 - 27*g - 175. Calculate the remainder when p(-32) is divided by 23.
13
Let y be (27/36)/(6/16). Let p(s) = 9*s**3 - 7*s**2 + 7*s + 4. What is the remainder when p(y) is divided by 14?
6
Suppose -18*n - 462 = -24*n. Calculate the remainder when n is divided by (-1 - 2/(-6)) + 92/3.
17
Suppose -8*w = -4 + 52. Let h = w + 8. Suppose 23 = -h*r + 39. What is the remainder when 9 is divided by r?
1
Let w(x) = -2*x**2 - 17*x + 13. Let q be w(-9). Suppose 2*c - 5*m = 7*c - 2000, q*c + 2*m = 1608. What is the remainder when c is divided by 58?
56
Let i(s) = 319*s**2 - 222*s - 679. What is the remainder when i(-3) is divided by 6?
2
Suppose 44*u - 2370 = 358. Calculate the remainder when 118 is divided by u.
56
Let i(x) = -2*x - 51. Let s(u) = 2*u. Let v(k) = -3*i(k) + 3*s(k). Calculate the remainder when 190 is divided by v(-10).
25
Let b(c) = 2*c + 65. Let d be 4/(-12)*1 - 5/(-15). What is the remainder when b(d) is divided by 3?
2
Let w(b) = -2*b**3 + 38*b**2 - 30*b - 174. Calculate the remainder when w(17) is divided by 101.
68
Let y = 84 - -101. Suppose 0 = 180*j - y*j + 235. Suppose -20 = -0*z - 2*z. What is the remainder when j is divided by z?
7
Let m = 69 - 32. Let i = 149 - 135. What is the remainder when m is divided by i*(-51)/(-54) + 34/(-153)?
11
Suppose -1180 = -22*c + 17*c - 5*g, -2*c + 476 = -2*g. Suppose 5*i = c + 563. Calculate the remainder when i is divided by 23.
22
Let v(o) = 5*o**2 + 25 + 8*o**2 - 24*o**2 - 47*o + 8*o**2. Calculate the remainder when 67 is divided by v(-16).
4
Let z(q) = -2*q - 37. Let o be z(-20). Suppose -o*r - 4*n - 28 = 0, -3*n - 10 - 18 = 4*r. Let p(s) = -s + 8. Calculate the remainder when p(r) is divided by 3.
0
Let d = 32295 - 32099. Suppose 0 = -4*l + 3*v + 157, 5*v + 91 - 16 = 2*l. What is the remainder when d is divided by l?
36
Suppose -5*m = 5*u - 197 + 42, 5*u + m - 175 = 0. Let f = u + -32. Suppose -41 = -5*x - f*g, g + 1 = -3*x + 5*g. What is the remainder when x is divided by 5?
0
Calculate the remainder when (-4)/(-3) - 23296/(-96) is divided by 10.
4
Suppose -51*w + 17190 = -9840. Calculate the remainder when w is divided by 118.
58
Suppose 164 + 273 = 19*t + 4*t. Calculate the remainder when 7276 is divided by t.
18
Let o = -609 - -700. Suppose -4*q = z - o, -2*q + 11*z = 13*z - 44. What is the remainder when 90 is divided by q?
21
Let k(o) = o**2 - 19*o + 5. Let b be k(18). Let u(g) = -7*g - 68. Calculate the remainder when 183 is divided by u(b).
22
Let w = -167 - -336. Let j = w + -148. What is the remainder when 76 is divided by j?
13
Let i(q) = -13*q**2 + 8*q - 4. Let a(t) = 3*t**2 - 2*t + 1. Let k(f) = 9*a(f) + 2*i(f). Let x = -330 - -336. What is the remainder when 72 is divided by k(x)?
22
Let t(n) = 5*n + 47. Let k = -215 - -208. Calculate the remainder when 23 is divided by t(k).
11
Suppose 0 = -425*f + 34052 - 10252. Calculate the remainder when f is divided by ((-6)/4)/((-3)/56).
0
What is the remainder when 372 is divided by (-10824)/(-369)*((-9)/(-2) - 0)?
108
Let c = -4149 + 4188. What is the remainder when 1595 is divided by c?
35
Let a(h) = h**3 + 6*h**2 + 3*h + 6. Suppose -54503 = 14*u - 106*u + 21765. Calculate the remainder when u is divided by a(-5).
13
Let v(a) = a**3 - 31*a**2 + 54*a + 174. What is the remainder when 101 is divided by v(29)?
43
Let y(t) = 3*t**2 + 2*t - 1. Let v be y(1). Suppose 0 = -5*k + 15, 2 = n - v*k - 3. Calculate the remainder when n is divided by (1 - 0/(-1))*(-255)/(-51).
2
Let o = 6873 - 6769. What is the remainder when 286 is divided by o?
78
Suppose -120 = 3*q - 4*q. What is the remainder when q is divided by 12/90*1590/20 + (-4)/(-10)?
10
Let i(o) = -5*o**3 - 13*o**2 - 42*o - 8. Calculate the remainder when i(-4) is divided by 45.
2
Let c = -1414 - -1451. Suppose 12*z = c*z - 1500. Calculate the remainder when (-2)/(4/(-94))*5 is divided by z.
55
Suppose 5*f - 110 - 492 = -3*p, 0 = 4*f - 4*p - 456. Let w = -155315 + 155353. Calculate the remainder when f is divided by w.
4
Suppose 3*k - 2*b = 170, k + 4*b = 2*k - 40. What is the remainder when 230 is divided by (-15)/k - 618/(-8) - -1?
74
Let d = -34 - -244. Suppose 34*m - d = 39*m. Calculate the remainder when 19 is divided by (28/(-12) - -3)*m/(-4).
5
What is the remainder when -5 + (8 + 1737 - -6) is divided by 14?
10
Suppose -2*a - 633 = -q - 101, q - 4*a = 524. Let i = -389 + q. What is the remainder when i is divided by 31?
27
Suppose 75*s - 73*s + 3*j - 35 = 0, 85 = 4*s + 3*j. Calculate the remainder when s is divided by 5.
0
Suppose 3*t = -6, -4*t - 813 + 1589 = 4*k. What is the remainder when 1362 is divided by k?
186
Let o = -14173 - -15263. What is the remainder when o is divided by 107?
20
Let i be (-110)/(-9) - (-6)/(-27). Let u = 1 + i. Calculate the remainder when u is divided by (-7)/2 - (-1)/(-2) - -9.
3
Let s(y) = -y**3 + y**2 + 11*y + 16. Calculate the remainder when 7055 is divided by s(0).
15
Let x(b) = -b**2 - 12*b + 116. What is the remainder when 17 is divided by x(-18)?
1
Suppose -3*j + 51 = 2*k - 14, -k + 38 = -4*j. Let p be 1/1 - (0 - 0). Suppose 0 = -z - p + 8. What is the remainder when k is divided by z?
6
Let i = 0 + 0. Let y(t) = -713*t - 5656. What is the remainder when y(-8) is divided by 11 - (i + 3 + -2)?
8
Suppose -5*f - u + 1771 = 0, -4*f + 3*f + 351 = u. What is the remainder when f is divided by 44?
3
Suppose -n - 4 = 0, -3*n = -5*v + 11 - 9. What is the remainder when 45/(-60)*(-284)/(-6)*v is divided by 25?
21
Let b = -6 + 2. Let m be ((-18)/b)/(6/8). Calculate the remainder when (564/(-18)*m/(-4))/1 is divided by 18.
11
Let d = -127 + -225. Let k = -335 - d. Calculate the remainder when 44 is divided by k.
10
Let z(k) = -k**2 - k + 14. Let i = -121 + 117. Let f be z(i). Suppose -41 - 97 = -f*y. Calculate the remainder when y is divided by 36.
33
Let k(h) = 65*h**2 + 23*h - 28. Let n(r) = 64*r**2 + 23*r - 27. Let x(m) = -5*k(m) + 6*n(m). What is the remainder when x(1) is divided by 11?
5
Suppose -70*k + 23499 = 5*y - 67*k, 23511 = 5*y - 3*k. Calculate the remainder when y is divided by 24.
21
Let i(a) = -1209*a - 384. Calculate the remainder when i(-9) is divided by 30.
27
Suppose 0 - 5 = -d. Suppose 2*z - 137 - 16 = 5*f, 4*z = 3*f + 327. Suppose 43*y + z = 49*y. Calculate the remainder when y is divided by d.
4
Let s(l) = -l**3 - l. Let b(v) = -3*v**3 - 18*v**2 + 12. Let k(t) = -b(t) + 2*s(t). What is the remainder when k(-18) is divided by (182/8)/(-7)*-4?
11
Let u(c) = -3*c**2 + 7*c + 46. Let l(s) = 5*s**2 - 14*s - 89. Let y(x) = -4*l(x) - 7*u(x). What is the remainder when 114 is divided by y(-7)?
12
Suppose 1166 = 54*c - 616. Calculate the remainder when 78 is divided by c.
12
Suppose 0*z + 5*z = 25. Suppose 17 = i - q, 0 = 4*i + 2*q - q - 43. Let n(f) = -f**3 + 14*f**2 - 21*f - 17. Calculate the remainder when n(i) is divided by z.
4
Let f = 1 - -4. Suppose f*q - 1359 = -2*z, q - 267 = -4*z + 2*z. Suppose 3 = -s, q = 3*v + s + 3*s. What is the remainder when v is divided by 14?
11
Let n be ((-2 + 3)/2)/1*0. Let j be 45/12*(n + (-80)/(-6)). Let o = -44 + j. What is the remainder when 10 is divided by o?
4
Let b(k) = -2*k**2 + 26*k + 17. Let w(m) = m**2 + 1. Let f(h) = -b(h) - w(h). Let l be f(26). Let i = l + 34. Calculate the remainder when 95 is divided by i.
15
Let o = -211 - -65. Let v = o + 150. Suppose 2*h + z = 139 + 156, -v*z = 5*h - 742. What is the remainder when h is divided by 49?
48
Let i be 3*(-303)/18*1*-2. Suppose -110 = -i*z + 99*z. What is the remainder when z is divided by 9?
1
Let k be 8/(-20) - 501/(-15). Let b be (-10)/(-6)*k/11. Suppose -3*i + 4*j = -54, 0*j - 2*j - 104 = -b*i. What is the remainder when i is divided by 4?
2
Suppose -3*f + 2*f = 150. Let h be (2/7 - f/(-35))*-1. Suppose 7*b - 203 = h*b + 2*x, 0 = b - 2*x - 73. What is the remainder when b is divided by 23?
19
Suppose -4*s - s - 3*q = -59, 0 = 3*q + 6. Suppose -3*r - 1250 + 1547 = 0. Calculate the remainder when r is divided by s.
8
Suppose -10*i = 1178 + 4072. Let v = i + 547. Calculate the remainder when v is divided by 13.
9
Let x(m) = -54*m - 1601. What is the remainder when 4482 is divided by x(-30)?
17
Let r(a) = 2*a**2 + 3*a - 11. Let l be r(-4). Suppose -3*o - k + 651 = -o, 3*k + l = 0. What is the remainder when o is divided by 30?
27
Let n(