ivided by 18.
4
Let a(r) = 47*r + 218. Suppose 370 = 3*i + 5*y, -205 = -2*i - 7*y + 12*y. What is the remainder when i is divided by a(-4)?
25
Suppose -654851 = -3*d - 19*d - 92597. What is the remainder when d is divided by 213?
210
Suppose 4*p + 48*m = 45*m + 465, 0 = -2*p + 4*m + 238. What is the remainder when p is divided by (-2)/6 - (-121)/3?
37
Let d(p) = 2*p**2 + 36*p + 120. Let n be d(-4). What is the remainder when (-1)/4 + 8939/28 + n is divided by 111?
105
Let m be 11 + (120/(-50) - 3/5). What is the remainder when (7 - m)*(-1754)/4*2 is divided by 80?
77
Let j = 101 + -56. Suppose 0 = 67*q + 3500 - 30501. What is the remainder when q is divided by j?
43
Suppose 4377*t = 2*a + 4380*t - 8599, 5*t = -a + 4275. What is the remainder when a is divided by 56?
54
Suppose 2*z + 5*d + 2 - 9 = 0, 4*z + d = 59. Suppose z = -6*k + 550. What is the remainder when k is divided by 15?
14
Let d = 15990 + -15904. What is the remainder when d is divided by 24?
14
Let d = 7146 - 7144. What is the remainder when 578 is divided by d?
0
Suppose -6 - 3 = -3*k. Suppose h - 5*h - k*y = 4, 0 = -h + 2*y + 10. Suppose -h*q = -12*q + 270. Calculate the remainder when 104 is divided by q.
23
Let n = -138879 + 138899. Calculate the remainder when 1*5*(1 - -18) is divided by n.
15
Let b = -107 + 78. Let d(p) = -p**2 - 28*p + 65. Calculate the remainder when 174 is divided by d(b).
30
Suppose -2*d - 6 = 0, 2*v + 4*d + 37 = 11. Let f(b) = 226*b - 3 + 226*b - 454*b. Calculate the remainder when 41 is divided by f(v).
8
Let g(a) = a**2 - 39 - 43 + 95 + 17*a. Let h be g(-17). Let k = 21 - h. Calculate the remainder when k is divided by 3.
2
Suppose 6*w + 50 = 11*w. Suppose 0 = 5*p, -5*p + 201 + 141 = 3*j. Let z = j + -75. Calculate the remainder when z is divided by w.
9
Suppose 211*d - 207*d = -4*f + 1660, -5*f - 403 = -d. Suppose 0 = 6*g - 4*g - 20. Suppose -367 - d = -g*t. What is the remainder when t is divided by 29?
20
Suppose 0 = -0*t + 7*t + 49. Let v(a) = -a**3 - 4*a**2 + 12*a - 10. What is the remainder when v(t) is divided by 11?
9
Suppose 16*h = 20*h + 2*t - 6, 0 = -5*h + t + 25. Suppose g - 15 = -2*q + 241, 0 = -3*q + h*g + 362. Calculate the remainder when q is divided by 16.
14
Suppose 16*l = -j + 11*l + 456, 2160 = 5*j - 5*l. What is the remainder when j is divided by 5?
1
Suppose -2*p + 320 = 3*p. Let d(c) be the first derivative of -c**4/4 - c**3/3 + 12*c**2 - 14*c + 160. Calculate the remainder when p is divided by d(-6).
20
Suppose 5*a + 34 = -31. Let u = a + 38. Suppose -98 + 4 = -2*t. Calculate the remainder when t is divided by u.
22
Let n(v) = -v**3 - 11*v**2 - v - 46. Let l be n(-12). What is the remainder when 20 is divided by l/(-220)*22/(1/(-1))?
9
Let u(i) = -i**2 + 39*i + 784. Calculate the remainder when 664 is divided by u(-12).
148
Suppose -153*h + 3277 = -40*h. Suppose -3*x + 255 = 5*t, -x + 0*x + 85 = -5*t. Calculate the remainder when x is divided by h.
27
Suppose 4*u - 124 = -2*j - 62, j + 3*u - 27 = 0. What is the remainder when 225 is divided by j?
30
Suppose 6*n = 4*q + 3*n - 216, 4*q = -n + 216. Suppose -u - 2 = -93. What is the remainder when u is divided by (23/2 - 2)/(27/q)?
15
Let f(y) = -y**3 - 74*y**2 - 364*y - 144. Calculate the remainder when f(-69) is divided by 69.
63
Suppose -5*r + 11*c - 7*c + 339 = 0, -264 = -4*r - 4*c. Let u be 2/(4/18 + 0). Suppose 4*h + 85 = u*h. What is the remainder when r is divided by h?
16
Suppose -4*q = -2*u - 12, 3*q = -9*u + 11*u + 7. Let s be (-6)/(-4)*(1 + 1). Calculate the remainder when 47 is divided by 18 - (s - 4/u).
15
Let z = 29 - 20. Let g = z + 2. Suppose -w + g = -0*r - 3*r, -77 = -3*w - 2*r. Calculate the remainder when w is divided by 13.
10
Let x(b) = 4*b**2 - 14*b + 38. Let t be x(6). Suppose 104*n - t*n = 162. What is the remainder when 48 is divided by n?
21
Let v(r) = 6*r**3 - 7*r**2 + 4*r - 6. Let k(u) = -u**3 + 3*u**2 + 2. Let x be k(3). Calculate the remainder when 214 is divided by v(x).
16
Let b(s) = 47*s**3 + 3*s**2 + 5*s - 1. Let n(z) = z**3 + z**2 + 2*z - 1. Let j(r) = b(r) - 3*n(r). Calculate the remainder when j(1) is divided by 25.
20
Calculate the remainder when 7137 is divided by -1*(-22)/(-33) - 730/(-6).
119
Let m be (-1 - -6) + 5 + -69. Let j = 115 + m. What is the remainder when j is divided by 22?
12
Suppose -5 = m - 0, m + 20 = 5*z. Suppose 4*l - 5*l = w - 11, -42 = -2*w + 3*l. What is the remainder when w is divided by z?
0
Let v = -674 - -675. Calculate the remainder when 31 is divided by (9 - 4/(-1)) + (v - 6).
7
Let o(m) = -m**3 - 5*m + 185. Let a be 152 - ((-18)/3)/(-2). Suppose -b = -3*j + a - 3, 2*j - 2*b - 104 = 0. What is the remainder when o(0) is divided by j?
44
Let t = 1466 - 1439. What is the remainder when 782 is divided by t?
26
Let v = 4383 - 3196. Calculate the remainder when v is divided by 196.
11
Let a(m) = 11*m**2 + 20*m - 88. Calculate the remainder when a(4) is divided by 29.
23
Suppose -3*l = -54 - 6. Suppose 3*u + 4*o = 36, -u + l + 3 = 5*o. What is the remainder when 10 is divided by u?
2
Calculate the remainder when 544/128*(10 + 2) is divided by 12.
3
Let y(o) = -3*o**2 + 277*o - 996. Let b(f) = f**2 + 2*f + 5. What is the remainder when y(4) is divided by b(-4)?
12
Let b(w) = 3*w**2 + 2*w + 21. Let a be b(0). Suppose a - 5 = 2*y. Suppose 13 = y*o - 179. What is the remainder when 92 is divided by o?
20
Suppose v - 15 = -4*v. Suppose -v*c + 90 + 66 = 0. Calculate the remainder when (412/6)/(3/9) is divided by c.
50
Suppose -160*n = -154*n - 6420. Let g = n + -899. Calculate the remainder when g is divided by 58.
55
Let q = -2696 + 2852. What is the remainder when 650 is divided by q?
26
What is the remainder when ((4422/8)/3)/((-5)/(380/(-19))) is divided by 19?
15
Suppose -26*y + 1532 = 61*y - 3079. What is the remainder when (3 - 1)/1 - -102 is divided by y?
51
Let x(a) = -a**2 + 2*a + 82. Let c be x(10). What is the remainder when -2 - 10/c - -227 is divided by 15?
10
Let c be 4/(0 + -2 + 4). Suppose c*b + 44 + 8 = -5*k, -k - 26 = b. Let p = b + 42. What is the remainder when 79 is divided by p?
15
Let a = 54 - 16. Suppose -7*w + 150 + 179 = 0. Suppose w*z + 50 = 52*z. Calculate the remainder when a is divided by z.
8
Let x = 1418 + -1399. Calculate the remainder when 1936 is divided by x.
17
Suppose 4*m = -5*z - 0*m + 772, z + m - 155 = 0. What is the remainder when z is divided by 20?
12
Let x = -3229 - -3286. What is the remainder when x is divided by -7 - -3 - -6 - -34?
21
Suppose -10*j + 4*x + 3360 = -14*j, 3*j + 5*x + 2514 = 0. Let y = 1272 + j. What is the remainder when y is divided by 54?
51
Suppose 3*u - 3 = 5*l, 5*l + 4 = -4*u - 27. Let h(v) = -62*v + 180. Calculate the remainder when h(u) is divided by 24.
20
Suppose -2*s + 562 = 254. Suppose -s = 33*x - 40*x. What is the remainder when 35 is divided by x?
13
What is the remainder when 125 is divided by 186/10 - 651/(-465)?
5
Suppose 4*l + 38 + 34 = 3*i, -4*i + 96 = l. What is the remainder when 77 is divided by (-81 + i)/((-3)/2)?
1
Let a(w) = -4*w**2 + 199*w - 2068. Let p(i) = i**3 + 6*i**2 - 3. Let g be p(-6). What is the remainder when (0 + -3)/(g/99) is divided by a(15)?
14
Let x = -77 - -72. Calculate the remainder when (-10)/4*132/(-15) is divided by (x - (-10 + -2)) + -2.
2
Let h(c) = 73*c**3 + 2*c**2 + 2*c - 4. Let f = 1312 + -953. What is the remainder when f is divided by h(1)?
67
Let b = 11081 + -10888. What is the remainder when b is divided by 162?
31
Suppose -5*i + 23*r + 186 = 0, 3*i = -7*r + 9*r + 147. What is the remainder when 102/(2/2) + -1 is divided by i?
50
Suppose 2*r = 15 + 1. Suppose 445 = 8*k - 9*k. Let n = 458 + k. Calculate the remainder when n is divided by r.
5
Let m = 20 - 14. Suppose -m*o = -6 + 72. What is the remainder when o/(693/(-14)) - 691/(-9) is divided by 10?
7
Suppose 3*a - 3*h + 229 = -2*h, -410 = 5*a + 4*h. Suppose 6*r = -22*r - 64*r - 6992. Let b = r - a. What is the remainder when 11 is divided by b?
1
Let l(t) = 10*t - 160. Let o be l(16). Suppose -4*y + 3*j + 405 = o, -262 - 151 = -4*y - 5*j. What is the remainder when y is divided by 21?
18
Let x be (-11)/(165/(-5))*0. Let w = 48 + 231. Suppose x = -9*n + 225 + w. Calculate the remainder when n is divided by 21.
14
Let j(k) = k**3 + 8*k**2 - 82*k + 7. C