14. Let v be n(14). Let f be 10/4 + (-21)/v. Suppose g - 380 = -5*s - f*g, -2*g - 10 = 0. What is the remainder when s is divided by 23?
10
Let j(h) = -h + 2*h + 32*h**3 + 7*h**2 - 31*h**3. Calculate the remainder when 86 is divided by j(-5).
41
Let j = 226 - 216. Suppose -4*v + 150 = -3*q - 115, v = -5*q - 434. Let u = 110 + q. What is the remainder when u is divided by j?
3
Suppose 108 - 22 = q + 3*j, 4*q + j - 333 = 0. Let o(x) = -x**3 - x**2 + 32*x + 109. Calculate the remainder when q is divided by o(-4).
25
Suppose 0*g - 2*j = 3*g - 4, 2*g - 4 = -j. Let f(x) = x**2 + 9*x - 30. Let c be f(-12). Suppose -59 = -c*i + 25. What is the remainder when i is divided by g?
2
Let t(p) = p**3 - 10*p**2 + 21*p - 23. Suppose 4*y + 4 = b, 4*b + 2*y - 30 = 4*y. Calculate the remainder when 254 is divided by t(b).
16
Let n = -471 + 847. Let k = 112 + -70. Calculate the remainder when n is divided by k.
40
Suppose -5*t - 195 + 570 = -5*s, 0 = 4*t + 2*s - 312. Let a(g) = -g**3 + 5*g**2 + 3*g - 5. What is the remainder when t is divided by a(5)?
7
Let o = -30 + 65. Suppose o*j - 523 = 3327. Calculate the remainder when j is divided by 68.
42
Let t be (28/(-8) - -3)/((-2)/48). Let o be (-1 - 1)/(-6) - (-1100)/t. Suppose -l = -3*l + o. What is the remainder when l is divided by 16?
14
Let o = -297 + 541. Let b = -18531 - -18566. What is the remainder when o is divided by b?
34
Suppose -4 = -b + 8. Suppose -1607 = -50*y - 557. Suppose b = 3*t - y. What is the remainder when 74 is divided by t?
8
Let k = 4172 + -3326. What is the remainder when k is divided by 14?
6
Let j(a) = a**3 - 20*a**2 - 40*a + 64. What is the remainder when j(22) is divided by 68?
16
Suppose -97*b - 752 + 178553 = 0. What is the remainder when b is divided by 131?
130
Let x(h) = -11*h - 128. Suppose -120*a + 30 = -122*a. Calculate the remainder when x(a) is divided by 30.
7
Let r be ((-32)/2 - -3)*-1 - -3. Let i be r/(0 - (-2)/1). Suppose -5*b + 118 = -2*j, 0*j + i = -2*j. What is the remainder when b is divided by 9?
4
Let o = 129 - 126. What is the remainder when (-1 - 21)*o/(48/(-104)) is divided by 21?
17
Let g = -161 - -400. Let r(t) = t**3 - 23*t**2 - 140*t + 48. Calculate the remainder when g is divided by r(28).
47
Let x(j) = -j + 6. Let q be x(8). Suppose -4*k + 80 = -24. Calculate the remainder when k is divided by (q/1 - -3)/(8/24).
2
Let j(r) = -29*r - 10. Suppose m + 0*m + 4*x + 16 = 0, 0 = -5*m - 4*x - 32. Let p(g) = -11*g + 5. What is the remainder when j(m) is divided by p(-2)?
25
Let d(k) = 7*k - 6. Let n be ((-4)/(-3))/((-2)/(-6)). Let q = 2996 - 2956. What is the remainder when q is divided by d(n)?
18
Let i(l) = -34*l**3 - l**2 + 1. Let s be i(-1). Suppose 4*m = -4*h - 16 - 56, s = -3*h + 2*m. Let z = h + 60. Calculate the remainder when z is divided by 16.
14
Suppose -2*r + 2*l = 2*r - 534, -5*r + 670 = -5*l. Let w = 152 - r. Calculate the remainder when 37 is divided by w.
18
Suppose 3*s + 5*r = 78176, 3*s - r = 20202 + 57986. What is the remainder when s is divided by 144?
142
Suppose 4362 = 21*d - 11703. What is the remainder when d is divided by 21?
9
Suppose -4*j = -5*z + 480, 243 = 2*z - 5*j + 34. Calculate the remainder when z is divided by 24.
20
What is the remainder when (-2)/(-7) - (1864634/(-189) - (-58)/783) is divided by 105?
101
Let z(r) = -3*r - 7 + 6 - 4*r + 3. Calculate the remainder when z(-21) is divided by 0 + 7/(28/(-8)) - -24.
17
Suppose -145 - 47 = -4*a. Let w = a + -25. Calculate the remainder when w is divided by (-4)/((6 - (-140)/(-24))*-9 + 1).
7
Suppose -3*c = -41 - 1. Suppose -4*j + 0*j - 16 = 0. Calculate the remainder when (-3174)/(-33) - j/(-22) is divided by c.
12
Let z = 103 - 183. What is the remainder when 201 is divided by 284/16 - 5/(z/(-12))?
14
Let m be 0 - (1 + (-164)/2). Let f = -4114 - -4053. Let r = m + f. What is the remainder when 96 is divided by r?
16
Suppose -10*r + 24912 = 70*r - 23488. Calculate the remainder when r is divided by 201.
2
Suppose -682*n - 25155 = -721*n. Calculate the remainder when n is divided by 25.
20
Suppose -11956 = -74*b + 23046. What is the remainder when 1055 is divided by b?
109
Suppose b + 14 = 2*w + 3*w, 5*b = -3*w - 14. Let g(i) = -83*i + 3249. Calculate the remainder when g(39) is divided by 8 - (w + -1)/1.
5
Let l be (1/(-1))/((-2)/(-70)). Calculate the remainder when (1 + l)/(62/(-403)) is divided by 37.
36
Let f(v) = v**2 - 5. Let x(y) = -y + 69. Suppose 0 = l + 4, -3*l + 15 = b - 0. Calculate the remainder when x(b) is divided by f(4).
9
Let o be 12/3 + (-9 - 2). Calculate the remainder when 1*(o + 169) - (-1 + -3) is divided by 24.
22
Suppose -2071 = -22*c + 3*c. Suppose t = -5*t + 2*f + 122, 0 = -4*t - 2*f + 78. Calculate the remainder when c is divided by t.
9
Suppose 4*v = -8, 375*t = 371*t - 3*v + 270. What is the remainder when 1223 is divided by t?
50
Calculate the remainder when 1676 is divided by ((-644)/6 + -1)*(3534/155 - 24).
116
Suppose -3*z + 121 = -5*r - 81, 3*z - 122 = -5*r. What is the remainder when 821 is divided by z?
11
Suppose 5*c - 9 = 8*c. Let x be 3*(25/(-15) + c). Let v(d) = -d - 8. What is the remainder when v(x) is divided by 2?
0
Let b(r) = -6*r. Suppose 3 = -40*s + 37*s. Let q be b(s). Suppose 0 = -a - 2 + q, 4*x - a = 204. Calculate the remainder when x is divided by 18.
16
Let d(j) = -j**3 + 5*j**2 + 2*j - 10. Let t be d(5). Suppose t = 3*r - 618 - 237. What is the remainder when r is divided by 74?
63
Let p(x) = x**3 + 9*x**2 + 15*x - 9. Let m be p(-7). Let r = m - -25. Let y(k) = k**2 - 8*k + 27. Calculate the remainder when 141 is divided by y(r).
33
Let l(j) = 3 + 1 + 2*j + 6 - 3*j. Let o = -1351 + 1354. What is the remainder when l(6) is divided by o?
1
Suppose -219525 + 62485 = -26*i. Calculate the remainder when i is divided by 65.
60
Let a = -3679 - -3805. Calculate the remainder when a is divided by 12.
6
Suppose 0 = -24*u + 11*u + 689. Let v = 30 + -46. Calculate the remainder when u is divided by (-303)/(-33) - v/(-88).
8
Suppose -4*y - 90 = 14*q - 19*q, 0 = 4*q - 3*y - 71. Suppose -q*p - 330 = -20*p. What is the remainder when p is divided by 12?
7
Let n(w) = 25*w**2 - 67*w - 242. What is the remainder when n(-4) is divided by 69?
12
Suppose 96*x - 198*x + 957 = -91*x. What is the remainder when 929 is divided by x?
59
Suppose l - 5*p = -l + 195, -l - 4*p + 130 = 0. Let z(r) = 11*r. Let b be z(-1). Let f = 8 - b. What is the remainder when l is divided by f?
15
Let d(u) = -2*u**3 - 48*u**2 - 195*u - 13. Calculate the remainder when 180 is divided by d(-4).
53
Suppose 3*u = -5*w + 180, 19*u - 72 = -2*w + 22*u. Suppose w = 67*y - 61*y. What is the remainder when 316 is divided by y?
4
Suppose 4*a - 78*i = -81*i + 2066, -a - 8*i = -560. Calculate the remainder when a is divided by 14.
8
Suppose -2*j + 160 = 4*j - j. Suppose -5*b + 2*f + 66 = 3*f, -3*b + 50 = -2*f. Calculate the remainder when j is divided by b.
4
Let k = 10206 + -10100. What is the remainder when 327 is divided by k?
9
Let r(w) = -2*w**3 - 2*w**2 + 8*w + 21. Calculate the remainder when 3949 is divided by r(-2).
10
Let c be -2 + 349/4 + (-9)/(-12). Let f be 2/8 - c/(-8) - 0. Let u = f - -14. Calculate the remainder when u is divided by 10.
5
Let b(i) = i**3 + 4*i**2 - 7*i + 2. Let p(k) = 2*k + 12. Let r be p(-8). What is the remainder when (-3 + 4)/(r/(-372)) is divided by b(-5)?
9
Let m(f) = 8*f - 10. Let o be m(4). Suppose 74 = 4*y - o. Calculate the remainder when 46 is divided by y.
22
Let l(z) = -z**2 + 10*z + 5. Let m be l(10). Suppose m*k + 8 = 3*k. Let t(c) = c**3 + 6*c**2 + c - 7. What is the remainder when t(k) is divided by 5?
1
Suppose -669 = -5*d + 5*c + 56, 0 = 3*c - 18. What is the remainder when 311 is divided by d?
9
Suppose -284 + 2127 = 19*u. Calculate the remainder when u is divided by 49.
48
Suppose 28 = -17*k + 15*k. Let a = 584 + -1038. Calculate the remainder when a/k - 24/(-42) is divided by 6.
3
Let b(m) be the first derivative of -10/3*m**3 - 9*m + 6*m**2 + 6 + 1/4*m**4. What is the remainder when 66 is divided by b(9)?
12
Let r be (-7)/28 - 2487/(-12). Suppose -10*w + 19*w - r = 0. Suppose -3*p - h = -194, 6*p - 8*p = 5*h - 138. What is the remainder when p is divided by w?
18
Let i(z) = z**3 + 7*z**2 + 6*z + 11. What is the remainder when 27 i