 the remainder when (284/(-20) + 3)*-15 is divided by 27.
6
Let f = 603 + -19. What is the remainder when f is divided by 35?
24
Let u(x) = x - 24. Let w be u(0). Let y = -15 - -30. What is the remainder when 41 - (6/8)/(6/w) is divided by y?
14
Suppose -17 = -5*z + 3. Suppose 2*w - z*w = 2. Let t = 17 - w. What is the remainder when 34 is divided by t?
16
Let r = 1718 - 1650. What is the remainder when r is divided by 50?
18
Let r(h) = -2*h**2 - 24*h + 27. What is the remainder when 8 is divided by r(-13)?
0
Suppose 3664*p - 3651*p - 143 = 0. Calculate the remainder when 184 is divided by p.
8
Let s = -199 - -230. What is the remainder when s is divided by 8?
7
Suppose -5*l + 2445 = -4*n, 0 = -0*n - n - 5. Suppose -x = -4*y - y - 97, y = -5*x + l. Let c = x + -55. Calculate the remainder when c is divided by 11.
9
Let u(t) = t**2 - 2*t - 6. Suppose -10 = 3*y + 2*s, 5*y + s = -2*s - 17. What is the remainder when (-6)/21 + (-1 - (-508)/14) is divided by u(y)?
17
Suppose 5*y = 41 - 36. Let o(v) = 34*v + 2. What is the remainder when o(y) is divided by 20?
16
Let o be 0/2 + 2 - -5. Let h = -70 - -73. Let l = o - h. Calculate the remainder when 18 is divided by l.
2
Let d(n) = 2*n**2 - 12*n + 3. Let c = -2 - -8. Let b be d(c). What is the remainder when 21 is divided by 0 - b/((-6)/22)?
10
Let v = 88 + -82. Suppose v*a = 198 + 96. Calculate the remainder when a is divided by 26.
23
Let b(c) = -c**3 + 12*c**2 - 10*c - 15. Let q be b(11). Suppose 50 = 4*j - 6. What is the remainder when ((-30)/q)/(24/80) is divided by j?
11
Let p = -7 - -37. Calculate the remainder when 36 is divided by p.
6
Let d = -74 + 64. Let f(b) = -b**2 - 22*b - 8. What is the remainder when f(d) is divided by 23?
20
Suppose -3*k - 74 = -86. Calculate the remainder when 22 is divided by k.
2
Suppose 2*a - 11*g + 15*g - 52 = 0, g + 131 = 4*a. What is the remainder when 189 is divided by a?
29
Let k = -1349 + 1456. Calculate the remainder when k is divided by 32.
11
Let p(u) = -u**3 - 13*u**2 + 30*u + 1. Calculate the remainder when p(-15) is divided by 1.
0
Let i = 53 - 46. What is the remainder when 9 is divided by i?
2
Let l = 261 - 320. Let o(j) = -j**3 + 124. Let u be o(0). Let h = u + l. What is the remainder when h is divided by 17?
14
Suppose 12 = 3*y - 2*a, y + 8 = 3*y - 2*a. Suppose 5 = -5*d, -3*p + 5 = y*d - 6. What is the remainder when (2/(-4))/(3/(-84)) is divided by p?
4
Suppose 14 = -3*x + 14. Suppose 2*t + 8*t - 280 = x. Calculate the remainder when t is divided by 17.
11
Let k = 319 + -304. Calculate the remainder when 19 is divided by k.
4
Let d = -4 - -6. Let a(n) = -n**3 + n**2 + 3*n. Let r be a(-1). Let h = d - r. What is the remainder when h is divided by 3?
0
Suppose -4*p + 4*x + 420 = 0, 0*p = -4*p - x + 420. Suppose b + 567 = 5*m, -m + 2*m + 4*b = p. Calculate the remainder when m is divided by 29.
26
Let v(d) = d + 6. Let c be v(3). Let f(h) = -h**3 + 11*h**2 - 11*h - 16. Calculate the remainder when f(c) is divided by (8/(-5))/((-8)/60).
11
Suppose -d = -5*j + 65, 0*d = 2*d + 4*j + 74. Let b(n) = -2*n - 3. Calculate the remainder when 3 + (-2)/(10/d) is divided by b(-5).
5
Suppose 2*u - 110 = c + 11, 0 = -u + 3*c + 73. Calculate the remainder when u is divided by 15.
13
Let m(u) = -16*u - 160. What is the remainder when 110 is divided by m(-11)?
14
Let b(j) be the first derivative of -j**3 - 9*j**2/2 + 18*j - 8. Let p be b(-14). What is the remainder when p/(-6) - (2 - 2) is divided by 19?
17
Suppose 0 = -4*l + 4, -3*q + 2*l - 8 = -0. Let j(r) = -2 - 1 - 4 - 2*r - r**3 + 4. Calculate the remainder when 34 is divided by j(q).
7
Let h = 718 - 694. Calculate the remainder when 153 is divided by h.
9
Suppose -29 - 28 = -19*k. What is the remainder when 56 is divided by k?
2
Let d = -10 + 15. Let s be 1/(1 - 3/4). Suppose 3*h = -4*t + 84, -s*h + h = d*t - 102. Calculate the remainder when t is divided by 5.
3
Suppose -3*l - 4 = -4*l. Calculate the remainder when (-25 + 4/l)*-1 is divided by 9.
6
Suppose -b = 4*a - 18 - 3, 0 = 3*a + 3*b - 9. Suppose 2*q = -2, a*z - 3*q = 3*z + 120. Calculate the remainder when z is divided by 10.
9
Let u(k) = -k**3 - 8*k**2 - 13*k - 5. Let b be u(-6). Let m be (10/b + 1)/(-1). Let o = m - -39. Calculate the remainder when o is divided by 15.
13
Let b = -277 + 289. What is the remainder when 83 is divided by b?
11
Suppose 342 = 832*h - 826*h. What is the remainder when 179 is divided by h?
8
Let x(b) = -6*b + 88. What is the remainder when 236 is divided by x(9)?
32
Suppose 9 = 3*b, 3*y + 78 + 12 = -5*b. Let o be (-4)/7 - 335/y. Suppose 3*d - 84 = -3*j - o, 4*d - 80 = j. What is the remainder when 83 is divided by d?
20
Calculate the remainder when 76 is divided by (11 - 5) + (9 - 2).
11
Let a(b) = -2*b**2 - 38*b + 20. What is the remainder when 218 is divided by a(-19)?
18
Suppose -2*n - 2*h - h + 31 = 0, n = -4*h + 18. Let l(o) = 20*o - 7. Let i be l(3). Let m = -28 + i. What is the remainder when m is divided by n?
11
Let w(u) be the first derivative of 4*u**3/3 - 3*u**2/2 - 5*u + 3. Calculate the remainder when w(4) is divided by 17.
13
Let p(l) = 56*l - 103. Calculate the remainder when p(7) is divided by 29.
28
Suppose -3*l - 3*n + 100 = -l, -2*l = 2*n - 104. What is the remainder when (218/(-4))/((-119)/238) is divided by l?
53
Suppose -433 = -h - 3*c, 0 = -4*c - 6 + 14. What is the remainder when h is divided by 12?
7
Suppose 22 = t + 2. Suppose 34238 = -5*o + k, 2*o - 3*o + k = 6846. What is the remainder when 4/22 + o/(-88) is divided by t?
18
Suppose -6*b + 84 = -0*b. Let w = -258 + 263. What is the remainder when b is divided by w?
4
Suppose 10 = 4*w - 2. Calculate the remainder when 8/36 + 214/9 is divided by w/(12/(-16)) + 13.
6
Let p = 1186 - 976. What is the remainder when 633 is divided by p?
3
Suppose -5*j = o - 31, 3*o + 32 = -4*j + 114. Calculate the remainder when o is divided by 14.
12
Let t be -42*(-4)/4 + -3. What is the remainder when (-6)/t - (-1724)/52 is divided by 12?
9
Let a(u) = -2*u + 43. Let h(g) = -g**3 + 8*g**2 + 14*g - 13. Let k be h(9). Let o = -16 + k. What is the remainder when a(-9) is divided by o?
13
Let f = 354 + -115. Calculate the remainder when f is divided by 16.
15
Let x = 5 - -11. Let g = 45 - x. What is the remainder when 113 is divided by g?
26
Let b = -15 + 14. Let l be b - (-1)/((-1)/(-6)). Suppose l*r - 73 + 13 = 0. What is the remainder when 22 is divided by r?
10
Suppose 0 = 3*q - 12 - 0. Suppose q*b = s + b + 49, 4*s = -5*b - 128. Let i = -23 - s. Calculate the remainder when i is divided by 6.
2
Suppose 2*g = -16*g + 36. Suppose 28 = 2*a - 5*q, -a = a - g*q - 40. Suppose 470 = 5*b - 0*b - s, -191 = -2*b + s. What is the remainder when b is divided by a?
21
Suppose -2*i - 3*d + 1258 = 0, -5*d + 7*d = -2*i + 1256. Calculate the remainder when i is divided by 63.
59
Suppose -19 = -3*b + f, b + 12*f + 3 = 10*f. What is the remainder when b is divided by 2?
1
Suppose 39 + 81 = 5*s. Calculate the remainder when (-8)/3*(-810)/s is divided by 19.
14
What is the remainder when 44 is divided by 5 - (-1 - -6 - (-26)/(-1))?
18
Calculate the remainder when 99 is divided by 147/3 - (21 - 15).
13
Suppose 0 = 6*i - 10*i. Suppose -4*z + 3*y + 22 = i, 0*y - y + 6 = 2*z. Suppose -z*d = -d - 141. Calculate the remainder when d is divided by 12.
11
Let y(b) = -13*b - 1. Let g be (-48)/10 + (-14)/70. What is the remainder when 47 - ((-1 - g) + -3) is divided by y(-1)?
10
Suppose -11*l - 12*l + 92 = 0. Suppose -3*u - l*d + 3 = -10, 2*d - 31 = -5*u. Calculate the remainder when 11 is divided by u.
4
Suppose 8*g + 22 = -154. Let o = g + 59. What is the remainder when 110 is divided by o?
36
Suppose -564 = 527*x - 530*x. Calculate the remainder when x is divided by 7.
6
Suppose -5*p = 2*o - 191, 2*p + p - 3*o = 123. Suppose -2*d + 8 = 6. Suppose 104 = 5*b - d. What is the remainder when p is divided by b?
18
Suppose 223 = 5*z - 4*d - 59, 0 = d + 3. What is the remainder when z is divided by 34?
20
Let h = -24 - -40. Let l(a) = -a**2 + 11*a - 8. Let g be l(8). What is the remainder when 49 - g/(2 - -2) is divided by h?
13
Suppose -4*z = 5*k - 269, 2*k + 2*z - 55 = k. Let s(t) = -t**3 - 5*t**2 - 2*t + 8. Let y be -1 + 2 + -8 + 2. What is the remainder when k is divided by s(y)?
17
Suppose 