 remainder when 66 is divided by b.
14
Let u be (-26)/(-36)*3 - (-1)/(-6). Suppose 2*q + 28 = 4*f, -f + 2*q + 19 = u*f. Calculate the remainder when 17 is divided by f.
8
Suppose 4*g + 3*q = -q + 36, -3*g + 21 = q. Let k(b) = 5*b**2 + b + 6*b - 14*b + g*b. Calculate the remainder when k(-2) is divided by 5.
2
Let s(k) = k**3 + k**2 - 3*k + 22. Let h be s(0). Let a = h + 15. What is the remainder when 146 is divided by a?
35
Suppose -13*t = -8*t - 20. Suppose 33 - 217 = -t*l. Calculate the remainder when 135 is divided by l.
43
Let p = 40 - 22. Calculate the remainder when 2*(-234)/(5 - 14) is divided by p.
16
Let u = -33 + 68. Suppose 7 = q - 4*h - u, 1 = h. What is the remainder when q is divided by 25?
21
Suppose -7 = -2*u + 17. Let b = 16 - u. Calculate the remainder when 11 + (b*-2)/4 is divided by 6.
3
Let s(m) = 2*m**2 + 4*m - 1. Suppose 0 = -4*k - 14 - 18. Let z(w) = w**2 + 6*w - 2. What is the remainder when z(k) is divided by s(-3)?
4
Let i(y) = y**3 + 55*y**2 + 157*y + 102. Suppose 0 = -n - 4*z + 310, -n + 3*z = -10 - 279. What is the remainder when n is divided by i(-52)?
48
Let p(j) = j**2 - 87*j - 546. Let g = -44 + 114. Calculate the remainder when g is divided by p(-6).
10
Calculate the remainder when (-3)/87*-23405 - 16/232 is divided by 6.
3
Let b = -34 + 46. What is the remainder when 1 - (-388)/b*3 is divided by 9?
8
Suppose 6*i = 3*i + 18. Suppose -c + i*c = -10, b - 2*c - 31 = 0. What is the remainder when 105 is divided by b?
24
Let b(i) = 3*i + 54. Let r be b(14). Let h = -43 + r. What is the remainder when 105 is divided by h?
52
Let s = 26 + -7. Suppose 0 = y + 3*y - 40. Calculate the remainder when s is divided by y.
9
Suppose 0 = -117*p + 78818 - 27104. What is the remainder when p is divided by 56?
50
Suppose -3*n = -262 - 122. What is the remainder when n is divided by 68?
60
What is the remainder when 53 is divided by (2 - (-173)/7) + 18/63?
26
Suppose 2*b = -5*c + 288, -3*b + 8*b = -c + 743. What is the remainder when b is divided by 19?
16
Suppose -2*m = 2*m - s - 51, s = -3*m + 47. Let n be 940/26 - (76/(-13) + 6). Suppose -n*p + 41*p - 200 = 0. What is the remainder when p is divided by m?
12
Suppose -a - 50 = -3*t - 5*a, -t - 4*a + 6 = 0. What is the remainder when 87 is divided by t?
21
Suppose -3*y + 99 = 2*s - 5, -y + 142 = 3*s. What is the remainder when s is divided by (-2 + 3 + 0 + -2)*-13?
7
Let g(v) = v**2 + 7*v + 46. What is the remainder when g(-6) is divided by 19?
2
Let p = 973 + -896. What is the remainder when 383 is divided by p?
75
Suppose 80 = 5*f - 4*k - 242, -2*k = 4*f - 242. Calculate the remainder when 178 is divided by f.
54
Let q = -74 - -86. Suppose 6 = -q*h + 138. Calculate the remainder when 29 is divided by h.
7
Let k(q) = q**3 + 10*q**2 + 6*q - 18. Calculate the remainder when k(-9) is divided by 4.
1
Suppose 5*z = 5*v + 575, -z + 5*z = 2*v + 470. What is the remainder when z is divided by 31?
27
Suppose -z - t + 22 = 2*t, -5*t + 102 = 4*z. Let w = -455 + 564. What is the remainder when w is divided by z?
25
Let y(g) = -g**3 - 9*g**2 - 11*g - 7. Let i be 25*(1/(-5) + 1). Suppose 30 + i = h. Calculate the remainder when h is divided by y(-8).
16
Let c be -1 + 3*(-8)/(-12). Let m(i) = 48*i - 1. What is the remainder when m(c) is divided by 10?
7
Let b(s) = -4*s - 15. Let m be b(-7). Let c = m - 7. Calculate the remainder when 126 is divided by (c/5)/((-3)/(-80)).
30
Suppose 25 = 28*n - 23*n, -m + n + 3 = 0. What is the remainder when 79 is divided by m?
7
Let s = -34 - -36. Suppose -o = -h + 140, 115 = h + 2*o + s*o. What is the remainder when h is divided by 23?
20
Suppose 3*b - 3*i = -b - 15, -5*b - 2*i + 10 = 0. Suppose 3*j - 136 = -2*o - j, 2*o + 5*j - 141 = b. Calculate the remainder when o is divided by 15.
13
Let s = 865 + -846. Calculate the remainder when 36 is divided by s.
17
What is the remainder when 184 is divided by ((-2430)/(-21))/2 - 35/(-245)?
10
Let m be (-2 - 0) + (-78)/(-6). Let j = m + -7. Let w = 240 + -229. Calculate the remainder when w is divided by j.
3
Let p(m) = -7*m. Let u be p(7). Let j = u + 28. What is the remainder when 27 is divided by (-309)/j - (-8)/28?
12
Let y = -8 - -16. Suppose 3*f - f = y. Suppose -g = -2, -z - 195 = -f*z - 3*g. What is the remainder when z is divided by 22?
19
Let z = 151 + -142. Suppose -z*x - 78 = -15*x. Calculate the remainder when 127 is divided by x.
10
Suppose y + 4 - 6 = 0. Suppose -3 = y*v - 7. Suppose v*a - i = 16, a - i - 2*i = 8. What is the remainder when 29 is divided by a?
5
Suppose 297 = 12*n - 339. What is the remainder when 580 is divided by n?
50
Suppose -16*b - 198 + 2630 = 0. Calculate the remainder when b is divided by 7.
5
Let x(f) = -f**2 - 47*f - 203. Let v(z) = -4*z**3 - 2*z**2 - z. Calculate the remainder when x(-5) is divided by v(-1).
1
Let r(t) = t**2 - 22*t + 57. Let j be r(19). Suppose -5*c + 5*i + 60 = j, c + 4*i + i = 36. Calculate the remainder when 207 is divided by c.
15
Let a(u) = -u**3 + 17*u**2 + 17*u + 13. Let s be a(18). Let n = s - -50. Calculate the remainder when n is divided by 23.
22
Let y(p) = p**3 + 16*p**2 - 16*p + 24. Let i(k) = k**2 - 8*k - 2. Let b be i(3). Calculate the remainder when (22 - -1) + -3 + 5 is divided by y(b).
4
Let h(j) = -23*j - 11. Suppose -13 = -8*q - 53. What is the remainder when h(q) is divided by 21?
20
Suppose -4 = -23*d + 27*d. What is the remainder when 22 is divided by (144/60)/(d/(-10)*3)?
6
Let y be (-1 - 0)*(-77 - 6). Suppose -5 = -f, 2*m - 3*f + 4*f = y. Calculate the remainder when m is divided by 10.
9
Let i(f) = 33*f + 61. Suppose 11*n - 6 = 38. What is the remainder when i(n) is divided by 28?
25
Let q(n) = -n + 4*n - 4*n + 0*n**2 + 3*n**2. Calculate the remainder when (-18)/(-10) + 45/225 is divided by q(1).
0
Calculate the remainder when 282/24*1*4 is divided by 24.
23
Suppose -28 = 3*n + o - 0, 0 = -4*o - 4. Let a(u) = -5*u + 61. What is the remainder when a(n) is divided by 27?
25
Calculate the remainder when 359 is divided by ((-15)/20 - -3)*(20 + 0).
44
Let w(i) = 27 - 12 - i - 19. Suppose 5*t + 31 = -s - 8, -t - 3 = -s. Calculate the remainder when 4 is divided by w(t).
1
Suppose -3*s - 2*s + 45 = 0. Let p(y) = -y**2 + 12*y - 17. Let i = 32 - 13. What is the remainder when i is divided by p(s)?
9
Suppose 0 = 4*n - n + 132. Let j = -41 - n. Suppose -4*g - 42 = -2*z, 5*z = -j*g + 54 + 116. Calculate the remainder when z is divided by 11.
9
Suppose p - 2*p = 5*c - 27, 64 = 2*p + 5*c. Suppose 2*i = 7*i - 85. Let a = p - i. What is the remainder when 38 is divided by a?
18
Let k(q) = -3*q**3 - 2*q**2 - 153*q - 299. What is the remainder when 432/7 + 4/14 is divided by k(-2)?
16
Suppose 5*z - 71 = 5*m - 346, -5*z - 159 = -3*m. Calculate the remainder when 71 is divided by m.
13
Suppose 54*s - 108 = 52*s. Calculate the remainder when s is divided by 14.
12
Let i(p) = 115*p - 614. What is the remainder when i(7) is divided by 46?
7
What is the remainder when (-88)/(-28)*(-2 + 9) is divided by 10?
2
Let b(p) be the first derivative of -3*p**2/2 + 7*p - 13. Let m be b(2). What is the remainder when (5/2)/(m/6) is divided by 8?
7
Let w(s) = -s - 1. Let d be w(-5). Suppose 0 = 4*f + 3*k + 9 - 140, 0 = d*f - 3*k - 149. What is the remainder when 137 is divided by f?
32
Suppose 0 = 2*g + f + 8 - 24, -2 = 3*g - 5*f. Calculate the remainder when (16 - -4)/(g/(-9) - -1) is divided by (4 + -1)/((-2)/(-14)).
18
Suppose 5*m = 2*u + 161, 2*m = m + u + 34. Calculate the remainder when 370 is divided by m.
29
Let x(u) = -26*u**2 - 2. Let s be x(-2). Let m = s - -133. Calculate the remainder when 159 is divided by m.
24
Let f = -141 - -149. Calculate the remainder when 30 is divided by f.
6
Let m = -216 - -221. Calculate the remainder when 344 is divided by m.
4
Let r(m) = -44*m - 10. Let t be r(-3). What is the remainder when t + ((-2)/(-3))/(4/6) is divided by 25?
23
Let a(n) = -3*n**3 - 4*n**2 - 3*n - 2. Let q be a(-2). Let j = q + -10. Calculate the remainder when 21 is divided by (-175)/(-21) - j/6.
5
Calculate the remainder when 243/(-6)*6/(-9) is divided by -8 + (-372)/(-16) - (-2)/(-8).
12
Suppose p - 5 = -0. Suppose -n + 16 = -p*n, 0 = -5*r + 4*n + 71. Let l(z) = 5*z - 1. Calculate the remainder when r is divided by l(1).
3
Let g(s) = s + 231.