. Calculate the remainder when ((-568)/(-10) - 4/(-20)) + b is divided by 22.
17
Let p(f) = -3*f - 7. Let h be p(-11). Suppose -o + 0*s = -2*s - h, 4*o - 164 = -4*s. Calculate the remainder when o is divided by 14.
8
Let l(a) = -a**3 - a**2 + 25*a + 78. Calculate the remainder when l(-7) is divided by 189.
8
Let v = -8 + 13. Suppose -v*u + 112 = -u. Suppose 8*k - 12*k + u = 0. Calculate the remainder when 27 is divided by k.
6
Let h(j) = 99*j**3 - 12*j**2 + 2*j - 15*j - 12 - 100*j**3. Calculate the remainder when 23 is divided by h(-11).
3
Let o(i) = -90*i + 4. Let l be o(-2). Suppose 3*h = -5*p + 302, -3*p - 2*h + 3*h = -l. What is the remainder when p is divided by 8?
5
Suppose 0*b = 5*i - b - 9, 0 = 2*b + 8. Let j(r) = 41*r - 3. Calculate the remainder when j(i) is divided by 13.
12
Suppose 4*y = 62 + 50. Suppose -146 = -2*g - 3*i - i, -3*i + 68 = g. Calculate the remainder when g is divided by y.
27
Let w = 28 - 20. Suppose 306 = -5*i + w*i. Calculate the remainder when i is divided by 26.
24
Suppose 2*a + 60 = -4*d - 2*a, 0 = -d + 5*a + 3. Let o(b) = -b**2 - 13*b + 17. Let m(p) = 4*p**2 - 32*p + 8. What is the remainder when o(d) is divided by m(8)?
5
Suppose g + 184 = 5*g. Let j = -346 + 359. What is the remainder when g is divided by j?
7
Let j(q) = 4*q + 15. Let s be j(-7). What is the remainder when s/(-3) + (-32)/(-48) is divided by 3?
2
Suppose 210*x = 190*x + 2420. What is the remainder when x is divided by 9?
4
Let a(v) = v**3 - 7*v**2 + v - 3. Let w be a(7). Suppose 31 = -w*b + 135. Calculate the remainder when 71 is divided by b + -10 - 4/(-2).
17
Suppose -2*p - 4*n - 36 = 0, -5*p = 3*n - 37 + 99. Let s = p - -71. What is the remainder when s is divided by 32?
29
Let b(n) = -n**2 + 19*n + 166. What is the remainder when b(23) is divided by 67?
7
Let t be (-4 + 4)/3*1. Let k be (-2)/8*0 - t. Calculate the remainder when (-10)/(k + 2/(-10)) is divided by 13.
11
Let d = 83 + -59. Let m = 36 - 28. Suppose -44 = -3*v + 2*o + m, 0 = -v - o + 9. What is the remainder when d is divided by v?
10
Let f = 74 - 70. Suppose 14 = -3*s + f*s. Calculate the remainder when 41 is divided by s.
13
Let n(o) = 44*o**2 - 113*o + 112. Let a = -21 - -29. Suppose -25 = -3*f + a. What is the remainder when n(1) is divided by f?
10
Let g = 2431 - 2344. Calculate the remainder when g is divided by 85.
2
Let x be 1/3*(1 + -1). Suppose -4*n + 416 = -x*n. Suppose 51 + n = 5*b. What is the remainder when b is divided by 17?
14
Let t be 3*(-1 + -6 + 0). Let h = 4 - t. Calculate the remainder when h is divided by (-21)/(231/22 + -12).
11
Suppose 1690*h + 2032 = 1698*h. What is the remainder when h is divided by 79?
17
Let t be (1 - 6)/5 - -4. Suppose -3*u = -t*d - 27, 2*u - 4 = -4*d - d. What is the remainder when 11 is divided by u?
4
Suppose -5*k = -4*k - z - 96, k + z = 104. Let t = 107 - k. Calculate the remainder when t is divided by 4.
3
Let k = -664 + 736. What is the remainder when 287 is divided by k?
71
Let y(b) = 6*b - 7. Let j be y(2). Suppose 0 = j*x - 12*x + 91. Calculate the remainder when 23 is divided by x.
10
Let k = 12 - -30. Suppose -123 + k = -3*u. Let t(j) = 9*j**3 + 1. Calculate the remainder when u is divided by t(1).
7
Let s(f) be the third derivative of -1/6*f**3 - 1/24*f**4 + 8*f**2 + 0 - 1/120*f**6 + 1/60*f**5 + 0*f. What is the remainder when s(-2) is divided by 8?
5
Suppose 0 = -i + y + 1092, -806 - 296 = -i - y. Calculate the remainder when i is divided by 18.
17
Suppose 0*d - 5*d = -15. Suppose -x + d*x = 128. Suppose 43 = 2*g - 1. Calculate the remainder when x is divided by g.
20
Suppose 0 = 3*v + 3, 3*v = p - 730 - 649. What is the remainder when p is divided by 115?
111
Let s(i) be the second derivative of 13*i**3/3 + 3*i**2/2 - 21*i. What is the remainder when s(2) is divided by 20?
15
Let z(c) = c**3 + 2*c**2 + c + 2. What is the remainder when 7425/30 - ((-9)/(-2))/(-9) is divided by z(3)?
48
Let u(f) be the third derivative of -f**6/120 - 11*f**5/60 + 3*f**4/8 - f**3/3 - 8*f**2. Let p = -3 - -12. Calculate the remainder when u(-12) is divided by p.
7
Let a(g) = -70*g + 5. Suppose -7 = 3*k - 85. What is the remainder when a(-1) is divided by k?
23
Suppose -37 = -9*r + 26. Let v = 10 + r. Calculate the remainder when 31 is divided by v.
14
Suppose 2*z + 5*h - 1377 = 0, -3*z + 758 + 1325 = 4*h. What is the remainder when z is divided by 54?
53
Suppose -5990 = -9*f + 2308. Calculate the remainder when f is divided by 42.
40
Suppose -3*l + 5*b = -38, 5*l - 5*b + 42 = 112. What is the remainder when 2/(-3)*-29*(1 + 2) is divided by l?
10
Let i = 4 - 14. Let r = 6 + i. Calculate the remainder when 2*3*(1 - r) is divided by 17.
13
Suppose 13 = -4*c + 33. What is the remainder when (-696)/(-16) + 27/(-18) is divided by c?
2
Let f = 11 - 4. Let l = 22 - 32. Let r = 14 + l. What is the remainder when f is divided by r?
3
Suppose -4*v = -0*v - 64. Let t = 34 - v. Calculate the remainder when 34 is divided by t.
16
Let r(k) = -89*k**3 - 2*k**2 - 2*k. What is the remainder when r(-1) is divided by 26?
11
What is the remainder when 0/(-113) - (-452)/2 is divided by 60?
46
Let q = -36 + 81. Suppose 2*b - 23 = 3. Calculate the remainder when q is divided by b.
6
Let v(k) be the third derivative of -k**4/6 + 22*k**3/3 + 26*k**2. Calculate the remainder when 5 is divided by v(10).
1
Let y = 8 + -5. Suppose 21 = 4*n + y*j, -j - 3*j = -12. Suppose -28 = -6*r + 2*r. Calculate the remainder when r is divided by n.
1
Let x(i) = i**2 - i + 1. Let h(a) = -a**2 + 17*a + 11. Let c(q) = -h(q) - 2*x(q). Let m = -15 + 26. Calculate the remainder when c(-8) is divided by m.
10
Let s = -17 - -31. Let k = -8 - -13. Suppose f - 109 = -4*o, -k*f - 1 = -26. Calculate the remainder when o is divided by s.
12
Let t = 16 + -7. Suppose -x + m + t - 2 = 0, 5*m = 0. Suppose -x = z - 17. Calculate the remainder when z is divided by 5.
0
Suppose 5*z - 33 - 112 = 0. What is the remainder when (-108 - -2)*(0 + 1/(-2)) is divided by z?
24
Suppose 4*u = 5*a - 15, 2*u - 5*u = a + 16. What is the remainder when -1 - -2 - (-5 + -20) is divided by 2*((-17)/(-4) - u/20)?
8
Suppose 3*v = -18 + 60. Suppose 3*a - a - 4*x - 54 = 0, 0 = 2*x. Calculate the remainder when a is divided by v.
13
Suppose -63*m + 58*m = 135. Let i(n) = n**2 + 31*n + 121. Calculate the remainder when (-128)/(-6) + 2/3 is divided by i(m).
9
Let t(a) = -a**2 + 23*a - 12. Calculate the remainder when t(10) is divided by 31.
25
Suppose 0 = -3*a - 6 - 12. What is the remainder when (-1)/(-1) - 30/a is divided by 1?
0
Let p = -4247 - -4329. Let k(f) = -f**2 + f + 23. What is the remainder when p is divided by k(0)?
13
Suppose 48*y = 5098 + 28118. What is the remainder when y is divided by 29?
25
Let p(y) = -12*y + 11*y + 0*y - 3 - 1. Calculate the remainder when p(-6) is divided by 2.
0
Let k = 34 + -34. Suppose 5*j + k*j = 125. What is the remainder when 98 is divided by j?
23
Suppose -28 = -5*g - 2*r + 22, 0 = 2*r + 10. Suppose g = 2*m + d + d, -4*m + 6 = -2*d. What is the remainder when 8 is divided by m?
2
Let o be -4 + (-30)/(-9) + 3/(-9). Calculate the remainder when -35 + 32 + 32 + (o - -2) is divided by 17.
13
Let n(x) = 22*x**2 - 31*x - 83. Calculate the remainder when n(-3) is divided by 71.
66
Suppose -8 = -3*v + 1. Suppose -v*j - 2*g = -293, -3*j + 3*g + 273 = -0*g. What is the remainder when j is divided by 24?
23
Suppose -2*b + 3*w - 3 = 0, 0*b - 5*w = -2*b - 5. Suppose -6*o + 14 + 4 = b. Calculate the remainder when o is divided by (-2 - -3)*1 + 1.
1
Suppose -5*b + 769 = 59. Let m be (-20)/(-8)*96/80. Suppose -m*f - 4*x = -166, 5*f - b = -4*x + 132. What is the remainder when f is divided by 28?
26
Let v be (-4 + 3)*(4 + -1). What is the remainder when 35 is divided by v - (-20 + -3 + 1)?
16
What is the remainder when 230 is divided by 4 - -26 - (108/(-6))/6?
32
Suppose -69 + 131 = 2*w - 4*j, -2*j + 35 = w. What is the remainder when 155 is divided by w?
23
Let w(a) = a - 9. Let f be w(14). Suppose f*y - 206 = -76. What is the remainder when y is divided by 8?
2
Let l(h) = -h**3 + 7*h**2 + 9*h - 8. Let d be l(8). Let v be 2/3*(d + 6). Suppose -v*x + 287 = 39. Calculate the remainder when x is divided by 16.
14
Let o = -12 - -29. Suppose 0 = 2*l + 185 - 479. Suppose l = -0*y + 3*y. Calculate