Calculate the remainder when j is divided by 6.
3
Let h(x) = x**2 + 10*x + 21. Calculate the remainder when 186/8 + (-1)/4 is divided by h(-9).
11
Calculate the remainder when ((-6)/(-18))/((-3)/(-243)) is divided by 14.
13
Let u = 40 - 7. Suppose 7*o - 2*f = 2*o + u, -2*f = -o + 5. Calculate the remainder when 13 is divided by o.
6
Suppose -3*i - 18 = 4*a - 67, -3*a = 2*i - 34. Let q be 92/(-12) - 2/6. Let b(y) = y**2 + 4*y - 11. What is the remainder when b(q) is divided by i?
10
Let o be (-73)/5 - (-4)/(-10). Let l = 31 + o. Calculate the remainder when l is divided by 9.
7
Let c = 11 - 15. Let w(z) = -40*z + 4. Let i(x) = 8*x - 1. Let l(j) = -11*i(j) - 2*w(j). Calculate the remainder when l(c) is divided by 12.
11
Suppose -14*v = -13*v - 71. What is the remainder when v is divided by 8?
7
Suppose 0 = 2*h - 0 - 118. Calculate the remainder when h is divided by 15.
14
Let x(y) = y - 1. Let k(r) = 4*r**2 + r - 3. Let w be k(-2). What is the remainder when 19 is divided by x(w)?
9
Suppose 5*u = z - 18, 3*z + 0*u + u = 22. Calculate the remainder when 36 is divided by z.
4
Let t(i) = 2*i**2 - 4*i - 1. Let n be t(3). Suppose 16 = n*s - 44. Suppose s = 3*j - 12. What is the remainder when j is divided by 5?
3
Let z be (-1)/((-1*2)/2). Let m(d) = d**3 - 40*d**2 + 40*d - 33. What is the remainder when (-3)/z*11/(-3) is divided by m(39)?
5
Suppose -5*p = -p + 476. Let i = 184 + p. Suppose -5*j + 5 = -i. What is the remainder when 40 is divided by j?
12
Let j(p) = -5*p + 4. Calculate the remainder when ((-213)/(-9))/(1/3) is divided by j(-4).
23
Let j(m) = -m**2 + 10*m + 3. Let v be j(8). Let o(h) = -h**3 - 6*h**2 - 4*h + 1. Let x be o(-5). What is the remainder when 4/2 + x + v is divided by 6?
5
Let l = -143 + 170. What is the remainder when 128 is divided by l?
20
Calculate the remainder when 34 is divided by 1*(-1 - -14) + -4.
7
Suppose 5*c + 1 = 6. Let o(f) = -f**2 + 11*f - 7. Calculate the remainder when (c - 2)*(-30 + -1) is divided by o(9).
9
Suppose 0 - 86 = 2*d. Let b = -30 - d. Calculate the remainder when b is divided by 7.
6
Calculate the remainder when 53 is divided by (-45)/(-4) + (-6)/24.
9
Suppose -20 = -4*w + 3*f, 4*w - f - 20 = 4*f. Let d = 17 - 5. What is the remainder when d is divided by w?
2
Suppose -5*p + 115 = -0*p. What is the remainder when p is divided by 6?
5
Let b(n) = n**3 - 9*n**2 - 8*n + 3. Suppose 3*s + 73 = 205. What is the remainder when s is divided by b(10)?
21
Let l(v) = v**2 - 3*v - 1. What is the remainder when 31 is divided by l(-3)?
14
Suppose -c = -5*s + 24, 2*s + 0*s + 3*c + 4 = 0. Suppose -2*k = u + 2*u + 3, 0 = k + s*u + 9. Calculate the remainder when 3 is divided by k.
0
Suppose 0 = -3*p + 5*y + 23, -3*y = 4*p + y - 52. Calculate the remainder when 21 is divided by p.
10
Suppose 2*o - 2*t - 136 = 0, -5*o + 0*t + t + 324 = 0. What is the remainder when o is divided by 17?
13
Suppose -117 + 37 = -4*r. Suppose 3*i + r = 5*i - v, 3*v = 3*i - 36. Calculate the remainder when 14 is divided by i.
6
Suppose 2*c - 3*c = -4, 4*c = a + 3. Suppose 4*x + 0 = 4. Let q = x - -24. What is the remainder when q is divided by a?
12
Let j(b) be the third derivative of -b**4/24 + 3*b**3/2 + 2*b**2. Let t(w) = w + 14. Let h be t(-6). What is the remainder when j(h) is divided by 1?
0
Suppose 0 = -3*s - 2*s + 2*u + 166, s - 44 = 4*u. Let b = 0 - -11. What is the remainder when s is divided by b?
10
Let q(v) = v + 1. Calculate the remainder when 26 is divided by q(6).
5
Suppose 5*g - 2*l = 695, -124 = -2*g + 4*l + 170. What is the remainder when g is divided by 14?
11
Let d = -12 - -20. Let v(b) = b**2 - 6*b + 2. Calculate the remainder when 51 is divided by v(d).
15
Calculate the remainder when 118 is divided by (-200)/15*9/(-6).
18
Suppose f = 6*f + 5, 4*a - 2*f - 18 = 0. Suppose 16 = i + b - 2, -a*i + 2*b = -90. What is the remainder when 62 is divided by i?
20
Let w(v) = -v**2 + 12*v - 28. What is the remainder when 9 is divided by w(8)?
1
Let o(f) = 2*f**2 - 2*f. Suppose 0 = g - 5. Calculate the remainder when o(3) is divided by g.
2
Suppose -9*j + 23*j = 168. Calculate the remainder when 59 is divided by j.
11
Let i = 4 - 2. Suppose f - i = 4*u, 2*u + 16 = -f - 3*u. Calculate the remainder when 41 is divided by (-4)/f*(0 + 21).
13
Suppose 4*p + 5*o = 11 + 49, 4*p - 60 = -4*o. Calculate the remainder when 87 is divided by p.
12
Calculate the remainder when 354/12*(-1 + 3) is divided by 15.
14
Suppose 0*r - 4*r = -72. What is the remainder when 69 is divided by r?
15
Suppose 2*l - 4*r - 70 = 0, -5*r - 79 - 27 = -3*l. What is the remainder when 108 is divided by l?
34
Let z(u) = 2*u + 15. What is the remainder when z(0) is divided by 6?
3
Let u = 16 - 3. Suppose l - 3*k = -u, -2*l + 5*k - 28 = -7. Calculate the remainder when -4*l/12*-30 is divided by 11.
9
Let k be (-4)/(-2) - (149 - 3). What is the remainder when 14 is divided by (1/2)/((-9)/k)?
6
Let a(u) = u**2 - 7*u - 7. Let x be a(6). Let l = x - -21. What is the remainder when 22 is divided by l?
6
Let q be 182 + -6 + 3*1. Let u = -3 - -8. Suppose q = u*d - t, 3*t - 1 = 2*t. Calculate the remainder when d is divided by 19.
17
Suppose -10 = w - 43. Calculate the remainder when 129 is divided by w.
30
Suppose -v + 13 + 50 = 0. What is the remainder when v is divided by 13?
11
Suppose 0 = 3*u - 5*u + 14. Calculate the remainder when u is divided by 2.
1
Suppose 0 = -3*o - 2*n + 30, -10 = -2*o - 5*n + 10. Calculate the remainder when 29 is divided by o.
9
Let m = 164 + -150. What is the remainder when 97 is divided by m?
13
Let v(q) = -q**2 - 6*q - 2. Let w be v(-5). What is the remainder when (w + 4)*1 + -2 is divided by 4?
1
Suppose -13 = -5*u + 4*o, -4*u = -8*u - 3*o + 29. Let r = 19 - u. What is the remainder when 55 is divided by r?
13
Let b = -18 + 30. Let p = b + -3. What is the remainder when p is divided by (6 - 2) + (7 - 6)?
4
Suppose -488 = -5*o + 22. What is the remainder when o is divided by 35?
32
Suppose -3*z = -2*j + 23, -5*z + j - 41 + 5 = 0. Let o = 13 + z. Suppose 5*p - 18 = 32. What is the remainder when p is divided by o?
4
Suppose z + 1 = 6. Suppose z*w + 26 = 106. Suppose -201 = -5*a + 29. What is the remainder when a is divided by w?
14
Suppose -p - 6 = -0. Let y(b) = 2*b**2 + 6*b - 11. What is the remainder when y(p) is divided by 14?
11
Suppose 6*d - 1800 = -4*d. What is the remainder when d is divided by 61?
58
Calculate the remainder when 3 + 3 + 5*10 is divided by 19.
18
Suppose 0 = -2*h + 7 - 3. Suppose 3*p + 4*l - 34 = 0, -34 = -2*p + h*l + l. What is the remainder when p is divided by 2/(-9) - 94/(-18)?
4
Let a be (2 + (-98)/8)*-20. Suppose -3*r - 2*j = -29 - 98, -5*j + a = 5*r. Suppose 7*y = 2*y + r. What is the remainder when 25 is divided by y?
7
Let k(j) = -j**2 - 7*j. Let s(m) = m**2 - 7. Let b be s(0). Let z be k(b). What is the remainder when 53 is divided by 21 + 3/(z + -1)?
17
Let h be 42/9 + (-1)/(-3). Suppose -h*d + 105 = -2*d. Calculate the remainder when d is divided by 12.
11
Let v(o) = 2*o**2 + 3*o - 1. Let n = 8 + -5. Let b be v(n). Suppose -b = -2*f - 6. Calculate the remainder when f is divided by 4.
2
Let z be 5/((-10)/6) + -2. Let d(h) = -h**2 - 7*h + 1. Calculate the remainder when 53 is divided by d(z).
9
Suppose -z + 6*t + 44 = t, 4*t = -4*z + 56. Let i = 175 - 102. What is the remainder when i is divided by z?
16
Let b(h) = h**2 - 5*h + 6. Calculate the remainder when b(4) is divided by 2.
0
Let k = 21 + 34. What is the remainder when k is divided by 14?
13
Let k = 200 + -140. Calculate the remainder when k is divided by 21.
18
Let p(s) = s**2 + 11*s - 8. Let z be p(-12). Suppose -3*h = -c - 3, -z*c + 3*h + 2*h + 9 = 0. What is the remainder when 23 is divided by c?
5
Let j = 9 + 10. Calculate the remainder when 70 is divided by j.
13
Let i(l) = -6*l - 1. Let y(r) be the third derivative of r**5/5 + r**3/6 + 4*r**2. What is the remainder when y(-1) is divided by i(-1)?
3
Let q(s) = 4*s - 19. Calculate the remainder when 37 is divided by q(8).
11
Suppose 9*o - 441 = 2*o. Calculate the remainder when o is divided by 33.
30
Let h = 6 - -9. Suppose -3*d + o = -66, 0 = 3*o - 0*o - 9. Suppose -4*k = d - 55. What is the remainder when h is divided by k?
7
Let f = -168 - -280. What is the remainder when f is divided b