se -5*b = -2*b + i - 401, 0 = 4*b - 5*i - y. Suppose 3*m - 10 = b. What is the remainder when m is divided by 10?
8
Suppose -2 = t, -3*s - 343 = -8*s + 4*t. What is the remainder when s is divided by 56*(-11)/(-176)*34/7?
16
Suppose 0 = u - 11*u + 140. Let a = 14 - u. Suppose -k - q + 55 = -a*k, -k + q + 47 = 0. Calculate the remainder when 100 is divided by k.
49
Let f be 29*2 + 105/(-21). Let y = f + 130. Calculate the remainder when y is divided by 47.
42
Let x = -80 - -103. Let h(w) = -6*w + 134. What is the remainder when h(0) is divided by x?
19
Let u = -135 - -134. Calculate the remainder when (136/170)/(u/(-35)) is divided by 19.
9
Suppose -5*y = -6*y - 5, 0 = 5*l + 3*y - 9315. What is the remainder when l is divided by 104?
98
Suppose 14*j + 77 = 133. Suppose j*t - 214 + 6 = 0. What is the remainder when 98 is divided by t?
46
Let z(q) = -q**3 - 16*q**2 + 17*q + 23. Let o = -32 - -15. Calculate the remainder when -3 + 93/(-3 + 4) is divided by z(o).
21
Let o(b) = -b**3 - 2*b**2 - b - 54. Let p be o(0). Let q = p + 75. What is the remainder when 43 is divided by 1*(-2)/(-1) + q?
20
Let t(n) be the second derivative of 5*n**4/12 + 5*n**3/2 - 31*n**2/2 + 10*n + 4. Calculate the remainder when t(4) is divided by 55.
54
What is the remainder when (-43)/((-473)/51942) + -11 is divided by 9?
4
Suppose 2*b = 5*v + 52 + 52, -3*v + 156 = 4*b. Suppose b = 2*x - 4. Calculate the remainder when x is divided by 5.
3
Let k = -139 + -64. Let c = k + 287. Calculate the remainder when c is divided by 15.
9
Suppose -261*j + 2839871 - 782669 = 0. What is the remainder when j is divided by 29?
23
Let z = -6265 - -6774. Calculate the remainder when z is divided by 33.
14
Let w(l) = 3*l**3 + l**2 - 3*l + 2. Suppose -20*s - 7 = -27. Calculate the remainder when 85 is divided by w(s).
1
Suppose 12*y = 5*w + 14*y - 675, -4*w + 537 = y. Suppose 0 = -5*l + 85 + 45. What is the remainder when w is divided by l?
3
Suppose 185*c = 446 + 3994. What is the remainder when ((-24)/(-14))/((-6)/(-483)) is divided by c?
18
Let s(m) = 13*m - 42. Let w be s(4). Let c be ((-12)/10)/((-4)/w). Calculate the remainder when 83 is divided by (-6)/(c/(-14) - 0).
27
Let m(w) = 11*w - 7*w + 8*w**2 + 7*w - 7 + 12*w. Let i = 14 - 3. Calculate the remainder when m(-4) is divided by i.
7
Let x be (0/(0/(-3) + 1))/(-2). Suppose x = 490*h - 491*h + 23. Let u(m) = -m + 11. What is the remainder when h is divided by u(6)?
3
Let f(n) = 704*n**2 + 171*n - 171. What is the remainder when f(1) is divided by 59?
55
Let n(a) = 3*a**3 - 28*a**2 + 28*a - 37. Calculate the remainder when 342 is divided by n(9).
74
Let w be ((-4)/(-6))/((-2)/(-42)). Let j(u) = u + 1. Calculate the remainder when 43 is divided by j(w).
13
Let h = -319 - -323. Suppose f + 3*w - 26 = 0, 3*w = h*f - 2*f - 7. What is the remainder when 33 is divided by f?
0
Suppose 0 = 4*y - 2*u + 16, u - 2 = -5*y - 2*u. Let l be ((-198)/(-4))/(y/8). Let j = -136 - l. Calculate the remainder when j is divided by 32.
30
Suppose 242*n - 5253 = 225*n. What is the remainder when n is divided by 26?
23
Let c(a) = -4 + 47*a - 53*a + 3*a**2 + 12. Suppose -3*l + 6*l + 5*j = 40, 20 = -l + 5*j. Calculate the remainder when c(l) is divided by 15.
8
Suppose 0 = 5*p - r - 12898, -2*r - 5516 + 352 = -2*p. What is the remainder when p is divided by 60?
59
Let r(f) = -36*f**2 - 179*f + 8. Suppose -3*n + 3*k = -51, -5*k - 3 = -n + 18. Calculate the remainder when n is divided by r(-5).
1
Let h be (-6370)/21 - (20/(-6))/(-5). Let q = 342 + h. Calculate the remainder when 151 is divided by q.
37
Suppose -13*b - 2608 = -176*b. Suppose 20 = 3*a - a - h, 5*a + 2*h = 68. Suppose a*z + 252 = b*z. What is the remainder when z is divided by 32?
31
Suppose 0 = 2*c - 3*z - 53 - 46, c - z = 47. Let j(y) = 2*y**2 + 11*y + 43. Let d be j(-7). Let s = d - c. Calculate the remainder when 65 is divided by s.
21
Suppose -5*m + 34 = -46. Let x = 61 - 63. Calculate the remainder when (-40)/60*x*(-138)/(-8) is divided by m.
7
Let a(i) = 24*i - 319. Suppose 4*r + 6 - 98 = 0. What is the remainder when a(18) is divided by r?
21
Let s = 3614 - 3564. Calculate the remainder when 311 is divided by s.
11
Suppose w + 26 = 3*o, 2*w = 4*o - 7*o - 88. Let p(m) = 2*m**3 + 78*m**2 + 75*m + 36. What is the remainder when p(w) is divided by 72?
2
Let n = -5227 + 5974. What is the remainder when n is divided by 5?
2
Let z(g) = -86*g + 740. What is the remainder when z(-7) is divided by 30?
22
Suppose -b + 243 = 2*s, 0 = 9*b - 4*b - s - 1160. Let u = b + -216. What is the remainder when 27 is divided by u?
10
Suppose -564*g + 21 = -567*g, a - 68 = 4*g. Suppose l + 0*l - 34 = -5*d, 0 = -2*l - 4*d + 44. What is the remainder when a is divided by l?
12
Suppose -2*t - 110 = 110. Let n = 137 + t. What is the remainder when 215 is divided by n?
26
Let z = -3887 - -4015. Calculate the remainder when 1406 is divided by z.
126
Suppose -2065 - 2919 = -28*t. Let w = t - 0. Suppose 5*b - 5*x + 48 - 273 = 0, -3*x = -b + 45. Calculate the remainder when w is divided by b.
43
Suppose 5*b + 2*g = 4, 0 = -2*b + g + 11 - 4. Let y be -54*(-1 + b)*(3 + -2). Calculate the remainder when 5 is divided by 18/y + (-14)/(-6).
1
Suppose -3*d + 7*d - 664 = -4*q, 0 = 5*q - 5*d - 800. Calculate the remainder when 10918 is divided by q.
160
Calculate the remainder when 507 is divided by 9 + 4*13/(-52) + 146 + 5.
30
Suppose 5*x - 17 + 588 = 4*g, 0 = -5*g - 3*x + 723. What is the remainder when 382 is divided by g?
94
Suppose 0 = -4*q - k + 2*k + 315, -2*q + 4*k = -140. What is the remainder when q is divided by 17?
12
Suppose -113 = -3*r + 2*f, 3*r + 3*f - 8*f - 107 = 0. Suppose 5*q - 1306 = -3*a, -a - 2*a + 2*q = -1271. What is the remainder when a is divided by r?
37
Suppose -20 = -2*p - 2*n, -5*n = -7*p + 6*p + 40. Suppose 0 = -r + 104 + 89. What is the remainder when r is divided by p?
13
Suppose -4*o - 42 = -5*l, 5*l + 4*o - 6 = 2*l. Suppose -10*h + 64 = -l*h. Calculate the remainder when 35 is divided by h.
3
Let v be 742/3 + 28/42. Suppose -15 = -2*y + 4*b + 109, 3*b + v = 4*y. Calculate the remainder when y is divided by 24.
14
Let k = -38 - -64. Let o be (-16 - k) + -2 + -2 + 2. Let x = 98 + o. Calculate the remainder when x is divided by 19.
16
Suppose -63 = -5*n - r, -n + 5*r + 19 = 2*r. Suppose 296 = -6*z - 88. Let v = z + 122. Calculate the remainder when v is divided by n.
6
Let n = 14962 - 10405. What is the remainder when n is divided by 80?
77
Suppose 64*l + 87 = 67*l. Suppose 3*f - 2*c - 37 = 0, 4*f = -2*c + 68 - 28. What is the remainder when l - 4*15/(-20) is divided by f?
10
Let m be 1/(-2) + ((-4290)/(-4))/5. Suppose -13*d = -m - 241. Let v = d - 4. What is the remainder when 61 is divided by v?
30
Suppose 4*j = 4*r - 4, 3*j - 11*r + 15*r = -3. Let u(t) = -3*t**3 + 3*t**2 + 3*t + 3. Calculate the remainder when 11 is divided by u(j).
5
Let k(v) = 44*v**2 - 5*v - 27. What is the remainder when k(-5) is divided by 50?
48
What is the remainder when (-1825)/(-2) - 48/(-32) is divided by 9?
5
Suppose -4 = -3*h + 44. What is the remainder when (-1043)/(-5) + (-1112)/695 is divided by h?
15
Let q(p) = -10*p + 60. Let s be q(4). Suppose 3*a + 7*a = s. What is the remainder when 17 is divided by a?
1
Let c = -173 - -185. Suppose -4*q + c = 3*k - 54, -5 = -q + 5*k. Calculate the remainder when 133 is divided by q.
13
Suppose 47*z - 18752 + 53015 = 0. Let s = z + 760. Let r(k) = -k**2 - 16*k - 4. What is the remainder when r(-7) is divided by s?
28
Let s = -23 + 30. What is the remainder when (2 + 81)/(6 - (s + -2)) is divided by 20?
3
Suppose -5*o - l + 400 + 375 = 0, 3*o - 2*l - 478 = 0. What is the remainder when 1548 is divided by o?
144
Suppose -112 = 142*y - 149*y. Suppose 5*g = w - 30, 4*g + y = -2*w + 6. Let f = 4 - 1. What is the remainder when w is divided by f?
2
Suppose 3*n = 3*z + 2*z - 360, 0 = 3*n. Suppose -z*o + 74*o - 136 = 0. What is the remainder when o is divided by 35?
33
Let o be (-10)/(-75) - 399/(-45). Let r = o - -74. What is the remainder when r is divided by 18?
11
What is the remainder when 2348 is divided by 270 + (3306/133 + -26)*(-7)/(-2)?
220
Let v(f) = 41*f**2 + 18. Calculate the remainder when 45 is divided by v(0).
9
Suppose -2*x + 2*m = -118, -m = -5*x + 413 - 122. Let g 