 when v(9) is divided by 24.
21
Let k(s) be the third derivative of s**5/60 - s**4/24 + 4*s**3/3 - 5*s**2. What is the remainder when k(8) is divided by 13?
12
Suppose 0 = 4*k - 20, 4*k = 3*v - 348 + 65. Let p(x) = 74*x**2 + x - 1. Let h be p(1). Let o = h - 48. Calculate the remainder when v is divided by o.
23
Suppose 2*d - 17 = -s, 31 - 33 = d. Calculate the remainder when ((-372)/(-16))/(3/16) is divided by s.
19
Suppose 0 = 5*t - 19 - 1. What is the remainder when 65 is divided by t?
1
Suppose 19*k - 15*k - 112 = 0. Calculate the remainder when k is divided by 9.
1
Let g = 0 + 9. Let j(d) = -d**3 - 2*d**2 + 2. Let n be j(-2). Suppose -3*l - 4*o = -44, o - 3*o - n = 0. Calculate the remainder when l is divided by g.
7
Suppose -5*i = -21*j + 18*j - 4016, i - 3*j = 796. Calculate the remainder when i is divided by 18.
13
Suppose -8 + 77 = 3*s. Let n(h) = h - 9. Let v be n(6). Calculate the remainder when s is divided by 4 + 3/v + 10.
10
Let u be 10/(3 - (0 - -1)). Suppose -b - u + 13 = 0. Calculate the remainder when 102 is divided by b.
6
Let w(f) = f**3 - 7*f**2 + 11*f - 8. What is the remainder when 70 is divided by w(6)?
4
Let q be ((-2)/(-6)*-2)/(6/(-63)). Suppose -134 + 470 = q*x. Calculate the remainder when 285 is divided by x.
45
Let f = -1261 - -1298. What is the remainder when 61 is divided by f?
24
Suppose -2*m = 3*x - 4*x + 10, 0 = -4*m - 4. Let u(y) = -y**3 + y**2 - y + 3. What is the remainder when x is divided by u(0)?
2
Let o(p) = 7*p - 27. Calculate the remainder when 28 is divided by o(5).
4
Let l(x) = x**2 + x + 1. Let n be (-5)/(-10) - (-7)/2. Suppose -m - 60 = -3*a - n*m, -3*a + 84 = -5*m. What is the remainder when a is divided by l(3)?
10
Suppose 6*n - n - t - 168 = 0, 0 = 5*n - 5*t - 160. Let m = -23 + n. Calculate the remainder when 31 is divided by m.
9
Let d = 9 + 36. Calculate the remainder when d is divided by (24/9)/((-2)/(-9)).
9
Let f(i) = -5 + 12 + 1 - i. What is the remainder when 71 is divided by f(-10)?
17
Let a(l) = -l - 2. Let t be a(-7). Suppose -3*p = -t*h - 2*p + 19, 2*h + p - 9 = 0. Suppose -n + 21 = -h. Calculate the remainder when 73 is divided by n.
23
Let l = 192 + -124. Calculate the remainder when 149 is divided by l.
13
Let i = 359 + -314. What is the remainder when 172 is divided by i?
37
Let i(o) = -o + 3. Suppose -4 = -2*r + 6. Suppose -r*y - 5 = 75. What is the remainder when 74 is divided by i(y)?
17
Let r(c) = -c**2 + 3. Let t be r(0). Suppose -2*w + 100 = t*w. Suppose 4*q = 2*g + 2*g + w, -5*g = q + 19. What is the remainder when 3 is divided by q?
0
Let k = -44 - -124. Let s = -52 + k. What is the remainder when s is divided by 10?
8
Suppose 4*z + 3*g - 1 = 0, -5*z + 2 = 8*g - 5*g. Suppose -2*o = -5 + z. Suppose 4*q - t = 17, 5*q - 3*t - 16 = 7. What is the remainder when q is divided by o?
0
Let l = -11379 + 11388. Suppose 2*r + 28 = u, -2*u + r = 2*u - 77. Let k = u - -17. Calculate the remainder when k is divided by l.
8
Let c(s) = 3*s**2 - 32*s - 281. Let l(j) = j**3 - 9*j**2 - 12*j + 2. Calculate the remainder when l(11) is divided by c(-6).
17
What is the remainder when 93 is divided by (-3*8/(-12) - -45)*1?
46
Let f(l) = -l**3 - 5*l**2 + 2*l - 8. Let j be f(-5). Calculate the remainder when j/54*(-69)/1 is divided by 8.
7
Let k = 120 - 107. Let l(p) = -p**2 - 5*p + 1. Let v be l(-5). Suppose y + v - 5 = 0. Calculate the remainder when k is divided by y.
1
Let z(l) = 10*l**2 - 2*l - 3. Let g be z(-3). What is the remainder when (50/(-15) - -4)/(2/g) is divided by 8?
7
What is the remainder when 1635/10 + (9/2 - 3) is divided by 12?
9
Let r(v) = v**2 - 2*v + 5. Let a be r(5). Suppose l + a = -2*u + 73, 0 = -l - 5*u + 38. Calculate the remainder when l is divided by 6.
3
Suppose -3*z = 3*x - 267, -23*x + 28*x = 3*z - 227. What is the remainder when 154 is divided by z?
70
Let u(d) = -37*d**3 - 5*d - 5. Let w be u(-1). Suppose -4*o + f = -5*o + w, 3*o + 2*f - 112 = 0. Calculate the remainder when -2 + 2 + 109 + 1 is divided by o.
34
Suppose -1 = 2*j - 17. What is the remainder when j/(-12) - 197/(-3) is divided by 34?
31
Let h(p) = -2*p + 12. Let l be h(9). Let s(q) = 38*q. What is the remainder when s(1) is divided by 2/l - 40/(-3)?
12
Let y = 57 - 11. What is the remainder when 178 is divided by y?
40
Suppose -3*n + n - 5*z + 26 = 0, 5*n - 19 = -z. Suppose 22 = -n*h + 190. Suppose 15 = a - 4. Calculate the remainder when h is divided by a.
18
Suppose 0 = -6*c - 0*c + 78. Let u = 35 + -11. What is the remainder when u is divided by c?
11
Let b be 72/(-12)*(-6)/4. Let c be ((-6)/b)/((-10)/45). Suppose -10 = 2*f, f - 3*f - 40 = -c*x. What is the remainder when 39 is divided by x?
9
Suppose -34*c + 33*c = -2*a + 123, 4*c + 138 = 2*a. Calculate the remainder when 230 is divided by a.
53
Let j = 434 - 431. What is the remainder when 10 is divided by j?
1
Suppose 2 = x - 1. Suppose -x*k + 0*g = g - 42, -3*k - 5*g + 42 = 0. What is the remainder when k is divided by 5?
4
Suppose -2*z = -2*l + 16, 10*l + 3*z - 41 = 8*l. Calculate the remainder when 84 is divided by l.
6
Let t(r) = -508*r - 33. What is the remainder when t(-1) is divided by 60?
55
Suppose -3*z + 20 = x + 5, -z + 53 = 3*x. Suppose -2*t = o, -3 - x = -o + 5*t. What is the remainder when 10 is divided by o?
4
Let k(v) = -21*v**3 + v**2. Let r be k(-1). Let p = r - 16. Let s = p - 1. Calculate the remainder when s is divided by 5.
0
Suppose -4*b = -5*b. Suppose -q + b = -3. Calculate the remainder when 64 is divided by (q - 2)/(1/22).
20
Let k(y) = y**2 - 4*y + 1. Let u be k(7). Suppose -s - 8 + u = 0. What is the remainder when 124 is divided by s?
12
Let g = 39 - 4. Suppose 4*k - 5*u = g, 0*k + 5*u = 3*k - 30. Calculate the remainder when k is divided by 9/(-18)*(-9 - -1).
1
Let a(o) = -3*o - 32. Suppose 5*q - 300 = -q. What is the remainder when q is divided by a(-15)?
11
Suppose 0*h + 3*q + 45 = 3*h, 20 = h + 4*q. Let k = -14 + h. Suppose -3*u = -2*r - 73, 0 = -2*u + k*r + 15 + 37. What is the remainder when u is divided by 8?
5
Suppose 0 = -2*c + 4*x, 13*c - 9*c - 3*x - 15 = 0. Suppose -4*n + 5*a - 52 = -3*n, -112 = 4*n + 4*a. Calculate the remainder when 31 is divided by n/c*12/(-8).
7
Let y(i) = 100*i**2 - i - 1. Let p = -111 + 128. What is the remainder when y(-1) is divided by p?
15
Suppose 4*h = -3*k - 46, -4*k + 20 = -h - 1. Calculate the remainder when 38 is divided by ((-52)/h)/((-4)/(-10)).
8
Let v(s) = s - 2. Let u be v(-16). Suppose 3*y - 4*y = 3*z - 22, 0 = -3*y - 5*z + 74. Let x = u + y. What is the remainder when 39 is divided by x?
9
Suppose -g - 5*p + 2 + 40 = 0, 0 = -2*p - 2. Let r = -32 - -35. Suppose 21 = -r*o + 51. What is the remainder when g is divided by o?
7
Suppose -4*c - f - 25 = 0, -c + 3*f - 2 - 1 = 0. Let m(r) = -r**2 - 8*r. Let z be m(c). What is the remainder when 16 is divided by (z/16)/((-1)/(-12))?
7
Suppose 18*m - 9*m - 225 = 0. What is the remainder when m is divided by 15?
10
Let s(w) = w**3 + 35*w**2 - 19*w - 83. Calculate the remainder when s(-34) is divided by 14.
11
Let r(t) = -t**3 - 10*t**2 + 23*t + 1. What is the remainder when 335 is divided by r(-12)?
10
Let a(b) = -94*b + 6. Let i be a(-6). Suppose 5*h = -5*h + i. Calculate the remainder when h is divided by 16.
9
Suppose 3*y + 4*o - 4 = -0*y, 14 = 4*y + o. Suppose -i + 5*z = -141, -2 = -3*z + y. Suppose -q + 2*q - i = 0. Calculate the remainder when q is divided by 38.
37
Let k = -311 - -324. Calculate the remainder when 259 is divided by k.
12
Let t(v) = -2*v**3 - v + 5. Suppose 10*f - 6*f = 5*f. Calculate the remainder when 14 is divided by t(f).
4
Suppose -5*b + 66 + 669 = 0. Let h(l) = l**2 + l - 42. Calculate the remainder when b is divided by h(8).
27
Suppose 0 = 98*l - 90*l - 360. Calculate the remainder when 155 is divided by l.
20
Let r = 1 + -1. Suppose r = -3*c + 2*c + 12. Calculate the remainder when 46 is divided by c.
10
Let y(x) = 5*x**2 - 20*x - 21. Calculate the remainder when 14 is divided by y(-1).
2
Calculate the remainder when 264 is divided by 0/(8 - 1) + 5.
4
Let w be (-18)/(-8) + (-2 - 3)/20. Suppose -w*q = 2*i - 42, -4*q = i - q - 11. Calculate the remainder when i is divided by 12.
2
Suppose -4*c = 2*t + 230, -2*t - 3*c = 3*t + 568. Let y = -103 - t. What is the remainder when 69 is divided by 