e 0*a = -2*j + 5*a - 61, -5*a = 5*j + 205. Let c = 25 - j. Suppose -5*u + 114*g + 94 = 116*g, 5*u + g = 102. What is the remainder when c is divided by u?
19
Let s(t) = 28*t**3 - t**2 - 2*t + 2. Let d be s(1). Suppose -23*y = -d*y + 36. Let j(i) = 2*i**2 - 6*i + 6. Calculate the remainder when y is divided by j(3).
3
Suppose -9*f = -5*f + 4*y - 8, -3*f + 6 = 5*y. Calculate the remainder when 38 is divided by f.
0
Suppose -10*x = 2*x + 8*x - 2020. Calculate the remainder when 342 is divided by x.
39
Suppose 4*x + 4*j - 1572 = 0, -2*x + 141 = -3*j - 665. Suppose -2*f + 158 = 5*b - 6*b, -2*b = -5*f + x. Calculate the remainder when 239 is divided by f.
77
Let j be (166/3)/((-34)/(-51)). Let p = 89 - j. Suppose 130 = 2*z + 3*z. Calculate the remainder when z is divided by p.
2
Let a(n) = 4*n - 5. Let k be a(2). Let t be -1 - k/(-2) - (-3303)/18. Let g = t + -103. What is the remainder when g is divided by 28?
25
Suppose 6*g = -0 - 0. What is the remainder when 116 is divided by (123/164)/(g - 1/(-40))?
26
Let r(f) = 229*f + 6396. Let x = -4 + 8. Calculate the remainder when r(-27) is divided by x.
1
Suppose 0*k = 5*f + k - 304, 0 = 4*f + 3*k - 252. Calculate the remainder when 116 is divided by f.
56
Suppose 5*m - 325 = -5*b, -3*m + 1313 = 5*b + 1126. Calculate the remainder when 218 is divided by m.
11
Suppose 156 + 9 = 3*r. Suppose -3*i = 2*h - 31 + 4, -8 = i - 5*h. What is the remainder when r is divided by i?
6
Suppose 5*y = -4*z + 4026, y + 3*z - 816 = 4*z. Calculate the remainder when y is divided by 58.
56
Let y be (5/(15/(-4)))/(2/(-3)). Suppose y*r = 11 + 5. Suppose -2*a + 5*q = -58, -5*a + q + 42 = -103. What is the remainder when a is divided by r?
5
Let s = 113 - 30. Suppose 90*t = s*t + 539. Calculate the remainder when t is divided by 26.
25
Let g be (5 - 1)/(2/(-5)). Calculate the remainder when (1/g)/((-9)/(-36))*-95 is divided by 21.
17
Suppose 44*l - 2640 = 34*l. Suppose 2*s - l = -6*s. Calculate the remainder when s is divided by 7.
5
Calculate the remainder when 819 is divided by (-141)/(-235) - (-591)/15.
19
Calculate the remainder when (20273/19)/((1 - 0)/(-5 - -6)) is divided by 12.
11
Let k(v) = -14*v + 541. Let p be k(0). Let f = p - 456. What is the remainder when f is divided by 29?
27
Let k(w) = 2*w + 78. What is the remainder when 723 is divided by k(-13)?
47
Suppose -f + 381 = -7*l + 2*l, 3*f = 2*l + 1208. Suppose -o + f = 5*h - 0*o, 5*h = -4*o + 394. Calculate the remainder when h is divided by 17.
14
Suppose -3*x - 1094 = -g, 3*x - 1329 = -2*g + 859. What is the remainder when g is divided by 5?
4
Let w(a) = 11*a + 112. Let k be w(-10). Suppose 4*y + 5*i = -y + 725, i + 287 = k*y. What is the remainder when y is divided by 76?
68
Suppose 5*g - 9*g - 64 = -2*k, 2*k - 44 = -g. Calculate the remainder when 473 is divided by k.
17
Let u = -14662 - -16543. Calculate the remainder when u is divided by 267.
12
Let h = -31 + 96. Calculate the remainder when h is divided by 1584/64 - (-3)/(-4).
17
Let u(z) = z**3 - 30*z**2 - 26*z - 58. What is the remainder when u(31) is divided by ((-11)/((-2)/(-2)))/(3 - 4)?
9
Let d = 98 + -59. Suppose -3*q + d = -57. What is the remainder when (-225)/27*-10*(-3)/(-2) is divided by q?
29
Let b = -237 - -259. Let k(m) = -m**2 + 22*m + 12. Calculate the remainder when 119 is divided by k(b).
11
Suppose -10*z + 1968 + 622 = 0. Let a = -101 + z. Calculate the remainder when a is divided by 32.
30
Let z = 277136 - 277043. What is the remainder when z is divided by 0 + -1 - (-26 - 0)?
18
Let x(j) = -j**3 - 27*j**2 + 13*j + 361. Let f = -56 + 82. Calculate the remainder when f is divided by x(-27).
6
Suppose -4*o + 109 = 133, d - 85 = o. Calculate the remainder when 1289 is divided by d.
25
Calculate the remainder when 9 - (-22656)/11 - (-44)/121 is divided by 2057.
12
Suppose 414 - 68 = 4*t + 2*u, 2*t - 163 = -3*u. Calculate the remainder when t is divided by 10.
9
Suppose 3*p - 7 = 38. Suppose -2*h + 137 - p = 0. Let g(y) = y**3 - 10*y**2 + 36*y - 329. What is the remainder when h is divided by g(10)?
30
Let z(y) = 9*y**2 + 851*y - 173. Calculate the remainder when z(-95) is divided by 54.
45
Let g(d) = 369*d - 8 - 374*d + 4. Calculate the remainder when 197 is divided by g(-3).
10
Suppose 144*w - 3665 - 1231 = 0. What is the remainder when 241 is divided by w?
3
Suppose 0 = -5*h - 4*q + 253 - 5, -230 = -5*h + 5*q. Suppose 73*i - h = 79*i. What is the remainder when 91 - ((-4)/(-5))/(i/(-40)) is divided by 44?
43
Let q be (-42)/24*-28 + -6. Suppose -4*d + 29 + q = 0. What is the remainder when 29 is divided by d?
11
Suppose 4*g - 771 = 6*g - 3*x, 3*g + 1155 = 5*x. Let d = g - -569. What is the remainder when d is divided by 26?
23
Let c(s) = 9*s**2 - 216*s + 861. Let i(x) = -x**3 + 11*x**2 - 2*x - 1. What is the remainder when c(4) is divided by i(10)?
62
Suppose 0 = 14*i - 15*i + 4*k + 6, -4*i - 4*k = -44. Suppose -6*n = 5*j - i*n - 130, -46 = -3*j - 4*n. Calculate the remainder when 130 is divided by j.
20
Suppose 3*c + 120 = 4*t, -2*t - c + 35 + 25 = 0. Suppose 5*p = 6*x - x - 3495, -4*p + x - 2811 = 0. Calculate the remainder when 1*p/24*-3 is divided by t.
28
Let w(z) = z**3 - 8*z**2 + 24*z - 22. What is the remainder when w(8) is divided by 36?
26
What is the remainder when ((-18)/3 - (-6 - (-10 + 8))) + 60 is divided by 35?
23
Let g = -9451 - -9731. Calculate the remainder when g is divided by 85.
25
Suppose -95*c - 1178 + 3838 = 0. What is the remainder when 160 is divided by c?
20
Let p = -29 - -38. Suppose -38 = -4*c - 2*m, 5*m - 14 = -c + p. Suppose c*w = 13*w - 65. What is the remainder when 21 is divided by w?
8
Calculate the remainder when (40120/(-70))/((-4)/42) is divided by 1502.
10
Let s = -247 - -243. Let m(t) = -26*t - 18. Suppose 5*p - 5*j + 4*j = 111, 5*p = -2*j + 108. Calculate the remainder when m(s) is divided by p.
20
Let c = -243 - -217. Let k = -10 - c. Let p(z) = z**3 + 6*z**2 + 1. Calculate the remainder when p(-5) is divided by k.
10
Let a be (-72)/(-27)*81/(-12). Let v(g) = g**3 + 20*g**2 + 31*g - 3. Calculate the remainder when v(a) is divided by 44.
43
Let v(d) be the third derivative of -d**6/120 + 23*d**5/60 + 79*d**4/24 + 7*d**3/6 - 121*d**2. What is the remainder when 61 is divided by v(26)?
28
Suppose -u + 336 = -s, 5*u - 317 = 4*s + 1367. What is the remainder when u is divided by 204?
136
Let d(t) = t**2 + 60*t - 935. Calculate the remainder when 19 is divided by d(-73).
5
Calculate the remainder when ((-28)/22)/(-7) - (-14230)/22 is divided by 28.
3
Suppose -185 = p + b - 519, 2*b = -3*p + 997. Calculate the remainder when p is divided by (-34 - -293)*(-3)/(-21).
33
Let s(c) = -24*c**3 - 55*c**2 - 9*c - 33. What is the remainder when s(-6) is divided by 6?
3
Suppose -11*t = -35*t + 168. Let s(c) = 36*c + 2. Let l = 23 + -22. What is the remainder when s(l) is divided by t?
3
Suppose 1184 + 1189 = 113*a. What is the remainder when 123 is divided by a?
18
Let i(g) = 19*g**3 + 5*g**2 - 7*g. Let k be 18/5 + 16/40. Suppose 2*o + 2*r - 90 = 0, k*o - 6*r = -5*r + 180. What is the remainder when o is divided by i(1)?
11
Let f be (23 - 23)/(4 + 1). Suppose -5*h + 748 - 683 = f. What is the remainder when 55 is divided by h?
3
Let m(s) = 19*s**3 + 2*s**2 - 3*s + 2. Let x be m(1). Let i = 22 - x. Calculate the remainder when 42 is divided by (23/i)/((-8)/(-16)).
19
Suppose 0 = -2*i + 152 + 472. Suppose -3*y + 182 = 5*c, -i = 2*y - 7*y - 4*c. Suppose 0 = -3*d + 44 + y. Calculate the remainder when 143 is divided by d.
35
Let h be (-1105)/91 + 12/(-14). Calculate the remainder when -8 + h/(39/(-834)) is divided by 11.
6
Suppose -54*j = -277 - 13331. Suppose 11*q + 7*q = j. Suppose 2*t - 9 - 47 = 5*l, 0 = 4*t - 4*l - 136. Calculate the remainder when t is divided by q.
10
Let u = 4624 + -2745. What is the remainder when u is divided by 188?
187
Suppose 5*o + 31 = -29. Let c be (o/10)/(((-32)/20)/4). Suppose -c*p - 246 = -4*v, 2*p - 2 + 61 = v. Calculate the remainder when v is divided by 16.
15
What is the remainder when 2 + 0 + -3 - (71 - 641) is divided by 186?
11
Calculate the remainder when 289 is divided by (4 + 10)*(105/(-10))/(-1).
142
What is the remainder when (6/(-7) - 336/392)/(14/(-637)) is divided by 59?
19
Let v be (9 - (-423)/(-45))*(-40)/(-1). Le