2 + 4*f + 11. Let t(o) = -5*i(o) + 4*w(o). What is the remainder when 4/2 + -1 + 5 is divided by t(-3)?
0
Suppose 4 - 12 = -4*j. Let a(n) = 5*n**2 - 4*n + 3. What is the remainder when 29 is divided by a(j)?
14
Suppose 0 = -23*x + 27*x - 16. What is the remainder when -3 - (2 + 0 - 42) is divided by x?
1
Let j(p) = 580*p**2 - 3 - 3*p - 550*p**2 + 7*p. Calculate the remainder when j(1) is divided by 11.
9
Suppose 16*q - 7 = 15*q. Let n(g) = 2*g - 7. What is the remainder when 125 is divided by n(q)?
6
Let p(b) = -b**3 - 2*b**2 - 10*b - 10. Calculate the remainder when 178 is divided by p(-4).
54
Let k = -126 - -180. Let v be -48*((1 - 2) + 0). Suppose -n = 2*y - 20, y = n - 4*y - v. What is the remainder when k is divided by n?
26
Let s(o) = 77*o - 144. What is the remainder when 333 is divided by s(3)?
72
Suppose -3*u - 12 = 27. Let v = 39 + u. What is the remainder when v is divided by 8?
2
Suppose 0 = 5*q - 2*n + 112, -n + 5 = 4*n. Let c be (q/8)/((-13)/(-104)). Let a = 58 + c. Calculate the remainder when a is divided by 13.
10
Suppose 828 = 18*o + 36. What is the remainder when 200 is divided by o?
24
What is the remainder when (-6)/5*3*(-130)/2 is divided by 47?
46
Let p = 19 - -29. Let i be ((-3)/(-4))/(4/p). Suppose 21 = -6*u + i*u. Calculate the remainder when 11 is divided by u.
4
Let i be (-12)/(-12) + (-1 - -4). Calculate the remainder when 40 is divided by (-96)/i*(-2)/3.
8
Suppose 4*a = -3*b - 35, a - 3*b = -2*a - 42. Let t = a + 2. Let y = 16 + t. Calculate the remainder when 25 is divided by y.
4
Let v be (0 + 606/9)*(-12)/(-8). Let b = v - -7. What is the remainder when b is divided by 22?
20
Suppose 0*v = 4*v - 96. Suppose -19*l + 184 = -15*l. Calculate the remainder when l is divided by v.
22
Suppose -10 = 10*v - 15*v. Suppose 0 = -v*u - u + 192. Calculate the remainder when u is divided by 17.
13
Suppose -2*l + 18 + 20 = 0. Let h = -79 - -309. Suppose 4*o - g = o + 224, -h = -3*o - 5*g. Calculate the remainder when o is divided by l.
18
What is the remainder when 44 is divided by (-6)/(-4) - (-1333)/62?
21
Suppose -1 + 13 = 6*z. Suppose 3*h - 3 = z*h. Calculate the remainder when 11 is divided by h.
2
Let q(o) = -o**3 - 5*o**2 - 2*o - 2. Let h be q(-5). What is the remainder when 134/h + 36/(-48) is divided by 13?
3
Let u = -213 - -415. Suppose -36 = -5*a - 3*j + 326, -3*a + 2*j + u = 0. What is the remainder when a is divided by 19?
13
Suppose -1275 = -4*h - 5*o, 0 = 3*h + 31*o - 28*o - 954. What is the remainder when h is divided by 32?
27
Suppose 5*l = 3*q - 334, 0 = -5*q + 3*q - 4*l + 186. Let c be 74 + 2 + -5 + 7. Suppose 3*b + c = 6*b. What is the remainder when q is divided by b?
25
Suppose -f + 20 = p, 2*p = 3*f - 13 + 38. Suppose -q = -2*q + a + p, 5*q - 84 = 4*a. Suppose 3*j - 4 = 14. Calculate the remainder when q is divided by j.
4
Let h(x) = x**3 + 8*x**2 + 7*x - 6. Let m be h(-6). Suppose 3*j - m = -78. Let i = 55 + j. What is the remainder when i is divided by 13?
11
Let n(o) = -o**3 - 12*o**2 + 22*o + 199. Calculate the remainder when 93 is divided by n(-13).
11
Let j(u) = u**3 - 6*u**2 + 3. Suppose 2*k - k = -2*b + 16, -3*b = k - 21. Let w = -15 - -21. What is the remainder when w is divided by j(k)?
0
Let j = -5 - -8. Suppose 3*n - 9 = -5*b + 4*b, j*b - 27 = 2*n. What is the remainder when b is divided by (1 - 2)/((21/(-15))/7)?
4
Let z(m) = 2*m - 13. Let a be z(8). Suppose -4*p - 68 = -3*d - 11, 0 = a*d + 4*p - 33. Let i(c) = c**2 + 29. Calculate the remainder when i(0) is divided by d.
14
Let x(c) = c**3 - c + 2. Let t be x(0). Suppose 5*d = -5*y + 35, d - t*y = -0*d - 8. Calculate the remainder when 12 is divided by d.
0
Suppose -4*r = 4*m - 220, -5*m + 0*m + 311 = -4*r. What is the remainder when 351 is divided by m?
56
Let j be (5/(5/16))/((-4)/(-2)). What is the remainder when 14 is divided by 42/j + (-1 - 6/(-8))?
4
Suppose 6*h = 5*h - 2*c + 14, 64 = 2*h - 5*c. Let k = 38 - h. Let n(r) = 914*r - 9135. What is the remainder when k is divided by n(10)?
1
Calculate the remainder when (11194/145)/(4/10) is divided by 50.
43
Suppose -4*g + 16*g = 228. Calculate the remainder when g is divided by 6.
1
What is the remainder when 21 is divided by 1005/134*4/5?
3
Let q be ((-8)/6)/(15/27 - 1). Let d(u) = u**2 - u + 68. Let l be d(0). Suppose -5*k = -q*k - l. Calculate the remainder when 66 is divided by k.
32
Suppose 20 = -l + 23. Suppose 0*v + v - 23 = 5*t, 4*t = l*v - 58. What is the remainder when 31 is divided by v?
13
Let v = -12 - -15. Suppose -v*h + 4 = -2. Suppose 5*j - 2*s = 84, 26 = 2*j + 4*s + h. What is the remainder when j is divided by 6?
4
Let n(p) = 3*p**2 - 3*p + 5. Suppose 6*x = 3*x + 24. Calculate the remainder when n(3) is divided by x.
7
Suppose 102 = 3*d - 165. Suppose -6*x + d = -25. Suppose i = -2*f + 71, 3*i - f - 224 = 4*f. Calculate the remainder when i is divided by x.
16
What is the remainder when 104 is divided by (72/28)/((-7)/(-147))?
50
Let w = -35 - -38. Suppose -106 = -3*v - 2*f, -w*v = -7*v + 3*f + 113. What is the remainder when v is divided by 19?
13
Suppose 0 = 25*n + 7*n - 6208. What is the remainder when n is divided by 40?
34
Let z = -5 + 22. What is the remainder when (-10)/(8 + 6201/(-767)) is divided by z?
16
Suppose p + 4 - 7 = -k, -2*p + 5*k = 15. Suppose p = -0*f - 3*f + 6. Suppose u = 2, -4*d = d + 2*u - 24. What is the remainder when d is divided by f?
0
Let o(x) = x**3 + 9*x**2 + 10*x - 8. Suppose 42 = -3*d + 24. Calculate the remainder when o(d) is divided by 22.
18
Suppose -6*c + 3*c = -12. Suppose 79 = -c*r + 5*r. Let m = r + -38. Calculate the remainder when m is divided by 11.
8
What is the remainder when 52 is divided by 2 - -6 - (-4)/(-8)*-2?
7
Suppose 2*w - 3*t = 36, 4*w - 5*w + 4*t = -28. What is the remainder when -12*(-1 - 4/w) is divided by 8?
0
Suppose 25*d - 130 = 95. What is the remainder when 15 is divided by d?
6
What is the remainder when 133 is divided by (-166)/(-3) - 33/99?
23
Suppose -4*m + 219 + 53 = 0. Let u = -48 + m. Suppose -6*l + 3*l + 36 = 0. Calculate the remainder when u is divided by l.
8
Suppose 3*v = 6*v - 162. Suppose 2*x + 0*x = -4*r + 22, 5*r - x - 45 = 0. Calculate the remainder when v is divided by r*42/(-9)*9/(-24).
12
Let r = -183 + 244. What is the remainder when r is divided by 17?
10
Suppose 3*r + 9 = 0, -4*c + 100 - 24 = -4*r. Let m = 9 - c. Let i(p) = -p**2 - 8*p - 1. Calculate the remainder when i(m) is divided by 2.
0
Suppose 0 = 3*j - 6*j - 126. Calculate the remainder when (2 + j/(-4))*2 is divided by (-56)/10*(1 + (-28)/8).
11
Let g be 287/17 + (-4)/(-34). Let b = g + -1. What is the remainder when 79 is divided by b?
15
Let n be ((-10)/4)/((-1)/4). What is the remainder when 28 is divided by -1 + 55/n + (-3)/(-2)?
4
Let y(p) = 20*p + 177. Calculate the remainder when 50 is divided by y(-8).
16
Let k(i) be the second derivative of i**4/4 - 17*i**3/6 + 5*i**2/2 - 14*i. What is the remainder when 52 is divided by k(6)?
8
What is the remainder when 75 is divided by (2/(-6))/(((-7)/(-7))/(-60))?
15
Let w(a) = a**3 - 13*a**2 - 15*a + 51. Calculate the remainder when 191 is divided by w(14).
6
What is the remainder when (29/1 - -9) + 8 is divided by 28?
18
Let x(j) = -j**2 - 9*j - 6. Let q(z) = -2*z**2 - z + 2. Let v be q(2). Let a be x(v). Calculate the remainder when 25 is divided by ((-30)/(-25))/(a/15).
7
Let b(t) = -t**3 - 20*t**2 + 30*t - 34. Let r be b(-22). Suppose -9*s + r + 203 = 0. Calculate the remainder when 105 is divided by s.
52
Calculate the remainder when 327 is divided by ((88 - 11) + 5)/((-6)/(-3)).
40
Let m(f) = 4*f**3 - 3*f**2 - 4*f - 6. Let l(y) = -y**2 + 14*y - 16. Let k(x) = 11*x**2. Let r be k(-1). What is the remainder when m(3) is divided by l(r)?
12
Suppose -33*i = -30*i - 111. Calculate the remainder when i is divided by 13.
11
Suppose 38*w = 31*w + 1337. Calculate the remainder when w is divided by 39.
35
Let z(y) = y**2 - 3*y. Let l be z(3). Suppose l = -4*w - 0 + 28. Calculate the remainder when 24 is divided by w.
3
Let n = 318 + -163. What is the remainder when n is divided by 16?
11
Let y be (112/40)/(2/10). Calculate the remainder when 4/(-10) - 197/(-5) is divided by y/35 - (-98)/5.
19
Suppose -m + 19 - 20 = 0. Let y(p) = -2*p + 2. What is the remainder when 9 is divided b