alculate the remainder when k is divided by 5.
3
Let a = 77 - 28. Suppose 0 = 5*w - a - 76. What is the remainder when 98 is divided by w?
23
Let c be 1*((2 - 0) + 1). Let q be ((-54)/5)/(c/(-10)). Let j = q + -20. Calculate the remainder when 30 is divided by j.
14
Suppose 0 = 3*k + 5*y + 11, -4*k = -y + 4*y. Let o be 1/6*k*72. Suppose -4*v = 3*r - r - 6, -3*r = -3*v - o. Calculate the remainder when r is divided by 5.
4
Let o(x) = x**3 - 8*x**2 + 8*x + 17. Calculate the remainder when o(7) is divided by 13.
11
Suppose 0*s - 4*s + 68 = 0. Let w = 54 + -48. What is the remainder when s is divided by w?
5
Let a(i) = 3*i + 5. What is the remainder when a(14) is divided by 14?
5
Suppose -7*n - 4*u = -8*n + 81, 0 = -n + 2*u + 91. Calculate the remainder when n is divided by 39.
23
Let f = 87 + -76. Calculate the remainder when 13 is divided by f.
2
Suppose 8*x - 35 = 3*x. Let w(v) = v + 13. Let a = 0 - 0. What is the remainder when w(a) is divided by x?
6
Let g = 4 + 13. Calculate the remainder when 82 is divided by g.
14
Let p(o) = -o + 10. Let w be p(0). Let j be (-4)/w + 24/(-15). What is the remainder when 15 is divided by -1 - (-11 - j)/1?
7
Let s = 14 + -32. Let j = -13 - s. Suppose -j*k + 70 = q, 2*k = 3*k + 2*q - 14. Calculate the remainder when 40 is divided by k.
12
Calculate the remainder when 207 is divided by (-5 + 111)/1*(-1)/(-2).
48
Let d(m) = 5*m**3 - 1 - 3*m + 2*m**2 - 4*m**3 + 1 - 3. What is the remainder when 9 is divided by d(-2)?
0
Suppose 5*l - 5 = 4*n, 5 = 5*l - 2*n - 10. Calculate the remainder when 9 is divided by l.
4
Suppose 0 = -v - 5*q - 0 - 1, 2*q = -4*v + 14. Suppose t - 35 = -v*t. Calculate the remainder when t is divided by 2.
1
Suppose -375 = -2*r - 3*r. What is the remainder when r is divided by 27?
21
Suppose -q = -3*n - 11, 2*n = -5*q + 2 + 2. Suppose 5*m - q*o = 3*o + 100, 2*o = 3*m - 63. Calculate the remainder when m is divided by 12.
11
Let z(o) = 2*o**2 - 12*o + 3. Calculate the remainder when z(9) is divided by 30.
27
Suppose -969 = -11*w + 406. Calculate the remainder when w is divided by 14.
13
Suppose -3*k = 2*k - 175. Let b(n) = -n**2 - 12*n - 9. What is the remainder when k is divided by b(-9)?
17
Let a = 6 - 4. Suppose -5*c + 21 = -14. What is the remainder when c is divided by a?
1
Let p be ((-6)/(-1))/(3/(-10)). Let x = 38 + p. Calculate the remainder when x is divided by 7.
4
Calculate the remainder when 11 is divided by (7/(-2))/(3/(-6)).
4
Let a = 7 + -5. Calculate the remainder when 5 is divided by a.
1
Calculate the remainder when 66 is divided by (8/(-12))/(4/(-138)).
20
Let s = -8 - -13. Suppose 3*k + 66 = s*p, 4 = k + 4*p + 9. Let a = -7 - k. What is the remainder when 27 is divided by a?
7
Let q be 36/(-14)*56/(-12). Let f be ((-18)/(-10))/(q/40). What is the remainder when 27 is divided by (3/(-1))/(f/(-20))?
7
Calculate the remainder when 258/6 + (-1)/(-1) is divided by 6.
2
Let h be (-9)/(-12) - 17/(-4). What is the remainder when 15 + (3/1 - h) is divided by 7?
6
Let j(y) = -4*y + 24. What is the remainder when 13 is divided by j(4)?
5
Suppose 4*o - 15 - 85 = 0. What is the remainder when o is divided by 13?
12
Let u be (10/(-4))/((-6)/12). Let p = 16 - u. What is the remainder when p is divided by (-4)/18 - 58/(-18)?
2
Let d(i) = -i**2 + 6*i + 8. Let c be d(7). What is the remainder when -29*(-1 - c)/2 is divided by 15?
14
Suppose z - v - 28 = 0, -5*z = -2*v + 3*v - 146. Let s = z + 0. Let l = s - 12. What is the remainder when l is divided by 6?
5
Let q = 15 - 4. Calculate the remainder when 53 is divided by q.
9
Suppose -t = -4*t + 93. Suppose -3*q + t = 4. Calculate the remainder when 26 is divided by q.
8
Suppose 3*l + 5*v - 319 = 0, -5*v - 1 = -11. What is the remainder when l is divided by 7?
5
Suppose -17*z - 90 = -12*z. Let m(r) = -14*r + 1. Let t be m(2). Let i = z - t. What is the remainder when i is divided by 5?
4
Let r be 11 - (-1 - -4)/(-3). Calculate the remainder when (6/r)/(1/74) is divided by 10.
7
Let r(s) = -3*s - 2. Let f(x) = 6 - 3*x**2 - x**3 - x - 2 - 2*x + 5*x. Let m be f(-3). What is the remainder when 6 is divided by r(m)?
2
Let h = -16 + 29. Calculate the remainder when (-64)/(4 + -6) + 2 is divided by h.
8
Let x(j) = -42*j**3 - j. Calculate the remainder when x(-1) is divided by 11.
10
Suppose 123 = 6*s - 69. What is the remainder when s is divided by 11?
10
Suppose -2*t + r = -3*t + 22, t - 5*r = -2. What is the remainder when 68 is divided by t?
14
Suppose -3*h + 22 = 1. Calculate the remainder when 10 is divided by h.
3
Calculate the remainder when 48 is divided by -1 - (0 - -18)/(-1).
14
Suppose 0 = 9*l - 8*l - 42. What is the remainder when 249 is divided by l?
39
Let d(l) = 5*l**2 - 6*l - 7. Let y = -36 - -61. What is the remainder when d(4) is divided by y?
24
Suppose -4*i = i, -5*l = -2*i. Suppose l = 2*w - 17 - 27. Calculate the remainder when 64 is divided by w.
20
Suppose 0 = -5*z + 4*i + 395, -z + 53 = -5*i - 5. Calculate the remainder when z is divided by 42.
41
Let v = -181 + 184. Let j = -2 - -6. What is the remainder when j is divided by v?
1
Calculate the remainder when (3 + -2)*2*17 is divided by 18.
16
Suppose 5*n - 2*s - 68 = 0, -3*n + 20 = 2*s - 24. Let d(w) = -13*w + 4 - 5 + 1. Calculate the remainder when d(-2) is divided by n.
12
Let k(q) = q**2 - 5*q + 3. Let p be k(5). Suppose -7*y = -p*y - 140. Calculate the remainder when y is divided by 12.
11
Let k(i) = i**3 + 8*i**2 - 11*i - 8. What is the remainder when 1 - 4/(-2)*19 is divided by k(-9)?
9
Let b(r) = -r**3 + 6 - 8*r + 6*r**2 + 0*r**2 + 3*r**2. Suppose -5*t + 8 = -32. Calculate the remainder when 11 is divided by b(t).
5
Let t(l) = -l**3 - 9*l**2 + 6*l - 4. Calculate the remainder when t(-10) is divided by 20.
16
Suppose -15 = -8*y + 25. What is the remainder when 7 is divided by y?
2
Let o = -121 - -137. Let f(b) = b**3 + 6*b**2 + 4. Calculate the remainder when f(-5) is divided by o.
13
Let z = 6 + -3. What is the remainder when (-27)/(1*(z - 4)) is divided by 7?
6
Let l(p) = -p**2 - 9*p - 9. Let y be l(-7). Suppose 0*h = -5*h - 15, 2*o + y*h - 7 = 0. Suppose -2*n = -7*n + 100. What is the remainder when n is divided by o?
9
Suppose -2*x = 4*r - 4*x - 260, 343 = 5*r + 2*x. What is the remainder when r is divided by 10?
7
Let w be (-10)/(-1) + (-3 - -5). What is the remainder when 29 is divided by 49/3 - 4/w?
13
Let a = 34 + -16. Suppose 3*s - 5*o + o = 14, 4*s - a = 5*o. What is the remainder when 38 is divided by (s - 2 - -1) + 19?
18
Suppose -3*g + 29 = 8. Let k = g - 11. What is the remainder when -1 + (-2 - k - -42) is divided by 15?
13
Let t be ((-6)/3)/((-6)/(-9)). Let c = t + -14. Let j = -10 - c. What is the remainder when j is divided by 3?
1
Suppose -2 = 3*r - 4*r. Suppose r*z - 4 = 6. Suppose 0 = 6*h - 3*h - 42. Calculate the remainder when h is divided by z.
4
Suppose -3*k - 39 = -0*k. Let t = k + 15. Calculate the remainder when 4 is divided by t.
0
Let v(u) = -u**3 - 4*u**2 - 2*u - 6. Let t be v(-4). Suppose -5*q + 23 = b - t, -b - q = -17. What is the remainder when b is divided by 8?
7
Let g(u) be the first derivative of -11*u**2/2 - u + 1. Suppose 18 = 2*t - 4*h, -h = -0 + 5. Calculate the remainder when 28 is divided by g(t).
8
Calculate the remainder when 16 is divided by (6/(-8))/((-3)/36).
7
Suppose 2*z = -3*z + y + 321, 0 = -3*y + 12. What is the remainder when z is divided by -2*(-2)/4 + 16?
14
Let h(c) = c**3 - c - 45. Let o be h(0). Suppose -2*l - 3*l + 5 = 0. Let j = l - o. Calculate the remainder when j is divided by 16.
14
Suppose 0 = -21*h + 23*h - 84. What is the remainder when h is divided by 11?
9
Let i(m) = 5*m**2 + 4*m + 3. Let l be i(-2). Suppose 2*o - 3*k - 10 + 3 = 0, 3*o = 3*k + l. What is the remainder when o is divided by 5?
3
Let s = 48 + -44. What is the remainder when 56/10 - 2/(-5) is divided by s?
2
Let w(q) = q**3 + 10*q**2 + 11*q + 22. Let t be w(-9). Suppose 2*u - 3*u = t*v - 125, 169 = 5*v - 3*u. Calculate the remainder when v is divided by 11.
10
Let x(w) = 49*w - 126. Let q(p) = -82*p**3 + p**2. What is the remainder when q(-1) is divided by x(3)?
20
Suppose -6*g + g = -345. What is the remainder when g is divided by 35?
34
Suppose 3*s - 69 = -g, -11 = -4*s - 5*g + 92. Calculate the remainder when s is divided by 12.