 = -5*n - 3*f + 115, b*n + 2*f - 92 = -2*f. What is the remainder when n is divided by 13?
10
Suppose 35*i = 33*i + 260. Calculate the remainder when i is divided by 4.
2
Suppose -4*u = l - 51, 12*u - 27 = 10*u + l. Suppose 0 = -4*o, -h + 6 = 5*o - 2*o. Calculate the remainder when u is divided by h.
1
Let m(n) = 3*n**2 - 42*n + 21. Calculate the remainder when 41 is divided by m(14).
20
Suppose -5*l = -0*l. Suppose 4*p - 5 = 3*u, 0*p = 2*u + 2*p - 20. What is the remainder when 3 + (-4 - -19) + l is divided by u?
3
Let u(i) = 3*i**2 + 14*i - 94. What is the remainder when u(9) is divided by 82?
29
Suppose 0*l = -5*m + 4*l + 94, -2*l - 102 = -5*m. Suppose 2*j + 2*u = 172, 30*j = 35*j - 2*u - 423. Calculate the remainder when j is divided by m.
19
Suppose 0 = -6*x + x + 205. Let i(a) = a**3 + 6*a**2 - 10*a - 10. Let c be 2/(-9) + 244/(-36). What is the remainder when x is divided by i(c)?
8
Suppose 0 = -g + 9 - 1. Let v(y) = 5*y**2 + 7*y - 9. Let p(n) = -n**2 - n + 1. Let c(u) = 4*p(u) + v(u). Calculate the remainder when c(-6) is divided by g.
5
Suppose -35 = -3*u + 235. Let f = -13 + u. Suppose -5*j = -f - 18. Calculate the remainder when j is divided by 10.
9
Let t(r) = -8*r - 88. What is the remainder when t(-19) is divided by 24?
16
Let t be ((-24)/(-3))/4 - 2. Suppose 4*w - 9*w + 255 = t. Calculate the remainder when 98 is divided by (w + -1)/((-10)/(-5)).
23
Suppose -5*s + 114 = 4*j, 4*j - 7*j + 5*s + 68 = 0. Let t be 1/(-3) + (-1)/(-3). Suppose t = d - 4*d + 21. What is the remainder when j is divided by d?
5
Let g(v) = 30*v**2. Suppose -4*p + 10*p - 246 = 0. What is the remainder when g(2) is divided by p?
38
Suppose 5*t - 4*z - 309 = 0, 0 = -2*t - z + 55 + 79. Calculate the remainder when 133 is divided by t.
3
Let r = 26 - 16. Let i(w) = 10*w**2 + 3*w + 3. Suppose -4*k - 8 = -0*k. What is the remainder when i(k) is divided by r?
7
Suppose 6*c = 7*c - 237. What is the remainder when c is divided by 6?
3
Let h = 170 + -151. What is the remainder when h is divided by 3?
1
Let o(a) = 2*a - 2. Let r be o(-2). Calculate the remainder when (-579)/(-15) + r/(-15) is divided by 2 - (1 + 9/(-1)).
9
Let p(u) = u**2 + 4. What is the remainder when 6/(-2) - 14/(70/(-1335)) is divided by p(-7)?
52
Let t be (6/(-10))/((-5)/25). Suppose -2*k - 112 = -4*u + 2*k, -2*k = 2. Calculate the remainder when u is divided by 3 - 22/(1 - t).
13
What is the remainder when (-7)/(21/(-78)) + -3 is divided by 220/30 - 4/3?
5
Let o = -28 + 10. Let l = o - -27. What is the remainder when l is divided by (-6)/5*(-10)/3?
1
Suppose -4*r - 125 = -5*i, -3*i - r + 116 - 24 = 0. What is the remainder when 107 is divided by i?
20
Suppose 0 = -11*f + 8*f + 48. Calculate the remainder when f is divided by 204/28 + 4/(-14).
2
Suppose 2*q - 24 = 2*p, -4*q + 2*p + 3 + 37 = 0. Calculate the remainder when 150 is divided by q.
6
Suppose 3*q + 3*d - 69 = 0, q + d - 20 = -d. Let x = 280 - 232. What is the remainder when x is divided by q?
22
Suppose -5*g = 13*a - 14*a + 49, 0 = 5*a - 5*g - 265. Calculate the remainder when a is divided by 30.
24
Calculate the remainder when 74 is divided by 9/(-12)*4 - -10.
4
Let z = -58 + 156. Suppose d + 616 = -7*d. Let h = -52 - d. Calculate the remainder when z is divided by h.
23
Let m = -325 + 332. What is the remainder when 48 is divided by m?
6
Let m = 20 + 4. Calculate the remainder when 95 is divided by m.
23
Calculate the remainder when 57 - (3 - (1 + 7)) is divided by 22.
18
Let x(h) = -3*h**2 + 59*h - 27. What is the remainder when 116 is divided by x(18)?
53
Let h = 1459 + -1280. What is the remainder when h is divided by 62?
55
Let p = 1379 - 1363. Calculate the remainder when 363 is divided by p.
11
Let d(w) = w + 23. Let h be d(-17). Let t(b) = b + 5. Calculate the remainder when 19 is divided by t(h).
8
Calculate the remainder when 80 is divided by (-7168)/(-168) - (-1 - 10/(-6)).
38
Let u be (-2 + 11/(-2))*(4 - 2). Let d = 32 - u. What is the remainder when d is divided by 25?
22
Suppose 2*s - 70 - 2 = -5*q, -200 = -4*s + 4*q. Let d = 67 - s. Calculate the remainder when 39 is divided by d.
18
Suppose 20*a - 1296 = -4*a. Calculate the remainder when a is divided by 5.
4
Suppose 16*v - 257 = 671. What is the remainder when v is divided by 37?
21
Suppose -2*o + 5*u = o - 74, -5*o = 3*u - 112. What is the remainder when o is divided by 9?
5
Let m(j) = 2*j**2 - 41*j + 391. Calculate the remainder when m(14) is divided by 53.
50
Suppose 594 - 2629 = -11*a. Calculate the remainder when a is divided by 32.
25
Let y(i) = -2*i**2 + 13*i + 5. Let x(o) = -4*o**2 + 26*o + 11. Let s(t) = 2*x(t) - 5*y(t). Calculate the remainder when 82 is divided by s(8).
19
Suppose -4*a + 1740 = m + 459, 2*a - 4*m = 654. Calculate the remainder when a is divided by 65.
61
Calculate the remainder when 93*(-1)/(-18)*6 is divided by 16.
15
Suppose -2*i + 22 = -0*i - 2*c, 2*c = -4*i + 56. Calculate the remainder when 257 is divided by i.
10
Let z = 413 + -307. What is the remainder when z is divided by 53?
0
Calculate the remainder when 833 is divided by (5/(-4))/5*-372.
89
Let h(m) = m**3 - 5*m**2 + 4*m - 3. Suppose 5*g + 2*i - 4*i - 7 = 0, 5*g - 3*i - 3 = 0. Suppose 22 = 5*b - g. What is the remainder when 32 is divided by h(b)?
15
Suppose 7*w = 144 + 3. Suppose 4*m = -3*f + 120, -m - m - 40 = -f. Calculate the remainder when f is divided by w.
19
Let y = 3 + 48. What is the remainder when y is divided by 9?
6
Let s be 30/(-21)*(-28)/4. Suppose 30 = -s*a + 12*a. What is the remainder when 58 is divided by a?
13
Let o be 64/(-10) + (-2)/(-5). What is the remainder when (51/15)/(1/15) is divided by ((-9)/o)/(2/36)?
24
Let c = 1914 + -1904. What is the remainder when 322 is divided by c?
2
Suppose 570*x = 583*x - 234. What is the remainder when 431 is divided by x?
17
Suppose p = 4*v - 3, -8*v + p = -3*v - 3. Suppose 2 = 5*l - m, 2*m + 4 + v = -4*l. Suppose 5*j = -l*j + 125. Calculate the remainder when 97 is divided by j.
22
Suppose -47*z - 410 + 2478 = 0. What is the remainder when 835 is divided by z?
43
Let w be 6/(-6)*396/(-2). Suppose -w - 39 = -3*k. What is the remainder when k is divided by 27?
25
Let z(o) = 2*o**3 - 13*o**2 + 2*o - 17. Calculate the remainder when 128 is divided by z(7).
36
Suppose -63 = -2*v + 4*l + l, 3*l = -3. Suppose 10*f = 25 + 75. Suppose 0 = s + 2*z - 12, z = -5*s + f + 32. Calculate the remainder when v is divided by s.
5
Calculate the remainder when 32 is divided by 2/(-6) - 224/(-24).
5
Suppose 0 = -3*r - 3, 5*m - 345 = r + 211. Let p = 168 - m. Calculate the remainder when p is divided by ((-36)/30)/(4/(-50)).
12
Let k(g) = 2*g**3 - 6*g**2 - 2*g + 8. What is the remainder when k(5) is divided by 17?
13
What is the remainder when 16/(-12)*(-276)/8 is divided by (-4)/(-6) - (-84)/9?
6
Let i(l) = -l**2 + 16*l - 1. Let d = -21 - -27. Calculate the remainder when i(d) is divided by 15.
14
Suppose -800 + 2240 = 48*x. What is the remainder when 84 is divided by x?
24
Let t(b) = -9*b - 345. Calculate the remainder when t(-42) is divided by 9.
6
Let i(f) = f**3 + f**2 - f + 1. Suppose -2*t - 6 = -t. Calculate the remainder when i(1) is divided by (-3)/t*2 + 0.
0
Let i(s) = -s**3 - 16*s**2 + s + 21. Let t be i(-16). Calculate the remainder when 16 is divided by 1/(-1*(-1)/t).
1
Let v = 35 + -14. Let s(p) = p**2 - 15*p - 80. Calculate the remainder when s(-8) is divided by v.
20
What is the remainder when (197 + (2 - 12/(-3)))*1 is divided by 108?
95
Let k(b) be the first derivative of -3*b**2 - 4*b + 39. Suppose -g - 3*m + 4 = -8, -g - 2*m + 7 = 0. Calculate the remainder when 40 is divided by k(g).
12
Let c be -6 - -5 - (3 - 22). Suppose -20*f + c*f + 130 = 0. What is the remainder when f is divided by 23?
19
Let o = 297 - 251. Calculate the remainder when o is divided by (-207)/(-12) + 6/(-24).
12
Suppose 59 = 2*k - h, k - 3*h - 15 - 17 = 0. What is the remainder when k is divided by (3/(-9))/(5/(-165))?
7
Let u = 98 + -94. Let m(n) = n**3 - 3*n**2 + 2*n - 4. What is the remainder when u is divided by m(3)?
0
Suppose j = -4*r - 2, 5*j - r - 47 = -2*r. What is the remainder when j is divided by (108/15 - 1) + (-29)/145?
4
Let q(u) = 15*u**3 + 4*u**2 - 24*u**3 + 8*u**3. Calculate the remainder when 35 is divided by q(2).
3
Let l = 8