
Let o be (-2 + 4)*(6 + 1). Suppose -56 = -6*z - o. Calculate the remainder when 17 is divided by z.
3
Let f = -135 + 143. What is the remainder when 89 is divided by 124/7 - f/(-28)?
17
Suppose r = -3*a + 1461, -3*r + 2*a + 4471 = -0*a. What is the remainder when 4467 is divided by r?
12
Let b(c) = -39*c**2 - 548*c + 26. Calculate the remainder when 5344 is divided by b(-14).
52
Let l = -6361 + 9047. What is the remainder when l is divided by 38?
26
Let p(l) = 3*l**2 - 27*l - 203. Calculate the remainder when p(-10) is divided by 39.
16
Calculate the remainder when 590 is divided by 7/1 - (-20)/((-100)/(-565)).
110
Suppose 0 = -4*c + 24, -3*u + 176 = 5*c - 115. Calculate the remainder when 4521 is divided by u.
84
Suppose 8 - 56 = -24*y. What is the remainder when 20 - (y/4 - (-4)/(-8)) is divided by 6?
2
Suppose -2*y + 2778 = 9*b - 7*b, -5*y + 6929 = -3*b. Calculate the remainder when y is divided by 689.
9
Suppose -3*g + 139 = 1144. Let r = 33 - g. What is the remainder when r is divided by 34?
28
Suppose 39*i - 35*i = 21*i - 2176. What is the remainder when 1535 is divided by i?
127
Suppose 0 = u + 10*u - 121. Suppose 9 = -a + 5*m, 5*m + u = -3*a + 44. Suppose -a*r - 67 = -223. What is the remainder when r is divided by 9?
8
Let s(m) = 145*m - 706. What is the remainder when 201 is divided by s(5)?
11
Let f(m) = m**2 + 41*m - 38. Let z be f(-42). Suppose -3*s - 1753 = -z*h, 1758 = 4*h + 7*s - 5*s. Calculate the remainder when h is divided by 34.
31
Suppose 5*k + 110 = 5*y, -k = -11 + 13. Let s(j) = 2*j**3 + j**2 - 1. Let a be s(1). Let u(x) = 18*x. What is the remainder when u(a) is divided by y?
16
Suppose u + 3*u = 4*t, -t - 2*u - 6 = 0. Let f(v) = -3*v**3 - 2*v**2 + 2*v + 1. Calculate the remainder when 63 is divided by f(t).
11
Let s = -11667 + 12485. Calculate the remainder when s is divided by 403.
12
What is the remainder when 1641 is divided by -19 - 11/((-198)/1440)?
55
Suppose 4*m + 46 = 3*b, -3*m + 1 + 5 = 0. Let p = -7 + 12. Let d(f) = -2*f**2 + 14*f - 13. What is the remainder when b is divided by d(p)?
4
Let m be (-10 - -2)*(645/(-20) - 4). Let h = m - 273. What is the remainder when 92 is divided by h?
7
Let g = -17767 + 20830. What is the remainder when g is divided by 31?
25
Let a be ((-4)/6 - -1)*(27 + -21). Suppose -46 = -2*x + 2*o, 3*o - 39 = -a*x - 2*o. What is the remainder when 32 is divided by x?
10
Let s(f) = -63*f + 1581. What is the remainder when 4206 is divided by s(25)?
0
Suppose -2839 + 2802 = -2*l + 5*b, -9 = 3*b. Suppose -15 = 5*o - 0*f - 5*f, 0 = 3*o + 2*f - 16. What is the remainder when 81/o*(-4)/(-3) is divided by l?
10
Suppose 78 = 6*g, -30*g + 194 = 4*d - 28*g. Suppose 0 = -6*f + 4*f + 500. Calculate the remainder when f is divided by d.
40
Let x = 12970 + -12881. Calculate the remainder when 2135 is divided by x.
88
Suppose -3*h + 173 = 42*s - 41*s, 0 = h + 5*s - 81. What is the remainder when 1393 is divided by h?
49
Suppose 70*f - 73*f = -2*p - 123, 4*p = 4*f - 164. What is the remainder when 2431 is divided by f?
12
Suppose 17*k + 149*k + 28*k - 15326 = 0. Calculate the remainder when 102 is divided by k.
23
Suppose -5*a + 2*c + 101 = 0, -2*c + 12 = 8. Calculate the remainder when 55 is divided by a.
13
Suppose 4*w + 3*d - 21 = 0, -2*w + 3*w + 3*d - 3 = 0. Let f = 8 + -5. Suppose -51 = f*j - 6*j. What is the remainder when j is divided by w?
5
Suppose 0 = 2*k + 4, 12*q - 8*q - 26 = 5*k. Suppose q*x + 4*s = -408, -2*s = 3*s - 25. Let t = -77 - x. What is the remainder when t is divided by 8?
6
Let w(g) = -18*g**2 + 9*g + 2*g**3 + 4*g**3 - 7*g**3 - 65 + 4*g. What is the remainder when w(-19) is divided by 4?
1
Suppose 22 = -i - 5*u, 4*i - 13049 = 5*u - 12937. Suppose -2*v + 330 = 4*w, 2*v + 8 = -3*w + 256. Calculate the remainder when w is divided by i.
10
Let r(y) = 11*y - 315. Calculate the remainder when r(73) is divided by 41.
37
Calculate the remainder when 2429 is divided by 19838/156 - (-120)/144.
125
Suppose 2*n - 156 = -d + 92, 4*d + 5*n = 989. Let r(w) = 63*w - 991. Let f be r(13). Let g = d + f. What is the remainder when g is divided by 25?
24
Suppose 7*f - 4 + 60 = 0. What is the remainder when (f/6)/((-36)/4509) is divided by 42?
41
Suppose -5*t + 241 = -14. Let p be -21*143/(-77) + -1 + 1. Let r = t - p. What is the remainder when 23 is divided by r?
11
Suppose -4*x - 16*l + 5678 = -15*l, -5*l = -x + 1409. What is the remainder when x is divided by 22?
11
What is the remainder when 4/(24731/(-3535) - -7) is divided by 102?
92
Suppose -4*o - 103 = -115. Suppose -k - 5*p - 15 = 0, -16*k + 15*k + 17 = -o*p. Calculate the remainder when 51 is divided by k.
1
Suppose 104*j + 131*j = -11*j + 21402. Let v = -30 - -51. Let y = 23 + v. What is the remainder when j is divided by y?
43
Suppose -9*c + 14*c = 1770. Let g = 527 - c. Calculate the remainder when g is divided by 35.
33
Let y(q) = 50*q + 3. Let a be y(2). Let g = a - 7. Calculate the remainder when g is divided by 7.
5
Suppose 0 = -3*z + 33 - 105. Calculate the remainder when 151 is divided by 8/10*(z - -34).
7
Suppose 4*j + 5*g = 864, -g - 8 = g. Suppose -25*t - 17*t + 1508 = -16*t. Calculate the remainder when j is divided by t.
47
Let x(d) be the first derivative of -d**4/4 - 16*d**3/3 - d**2 - 5*d - 55. Calculate the remainder when 103 is divided by x(-16).
22
Suppose -7*u - 281 = -1065. Suppose -5*t + u - 17 = 0. Calculate the remainder when t is divided by 2.
1
Let x = 6 - 1. Calculate the remainder when (120/90)/((-264)/33*1/(-354)) is divided by x.
4
Let o be (42/14)/(6/(-220)). Let i = 199 + o. Calculate the remainder when i is divided by 39.
11
Let f(v) = 58*v - 238. Let i(w) = -w**3 - 11*w**2 - w + 8. Calculate the remainder when f(5) is divided by i(-11).
14
Suppose 0 = -195*a + 80878 + 183754 - 90692. Calculate the remainder when 946 is divided by a.
54
Let i = -35 - -27. Let v(z) = -z**2 - 13*z + 14. Let n be v(i). Let t = -16 + n. What is the remainder when t is divided by 8?
6
Suppose 4*g = 8*g - 84. Let s = 8607 + -8488. What is the remainder when s is divided by g?
14
Suppose 15*z - 19*z - 4*p = -124, -2*z + 2*p + 78 = 0. Suppose -z*h + 1129 = -1111. What is the remainder when 254 is divided by h?
62
Suppose -h + 13*d - 15*d = -897, 0 = 4*h - 2*d - 3568. Suppose -7*t + h = 690. What is the remainder when t is divided by -1*(-2 + -7) - 1?
5
Let z(a) = -3096*a - 21662. Suppose 0 = -3*o + 16 + 2. What is the remainder when o/(-9) - 879/(-9) is divided by z(-7)?
7
Calculate the remainder when (10122/63)/(18/459) is divided by 25.
22
Let l = 499 - 482. Calculate the remainder when 1308 is divided by l.
16
Let n(x) = 3*x**2 - 72*x + 17. What is the remainder when 744 is divided by n(24)?
13
Let y(r) = -9*r - 2. Let p be y(-1). Suppose -5*i + 3 = -p. Suppose -o + 7 + i = 0. What is the remainder when 40 is divided by o?
4
Suppose -x - 2*d + 59 = 0, -2*x + d = -7*x + 295. Let o(p) = 141*p**2 + 3244*p + 38. Calculate the remainder when x is divided by o(-23).
14
Let h(x) = x**3 + 8*x**2 + 7. Let b be h(-8). Suppose 30 = b*a - a. Suppose 4*q - 3*r = 39, a*q - 60 = q - 4*r. What is the remainder when 83 is divided by q?
11
Let m = 162 - 76. Let r = -80 + m. Suppose 0 = 2*o - 5*l - 50, -5*o + r*o = 3*l + 26. What is the remainder when 179 is divided by o?
19
Suppose 0 = -37*r + 166*r - 5467536. Calculate the remainder when r is divided by 49.
48
Suppose 5*v - 14*v = -1206. Suppose -h = -v + 132. Suppose 221 - 69 = h*x. What is the remainder when x is divided by 7?
6
Let i(m) = 12*m - 94. Let o(v) = -v**3 + 22*v**2 - 20*v - 11. Let c be o(21). Calculate the remainder when 57 is divided by i(c).
5
Suppose -9280 = -5*n - 35*c + 30*c, 3*c = n - 1876. What is the remainder when n is divided by 110?
101
Suppose 0 = 15*j + 3937 - 8707. Calculate the remainder when j is divided by 112.
94
Let h be 7 + -6 - 11*-1. Suppose h*u - 495 + 3 = 0. What is the remainder when u is divided by 88/6 + (-2)/(-6)?
11
Suppose -o - 484 = 3*n, -2*n - o - 319 = -4*o. Let a = 165 + n. What is the remainder when 22 is divided by a?
2
Suppose -127*a + 137*a = 70. What is the remainder when 81 is divided by a?
4
Suppose a + 0 = 3. Suppose a*x + x + 72 = k, -5*k + 339 = x. What is the remainder when k is divided by 6?
2
Suppose m - 247 + 34 = 0. Let f be 