uppose -38*g = -101*g + 44*g + 1729. Calculate the remainder when 3905 is divided by g.
83
Suppose 3399 = 13*m + 18*m - 1530. Let t = 15 + -5. Calculate the remainder when m is divided by t.
9
Suppose 5*m = -2*j + 146, -2*m - 2*j - 2*j + 52 = 0. Let k(f) = 2*f - 6. Let w be k(5). Suppose 114 = w*b - m. What is the remainder when b is divided by 13?
10
Let x be (8*(-8)/(-64))/((-1)/(-10)). Suppose -12 = -2*q - x*q. What is the remainder when 63 is divided by ((-2)/(-4) + q)*2208/207?
15
Let d(b) = -7*b - 6. Suppose -5*z + 2*z = -6. Suppose 14 = v + z. What is the remainder when d(-4) is divided by v?
10
What is the remainder when 5790 is divided by (-15 - 1062/(-54))/(2/9)?
15
Suppose -6946*f + 13853*f - 6951*f = -295 + 75. Let x(c) = 4 + 1 + 2*c**2 - 5*c - 3. Calculate the remainder when f is divided by x(3).
0
Let d = 33600 - 32276. What is the remainder when d is divided by 12?
4
Let q(p) = -3*p + 39. Let w(s) = 1. Let d(i) = -q(i) + 18*w(i). Let u be d(13). Suppose -2*r - u = -3*r. Calculate the remainder when r is divided by 12.
6
Suppose -57*n - 19*n + 2592 = -4*n. What is the remainder when 640 is divided by n?
28
Let q(l) = l**3 - 43*l**2 + 12*l + 668. Calculate the remainder when q(43) is divided by 83.
22
Suppose -25 = -5*l - 0*l, 3*i - 4*l - 10 = 0. Calculate the remainder when 6669 is divided by i.
9
Suppose -8 = 4*v + 16. Suppose -3*b = i - 33, 43 = 5*i - b - 42. Let x = i + v. What is the remainder when 69 is divided by x?
9
Let g(v) = 8*v**3 - 2*v**2 - 2. Let x(p) = 631*p + 2535. Calculate the remainder when g(2) is divided by x(-4).
10
Let d be 5 + (-320)/45 + (-2)/(-18). Let y(a) = 6*a**2 + 8*a + 10. Calculate the remainder when 46 is divided by y(d).
10
Suppose 0 = -4*i + 4*v + 944, 2*v + 713 = 55*i - 52*i. What is the remainder when i is divided by 84?
73
Suppose -q - 4*q = 255. Let r be q/17 + 39/(-1). Let t = -36 - r. Calculate the remainder when 10 is divided by t.
4
Suppose -5*l + 283 = r, 2*l + 5*r = 80 + 24. What is the remainder when 1321 is divided by l?
10
Let n(k) = 2*k**3 + k**2 - 7*k + 6. Let v be n(-6). What is the remainder when (v/42 - -8) + (-186)/(-14) is divided by 5?
3
Suppose -126 = -31*i + 37*i. What is the remainder when (-4*12)/(i/28) is divided by 21?
1
Let r(h) = 13 + 6 + 60*h + 5 - 17 - 2. What is the remainder when r(2) is divided by 32?
29
Suppose 27432 = 146*q + 5240. What is the remainder when q is divided by 5?
2
Suppose -83 - 1762 = -4*h + x, -3*h - 5*x = -1424. Calculate the remainder when h is divided by 145.
28
Let d be 3/2 + (-7)/14. Let f be (d + (-3)/(-6))/(3/(-4)). What is the remainder when 93 is divided by f*(-180)/16 - (-9)/6?
21
What is the remainder when (-8)/3*498/(-4) is divided by -3 + -10*(-6)/5?
8
Let k(m) = 4*m + 29. Let o be k(-6). Suppose f - 24 = -4*n, o*f - 230 = -5*n + 7*n. What is the remainder when f is divided by 18?
8
Let c(b) = 138*b + 1953. Calculate the remainder when c(-13) is divided by 73.
13
Let y(u) = 41*u**2 - 21*u + 55. What is the remainder when y(3) is divided by 60?
1
Suppose -208*z + 203*z = 0. Suppose 0 = -x + 2, z = -4*k - 4*x + 172 + 72. What is the remainder when 193 is divided by k?
16
Let d = -38125 + 38310. Calculate the remainder when d is divided by 25.
10
Suppose 6*n - 2*n - g = 1496, 359 = n - 4*g. Suppose -5*a + 18 = -4*j - 232, 3*a - 2*j - 146 = 0. Calculate the remainder when n is divided by a.
39
Let f(j) = -j**2 - 76*j - 1338. What is the remainder when 1857 is divided by f(-43)?
75
Let d be 1012/66*(55 - 1). Suppose 24*t = t + d. What is the remainder when 112 is divided by t?
4
Let m(x) = 115*x - 16. Let u be m(1). Let w = u + -84. What is the remainder when 238 is divided by w?
13
Let j = 3 - -5. Calculate the remainder when 187 + -5*(-19)/(1045/(-66)) is divided by j.
5
Let f(o) = -619*o - 377. Calculate the remainder when f(-15) is divided by 22.
20
Suppose 2*g = o - 0*o - 183, 4*o - 4*g = 720. Suppose o = 5*i - s, 2*s = 5*i - 187 + 13. Calculate the remainder when i is divided by 14.
8
Let j = -531 - -562. Suppose -d + 6*d = -5. Let i = j + d. Calculate the remainder when i is divided by 16.
14
Let k = -38 - -50. What is the remainder when 578 is divided by (-5)/15 - (-6 - 628/k)?
56
Let s(t) = -57*t - 605. What is the remainder when s(-13) is divided by 5?
1
Let x be (-128)/24 + 4/(-18)*3. Let j be (-20)/(-120) + (145/x)/(-5). Suppose -j*p = p - 54. What is the remainder when 13 is divided by p?
4
Let r = 4 - 5. Let q(d) be the first derivative of 2*d**3 - 3*d**2/2 - 2*d - 119. What is the remainder when 31 is divided by q(r)?
3
Let b(o) = -o**2 + 7*o + 4. Let c be b(7). Suppose c*l + 0*l - 476 = 0. Let y = 1459 + -1429. What is the remainder when l is divided by y?
29
Suppose 5*n - 1 = -4*t + 339, 5*t + 3*n - 412 = 0. What is the remainder when 888 is divided by t?
8
Suppose 0 = 373*m + 3435 - 25442. Calculate the remainder when 278 is divided by m.
42
Suppose -8*r + 24 = -7*r. Suppose 53 = -4*o - 87. Calculate the remainder when (-42)/o*(-170)/(-3) is divided by r.
20
Let j(p) = -5*p + 1110. What is the remainder when j(80) is divided by 6?
2
Let j(n) = -n**2 + 58*n - 748. What is the remainder when 1361 is divided by j(21)?
27
Suppose -1493 = -3*f - 2*x, -x = 7*f - 12*f + 2497. Let t = -487 + f. Calculate the remainder when 52 is divided by t.
4
Suppose -4*g + 5*b + 435 = 0, 9 = 2*b - 1. What is the remainder when g is divided by 57?
1
Suppose 22*f = 21*f - 5093. Suppose 2*b - 66 = 4*b. Calculate the remainder when f/b + 1/(-3) is divided by 39.
37
Let o(x) = x**2 - 15*x + 3. Let s be 2 + (-164)/(-10) - (-2)/(-5). What is the remainder when o(s) is divided by 24?
9
Let d = 3464 - 3438. Calculate the remainder when 642 is divided by d.
18
Suppose -32*b + 39*b = 238. Let f(u) = 17*u**2 - u. Calculate the remainder when b is divided by f(-1).
16
Suppose 0 = -3*a + 15, -6*a - 116 = -3*v - 4*a. Suppose -8*i + 86 = -90. What is the remainder when v is divided by i?
20
Suppose -5*k + 332 = -208 - 175. What is the remainder when 2561 is divided by k?
130
Suppose 3*k = -2*a + 35, 15 = -2*a + 11. What is the remainder when 71 is divided by k?
6
Let h(p) = -8*p**3 + 14*p**2 + 52*p - 42. What is the remainder when h(-7) is divided by 5?
4
Suppose 8*q = 14*q - 12. Suppose 0 = -q*f + 10 + 6. What is the remainder when (152/32)/(2/f) is divided by 5?
4
Let b = 2546 + -2409. Calculate the remainder when 256 is divided by b.
119
Let g(h) = -6*h**2 + 72*h - 15. Let l = 486 + -476. Calculate the remainder when g(l) is divided by 14.
7
Let b(f) = 792*f + 5157. Calculate the remainder when 815 is divided by b(-6).
5
Suppose -6825 + 11330 + 12514 = 183*w. What is the remainder when 346 is divided by w?
67
Let z(f) = 7*f - 96. Let n be z(14). Suppose j - 2*c = 45 + 64, 216 = n*j - 2*c. What is the remainder when j is divided by 8?
3
Suppose 3*u - 34*u = -4216. Let o = 48 + 15. Calculate the remainder when u is divided by o.
10
Suppose 0 = 4*u + 5*o, 3*u + 4*o = 6*o. Suppose u = -8*q + 45 + 11. What is the remainder when 46 is divided by q?
4
Let l(h) = -h**3 - 9*h**2 + 10*h + 5. Let q = 8 - -2. Suppose j + 0 = -q. What is the remainder when 13 is divided by l(j)?
3
Suppose 25*x - 167*x + 87082 = -106. What is the remainder when x is divided by 66?
20
Let j = -238 - -355. Calculate the remainder when 1568 is divided by j.
47
Let z be (1 + 4/(-4))/(6/(-3)). Suppose -4*w - 9 + 93 = z. Calculate the remainder when 38 is divided by w.
17
Let i(b) = 3*b**3 - 2*b**2 - 7*b + 5. Let j be i(-4). Let p = j - -278. Calculate the remainder when p is divided by 6.
3
Let r(s) = s + 90. Let m be r(-23). Let u = m - 57. Calculate the remainder when 108 is divided by u.
8
Let m(a) = -418*a - 6176. Calculate the remainder when m(-53) is divided by 47.
45
Suppose 2*q + 23*d = 19*d + 988, -3*q - d + 1472 = 0. Suppose 87 = 3*k - 3*l, -3*k + 58 = -k - 4*l. What is the remainder when q is divided by k?
26
Suppose -9*v = -2*v - 49. Let x = 14 - v. Calculate the remainder when x is divided by -16 + (-1820)/(-110) - (-76)/22.
3
Let r(w) = 160*w**2 - 18*w + 37. Let c be r(2). Suppose -647*u + c*u = -216. Calculate the remainder when 500 is divided by u.
32
Let p be 0 + 23/3 + 1/3. Suppose 0 = v + 5*u - u + p, 5*u + 22 = -2*v. Let f = v + 20. Calculate the remainder when f i