Suppose 84*y = 91*y - z. What is the remainder when 47 is divided by y?
2
Let c = 6872 + -5601. Calculate the remainder when c is divided by 63.
11
Suppose 601*b = 19462 + 5179. Let d = 52 + 164. What is the remainder when d is divided by b?
11
Let a(r) = r + 58 - 2*r**3 - 146 + 3*r**3 - r**2 + 172. Calculate the remainder when a(0) is divided by 25.
9
Let u = -22 - -30. Suppose u*b + 29 = -3. Calculate the remainder when 2/6 + (1040/(-12))/b is divided by 6.
4
Let c = 34 - 37. Let b(t) = -t**2 - 4*t - 3. Let y be b(c). Suppose 2*a - 5*n = 134, -4*a - 4*n = -y*n - 240. What is the remainder when a is divided by 7?
6
Calculate the remainder when 1934 is divided by -1 - -1 - ((-3890)/90 + (-6)/(-27)).
42
Let s be (((-75)/10)/(-1))/((-1)/(-2)). Suppose s*n = 7*n + 1352. Let r = 89 - 46. What is the remainder when n is divided by r?
40
What is the remainder when 280 is divided by 3/6 + 13/26?
0
Suppose 9*k = 10*k - 2. Suppose 5*m - k*z - 90 = 0, 4*z + 5 = 4*m - 55. Suppose 117 + 199 = 4*r. What is the remainder when r is divided by m?
19
Let t(p) = -p**3 + p + 107. Suppose 0 = d - 3*d - 14. Let v(x) = 2*x**2 + 7*x - 13. Calculate the remainder when t(0) is divided by v(d).
35
Let w(q) = 4*q**2 - 7*q - 22. Let v be w(-4). Calculate the remainder when (1600/v)/(5/35) is divided by 9.
7
Suppose -3*n - 27 = -12, 34 = 4*w + 2*n. Let m = 3693 + -3673. What is the remainder when m is divided by w?
9
Suppose -8*d = -3*x + 1095, -256*x + 258*x - 705 = -3*d. Let a = 120 - 84. What is the remainder when x is divided by a?
33
Suppose 8*b + 1 = -2*a + 5*b, a = b - 8. Calculate the remainder when 101 is divided by (7/1)/(a/(-25)).
31
Let w = 210 - 150. What is the remainder when 1307 is divided by w?
47
Let j be 3 + 1 - (-8 - -11). Calculate the remainder when j + -4 + (-10 - -270) is divided by 68.
53
Let a(h) = 7*h + 45. Let l(g) = -g**3 + 6*g**2 - 6*g + 4. Let d be 125/30 - 3/18. What is the remainder when a(0) is divided by l(d)?
9
Suppose 60*n - 20900 = -16895 + 88155. Calculate the remainder when n is divided by 29.
28
Let q(a) = -a**3 - 8*a**2 - 3*a + 45. What is the remainder when 176 is divided by q(-8)?
38
Let s = 24613 + -24583. Calculate the remainder when 1979 is divided by s.
29
Let b = 606 - 602. Calculate the remainder when b is divided by (6 + 0)*34/51.
0
Let a(n) = n**2 + 5*n - 24. Let u be a(3). Suppose u = -h - 3, 4*h = -3*c - 2*c + 33. Calculate the remainder when 14 is divided by c.
5
Suppose -26*u + 20*u - 42 = 0. Let l(y) = -y**3 - 6*y**2 + 9*y + 21. What is the remainder when 76 is divided by l(u)?
6
Let g = 1795 + -1626. Calculate the remainder when g is divided by 158.
11
Let u = -311 - -314. Suppose -u*b + 32 = -5*f, -3*b = -0*f + 2*f - 67. What is the remainder when 147 is divided by b?
14
Let z = -5098 - -5585. Calculate the remainder when z is divided by 7.
4
Let n = -1069 + 1805. Calculate the remainder when n is divided by 13.
8
Suppose -492*v + 3160 = -500*v. Let u = v + 406. What is the remainder when 20 is divided by u?
9
Let n = -15 + 26. Let y(a) = 128*a + 822. Calculate the remainder when y(-6) is divided by n.
10
Let r(a) = 1630*a**2 + 13*a + 26. What is the remainder when r(2) is divided by 16?
12
Let a(k) = -k**3 - 15*k**2 + 105*k + 1708. What is the remainder when 1382 is divided by a(-13)?
2
Let m(g) = g**3 - 2*g**2. Let u(t) = 23*t**3 + 11*t**2 + 4*t - 1. Let b(d) = -4*m(d) - u(d). Calculate the remainder when 113 is divided by b(-1).
26
Let f(k) = -2*k**3 + k**2 - k - 1. Let t be f(-3). Let n = 154 - t. Calculate the remainder when n is divided by (7/14 + -2)/(3/(-30)).
14
Suppose -w - z + 2492 = 0, 0 = 79*w - 76*w + 5*z - 7474. What is the remainder when w is divided by 43?
42
Let s(t) = -3*t - 10. Let a be s(-6). Suppose 5*w - 4*w - a = 0. Suppose y - w = -7*y. What is the remainder when 1 is divided by y?
0
Let u = 58 - 47. Suppose 0 = 3*x - 5 - 4. Suppose -4*j + 105 = -4*n + 33, -x*n = -5*j + 100. What is the remainder when j is divided by u?
1
Let m = -81 + 195. Calculate the remainder when m is divided by 2/17 - (-105456)/5304.
14
Let i(w) = 31*w**2 - 159*w + 23. Calculate the remainder when i(7) is divided by 18.
15
Let g(j) = -j**3 + 9*j**2 + 2*j - 2. Let x be g(9). Suppose -8 = -k + x. Calculate the remainder when (-1 + 3)*((-872)/(-26) + (-327)/8502) is divided by k.
19
Let d = -110 - 34. Let r be (d/(-28))/(4/28). What is the remainder when (r/(-16))/(1/(-4)) is divided by 5?
4
Let b be (-2)/7 - (-18)/14. Suppose -2*f = 4*a - 18, 59*f = 55*f - 3*a + 51. Calculate the remainder when (-43)/(0 + -2 + b) is divided by f.
13
Suppose -24*p = -1200 - 18288. Suppose -3*g = -o - 2, 5*o - g = -6*g + 30. Suppose -3*x = o*x - p. What is the remainder when x is divided by 13?
12
Let v(l) = l**3 + 3*l**2 - 35*l - 101. What is the remainder when 1819 is divided by v(-5)?
19
Suppose f = -2*f + 12. Suppose 62 + 34 = f*p. Let k(x) = 3*x**2 + 8*x + 20. Calculate the remainder when k(-9) is divided by p.
23
Suppose -215*c + 34987 + 58 = 0. What is the remainder when 2766 is divided by c?
158
Let g = 90 + -88. Let h be g/5 + 1/(5/73). Suppose 113 = 4*p - h. What is the remainder when 63 is divided by p?
31
Let j(u) = 9 - 4 + 27*u - 2 - 4 + 19*u**2. What is the remainder when j(-3) is divided by 20?
9
Let b = 38 + -21. Calculate the remainder when 21/(-2)*7052/(-258) is divided by b.
15
Suppose -5*a + 220 = -9*y + 14*y, 184 = 5*y - 4*a. Calculate the remainder when 97 is divided by y.
17
Let k = 42 + -25. Let g = k - 9. What is the remainder when 7*4*(9/12 - (-1827)/252)/8 is divided by g?
4
Let q(a) = -a + 14. Let y be (2 - 2)/(-2) - 2 - -11. Let p be q(y). Suppose p*n = -2*j + 22, 3*j - 5*j = n - 6. What is the remainder when n is divided by 2?
0
Suppose -3*o = -0*o - 108. What is the remainder when -19 - (-1335)/(-75)*-5 is divided by o?
34
Let b(i) = 4*i**2 + 44*i + 15. Let t be b(-13). Suppose -4*k = -5*d - t, -52*k = -49*k - 2*d - 84. Calculate the remainder when 84 is divided by k.
6
Let p(b) = -b**3 + 22*b**2 - 22*b + 36. Let x be p(21). Suppose x*t = 17*t + 44. Let k = t + 31. What is the remainder when 33 is divided by k?
6
Calculate the remainder when 926520/546 - 2/(-26) is divided by 41.
16
Calculate the remainder when 1092 is divided by ((-4185)/(-558))/((-2)/4 + 1).
12
Let x = 76 - 121. Let h = 22 - x. Let f(y) = 2*y**2 - 6*y - 13. What is the remainder when h is divided by f(6)?
21
Let s(r) = 13*r**2 + 4*r - 3. Let i(w) = -w**2 + 618*w - 73225. Calculate the remainder when s(2) is divided by i(458).
2
Suppose 3*a = 510 - 51. Suppose -a - 69 = -2*f. Calculate the remainder when f is divided by 25.
11
Suppose 0 = 31*g - 616 + 120. Calculate the remainder when 991 is divided by g.
15
Let k = -1655 - -2072. What is the remainder when k is divided by 30?
27
Suppose -228*b = -237*b + 3402. Calculate the remainder when b is divided by 16.
10
Suppose 0 = -11*x + 45 + 241 - 11. Suppose f + 2*c = 112, 4*f + 3*c = -243 + 696. Calculate the remainder when f is divided by x.
14
Let h(n) = n**3 + n**2 - 58*n. What is the remainder when 418 is divided by h(-6)?
82
Let k = 9865 + -9717. Calculate the remainder when 3248 is divided by k.
140
Suppose 0 = a - 10*a - 67*a + 100852. Calculate the remainder when a is divided by 362.
241
Suppose 2675 = 39*k - 1693. What is the remainder when 1566 is divided by k?
110
Suppose w = 4, 20*q - 9113 = 17*q + w. Calculate the remainder when q is divided by 20.
19
Suppose 174*p + 161875 = 269054 + 295979. Calculate the remainder when p is divided by 211.
207
Let n = 45 + -45. Suppose n = -4*z - 12, 3*z = -3*j - 0*j. Suppose x = -2, 3*t = j*x + 18 + 39. Calculate the remainder when 33 is divided by t.
16
Suppose 8*v - 2*x + 23 = 13*v, 1 = -x. Calculate the remainder when 268 is divided by v.
3
Suppose 10*u = 9*u + 1. What is the remainder when 212 - (-6)/u*1 is divided by 75?
68
Let n = 1196 - -1633. What is the remainder when n is divided by 48?
45
Suppose -5*z + 0*z = 10. Let x be (28/16 + z)*-328. Suppose -398 + x = -4*n. What is the remainder when n is divided by 16?
15
Calculate the remainder when (25 - 4384/160)/((-4)/590) is divided by 42.
18
Suppose -5*o - 84 = -104. Suppose h - 5 = -2*q + 3*q, 5*h + o*q = 61. Calculate the remainder when 49 is divided by h.
4
Suppose -5*t + q = 