pose 0 = -3*c + m + 19, -c - 3 = 3719*m - 3717*m. What is the remainder when -21*((-8)/6 - 1) is divided by c?
4
Suppose -25*y = -24*y + 44. Suppose -3*d = -3*m - 186, 3*d - 2*d - 77 = 4*m. Let j = y + d. What is the remainder when 23 is divided by j?
10
Let a(j) = 2*j**2 - 8*j + 12. Suppose 167 = -6*z + 11. Let v = -24 - z. Calculate the remainder when 6 is divided by a(v).
2
Suppose 5*l - 9274 = -2*j - 2777, 0 = 3*j - 18. Calculate the remainder when l is divided by 45.
37
Let n(h) = -31*h**3 - 3*h**2 - 8*h - 3. Let z(c) = -4*c - 170. Let i be z(-42). What is the remainder when n(i) is divided by 10?
9
Suppose -8*s = 7*s - 5*s. Suppose 4*x + 3*w - 16 = s, -5*w = -2*x + 1 + 7. Let k = 24 + x. What is the remainder when k is divided by 3?
1
Let t be (17/(-2) + 10)/((-6)/(-52)). Let u(n) = 15*n**2 - n - 2. What is the remainder when u(-2) is divided by ((-2)/(-8)*8)/(2/t)?
8
Suppose 75*j - 2796 - 18519 = 2610. Calculate the remainder when j is divided by 15.
4
Suppose 3152 = 4833*o - 4817*o. What is the remainder when 386 is divided by o?
189
Let j = -31402 - -31661. Calculate the remainder when j is divided by 11.
6
Let q = 46 + -22. Let w(o) = -o**2 + 21*o - 43. What is the remainder when w(6) is divided by q?
23
Let w(b) = 296*b**2 + 2*b - 1. Let q be w(2). Let z = -1165 + q. Let c(i) = 9*i**2 - 3*i - 1. Calculate the remainder when c(4) is divided by z.
21
Let t = 322 - 278. Suppose t*p = 35*p + 549. What is the remainder when p is divided by 8?
5
Suppose 28 = 2*y - 16. Let o(j) = 2*j**2 - 17*j - 415. What is the remainder when o(20) is divided by y?
1
Suppose 863 + 51 = -2*b. Let n = -390 - b. Suppose -21 = -4*j + 3*j. What is the remainder when n is divided by j?
4
Calculate the remainder when (-319)/((17 - 19) + 1) is divided by 271.
48
What is the remainder when 571 is divided by ((-25)/(-50))/(81/(-82) + 1)?
38
Suppose 26*p = 14*p + 72. What is the remainder when (p*86/18)/(4/12) is divided by 11?
9
Let a(u) = 16*u + 68. Let y be a(22). Let s(q) = -y + q**3 - q**2 + 415 + 0*q**2 - 6*q. Calculate the remainder when s(5) is divided by 11.
10
Suppose 5*k - 1950 = -2*x, 1542 = -6*k + 10*k - 2*x. Let y = k - 335. What is the remainder when 113 is divided by y?
7
Let m(p) = -5*p**3 - 2*p - 5. Let w be m(-3). Suppose -125 - w = -3*b. What is the remainder when b is divided by 8?
7
Let i(c) = -15*c - 122. What is the remainder when 739 is divided by i(-9)?
11
Suppose -87*z - 112*z = 60*z - 12950. Calculate the remainder when 1422 is divided by z.
22
Let j(t) = 30*t + 618. What is the remainder when 61 is divided by j(-20)?
7
Let q = 3647 - 3638. What is the remainder when 557 is divided by q?
8
Suppose -83*l = 66*l - 33078. Calculate the remainder when 2882 is divided by l.
218
Let f(q) = -27*q + 39. Let h be f(1). Suppose 2*o - h = 4*d, -4*o - 7*d = -5*d - 24. What is the remainder when 15 is divided by o?
3
Let t = 531 + -427. Let p = -130 - -175. What is the remainder when t is divided by p?
14
Suppose -8*b + 64*b = 26152. What is the remainder when b is divided by 48?
35
Suppose 0 = 24*d - 18*d - 6. Let b be d/1 - 132/(-2). Let c = 80 - b. Calculate the remainder when 62 is divided by c.
10
Let a(w) = 5*w**2 + 4*w - 7. Suppose 0 = 3*g - 12 - 3. Calculate the remainder when a(-4) is divided by g.
2
Suppose -z = 1, 5*d - 2*z = -80 + 312. Let r(q) = 6*q + 246. Calculate the remainder when d is divided by r(-39).
10
Let i be 10/2*28/35. Suppose 0 = 4*o - 12, -4*d + 63 = o - i*o. Suppose -5*c + 3*h + 103 = -3, -d = -c - h. What is the remainder when c is divided by 7?
6
Suppose -3*u = 4*v - 171, 4*v - 3*u = -u + 146. Calculate the remainder when 202 is divided by v.
7
Let i(l) = -76*l - 1. Let t be i(1). Let b(s) = 2*s**2 - 8*s - 4. Let y be b(-5). Let o = t + y. Calculate the remainder when 33 is divided by o.
6
Suppose 5*z = -9*z. Suppose -2*u - 2*y + 24 = 0, -4*u - y + z*y + 51 = 0. Calculate the remainder when 165 is divided by u.
9
Let s(t) = t**3 - 2*t**2 + 44*t - 360. Calculate the remainder when 776 is divided by s(7).
4
Suppose 17855*t + 6275 = 17880*t. Calculate the remainder when 1324 is divided by t.
69
Suppose -3*n + 5*c + 10 = 0, 128*c = 4*n + 131*c + 6. Suppose 3234 = -n*i + 22*i. Calculate the remainder when i is divided by 22.
15
Suppose -3*g + 21 + 87 = 0. Let d(a) = 5*a**2 - 4*a + 7. Suppose 5*m = -5*u - 10, 2*u - 8 = 2*m + 4. What is the remainder when g is divided by d(u)?
17
Let p = 57 - 35. Let f = -104 + 102. Calculate the remainder when p is divided by (f/(-3))/((-6)/(-45)).
2
Suppose -y = 2*u - 31, 85*y + 2*u = 88*y - 61. Calculate the remainder when 3790 is divided by y.
18
Let c(r) = -14*r - 49. Let a be c(-16). Suppose 2*i + 161 = a. What is the remainder when 13 is divided by i?
6
Suppose -8*d = -3*d + 190. Let m = d - -37. What is the remainder when (-248)/(-4) - (-2 + m) is divided by 33?
32
Let s(z) = z**3 + 22*z**2 + 10*z - 194. Calculate the remainder when 7730 is divided by s(-21).
34
Let g = -6755 + 7700. Calculate the remainder when g is divided by 26.
9
Let i(r) = -34*r + 355. What is the remainder when 354 is divided by i(7)?
3
Suppose 0 = 5*y - 3*n - 180, -59 = -2*y + 4*n + 27. Suppose 89*b + 240*b - 67*b = 164012. What is the remainder when b is divided by y?
32
Suppose 3*p + 503 - 482 = 0. Let a(t) = -30*t - 3. What is the remainder when a(-5) is divided by 3 + p*(-16)/56 + 5?
7
Let f(h) = h**3 + 14*h**2 - 31*h - 556. Calculate the remainder when 1870 is divided by f(-12).
102
Let a(x) = -x**2 - 56*x - 44. Let h be a(-55). Suppose h*w = 10*w + 172. What is the remainder when w is divided by 25?
22
What is the remainder when (-87)/(-9) + -10 - (-676)/3 is divided by 218?
7
Suppose -52 = -g + 5*u, 3*u = 3*g - 155 - 73. Suppose 6 + 45 = 3*h. What is the remainder when g is divided by h?
14
Let d(b) = -b**3 - 4*b**2 - 2*b. Let p be d(-4). Suppose -5*g + p*g = -3. Calculate the remainder when 35 is divided by (-510)/(-40) - (6/8 + g).
9
Suppose 2 = -s - 4. Calculate the remainder when 92 is divided by s/33 + 2170/77 + -2.
14
Suppose 20*h - 8*h = 48. Suppose 0 = 2*p + 8, h*l - 355 = -5*p + 121. What is the remainder when l is divided by 39?
7
Let a(q) = 14*q - 39. Let u be a(4). Suppose -3*d + u = s, -6*d - 4*s = -d - 40. Let m = -53 - -75. Calculate the remainder when m is divided by d.
2
Let m = 13541 - 3199. Calculate the remainder when m is divided by 26.
20
Suppose -199*j + 13564 = -29420. What is the remainder when j is divided by 121?
95
Let a = -290 + 332. Calculate the remainder when (-190)/76 - (-330)/4 is divided by a.
38
Let f(b) = -b**3 + 7*b**2 + b + 5. Let r(j) = j**2 + 17*j + 34. Let p be r(-15). Calculate the remainder when 113 is divided by f(p).
56
Suppose -5*c = -x + 76, -4*x - 3*c + 329 = -21. Calculate the remainder when 4032 is divided by x.
76
Suppose 48*r = 4*l + 47*r - 2447, 5*l + 12*r - 3125 = 0. What is the remainder when l is divided by 306?
1
Suppose 2*f - 2 = 5*i - 3*i, 3*f + 4 = -4*i. Suppose 2*p - 4*p + 90 = f. Let z = 594 + -570. Calculate the remainder when p is divided by z.
21
Let u = -27 + 37. Suppose 3*w - 137 = u. Calculate the remainder when w is divided by (-192)/(-12) + (-6)/2.
10
Let c(r) = 296*r - 7658. Calculate the remainder when c(29) is divided by 63.
44
Let r = -4828 + 21186. Calculate the remainder when r is divided by 133.
132
Suppose 4*g + z = -556, 445 = -4*g + z - 103. What is the remainder when ((-2)/(-14) + g/84)*-62 is divided by 24?
21
Let u = 54 + -25. Let f = 33 + -25. Suppose -f*j + 4*j = -64. Calculate the remainder when u is divided by j.
13
Suppose 3*h - 5*h + 4*k = -582, -10 = 5*k. Let c = 331 - h. Calculate the remainder when c is divided by 17.
10
Suppose -y - 17 = -2*n, 2*n - 2 = 2*y + 16. What is the remainder when 66 is divided by n?
2
Suppose -v + 129 = 5*h, 0 = v - 1 - 3. Suppose -18*g - 4487 = -h*g. Suppose 0 = 6*i - g - 139. Calculate the remainder when i is divided by 22.
20
Let j be ((-32)/(-64))/((-1)/720*-2). Let r = 38 + -112. Let d = j + r. What is the remainder when d is divided by 12?
10
Let h = -5795 - -5809. What is the remainder when 4575 is divided by h?
11
Suppose 0 = 18*l + 21 - 6681. Suppose -4*z = 0, 2*z = -5*s - z + l. Calculate the remainder when s is divided by 25.
24
Suppose -5*u = -4*g - 1368, -16*g + 10 = -2