the remainder when 519 is divided by (0 - (35/(-15) - -3))/((-18)/405)?
9
Suppose -33 = -11*y + 44. Calculate the remainder when 24 is divided by 13 - (-1 + (y - 6)).
11
Suppose -500 - 102 + 41 = -33*n. Calculate the remainder when 3072 is divided by n.
12
Suppose 841*p - 876*p = -9135. Calculate the remainder when p is divided by 89.
83
Let n = -9 - -11. Suppose n*z + z = 243. Let p = -252 - -280. Calculate the remainder when z is divided by p.
25
Let l(b) = 3*b**2 - 2. Let u = 0 + 3. Let k(n) = 2*n**3 + 32*n**2 + 93*n + 36. What is the remainder when k(-12) is divided by l(u)?
22
Suppose 3*l = 5*a - 190, 2*a = a - 2*l + 51. Let x(v) = v + 118. What is the remainder when x(3) is divided by a?
39
Let d = 28 - 19. Suppose r - 28 = -5*p, 4*r + p - d = 84. Let m(a) = a**3 + 3*a**2 - 8*a + 6. Calculate the remainder when m(4) is divided by r.
17
Let w(c) = -1246*c - 8422. What is the remainder when w(-14) is divided by 95?
92
Let f = -64 - -263. Suppose -12*g = -14*g + q + 74, 5*g - f = -q. Calculate the remainder when 153 is divided by g.
36
Let v(p) = -5*p + 3. Let s be v(2). Suppose 0*j - 24*j + 96 = -84 - 108. What is the remainder when (-495)/s + 4/14 is divided by j?
11
Let u = -1347 + 1393. Calculate the remainder when 243 is divided by u.
13
Let o(v) = 1153*v + 149. What is the remainder when o(1) is divided by 219?
207
Let k = -7350 - -9257. What is the remainder when k is divided by 191?
188
Let i(j) = 3*j**2 + 9*j - 22. Let y(c) = -c**2 + 12*c + 49. Let d be y(15). Calculate the remainder when 433 is divided by i(d).
61
Suppose -p + 27*p = -31*p + 138966. What is the remainder when p is divided by 122?
120
Suppose 0 = -19*x + 17*x - 4*p - 798, -3*x - p - 1192 = 0. Let c = x - -674. What is the remainder when c is divided by 31?
29
Let b = 219 - 227. Let a(j) = -9*j + 47. What is the remainder when a(b) is divided by 64?
55
Suppose -h = -7*h + 168. Suppose -32*m + h*m = -192. What is the remainder when 334 is divided by m?
46
Let n(h) = -5*h**2 - 13*h + 145. Let v be n(-16). Let x = v + 933. What is the remainder when 56 is divided by x?
2
Suppose 4*o + 53 + 45 = 5*l, -2*l + 49 = -3*o. Calculate the remainder when 11071 is divided by l.
11
Suppose -42*i - 5647 = -5*w - 46*i, -3*w - 5*i = -3370. Calculate the remainder when w is divided by 4.
3
Suppose -5*d + 5*w + 235 = 0, 134 = 5*d - 3*w - 107. Let q = d + -7. Let f = -16 - -38. What is the remainder when q is divided by f?
21
Calculate the remainder when 208 is divided by (-93)/(-3) + (1890/(-1710) - 2/(-19)).
28
Let h = 1328 - 951. What is the remainder when h is divided by 35?
27
Suppose -43471 - 14433 = -88*u. Calculate the remainder when u is divided by 65.
8
Let s(i) = -3182*i - 57269. Suppose -2*f - 5*b + 21 = 2*f, 0 = 2*b - 2. What is the remainder when (-2 - (2 + -9))*f is divided by s(-18)?
6
Suppose 2 = 2*b - b. Suppose -k - b*k = 0. Suppose -w - 118 = -3*r + w, -2*r - 3*w + 57 = k. Calculate the remainder when r is divided by 14.
8
Suppose -5*d = -4*m + 922, 230 = -4*m + 5*m - d. Let n = 339 - m. What is the remainder when n is divided by 8?
7
Suppose 362 = 12*m - 190. Calculate the remainder when 46 is divided by m.
0
Let h = 625 + -625. Suppose 0*o - 2*o - 88 = -v, h = 3*v + 3*o - 237. What is the remainder when 172 is divided by v?
8
Let c(x) = 12*x - 65. Calculate the remainder when c(13) is divided by (33/6 + -6)/((-1)/50).
16
Let u(p) = -p**2 + 10*p - 12. Let x be u(6). Suppose l + x*l = 143. Suppose -l*n + 104 = -413. Calculate the remainder when n is divided by 12.
11
Suppose -13*o + 1248 = 11*o - 8*o. What is the remainder when 374 is divided by o?
62
Suppose -4*z = -5*z - 4*m + 232, 1176 = 5*z + 4*m. Let p = -233 + z. Calculate the remainder when 40 is divided by p.
1
Suppose 4166 + 1900 - 546 = 48*f. Calculate the remainder when f is divided by 72.
43
Suppose -2*m + 551 = -5*h + 562, 5 = h + m. What is the remainder when 12 is divided by h?
0
Let u = -58 - -214. Let a = u - 82. Suppose -c - v = -39, 4*v + 186 = 7*c - 2*c. Calculate the remainder when a is divided by c.
36
Let g(k) = 179*k - 789. Calculate the remainder when 245 is divided by g(5).
33
Let u = -92 + 164. Suppose 341*q = 2246 + 2869. Calculate the remainder when u is divided by q.
12
Suppose -28 + 18 = 5*k. Calculate the remainder when 79 is divided by ((-174)/k)/(0 + 3).
21
Let d(r) = r**3 + 12*r**2 - 2*r - 26. Let g be d(-12). Calculate the remainder when 39 is divided by 696/44 + g - (-4)/22.
11
Let w = 417 + -377. Suppose -w*d + 3901 = -7579. What is the remainder when d is divided by 10?
7
Suppose -1037*h = -1014*h - 4715. Calculate the remainder when h is divided by 19.
15
Suppose -2*z = -4*z + 34. Suppose -16 = -5*n - 4*h, 2*h = 3*n - 3*h - z. Suppose 0 = n*y - 8 - 8. What is the remainder when 10 is divided by y?
2
Calculate the remainder when 252 is divided by 116 + (2 - (-7 - -10)*3/9).
18
Suppose -r + 11 = -1. Let y(g) = -1389*g - 8301. Calculate the remainder when y(-6) is divided by r.
9
Suppose 4*q - 195 = -38*x + 33*x, -75 = -2*x - q. What is the remainder when (-96)/(-40)*(-1220)/(-6) is divided by x?
33
Let u(p) = -170*p**2 - 9*p + 8. Let m be u(1). Let b = m + 259. What is the remainder when b is divided by 19?
12
Let k = 4025 + -3980. Calculate the remainder when k is divided by 20.
5
Let t(h) = 6*h - 16. Let u be t(3). What is the remainder when 67 is divided by -4*(9/(-6))/(u - -1)?
1
Let t = -8447 - -8604. What is the remainder when 311 is divided by t?
154
Let n(h) = 7*h**2 - 2*h + 1. Suppose 5*x - 43*x - 5329 + 7077 = 0. What is the remainder when x is divided by n(2)?
21
Suppose -12*s + 2545 + 8357 = 11*s. Calculate the remainder when s is divided by 125.
99
Let o(t) = t**2 - 10*t + 10. Let p(h) be the first derivative of -h**4/4 + 2*h**3/3 + h**2/2 + h + 273. Calculate the remainder when p(0) is divided by o(9).
0
Suppose 16 = u + 3*a - 11, -5*u + 4*a = -59. Suppose -4*t - 243 = -5*q - 6*t, 0 = 4*q + 5*t - 191. What is the remainder when q is divided by u?
4
What is the remainder when 689 is divided by ((-6)/4)/(((-54)/(-84))/((-120)/28))?
9
Suppose -4*d - 3*c = 6, -6*d + 2*d - 8 = 4*c. Suppose -l - 5*t + 5 + 5 = d, 4*l + 3*t - 74 = 0. Let f = l + -5. What is the remainder when 57 is divided by f?
12
Let q(a) = a**3 + 2*a**2 + 36*a + 111. Calculate the remainder when q(0) is divided by 48.
15
What is the remainder when 228 - (-2 - (-1 + 1)) is divided by (-22 + (-460)/(-40))/(0 - (-3)/(-6))?
20
Let v(u) = 8*u - 93. Let p be v(13). Let n(i) = 3*i + 81. Calculate the remainder when n(p) is divided by 24.
18
Let l be 7 + (349 - (-6)/1). Let i = -337 + l. Calculate the remainder when 48 is divided by i.
23
Let n = 347 + -344. Suppose -t + 48 = n*f, -4*f + 43 + 45 = 2*t. Calculate the remainder when 250 is divided by t.
34
Let l = -6316 - -6390. What is the remainder when 366 is divided by l?
70
Suppose 776 = 7*g + 132. Let q(a) = 10*a - 24. Let y be q(-6). Let d = y + g. What is the remainder when d is divided by 7?
1
What is the remainder when 15956 is divided by 465/124*(-608)/(-20)?
110
Let u be 14/4*(-6068)/(-287). Let h = u - 54. Calculate the remainder when 39 is divided by h.
19
Let w(x) = 76*x**2 + 4*x - 2. Let p be w(1). Calculate the remainder when 66 is divided by 646/26 - (-12)/p.
16
Suppose -p + 524 = -u, -4*p + 48*u + 2102 = 46*u. Calculate the remainder when p is divided by 86.
11
Let g = 2774 + -2752. What is the remainder when 163 is divided by g?
9
Let c be 34/(4 - 28/6). What is the remainder when 34/c + 910/6 is divided by 19?
18
Let i = -876 - -951. Calculate the remainder when 444 is divided by i.
69
Let j(z) = -6*z**2 - 78*z - 27. What is the remainder when 154 is divided by j(-12)?
19
Suppose -178 - 2 = -4*n - 4*g, n - 4*g - 50 = 0. Suppose 48*r = n*r + 360. Calculate the remainder when r is divided by 13.
11
Let o(h) = 7*h - 37. Let m = 70 + -55. Suppose -m = 3*g - 51. What is the remainder when o(g) is divided by 10?
7
Suppose -12 = -10*l + 8. Let i(s) = 3*s**2 + 2*s. What is the remainder when 140 is divided by i(l)?
12
What is the remainder when ((-12)/8)/((-69)/20378) is divided by 25?
18
Suppose 0 = -0*b - b - p, p - 6 = -3*b. Calculate the remainder when 43 is divided by 30/3 - (0 - -4 - b).
7
Let t(j) = 14*j + 422. Let o be t(-29). Suppose -9