*o + 5. Let a(f) = -5*j(f) + 8*v(f). What is the remainder when 34 is divided by a(-13)?
10
Suppose 194 = 3*z - 5*y - 1839, 3409 = 5*z + 2*y. Calculate the remainder when z is divided by 114.
111
Let v be -255*(35/(-3))/5. Suppose 3*p = -2*p + v. Suppose 3 - p = -4*d. Calculate the remainder when d is divided by 16.
13
Suppose 5*z + 5*k = 3*k + 14, -3*k = -3*z. What is the remainder when 11 is divided by z?
1
Calculate the remainder when 186 is divided by (1 + -19)/((-27)/(297/22)).
6
Suppose 3*m + 78 = 3*r, 4*r - m + 46 = 141. Let y = r + -20. Calculate the remainder when (-9)/(-2)*(-20)/(-15) is divided by y.
0
Let i(n) = n - 10. Let s be i(7). What is the remainder when 7 is divided by (-9)/s - (4 + -5)?
3
Suppose -160 = 6*r - 2*r. Let l = 102 + r. Suppose 0 = o - 0*o - 21. What is the remainder when l is divided by o?
20
Let u(p) = p**3 - 24*p**2 - 52*p + 19. What is the remainder when 36 is divided by u(26)?
17
Suppose 0 = -0*b - 2*b + 2*r + 4, -18 = -2*b - 5*r. Suppose b = i + 1, 4*t - 108 = -4*i. Let d = -114 - -127. What is the remainder when t is divided by d?
11
Suppose -75 + 62 = -d. What is the remainder when 45 is divided by d?
6
Let j(v) be the second derivative of -v**5/20 + v**4/6 + 7*v**3/6 + v**2 + 10*v. Suppose 2*z = 6*z - 36. What is the remainder when j(-3) is divided by z?
8
Suppose -2*h - 47 = -5*n - h, 4*h + 38 = 5*n. Let i = 661 + -633. Calculate the remainder when i is divided by n.
8
Let o(f) = 7*f**2 - 5*f + 1. Let q(c) = c**2 - c - 1. Let u(a) = o(a) - 2*q(a). Calculate the remainder when 38 is divided by u(1).
3
Let y = -35 - -38. Suppose 6*a - a - 20 = 0. Suppose o + a*o - 67 = -3*f, -f - 1 = -y*o. What is the remainder when 53 is divided by f?
11
Let s(x) = -2*x**2 + 6*x + 1. Let h(o) = o**2 - 7*o - 1. Let p(i) = -5*h(i) - 6*s(i). Let k = -6 + 21. Calculate the remainder when p(3) is divided by k.
14
Let p(m) = -m**2. Let j(q) = 2*q**2 - 15*q - 5. Let i(h) = j(h) + 3*p(h). Let r = 40 + -54. What is the remainder when i(r) is divided by 3?
0
Let b(o) = o**3 + 17*o**2 - 22*o - 29. What is the remainder when 76 is divided by b(-18)?
33
Let r be (1 + -2)/(-2)*0. Suppose -93 = -3*d - r*d. Suppose -2565*w - 187 = -2576*w. Calculate the remainder when d is divided by w.
14
Let n(s) = s**2 - 8*s - 47. Let f be n(12). Let a(o) = 27*o - 7. Let k(r) = r**3 - 4*r**2 + 2*r - 1. Calculate the remainder when a(f) is divided by k(4).
6
Let h be (45/5)/(2 + -1). Calculate the remainder when (6/h)/((-265)/90 - -3) is divided by 4.
0
Suppose 5*i - 43 = o + 90, 0 = -5*i + 2*o + 136. What is the remainder when 121 is divided by i?
17
Suppose -273 = 15*o - 1533. Calculate the remainder when o is divided by 11.
7
Let f = -2 + -3. Let z be ((-6)/f)/((-2)/(-5)). Suppose -4 = -z*a + 20. Calculate the remainder when 30 is divided by a.
6
Suppose 2*c = -9 - 5. Let i(d) = -d**2 - 8*d - 6. Let k be i(c). What is the remainder when (-14)/(k + 8/(-6)) is divided by 22?
20
Let y(i) = -3*i + 5. Let o be y(-4). Let a = o + -14. Suppose -15 = -2*g - a. Calculate the remainder when 16 is divided by g.
4
Suppose 2*s + r - 82 - 72 = 0, -2*r = -4*s + 292. Calculate the remainder when 369 is divided by s.
69
Let t be 850/(-14) - (-16)/(-56). Let x = 70 + t. Calculate the remainder when 69 is divided by x.
6
Let m(i) = 5*i**2 - 4*i - 3. Let h be m(-2). Suppose 78 = 2*c - p, -32 - 1 = -c - p. Calculate the remainder when c is divided by (h/20)/(1/8).
7
Let f = -359 - -387. What is the remainder when 194 is divided by f?
26
Let q(v) = -v + 1. Let s be q(5). Let o(g) = -g**3 - 2*g**2 + 4*g - 3. Let a = 224 - 174. What is the remainder when a is divided by o(s)?
11
What is the remainder when 341 is divided by (-3 + 25)/(4/8) - -5?
47
Let n(l) = l**3 + 5*l - 10. Calculate the remainder when 197 is divided by n(2).
5
Suppose -5*b + 2*j + 138 = j, b = 3*j + 36. What is the remainder when 646 is divided by b?
25
Suppose 33 = 17*y - 154. Suppose -y*i + 797 = 49. Calculate the remainder when i is divided by 36.
32
Let r = -311 - -359. Calculate the remainder when r is divided by 34.
14
Let a = 862 + -537. Calculate the remainder when a is divided by 4.
1
Let x be ((-40)/14)/(-1 - (-40)/56). Suppose -339 = -x*i + 531. What is the remainder when i is divided by 11?
10
What is the remainder when 97 is divided by (-14)/(-21)*102/4?
12
Let n = -50 - -122. Calculate the remainder when 863 is divided by n.
71
Let s = -1138 - -1197. What is the remainder when 168 is divided by s?
50
Suppose 13*u - 390 = 8*u - 5*r, 5*u = 3*r + 390. What is the remainder when 149 is divided by u?
71
Suppose -13*d - 8*d = -882. What is the remainder when d is divided by 25?
17
Let n = -401 + 673. Calculate the remainder when n is divided by 55.
52
Let l(a) = 3*a**2 + 29*a - 2. What is the remainder when 100 is divided by l(-11)?
16
Suppose -2*m - 4*s + 58 = -4*m, 0 = -5*s + 25. Let j = m + 52. What is the remainder when j is divided by (-2)/((161/(-6))/(-7) - 4)?
9
Let l(i) = i + 2. Let u be l(4). Let z(w) = -4*w**3 + 0 - 1 - u*w**2 + 4*w**2 + 0*w**3. Calculate the remainder when 66 is divided by z(-2).
20
Let g = 1188 - 1172. What is the remainder when 365 is divided by g?
13
Suppose r - 9 = -2*r. Suppose 0 = -r*l - 0*l + 6. Suppose 3*u - 8 = l*u. Calculate the remainder when 29 is divided by u.
5
Let d(t) = -t**3 - 3*t**2 - 32*t - 55. What is the remainder when 1*-1 + (43 - 0) is divided by d(-2)?
2
Let i(z) = z**2 - 18*z + 33. Let n be i(17). Suppose 2*t = -3*y + 43, -2*y = 2*t - n - 16. What is the remainder when 31 is divided by y?
9
Let w(j) = -13*j**2 - 12*j + 57. Let p(m) = -20*m**2 - 18*m + 86. Let u(f) = 5*p(f) - 8*w(f). What is the remainder when u(5) is divided by 53?
51
Suppose -48*l = -13*l - 2310. What is the remainder when l is divided by 48?
18
Let y = -1123 - -1146. What is the remainder when 219 is divided by y?
12
Suppose 4*o = 7*k - 3*k - 4, -k - o = -5. What is the remainder when 31 is divided by (20/3 - 1)*k?
14
Let n = -79 + 108. What is the remainder when 169 is divided by n?
24
Let y(b) = -b**2 - 9*b + 3. Let f be y(-6). Suppose 6 - f = -u + 3*q, -u = -5*q - 9. Let n = -131 + 225. Calculate the remainder when n is divided by u.
22
Suppose 5*z = 3*w - 66, -5*w + 14 = -4*w + z. Calculate the remainder when w is divided by 1.
0
Suppose -4*d = -b + 123, 3*b - 59 = -4*d + 294. Calculate the remainder when b is divided by 11.
9
Let n(m) = m**3 + 29*m**2 - 11*m - 27. Calculate the remainder when n(-29) is divided by 59.
56
Suppose 0*v + 75 = 5*v. Suppose r + v = 27. What is the remainder when 42 is divided by r?
6
Suppose 0 = -13*l + 9*l + 104. What is the remainder when 28 is divided by l?
2
Suppose -r - 14 = -5*b + 9, 2*r = -6. Let t be (-31)/b + 5/(-20). Let w(l) = l**2 + 8*l + 9. What is the remainder when w(t) is divided by 3?
0
Suppose 0*c - c = -p - 1, -2*c + p - 1 = 0. Let j = -3 + c. Calculate the remainder when (-5)/(j/32) - -1 is divided by 18.
15
What is the remainder when 182/(-4)*(3 + (-35)/5) is divided by 73?
36
Suppose -37 = 5*i + 3. Suppose -8 = 2*u - 22. What is the remainder when ((-11)/2)/(4/i) is divided by u?
4
Let s(c) = c**2 + 4*c - 5. Suppose 4*d - 55 = 9. Calculate the remainder when s(-8) is divided by d.
11
Let q(d) = -d**2 + 7*d + 5. Let w be q(3). Let o = w + -9. Suppose -5*u + 147 = -4*p, 0 = -2*p + 4. What is the remainder when u is divided by o?
7
What is the remainder when (-6)/(-21) - 1914/(-14) is divided by (-3 - -1) + -1*(6 + -43)?
32
Suppose d - 2*d + 5 = 0. Suppose 4*f - 2 = 4*u - 10, 2*u - 3*f - 3 = 0. What is the remainder when d is divided by u?
2
Suppose 60 = -294*q + 309*q. Calculate the remainder when q is divided by (-46)/(-14) - 2/7.
1
Let i = 817 - 285. Calculate the remainder when i is divided by 265.
2
Let v = -44 - -68. Let n = v + -13. What is the remainder when 43 + -1 + -1 + 0 is divided by n?
8
Let k(f) = 2*f**3 + 23*f**2 + 11*f. What is the remainder when k(-4) is divided by 59?
19
Suppose -12*t + 7*t - 1040 = 0. Let f = t - -299. What is the remainder when f is divided by 23?
22
Let s(g) = -g**3 - 11*g**2 + 11*g - 1. Let o(j) = j - 3. Let l be o(-9). What is the remainder when s(l) is divided by 7?
4
Suppose 5*n + 0*d + 2 = 4*d, 3*d - 13 = -2*n. Suppose -5 = -5*t - 2*k, -5*t + n*k + 0*k + 5 = 0. Calculate the