 = 2*b - 7. Suppose 2*y = h + 18, -6 = -3*y + 5*h + 21. Calculate the remainder when y is divided by b.
3
Let n = 47 - 12. Calculate the remainder when -174 + 184 - (-118)/2 is divided by n.
34
Suppose 0 = -64*k + 24753 + 4175. Calculate the remainder when k is divided by 126.
74
Suppose 18*x - 4433 = -15*x + 2*x. What is the remainder when x is divided by (-1)/(-5) + (-1120)/(-25)?
8
Suppose -38 = 3*y - 23. Calculate the remainder when 86 is divided by -10*(y/20)/((-2)/(-12)).
11
Suppose 3*i = 12, -2*m - 3 + 21 = 2*i. Suppose 69 = 3*d - j, -7 = 2*d - 3*d - m*j. What is the remainder when d is divided by 9?
4
Let y = 41566 - 38697. What is the remainder when y is divided by 68?
13
Suppose -2*w - 120 = -4*k, -5*k - 6*w + 149 = -9*w. Calculate the remainder when 274 is divided by k.
26
Let j(a) = 5*a**2 + a - 1. Let m(y) = y**2 + 10*y + 38. Suppose 2*u + 10*u = -48. What is the remainder when j(-3) is divided by m(u)?
13
Let f = -6142 + 6194. Let b(c) = -22*c**3 - c**2 + c + 1. Let v(o) = -o**3 - 3*o**2 - 1. Let j be v(-3). Calculate the remainder when f is divided by b(j).
10
Let b(w) = -w**3 - 14*w**2 - 15*w + 6. Let h = 14 + -27. Let d = -91 - -103. What is the remainder when b(h) is divided by d?
8
Suppose 0 = j + 3*m - 2061, -3*j - 5*m - 1225 = -7424. Calculate the remainder when j is divided by 17.
16
Let c = 7371 - 7145. What is the remainder when c is divided by 200?
26
Let c(d) be the second derivative of -d**4/4 - 7*d**3 - d**2 + 4*d + 2. Calculate the remainder when c(-13) is divided by 22.
15
Let b(r) = 15*r + 16. Suppose -251 = -5*t + 6*h - 4*h, -4*t - h = -206. Calculate the remainder when t is divided by b(1).
20
Suppose 4*d = -5*s + 130, 0 = 3*s + d - 3*d - 100. Suppose -75*a - s = -77*a. What is the remainder when 74 is divided by a?
14
Let l = 309 - 212. Suppose 91*g + 55 = 90*g. Let h = l + g. Calculate the remainder when h is divided by 9.
6
Suppose -4*i = 5*n + 1284, i - 7*n = -10*n - 321. Let g = -317 - i. Calculate the remainder when 6 is divided by g.
2
Let v = 54 + -23. Let m(z) = -z**2 + 33*z - 29. What is the remainder when 97 is divided by m(v)?
31
Let a = 834 - 592. Let v = -150 + a. Suppose -5*t + 6*t - v = 0. What is the remainder when t is divided by 31?
30
Let n = -39557 + 41785. What is the remainder when n is divided by 54?
14
Let u be -7*(4/(-7))/(8/4). Suppose 0 = -9*n - u*n + 44. Calculate the remainder when 35 is divided by n.
3
Suppose 4*h = 4*r - 348 - 0, 0 = -r - 3*h + 111. Calculate the remainder when r is divided by 67.
26
Let g be (-20)/((-2)/8 + 135/300). Let x = g + -22. Let z = -14 - x. Calculate the remainder when z is divided by 10.
8
Suppose 10 + 11 = 2*w + 9. What is the remainder when 9 is divided by w?
3
Suppose -3*k - 11*k - 7*k = 0. Suppose -26*o + 102 + 522 = k. Calculate the remainder when 92 is divided by o.
20
Let j(a) = 2*a**2 - 12*a + 43. Let y be j(17). Suppose 11*o = -109 + y. Calculate the remainder when o is divided by 26.
2
Suppose -10*a + 162 = -2*f, -2*a = 3*f - 26 + 31. Suppose 2*w - 700 = -4. Calculate the remainder when w is divided by a.
12
Let o = 240 + -1. Suppose 0 = 3*t + j - o, -150 = -0*t - 2*t - 3*j. Let k = t + -67. What is the remainder when k is divided by 8?
6
Let z(c) = -c**3 - 59*c**2 + 320*c + 136. Calculate the remainder when z(-64) is divided by 118.
18
Let c(q) = 4*q**3 + 4*q**2 - 2*q - 3. Let y be c(3). Let f = y - 31. Calculate the remainder when 29 is divided by (4 - f/20)/((-3)/20).
5
Suppose 4*t + 4 = 4*i, 4*i + 5*t - 22 - 18 = 0. Suppose -4*z + 159 = 3*j - z, -i*j + 300 = -2*z. What is the remainder when 462 is divided by j?
56
Suppose -4906*o = -4908*o + 440. Calculate the remainder when o is divided by 80.
60
Let w(p) = -p**2 + 11*p + 3. Calculate the remainder when 15 + -4 + -19 + 56/1 is divided by w(10).
9
Let m = 6706 - 6681. Let r = -1 - 25. Calculate the remainder when m is divided by 6/4*r/(-3).
12
Let y = -14020 + 14084. What is the remainder when 1086 is divided by y?
62
Suppose 0 - 6 = -2*p, 0 = 4*o - 3*p - 31. Let u be 6/(-15) + 17/5. Suppose -2*s + 29 = r + o, 3*s + u = 2*r. Calculate the remainder when 61 is divided by r.
7
Suppose -19*q - 5665 = -24*q + 4*d, 0 = 3*q + 3*d - 3426. What is the remainder when q is divided by 38?
35
Let b = -519 - -577. Suppose b = z + 50. Suppose -j = 5*k - 64, 3*k - 13 - 11 = 3*j. What is the remainder when k is divided by z?
4
Suppose 0 = 5*b - 312 - 373. Suppose -4*m + 14 = 46, 2*m = -4*k + 264. What is the remainder when b is divided by k?
67
Let q = -75 - -100. Let u be ((-245)/q - -1)*-10*3. Suppose -17*t - u = -20*t. What is the remainder when t is divided by 18?
16
Let k(u) = u**2 - 5*u - 5. Let j be k(6). Let i(n) be the first derivative of 19*n**3/3 - 3*n**2/2 + 903. What is the remainder when 31 is divided by i(j)?
15
Let b = -273 + 301. What is the remainder when b + (6 - 56/8) is divided by 10?
7
Suppose -17*g = -6*g + 6*g - 11662. Calculate the remainder when g is divided by 4.
2
Let i(g) = -2*g - 3. Let n be i(-6). Let h(m) = 3*m + m + 3*m + m - 13. Calculate the remainder when 231 is divided by h(n).
54
Suppose -630 = 102*n - 117*n. Calculate the remainder when 405 is divided by n.
27
Suppose 5*h + 4*p - 45 = 0, 6*p - 36 = -4*h + 2*p. Let f(m) = -2*m + 115. Calculate the remainder when f(-5) is divided by h.
8
Suppose -5*p = -5*t + 10, -4*t + 3*p - 12 = -22. Suppose 2*y = -t*q + 154, 3*y - 71 = -2*q + 4*y. Calculate the remainder when q is divided by 14.
9
Suppose 740 = 4*m + 5*f, 17*m - 14*m + f - 544 = 0. Suppose 143*x = 155*x - m. What is the remainder when 174 is divided by x?
9
Let a(g) = -g**3 + 7*g**2 - 6*g + 7. Let b(s) = s**2 + 18*s - 6. Let j be b(-18). Let c be j/15 - 160/(-25). Calculate the remainder when 47 is divided by a(c).
5
Let r be (-11 - 56/(-7))*8. What is the remainder when 257 is divided by -8*(-21)/r*-2?
5
Suppose 2*o = 2*m + 48, -o = -5*o + 5*m + 101. Let t be (-2)/(((-12)/(-184))/((-24)/32)). Let y = t + o. What is the remainder when 125 is divided by y?
41
Suppose 296*x = 341*x - 51975. What is the remainder when x is divided by 20?
15
Let z(d) = -d**3 - 15*d**2 - 13*d + 9. Let s be z(-14). What is the remainder when 41 is divided by -8*s/20 + (-2 - -7)?
6
Let b be ((3/(-6))/(-1))/(4/184). Suppose b - 5 = 3*r. Suppose -r*n + 4 = -152. What is the remainder when 47 is divided by n?
21
Let s(n) = -6*n - 35. Let m = 205 + -213. Suppose -y = 4*q - 3*y - 72, 4*q + 2*y = 88. Calculate the remainder when q is divided by s(m).
7
Let o(m) = 4*m**3 - 4*m**2 + 24*m - 59. Calculate the remainder when 515 is divided by o(3).
5
Suppose 3*r - 3463 = -8*x + 4*x, 0 = -5*x - 5*r + 4325. Let w = 922 - x. Calculate the remainder when w is divided by ((-9)/6)/(6/(-56)).
12
Let b(f) = f**2 + 18*f + 66. Let s be b(-16). Suppose 0*u = -3*u - 42. What is the remainder when ((-60)/u)/(s/119) is divided by 8?
7
Let p(c) = -c + 7. What is the remainder when (4 - (-3 + 372/52)) + 66462/2067 is divided by p(0)?
4
Suppose -25*z + 6468 = -3*z. Suppose 0 = p - 129 - z. What is the remainder when p is divided by 25?
23
Calculate the remainder when 1391 is divided by 33/(-216) - (-15)/40 - 7898/(-18).
74
Suppose -1055 - 1767 = -166*a. Suppose b - 10 + 0 = 0. What is the remainder when a is divided by b?
7
Suppose -10164 = 16*d + 153996. Calculate the remainder when ((-6)/15)/(9/d) is divided by 92.
88
Suppose -2*a - 106 = -4*a. Let u = 1036 - 614. What is the remainder when u is divided by a?
51
Suppose 10 = 2*t + 6. Suppose n + 26 = t*n. Suppose -109 = -5*u + n. What is the remainder when u is divided by 6?
3
Let x(r) = -r**3 + 12*r**2 - 20*r - 5. Let l be x(10). Let p(z) = z**3 + z**2 - 24*z - 7. Calculate the remainder when 145 is divided by p(l).
2
Let a(u) = 2*u + 50. Let g be (-3)/7 - (-6)/14. What is the remainder when a(g) is divided by (3 + 2)*1 - -21?
24
Let u(m) = 27*m**3 - 2*m**2 + 17*m - 15. Calculate the remainder when 234 is divided by u(1).
18
Let n(j) = -2*j**2 - 19*j + 6. Let y be n(-8). Calculate the remainder when 436 is divided by y/(-24) + 2/(8/257).
58
What is the remainder when -6 + 6/(42/77) + (-14080)/(-11) is divided by 642?
1
Let k = 0 + 6. Suppose 7*r - 5*r = k. Suppose m - 5*s + 13 - 45 = 0, r = 4*m + 5*s. What is the remainder when 33 is divided by m?
5
Let g b