3*t + 5, t = f. Let y = -54 + f. Let q = -15 - y. Calculate the remainder when q is divided by 13.
9
Let x = 12568 + -12343. What is the remainder when x is divided by 59?
48
Suppose 7*h + 2*h = -117. Let q = h + 76. What is the remainder when 375 is divided by q?
60
Let p = 44915 - 44901. Let q = 52 + 112. What is the remainder when q is divided by p?
10
Let d(o) = -59*o + 4968. Calculate the remainder when 824 is divided by d(80).
80
Let o be (144/(-24))/((-2)/12). Suppose 3*x + 2*l - 12 = o, 5*x = -l + 73. Calculate the remainder when 41 is divided by x.
13
Let f(c) = 3*c + 52. Suppose 3*d = 4*t + 2*d + 59, t = -d - 16. Suppose -5*x + 73 = -52. What is the remainder when x is divided by f(t)?
4
Let t be -1415*2/6 - (-42)/63. Let d = t + 482. Calculate the remainder when 16 is divided by d.
5
Suppose -2*k + 3*x = -7*k + 774, -2*x - 300 = -2*k. What is the remainder when 411 is divided by k?
105
Suppose 126 = 17*u - 12*u - 3*y, 0 = -3*y + 9. Calculate the remainder when 1133 is divided by u.
26
Suppose 3*i - 4*i - 23 = 2*h, 19 = -h - 2*i. Let m be -1 - (h - -2 - 3). What is the remainder when 79 is divided by 3/(m/6) + 18?
19
Suppose 0*f = 5*f - 1015. Suppose 3*k - f = 103. Let z = 1628 - 1615. Calculate the remainder when k is divided by z.
11
Suppose 4*m - c - 562 = 0, 0 = 2*m + 4*c - 35 - 255. Let k = 1440 - 1403. Calculate the remainder when m is divided by k.
30
Suppose 3*c + 3*p - 67 = 80, -4*p = -20. Suppose 3*a - 3*k - 37 - 89 = 0, -48 = -a + 4*k. Let v = c - a. Calculate the remainder when v is divided by 3.
1
Suppose k - 5 = 0, 2*c - c + k = 5. Let u(x) = x**3 + x**2 + 11*x + 41. Calculate the remainder when u(c) is divided by 7.
6
Suppose -14*i + 6*i - 72 = 0. Calculate the remainder when 31 is divided by (-9 - 72/i) + 13*1.
7
Suppose 0 = 64*g + 26*g - 9*g - 972. Calculate the remainder when (-10 + 4)*(-20)/6 is divided by g.
8
Suppose -4*h = 12, -3*f + 1 = -h - 461. Calculate the remainder when f is divided by 20.
13
Let w = 11209 - 11163. Calculate the remainder when w is divided by 106/6 + 1/3.
10
Let r(b) = 2*b**3 + 70*b**2 + b - 301. What is the remainder when r(-33) is divided by 19?
13
Suppose 27*a - 1961 = -2*a + 4332. Calculate the remainder when 1287 is divided by a.
202
Let z be (1 + (-2)/4)/((-7)/(-1358)). Calculate the remainder when (z/(-2))/((-3)/6) is divided by 32.
1
Suppose -670 = -5*x - 4*d, -512*x + 402 = -509*x + d. Calculate the remainder when 260 is divided by x.
126
Let c(q) = 36*q - 43. Let f be c(17). Let o = -556 + f. What is the remainder when (-4)/(-10) - 446/(-10) is divided by o?
6
Suppose 48999*o = 48984*o + 330. Suppose -66 = -3*k + k. What is the remainder when k is divided by o?
11
Suppose -15 = -2*j + 15. Let k = 131 - -126. Suppose 0 = -3*z - 35 + k. Calculate the remainder when z is divided by j.
14
Let m(k) = -9 + 1 - 29*k + 19*k - 6 - 32*k. What is the remainder when m(-2) is divided by 8?
6
Suppose 33 = 3*a - 15. Suppose 3*o + 31 + 233 = 3*q, 3*q + 324 = -4*o. Calculate the remainder when -10*(6 + o/10) is divided by a.
8
Let i = 2242 + -2219. Let j = -9 - -20. Calculate the remainder when i is divided by j.
1
Suppose 3*o = 2*j - 28, 2*o - 91 = -3*j - 10. Calculate the remainder when 54 is divided by j.
8
Let s = 5198 - 5177. What is the remainder when 5181 is divided by s?
15
Let y = 2699 - 2420. Let c(r) = -143*r. Let h be c(1). Let p = h + y. Calculate the remainder when p is divided by 23.
21
Let i(c) = 3*c**2 - 71*c + 73. Calculate the remainder when i(42) is divided by 8.
7
Suppose -s - 3*o + 309 = 0, 212*s = 211*s + 3*o + 345. What is the remainder when s is divided by ((-15)/(-10))/(3/20)?
7
Let w = -874 - -905. Let r = 532 - 348. Calculate the remainder when r is divided by w.
29
What is the remainder when 10 + 8/((-88)/(-14399)) is divided by 35?
24
Let i(h) = 6*h**2 + 4*h + 9. Suppose 5*g + 6 = -k, 12 = 2*g - 4*g + 2*k. What is the remainder when 249 is divided by i(g)?
24
What is the remainder when 246 is divided by (2 - (27 + -26 + 4/6))*69?
16
Let b(s) = 3*s**3 - 92*s**2 + 56*s + 142. Calculate the remainder when 341 is divided by b(30).
11
Suppose 0*m = -3*k - 4*m - 14, 0 = 5*k + 2*m. Let f(c) = 4*c + 111*c**3 - 4*c**k + 2*c - 3*c. What is the remainder when f(1) is divided by 28?
26
What is the remainder when 353 is divided by 1/(-4) + 2849/148?
11
Suppose -427 = -u + 4*w, -427 = -5*u + 3*w + 1623. Let z = -344 + u. Calculate the remainder when z is divided by 24.
15
Suppose 4 = -2*z, -2*f + 3*z + 16 = -0*f. What is the remainder when f is divided by -5 + -2 - -4 - 8/16*-10?
1
What is the remainder when 87 is divided by (-6)/((-8 - 2)/10)?
3
What is the remainder when 1583 is divided by (-6)/(-11) - (-1806)/77?
23
Let t(v) = -4*v**2 + 111*v - 55*v - 57*v - v**3. Let n be t(-4). Let u(c) = 2*c**2 - 9*c + 15. What is the remainder when 21 is divided by u(n)?
10
Suppose 5*t - 3*v - 75 = -7, -3*v = -2*t + 20. Let d(k) = 419*k - 2053. Calculate the remainder when d(5) is divided by t.
10
Suppose i + 3*l - 10 = 0, -32*l + 35*l = -9. Suppose -v + 388 = 3*v. Let h = v + -46. What is the remainder when h is divided by i?
13
Suppose -2*a - 379 = -3*i, -2*i + 62 = 4*a - 212. Let k(w) = 12*w**3 - w**2 - w + 2. Calculate the remainder when i is divided by k(1).
9
Calculate the remainder when -228*(12 - 4 - 10) is divided by 80.
56
Let b(z) = 15*z**2 - 440*z + 878. Calculate the remainder when 449 is divided by b(2).
43
Let f = 6325 - 6279. Calculate the remainder when 239 is divided by f.
9
Let q(u) be the second derivative of -7/6*u**4 + 7/3*u**3 + 1/20*u**5 + 12*u + 0 + 3/2*u**2. What is the remainder when q(13) is divided by 11?
5
Let s = 146 - 246. Let i = s - -151. What is the remainder when 98 is divided by i?
47
Let f = 3042 + -2965. Calculate the remainder when 391 is divided by f.
6
Let g = -3336 - -4012. Calculate the remainder when g is divided by 113.
111
Let y = 3125 + -3046. What is the remainder when 938 is divided by y?
69
Let n = -4374 - -4579. Calculate the remainder when n is divided by 108.
97
Let a = -163 - -174. Suppose -2*b - 74 = -954. Suppose -a*t = -t - b. Calculate the remainder when t is divided by 15.
14
Let h(k) = -31*k**2 - 181*k - 12. Calculate the remainder when h(-5) is divided by 17.
16
Let o be ((-12)/4)/((-5)/((-2080)/(-6))). Suppose 0 = 4*b + 4*u - o, -7*u + 9 = -10*u. Calculate the remainder when b is divided by 14.
13
Suppose -5*f = -5*r - 50, -2 + 7 = 2*f + 3*r. Suppose -f*y + 273 = 14. Suppose -y = -3*t + 32. What is the remainder when t is divided by 7?
2
Suppose 11 = 2*w - 11. What is the remainder when ((-1008)/(-192))/(14/48) is divided by w?
7
Let z = 2906 + -2880. Calculate the remainder when 201 is divided by z.
19
Suppose -11*g = -340 + 65. What is the remainder when g - 30 - (-181 - 0) is divided by 15?
11
Let v = 5615 - 5542. Calculate the remainder when 888 is divided by v.
12
Suppose -20705 = 1848*h - 1889*h. Calculate the remainder when 1525 is divided by h.
10
Let r = 881 + -806. What is the remainder when 211 is divided by r?
61
Suppose -775 - 614 = -27*y + 1284. What is the remainder when y is divided by 500/(-30)*6/(-5)?
19
Calculate the remainder when 32*(-19)/(-1216)*(956 + 2) is divided by 211.
57
Let o(h) = -h**3 - 40*h**2 - 406*h - 114. Suppose -2*a + 4*z = -5*a + 53, -2*a + 4*z + 42 = 0. Calculate the remainder when o(-21) is divided by a.
14
Suppose -62*r + 3620 = -72*r. Let t = 371 + r. Calculate the remainder when 42 is divided by t.
6
What is the remainder when 176 is divided by 91/2 + (3 + -30)/(-54)?
38
Suppose -5*a - 5*b + 77 = 2, 0 = -3*b + 9. Calculate the remainder when 92 is divided by (16/a)/((-1565)/315 - -5).
8
Let y(m) = -m**2 - 4*m + 36. Calculate the remainder when ((-6)/4)/(((-3)/(-94))/(-1)) is divided by y(4).
3
Suppose -51*v = 4*a - 50*v - 7138, -3*v = -7*a + 12520. What is the remainder when a is divided by 49?
22
Let o(w) = -250*w + 8030. Calculate the remainder when 1421 is divided by o(32).
11
Let r(g) = g**2 + 10*g + 26. Let w be r(-5). Suppose 3 + w = -2*a. Let s(f) = -21*f - 1. What is the remainder when s(a) is divided by 22?
19
Let r be 36/(-72) - (-1235)/(-2). Let i = -588 - r. What is the remainder when 67 is divided by i?
7
Calculate the remainder when (-1)/3 - (-1502)/6 is divided by -2