 (3/12)/(k/60) is divided by 2.
1
Let r(o) = o**3 + o**2 + 2*o + 31. What is the remainder when 35 is divided by r(0)?
4
Suppose 20 + 249 = 5*y + 2*k, 12 = -4*k. Let p = 1 - 4. What is the remainder when y is divided by ((-2)/(-1))/(p/(-21))?
13
Suppose 4*f = 5*f + 3, 0 = -i + 5*f + 15. Suppose -5*d = -30 - i. What is the remainder when 11 is divided by d?
5
What is the remainder when 454*((-90)/12)/(-3) + -3 is divided by 21?
19
Suppose -388 = -3*d + 4*g, -5*g = -2*d - 0*g + 247. Suppose -c + 3*h + d = 4*c, -4*c - 5*h = -94. Calculate the remainder when c is divided by 9.
8
Suppose -11*a + 186 = 20*a. What is the remainder when 68 is divided by a?
2
Calculate the remainder when 187 is divided by (-2)/((-20)/(-45))*-6.
25
Suppose 2*f - 21 = -3*x + 24, -f + x + 20 = 0. Calculate the remainder when 36 is divided by f.
15
Let a be (-3)/6 + (-410)/(-4). Suppose a = 5*y - 113. What is the remainder when 128 is divided by y?
42
Suppose -216 - 129 = -5*b. Calculate the remainder when b is divided by 5*(-6)/(-90)*36.
9
Let y(t) = 2*t + 0 - 3*t - 2. Let m be y(-3). Calculate the remainder when (0 - -43)/(m/1) is divided by 22.
21
Let t(o) = o**3 - 8*o**2 - 9*o - 3. Let b be t(9). Calculate the remainder when ((-56)/b)/(2/9) is divided by 22.
18
Suppose 39 = -l + 41. Suppose i - 4*o = 5*i - 44, l*i = -3*o + 24. Let s = 82 - 47. Calculate the remainder when s is divided by i.
8
Suppose -3*j = -4*n - 31, 4*n + 40 = j + 3*j. What is the remainder when 205 is divided by j?
7
Let x(q) = -2*q**3 - 2*q**2 + 9*q + 7. Let k(o) = -3*o - 33. Let d be k(-10). What is the remainder when 31 is divided by x(d)?
15
Let j = -248 - -255. What is the remainder when 74 is divided by j?
4
Let d(f) = -8*f - 6. Suppose -2*r + 12 = -5*r. Let k(s) = s**3 - s**2 - s + 2. Calculate the remainder when d(r) is divided by k(2).
2
Let p = 117 - 52. Suppose -2*r + 5*g = -p, -2*g + 49 = 2*r - 9. What is the remainder when r is divided by 8?
6
Let g = -2078 + 5138. Suppose g = -2*h + 5*h. What is the remainder when (-4)/(-18) - h/(-27) is divided by 13?
12
Calculate the remainder when (-8)/(-108) + (-232825)/(-675) is divided by 59.
50
Let v(r) = 16*r**2 - 6*r - 17. Let i be v(-5). Calculate the remainder when i/5 - (-6)/(-10) is divided by 14.
12
Let i = 312 - 245. What is the remainder when i is divided by 10?
7
Let c = -18 - -47. Suppose -12 = h - c. Let d(x) = -x**2 + 7*x. What is the remainder when h is divided by d(6)?
5
Suppose -7830 = -17*y - 3240. What is the remainder when y is divided by 39?
36
Suppose 19877 = 21*v + 118*v. What is the remainder when 286 is divided by v?
0
Let g(m) = -m**2 - 45*m - 74. Calculate the remainder when g(-37) is divided by 34.
18
Let q = 88 - 37. Suppose 2*n - 15*m = -18*m + 60, 5*m = 4*n - 98. Calculate the remainder when q is divided by n.
24
Suppose 18 = i - 2*t, -3*t + 33 = 3*i - 2*t. Calculate the remainder when ((-138)/9)/(((-2)/2)/(-2 + 5)) is divided by i.
10
Let l(k) be the third derivative of 5*k**4/12 - 5*k**3/3 + 4*k**2. Suppose 5*g - 28 = 3*q, -g + 10 = q - 2. What is the remainder when l(4) is divided by g?
6
Suppose 200 + 157 = 7*z. Let f(y) = y**2 + 3*y - 5. Calculate the remainder when z is divided by f(-6).
12
Suppose -i - 59 + 89 = 0. Calculate the remainder when 298 is divided by i.
28
Let h = -186 - -212. What is the remainder when 48 is divided by h?
22
Let f(d) = -15*d - 7. Let g be f(-13). Suppose 5*c - g = 387. What is the remainder when c is divided by 29?
28
Let f be ((-2)/3)/((-20)/(-15))*0. Suppose -21*n + 20*n + 38 = f. Calculate the remainder when n is divided by 14.
10
Suppose 2*c + 22 = 98. Calculate the remainder when 113 is divided by c.
37
Let g be 2/(-3)*36/(-4). Calculate the remainder when 4*g + (-5 - 15/(-3)) is divided by 9.
6
Let s be (16/10)/((-16)/(-40)). Suppose 4*u = -w + 73, u + 3*u - s*w = 88. Let g = -11 + u. What is the remainder when 39 is divided by g?
7
Calculate the remainder when 74 is divided by -2*5/(-2) + 16.
11
Let q = 411 + -268. Calculate the remainder when q is divided by 24.
23
Let u = 29 - 29. Suppose 2*v + v + 264 = u. Calculate the remainder when 64 is divided by ((-9)/6)/(6/v).
20
Let x = 203 + -161. Calculate the remainder when 164 is divided by x.
38
Let b(a) = -2*a**2 + 72*a - 80. What is the remainder when 120 is divided by b(34)?
8
Suppose -5*l = -l + 348. Let z = 262 + l. Let y = z + -125. Calculate the remainder when y is divided by 17.
16
Let f(t) = 24*t - 1. Suppose -27*h = -22*h - 445. Calculate the remainder when h is divided by f(1).
20
Let o(t) = 3 + 3 - 8 + t. Let i be o(4). Suppose -2*h = -b + i*h + 22, b - 18 = 2*h. What is the remainder when 39 is divided by b?
11
Suppose -77 = -3*f - 4*t, 0 = f + 3*t - 24 - 5. Suppose -y - 3*u + 47 = -34, 5*y = 4*u + 310. Calculate the remainder when y is divided by f.
20
Let x be (12/30)/(2/(-50))*-31. Suppose 5*j - 165 = -2*h, -3*h + 8*j + x = 3*j. What is the remainder when h is divided by 25?
20
Suppose 0 = 5*k - 41 - 44. Let c(o) = 4*o - 37. What is the remainder when c(k) is divided by 9?
4
Let x(n) = -3*n**2 - 40*n - 7. What is the remainder when x(-9) is divided by 29?
23
Let j(q) = q**3 + 2*q**2 - 2*q - 9. Let b(l) be the first derivative of l**2/2 + l + 1. Let a be b(3). What is the remainder when j(a) is divided by 27?
25
Suppose -3*n - 9 = 3*b - 33, 2*b = -n + 13. Suppose 4*d + 84 = 4*m, n*m + 32 = 5*d + 101. Calculate the remainder when 71 is divided by m.
17
Let v(o) = 38*o - 7. Let c(f) = -77*f + 13. Let t(u) = 3*c(u) + 5*v(u). What is the remainder when t(-2) is divided by 29?
28
Let w = -107 + 140. Suppose -5*x + w = -2*x. What is the remainder when 39 is divided by x?
6
Calculate the remainder when 81 + -11*8/(-44) is divided by 22.
17
Let z(d) = -d**2 + 1. Let m be z(-1). Suppose u = -m*k + 4*k - 307, -4*k + 302 = -2*u. Suppose 5*t - 8*t = -k. What is the remainder when t is divided by 14?
12
Let j(z) = z**3 + 23*z**2 - 22*z + 23. Let y be j(-24). Let i = 76 + y. What is the remainder when i is divided by 13?
12
Let p = 170 - 159. What is the remainder when 54 is divided by p?
10
Let c be (-1595)/(-33) - 2/(-3). What is the remainder when 106 is divided by -3 + (4 - c)/(-3)?
10
Suppose 5*x - 3*s - 42 = 0, -5*x - 2*s + 64 = 17. What is the remainder when 10 is divided by x?
1
Let z(u) be the first derivative of -2*u**3/3 + 11*u**2/2 + 6*u + 9. What is the remainder when 30 is divided by z(5)?
8
Let u = 49 + -48. Suppose 0 = i - 2*y - 36, -5*y + u = 2*i - i. Suppose 5*l = 193 + 52. What is the remainder when l is divided by i?
23
Let v(m) = -m**3 + m**2 + 4*m - 2. Suppose -5*c + 3*y = -0*y - 31, 15 = 5*y. Suppose j = 5*j - c. Calculate the remainder when 4 is divided by v(j).
0
Let t(o) = 10*o**2 - 2*o. Let u be t(1). Suppose -2*x + 5*x + 12 = 0. Let b = u + x. What is the remainder when 12 is divided by b?
0
Suppose -y = h - 4, y - 3*h + 11 = h. Let i be 3 - y - (0 + -59). Suppose 0 = -3*d + i - 4. Calculate the remainder when d is divided by 7.
5
Suppose 4*m + 18 - 86 = 0. What is the remainder when 33 + ((-2)/(-6)*-21 - -6) is divided by m?
15
Suppose 3*v - 3*u = 3, 3*v + 3*u - 21 = -0. Suppose -v*x + 183 = 5*z, 33 = -0*x + x - 3*z. Let p = x - 30. What is the remainder when 22 is divided by p?
10
Let k(l) = l**2 + l - 2. What is the remainder when 152 is divided by k(-7)?
32
Let w = 1204 + -546. Calculate the remainder when w is divided by 33.
31
Suppose -11 = 3*w - 5*y, 0 = 2*w + 2*w - 4*y + 28. Let c = -12 - w. Suppose g - 4*g + 24 = c. Calculate the remainder when 20 is divided by g.
4
Let n = 893 - 834. What is the remainder when 213 is divided by n?
36
Suppose -t + 2*n = -66, -3*t = 5*n - 86 - 68. What is the remainder when 866 is divided by t?
54
Let j(u) = u**3 + 6*u**2 - 2*u. Let t(o) = o**3 + o. Let a be t(0). Suppose a = -4*q + 38 + 46. Calculate the remainder when q is divided by j(-6).
9
Let j = 3151 - 3108. Suppose 0 = -3*d - 5*o + 76, 2*d - 2*o = o + 19. Calculate the remainder when j is divided by d.
9
Suppose 6 = 2*x - 94. Suppose -10*y - 288 = 2*y. Let w = -11 - y. Calculate the remainder when x is divided by w.
11
Suppose 0*m - m - 4 = 0. Let s(t) = 9*t**2 + 6*t + 11. What is the remainder when s(m) is divided by 44?
43
Let b be 50/15*(-6)/(-5). Suppose -b*a = m + m, 3*a = -5*m + 21. Sup