uppose k*o - 74 = 71*o. Calculate the remainder when o is divided by x.
5
Let s(y) = -y**2 - 216*y - 5187. What is the remainder when s(-47) is divided by 908?
32
Suppose 10*h + 96 = 4*h. Let u be h/24 - (-17)/3. Suppose 0*k + 3*w + 306 = 5*k, 5*k = -u*w + 330. What is the remainder when k is divided by 24?
15
Suppose 3600 = -3*h + 8*h - c, 3*h - 2160 = -3*c. What is the remainder when h is divided by 50?
20
Let b be (4/(-12))/(1/(-3)). Let r = 1234 + -1204. Calculate the remainder when 88 - (-6)/(-3) - b is divided by r.
25
Suppose 48*d + 384 = 56*d. What is the remainder when 3*(27 + -1 + 56/84) is divided by d?
32
Calculate the remainder when 3212/24 - 25/30 is divided by (-1232)/(-33) - ((-12)/18 - -1).
22
Let c(f) = -10*f - 73. Let w be c(-8). Suppose 0 = -s + 2*y + 12, 4*y = s + y - w. Calculate the remainder when 129 is divided by s.
19
Let d(q) = q**2 + 11*q - 34. What is the remainder when d(24) is divided by 396?
14
Suppose 12*z = 16*z - 56. Let q(i) = 2*i**2 + 9*i - 6. Calculate the remainder when q(-9) is divided by z.
5
Suppose -1897 = -22*k + 3911. Calculate the remainder when 321 is divided by -8 - -3 - k/(-12).
15
Suppose -13*i - 560 = -5*i. What is the remainder when 9 is divided by 114/21 + -8*5/i?
3
Let u be -2 - 62/(-10) - (-5)/(-25). Let w = -8 - -11. Suppose -2*r + 37 + w = -4*n, 0 = 2*n - u. Calculate the remainder when r is divided by 6.
0
Suppose -4 + 12 = -4*t, 6 = 5*u - 3*t. What is the remainder when 41 is divided by (3 + u)*(159/9 - 8)?
12
Let m = 3204 + -3184. What is the remainder when 10894 is divided by m?
14
Let t be ((-2)/3)/(-1 - (-72)/81). Suppose -a + 1 = 0, -5*a + 95 = t*s - s. What is the remainder when 191 is divided by s?
11
Suppose -445 - 7211 = -12*i. Calculate the remainder when i is divided by 10.
8
Calculate the remainder when 0 + 244 - (-19 - -25) is divided by 26.
4
Suppose 10*h - 211 - 169 = 0. Let v = h + -28. Suppose v*m - 315 = 5*m. Calculate the remainder when m is divided by 32.
31
Let r be 1 + ((-142)/(-10))/((-21)/(-105)). Suppose 2*x - 22 = r. Let c = 20 + -10. What is the remainder when x is divided by c?
7
Suppose 4 = -g + 2*t, -4*t = -3*g - t - 3. Let c(u) = 6 - 2 + u + g*u**2 + 0 + 1. What is the remainder when 81 is divided by c(4)?
40
Suppose 2*y + 294 = 5*h, -2*h = y + 3*y - 132. What is the remainder when 9539 is divided by h?
59
Let p = -3618 - -3659. What is the remainder when 50 is divided by p?
9
Let p = 648 + -593. Let f(j) = -j**2 + 56*j - 36. What is the remainder when f(22) is divided by p?
52
Suppose -5*h + 2*h = 15. Let b be h + 34*1/2. Suppose -52 = -3*c + 5*o, 0 = 3*o + 3 + b. What is the remainder when c is divided by 3?
0
Suppose 113*g - 864 = 130*g - 65*g. Calculate the remainder when 628 is divided by g.
16
Let b(g) = -g**2 + 20*g + 65. Let v be (13 + -12)/(-1 + 45/42). What is the remainder when b(v) is divided by 10?
9
Suppose 0 = -8*p + 6*p + 7*p - 125. Calculate the remainder when 472 is divided by p.
22
Let n = -652 + 719. Suppose -3*g - 4*d + 2*d = -97, 4*d = 3*g - n. Calculate the remainder when 374 is divided by g.
26
Suppose -4*x = -a + x + 47, -4*a + 188 = 3*x. What is the remainder when 2584 is divided by a?
46
Let o = -1803 + 1886. Suppose -6*z + 0*z = -264. What is the remainder when o is divided by z?
39
Let y(n) = -370*n**3 - 13*n**2 - 6*n - 4. What is the remainder when y(-1) is divided by 90?
89
Calculate the remainder when 10/(-25)*-1 - (-16653)/105 is divided by 38.
7
Calculate the remainder when 1/((73108/(-14622) - -5)*3) is divided by 222.
217
Let w(s) = -2*s**3 - 13*s**2 + 2*s + 48. Let u be w(-6). Suppose u = -11*t + t + 510. What is the remainder when 201 is divided by t?
48
Suppose -5*m = 5*t - 162 - 278, -3*m + 252 = -3*t. Calculate the remainder when 544 is divided by m.
28
Let a = -5717 + 6198. What is the remainder when a is divided by 70?
61
Suppose 5*n = -5*h - 135, -n + 96 = -4*h - 2*n. Let r = 36 + h. Suppose 61 = 4*b + r. What is the remainder when 44 is divided by b?
8
Let b be 2 + 21*4 + (3 - 2). Suppose 22 = 5*p + b. Let h(q) = -q**3 - 13*q**2 - q + 28. Calculate the remainder when h(p) is divided by 15.
11
Suppose 3*x - g = 8*x - 13, 0 = -3*x + 5*g - 9. Suppose y + x*b = -90, 2*y + 140 = 2*b + 2*b. Let k = -13 - y. What is the remainder when k is divided by 34?
33
Let c = -717 + 1026. Suppose 3*k = 5*d + c, 12*d = -2*k + 11*d + 219. What is the remainder when k is divided by 30?
18
Let l = 35216 + -35207. Calculate the remainder when (-9)/12*-1*92 is divided by l.
6
Let c(b) = b**2 - 7*b + 16. Let m be c(3). What is the remainder when m/(-3) + (-78)/(-18) + 46 is divided by 31?
18
Let f = 14 - 3. Let h(t) = t**3 + 21*t**2 + 38*t + 44. What is the remainder when h(-19) is divided by 9/9 + 1*f?
8
Let c = -2224 - -5457. Suppose -4*s = -9*s - 3*p + c, 4*s - 3*p = 2581. Suppose 6*m - s = 242. What is the remainder when m is divided by 38?
34
Let f = 129 + -126. Suppose 3*r + 120 = 3*k, -5 = -2*r + f. Calculate the remainder when 124 is divided by k.
36
Suppose 2*n - 72 = -4*u - u, 2*n - 60 = -2*u. Let z be (72/(-10))/(n/3835). Calculate the remainder when ((z/4)/(-9))/(2/4) is divided by 21.
17
Let t(n) be the third derivative of -n**5/60 - 23*n**4/24 - 19*n**3/2 - 152*n**2. What is the remainder when t(-14) is divided by 19?
12
Let w(k) = 137*k**2 - 1070*k + 4254. Calculate the remainder when w(4) is divided by 32.
22
Suppose 18*l + 8812 = 83*l - 4773. Calculate the remainder when 621 is divided by l.
203
Let g(u) = 2*u**3 - 5*u**2 - 30*u + 106. What is the remainder when 201 is divided by g(4)?
31
Let g(o) be the first derivative of o**3/3 - 63*o - 33. Let p = -7 - -12. Calculate the remainder when g(9) is divided by p.
3
Let t be (7 + -9)*(2 + 12/(-8)). Let y(s) = -119*s + 26. Calculate the remainder when y(t) is divided by 130.
15
Calculate the remainder when -3 - -60 - (4 - 2) is divided by (72/(-81))/((-2)/8*44/99).
7
Let d be (-5 + 2)/(4/((-22440)/9)). What is the remainder when (9/5)/(102/d) is divided by 4?
1
Let u = 153 + -148. Suppose 0 = -2*z - 5*m + 47, u*z = 3*z + 5*m + 77. What is the remainder when 75 is divided by z?
13
Suppose u = -u + 5*d + 270, -u = 4*d - 109. Suppose 0 = -6*y + 13 + 113. Calculate the remainder when u is divided by y.
20
Suppose -7*j = 49 - 154. What is the remainder when 36/198 + 854/22 is divided by j?
9
Let q be (2/(-4 - -6) - 6) + 267. Let g = 293 - q. Calculate the remainder when 60 is divided by g.
29
Let p be -1 - (-3 + 2 + -3). Suppose 2*c + 19 + 30 = 3*z, 5*z - 69 = -p*c. What is the remainder when (-9)/(207/(-3080)) + 332/3818 is divided by z?
14
Let y = 3977 - 3964. Calculate the remainder when 346 is divided by y.
8
Let t(o) = -o**3 + 16*o**2 - 37*o - 5. What is the remainder when 653 is divided by t(6)?
121
Suppose 3*i + 20*p - 180 = 23*p, 2*i = 3*p + 123. Calculate the remainder when 281 is divided by i.
53
Let d(j) = -410*j - 3750. What is the remainder when d(-10) is divided by 171?
8
Let m be 453/9 + (-14)/42. Suppose -5*k + 4*r = 16 - m, r = -1. What is the remainder when 52 is divided by k?
4
Let g(p) = p**3 - 12*p**2 + 6*p - 43. Suppose -4*c + 48 = 2*n, -8*c + 3*c - 2*n = -60. What is the remainder when 82 is divided by g(c)?
24
Suppose 4*g - 499 = -4*l + 1369, -l + 473 = -g. Let w = l + -438. Calculate the remainder when w is divided by 13.
6
Suppose 27*m = 23*m - 24. Let j = m + 20. Suppose j*d - 69 = 11*d. Calculate the remainder when d is divided by 13.
10
Let p = -16 + 11. Let s = p + 23. Suppose -31 = -4*c - 11. What is the remainder when s is divided by c?
3
Suppose 8*y - 11 = 5. Suppose -5*x + j = -508, 66 = x - y*j - 32. Calculate the remainder when x is divided by 26.
24
Let v(c) = -c**2 + 8*c - 9. Let q be v(3). Suppose -q*t + 72 + 18 = 0. Calculate the remainder when 27 is divided by t.
12
Suppose -809 = 237*m - 233*m - 2029. Calculate the remainder when m is divided by 12.
5
Let z = -36 + 77. Let q = -70 + -226. Let y = 318 + q. What is the remainder when z is divided by y?
19
Let w(j) = j**3 - 8*j**2 + 5*j - 10. Let b be w(8). What is the remainder when 88 is divided by ((-3)/(-1))/(5/b)?
16
Suppose -2*h + 365 = i - 3*h, 341 = i + 5*h. Suppose -2*m - 1260 = -5*o - 1116, 21 = -3*m. Calculate the remainder when i is divided by o.
23
Let f = -18108 - -18941