4*l - 480. Let z(r) = 2 - r**2 - 9*r**3 - 1 - 12*r**3. Calculate the remainder when l is divided by z(-1).
19
Suppose 4*c - 199 = 3*o, c + 4 = -2*o + 51. Suppose -z + 32 = u - 3*z, 0 = 3*u - 2*z - 84. Suppose -u = -m + c. What is the remainder when m is divided by 19?
18
Calculate the remainder when 979 is divided by 8/3 - 340/(-30).
13
Let o be (-4)/1*3*(-124)/(-48). Let r = -15 - o. What is the remainder when 1/(-2)*(-59 + 1) is divided by r?
13
Let v(s) = s**2 + 7*s - 11. Let n(r) = -3*r - 51. What is the remainder when n(-30) is divided by v(-9)?
4
Suppose -15 = -5*r, 4*i - 5*r = 8*i - 59. What is the remainder when 28 is divided by i?
6
Let s(u) = 45*u**3 - u**2 - u - 1. Let p be s(-1). Let q = -37 - p. Calculate the remainder when 44 is divided by q.
8
Suppose 2*v - 3*o + 122 = 0, -v + 3*o = -0*v + 58. What is the remainder when (-4)/((-4)/(v/(-4))) is divided by 9?
7
Suppose -3*q + 943 = 565. What is the remainder when q is divided by 64?
62
Suppose -7*q = -11*q + 3*j + 213, -220 = -4*q - 4*j. Calculate the remainder when 102 is divided by q.
48
Suppose 3*t + 2*i = 5*i + 225, 2*i = -5*t + 354. Suppose -3*j - j = -t. What is the remainder when 33 is divided by j?
15
Suppose -2*y - 40 + 14 = -4*w, -6 = 2*y. What is the remainder when 96 is divided by w?
1
Let v = -2 + 4. Let x(a) = a**v - 2*a - 3*a - 2*a + 1. What is the remainder when 34 is divided by x(8)?
7
Let g = -623 - -852. What is the remainder when g is divided by 7?
5
Suppose 15*f - 18*f + 15 = 0, 5*f - 181 = -4*k. What is the remainder when k is divided by 10?
9
Let p be 28*(1 - 3/6). Suppose -p = -0*t - t. Suppose -s + t = -25. Calculate the remainder when s is divided by 14.
11
Let j(w) = -6*w + 2. Let i(a) = a + 18. Suppose -40*s = -38*s + 14. What is the remainder when j(-5) is divided by i(s)?
10
Suppose -120 = 20*v - 40*v. What is the remainder when -1 - -1*9*2 is divided by v?
5
Let v(i) = -2*i**2 + 10*i - 6. Let l be v(4). Suppose 116 = 4*o - l*o. What is the remainder when o is divided by 10?
8
Suppose 8*j + 159 = 983. What is the remainder when 294 is divided by j?
88
Suppose -n + 65 = 5*q, -57 = -3*q + n + 2*n. Suppose 56 + 20 = 2*t. Calculate the remainder when t is divided by q.
10
Suppose 370 - 134 = 4*t. Suppose -l + 14 = -2*u - 1, u - 45 = -3*l. Calculate the remainder when t is divided by l.
14
Suppose -t - 3*t = x - 32, 3*t = -3*x + 15. Suppose 4*s - 32 = 2*s. Suppose 2*y = -5*j + 38, 4*j - s = -y - 0*j. Calculate the remainder when y is divided by t.
6
Let z = 688 - 630. Calculate the remainder when 635 is divided by z.
55
Let q(m) = 6*m**2 - m + 1. Suppose 5*d - 6 = -1. Let j(c) = c**2 - 1. Let t(o) = d*q(o) - 3*j(o). Calculate the remainder when 40 is divided by t(2).
12
Let v(s) = 2*s - 22. Let f be v(12). Suppose 0 = -f*b + 5*z + 45, 4*b = 2*z + 74 + 40. What is the remainder when 89 is divided by b?
29
Let r = -77 - -5. Let k = r - 33. What is the remainder when (23 + 1)*k/(-28) is divided by 23?
21
Suppose 876 = 5*g + 266. What is the remainder when g is divided by 25?
22
Suppose -10*t + 7*t + 91 - 13 = 0. Calculate the remainder when ((-6)/9)/((-4)/618) is divided by t.
25
Let r(l) = -89*l + 2. Let z(w) = w**3 - 5*w**2 - 7*w + 5. Let c be z(6). Calculate the remainder when r(c) is divided by 46.
45
Let t = 1071 + -846. Calculate the remainder when t is divided by 41.
20
Let t = -7 + 21. Let m = -15 - -20. Suppose 9*y = m*y + 20. Calculate the remainder when t is divided by y.
4
What is the remainder when 35 is divided by 2*((5 - -4) + 2)?
13
Let l = -193 + 270. What is the remainder when l is divided by 39?
38
Let s = -19 - -63. Let m = s - 14. Calculate the remainder when m is divided by 7.
2
Suppose 3*w + 5 = 17. Suppose -5*y + h + 3*h + 466 = 0, -4*y - w*h + 380 = 0. What is the remainder when y is divided by 32?
30
Let u be (-666)/15*(-10)/4. Suppose l + 9 = 4*l + 3*r, -2*l + 12 = 4*r. Suppose 2*g + 15 - u = l. Calculate the remainder when g is divided by 25.
23
Let t(i) = -i**2 - i. Let q be t(0). Let c be (-34)/(-1) - q/3. Suppose 0 = -l + c - 0. Calculate the remainder when l is divided by 9.
7
Suppose -124 = -j - 17. Suppose -1 = -3*h + j. Suppose 2*q - h = -5*t + t, -2*q - 18 = -2*t. What is the remainder when 15 is divided by t?
6
Suppose 0 = -17*g + 32*g - 540. Calculate the remainder when 862 is divided by g.
34
What is the remainder when 14 is divided by 145/30 + -3*4/(-72)?
4
What is the remainder when (-3 - -23 - -408)*1/4 is divided by 18?
17
Let q = 58 - -72. What is the remainder when q is divided by (97 + 10/5)*2/6?
31
Let t(a) = 12*a + 6. Suppose -4*k = y - 15, -4*y - 16*k + 82 = -11*k. What is the remainder when t(9) is divided by y?
22
Suppose j = -3*j - 2*q - 108, 0 = 4*j - 3*q + 118. Let c = j - -45. Let n = -88 - -136. Calculate the remainder when n is divided by c.
14
Suppose -2927 = -149*y + 649. What is the remainder when 471 is divided by y?
15
Let d(k) = k**3 + 3*k**2 + k + 4. Suppose 6 = 3*o + 3*l, -o + 0*l - 13 = -2*l. Let g be d(o). What is the remainder when 37 is divided by -4 + (-32)/(-2) + g?
11
Calculate the remainder when (-315)/(-28) - 2/8 is divided by 112/10 - 1/(5/1).
0
Suppose -4*a + 112 = -0*a. Let q = a + -22. What is the remainder when 20 is divided by q?
2
Suppose s = 6 + 26. Let n be 2/(-4) - (-21)/2. Suppose 2*r - n = 12. Calculate the remainder when s is divided by r.
10
Let v be (1 - (4 - 3))/1. Suppose -2*x - 3 = -x + 4*k, -4*x - 3*k + 14 = v. Suppose x*y - 51 = 134. What is the remainder when y is divided by 19?
18
What is the remainder when 393 is divided by (-1)/1 - -71 - (-80)/(-20)?
63
Let z(m) = -106*m + 863. Calculate the remainder when 554 is divided by z(8).
14
Suppose -2*d - d + 159 = 0. Calculate the remainder when d is divided by (-8)/20 + 4176/290.
11
Let z(i) = i**2 - 12*i + 11. Let f be z(11). Let v be 5 + f + -2 - 8. What is the remainder when 12 is divided by 2*(-4)/8*v?
2
Suppose -100 = -2*s + 20. Suppose -2*g + s = 3*d + g, 0 = -d + 2*g + 5. Suppose -5*m + 8*m = d. What is the remainder when 19 is divided by m?
4
Let o = 868 - 709. Calculate the remainder when o is divided by 90.
69
Let a(d) = d**2 + 5*d + 6. Let z be a(-5). Suppose z = -3*i + 27. Calculate the remainder when 13 is divided by i.
6
Let f be (-2)/(-3 + (-7)/(-3)). Suppose -z + 192 = f*z. Calculate the remainder when z is divided by 18.
12
Suppose 4*t + 3*v - 81 = 0, 4*t + 193 = v + 278. Calculate the remainder when (40/(-3))/(1/(-6)) is divided by t.
17
Let k(i) = i**2 + 37*i - 52. Calculate the remainder when 77 is divided by k(-39).
25
Let m = -1624 + 1778. What is the remainder when m is divided by 76?
2
Suppose -5*o - 10 = 0, 25 = -3*y + 2*o - 73. Let l = -19 - y. Suppose -7 - 35 = -b. What is the remainder when b is divided by l?
12
Suppose 5 = n + 3*t, -n + 9 = 5*t - 0. What is the remainder when -2 + (17 - 2 - -3) is divided by (-18)/((-1)/(n/(-2)))?
7
Suppose 2*r + 3*s - 4 = 0, -3*r + 8*r + 2*s = -1. Calculate the remainder when ((5 + (-15)/5)*-8)/r is divided by 9.
7
Let v be 1*(5 + 3) + -2. Let b(l) = -4*l**2 - 3*l**2 + v*l**2 - 5*l - 6*l. What is the remainder when 35 is divided by b(-9)?
17
What is the remainder when 326 is divided by 100/(-15)*-3 + -1 + -4?
11
Let j(q) = -q**2 + 12*q + 2. Let l be j(12). Let r be (-237)/(-6) - 1/l. Calculate the remainder when r - (-4 - (-6)/2) is divided by 14.
12
Let a = 8 - -1. Suppose 5*s - 4*d = -16, -5*d - 3 = 5*s - 23. Suppose s = -2*g - 0*k + 4*k + 78, -31 = -g - 2*k. Calculate the remainder when g is divided by a.
8
Suppose 0 = 3*g - 8 - 34. Let p = 108 + -214. Let b = -102 - p. Calculate the remainder when g is divided by b.
2
Let v = -462 + 578. What is the remainder when v is divided by (-19)/(-2) - (-2)/(-4)?
8
Suppose 2*g - 10 = 0, 0 = 3*s + g + 4*g - 31. Suppose -s*d + 34 = -k - k, d = -5*k + 23. What is the remainder when 35 is divided by d?
17
Let w(s) = s**3 - 14*s**2 + s + 24. Calculate the remainder when 145 is divided by w(14).
31
Let p(c) = -3*c**3 - 1 - c + 2*c**3 - c - 4*c**2. Let y = -42 - -51. Calculate the remainder when p(-5) is divided by y.
7
Let w(b) = b**2 - 6*b + 38. Calculate the remainder when 607 is divided by w(6).
37
Let m = 360 + -310. What is the remainder when m is divided by 30?
20
Let t(a) be the third derivative of -8*a**2