Let o = -68 - -126. Suppose 4*g + 5*w + 88 = 0, o = -2*g - 3*w + 4*w. Calculate the remainder when 6 is divided by (g/18)/(1/(-2)).
0
Let o = 64 + -66. Let s(r) = -r**2 - 3*r + 3. Calculate the remainder when s(o) is divided by 2.
1
Suppose 47*z - 44*z + 206 = 2*i, -2*i + 226 = 2*z. Calculate the remainder when i is divided by 56.
53
Let m(i) = i**3 - 8*i**2 + 6*i - 20. Suppose -2*c = 1 - 21. What is the remainder when m(8) is divided by c?
8
Let y(a) = 13*a - 5. Let s be y(-11). Let k = 209 + s. What is the remainder when k is divided by 13?
9
Let s = -30 + 39. Let v = s - -2. Calculate the remainder when 43 is divided by v.
10
Suppose u = 5*i - 670, 2*u = -4*i + 3*u + 535. Calculate the remainder when i is divided by 36.
27
Suppose v = 8*d - 4*d - 9, -5*v + 3*d + 6 = 0. Let r(c) = 16*c - 8. Calculate the remainder when r(v) is divided by 11.
7
Let d(v) = 9*v + 1. Let g = -4 - -5. Let t(c) = 5*c - 12. What is the remainder when t(8) is divided by d(g)?
8
Let h(f) = -f**2 - 11*f + 42. What is the remainder when -2*(-86)/8*2 is divided by h(-13)?
11
Suppose 6*a = a + 315. Let c = 23 - 3. Let t = 33 - c. Calculate the remainder when a is divided by t.
11
Let s(v) = -59*v - 224. Suppose 4*c - 7 = 5. What is the remainder when s(-4) is divided by c?
0
Suppose -3*c + 5*d + 11 = 0, d - 3 + 4 = 0. Calculate the remainder when (-376)/(-21) - 4/(-42) is divided by (c/(-4))/(-1)*8.
2
Suppose 5*s + 3*n = -2*n + 185, 5*n = 4*s - 103. Suppose 2*g - 2*w = -17 + 47, 2*g - 4*w = s. What is the remainder when 53 is divided by g?
11
Let l = 308 + -242. Calculate the remainder when 459 is divided by l.
63
Calculate the remainder when -142*((-9)/2)/9 is divided by 26.
19
Suppose -2*l + 14*y = 16*y - 12, -4 = -2*y. What is the remainder when 16/3*3/2 is divided by l?
0
Let j(b) = b**2 - 9*b + 20. Let a be j(6). Suppose 0*t = -3*h + t + 159, 3*h - a*t - 156 = 0. Calculate the remainder when h is divided by 19.
16
Let k(g) = 2*g**2 - 58*g - 50. Calculate the remainder when k(38) is divided by 310.
14
Let p = -42 + 107. Let d = -37 + p. Calculate the remainder when ((-102)/8 - 1)*-4 is divided by d.
27
Suppose 2*j + 5*l - 1053 = -0*l, -j + 522 = l. Calculate the remainder when j is divided by 29.
26
Let q(a) = -4 - a**3 - 2*a**2 + 2 - 2 - 1 + 4*a. Calculate the remainder when q(-4) is divided by 7.
4
Let d = -878 + 1204. Calculate the remainder when d is divided by 48.
38
Calculate the remainder when (54/9 - -50) + 3 is divided by 3.
2
Suppose 32 - 10 = 2*a. Let n(f) = -f**2 + 12*f + 27. Calculate the remainder when n(a) is divided by 0/1 - 10*-2.
18
Let u(i) = 24*i - 458. What is the remainder when 65 is divided by u(20)?
21
Suppose -4*q = 3*a - 79, -q + 5*q - 5*a = 39. What is the remainder when (11044/q)/11 + (-2)/(-8) is divided by 8?
7
Suppose 0 = 32*j - 72*j + 1080. Calculate the remainder when 915 is divided by j.
24
Suppose 43 = 4*j - 2*z + 17, -2*z = 2*j - 28. Suppose 0*c - j = -c. Let r(v) = -v**2 - 10*v - 7. What is the remainder when r(-6) is divided by c?
8
Let u be ((-22)/(-8))/(-11) + 2/8. Suppose u = 5*q - q - 124. Calculate the remainder when q is divided by 11.
9
Let t(s) = -4*s - 3. Let p be t(6). Let b = 63 + p. Suppose 15*k = 100 + 50. Calculate the remainder when b is divided by k.
6
Suppose 3*p + p = -j - 157, 0 = -5*p + j - 185. Let k = 51 + p. What is the remainder when 36 is divided by k?
10
Suppose 7*x + 0*x - 77 = 0. Suppose i - 15 = -4*i. Suppose 0 = 2*r - i*r + 32. Calculate the remainder when r is divided by x.
10
Suppose 9*v - 1531 = 98. Calculate the remainder when v is divided by 60.
1
Let z = 57 - 57. Suppose z*h = 2*d - 4*h - 98, -5*d - 3*h + 219 = 0. What is the remainder when d is divided by 16?
13
Suppose -5*z + 2*l + 1841 = 0, 2*z + l = 480 + 251. Suppose z = 4*s - 5. Calculate the remainder when s is divided by 12.
9
Suppose -8*h + 1169 = -167. What is the remainder when h is divided by 21?
20
Calculate the remainder when 88 is divided by (-95)/(-4) - (-8 + 155/20).
16
Let c(k) = k**2 - 2*k - 3. Suppose -5*g + 12 = -g. Let m be c(g). Calculate the remainder when 4*2/4 + m is divided by 1.
0
Suppose -u + 240 = -4*m + 6*m, 358 = 3*m + u. Let b(g) = 17*g - 299. What is the remainder when m is divided by b(19)?
22
Suppose 5*u - 2*a - 40 = 0, 0 = -4*u - 5*a + 68 - 3. Suppose 30 = u*o - 15*o. Let z(t) = 3*t**2 + t + 8. What is the remainder when z(o) is divided by 28?
26
What is the remainder when (-14328)/(-144) - (-1)/(-2) is divided by 53?
46
Let f(r) = -r**3 - 2*r**2 - 3*r - 2. Suppose 10 + 5 = 3*m. Suppose z - m*t - 18 = -2*z, -3*t - 35 = -4*z. Calculate the remainder when z is divided by f(-2).
3
Let d be (-2 + 5)/(-3) + -5 + 49. Suppose 37 + d = 5*z. Calculate the remainder when 47 is divided by z.
15
Suppose 4*w = 8*w - 20. Suppose 31 = 4*a + 3*r - 249, -w*a = 2*r - 350. What is the remainder when a is divided by 18?
16
Let s = 7254 - 7237. Suppose 2*p - 4*x - 44 = 0, -2*p = p + 5*x - 110. What is the remainder when p is divided by s?
13
Let n(v) = 0*v - 7*v + 7*v + 18*v**3. Let s = -3 + 4. Calculate the remainder when 69 is divided by n(s).
15
Suppose -374*u - 1104 = -380*u. Calculate the remainder when u is divided by 117.
67
Let k = -29 - -53. What is the remainder when k is divided by 8?
0
Suppose -5*w + 515 = -1115. What is the remainder when w is divided by 47?
44
Suppose -4*t = 5*l - 129, -5*l - 3*t + 0*t + 133 = 0. What is the remainder when (-5)/((-20)/6)*56 is divided by l?
26
Calculate the remainder when (524/6)/1 + (-13)/39 is divided by (-4)/(-18) - 196/(-9).
21
Suppose -10*g = -14*g + 36. What is the remainder when 87 is divided by g?
6
Let i be 24/9*69/2. Suppose -2*s = 2*s + i. Calculate the remainder when -1 + 2 + -1 - s is divided by 8.
7
Suppose 3*v = -i - 2*i + 549, -4*v = 5*i - 732. Suppose -5*d - v = -6*d. What is the remainder when d is divided by 31?
28
Suppose -103*b + 97*b = -186. Calculate the remainder when 278 is divided by b.
30
Suppose x - 145 = -4*x. Calculate the remainder when 550 is divided by x.
28
Let g(k) = -k**3 - k**2 + 22*k - 41. Calculate the remainder when 206 is divided by g(-6).
3
Suppose -2*v + 68 = -6*v. Let m be -3 + 0 + (-8 - v). Let b(k) = k**3 - 6*k**2 + 8*k - 2. What is the remainder when b(m) is divided by 12?
10
Suppose -6*y = -4*y. Suppose -n - 12 = -4*f + n, y = n + 2. Suppose -3*c = z - 19, 20 = f*c - 3*z - 0*z. What is the remainder when 39 is divided by c?
4
Let q = -64 - -111. Suppose -1460 + 755 = 14*l - 1069. What is the remainder when q is divided by l?
21
Suppose 102 = 6*a - 216. Calculate the remainder when a is divided by 11.
9
Let d = -253 + 269. Calculate the remainder when 47 is divided by d.
15
Let r = 65 + -62. Suppose r*v - 5*v = -42. What is the remainder when 78 is divided by v?
15
Suppose 5*z = 2*x, 0 = -2*z + 2*x - 6*x. Suppose w - 2*k - 3*k - 25 = 0, z = -2*k - 6. Calculate the remainder when 88 is divided by w.
8
Let z = -1098 - -1112. Suppose -j = 2*n + 2*j - 217, -4*n + 2*j + 442 = 0. Calculate the remainder when n is divided by z.
12
Calculate the remainder when 68 is divided by 1116/90 + (-4)/10.
8
Suppose t - 229 = -4*g, -2*g + 169 = t - 58. What is the remainder when t is divided by 61?
42
Let h(i) = i + 49 + 19*i**2 - 49. What is the remainder when h(2) is divided by 16?
14
Calculate the remainder when (-1645)/(-9) + 24/108 is divided by 31.
28
Suppose 4*w = -0*w - 12, 2*c - w - 87 = 0. Suppose 2*g - 5*z - 60 = -3*g, 0 = -5*g - z + c. What is the remainder when 25 is divided by g?
7
Let l = 210 + -205. Suppose 5*z + 5*p = 100, 43 = 3*z - 3*p + 7. Calculate the remainder when z is divided by l.
1
Let d(o) = o**3 - 11*o**2 - 11*o - 8. Let a be d(12). Let y = 1 + a. Suppose 65 = y*r + 5. What is the remainder when 47 is divided by r?
11
Let v be (-12)/(-16) + (-1)/(8/166). Let c = v - -45. What is the remainder when c is divided by 10?
5
Suppose 5*a + 23 - 208 = 0. Calculate the remainder when a is divided by (-209)/(-22)*6/3*1.
18
Let t(i) = -2*i - 45. Let m be t(-24). Suppose 5*j + 4*w = 48, m*j - 4*w - 45 = -w. Calculate the remainder when 82 is divided by j.
10
Let i(k) = 13*k**2 - 1. Suppose -2*l + 3*m + 85 = 0, -9 = -l - m + 21. Calculate the remainder when l is divided by i(-1).
11
Suppose 70 = 3*l + 2*l. Let u = 12 + l. Calculate t