uppose -8*j = -12*j + 48. Suppose 6*k = 10*k - j. Suppose -k*b = -81 + 15. What is the remainder when b is divided by 12?
10
Suppose -3 - 21 = 3*j. Let g(y) = -y**3 - 6*y**2 + 11*y. Let m be g(j). Let r = -12 + m. Calculate the remainder when 53 is divided by r.
25
Let x be (-36)/((-3)/6*4). Calculate the remainder when 129 is divided by (-2)/(-12) - (-393)/x.
19
Let c = 45 - 26. Let m(l) = 8*l - 18 - 4*l - c. Calculate the remainder when 51 is divided by m(16).
24
Let o(w) = 2*w**2 + 5*w - 4. Let k = -31 + 36. Suppose -d + k*d = -u + 93, 12 = d - 2*u. What is the remainder when d is divided by o(-4)?
6
Let l = -5 + 7. Let r = -22 + 64. Calculate the remainder when r is divided by (-30)/l*(-3)/3.
12
Suppose -5*o + 7*o = 22. Let w(m) be the third derivative of m**5/12 + 59*m**4/24 + 4*m**3/3 - 2*m**2 + 4*m. What is the remainder when w(-12) is divided by o?
9
What is the remainder when ((-11)/33)/(3/(-2997)) is divided by 67?
65
Let u be -288*4/((-80)/15). Calculate the remainder when 135 is divided by (19/2 - 1)/(54/u).
33
Let o(c) = -c**3 + 7*c**2 - 7*c + 26. Calculate the remainder when o(6) is divided by 20.
0
Suppose 0 = 5*c - 28 - 12. Let q = c + 3. What is the remainder when (-2)/1 - (-21 + -1) is divided by q?
9
Suppose 212 = 6*d + 14. Calculate the remainder when 361 is divided by d.
31
Let x = 558 + -540. Calculate the remainder when 214 is divided by x.
16
Let a(z) = -z**3 + 10*z**2 + 15*z - 22. Calculate the remainder when 55 is divided by a(11).
11
Let v be 4*15/12*1. Suppose 15 = -v*b, -3*t - 4*b + 348 = -2*b. What is the remainder when t is divided by 60?
58
Suppose 128*r = 129*r + 5*a - 57, 5*a = -2*r + 124. Calculate the remainder when r is divided by 18.
13
Let s(q) = q**3 + 17*q**2 - 4*q - 9. Calculate the remainder when s(-17) is divided by 15.
14
Suppose -2*f + 6*f - t = 24, -5*f - 2*t = -17. Calculate the remainder when (-1862)/(-140) - (-6)/(-20) is divided by f.
3
Suppose -50 = -8*g + 3*g. Let l be (2/4)/((-2)/92). Let z = 14 - l. What is the remainder when z is divided by g?
7
Suppose 2*q = -6 - 2, 5*q + 21 = -y. Let p = 28 - y. Let r = 32 - 24. Calculate the remainder when p is divided by r.
5
Let b(y) = y**3 + 15*y**2 + 23*y + 15. What is the remainder when b(-6) is divided by 68?
65
Let j(r) be the second derivative of r**5/20 - r**4/3 + 2*r**3/3 - r. Calculate the remainder when (-39)/(-5) + (-5 - (-252)/60) is divided by j(3).
1
Let a(l) = l**2 - 7*l - 5. Let h be a(8). Suppose h*d + 4*y - 2 = 37, d = -4*y + 21. Let i = 25 - d. What is the remainder when i is divided by 9?
7
Suppose -4*c - 8 - 12 = 0, 0 = -5*g + 2*c + 140. Calculate the remainder when g is divided by ((-22)/55)/(1/(-30)).
2
Suppose 0*z - 3*z - 95 = -4*k, -3*k + 4*z = -80. What is the remainder when 39 is divided by k?
19
Let n(i) = -2*i**3 + 33*i**2 - 13*i - 18. What is the remainder when 3778 is divided by n(16)?
28
Let l = 22 + -19. Suppose 3 = l*d - 3. Suppose -3*i - 1 = r + 4*r, -2*r = 2*i - d. What is the remainder when 6 is divided by i?
0
Let m(u) = 12*u - 4. Let q(y) = y**3 - 19*y**2 + 7*y + 210. What is the remainder when m(3) is divided by q(18)?
8
Suppose 435 = 45*g - 40*g. Calculate the remainder when g is divided by 13.
9
Suppose -96 = -4*k - 3*w, 2*w = 1 + 7. Calculate the remainder when 35 is divided by k.
14
Suppose -4*f - 2 = -2*a, 0 = 3*f + 6*a - a - 5. Suppose -4*s = -y + 24, f = 5*y + 3*s + 2*s - 245. What is the remainder when y is divided by 23?
21
Suppose 6*x - 447 = 81. Calculate the remainder when 1055 is divided by x.
87
Suppose 0 = 17*k - 21*k + 268. Suppose 2*m - 3*y - 145 = 0, -4*m - 5*y - k = -390. What is the remainder when m is divided by 20?
17
Let f = -66 - -72. Suppose 2*j = f*j - 112. What is the remainder when j is divided by 15?
13
Suppose 699 = -744*d + 747*d. Calculate the remainder when d is divided by 90.
53
Let a(b) = -b**3 - 8*b**2 - 10*b + 7. Let g(o) = -o + 1. Let u(m) = a(m) - 5*g(m). Let t be u(-7). What is the remainder when 37 is divided by ((-39)/t)/1*4?
11
Let r(v) = -v**2 + 7*v + 2. Suppose 0 = 2*k + 2 - 14. Let l(d) = d**2 - 4*d - 7. Let c be l(k). Calculate the remainder when 47 is divided by r(c).
11
Suppose -4*s + w + 3*w + 256 = 0, 2*w = 8. What is the remainder when 203 is divided by s?
67
Let x be 4*(-4*1)/16. Let o = x - -4. Suppose 5*d = -o*p + 139, -p + 3*d = -3*p + 92. What is the remainder when p is divided by 11?
10
Let t(r) = -19*r - 1. Suppose 0 = -3*x + i + 163, 0*x - 3*x - 2*i = -160. Let m = x + -21. Calculate the remainder when m is divided by t(-1).
15
Suppose -2*r + 28 = -4*z - 92, -5*r = 2*z - 276. Let j = -53 + r. What is the remainder when (-1 + -2)*5/(-3) is divided by j?
2
Let j be -2*(-7)/(-35) + (-77)/(-5). Calculate the remainder when 91 is divided by 23/3*(j + -12).
22
Suppose -2*l - 2 = 24. Let w = -12 - l. Calculate the remainder when 13 is divided by -6*4/(-8) + w.
1
Let p = -1256 + 1606. What is the remainder when p is divided by 51?
44
Let k = 331 + -252. Calculate the remainder when k is divided by 47.
32
Let p(n) = 2*n**3 + 3*n**2 - n - 2. Let g be p(-2). Let f(m) = m**2 + 10*m + 6. Let j be f(g). Calculate the remainder when 10 is divided by 100/36 + (-4)/j.
1
Let g be 11/(-22) + (-6)/4. What is the remainder when g/((0 + 2)/(-22)) is divided by 12?
10
Suppose 0 = -4*v - 2*o + 6, 0*o - 2*o = -v + 4. What is the remainder when 42 is divided by 1/(-5)*v + 248/20?
6
Suppose -8*w = -4 - 84. Let c(q) = q**2 + 10*q. What is the remainder when c(-13) is divided by w?
6
Suppose -31 = -2*f + 189. Let u = 121 - f. What is the remainder when u is divided by 5?
1
Suppose 3*w = -5*c + 126, c + 3*w = 24 + 6. What is the remainder when 41 is divided by c?
17
Suppose 322 = a - 3*r, 4*r + 523 = 3*a - 428. Calculate the remainder when a is divided by 69.
37
Suppose 0*z + 5*p = z - 9, 2*z - 3*p = 18. Suppose -23*o + 238 = -16*o. Calculate the remainder when o is divided by z.
7
Suppose -3*y = 3*o - 3, 0*y + 2*y = 4*o + 20. Let w be 13 - (y - (6 + -1)). What is the remainder when 18 is divided by ((-36)/w + 4)*7?
8
Let t = -169 - -173. Suppose 0 = -0*q - t*q + 36. Calculate the remainder when q is divided by 3.
0
Let a = 11 - -17. Suppose -4*y - y + 551 = 2*b, -2*b + 6 = 0. Calculate the remainder when y is divided by a.
25
Let m(y) = -y**2 - 28*y - 21. Let j = -39 - -12. Calculate the remainder when 22 is divided by m(j).
4
Let r = 4 - -14. Calculate the remainder when 2/9 + -3 + (-4522)/(-63) is divided by r.
15
Let d(c) be the third derivative of c**6/120 - c**5/12 + c**4/3 + 4*c**3/3 + 16*c**2. What is the remainder when d(4) is divided by 13?
11
Let k(a) be the third derivative of a**5/30 - a**4/24 + a**2. Let h = -115 + 137. What is the remainder when h is divided by k(2)?
4
Let h(l) = -33*l - 2. Let y(s) = 7*s - 45. Let m be y(15). Suppose 0 = -j - 2*k + 27, -4*j + 5*k + m = j. What is the remainder when h(-2) is divided by j?
13
Let p(h) = 2*h - 1. Let f be p(5). Let k(r) = -r**2 + 16*r + 2. What is the remainder when k(f) is divided by 23?
19
Suppose 2*x + 5 - 15 = 0. Let f = 535 + -513. Calculate the remainder when f is divided by x.
2
Suppose a = -4, 9 + 15 = -4*m + 3*a. Let y be 8 + m - (132 + 1). Let u = -83 - y. Calculate the remainder when u is divided by 18.
15
Suppose -243 = -3*l - 4*g, 8*l - 13*l = 2*g - 419. Calculate the remainder when 2632 is divided by l.
82
Suppose 16*a + 30 = 174. Let f = 7 + -3. Suppose f*q = q + 9. Calculate the remainder when a is divided by q.
0
Let g(j) = 11*j**3 - j**2 + j - 2. What is the remainder when 449 is divided by g(1)?
8
Suppose 0 = 5*a - 3*t - 22, -2*t - 3*t = 20. Suppose a*v - 12 - 18 = 0. Calculate the remainder when v is divided by -2*18/(-8)*2.
6
Suppose 0 = j - 81 + 52. What is the remainder when 344 is divided by j?
25
Let w be 1*2/(-6)*0. Suppose w = -5*g + 44 - 9. What is the remainder when g/(-1*3/(-6)) is divided by 8?
6
Let r be 1/(-3 + 14/4). Suppose r*v = 3*v - 4. Calculate the remainder when 53 is divided by (-4 - -2)*(v + -18).
25
What is the remainder when (309/6*-2)/((-3)/6) is divided by 13?
11
Let k = -47 - -19. Let j = 96 + k. What is the remainder when j is divided by 9?
5
Let d be (-1)/((-220)/72 - -3). Calculate the remainder when 29 is divided by 2/(-6) + 150/d.
5
Let k(q) = q**3 - 19*q**2 - 13