17
Let v be ((-160)/25)/(2/(-30)). Suppose 8*o - 3*q - v = 3*o, -o - 4*q + 33 = 0. Let z = -57 + 133. What is the remainder when z is divided by o?
13
Calculate the remainder when (-2)/44 - (-24453)/242 is divided by 77.
24
Suppose 5 = 5*o, 3*t = 65*o - 68*o + 672. Calculate the remainder when t is divided by 66.
25
Let s be 5/(-4)*-2*10. Suppose -a = -2 - s. Suppose -5*l - u + 81 = 0, l + u + 22 = 39. Calculate the remainder when a is divided by l.
11
Calculate the remainder when 653 is divided by 12/27 - 1120/(-72).
13
Let q be (-2 - -3)*0/5. Suppose 3*l - 3*u + 1 = -2, l = -u + 9. Suppose -i + 5*a - 5 = q, -4*a + 51 = l*i - 1. What is the remainder when 26 is divided by i?
6
Suppose -29*g = -15*g - 252. Let z(u) = 11*u**3 + u**2 - 2*u + 1. Let h be z(1). Suppose 3*q + 704 = h*q. Calculate the remainder when q is divided by g.
16
Let g(i) = -10*i - 1. Let b(t) = 2*t**2 - 1. Let v be b(1). Let u be g(v). What is the remainder when u - -13 - 93*-1 is divided by 24?
23
What is the remainder when (-142860)/(-87) - 16/232 is divided by 16?
10
Let p = -21 + 205. Let t(s) = s**2 + 28*s + 36. Calculate the remainder when p is divided by t(-27).
4
Suppose 3*l - 576 = -v, -16*v - 2*l = -10389 + 1035. What is the remainder when v is divided by 72?
9
Suppose 0 = -3*q - 4*w - 664, -5*q - 416 = -3*q - 4*w. What is the remainder when 266 is divided by (-2)/((-32)/q + 4/(-18))?
23
Let q(l) = l**3 + 6*l**2 + 12*l + 6. Let r be q(-3). Let b(c) = 2*c**2 + 2*c - 2. Suppose 0 = -o + 4. Calculate the remainder when b(r) is divided by o.
2
Let n(f) = -777*f**3 - 3*f**2 + 3*f - 1. Let h be n(1). Calculate the remainder when ((-52)/13)/(8/h) is divided by 23.
21
Let q(j) = -2*j + 72. Let a be q(18). Suppose a = -u + 47. What is the remainder when 29 is divided by u?
7
Let b be -74 + 2*6/(-4). Let c = b + 73. What is the remainder when 107 is divided by -4*(-9 - c*(-2)/(-4))?
23
What is the remainder when (-2)/1 - 376/(-2) is divided by (-208)/576 - (-1)/4 - (-4240)/90?
45
Suppose 5*v = 4*m + 9 + 37, -29 = -3*v + m. Suppose -4*o - 5*b = -105, 4*o - 2 = 4*b + 58. Let c = o - -14. Calculate the remainder when c is divided by v.
4
Let a(d) = d**3 + 86*d**2 + 84*d - 84. Suppose -3*q + 3 = -5*u, -3*u - 3 = q - 4*q. Calculate the remainder when q is divided by a(-85).
0
Let s(w) = 36*w**2 - 12*w - 6. What is the remainder when s(2) is divided by 22?
4
Let q = 179 + -177. Let c be 6*(-140)/(-8) + -2. Suppose 5*d = q*w + c + 18, 3*d - 4*w - 81 = 0. Calculate the remainder when d is divided by 8.
7
Suppose -2*r + 244 = 4*p, -2*r - 145 = -3*p + 10. What is the remainder when 5869 is divided by p?
55
Let h be 57/3 + 0 + 1. Let f = h + 93. Let r = 947 - 928. What is the remainder when f is divided by r?
18
Suppose 0 = -19*d + 21*d - 164. Calculate the remainder when 244 is divided by (d/6)/((-1)/(1 - 4)).
39
Let o = -526 - -525. Calculate the remainder when (o - 5/(-7)) + 92800/812 is divided by 41.
32
Let w(u) = 15*u + 83. Let q(n) = 24*n**2 + 44*n + 2. Let t be q(-2). Calculate the remainder when w(t) is divided by 14.
9
Let x(i) = -12*i + 2. Let a be x(-3). What is the remainder when (-7 + a/6)/((-1)/78) is divided by 19?
14
Let g(h) = 7*h + 2. Let o = 10 + -3. Calculate the remainder when -3 + 42 + (3 - o) is divided by g(1).
8
Let w = -1291 - -2375. What is the remainder when w is divided by 16?
12
Suppose 16*g - 3*g = -2028. Let h = 184 + g. What is the remainder when 138 is divided by h?
26
Suppose -49*n + 8610 + 406 = 0. What is the remainder when 250 is divided by n?
66
Let o = -2369 - -2417. Let y(b) = b**2 - 4*b - 4. What is the remainder when o is divided by y(-3)?
14
Let h be (-951)/12 - 3/(-12). Suppose 0 = -5*p + 13*p + 208. Let a = p - h. What is the remainder when a is divided by 9?
8
Let y = -333 - -448. Suppose -40*k - y = -45*k. Calculate the remainder when 435 is divided by k.
21
Suppose 0 = 5*o + 5*w - 155, -28 = -0*o - o + 2*w. Calculate the remainder when o is divided by (-183 - -184)*(-33)/(-22)*88/6.
8
Suppose 90 = -1521*f + 1524*f. Calculate the remainder when 197 is divided by f.
17
What is the remainder when (0 - 0 - (-60525)/(-300))*(-8)/6 is divided by 161?
108
Suppose -3*y + 345 = 2*y. What is the remainder when y is divided by (3/((-30)/35))/((-55)/10 + 5)?
6
Suppose -6550 = 3*y - 5*y. Calculate the remainder when y is divided by 14.
13
Suppose -w = -4*u + 453, -w - 60 = -63. Calculate the remainder when 1481 is divided by u.
113
Suppose -17*j = -j + 12*j - 1036. What is the remainder when 3473 is divided by j?
32
Suppose 2*z - 10 = -3*s + 15, -2*z + 37 = -s. Let x(b) = 21*b**2 - 2*b + 2. Calculate the remainder when x(2) is divided by z.
14
Suppose 0 = 4*c + 2*b - 242, 3*c - 5*b = -0*c + 214. Suppose 35 + c = 14*h. What is the remainder when 20 is divided by h?
6
What is the remainder when 46 is divided by 250/8 + (42/(-49))/((-48)/42)?
14
Suppose 100*i + 1065 = 313*i. Let c = -3 - -13. Calculate the remainder when c is divided by i.
0
Let y = 59618 - 59601. Let f = 1669 + -1042. What is the remainder when f is divided by y?
15
Let k(d) = 14*d - 96. Let g(j) = -2*j**2 + 11*j + 31. Let h be g(7). What is the remainder when k(h) is divided by 31?
13
Let s(g) = 3*g + 10 + 9 - 2*g - 12. Let o be s(4). Let n(y) = y**3 - 11*y**2 + 6*y - 8. What is the remainder when n(o) is divided by 12?
10
Let s be (6 - 1) + 5*(-20)/(-50). What is the remainder when (-5658)/(-21) - (-4)/s is divided by 21?
18
Let f be (9/(-6))/((-5)/(-10)) + -11. Let d = 43 - f. What is the remainder when 394 is divided by d?
52
Let h = 156 - 84. Suppose -2*l + h = l. What is the remainder when (-4)/24*(21 + (-17 - 856)) is divided by l?
22
Let s = 4567 + -4447. What is the remainder when 593 is divided by s?
113
Calculate the remainder when (36612/45 - 13) + -1 + (-2)/(-5) is divided by 52.
20
Suppose -33472*o + 280 = -33452*o. Let b = 28 + 138. Calculate the remainder when b is divided by o.
12
Let q(s) = s**3 - 7*s**2 + 10*s - 17. Let d be q(6). Suppose -d*x + 64 = -104. Calculate the remainder when 40 is divided by x.
16
Let z = 9 + 64. Suppose 67*t + 76 = 71*t - 5*s, 2*s = 3*t - 57. What is the remainder when z is divided by t?
16
Suppose 0 = -46*p - 38*p - 3900 + 34476. What is the remainder when p is divided by 160?
44
Suppose -2*t + 13*z = 9*z - 1600, -3224 = -4*t - 4*z. Suppose -2*r + t = 3*g, 5*r - 2191 + 171 = -5*g. Calculate the remainder when r is divided by 10.
8
Let c be (4 - -2) + 3 + (-7 - -3). Suppose 7 + 7 = b - 3*h, 5*b - c*h = 30. What is the remainder when 50 is divided by b?
0
Suppose -39*p + 152*p = 63*p + 36950. What is the remainder when 2286 is divided by p?
69
Let g = -311 - -198. Let h = g + 109. Calculate the remainder when 63 is divided by ((-40)/(-15))/((h*1)/(-12)).
7
Let s = 1144 - 660. What is the remainder when -8 + (3/(-4) - (-2244)/48) is divided by 1/(-6) - s/(-24)?
18
Let p(t) = -t**3 + 24*t**2 - 19*t + 131. Let u be p(21). Suppose d + 1045 = u. Calculate the remainder when 78 is divided by d.
8
Let g = -4360 + 4388. Calculate the remainder when 154 is divided by g.
14
Let j(m) = 10*m - 102. Calculate the remainder when 413 is divided by j(12).
17
Suppose -125 = -2*v + 41. Let s be ((-6435)/198)/(10/(-12)). Let p = v - s. What is the remainder when 217 is divided by p?
41
Let a = 471 + 9. Suppose 0 = -345*k + 340*k + a. Calculate the remainder when k is divided by 20.
16
Suppose 6*i = t + 384, -4*i + 261 = t + 15. Calculate the remainder when 263 is divided by i.
11
Suppose 0 = -2*q, 5*l - 95 = -q - 15. What is the remainder when 1128 is divided by l?
8
Let p(d) = d + 1. Let s be p(-1). Let r(v) = v**2 - 4*v + 58. Calculate the remainder when r(s) is divided by 21.
16
Suppose 0 = 4*z - 8*k + 9*k - 9, -2*k = -3*z - 7. What is the remainder when -1*z + (-27)/((-216)/2240) is divided by 40?
39
Let u = -586 - -648. Suppose 0 = -7*j + 85 - 267. Calculate the remainder when u is divided by ((-3)/(-6)*j)/(-1).
10
Calculate the remainder when 533 is divided by ((-48)/(-504) - (-2239)/84)*(-7 - -11).
105
Let v = 16 + -9. Let g = 14256 + -14232. What is the remainder when g is divided by v?
3
Suppose -4*c = -18*c + 2436. Suppose 246 + c = 14*j. What is the remainder when j is divided by 27?
3
Let q(d) = -4*d**3 - 3*d**2 - d - 4. Let b(a) = 9*a + 51