 7*r + 44. Let t = 17 - r. Suppose 2*u + 404 = t*u. Calculate the remainder when u is divided by 34.
33
Let s = 41 - 57. Let n = s + 34. Let a = 53 + -19. Calculate the remainder when a is divided by n.
16
Suppose 0 = 2*f - o - 216, -18*o - 531 = -5*f - 20*o. Let p(u) = -u**2 - u + 56. What is the remainder when f is divided by p(0)?
51
Suppose -a + 89 = -3*k, 4*a + 2*k = 8*a - 356. What is the remainder when a is divided by 47?
42
Suppose -2*x + 61*b + 68 = 65*b, -4*x - 5*b = -151. Calculate the remainder when x is divided by 16.
12
Suppose -6*o + 552 = 102. What is the remainder when o is divided by 20?
15
Let p(j) = -j**3 + 11*j**2 + 12*j + 9. Let o be p(12). Let c = 81 - o. Suppose 0 = 2*y + 2*y - c. What is the remainder when 70 is divided by y?
16
Let j be 14/(-35) + 4/10. Suppose -1 = -n, -d - 5*n = -16 - j. What is the remainder when d is divided by (-2)/((-2)/(-8)*-2)?
3
Let v be 8/6 - 2/(-3). Suppose 4*h = -4*x + 44, h - 2*x = v*x - 9. Calculate the remainder when 39 is divided by h.
4
Suppose 5*g - 5*z - 277 = -57, z - 48 = -g. Let c = 10 - -6. What is the remainder when g is divided by c?
14
Suppose 0 = -0*p + 3*p + 2*y - 2033, p - 683 = 2*y. Suppose 6*k + k = p. What is the remainder when k is divided by 20?
17
Suppose 315 = 3*j + 3*r, 0 = j - 2*r - 55 - 44. Calculate the remainder when j is divided by 7.
5
Let r be 15/4 - 2/(-8). Suppose -r = 3*t - 5*t. Calculate the remainder when (t/2 - 1) + 14 is divided by 5.
4
Let z = 249 - 235. Suppose -3*h - 270 = -3*a, -2*a - 3*h + 196 = -h. Calculate the remainder when a is divided by z.
10
Suppose -45*d + 43 = -44*d. Calculate the remainder when d is divided by 4.
3
Let z = 7 - 6. Let p be (z - (-1)/(-3))*3. Let v = p - -4. Calculate the remainder when 23 is divided by v.
5
Let f(b) = b + 3. Let c be f(-3). Suppose v + 3*v + 24 = c. Calculate the remainder when (-3)/v - 339/(-6) is divided by 30.
27
Let y = 1 + 1. Let a be 44/198 - 29/9. What is the remainder when 13 is divided by a*(30/(-9))/y?
3
Let q(f) = 3*f. Suppose -3*v = -32 + 5. Suppose b + 0*u - v = u, -20 = -2*b + 4*u. What is the remainder when q(5) is divided by b?
7
Suppose 13*p + 2501 = 7792. Calculate the remainder when p is divided by 202.
3
Suppose -11*r = 75 - 207. Calculate the remainder when 947 is divided by r.
11
Suppose 2*j = -1 - 1. Suppose -30*q = -758 + 8. What is the remainder when (1 - 5)/(j/12) is divided by q?
23
Let n(a) = -4*a**2 - 377*a + 729. Suppose 0 = -4*v + 37 + 11. What is the remainder when n(-96) is divided by v?
9
Suppose o - 3*o + 132 = 0. Suppose -4*l + 87 = 5*g, 3*l + 5 - 77 = 3*g. What is the remainder when o is divided by l?
20
Let n(u) = 12*u + 23. What is the remainder when 86 is divided by n(-1)?
9
Suppose -5*z = 7*t - 10*t - 90, -4*z = 5*t - 35. What is the remainder when 201 is divided by z?
6
Let f(w) = -21*w - 5. Suppose -3*z + 1 = 10. Let v = 4 - -11. What is the remainder when f(z) is divided by v?
13
Let c = 523 + -290. What is the remainder when c is divided by 26?
25
Suppose 496 = 69*w - 61*w. What is the remainder when 91 is divided by w?
29
Let i be (54 + 5/5)*3. Let r = i - 112. Calculate the remainder when r is divided by 28.
25
Suppose 0 = 3*m - 4 + 25. Let r = m - -23. What is the remainder when ((-6)/(-9))/(4/186) is divided by r?
15
Suppose 4*p = 40 - 0. Let z be 2 - 1 - (-5 + p). Calculate the remainder when (98/z)/((-3)/6) is divided by 17.
15
Suppose -51*z = -48*z - 378. Calculate the remainder when z is divided by 37.
15
Suppose 0 = 5*j + 3*g - 95, -2*j - g = -4*g - 38. Let v = -190 - -260. Calculate the remainder when v is divided by j.
13
Suppose -1 = 3*j + 5, 4*j = -i - 2. Let v(h) be the first derivative of h**2/2 + 6*h - 4. Calculate the remainder when 32 is divided by v(i).
8
Let k(u) = -55*u - 113. Calculate the remainder when k(-10) is divided by 88.
85
Suppose 0 = f + 5*a - 27, 5*a - 14 = f - 1. Calculate the remainder when 34 is divided by f.
6
Let q(t) = -2*t + 3*t - 4*t + 2*t**2. Let n(i) = -i**3 + 8*i**2 - 15*i - 7. Let c be n(4). What is the remainder when q(c) is divided by 7?
6
Suppose -3*f + 20 = -2*f. Let u = 1156 + -1149. Calculate the remainder when f is divided by u.
6
Let i be 2*(-2)/4*1. Let c = 31 - 15. What is the remainder when i + 5/(20/256) is divided by c?
15
Suppose 2*b - 7*l + 3*l - 682 = 0, 3*l = -5*b + 1692. What is the remainder when b is divided by 10?
9
Suppose -12*z = 5*x - 7*z - 400, 68 = x + 5*z. What is the remainder when x is divided by 27?
2
Suppose 728 = 3*g - 412. Suppose q - g = -4*q. What is the remainder when q is divided by 4 - (0 - -3) - -25?
24
Calculate the remainder when (106/(-6))/(3 - (-20)/(-6)) is divided by 8.
5
Let n be 13/3 - (-2)/3. Calculate the remainder when n*((-42)/(-10) + 1) is divided by 35/4 - (-48)/192.
8
Let t(r) = 6*r**2 - 13*r - 44. Calculate the remainder when 373 is divided by t(6).
91
Suppose -25 = k - 2*j, 2*k - 7*k = -j + 80. Calculate the remainder when 35 is divided by ((-24)/k)/(8/60).
11
Calculate the remainder when 6/63*7*-1*-1347 is divided by 3.
1
Let c(b) = 9*b - 3*b**2 + 11*b**2 - 10*b**2. Let a be c(9). Calculate the remainder when 78 is divided by (3/9)/((-1)/a).
24
Suppose 3*v + 42 = 3*p, p + 4*v - 106 = -4*p. Let o(b) = -b**2 - b + 2. Let q be o(0). Suppose q*w = -2*w + 20. Calculate the remainder when p is divided by w.
3
Let x(l) be the third derivative of -l**6/120 - l**5/10 - l**3 - 5*l**2. Let m be x(-6). Calculate the remainder when 19 is divided by (m/9)/(2/(-33)).
8
Suppose -718 = -5*q - 63. Suppose -3*p - 2*k + 63 = -6*k, -5*p = 2*k - q. What is the remainder when 99 is divided by p?
24
Suppose -44*n + 2759 = -453. Calculate the remainder when n is divided by 55.
18
Let z(p) = 11*p**2 + 16*p + 205. What is the remainder when z(-7) is divided by 106?
102
Let o be (-9)/(-21) + (-72)/21. What is the remainder when 58 is divided by 1*o + 36/2?
13
Suppose -v = 3*h - 72, v = -5 + 2. What is the remainder when 56 is divided by h?
6
Suppose -403 - 693 = -8*n. Calculate the remainder when n is divided by 62.
13
Let c(w) = -26*w + 13. Let f be c(1). Let i(v) = -v**3 - 12*v**2 + 11*v - 3. What is the remainder when 38 is divided by i(f)?
15
Let d be 102/14 - 10/35 - 4. Calculate the remainder when (-39 + 9)*d/(-5) is divided by 4.
2
Let n = 2009 - 1575. Calculate the remainder when n is divided by 23.
20
Suppose 35*w = 52*w - 425. What is the remainder when 44 is divided by w?
19
Let s = 121 + -85. Calculate the remainder when s is divided by 19.
17
Calculate the remainder when (-4 - -5)*69*(-40)/(-15) is divided by 92.
0
Let c(k) = -14*k + 512. What is the remainder when 31 is divided by c(36)?
7
Suppose 670 = 25*p + 42*p. Calculate the remainder when 10 is divided by p.
0
Let v = -6 - -26. Suppose -23 = -8*s + 1. Suppose -s*r = r - 308. Calculate the remainder when r is divided by v.
17
Let r(x) = 18*x + 25 - x**2 + 4*x**2 - 2*x**2. Calculate the remainder when 15 is divided by r(-17).
7
Let h be 3030/18 - (-2)/(-6). Suppose -2*o - 38 = h. Let c = -52 - o. Calculate the remainder when c is divided by 18.
15
Let x(q) = -67*q - 280. Calculate the remainder when 123 is divided by x(-5).
13
Let t(l) be the second derivative of 5*l - 9/2*l**2 + 1/12*l**4 - l**3 + 0. Calculate the remainder when t(8) is divided by 4.
3
Let w(p) = 0*p - 4*p + 2*p - p**3 + 4*p + p**2 + 24. Calculate the remainder when w(0) is divided by 13.
11
Let t = -46 - -43. Calculate the remainder when 77 is divided by ((-10)/(-35))/(t/(-28))*6.
13
Suppose 2*b = 0, f + b = -2*b + 31. Calculate the remainder when 61 is divided by f.
30
Suppose 0 = 2*v + 5*g - 7, -38 = -v - 3*v - 2*g. Suppose 0 = -5*q - 2*q + 2877. Suppose -c - 405 = -q. What is the remainder when v is divided by c?
5
Suppose r = -4*r + 215. Suppose -16*i + 17*i = -5*t + 839, 0 = 5*i - 20. What is the remainder when t is divided by r?
38
Let f(g) = -2*g - 1. Let l be f(-5). Suppose 0 = -b - 3*a + 29, 0 = 5*b + 4*a - 81 - l. Calculate the remainder when 27 is divided by b.
13
Suppose 5 = 18*q - 427. What is the remainder when 160 is divided by q?
16
Suppose 9*m = 14*m - 620. Calculate the remainder when m is divided by 32.
28
Suppose -2193 = -5*g - 3*w, 2*g - 871 = 32*w - 27*w. Calculate the remainder when g is divided by 55.
53
Let q(v) = -5*v -