j + 8. Let u(b) = 13*b**2 + 39*b - 11. Let z(n) = -5*u(n) - 7*y(n). Let k = -19 - -13. What is the remainder when 17 is divided by z(k)?
2
Suppose -90 = -5*f - b + 14, 4*b - 16 = 0. Suppose 4161 = 8*g + 65*g. What is the remainder when g is divided by f?
17
Let x(h) = 2*h**2 - 42*h + 54. Calculate the remainder when x(22) is divided by 25.
23
Calculate the remainder when 448 is divided by -497*(12/(-48) - 2/56).
22
Let b be -6*(2/(-4) + -1). Let l(t) be the first derivative of -t**4/4 + 10*t**3/3 - 9*t**2/2 + 9*t + 131. Calculate the remainder when 24 is divided by l(b).
6
Suppose -163 = -2*m - 2*s - 3*s, 4*m = -2*s + 334. Suppose 2*u + m = -2*u. What is the remainder when (1*15)/(u/(-154)) is divided by 28?
26
Let v be ((-25)/(-3))/((-19)/57). What is the remainder when v/(-5) - -163 - 3 is divided by 28?
25
Let s(j) = -47*j - 187. Calculate the remainder when s(-8) is divided by 96.
93
Let d(w) = -w**3 + 14*w**2 - 13*w - 7. Let j be d(13). Let m = -19 - j. Calculate the remainder when 2/m - (-3550)/60 is divided by 15.
14
Let x(z) = 2*z**2 - 4*z + 5. Suppose f + 0*f + 4*n = -8, -2*f - 2*n = -2. What is the remainder when 381/(-254) - 162/(-4) is divided by x(f)?
18
Let f be ((-4)/(-10))/(1/(-5)). Let u(i) = 3*i**2 + 3*i + 2. Calculate the remainder when 20*1 + 2 + (-4 - -5) is divided by u(f).
7
Let y(w) = 15 - 6 - 1 - 10*w. What is the remainder when y(-4) is divided by 10?
8
Let p be (-78)/(-7) - (-6)/(-42). Calculate the remainder when 46/4*(p + -9) is divided by 9.
5
Suppose 4 = -4*g - 20. Let r be (80/(-12))/(4/g). Suppose 2*d - 58 = r. Calculate the remainder when 133 is divided by d.
31
Let z be ((-2)/6)/((-2)/186). Suppose 19 = j - t, -29 - z = -5*j - 2*t. Calculate the remainder when 36 is divided by j.
8
Suppose 38 = -3*t + 5*t. Let m = t + 2. Let b = -206 - -331. Calculate the remainder when b is divided by m.
20
Suppose -33*z + 30*z = -126. Suppose a = -3*g + z, -15 = 5*g + 5*a - 85. Calculate the remainder when g is divided by 5.
4
Let v = -2 + -1. Calculate the remainder when 14/v*(1 - 10) is divided by -15*(-3)/(4 + (4 - 5)).
12
Suppose 10*o = 245 + 75. Calculate the remainder when 49 is divided by o.
17
Let o = -58 - -62. Suppose 0 = o*d - 0*d - 64. What is the remainder when d is divided by 12?
4
Suppose 4 = n - 0. Suppose f - 92 = -5*a, -a - n*a + 5*f + 110 = 0. Let d(t) = t**2 - 3*t - 7. Calculate the remainder when a is divided by d(-3).
8
Suppose 0 = q + 5*o - 52, 11*q - 6*q - 370 = -3*o. Calculate the remainder when q is divided by 39.
38
Suppose -5*g = -3*s - 46, 5*s - 7*s = 2*g - 28. Calculate the remainder when 395 is divided by g.
10
Suppose 2*k = 0, b + k = 2*k - 11. Let h(y) = y**3 + 11*y**2 - y + 1. What is the remainder when 43 is divided by h(b)?
7
Let s(j) = -2*j + 13. Let h(q) = 16*q - 104. Let m(x) = 6*h(x) + 51*s(x). What is the remainder when m(-5) is divided by 18?
15
Suppose 4*y = -15*y + 1007. What is the remainder when y is divided by 11?
9
Suppose 21 = 3*s + 2*d, s + 0*d = 5*d - 10. Suppose -2*c = -41 - s. Calculate the remainder when 66 is divided by c.
20
Suppose -2*m + 130 = 5*c, 101 = 3*c + 4*m + 9. Let w(h) = -h**2 - 36*h - 109. What is the remainder when w(-29) is divided by c?
22
Let t = 3 - 0. Suppose -t*o + 54 = -3*a, 2*o + 0*a - 54 = -4*a. Let c = 2261 - 2199. Calculate the remainder when c is divided by o.
20
Let b(t) = t**2 + 3*t - 6. Let c(i) = -620*i + 4627. What is the remainder when c(7) is divided by b(6)?
47
Suppose -2496 = 206*w - 222*w. What is the remainder when w is divided by 29?
11
Suppose 238 = 3*x - 4*w + 16, 0 = 4*x + 2*w - 296. Calculate the remainder when x is divided by 38.
36
Suppose 3*b = -5*n + 6, -4*b + 3 = -2*n + 21. Let r be ((-13)/3)/(b/(-9)). Let i = -4 - r. What is the remainder when i is divided by 5?
4
Let b(y) = 35*y**2 + 3*y - 3. What is the remainder when b(1) is divided by 4?
3
Let c = 8 + -3. Let k be ((-8)/22)/(38/(-209)). Suppose 5*h + 40 = 5*q - 0*h, 0 = k*q + c*h - 16. Calculate the remainder when 23 is divided by q.
7
Let k(a) = a**3 + 6*a**2 - 6*a - 2. Let x be (-2)/3 - (-16)/(-3). What is the remainder when k(x) is divided by -2 + (-8)/(48/(-90))?
8
Calculate the remainder when 298 is divided by ((-392)/(-42) - 11)/((-5)/36).
10
Suppose -2*y - 3 = 47. Let j = y + 30. Calculate the remainder when 15 is divided by j.
0
Suppose 2*m + 19 - 71 = -4*n, 54 = 4*n + m. What is the remainder when 895 is divided by n?
13
Suppose -3*b + 96 = -45. Suppose 5*f - b = 2*f - 5*l, -20 = 4*l. Calculate the remainder when 118 is divided by f.
22
Let k(a) = -a + 145. Let g be k(0). Suppose 0 = -5*o + 3*f + 145, -5*o - f + g = -5*f. What is the remainder when o is divided by (-17)/102 + 182/12?
14
Calculate the remainder when (3/(-6))/((-3)/2)*693 is divided by 9.
6
What is the remainder when 84 + -1 + 3 - 1260/180 is divided by 23?
10
Suppose -4*z + 6*z = 5*d - 820, 0 = -2*d - z + 328. What is the remainder when d is divided by 55?
54
Suppose 0*o + 2*o = 132. Let p = 8453 - 8436. What is the remainder when o is divided by p?
15
Let f = 17 + -13. Suppose 50 + 36 = -2*s - 3*z, 2*z + 180 = -f*s. Let u = -15 - s. What is the remainder when u is divided by 11?
9
Let k(z) = -8*z - 16. Let o be k(-7). Suppose -o*f + 57 = -37*f. Calculate the remainder when f is divided by 15/(2 + (-2)/4).
9
Let d(q) be the third derivative of q**5/60 - q**4/24 - q**3/2 - 3*q**2. Let b be 2/(-3) + (-80)/(-12). Calculate the remainder when d(b) is divided by 14.
13
What is the remainder when 178 is divided by (2/1)/(3*10/180)?
10
Let r(k) = -3*k**2 - 2*k - 1. Let h be r(-1). Suppose -10*o - 2 = -62. Calculate the remainder when 9/o - 51/h is divided by 15.
12
Let j = -711 + 435. Let v = -56 - j. Suppose 4*o - v = -o. What is the remainder when o is divided by 15?
14
Suppose -5*f - 60 = 7*t - 9*t, 80 = 5*t + 5*f. Let q be 2/(-7) + 26/(-7). Let i(y) = -y**3 + y**2 + y + 3. Calculate the remainder when i(q) is divided by t.
19
Let k be 3/(-12) + 2/((-48)/(-1110)). Let l(d) = -8*d**3 + d + 2. Let q be l(-2). Let v = q - k. What is the remainder when 70 is divided by v?
16
Suppose 4*u - 65 + 0 = -5*c, -2*u + 52 = 4*c. Calculate the remainder when 15 is divided by c.
2
Suppose -3*q + 160 = 5*q. Let o(u) = 6*u - 3. Calculate the remainder when o(7) is divided by q.
19
Let q(z) be the second derivative of z**5/20 - 5*z**4/12 + z**3 - z**2/2 - 7*z. What is the remainder when (-1)/(2*1/(-54)) is divided by q(4)?
6
Suppose -3*g = -77 + 17. Let a(i) = i - 3. Let z be a(5). Suppose 0*y - 14 = -z*y. What is the remainder when g is divided by y?
6
Suppose 0 = 3*o - 24*o + 7371. What is the remainder when o is divided by 11?
10
Let d be (13/26)/(1/2). Let k(b) = b**2 + b + 3*b**2 - 2*b**2. Calculate the remainder when 7 is divided by k(d).
1
Suppose -3*o + 6*o = 9. Suppose -4*i + 44 = -2*j, -2*j + j = o*i + 22. Let r = j + 90. Calculate the remainder when r is divided by 23.
22
Suppose 0 = k - g - 54, k + 0*g - 42 = -2*g. What is the remainder when 66 is divided by k?
16
Suppose 3*u - 8 - 7 = 0. Let h = 14 - u. Let y(c) = c**2 - 3*c + 1. Calculate the remainder when h is divided by y(4).
4
Suppose 3*i = -166 + 259. Calculate the remainder when 52 is divided by i.
21
Let f(x) = -2*x + 4. Let o be f(5). Let z(r) = -r**2 - 10*r - 19. Let k = 3 - 1. What is the remainder when z(o) is divided by k?
1
Suppose -3*p = -4*b - 43, -p + 3 = -5*b - 4. Let j = 187 - 105. What is the remainder when j is divided by p?
14
Let i(p) = p**3 + 9*p**2 + 10*p + 5. Let d(f) = f**2 - f - 253. Calculate the remainder when d(-19) is divided by i(-7).
28
Let z(n) = 182*n - 3. What is the remainder when z(1) is divided by 12?
11
Suppose -5*c = 3*m - 39, -c = -2*c + m + 3. Suppose -15 = -c*q + q. Suppose 0 = q*o - 20 - 34. Calculate the remainder when 69 is divided by o.
15
Let x = 807 - 803. What is the remainder when 15 is divided by x?
3
Suppose -116*u - 135 = -125*u. Calculate the remainder when (-2 - -45) + (0 - 0) is divided by u.
13
What is the remainder when 204 is divided by (6/(-9)*(-3894)/(-44))/(-1)?
27
What is the remainder when 3/4*(-3500)/(-105) is divided by 13?
12
Suppose 2*x = -2*x + 92. What is the remainder when 90 + -4*1/2 is divided by x?
19
Let o = 16 + -34. Calculate the remainder when 90 is divided by (-12)/o 