uppose 0 = -4*i + 2*a + 134, i + i + 3*a - 71 = 0. Suppose 226 = -3*o + 244. Calculate the remainder when i is divided by 19 + (6 - 0 - o).
15
Let c(p) = -20*p + 288. Let z(h) be the third derivative of h**5/12 + h**4/6 + h**3/2 - 2*h**2. Calculate the remainder when c(13) is divided by z(-2).
13
Let m(p) = -5*p + 24. Let n be m(-11). Let i = n + -72. Calculate the remainder when 18 is divided by i.
4
Let s(i) = i**2 - 15*i + 5. Let o be s(15). Suppose t - 2*y - 26 = -3*y, -5*y - 130 = -o*t. Calculate the remainder when t is divided by 7.
5
Suppose -5*f = -4*k + 31, 5*k - 3*f - 24 = 2*k. Suppose 3*p = p + 12. Calculate the remainder when k is divided by p.
3
Let c(m) = 6*m**3 + 13*m**2 + 8*m - 3. Let d(u) = 5*u**3 + 12*u**2 + 8*u - 4. Let q(g) = 4*c(g) - 5*d(g). Calculate the remainder when 56 is divided by q(-7).
11
Suppose -3*p + 10 = -8. Suppose -3*w + 0*w = -p. Suppose 0 = -w*d - 4*h + 2*h + 64, -5 = h. What is the remainder when d is divided by 19?
18
Suppose -125 = -16*l + 291. Calculate the remainder when l is divided by 6.
2
Let z(u) = 13*u + 102. What is the remainder when z(8) is divided by 30?
26
Let n(c) be the second derivative of c**4/12 - 5*c**3/3 + 13*c**2/2 - 19*c. What is the remainder when 17 is divided by n(9)?
1
Let v(x) = -8*x**3 - 7*x**2 - 8*x - 5. Calculate the remainder when 605 is divided by v(-2).
41
Let q(b) = -2 + 9 - 2 + 2*b. Let p be q(0). Suppose -p*c = -4*x - 0*c + 142, 5*x - 3*c = 184. Calculate the remainder when x is divided by 14.
10
Let i(g) = g**3 + 6*g**2 + 6*g - 4. Let y be i(-4). Suppose 72 = -y*t + 12*t. What is the remainder when 13 is divided by t?
4
Suppose -1881 = -14*h - 43*h. Calculate the remainder when 626 is divided by h.
32
Suppose 4*r - 600 = -2*m, -3*m + 108*r - 107*r + 928 = 0. Calculate the remainder when m is divided by 27.
11
Let q be (5 - 3 - 1) + 0 + 1. Let p(u) = u + 17. Let z be p(0). Suppose 0 = m - z + q. What is the remainder when 59 is divided by m?
14
Suppose 0 = 54*x + 88 - 358. What is the remainder when 11 is divided by x?
1
Let p = -38 + 42. Suppose -p*x = -2*x - 104. Suppose 5*u = 7*v - 3*v - 83, -v + 2*u + 17 = 0. Calculate the remainder when x is divided by v.
25
Let f be (-1 - -5)/(-4)*-75. Let c = f - 29. What is the remainder when 181 is divided by c?
43
Suppose 6*h = 2*h + 2*z + 1576, 4*z - 1564 = -4*h. What is the remainder when h is divided by 44?
41
Let z(s) = -210*s - 901. What is the remainder when z(-18) is divided by 80?
79
Let s(h) = h**3 + 6*h**2 + 6*h + 6. Calculate the remainder when (-246)/(-36) + (11/(-42) - 18/(-42)) is divided by s(-5).
0
Let p = -6 + 0. Let s = p + 27. Calculate the remainder when 60 is divided by s.
18
Let k(j) = j**2 + j - 5. Let q = 3 + -3. Let r be 4/(-2)*(q + 2). What is the remainder when k(r) is divided by 5?
2
Let y(j) = -9*j + 149. What is the remainder when 530 is divided by y(10)?
58
Let o = -1148 + 1364. What is the remainder when o is divided by 19?
7
Let x = 43 + -142. Let j = x - -102. Calculate the remainder when 23 is divided by j.
2
Let a be 393/12 - 5 - 2/(-8). Suppose -10*x + 14*x = a. What is the remainder when 26 is divided by x?
5
Suppose 0 = 100*y - 96*y - 248. Calculate the remainder when y is divided by 35.
27
Calculate the remainder when 56 is divided by ((-10)/(-8)*(-44)/(-11))/1.
1
Let g(f) = 8*f + 1. Let p(n) = 15*n + 2. Let h(j) = 7*g(j) - 3*p(j). Calculate the remainder when h(6) is divided by 23.
21
Suppose 3*j - 8*j = 130. Let y = 33 + j. What is the remainder when 12 is divided by y?
5
What is the remainder when ((-126)/12 + 6)/((-3)/42) is divided by 25?
13
Let p(g) = g + 13. Let x be p(-11). What is the remainder when 30 is divided by 1 - (x + 1) - -10?
6
Let g(y) = -y**2 - 2*y + 6. Let t be g(-3). Suppose t*w = -0*w + 30. Let f = 24 - w. What is the remainder when f is divided by 9?
5
Suppose 689*f = 693*f - 92. What is the remainder when f is divided by 21?
2
Let x be (-24)/(-3)*1/2. Suppose 0 = 8*t - x*t - 296. Suppose -t = -3*d + 103. Calculate the remainder when d is divided by 20.
19
Suppose -2*a + 2*p + 30 = 0, 4*p - 28 = -2*a + 5*p. Calculate the remainder when a is divided by ((-24)/20 - -2)/((-2)/(-20)).
5
Suppose 4*y - 75 = -y. Let m = 7782 - 7776. Calculate the remainder when y is divided by m.
3
Let k(v) = -v**3 - 6*v**2 + 7*v - 1. Let o be k(-7). Calculate the remainder when -8*((-38)/8 - -1) is divided by o*(0 - 1)*11.
8
Let k(d) = -d**3 - 8*d**2 + d + 9. Let g be k(-8). Let c = 18 + -18. Suppose r - 18 - g = c. What is the remainder when r is divided by 10?
9
Suppose -4*j = -5*r - 2, -4 = 5*r - 14. Let p(c) = -c**2 + 9*c - 4. What is the remainder when 97 is divided by p(j)?
13
Suppose 10*x - 774 = 9*x + 5*y, 3*y - 3954 = -5*x. Calculate the remainder when x is divided by 24.
21
Suppose 0 = -31*w + 7*w + 3624. Calculate the remainder when w is divided by 12.
7
Let b = 18 + -8. What is the remainder when 3*26/(-78)*1*-47 is divided by b?
7
Suppose -6*r - 20*r = -2158. Calculate the remainder when r is divided by 25.
8
Let f(z) = 2*z - 17. Let n be f(10). What is the remainder when 127/n - 24/(-36) is divided by 11?
10
Suppose 0 = -6*t + 27*t - 1029. What is the remainder when 162 is divided by t?
15
Suppose -3*o + 41*s = 37*s - 103, -5*o = 4*s - 193. What is the remainder when 105 is divided by o?
31
Suppose 3*y - 9 = 36. Suppose -4*u + 31 = -9. Suppose -t - u = -y. What is the remainder when 14 is divided by t?
4
Suppose 4*d - 83 = -t, -413 = -3*t - 3*d - 146. What is the remainder when 269 is divided by t?
87
Let i = 483 + -373. Calculate the remainder when i is divided by 3.
2
Let o = -21 + 10. Let l = -16 + 13. Calculate the remainder when 63 is divided by (o/l)/((-7)/(-42)).
19
Let u(a) = 33*a - 2. Let t be u(2). Let b = 49 - 19. Let z = t - b. What is the remainder when z is divided by 9?
7
Let p(f) = -f**3 - 103*f**2 + 0 - 7 + f + 108*f**2. What is the remainder when 6*(3 + 1) + 1 is divided by p(3)?
11
Let a(m) = -5 + 7 + 35*m**2 - 29*m**2 - 8*m + m**3. What is the remainder when a(-7) is divided by 4?
1
Let f(t) = 25 - 18 + 42 + 2*t + 2*t. Calculate the remainder when f(-9) is divided by 2.
1
Let d(w) = w - 1. Let u = -13 + 33. Calculate the remainder when u is divided by d(7).
2
Let w = -172 - -182. What is the remainder when 48 is divided by w?
8
Suppose p = -3*b + 27, p - 2*b = 5 + 12. Calculate the remainder when (6/8)/((-2)/(-272)) is divided by p.
18
Let c(f) = f**3 + f**2 + 2*f - 104. Let v be c(0). Let s = v - -72. Let m = 55 + s. Calculate the remainder when m is divided by 8.
7
Let l(m) = m + 6. Suppose 34 - 14 = 5*c. Suppose 4*d - 143 = d + 4*g, -c*d - 4*g = -200. Calculate the remainder when d is divided by l(7).
10
Let y = -77 + 73. Let o(d) = -9*d + 15. Calculate the remainder when o(y) is divided by 14.
9
Let z(w) = w + 9. Let r be z(-5). Suppose -2*f + 12 = r. Suppose f*a + 16 = 44. What is the remainder when 32 is divided by a?
4
Let a = 9 + 2. Let p be (-22)/a + 4/2. What is the remainder when 1 + p - -2*21 is divided by 22?
21
Calculate the remainder when -4 - (-524)/(-2 + 6) is divided by 16.
15
Let r(u) be the third derivative of u**5/60 - u**4/4 + 8*u**3/3 + 19*u**2. Let t = -63 - -88. What is the remainder when t is divided by r(3)?
4
Let n = -93 + 137. Let i = -22 - -38. Calculate the remainder when n is divided by i.
12
Suppose -o = -0*o + 5*b - 54, -5*o + 201 = 2*b. Calculate the remainder when 169 is divided by o.
13
Let z = -6 + 7. Let k(b) = -z + 0*b - b**2 + 7 - 9*b + 0*b. What is the remainder when k(-8) is divided by 8?
6
Suppose -55*y - 520 = -58*y - o, -o - 176 = -y. Let r(a) = 2*a**3 - 2*a**2 + 3*a - 1. What is the remainder when y is divided by r(3)?
42
What is the remainder when (-5 + 6)*-3*316/(-4) is divided by 20?
17
Let d = -270 + 274. Calculate the remainder when 43 is divided by d.
3
Let o = -19 + 29. Suppose -4*w = -5*c - 32, -w + 4*c = 7 - 15. Calculate the remainder when o is divided by w/1 - 4 - 0.
2
Let t(y) = -2*y**2 - 10*y - 4. Let z be t(-5). Let u be 10*(4 - 2) + z. Suppose -j + u - 14 = 0. Calculate the remainder when j is divided by 2.
0
Suppose 0*y + 5*y - 5*j + 5 = 0, j = 1. Suppose y = -3*z + 5*t + 43, -2*z + 2*t = -0*z - 34. Calculate the remainder when z is divided by 15.
6
Suppose 0 = 5*t - 4*d + 41 - 226, 4*t