alculate the remainder when x is divided by p.
0
Calculate the remainder when (-2)/(-5) + 129/15 is divided by 6.
3
Suppose z = 5*z - 204. Suppose -4*x - z = -7*x. Calculate the remainder when x is divided by 6.
5
Let g = 23 - -13. What is the remainder when g is divided by 19?
17
Let q(n) = n**3 - 12*n**2 + 13*n - 15. What is the remainder when 27 is divided by q(11)?
6
Let p(d) = 7*d - 1. Let b = 1 + 1. Suppose 28 = b*k + 6. Calculate the remainder when k is divided by p(1).
5
Let n(d) = d - 1. Let l be n(1). Suppose m - 19 = -2*j, l = 4*m - 4*j + j - 32. What is the remainder when 30 is divided by m?
8
Let p be 0*(-2)/4 - 6. What is the remainder when 93/(-3)*(0 - 1) is divided by (p/4)/((-15)/160)?
15
Let g(v) = 2*v**2 - v - 6. Let h be g(6). Let a = 123 - h. Let d = a + -28. Calculate the remainder when d is divided by 12.
11
Suppose 0 = 4*r + z - 7, 0*r + 4*r = -2*z + 6. Suppose 8 = i + i. What is the remainder when r/(-3)*(-174)/i is divided by 15?
14
Suppose -2*s = -3*o + 94, -3*s = -s + 10. Let d = -1 - -11. What is the remainder when o is divided by d?
8
Let f(b) = -61*b**3 - 5*b - 4. Calculate the remainder when f(-1) is divided by 33.
29
Let x = -15 - -33. Calculate the remainder when 34 is divided by x.
16
Let t = 13 + 7. Suppose 6*b = b + t, -10 = o - 3*b. Calculate the remainder when o is divided by 2.
0
What is the remainder when 18 is divided by -6 - (3 - (6 + 16))?
5
Let k(d) = 25*d**2 - d - 1. Calculate the remainder when 45 is divided by k(1).
22
Suppose 3*v + 2*v = -5*a - 95, 2*v - 2*a = -26. Let l = v - -30. Suppose -r = -3*r + 52. What is the remainder when r is divided by l?
12
What is the remainder when 70 is divided by 3/((-1)/36*-3)?
34
Calculate the remainder when 6/2*-23*3/(-9) is divided by 6.
5
Let c = 8 - 2. Suppose -2*o + 59 = 1. Let z = -13 + o. What is the remainder when z is divided by c?
4
Let k(j) = 7*j + 8. What is the remainder when k(11) is divided by 29?
27
Let p(t) = 15*t**3 + 2*t**2 - 1. What is the remainder when (-5)/((-60)/(-8))*-93*1 is divided by p(1)?
14
Let d = 7 + 22. Calculate the remainder when d is divided by 10.
9
Suppose -12 = -l + 4*l. Let m(o) = 3*o + 2. Let r be m(l). Let g(n) = -3*n + 1. Calculate the remainder when g(r) is divided by 11.
9
Suppose -2*i + d + 32 + 21 = 0, -4*i - 3*d + 121 = 0. Calculate the remainder when 55 is divided by i.
27
Let n = 49 - 21. Suppose -3*i = 17 - 350. Calculate the remainder when i is divided by n.
27
What is the remainder when 11 is divided by (-18)/(-4) + 2/(-4)?
3
Let j = -7 - -8. Let g be (-59 + -1 - -2)/j. What is the remainder when 7 is divided by g/(-12) - (-3)/18?
2
Suppose -3*k = -u - 2*u + 3, -5*u - 5 = 5*k. Suppose u = 2*b - b - 14. What is the remainder when 40 is divided by b?
12
Suppose 0*u + 5*u = -5*p + 80, -18 = -3*u + 3*p. What is the remainder when 20 is divided by u?
9
Let x(a) = 3 - 11*a**3 + 5 - 4 - 3. Let g be x(-1). Let i = g + 2. What is the remainder when 39 is divided by i?
11
Let w = 2 + -2. Suppose z + 0 + 5 = w, -5*u - 2*z + 15 = 0. Suppose -k = u*f - 24, -3*f = -0*k + 3*k - 24. What is the remainder when 7 is divided by f?
3
Let l(w) = w**3 + 7*w**2 - w - 6. Let j be l(-7). Let p = j + 33. What is the remainder when p is divided by 12?
10
Suppose 2*j - 31 = -3*u, 3*j - 6 = -0*j. What is the remainder when u is divided by 4?
1
Let r(l) = l + 13. Let q = -20 + 13. Suppose 5*i - n = 108, -5*n + 3 = i - 3. Calculate the remainder when i is divided by r(q).
3
Suppose -4*d = -2*o - 82, d = -2*o - o + 3. Suppose -2*j - 17 = -5*b - 3*j, 0 = -3*b + 2*j + d. What is the remainder when 10 is divided by b?
2
Let d(b) = b**2 - b - 4. Let q be d(-4). Suppose 2*z + 2*z = -q. What is the remainder when (-2 - -4)/(z/(-54)) is divided by 14?
13
What is the remainder when (-172)/(-10)*(-50)/(-20) is divided by 9?
7
Let m = 2 - 7. Let v = m - -4. Calculate the remainder when 20 + v - 0/(-4) is divided by 10.
9
Suppose 0 = -3*a + 18 + 6. Suppose 2*h = -3*x + 7*h + 47, 0 = -x - h + 13. Calculate the remainder when x is divided by a.
6
Suppose -a + 74 = 48. What is the remainder when 101 is divided by a?
23
Suppose 5*l - t + 6*t = 5, 2*l - t = 8. Suppose 6*j = l*j + 24. Suppose 2*f - 15 = -3*h, 0 = -0*h - h - f + 6. What is the remainder when j is divided by h?
2
Let x = -61 - -154. Calculate the remainder when x is divided by 32.
29
Let n(q) = 13*q + 14. Let u be n(12). Let m be -2*(0 - 1) + 4. Suppose 0 = m*h - h - u. Calculate the remainder when h is divided by 18.
16
Let c = -2 + 14. Calculate the remainder when 32 is divided by c.
8
Suppose -5*a = 2*p - 43, -4*a = -16 + 4. Suppose 3*o = 2*o + 39. Calculate the remainder when o is divided by p.
11
Let t(m) = 3*m**2 + 5*m + 4. What is the remainder when 61 is divided by t(-4)?
29
Let f = 39 - 16. What is the remainder when f is divided by 15?
8
Let y be 2 + -2 + 3 + -14. Let d = 28 + y. What is the remainder when d is divided by 10?
7
Suppose -5*h + 42 = -43. Suppose -4*l + 15 = l, -h = -2*p + l. Calculate the remainder when 38 is divided by p.
8
Suppose -r = -1 - 2. Suppose r*d - 287 = -5*o, o + d = -d + 56. What is the remainder when o is divided by 20?
18
Suppose 0 = -4*k + 4 + 4. Let l = -7 - -10. Calculate the remainder when l is divided by k.
1
Let r = 2 + 0. Suppose 4*t + r = -y, -y = -4*y - 4*t + 18. Let o(w) = -w**3 + w**2 + 4*w + 4. What is the remainder when o(-3) is divided by y?
8
Suppose -3*v - 2*v + 209 = -3*b, -3*v = 5*b - 139. What is the remainder when v is divided by 11?
10
Let f = 175 - 116. Calculate the remainder when f is divided by 12.
11
Suppose i - 5*g - 19 = 2*i, -8 = 2*i + 4*g. Calculate the remainder when 22 is divided by i.
4
Suppose -4*a + 2*d + 126 = -222, -5*a + 448 = 4*d. What is the remainder when a is divided by 23?
19
Let r = 7 + 37. What is the remainder when r is divided by 9?
8
Let f = -27 + 45. Calculate the remainder when 1/4 + 283/4 is divided by f.
17
Let b(f) = 2*f - 5. Let m(r) = -6*r - 1. Let k be m(-1). Let a be b(k). Suppose a*w = 4*x - 27, -3*x + 57 = x + w. What is the remainder when x is divided by 7?
6
Suppose q + 4*q = 0. Suppose q = b + 2*a + 2, -5*a = -6*b + 4*b + 23. Calculate the remainder when 14 is divided by b.
2
Suppose 3*n - 44 = 4*d, 2*d - 18 = -2*n + 16. Suppose 12 + 24 = 6*f. What is the remainder when n is divided by f?
4
Let a(k) = -k**2 + 10*k - 1. What is the remainder when a(8) is divided by 9?
6
Let u(r) be the second derivative of r**5/20 - 5*r**4/12 - 3*r**2/2 + r. Let f = 132 - 123. What is the remainder when u(6) is divided by f?
6
Suppose 3*z - 16*z + 117 = 0. Calculate the remainder when 12 is divided by z.
3
Suppose -2*j + 83 = 3*z + 2*j, j + 48 = 2*z. What is the remainder when z is divided by 6?
1
What is the remainder when 1/(-3) - (-70)/3 is divided by 6?
5
Let l = 80 + -46. Let v(a) = -a + 6. What is the remainder when l is divided by v(-6)?
10
Let z = -11 + 21. Let d = -15 - -18. Suppose 4*u = 4*q + 12, -d*q + 24 = 5*u - 15. What is the remainder when z is divided by u?
4
Suppose -2*y + 31 + 4 = 5*v, 2*y - v = 5. Suppose 2*a + y = 27. Suppose -53 - 52 = -5*u - n, 3*n - 35 = -u. Calculate the remainder when u is divided by a.
9
Let m(f) = f**2 - 3*f - 1. Let p = -11 + 20. Calculate the remainder when m(6) is divided by p.
8
Suppose 3*c = 4*g - 55, -2*g + 0*c + 47 = 5*c. What is the remainder when 37 is divided by 1*g + 2 + 1?
18
Suppose -f - 109 = -4*j + 362, j + f - 119 = 0. What is the remainder when j is divided by 20?
18
Suppose 10 + 20 = 2*b. Calculate the remainder when 41 is divided by b.
11
Let x = -47 + 67. Suppose -2*k = -4*y + 16 - 0, -2*k - 6 = -2*y. Suppose -43 = -5*h + 2*w, -k*w = -3*h - h + 36. Calculate the remainder when x is divided by h.
6
Let h = -43 + 16. Let z = 35 + h. Calculate the remainder when 55 is divided by z.
7
Suppose -2*a - 1 - 85 = 0. Let x = -23 - a. Suppose j - 7 = -5*r, 2*j + 5*r - 17 = -3. Calculate the remainder when x is divided by j.
6
Let i = 97 + -78. What is the remainder when i is divided by 6?
1
Let c be 24/(-9)*36/(-16). What is the remainder when 9 is divided by (-3 + c)*8/6?
1
Suppose -2*r + 93 = -35. Suppose 5*a - w = r, -3*w = -a + 2*w + 32. Suppose -5*j - 55 = -225. Calculate the remainder when j is divided by a.
10
Let t(m) = m**2 + 14. Let a = 141 