+ 891 = -3*z - 0*z, -z = -3*p + 897. Suppose -5*w + 675 = h, 5*w - 2*h - 360 - p = 0. What is the remainder when w is divided by 34?
32
Let b(x) = -8*x + 1. Suppose 2*g - 5*g + 30 = 0. Let k(i) = -i. Let l(y) = g*k(y) - 2*b(y). What is the remainder when 19 is divided by l(2)?
9
Let o = 42 - 27. Suppose 7*x - 4*x = o. Suppose -4*y + x*s = -100, y - 5*y + 3*s + 92 = 0. Calculate the remainder when 59 is divided by y.
19
Let o = 5 - -1. Suppose -3*a + 12 = 4*r, -4*a + r + 0*r = 3. Suppose -b + a*f - 2*f = 7, -5*f = -3*b + 34. Calculate the remainder when o is divided by b.
0
Let s(r) = -r**3 + r**2 + 10*r + 23. Calculate the remainder when 113 is divided by s(-3).
26
Let r(h) = -49*h**3 + 2*h**2 + 2*h + 1. Let u be r(-1). Suppose 3*k = -v + u, 3*k - 4*v - 12 - 13 = 0. Calculate the remainder when k is divided by 9.
6
Suppose 3*v - 93 = n - 4*n, 0 = -5*v + n + 173. What is the remainder when 101 is divided by v?
33
Let m(d) = 13*d - 8. Let y be m(8). Suppose -5*r + v + 114 = 4*v, -5*r = -3*v - y. What is the remainder when 49 is divided by r?
7
Let d(x) = x**2 - 6*x + 8. Let w be d(5). Suppose w = n + 2. Let r(z) = 10*z**3 - 2*z**2 + 2*z - 1. Calculate the remainder when 25 is divided by r(n).
7
Let y = 4 + -62. Let o = 110 + y. Suppose 22 = c + c. Calculate the remainder when o is divided by c.
8
Suppose -257 = -13*q + 133. What is the remainder when 87 is divided by q?
27
Let u(p) = 133*p**2 + 15*p - 1. What is the remainder when u(-1) is divided by 46?
25
Let q be (-1)/(-3) + 341/3. Suppose 0*t - q = -2*t. What is the remainder when t is divided by 15?
12
Let m(j) be the third derivative of 3*j**4/8 - 3*j**2. Suppose 3 = 5*q - 2*w + w, -q = -5*w + 9. Calculate the remainder when m(q) is divided by 2.
1
Let q(a) = a**2 - 12*a + 15. Suppose -w = 6 - 16. Let u be q(w). What is the remainder when 27 is divided by (-4 + 2 + u)/(-1)?
6
Calculate the remainder when 430 is divided by ((-50)/(-15))/((-5)/(-18)).
10
What is the remainder when 28 is divided by -2*259/(-56) - (-1)/(-4)?
1
Suppose w = 4*w - 2*u - 5, 4*u + 8 = 4*w. Calculate the remainder when 2*w/12 + (-2275)/(-30) is divided by (-2)/4 - 53/(-2).
24
Suppose 2*u + 10*u - 456 = 0. What is the remainder when 69 is divided by u?
31
Let y(r) = 6*r + 1. Let v be y(-4). Let t = 12 - v. What is the remainder when 67 is divided by t?
32
Let s be (-6)/(-4)*342/27. Let l = s + -16. Suppose -5*d = -l - 22. Calculate the remainder when d is divided by 2.
1
Let b = -39 - -164. Suppose 5*z - b - 5 = 0. What is the remainder when 127 is divided by z?
23
What is the remainder when (3012/(-2))/(-76 - -74) is divided by 58?
57
Let s(v) = -13*v + 111. Suppose 0 = 3*l - 5*l + 114. Calculate the remainder when s(0) is divided by l.
54
Suppose 2*v + 65 = 5*q, -2*q + v + 40 = 13. Let h = 101 - 61. Calculate the remainder when h is divided by q.
7
Suppose -68*i + 1350 = 47*i - 15670. Let l = 44 - -7. What is the remainder when i is divided by l?
46
Calculate the remainder when 29 is divided by (5/(-2))/((-70)/168).
5
Let j(y) = -14 - 1 - 1 + y**2 - 13*y. Let w be j(15). Suppose -2 + 4 = 2*s, c - w = s. What is the remainder when 58 is divided by c?
13
Let c be (-194)/(-7) - (-16)/56. Let d = c - -33. What is the remainder when d is divided by 21?
19
What is the remainder when (0 - -46)*12/8 - 5 is divided by 13?
12
Suppose 61*v - 59*v + 4 = 0, 2*j - 4*v = 106. Calculate the remainder when 2/(-9) + 8756/36 is divided by j.
47
Suppose 0 = -4*y - 4*l + 8*l + 152, 0 = y - 3*l - 44. What is the remainder when y is divided by -12*1*-1*1?
11
Suppose 66*h - 798 = 9*h. Let v = 52 - 0. Calculate the remainder when v is divided by h.
10
Suppose -9 = 5*t - 64. What is the remainder when ((-474)/2)/(-3) + -3 is divided by t?
10
Suppose 4*b - 51 = -4*o + 97, 5*b = 3*o + 177. What is the remainder when b is divided by 20?
16
Let a(p) = 2*p**3 - 20*p**2 - 14*p - 6. What is the remainder when 225 is divided by a(11)?
61
Let g be (-6)/9*(-9)/6. Let p = g + 35. What is the remainder when 68 is divided by p?
32
Let j = 423 + -385. What is the remainder when 151 is divided by j?
37
Suppose 4 = v + 2*f, -3*f + 7 = 3*v - 5. Let y(z) = -z**3 + 37 + 4*z - v*z + 18. What is the remainder when y(0) is divided by 19?
17
What is the remainder when 1006 is divided by (-4)/(-8) + 140/8?
16
Suppose o = -2*a - 12 + 30, 31 = 5*a - o. Suppose 3*c - 125 = a. Calculate the remainder when 17 is divided by 3/15 - c/(-5).
8
Let j = 45 + -41. Calculate the remainder when 321/9 + 2/6 is divided by -1*1 + 60/(12/j).
17
Let b = -16 - -105. What is the remainder when b is divided by (-44)/(-11) + -14 + 29?
13
Let g(w) = w**2 + 8*w + 4. Let t be g(-9). Let r(a) = a**2 - 9*a + 12. Let d be r(8). Suppose -d*b + 15 = -t. What is the remainder when 12 is divided by b?
5
Suppose -2*l - 15 = -13, 576 = 4*j - 4*l. Calculate the remainder when j is divided by (-2)/(3 - (-267)/(-87)).
27
Suppose r + 5 = 12. Let k = r - 9. Calculate the remainder when ((-1)/k)/((-1)/(-2)) is divided by 1.
0
Let r(o) = -229*o + 3. Let d(k) = k + 1. Let v(t) = -5*d(t) + r(t). Let y be v(5). What is the remainder when 12/16 + y/(-16) is divided by 25?
24
Suppose 290 = -15*a + 25*a. Let b(t) = -4*t + 12. What is the remainder when b(-11) is divided by a?
27
Let z(i) = i**3 + 5*i**2 - 1. Let g(l) = -l**3 - 5*l**2 + 1. Let f(r) = -4*g(r) - 3*z(r). Calculate the remainder when f(-4) is divided by 9.
6
Let y = 33 - 12. Let m be (5/(-5))/(40/38 + -1). What is the remainder when (y + m)/(1/34) is divided by 23?
22
Let f(i) = i**3 + 6*i**2 + 5*i + 3. Let a be f(-5). Suppose -a*p = -h + 5*h - 37, 5*h = -10. What is the remainder when 87 is divided by p?
12
Let q(v) = v + 27. Calculate the remainder when 117 is divided by q(-6).
12
Suppose d = -p - 0*d + 116, -344 = -3*p - d. Calculate the remainder when p is divided by 41.
32
Suppose 5*q + 592 - 792 = 0. Calculate the remainder when 158 is divided by q.
38
Suppose -12*m = -7*m - 265. Calculate the remainder when m is divided by 3.
2
Calculate the remainder when (314/4)/((-109)/(-218)) is divided by 6.
1
Suppose -10 = s - 12. Suppose z - 19 = -f, -5*z + 2*f = -2 - 72. What is the remainder when s*((-115)/(-10) + 4) is divided by z?
15
What is the remainder when (1024/(-384))/((-2)/288) is divided by 185?
14
Suppose k - 3*g = 6*k - 55, 5*k = 5*g + 55. Suppose 5 = -2*x - 3*h - 0*h, -4*h + 1 = -5*x. Let c = 30 - x. Calculate the remainder when c is divided by k.
9
Suppose -6*o = -o - 400. Let g = o - 57. What is the remainder when 91 is divided by g?
22
Suppose 3*j = 7*j - 8. Calculate the remainder when 77 is divided by (23 - 0) + 6*j/(-4).
17
Suppose 10 = 5*s, -2*p - 2*s + 6 = -10. Let i be 4/p*(-3)/1. What is the remainder when 14 is divided by ((-5)/2)/(1/i)?
4
Let w = -267 - -122. What is the remainder when w/5*(-3 - -2) is divided by 10?
9
Suppose -2*g + 0 = -4. Let u(m) be the third derivative of m**6/120 + m**5/20 - m**4/8 + 21*m**2 + 5*m. Calculate the remainder when 39 is divided by u(g).
11
Let g be ((-332)/6)/(-5 + (-91)/(-21)). Suppose -117 - g = -5*f. What is the remainder when 155 is divided by f?
35
Let x(b) = b**2 + 65*b + 84. Calculate the remainder when x(0) is divided by 22.
18
Let f = -519 - -556. What is the remainder when 103 is divided by f?
29
Suppose -82*w + 87*w - 290 = 0. Calculate the remainder when 113 is divided by w.
55
Let r = -2 - -5. Suppose -3 = 5*c + 2, a - r*c - 11 = 0. What is the remainder when 17 is divided by 46/a + (-3)/4?
2
Suppose 8*c = 11*c - 3*h - 252, -258 = -3*c + h. Calculate the remainder when 433 is divided by c.
85
Let x(f) = 6*f - 3. What is the remainder when (7 - 5)*14/1 is divided by x(3)?
13
Let d = 1261 - 1251. Let t(h) = 4*h + 6. Calculate the remainder when t(8) is divided by d.
8
Let c(p) = -7*p - 166. Let v = -14 + 42. Calculate the remainder when v is divided by c(-24).
0
Let m be 10/(-4)*(-12)/3. Suppose -9*o - 18 = -m*o. Suppose -2*r + 70 = 2*b, 0 = 2*b - r - 64 - 3. What is the remainder when b is divided by o?
16
Let f = 602 - 581. What is the remainder when 82 is divided by f?
19
Suppose -j + 3*u + 26 = 0, -142 + 122 = 4*u. Suppose -r = -51 + 9. What is the remainder when r is divided by j?
9
Let k(p) = -p**2 - 33*p - 48. Calculate the remainder when 181 is divided by k(-31).
13