ose -286*y + 13133 = -64*y + 116*y + 233*y. What is the remainder when 4/(-6)*39/(-1) is divided by y?
3
Let k = -90 - -52. Let t = k - 8. Let o = t - -77. What is the remainder when 59 is divided by o?
28
Suppose -4*v - 102 = -146. Suppose 0 = -4*w - 13*o + v*o + 748, 2*w + 5*o - 382 = 0. What is the remainder when w is divided by 24?
18
Let l(f) = 4*f + 7. Let d be l(-3). Let p be d/20 - 30/8. What is the remainder when 17 is divided by p - 20/(-5) - -4?
1
Let q = -181 + 186. Suppose -104 = -q*v + 4*t, 5*v - 128 = -2*t - 0*t. Calculate the remainder when 61 is divided by v.
13
Let b be (-2)/(2 - (3750/534 + -5)). Suppose -5*y + b = 4*f, y + 4*f + 30 = 3*y. Calculate the remainder when 47 is divided by y.
13
Let l(d) = -5*d - 1. Let t(w) be the second derivative of -w**4/6 + 7*w**3/3 + 26*w**2 - 158*w. Calculate the remainder when t(7) is divided by l(-6).
23
Let t be -3 + 1 + -4 - -6. Let d(m) = -m**2 - 6*m + 297. Calculate the remainder when d(t) is divided by 30.
27
Let w(x) = 6*x**3 + 8*x**2 + 5*x - 45. Let m be w(5). Suppose 0 = -4*p + m - 34. Calculate the remainder when p is divided by 17.
3
Let j = 15217 - 15126. What is the remainder when j is divided by 14 - 12 - (-80 - -1)?
10
Let k = 82 - 92. Let q be -3 + 3/((-6)/k). Suppose 0 = -q*j + 22 + 24. Calculate the remainder when j is divided by 5.
3
Let u be ((-112)/(-20))/((-16)/10 - -2). Suppose 19*q + 20 = u*q. What is the remainder when (3 + 140/q)/(-2) is divided by 3?
1
Suppose -x - 3*m + 30 + 96 = 0, 0 = x - 3*m - 138. Calculate the remainder when 919 is divided by x.
127
Let b = -15705 + 19287. Calculate the remainder when b is divided by 13.
7
What is the remainder when 3415 is divided by 80/2 + (2 - 2/(-11)*-22)?
33
Let c = 39 + -19. Let x be ((-2)/((-8)/270))/(5/(-10)). Let m = -76 - x. Calculate the remainder when m is divided by c.
19
Suppose 15*q - 148 = -13. Suppose 2*l + 2 = 4*c, -2*l + 26 = 3*c - 0. What is the remainder when q is divided by (l/3)/(1/(-3)*-1)?
2
Let o = -8 - -16. Suppose 4*i + 4 = 3*i. Calculate the remainder when 38 is divided by (26/o)/((-1)/i).
12
Let o(r) = -r**3 + 5*r**2 + 4*r + 6. Suppose 2741 = 114*f - 7909 - 408. What is the remainder when f is divided by o(5)?
19
Suppose 0 = 54*u - 8979 - 2037. What is the remainder when u is divided by 195?
9
Calculate the remainder when ((-8632)/(-260))/(2/10) is divided by 43.
37
Suppose -2824 = -106*z - 44*z - 124. What is the remainder when 38 is divided by z?
2
Let f = 221 - -80. Suppose 2516*k = 2506*k + 610. Calculate the remainder when f is divided by k.
57
Suppose 28*j + 1 - 57 = 0. Suppose -c - 5*f + 7*f = -102, -j*c + 172 = 4*f. Calculate the remainder when c is divided by 38.
18
Suppose -14*u = -8*u + 3888. Let f = u - -713. What is the remainder when 1038 is divided by f?
63
Let z = 822 - 706. Suppose -2*p = 5*c - 5 - 151, -12 = -4*p. What is the remainder when z is divided by c?
26
Suppose 13*f - 3*f = -90. Calculate the remainder when 211 is divided by (444/f + 2)/((-4)/6).
69
Let r(m) be the second derivative of m**4/4 + 2*m**3/3 - 4*m**2 - 151*m + 1. Calculate the remainder when r(5) is divided by 14.
3
Suppose 5935 = -379*r + 386*r + 3*w, -2*r = -4*w - 1720. Calculate the remainder when r is divided by 9.
4
Let j(c) = c**2 - 17*c - 89. Let s be j(22). Let b(i) = i**2 - 18*i - 7. Calculate the remainder when b(s) is divided by 15.
11
What is the remainder when 108 - (-2 - -2 - -3) is divided by 8?
1
Let l(t) = -33*t + t**2 + 20 + 9*t**2 - 8*t**2. Let h be l(16). Suppose 142 = h*x + 50. What is the remainder when 39 is divided by x?
16
Let m(h) = -58*h + 29. Calculate the remainder when m(-9) is divided by (24 + -21)/((-3)/(-79)).
77
Suppose 0 = -4*h + 3731 + 2349. Suppose h = 36*i - 17*i. What is the remainder when 234 is divided by i?
74
Suppose 286*f - 142*f = 157*f - 1196. What is the remainder when f is divided by (-2)/(-9) - (-241)/9?
11
Let s = -2960 + 4261. Calculate the remainder when s is divided by 14.
13
Let t be 2 + ((-4)/(-1))/(-4). Suppose -4*y = r - 28, -y - t = r - 38. What is the remainder when 119 is divided by r?
39
Suppose -2*x - 1532 = -b, 0 = -49*b + 50*b - 4*x - 1522. Suppose 0 = 268*s - 274*s + b. What is the remainder when s is divided by 42?
5
Let q = 11692 - 8578. What is the remainder when q is divided by 32?
10
Let b = -17 - -51. Let s = 8 + -202. Let w = 260 + s. What is the remainder when w is divided by b?
32
Let z(i) = 74*i - 535. Let p = -48 + 92. What is the remainder when z(9) is divided by p?
43
Let a be 3 - 0 - (-303 - 0/2). Suppose -4*i + 50 + a = 0. What is the remainder when i is divided by ((72/20)/6)/((-1)/(-30))?
17
Let h(k) = 2 + 3*k - k + 0 + 1. Let z be h(0). Suppose -25 = -4*f - 3*w, 13 + 8 = z*f + 3*w. Calculate the remainder when 8 is divided by f.
0
Let w(u) = 4*u - 148. Let t be w(-17). What is the remainder when 136 is divided by t/(-21) + ((-88)/14 - -6)?
6
Let s = -440 + 445. Calculate the remainder when (-1724)/(-6) - s - (-10)/6 is divided by 19.
18
Let a = -1496 - -1551. Let l(h) = h**2 - 14*h - 4. Suppose -4*c = -10*c + 96. Calculate the remainder when a is divided by l(c).
27
Suppose -2*u + 7 = -4*d - 41, -u + 32 = -4*d. Let b(n) = -n**3 + 4*n**2 + 11. Let w be b(5). Calculate the remainder when 78 + w + (-1 - 0) is divided by u.
15
Suppose 3*g - 5*r + 13 = 4*g, -2*g - r + 62 = 0. Let p = 2119 + -2107. Calculate the remainder when g is divided by p.
9
Calculate the remainder when ((-140)/70)/(1/(-289)) is divided by 165.
83
Let z = -114 + 90. Let s = 63 - z. What is the remainder when s is divided by (30/(-9))/(1/(-9))?
27
Let x be (-2961)/45 + 12/15. Let t = x + 112. What is the remainder when t is divided by 10?
7
Let h(n) = 89*n - 4647. What is the remainder when 272 is divided by h(53)?
62
Suppose -u + 0*q - 3*q + 168 = 0, q - 366 = -2*u. What is the remainder when u is divided by 52?
30
Let q = 6235 + -6089. Suppose 2*s = -4*a + 90, -97 = -5*s + 2*a + 80. Calculate the remainder when q is divided by s.
35
Suppose 3*z - 3174 = -0*z + 4*o, z + 5*o = 1058. Suppose -s + 1081 - z = 0. What is the remainder when 31 is divided by s?
8
Suppose 0 = 3*t + 3*c + 147, 3*c + c = 3*t + 161. Let q = 23 - t. Suppose -3*g + 45 = -36. Calculate the remainder when q is divided by g.
20
Let r be (-1)/(-4) + (7 - 1180/(-16)). Let d = r - -31. What is the remainder when d is divided by 29?
25
Let g(y) = y**2 - 8*y - 7. Let n be g(-12). Let o = n - 79. Calculate the remainder when o is divided by 13.
11
Suppose 3*b + 77 = 20*c - 15*c, 4*c - 63 = b. Suppose -10*l - 66 = -c*l. Calculate the remainder when (-1)/4 + 73/4 is divided by l.
7
Let i(m) = m**3 + 6*m**2 - 1161*m - 8026. Let g(x) = -x**2 - 5*x - 3. Let p be g(-3). Calculate the remainder when i(-7) is divided by 13 - (p + -1 + -3).
10
Suppose -24*j = -14*j - 20. Suppose -j*n = -3*z - 12, -2*z + 0*n - n - 1 = 0. Calculate the remainder when (2816/110)/(z/(-5)) is divided by 33.
31
What is the remainder when 2/(-12) + 7595/30 + 1 is divided by 74?
32
Let g = -148 - -145. Let l(d) = 3*d**2 - 8*d - 14. Calculate the remainder when 73 is divided by l(g).
36
Let b(j) = 104. Let t(z) = z - 101. Let k(d) = 5*b(d) + 4*t(d). What is the remainder when k(-3) is divided by 12?
8
Suppose l - 262 - 250 = -2*y, 2*l - 4 = 0. Calculate the remainder when y is divided by 9.
3
Suppose 7*j - 193 = 24. Let n(l) = -7*l + 75. Let f(p) = -2*p + 19. Let g(z) = 9*f(z) - 2*n(z). What is the remainder when g(-10) is divided by j?
30
What is the remainder when 64 is divided by 21/4 - 63/(-84)?
4
Suppose -18 - 4 = -p. Let y = 50 - p. Suppose -g - y = -3*g. What is the remainder when 40 is divided by g?
12
Suppose 20 = -v - 3*v. Suppose -13*z + 55 = -8*z. What is the remainder when ((-3)/v)/((-5)/(-175)) is divided by z?
10
Let q(z) = 573*z**2 - 138*z - 273. Calculate the remainder when q(-2) is divided by 56.
55
Let z(t) = -t**3 + 9*t**2 - 9*t + 8. Suppose -5*q + 51 = 3*i, 35*i - 40*i - 8 = -2*q. What is the remainder when z(6) is divided by q?
8
Let p = 94 + -47. Suppose -5*y - 3*w + 245 = 0, -2*y = -5*w - 20 - p. Calculate the remainder when 226 is divided by y.
42
Let a = 43 - 21. Suppose 3*y = a + 29. Suppose -6*i + 3 = -57. Calculate the remainder when y is divided by i.
7
Suppose -181 = -2*b + 125. Let g(w) = 20*w