) is divided by 12.
11
Let m(r) be the third derivative of r**5/60 - r**4/12 + r**3 - r**2. Suppose -50 = -2*z - 0*z. What is the remainder when z is divided by m(4)?
11
Let d be (0 - (-3 - 2))*-20*1. Let u = 115 + d. Let n(w) = -19*w + 1. What is the remainder when n(-3) is divided by u?
13
Suppose 42*t - 9232 + 328 = 0. Calculate the remainder when t is divided by 12.
8
Let r = 269 - 259. What is the remainder when r is divided by 6?
4
Let b(y) = -88*y - 3. Let z(s) = 439*s + 16. Let v(r) = -11*b(r) - 2*z(r). Calculate the remainder when v(1) is divided by 418/18 - -14*(-11)/693.
22
Let v(l) = -2*l + 5. Let u = 302 + -210. What is the remainder when u is divided by v(-7)?
16
Let y = -448 + 466. Calculate the remainder when 23 is divided by y.
5
Let a = -13 + 57. What is the remainder when 130 is divided by a?
42
Let c be (-150)/42 + 4 + 3/(-7). Let m be (13 - -1) + 10/5. Let r = c + m. Calculate the remainder when 47 is divided by r.
15
Suppose 0 = 393*q - 419*q + 442. What is the remainder when 148 is divided by q?
12
Let h(x) = -8*x - 87. What is the remainder when 339 is divided by h(-17)?
45
Let k = 20 + -18. Suppose 0 = p - 1, -5*d + k*p = -390 + 57. Calculate the remainder when d is divided by 17.
16
Suppose -36 = -9*j - 0. What is the remainder when j is divided by 3?
1
Let j = 3663 - 3654. Suppose s - 5*o = -o + 87, -o + 435 = 5*s. What is the remainder when s is divided by j?
6
Suppose 2*m - 61 = -2*q - 37, 3*m = 5*q - 92. Suppose -2*j - 3 = 4*v + 5, 4*v = -j - 14. What is the remainder when q is divided by j?
4
Suppose 260 = 128*u - 124*u. Calculate the remainder when u is divided by 4.
1
Let z(u) = -u**3 - 8*u**2 + 15*u - 24. Let l = 59 + -69. Calculate the remainder when z(l) is divided by 18.
8
Let x(t) be the third derivative of 0*t + 0 - 2/3*t**4 + 1/3*t**3 - 3*t**2. What is the remainder when x(-2) is divided by 18?
16
Calculate the remainder when 10/(-6)*(-3120)/1300 is divided by -2 + (-4)/(1 - 2).
0
Let x = 0 + 3. Let u(s) = s**x - 6*s**2 + 7*s + s**2 + 0*s. What is the remainder when u(6) is divided by 20?
18
Calculate the remainder when ((-4)/(-2) - 106)/(8/(-12)) is divided by 36.
12
Let c(b) = -7*b + 38. Let s(p) = -8*p + 39. Let f(x) = -5*c(x) + 4*s(x). Calculate the remainder when 71 is divided by f(14).
7
Let x = 2204 + -1261. Calculate the remainder when x is divided by 63.
61
Suppose -3809 = -2*i - 3757. What is the remainder when 34 is divided by i?
8
Let z(p) = 1 + p - 4 + 6. What is the remainder when 16 is divided by z(7)?
6
Suppose 2*l + 4 - 14 = 0. Let u = l - -29. What is the remainder when u is divided by 4/26 - 230/(-26)?
7
Calculate the remainder when 5/(-20)*0 + 117 is divided by 25.
17
Calculate the remainder when (-551)/(-19) - (-10)/2 is divided by (-260)/(-22) + (-2)/(-11).
10
Suppose -b + 1235 + 211 = -4*g, -b = -5*g - 1448. What is the remainder when b is divided by 60?
58
Suppose -l + 110 = 5*y, 410 - 137 = 3*l - 4*y. Suppose h - 29 = -x, 3*x = 3*h + 2*x - l. What is the remainder when 61 is divided by h?
30
Let i = -863 + 896. Calculate the remainder when 82 is divided by i.
16
Suppose -7*k + 231 - 28 = 0. What is the remainder when 57 is divided by k?
28
Suppose -3*w - 2*w = 70. Let h = w - -30. Suppose -4 = -t - 3*n, 3*n - h + 60 = 2*t. What is the remainder when 30 is divided by t?
14
Let j be 1166/(-143) - (-4)/26. Calculate the remainder when 159 is divided by (184/(-3))/j*(3 - 0).
21
Let k(c) = 2*c**2 + 8*c + 4. Let u be 104/2 - (3 + -1). Suppose 29*y - 24*y = u. What is the remainder when k(-6) is divided by y?
8
Let z(y) = -y**2 + 2*y**2 - 18*y + 35 + 6*y - 3*y. Let a be z(14). Suppose a - 57 = -2*s. Calculate the remainder when 68 is divided by s.
14
Let k(g) = g**2 - 2*g - 1. Suppose 2*a - 4*l = a + 21, -40 = -4*a + 5*l. Calculate the remainder when 54 is divided by k(a).
12
Suppose 0 = 4*s - j + 85 - 578, 3*s = -5*j + 387. What is the remainder when s is divided by 95?
29
Suppose 2*y + 16 = 6*y, -56 = -4*b - 5*y. Suppose l + 5*i - 23 = i, 20 = 5*l + i. Calculate the remainder when b is divided by l.
0
Suppose 5*w - 4*m - 21 = 0, -4*w + 3*m + 9 + 8 = 0. Suppose -h = w, 3*n - h = -n + 17. Calculate the remainder when n is divided by 1.
0
Let r = 63 - 59. Suppose -3*o + 2*y + 40 = 0, 0 = r*o + 4*y + 6 - 86. What is the remainder when 57 is divided by o?
9
Suppose -5*y = m + 16 - 189, 3*m + 146 = 4*y. Calculate the remainder when 66 is divided by y.
31
Let b = -20 + 10. Let v = 9 + b. What is the remainder when (-6 - (-3 - 0))*v is divided by 2?
1
Let f(o) = -o**2 + 8*o - 8. Let d be f(10). Let j = d - -82. Suppose -4*r + 5*c + 7 + j = 0, 2*r + 4*c - 24 = 0. What is the remainder when r is divided by 8?
6
Let t(c) be the third derivative of c**5/12 + 5*c**4/24 + c**3/6 + 8*c**2. Suppose -2*g = g - 48. Calculate the remainder when t(-4) is divided by g.
13
Let d = -2 - 45. Let b = d - -15. Let t = -19 - b. Calculate the remainder when 49 is divided by t.
10
Let g(d) = -2*d**2 + 59*d - 82. What is the remainder when g(28) is divided by (1 - (-1 - -1))/1?
0
Let j(p) = -11*p**3 - p**2 - 5*p + 2. Let d be j(-3). Let c = d + -212. Calculate the remainder when c is divided by 47.
46
Let w(k) = -36*k - 150. What is the remainder when 267 is divided by w(-5)?
27
Suppose -2*f - 29 = -89. Suppose 0 = 9*g - 4*g - f. Calculate the remainder when 9 is divided by g.
3
Let p = 1 + 3. Suppose p*o = -j - 8, 2*j + 5*o - 2*o = 4. Suppose -27*l + 21*l = -18. Calculate the remainder when j is divided by l.
2
Let c be ((-104)/10)/(-1*(-2)/(-15)). Suppose -4*t = -7*t + c. Calculate the remainder when 50 is divided by t.
24
Suppose x - 58 + 21 = 0. Let v(i) = 106*i**3 + 2*i - 2. What is the remainder when v(1) is divided by x?
32
Let k = 218 - 204. What is the remainder when (-6)/21 + 718/14 is divided by k?
9
Suppose 3*y = -4*x, -2*y = -2*x - 0*y. Suppose 3*h - 6*h + 189 = x. Calculate the remainder when h is divided by 22.
19
Suppose 0 = j + 4 - 6. Let a be (-8)/(-3) + (-4)/6. Suppose -j*b + a*q = -20, 105 = 5*b + 5*q + 25. What is the remainder when 36 is divided by b?
10
Let m be 1*10*(-16)/(-40). Let l be ((-512)/m)/(-2) - 0. Let y = 90 - l. What is the remainder when y is divided by 9?
8
Suppose 8*o - 9*o = -46. Suppose -i = i - o. What is the remainder when 66 is divided by i?
20
Let h(v) = 26*v + 113. Calculate the remainder when h(3) is divided by 96.
95
Suppose -4*q - 20 = -116. Suppose 0 = 3*k - 7*k + q. What is the remainder when 14 is divided by k?
2
Let a be (-2)/4*-1*-2. Calculate the remainder when 52 is divided by ((1 + 0)*a)/(29/(-551)).
14
Let n be (-10)/55 - (-57)/11. Suppose -483 = n*u - 12*u. What is the remainder when u is divided by 14?
13
Suppose 0 = -2*q - 4*n + 60, -q + 4*q - 3*n = 45. Let v = -103 - -107. Suppose 5*m + 123 - 47 = i, m + 304 = v*i. What is the remainder when i is divided by q?
16
Suppose -14 = -4*m + 22. Let b be 6/15 - 16/40. Suppose 3*t = c - b*t - 22, 0 = -3*c - 3*t + 78. What is the remainder when c is divided by m?
7
Let q(x) = -x**3 - x**2 + 4*x. Let o = 4 + 17. What is the remainder when q(-5) is divided by o?
17
Let c(r) = r**3 - 4*r**2 + 8*r + 83. Let m(x) = -x**3 + x + 2. Let a be m(0). Calculate the remainder when c(0) is divided by 14*2/(-1 + a).
27
Suppose 13*r = 16*r. Suppose 2*l + r*l - c - 18 = 0, 4*l - 30 = 5*c. What is the remainder when 1*(17/1 + 0) is divided by l?
7
Suppose -x - 8 = 3*w + 2, -4*w + 8 = 0. Let m = 3 - x. Let a = -3201 + 3208. What is the remainder when m is divided by a?
5
Let f(u) = 5*u**2 + 2. Let g be f(1). What is the remainder when -2 - (g + -5) - -26 is divided by 2?
0
Let m = -328 - -356. What is the remainder when m is divided by 8?
4
Suppose -3*p - 88 = -19. Let m = p + 38. Suppose -m = -0*s - 3*s. Calculate the remainder when 14 is divided by s.
4
Suppose 0 = -u - 5, 77 = 3*l - 5*u - 23. Calculate the remainder when 57 is divided by l.
7
Suppose -23*j = u - 20*j - 74, -252 = -3*u + j. Calculate the remainder when u is divided by 39.
5
Let q(h) = -h**2 - 2*h + 14. Let m be q(-9). Let r = m + 94. Calculate the remainder when r is divided by 24.
21
What is the remainder when ((-635)/4)/((-255)/408) is divided by 8?
6
Suppose -2 = n - 10. Suppose 63 = -48*a + 51*a. What is the remainder when a is divided by n?
5
Let r = 26