 3. Let h be t(p). Suppose 0 = 3*y + h, 2*z - 5*y + y = 58. Calculate the remainder when 106 is divided by z.
25
Let b(z) = 37*z + 4. Let p be b(1). Suppose -i - p = 4*i - 4*d, 2*i + 18 = 2*d. What is the remainder when (0 - (9 + -21))*i/(-3) is divided by 12?
8
Suppose -9553 - 16947 = -122*n - 1856. Calculate the remainder when 662 is divided by n.
56
Suppose 19*q - 144 = -30*q + 40*q. What is the remainder when 380 is divided by q?
12
Suppose 206 = 1094*r - 1089*r + 3*p, p + 104 = 3*r. Calculate the remainder when r is divided by 2.
1
Suppose 22 = 4*b + 14. Let x(k) = -3*k**2 - 15*k - 2 + 0 - 10 + 5*k**b. Calculate the remainder when 57 is divided by x(9).
12
Let g(y) = y**2 + 15*y - 7. Let f be g(-20). Let h be f/4 - 4/16. Let a = -13 + h. Calculate the remainder when 28 is divided by a.
8
Suppose 20*p - 2291 - 2069 = 0. Calculate the remainder when p is divided by 198.
20
Let g(z) = 217*z + 3724. What is the remainder when 87 is divided by g(-17)?
17
Let q = -20516 + 20562. Calculate the remainder when 3045 is divided by q.
9
Suppose 0 = 2*o - 3*l - 312, 31*o - 52*o - 4*l = -3205. What is the remainder when 2914 is divided by o?
7
Let f = 1788 + -1130. What is the remainder when 1320 is divided by f?
4
Let r(y) = 119*y - 4901. What is the remainder when 823 is divided by r(43)?
175
Let r(p) = -3*p + 7. Suppose -d + 71 = 2*o, -6*o - 78 = -d - o. What is the remainder when d is divided by r(-7)?
17
Suppose 2*v - 92 = -0*v. Let r = 43 - v. What is the remainder when 3 - (0 - (r + 5)) is divided by 5?
0
Let v(t) = -923*t - 8476. Calculate the remainder when v(-11) is divided by 312.
117
Let b = 2414 - 239. Calculate the remainder when b is divided by 34.
33
Suppose -8*t + 9*t + 2*g = 15, 3*t = -g + 25. Suppose -2*c + 711 = t*c. Calculate the remainder when c is divided by 9.
7
Suppose 10*m - 18 = 8*m + 4*l, 0 = 2*m + 4*l + 22. Calculate the remainder when 70 is divided by (m + 6)*76/10.
32
Suppose 3*w - 4*d = 18, 2*w - 15 = 3*d - 2. Suppose -5 + 49 = w*u. What is the remainder when u/((-4)/(-48)*3) is divided by 30?
28
Suppose 5*l - 52 = -22. Suppose 3400 = l*r + 14*r. Let x = r + -63. What is the remainder when x is divided by 10?
7
Let u(k) = -k - 9. Let m be u(-14). Suppose 4*c = -0*w - m*w + 98, -2*c + 38 = 2*w. What is the remainder when w is divided by 13?
9
Let d(h) = -2*h + 4. Let a be d(1). Suppose 2*n = -3*c + 76, -5*c = -4*c - a*n - 12. What is the remainder when c is divided by 3?
1
Suppose 22 = 11*l - 0*l. Suppose l*y + 11 = -21. Let x = 3 - y. What is the remainder when x is divided by 13?
6
Let u = -1019 - -1021. Suppose 0 = 4*b - u - 10, -153 = -4*d + b. Calculate the remainder when 75 - ((-2)/1 + 1) is divided by d.
37
Suppose 0 = 3*q + 49*s - 45*s + 3, 9 = -q - 4*s. Let r(p) = 8 + 3*p**2 - 4*p + p**2 - 2*p**2. What is the remainder when 54 is divided by r(q)?
12
Let q(f) = 8 + 22 + f + 27 - 6. What is the remainder when 56 is divided by q(-22)?
27
Suppose -p = -4*t - 0*p + 181, t + 3*p = 55. Let v = t + -80. Let g = v - -49. Calculate the remainder when 162 is divided by g.
12
Let k(j) be the second derivative of j**5/10 - j**4/12 + j**3/3 - 3*j**2/2 + j. Calculate the remainder when 51 is divided by k(2).
12
Suppose 27*l = 6*l + 420. Let y = l + 4. Calculate the remainder when 190 is divided by y.
22
Suppose -305*h + 426978 = 219*h - 224354. Calculate the remainder when h is divided by 71.
36
Let x(v) = v**3 + 18*v**2 - 14*v - 4. Let p = 897 - 914. What is the remainder when x(p) is divided by 16?
11
Let j(h) = -5*h - h**2 + 93 - 2*h + 0*h + 21 - 14. Calculate the remainder when 151 is divided by j(-13).
19
Let i(p) = 196*p**3 - 258*p**2 + 512*p - 1. Calculate the remainder when 3131 is divided by i(2).
13
Suppose -886*r + 889*r - j - 429 = 0, 4*r - 4*j = 580. Calculate the remainder when r is divided by 59.
24
Let t(s) = 129*s - 179. Let o(p) = -43*p + 60. Let m(w) = 7*o(w) + 2*t(w). What is the remainder when m(-8) is divided by 68?
66
Let z(c) = -9*c**2 - 877*c - 260. Calculate the remainder when z(-97) is divided by 20.
8
Let f = 8 - 31. Let n(u) = -u - 19. Calculate the remainder when 103 is divided by n(f).
3
Let n(j) = -j**3 + 26*j**2 + 59*j + 84. What is the remainder when n(28) is divided by 89?
79
Let p = 45 - 20. Let j be -3*(-5)/15*4 + -3. What is the remainder when ((-4)/8)/(j*3/(-252)) is divided by p?
17
Suppose 3*z + 3*n = 693, -2*n = 5*z + 51 - 1206. Calculate the remainder when z is divided by 82.
67
What is the remainder when 739 is divided by (-42)/(-9) + -4 - 10*145/(-30)?
4
What is the remainder when 426 is divided by ((-44)/(-60) + 188/705)*(44 - 1)?
39
Let n(y) = 31*y - 1946. Calculate the remainder when n(78) is divided by 37.
28
Suppose 0 = 7*x - 6 - 22. What is the remainder when x - (22/231 - (-4811)/(-21)) is divided by 78?
77
Suppose -70*b = -104*b + 34714. What is the remainder when b is divided by 205?
201
Suppose -4*a + 103 = -1. Suppose a = 3*v + o, -4*o + 2*o + 43 = 5*v. Let d = -9 - -41. What is the remainder when d is divided by v?
5
Let p(k) = 3*k**3 - k**2 + 11*k - 58. What is the remainder when 236 is divided by p(3)?
1
Suppose -q - 37*t + 94 = -36*t, t = 2*q - 191. Suppose -p - 4*p = -q. What is the remainder when 284 is divided by p?
18
Suppose -41*f = 22482 - 22728. Calculate the remainder when 5925 is divided by f.
3
Suppose -5*a = -5*v - 107470, -4*v + 81 = 93. What is the remainder when a is divided by 22?
19
Suppose -4*v + 0*v + 11 = 3*i, -5*v - 11 = i. What is the remainder when 183 is divided by 192/(-2)*(i + (-392)/42)?
23
Let j(x) = 58*x + 3225. Calculate the remainder when j(-35) is divided by 40.
35
Suppose -35*n = -31*n - 20. Suppose n*o + 454 = 3*v, 3*v + 3*o = v + 328. What is the remainder when v is divided by 41?
35
Let d(c) = c**3 + 75*c**2 - 76*c + 142. Calculate the remainder when 502 is divided by d(-76).
76
Let a(f) = 2*f**2 - 3*f - 2 + 0 - f + 0*f**2 + 30. Let w = -5 - -43. What is the remainder when a(11) is divided by w?
36
Calculate the remainder when 511 is divided by ((-24)/(-16))/(48/4160).
121
Let h be (0 - 0)/(-4 - -3). Suppose -l = -4, 3*y - 140 = -h*y - 2*l. Let t(k) = 3*k**2 + 77*k - 2. What is the remainder when y is divided by t(-26)?
20
Let m = -27 - -27. Suppose m = -6*b + b + 3*t - 139, 133 = -5*b + t. Calculate the remainder when (-472)/b + (-8)/52 is divided by 4.
2
Suppose 77 = 3*c - 127. Let t(k) = -11*k - 31. Let z be t(-13). Suppose 2*r - 3*s - 43 = -2*s, z = 5*r - s. What is the remainder when c is divided by r?
22
Let b(s) = -11 - 4*s**2 - 2*s**3 + 12*s - 9*s + 2. Let j be b(-4). Let a = j + -14. What is the remainder when 55 is divided by a?
26
Let s = 8525 - 7619. Calculate the remainder when s is divided by 228.
222
Let h(m) = -2*m**3 + 4*m**2 + 9*m + 21. Let t = -43 + 19. Calculate the remainder when h(-5) is divided by (-978)/t - 3/(-12).
39
Let p(d) = -d**2 - 5*d + 30. Let y be p(-7). Let t be (-6)/((-12)/y*1) + 0. Suppose -t*k + 23 - 7 = 0. Calculate the remainder when 11 is divided by k.
1
Let x(g) = -g**3 - g**2 - g + 64. Let q be x(0). Let l = -50 + q. Calculate the remainder when 19 is divided by l.
5
Suppose -72*t + 5901 + 3387 = 0. Calculate the remainder when 628 is divided by t.
112
Calculate the remainder when 104 is divided by 4/18 + (-975)/135 + 22.
14
Let p = -33 - -37. Let s(q) = 7*q**2 - 14*q - 4. Let a = 28 + -17. Calculate the remainder when s(p) is divided by a.
8
Suppose 0*a = 3*a - z - 931, 0 = -a + 3*z + 297. Suppose r + a = 14*r. What is the remainder when 262 is divided by r?
22
Let j = 6371 - 6366. What is the remainder when 2027 is divided by j?
2
Let g(v) = -90*v**2 - 5*v - 2. Let d(x) = 92*x**2 + 3*x + 3. Let i(s) = -5*d(s) - 6*g(s). What is the remainder when i(1) is divided by 48?
44
Suppose 22*h - 18*h - 16 = 0. Calculate the remainder when 76 is divided by 51/h + (-32)/(-128).
11
Let i(f) = f**3 + 22*f**2 + 96*f + 551. Calculate the remainder when i(-15) is divided by 86.
84
Let c(t) = -151*t**3 - 3*t**2 - 68*t - 135. Calculate the remainder when c(-2) is divided by 296.
13
Let v(p) = -3*p**2 + 227*p - 470. What is the remainder when v(68) is divided by 92?
82
Suppose -9*q + 4*q - 389 = -2*f, -5*f + 3*q = -963. Suppose -180 = -9*z + 3*z. Suppose 36*g = z*g + f. What is the remainder when g is divi