Let d = m + -30. Calculate the remainder when 43 is divided by d.
20
Let t = -79 + 64. What is the remainder when 109 is divided by ((-25)/t - 1)*84/2?
25
Suppose 0 = 18*t - 11*t - 189. What is the remainder when 96 is divided by t?
15
Suppose 0 = -72*n + 73*n + 4*j - 105, 4*j + 210 = 2*n. Calculate the remainder when n is divided by 35.
0
Suppose -4*o = 4*f - 44, -2*o = -f - f + 22. Calculate the remainder when 18 is divided by f.
7
Suppose 0 = -3*g + 9 - 3. Let v(u) = -3*u**2 - 2*u + 2. Let y be v(g). Calculate the remainder when 12 is divided by y*(-1)/8*4.
5
Let k = -1 + 4. Suppose -4*h + 2*q + 28 = 0, k*h - 2*q = -0*h + 19. Calculate the remainder when 22 is divided by (h/5)/((-9)/(-60)).
10
Suppose -4*f - 77*f + 1944 = 0. Suppose -5*u + 175 = 2*k, 6*k = k - 2*u + 469. Calculate the remainder when k is divided by f.
23
Let q = 82 - 20. What is the remainder when 680 is divided by q?
60
Let t(g) = -g**2 + 7*g + 3. Let k(q) = 70 - q**2 - 70 - 2*q - 4*q**3. What is the remainder when t(6) is divided by k(-1)?
4
Let b(j) = 7*j + 69. What is the remainder when 440 is divided by b(-8)?
11
Suppose -10 = 2*j - j + 3*p, 0 = -p - 4. Suppose 0 = 5*y - j*y + 21. Calculate the remainder when (0 + 1 + y)/(-1) is divided by 2.
0
Suppose -2*z - 10 = 3*z, 3*g - 7 = -z. Suppose -65 = -g*l - 11. What is the remainder when 70 is divided by l?
16
Suppose -54*k + 55*k - 49 = -3*x, x - 19 = -k. Calculate the remainder when 57 is divided by x.
12
Suppose p = 2*p - 50. Let z be (p/6)/(1/6). Suppose -4*b + 76 = -4*l, 0 = 2*b - l + 16 - z. Calculate the remainder when 58 is divided by b.
13
Let t be (-7)/7 + (-1 - 25). Let l = -24 - t. Suppose -2*m = m - 12, -w + l*m = -14. What is the remainder when 75 is divided by w?
23
Suppose -6*n + n + 3*s = -23, 0 = -5*n - 2*s + 18. Suppose n*l + l = -45. Calculate the remainder when (l/3)/(-3) + 42 is divided by 15.
13
Suppose -6*u = -2*u + 2*z + 8, 0 = 3*u - 3*z - 12. Suppose u*i - 6 = -i. Calculate the remainder when 27 is divided by i.
3
Let r(q) = -6*q**2 + q - 2. Let t(f) = 5*f**2 - 2*f + 2. Let y(w) = 4*r(w) + 5*t(w). Calculate the remainder when 7 is divided by y(6).
1
Let p(b) = 6*b + 2. Let x be p(5). Suppose 3*a + a - x = 0. Suppose 4*i + 16 = 5*f - 58, -3*f = 2*i - 40. What is the remainder when f is divided by a?
6
Suppose -4*c + 38 + 6 = 0. Suppose 11 = -i + 4*d, d = 3*i + 4*d - 12. Calculate the remainder when c is divided by (i + (-39)/15)/((-2)/5).
3
Let i(p) = 30*p - 32. What is the remainder when 134 is divided by i(2)?
22
Let c be 304/5 - 12/15. Suppose 0 = 3*p - c - 102. Suppose 2*x - 5 - 23 = 0. Calculate the remainder when p is divided by x.
12
Suppose 5*n + 0*y = -2*y + 223, 2*n = 5*y + 95. Let v = 2 + 2. Suppose 8*i + 8 = 2*z + v*i, -3*i = -z. What is the remainder when n is divided by z?
9
Suppose 29 = 5*t - 86. Suppose -4*v = -3*v + 9. Calculate the remainder when t is divided by (-34)/(-6) + (-3)/v.
5
Calculate the remainder when (-49)/7 - -6 - (0 - 83) is divided by 14.
12
Suppose 735 = 151*g - 116*g. Calculate the remainder when 712 is divided by g.
19
Suppose -3*t + 117 = 5*i, -i + 19 = t - 4. Let u = -21 + i. Suppose -3*q - c + 39 = -q, u*q - 71 = c. Calculate the remainder when 87 is divided by q.
21
Suppose a + 5*w - 27 = 0, -2*a + 23 = 2*w - 39. Calculate the remainder when 155 is divided by a.
27
Let f(t) = 14*t**3 - 3*t**2 + 28*t - 2. Calculate the remainder when f(4) is divided by 40.
38
Let m = 2329 + -2110. Calculate the remainder when m is divided by (-10)/(-4)*14 + 2.
34
Suppose 8*w - 247 = -5*y + 489, -4*y - 92 = -w. What is the remainder when w is divided by 49?
43
Let z(m) = 9*m + 4. Let l be z(-2). Let x = 21 + l. Let f(r) = 2*r**2 - 2*r + 5. What is the remainder when f(x) is divided by 23?
20
Let r(a) = -a**3 - a**2 + 18. Let i be r(-8). Suppose -9*b + i = -227. Calculate the remainder when b is divided by 10.
7
Suppose 0 = p, v - 549 = -0*v - 3*p. What is the remainder when v is divided by 10?
9
Suppose -4*n + 448 = -2*q, -4*q = -3*n + 214 + 127. What is the remainder when n is divided by 18?
3
Let s = 16 + -4. What is the remainder when 288/s - (1 - 5) is divided by 6?
4
Let p(x) = -48*x - 869. What is the remainder when p(-24) is divided by 74?
61
Let t(d) = -d - 6. What is the remainder when 6 is divided by t(-8)?
0
Let m = -697 + 735. Calculate the remainder when 70 is divided by m.
32
Let y = -2 + 16. Let k be ((-9)/(-6))/((-6)/(-88)). Suppose -5*g = -k - 23. Calculate the remainder when y is divided by g.
5
Let r = -4 + 6. Let w(a) = a**3 - 3*a**2 + 4*a - 14. Let n be w(3). What is the remainder when 23 is divided by n*(39/r)/(-3)?
10
Suppose -x = -3*h + x - 302, -530 = 5*h + 2*x. Let q = h - -65. What is the remainder when -1 - 2 - (q + 3) is divided by 18?
15
Let p = 57 - 55. Calculate the remainder when 13 is divided by p.
1
Let x(o) = -o**3 + 9*o**2 - 10*o - 7. What is the remainder when x(7) is divided by 12?
9
Suppose -2*g = -2*v - 7*g + 13, -g = -1. Calculate the remainder when 17 is divided by (v/(-6))/(16/(-72)).
2
Suppose -t = r - 3, 0 = 6*t - 2*t - 4*r - 52. Calculate the remainder when (-297)/(-22) - (5/2 + -2) is divided by t.
5
Let t(u) = u**3 + 6*u**2 + 3*u + 1. Let o = -91 + 93. Calculate the remainder when t(-2) is divided by o.
1
Let i(g) = 2*g**2 + 35*g + 50. Calculate the remainder when i(-20) is divided by 6.
0
Let s(m) = -22*m - 100. Calculate the remainder when 15 is divided by s(-5).
5
Let k = 48 - 29. Suppose 86*g - 1258 = 5106. What is the remainder when g is divided by k?
17
Suppose -3*u = -15 - 3. Let p = -9 + u. Calculate the remainder when 37 is divided by ((-26)/p)/((-2)/(-3)).
11
Suppose -4*p = 12, 0 = -0*q - 2*q + p + 11. Suppose 5*l = -2*g + 65, -q*g + 3*g = 2*l - 27. What is the remainder when 36 is divided by l?
3
Suppose 0 = 2*d - 5 - 15. What is the remainder when (-3)/15 - 282/60*-6 is divided by d?
8
Calculate the remainder when 184/(-16)*(-32 - -4) is divided by 12.
10
Let c(b) = b - 3. Let h be c(8). Suppose -j = -h*j + 64. Suppose 5*m - 7 = 7*k - 4*k, 0 = 4*k - 4*m - 4. Calculate the remainder when j is divided by k.
4
Let s be 231/55 + (-1)/5. Suppose 3*q - 24 = 3*h + 18, q = -h + s. Calculate the remainder when q is divided by 5.
4
Suppose 28 = x - a + 9, 0 = -3*a + 15. What is the remainder when 93 is divided by x?
21
Let o = -1101 - -1186. Calculate the remainder when o is divided by 12.
1
Let v(b) = 4 - 10 - b - 4*b - 8. What is the remainder when v(-6) is divided by 9?
7
Calculate the remainder when 98 is divided by (100/18)/(18/162).
48
Let a be (6 + -1)*(-657)/(-90)*2. Suppose 80 = 9*v - a. Calculate the remainder when v is divided by 3.
2
Suppose 4*f + 9*f - 156 = 0. What is the remainder when 46 is divided by f?
10
Let l(z) = 8*z - 11. Let p(t) = t**2 + t - 3. Let w be p(2). What is the remainder when (27 - (0 + 2)) + -2 is divided by l(w)?
10
Suppose -q = -2*h + 8, -q - h = 3*q - 13. Let l(u) = u**3 - 44. Let s be l(0). What is the remainder when 20 is divided by (s/8*q)/(-1)?
9
Let r(o) = 3*o - 3. Let d be r(5). Let m = d - 10. Suppose 0 = m*y + 5*l - 41, -4*y - 3*l + 74 = y. What is the remainder when 37 is divided by y?
11
Let f(o) = 3*o + 1. Let s be f(16). Let j(l) = 5*l - 7. What is the remainder when 2611/s - (-2 + 32/14) is divided by j(5)?
17
Let s be (-15)/(-9) - 2 - 322/(-21). Let a = s - -38. Calculate the remainder when a is divided by 18.
17
Suppose -118 = -5*q - 3*d, 5*q - 111 = -0*q + 4*d. Let n = -7 - -20. Calculate the remainder when q is divided by n.
10
Let j = -12 - -21. Let h(g) = -2*g - 3. Let l(o) = 2*o + 8. Let c be l(-11). What is the remainder when h(c) is divided by j?
7
Let t be 0/(2 - 7) + 4. Suppose -t*g + 57 = -5*k, g - 15 = -4*k + 5*k. Calculate the remainder when 88 is divided by g.
16
Let z(r) = 7*r**2 - 2*r - 1. Let h be z(-1). Let c = -4 + h. What is the remainder when -22*36/1386 + (-162)/(-14) is divided by c?
3
Suppose 4*y - 11 = -i + 4, 2*y - 3 = -5*i. What is the remainder when 48 is divided by y?
0
Suppose -380 = -d - 3*d. Let r = d - 92. Calculate the remainder when 34 is divided by r.
1
Let i = -105 + 150. Suppose 0 = -l - 5*c + 35, 0*c - i = -4*l - c. Let m(p) = p**2 - 2*p + 1. Calculate the remainder when m(-6) is divided by l.
9
What is the remainder when 90 is divi