 + -16)/(5/(-65)).
37
Suppose 0 = 75*c - 66*c. Suppose c = -11*q + 1040 + 269. Calculate the remainder when q is divided by 14.
7
Let l be 48 - 5/((-5)/4). Suppose 4*u = 328 - l. Calculate the remainder when u is divided by 14.
13
Suppose -5*o = -5*w + 15, -4*o = -w + 5*w - 28. Suppose -55 = -w*y + 95. Calculate the remainder when 84 is divided by y.
24
Let z(f) be the first derivative of f**3/3 + 3*f**2/2 - 43*f + 28. Let h be z(-8). Calculate the remainder when 15 is divided by 5 - (h/(-12) - (-36)/(-16)).
1
Suppose -4*k = -2*f + 18, -59*f + 56*f = 2*k - 83. Calculate the remainder when 2391 is divided by f.
22
Let g(v) be the first derivative of 5*v**2/2 - v + 1. Suppose 64*t = 72592 - 72400. What is the remainder when g(1) is divided by t?
1
Let q = -11471 - -11755. Calculate the remainder when 611 is divided by q.
43
Let n = -24 + 53. Suppose -2*o + n = 5*z - 0*o, 5*z - 32 = -o. Let b(q) = q**3 + 17*q**2 - 5*q - 24. Calculate the remainder when b(-17) is divided by z.
5
Let f(s) = 2*s**2 + 9*s - 13. Let k(g) = g - 2. Let r(v) = f(v) - 3*k(v). Calculate the remainder when 94 is divided by r(2).
3
Let s = 574 + -516. Calculate the remainder when s is divided by 2/(-11) - 835/(-55).
13
Suppose 2*y + 3436 = -4*q, -8*q + 11*q + 2567 = y. Let k = -654 - q. What is the remainder when k is divided by 70?
63
Suppose 0 = -31*t - 22*t + 1325. What is the remainder when 180 is divided by t?
5
Let k(a) = -8*a + 387. Let p be 22/10 + (-5)/(-50)*-2. Suppose 5*l - 428 = -f, 3*f = -4*l + p*f + 343. Calculate the remainder when l is divided by k(43).
42
Suppose 28*w - 3350 = -1138. Calculate the remainder when 392 is divided by w.
76
Let c(n) = 3*n**3 - 7*n**2 - 9*n - 12. Let l be c(7). Let x = 669 - l. What is the remainder when x is divided by 9?
4
Suppose 22*k = 20*k + 10. Suppose k*u = -d + 9, 5*d - 5*u + 0*u - 45 = 0. What is the remainder when 69 is divided by d?
6
Suppose -20*l - 9*l + 1856 = 0. What is the remainder when 122 is divided by l?
58
Let x = -728 - -685. Let d = 253 - x. Calculate the remainder when d is divided by 99.
98
Suppose 4 = -c - 1, 5*s + 4*c = -30. What is the remainder when s/(-3) + (-14415)/(-45) is divided by 54?
51
Suppose 0 = 2*x + 11 - 159. Let z(p) = -192*p**2 - 8649*p - 39. What is the remainder when z(-45) is divided by x?
70
Suppose 0 = 17*p - 715 - 305. What is the remainder when 179 is divided by p?
59
Let f(u) = 35*u**2 - u + 6. Let w be f(2). Suppose 5*h + 5*d - 106 - 239 = 0, w = 2*h - 4*d. Let b = 79 - h. What is the remainder when b is divided by 5?
4
Let s be -641 - -3*20/15. Let n = -552 - s. What is the remainder when n is divided by 23?
16
Let s(u) = 23 + 47 + 4*u + 2*u - 17*u. Let a be s(19). Let i = a - -152. Calculate the remainder when 22 is divided by i.
9
Suppose 25 = -d - v + 31, -2*d + 3 = -v. Suppose -134 = -2*l + d*r, 0*l + l + 4*r = 89. What is the remainder when l is divided by -1*7*-3*1?
10
Let k = 7 + -4. What is the remainder when -1 + 30 - 92/(-299)*26 is divided by k?
1
Let g(c) = -c - 11. Let b be g(-13). Suppose h + 1 = 10. Calculate the remainder when (0 + b/(-3))/((-8)/744) is divided by h.
8
Suppose -y = 5*w + 604, 4*w = y + 393 + 238. Let f = y - -687. Let j = 34 + -16. Calculate the remainder when f is divided by j.
14
Suppose 2*s - 2*x = -4*x + 30, 85 = 5*s + 3*x. Let z = 29 - 33. Calculate the remainder when 111 is divided by 2/s*z - 142/(-5).
27
Let f(j) = 178*j - 171. Let r be f(-4). Let h = r - -983. What is the remainder when h is divided by 4?
0
Let l = -26627 + 26716. What is the remainder when 583 is divided by l?
49
Let j(b) = -b**3 + 4*b**2 + b - 12. Let g be j(4). Let i be 12/(-9)*(-1 - (-4)/g). Suppose 0 = -i*h - 31 + 45. What is the remainder when 41 is divided by h?
6
Suppose 3*d - 7*d = -208. Let p(t) = 7*t**2 - 6*t - 6. Calculate the remainder when p(-3) is divided by (-108)/(-24)*d/6.
36
Let v be (-15 + 15)*(-3)/(-3). Suppose 4*k - w + v*w - 1038 = 0, 6 = 3*w. Calculate the remainder when k is divided by 68.
56
Let b(v) = -2*v**3 - 2*v**2 + v - 6. Suppose -4*t = -4*p - 260, -5*t - 5*p + 108 + 167 = 0. Let i = 57 - t. Calculate the remainder when 105 is divided by b(i).
24
Let y(g) = 30*g + 2574. Calculate the remainder when 1140 is divided by y(-48).
6
Let d = 1169 - 1160. Calculate the remainder when 367 is divided by d.
7
Suppose 4*f - 1043 = 5*r, -57*r = f - 60*r - 266. What is the remainder when f is divided by (20/3)/((-3 - -2)/(-3))?
17
Let p(f) = -5*f + 23. Let d be p(-17). Suppose -3*x + 11*w = 8*w - d, 0 = 3*w - 15. Calculate the remainder when 58 is divided by x.
17
Let t = -1278 - -1792. Let p = t - 504. Calculate the remainder when 537 is divided by p.
7
Let c = -6957 + 7243. Let z = 44 - 8. Calculate the remainder when c is divided by z.
34
Let y(a) = -a - 7. Let i be y(0). Let x = i + 12. Suppose 24 = x*r - 41. Calculate the remainder when 45 is divided by r.
6
Suppose 0 = 153*m - 233*m + 13440. What is the remainder when m is divided by 153?
15
Let r = -300 + 303. Suppose r*i = 12, -w = -18*i + 16*i - 11. Calculate the remainder when 94 is divided by w.
18
Suppose 6*m + 770 = -52. Let a = 140 + m. Let k = 14 + -6. What is the remainder when k is divided by a?
2
Let l(v) = v**3 + 12*v**2 - 24*v - 27. Calculate the remainder when l(-12) is divided by 17.
6
Let o(v) = -v**2 + 42*v + 91. Let w be o(24). Suppose c = -441 + w. What is the remainder when c is divided by 12?
10
Suppose -d - 2016 = h - 3*h, -h = -5*d - 1017. Calculate the remainder when h is divided by 26.
19
Let m(d) = -2*d**2 + 112*d - 121. Let o(g) = -8*g + 12. Let j be o(-5). What is the remainder when m(j) is divided by 8?
7
Let b = 413 - 374. What is the remainder when 168 is divided by b?
12
Let i(h) = -h**3 - 13*h**2 + h + 21. Let k = -104 - -91. Calculate the remainder when 97 is divided by i(k).
1
Let m(a) be the first derivative of a**3 + 8*a**2 - 162. Calculate the remainder when m(-10) is divided by 51.
38
Let m(u) = -5*u**2 + 13*u - 34. Let y be m(10). Calculate the remainder when 6 + 7/((-28)/y) is divided by 27.
26
Calculate the remainder when 7094 is divided by (0 - 94/(-4))/((-57)/6 - -10).
44
Let p = 40 + -36. Suppose -5*r - 2*c = -388, 0 = r + p*c - 7*c - 64. Suppose g + r = 88. Calculate the remainder when 71 is divided by g.
11
Let d(o) = -o + 9. Suppose -4*k + 5*k - 9 = 0. Let n be d(k). Suppose n = -0*r - r + 108. What is the remainder when r is divided by 22?
20
Let l(y) = -y + 20. Let h be l(19). What is the remainder when 50 is divided by (h - 2)/(13/(-143))?
6
Let y be 914/26 - (-2)/(-13). Suppose 5*p - 65 = y. Suppose 46 = 6*f - p. Calculate the remainder when 75 is divided by f.
9
Let r(i) = -i**2 + 15*i - 4. Let n be r(15). Let t(a) = 16*a - 4. Let p be t(n). Let b = p + 158. Calculate the remainder when b is divided by 23.
21
Suppose 0 = -200*v - 66*v + 2660. What is the remainder when 227 is divided by v?
7
Let z(u) = 2*u**2 + 2*u**2 - 94 + 100 - 3*u. What is the remainder when 252 is divided by z(-3)?
48
Let t = 3 - -43. Let n(l) = -l**3 + 6*l**2 + 2*l. Let c(g) = 2*g**2 + 17*g + 14. Let p be c(-8). Calculate the remainder when t is divided by n(p).
10
Suppose -12 = -3*u, 5*o - 47 = u + 59. Calculate the remainder when (19 - (-23 + 40))*954/12 is divided by o.
5
Suppose 0 = -d + 5*g + 27, 16*d + 2*g = 11*d + 243. Suppose 88 = 9*f - d. What is the remainder when 73 is divided by f?
13
Let l = 5021 - 4985. Calculate the remainder when 252 is divided by l.
0
Let g(p) = 8*p**2 - 20*p - 6. Let l(q) = 3*q - 20. Let k be l(12). Let d = 17 + k. Calculate the remainder when g(5) is divided by d.
28
Let l be 2*3/((-12)/14). Let a be (-20)/(-5) + l - 1. What is the remainder when 41 is divided by a + (-7)/(14/(-36))?
13
Let x(a) = 2*a**2 - a - 3. Let f(c) = c + 22. Let o be f(-20). Let u be x(o). Let b = 70 - u. What is the remainder when b is divided by 17?
16
Let k be -1 + (-9)/3 + 3. What is the remainder when 98 is divided by (34 - k) + 8/(-4)?
32
What is the remainder when 2195 is divided by (-13)/3*2*(22 + (-423)/18)?
11
Suppose 5*n - 3*o - 361 = 0, 8*o - 154 = -2*n + 6*o. What is the remainder when n is divided by 25?
24
Let p = -20778 + 21052. Calculate the remainder when 1403 is divided by p.
33
Let g(d) = -d**3 + 116*d**2 - 442*d + 1078. Calculate the rema