Suppose -3*s = -2*p - 45 - 34, 2*s - 48 = -p. Let c(k) = -68*k + 624. What is the remainder when c(7) is divided by s?
23
Suppose d + 2*w - 8 = 3*d, w = -2*d + 7. Let i = -329 - -246. Let h = 93 + i. Calculate the remainder when h is divided by d.
0
Suppose 0 = -3*b + d + 199, b = 5*b - 4*d - 260. Let m be 2/(4 - 5) + -113. Let h = -108 - m. What is the remainder when b is divided by h?
4
Suppose -20*q = 6*q + 982 - 7170. Calculate the remainder when q is divided by 79.
1
Suppose -n = y + y - 84, -4*y = -4*n - 156. Let f(o) = 19 + y + 6*o - 5*o. What is the remainder when f(-11) is divided by 13?
10
Suppose -389*y - 332*y + 600 = -521*y. Calculate the remainder when (0/(-1))/(-1) + 5 is divided by y.
2
Let k(r) = 509*r - 1222. Calculate the remainder when k(9) is divided by 120.
119
Suppose 7*n = 14*n - 735. Suppose n*x - 3248 = 97*x. What is the remainder when x is divided by 37?
36
Let p = 52 - 18. Suppose -z + p = 4*h, -2*h - 148 = -3*z - 2*z. Let j = -5 + z. Calculate the remainder when j is divided by 9.
7
Let k = -17452 + 18330. Calculate the remainder when k is divided by 79.
9
Suppose -2*s + 42 = 19*s. Suppose -5*d = -s*d - 702. What is the remainder when 562/18 + (-52)/d is divided by 17?
14
Let h(f) be the second derivative of f**5/20 + f**4/6 - 4*f**3 - 3*f**2 - 30*f - 2. Calculate the remainder when 438 is divided by h(5).
46
Let y(m) = -16*m**2 + m - 2. Let d be y(4). Let g = -134 - d. What is the remainder when g is divided by 41?
38
Suppose 6515 + 8346 = 4*m + 189*m. Calculate the remainder when 394 is divided by m.
9
Let t(d) = -2*d**3 - 2*d**2 - 2*d + 1. Let n be t(-2). Suppose -14*z + n*z - 2 = 0. Let f(c) = 2*c**2 + c - 2. What is the remainder when 14 is divided by f(z)?
2
Suppose 3*o - 7 = 8. Let d(m) = m**2 - 37*m - 160. Let y be d(-4). Suppose -o*l - 4*n - n = 0, -2 = -y*l - 3*n. What is the remainder when l is divided by 1?
0
Let z = 67 + 28. Let f = z + -44. Suppose -4*u + f = -61. What is the remainder when u is divided by 10?
8
Let o = -729 + 735. Suppose -2*y = -0*y - 5*n - 29, -5*y = -n - 15. Let u(k) = k**3 - k**2 - k + 2. What is the remainder when o is divided by u(y)?
2
Suppose 62094 = -15*y + 63339. Calculate the remainder when 496 is divided by y.
81
Suppose 0 = 4*a - 8*a + 24. Let c be (5 - 3)/(-3 - -4). Suppose v + 7 = y, -4*y - v + 56 = c*v. What is the remainder when y is divided by a?
5
Suppose 86*n - 153*n + 31423 = 0. Calculate the remainder when n is divided by 64.
21
What is the remainder when 2274 + -10 + 20 + -38 is divided by 8?
6
Suppose -11*p = 4*l - 14*p - 539, 4*l + 5*p = 563. Calculate the remainder when l is divided by 18.
11
Let x be 3/9 + (-232)/(-24). Let s = 43 - x. Suppose 0 = -3*l - 2*w + 17, -l = -w - 10 - 4. Calculate the remainder when s is divided by l.
6
Let f(w) = -7*w + 84. Let s be f(11). Let x(a) = 2*a**2 - 8*a - 31. Calculate the remainder when 127 is divided by x(s).
6
Let o = 227 + 368. Let h = 1191 - 1168. Calculate the remainder when o is divided by h.
20
Let l(i) = 45*i**2 + 97*i + 2868. What is the remainder when l(-21) is divided by 29?
28
Suppose 3*l - 7*l + 16 = 0. Suppose l*c + 46 = 8*c - 3*k, -4*k - 38 = -3*c. Calculate the remainder when c is divided by 4.
2
Let c(v) = -10*v**2 - 254*v - 16. What is the remainder when 3358 is divided by c(-25)?
82
Let q = 88 - -110. Let i = -192 + q. What is the remainder when 12 is divided by i?
0
Suppose s + s - 10 = 0. Suppose 5*c - 61 = 4*j, -j = 7*c - s*c - 27. Let d(a) = 66*a + 933. What is the remainder when c is divided by d(-14)?
4
Let m(y) = 7*y - 1 + 13 - 4*y - 12*y + y**2. Let z be m(8). Suppose -42 = -5*k - z*d, -29 = -4*k + 4*d + 19. Calculate the remainder when 30 is divided by k.
0
Let u be 0 - -2 - (-9 - 2136)/15. Let r = u - 134. Calculate the remainder when 185 is divided by r.
9
Suppose -156 = -z + 4*z + 3*l, -94 = 2*z + 4*l. What is the remainder when 27 is divided by z/(-9) - (20/6 + -3)?
3
Suppose 2*s + 112*u - 113*u - 502 = 0, 2*u - 4 = 0. Calculate the remainder when s is divided by 28.
0
Suppose -3*q + 381 = -4*g, g + 283 + 98 = 3*q. Suppose 4*r = q - 3. Calculate the remainder when 587 is divided by r.
29
Let g(y) = 89*y**3 - 180*y**3 + 3*y**2 - 2*y**2 + 92*y**3 + 1. Let a be g(-3). Let n = 35 + a. Calculate the remainder when 106 is divided by n.
16
Suppose 0 = 29*z + 4*y - 3356, -2*z = -3*z - 2*y + 112. What is the remainder when 459 is divided by z?
111
Suppose -4*t + 1423 = -w, 5*t - 410 - 1380 = -w. Let v = 411 - t. Calculate the remainder when v is divided by 51.
3
Calculate the remainder when (42372/(-66))/((-2)/3) is divided by 88.
83
Let b = 823 - 501. Suppose -10*m + 3*m + b = 0. Calculate the remainder when 136 is divided by m.
44
Suppose -1795 = -25*t + 23*t + 2451. What is the remainder when t is divided by 24?
11
Calculate the remainder when 339 is divided by (-290 + 0)*((-72)/15)/8.
165
Suppose -127*t = -38*t - 890. Calculate the remainder when 398 is divided by t.
8
Let p = 20 - -115. Suppose 65 + p = 5*g. What is the remainder when 80 is divided by (g/3 - -2)/((-6)/(-9))?
11
Let u(g) = g**2 - 15*g - 69. Let a(x) = x**3 - 9*x**2 + 9*x - 14. Let y be a(8). Calculate the remainder when u(y) is divided by 20.
17
Suppose -5*g + 0*g + 305 = 0. Calculate the remainder when g is divided by 35/11 - (-1 + 117/99).
1
Calculate the remainder when (-932528)/(-2004) - 11/(-3) is divided by 69.
55
Let o be 57/(-2)*(-4 - 20/(-6)). Suppose o*i = 26*i - 49. Calculate the remainder when 54 is divided by i.
5
Let s(n) = 2*n**3 - 26*n**2 + 21*n + 34. Let x be s(12). Let j(u) = -2*u**3 - 4*u - 12. Calculate the remainder when j(x) is divided by (1 - -4) + (-2)/2.
0
Let h(p) = -p**2 + 7*p + 21. Let k be h(9). Suppose -4*d + 38 = -k*d. Suppose 17*r - 1017 = 8*r. What is the remainder when r is divided by d?
37
Calculate the remainder when (62/1)/(((-24)/(-41))/12) is divided by 14.
11
Let a = -8 + 5. Let f = 43 - a. Calculate the remainder when f is divided by 3*178/45 - (-80)/600.
10
Let t = -8549 - -8573. Calculate the remainder when 78 is divided by t.
6
Suppose -1 = -s, -56*s + 51*s - 46 = -t. What is the remainder when 1331 is divided by t?
5
Let p = 1183 - 1129. Suppose 95 = -2*f - 5*r, 3*r + 30 + 19 = -f. Calculate the remainder when p is divided by f/14*14/(-4).
4
Suppose 0 = 3*o - 3*f - 153, 6 = 31*f - 33*f. Calculate the remainder when 171 is divided by o.
27
Suppose -4*t = -4*v - 5*t + 2, -10 = -5*v - 5*t. Suppose 80*p - 88*p + 120 = v. Calculate the remainder when 72 is divided by p.
12
Suppose -45 = -i - 917*m + 921*m, 3*i - 2*m = 55. Let v(b) = 2*b**3 - b**2 - b - 2. What is the remainder when i is divided by v(2)?
5
Suppose t = 2*p - t - 16, -5*p - t = -22. Suppose -24 - 296 = -p*u. Calculate the remainder when u is divided by (11/3)/((-3)/(-9)).
9
Suppose d + 4*t - 630 + 608 = 0, 4*d = t + 37. Suppose -4*b - 134 = -2*l, 2*l = 3*l + 2*b - 47. Calculate the remainder when l is divided by d.
7
Let v(t) = -11*t**2 + t + 1. Let i be v(2). Let p = i + 80. Let q = 38343 - 38230. What is the remainder when q is divided by p?
35
What is the remainder when 155 is divided by ((-50)/(-3))/((-35)/(-315))?
5
Suppose 3*w - 5*f + 8*f - 33 = 0, 3*w - 3*f - 33 = 0. Let s be (-33)/11*(-94)/(-3). Let u = s - -191. Calculate the remainder when u is divided by w.
9
Let x(z) = 23*z**2 + 157*z - 132. What is the remainder when 270 is divided by x(-8)?
18
Let r = 175282 - 175225. What is the remainder when 166 - 0 - (1 - 2) is divided by r?
53
Suppose -13*j = 11*j - 11472. Let k = j + -463. What is the remainder when 42 is divided by k?
12
Suppose -4*n + 314 = -283*d + 284*d, -d = -n + 81. Calculate the remainder when 1184 is divided by n.
78
Let k(x) be the first derivative of 2*x - 5/2*x**2 + 4*x**3 + 32. What is the remainder when 43 is divided by k(1)?
7
Suppose 5*k = 51*c - 49*c + 27880, -3*c = 0. What is the remainder when k is divided by 11?
10
Suppose -2*s - 74 = -4*s. Suppose -2*n + 79 = s. Suppose -4*y + p + 198 = 0, -9*p + 6*p = -2*y + 104. What is the remainder when y is divided by n?
7
Suppose -195*o - 28747 + 157329 = 74*o. What is the remainder when 1440 is divided by o?
6
Suppose -73*d + 42*d = -43*d + 912. What is the remainder when 433 is divided by d?
53
Let v(k) be the third derivative of k**4/1