 remainder when 290 is divided by 1 - (-55 + 5 + 16)?
10
Calculate the remainder when (25 - 2480/100) + 368/10 is divided by 11.
4
Suppose -44 = 5*y + 6. What is the remainder when (-5)/y*2198/7 is divided by 10?
7
Suppose -3*z = 13*h - 10*h - 234, 5*z - 82 = -h. What is the remainder when 2227 is divided by h?
71
Suppose -4*x + 20 = f, 4*x - 2*x - 10 = -4*f. Suppose -u + 14 - 15 = f. What is the remainder when 37 is divided by -2 - (-18 + u - -4)?
11
Suppose 4*z - 42 = -3*w, -45 = -3*w + 4*z + 45. Calculate the remainder when 12054 is divided by w.
20
Suppose -125*m + 89 = -120*m - 4*p, -p = 7*m - 151. Calculate the remainder when 13059 is divided by m.
18
Let d = 5238 - 4682. What is the remainder when d is divided by 13?
10
Let y = -4945 - -4973. What is the remainder when 263 is divided by y?
11
Suppose -4*g = -3*x - 5, 3*x - 2*g = 4*x + 5. Let s = 73019 - 73011. Calculate the remainder when x/(-2)*284/6 is divided by s.
7
Suppose 5*y = -2*j + 59, -j + 0*j - y + 22 = 0. Calculate the remainder when j is divided by 6.
5
Let i be 2 - 0 - (3 - (-4 - 96)). Let n = i + 109. What is the remainder when 53 is divided by n?
5
Let a(z) = -z**3 - 10*z**2 + 11*z - 3. Let p be a(-14). Suppose -53 = -20*n + p. What is the remainder when 131 is divided by n?
29
Suppose -l - 3*l + 79 = 5*j, 0 = 2*j - 4*l - 26. Let v(c) = -9*c + 166. What is the remainder when 81 is divided by v(j)?
19
Suppose 4*d - 62 + 74 = 0. Let w(p) = 2*p**2 + 3*p + 11. Calculate the remainder when 111 is divided by w(d).
11
Suppose 0 = -5*b + 4*k + 753, 30*b = 31*b - 5*k - 138. Calculate the remainder when 6730 is divided by b.
151
What is the remainder when (0 - 28/(-6))/(1/246 - 0) is divided by 64?
60
Let l be -6*(-6)/24 + (-5972)/(-8). Let o = l + -656. Calculate the remainder when 171 is divided by o.
79
Let l(w) = 13*w**2 - 8*w + 92. Let m(y) = -19*y**2 + 12*y - 136. Let c(h) = 8*l(h) + 5*m(h). What is the remainder when c(6) is divided by 20?
16
Let u(q) = 5 - 3*q**2 - 1 + 2*q + 3. Calculate the remainder when 20 is divided by u(0).
6
Let y be (-1 + 6/3)/((-6)/(-18)). Let r = -70 - -73. Suppose 15 = y*h - 0*s - r*s, 2*s - 6 = -2*h. What is the remainder when 6 is divided by h?
2
Let a = 8019 - 7469. Calculate the remainder when a is divided by 80.
70
Suppose -15184 = -4*z - 87*q + 85*q, -18928 = -5*z + 4*q. What is the remainder when z is divided by 33?
30
Let o(d) = -d**2 - 591*d + 6641. What is the remainder when 12538 is divided by o(11)?
17
Let x(s) = s**3 + 13*s**2 - 21*s - 61. Let a be 4/20*5 - (14 + 1). What is the remainder when 66 is divided by x(a)?
29
Suppose 0 = 4*j - 28, 3*u + 0*j + 4*j - 214 = 0. Suppose k - 7 = 11. What is the remainder when u is divided by k?
8
Suppose 2*j + 44 = 4*w, -5*j - 5*w + 2*w - 123 = 0. Let m(d) = 16*d + 4. Let t be m(j). What is the remainder when 85 is divided by 58/(-609) - t/21?
13
Let o be (13/((-78)/(-84)) - 2)/2. Suppose 7 = -s + o, -4*w = 4*s - 236. What is the remainder when 356 is divided by w?
56
Suppose -3*z + 12 = n - 0, 0 = -2*z + 4*n - 6. Suppose 3*o + 24 = 4*b, -2*o + 18 = z*b - 3*o. Calculate the remainder when 218 is divided by (-14)/(-4)*b/42*34.
14
Suppose -3*g - 11 = l, 5*l + 5229*g = 5234*g + 65. Calculate the remainder when 1804 is divided by l.
5
Let c(f) = -8*f - 2. Let u(t) = -12*t**3 - 3*t**2 - 5*t + 12. Let v be u(3). What is the remainder when c(-2) is divided by 46/(-575) - v/50?
0
Suppose 55*o - 1233 = 467 + 775. What is the remainder when 3644 is divided by o?
44
What is the remainder when 210 + 35 + (-6)/3*6 is divided by 29?
1
Suppose 0 = -614*x + 136*x - 1602 + 4470. Let n = 3 - 0. Suppose -n*l + 36 = l. Calculate the remainder when l is divided by x.
3
Let y(t) = t**3 + 8*t**2 + 6*t + 4. Let d(i) = -2*i**2 - 191*i + 4358. What is the remainder when d(-114) is divided by y(-5)?
42
Let c = -4215 + 4437. Calculate the remainder when 463 is divided by c.
19
Let r = -3658 + 6679. What is the remainder when r is divided by 1007?
0
Suppose -8396 = -10*g - 3*g + 47478. What is the remainder when g is divided by 50?
48
Let z = -34440 - -35553. What is the remainder when z is divided by 183?
15
Suppose -46*v + 83999 = 4281. What is the remainder when v is divided by 31?
28
What is the remainder when 4620 is divided by (1938/(-285))/(2 + (-123)/60)?
132
Let d be 154/6 - 4/(-12)*-2. Let o(q) = q**3 - 24*q**2 - 25*q + 19. What is the remainder when 92 is divided by o(d)?
16
Let h(r) = 244*r - 760. What is the remainder when 1066 is divided by h(4)?
202
Suppose -22*y + 11*y + 396 = -0*y. Calculate the remainder when 510 is divided by y.
6
Let i be 576/3 - (-2)/1. Suppose r = -4*q + 78, 0*q - i = -3*r - 4*q. Calculate the remainder when (-8)/(-5)*(13 - -687)/10 is divided by r.
54
Suppose 175*s - 2149 = 2051. Calculate the remainder when s is divided by (26/(-6))/((-1)/3).
11
Suppose -9*j + 5*x - 2220 = -4*j, 4*j + 1772 = 3*x. Let h = 449 + j. Calculate the remainder when 79 is divided by h.
7
Suppose -1449 = -3*w + 3*v, v - 96 = -3*w + 1373. Suppose -9*j = -j - w. What is the remainder when j is divided by 21?
19
Suppose -5*d + 26 - 1 = 0, b + 4*d = 638. Suppose -3*o + 5*y + 208 = -24, -o + 89 = -4*y. Calculate the remainder when b is divided by o.
66
Let b(d) = d + 3. Let q(k) = 33*k + 8. Let s(c) = -5*b(c) + q(c). What is the remainder when s(3) is divided by 26?
25
Let w = 13048 - 13022. What is the remainder when 3795 is divided by w?
25
Suppose 0 = -170*z + 181*z - 286. Calculate the remainder when 1129 is divided by z.
11
Suppose 0 = -14*m + 5496 - 1366. Suppose 7*s + 141 - m = 0. Calculate the remainder when s is divided by 17.
5
Let c be (6 - 20)*(108/21)/(-3). Suppose 13*j - c = 10*j. Suppose 0 = -j*h + 14*h - 708. Calculate the remainder when h is divided by 40.
38
Let s(i) = i**2 - 110*i + 2836. What is the remainder when s(75) is divided by 39?
16
Let v = -1 + 4. Suppose -90 - 350 = -8*c. Suppose -c = -6*k + 11. What is the remainder when k is divided by v?
2
Let l = 14235 - 14159. What is the remainder when 101 is divided by l?
25
Suppose 2*p = -p. Suppose k - 5*k - 8 = -3*g, p = -4*g - k + 17. What is the remainder when (10/4)/(252/1008) is divided by g?
2
Let v(u) = u**3 + 10*u**2 + 14*u + 21. What is the remainder when v(-6) is divided by 60?
21
Suppose 0 = -25*p + 1618 - 43. Let h = 16 + 20. Calculate the remainder when p is divided by h.
27
Suppose 172208 = 37*x + 151*x. What is the remainder when x is divided by 45?
16
Suppose 61 + 5 = 43*u - 63. Calculate the remainder when 8 is divided by u.
2
Suppose 0 = 98*h - 9701 - 1079. What is the remainder when 733 is divided by h?
73
Let d = -5057 - -5231. What is the remainder when d is divided by 91?
83
Let p = 3993 - 3909. What is the remainder when p is divided by 3/(-12)*-4*37?
10
Suppose -5*p + 495 = 5*m, 0 = -5*m - 4*p + 425 + 68. What is the remainder when 366 is divided by m?
75
Suppose -3*f = -i + 2*i - 31, 3*i + 4*f = 88. What is the remainder when ((-2)/(-4)*-239 - (303 + -298))/(23/(-46)) is divided by i?
25
Suppose 517 = 81*v - 1737 - 1148. What is the remainder when 203 is divided by v?
35
Suppose 0 = 4*t - 6*t + 5*u + 347, u + 925 = 5*t. Suppose -5*x + t = x. What is the remainder when 180 is divided by x?
25
Let x = -4338 + 7283. Calculate the remainder when x is divided by 22.
19
Suppose -17*h + 6250 = -12*h. What is the remainder when 30/(-105) + h/14 is divided by 23?
20
Let b(f) be the second derivative of -11/2*f**2 + 0 + 18*f - 7*f**3. What is the remainder when b(-2) is divided by 15?
13
Let n = 9119 + -5696. What is the remainder when n is divided by 32?
31
Suppose 0 = -2*g + 5*k - 18, 4*g + 27 = 3*k + 5. Calculate the remainder when (g - 50/(-15))*(-2682)/4 is divided by 50.
47
Suppose -c = 3*c + 5*j - 339, -255 = -3*c - 3*j. Let r = 550119 + -550086. What is the remainder when c is divided by r?
20
Suppose 5*v + 471 = 2036. What is the remainder when v is divided by 7?
5
Suppose -5*c - 26*z = -28*z - 1133, -1127 = -5*c + 3*z. Calculate the remainder when 669 is divided by c.
211
Suppose 0 = -10*a - 2701 + 8458 + 11113. Calculate the remainder when a is divided by 830.
27
Let h = -72889 + 72972. Suppose -1 = -y, y - 2 = 4*b - 49. Calculate the remainder when h is divided by b.
11
Let h = -3997 + 4815. Calculate the remain