+ n + 382. Calculate the remainder when z is divided by 21.
18
Let i = -820 + 1397. What is the remainder when i is divided by 29?
26
Suppose -29*d = 1635 - 6130. What is the remainder when d is divided by 13?
12
Let z = -248 + 261. What is the remainder when 16 is divided by z?
3
Let l be (22/6 - 4) + 7/3. Suppose -l*v + 40 = -a - 1, -76 = -4*v - 4*a. What is the remainder when 36 is divided by v?
16
Suppose -4*m - 20 = 8. Let d = 4 - -15. Let g = d + m. What is the remainder when 46 is divided by g?
10
Suppose 3693 = 22*x - 2577. Calculate the remainder when x is divided by 18.
15
Let h(f) = -f**2 + 10*f - 9. Suppose -7*r = -0 - 42. What is the remainder when 58 is divided by h(r)?
13
Let d(t) = -t**3 + 12*t**2 - 2*t + 11. Let v be d(13). Let u = v + 356. What is the remainder when u is divided by 35?
32
Let z = -124 + 123. Let v(a) = -28*a - 5. What is the remainder when 37 is divided by v(z)?
14
Let s = 53 - 21. Let f(r) = -11*r. What is the remainder when s is divided by f(-1)?
10
Let i(m) = 11*m**2. Let d be i(-1). Suppose 0 = -b + 4, b + d = 4*z - 53. What is the remainder when 82 is divided by z?
14
Let t(p) = p**2 + 5*p - 3. Let b be t(-5). Let j be 208/(-13)*b/(-4). What is the remainder when 126 is divided by -48*(56/j - -4)?
30
Let k = 363 - 356. Calculate the remainder when k is divided by (-33)/(-7) - 10/(-35).
2
Let g(l) = l**3 - 6*l**2 + 3*l. Calculate the remainder when 211 is divided by g(7).
1
Let c = 46 + -17. Suppose 2*v + 2 = 3*z - 35, -2*z + 22 = -2*v. Calculate the remainder when c is divided by z.
14
Let x(n) = -n**3 - 7*n**2 + 3*n. Calculate the remainder when x(-8) is divided by (-4*(-28)/(-64))/(1/(-4)).
5
Suppose 3*m - 10 = -m - a, -a - 17 = -5*m. Suppose -i - i = 0, -76 = -2*o - m*i. Calculate the remainder when o is divided by 10.
8
Suppose 3*p + 2*p + 5 = 0. Let g(o) = -19*o - 1. What is the remainder when ((-20)/8)/((-50)/(-120)) - -57 is divided by g(p)?
15
Let w(c) = -c - 1. Let d be w(-1). Let t(j) be the second derivative of -j**5/20 + j**3/6 + 11*j**2 - 17*j. What is the remainder when 63 is divided by t(d)?
19
Let z(x) be the second derivative of x**4/12 + x**3/3 - x**2 - 6*x. Calculate the remainder when z(5) is divided by (-73)/(-13)*3 + 50/325.
16
Suppose z = -4*h + 3*z + 82, -5*h + 85 = z. Calculate the remainder when 60 is divided by h.
6
Calculate the remainder when 253 is divided by ((-8)/(-14))/(1/56).
29
Let f = 3415 + -1878. Calculate the remainder when f is divided by 22.
19
Let c(y) = -142*y - 463. Calculate the remainder when 205 is divided by c(-4).
100
Let t(d) = 2*d**2 - 7*d - 177. What is the remainder when t(14) is divided by 17?
15
Let m(k) = -2*k**2 - k - 11. Let p(z) = z**2 + 1. Let i(t) = m(t) + 3*p(t). Calculate the remainder when 47 is divided by i(5).
11
Suppose -b + 5*b = -36. Let n(u) = u**2 + 8*u - 13. Let i be n(b). Calculate the remainder when (-6)/i - (-78)/4 is divided by 12.
9
Let r(t) = t**2 + 10*t - 17. Let p be r(5). Let o = p + -31. What is the remainder when 78 is divided by o?
24
Suppose 2*r - 12 - 26 = 0. Calculate the remainder when r is divided by 18.
1
Let u(s) = -4*s - 20. Let o be u(-14). Suppose -r + o = r. What is the remainder when 6/(-24)*2*-104 is divided by r?
16
What is the remainder when -11 + 18 - (8 + -4 + -8) is divided by 8?
3
Let z be (-5)/(-1)*8/20. Suppose z*d - 27 = 2*l + l, -3*d - 2*l + 21 = 0. Let x(w) = -w + 9. Calculate the remainder when d is divided by x(4).
4
Let k(j) = -j**3 + 7*j**2 - 3*j - 4. Calculate the remainder when k(5) is divided by 17.
14
Let y = 72 + -21. Let p = -46 + y. Calculate the remainder when 17 is divided by p.
2
Let p = 308 + -298. Calculate the remainder when 18 is divided by p.
8
Suppose 24*w = 18*w + 126. Let a = -13 + 25. Calculate the remainder when w is divided by a.
9
Let k(x) = -x**3 - 2*x**2 + 5*x + 3. Let p be k(-3). What is the remainder when 5 is divided by (3/(-6))/(p/18)?
2
Suppose -7*y = -y. Suppose 0 = n - 5*l - 70, -2*n + 7*n + 2*l - 350 = y. Suppose 4*x - 20 = 0, -4*i + x = -x - n. What is the remainder when i is divided by 11?
9
Let r be 34/5 - 32/40. Suppose 0 = -4*n + 2*u + 114, -4*u + 54 = 2*n - r*u. What is the remainder when n is divided by 12?
6
Suppose 2*j - 18 = -0. Suppose 0 = v - 7 - 8. Suppose -3*p - 18 + 7 = -5*d, -p + v = 3*d. Calculate the remainder when j is divided by p.
0
Let v be (2 + 4/(-5))*(0 + 5). Calculate the remainder when 1016/14 - v/(-14) is divided by 38.
35
Suppose -39 = -2*h + 5*a, 5*h - 43 - 11 = -2*a. Let d be (-6)/(-51) + (-389)/(-17). Suppose 25*k - h = d*k. What is the remainder when 16 is divided by k?
4
Suppose -42 = -12*f + 11*f - 2*o, 5*f - 3*o - 158 = 0. Calculate the remainder when f is divided by 4.
2
Suppose 0 = 12*j - 7*j - 245. Let l(g) = -g**3 - 12*g**2 - 2*g + 2. What is the remainder when j is divided by l(-12)?
23
Suppose 5*r - 15 = 3*p, 2*r = -2*p - p + 6. Calculate the remainder when 24/(r/(234/12)) is divided by 40.
36
Let d = 123 - 114. What is the remainder when d is divided by 5?
4
Let l be (-47)/(-4)*(-3 - 1). Let d = -44 - l. What is the remainder when 5 is divided by d?
2
Let o(h) = -h**2 + 33*h - 168. What is the remainder when o(26) is divided by 11?
3
Let c = -15 + 20. Suppose 3*g = c + 22. What is the remainder when g is divided by 5?
4
Let t(s) = s**2 + s - 13. Let i be t(3). Calculate the remainder when (-4 + -35)/((-6)/4) - i is divided by 14.
13
Let h(r) be the first derivative of r**2 + r - 11. What is the remainder when h(6) is divided by 18/117 - 102/(-13)?
5
Suppose -3*v + 35 = 32*z - 31*z, -2*z = v - 10. What is the remainder when 38 - 6/(-4)*-2 is divided by v?
11
Suppose -2*l - 12 = l. Let w be ((-20)/(-25))/(l/130). What is the remainder when 28 is divided by -3 + (-2)/4*w?
8
Suppose -4*u = -u + 6. Let c = -708 + 714. Calculate the remainder when ((-20)/(-30))/(u/(-63)) is divided by c.
3
Suppose -3*q = 214 - 754. Let d be (4/10)/(6/q). Suppose 0 = 3*a - 24 - d. Calculate the remainder when 59 is divided by a.
11
Let c = 241 - 359. Suppose -231*m + 116 = -227*m. What is the remainder when -2 - (c - 3/(-3)) is divided by m?
28
Suppose -3*n + 4 = n. What is the remainder when (n + 0)/(4/168) is divided by (-75)/(-7) - 10/(-35)?
9
Suppose 11*f - 22 = 165. What is the remainder when 83 is divided by f?
15
Let b(g) = 2*g**2 - 35*g + 151. Let a be (-1 - -40)/(12/8). Let u = 11 + a. Calculate the remainder when u is divided by b(6).
11
Let d(v) = 3*v**2 + 6*v + 7. Let f(r) = -6*r. Let b be f(1). Let m(o) = 3*o**3 + 106*o**2 + 30*o - 155. What is the remainder when d(b) is divided by m(-35)?
19
Let n = 368 - 346. Calculate the remainder when 49 is divided by n.
5
Suppose 5*v + i = 438, -2*v + 4*i + 115 = -47. Suppose v + 33 = 5*f. Let a = -9 + f. Calculate the remainder when 44 is divided by a.
14
Suppose 10 - 90 = -5*g. Let m(v) = -v**2 - 21*v + 396. What is the remainder when m(-32) is divided by g?
12
Let a(w) = -w**3 + 14*w**2 + 123*w - 48. Suppose 2*o - 4*o = -164. Calculate the remainder when o is divided by a(20).
10
Let v = -122 + 145. Let k = -65 - -109. What is the remainder when k is divided by v?
21
Suppose 0 = 4*n + 65 - 209. Let d be -4*2*(-3)/(-12). Calculate the remainder when n is divided by ((-19)/d)/(6/12).
17
Let r = -820 - -887. Suppose 2*h = 21 + 27. Calculate the remainder when r is divided by h.
19
What is the remainder when 90 is divided by ((-2)/((-12)/70))/((-85)/(-102))?
6
Suppose 0*o + 51 = 3*o. Let b(d) = 2*d - 10. What is the remainder when b(20) is divided by o?
13
Suppose -2*m + 79 = -11. Suppose 4*d - 3*k = 155, -d = -3*k + k - m. What is the remainder when 103 is divided by d?
33
Let u(a) = 20*a**2 - 77*a + 10. What is the remainder when u(4) is divided by 16?
6
Suppose 66*w - 3298 = 8714. What is the remainder when w is divided by 37?
34
Suppose 3*s + 6 = -0*s. Let k be ((-10)/(-6))/(s/(-6)). Suppose -k*l - 4*p = -2*p - 153, 3*p - 41 = -l. What is the remainder when l is divided by 8?
5
Suppose -27 = -m + 2*m. Let g = m - -45. Calculate the remainder when 33 is divided by g.
15
Suppose -7 = -3*v + 2*p, 5*v + 4*p - 2*p - 17 = 0. Suppose 3*l = v*u + 37 + 2, l = -u + 5. What is the remainder when 20 is divided by l?
2
Let s = 16 - 32. Let h = 20 + s. Calculate the remainder when 21 is divided by 