7*u. Suppose c + 2*c + 3*j = 543, -897 = -u*c + 3*j. Calculate the remainder when c is divided by 46.
42
Let u(y) = -y**2 - 5*y. Let t be u(-4). Suppose 2*d - 24 = -4*g + 8, -d + g = -t. Calculate the remainder when 38 is divided by d.
6
Let l(y) = 17*y**2 - 3*y - 1. Suppose m + 2*x + 11 = 0, m - 3*x = 4*m + 18. Calculate the remainder when 74 is divided by l(m).
17
Suppose 0 = -39*g + 2960 + 160. What is the remainder when g is divided by 6?
2
Let b be 2 - (3/2 + -1)*-2. Suppose 4*t + 55 = b*h, 2*h - 57 - 13 = -4*t. Calculate the remainder when 49 is divided by h.
24
Suppose -63 = 33*z - 294. Calculate the remainder when 1/2 - (-46)/4 is divided by z.
5
Let t = -18 + 23. Suppose -3*n + 17 + 17 = g, -g + 54 = t*n. Calculate the remainder when 18 is divided by n.
8
Let m = 822 - 728. Suppose 0*u - 98 = -2*u. Let d = u - 25. Calculate the remainder when m is divided by d.
22
Let i(d) = -d**3 - 11*d**2 - 15*d - 13. Suppose 14 - 128 = -6*m. What is the remainder when i(-10) is divided by m?
18
Let s(r) be the third derivative of -r**4/3 + 7*r**3/6 - 23*r**2. Calculate the remainder when s(-6) is divided by 20.
15
Suppose 3*s - 29 = o - 10, 4*s = 3*o + 22. Suppose -8 = -2*z - 4. Suppose 36 + 28 = z*u. Calculate the remainder when u is divided by s.
4
Let d be 0 + 21/(3 - 2). Let x = d - 33. Calculate the remainder when 10 is divided by x/(-8)*24/9.
2
Let f(q) = -1 + 3 - 6*q - 3. Suppose 5*l + 3 + 7 = 4*j, 0 = -5*j. What is the remainder when 30 is divided by f(l)?
8
Let k(f) = 19*f**2 - f. Suppose -5*s + 4*p + 75 = 0, -3*p - 30 = -2*s - 5*p. Suppose s = 5*t - 175. Calculate the remainder when t is divided by k(-1).
18
Let l(g) = -g**3 + 8*g**2 - 2*g - 2. Let t = -40 - -105. Calculate the remainder when t is divided by l(7).
32
Let t be 1 + 16/12*3. Let g = 1 - t. Let k = 9 + g. What is the remainder when 19 is divided by k?
4
Let m(b) = 11*b + 7 - 20*b + 1 + 10*b. Let g be m(-6). Suppose -g*u + 7 - 3 = k, 12 = 3*k + 3*u. What is the remainder when 10 is divided by k?
2
Let o = 682 - 349. What is the remainder when o is divided by 13?
8
Suppose -4*y + 114 = -146. Let b(x) = 4*x**2 + 1. What is the remainder when y is divided by b(-2)?
14
Let x be 3/(-2) - 420/8. Let q = 80 + x. What is the remainder when q is divided by 15?
11
Suppose 2*y - 3*y = -9. Let p(h) = -h**3 + 13*h**2 - 13*h + 14. Let s be p(12). Suppose 175 = s*q + 3*q. Calculate the remainder when q is divided by y.
8
Let r = 2899 - 2872. Let b(z) = -z + 6. Let i be b(4). Calculate the remainder when i/3 - (-1565)/15 is divided by r.
24
Suppose -j + 5*p + 45 = 0, 0 = j - 3*p + 5 - 58. What is the remainder when j is divided by 34?
31
Let y = 45 + -54. Calculate the remainder when 193 is divided by (-706)/(-18) + 2/y.
37
Let b(s) = -s**2 + 63*s - 161. Let o = -28 + 67. Calculate the remainder when b(59) is divided by o.
36
Suppose -3*n + 5*f + 34 - 12 = 0, -2*n - 2 = 5*f. Suppose 0 = -i - n*v + v + 24, -5*i = -2*v - 103. What is the remainder when i is divided by 6?
3
Let j(k) = -7*k**3 - 19*k**2 + 15*k - 6. Let m(n) = -3*n**3 - 9*n**2 + 7*n - 3. Let p(c) = 4*j(c) - 9*m(c). Calculate the remainder when 25 is divided by p(4).
4
Suppose 3*t + 2*t - 4*a + 77 = 0, 5*a - 2 = -t. Let s(c) = -4*c - 10. What is the remainder when s(t) is divided by 18/1 + -1 + -2?
12
What is the remainder when 168 is divided by 25*(24/30)/4?
3
Let w be (18 - 14) + (0 - 2). Suppose -w*a - 22 = -0*q - 5*q, 44 = 4*q + 5*a. Calculate the remainder when (q - 3)/(4/12) is divided by 4.
1
Let o = 628 + -414. What is the remainder when o is divided by 72?
70
Let l(q) = -6*q + 206. What is the remainder when l(13) is divided by 32?
0
What is the remainder when (5 + 118)/((-42)/(-28)) is divided by 8?
2
Let l(g) = 8*g**2 - 3*g + 751. Calculate the remainder when l(0) is divided by 29.
26
Suppose 0 = -7*a + 8*a - 55. Let i = -66 - -85. Calculate the remainder when a is divided by i.
17
Suppose 5*b - b - 12 = 0. Suppose u + 148 = b*u. Suppose -i = -c + 44, -51 = -3*c - 4*i + u. What is the remainder when c is divided by 9?
7
Let u(t) be the first derivative of -t**3/3 - 7*t**2 - 9*t + 5. Let i be u(-13). Suppose 95 = i*l + l. What is the remainder when l is divided by 8?
3
Suppose -6*k = -5*k - 11. Let z = k + 9. What is the remainder when 74 is divided by z?
14
Let z(r) = -3*r + 3. Let q be (-2)/6 + 12/9. Let j(i) = -7*i**3 + 1. Let a be j(q). Calculate the remainder when 40 is divided by z(a).
19
Suppose 56 = d - 3. Suppose 0 = 16*c + 3*c - 399. Calculate the remainder when 2 - (3/(-3) - d) is divided by c.
20
Let c = -628 + 707. What is the remainder when 175 is divided by c?
17
What is the remainder when -1 - (-57*1 - 3) is divided by 90/7 + 138/(-161)?
11
Let f(u) = u**3 - 4*u**2 - 4*u - 30. What is the remainder when (-177)/(-6) + (-2)/4 is divided by f(6)?
11
Let f = -110 + 112. Let x be (2 - 16/6)*-3. Let i = 6 - x. What is the remainder when i is divided by f?
0
Suppose 9*f - 469 = -109. What is the remainder when f is divided by 12?
4
Suppose -5*z + 19 = -2*y, -z - 5 = 4*y - 0*y. What is the remainder when (-1182)/(-36) - z/(-18) is divided by (-49)/(-4) + (-1)/4?
9
Suppose 0 = 3*m + d - 217, -2*m + 184 = -5*d + 45. Let v = m + -54. What is the remainder when 71 is divided by v?
17
Let a(p) = 5*p**2 - 16*p - 13. Let w = -4 - 2. Let q(k) = 4*k**2 - 15*k - 12. Let m(o) = w*q(o) + 5*a(o). Calculate the remainder when 27 is divided by m(-10).
6
Suppose 91 - 97 = -3*z. Suppose -2*l = l + 3*a - 147, -4*a - 104 = -z*l. What is the remainder when 199 is divided by l?
49
Suppose 0 = 3*b - 15, -5*u = -5*b + 4*b + 645. Suppose -12*o = -439 + 1459. Let c = o - u. Calculate the remainder when c is divided by 11.
10
Suppose 509*l - 511*l + 48 = 0. Calculate the remainder when 40 is divided by l.
16
Suppose -3*b - 4*t = -19 - 17, 3*t = 2*b - 7. Calculate the remainder when ((-3)/(-6))/((-2)/(-24)) is divided by ((-110)/4)/(-11)*b/5.
2
Let u be 2/(-3)*(5 + -44). Suppose u = 24*p - 23*p. What is the remainder when 76 is divided by p?
24
Let q(c) = 3*c**2 - 27*c + 4. Let d(m) = 7*m + 9. Let a be d(0). What is the remainder when q(a) is divided by 2?
0
Suppose -3*w + 64 = 2*v + w, v - 4*w = 26. What is the remainder when v is divided by 12?
6
Suppose -k - 3 = 0, 0 = 4*w - 4*k - k - 455. Calculate the remainder when w is divided by 14.
12
Let g(t) = t + 7. Let s be g(-7). Let x(u) = -u**2 - 2*u + 33. What is the remainder when 130 is divided by x(s)?
31
Suppose 90 = r - k, -5*k = -3*r + 6*r - 302. What is the remainder when 280 is divided by r?
92
Let g = -307 + 325. What is the remainder when 123 is divided by g?
15
What is the remainder when (10/15)/((-6)/(-198)) is divided by -3 + 18/2 + 2?
6
Suppose 6*a = 4*z + 4*a - 58, -5*a + 93 = 4*z. What is the remainder when 20 is divided by z?
3
What is the remainder when ((-6)/4)/((-24)/816) is divided by 14?
9
Let w(h) = -11*h**3 - 2*h**2 - h. Suppose s = 5*s + 4. Let l = -455 + 474. Calculate the remainder when l is divided by w(s).
9
Let s = -6 - -5. Let h = -24 - s. Let c = h + 40. What is the remainder when 49 is divided by c?
15
Suppose 0 = 4*r + 16, -16 = -a + 4*r + 46. Calculate the remainder when a is divided by (-9)/2*8/(-3).
10
Suppose -5*r + 125 = s + 27, 3*r = -2*s + 63. Suppose 5*y = m + 368, 15*m = 2*y + 20*m - 158. What is the remainder when y is divided by r?
17
Let w(a) = -a + 4. Let j(f) = -4*f + 8. Let g be j(-7). Suppose -4*l - g = -0*l. What is the remainder when 51 is divided by w(l)?
12
Let m be 2 - (3 - (73 + -4)). Let h = m + -64. Suppose 0*n = -n + 10. What is the remainder when n is divided by h?
2
Suppose -t + 2*a - 1 = 3, -3*a = -12. Suppose -122 = -t*o - 30. Calculate the remainder when 66 is divided by o.
20
Suppose -5*l + 4*d + 95 = 0, 2*d = l - 0*d - 19. Suppose -22*f + 99 = -l*f. Calculate the remainder when 230 is divided by f.
32
Let t(i) = 55*i - 111. What is the remainder when t(5) is divided by 144?
20
Suppose -4*a + 831 + 1857 = 0. Calculate the remainder when a is divided by 52.
48
Let b = 1964 - 578. Suppose -11*y = 297 - b. Calculate the remainder when y is divided by 34.
31
Let o = 564 + -465. Suppose 0 = 3*n - 73 - 2. Calculate the remainder when o is divided by n.
24
Suppose 4*a = 3*a + 34. Calculate the remainder when 66 is divided by (-1