Let f(n) = n**2 - 6*n + 22. Let v be f(6). Let x(w) = 7*w - 67. What is the remainder when x(v) is divided by 30?
27
Let i(o) = -40*o + 577. What is the remainder when i(11) is divided by 48?
41
Suppose 0*m = 3*c + 3*m - 39, -2*c - 3*m = -29. Let d = -6062 + 6131. Calculate the remainder when d is divided by c.
9
Let l = 428 - 264. Suppose 5*s - l = 281. What is the remainder when s is divided by 9?
8
Suppose -22 = k - 4*m - 110, 4*k + 4*m = 392. Calculate the remainder when 399 is divided by k.
15
Suppose -560*m + 46821 = -533*m - 171555. What is the remainder when m is divided by 28?
24
Let j = -2962 - -3138. What is the remainder when j is divided by 2?
0
Calculate the remainder when 755 is divided by 34 + 13/(12 - 13).
20
Let a = 6635 + -6421. What is the remainder when 751 is divided by a?
109
Let s(v) = 734*v - 4792. Suppose 2*m + 2*h = -0*h + 8, -5*h - 34 = -4*m. What is the remainder when s(7) is divided by m?
4
Suppose 63*t - 19338 + 7945 = 18721. Calculate the remainder when t is divided by 161.
156
Let r = 854 - 462. Calculate the remainder when -11*39/(-286)*r/6 is divided by 27.
17
Let k(c) = -c**2 + 19*c + 46. What is the remainder when k(15) is divided by 67?
39
Let h = -720 - -723. Let d be ((-7)/(-4))/((-1)/(-4)). Suppose -f = 0, 0 = u - 3*f - h - d. Calculate the remainder when 28 is divided by u.
8
Suppose -8712 = 6*c - 9108. What is the remainder when 2174 is divided by c?
62
Suppose 4*d = 2*t + 6*d, -4*d = -4*t + 8. Let l be 3*t*(-35)/(-15). What is the remainder when 54 is divided by l*(-3 - (0 + -5))?
12
Suppose -3*g = -4*r + 55, 4*r - g - 2 = 43. Calculate the remainder when 99 is divided by r.
9
Suppose -4*f + f + 99 = 2*y, -4*f + 132 = y. Suppose -139 = -12*g + 1253. What is the remainder when g is divided by f?
17
Let m = 3825 - 3817. What is the remainder when 270 is divided by m?
6
Let a = -3704 + 3736. What is the remainder when 3325 is divided by a?
29
Suppose 4369 + 3401 = 14*d. Calculate the remainder when d is divided by 28.
23
Let l(f) = 3*f + 1. Let a be l(25). Suppose 83*c = a*c + 322. Let w = 111 - -70. Calculate the remainder when w is divided by c.
43
Let p(r) = -3*r + 5. Let i be p(4). Let u(w) = 166*w - 56 + 21*w - 201*w. What is the remainder when u(i) is divided by 22?
20
Calculate the remainder when (-8)/6*(-21 - 6867/84) is divided by 29.
21
Let n(z) = z**2 - 13*z + 33. Let o be n(3). Suppose 5*d = -10*k + 5*k + 190, 142 = o*k - 4*d. Calculate the remainder when 125 is divided by k.
41
Let m(n) = n**2 - 191*n - 2395. Let p = 90 - 52. What is the remainder when m(204) is divided by p?
29
Suppose 1236 = -17*j - 20*j + 43*j. What is the remainder when 435 is divided by j?
23
Suppose -50*b + 27*b - 194 = -2310. Calculate the remainder when 549 is divided by b.
89
Suppose -302059 - 204293 = -77*w. Calculate the remainder when w is divided by 253.
251
Calculate the remainder when (-4)/(-3)*(-8277)/(-178)*4 is divided by 50.
48
What is the remainder when 1426/(((-19)/((-1995)/(-14)))/((-3)/15)) is divided by 29?
22
Suppose -29*f - 315 = -1996 - 1799. Calculate the remainder when 491 is divided by f.
11
Let m(b) = 5*b**2 + 64*b - 350. Calculate the remainder when 752 is divided by m(5).
87
Let n = -3741 + 3780. Calculate the remainder when 171 is divided by n.
15
Suppose 531*d - 567*d - 9726 + 25278 = 0. What is the remainder when d is divided by 96?
48
Suppose m + 8*s - 4*s - 716 = 0, 3*m + 2*s = 2118. Calculate the remainder when m is divided by 180.
164
Let j(i) be the first derivative of 1/4*i**4 - 7/3*i**3 + 22 + i**2 - 11*i. Calculate the remainder when 15 is divided by j(7).
0
Let u(j) = 4*j**2 + 3*j + 14. Let m = -187 + 193. What is the remainder when u(m) is divided by 59?
58
Let o(q) = -846*q - 2500. Let v(m) = m**3 - 7*m**2 - 4*m + 2. Calculate the remainder when v(10) is divided by o(-3).
34
Let b = -6137 - -6164. Let i(v) = -v**3 - 5*v**2 - 2*v. Calculate the remainder when b is divided by i(-5).
7
Suppose h + 23*t - 276 = 18*t, 4*h - 2*t - 1214 = 0. What is the remainder when h is divided by 61?
57
Let o be 3/9 + 2 + 33/(-99). Suppose o*m + 51 = 4*q + 83, -q - 12 = -m. Suppose 4*u + 4*g + 4 = 128, 0 = g. What is the remainder when u is divided by m?
7
Suppose 3*l - 53 = -j, 76 = -8*l - 4*j + 224. Suppose -5*b + 29 + 16 = 0. Calculate the remainder when l is divided by b.
7
Suppose 0 = l + 5*m + 173, -3*m = -2*l + 5*l + 495. Let h = 239 + l. Let o = h + -52. Calculate the remainder when 45 is divided by o.
21
Let o = -658 + 610. Calculate the remainder when 834 is divided by (-1)/(-1)*50 + o/8.
42
Suppose -14*b = -23218 - 1287 - 4237. Calculate the remainder when 6171 is divided by b.
12
Suppose 2*i - 75 = -5*l, -60 = -i - 4*l + 6*l. Suppose -17 = -2*n - 3*s, -3*s - 59 = -190*n + 188*n. What is the remainder when i is divided by n?
12
Let h(k) be the first derivative of -k**3/3 + 4*k**2 - 18*k + 12. Let y be h(11). Let v = 60 + y. What is the remainder when 43 is divided by v?
7
Let d(q) = -15*q**3 - 3*q**2 - 22*q - 51. Calculate the remainder when d(-2) is divided by 19.
6
Let o(l) = -30*l - 7. Suppose k = -2*w + 34, 0*w - 5*w = 5*k - 195. What is the remainder when k is divided by o(-1)?
21
Let i = -24 - -54. Suppose 2*s + 0*s + 5*q = i, -5*s + 2*q + 17 = 0. Suppose -3 - 292 = -s*r. What is the remainder when r is divided by 30?
29
Suppose 0 = 4*x - 3*l + 140, -x + 5*l = -5*x - 172. Let p = -26 - 26. Let d = x - p. Calculate the remainder when 53 is divided by d.
11
What is the remainder when ((-12)/3 - (-122)/10)*5 is divided by (264/18)/(12/18)?
19
Suppose -4*o + m + 321 = 0, -3*o = m - 0*m - 253. Calculate the remainder when 960 is divided by o.
58
Let z(v) = -11*v**2 + 192*v - 9. What is the remainder when 5186 is divided by z(16)?
246
Suppose -5*y = -15, 4*y = -10*u + 7*u + 18. Calculate the remainder when 97 - ((-20)/(-90) - u/9) is divided by 33.
31
Let r(n) = 2*n**2 - 2*n - 15. Let d be r(-3). Suppose d + 33 = h. Calculate the remainder when 203 is divided by h.
35
Let l be 172/2 + (-2 - 0/5). Calculate the remainder when 72 is divided by (5/(-3))/((-7)/l).
12
Let z = -114 - -121. Let f(b) be the second derivative of b**4/12 - 5*b**3/6 + 9*b**2/2 - 3*b. Calculate the remainder when 66 is divided by f(z).
20
Let h = -682 - -815. Let g = 81 - 47. Calculate the remainder when h is divided by g.
31
Let g be 16 + (1 - (-12 - -4)/(-2)). Let t(q) = 3*q**2 - 24*q + 24. What is the remainder when t(g) is divided by 20?
19
Suppose l + 3*l = 40. Let s(k) = -k**2 - 18*k - 7. Let f be s(-6). Let o = 67 - f. Calculate the remainder when l is divided by o.
0
Suppose -21*j = 12*j - 1947. Suppose 0 = -41*o + 1077 + 194. Calculate the remainder when j is divided by o.
28
Let q(i) = -6*i - 19. Let w be q(-6). Suppose 0 = -n + 65 - w. Let f = 110 - n. What is the remainder when f is divided by 22?
18
Let q = 349 + -115. Calculate the remainder when -1*(-7 - (-1 + -2)) + q is divided by 30.
28
Let k = -20684 - -22004. What is the remainder when k is divided by 264?
0
Let u = -7307 - -7503. What is the remainder when 957 is divided by u?
173
Suppose 2*y + 9 + 16 = 3*z, -5*z - 33 = 2*y. Let o(v) = 3*v**2 + 41*v + 17. Calculate the remainder when o(y) is divided by 17.
14
What is the remainder when 13308 is divided by ((-54)/(-120)*(8 + 0))/((-68)/(-2890))?
150
Let m = 21510 - 9068. Calculate the remainder when m is divided by 23.
22
Let o = 207 + -202. Suppose -5*x - 2*f + 79 = 0, -2*x - f - o = -37. Let u = -40 - -67. What is the remainder when u is divided by x?
12
Calculate the remainder when (89/2)/((-130)/(-260)) is divided by (69/(-12))/((-2)/8).
20
Suppose 0 = -12*c + 5*c + 7. Suppose 5*m = 2*m + 2*t + 16, t = -5. Calculate the remainder when m/(16/(-60)*5/(-2)) is divided by c.
0
Calculate the remainder when -1*(-257 + (-3 - -2)) is divided by 9/(-108)*-378 - 10/4.
26
Let p = 5277 - 5248. Calculate the remainder when 548 is divided by p.
26
Let m = -19 - -36. Suppose -3*w + 7*y + 198 = 10*y, 3*y = 0. What is the remainder when w is divided by m?
15
Calculate the remainder when -1*3/9*0 - (-155400)/777 is divided by 51 - 0*2/6.
47
Suppose 20*k = 6*k - 25*k. Suppose k*q = 4*q - 68. What is the remainder when 387/6 - 1/(-2) is divided by q?
14
Let t(j) = -j**3 - 23*j**2 - 23*j - 51. Let q be t(-2