the remainder when m is divided by 3.
2
Let u be ((-8)/10)/(7/(-1575)). Suppose -v - u = -3*v. What is the remainder when 27 is divided by (-2)/5 - (-756)/v?
3
Suppose -2*p - 10*p = -396. What is the remainder when 124 is divided by p?
25
Suppose 57 = 2*y + 15. Suppose -24 - y = -3*z. Calculate the remainder when (12/z)/((-2)/(-105)) is divided by 9.
6
Suppose 1 - 25 = 4*v. Let a(u) = -u**2 - 6*u + 10. Calculate the remainder when 27 is divided by a(v).
7
Suppose -5*q = 4*i - 2, i - 4*q - 23 = -4*i. Suppose t + 2*j - 136 = -t, 0 = 4*t - i*j - 307. Calculate the remainder when t is divided by 37.
36
Suppose 0 = 6*q + 354 - 2448. Calculate the remainder when q is divided by 27.
25
Let d = 211 - 122. Calculate the remainder when d is divided by 13.
11
Suppose -l = -4*b + 399, 736 - 232 = 5*b + 4*l. Calculate the remainder when b is divided by 7.
2
Calculate the remainder when 194 is divided by -21*(-12 - -4 - -5).
5
Suppose 8*p - 243 = 933. What is the remainder when p is divided by 30?
27
What is the remainder when (-4)/((-176)/8396) + 2/11 is divided by 14?
9
Suppose -3*g - 6 = 0, 3*y - 2*y = g + 45. Calculate the remainder when 300 is divided by y.
42
Suppose 6 = 4*h + 10. Let o(c) be the first derivative of 5*c**3 - 3. What is the remainder when 42 is divided by o(h)?
12
Let f(m) be the third derivative of 2*m**2 + 0*m + 1/12*m**4 + 0 + 4/3*m**3. Calculate the remainder when 95 is divided by f(8).
23
Let p(f) = -7*f + 139. Calculate the remainder when p(3) is divided by 31.
25
Let q(t) = 34*t - 1. Let x(z) = 51*z - 2. Let p(c) = -8*q(c) + 5*x(c). Let g be p(-1). Suppose -2*h + g = h. What is the remainder when h is divided by 2?
1
Calculate the remainder when 32 is divided by 43/(-258) + (2163/18)/7.
15
Let d = -186 + 441. What is the remainder when d is divided by 32?
31
Suppose 8 = 2*j - 420. What is the remainder when j is divided by 109?
105
Suppose 5*q + 53 = -32. Let u = q - -39. What is the remainder when 86 is divided by u?
20
Suppose 24*u = 19*u + 450. Calculate the remainder when u is divided by 28.
6
Let x be ((-18)/(-4))/(4*7/(-1848)). Let c = -176 - x. Calculate the remainder when c is divided by 31.
28
Let r be (2 - 2)/2 + 5. What is the remainder when 30 is divided by (4/r)/((-13)/(-130))?
6
Suppose 5*k = -15, -5*p = 3*k - 16 - 15. Calculate the remainder when 93 is divided by p.
5
Let a(d) = d**2 - 2*d + 11. Let c be a(7). Let w = c - 42. What is the remainder when 14 is divided by w?
2
Suppose 441 = 5*a + 2*f, -f + 180 = 2*a + f. Let z = 6 + a. Calculate the remainder when z is divided by 24.
21
Let b be (0 - 0) + (3 - 5). Let f = b + 6. Suppose -4*m - f*l = -3*l - 73, 91 = 4*m - 5*l. Calculate the remainder when 55 is divided by m.
17
Suppose -8*r + 168 = -2*r. Suppose -4*p = -2*p - r. Calculate the remainder when 68 is divided by p.
12
Let l be ((-156)/(-91))/((-2)/(-28)). Suppose 3*c + l = 5*h - 67, 4*c + 25 = h. Let y = h - 7. What is the remainder when 17 is divided by y?
7
Let w(v) = 7*v - 139. What is the remainder when 87 is divided by w(22)?
12
Let n be 3*(-1 + (-5)/(-3)). Suppose -2*s + 0*s - 4 = -3*u, 0 = -n*u + s + 4. Calculate the remainder when 13 is divided by (-87)/(-12) + u/(-16).
6
Let a(u) = -u**3 + 9*u**2 - 11*u + 19. Suppose 4*x - d - 27 = 0, x - 12 = -5*d - 0*d. Calculate the remainder when a(7) is divided by x.
5
Let v be 1/(-3 + 8/2). Let n be (-115)/(-15) + v/3. What is the remainder when 142 is divided by (7 - n)*1*-29?
26
Suppose -2*p - 59 = -163. What is the remainder when 195 is divided by p?
39
What is the remainder when ((-24)/(-30) - 0)*(-5175)/(-18) is divided by 58?
56
Suppose -3*s + w + 17 = 0, 3*s + 6 = -5*w - 7. Let o(d) = 2 + 0 - 3*d + 2 - 1. Calculate the remainder when o(-2) is divided by s.
1
Let u(v) = 5*v + 11. Let g be 1 - (3/3 - -3). Calculate the remainder when (4/g)/((-5)/120) is divided by u(0).
10
Let w(z) = 3*z - 13. Suppose 7*j - 3*j = 24. What is the remainder when 9 is divided by w(j)?
4
Calculate the remainder when ((-18)/(-12) - -7)*4 is divided by 9.
7
Suppose -4*r = -5*r + 55. Let a(w) = 7*w**2 + w - 2. What is the remainder when r is divided by a(2)?
27
What is the remainder when (-1869)/(-6) - (-7)/14 is divided by 86?
54
Let w(t) = -t + 2. Let f be w(0). Suppose 2*u - 5*y + 15 = -1, 2*y = -4. Let c = f - u. What is the remainder when 42 is divided by c?
12
Calculate the remainder when 165 is divided by (-442)/(-51)*3/2.
9
Let w = -50 - -121. What is the remainder when 354 is divided by w?
70
Calculate the remainder when (-14 + 5)*1 + 206 is divided by 38.
7
Let b = -4 - -18. Suppose 0 = 2*s + b - 58. Let v = -33 + 75. What is the remainder when v is divided by s?
20
Suppose -5*u - 39 = -2*f, 2*u = 4*u + 2. Let a(w) = -w**3 + 22*w**2 + 5*w - 50. Calculate the remainder when a(22) is divided by f.
9
What is the remainder when (-5*(6 - 3))/((-6)/20) is divided by 9?
5
Suppose 0 = -38*n - 28*n + 9042. What is the remainder when n is divided by 69?
68
Suppose y - 19 = -2*y - 4*a, 0 = -2*y - 4*a + 14. Suppose 0 = f - y. Suppose -4*u = -f - 23. Calculate the remainder when 25 is divided by u.
4
Let o(d) = 4*d**2 - 47*d + 19. What is the remainder when 670 is divided by o(13)?
82
Let c(g) = 3*g**3 + 49*g**2 - 7*g + 48. What is the remainder when c(-16) is divided by 35?
31
Suppose 4*s - 68 = -3*i, -9*i = -6*i - 4*s - 100. Calculate the remainder when 46 is divided by i.
18
Suppose 5*o = -3*s + 1777, -2*s - s + 5*o + 1817 = 0. What is the remainder when s is divided by 30?
29
Let x(r) = 2*r**3 + 21*r**2 - 16*r + 2. Suppose -2*s + 7*s - 55 = -2*k, -2*k + 20 = -2*s. What is the remainder when x(-11) is divided by k?
12
Let r(k) = -k - k + k + 2*k - 1. Let w be r(0). Calculate the remainder when 10/(-20)*(w - 165) is divided by 28.
27
Suppose -2*v = t - 50, -5*t + t = -2*v - 160. What is the remainder when t is divided by (-4)/10*4615/(-142)?
3
Let d = 20 + -30. Let j = d + 11. Calculate the remainder when (-2 - 0) + j + 27 is divided by 7.
5
Let y(j) = 5*j - 134. Calculate the remainder when 45 is divided by y(30).
13
Let u(a) = -3*a**3 - 10*a**2 + 7*a + 6. Calculate the remainder when 316 is divided by u(-5).
28
Let w = -1301 - -1331. Calculate the remainder when 44 is divided by w.
14
Let a(d) = -27*d + 452. What is the remainder when 659 is divided by a(16)?
19
Suppose 0 = -62*u + 77*u - 345. What is the remainder when 44 is divided by u?
21
Suppose 3*b + 92 = t - 195, 6*b = -2*t + 610. Calculate the remainder when t is divided by 33.
32
Suppose -8*h - 7*h = -330. What is the remainder when 83 is divided by h?
17
Suppose -4*n - 304 = -20*n. What is the remainder when n is divided by 15?
4
Suppose -5*f - 4*n = -55, 7 = f + 2*n - 4. Let q(v) = 3*v - 24. Calculate the remainder when 42 is divided by q(f).
6
Suppose 5*o = 4*a - 304, -a - 4*o + 4 = -51. Calculate the remainder when a is divided by 27.
17
Let n = -17 + 18. Let h = n - -29. Let x = h - 17. Calculate the remainder when 38 is divided by x.
12
Let s = -567 - -586. Calculate the remainder when 34 is divided by s.
15
Let d(p) = 21*p + 257. Let q(j) = -41*j + 4. Calculate the remainder when q(-3) is divided by d(-11).
23
Suppose -4*b + 14*q = 10*q - 432, 4*b - 414 = -5*q. What is the remainder when 111 is divided by b?
5
Let f(m) = m**3 - 2*m**2 + m + 27. Let q = -17 - -31. What is the remainder when f(0) is divided by q?
13
Let o be 2/4*(-5 + 3). Let c be ((-15 + o)/4)/(-1). Let b = c + 8. What is the remainder when 33 is divided by b?
9
Calculate the remainder when 339 is divided by 7881/407 - 8/22.
16
Suppose -o - j = -14 + 4, 25 = 5*j. Suppose -o*k + 39 = 9. Calculate the remainder when k is divided by 3.
0
Let l(t) = -6*t + 3. Let u be (1220/25)/(6/45). What is the remainder when (-12)/78 + u/13 is divided by l(-2)?
13
Let q(k) = 4*k + 4. Let t be q(0). Let h(c) = c**2 - c + 6. What is the remainder when 65 is divided by h(t)?
11
Suppose 7 = k + 2*l, -5*l + 28 = 4*k - 2*l. Let r be ((-6)/(-7))/(((-12)/(-28))/(-3)). Calculate the remainder when r/(21/6 - 4) is divided by k.
5
Let f(l) = -2*l - 7 + 0*l**2 + 7*l + l**2 - 2*l. Let s be f(-4). Calculate the remainder when 1*s - (6 + -38) is divided by 10.
9
Suppose 0 = -4*o + 3*o - 6. What is the remainder when 187 is divided by (123/o + -3)/((-2)/4)?
46
Let i(x) = 