3444. Calculate the remainder when q is divided by 49.
47
Let n = -179 + 464. Calculate the remainder when n is divided by 16.
13
Let f be 1/(-2) + 10/4. Suppose -3*p + f*p = -12. Calculate the remainder when p is divided by ((-90)/(-120))/(2 - 37/20).
2
Suppose -5*s + 16260 = -5*c, -7*s + 19502 = -s - 4*c. Calculate the remainder when s is divided by 25.
22
Suppose 0 = -3*y + m - 11, -2*y = -5*m - 3 + 6. Let z be (58/y)/(3/6). Let j = z - -52. What is the remainder when 90 is divided by j?
21
Suppose 378 = 2*x - 4*k, -5*k + 2*k - 931 = -5*x. What is the remainder when x is divided by 19?
14
Suppose -9*y = 3*y - 444. Calculate the remainder when 49 is divided by y.
12
Suppose -20 = m - 8. Let a be (m/30)/((-1)/5). Calculate the remainder when (a/4)/(4/104) is divided by 7.
6
Suppose 0 = i - 4*t - 53, 3*t - 129 - 90 = -5*i. What is the remainder when i is divided by 5?
0
Let c(g) = 2*g. Let d be c(4). Suppose -d*m = -3*m. Suppose 4*a + 2*b - 52 = -m*b, -2*b = 3*a - 37. What is the remainder when 44 is divided by a?
14
Let d(p) = -p**3 + 9*p**2 - 14*p + 6. What is the remainder when 246 is divided by d(5)?
30
Suppose -3*g - o - o + 234 = 0, g + 4*o - 68 = 0. What is the remainder when g is divided by 28?
24
Let v be 1*(-2)/7 - (-3186)/126. Let c = -15 + v. Calculate the remainder when c is divided by 3.
1
Suppose 4*w + 163 = g - 0*w, g = 5*w + 160. Let k = g + -87. What is the remainder when k is divided by 30?
28
Let g = -6 + 11. Suppose -g*j + 23 - 3 = 0. What is the remainder when 9 is divided by j?
1
Suppose -32*v - 163 + 675 = 0. What is the remainder when 159 is divided by v?
15
Suppose j - 4*t = 0, -3*j + t + 13 + 9 = 0. Let l = j + 7. What is the remainder when (0/1 - 1)*-44 is divided by l?
14
Let o(u) = -u**3 - 8*u**2 - 2*u - 10. Suppose -4*y + 87 + 21 = 2*g, -2*g = y - 21. What is the remainder when y is divided by o(-8)?
5
Let l = -458 - -782. Calculate the remainder when l is divided by 33.
27
Let h = -491 + 510. Calculate the remainder when 42 is divided by h.
4
Let n = 22 + -17. Let o = 8 - 8. Suppose 0 = -b + x + 13, o*b - 5*x + 19 = b. What is the remainder when b is divided by n?
4
Let i = 10 - 0. Suppose i*t = 14*t - 36. What is the remainder when 31 is divided by t?
4
Let c be 9 - 3/5*20/4. Suppose 2*q - 10 = -c. What is the remainder when 9 is divided by q?
1
Let q(u) be the third derivative of -u**4/24 + 9*u**3 - 71*u**2. Let y(t) = t - 1. Let c be y(1). Calculate the remainder when q(c) is divided by 28.
26
Suppose w - 2*b = 8, w - 12 = 5*b + 5. Suppose -3*l + 45 = 4*g, w*g = l - 11 - 4. What is the remainder when 27 is divided by l?
12
Suppose 3*l = 5*q + 31, -5*l - 3*q = -21 - 8. Suppose 0 = 3*c - 52 - 20. What is the remainder when c is divided by l?
3
Suppose -4*d + 3 + 25 = 0. Suppose -3*z + 29 - 47 = 0. What is the remainder when d is divided by 36/15 + z/(-10) + 1?
3
Suppose -11*v - 82 = -12*v. Calculate the remainder when v is divided by 32.
18
Let d = -397 - -492. Calculate the remainder when d is divided by 25.
20
Suppose 572 = 4*i - 3*n - 877, n = 4*i - 1459. What is the remainder when i is divided by 8?
6
Let f = 7 + 16. Let w = -87 + 188. Suppose 0 = 2*a - w - 33. Calculate the remainder when a is divided by f.
21
Let z(x) = -x**3 + 4*x**2 + 5*x + 3. Let v be z(5). Suppose 5*q - v = 2*i, -4*i + 2*q - 18 = i. Calculate the remainder when 1*12 + (-2 - i) is divided by 5.
4
Suppose 0 = 4*f + f - g - 112, 0 = -3*f + g + 68. What is the remainder when f is divided by 12?
10
Let f be 3/(-2) + (-4)/8. Let t be (f - (-1)/1) + -279. What is the remainder when t/(-30) - 1/3 is divided by 6?
3
Suppose 8 = -3*k - 10. Let c be (-3 - k)/1 + -3. Suppose 5*y + c*y - 100 = 0. What is the remainder when y is divided by 11?
9
What is the remainder when 246 - -5*(-14)/35 is divided by 35?
34
Let x(p) = -12*p**2 - 2*p + 3. Let w be x(-3). Let f = 174 + w. What is the remainder when (9 - f)*1/(-3) is divided by 6?
4
Let i = -2 - 20. What is the remainder when 29 + (4/i - (-315)/99) is divided by 18?
14
Let h(c) = 31*c**2 + 2*c + 1. Let t be h(-2). Suppose -l + 365 = 3*b, -b + 4 = 2*l - t. What is the remainder when b is divided by 31?
28
Suppose -4*f + 2*s = 7*s + 490, -3*s - 486 = 4*f. Let m = f - -56. What is the remainder when 12 is divided by (-3 + m/(-12))*3?
5
Suppose 6 + 27 = 3*x + 3*k, 0 = k - 5. What is the remainder when 74 is divided by x?
2
Suppose 28*q - 301 = 875. Calculate the remainder when 366 is divided by q.
30
Let h(z) = -z**2 + 10*z + 5. Let s be 184/16 + 6/(-4). Let x be h(s). Suppose u = x*b + 30, 5*b = -u + b - 15. Calculate the remainder when 12 is divided by u.
2
Let l(n) = -187*n + 2922. Let x = -56 + 116. What is the remainder when l(15) is divided by x?
57
Let q = 1087 + -1004. Calculate the remainder when 742 is divided by q.
78
Calculate the remainder when (-4 - 26)/5 - -22 is divided by 6.
4
Suppose 0*j = 6*j - 180. What is the remainder when 78 is divided by j?
18
Let d(p) = 16*p + 57. What is the remainder when d(-3) is divided by 8?
1
Suppose -16 = -2*f - 4*t, 2*t = -4*f + 16 - 2. Suppose -5*q - 141 + 0 = -3*w, -174 = -4*w + f*q. Calculate the remainder when 123 is divided by w.
39
Let h = 9 + 11. What is the remainder when 3/2 + (-1)/(14/(-1589)) is divided by h?
15
Suppose 49 = 2*m + 3*z, 4*m - 27 - 73 = -4*z. Calculate the remainder when 102 is divided by m.
24
Let z = 1689 + -1677. Calculate the remainder when 42 is divided by z.
6
Suppose 35716*x + 126 = 35734*x. What is the remainder when (1 + 2)*274/6 is divided by x?
4
Calculate the remainder when 204 is divided by 25/(-10)*(-336)/40.
15
Let z = 20 + 62. Calculate the remainder when 322 is divided by z.
76
Suppose 109 = -0*g + g. Let u(h) = h**2 - h + 16. Calculate the remainder when g is divided by u(0).
13
Suppose 0 = -0*i + 2*i - 38. Let s = i - -43. Calculate the remainder when 184 is divided by s.
60
Let d = 17 + -13. Suppose 4*f - 3*t = 2*f + 8, -4*f + d*t = -16. What is the remainder when f is divided by 2?
0
Suppose j = 2*l - 59 - 25, 3*l - 2*j - 125 = 0. What is the remainder when 166 is divided by l?
37
Let d = 21 + -21. Suppose -2*y - 7 = 3, d = -5*f + 3*y + 55. What is the remainder when 22 is divided by f?
6
Suppose -c - k = 4*k - 15, -21 = -c - 3*k. What is the remainder when 179 is divided by c?
29
Suppose q - 5*s - 259 = 0, 1295 = 5*q - 0*q - 5*s. What is the remainder when q is divided by 91?
77
Suppose 3*q = f + 60, 0*f = q - 3*f - 28. Let u = q - -21. What is the remainder when u is divided by 21?
19
Let p(b) = 8*b - 12. Let i(a) = -15*a + 23. Let n(s) = 3*i(s) + 7*p(s). Let d = -44 + 62. What is the remainder when n(6) is divided by d?
15
Suppose 15*o + 55 = 20*o. Suppose -z = -35 - 47. Let w = z + -39. Calculate the remainder when w is divided by o.
10
Let k(y) = 2*y**2 + 10*y + 19. Calculate the remainder when 60 is divided by k(-6).
29
Suppose 0 = 106*s - 111*s + 670. What is the remainder when s is divided by 17?
15
Suppose -4*n - 2*i + 6 = 0, 4*n + 3*i - 10 + 7 = 0. Let u(b) = b**2 + b - 2. Let a(p) = -p + 2. Let r be a(0). What is the remainder when u(r) is divided by n?
1
Let a(x) = x**3 + x**2 - 2*x - 5. Let b be a(0). What is the remainder when (-33 - 2)/(5/b) is divided by 6?
5
Let o = 17 - 6. Suppose -4*v + 33 = -39. What is the remainder when v is divided by o?
7
Let u(i) = -i**3 - 16*i**2 + 17*i + 59. What is the remainder when u(-17) is divided by 5?
4
Let c(v) = -4*v + 7. Let g be c(11). Let s = -22 - g. Calculate the remainder when 87 is divided by s.
12
Let m be 7*8*(-2)/(-14). Let u = m - 5. Suppose 0 = -u*r + 2*r + 8. Calculate the remainder when 22 is divided by r.
6
Let o(x) = -x**2 - 18*x + 460. What is the remainder when 541 is divided by o(-29)?
118
Suppose -3*j - 3*x + 47 = -2*x, 1 = -j + 3*x. Calculate the remainder when 83 is divided by j.
13
Let q(n) = -3*n - 49. Let u be q(-17). What is the remainder when ((-31)/(-4) + u)/((-12)/(-64)) is divided by 9?
7
Let a = 31 - 16. What is the remainder when 4 + 0 + 25 - 1 is divided by a?
13
Let b(r) = -r**2 + 3*r + 14. Let n = 111 + -58. Calculate the remainder when n is divided by b(0).
11
Let g be 3/9 + (-128)/(-12). Let y = 37 - g. Let d = 1 + 13. Calculate the remainder when y is divided by d.
12
Suppose 280 = 4*o + 4*i, -28*o + 3*i - 66 = -