8.
14
Suppose -5*h = 4*f - 1891 + 1554, -16 = -2*f. Calculate the remainder when 866 is divided by h.
12
Let k(p) = -2*p**2 - 33*p + 54. Let y be k(-18). Suppose 0 = 2*r + 10, 5*x + 2*r - 20 = y. What is the remainder when 26 is divided by x?
2
Let f = -60 + 120. Let t be 48/20*(-2325)/(-10). Suppose t = -23*u + 41*u. Calculate the remainder when f is divided by u.
29
Calculate the remainder when 4076 is divided by 17/(-7*(-2)/28).
30
Let j be (-8)/(-3)*(-24)/(-32) - -6. Suppose 360 = 2*x + 6*p - j*p, 4*p = -20. What is the remainder when x is divided by 36?
31
Suppose 5*k = k + 3*x + 61, -4*x = -4*k + 56. Let y = 61 + 17. Let f = y - k. What is the remainder when f is divided by 12?
11
Let y(r) = 183*r - 1614. Calculate the remainder when y(13) is divided by 271.
223
What is the remainder when 3*(-3)/((-12)/244) is divided by -49*(5 + (-342)/63)?
15
Let g(c) = 23*c + 5. Let s be (0 - 1 - -4)*-1. Let y be g(s). Let k = y - -81. Calculate the remainder when 184 is divided by k.
14
Let l be (-2)/(-4)*(9 + 17). Let i(c) = 3*c + 68. Calculate the remainder when i(l) is divided by 18.
17
Suppose -34695 - 432 = -44*v + 20709. Calculate the remainder when v is divided by 212.
209
Suppose -134*m + 10958 + 4184 = 0. Calculate the remainder when 1684 is divided by m.
102
Calculate the remainder when 494 is divided by ((-35)/(-10) + -4)/((-4)/264 - 0).
32
Suppose -33*i = -24*i - 27. Suppose -11 = -y + g, 7*g = -i*y + 5*g + 58. Suppose 5*n + 58 - 183 = 0. Calculate the remainder when n is divided by y.
9
Let l = 15728 + -9550. What is the remainder when l is divided by 37?
36
Suppose 30*i = 7*i + 2645. Let u(y) = -2*y + 2. Let l be u(-5). Suppose -l*z + 7*z = -i. What is the remainder when z is divided by 12?
11
Let y = -7976 + 7991. What is the remainder when 4499 is divided by y?
14
Let c = -100 + 104. Suppose -5*j = -d + 244, -c*d + 672 = -d + 5*j. Calculate the remainder when d is divided by 58.
55
What is the remainder when (1365/(-52))/35*-4516 is divided by 7?
6
Let g be ((-2)/(-1))/((-3)/(-1074)). Let a = g + -683. Calculate the remainder when a is divided by 24.
9
Suppose 14*s = 20*s - 156. Let r = 86 - 92. Let i(n) = -3*n + 1. What is the remainder when s is divided by i(r)?
7
Suppose -9*a + 109 - 25 = -60. Suppose 0*h = 7*h - 700. What is the remainder when h is divided by a?
4
Suppose 313*f - 108 = 304*f. Let r(x) = 3 + 3 - 4 - 5*x + 2. What is the remainder when r(-6) is divided by f?
10
Let d = 617 + -614. Let s be ((-8)/(-3))/((-3)/(-9)). Let z = s - -5. What is the remainder when z is divided by d?
1
Let w(x) = x**2 + 48*x - 841. What is the remainder when w(19) is divided by 115?
87
Let v = -4595 - -4945. Calculate the remainder when v is divided by 9.
8
Suppose -4*h + 0*h + 52 = 0. Let l(o) = -o**3 + 15*o**2 - 62*o + 205. Calculate the remainder when h is divided by l(11).
6
Suppose 3*x - 846 = 3*l, -3*l - 1402 = -25*x + 20*x. Calculate the remainder when 846 is divided by x.
12
Suppose 46*b = 53*b - 21. Suppose -5*h = -b*s - 107, 0*h = 3*h - s - 61. What is the remainder when h is divided by 4?
3
Suppose 14*w = 3*w. Let x be (-7 + w)/((-5)/110). Suppose 14 = 5*n - 2*k - 244, x = 3*n - k. What is the remainder when n is divided by 17?
16
Suppose 0 = -211*n + 504 + 7079 + 1701. What is the remainder when n is divided by 24?
20
Suppose 7838 - 749 = 17*d. Let o(n) = n**3 + 18*n**2 - 2*n + 6. What is the remainder when d is divided by o(-18)?
39
Suppose r = -0*r + 4*f, 0 = 5*f - 10. Suppose 3*w - r*w = 10, -4*m - 2*w + 816 = 0. Suppose 4*i - m = -197. Calculate the remainder when 13 is divided by i.
1
Let m(p) = 612*p + 3076. What is the remainder when 892 is divided by m(-5)?
12
Suppose -26 - 190 = -54*u. Suppose u*c = 2*x + x + 120, -124 = -4*c + 2*x. Let s = 46 - 32. Calculate the remainder when c is divided by s.
5
Let c = -44 + 66. What is the remainder when (15 - 0) + -2 - -3 is divided by (-130)/15 + 8 + c/6?
1
Suppose 5*h - 988 = 72. Calculate the remainder when 1906 is divided by h.
210
Suppose 891*k - 954*k + 7686 = 0. Calculate the remainder when 4510 is divided by k.
118
Suppose d = -0 + 76. Suppose d = k + 21. Let m = k + -52. What is the remainder when 13 is divided by m?
1
Suppose 0 = 4*u + 5*h - 14, -2*h - h = 2*u - 6. Let c = -118 - -122. What is the remainder when u is divided by c?
2
Let k(j) = -20*j - 6. Let b(d) = -40*d**3 + 51*d**2 + 45*d - 7. What is the remainder when k(-8) is divided by b(-1)?
37
Let f(w) = -6*w**2 - 913*w - 86. What is the remainder when 236 is divided by f(-152)?
38
Let g be 2/2*-2 + (-3630)/33. Let a = g - -120. Let r = 8 - 2. Calculate the remainder when a is divided by r.
2
Let f = 2037 + -2026. What is the remainder when 174 is divided by f?
9
Suppose 13*o = -19*o + 640. Let x be (-5 + 4)*7*1. Let i(y) = 2*y**2 - 3*y. What is the remainder when i(x) is divided by o?
19
Suppose -1026*j = -1017*j - 2610. Calculate the remainder when (-35 + 2)/(j/100 - 3) is divided by 67.
62
Suppose -4*m + 4*y - 5300 = 8*y, 5*m + 6590 = 2*y. Let w = m - -1987. Calculate the remainder when w is divided by 61.
57
Let z(b) = 68*b - 593. What is the remainder when z(10) is divided by 24?
15
What is the remainder when (3 - 370/(-30))/(((-30)/(-1413))/5) is divided by 12?
11
Suppose -71*z + 26*z + 67952 = 92*z. What is the remainder when z is divided by 131?
103
Let z = 70 - 70. Let u be (45/(-6) - z)*-2. Calculate the remainder when (1 - -1)*(u + 4) + -1 is divided by 20.
17
Let f(d) = 56*d**2 + 47 + 6*d - d**2 - 55. Calculate the remainder when f(2) is divided by 339/6 + (-1)/(-2).
53
Let i be (6 - -6)*(-1)/(-2 + 0). Let t(m) = -20*m + 125. What is the remainder when 147 is divided by t(i)?
2
Let f(x) = 5*x**2 + 10*x + 35. Let d(g) = 29*g - 63. Let c be d(2). What is the remainder when f(c) is divided by 19?
15
Let k = -3 - -19. Suppose 25*w - 24*w = k. What is the remainder when w is divided by 11?
5
Suppose 2*h + 87 = u + 26, -h - u = 29. Calculate the remainder when 28 is divided by 266*(-3)/h - (-4)/10.
1
Suppose 381*n = 2*a + 380*n - 339, -540 = -3*a - 9*n. Let t = 2 + 2. Suppose v + 0*w = -w + 63, -w = -t*v + 227. What is the remainder when a is divided by v?
55
Suppose 6*z + 20*z = 130. Suppose 5 - 15 = -z*a. What is the remainder when 11 is divided by a?
1
Let f(a) = 11*a**3 - a + 1. Suppose -4*n - 47*p + 704 = -48*p, -2*n - 19*p = -196. What is the remainder when n is divided by f(1)?
9
Suppose -4*j + 3*w = -5009, 4*j + 5*w + 1842 - 6859 = 0. What is the remainder when j is divided by 17?
12
Suppose -13*t = 14*t - 20250. Calculate the remainder when t is divided by 126.
120
Suppose 756*h = 720*h + 8028. Calculate the remainder when 664 is divided by h.
218
Suppose 20 = -5*d, -5*m + d + 15 = -134. Suppose 126 = 3*y + 3*c - 489, 3*y = -4*c + 618. What is the remainder when y is divided by m?
28
Let d(f) = 3*f**3 - 11*f**2 + 98*f. Calculate the remainder when d(13) is divided by 2001.
3
Let z(a) = 8*a**2 + 5. Let f = 9532 - 9466. What is the remainder when z(4) is divided by f?
1
Suppose -h + 555 = 22*x - 19*x, -205 = -x + 3*h. What is the remainder when 1492 is divided by x?
183
Let d be (1 + 0/(-2))*(-153 + -5). Let s = -155 - d. What is the remainder when 70 is divided by s?
1
Let y(b) = -102*b - 453. Calculate the remainder when y(-9) is divided by 32.
17
Suppose 4*g - 12 = 0, -4*r + 6*r = -5*g + 351. What is the remainder when 152 is divided by 5/((-8)/(r/(-35)))?
2
Suppose 0 = -2*q + 372 + 14. Suppose 39*h = 275 + q. What is the remainder when (-2)/(-3)*(-207)/(-3) is divided by h?
10
Suppose -m - 78 = -y + 610, -4*y = 3*m - 2787. What is the remainder when y is divided by 174?
171
Suppose 735 = 5*a - 5*t, 3*a + 2*t - 606 = -a. Let x = -113 + a. What is the remainder when x is divided by 1 - (-6)/(-2) - -22?
17
Suppose 5*d = 3*c - 12 + 2, -3*c = -3*d - 12. Suppose -2 = c*h - 7. Suppose -34*z + 105 = 57*z + 14. Calculate the remainder when z is divided by h.
0
Suppose -3*u + 4*u = -8. Let x(y) = y**2 + y + 10. Calculate the remainder when x(u) is divided by (-1 - -3)/((-14)/(-119)).
15
Let i(x) = 8*x**2 - 36*x - 6. Calculate the remainder when 3581 is divided by i(5).
11
Suppose -16*v = -9*v + 224. What is the remainder when (v/64)/((-2)/112) is divided by 21?
7
Suppose -4*r + 4*m = r - 775, m + 465 =