 d - -47) + -2 + 4 is divided by k(11).
23
Suppose t + 3*d - 12 = 0, -3*t + 0*d - 3*d = -24. Let x = 16 + t. Suppose -9612 = -417*l + 16093 - 685. Calculate the remainder when l is divided by x.
16
Let h = 68 - -62. Suppose -5*q - h = -5*x - 0*q, 4*x = -4*q + 120. What is the remainder when x is divided by 5?
3
Suppose -h = 9*h - 250. Suppose -h = 54*t - 55*t. What is the remainder when t is divided by ((-3)/(-2))/(-5 - 143/(-28))?
11
Suppose 64 = 2*v + 4*t, 0*v = -v - 4*t + 30. Let c(a) = 3*a**3 + 122*a**2 + 1212*a + 1. Calculate the remainder when c(-19) is divided by v.
30
Let a(v) = v**2 - 107*v - 787. Calculate the remainder when ((-88)/12)/((-6)/9) is divided by a(-7).
0
Let r(m) = m**2 + 7*m + 7. Let u be r(-5). Suppose 312*s = 329*s - 221. Calculate the remainder when 139/4 + u/(-12) is divided by s.
9
Suppose 180*l + 71929 = 323*l. Calculate the remainder when l is divided by 498.
5
Let l(r) = -r**3 - 6*r**2 - 13*r - 76. Let d be l(-6). Let q(o) = 4*o**2 + 2*o - 7. Calculate the remainder when 139 is divided by q(d).
9
Let t = 5386 - 2562. Calculate the remainder when t is divided by 20.
4
Suppose 0 = 3*t + 4*y - 12432, 4*t - 16589 = -183*y + 182*y. Calculate the remainder when t is divided by 25.
23
Let q = 10013 - 9858. Calculate the remainder when 1165 is divided by q.
80
Suppose 4*u = 4*t - t - 2823, -t - 1419 = 2*u. Let l = 758 + u. Calculate the remainder when 449 is divided by l.
49
Suppose 0 = -5*d - 0*j - 2*j + 45, 3*d - 5*j = 58. Calculate the remainder when 267730/9142 + 2/14*5 is divided by d.
8
Let n = -886 + 902. What is the remainder when 76 is divided by n?
12
Let f(v) = 23*v + 15. Let r(u) = -11*u - 7. Let m(q) = -3*f(q) - 5*r(q). Let b be (2 + 10)*(4/(-12) + 0). Calculate the remainder when m(b) is divided by 4.
2
Let q = -4996 + 7412. What is the remainder when q is divided by 31?
29
Let q be 2/4*0/(-18). Let m(l) = 4*l**2 + 2*l**3 - 3*l**3 + 37 - 3*l**2 - 2*l. What is the remainder when 147 is divided by m(q)?
36
Let l = 2713 + -2675. Calculate the remainder when 293 is divided by l.
27
Suppose 3*f + 2*k = -18 + 180, -2*f - 4*k + 108 = 0. Suppose 0 = -3*n + o + 972, -2*n + 17*o - 15*o = -652. What is the remainder when n is divided by f?
53
Suppose -5*i = -25, -5*i = 3*m - i - 50. Calculate the remainder when 166 is divided by ((-6)/m)/(27/27)*-20.
10
What is the remainder when (-83220)/(-80) + -7 + (3/(-12) - -2) is divided by 86?
3
Suppose -24*f - 15035 = -3107. Let c = 511 + f. Let i = 37 + 2. What is the remainder when i is divided by c?
11
Let k be (-2)/(5/(-35) + 104/924). Let w = -41 - -52. Calculate the remainder when 124/6*(k/12 + -4) is divided by w.
9
Let a(g) = -2*g. Let h be a(-1). Suppose 4*i - h*i - 104 = 0. Let u = -42 + i. What is the remainder when 33 is divided by u?
3
What is the remainder when (-9 + 97)/11*18405/40 is divided by 11?
7
Suppose d = -5*p + 2*d - 1, -4*d + 4 = 0. Let v(y) = -y - 30. Let c be v(p). What is the remainder when (-20)/c*(-306)/(-4) is divided by 9?
6
Suppose 12*b - 3*b - 360 = 0. What is the remainder when -7 + (-609)/((-9)/3) is divided by b?
36
Let h(n) = -n**2 + n + 8. Let i(y) = y**3 + 16*y**2 + 1098*y + 7374. Calculate the remainder when i(-7) is divided by h(0).
1
Let r(n) = n + 10. Let k be r(-8). Let h be 63/42*(1 - (-2)/6). Suppose 0 = h*x, k*b - b - 5 = 3*x. Calculate the remainder when 13 is divided by b.
3
Let p(v) = -v**3 + 19*v**2 - 54*v + 6. What is the remainder when 497 is divided by p(5)?
67
Let i = 34 + -13. Let y(r) = -2*r - 1. Let w(k) = 24*k - 8. Let m(h) = -w(h) - 10*y(h). Calculate the remainder when i is divided by m(3).
3
Suppose 18*i - 5250 - 1014 = 0. What is the remainder when i is divided by 88?
84
Suppose 291 = -6*p - 345. Let f be (0 + p)*(-7)/14. Let r = f - 45. What is the remainder when 15 is divided by r?
7
Suppose -169*p + 10108 = -7*p + 1360. What is the remainder when 475 is divided by p?
43
Let k be 4*(4 - 19/4). Let y be 115/3 - (-1 + (-4)/k). Let h = y + -13. Calculate the remainder when h is divided by 4.
1
Let z be 10/4 - (-2)/4. Suppose -20*h = 53*h - 657. Suppose 0 = -z*j - 2*v + 194 + h, 4*j + 4*v = 272. What is the remainder when j is divided by 35?
32
Suppose -2*j + 1 = -7. Suppose -j*p + 0*s - s = -168, 0 = 5*p - 3*s - 210. What is the remainder when ((-6)/(-4))/(p/1400) is divided by 19?
12
Suppose -5*r + 3*p = -4*r - 15, -4*r = 5*p + 8. Suppose -13*d + 1820 = -r*d. What is the remainder when (-3)/(d/94 + -2) - -2 is divided by 9?
4
Suppose -8*o - 1 = -1. Suppose c - 2 = o, -3*c - 128 = 5*m - 34. Calculate the remainder when 1/(5/m)*-4 is divided by 5.
1
Suppose 52*h - 15 = 55*h + 2*p, -2*h - 5*p = 21. Calculate the remainder when 69 is divided by (h/2)/((-42)/392).
13
Suppose 2001*m = y + 2000*m - 62, 2*y = 5*m + 130. What is the remainder when y is divided by 25?
10
Suppose 70*o = 26*o + 704. Let h(r) = r - 2. Let q be h(7). Let k(p) = 2*p**2 - p + 1. What is the remainder when k(q) is divided by o?
14
Let o be (3772/12)/((-3)/(-9)). Suppose -23*x + 26*x = -6, 3*t = -4*x + o. What is the remainder when t is divided by 81?
74
Let p(v) = 27*v - 132. Let k be p(5). Suppose 5*s - 2*s + 10 = n, 3 = -k*s. What is the remainder when 31 is divided by n?
3
Let x(y) = y + 1. Let a be x(0). Let z = a + 5. Let g = 6501 + -6478. What is the remainder when g is divided by z?
5
Let s = 91 + -61. Suppose 0*a - a + 2*r + s = 0, r - 15 = -a. Suppose 5*z - 14 = -4*b, 3*z - 2 = -6*b + 2*b. Calculate the remainder when a is divided by z.
2
Let v = -4654 + 4717. What is the remainder when v is divided by 23?
17
Let f(p) = 9*p + 2. Let b = 70041 + -70030. What is the remainder when f(8) is divided by b?
8
Suppose 2*f - 8 + 2 = 0. Let r = 67 - 54. Let b = 29 - r. What is the remainder when b is divided by f?
1
Let n = 4551 + -3412. What is the remainder when n is divided by 20?
19
Suppose 5*b = 2*g - 517 + 1295, -g + 612 = 4*b. Suppose -10*s = -5*n - 15*s + 175, -s - 160 = -4*n. Calculate the remainder when b is divided by n.
37
Suppose 5*q - 2*i - 1341 = 0, 0 = 54*i - 50*i - 8. What is the remainder when q is divided by 10?
9
Suppose -3421 = -31*c - 1282. Calculate the remainder when 4138 is divided by c.
67
What is the remainder when 520 is divided by (-50)/10 - ((3 - 56) + -5)?
43
Let q be (10/4)/((-6)/108). Let v = q - -50. Suppose j - 3*j + 5*l + 29 = 0, v = -j - 4*l. What is the remainder when 46 is divided by j?
4
Suppose -2*u = 2*b - 342, u + 8*b - 10*b = 183. Let i = u + -164. What is the remainder when 26 is divided by i?
4
Let g = 3882 - 3390. What is the remainder when g is divided by 470?
22
Suppose 4*a - i - 60 = 0, 2*i = 3*a - 3 - 42. Let j be 1*(96 + 1 - -2). Let u = 142 - j. Calculate the remainder when u is divided by a.
13
Suppose 14 = 11*x + 14. Suppose -2*p + w + 75 = x, -w - 207 = -5*p - 5*w. Let o(u) = -6*u + 1. What is the remainder when p is divided by o(-1)?
4
Let q(l) = 6*l**2 + 3*l**2 - 2 - 2 + 8*l + l**3. Suppose -10 + 6 = 6*b + 38. Calculate the remainder when q(b) is divided by 6.
2
Let d(i) = i**3 + 10*i**2 + 17*i - 24. Let z be d(-7). Suppose 0 = -4*l - 10*u + 9*u + 488, 5*l - 631 = z*u. Calculate the remainder when l is divided by 7.
4
Let q = -2653 - -3099. What is the remainder when q is divided by 45?
41
Let t = 714 - 714. Suppose t = -a - 4*z - 5 + 26, 0 = 2*a + z - 21. What is the remainder when 78 is divided by a?
6
Suppose -4*z + 4*l = -108, z = 2*z + 5*l - 3. Let o(m) = -m**2 + 8*m + 1. Let t be ((-7)/3)/((-1)/3). What is the remainder when z is divided by o(t)?
7
Suppose -5*x = -t - 11, 12 = -4*t + 4*x - 0. Let n = 16 - t. Suppose 250*m + 578 = 17328. What is the remainder when m is divided by n?
16
Suppose -2472 = -32*m - 392. Suppose 2207 = 2*c + 649. Calculate the remainder when c is divided by m.
64
Suppose z - 37 = -u, 0*u - 29 = -z + 3*u. Let a = 385 + -264. Suppose -c = -5*i - 129, 3*c = -5*i - a + 408. Calculate the remainder when c is divided by z.
34
Let x = 3 + -3. Suppose x = 4*n + 23 - 115. Calculate the remainder when n is divided by 24/20*(-48)/(-32)*20/3.
11
Let i = -68 + 71. Suppose -4*w + i*f + 216 = -w, -3*f + 204 = 3*w. What is the remainder when w is divided by 48?
22
Suppose 0 = -8*c + 9*c - 11. Let t = -63 + 158. Calculate the remainder when t is divided by c.
7
What is t