 1, -4*k - 3 = 17. Calculate the remainder when 45 is divided by p.
9
Suppose 0 = 2*y + 6 - 2. Let n be 2*3/(-4)*y. Suppose 68 = -z + n*z. Calculate the remainder when z is divided by 12.
10
Suppose s = 4*s - 6. Suppose 0 = 5*u - s*u + 36. What is the remainder when (1 + -3)*246/u is divided by 21?
20
Suppose 2*a - 16 = f, -9 = -3*a + 3. Let h = 98 - 50. What is the remainder when h is divided by 8/(-6)*(44/f - 2)?
8
Let c(y) = y**2 - 23*y - 178. Calculate the remainder when 154 is divided by c(-7).
26
Let j = -2561 - -2586. What is the remainder when 160 is divided by j?
10
Suppose 0 = -3*c + 29 + 13. Suppose 3*t - w = 84, -3*w = 4*t - 2*w - 112. What is the remainder when t is divided by (-4)/c - 144/(-14)?
8
Suppose 2*x - 2 = -12, -3*o = 4*x - 10. Let n(h) = -h**3 - 3*h**2 - 2*h + 3. Calculate the remainder when n(-4) is divided by o.
7
Let o be (-2)/(-9) + (-6)/27. Let i(a) = -a + 41. Let z be i(o). Let j = z - 24. What is the remainder when 49 is divided by j?
15
Let k(p) = -3*p + 16. Let i be k(4). Suppose -2*y + 66 = 5*l, -3 = -4*l - i*y + 57. What is the remainder when 35 is divided by l?
11
What is the remainder when (-82)/(18/45*-1) is divided by 52?
49
Let s = -1917 - -2119. Let o(k) = k**2 + k + 34. What is the remainder when s is divided by o(0)?
32
Suppose -o + 3 - 2 = 2*l, o = -l + 3. Let x be (2/l*4)/1. What is the remainder when (-39)/x*(5 - 1) is divided by 14?
11
Suppose 0 = 7*f + 16 - 121. What is the remainder when 223 is divided by f?
13
Let h = -22 + 36. Let a = -45 + 15. Let d = 11 - a. Calculate the remainder when d is divided by h.
13
Let n(a) = a**3 + 50*a**2 + 52*a + 161. Calculate the remainder when 147 is divided by n(-49).
7
Let s be -7*(3 + -4) - 4. Suppose s*a + 67 = 5*z, -3*a + 1 = -2. Calculate the remainder when 68 is divided by z.
12
Let l(o) = 5*o + 13. Let g(p) = -p. Let x(f) = -4*g(f) - l(f). Let z be x(7). Calculate the remainder when (34/(-4))/(5/z) is divided by 19.
15
Let g = 2201 - 1588. What is the remainder when g is divided by 77?
74
Suppose 5*v + 7 = 22. Suppose -2*j - 37 = -v*j + l, 5*j + l - 173 = 0. Let d = j - 20. What is the remainder when 43 is divided by d?
13
Suppose 0 = -3*f + 3 - 39. Let n be -2 - -2 - f/(-3). Calculate the remainder when 27 is divided by (5 + -2 + n)*-15.
12
Suppose -100 = 3*m - 4*m. Suppose 0 = -4*s - 5*q + m, 5*s + 2*q - 130 = -3*q. What is the remainder when 177 is divided by s?
27
Suppose -5*h = -2*h + 4*w - 37, -3*h = -w - 32. What is the remainder when 318 is divided by h?
10
Let q = 253 + -244. Calculate the remainder when 186 is divided by q.
6
Suppose 2*u - 62 + 8 = 0. Let v be (13/((-117)/18))/((-4)/6). What is the remainder when ((-19)/3 + v)*624/(-40) is divided by u?
25
Suppose 4*h = -0*h + 20. Let w = 6 + -5. Let t = 3 + w. Calculate the remainder when h is divided by t.
1
Let l(o) = o**3 + 2*o**2 + o + 53. Suppose 4*i - 12*i + 216 = 0. What is the remainder when l(0) is divided by i?
26
Let a(f) = f**2 - 6. Let c be a(-7). Suppose 1 = -i + 2*q, 3*i + 5*q = c - 2. Calculate the remainder when i is divided by 5.
2
Suppose 3*h + 120 = 11*h. Calculate the remainder when 84 is divided by h.
9
Let l be 50/35 - (-12)/21. Suppose -5*j + 15 = l*g, 0 = g - 4 + 9. Calculate the remainder when j is divided by 4.
1
Let q = -448 + 455. Calculate the remainder when 25 is divided by q.
4
Suppose 2*k + 14 = 44. Suppose -2*x - 3*t - 5 = 0, -3*x = 2*x + 5*t + 5. Let p(j) = 5*j**3 + 2. What is the remainder when p(x) is divided by k?
12
Let b(s) = s**2 + 9*s + 24. Let x be b(-7). What is the remainder when 4/x*(-1 + 296) is divided by 30?
28
Suppose 4*l + 130 + 114 = 2*p, 5*p + l = 665. What is the remainder when p is divided by 17?
13
What is the remainder when 77 is divided by (16/(-64))/((-2)/104 - 0)?
12
Suppose -g = -2*g - 2. Let i(m) = -7*m - 11*m + 3*m - 3 + m - 2*m. What is the remainder when 112 is divided by i(g)?
25
Let z be (-10)/(-4) + (-4)/(-8). Suppose -z*x - 3*a + 24 - 3 = 0, 0 = -x - 5*a + 23. Suppose 4*r - x*r - 47 = 0. What is the remainder when r is divided by 25?
22
Let u = -252 - -464. Calculate the remainder when u is divided by 24.
20
Let f = -478 - -517. Calculate the remainder when 142 is divided by f.
25
Suppose 0 = 2*r - 5*i - 95, -2*i - 21 = 2*r - 109. What is the remainder when r is divided by 2*(4 - 4 - -4)?
5
Suppose b - 119 = -2*a + 51, 2*a = -3*b + 178. What is the remainder when a is divided by 34?
15
Suppose -3*q - 3*o = -0*o - 219, -4*o - 93 = -q. Let p = q - 64. Calculate the remainder when 34 is divided by p.
8
Let y = 14 - 8. Suppose -2*t + 3*t = -3*u + 49, -y = -2*u. Suppose -10*n + 15*n - 55 = 0. What is the remainder when t is divided by n?
7
Suppose -13*m - 4*m = -221. What is the remainder when 87 is divided by m?
9
Let g(q) = -q**3 - 12*q**2 + 10*q - 18. Let d be g(-13). Let b = 38 - d. Suppose 234 + 11 = 5*v. What is the remainder when v is divided by b?
15
Suppose -39 = -11*o + 148. Let b = -9 - -14. Suppose b*f - 46 - 104 = 0. Calculate the remainder when f is divided by o.
13
Let p(u) = u**3 + 3*u**2 - 4*u - 6. Let n be p(-3). Calculate the remainder when 38 is divided by 0 - 24/n - (-17)/1.
12
Suppose 4*b - 2*g - 554 = 0, -4*g + 2 = b - 150. Suppose -4*l = l - b. Calculate the remainder when 110 is divided by l.
26
Let q(c) = 37*c**2 - 3*c - 2. What is the remainder when q(6) is divided by 18?
16
Let t = 174 + -127. Let l(k) = -3*k**3 - 4*k**2 + k - 24. Let j(i) = i**3 + i**2. Let b(f) = -4*j(f) - l(f). Calculate the remainder when t is divided by b(0).
23
Suppose 11*r - 15*r = -2928. What is the remainder when r is divided by 105?
102
Suppose -v = -3*u + 50, 8*u + v = 5*u + 46. Calculate the remainder when 27 is divided by u.
11
Let k = -131 - -4. Let l = 201 + k. What is the remainder when l is divided by 11?
8
Let g(j) = 2*j**2 + 6*j - 1. Let w(i) = i**3 - 6*i**2 + 6*i + 1. Let n be w(5). Let m be (n - 1)*(5 + -6). Calculate the remainder when 75 is divided by g(m).
18
Let z = 1410 - 1397. What is the remainder when 25 is divided by z?
12
Let f be (3/1)/((-6)/172). Let p = -40 - f. What is the remainder when p is divided by 12?
10
Let r(d) = 10*d**2 + 31*d + 102. What is the remainder when r(-4) is divided by 7?
5
Suppose 0 = -5*i + 7*i - s - 10, 0 = -5*i + 3*s + 24. What is the remainder when 17 is divided by i?
5
Suppose -3*v = -5*v + 22. Let i(w) = w**3 - 9*w**2 - 15*w - 6. Suppose 0 = 7*o + 22 - 197. Calculate the remainder when i(v) is divided by o.
21
Let j(h) = 3*h + 16. Let n be j(0). Suppose -n = -3*d + 65. Calculate the remainder when d is divided by 13.
1
Suppose -43*a = -41*a + 36. Let l(f) = 3*f + 73. What is the remainder when l(a) is divided by 7?
5
Suppose 39 = 32*q - 29*q. What is the remainder when 36 is divided by q?
10
Let c(u) = -19*u - 7. Let h be c(-1). Let d(t) = -t + 10. Let w be d(6). Suppose 2*n = w*n - h. What is the remainder when n is divided by 4?
2
Suppose 2*q = -4 + 152. Let y = 24 - 18. Suppose -l + y*l - 95 = 0. Calculate the remainder when q is divided by l.
17
Let l(k) be the first derivative of k**2/2 + 17*k - 12. What is the remainder when 31 is divided by l(-9)?
7
Suppose 2*c + c = 9. Let g(n) = -n**2 - 6*n - 5. Calculate the remainder when g(-4) is divided by c.
0
Let h = -18 - 0. Let d be h - 1/((-1)/(-4)). Let p = -12 - d. Calculate the remainder when 18 is divided by p.
8
Suppose -5*p = 122 - 22. Let z = p + 13. Let t = 3 - z. Calculate the remainder when 18 is divided by t.
8
Let t(l) = l**3 + 2*l**2 - 4*l + 5. Let v be t(-3). Suppose -v*p - 33 = -9*p. What is the remainder when p is divided by 12?
9
Suppose 3*h - 9*d + 7*d - 367 = 0, -3*h = -4*d - 377. Calculate the remainder when h is divided by 24.
23
Let p(s) = 6*s**3 - 2*s**2 + 2*s - 4. What is the remainder when 116 is divided by p(2)?
36
Suppose 3*t + s - 86 = 0, 5*t = -0*t - s + 144. Suppose -2*p + 9 = -3*x - 9, -3*p + 4*x = -29. Calculate the remainder when t is divided by p.
14
Suppose 2*a = -4*d - 25 - 33, 0 = 3*d. Let h = a - -60. Calculate the remainder when h is divided by (0 - -11) + 3*-1.
7
Let m(l) = l**3 + 10*l**2 - 12*l - 20. Calculate the remainder when m(-10) is divided by 14.
2
Let j = 43 - 73. Let u = j - -63. Let p = u + -23. Calculate the remainder when p is divided by 4.
2
Suppose 0*q = -3*q. Su