 8. What is the remainder when u(q) is divided by 11?
9
Suppose 0 = -3*i + 3*j + 51, 3*i = -2*j + 7*j + 57. Let r(n) be the third derivative of 5*n**4/12 - 2*n**2. What is the remainder when r(4) is divided by i?
12
Let p(j) = -j**2 + 4*j - 1. Let d be p(6). Let t = 5 - d. Calculate the remainder when -104*(1*-2)/4 is divided by t.
16
Suppose -2*k = -4*l + 2*k + 56, 5*l = -5*k + 40. What is the remainder when (-182)/(-6) + 4/6 is divided by l?
9
Let f(t) be the second derivative of 5*t**4/12 - 2*t**3/3 + t**2/2 + 2*t. Calculate the remainder when f(3) is divided by 9.
7
Let c(r) = -3 + 3*r + 12 + 3 - 4*r. Let f be c(9). Calculate the remainder when 1 is divided by f*(3 - 16/6).
0
Suppose 0 = -i + 9. Let c(q) = q**3 + 5*q**2 + q + 1. Calculate the remainder when c(-3) is divided by i.
7
Let u = 36 - 73. Let d = -22 - u. Suppose -5*l + 32 + 48 = -2*b, -d = 3*b. Calculate the remainder when 40 is divided by l.
12
Let p = -85 + 108. Calculate the remainder when 135 is divided by p.
20
Suppose -70 = -2*c + c. Suppose c = 4*n - 18. Suppose 19 = -5*a + 79. What is the remainder when n is divided by a?
10
Let d be (4 + -3)*(4 + -1). Suppose -52 = -d*n - n. Calculate the remainder when 24 is divided by n.
11
Suppose 16 + 8 = 4*l. Let o(j) = 2*j + 3. Suppose 0*v + 5*v - 4*u - 224 = 0, -5*v + 3*u = -223. Calculate the remainder when v is divided by o(l).
14
Let q be 2*21/6 + -3. Suppose -h + 2*m + 11 = 2, -q*h + 16 = 2*m. Calculate the remainder when 17 is divided by h.
2
Suppose 5*h - u = 2*u + 60, -4*u + 65 = 3*h. Suppose -4*y = 43 - 159. What is the remainder when y is divided by h?
14
Let p = 9 - 6. Let q = p + 10. Suppose -3*r + 2*y = -q, 0 = -0*r + 4*r + 4*y - 4. Calculate the remainder when 5 is divided by r.
2
Suppose -3*t = -j - 160, -4*t = -2*t + 4*j - 130. Calculate the remainder when t is divided by 14.
13
Let z = 18 + 15. Let i = -14 + z. Calculate the remainder when i is divided by 7.
5
Let d = 73 - 54. What is the remainder when 170 is divided by d?
18
Suppose 6*i - 2*i + 8 = 0. Let y(v) = -5*v**3 - 3*v**2. Suppose 4*b - 36 = 4. Calculate the remainder when y(i) is divided by b.
8
Let a = -19 - -34. Suppose j - 15 = a. Calculate the remainder when j is divided by 11.
8
Let a be (-7)/(-1)*4/(-2). Let l = -4 - a. What is the remainder when l is divided by 3?
1
Let c(o) = 2*o**2 - 11*o + 15. Calculate the remainder when 124 is divided by c(6).
19
Let s be 3/(-9) - 668/(-6). Suppose 0 = -2*c + j + 40, -31 + s = 4*c + j. What is the remainder when c is divided by 7?
6
Suppose 3*r = 6, -2*r = -5*z + 85 - 14. Calculate the remainder when 68 is divided by z.
8
Let q = 28 + -16. Calculate the remainder when 34 is divided by q.
10
Let d(k) = -26*k**3 + 2*k + 1. Let j = 3 - 4. Calculate the remainder when d(j) is divided by 14.
11
Let a = -9 + 50. Calculate the remainder when 161 is divided by a.
38
Calculate the remainder when (-3)/9 - 190/(-3) is divided by 81/5 - ((-35)/25)/(-7).
15
Calculate the remainder when 31 is divided by ((-44)/(-14))/((-8)/(-28)).
9
Suppose 3*d - 4*d + 38 = 0. Let s = -22 + 35. What is the remainder when d is divided by s?
12
What is the remainder when (20*(6 + -4)*1)/1 is divided by 12?
4
Let c be 1 + (-2 - -18) - -1. Let t be 2/(3*3/c). Suppose -t*o - o + 20 = 0. What is the remainder when 10 is divided by o?
2
Let l be 50/15 - 4/(-6). Suppose 0 = l*f - 9*f - 5*t + 20, -4*t - 40 = -4*f. Calculate the remainder when f is divided by 5.
2
Let b(y) = y**3 - 12*y**2 + 16*y - 11. What is the remainder when b(11) is divided by 15?
14
Suppose h + h = -76. Let s = -21 - h. What is the remainder when 31 is divided by s?
14
Suppose -3*k - 51 = -a, -4*a + 6*a - 4*k - 112 = 0. What is the remainder when a is divided by 17?
15
Suppose -4*k + 115 = -185. Calculate the remainder when k is divided by 11.
9
Let d be (36/(-16))/((-2)/(-8)). Let t = d + 26. Calculate the remainder when (9 + -2)/((-2)/(-14)) is divided by t.
15
Let a(x) = x - 1. Calculate the remainder when 24 is divided by a(11).
4
Suppose -a = -97 + 71. What is the remainder when 101 is divided by a?
23
Let c(b) = -b**2 - b + 30. Let u be c(0). Suppose -3*y = -2*y - u. What is the remainder when y is divided by 11?
8
Let d(h) = 26*h - 5. Let l(g) = -g + 1. Let c(u) = -d(u) - 4*l(u). What is the remainder when c(-2) is divided by (1 - 2)*-12*1?
9
Let a(t) be the first derivative of 3*t**2/2 - 4*t - 1. What is the remainder when 30 is divided by a(4)?
6
Let o(s) be the second derivative of s**3/3 - 3*s**2/2 + 6*s. What is the remainder when 26 is divided by o(5)?
5
Suppose 0 = 5*v + 3*l - 88, 5*v + 4*l = -46 + 130. Calculate the remainder when 58 is divided by v.
18
Let j(z) be the second derivative of z**4/12 - z**3/6 + 9*z**2/2 + z. Calculate the remainder when 24 is divided by j(0).
6
Let m = 0 - -13. Let u = m + -7. Let p = -4 + u. What is the remainder when 4 is divided by p?
0
Let n = -67 - -31. Let t(z) = -83*z - 1. Let s be t(-1). Let i = s + n. Calculate the remainder when i is divided by 16.
14
Let x(m) = -m**3 - 5*m**2 + 4*m - 4. Let c be x(-6). Suppose 2*p + c = -2. Let d(r) = -2*r - 5. Calculate the remainder when d(p) is divided by 3.
2
Let x = 123 + -51. Suppose 0*q + 2*t - x = -2*q, -t = 5*q - 168. What is the remainder when q is divided by 9?
6
Suppose -3*y = -0*k + k, -3*k + 5*y = -28. What is the remainder when (2/(-2))/(1/(-23)) is divided by k?
5
Suppose 0 = -r + n + 31, -3*n = -3*r + 2*n + 101. Calculate the remainder when 49 is divided by r.
22
Calculate the remainder when 15/(-3) + 2 - -2*7 is divided by 8.
3
Let d = 64 - 27. Let y(k) = -k + 2. Let i be y(0). Suppose s = i*r + 13, -5*r + 2*r + 65 = 5*s. Calculate the remainder when d is divided by s.
11
Suppose -2*k + 6 = 0, -u + 3*u + 5 = 3*k. Let x(n) = n**2 - n - 2. Let p be x(u). Suppose p = -3*d + 7*d - 80. What is the remainder when d is divided by 7?
6
Suppose 0 = 2*x - x - 22. Suppose -24 = -5*u + 16. What is the remainder when x is divided by u?
6
Let m(g) = -g - 7. Let r be m(-9). Suppose -3*y = -r*y - 35. Calculate the remainder when y is divided by 12.
11
Calculate the remainder when 2/(-4) - (-27)/2 is divided by 1 - 3/(-6)*6.
1
Suppose -4*d = d - 10. What is the remainder when 0 - ((-1)/1 - d) is divided by (-3 + 2)/(-1)*2?
1
Let u(i) = -i**3 + 5*i**2 + 7. Calculate the remainder when 13 is divided by u(5).
6
Let v = 4 - 1. Suppose 3*c + 0*c - 12 = 0. Let r = 6 - c. What is the remainder when v is divided by r?
1
Let r(t) = 2*t - 2. Let c be r(-5). Suppose -2*u - z + 49 = 0, 0 = -z + 3 - 0. Let a = c + u. Calculate the remainder when 20 is divided by a.
9
Suppose 14*a - 631 = 125. Calculate the remainder when a is divided by 17.
3
Let o(i) = 2*i + 4. Let j be o(3). Suppose 0 = 5*m, -2*d + m = -14 - j. Let l(z) = 21*z**3 + z**2. What is the remainder when l(1) is divided by d?
10
Let r(f) be the first derivative of 2*f**3/3 + 3*f**2 - 5*f + 9. What is the remainder when r(3) is divided by 17?
14
Let g = 11 + -4. Calculate the remainder when 17 is divided by g.
3
Let l(z) = 2*z**2 + z + 56. Suppose 9*w - 95 = 4*w. What is the remainder when l(0) is divided by w?
18
What is the remainder when 32 is divided by 1/(-4 + (-93)/(-23))?
9
Suppose 0 = 3*b - 0*b - 27. What is the remainder when 30 is divided by b?
3
Let c(n) = -5*n. Let p be c(1). What is the remainder when 21 is divided by (-4)/(-10) + (-38)/p?
5
Suppose 3*g + 7 = 148. What is the remainder when g is divided by 10?
7
Suppose -4*u + 204 = -172. What is the remainder when u is divided by 32?
30
Let f = 1 + 18. What is the remainder when f is divided by 4?
3
Let l(c) = -2*c + 4. Suppose -2*n = -5 + 1. Calculate the remainder when n - -27 - (3 + 0) is divided by l(-5).
12
Let d = 0 + -6. What is the remainder when 58 - 1 - (d + 8) is divided by 19?
17
Let b(u) = -2*u**2 - 4*u + 3. Let k(j) = -2*j**2 - 5*j + 4. Let n(x) = -6*b(x) + 5*k(x). What is the remainder when n(3) is divided by 7?
3
Let p = -17 + 38. Let h be (60/9)/(-2)*3. Let o = 1 - h. What is the remainder when p is divided by o?
10
Let v(k) = 18*k**2 + 136*k - 7. Suppose -4*f + 5*x + 68 = 0, -2*x + 3*x - 32 = -3*f. What is the remainder when v(-8) is divided by f?
9
Let g(m) = -m - 1. Let o be g(-6). Suppose o*z - 2*z - 15 = -d, 3*z - 24 = -4*d. Calculate the remainder