ose n*c = 33*c + 494. What is the remainder when 75 is divided by c?
37
Suppose -1421 - 330 = -2*y - 5*s, -4*y = -4*s - 3516. Suppose -19*g + 561 = 181. What is the remainder when y is divided by g?
18
What is the remainder when 5084/10 - 210/(-350) is divided by 248?
13
Let n(a) = -a**3 + 35*a**2 - 46*a + 16. Let y be n(34). Let q = y - -420. Calculate the remainder when 279 is divided by q.
27
Let l = 74 + -100. Let i = l + 49. What is the remainder when 87 is divided by i?
18
Calculate the remainder when (1*4822)/(32 + -30) is divided by 16.
11
Let f = -18789 - -18861. Calculate the remainder when 2795 is divided by f.
59
Let c(p) = -20*p - 3. Suppose g = -a + 47 - 22, 5*g - 2*a - 90 = 0. Calculate the remainder when c(-4) is divided by g.
17
Let r(a) = a**3 - 6*a**2 + 4*a - 41. Let o be r(7). Let t(i) = i**3 + 5*i - 39*i**2 + o*i**2 - 3*i + 8. What is the remainder when 159 is divided by t(4)?
31
Let u(l) = 1103*l - 5255. Calculate the remainder when u(5) is divided by 168.
92
Suppose -1274 = -5*z + 146. Let n = 29276 - 29250. What is the remainder when z is divided by n?
24
Let w = -1 - -8. Suppose 6*x - 285 = 63. Suppose -2*g = -3*a - x, 7*g - 32 = 6*g + 3*a. Calculate the remainder when g is divided by w.
5
Let j(f) = -f**2 + 13. Let n be j(4). Calculate the remainder when n/(-15) - 11356/(-170) is divided by 25.
17
Suppose -30*s = -8526 - 15234. Suppose s = -19*k + 31*k. What is the remainder when 124 is divided by k?
58
Suppose -8*w + 12*w + 3*q = 4915, 2*w - q - 2445 = 0. Calculate the remainder when w is divided by 65.
55
Suppose 4 = -4*d - 2*x, 0 = d + x + 2*x - 9. Let v(i) = -6*i**3 - 5*i**2 - 5*i - 7. Calculate the remainder when v(d) is divided by (-1)/(-5)*1 - 318/(-10).
29
Suppose -850 + 666 = -8*k. Suppose 44 = -n - 9. Let f = -45 - n. Calculate the remainder when k is divided by f.
7
Let d = 2539 - 2473. Calculate the remainder when 194 is divided by d.
62
Let s(u) = 11*u**2 + 1 + 9*u**2 - 19*u**2. Let k(r) = 3*r**2 - 13*r + 17. Let d(q) = -k(q) + 2*s(q). What is the remainder when 80 is divided by d(6)?
26
Let j = 39 + -22. Let g(y) = -y**3 + 62*y**2 + 124*y + 286. What is the remainder when g(64) is divided by j?
13
Suppose 23*s - 83*s = -9022 + 502. Calculate the remainder when s is divided by 4.
2
Suppose 5*m = -5*r + 440, 3*m + 43*r - 48*r = 232. What is the remainder when 2515 is divided by m?
79
Suppose 0 = -v + 2*u + 326, 5*v + 5*u - 100 = 1605. What is the remainder when v is divided by 0 + (-1 - -65) + (-11)/(132/(-48))?
64
Let q(p) = -p**2 - 25*p - 7. Let b be q(-24). Suppose 4*j + h = -6 + 37, j - 16 = -3*h. Calculate the remainder when b + 12/(-8)*12/9 is divided by j.
1
Suppose 12*i = -6*i + 180. What is the remainder when 9107 is divided by i?
7
Let p = -10660 - -10673. Suppose 2*u - 682 + 242 = 0. What is the remainder when u is divided by p?
12
Let p = -41053 - -41094. Let h = -5 - -20. What is the remainder when p is divided by h?
11
Suppose 0 = -5*n + m + 1188, n = -16*n + 2*m + 4049. Calculate the remainder when 840 is divided by n.
123
Let f(o) = -10*o**3 + 3*o**2 + 7*o + 8. Suppose -9*a = -6*a - s + 11, 3*s - 23 = 4*a. What is the remainder when f(a) is divided by 29?
28
Suppose -14*n = -6*n. Suppose n = -3*f - 3*u + 39, u = 4*f + 26 - 98. What is the remainder when 81 is divided by f?
13
Let f = 8083 - 7012. What is the remainder when f is divided by 83?
75
Let b = -44 + 56. Suppose -b*h + 11*h - 5*j - 18 = 0, -86 = 3*h - j. What is the remainder when 75 is divided by -10*(6/4)/(21/h)?
15
Suppose -23*r + 25520 = 21*r. Let t = -570 + r. What is the remainder when 68 is divided by t?
8
Let v(f) = -f + 1. Suppose 3*m - 3 = 0, 3*m - 9 - 4 = -5*w. Let i be w + 1 + -7 - (-2 - -8). What is the remainder when v(i) is divided by 5?
1
Calculate the remainder when (-44)/(-638) - 164364/(-116) is divided by 119.
108
Let p = -21 + 40. Suppose -16*a + 210*a - 774 = -64*a. What is the remainder when p is divided by a?
1
Let z(h) = -2*h**2 + 39*h + 37. Let q be z(20). What is the remainder when 169 is divided by (q/(2 - 1))/((-7)/(-7))?
16
Let f(y) = 5*y**2 + 82*y - 41. Suppose 4*p - 2*r = 5*p + 13, -10 = -5*r. Calculate the remainder when 23 is divided by f(p).
3
Suppose -824 = -37*y + 14*y + 464. Calculate the remainder when 555 is divided by y.
51
Suppose 3*a - 12 + 0 = 0. Let c = 53 - 23. What is the remainder when c is divided by a*1 + (-7)/(-28)*12?
2
Let i be (7/14)/((-2)/(-1224)). Let o be (-6)/27 + (-1955)/(-9). Let s = i - o. Calculate the remainder when s is divided by 45.
44
Let g = -2493 + 2525. What is the remainder when 1976 is divided by g?
24
Suppose 2*a = -2*h + 4*h + 18, 12 = -4*h. What is the remainder when (520/(-650))/(1/(-5)) is divided by (-27)/6*a/(-9)?
1
Let l = -319 + 320. What is the remainder when 68 is divided by l/(((-63)/(-120))/21)?
28
Suppose -4*h = 3*f - 20 - 46, 2*f - 44 = -2*h. Suppose 11 = 2*o + 5*w - 51, o - 46 = 5*w. What is the remainder when o is divided by f?
14
Suppose 4*w + 818 + 106 = 0. What is the remainder when 85 is divided by (4/3)/(-8 + (-1855)/w)?
41
Let c = 699 - 344. Suppose d - c + 281 = 0. Calculate the remainder when d is divided by 25.
24
Suppose 3*p + i = 314, -19 = -p + i + 79. Suppose -p - 67 = -2*f. Suppose -5*n = -67 - 78. Calculate the remainder when f is divided by n.
27
Let d be (-20)/(-28) - (-6)/21. Let u(j) = 28*j**2 - 2*j + 3. What is the remainder when u(d) is divided by 15?
14
Let q = -7124 - -7682. Calculate the remainder when q is divided by 260/8 + 2/4.
30
Suppose 394 = k - 15. Let j = k + -368. Calculate the remainder when 450 is divided by j.
40
Let q(m) be the second derivative of m**5/20 + 5*m**4/4 + 31*m**3/6 + 7*m**2 + 216*m. Calculate the remainder when 362 is divided by q(-12).
66
Let i be (4 - (-14)/(-3))/((-2)/6). Suppose 2*j = 8*k - 5*k + 48, -i = -k. What is the remainder when j is divided by 4/14 + (-96)/(-7)?
13
Suppose -4*d + 2*w + 81 - 25 = 0, d - 3*w = 4. Let t = 33382 + -33337. Calculate the remainder when t is divided by d.
13
Let k(c) = -10*c**3 - 33*c**2 - 12*c + 98. Calculate the remainder when k(-14) is divided by 30.
28
Suppose 2*y + 10 = 7*y. Let i(f) = f - 3. Let r(u) = -20*u - 67. Let s(b) = -2*i(b) - r(b). Calculate the remainder when y is divided by s(-4).
0
Let r = -2010 - -2456. What is the remainder when r is divided by 65?
56
Suppose 0 = 71*k - 1779 - 26266. What is the remainder when k is divided by 269?
126
Let c(x) = -8*x + 427. Let v be c(7). Let s = v + -335. What is the remainder when 131 is divided by s?
23
Let k(u) be the second derivative of 5*u**3/2 - 9*u**2/2 + 2*u. Let b = 17038 - 17010. Calculate the remainder when k(8) is divided by b.
27
Let j = -21 + 37. Suppose 4*u - 2*y = 24, -2*u - u = -y - j. Suppose -4*v + 34 = 2*a - 8*v, u*v + 16 = 0. Calculate the remainder when 34 is divided by a.
7
Suppose -12*c + 3*c = 180. Let s(m) = m**3 + 2*m**2 - 4*m - 5. Let f be s(-3). What is the remainder when 83 is divided by (0 - (-3 + c)) + f?
20
Suppose 5*p = b - 55, -11 = 5*p - 4*p - b. What is the remainder when 15084/198 - (-2)/p is divided by 11?
10
Let y = -2303 - -2460. What is the remainder when 1724 is divided by y?
154
Let o = -11712 + 11757. Calculate the remainder when 266 is divided by o.
41
Let u(t) = 4*t + 11. Let x be u(6). Suppose -4*d + 20 = 4*w, 7*w - 2*w = 5*d - x. What is the remainder when 6 is divided by d?
0
Suppose -r = 2*c - 3257, -5*c + 7100 + 5937 = 4*r. Calculate the remainder when r is divided by 68.
67
Let o = 4466 - 4419. Calculate the remainder when 179 is divided by o.
38
Let n(k) = -79*k + 3. Let a be n(-1). Let m = -69 + a. Calculate the remainder when m is divided by ((-28)/(-49))/(2/7).
1
Calculate the remainder when (-2)/(106/689 + 1080/(-6682)) is divided by 64.
1
Suppose -w = 14*m - 11*m - 3, 0 = -4*w - m + 67. Suppose -4*v = -7*v + w. Calculate the remainder when v is divided by 1.
0
Let x(f) = -2*f**2 - 8*f + 5. Let c be x(-11). Let h(l) = l**3 - 10*l**2 + l + 144. What is the remainder when (-4)/14 - c/7 is divided by h(7)?
1
Let g(l) = -3*l**2 + 2*l + 178. What is the remainder when 1206 is divided by g(8)?
0
Suppose 2*w = -5*j - 4*w + 67, -j + 17 = 3*w. Calculate the remainder when 1098 is divided by j.
9
Let t be 2*-11*5 + 11 + -11. Let g be -4 - t/4 - (-1)