he remainder when 245 is divided by p(10).
60
Suppose 0 = -161*a + 292*a - 146*a + 79050. Calculate the remainder when a is divided by 21.
20
Suppose -15 = -5*k, 3*g - 363 = -2*g - k. Suppose 0 = -f - 17 + g. Calculate the remainder when (-4 + (-570)/21)/(3009/(-119) + 25) is divided by f.
54
Let i(b) = b**3 - 2*b**2 - 29*b - 24. What is the remainder when 646 is divided by i(7)?
16
Suppose 9545*l + 2592 = 9563*l. Calculate the remainder when l is divided by (21 - (0 + -2)) + -1.
12
Let j = -2292 + 2323. What is the remainder when 1363 is divided by j?
30
Let d be (46/(-4) + 0)/(30/60). Let q(x) = x**2 + 23*x + 33. Calculate the remainder when 164 is divided by q(d).
32
Let s(j) = -309*j - 8312. What is the remainder when 246 is divided by s(-27)?
29
Suppose -5*b + 4*b + 27 = -5*c, 2*c + 68 = 3*b. What is the remainder when (5 - (-1770)/(-390)) + (-748)/(-13) is divided by b?
14
Let r = 164 + -161. Suppose -10*j = 2*x - 8*j - 18, r*j - 41 = -4*x. What is the remainder when 29 is divided by x?
1
Let p(v) = 2*v + 3. Let o(y) = 2*y + 3. Let z(u) = -6*o(u) + 5*p(u). Let n(a) = 60*a - 1023. Let w be n(17). Calculate the remainder when 15 is divided by z(w).
0
Suppose 0 = -6*p + 2*p + 44. Suppose s = p + 111. Suppose -r - 5*w - s = -4*r, 0 = 2*w - 4. What is the remainder when r is divided by 9?
8
Let u(g) = -18*g + 222. Let h be 28/(-4) + 3 + 43. Let y = 90 - h. What is the remainder when y is divided by u(12)?
3
Let v(u) = 3*u + 0 - 16*u + 3*u + 3*u + 33. What is the remainder when v(4) is divided by 12/8 + 2/4?
1
Suppose -j + 221 = 4*b - 67, -3*j - 216 = -3*b. Suppose -3*q + i + 675 = 0, 26*q - i - 901 = 22*q. What is the remainder when q is divided by b?
10
Let q = 173 + -113. Suppose -6*o + 2924 = -5*u, 896*o - 891*o - 3*u - 2425 = 0. What is the remainder when o is divided by q?
59
Let y(k) = -k**3 - 13*k**2 + 301. What is the remainder when 7195 is divided by y(-11)?
56
Let w be (-4)/8 + (-33)/(-2). Suppose 32*n - 36*n = -w. Suppose n*p = 2*f - 92, 2*f + 5*p + 11 = 67. What is the remainder when f is divided by 5?
3
Let j(p) = -17*p**3 - p**2 - 9*p - 36. What is the remainder when j(-3) is divided by 190?
61
Let o(j) = j**3 + j**2 - 10*j - 2. Calculate the remainder when 16 is divided by o(-3).
6
Let z be -5 + 3/3 - 2. What is the remainder when ((-32)/z)/(10/360) is divided by 13?
10
Let t(n) = 33*n - 38. Let q be t(-6). Let k = q + 263. Calculate the remainder when 106 is divided by k.
25
Let z(x) = -3*x**2 - 5*x + 23. Let r be z(5). Let o = -48 - r. Let g(h) = h**3 + 8*h**2 - h + 2. What is the remainder when o is divided by g(-8)?
9
Let i(s) = 2*s. Let j be i(8). Let f be -28 + 23 - (-1 - -3). Let u = f + j. Calculate the remainder when 114 is divided by u.
6
Suppose -41234 = -59*x - 47*x. Calculate the remainder when x is divided by 4.
1
Let c = 11304 - 10353. Calculate the remainder when c is divided by 55.
16
Suppose 76*t - 57*t - 2185 = 0. Calculate the remainder when t is divided by 103.
12
Calculate the remainder when (-2)/18 + (-79376)/(-369) is divided by 31.
29
Let z(p) = -591*p + 4950. What is the remainder when z(8) is divided by 8?
6
Let r(q) = -8 - q + 20 + 12 + 0*q. What is the remainder when 92 is divided by r(5)?
16
Suppose -18 = -3*b + 4*x + 86, -4*x - 20 = 0. Suppose -26*h = -b*h + 272. Calculate the remainder when h is divided by 70.
66
Suppose 4*z - 1798 = 3*k, z + k + 300 - 746 = 0. Suppose r + 464 = -z. What is the remainder when r/(-28) - (-12)/(-21) is divided by 12?
8
Let n(m) be the first derivative of -5*m**2/2 + 14*m - 18. Let i be n(5). Let a = 41 - i. What is the remainder when a is divided by 27?
25
Suppose -6*q + 294 = q. Let t = -14 + q. Suppose -y - 5*p + t = -2*p, p + 12 = y. Calculate the remainder when 61 is divided by y.
13
Let b be 5/((1/2)/((-3)/(-15))). Suppose -4*h + 2*h - 5*f = -128, f = -b*h + 112. What is the remainder when 158 is divided by h?
50
Suppose -504*k - 3*c = -503*k - 41, -c - 73 = -4*k. What is the remainder when 2664 is divided by k?
4
Suppose 2*j - 14 = -5*i, 3*i = -4*j - 2 + 16. Suppose i*f - 145 = t, -11*t + 287 = 4*f - 12*t. What is the remainder when 211 is divided by f?
69
Let z = -18 - 103. Let p = z - -131. Let k = -53 + 92. What is the remainder when k is divided by p?
9
Let y(x) = -14 + 0*x + 13*x**2 + 4*x + 2*x - 2*x**3. Let l be 14 - (-1 + 20) - (1 - 12). Calculate the remainder when y(l) is divided by 20.
18
Suppose -559 = -4*a - 575. What is the remainder when 127 is divided by a + 3 + 19 + -5?
10
Let o = 1269 - 251. Suppose -242 = -n + 5*l, 4*n = 4*l - 9*l + o. What is the remainder when n is divided by 33?
21
Let k = 342 + -342. Suppose k = b + 2 - 23. Calculate the remainder when 40 is divided by b.
19
Let z(y) = 903*y - 152. Calculate the remainder when z(1) is divided by 23.
15
Suppose -17*v - 84 - 1089 = 0. Let p = v + 161. Calculate the remainder when p is divided by 24.
20
Let q(x) = 18*x**3 - 17*x**2 - 2*x. Let i(t) = 10*t**3 - 9*t**2 - t. Let j(u) = 11*i(u) - 6*q(u). What is the remainder when 586 is divided by j(3)?
82
Let w(n) = -n**3 + 3*n**2 - 13*n - 3. Suppose 9*d = 17 - 62. Calculate the remainder when w(d) is divided by 53.
50
What is the remainder when 15651 is divided by -20*(-43619)/9540 - (1 + 5/(-9))?
90
Let c be ((-5817)/(-63))/((1/(-1))/(-3)). Calculate the remainder when 3 + c + 7 + (2 - 4) is divided by 32.
29
Let u(c) = 2*c + 32. Let l be u(-15). Let d(b) = 6*b**3 - 2*b**2 + 8*b - 5*b + l*b - 2*b. Calculate the remainder when 38 is divided by d(1).
3
Let r(f) = 11*f**2 - 1. Let l be (-87585)/(-155) - (-22)/(-341). What is the remainder when 20114/l + (-2)/(-5) is divided by r(1)?
6
Suppose 0 = 2*y, -2*y + 8 = -2*d + 6*d. Let z be d/(5/10 + 87/(-150)). Let k = 59 + z. Calculate the remainder when k is divided by 6.
4
Suppose 0 = -30*n + 1509 + 1909 + 3332. What is the remainder when n is divided by 40?
25
Calculate the remainder when (-7)/((-56)/(-24))*-1*(-667)/(-3) is divided by 11.
7
Suppose 5*z = -2*o + 460 - 110, o + 2*z - 172 = 0. Calculate the remainder when o is divided by 39.
4
Let k = 48 + -51. Let h = k - -8. Suppose 43 = -h*u + 118. What is the remainder when u is divided by 9?
6
Suppose 0 = 3*i - 2*x - 1040, -5*x + 957 = 3*i - 34. What is the remainder when i is divided by 96?
54
Suppose -12*d + 9*d + 89 = -55. Calculate the remainder when 388 is divided by d.
4
Let x(v) = -35 - 34*v - 63 - 7*v - 53 + 3. Calculate the remainder when 85 is divided by x(-5).
28
What is the remainder when ((-32608)/40)/((-4)/10) is divided by 17?
15
Suppose 3*v - 63 = -4*q, -4*q + 105 = 2*v + 3*v. What is the remainder when 27 + (2/(-2))/1 is divided by (-8 - (-175)/v)*18?
2
What is the remainder when 1384 is divided by (-1)/(-7) + (-511497)/(-1127)?
22
Let y be (33/9 + -3)/((-12)/(-396)). Suppose 2*u - 4 = 0, -u + y + 21 = z. What is the remainder when 159 is divided by z?
36
Suppose 0*m + 5*k = -m + 42, -m - 2*k + 30 = 0. Suppose 2*a - 144 = -4*g, -187*g - 300 = -197*g + a. What is the remainder when g is divided by m?
9
Let y be (-4)/4 - (0 + -6). What is the remainder when y*(0 + -1) + (97 - 85) is divided by 2/(-9) + 40/18?
1
Suppose 0 = -9*s + 13*s + 572. Let j = s - -203. Suppose -c = -j - 19. Calculate the remainder when c is divided by 40.
39
Let z = -18409 - -18538. What is the remainder when 334 is divided by z?
76
Suppose 0 = 4*m + m - 30. Suppose 0 = 3*b + 2*p - 50, 0 = -0*p - 3*p - 15. What is the remainder when -23*(4 + b/(-4)) is divided by m?
5
Suppose -5*j = -894 - 531. Calculate the remainder when j is divided by 6 + (3 + -58)/(-5).
13
Let z(u) = 8*u**2 - 2 + 0 + 9*u - 3*u + u**3. Let l be z(-7). What is the remainder when 37 is divided by ((-95)/(25/l))/(-1)?
18
Suppose -30*b + 36*b = 2574. Calculate the remainder when b is divided by 114.
87
Suppose 3*z = 5*m - 23, 3*m = 4*m + 2*z - 2. Suppose c - m = 27. What is the remainder when 68 is divided by c?
6
Let c be ((-4)/(-10))/(60/(-75))*0. Calculate the remainder when (c - 3114/(-15)) + 12/30 is divided by 55.
43
Let m(x) = -2*x**2 - 4*x. Let s be m(3). Let a = s + 48. What is the remainder when 16 is divided by (-54)/(-15)*30/a?
4
Suppose -3*v = -174 - 198. Let q = v + -111. Let j = -119 - -169. What is the remainder when j is divided by q?
11
Suppose 4*d - 11 = 53. Let m =