+ l. Calculate the remainder when s is divided by 12.
5
Let f = -747 - -752. Let w = -14 - -22. Calculate the remainder when w is divided by f.
3
Let v = 51 - 47. Suppose -3*r + 58 = 5*a, 4*a = v*r - 106 - 14. Let j = r - 17. What is the remainder when 51 is divided by j?
6
Let t be 30/120 - ((-439)/4 - 1). Suppose 2*r = 4*u - 3*u - t, 0 = 3*r + 3. Calculate the remainder when u is divided by 56.
53
Suppose -4*q - 1459 + 229 = -5*l, -3*l - 3*q + 738 = 0. Let i = -82 + 52. What is the remainder when 3/(-15) - l/i is divided by 3?
2
Let u be 3 + 0 - 18/108*-6. Let p = 2 - 3. Calculate the remainder when 44 is divided by p/(u/18 + 38/(-90)).
4
Suppose y = -n + 3152 + 2592, -y + 22961 = 4*n. What is the remainder when n is divided by 9?
6
Calculate the remainder when 4/6 + ((-852)/(-18) - 13) is divided by 20.
15
Suppose 5357 - 1337 = 93*u - 87*u. What is the remainder when u is divided by 14?
12
Let a be (-5 + 58/(-1))*(-4)/4. Calculate the remainder when 179 is divided by (-3)/(-4) - a/(-12).
5
Let q(u) = 16*u - 132. Let w(g) = 33*g - 265. Let d(c) = -5*q(c) + 3*w(c). What is the remainder when d(9) is divided by 6?
0
Let r(l) = -l**3 - 41*l**2 - 133*l - 697. Let u = -198 + 519. Calculate the remainder when u is divided by r(-38).
21
Let t = -266 - -461. Let x(r) be the first derivative of r**3/3 + r**2/2 - 6*r + 258. What is the remainder when t is divided by x(7)?
45
Let o(f) = -81*f + 34. Suppose 2*b = b - 5*t - 28, 3*t = -15. What is the remainder when o(b) is divided by 70?
67
Let s(v) be the first derivative of v**2/2 + 38*v + 25. What is the remainder when 50 is divided by s(-10)?
22
Let q be (4 + -1 + -3)/1. Calculate the remainder when (-100)/(q + -4) + 1 is divided by -1 + (1 - (-3 - 11)).
12
Suppose k = 3*i - 20 - 42, -5*i + 2*k + 104 = 0. Suppose -7*a = i*a - 621. Calculate the remainder when 40 is divided by a.
17
Let q(v) = 389*v + 40. Let g be q(1). Suppose -4*x + 959 = 5*p, -59 = 2*p + 5*x - g. Calculate the remainder when p is divided by 50.
45
Let a be (-79)/(-7) - (9 - 61/7). Suppose -2*f + 62 = -t, -f + 20 + a = t. Calculate the remainder when 153 is divided by f.
29
Let t(s) = -s - 9. Let y(j) = -j - 18. Let d(f) = 11*t(f) - 6*y(f). Let x be d(2). Calculate the remainder when 20*(15/10 + x) is divided by 3.
1
Suppose -14*w + w + 3588 = 0. What is the remainder when w is divided by 20?
16
Suppose 10*v + 3*k - 369 = 7*v, 2*k = -2. Suppose 2*t - 33 - 7 = d, 3*d = -4*t + 60. What is the remainder when v is divided by t?
16
Let a(i) = i**3 + 11*i**2 + 5*i + 10. Suppose 52*b - 35*b + 51 = 0. Calculate the remainder when 260 is divided by a(b).
59
Suppose 0 = r + 2*r + 2*n - 10, 3*n = -3*r + 15. Suppose -5*c + 4*u + 111 = r, -4*c + u + 25 + 66 = 0. What is the remainder when 43 is divided by c?
20
Calculate the remainder when 204 is divided by 3*(-14)/63*-39*(-1 - -5).
100
Suppose -118 = 20*r - 1318. Suppose r = -u - 3*l + 273, -4*l - 466 = -2*u. What is the remainder when u is divided by 38?
35
Suppose -114*i + 155*i = 677894. What is the remainder when i is divided by 13?
11
Let m = -19365 + 19392. Calculate the remainder when 4531 is divided by m.
22
Let i(g) = -2*g**3 - 36*g**2 - 63*g - 23. Calculate the remainder when i(-17) is divided by 79.
75
Let d = 1193 + -1183. Calculate the remainder when d is divided by (-107)/(-15) - 40/300.
3
Let t be (0 - ((-9)/(-1) - 3)) + 37540. Suppose t = 47*j - 10359. What is the remainder when j is divided by 60?
59
Suppose 12*q - 8*q + 4*g = 352, 5*g - 15 = 0. Calculate the remainder when q is divided by 24.
13
Calculate the remainder when 309 is divided by 0 - ((-39 - 5) + 9).
29
Suppose -6*i = 13 - 151. Let p = 62 - i. Let h(y) = 15*y**3 - 2*y**2 + y + 1. What is the remainder when h(2) is divided by p?
37
Suppose 2*k + 32 = 6*k. Let v(j) = -j**2 + 40 + 2*j**2 + j**3 - 1. Calculate the remainder when v(0) is divided by k.
7
Let v = 5334 - 4854. Calculate the remainder when v is divided by 77.
18
Suppose 0 = -2*t - 15*t - 1989. Let k = t - -209. What is the remainder when k is divided by 41?
10
Suppose 0 = -3*x - 4*h + 7494 - 1756, -2*x + 3848 = -3*h. Suppose -262 + x = -6*u. What is the remainder when 37 is divided by (-8)/(-28) + u/(-14)?
17
What is the remainder when 694 is divided by 240 + -6 + 0/17?
226
Let t(k) = -9*k**3 - k - 1. What is the remainder when (137 + 27 - 6)*1/2 is divided by t(-1)?
7
Let v be (-56)/70*(-515)/2. Let h = 221 - v. Calculate the remainder when 43 is divided by h.
13
Let h(p) = 3*p**2 - 29*p + 18. Calculate the remainder when 2797 is divided by h(10).
25
Suppose -3*q = -27*z + 581250, 58*z = 57*z - 2*q + 21513. What is the remainder when z is divided by 184?
183
Let f(x) be the third derivative of -x**6/120 + x**5/30 - x**4/3 - 25*x**3/6 - 134*x**2. Calculate the remainder when 74 is divided by f(-2).
4
Let b(u) = -u**2 + 50*u - 292. Calculate the remainder when 1502 is divided by b(37).
179
Suppose 0 = -4*f - 5*x + 42, 4795*x - 4793*x = 5*f - 135. Suppose 2*p - 37 = -4*c - 3*p, -3*c - 5*p = -29. Calculate the remainder when f is divided by c.
7
Suppose -19 = -7*x + 16. Suppose z - 2*z + 5 = x*m, -5*m = 5. What is the remainder when 38 is divided by (169/65)/(2/z)?
12
Let h(y) = 13*y - 4. Let p be h(8). Let t(g) = -55 - g - 56 + p. What is the remainder when 19 is divided by t(-21)?
9
Let x(a) be the third derivative of 0*a - 18*a**2 + 83/60*a**5 + 1/3*a**3 + 0 + 1/12*a**4. What is the remainder when x(1) is divided by 10?
7
Suppose 3 = -z + 39. Suppose 20 + 92 = 2*m. Suppose 4*c = 8*c - m. Calculate the remainder when z is divided by c.
8
Suppose 102*b + 3*o = 62*b + 5742, 0 = -2*b - 5*o + 258. Calculate the remainder when 567 is divided by b.
135
Let j(w) = w**3 + 3*w**2 - 10*w + 3. Let t be j(2). Suppose 2*q = 5*b - 262 - 198, t*b - 3*q = 267. What is the remainder when b is divided by 44?
6
Let v = -97 + 24. Let w = -65 - v. Calculate the remainder when 28 is divided by w/32 - ((-126)/8 + 0).
12
Let c = -222 - -203. Let s = 18 - c. Calculate the remainder when 181 is divided by s.
33
Let f be -1 + -2 + 3 + -1. Let l be (121 + -4)*f - -3. Let s = l + 173. Calculate the remainder when s is divided by 12.
11
Suppose -5*s + 2820*l + 70 = 2818*l, 0 = -4*l - 40. Calculate the remainder when 42/(-4)*72/(-14) is divided by s.
4
Let s = 83 + -83. Suppose 6*k - 92 - 16 = s. Calculate the remainder when 71 is divided by k.
17
Let t(b) = b**3 + 14*b**2 - 10*b + 32. Calculate the remainder when t(-10) is divided by 105.
7
Let x(j) = -2*j**2 - 16*j + 28. Let i be x(-10). Let d(w) = -w**3 - 14*w**2 - 34*w + 13. What is the remainder when d(i) is divided by 70?
63
Suppose 377 = 10*i + 3*i. Let b = i - -14. Calculate the remainder when b is divided by 11.
10
Let h(w) = w**3 - w**2 + w. Let q be h(1). Suppose 17*v = q + 220. Suppose -4*k = k - 40. What is the remainder when v is divided by k?
5
Let z = -4637 + 4691. Calculate the remainder when z is divided by 22.
10
Let d(v) = -598*v**2 + 13*v + 14. Let m be d(-1). Let o = -454 - m. What is the remainder when o is divided by 18?
17
Let r be ((-7)/14*5)/(2/(-4)). Suppose 2*x = -9 - r. Let b(n) = n**3 + 5*n**2 - 14*n + 12. Calculate the remainder when 31 is divided by b(x).
7
Let h(m) be the third derivative of m**4/8 - 7*m**3/3 + 180*m**2. What is the remainder when h(15) is divided by 12?
7
Let v = 2339 - 2259. Calculate the remainder when 728 is divided by v.
8
Let g be 5 + (6*2/(-4))/1. Let j(d) = -13*d - 8. What is the remainder when j(-9) is divided by (-1 - -1) + 122/g + -5?
53
Let o(j) = -9*j + 25. Let l be o(-20). Suppose l = 3*i + w, 4*i = -0*i + 4*w + 284. Calculate the remainder when i is divided by 7.
6
Suppose -86*d = -67*d - 646. What is the remainder when 1 + 199 + 11/((-66)/(-12)) is divided by d?
32
Suppose -1650 = 4*w - 5*w. What is the remainder when (4/(-6))/((-20)/w) is divided by -26*(-3)/6 + -27 + 21?
6
Suppose 0*r + 3*r - 1440 = 0. Let n = -476 + r. What is the remainder when 227 is divided by n?
3
Suppose 0 = -4*z + 3*z. Suppose z = 2*c - 4*c + 16. Suppose 5459 + 4120 = 420*t - 111*t. What is the remainder when t is divided by c?
7
Let i = -26 - -36. Let y(f) be the second derivative of f**4/12 - 7*f**3/6 + 7*f**2/2 + 16*f. Calculate the remainder when i is divided by y(7).
3
Suppose 3*c + 477 