ivided by 32.
0
Let v(m) = 22*m - 471. Calculate the remainder when 263 is divided by v(25).
26
Let b(x) = 68 + 35 - 29 - 8*x. Let k be b(9). Suppose 5*n + 77 = 2*q, -n + k*n = 4*q - 109. Calculate the remainder when q is divided by 7.
5
Let z = -37 + 39. Let x(g) = -7*g**2 + 4*g + 2. Let f be x(z). Calculate the remainder when 35 is divided by (f/1)/((-3 + -1)/2).
8
What is the remainder when 762 is divided by ((-580)/(-232))/((-2)/(-12))?
12
Suppose 2*p + 0*d + 5*d = 47, -5*d = -4*p + 109. Let n(g) = 3*g + 400. Let x be n(-30). Let c = x + -301. Calculate the remainder when p is divided by c.
8
Let x(r) = -581*r - 2202. What is the remainder when 458 is divided by x(-4)?
92
Suppose 9*z = 39*z + 30. Calculate the remainder when 327 is divided by (164/8)/(z/(-2)).
40
Suppose -23*x = -31428 + 4610. Suppose 4*r = -2*j + x + 150, -5*r - 4*j + 1645 = 0. What is the remainder when r is divided by 84?
77
Suppose -3*r + 57 = 3*w, 5*r + 0*r = -3*w + 89. Let u(m) = -m**3 + m - 1. Calculate the remainder when u(-2) is divided by (r/10)/(22/55).
1
Suppose -12 = 51*k - 55*k. Calculate the remainder when (-442)/39*k/(-1) is divided by 10 + 4/(-2) + -1.
6
Suppose 0*l = -4*l + 12, -3*l + 4719 = -3*c. Let x be (-5)/30 + c/12. Let i = x - -184. Calculate the remainder when i is divided by 9.
8
Let z(a) = 4*a**2 - 12*a + 17. Let m be z(7). Suppose 3*h = 3*b + m, 0 = -2*b + 2. What is the remainder when 175 is divided by h?
43
Suppose 2*a = -28*o + 32*o + 416, 3*a = -2*o + 640. What is the remainder when 521 is divided by a?
97
Let x be ((140/(-6))/(-5))/((-40)/(-180)). Let b(q) = q + 7. Calculate the remainder when x*(3/5 - (-88)/(-280)) is divided by b(-6).
0
Let w(a) = 3*a**3 + 2*a**2 - a - 2. Let l be w(-3). Suppose 22*f = -46*f + 6052. Let b = l + f. Calculate the remainder when 107 is divided by b.
26
Suppose -6*v + 1027 = -329. Suppose -2*n + 36 = n. What is the remainder when v is divided by n?
10
Suppose -5*y = -5*s - 4*y - 9, 11 = -3*s + 2*y. Let q = 10 + -4. What is the remainder when 9 is divided by s/(-3) - (-22)/q?
1
Suppose -s + 18 = 3. Let c(j) = j**2 - 16*j + 17. Let y be c(s). Suppose 79 = y*a - 51. What is the remainder when a is divided by 14?
9
Suppose -658 = -i - 104*c + 108*c, 0 = 3*i + 5*c - 1855. What is the remainder when i is divided by 17?
1
Suppose -28*n + 6*n + 1071 = -n. What is the remainder when 8207 is divided by n?
47
Let n = -609 + 614. Suppose -7*q + 173 = n*c - 6*q, -c = -3*q - 41. Calculate the remainder when 104 is divided by c.
34
Suppose 207*z - 210*z = 15, -3*q = 2*z - 3404. Calculate the remainder when q is divided by 25.
13
Suppose 12*m = 916 - 484. Calculate the remainder when 125 is divided by m.
17
Let r(v) = -v**2 - 50*v + 94. Let b be r(-37). Suppose 3*j + p - 565 = 0, -5*j + 4*p = -2*j - b. What is the remainder when j is divided by 24?
21
Suppose -2*b = 2*b - 4, -w - 2*b + 198 = 0. Let t = w + 61. What is the remainder when t is divided by 87?
83
Let m = -175 - -170. What is the remainder when 112 is divided by ((-4)/((-12)/m))/((-7)/126)?
22
Let c(n) = n**3 + 33*n**2 - 178*n + 4. What is the remainder when c(5) is divided by 45?
19
Let q(k) = 2*k**2 + 49*k + 51. Let z be q(-24). Suppose -i + 3*s = -z, -17*s - 9 = -i - 20*s. Calculate the remainder when 44 is divided by i.
8
Let k be (-190)/38 + 114 + -1. Suppose t - 13*t = -k. Calculate the remainder when 72 is divided by t.
0
Suppose -196*h = -5*h - 435334 + 58109. Calculate the remainder when h is divided by 38.
37
What is the remainder when 5377 is divided by 46/3*(-3 - 132/(-11))?
133
What is the remainder when 108 is divided by ((-14)/28)/((-10)/(-25) - 1/2)?
3
Let t(k) = -10*k + 27. Let w be t(6). What is the remainder when 110 is divided by 2 + (1/1 - w/11)?
2
What is the remainder when -15 + 4 + (2 - -191) is divided by 173?
9
Suppose -4*s + 486 = 5*s. Let d = -37 - -20. Let x(q) = q**3 + 17*q**2 + q + 31. What is the remainder when s is divided by x(d)?
12
Suppose -4 + 16 = 4*i. Suppose 5*d + 4*y - 28 = i*y, 5*d - 24 = -3*y. What is the remainder when d is divided by 2?
0
Calculate the remainder when 3/21 + (-40)/(-14) is divided by 990/(-132)*(-2)/5.
0
Let x be 4/4*8 + 1. Suppose 12*w - 72 = x*w. Suppose -3*z + 24 = 4*o - 0, 5*z - w = -4*o. What is the remainder when 12 is divided by o?
0
Let b be 16/(-56) - 128/(-7). What is the remainder when 32 is divided by 256/b - (172/(-36) - -5)?
4
Suppose -51*t = -109*t + 47*t + 1188. Calculate the remainder when 321 is divided by t.
105
Let a(x) = x**2 - 38*x + 1956. What is the remainder when a(44) is divided by 22?
20
Suppose -1206 = -3*u - 2*h, -9*h - 1615 = -4*u - 14*h. Suppose 0 = 44*g - 1852 + u. Suppose q - 7 = 11. Calculate the remainder when g is divided by q.
15
Suppose -2*u - 26 = -3*u - 4*x, x - 1 = 0. What is the remainder when 2440 is divided by u?
20
Let h = 268 + -262. Suppose h*d + 62 = 176. What is the remainder when 56 is divided by d?
18
Let y be -6*2/(-8)*420/(-9). Let o = y + 100. Calculate the remainder when 176 is divided by o.
26
Suppose 4*k - 221 = w, -3*w + 5 = -4*w. Suppose -3*x + k = 2*t, 2*t - 5*t - 18 = -x. What is the remainder when x is divided by ((-1875)/2625)/(12/14 - 1)?
3
Let c(z) = -z**3 - 8*z**2 - 70*z - 476. Let q = 13 + 2. Calculate the remainder when c(-8) is divided by q.
9
Let n = 221 - 216. Suppose n*y = -52 + 67. Calculate the remainder when 47 is divided by y.
2
Let l = 4397 + -3958. Calculate the remainder when l is divided by 106.
15
Suppose 477 = -11*z + 5911. Calculate the remainder when z is divided by 10.
4
Let t(o) = -1 + 28*o + 16*o**3 + 12*o**2 + 1 - 17*o**3 + 5. Calculate the remainder when 17 is divided by t(14).
2
What is the remainder when 574 is divided by (83 - 60) + (-18)/(3 - 0)?
13
Let n(s) = 35*s - 6. Let r be n(3). Let g = r - 96. What is the remainder when 37 is divided by g?
1
Let z(r) = -r**2 + 53*r - 271. Suppose 4*u + 3*l = -l + 88, 0 = -5*u + l + 134. What is the remainder when z(46) is divided by u?
25
Suppose -4*w + 4*a = -6*w + 3660, -2*a - 5482 = -3*w. Suppose 6014 = 23*m + w. Calculate the remainder when m is divided by 8.
6
Suppose 2*k = -4*v + 29668, -2*k = 2*k - 3*v - 59402. What is the remainder when k is divided by 116?
114
Suppose -77*f + 133 = -6874. What is the remainder when f is divided by 3/(-2)*76/(-6)?
15
Let m(s) = s**2 - 144*s + 1057. What is the remainder when 232 is divided by m(7)?
36
Let s(r) = -2*r**3 - 11*r**2 - 5*r + 1. Let a be s(-7). Let c = a - 178. Calculate the remainder when 64 is divided by c.
4
Suppose u + 2*u + 72 = 4*u. What is the remainder when u is divided by 11?
6
Let l(b) = b**2 - 12*b + 23. Let i be l(10). Suppose -3*p - i*m + 1038 = 0, 2*m - 3*m - 1026 = -3*p. Calculate the remainder when p is divided by 69.
67
Suppose 2*m = -5*l + 66, 80 = -0*m + 2*m - 2*l. Suppose -m*k + 32*k = 108. Calculate the remainder when 98 is divided by 3*4/k - (-455)/21.
14
What is the remainder when 105 is divided by 17 + (-436)/(-545)*10/4?
10
Let a be ((-6)/(-4))/((-90)/(-5340)). Let c = a - -3. Calculate the remainder when c is divided by ((-76)/(-12))/((-2)/(-6)).
16
Let t be -411*2/(-6) + -1. Calculate the remainder when ((-7)/((-14)/6) + t)*1 is divided by 28.
27
Suppose 4*n - 18*o = -13*o + 5159, -2587 = -2*n - 5*o. Calculate the remainder when n is divided by 12.
7
Calculate the remainder when 4/((-12 - -10)/(-6650)*1) is divided by 18.
16
Suppose -5*r = 3*i - 2007, -8*r = -2*i - 12*r + 1336. Calculate the remainder when i is divided by 25.
24
Let w = -236 + 140. Let y = w + 102. What is the remainder when 7/(-2) + 3 - (-735)/y is divided by 31?
29
Suppose 791 = -5*n - 429. Let v = n - -251. What is the remainder when 83 is divided by v?
6
Let c be (-2)/(24/20)*(-10 + 7). Suppose -42 = -y - c*y. Calculate the remainder when 27 is divided by y.
6
Suppose 0 = 657*p - 512*p - 5365. Suppose k + b = 185, 0 = -b - 3*b + 4. What is the remainder when k is divided by p?
36
Let b = -3046 + 3120. What is the remainder when 79 is divided by b?
5
Calculate the remainder when 110 is divided by 74 + (6 - (-6 - 11)).
13
Suppose l + 3*a = 18, 3*a + 25 = -3*l + 61. Suppose -11*y - 320 = -l*y. Let b = -91 - y. What is the remainder when b is divided by 19?
12
Let a = 929 - 551. Suppose -117*q - a = -123*q. Calculate th