p)/((-1)/22). Suppose -8*u = -v*u + 36. Calculate the remainder when 47 is divided by u.
11
Let q(d) = 2*d**3 + 73*d**2 - 44*d - 55. What is the remainder when q(-37) is divided by 19?
14
Let r(g) be the second derivative of -g**4/12 - g**3 - 3*g**2/2 + 30*g. Calculate the remainder when 22 is divided by r(-2).
2
Suppose 0 = -1486*z + 1529*z - 344. Calculate the remainder when 17798 is divided by z.
6
Let o be (33 - 28)*(-1 - 0). Suppose 0 = 11*z - 16*z + 110. What is the remainder when 969/15 - (135/(-25) - o) is divided by z?
21
Suppose 2*a - 6*a - 5*v - 33 = 0, 0 = -2*a - 4*v - 24. Let b = 2064 + -2057. What is the remainder when 23/46 - 81/a is divided by b?
6
Let q = 3101 - 2643. What is the remainder when q is divided by 22?
18
Let b(n) = 3*n + 18. Let y be b(-6). Let a(w) = 2*w + 32*w**2 + y + 1 - 9*w**2. Calculate the remainder when a(-1) is divided by 7.
1
Suppose 3*t = v - 2*v + 10, -t - 10 = 3*v. Suppose 2*h + t - 25 = 0. What is the remainder when 179 is divided by (-40)/7*(-35)/h?
19
Suppose -3*j + 858 = -4*f, 2*f - f - 1453 = -5*j. What is the remainder when j is divided by 42?
38
Suppose 8 = f - 4*r, 2*f = 4*r + r + 28. Let k = f + -28. Let m(p) = 5*p**2 + 8*p. What is the remainder when m(k) is divided by 7?
6
Let c = 21509 + -21464. Calculate the remainder when 2016 is divided by c.
36
Let r = 63 - 69. Let d = r - -64. Suppose -3*f - 13 = -d. Calculate the remainder when f is divided by 4.
3
Suppose -f = 3*f - 36. Suppose -28*d + 285 = 3*w - 24*d, 0 = 4*w + 4*d - 372. Calculate the remainder when w is divided by f.
6
Let n(k) = 5*k + 52. Let h be n(13). Let d = h - 115. Calculate the remainder when d/((-2)/40*-1) is divided by 21.
19
Suppose -473*a = -254*a - 257*a + 100966. What is the remainder when a is divided by 23?
12
Suppose 13*m + 18 = 5. Let f(b) = 24*b**2 + 5*b + 2. Calculate the remainder when 1509 is divided by f(m).
18
Suppose 4*q = -k + 7, 2*q = -5*k - q + 18. Suppose 0 = -308*w - 2364 + 23616. Calculate the remainder when w is divided by k.
0
Suppose -7*a + 5533 + 247 = -2739. Calculate the remainder when a is divided by 375.
92
Let p(n) = 1234*n - 86347. Let r(h) = h**3 + 3*h**2 - 2*h + 1. What is the remainder when r(5) is divided by p(70)?
26
What is the remainder when 14/(-35) - (9197/(-30) + 3/18) is divided by 132?
42
Suppose -4*p - 3*q = -3279, 2906 + 1184 = 5*p + 2*q. Suppose -5*o + f = -2*o - p, f + 270 = o. Calculate the remainder when o is divided by 46.
43
Let c(x) = -18*x + 93. Let k be c(5). Suppose k*z - 3*r - 311 = 2*r, 2*z = -4*r + 244. What is the remainder when z is divided by 25?
12
Suppose 4*q - 2*w - 63 = 887, -245 = -q + 2*w. Let k(v) = 115 + 118 - 9*v - q. What is the remainder when k(-3) is divided by 13?
12
Let n(g) = g**2 + 11*g + 21. Suppose -2*x - 32 = 2*x. Let t be n(x). Let a = t - -17. Calculate the remainder when 55 is divided by a.
13
Suppose -3*s - q - 316 = -6*s, -4*s + 5*q + 436 = 0. Calculate the remainder when s is divided by 2/(-7) - ((-363)/21 - 1).
14
Let f = 863 - 859. Let l(k) = 3 + 2*k - 3 + 1. What is the remainder when f is divided by l(1)?
1
Let f = -661 + 1102. Suppose 5*g - z = f, -4*z = -5*g + 257 + 187. Calculate the remainder when g is divided by 2.
0
Let d = 76 - -35. Suppose 132*x - 76 = -5*r + 131*x, -r + 20 = -x. Calculate the remainder when d is divided by r.
15
Let f be (-9)/((-54)/(-4))*-3 - -44. Suppose 0 = -f*y + 38*y + 64. Suppose -983 = -y*g + 505. What is the remainder when g is divided by 63?
60
Let o = -104 + 114. What is the remainder when 45 is divided by (-1)/(-2) + 8 + 35/o?
9
Let d = -10421 - -10427. Let z(c) = -3*c - 20. Let b(j) = 2*j + 21. Let m(f) = 4*b(f) + 3*z(f). Calculate the remainder when 71 is divided by m(d).
17
Let r(w) = w**3 - 11*w**2 + 31*w - 8. Let s be r(6). What is the remainder when 213 is divided by (5 - 4)*-1 + (-112)/s?
48
Let f = 6795 + -6641. What is the remainder when 12473 is divided by f?
153
What is the remainder when 186 is divided by (-280 - -1)*6/(-18)?
0
Suppose -2058 = -26*l - 524. What is the remainder when l is divided by (16/(-8))/(2/(-31))?
28
Suppose -2*o - v - 710 = 2*v, -o - 5*v = 355. Calculate the remainder when (o - (2 + -4))/(-1) is divided by 51.
47
Suppose -15*g - 659 + 10297 = 443. What is the remainder when g is divided by 169?
106
Let k(g) be the second derivative of 2*g**3/3 - 5*g**2 - 5*g. Let p be k(-15). Calculate the remainder when 13/(-39) - p/3 is divided by 13.
10
Suppose 7*c + 112 = -35. Let j be (3 - -2)*c/(-5). Suppose j*s = 17*s + 140. Calculate the remainder when s is divided by 19.
16
Let m = 21917 + -21676. What is the remainder when 3132 is divided by m?
240
Suppose a = w - 1209, 14*a - 17*a + 3579 = 3*w. What is the remainder when w is divided by 305?
286
Suppose 4*m = 3*m + j + 225, 4*j - 682 = -3*m. Calculate the remainder when m is divided by (-7461)/(-105) + 5 + (-238)/4165.
74
Let w(h) = 26*h + 1057. Calculate the remainder when 267 is divided by w(-39).
9
Let d(g) = g**2 - 21*g + 75. Let m be d(18). Let h(f) = 6*f + 2. Suppose 5*i - i = -x + 18, 5*i = 4*x - 114. What is the remainder when h(m) is divided by x?
24
Suppose -70 - 771 = -16*x + 215. Suppose -3*b - 12 = b. Calculate the remainder when x is divided by 23/(1/(-2 - b)).
20
Let f(y) = 233*y**2 + 104*y + 321. Calculate the remainder when f(-3) is divided by 31.
29
Let g(x) = -14*x - 269. What is the remainder when g(-27) is divided by -4 - (4 - (36 + 0))?
25
Suppose 4*n = 82 + 14. Suppose 191*q - 297 = 180*q. Let j(p) = -17*p + 578. What is the remainder when j(q) is divided by n?
23
Let x = 15886 - 15871. What is the remainder when 7274 is divided by x?
14
Let n = 242 + -236. Suppose -26*b + n*b + 680 = 0. Calculate the remainder when 126 is divided by b.
24
Suppose -2543 = -22*m + 406 + 4465. Calculate the remainder when m is divided by 17.
14
Let d be 5/20 - (606/(-8) + -3). Suppose -4*u + 37 = -d. Let p = u + -26. Calculate the remainder when p is divided by 1.
0
Suppose 8*c - 2*q - 83 = 7*c, -4*c - 11*q = -256. Calculate the remainder when 3222 is divided by c.
72
Let i = 2904 - 2537. What is the remainder when 1486 is divided by i?
18
Let u = 4687 + -4558. What is the remainder when 261 is divided by u?
3
Let r(n) = -n. Let k(o) = 8*o + 14. Let w(h) = 2*k(h) + 20*r(h). Let y be w(8). Calculate the remainder when 87/27 - y/(-18) is divided by 3.
0
Suppose -164 - 1236 = -7*p + 217. Calculate the remainder when p is divided by 152.
79
Let a(o) = -o + 38. Suppose 0 = -3*j + 25*j - 264. What is the remainder when a(j) is divided by 14?
12
Let t(d) = -d**2 - 18*d - 9. Let z be t(-18). Let h(n) = 3*n + 40. Calculate the remainder when 401 is divided by h(z).
11
Let u be 14/105 + (-2096)/(-30). Suppose u = -3*z + 259. Let f = -48 + z. Calculate the remainder when 53 is divided by f.
8
Let j(x) = -x + 5. Let v be j(3). Suppose v*d - 273 = b, 0 = 4*b - 8*b - 12. Calculate the remainder when d is divided by 34.
33
Suppose 0*n - 3*n - 3*f = -150, -3*n + 151 = 2*f. Let i = -48 + n. Calculate the remainder when 2 is divided by (8/(-20))/(-2*i/30).
0
Let h(l) = -l**2 + 3*l + 4. Let x be h(5). Suppose -44 + 24 = k - 16. Calculate the remainder when 59 is divided by ((-3)/(x/k))/(52/(-182)).
3
Suppose -9*a = -28*a + 665. What is the remainder when 734 is divided by a?
34
Suppose 26701 - 4051 = 25*z. What is the remainder when z is divided by 101?
98
Let c = 20369 + -20125. Calculate the remainder when 1275 is divided by c.
55
Suppose 0 = 795*k - 800*k - 935. Let v = 320 + k. Calculate the remainder when v is divided by 9.
7
Let t = -34 + 70. Let l = -25 + t. Calculate the remainder when l is divided by 8 - (8 + 3/(4 + -5)).
2
Suppose -f + 3*p + p = -16, 48 = 3*f - 2*p. Suppose -f*z = -12*z - 5*u - 82, -5*z + 3*u + 96 = 0. Calculate the remainder when 54 is divided by z.
0
Let r(l) = -13*l**3 - 14*l**2 - 42*l + 7. Calculate the remainder when r(-8) is divided by 142.
139
Suppose -22*j + 18*j + 16 = 0. Suppose j*t = -6 - 26. What is the remainder when 192 is divided by (1 - 27)/(t - 22/(-3))?
36
Let q = 10599 + -10569. Suppose -4 = n - 1, 2*n - 28 = -2*o. Calculate the remainder when q is divided by o.
13
Suppose 307*l + 3699 = 4*p + 304*l, 5*l - 35 = 0. What is the remainder when p is divided by 85?
80
Let i(v) = 3*v**2