the remainder when 232 is divided by d?
37
Calculate the remainder when (89220/50)/((-1)/5 + 25/75) is divided by 97.
94
Let f = 7620 - 7592. What is the remainder when 189 is divided by f?
21
Let q = 68 - 39. Suppose 3*j = 14 - 8. Suppose 0 = 9*t + j*t - 913. What is the remainder when t is divided by q?
25
Let s(y) = 214*y - 12339. Let c = -531 + 1039. Calculate the remainder when c is divided by s(58).
70
Suppose -3*k - 6*r + 6 = -9*r, -34 = -5*k - 3*r. Suppose 4*b - 1080 = -3*i + k*b, 5*b + 1810 = 5*i. Calculate the remainder when i is divided by 11.
7
Suppose 3*g = 8*g - 2485. Let u(t) = 780*t + 3920. What is the remainder when g is divided by u(-5)?
17
Suppose -406*k + 260*k + 27302 = 0. What is the remainder when k is divided by 173?
14
Suppose 2*f - 391 = -2*s + 199, -f + 295 = 2*s. Let n = 689 - f. What is the remainder when n is divided by 18?
16
Let z(d) = -2*d**3 - 24*d**2 - 3*d + 14. Calculate the remainder when z(-12) is divided by 27.
23
Calculate the remainder when 49 is divided by (-6)/(-36) + 22*(-35)/(-60).
10
Let i = 165 + -118. Let k = -56063 - -56073. What is the remainder when i is divided by k?
7
Suppose 33*h = -50*h + 913. Suppose -3*z = 2*w + w - 126, -126 = -3*z - 2*w. Calculate the remainder when z is divided by h.
9
Let a = -9135 + 9168. What is the remainder when 8479 is divided by a?
31
Suppose 0 = 31*n - 3447 + 1401. Calculate the remainder when 197 is divided by n.
65
Let b = -3505 - -3526. What is the remainder when b is divided by 3*51/36 + 3/(-12)?
1
Suppose 4*y = -2*l - 478, 0 - 2 = 2*l. Let j = y - -156. Calculate the remainder when 220 is divided by j.
35
Let l(q) = 81*q - 57. Let t(y) = -5*y**2 - 17*y + 15. Let s be t(-4). Calculate the remainder when l(s) is divided by 40.
26
Let x = 1212 - 1151. What is the remainder when 790 is divided by x?
58
Suppose j - 1 = -4*g, 7*g - 2*j = 3*g + 10. What is the remainder when g*((-7)/(14/388))/(-2) is divided by (-97)/(-3) + (-4)/(-6)?
31
Suppose -87 = 2*c - 33. What is the remainder when 49 is divided by 2/6 + -7 + (-1044)/c?
17
Suppose 4*k - o - 7 = 0, 2 = 5*o - 3. Suppose 15*q = k*q + 130. Calculate the remainder when 268 is divided by q.
8
Suppose 91*y + 43330 = 47078 + 63319. Calculate the remainder when y is divided by 49.
2
What is the remainder when (-42)/(-63) + (-3)/((-45)/5435) is divided by 286?
77
Let f(k) = k + 43. Let j be f(-38). Suppose j*c - 5*d + 43 = 7*c, -c = -3*d - 5. Let s = 38 - 25. What is the remainder when c is divided by s?
1
Suppose -f - 28985 + 27823 = -15*f. What is the remainder when 3564 is divided by f?
78
Suppose -j = -h - 72, -5*h = 4*j - 293 + 23. Calculate the remainder when 1259 is divided by j.
69
Let j(r) = -45*r**3 - r - 1. Let n = 26 + -27. Let k be j(n). Suppose 2*c = k + 57. What is the remainder when c is divided by 18?
15
Suppose 552*b - 547*b = -5*w + 1055, 2*w - 401 = 5*b. Calculate the remainder when 22047 is divided by w.
207
Let f = 15 + 0. Suppose 7*d + 3*j + 1 = 5*d, 5*d + j = 17. Suppose d*y = 15 + 85. Calculate the remainder when y is divided by f.
10
Suppose w + 2*w - 18 = 2*p, -5*w + 5*p + 35 = 0. Suppose -4*i - 248 = -w*u, -4*u = i - 388 + 155. What is the remainder when 116 is divided by u?
57
Calculate the remainder when (-12*8/9)/(30/(-495)) is divided by (-5 - 85/(-15))/(2/129).
4
Let d = 2 + 1. Suppose 5*q + d = 4*m - 3, 0 = q + 4*m - 18. Suppose g - q*l = -3*l + 21, -4*l = -20. What is the remainder when 47 is divided by g?
15
Suppose 0 = -2*v - 4*f + 670, 470 - 107 = v - 5*f. Calculate the remainder when v is divided by 5.
3
Calculate the remainder when 56 is divided by ((4 - 2) + 10)*(0 - (-6)/8).
2
Suppose -13*z = 2*z + 105. Let s(t) = -18*t - 107. Calculate the remainder when s(z) is divided by 11.
8
Let z = -122 + 137. Suppose -3*j = -4*w + 182, 8 = 55*j - 59*j. What is the remainder when w is divided by z?
14
Let n = -1281 + 1609. Calculate the remainder when n is divided by 26.
16
Suppose 2*v - 5*h = -26496 + 26481, 5*v = 4*h + 73. Let x be (-3)/(-12) - (-3)/4. What is the remainder when v is divided by 114/8 + x/(-4)?
11
Suppose -4*d - r = -27, 4*r = -d + 2 + 1. What is the remainder when 21 + (5/10 - 7/(-2)) is divided by d?
4
Suppose 5*g - 6 = 4*g. Let a(k) = -2*k**3 + 12*k**2 - 12*k + 4. Let b be a(4). What is the remainder when b/6*-36*10/(-100) is divided by g?
0
Let w(a) = 210*a**3 + 22*a**2 + 2*a - 22. Let n(t) = 84*t**3 + 9*t**2 + t - 9. Let f(v) = 12*n(v) - 5*w(v). What is the remainder when 157 is divided by f(-1)?
37
Let u(l) = -4*l + 3*l**2 + 2*l + 2 + 3*l**2 + l**3. Suppose -219*i = -223*i + 111 + 161. Calculate the remainder when i is divided by u(-3).
33
Suppose -b - 39 = -2*z - 12, -5*b = -z. Let r(x) = -4*x**3 + 28*x**2 + 290*x - 1426. Calculate the remainder when r(5) is divided by z.
14
Let l = -3079 + 3217. What is the remainder when 306 is divided by l?
30
Let p(f) = -23*f. Let j be p(2). Let h = 34 - j. Calculate the remainder when h is divided by (-18)/(-3 + 5)*-3.
26
Let a = -14052 - -15035. What is the remainder when a is divided by 41?
40
Let h = -1946 + 1146. Let v = -765 - h. What is the remainder when 149 is divided by v?
9
Suppose 0 = -138*z + 139*z + 224. Let o = z - -231. Calculate the remainder when (1 + -40)*(-4)/6 is divided by o.
5
Let g = 158 - 143. Let i(j) = -j**2 + 21*j + 58. Calculate the remainder when i(21) is divided by g.
13
What is the remainder when 717 is divided by (4 - 1)/((-18)/1440*-3)?
77
Let u(j) = -9 - 45 - 24 + 2*j - 11*j. What is the remainder when u(-12) is divided by 9?
3
Let k = -12 + -17. Let o = k + 44. Let l(z) = -z**2 - 16*z - 18. What is the remainder when l(-6) is divided by o?
12
Calculate the remainder when 248 is divided by (0 - (-15)/(-6))/((-15)/636).
36
Let l(w) = 2*w**2 + 147*w - 2584. What is the remainder when 715 is divided by l(-89)?
15
Suppose 0 = -2*u + 3103 - 2887. Suppose -2*t = t - 18. Suppose -3*s - u = -t*s. Calculate the remainder when s is divided by 23.
13
Let k(d) = 4*d + 31. Let g(m) = -m + 2. Let o = 14 - 15. Let c(p) = o*k(p) + 5*g(p). Calculate the remainder when 41 is divided by c(-4).
11
Suppose -a + 48 + 624 = 2*p, 3*p - a = 1008. Suppose 3*b = 3*o - p, 2*b - 57 - 61 = -o. Suppose 15*l = 21*l - o. What is the remainder when l is divided by 7?
5
Suppose -192 = z - 193, -4*i + 4*z + 3360 = 0. Suppose 3 = -j + 7, 3*j + 23 = 5*q. Suppose 692 = q*m - i. Calculate the remainder when m is divided by 55.
54
Suppose -w - 12*w = -65. Suppose -24 = -4*z - 11*k + 8*k, 4*z = -w*k + 32. Calculate the remainder when 44 is divided by z.
2
Suppose -5*h + 802 = 3*f, -5*f - 47 = 4*h - 686. What is the remainder when h is divided by 44?
29
Suppose 4*b = 444 - 8. Let z(g) = 28*g + 2441. What is the remainder when b is divided by z(-86)?
10
Let f(n) be the third derivative of n**2 + 2/15*n**5 + 1/3*n**3 + 0 + 1/6*n**4 + 0*n. What is the remainder when 45 is divided by f(-2)?
19
Calculate the remainder when ((-82)/4)/(-3*(-17)/(-1224)) is divided by 100.
92
Let q(x) = -4*x**3 + 8*x*