e -5*x = 3*p - p + 12, -3*p = 4*x + 11. Let l(r) = 246*r**2 - 1. Calculate the remainder when l(p) is divided by 41.
40
Suppose 5*h - 40 + 30 = 0. Suppose v + 77 = 5*j + 2*v, -2*j - h*v = -26. What is the remainder when 47 is divided by j?
15
Let l = -3 - -46. Calculate the remainder when l is divided by 11.
10
Suppose -207 = -w - 75. What is the remainder when w is divided by 67?
65
Let j(c) = -14*c - 43. Suppose -2*m + 38 + 32 = 0. What is the remainder when j(-13) is divided by m?
34
Suppose 0 = 27*h - 12*h - 10560. Calculate the remainder when h is divided by 7.
4
Calculate the remainder when (2/(-4)*-2)/((-20)/(-4660)) is divided by -2*(3 - 2) - (-49 + 0).
45
Suppose 3*f + 68 = 158. Let a(u) = u**3 + u**2 + u - 5. Let c be a(0). Calculate the remainder when 866/10 + (-2)/c is divided by f.
27
Let o be 2/(-4 - -6) - -8. Let x(i) = 4*i - 8. Let z be x(o). Let s = z - 15. Calculate the remainder when 76 is divided by s.
11
Suppose -5*d + 25 = 0, 0 = -2*l + l + 2*d + 12. Calculate the remainder when (8 - 2)*(-9 + 16) is divided by l.
20
Let h be (12/(-18))/(-2 + (-32)/(-18)). Calculate the remainder when (-2*1/h)/(26/(-5109)) is divided by (-11)/(-1*2/6).
32
Suppose b - 2*b = g - 16, -b - 2*g + 20 = 0. Suppose o = 5*f - 41, o - 3*o + 8 = 0. Calculate the remainder when f is divided by b/(2 + 1) - 1.
0
Suppose -3*c - 3*j + 36 = 0, 0*j + 27 = 4*c - 3*j. Suppose -c*n - 9 = -1431. Calculate the remainder when n is divided by 53.
52
Let h = -283 + 349. What is the remainder when h is divided by 7?
3
Suppose 7*q + 20 = 11*q. Suppose 0 = 2*r - q*r + 168. Calculate the remainder when r is divided by 15.
11
Let s = 4 - 1. Let f be ((-1)/s - -1)*114. Let z = -21 + f. What is the remainder when z is divided by 14?
13
Suppose 3*w + 3*c = 186, w + c = 2*w - 56. What is the remainder when w is divided by 7?
3
Suppose -8 = -l - 3*l. Let x = 6 - 2. Calculate the remainder when -1 + 16/x - -4 is divided by l.
1
Let s be 1*4 + (-3 - -1). Suppose -p = -13 - s. Calculate the remainder when p is divided by 8.
7
Let r = 38 + -29. What is the remainder when (-3)/r - 242/(-6) is divided by 11?
7
Suppose 0 = 5*a - 3*p - 1145, -2*p - 349 + 1017 = 3*a. What is the remainder when a is divided by 77?
72
Let r = 104 - 113. Let n(u) = -u**3 - 9*u**2 - u - 1. Calculate the remainder when n(r) is divided by 6.
2
Let d(u) = -u**3 + 79*u**2 + 245*u + 94. Let k = -20 - -51. Let p = 52 - k. What is the remainder when p is divided by d(82)?
9
Let n be (21/(-35))/((-2)/20). Suppose -z = -n*z. Let b = 8 + z. Calculate the remainder when 21 is divided by b.
5
Suppose 0 = 167*j + 42*j - 18*j - 31324. Calculate the remainder when j is divided by (-2 + 0)*(-11)/2.
10
Suppose -2*p + x + 86 = 2*p, -2*p - 4*x = -52. What is the remainder when p is divided by 15?
7
Let a(p) be the second derivative of -p**3/2 + 5*p**2/2 + 13*p. What is the remainder when 12 is divided by a(0)?
2
Suppose 0 = 3*o - 7*o + 236. Calculate the remainder when 112 is divided by o.
53
Let q(l) = 27*l - 5. Calculate the remainder when q(6) is divided by 56 + -17 - 14/2.
29
Let o = -8 - -5. What is the remainder when (-3 - o - -2)*2 is divided by 3?
1
What is the remainder when 226 is divided by 6/24 - ((-1435)/20 - 4)?
74
Suppose -50*j + 2720 = -16*j. Calculate the remainder when j is divided by 31.
18
Let o(i) = 34*i + 279. Calculate the remainder when 13 is divided by o(-8).
6
Suppose 2*w + w - 4*z - 42 = 0, 3*w - z = 33. Suppose 56 = 3*p - w. Calculate the remainder when p is divided by -1 - -4 - 24/(-8).
4
Let k = -30 + 32. Suppose -3*w - 58 = -2*m - 8*w, 0 = -w + k. What is the remainder when m is divided by 13?
11
Suppose -5*v = -3*w - 875, 2*v = v - 3*w + 193. Let q = v + -65. What is the remainder when q is divided by 23?
21
Let p = 21 - 15. Suppose p*l = 3*l + 375. Calculate the remainder when l is divided by 32.
29
Suppose 3*t - 6*t + 69 = 0. Let h = -16 + t. Suppose z - 5*g + 3*g - 23 = 0, -99 = -5*z + 2*g. What is the remainder when z is divided by h?
5
Suppose -57*t = -9*t - 2160. Suppose 2*l = 3*l + 2*y - 18, 5*y = 2*l - 9. What is the remainder when t is divided by l?
9
Suppose -2*a + 335 - 313 = 0. Suppose 3*i = 2*o - 234, 2*i + 0 = 4. Let x = o + -79. Calculate the remainder when x is divided by a.
8
Let n(u) = -u**3 - 29*u**2 - 54*u + 24. Calculate the remainder when n(-27) is divided by 3.
0
Let p be (-450)/(-12) + 3/6. Suppose 362 - p = 6*x. Calculate the remainder when x is divided by 0 + 29 + (0 - 1).
26
Let q = 371 + -337. Calculate the remainder when q is divided by 8.
2
Let o = -128 + 130. Suppose -k - o*s + 16 = 0, -k + 3*s = -4*k + 33. Calculate the remainder when 53 is divided by k.
5
Let f(m) = -7*m. Calculate the remainder when f(-6) is divided by (10/(50/5))/((-4)/(-92)).
19
Let r(t) be the third derivative of t**5/20 + 5*t**4/4 + t**3 + 18*t**2. What is the remainder when r(-12) is divided by 40?
38
Suppose -f + 18 = -0*f - z, -3*z = -6. Calculate the remainder when 115 is divided by f.
15
Let q be ((-8)/20)/(2/(-5)). Let n be 0 - (33 - (q - 4)). Let x = 59 + n. What is the remainder when 45 is divided by x?
22
Let w(t) = 4*t**3 - 4*t**2 + 3*t - 2. Let q(a) = 54*a + 219. Calculate the remainder when q(-3) is divided by w(2).
17
Let f = 161 - 149. Suppose -1119 + 399 = -9*i. Calculate the remainder when i is divided by f.
8
Let o(b) = -b**3 - 8*b**2 - 10*b - 3. Let t = -17 + 10. Let h = -32 + 37. Calculate the remainder when o(t) is divided by h.
3
Let y(l) = 4*l**2 + 3*l - 28. Calculate the remainder when 282 is divided by y(-5).
54
Suppose 5 + 4 = -3*w. What is the remainder when (-4)/w - (-385)/15 is divided by 15?
12
Let z(n) = n**2 - 11*n - 99. Calculate the remainder when 176 is divided by z(19).
17
Calculate the remainder when 162 is divided by 1646/30 + 38/285.
52
Suppose -2*q + 0*q - d + 35 = 0, 4*q - 2*d - 82 = 0. What is the remainder when q is divided by 2?
1
Suppose 2*r = 2*o + 26, -2*o + 36 = r + 8. Let s = 50 - 59. Let j = 14 + s. What is the remainder when r is divided by j?
3
Let m(k) = 4*k - 183. Calculate the remainder when 4 is divided by m(46).
0
Suppose -2*k - 2*k = -4. Let j = k - -4. Suppose 5*c = j*o, 0 = 2*o + 4*c - 6 - 24. What is the remainder when 18 is divided by o?
3
Let f = -2 + 3. Suppose f = -5*w + 3*j - 2*j, 2*w = -4*j + 4. Suppose w*a + 49 = a + 3*h, 0 = -2*h + 8. What is the remainder when a is divided by 10?
7
Suppose 2*z + 35 = 4*r - 111, 0 = r + 4*z - 50. Calculate the remainder when r is divided by 21/(-3)*2*-1.
10
Suppose 86 = 2*s + 5*a, 5*a = 5*s - 157 - 128. What is the remainder when s is divided by 11?
9
Suppose 0 = 3*u - 2*z - 70, 0 = -5*u - 5*z + 4*z + 108. Calculate the remainder when 33 is divided by u.
11
Let o = -585 - -592. What is the remainder when 117 is divided by o?
5
Let b = 313 - 309. Calculate the remainder when 7 is divided by b.
3
Suppose -274 = -2*a - 4*t, -5*t = -3*a + a + 301. Let w = -475 + 511. Calculate the remainder when a is divided by w.
35
Suppose -6*h = -7*h + 2. Suppose 0 = -3*z + i + 33 + 10, z - h*i = 11. What is the remainder when 58 is divided by z?
13
Let p = -451 + 467. What is the remainder when 31 is divided by p?
15
Suppose -68 = -5*p + 3*y, 4*p - 88 = -p - 2*y. Suppose 0 = 3*f + 2*v - 2, v + 0*v = 4*f - 21. What is the remainder when p is divided by f?
0
Suppose 2*r + 21 = 3*q, 0*q - 2*q + 19 = -3*r. What is the remainder when 117 is divided by q?
2
Suppose -2*f - 2*f = -2*c + 120, 0 = 2*f - 4. Suppose -4*z + c - 192 = -2*g, -5*z = -g + 73. What is the remainder when g is divided by 15?
13
Let l = -7 - 8. Let h = 34 + l. Suppose -p + h = -5*i + 5, 0 = -2*i - 2. What is the remainder when 17 is divided by p?
8
Let c = 162 + -153. What is the remainder when 429 is divided by c?
6
Let z(g) = -6*g + 67. What is the remainder when z(-4) is divided by 16?
11
What is the remainder when ((-8)/12)/(15/(-5130)) is divided by 7?
4
Let l(r) = 2*r**3 - 10*r**2 + 11*r - 6. Let h be l(4). Suppose -h*k - 28 = -8*k. What is the remainder when k is divided by 9?
5
Suppose 0 = -5*b + 3*a + 72, -3*a = -5*b + 2*a + 80. Suppose 16*h - 180 = 12*h. Calculate the remainder when h is divided by b.
9
Let x be (-3 + -12)/(-1) - 1. Suppose 0 = -5*k - p - 33 + 85, -2*k + 3*p = -x. What is the remainder when 19 is divided by k?