*q + 8. Calculate the remainder when s is divided by u(6).
6
Suppose -22*a + 8*a - 16324 = -50330. Calculate the remainder when a is divided by 1212.
5
Let h(k) = 16*k - 62. Suppose 2*p + o - 1832 = 0, -2*p + 20*o = 18*o - 1838. What is the remainder when p is divided by h(5)?
17
Suppose 4*p - 129*k = -134*k + 2082, -2*p + 5*k = -996. Calculate the remainder when p is divided by 12.
9
Let m(p) = 4*p - 106. Let a be m(27). Suppose 0 = -5*c - 5*z + 140, -a*c + 3*z = -0*z - 76. What is the remainder when 127 is divided by c?
31
Calculate the remainder when 2305 is divided by 275/(-11) + 15 - -336.
23
Let c(v) = -4 + 3*v**2 - 238*v + 248*v - 4 + 5. Calculate the remainder when 142 is divided by c(2).
26
Let o be 3/(12/(-16)) + 2*10. Suppose -293 = -3*j + 109. Calculate the remainder when j is divided by -5 + o/(-8) + 22.
14
Let b = 2384 - 2364. Calculate the remainder when 54 is divided by b.
14
What is the remainder when ((-3 + -61)/((-56)/(-24)))/((-2)/1442) is divided by 31?
29
Suppose -15*w + 19*w = 20. Suppose 2*h - 27 = w*r, -r + 108 = -h + 6*h. What is the remainder when 144 is divided by h?
18
Let j be (0 + 6/9)*(10 + -1). Suppose -11*t + j + 38 = 0. Calculate the remainder when 91 is divided by 3/(-6)*(-152)/t.
15
Let i be 143964/288 - (3/8)/(-3). Suppose 5*a + 2*r = 7*r + i, 4*a - 5*r - 402 = 0. Calculate the remainder when a is divided by 10.
8
Suppose 0 = 3*g - 83 - 79. What is the remainder when 69 is divided by g?
15
Let x = -37 - -96. Suppose x*f - 54*f = 0. Suppose -9*s + 11*s - 18 = f. Calculate the remainder when 52 is divided by s.
7
Let u(n) = n**3 + 2*n**2 - n + 3. Let g be u(-3). Let v(b) = b + 18. What is the remainder when 25 is divided by v(g)?
10
Let s be -84*285/40*-2. Suppose s = 17*r + 2*r. What is the remainder when r is divided by 32?
31
Suppose 21*g - 15*g + 6275 = y, 0 = y - 3*g - 6296. Calculate the remainder when y is divided by 89.
87
Let t(a) be the first derivative of 23*a**3/3 + 37*a**2/2 - 36*a + 76. What is the remainder when 203 is divided by t(1)?
11
Let g = -2 + 2. Let d = 479 - 469. Suppose 0 = -2*k - d, 5*t - 5*k - 275 = -g*k. Calculate the remainder when t is divided by 13.
11
Suppose -2476 = -32*h - 204. Calculate the remainder when 335 is divided by h.
51
Let z(l) = -l**3 - 22*l**2 + l + 61. What is the remainder when 190 is divided by z(-22)?
34
Suppose -8*j + 14*j + 102 = 4*h, 2*h = -3*j - 3. What is the remainder when 2166 is divided by h?
6
Calculate the remainder when (-5565)/(-15) + -15 + -2 is divided by 14.
4
Suppose -5*x - 2388 = -17*x. What is the remainder when x + (0/(-7) - 3) is divided by 6?
4
Let r(t) = -t**2 - 29*t + 232. Calculate the remainder when 1298 is divided by r(-33).
98
Suppose 0 = 2*k + g - 444, g - 3*g - 888 = -4*k. Suppose 9*x + 875 = 4*x. Let a = x + 220. Calculate the remainder when k is divided by a.
42
Let l = 46 - 20. Let a be 0/(-1) + (40 - 4). Suppose -a*d = -19*d - 3519. Calculate the remainder when d is divided by l.
25
Let c(l) = l**3 - l**2 + 3*l - 16. Suppose -3*t - 2 = -u, -3*u + 16 = -2*t + 3*t. Let i be c(u). Let w = i - 53. What is the remainder when w is divided by 12?
10
Suppose 0 = 2*g + 3*u + 42 - 65, -3*u = -3. What is the remainder when 146 is divided by g?
6
Let z(m) = m**3 + 5*m**2 - 6*m - 18. Let v be z(-3). Suppose o + v = r - 21, -4*r + 2*o + 146 = 0. Calculate the remainder when r is divided by 18.
16
Let u = -95 + 109. Let g be 4/(-14) + 564/u. Suppose r - g = 8. What is the remainder when 94 is divided by r?
46
Suppose 0 = -3*a - 8249 + 8585. Suppose -139 = -g - 8. Suppose -d - 3*b + 9 = b, 4*d - g = 3*b. What is the remainder when a is divided by d?
25
Let w(d) = -d**3 - 24*d**2 + 23*d - 41. Let s be w(-25). Suppose 0 = -l + s*l - 480. Calculate the remainder when l is divided by 8.
4
Let n(u) be the first derivative of 3*u**2 + 225*u + 81. Calculate the remainder when 153 is divided by n(-31).
36
Suppose -n = 2*b + 1, -5*b + 7 = -7*b + n. Let u = -7 + 11. Calculate the remainder when -1 + 19/3 - b/3 is divided by u.
2
Calculate the remainder when 30 is divided by 279/31*(-21)/(-9).
9
Let b be 1/(2/(-8)) - (12 + 2). What is the remainder when 45 is divided by (5 - (6 + b))*2?
11
Suppose -5*z + 6622 = y, 3*z + 24131 - 4211 = 3*y. What is the remainder when y is divided by 11?
4
Calculate the remainder when 472 is divided by -5*15/(-100) - (4 + 339/(-12)).
22
Suppose 25*u + 3984 = 7459. Calculate the remainder when 569 is divided by u.
13
Suppose 2*i = 2*d + 256, 3*i - 5*d - 529 = -153. What is the remainder when i is divided by 44?
0
Let y = -32 - -35. Let a(n) = 17*n + 3. Let w be a(y). What is the remainder when 79 is divided by 490/12 + 9/w?
38
Let k = -7271 + 9273. Calculate the remainder when k is divided by 41.
34
Calculate the remainder when 257 is divided by (-645)/20*(91/21 - 7).
85
Let x = 30 - -74. Let n = 158 - x. What is the remainder when n is divided by (-57)/(-2) + 2/(-4)?
26
Let y(i) = -207*i + 678. What is the remainder when 191 is divided by y(3)?
20
Suppose 0 = 5*l + 4*z - 78, -4*l + 0*z = 3*z - 62. Let k = -5151 + 5160. Calculate the remainder when l is divided by k.
5
Let d(m) = 5*m**2 + 96*m + 778. What is the remainder when 1914 is divided by d(-9)?
0
Suppose -122*m = 3*j - 125*m - 204, 0 = -3*j + 4*m + 204. What is the remainder when 350 is divided by j?
10
Let z(j) = j**2 + 8*j + 8. Let c be z(-8). Suppose -11*y = -13*y + c. What is the remainder when -1*(8 + -4 + -33) is divided by y?
1
Let y = -3200 - -3540. Calculate the remainder when y is divided by 57.
55
Suppose 3*a + 84 = 4*a. Suppose 4 = d, 5*p - 11*d = -6*d + 95. Calculate the remainder when a is divided by p.
15
Let n(r) = -7*r - 3. Let j be n(-4). Suppose 3*w + j = 100. Let f = -17332 - -17426. What is the remainder when f is divided by w?
19
Suppose 100 = 8*v - 52. Suppose 33*l = v*l + 5992. Calculate the remainder when l is divided by 13.
12
Let i(g) = 108*g + 385. Calculate the remainder when i(-2) is divided by 46 - (20/5 - 3).
34
Suppose -24*r + 227*r - 200396 - 103901 = 0. Calculate the remainder when r is divided by 35.
29
Suppose 833 = 9*a + 167. Calculate the remainder when a is divided by 33.
8
Let v = 41552 - 41530. Let x(n) be the third derivative of 11*n**5/60 - n**4/12 + n**3/6 + n**2. Calculate the remainder when x(2) is divided by v.
19
Suppose 5*z = 10, -3*z = -3*t + 207 + 9. Let h = t - -13. Calculate the remainder when h is divided by 5.
2
Let m(s) = s**2 + 7*s + 1. Suppose -17*q + 3498 = -480. Let j = -82 + q. Calculate the remainder when j is divided by m(-10).
28
Suppose -4*n - 5*x = -2*x - 582, -4*x = -8. Suppose p - n = -15*p. What is the remainder when 44 is divided by p?
8
Let x(c) = -157*c + 476. Calculate the remainder when 264 is divided by x(3).
4
Suppose -29*p + 28*p = -65. What is the remainder when p is divided by 41?
24
Let o(c) = -c**2 + 20*c - 46. Let t be o(17). Suppose -200 = -t*r - 20. What is the remainder when r is divided by 11?
3
Suppose 4*b - 231*c + 226*c - 3457 = 0, 2549 = 3*b + 5*c. What is the remainder when b is divided by 49?
25
Suppose 3*o = -0*o + 4*v + 1899, -o = -6*v - 605. What is the remainder when o is divided by 55?
36
Suppose 421 = -12*a - 59. Let j = 53 + a. Calculate the remainder when 140 is divided by j.
10
Suppose -77 = 4*g - 101, 0 = -12*m - 3*g + 20874. Calculate the remainder when m is divided by 60.
58
Suppose 0 = -16*f + 2*f + 2170. What is the remainder when 608 is divided by f?
143
Suppose -3*t + h + 474 = 0, -625*t + 626*t - 156 = h. Calculate the remainder when t is divided by (1 - 69)/(-2) + 0.
23
Suppose -24*s + 19*s + 561 = 2*n, -5*s + 546 = -3*n. Calculate the remainder when 765 is divided by s.
99
Let p = -99 + 114. Let q = 479 + -405. What is the remainder when q is divided by p?
14
Let y = 46 - 25. Suppose 2*s = s - f + y, -s + 5*f = -45. What is the remainder when s is divided by -2*((-63)/10 - -7*(-8)/280)?
12
Suppose -4*r + d = -d + 1650, -r - 408 = d. Let z = r + 451. Calculate the remainder when 399 is divided by z.
39
Let i(x) = -43*x**2 + 38*x**2 - 24*x + 3 - x**3 + 5*x + 11*x. What is the remainder when i(-5) is divided by 7?
1
Let j(y) = -y**2 + 30. Let k(q) = -q**2 + 5*q - 44. Let h be k(0). What is the remainder when j(0) is divided by (17/2)/((-22)/h)?
13
Cal