*z = -15*a + 18*a + 12, -3*z = -4*a - 16. Suppose -64*c + 59*c + 355 = z. Calculate the remainder when 352 is divided by c.
68
Suppose -3*i - 126 = 66. Let r(z) = z**2 - 4*z + 4. Calculate the remainder when r(6) is divided by (-4)/(i/440*(-20)/(-8)).
5
Let b be 56/126 - (-8)/(-18). Suppose -j - 5*o + 9*o + 58 = b, -204 = -3*j - 3*o. Calculate the remainder when j is divided by 13.
1
Let l be (-265)/(-15) + (-1)/((-9)/(-6)). Suppose -y + 8 = -b - l, -2*y - 5*b + 29 = 0. What is the remainder when 96 + -9 + (0 - (2 + -1)) is divided by y?
20
Suppose r = 5*f - 11 + 41, 0 = 3*r - f - 48. Suppose 20*q = r*q + 305. Calculate the remainder when q is divided by 34.
27
Let z(i) = i**3 - 26*i**2 - 30*i + 89. Calculate the remainder when 62 is divided by z(27).
6
Let f = -24 + 123. Let k = f - 90. Suppose -k*o + 16*o = 147. Calculate the remainder when o is divided by 8.
5
What is the remainder when 130 is divided by 2/6 + 10032/144?
60
Let h(b) = -7*b**3 - 18*b**2 - 27*b. What is the remainder when 405 is divided by h(-3)?
81
Suppose -5*u + 125 = -2*p - 43, u - 20 = -3*p. Suppose u*t - 37*t + 110 = 0. What is the remainder when -1 + 1*55/1 is divided by t?
10
Suppose 0 = 5*h + c - 123 - 449, -593 = -5*h - 4*c. Calculate the remainder when h is divided by 9.
5
Calculate the remainder when 8 is divided by ((-3)/18)/((-6)/180).
3
Let r(q) = q**3 + 10*q**2 + 19*q + 98. Let o(a) = 2*a + 12. Let k be o(10). Suppose -3*d + k = -d. What is the remainder when d is divided by r(-9)?
0
Suppose 90*r - 96*r = -1842. Suppose -9*s - 1 = -r. What is the remainder when 58 is divided by s?
24
Let f(r) = -r**2 - 6*r - 5. Suppose 17 - 27 = 5*x. Let a be f(x). Suppose 13 - 10 = a*u. Calculate the remainder when u is divided by 1.
0
What is the remainder when 662 is divided by 68 - (-2)/((-8)/44)?
35
Let k(h) = -5*h**2 - 81*h - 136. Calculate the remainder when 286 is divided by k(-14).
16
Suppose -24*i + 130 = -23*i. Let j(n) = 10*n**2 - n. Let d be j(-1). Calculate the remainder when i is divided by -11*(2/(-4))/(d/66).
31
Suppose 148*u + 22*u + 222*u - 11368 = 0. Suppose -33 = 2*o - 5*o. What is the remainder when u is divided by o?
7
Let f(h) = -77*h + 2079. What is the remainder when 2308 is divided by f(26)?
75
Suppose 4799 = 72*u - 2185. Calculate the remainder when 315 is divided by u.
24
Let u = 15 + 33. Let j = u + -42. Let p = j - -15. What is the remainder when 60 is divided by p?
18
Let m = -63 + 33. Let k = 33 + m. Calculate the remainder when 93 is divided by k/(-4) - (-297)/12.
21
Suppose 5*d + 25 = 0, 194*a + 2*d + 58 = 196*a. What is the remainder when 2323 is divided by a?
19
Suppose -21*j + 28205 = 43*j + 3437. What is the remainder when j is divided by 141?
105
Let j = 38 + -27. Let l = -2 + j. Suppose 0 = l*a - 5*a - 28. Calculate the remainder when 16 is divided by a.
2
Let j(n) = 90*n + 1298. Calculate the remainder when j(-9) is divided by 15.
8
Suppose -4*r - 55*r + 7086 = 5375. What is the remainder when (-124)/(-6)*(-9)/(-2) is divided by r?
6
Suppose -286*u - 126 = -328*u. Calculate the remainder when 14/((-2)/8*-2) is divided by u.
1
Suppose 12 = -4*d, -4*l = -4*d - 1 - 15. Suppose -l = -o + 87. Suppose -6*s + 7 = -t - s, -3*s + 15 = 0. Calculate the remainder when o is divided by t.
16
Let l be 9/12 - -5*6/(-40). Suppose l = 33*i - 46*i + 1339. Calculate the remainder when i is divided by 37.
29
Suppose 0 = 50*h - 71664 - 31686. Calculate the remainder when h is divided by 45.
42
Suppose 0*p - 20 = -5*p. Let i be (-1)/p - ((-54)/24 + 0). Suppose -2*z = i*z - 64. Calculate the remainder when 78 is divided by z.
14
Let y = -716 + 718. What is the remainder when 34 is divided by y?
0
Suppose u = -u + 14. Let b(t) = -t**3 - 21*t**2 - 87*t + 286. Calculate the remainder when b(-11) is divided by u.
5
Suppose -9 + 1 = 2*u - 4*h, 3 = -2*u + 3*h. Suppose 11*s - u*s = -4*d + 172, 32 = d + 4*s. Calculate the remainder when 54 is divided by d.
6
Suppose 4*y = w - 1 - 108, 4*w - 462 = 3*y. Suppose -p = -4*p + 18. What is the remainder when w is divided by (5 - p)/(1/(-40))?
37
Let g = 74 - 44. What is the remainder when 52 + (2/(-5) - 552/120) is divided by g?
17
Suppose -12329*m = -12312*m - 14705. What is the remainder when m is divided by 13?
7
Let c(k) = 17*k - 80. Calculate the remainder when c(29) is divided by 111.
80
Let l(w) = 2*w**2 - 10*w - 596. What is the remainder when l(-17) is divided by 26?
22
Let x = 5425 - 5376. Calculate the remainder when 86 is divided by x.
37
Let a = -27054 + 28248. Calculate the remainder when a is divided by 140.
74
What is the remainder when 1103 is divided by (-21)/14 + 38/4 - 0?
7
Let p = 4007 + -3869. What is the remainder when 1372 is divided by p?
130
Let q = -81 - -147. Let g = 439 - 421. What is the remainder when q is divided by g?
12
Let m(x) = -16*x - 8. Let d be m(2). Calculate the remainder when ((-328)/(-10))/((-16)/d) is divided by 14.
12
Suppose n = -5*n - 5*x + 147, 4*n - 2*x = 114. Calculate the remainder when 581 is divided by n.
14
Suppose 3*a + 3*v = 282, -18 = 30*v - 27*v. Calculate the remainder when 909 is divided by a.
9
Let g be 10380/22 - 10/385*-7. Suppose -4*r + 4*k = -g, 5*r - 581 = 4*k - 2*k. Calculate the remainder when r is divided by 20.
15
Let i = -6485 - -6492. What is the remainder when 543 is divided by i?
4
Suppose 8*t - 67 = -3. Suppose 0 = -6*h + t*h - 20. Calculate the remainder when 419 is divided by h.
9
Suppose -3*x = -0*x - 39. Suppose -4*p - 46 = -2*u, -5*p - 120 = 215*u - 220*u. Calculate the remainder when u is divided by x.
12
Suppose -23*k + 61 + 31 = 0. Calculate the remainder when 7 is divided by (-1)/(-10)*40/k.
0
Let l(z) = z + 7. Let n be l(-6). Suppose -o + n + 3 = 0. Suppose -161*t - 6*t + 675 = -494. What is the remainder when t is divided by o?
3
Let h(l) = -39*l - 43. Let y(z) = -z**2 + 13*z + 7. Let d be y(14). Calculate the remainder when h(d) is divided by 7.
6
Let f(p) be the first derivative of -21*p**2/2 + 117*p + 45. Calculate the remainder when f(0) is divided by 8.
5
Let b be 7/((-21)/1068)*(-6)/8. Suppose -19 = 4*j - b. Let i(t) = -t**2 + t + 21. What is the remainder when j is divided by i(0)?
20
Suppose -23 = -5*v - 18, 0 = 3*c - v - 68. What is the remainder when (-5 - 1)*(903/14)/(-3) is divided by c?
14
Suppose 0 = -29*p + 1142 + 2918. Calculate the remainder when 271 is divided by p.
131
What is the remainder when (-45304)/(-98) + 5/((-175)/10) is divided by 78?
72
Let n(p) = 23*p - 39. Let j be n(-3). Calculate the remainder when 26 is divided by (-4 + 33/9)*j/6.
2
What is the remainder when ((-2292)/18)/(-2)*(-1)/(6/(-18)) is divided by 69?
53
Let w be (-6)/(-11) + (-5985)/(-99). Suppose 184 = 5*i + y, -w - 9 = -2*i - 4*y. Suppose -51 = -z + 130. Calculate the remainder when z is divided by i.
33
Suppose 0*w - 3*f + 334 = 5*w, -5*w + 330 = 5*f. Suppose -14*z + 442 - 36 = 0. Suppose 6*v + z - 83 = 0. Calculate the remainder when w is divided by v.
5
Let n = -57017 + 57050. Let m = -196 + 314. Calculate the remainder when m is divided by n.
19
Let s = 79 - 81. Let d be s - ((-16)/10)/(2/5). Suppose 0 = 5*t - d*l - 30, 2*l + 3*l - 1 = 3*t. What is the remainder when t is divided by 6?
2
Let w = -373 + 493. What is the remainder when w is divided by 3?
0
Let c = 6822 - 6418. What is the remainder when c is divided by 50?
4
Let f = 3418 - 3402. What is the remainder when 155 is divided by f?
11
Let q(b) = -b**3 - 27*b**2 - 35*b - 220. Let p(d) = 5*d - 4. Let c(m) = 1. Let w(r) = c(r) + p(r). What is the remainder when w(5) is divided by q(-26)?
8
Let u be (-45)/(-18)*(-36)/30. What is the remainder when 14 + -10 + (-9)/u is divided by 4?
3
Let w(n) = n + 31. Let h(x) = -5*x**3 - 2*x**2 + x - 2. Let m be h(-2). Let s = m - 19. What is the remainder when s is divided by w(-25)?
3
Suppose 10*j - 13*j + 68 = -2*x, 2*j - 41 = -3*x. Calculate the remainder when 545 is divided by j.
17
Let r(u) = 4*u**2 + 35*u - 100. What is the remainder when 43 is divided by r(3)?
2
Let y(c) = -10*c - 333. Let w be y(-32). Calculate the remainder when 104 is divided by w/(91/(-98)) - 8.
2
Let c(t) = 55*t - 297. Let v(n) = -19*n + 99. Let b(q) = 4*c(q) + 11*v(q). What is the remainder when b(12) is divided by 19?
14
Let t(d) = 2*d**3 - 17*d**2 + 12*d - 16. Le