a(1). Let w = f + 60. Suppose -340 = -w*q - 3*q. What is the remainder when q is divided by 18?
14
Let i = -2600 + 2677. Suppose 4*b - 30 - 10 = 0. Calculate the remainder when i is divided by b.
7
Let q be (28/(-84))/(1/(-3)). Let a(o) be the first derivative of 4*o**2 + 1. Calculate the remainder when 14 is divided by a(q).
6
Calculate the remainder when -3 + 0 + 154019/29 is divided by 47.
44
Let x(a) = a**3 - 2*a**2 - 4*a + 3. Let h be x(3). Suppose 15 = -h*l + 5*l. Suppose 106 = l*m - 41. Calculate the remainder when m is divided by 26.
23
Suppose -2*j = 2, j + 72 = -3*d + 359. Calculate the remainder when d is divided by 4.
0
Let z(x) = -x**2 - 17*x - 22. Let y be (-2 + 44)*-3 + (3 - 1). Let o = y - -126. What is the remainder when z(-15) is divided by o?
0
Let l = 18 - 7. Let r be (-28)/(-5)*(-70)/12*3. Let k = r - -118. Calculate the remainder when k is divided by l.
9
Suppose -15*k + 246 = 966. Let m = 52 + k. Suppose m*g = 3*x + 22, 0 = -2*g + g + 5*x - 3. Calculate the remainder when 111 is divided by g.
6
Let i(j) = 2*j - 6. Let g be i(2). Let a(r) = 6*r**2 - r + 6 + 6*r - 2*r**2. Calculate the remainder when 57 is divided by a(g).
9
Let z(i) = 65*i - 313. What is the remainder when 2288 is divided by z(5)?
8
Suppose 5*k = -5*i + 460, -47*k + 48*k - 386 = -4*i. Calculate the remainder when 246 is divided by i.
50
Suppose 0 = 45*n + 37833 - 544083. What is the remainder when 4 - (n/(-36) + (-2)/(-4)) is divided by 29?
26
Let l = -2696 - -2985. What is the remainder when l is divided by 142?
5
Suppose -2*j + 0*j - 6 = -2*m, 0 = 3*m + 3*j - 9. What is the remainder when (-567)/(-33) - (19668/363 - 54) is divided by m?
2
Let v(w) = 5*w + 150. Let y be v(-29). Calculate the remainder when (-2)/(-5) + ((-1008)/y)/(-6) is divided by 6.
4
Suppose 1477*y - 1475*y - 5*b = 140, 5*y + 2*b - 350 = 0. What is the remainder when 141 is divided by y?
1
Let k be -8*2*(-8)/(-12)*-3. Suppose 0 = 5*f + k - 12. Let r(y) = 3*y**3 + 13*y**2 + y - 1. What is the remainder when 118 is divided by r(f)?
8
Let k = 26047 + -25915. What is the remainder when k is divided by 2/(-3) + 208/6?
30
Let n(a) be the third derivative of -a**5/30 - 7*a**4/12 - a**3/2 + 2*a**2. Let c = 2492 + -2498. Calculate the remainder when 34 is divided by n(c).
7
Suppose -69*p + 2798 = -431 + 676. What is the remainder when 9765 is divided by p?
34
Let x(b) = -18*b**2 + 92*b + 18. Calculate the remainder when 1085 is divided by x(5).
21
Let j(p) = p**3 + 8*p**2 - 20*p + 18. What is the remainder when j(-7) is divided by 11?
9
Suppose 0 = 2*q + 193 - 1177. Suppose q = 36*i - 32*i. Calculate the remainder when i is divided by 42.
39
Let j(s) = s + 35. Let g be j(-35). What is the remainder when (g + 1145/10)*(5 - 3) is divided by 33?
31
Suppose 0 = 20*a - 3875 + 3435. What is the remainder when 8950 is divided by a?
18
Calculate the remainder when 69 is divided by (-2 + 51)*30/(-3465)*-33.
13
Let u = 754 + -30. Suppose 9*t + u - 1012 = 0. Calculate the remainder when t is divided by 14.
4
Let r = -8625 - -10230. Calculate the remainder when r is divided by 1592.
13
Suppose -9 = 9*r - 2 - 79, -2*r + 14 = -p. What is the remainder when 118/2 + (0 - -2) is divided by p?
1
What is the remainder when 14122 is divided by (-145)/(-6) - 2 - (-12)/(-72)?
20
Let v = 288 + -286. Suppose 0*k + 138 = k. Suppose -156 - k = -v*g. Calculate the remainder when g is divided by 30.
27
Suppose 977*a = 945*a + 26176. What is the remainder when a is divided by 399?
20
Let u be -2 + (-2)/(-2 - 0). Let b = 2746 - 2740. Calculate the remainder when 24 is divided by (u + b)*(-32)/(-10).
8
Let x be (14/3 - -1) + (-22)/33. Suppose x*i - 79 = -v, i - 20 = -8*v + 12*v. Suppose -21*p + 170 = -i*p. Calculate the remainder when p is divided by 7.
6
Let g be 50/(-18) + (-6)/27 + -5. Let j(r) = 7*r + 125. What is the remainder when 198 is divided by j(g)?
60
Let k be (-8)/(-6)*75/(-10). Let n(s) = 0*s + 3*s + 4*s - 82*s**2 + 6 - 89*s**2 + 172*s**2. What is the remainder when n(k) is divided by 15?
6
Let b = 5632 + -5398. What is the remainder when b is divided by 45?
9
Suppose 0 = -32*u + 30*u + 6. Suppose 30 = 2*m + u*g + 4, 0 = 3*m + 3*g - 45. Let n(y) = y**2 + 4*y + 5. Calculate the remainder when m is divided by n(-5).
9
Let u = 2821 + -2795. What is the remainder when 2363 is divided by u?
23
Suppose 0 = -5*r - 212*x + 215*x + 6873, -2*r - 5*x + 2712 = 0. What is the remainder when r is divided by 49?
48
Suppose 0 = -n + 5 - 1. Suppose -29*q - n = -33*q. Suppose 0 = 3*z + 4*t - 39, z + 2*z - 21 = 2*t. What is the remainder when z is divided by q?
0
Suppose 2*d = -2 + 20. Let k be (-84)/(-35)*30/d. Suppose 0 = -5*u + k + 7. What is the remainder when 29 is divided by u?
2
Suppose -22 = 2*z - 10. Let h(f) = f**3 - 1. Let u(j) = 5*j**3 + 5*j**2 + 10*j + 3. Let b(c) = 4*h(c) - u(c). What is the remainder when b(z) is divided by 31?
27
Suppose -5*t = 9435 - 11340. What is the remainder when t is divided by 20 + 2 + -5 + 7?
21
Suppose 24*n + 4*o = 29*n - 358, -4*o + 160 = 2*n. What is the remainder when n is divided by 37?
0
Let p = -4186 + 4212. What is the remainder when 170 is divided by p?
14
What is the remainder when 156/9*3591/228 is divided by 35?
28
What is the remainder when 740 is divided by (-36128)/(-288) + (-20)/45?
115
Suppose 4*r = 5*h + 195, 4*r - 14*h + 18*h = 240. Suppose -3*n + r = -a + 50, 5*n + a = 11. Calculate the remainder when 12*((-16)/(-6))/4 is divided by n.
0
Let z be 95/38 + 1/(-2) + 0. Suppose 2*f = -z*h + 380, f - 756 = -3*f - 2*h. What is the remainder when f is divided by 38?
36
Let l = -15 + 65. Suppose 0 = 4*g + 16 - 0. Calculate the remainder when 33 is divided by 9 + l/15 + g/(-6).
7
Suppose -3*o = -2*b + 70, 107 = 3*b + 11*o - 16*o. Calculate the remainder when 159 is divided by b.
14
Suppose 5*l + 190 = -5*g, 5*g = 4*g - 3*l - 34. Let s = 43 + g. Calculate the remainder when 12 is divided by s.
0
Suppose 0 = 41*h - 72*h + 28861. What is the remainder when h is divided by 151?
25
Suppose -d - 22 = d + 4*k, -2*d - 3*k - 18 = 0. Let p(j) = -j. Let s be p(d). Suppose -3*b + 123 = -s. Calculate the remainder when 75 is divided by b.
33
Let h(x) = x**2 + 40*x + 347. What is the remainder when 101 is divided by h(-11)?
17
Let n = 14513 - 14408. Calculate the remainder when 12281 is divided by n.
101
Calculate the remainder when 696 is divided by (29044/318)/((-6)/(-9)).
11
Suppose -2*g + 4*r + 44 + 44 = 0, -4*g - 3*r + 187 = 0. Suppose -420*b + 4*l - 130 = -422*b, 3*b - 258 = 3*l. What is the remainder when b is divided by g?
33
Let x(s) = -216*s - 10 + 59*s + 2. What is the remainder when x(-1) is divided by 17?
13
Suppose 0 = -5*q - 2*k - 4 - 13, 2*k + 8 = -2*q. Let u be ((-4)/q)/((-54)/(-81)). Suppose 7*f - 190 = u*f. Calculate the remainder when f is divided by 20.
18
Suppose 304 = 2*v + 4*l, 25*l + 5 = 24*l. Calculate the remainder when 587 is divided by v.
101
Let p(t) = 3*t**2 - 21*t + 49. Calculate the remainder when p(9) is divided by 42.
19
Suppose 2*b - 503 = -4*l + 1133, 5*b = 3*l - 1253. Suppose l + 439 = 5*j + t, -2*j - 5*t + 317 = 0. Calculate the remainder when j is divided by 25.
21
Suppose 0 = -b + 4*y + 718, -2*y = 3*b - 665 - 1573. Calculate the remainder when b is divided by 18.
4
Suppose 154*k - 10 = 156*k. Let o(m) = -m**2 - 4*m + 14. Calculate the remainder when 71 is divided by o(k).
8
Suppose 0 = -5*b - 1 - 4. Let y be 0*(-1*(-3)/(-2) - b). Let z(h) = -h + 27. Calculate the remainder when 104 is divided by z(y).
23
Suppose 0 = 2*a + 3*i - 238 - 179, 0 = 4*i + 20. Suppose a = 2*o - o. What is the remainder when o is divided by 55?
51
Calculate the remainder when 127 - (-5 + 0 + 2) is divided by (130/3 - 0) + (-118)/(-177).
42
Let l = 5393 + -5361. Calculate the remainder when 2877 is divided by l.
29
Let c = -17 - -42. Suppose 0 = -3*g + 5 + 10, l + 4*g = c. Suppose -l*p = 5, j = -4*p + 6 - 0. Calculate the remainder when 35 is divided by j.
5
Let p = -8 - -11. Let g(h) = 3*h**2 + 14*h - 160. Let y be g(6). Suppose -y - 37 = -p*a. Calculate the remainder when 36 is divided by a.
13
Suppose -96 = -85*n + 87*n. Let o = 92 + n. Calculate the remainder when 173 is divided by o.
41
Suppose 3*t = 2*g + 3*g - 6000, 0 = -4*g + 4*t + 4808. Calculate the remainder wh