 = 12 - 8. Suppose -2*k - k = d*f - 73, -2*f + 2*k + 26 = 0. Calculate the remainder when -4*(-1)/f + 86/8 is divided by 4.
3
Let n(a) = 86*a**2 + 175*a - 176. What is the remainder when 329 is divided by n(1)?
74
Suppose 20*n - 3*n = 135*n - 69738. What is the remainder when n is divided by 16?
15
Let d(k) = -2*k**3 + 5*k**2 + 8*k - 3. Let i = -211 - -214. Calculate the remainder when 671 is divided by d(i).
11
Suppose -161*n + 41834 + 53156 = 0. What is the remainder when n is divided by 84?
2
Let o(d) = -7*d + 1. Let b be -5*(6/3 - 1). Calculate the remainder when ((-3752)/(-112))/((-4)/(-8)) is divided by o(b).
31
Calculate the remainder when -3 + -18*5/(-1) is divided by 12/(24/4) + 28 + 1.
25
Let k(f) = -53*f + 28. Let h be k(8). Calculate the remainder when 48 is divided by (0 - 5/35) + h/(-28).
6
Let j(n) = -859*n + 3449. Calculate the remainder when 6716 is divided by j(4).
8
Let d be 190/40 + (-6)/8. Suppose 4*r - 28 + d = -2*g, 15 = 3*r. Let f(y) = -y**2 - 5*y + 87. What is the remainder when f(-12) is divided by g?
1
Suppose 2616 = 5*f - 4*r, -4*r = -3*f - 0*r + 1568. Calculate the remainder when f is divided by 75.
74
Let g(u) = u**2 + 5*u. Let f be g(-3). Suppose 4*x = 103*x - 1386. What is the remainder when x is divided by -6 - f - (-3 + -1)?
2
Let m(s) = 2*s**2 + s - 42. Let n be m(13). Let a = n + -182. Suppose 0 = 4*t - 163 + a. Calculate the remainder when t is divided by 7.
2
Suppose 5*g + 5*n = -5 + 10, 4*g - 49 = 5*n. Calculate the remainder when 590/g - 6/18 is divided by 20.
18
Let r(l) = -l**2 + 5*l + 3. Let q be r(5). Let k(o) = 23*o + 134. Let t be k(-5). Let h = q + t. What is the remainder when h is divided by 12?
10
Let v(u) = 296*u**2 - 4*u. Let x be v(-1). Let g = -192 + x. What is the remainder when g is divided by 22?
20
Let n be 14/35*-2*55. Let c = n - -50. What is the remainder when 15 is divided by ((-84)/49)/(c/(-28))?
7
Let b be (25/(-10) + 0)/(1/(-290)). Suppose 5*g - 25 = 0, 5*o - 9*o - 5*g + b = 0. What is the remainder when o is divided by 59?
57
Let x(j) = -3*j - 24 + j**2 + 215*j**3 - 15 - 30*j**2 - 216*j**3. Calculate the remainder when 114 is divided by x(-29).
18
Suppose -356*q = -359*q - v + 240, v = 4*q - 341. Calculate the remainder when 6802 is divided by q.
79
Suppose 7*k - 3*k = -2*i + 80, 5*i - 56 = -2*k. What is the remainder when k is divided by 154/26 + (-20)/(-260)?
0
Suppose 0*z + 108 = 2*b + 3*z, 5*b - 284 = -4*z. Let w(j) = 562*j - 1107. Calculate the remainder when b is divided by w(2).
9
Calculate the remainder when 14/10 + (-9573)/(-5) is divided by 44.
24
Suppose -3*q - z + 7 = -32, -q + 2*z = -13. Let n(l) = -14*l**3 - 2*l**2 - 3*l - 2. What is the remainder when n(-2) is divided by q?
4
Let l = 127 - 87. Suppose 6*w - 489 = -3*p, 5*w + 85 = p + 475. Calculate the remainder when w is divided by l.
39
What is the remainder when (-1 - 5) + 1268 + (-1 + 8 - 5) is divided by 630?
4
Let t = -279 + 261. Let v = 8 - t. Calculate the remainder when 178 is divided by v.
22
Suppose -10*p = -4*p - 114. Let u = p - -20. What is the remainder when u is divided by (-4 + -6)/((1 + 1)/(-2))?
9
Suppose 102 = 4*t + 5*s, 15*t + 5*s = 27*t - 266. What is the remainder when 159 is divided by t?
21
Let n(x) = 3*x**3 - 4*x**2 + 3*x - 2. Suppose 11 = -q + 5. Calculate the remainder when n(3) is divided by ((-3)/q - -1)/((-3)/(-36)).
16
Let f(v) = 10*v - 137. Let x be f(-20). Let n = -311 - x. What is the remainder when 86 is divided by n?
8
Suppose -i = 2*k, 4*k - 5*k + 2 = 0. Calculate the remainder when 144 is divided by (1 + i - -21) + 6/2.
18
Let z = 1944 - 1776. Calculate the remainder when 3527 is divided by z.
167
Suppose 41*b - 14*b = -36*b + 63000. What is the remainder when b is divided by 25?
0
Suppose w + 725 = -132*z + 136*z, 5 = -5*w. What is the remainder when 5064 is divided by z?
177
Let s(r) = r**3 + 65*r**2 + 128*r + 208. Calculate the remainder when 489 is divided by s(-63).
79
Let f = -142 + 220. Let a(q) = 9*q**2 + 2*q - 2. What is the remainder when f is divided by a(1)?
6
Suppose -749101 + 138156 = -109*n. Calculate the remainder when n is divided by 89.
87
Let b = 1279 - 1865. Calculate the remainder when 110 is divided by (-12)/20 - b/10.
52
Suppose -7*z + 47 = -14*z + 264. Calculate the remainder when 2323 is divided by z.
29
Suppose 4*x = -11 + 75. Suppose -2*l = 4*d - 874, -13*d + 12*d - 2*l + 217 = 0. What is the remainder when d is divided by x?
11
Let p = -2645 - -2662. Calculate the remainder when 282 is divided by p.
10
Suppose -908 = 6*q - 4796. Suppose 342 = 10*m - q. Calculate the remainder when m is divided by 23.
7
Suppose -4*w + 3*g = -2*w - 1, -52 = -4*w - 4*g. Suppose -384 = -w*n + 5*n. What is the remainder when n is divided by 44?
40
Let h = -424 - -429. Let y = 14 + -11. Calculate the remainder when h is divided by y.
2
What is the remainder when 1151 is divided by 138/6 + 15 - -22?
11
Let b be (-4 - -4) + (4 - -1). Suppose -h + 29 = 5*l - b*h, -2*h + 8 = 0. Let a = 47199 + -47192. What is the remainder when l is divided by a?
2
Let w(c) = -2*c. Let j(x) = 28*x - 33. Let p(z) = j(z) - 5*w(z). What is the remainder when 564 is divided by p(3)?
78
Let i be 1/((-6 + 10)/(-36)). What is the remainder when 168 is divided by ((-84)/i + -5)*(5 + -2)?
12
Let r = 2248 + -2133. Calculate the remainder when 458 is divided by r.
113
Suppose n = -4*n - 4*c - 145, -4*n + c - 116 = 0. Let r = 68 + n. What is the remainder when r is divided by 12?
3
Let b(i) = i**2 + 7*i + 2. Suppose 2*n - 43 = 5*h, 0 = 2*n + h - 85 + 24. Suppose 5*m + n + 21 = 0. Calculate the remainder when b(m) is divided by 11.
10
Suppose 5*p - 65 = -5*i, 2*i + 3*i = -4*p + 62. Let r be -35 - -6*i/(-15). Let a = 8 - r. What is the remainder when a is divided by 16?
15
Let b(v) = 12*v**2 + 24*v + 25. Let y = -53 + 101. What is the remainder when y is divided by b(-1)?
9
Let d = 9774 - 6212. What is the remainder when d is divided by 10?
2
Calculate the remainder when 1923 is divided by (-32283)/(-34) - 15/(-3) - 6/(-12).
13
Let q(f) = 6*f**3 + 537*f - 7*f**3 + 5*f**2 - 538*f + 5. Suppose 24 = 4*h + 5*m + 8, -2*h + 8 = 5*m. Calculate the remainder when 31 is divided by q(h).
14
Let t = -72 - -75. Suppose -5*x + 270 = s, t*s = 8*s + 5*x - 1310. What is the remainder when s is divided by 11?
7
Let l = -7914 - -7952. Calculate the remainder when l is divided by 4/14 - 435/(-21).
17
Suppose 20*x - 7956 + 4 = -8*x. Calculate the remainder when 1148 is divided by x.
12
Let n(r) = -r - 40. Let u be n(-32). Calculate the remainder when 24 is divided by -2*7/u*4.
3
Suppose -17753 = 50*f + 10*f - 51293. What is the remainder when f is divided by 82?
67
Suppose 0 = 3*p + p - 16. Suppose -4*q - p = -120. What is the remainder when q is divided by 21?
8
Let h(n) = -5*n**3 - 2*n**2 - 7*n - 85. Let v(z) = -6*z**3 - 2*z**2 - 9*z - 85. Let p(x) = -5*h(x) + 4*v(x). What is the remainder when p(0) is divided by 8?
5
Suppose -44 = -3*s + 4*c, -2*s + 54 - 18 = -c. Calculate the remainder when 271 is divided by s.
11
Let t(b) = -4*b + 26. What is the remainder when t(-11) is divided by (39/(-26))/(9/(-138)) + 2?
20
Let w = -1297 + 1704. What is the remainder when w is divided by 34?
33
Let k(i) = -i**2 + 12*i - 14. Let j be k(10). Let w(g) = 3 - 2*g**2 + 7*g - 2 + 3*g**2. What is the remainder when w(j) is divided by 20?
19
Let c be ((-1)/(-2))/((-3)/1128). Let w = 315 + c. Calculate the remainder when w is divided by 2256/140 + 80/(-200) - (-2)/7.
15
Suppose 0 = -30*p + 26*p - 4*u + 2064, u = 2*p - 1044. Calculate the remainder when p is divided by 29.
27
Let b be (-23)/(-1) - 16/16. Calculate the remainder when (1*(-6)/9)/(b/(-2409)) is divided by 22.
7
Let j = 29 + -8. Suppose 0 = -3*i + 78 + j. What is the remainder when (3 - -1) + (i - -6) is divided by 16?
11
Let p be (-3)/(((-72)/(-196))/(-6)). Suppose -17 + p = 8*r. Suppose r*y - 5*b = 69, 0*y = y + b - 24. Calculate the remainder when 185 is divided by y.
17
Suppose 21*s = 3*u + 17*s - 783, u = 4*s + 261. What is the remainder when u is divided by 106?
49
Suppose -15*a + 20*a - 100 = 0. Suppose 0 = 4*m - 14*m + a. Suppose 12 = -3*c, 4*z + 0*c - 52 = m*c. What is the remainder when 119 is divided by z?
9
Let x = -2 - -29. Let w = 162800 + -162790. What is the r