when (-421 + 0 + 3)/((-19)/475) is divided by 52.
50
Calculate the remainder when (-6 - -5)/(107764/5672 + -19) is divided by 29.
26
Suppose -3*y - 4*l = -2*l - 21235, -2*l - 14140 = -2*y. Calculate the remainder when y is divided by 116.
115
Suppose -885 = 5*w - 165. Let y = -93 - -16. Let r = y - w. What is the remainder when r is divided by 14?
11
Let u(p) = -p**3 - 63*p**2 + 123*p - 109. What is the remainder when u(-65) is divided by 36?
22
Suppose -4*o - 15 + 14 = -25. Let z(h) = h**2. Let q be z(2). Calculate the remainder when ((-29)/q)/(1/(-4)) is divided by o.
5
Let m(l) = l**2 - 132*l - 1926. What is the remainder when 126 is divided by m(-14)?
8
Calculate the remainder when 999 is divided by (2160/(-50))/(3/(-15)) - (-30 - -29).
131
Suppose 755 + 2017 = 44*d. Let v = -81 - -101. Calculate the remainder when d is divided by v.
3
Let h(l) = l**3 - 245*l - 31. Calculate the remainder when h(-14) is divided by 181.
112
Let h be ((-60)/25)/(-3*8/300). Let b be ((-20)/h)/((-2)/(-3)). Let j(r) = 101*r**2 + 2*r + 4. Calculate the remainder when j(b) is divided by 35.
33
Suppose 7 - 15 = -4*m. Suppose -m*i - 58 = -c - 6*i, 0 = c + 3*i - 58. What is the remainder when 231 is divided by c?
57
Suppose -68 - 69 = -3*v - 2*x, v - 3*x - 64 = 0. What is the remainder when -1509*1/(-11) - (-486)/(-2673) is divided by v?
39
Let t(n) be the first derivative of 1/2*n**2 + 0*n + 24 + 1/4*n**4 + 0*n**3. Calculate the remainder when t(2) is divided by 4.
2
Let g = -578939 + 578993. Suppose 4*x + 5*a = 410, -5*a = -2*x + 179 + 41. Calculate the remainder when x is divided by g.
51
Suppose 14*f + 12*f + 377 - 8853 = 0. What is the remainder when f is divided by 59?
31
Let c = 67 + -59. Suppose 0 = 5*f - 2*j - 143, 10*f - 124 = 6*f + 4*j. Calculate the remainder when f is divided by c.
3
Let z = -23 - -32. Let j(b) = 5*b**2 + 25*b - 6. Let x be j(-6). Suppose -79 - 41 = -x*i. Calculate the remainder when z is divided by i.
4
Suppose -3*a - 4*z = -439, 6*a + 9*z = a + 727. What is the remainder when 741 is divided by a?
145
Suppose 2*i = 4*q - 156, -13*q + 9*q + 3*i + 152 = 0. Let x(p) = 9*p + 25. What is the remainder when x(12) is divided by q?
10
Let c(p) = 74*p**2 - p. What is the remainder when c(1) is divided by 19/(24/88 - (-24)/33)?
16
Let u = 7131 + -6957. What is the remainder when 832 is divided by u?
136
Let o(f) = -15*f**2 + 27*f + 16*f**2 + 5 - 6 - 1. Calculate the remainder when o(-32) is divided by 41.
35
What is the remainder when 686 is divided by (18 - (-5 - -5)) + (-10)/(-25)*-10?
0
What is the remainder when (7 - 24) + 263 + -13 is divided by 80?
73
Let o be (-5)/((-8)/(-144)*9). Calculate the remainder when 57 is divided by (-5)/((50/o)/20).
17
What is the remainder when 2966 is divided by ((-96)/12)/(-6 - 96/(-18))?
2
Suppose -72*i + 70*i - 42 = -x, 2*x + 2*i - 96 = 0. What is the remainder when 629 is divided by x?
31
Let j = -18 + 32. Suppose 0 = -w - w - j. Let q = w - -46. Calculate the remainder when q is divided by 20.
19
Suppose 0 = -29*d - 33*d + 67*d - 7965. Calculate the remainder when d is divided by 46.
29
Let v = 234 + -148. Let y = 703 - 364. What is the remainder when y is divided by v?
81
Suppose -224451 = 57*f - 220*f. Calculate the remainder when f is divided by 459.
0
Let f = -108 + 74. Let j = 40 + f. What is the remainder when (-94)/(-4) - (-1 - 3/j) is divided by 7?
4
Suppose 195*q - 66 = 193*q. Suppose -5*a + q = 3*u - 340, -215 = -3*a - 4*u. Calculate the remainder when a is divided by 35.
7
Let d = 223 - -297. Suppose -2*a - d = 3*a. Let f = a - -186. What is the remainder when f is divided by 29?
24
Let l(g) = 3*g + 1. Let b be 1 + (-3)/2 + 78411/(-118). Let m = -592 - b. Calculate the remainder when m is divided by l(6).
16
Suppose -k - 3*k + 52 = 2*m, 4*m + k - 97 = 0. What is the remainder when 5421 is divided by m?
21
Suppose -5*f + x + 6062 = 0, -50*x - 2460 = -2*f - 54*x. Calculate the remainder when f is divided by 93.
5
Suppose 0 = 12*k - 247 - 173. Suppose 91*f + k = 96*f. What is the remainder when 223 is divided by f?
6
Suppose 1220 = 5*h + 3*q, 3*h + 105 = -q + 833. What is the remainder when 759 is divided by h?
36
Let m = -2997 - -3393. Calculate the remainder when m is divided by 110.
66
Suppose -3*x - 7*w + 3*w = -50, -x + 16 = 2*w. Suppose 9*j = 4*j + 60. What is the remainder when 1058/x + (-34)/(-153) is divided by j?
11
Suppose -7*o + 1089 = -13913 - 11843. Calculate the remainder when o is divided by 101.
98
Suppose 456*c - 858*c = -426*c + 2856. Calculate the remainder when 343 is divided by c.
105
Suppose d + 4*b - 31 = 0, -6*d = -9*d - 5*b + 86. What is the remainder when 401 is divided by d?
23
What is the remainder when 31/(-10) + 3 + 10262/20 is divided by 13?
6
Calculate the remainder when 545 is divided by (-273)/(-5)*(-1280)/(-384).
181
Let y(r) = 8*r - 30. Let t = -232 - -255. What is the remainder when y(t) is divided by 54?
46
Let l(j) be the first derivative of -j**3/3 + 154*j + 18. What is the remainder when l(0) is divided by 39?
37
Let n(k) = -74*k - 217. Suppose -2*m - m + 120 = 0. What is the remainder when n(-4) is divided by m?
39
Suppose -r - 44 + 304 = 3*h, 2*r = -h + 95. What is the remainder when 187 is divided by h?
17
Suppose -1440*c + 660*c + 716*c + 1649536 = 0. Calculate the remainder when c is divided by 48.
46
Let m = 459 - 456. Suppose 179 = 3*s + 2*n, 135 = 3*s - m*n - 69. What is the remainder when 179 is divided by s?
53
Suppose 36*n - 4*j - 8436 = 34*n, n - 4215 = j. Calculate the remainder when n is divided by 86.
84
Suppose 3*b - 3*m - 15 = 0, -10*m + 5*m = -2*b + 22. Let k(y) be the second derivative of 27*y**3/2 - y. What is the remainder when k(b) is divided by 17?
13
Let i(o) = 24*o**2 + 52*o - 227. What is the remainder when i(4) is divided by 74?
69
Suppose -14*b = 1391 - 2343. What is the remainder when 482 is divided by b?
6
Let j(r) = 42*r**2 - 12*r + 68. Calculate the remainder when j(-5) is divided by 410.
358
Let j be 0 + 208/4 + 1. Suppose 8*v + j = 717. Calculate the remainder when 329 is divided by v.
80
Suppose 6*a - 18 = 18. Suppose a*t - 5*t = 14. Suppose 20*r = t*r + 426. Calculate the remainder when r is divided by 19.
14
Let x(f) = -9*f**3 - 2*f**2 - 5*f + 1. Suppose -46 = 14*y - 18. What is the remainder when x(y) is divided by 11?
9
Calculate the remainder when (-64)/(-48) + 495650/30 is divided by 34.
33
Let m = -90 + 424. Let d(x) = 2*x**2 + 13*x - 11. What is the remainder when m is divided by d(-8)?
9
Let v = 4851 - 4715. What is the remainder when 194 is divided by v?
58
Let o(y) = -73*y - 382. Calculate the remainder when o(-11) is divided by 27.
16
Let s(t) = 7*t - 3. Let l = -20439 - -20505. What is the remainder when l is divided by s(2)?
0
Suppose 110 = 17*v - 6*v. Suppose -182 = -v*k + 158. What is the remainder when 200 is divided by k?
30
Let m = -173 + 178. Suppose -10*g + 576 = -7*g. Suppose -3*j + g = 5*j. What is the remainder when j is divided by m?
4
Let v = -6049 + 6063. Calculate the remainder when 628 is divided by v.
12
Suppose -3*h - 15 = 0, -2*q - 1280*h + 120 = -1278*h. What is the remainder when 4404 is divided by q?
49
Suppose 2*y - 2*x - 28 = -0*y, -5*y + 84 = 2*x. Let u = 14378 + -14253. Calculate the remainder when u is divided by y.
13
Suppose -x = 2*n - 70, -8*n = -577*x + 574*x - 322. What is the remainder when 285 is divided by n?
19
Let b(c) = -22*c**3 + c**2 + c + 1. Let t(z) be the first derivative of -5*z**2/2 - 46*z - 16. What is the remainder when t(-27) is divided by b(-1)?
20
Suppose -74*f = -124*f + 2550. Calculate the remainder when f is divided by 18.
15
Let l(m) = 3160*m - 3145. Let h(i) = 4*i - 1. Let y be h(4). Let k = y + -6. What is the remainder when l(1) is divided by k?
6
Let n(x) = 5*x - 20. Let o = 226 - 215. Calculate the remainder when 104 is divided by n(o).
34
Let g(c) = c**3 - 14*c**2 - 24*c + 11. Let u be g(16). Suppose 62 = 3*b - u. Suppose -267 = -10*j - b. What is the remainder when j is divided by 11?
9
Calculate the remainder when 1032 is divided by 26 - 5 - (-48 - -41).
24
Let v(t) = 323*t + 5824. Calculate the remainder when 355 is divided by v(-18).
5
Let l = -864 - -906. What is the remainder when l is divided by 18?
6
Let x = 30 + -29. Let j = 19 - x. Le