. What is the remainder when b is divided by -5*(77/(-3*(-45)/(-27)) - -8)?
30
Let u(a) = 3*a**2 + 288*a + 1004. Calculate the remainder when u(-94) is divided by 41.
30
Suppose -211 = 4*t - 3651. Calculate the remainder when t is divided by 139.
26
Let z = 5025 - 4886. What is the remainder when 562 is divided by z?
6
Suppose -5*o + 11*s + 6032 = 0, 0 = o - 15*s + 14*s - 1210. Calculate the remainder when o is divided by 38.
35
Suppose -19*q - 72 = -16*q. Let d(a) = a**3 + 25*a**2 + 25*a + 33. Calculate the remainder when 43 is divided by d(q).
7
Let n = -1957 - -2074. Calculate the remainder when 692 is divided by n.
107
Suppose 5*n = -z - 71 + 198, 5*n + 408 = 4*z. What is the remainder when z is divided by (-4 - 4)*(-6)/((-24)/(-17))?
5
Let f = 96 + -52. Let k = -41 + f. Calculate the remainder when 6 is divided by 5/5 + 0 + k.
2
Suppose -t = 5*w + 8, -10*t - 2*w + 6 = -5*t. Suppose 4*g = 16, 2*g + 11 + 7 = t*z. Calculate the remainder when 42 is divided by z.
3
Let j(m) be the third derivative of -m**6/40 - m**5/12 - m**4/6 - 7*m**3/6 + m**2. Suppose -11 = -2*f + 3. What is the remainder when j(-3) is divided by f?
6
Suppose -5*x - 3*d = -5118, -6*d - 20 = -d. Suppose 231 = -5*v + x. What is the remainder when v is divided by 20?
19
Let l(s) = s**3 - 13*s**2 - 17*s - 36. Let u be l(15). Suppose u + 153 = 8*q. What is the remainder when 77 is divided by q?
38
Suppose 151*m = 14773 + 12709. Calculate the remainder when m is divided by 44.
6
Suppose -2*f - 2*w = 207 + 99, 3*f - 4*w = -480. Let h = f + 256. What is the remainder when h is divided by 36?
28
Suppose 15 = 4*k + 3*z, 2*k + 5*z = 23 + 2. Suppose k*g - 6*g = 0. Suppose g*t - t + 14 = 0. Calculate the remainder when 41 is divided by t.
13
Let g(l) = -1. Let h(t) = 24*t - 348. Let y(n) = 3*g(n) + h(n). What is the remainder when 69 is divided by y(15)?
6
Let r(i) = 157*i - 287. Calculate the remainder when 428 is divided by r(2).
23
Let f = 141 + 307. Let j = 538 - f. What is the remainder when j is divided by 27?
9
Suppose 114*t - 6*t - 46988 = -6920. What is the remainder when t is divided by 55?
41
Let k = 25 + -25. Suppose 3*i + 72 = 3*w, k*w - w - 3*i + 20 = 0. What is the remainder when w is divided by 12?
11
Let s = 60 + -55. Let d be ((-6)/(-3))/(-2)*(s - 18). Suppose 900 = d*g + 2*g. Calculate the remainder when g is divided by 31.
29
Suppose 0*a = 7*a - 399. Let t(p) = -p**3 - 29*p**2 - 4*p - 86. Calculate the remainder when a is divided by t(-29).
27
Let n = 514 + -549. Let s(d) = -10*d - 284. What is the remainder when 591 is divided by s(n)?
63
Suppose 3*c - 32 = -d, 15*c - 139 = -4*d + 14*c. Suppose 2*l = -h + 58, -5*l - 103 + 10 = -h. What is the remainder when h is divided by d?
33
Suppose -n + 4*z = -2*n + 33, -2*n = z - 80. Let f = n + -10. Calculate the remainder when 117 is divided by f.
24
Suppose -2*j + 18 = 0, -73 = -b + 112*j - 110*j. Calculate the remainder when 1951 is divided by b.
40
Let h = 1675 - 1572. What is the remainder when 401 is divided by h?
92
Calculate the remainder when 1152 is divided by -7*(-2 + (-4 - -1)).
32
Let z be ((-3)/(-1*3))/(9/720). Let l be 14/5 - (-16)/z. Suppose p + 3*p = -5*a + 33, -l*p = -2*a - 19. What is the remainder when 68 is divided by p?
5
Calculate the remainder when (1 + -3)/(((-21)/(-63))/((-1244)/12)) is divided by 180.
82
Let n(t) = 32*t - 113. Let q = -797 - -802. Calculate the remainder when 276 is divided by n(q).
41
Suppose 2*j = 29*j - 27. Let o(z) = 47*z - 17. What is the remainder when o(j) is divided by 10?
0
Let g = -9143 + 9683. What is the remainder when g is divided by 116?
76
Let k = -26 + 1. Let p(t) = t**2 + 24*t + 46. What is the remainder when p(k) is divided by 36?
35
Suppose -2*o + 6*c + 26 = 4*c, 4*c = 5*o - 62. What is the remainder when 718 is divided by o?
8
Suppose -6*r - 20*r - 936 = 0. Let m(d) = -d**2 + d + 57. What is the remainder when m(0) is divided by 390/25 + (r/(-15))/6?
9
Let f(u) = u**3 - 9*u**2 + 17*u + 83. Let c be f(-7). What is the remainder when 125 is divided by c/246*24/(-10)?
5
Let c(p) = -p**2 + 5*p + 5. Let s be c(6). Let n(t) = 10*t - 103*t + 1 + 59*t. Calculate the remainder when n(s) is divided by 12.
11
What is the remainder when 2 + 7 + 16/((-160)/(-790)) is divided by 85?
3
Let m = 2108 - 1168. Suppose m = 7*z - 2*z. Suppose -9*a + z + 199 = 0. Calculate the remainder when a is divided by 11.
10
Calculate the remainder when ((-99)/(-2))/((-299)/46 + 7) is divided by 64.
35
Suppose -3*k + 0*g = -3*g - 24, -g + 24 = 3*k. What is the remainder when 3*(-36)/(-4) + 10 + -8 is divided by k?
5
Let d = -34 + 37. Suppose n + d = 2*n. Suppose -4*f + 5*f - 39 = 4*i, -5*i = n*f - 134. What is the remainder when f is divided by 15?
13
Let h = 3767 - 3197. What is the remainder when h is divided by 18?
12
Suppose s + 5*z = -15, -3*z - 11 = -2*s + 11. What is the remainder when 25 is divided by s?
0
Let s = 37 - 3. Let k = 82381 - 82267. What is the remainder when k is divided by s?
12
Let i(c) = -4*c - 7 + 16 + 17 + 39 - c**2. What is the remainder when i(0) is divided by 14?
9
Let i be ((-22)/(-3) - 2)*3. Suppose x - i = 119. Let h(y) = 2*y**3 + 19*y**2 - 47. Calculate the remainder when x is divided by h(-9).
33
Let h(b) = -b**3 - 12*b + 480*b**2 - 491*b**2 + 24 - 8. What is the remainder when 206 is divided by h(-10)?
26
Let x(y) = -4 - 19*y**2 - 4*y**2 + 21*y**2 - 7 - 26*y. Calculate the remainder when 50 is divided by x(-12).
11
Let l = -16163 - -16192. Calculate the remainder when 281 is divided by l.
20
Let x be (-5)/(-1)*5*2. Suppose 3*f + x = 2*h, -4*h + 3*f = -h - 75. Suppose -37*p - 478 = -3035 - 70. Calculate the remainder when p is divided by h.
21
Let s = 14 - -4. Let t(p) = 24*p**3 + 2*p**2 + 4*p - 1. Let g be t(3). Suppose g = 29*b - 309. Calculate the remainder when b is divided by s.
16
Let k = -214 + 231. Suppose 14*a + 152 = k*a + 5*y, 72 = 2*a - 4*y. Calculate the remainder when a is divided by 35.
9
Let u = -151 + -14. Let x = -151 - u. Let w(d) = d + 27. Calculate the remainder when w(0) is divided by x.
13
Suppose 2*b = 2*r - 14, 0 = b + 4*b + 10. Let y be (2/r + 0)/(16/160). Suppose -y*s - 14 = -110. What is the remainder when s is divided by 15?
9
Let r(w) = -514*w - 22. Let d = -351 + 350. What is the remainder when r(d) is divided by 33?
30
Suppose -224*m + 264*m - 121360 = 0. What is the remainder when m is divided by 12?
10
Suppose -3*q = -3*x + 147, 193 + 48 = 5*x - 7*q. What is the remainder when x is divided by 13?
12
Let l(n) = 4*n**3 - 67*n**2 - 251*n + 35. Let f(c) = 5*c - 2. What is the remainder when l(20) is divided by f(4)?
17
Suppose 2*r = 8, 8*q - 7*q + 3*r = 9. Calculate the remainder when 388 + 156/(-117)*q/2 is divided by 28.
26
Let i = 428 - 385. Suppose -3*y = 2*m - 35, 2*m + 5*y = -17 + 62. Suppose 0 = -9*s + 7*s + m. What is the remainder when i is divided by s?
3
Let k(b) = -42*b + 274. Let i(o) = 82*o - 550. Let y(n) = -2*i(n) - 5*k(n). What is the remainder when 99 is divided by y(7)?
47
Let n = 19611 - 19561. What is the remainder when 1570 is divided by n?
20
Let n = 10 - 16. Let f(b) be the second derivative of b**4/12 + 2*b**3/3 + b**2 + 6*b + 12. Calculate the remainder when 41 is divided by f(n).
13
Let a = -228 - -425. Suppose 2*m + 47 = a. Calculate the remainder when m is divided by 38.
37
Suppose 2247 = 3*c - 5*a, -2*c - 791*a = -786*a - 1523. Calculate the remainder when c is divided by 21.
19
Let z(n) = 41*n**2 - 5*n + 2. Let g be z(-2). Let m = 191 - g. Calculate the remainder when 119 is divided by m.
14
Suppose 0 = 2*o + 4 - 10. Suppose -4*u = -20, -3*u - 87 = o*j - 414. Calculate the remainder when j is divided by 59.
45
Suppose 0 = -3*y + 9, 0*y = -3*u + 3*y. Suppose a + 1 = 14. Calculate the remainder when (-4)/(-3)*(a + (-5 - 2)) is divided by u.
2
Suppose -5*m = -2*x - 2651, 6*m + 4*x + 1054 = 8*m. Calculate the remainder when 1605 is divided by m.
12
Suppose 7*f - 6*f = 103. Let m = 34 - f. Let x = 74 + m. What is the remainder when 27 is divided by x?
2
What is the remainder when 0 + 8 + 7*(-212)/(-7) is divided by 30?
10
Let c = 1948 + -1909. Calculate the remainder when 709 is divided by c.
7
Suppose 4*r = -2*q + 18, -9 = -4*r - 0*q + q. Suppose 4*u = -2*y - 24, -5*y = -r*y - 2*u. What is the remain