38
Let n(p) = -p**2 - 19*p - 12. Calculate the remainder when 33*(-7 + (9 - 0)) is divided by n(-16).
30
Let y(h) = -9*h**3 - 18*h**2 - 15*h - 5. Calculate the remainder when 229 is divided by y(-3).
108
Suppose -30*n + 3*n + 1701 = 0. Suppose 0*w - 2*w = -490. What is the remainder when w is divided by n?
56
Suppose 3*u + 10 = -y, 4 = -4*y - 2*u - u. Calculate the remainder when 18/8*(y - -2) is divided by (2/4)/((-9)/(-126)).
2
Let m(r) = -6*r**3 - 2*r**2 + 5*r - 1. Let g be m(-3). Let f = g - 67. What is the remainder when f is divided by 17?
10
Suppose 3*q + 12 = 4*k, -12*q + 10 = 5*k - 17*q. What is the remainder when 2092 is divided by k?
4
Let a = -1610 - -1708. Suppose 0*b - 3*r - 9 = b, 15 = -b - 5*r. Suppose -u = -b*u - 20. Calculate the remainder when a is divided by u.
18
Let w be (2 + -4 + 0)/(29/174). Suppose -5*k + 144 + 91 = 0. Calculate the remainder when k is divided by -2 - (w - 6/3*1).
11
Suppose -8*v - 2390 = 2*v. Let u = -219 - v. What is the remainder when u is divided by 3?
2
Let p = 536 + -515. Suppose h - 35 + p = 0. What is the remainder when 64 is divided by h?
8
Suppose 32*i + 64 = 24*i. Calculate the remainder when -3 + (i - (-37)/1) is divided by 5.
1
Suppose -j - 3*j + 2*t = -112, 0 = -j - 2*t + 23. Suppose -2*r - 2*x = -121 + j, 47 = r - 5*x. Calculate the remainder when 185 is divided by r.
44
Let n be 492/62 + (-4)/(-62). Suppose 210 = -p + n*p. What is the remainder when 206 is divided by p?
26
Let a = 18 - 12. Suppose -5*q - 3 = 3*w, -5*q + 2*w + 16 = -11. What is the remainder when a is divided by q?
0
Suppose -304 = 6*g - 370. Calculate the remainder when 47 is divided by g.
3
Calculate the remainder when (-58948)/(-9) + (-176)/(-792) is divided by 13.
11
Suppose -4*p + 2*m - 70 = 0, -5*p + 5*m = m + 83. Let b = 24 - p. Let r = 54 - b. Calculate the remainder when 142 is divided by r.
10
Let p(m) = -m + 5. Let w be p(16). Let j(b) = b**2 + 9*b + 32. What is the remainder when j(w) is divided by 24?
6
Suppose -3 = -r - 0. Let p(t) = -t**2 + 2*t + 9. Let j = 32 - 28. Calculate the remainder when r is divided by p(j).
0
Let z = 23941 + -23928. Calculate the remainder when 13504 is divided by z.
10
Let f(b) = b**3 - b**2 - 4*b + 654. Calculate the remainder when f(0) is divided by 134.
118
Suppose 0 = -40*d + 26*d + 56. Suppose 4*i + 302 = 33*x - 31*x, 3*x + d*i - 473 = 0. Calculate the remainder when x is divided by 16.
11
Let b = 156 + -160. Calculate the remainder when 29 is divided by 6*(11/55 - b/30).
1
Suppose 14*x - 11*x - 12 = 0. Let a(p) = 158*p - 369. Calculate the remainder when a(3) is divided by x.
1
Let y be (-3)/2*((-5)/5 + -33). Suppose 3*p = 2*a - 102, 2*a - 4*p + y = 155. Suppose -4*v + 0 = -a. What is the remainder when 45 is divided by v?
9
Let r = -3558 + 4392. Calculate the remainder when r is divided by 105.
99
Suppose d = 4*z - 8 - 13, 2*d - 24 = -3*z. Calculate the remainder when 8/z - 11704/(-114) is divided by 15.
14
Let t(s) = 1546*s + 4759. Calculate the remainder when 772 is divided by t(-3).
46
Suppose -5*n = -n - 4*h - 1292, 4*n = -2*h + 1268. What is the remainder when n is divided by (-124)/496*(-39 - 1)?
9
Let w = -40 + 45. Suppose 4*o + 5*k - 162 = 0, -w*o + 205 = 3*k + 2*k. Suppose 4*z = -9 + 77. What is the remainder when o is divided by z?
9
Let y(x) = 998*x**2 + 4647*x - 5. Calculate the remainder when y(-5) is divided by 424.
14
Suppose 4*q - 2*q - 4*y = 10, 0 = -2*q + y + 10. Suppose 5*m - q = -t - 64, -4*t = 3*m + 151. Let d = t - -74. What is the remainder when d is divided by 22?
18
Suppose 27*c - 24*c = -2*k + 2819, 2*c + 2*k = 1876. What is the remainder when c is divided by 239?
226
What is the remainder when 1847 is divided by (515/(-20))/(1426/184 - 8*1)?
96
Suppose 2*p - 308 = 78. Suppose -o = 2*s - 58, s - 42*o - 65 = -47*o. Calculate the remainder when p is divided by s.
18
Suppose 6 = z, 0 = -5*d - 5*z - 0*z + 405. Suppose -3*h + 11 + 42 = 4*r, r = 4*h + 37. What is the remainder when d is divided by r?
7
Suppose -137 = -3*q - s, -7*q - 5*s + 215 = -2*q. What is the remainder when 76 is divided by q?
29
Suppose -12 = -0*l - 3*l. Let s be -3*(-14)/6 - l. Suppose 0 = -s*q - r + 209, -224 = q - 4*q - 4*r. What is the remainder when q is divided by 25?
18
Let z(x) = x**2 - 19*x + 15. Let f be z(16). Let b = -31 - f. Calculate the remainder when 38 is divided by 8 - -1 - (-7 + 3 + b).
5
Let x(t) = -46*t + 75. Let l(v) = v**2 + 39*v + 38. Let b be l(-38). What is the remainder when x(b) is divided by 66?
9
Let s = 7860 - 7798. Calculate the remainder when 98 is divided by s.
36
Suppose 5*u = m - 1698, 34*m = 30*m + u + 6716. What is the remainder when m is divided by 8?
6
Let h(o) = o**3 - 22*o**2 - 20*o + 1. Let g be h(23). Let z = -5 + 30. What is the remainder when z is divided by (21/5 - 4)/(2/g)?
4
Let t = 32 + -7. Suppose -31*d + 26*d + t = 0. Suppose 0 = c - d*a - 78, 0*c - 2*a - 286 = -3*c. What is the remainder when c is divided by 17?
13
Suppose 0 = -n - 3*n + 72. Let j = 7917 + -7812. Calculate the remainder when j is divided by n.
15
Suppose -4*k = -2*q, q - 5*q = 2*k. Suppose q = 8*v - 1059 - 1269. Calculate the remainder when v is divided by 59.
55
Let i = -264 + 176. Let c = i + 150. Suppose 5*o + 4*h - 57 - c = 0, 2*o = h + 45. What is the remainder when o is divided by 4?
3
Suppose 357 = 13*k - 306. Let m = -102 + 111. What is the remainder when k is divided by m?
6
Let d(f) = f**3 + 11*f**2 + 10*f - 19. What is the remainder when 393 is divided by d(-6)?
90
Let s = 1726 + -1356. Calculate the remainder when s is divided by 120.
10
Suppose -13 = 2*n - 17. Suppose -8*s + 2130 = n*s. Calculate the remainder when s is divided by 59.
36
Let w = 17 - 3. Let p(d) = -23*d + 35. Let z(t) = 20*t - 35. Let c(m) = -6*p(m) - 7*z(m). What is the remainder when c(-10) is divided by w?
13
Let i(x) = -315*x - 28. Calculate the remainder when i(-1) is divided by (-1)/(-6)*2*174.
55
Let n(z) = z**2 + 16*z - 13. Let j be n(17). Suppose 5*w = 988 - j. What is the remainder when w is divided by 35?
18
Suppose 150 = 3*m - 3*w, 7*m + 151 = 10*m - 2*w. What is the remainder when 128 is divided by m?
26
Let i = -388 - -422. Suppose 5*s + w = 370, -314 = -4*s - 4*w - i. Calculate the remainder when 176 is divided by s.
26
Suppose 3*r + r + 36 = w, r + 79 = 2*w. Let b = -14 + w. Suppose 3*q - q = 3*k - 17, 4*k - 2*q - b = 0. Calculate the remainder when 33 is divided by k.
6
Let z = -52 - -96. Suppose 3*x = 2*c - 93, -c + 9 = -x - 21. What is the remainder when z is divided by 22/77 + x*10/(-21)?
12
Let l = -12910 + 16209. Calculate the remainder when l is divided by 62.
13
Suppose 592*k = 575*k + 1581. Suppose -9*l + 12*l - 36 = 0. Calculate the remainder when k is divided by l.
9
Let y(d) = -d**3 - 24*d**2 - 46*d - 41. Calculate the remainder when y(-26) is divided by 57.
56
Let f be ((-2)/((-16)/(-166)) + 4)*-8. Let j = f + -139. Let o(v) = -5*v - 8. Calculate the remainder when o(j) is divided by 11.
6
Let p(r) = -18*r - 581. Calculate the remainder when p(-38) is divided by 102.
1
Suppose 0 = 55*y - 60*y + 105. Let k(u) = 2*u**2 - u. Let q be k(2). What is the remainder when q*2/((-8)/(-26)) is divided by y?
18
Suppose -4226 = -p - 4*s, 139*s - 144*s + 21250 = 5*p. Calculate the remainder when p is divided by 41.
35
What is the remainder when 5848 is divided by 17/((-833)/(-6398)) - 20/35?
128
Let n = -4108 + 4410. Calculate the remainder when 919 is divided by n.
13
Let f = 135 - 139. Let j(t) = 3*t**2 + 2*t + 3. Calculate the remainder when 83 is divided by j(f).
40
What is the remainder when 283 is divided by (-195)/52*3016/(-65)?
109
Suppose 0 = -199*x + 202*x - 21. Calculate the remainder when (1/(-2))/((-2)/28) is divided by x.
0
Let n(k) = -k + 29. Let q be n(26). Suppose 5*m = 4*l + 213, -161 = -4*m - 3*l - q. Suppose -4*i = -209 - 431. What is the remainder when i is divided by m?
37
Let i(y) = 9*y**2 - 190*y - 577. Suppose -o + 232 = 3*o. Suppose -p = -3*h - 34, 2*p + 3*h - 7*h = o. What is the remainder when i(-3) is divided by p?
17
Let n(r) = r**2 + 6*r - 23. Let y be n(7). Let f = -63 + y. Suppose 4*t - 29 = -4*v + 151, f*v = -3*t + 131. Calculate the remainder when t is divided by 7.
5
Let b(a) = 11*a**2 + 26*a - 15 - a**3 + 11*a**2 + 28. Suppose 