 = 78*f + 684. Let p = -121 - -228. What is the remainder when p is divided by f?
17
What is the remainder when 466 is divided by (-106)/371*(-7)/2 + 55 - 3?
42
Let t = -45176 + 45251. What is the remainder when 463 is divided by t?
13
Suppose 21*a = -23*a + 1496. Suppose 0 = -a*c + 10039 + 841. Calculate the remainder when c is divided by 36.
32
Suppose i - 5*l = 13871, -416*i + 414*i = 5*l - 27697. What is the remainder when i is divided by 28?
24
Suppose -3*p + 4 = -5, i - 2*p = 45. Suppose -25*q - 1951 = -34676. Suppose -12*x - 109 = -q. Calculate the remainder when x is divided by i.
49
Suppose c - 18 = 3*q + 34, 3*c + 5*q = 100. Suppose -c*h + 32*h = -128. Calculate the remainder when 24 is divided by h.
8
Let i = 1469 - 2148. Let y = 963 + i. What is the remainder when y is divided by 22?
20
Let r = -5060 - -5069. What is the remainder when 47 is divided by r?
2
Let g be (1 - 5490/(-27)) + (-1)/3. Suppose -3*m + g = 3*m. What is the remainder when 50 is divided by m?
16
Suppose -3*j + j = -3*i - 33, -5*j + 4*i + 86 = 0. Suppose -r - 3*r + 2*y = -j, 5*r + y - 26 = 0. Calculate the remainder when r is divided by 1.
0
Let o(t) be the second derivative of t**5/20 - 17*t**4/12 + 14*t**3/3 + 61*t**2/2 - t + 2. Calculate the remainder when 154 is divided by o(15).
30
Suppose 0 = -5*n - 0*n + 1005. Let r = -110 + n. Let y = r + -62. What is the remainder when y is divided by 8?
5
Let b = -3481 - -3527. Let y(u) = -u**2 + 3*u**2 - u**2 - 4 - 3*u. What is the remainder when b is divided by y(-4)?
22
Suppose 5*b - 170*q = -175*q + 65, q = -4*b + 64. What is the remainder when b is divided by 2/(-2) - (-10 + -1)?
7
Suppose 3*g - 3*j - 29 = -2, -j = 4. Suppose -8*w + g*w = -33. Suppose -11*b + 35 = -4*b. Calculate the remainder when w is divided by b.
1
Let k(f) = -2*f**3 + 4*f**2 - 10*f - 31. What is the remainder when 446 is divided by k(-3)?
1
Let l = 2373 + -4653. Calculate the remainder when 319 is divided by (l/(-25))/2 - 2/(-5).
43
Let d = 3247 - 2736. What is the remainder when d is divided by 249?
13
Suppose 15*s + 64 = 11*s. Let z be (-16)/s - 27/1. Let a = -15 - z. Calculate the remainder when 41 is divided by a.
8
Calculate the remainder when 1036 is divided by (-3201)/(-12) + -1 + 25*(-10)/(-1000).
238
Suppose -146*u + 43988 + 20017 = 12759. Suppose -r - 4*r + 220 = 0. What is the remainder when u is divided by r?
43
Suppose 259*j - 262*j + 6 = 0. Suppose 2*d - c + 240 = 3*d, 0 = -3*d - j*c + 716. What is the remainder when d is divided by 30?
26
Let o = 171 - 20. Suppose -6*a = -3*i - 11*a + o, 3*a = -4*i + 216. Calculate the remainder when i is divided by 29.
28
Let g = -5476 + 5493. Calculate the remainder when 15212 is divided by g.
14
Suppose -19*b - 1800 = -4*b. Let z = 241 + b. What is the remainder when z is divided by 45?
31
Suppose 0 = 4*t + b - 274, 3*t = -b - b + 203. Suppose -4*z - 11 = g + 1, 3*g = -5*z - 1. Calculate the remainder when t is divided by g.
5
Suppose 0 = j - 7*j + 12. Suppose 6*c - c = -5, -5*d + 707 = -j*c. Suppose -7*m + d = -349. Calculate the remainder when m is divided by 13.
5
Suppose 0 = 4*t - 9*t + 30. Suppose 1 = t*a - 17. Suppose a*w + 2*h - 61 = -6, 4*w - 50 = 2*h. What is the remainder when w is divided by 4?
3
Let b(d) = 18*d**2 - 4 + 28*d**3 + 5*d - 14*d**2 - 29*d**3. What is the remainder when 31 is divided by b(4)?
15
What is the remainder when 2703 is divided by (-627)/(-76)*24/9?
19
Suppose -2*i + 604 = 8*z - 3*z, 0 = -4*z + i + 478. Suppose -21*c + z = -6*c. What is the remainder when 77 is divided by c?
5
Suppose 7*g - u + 2030 = 12*g, 0 = g - 5*u - 432. Let v = -229 + g. Calculate the remainder when v is divided by 26.
22
Suppose -7*r - 12 = -13*r. Suppose s - 5*s = r*a - 48, -4*s + 34 = -5*a. Calculate the remainder when 86 is divided by s.
9
Suppose -3*z = z - 4*w + 8, 0 = 2*z - 4*w + 8. Calculate the remainder when 150 is divided by (z - (-2 + 21/9))*-69.
12
Suppose 10*c - 16*c = 18. Let q = c - -57. What is the remainder when q is divided by 43?
11
Suppose 1288*b - 1274*b - 252 = 0. What is the remainder when 152 is divided by b?
8
What is the remainder when -3 + -2 + (-15 - 5 - -73) is divided by 18?
12
Let t be 2*(-2 - -7)/(-10). Calculate the remainder when 628 is divided by t/2 - (-1 + (-246)/12).
19
Let c = 7748 - 7334. Calculate the remainder when c is divided by 379.
35
Let r(t) = -t**3 - 126*t**2 + 136*t + 1175. Calculate the remainder when 150 is divided by r(-127).
22
Suppose -3*l + 92 = -211. Suppose -2*k + 5*k = 2*o - l, 2*o - 121 = -k. Calculate the remainder when 171 is divided by o.
55
Suppose 0 = 40*b - 43*b + 9. Suppose -4*i + b = 4*s - 93, 0 = i + 4. Suppose 2*d - 3 = -d + 4*r, -5*d = r - s. What is the remainder when 9 is divided by d?
4
Let f(q) be the third derivative of q**6/40 - 7*q**5/60 + 5*q**4/12 - 16*q**3/3 - 16*q**2 - q. Calculate the remainder when 105 is divided by f(3).
9
Let n(c) = 58*c**3 - 8*c**2 + 9*c - 1. Let u be n(1). Suppose -196 = -6*s - u. What is the remainder when 480 is divided by s?
20
Suppose 0 = 2*d - l - 234, 0*l - 5*l = -3*d + 365. Let o = -69 + d. What is the remainder when o is divided by 10?
6
Let m be 33/(-132) - 545/(-4). What is the remainder when 101 is divided by m/(-16)*(1 + -8 + 1)?
50
Let x = 19 - 10. Suppose 4*w = -w + w. Suppose -2*r - 6 = w, 4*r = -3*n - 18 + 54. Calculate the remainder when n is divided by x.
7
Suppose k - 28 = -w - 3*w, 73 = k - 5*w. Calculate the remainder when k is divided by (-10)/25 + (-4)/60*-186.
0
Suppose -4*n + 30 = 18. Suppose -3*s - 3*c + 15 = -0*s, -n*c + 15 = -5*s. Suppose s = 6*t - 88 - 20. Calculate the remainder when 52 is divided by t.
16
What is the remainder when 258 is divided by (-4 + -16 - -21)/(2/182)?
76
Let t be (-132)/(-60)*15/(-3). What is the remainder when (-10572)/(-66) + (2/t - 0) is divided by 18?
16
Suppose 4*w - 6*w - z + 16 = 0, 0 = -w - z + 6. What is the remainder when 285 is divided by w?
5
Suppose 2*v - 7 = 3*y, 3*v = -0*y - 4*y + 53. Suppose 3*r = 7 + v. Let k(s) = s**2 - 6*s + 4. Calculate the remainder when 10 is divided by k(r).
2
Suppose 0 = 17*n + 29*n - 92. Suppose -5*r + n*p + 10 = -56, -3*p + 48 = 3*r. Calculate the remainder when 38 is divided by r.
10
Suppose 25*y - 595 = 18*y. Suppose -5*x = -2*g + 2 + y, -3*g + 118 = 5*x. What is the remainder when 79 is divided by g?
38
Let t(x) = 299*x - 1482. What is the remainder when 6339 is divided by t(5)?
8
Suppose 987 = 3*f - 2*g, 8*g - 10*g - 325 = -f. Calculate the remainder when f is divided by 68.
59
Let v = 9903 + -8975. What is the remainder when v is divided by 37?
3
Let w(k) = -10506*k - 346612. Suppose i - 7 - 2 = 0. What is the remainder when w(-33) is divided by i?
5
Suppose -3*a + 140 = -5*v - 320, 5*v = -4*a + 625. Let f = a - 142. Suppose 19 + 27 = n. Calculate the remainder when n is divided by f.
7
Suppose -12 = -4*o + 12. Let d be -6 - 958/(-14) - 6/14. Suppose -57*w - 110 = -d*w. Calculate the remainder when w is divided by o.
4
Suppose -5*i = -0*i - 565. Suppose -4*t + w + 1598 = -1465, 2*t - 1518 = -4*w. Let x = t - 736. What is the remainder when i is divided by x?
26
Suppose -3*p + y = -2686, 2671 = 3*p - 34*y + 30*y. What is the remainder when 5382 is divided by p?
0
Suppose 55*o + 109*o = -240*o + 142612. What is the remainder when o is divided by 351?
2
Suppose -6*n + 23*n - 306 = 0. Suppose 0 = 4*m - 7*m + n. Let r(b) = 2*b**2 + 2*b + 1. What is the remainder when r(-5) is divided by m?
5
Let a(u) = 12*u**2 - 122*u + 968. What is the remainder when a(7) is divided by 437?
265
Suppose 0 = 5*q - 2*v - 958, -3*q = -2*v - 2*v - 586. What is the remainder when 745 is divided by q?
175
Suppose f - 2*q - 17 = 0, 50 = 11*f - 8*f - 5*q. Let c be (-3)/12 + 3/(-4). Calculate the remainder when f is divided by 5/(10/16) - c.
6
Suppose 15 = -3*n + 5*w, n - 2*n + 6 = 2*w. Suppose n*i = -5*i + 955. Calculate the remainder when i is divided by 64.
63
Let k = 4843 - 4775. Calculate the remainder when 69 is divided by k.
1
Let y(s) = -s**3 + 18*s**2 + 87*s - 733. Calculate the remainder when y(8) is divided by 16.
11
Let b be 22*(-2)/8*-2. Let t = b - -23. Suppose -23*z = -17*z - 1014. What is the remainder when z is divided by t?
33
Suppose -t = -2*r - 139, 20*r - 19*r = 3*t - 442. What is the re