. Suppose 0 = 6*v - 135 + q. What is the remainder when v is divided by 11?
8
Let x(k) = -k**2 - 35*k + 44. Let w = -174 - -138. What is the remainder when 28 is divided by x(w)?
4
Suppose -5*g - y + 101 = 0, -g - 12*y = -15*y - 1. What is the remainder when 1841 is divided by g?
17
Let l(f) = -220*f. Let v be l(1). Let w = -181 - v. Calculate the remainder when w is divided by 4.
3
Let c = 228 - 226. Suppose -c*w + 35 = -181. What is the remainder when w is divided by 18?
0
Let g = -1711 - -1732. Calculate the remainder when 1132 is divided by g.
19
Suppose 26*b - 88*b = -37*b - 275. Calculate the remainder when 1362/14 - 6/21 is divided by b.
9
Let d = -48 - -54. Calculate the remainder when (87 + -7)*(7 + -5) is divided by d.
4
Suppose 0*q = -3*q + 96. Suppose 3*u - 274 = d + 276, 7634 = 41*u - 3*d. Calculate the remainder when u is divided by q.
27
Suppose -21*h - 5*h + 7136 = 6*h. What is the remainder when h is divided by 76?
71
Suppose 35*r - 301 = -8*r. Calculate the remainder when 572 is divided by r.
5
What is the remainder when 8 + 9 + 2707 + -1 is divided by 9?
5
Calculate the remainder when ((-3159)/54)/(12/(-32)) is divided by 75.
6
Let o(h) = h**3 + 16*h**2 + 7*h + 16. Let l be o(-17). Let f = l - -403. Calculate the remainder when 262 is divided by f.
9
Suppose -6*u = -438 + 420. Let p(f) = -f**2 + 12*f - 21. What is the remainder when p(u) is divided by 4?
2
Suppose 234*o - 93578 = -55369 + 90257. Calculate the remainder when o is divided by 85.
39
Suppose -j = -2*o + 8, 0 = -j - 0*j. Let d(i) = 12 + 4*i + 7*i + 17*i + 15*i - 32*i. Calculate the remainder when d(o) is divided by 15.
11
Let z = 48028 - 47972. Let p = 299 + -77. Calculate the remainder when p is divided by z.
54
Let r(c) = 2*c**3 - 95*c**2 + 355*c + 10. Suppose 0 = 3*j - 2*j - 98. What is the remainder when j is divided by r(4)?
22
Suppose 276 = 7*q - 494. Suppose 9*f = q + 16. What is the remainder when f is divided by 4?
2
Suppose -41*q = -27*q. Let f(k) = -k**3 - k**2 + k + 4. What is the remainder when 27 is divided by f(q)?
3
Suppose -8*r + 59 = 27. Let x(l) = -2*l**3 - 58*l**2 - 56*l + 52. What is the remainder when x(-28) is divided by r?
0
Let u = -575 - -597. What is the remainder when 1472 is divided by u?
20
Let f be 1/((-4)/(-50)*(-5)/10). Suppose -4*m = -2*m - 58. Let a = m + f. What is the remainder when 10 is divided by a?
2
Let d be (4 - (2 - -3)) + (3 - -1). Suppose q = 6*q + 5*a - 445, q = -d*a + 91. Suppose -2*t + q = -38. What is the remainder when t is divided by 13?
11
Calculate the remainder when 3/(126/26850) + 6/(-21) is divided by 81.
72
Let m = 35419 + -33906. Calculate the remainder when m is divided by 219.
199
Suppose 0 = -59*a + 21106 + 6447. Calculate the remainder when a is divided by 116.
3
What is the remainder when (-1414)/(-8) + ((-3)/42)/((-40)/140) is divided by (-1 - 18)*10/(-5)?
25
Suppose 9064 = -16*h + 11128. What is the remainder when h is divided by 3?
0
Suppose u - 3 = 0, l + 3*u - 28 + 3 = 0. Let a(v) = 5*v**3 - 5*v**2 + 8. What is the remainder when a(2) is divided by l?
12
Let y = -127 - -242. Let w = -10115 - -10173. Calculate the remainder when y is divided by w.
57
Let r = 174 - 81. Let c = -9 + 9. Suppose o + 2*t - 34 = c, -4*t - 92 = -3*o - 0*t. Calculate the remainder when r is divided by o.
29
Suppose -6*o = -5224 + 5074. Calculate the remainder when 185 is divided by o.
10
Let d(k) = -3*k**3 - 4*k**2 + 4*k + 3. Let q be d(-2). Suppose -8*j + 51 = 3*h - 9*j, -5*h = q*j - 85. Calculate the remainder when h is divided by 7.
3
Let k be -20 + 22 - (0 - (4 + 0)). Suppose -k*j + 5*j = -89. What is the remainder when j is divided by 54?
35
Let i(j) = 18 + 17 + 3 - 2*j. Let c be i(18). Suppose q - 18 = -c*b - b, -q = 4*b - 22. Calculate the remainder when 40 is divided by q.
4
Let v(h) = -4*h**2 + 10*h + 31. What is the remainder when 491 is divided by v(3)?
16
Let z(a) = -a**2 - 2*a + 20. Let h be z(-5). Suppose 4*c - 18 + 354 = 4*l, -5*l = h*c - 400. What is the remainder when l is divided by 22?
16
Let b(x) = 11*x**2 - 11*x + 78. Let j(o) = -35*o**2 + 32*o - 233. Let r(c) = -19*b(c) - 6*j(c). Calculate the remainder when r(-24) is divided by 28.
0
Let o = -467 - -483. Suppose k - o = -2. Calculate the remainder when 135 is divided by k.
9
Suppose 5*o = -4*k - 89 - 247, 168 = -2*k - 5*o. Let w be (k/(-16))/((-12)/(-16)). Let f = 62 - w. Calculate the remainder when f is divided by 28.
27
Let n be (-15)/(-18)*(7 - 1). Suppose -c + 65 = 3*o, n*c + 115 = 4*o + o. What is the remainder when o is divided by 7?
1
Let j(v) = v**3 + 27*v**2 + 2*v + 69. Let k(c) = 8*c**2 - 7 + 2*c**2 + 8. What is the remainder when k(2) is divided by j(-27)?
11
Let u = -3683 + 4352. What is the remainder when u is divided by 10?
9
Let o(a) = 45*a + 88. Calculate the remainder when 698 is divided by o(3).
29
Let y(d) = -3*d**3 - 94*d**2 - 42*d - 193. Calculate the remainder when 174 is divided by y(-31).
26
Suppose -12*j + 7*j = -40. Suppose -4*y + 8 = 4*k, 2*y - 16 = 3*k + 8. Calculate the remainder when y is divided by (-24)/j*(4/3 - 2).
0
Let t(b) = b**2 - 4*b + 5. Let r be t(4). Suppose -r = -i - 0*i. What is the remainder when ((-91)/5 + -1)*(-3335)/2668 is divided by i?
4
Let w be 710/30 + 2/(-3). Let y = 187 + -180. What is the remainder when -2*(3 - w)/4 is divided by y?
3
Suppose -3 = j + 2*j, 4*i = 5*j + 933. Let c = -206 + i. What is the remainder when c is divided by 6?
2
Suppose 66*r + 35 = 71*r, -4*h - 4*r + 232 = 0. Suppose 3*q + 17 = g, -2*q + 4 = -4*g + 62. Calculate the remainder when h is divided by g.
9
Let l(u) = u**2 - 20*u + 201. Calculate the remainder when 17283 is divided by l(20).
198
Let o be ((-6)/15)/((-1)/15). Let h be (9 - 2) + 7 + (-24)/3. Calculate the remainder when (140/o)/(h/18) is divided by 18.
16
Calculate the remainder when 764 is divided by -16 + (-492)/(-30) - (-114)/15.
4
Let i = 7858 - 7815. Calculate the remainder when i is divided by 39.
4
What is the remainder when (-32)/208 + (-4064)/(-52) is divided by 51?
27
Let b be (60/105)/((-2)/(-14)). Suppose 2*x + n = 23, 2*x - 3*x - 3*n = -b. Calculate the remainder when 64 is divided by x.
12
Suppose a = 2*a - 104. Let s = -11015 + 11030. What is the remainder when a is divided by s?
14
Let p = -27 + 84. Calculate the remainder when p is divided by 7 + 6 - (-13)/(78/96).
28
Suppose 2*p + 16 = 2*f - 14, 2*p = -5*f + 68. What is the remainder when 270 is divided by (-3 + f)*5*1/1?
50
What is the remainder when 3310 is divided by (32/6)/((-32)/48) + 15?
6
Suppose -20*o + 19*o + 6545 = -3*g, -g - 32655 = -5*o. Calculate the remainder when o is divided by 33.
29
What is the remainder when 2 + 110673/33 + 30/110 is divided by 42?
38
Let c(d) = -d**2 + 10*d + 29. Let p be c(-5). What is the remainder when 101 is divided by (-23)/(p/84) + -3?
23
Let k = 320 + -317. Suppose 6*p - 3*p = k*l - 690, 5*l + 2*p = 1185. What is the remainder when l is divided by 48?
43
Suppose 6 = c - 8 - 12. Calculate the remainder when c is divided by 9.
8
Suppose -4*l = -2*l - 222. Let o(j) = 47*j - 456. What is the remainder when l is divided by o(10)?
13
Let z = -2548 + 2610. What is the remainder when 3221 is divided by z?
59
Suppose 5*g = -o + 106 - 46, 5*g - 150 = -4*o. What is the remainder when 2840 is divided by o?
20
Suppose 0 = 80*k - 75*k + 10. Let l(b) = -10*b**3 - 9*b**2 - 13*b. What is the remainder when 205 is divided by l(k)?
65
Let q(x) = -x**2 - 28*x - 31. Suppose 166 = -22*a - 362. Calculate the remainder when q(a) is divided by 11.
10
Let a(k) be the second derivative of k**4/4 + 16*k**3/3 + 109*k**2/2 + 24*k - 1. What is the remainder when 82 is divided by a(-4)?
24
Let f = -973 + 1618. Suppose -4*q - 3*s = -3 - 94, -5*q - 3*s + 116 = 0. Calculate the remainder when f is divided by q.
18
Let b be ((-600)/(-18))/(3/18). Let i = b + -161. Calculate the remainder when 76 is divided by i.
37
Suppose 17*l = 941 + 79. What is the remainder when 138/4 - 30/l is divided by -4 - -1 - (-11 + 1)?
6
Suppose -96*w + 7*w + 57936 = 13*w. What is the remainder when w is divided by 60?
28
Let u = 97 - 20. Calculate the remainder when (-54)/(-4)*(-288)/(-27) is divided by u.
67
Let i(w) = 25*w + 438. Let d be i(-29). Let s = -272 - d. Calculate the remainder when 505 i