Suppose 3*g + 6 = -4*i - 1, -4*g - 1 = -3*i. What is the remainder when 141 is divided by (4 + i)/((-20)/(-6) + -3)?
6
Let x(z) = 17*z**3 - z + 1. Let t be x(1). Let i = t - 13. Suppose -h - i + 46 = 3*u, 70 = 5*u - 4*h. Calculate the remainder when 39 is divided by u.
11
Let l(w) = 2*w + 6. Let y be l(-3). Suppose 2*j = -0*j + 92. Let q = j + y. What is the remainder when q is divided by 12?
10
Suppose 2*r + k - 8 = -2*r, 2*k + 8 = 0. Let v(h) = -1 - h + r - 4. Calculate the remainder when 9 is divided by v(-7).
4
Let s(g) = g**3 - 7*g**2 + 10*g - 7. What is the remainder when 67 is divided by s(6)?
16
Let i = -297 - -309. Let o(w) = 3*w**2 - 4*w - 5. What is the remainder when o(-4) is divided by i?
11
Let t be (2/(-6))/((-6)/18). Let c be t/6*3*-8. Let r = 5 - c. What is the remainder when 35 is divided by r?
8
Suppose -2*n = -8*n + 24. Suppose n*b = 2*b - o + 64, -4*o = 0. What is the remainder when b is divided by 9?
5
Suppose 2*u = 0, 52*p - 57*p + 5*u = -2035. What is the remainder when p is divided by 52?
43
Let p = -904 + 1159. Calculate the remainder when p is divided by 66.
57
Suppose 4*z + 4*u = 20, 3*u = -5*z - 0*z + 21. Let h(p) = p**2 + 6*p - 18. Let o be h(-10). What is the remainder when ((-1)/(3/o))/(6/(-9)) is divided by z?
2
Suppose 0 = -5*s - l - 0 + 29, -5*l = -2*s - 10. What is the remainder when 143 is divided by s?
3
Suppose 321 + 293 = 2*u + 3*o, 4*u = 5*o + 1272. Calculate the remainder when u is divided by 62.
3
Let g be (-10 - -8)/(2/20). Suppose 89 = -3*h + 2*u, 4*h + 3*u + 68 = 2*h. Let z = g - h. What is the remainder when z is divided by 7?
4
Let c = -1631 + 1637. Calculate the remainder when (-11)/2*(-3 - -1) is divided by c.
5
Suppose 20 = 2*f + 20. Let r(j) = -9*j**3 + j**3 + 7*j**3 + j - j**2 + 8. What is the remainder when 13 is divided by r(f)?
5
Let v(p) = p**3 - 19*p**2 + 19*p - 10. What is the remainder when 10 is divided by v(18)?
2
Let y(n) = -6*n + 53. What is the remainder when y(-12) is divided by 64?
61
Let l = 1024 + -596. Calculate the remainder when l is divided by 106.
4
Let o = 40 + -7. Suppose -o*x + 99 = -32*x. What is the remainder when x is divided by 26?
21
Let u be (18 - 1)*(5/(-5) - -12). Let n = -2 + 9. What is the remainder when 10/35 + u/7 is divided by n?
6
Let x(q) = -q**3 - 7*q**2 - 18*q - 51. What is the remainder when 1069 is divided by x(-6)?
19
Let i = -3 - -132. Let b(n) = -58*n + 766. What is the remainder when i is divided by b(13)?
9
Suppose -h + 20 = h. What is the remainder when 79 is divided by h?
9
Let i = -6 - 42. Let l = -543 - i. What is the remainder when 2*1*l/(-22) is divided by 16?
13
Let y = -748 + 1084. What is the remainder when y is divided by 85?
81
What is the remainder when 258 is divided by 18/3 + -1 - (-29 - 3)?
36
Let o(d) = -5*d**3 - d. Let n be o(-1). Suppose 96 = n*q - 3*q. Calculate the remainder when 93 is divided by q.
29
Let r(k) = -k**3 + 7*k**2 - 10*k. Let i be r(4). Suppose -5*q + 27 + i = 0. What is the remainder when q is divided by 4?
3
Let g = 733 + -1189. Calculate the remainder when ((-3)/9)/(4/g) is divided by 13.
12
Calculate the remainder when 1814/10 + 104/65 is divided by 38.
31
Let l = 15 + -11. Suppose 74 = l*x + 10. Suppose 0 = -4*h + x, -h + 5*h - 4 = 3*m. Calculate the remainder when 10 is divided by m.
2
Let h(v) = 30*v + 434. Calculate the remainder when h(-8) is divided by 102.
92
Let p = 16 - 14. Suppose 7*j + 3*t - 42 = 2*j, 0 = j - p*t + 2. Suppose -3 = -n + j. What is the remainder when n is divided by 4?
1
Let o = 16 + -16. Suppose 2*d = 0, o = -0*p + 3*p + 5*d - 186. Let g(q) = 5*q - 4. What is the remainder when p is divided by g(4)?
14
Let z(q) = 11*q + 4. Let a(p) = -p**2 - p - 1. Let t(i) = -a(i) - z(i). Calculate the remainder when 154 is divided by t(-4).
48
Suppose 4*p - 5*d - 16 = -3*d, 2*p - 3*d = 4. Suppose -8 = -p*z + 7. What is the remainder when -1 + (0 - -11 - 1) is divided by z?
0
Suppose 3*j + 12 = 3*f, 3*j + 7 - 2 = -4*f. Calculate the remainder when f*(2 - 4) + (-5 - -63) is divided by 15.
11
Let b(i) = i**2 - 7*i + 7. Let u be b(6). Calculate the remainder when 55 is divided by 14/(-5 - -7 - u).
13
Let v(u) = -u**2 - 26*u - 105. What is the remainder when 309 is divided by v(-20)?
9
Let m = -57 + 96. Let n(i) = 14*i - 104. What is the remainder when m is divided by n(8)?
7
Let i be ((-105)/14 - -3)/(3/(-2)). What is the remainder when (-55 - i)*(5 - (-13)/(-2)) is divided by 25?
12
Let r = -6 + 12. What is the remainder when r is divided by (18/(-12))/((-1)/2)?
0
Calculate the remainder when ((-1182)/18)/((-5)/15) is divided by 40.
37
Let a = 1016 - 1007. What is the remainder when 313 is divided by a?
7
Let n(u) = -u**2 + 7*u + 1. Let m be n(7). Let l be m/((-1)/(-7)) + -1. What is the remainder when -8*6/(l/(-2)) is divided by 9?
7
Suppose -p + 390 = 9*p. What is the remainder when p is divided by 25?
14
Suppose -5*n - 360 = -23*n. Calculate the remainder when 137 is divided by n.
17
Let c = -13 + 15. Suppose 2*w - 32 = -c*w. Calculate the remainder when 5 is divided by ((-6)/4)/((-6)/w).
1
Suppose -2*s = 4*b + 10, -3*s + 4*b = 2*s - 45. Suppose -5*d + 57 = 2*y, -2*y + s*d + 6 = -41. What is the remainder when y is divided by 10?
6
Suppose -306 = -4*y + 17*g - 18*g, 0 = 4*y - g - 310. What is the remainder when y is divided by 4?
1
Let s(f) = f**2 + 4*f + 3. Let k be s(-4). Suppose -115 - 5 = -k*o. Suppose 2*c - 28 = -n, 0 = -4*n + 5*n. What is the remainder when o is divided by c?
12
Suppose -f - 2*w = -4*w + 6, 4*w - 18 = -f. Suppose -f*x - 41 = -p, -2*p = 7*x - 3*x - 58. Calculate the remainder when p is divided by 12.
11
Let n = -489 + 587. Calculate the remainder when n is divided by 10.
8
Suppose 5*m + 4*i = m, 5*m = i - 6. Calculate the remainder when (m + 4/8)*-6 - -23 is divided by 10.
6
Let n(q) = q**3 - 55*q**2 - 54*q - 99. Suppose 0 = -4*f - 4*j + 176, 4*j = -f - j + 28. What is the remainder when f is divided by n(56)?
9
Let f(g) = -3*g - 41. Let y be f(-15). Suppose 13 = 2*x + 3*x - 4*m, -y*x = 3*m - 29. What is the remainder when 5 is divided by x?
0
Suppose -21*v + 13*v = -1344. Calculate the remainder when v is divided by 58.
52
Suppose -23*c - 655 = -18*c. Let p = c - -165. What is the remainder when p is divided by 9?
7
Suppose -50 = z - 6*z. Suppose 0 = -k - 3*s + z + 13, 2*k - 34 = -2*s. What is the remainder when 55 is divided by k?
13
Let a = 660 - 633. What is the remainder when 92 is divided by a?
11
Suppose 241 + 449 = 3*y. Suppose -11*d + 16*d = y. Let t(z) = 4*z**2 + z - 2. Calculate the remainder when d is divided by t(-2).
10
Suppose 5*w + 44 = 7*w - 2*b, -w + 10 = 3*b. Calculate the remainder when 2657 is divided by w.
16
Suppose 0 = -4*z + 4*r + 1380, -9*r + 683 = 2*z - 4*r. What is the remainder when z is divided by 48?
8
Suppose -q + 2*u = 6*u - 29, 5*q = -4*u + 209. Let k(s) = 86*s - 590. Calculate the remainder when q is divided by k(7).
9
Let m(j) = j**3 - 2*j**2 + 2*j + 2. Suppose 2*u - 6 = -2. Suppose l + 67 = u*l. Calculate the remainder when l is divided by m(3).
16
Let f = 18 + 33. Calculate the remainder when f is divided by 13.
12
Let l = -99 + 87. Calculate the remainder when ((-100)/l)/(0 - 3/(-27)) is divided by (-1 - 0)*(1 - 27).
23
Let i(k) = -2*k**2 + 195. Calculate the remainder when i(0) is divided by 51.
42
Let c(i) = -20*i - 26. Let z be c(-6). Calculate the remainder when z - ((-2)/8 + 45/36) is divided by 19.
17
Let x(r) = -2*r + 1. Let l be x(-2). Suppose -2*v = -c - 449, -3*c = -l*v + 308 + 815. Suppose 0 = 4*o - 0*o - v. What is the remainder when o is divided by 29?
27
Suppose -4*g + 332 = -2*y, -5*y + 54 = 4*g - 306. Suppose -13*b = -12*b - g. Calculate the remainder when b is divided by 29.
27
Let m be ((-202)/2)/((0 - 1)*1). Let p = 120 - m. Calculate the remainder when p is divided by 12.
7
Suppose 0 = -5*i - u + 513, -4*i - 93 = -5*i - 5*u. Calculate the remainder when i is divided by 7.
5
Calculate the remainder when 376 is divided by (-5200)/(-572) + 2/(-22).
7
Let y(d) = d**3 - 7*d**2 + 7*d - 11. Let t be y(6). What is the remainder when 6/21 + (180/7 - t) is divided by (-129)/(-15) + (-2)/(-5)?
4
Suppose -p - 3*p + 24 = 0. Suppose -4*x = -p*x + 100. What is the remainder when x is divided by 28?
22
Suppose 48*u = 47*u + 5.