*h - 10*k = -14*k - 20, 5*h + 17 = -k. Calculate the remainder when (508/8 + h)/((-2)/(-12)) is divided by 61.
58
Suppose 0 = -w + 5, -425*d + 3*w - 31 = -429*d. Calculate the remainder when 708 is divided by d.
0
Suppose 0 = -704*m + 711*m - 21. Suppose m*f - 915 = -678. Calculate the remainder when f is divided by 27.
25
Let o = -73 + 175. Calculate the remainder when o is divided by (-2 + 3/12)*-20.
32
Let i(y) = -6*y + 68. Let l be i(14). What is the remainder when 415 is divided by -40*(l/30)/4*6?
31
Let p = -7 + 12. Let u(a) = 2*a + 7. Let z be u(-7). Let s(m) = -4*m - 8. Calculate the remainder when s(z) is divided by p.
0
Suppose 400 = -0*y + 16*y. What is the remainder when (7/((-112)/(-44)))/((-1)/(-32)) is divided by y?
13
Let t be ((-8)/(-3))/(12/(-9) + 2). Suppose t*s = -2*u + 6*s + 26, 2*u + s = 32. Calculate the remainder when 31 is divided by u.
1
Suppose -35*j + 6*j + 482*j - 145413 = 0. What is the remainder when 951 is divided by j?
309
Suppose -9*h + 5*h + 4*i = -3176, 3*h - 4*i - 2384 = 0. What is the remainder when h is divided by 114?
108
Suppose -2*x - 150 = 2*k, -3*x + 345 = -5*k + 2*x. Suppose 7*u - 586 - 624 = -370. Let y = k + u. What is the remainder when y is divided by 17?
14
Suppose 35 - 11 = -4*h. Let t(l) = -2*l**2 - 12*l + 5. What is the remainder when 25 is divided by t(h)?
0
Suppose 541*g + 4*f - 626 = 540*g, 4*g - 2449 = -5*f. What is the remainder when g is divided by 103?
91
Let l(f) = -11*f - 39. Suppose 0 = -12*p + 9*p + 708. Calculate the remainder when p is divided by l(-9).
56
Suppose 2*u = -22*u + 864. Suppose u*w + 1885 - 4873 = 0. What is the remainder when w is divided by (11 + 6)/(0 - -1)?
15
Suppose -5*w + 5939 = 5*z - 15411, w - 17092 = -4*z. Calculate the remainder when z is divided by 57.
56
Suppose 6 - 14 = -8*b. Let l be b/(-4) - (-125)/20. Suppose -68 = l*t - 10*t. Calculate the remainder when 65 is divided by t.
14
Let c = -5 + 9. Suppose -5*n = -2*k + 43 - 7, -k = n - 11. Calculate the remainder when k is divided by (10/(-3))/(c/(-6)).
3
Let f = 148142 - 148115. Let d(r) = 4*r - 7. Let z(i) = -2*i + 4. Let c(v) = 6*d(v) + 10*z(v). Calculate the remainder when f is divided by c(3).
7
Suppose 13*o - 18*o = -2*q - 7, 0 = o - 5. Calculate the remainder when 66 is divided by q.
3
Let c be 2/21 - 1920/315. Let t(b) = 3*b**2 + 21*b + 65. Calculate the remainder when t(c) is divided by 6.
5
Let q(y) = -16 - 3 + 14*y - 1 + 6. Calculate the remainder when 36 is divided by q(2).
8
Let g(b) = -38*b + 16. Suppose -8*l + 28 = -22*l. What is the remainder when g(l) is divided by 20?
12
Let j = -1982 + 2237. Calculate the remainder when j is divided by 64.
63
Let g = 6596 - 6575. Let n be -4*((-9)/(-4) + 1). Let l = -7 - n. Calculate the remainder when g is divided by l.
3
Let n(m) = 5*m + 4. Let z be n(2). Suppose z = -4*a + 34. Suppose -a*b = -b - 80. Calculate the remainder when 56 is divided by b.
16
What is the remainder when 261 is divided by 2/(-7) - (136/68)/(14/(-786))?
37
Suppose -41*k + 1639 = 286. What is the remainder when 163 is divided by k?
31
Suppose 4*d - 2*b - 62 = 0, -d + 38 = 3*b + b. Suppose 3*i + 73 = 283. Calculate the remainder when i is divided by d.
16
Let k(y) = y**3 - 50*y - 6*y**2 - 1 + 16*y + 21*y. Calculate the remainder when 343 is divided by k(8).
21
Calculate the remainder when -47 + 368 - 5/1 is divided by 108.
100
Let c(s) = -s**3 + s**2 + 2*s + 1. Let a be c(-1). Calculate the remainder when 137 is divided by (-8)/(a/(-18)*3).
41
Let q be 4/34 + (-38790)/255. Let l = q - -209. Calculate the remainder when l is divided by 17.
6
Let o(u) = -13*u**3 + 4*u**2 - 63*u - 250. Calculate the remainder when o(-4) is divided by 150.
148
Let o(j) = -2*j**3 - 7*j**2 - 9*j + 5. Let t(g) = -g**3 - 3*g**2 - 4*g + 2. Let w(m) = 4*o(m) - 9*t(m). What is the remainder when 2 is divided by w(0)?
0
Let d be 9/(3*(-1)/3). Let k = 14 + d. Calculate the remainder when 53 is divided by 6/k*135/18.
8
Let j(o) = -2*o + 11 + 4*o - o + 2. Let t be j(-5). What is the remainder when (-12)/t + 182/4 is divided by 17?
10
Let w = -2648 + 3606. What is the remainder when w is divided by 30?
28
Suppose -43*r + 40*r - 5*v = -55032, 5*v = -2*r + 36673. What is the remainder when r is divided by 7?
5
Let b = -2170 + 2997. What is the remainder when b is divided by 76?
67
Let r(s) = 657*s + 2303. What is the remainder when r(3) is divided by 15?
14
Suppose -2*n = -n + 2*p + 5, 4*n - 6 = 5*p. Calculate the remainder when 225/18 + n/2 is divided by 8.
4
Let u(k) = 8*k**2 - 8*k - 20. What is the remainder when 59 is divided by u(-2)?
3
Suppose -208*u - 1060 = -10004. Suppose m - 273 = -5*y - 0*y, 2*y - 1002 = -4*m. What is the remainder when m is divided by u?
33
Let l(m) = 4*m**3 + 2*m - 1. What is the remainder when (-12)/216 + 7276/72 is divided by l(1)?
1
Let h(t) = t**3 - 5*t**2 - 7*t + 9. Let c be h(6). Suppose -c*u = u - 28. Let k = -72044 + 72090. What is the remainder when k is divided by u?
4
Suppose -5*l + 7634 = -3*m, -197*l + 194*l + 4598 = -4*m. What is the remainder when l is divided by 305?
302
Let i be 3*(6 + -4)*4/6. Suppose 2*r + 1 = -2*w + 129, -2*r - i*w = -138. Calculate the remainder when r is divided by 12.
11
Suppose -13*r - 19869 = -5998. Let k = -821 - r. What is the remainder when k is divided by 51?
42
Let x = 8 - 2. Let y = -108 + 110. Suppose y*t = -3*f + 43, 14 = 5*f + 9. What is the remainder when t is divided by x?
2
Suppose -310 = c - 6*c. Suppose 0 = -65*t + c*t + 708. Calculate the remainder when t is divided by 17.
15
Suppose 4*m = 358 - 6. Suppose 0 = -4*h + 5*v + 158, -3*v - 59 - 203 = -10*h. Calculate the remainder when m is divided by h.
0
Let z be 57060/(-198) - 4/(-22). Let g = z - -429. What is the remainder when g is divided by 12?
9
Let z be (-60)/5*14/(-4). Let n = 37 - z. Let m(q) = -3*q - 4. Calculate the remainder when 18 is divided by m(n).
7
Let l(a) = 2*a + 11. Let y be l(-7). Let s(q) = q**2 - 9*q - 44. Let r be s(13). Let h = r - y. Calculate the remainder when 42 is divided by h.
9
Let o(t) be the third derivative of -t**4/4 + 77*t**3/6 - 16*t**2. Calculate the remainder when 65 is divided by o(9).
19
Let m(c) = -2*c**2 - 20*c - 8. Let u = -13 + 3. Let b be m(u). Calculate the remainder when 31 is divided by ((2 + 0)/1)/(b/(-28)).
3
Let o(u) = -42*u + 253. What is the remainder when 347 is divided by o(6)?
0
Suppose 4*u = -0*c - 4*c + 48, u + 5*c = 8. Suppose u = -4*o + 5*o. Suppose -1 + 7 = -3*a, -b - 5*a + 53 = 0. Calculate the remainder when b is divided by o.
11
Let q = 16 + -11. Suppose q*j - 2*n = -5*n + 54, 2*j - 26 = n. What is the remainder when (17 - 18)*(2 + 0) + 109 is divided by j?
11
Suppose 0 = -7*d + 4*d + 4*w + 413, -w = -5*d + 660. Suppose 4*b + 10*z = 8*z + 250, 3*z - d = -2*b. What is the remainder when 303 is divided by b?
59
Let v(m) = 10*m - 2. Suppose -7*d + 152 = -2*d + 4*u, 4*d + 7*u - 133 = 0. Calculate the remainder when d is divided by v(2).
10
Let g = 172 - 212. Calculate the remainder when 37 is divided by 5*-18*4/g.
1
Suppose -10*m - 26 = -2*a - 6*m, -5*a = m - 120. What is the remainder when 301 is divided by a?
2
Suppose -o + 26 = 101. Let s be (-184)/(-1)*(-2)/(-4). Let x = s + o. Calculate the remainder when 66 is divided by x.
15
Let i = 1 + 6. Let n(y) = -6*y**2 - 8*y - 8. Let j(o) = -7*o**2 - 9*o - 9. Let s(t) = 4*j(t) - 5*n(t). Calculate the remainder when i is divided by s(-1).
1
Let m be -3*2/21 - (-4818)/154. Suppose 2*g + 46 = 2*c, -2*c - 2*g = -g - m. What is the remainder when c is divided by (10 - -1) + -24 + 20?
4
Suppose -5*f + 3*n = -0*n + 74, 4*f + 5*n = -74. Let g be 0 - 4/(f/220). Calculate the remainder when 4048/g - (-2)/5 is divided by 19.
17
Suppose 0 = -3*v - 90 + 243. Suppose 0 = -15*d + 14*d - 1, r - 5*d = v. Calculate the remainder when r is divided by 13.
7
Let l(i) = -15*i. Let y be l(1). Suppose -2847*m = -2833*m - 98. Calculate the remainder when ((-30)/(-8))/(y/(-100)) is divided by m.
4
Suppose 8*f - 3*f + 280 = 5*b, 0 = -5*b + 3*f + 276. Let q(h) = -2*h**3 - 5*h**2 - 6*h + 1. What is the remainder when b is divided by q(-3)?
26
Let t = -34 - -53. Suppose 4*r + c - 48 = 15, 0 = -r - 3*c + 2. Calculate the remainder when t is divided by r.
2
Let b(t) = -t**2 - 17*t - 52. Calculate