Let m = -21 - -34. Calculate the remainder when 64 is divided by m.
12
Suppose 116 + 1 = 5*r + 3*v, -r = -v - 17. Calculate the remainder when 80 is divided by r.
17
Let w(q) = 3*q**2 + 0*q + q + 3*q. Suppose 2*r = 4*r + 6. What is the remainder when w(r) is divided by 8?
7
Let l(v) = -v. Let c(i) = 7*i + 1. Let b(o) = c(o) - 3*l(o). Calculate the remainder when 42 is divided by b(1).
9
Let y(x) = 99*x**3 - 2*x**2 + x. Calculate the remainder when y(1) is divided by 10.
8
Calculate the remainder when 31 is divided by 3/(-1) + 17 + -3.
9
Suppose 0 = -2*w + 24 - 4. Suppose 40*j - 37*j - 51 = 0. What is the remainder when j is divided by w?
7
Let i(x) = 12*x - 4. Calculate the remainder when 78 is divided by i(2).
18
Let x(g) be the third derivative of g**4/12 + g**3/3 + 4*g**2. Let v be x(-2). Calculate the remainder when 4 is divided by (2 - -2)*v/(-4).
0
Suppose 0 = 5*i - 304 + 79. Suppose 5*b = 5*u - 95, 2*b - 3*b - 3 = 0. Calculate the remainder when i is divided by u.
13
Suppose -3*t = m + 20, -22 - 14 = 5*t + 3*m. Let h = 16 + -7. Let f = t + h. What is the remainder when 6 is divided by f?
0
Suppose 0 = -2*w + 1 + 1. Let k(b) = 16*b**2 - b. Calculate the remainder when 73 is divided by k(w).
13
Let b = 88 - 43. Calculate the remainder when 88 is divided by b.
43
Suppose -7 = -4*s + 1. What is the remainder when 3 is divided by s?
1
Let g = 37 - 9. Let i(l) = -l**2 - 9*l - 10. What is the remainder when g is divided by i(-5)?
8
Let j be (2 - 5)*(-10)/3. Suppose -4*h + 73 = 5*p, 2*h + j - 53 = -3*p. Calculate the remainder when p is divided by 7.
6
Let u be -6 - -18 - 2/(-1). Calculate the remainder when 22 is divided by (-6)/2 + 1 + u.
10
Let b(q) = -q. Let p(r) = r**2 - r + 7. Let l(h) = 4*b(h) + p(h). What is the remainder when l(8) is divided by 16?
15
Suppose 0 = 6*r - 2*r - 44. Suppose 2*k = 2*x - k - 35, 0 = -5*x + 5*k + 90. Calculate the remainder when x is divided by r.
8
Let v(l) = 10*l - 10. What is the remainder when 89 is divided by v(4)?
29
Suppose 0 = -v + 5*q + 50, -5*q + 0*q = v. Calculate the remainder when v is divided by 9.
7
Let j(a) = -a + 2. Calculate the remainder when j(-3) is divided by 2.
1
Suppose -3*j + 95 = d + d, -3*d - 59 = -2*j. What is the remainder when j is divided by 4/1*(-9 + 11)?
7
Let k(m) = m**2 + m + 9. Calculate the remainder when 35 is divided by k(0).
8
Suppose 89*t - 91*t = -174. Calculate the remainder when t is divided by 15.
12
Let l = 13 - 9. Let f(z) = z - 4 - z - z. What is the remainder when l is divided by f(-7)?
1
Suppose -2 = 4*p - 22. Suppose p*s - 27 = 4*s. What is the remainder when s is divided by 14?
13
Let l(v) be the third derivative of -v**4/6 + v**3/6 + 5*v**2. What is the remainder when (-20)/3*36/(-10) is divided by l(-3)?
11
Let i(s) = 2*s**2 - 2*s - 2. What is the remainder when i(-2) is divided by 3?
1
Let d = 763 - 538. Suppose -10*q + d = -7*q. What is the remainder when q is divided by 19?
18
Let f(g) = -g + 8. Let a be f(5). Suppose -a*n + 101 - 2 = 0. Calculate the remainder when n is divided by 9.
6
Suppose -f - t = 2*f - 31, -5*t = -4*f + 35. What is the remainder when 38 is divided by f?
8
Let h = 0 + 9. Calculate the remainder when 16 is divided by h.
7
What is the remainder when 54 is divided by 15/6*(-56)/(-10)?
12
Suppose 5*l + 3*d - 53 = 0, -2*l + 4*l - d - 19 = 0. Let w = 8 - 2. Calculate the remainder when l is divided by w.
4
Suppose i = 31 + 3. Suppose -r - 2*r - 12 = -3*q, -i = -4*q - 5*r. What is the remainder when 10 is divided by q?
4
Let p = 52 - 42. Calculate the remainder when 18 is divided by p.
8
Let s = 0 - -51. Calculate the remainder when s is divided by -1*(0 - (-5)/5)*-13.
12
Suppose -2*r - 57 = -149. Calculate the remainder when r is divided by 10.
6
Let a(q) = -q**3 - 4*q**2 - 5*q. Let r = 4 + -8. Calculate the remainder when a(r) is divided by 7.
6
Let y = -11 + 16. Calculate the remainder when 15 is divided by y.
0
Let b(f) = 5*f - 37. Calculate the remainder when b(15) is divided by 7.
3
Let l(m) = -m + 1. Let b(g) = -g + 1. Let v(r) = 3*b(r) - 5*l(r). What is the remainder when 29 is divided by v(5)?
5
Let f(t) = t**2 + 6*t + 1. Let s = -24 + 11. Let g = s - -14. What is the remainder when g is divided by f(-6)?
0
Let n = -6 - 5. Let m = 23 + n. What is the remainder when m is divided by 3?
0
Let h = 18 - 12. What is the remainder when h is divided by 5?
1
Suppose -5*b = 2*p - 59, 4*p - 4*b - 23 = 25. What is the remainder when 48 is divided by p?
14
Suppose -4*j = j - 80. Let x = 34 - j. What is the remainder when x is divided by 10?
8
Let d = -19 + 21. Suppose d*g = 3*g - 29. What is the remainder when g is divided by 10?
9
Suppose 2*n = 5*v + 5*n - 187, 0 = -3*n - 3. Suppose -v = -5*o + 52. Calculate the remainder when 35 is divided by o.
17
Let x = -2 - -29. Let m = 21 + -11. Calculate the remainder when x is divided by m.
7
Let u be 4*1/(-2) + -16. Let t = -9 - u. What is the remainder when 15 is divided by t?
6
Let y(r) = -2*r + 50. Suppose -66 = -2*f - f. What is the remainder when f is divided by y(21)?
6
Suppose -4*v + 5*w + 349 = 0, 4*w - 118 - 258 = -4*v. Let p = -65 + v. Calculate the remainder when p is divided by 9.
8
Let a(y) = -5*y**2 - 8*y + 0*y**2 + 1 - 2*y**2 + 6*y**2. What is the remainder when (3 - -49) + (-2)/1 is divided by a(-4)?
16
Let j(c) = -c**2 + 5*c + 11. Calculate the remainder when j(5) is divided by 7.
4
Let a be 8 + -5 - (-9)/(-3). Suppose a = o - 43 - 2. Suppose 56 = 5*u + q, 3*q - q = -3*u + 28. Calculate the remainder when o is divided by u.
9
Suppose -5*h = -3*s - 3, 3*s + 5*h - 31 = -s. What is the remainder when 111*-1*1/(-3) is divided by (-9 - 6)*s/(-6)?
7
Let r = -981 - -983. Let i(c) = -3*c - 1. Let j be i(-2). Let b = -2 + j. Calculate the remainder when b is divided by r.
1
Let c be (24/(-14))/(14/(-392)). Let k be 1*(3 + 1*-2). What is the remainder when 21/(-7) + c/k is divided by 12?
9
Suppose 0 = 3*u - 8*u + 180. Suppose -5*a - 3*f + 52 = 0, -a + 3*a - u = -5*f. What is the remainder when 21 is divided by a?
5
Let w(i) = -2*i + 3. What is the remainder when 23 is divided by w(-2)?
2
Suppose -2*f = -3*f + 17. Calculate the remainder when (6 - -2)/((-2)/8*-1) is divided by f.
15
Let j = 6 - 6. What is the remainder when (j + 2)*-1 + 11 is divided by (-18)/15*(-10)/4?
0
Suppose 0 = -g + 3*n + 7, 3*n = 4*g + 7*n - 60. Let i = 1 - -2. Suppose 16 = 3*a - b, 4*a - i*b - 9 = 4. Calculate the remainder when g is divided by a.
6
Suppose 3*b - 5*b + 28 = -2*u, 0 = -5*b + 4*u + 70. What is the remainder when b is divided by 4?
2
Suppose 17*y = -3*a + 12*y + 52, 81 = 4*a - 5*y. What is the remainder when a is divided by 14?
5
Suppose 0 = -4*g + g + 12. Suppose 0 = 2*v + g. What is the remainder when 1 + 9 + v + 4 is divided by 7?
5
Suppose j - 10 = 21. What is the remainder when j is divided by 4/7 - -1*(-52)/(-7)?
7
Let v(k) = k**3 - 3*k**2 - k - 2. Suppose c + 0 - 4 = 0. Calculate the remainder when v(c) is divided by 3.
1
Calculate the remainder when 43 is divided by (22 - (5 - 3)) + 3.
20
Calculate the remainder when ((-11)/(-33))/((-1)/(-60)) is divided by 12.
8
Suppose -4*t = -2*t + 5*u + 1, -3*t + 12 = 3*u. Let w(k) = k**2 - 7*k - 7. Let g be w(t). Calculate the remainder when 35 is divided by (-82)/g - (-4)/14.
11
Suppose 0 = 2*n - 3*n + 52. Calculate the remainder when n is divided by 11.
8
Suppose 2*k = -3*b - 23, -4*k + b + 0 - 11 = 0. Let u be -1 - (7/(-1) + -1). Let j = u + k. Calculate the remainder when 7 is divided by j.
1
Let z(w) = 3*w**2 + 7*w + 45. What is the remainder when z(-6) is divided by 13?
7
Let t(q) = -29*q + 1. Let x be t(2). Suppose 282 = 3*o - 0*o. Let g = x + o. Calculate the remainder when g is divided by 13.
11
Let s(h) = 8*h + 4. Let r be s(3). What is the remainder when 410/14 + (-8)/r is divided by 8?
5
Let b(o) = 3*o**2 + o + 1. Let s be 2/6*(2 - 5). Calculate the remainder when b(s) is divided by 3.
0
Let g be 2/4*10 + 3. Suppose 5*f - g = 42. What is the remainder when 38 is divided by f?
8
Suppose -5*u + 3 - 63 = 0. Let n = -23 - u. Let j = n + 17. What is the remainder when 16 is divided by j?
4
Suppose -3*h + 64 = 3*g - 68, -g - 2*h + 43 = 0. Let t = 76 - g. What is the remainder when t is divided by 11?
9
Suppose 4*d - 2 - 91 = 5*w, -2*d = -2*w - 46