culate the remainder when x is divided by k.
1
Let m = 101 + 0. Suppose -4*f - 97 + m = 0. What is the remainder when 5 is divided by f?
0
Suppose -160 = -h + 5*h. Calculate the remainder when 16 is divided by (-3)/4 - 390/h.
7
Suppose 5*i + 21 = 2*j, 0*j + 2*i = -2*j. Suppose 3*v + 18 = j, -5*w + 90 = -5*v. Calculate the remainder when 75 is divided by w.
10
Suppose -3*b + 10 = -b. Suppose b*v - 6 = 9. Suppose -2*h - v*h + 2*k + 241 = 0, 0 = 5*h - k - 243. Calculate the remainder when h is divided by 17.
15
Let m = -175 + 122. Let d = m - -62. What is the remainder when 25 is divided by d?
7
Let g(p) = 36*p + 139. Calculate the remainder when g(18) is divided by 22.
17
What is the remainder when 434 is divided by (-23)/4*(2 - (3 - -3))?
20
Let o(w) = -w - 3. Let r be o(-4). What is the remainder when 28 - (-1 - (-1 - r)) is divided by 6?
3
Suppose i + 4 = 20. Suppose 4*a - 189*k + 185*k = 24, 3*k + 4 = a. Calculate the remainder when i is divided by a.
2
Suppose -14*p = -8 - 986. Calculate the remainder when p is divided by 50.
21
Suppose 0 = -23*b - 26*b + 17101. Calculate the remainder when b is divided by 32.
29
Let f = -170 - -233. Calculate the remainder when 125 is divided by f.
62
Suppose 1 = f - 14. Let s = f + 12. Calculate the remainder when 161 is divided by s.
26
Suppose 5*t = 25, 4*t + 11 = 4*b - 73. Let k = 17 - -2. Let v = -5 + k. Calculate the remainder when b is divided by v.
12
Let i be 32/(-6)*(-1 - 2). Suppose -g + i = g. Suppose 0 = -5*u + g + 12. Calculate the remainder when 7 is divided by u.
3
Let t(x) = x - 1. Let o(d) = 8*d - 27. Let z(q) = o(q) - 3*t(q). What is the remainder when 31 is divided by z(7)?
9
Let n = -141 + 162. Calculate the remainder when n is divided by 1.
0
Let j(b) = -b**3 - 5*b**2 - 3*b - 5. Suppose -3*c + 9 + 9 = 0. Suppose -f + r = 3*r - c, 5*r - 17 = -3*f. Calculate the remainder when j(-5) is divided by f.
2
Suppose 4*x - 292 = -u, -9*x + 146 = -7*x - 3*u. What is the remainder when x is divided by 13?
8
Calculate the remainder when 131 is divided by 96/(-176)*(0 + -22).
11
Suppose -5*a = 3*d - 35, -22 = -4*a - d - 1. Let g be (a/10)/((-1)/105). What is the remainder when 40 is divided by g*(-1 + (-6)/(-9))?
12
Suppose 5*s + 4*h - 884 = 0, -5*s - h = -3*h - 878. What is the remainder when s is divided by 59?
58
What is the remainder when (63/(-18) - (-1 + -3))*802 is divided by 31?
29
Let h = -90 + 39. Let i = 10 - h. Suppose 0 = -2*z + i - 7. What is the remainder when z is divided by 7?
6
Let c(f) = -19*f + 2. Suppose 2*o + 2 = p, 968 = 3*p - 4*o + 950. Calculate the remainder when c(-2) is divided by p.
12
Let k(n) = 7*n + 1. Let g(p) = 21*p + 2. Let x(o) = 3*g(o) - 8*k(o). Calculate the remainder when 98 is divided by x(5).
32
Let a(h) = -11*h - 14. Let q(z) = z + 1. Let x(m) = 2*a(m) + 18*q(m). What is the remainder when 15 is divided by x(-4)?
3
Suppose -b = -0*b + 3. Suppose 5*u - 110 = 25. What is the remainder when u is divided by b - 1 - (-20 + 2)?
13
Suppose -3*o + 5*p = 17, -2*o + 6 = -4*o + 2*p. Calculate the remainder when (-19 + -2)/(2/o + -3) is divided by 12.
9
Suppose 172 + 443 = 5*m. Let z = 174 - m. Calculate the remainder when z is divided by 13.
12
Suppose 0 = 3*y + 3*g - 27, -4*g + 2 = y - 22. Suppose y*i = 6*i - 30. Calculate the remainder when 43 is divided by i.
13
Suppose 71165 = 45*x + 4880. What is the remainder when x is divided by 82?
79
Suppose 3*t - 242 = 4*g, 5*t - 5*g - 324 = t. Let z = -66 + t. Calculate the remainder when 37 is divided by z.
17
Let u = -747 + 799. What is the remainder when 112 is divided by u?
8
Let p be -2 + (-9)/(0 - 3). Calculate the remainder when 42 is divided by ((-9)/(-2) + 3)/(p/2).
12
Let t(w) = 9 - 12*w + w**2 + 0*w**2 + 0*w**2. Let k be 93/(-124)*(-104)/6. Calculate the remainder when 84 is divided by t(k).
18
What is the remainder when (4*-12)/8 - -77 is divided by 37?
34
What is the remainder when 3 - (-2 - (-5 - -30)) is divided by 8?
6
Let i(x) = x**3 - 7*x**2 + 6*x + 2. Let c be i(6). Suppose 2*s + 4*o = -s + 242, c*s + 2*o - 160 = 0. What is the remainder when s is divided by 27?
24
Suppose -4*k + 14 = 3*g, 5*g = 7*g + 5*k. Calculate the remainder when 36 is divided by g.
6
Let w(p) = p**3 + 2*p**2 - p + 1. Let i be w(4). Let s = 160 - i. What is the remainder when s is divided by 35?
32
Suppose -x - x = 3*h - 46, 2*x + 4*h - 48 = 0. Let l(i) = 11*i**3 + 4*i**2 - 4*i. What is the remainder when l(2) is divided by x?
16
Suppose 3*y + 25 = -23. Let b = 21 + y. Calculate the remainder when 11 is divided by b.
1
Suppose -2*l + 4*w + 86 = 0, -90 = -5*l - 3*w + 112. Calculate the remainder when 128 is divided by l.
5
Suppose -5*c = -3*c - 4. Suppose 2*a - 2*w = c*w + 4, -3*w = 0. Calculate the remainder when a is divided by 1.
0
Let y(h) = h + 8. Let z be y(-5). Suppose 31 = z*n + 10. What is the remainder when (3 - 5 - 4)*-3 is divided by n?
4
Calculate the remainder when 21/(0 + -4 + (-270)/(-66)) is divided by 8.
7
Let a(n) = -3*n + 18. Let d = 516 + -217. What is the remainder when d is divided by a(-14)?
59
Let o be 14/3 - (-1)/3. Let a = o + 4. What is the remainder when a is divided by 665/228 - 2/(-24)?
0
Suppose 10*c + 748 = 21*c. Let k(a) = a**2 - 3*a - 5. Let o(h) = -h**2 + 3*h. Let q be o(4). What is the remainder when c is divided by k(q)?
22
Let c = 6 + 0. Suppose a - 14 = -5*b - 0*a, b + c = 2*a. Let z = -24 - -28. Calculate the remainder when z is divided by b.
0
Suppose 3*v = -6*v + 1215. What is the remainder when v is divided by 23?
20
Let d(t) = 12*t - 355. Calculate the remainder when d(58) is divided by 15.
11
Let s(y) = 75*y**3 + y**2 - 3*y + 1. Let w be s(1). Suppose -w = 2*f - 228. What is the remainder when f is divided by 40?
37
Suppose 0 = 206*q - 212*q + 522. What is the remainder when q is divided by 51?
36
Suppose -4*c = -6*c, -100 = -4*p - 4*c. Suppose 5 = -b - 94. What is the remainder when (p/15)/((-3)/b) is divided by 15?
10
Let f = 16 - 13. Let s be 0 + 1*(f - 0). Suppose -5*v = p - 9*v - 15, -2*v = s*p - 45. Calculate the remainder when p is divided by 4.
3
Suppose -4*r + 222 = 5*o, -4*r + 156 + 64 = 4*o. Let v(d) = d**2 - 29*d - 142. What is the remainder when r is divided by v(34)?
25
Suppose -20*t + 6960 - 260 = 0. What is the remainder when t is divided by 12?
11
Let d be (-8)/12*(-102)/4. Suppose 3*t - 25 = g, 2*t - 4*g + d = 3*t. Let w = 26 + t. What is the remainder when w is divided by 9?
8
Let g(t) = t**3 - 16*t**2 + 17*t - 22. Suppose 87 = 5*s + 12. Calculate the remainder when 15 is divided by g(s).
7
Let n = -303 + 375. What is the remainder when 83 is divided by n?
11
Suppose 5*d + 3*g = 21 + 1, -7 = -d + 2*g. Suppose 45 = d*i - 5. What is the remainder when 28 is divided by i?
8
Suppose 0*q = -2*q. What is the remainder when 9 is divided by (q - -15)/(0 + 3)?
4
Let b = 1543 + -1458. Calculate the remainder when b is divided by 42.
1
Let s(u) = 21*u**2 + 19*u - 19. Calculate the remainder when 23 is divided by s(1).
2
Let c(n) = -n - 10. Let p be c(-14). What is the remainder when 5 is divided by ((-6)/p)/(((-21)/(-14))/(-3))?
2
Suppose 441 = 9*j - 5058. Calculate the remainder when j is divided by 36.
35
Let c(k) = k + 19. Let a = 0 - -4. Suppose -a*b = -q + b + 18, 0 = -2*q - b + 69. Calculate the remainder when q is divided by c(-10).
6
Suppose 4*y = 3*f + 8, 3 = y + 4*f + 1. Let r(n) = 5*n + 0 - 3 - 3*n**2 + 9*n**2 - y*n**2. What is the remainder when 70 is divided by r(-3)?
16
Let z = 209 + -118. Suppose -59 = -3*q + z. Suppose -4*d + 42 = -10. What is the remainder when q is divided by d?
11
Suppose -3*g + 1 - 10 = -v, 4*v - 14 = g. Suppose -v*n + 5*n = 16. What is the remainder when 19 is divided by -1 + n + 3 + -3?
5
Suppose -b - 580 = -4*a, 4*a - 5*b - 475 = 105. Suppose -6*u = -a - 29. What is the remainder when 83 is divided by u?
25
Calculate the remainder when 271 is divided by -2*185/(-10) - 3.
33
Suppose -5*a - 286 = -h, -5*h - 152 - 14 = 3*a. Calculate the remainder when (0 - (-10)/(-6))*a is divided by 24.
23
Suppose -5*t - 4*v + 85 = 0, -2*t + v = -11 - 10. Calculate the remainder when 401 is divided by t.
11
Let s = -186 + 161. Let q = s + 31. Calculate the remainder when 41 is divided by q.
5
Suppose 15*h = 10*h + 220. What is the remainder when (-5)/(20/