 336 + -343. Let x(b) = -b**3 - 3*b**2 - 20*b - 158. Calculate the remainder when x(k) is divided by 9.
7
Let t(l) = 21*l + 48. Suppose 124 - 58 = 6*a. Let r be t(a). Suppose -492 = -5*u + 4*x, u = -2*u - 3*x + r. What is the remainder when u is divided by 26?
18
Suppose -3*j + 2201 = 5*b, -2194 = 4*b - 9*b - 2*j. What is the remainder when 447 is divided by b?
11
Let y(c) = c**2 + 9*c + 5. Suppose 138 = -27*o - 159. What is the remainder when 350 is divided by y(o)?
26
Let h be (-175)/70 + (-10)/(-4). Suppose h = 12*k + 201 - 801. Calculate the remainder when k is divided by 18.
14
Let w = -492 - -506. Let d = -30 - -39. What is the remainder when w is divided by d?
5
Let f = 5733 - 5503. Suppose -4*u + 2*u + 4*r = -74, -u + 45 = -4*r. What is the remainder when f is divided by u?
27
Suppose -60*q + 3300 = 160*q. What is the remainder when 2493 is divided by q?
3
Suppose o + 40 = 3*o. What is the remainder when ((280/(-7))/5)/((-6)/72) is divided by o?
16
Suppose 8*h - 5 = -37. Let s(l) = -10*l**3 - 6*l**2 - 4*l - 17. Calculate the remainder when s(h) is divided by 16.
15
What is the remainder when 7827 is divided by ((-78)/(-182))/(4/420)?
42
Suppose 5*r + 0*r - 5*p = 30, 2*p = -4*r - 6. Suppose -4*f = 4*u - 32, u + 2 + 1 = 0. What is the remainder when f is divided by r?
0
Let u(r) = 3*r**2 + 5*r + 4. Let y be u(-4). Let c = 70 - y. Suppose c - 133 = -5*h. What is the remainder when 110 is divided by h?
15
Suppose -y = 5*b - 137 - 58, -3*b = 2*y - 117. Suppose 11*i - 1044 = 1937. What is the remainder when i is divided by b?
37
Let r(h) = 15 - h - 105 + 36*h - 84. Calculate the remainder when r(7) is divided by 8.
7
Let f = -663 - -1062. Let t = 591 - f. Let d = t - 123. Calculate the remainder when d is divided by 14.
13
Let k = -5761 - -5831. What is the remainder when 390 is divided by k?
40
What is the remainder when 847 is divided by (-95 + 5)/10 + 126?
28
Suppose -4*v - 2*a + 1382 = 0, 235 - 1623 = -4*v + 4*a. Calculate the remainder when 724 is divided by v.
32
Suppose -15*z = 10 - 70. Suppose -z*k = -4*c + 516, 4*k - 55 - 69 = -c. What is the remainder when c is divided by 10?
8
Suppose -24334 = -41*g + 12648. What is the remainder when g is divided by 151?
147
Calculate the remainder when 9162 is divided by 2430/1944 + 2/(16/606).
76
What is the remainder when ((-1506)/3)/((-3)/3) - 9 is divided by 69?
10
Suppose u = -4*t - t + 31, -4*u - 5*t + 124 = 0. Calculate the remainder when (19 - 559/26)/((-3)/72) is divided by u.
29
Let q(j) = -8*j - 2. Let o be q(-2). Suppose 0 = -o*i + 154 + 140. Suppose -i = 3*u - 75. Calculate the remainder when 68 is divided by u.
14
Let a = -191 + 192. Calculate the remainder when 23/((-1)/(-5 + 0)*a) is divided by 20.
15
Let p(m) = -17 + 29*m + 18 - 5*m. Suppose 20*h = -489 + 789. What is the remainder when p(1) is divided by h?
10
Let h(m) = 6*m + 5. Let v be h(-3). Let w = 13 + v. Suppose -3*z = 4*u + u - 114, w = 2*z - 3*u - 57. Calculate the remainder when z is divided by 18.
15
Suppose -117*z + 1312 = -113*z. Let i = z - 16. Suppose -4*k - 5*x = -i, 0*x - 5*x - 269 = -3*k. Calculate the remainder when k is divided by 21.
20
Let h(y) = -2*y + 20. Let p be (-1)/2*(-1)/(-2)*0. Calculate the remainder when h(p) is divided by 8.
4
Let v(y) = 222*y**3 - 5*y**2 - 183*y + 188. Calculate the remainder when 646 is divided by v(1).
202
Let h(g) = g**2 - 3*g - 9. Let d be h(6). Suppose -360 = d*v - 21*v. Calculate the remainder when 37 is divided by v.
7
Let b be (2 - 2/(-5)) + (-122)/305. Suppose c - 2*d - 74 = 0, -63 - 159 = -3*c + b*d. What is the remainder when 290 is divided by c?
68
Let p(x) = x**3 + 31*x**2 - 4*x - 47. Calculate the remainder when p(-31) is divided by 50.
27
Suppose -2*t + 2*r + 1326 = -148, 2*t = -4*r + 1492. Calculate the remainder when t is divided by 107.
98
Suppose 12004 + 55516 = 20*k. Calculate the remainder when k is divided by 6.
4
Suppose -2*n + 5*v + 835 = 0, 0 = 739*n - 738*n - 4*v - 428. Calculate the remainder when 1626 is divided by n.
26
Let m = -7010 + 7084. What is the remainder when 7102 is divided by m?
72
Suppose -18*y + 418465 = 417853. Suppose n - 610 = -n. Calculate the remainder when n is divided by y.
33
Let q(j) = j**2 - j - 5. Let v be q(4). Suppose 0 = v*n + 373 - 961. Suppose 12*y + n = 15*y. Calculate the remainder when y is divided by 10.
8
Suppose -2*j = -7*j + 2*i + 177, -2*i = 3*j - 103. Let b = -47670 - -47774. What is the remainder when b is divided by j?
34
Let p = 108 + -105. Suppose 4*b - p*y = 2*y + 902, 0 = -b - 4*y + 236. Calculate the remainder when b is divided by 23.
21
Let u(r) = -3228*r + 3284. Calculate the remainder when 6886 is divided by u(1).
54
Suppose 75*a = 15*a + 18434 + 57946. Calculate the remainder when a is divided by 44.
41
Calculate the remainder when (-27)/(-60)*(41 + -46)*(-11688)/9 is divided by 54.
6
Suppose -s = -17*s - 28*s + 1144. What is the remainder when 178 is divided by s?
22
Suppose 5*u - 4*f = 211, -2*u + 64 + 25 = 3*f. Calculate the remainder when 452 is divided by u.
22
Let g = 3 + -3. Suppose -b + 34 = -g*b. Suppose 658*a + 132 = 660*a. What is the remainder when a is divided by b?
32
Let x(n) = -99*n + 4180. Calculate the remainder when 589 is divided by x(42).
17
Let r(t) be the third derivative of -t**6/120 + 13*t**5/60 - 29*t**4/24 + 103*t**3/6 - 236*t**2. Calculate the remainder when 59 is divided by r(11).
7
Suppose -591*q - 752 = -589*q. Let h = 382 + q. Suppose 4*a + 144 = 4*v, -v + 12 = 4*a - 49. What is the remainder when v is divided by h?
5
Let b be (1*-3)/(-43 - -40). Calculate the remainder when 202 is divided by (3 - b)*(61 - 35).
46
Let j = -55 + 4. Let y be (12/10 + 0)/(j/(-170)). Suppose 4*z = 5*v + 74, -3*v - 38 - 32 = -y*z. What is the remainder when 43 is divided by z?
11
Let w = 5081 + -5025. Calculate the remainder when 277 is divided by w.
53
Suppose -3*r - 277*j = -278*j - 229, j = -5*r + 395. What is the remainder when 384 is divided by r?
72
Let y(m) = m**3 + 22*m + 32 - 2*m**3 - 28*m - 48 - 4*m**2. Calculate the remainder when 327 is divided by y(-4).
7
Let z = -2815 - -2872. Calculate the remainder when 754 is divided by z.
13
Let k = -6707 - -7866. What is the remainder when k is divided by 385?
4
Suppose -5*c + 118 = -0*c - 122. What is the remainder when 781 is divided by c?
13
Let w(d) = -1377*d + 1074. What is the remainder when w(-3) is divided by 42?
39
Let r(f) = 26*f**3 + 30*f**2 + 7*f + 1. Let h be r(-3). Let s = h - -1407. What is the remainder when s is divided by 29?
27
Let a = -2645 - -2677. Calculate the remainder when 252 is divided by a.
28
Suppose -41*r + 44*r - 5*k - 2143 = 0, -4*r + k + 2846 = 0. Calculate the remainder when r is divided by 80.
71
Suppose -3*h + 5*b = -56, 2*h - 120 = -3*h - 5*b. Let s be (-10)/14 + 4 - 2/7. Suppose 0 = -17*o + s*o + 868. Calculate the remainder when o is divided by h.
18
Let r = 48914 + -30393. What is the remainder when r is divided by 27?
26
Let p = 38 + 10. Let v = 116 - p. Let b = -38 + v. What is the remainder when b is divided by 2?
0
What is the remainder when -18*-2*(0 - 1143/(-36)) is divided by 378?
9
Let q(l) be the third derivative of 0 + 1/15*l**5 - 1/6*l**4 + 0*l + 14*l**2 + 1/120*l**6 - 4/3*l**3. What is the remainder when q(4) is divided by 27?
23
Let a(k) = 4 - 6 + 21*k + 2*k**2 + 8 + 0. Let f be a(-10). Calculate the remainder when (f/2)/(-2*(-3)/(-378)) is divided by 32.
30
Suppose -s - 3*m + 496 = 0, -319*m + 992 = 2*s - 323*m. What is the remainder when s is divided by 25?
21
Let w(d) = 50*d**2 - 1. Suppose 1035*v + 1078 = 1112*v. Calculate the remainder when w(-1) is divided by v.
7
Let m(y) = -107*y - 107. Suppose 0 = 57*a - 55*a + 14. Calculate the remainder when m(a) is divided by 43.
40
Calculate the remainder when 99 is divided by (7/((-252)/(-621)))/((-8)/(-32)).
30
Let s = 433 + -430. Suppose 2*v + 3 = -3, s*v - 6 = -5*u. Calculate the remainder when (18 - 0) + 2/2 is divided by u.
1
Let p = 3754 - 3741. Calculate the remainder when 217 is divided by p.
9
Let i = -10361 + 10638. Calculate the remainder when 5265 is divided by i.
2
Suppose 4*i = 5*s - 1972, s + 38*i - 34*i - 404 = 0. What is the remainder when s is divided by 57?
54
Let i(s) = -8*s**3 - 5*s**2 - 12*s - 90. Calculate the re