 50*c - 24139. Calculate the remainder when 700 is divided by c.
94
Suppose -4*m - 9 = -7*m. Suppose 0 = -4*p + 23 - m. Suppose 0 = -p*j + 460 - 130. Calculate the remainder when j is divided by 34.
32
Let l = -33899 + 34886. Calculate the remainder when l is divided by 249.
240
Suppose -32*r + 94 = -29*r - 5*n, -5*r = 4*n + 16. Suppose 0*i - 2 = -i + 4*x, 4*i + 4*x = -12. What is the remainder when ((-2)/(-4) + i)*-18 is divided by r?
3
Suppose 712*w - 699*w = 1391. What is the remainder when 2458 is divided by w?
104
Let i(q) be the second derivative of -q**5/20 - q**4/2 + 4*q**3 - 3*q**2/2 + q + 9. Calculate the remainder when i(-9) is divided by ((-10)/(-4))/(5/20).
4
Let n be 1*76 - 0/(-1). Let c(w) = -48*w + 673. Let v be c(13). Let s = n - v. Calculate the remainder when s is divided by 15.
12
Let d be 7/((3/(-1))/(-3)). What is the remainder when ((-15)/(-3))/(1/d) is divided by (-4)/(-16) + (-12)/(-8)*(-17)/(-2)?
9
Let v = 5783 - 5741. What is the remainder when 1469 is divided by v?
41
Let x = 43 + -78. Let p = 40 + x. Suppose -p*w + 2*w + 3*m = -3, 15 = 5*m. Calculate the remainder when 19 is divided by w.
3
Let x = -385 + 388. Suppose 0 = -3*o - x*o + 48. Calculate the remainder when 30 is divided by o.
6
Let l(t) = -27*t + 39 + 26*t - t. Suppose 5*a + q = 32, 0 = a + 3*a - 5*q - 43. Calculate the remainder when a is divided by l(17).
2
Suppose 9*y - 5*y - 34 = -2*r, -6*r - 4*y = -78. Let j = 7 - 5. Calculate the remainder when r is divided by j.
1
Let x(f) be the third derivative of 0 + 1/24*f**4 + 0*f + 2*f**3 - 50*f**2. What is the remainder when x(3) is divided by 3?
0
Suppose 0 = -11*f + 15*f - 5*m - 502, 0 = -5*f - 6*m + 652. What is the remainder when f is divided by 55?
18
Suppose 2*y + 2*y - 60 = 0. Suppose y*d - 6*d = 0. Let w(p) = p + 85. What is the remainder when w(d) is divided by 29?
27
Let m(u) = u**2 - 17*u + 27. Let v be m(16). What is the remainder when 49 is divided by (v/(4 - 3))/1?
5
Suppose -2*u + 2*s = 3*s - 6, 0 = 5*u + 2*s - 15. What is the remainder when (u*10)/((-108)/(-378)) is divided by 54?
51
Let q = -222 - -231. Suppose -q = -3*m, -3*f + 3*m = 8*m - 108. What is the remainder when 184 is divided by f?
29
Let c(x) = 3*x**3 + x**2 - x. What is the remainder when 9 - ((-3)/(-4))/((-6)/(-8)) is divided by c(1)?
2
Let l = -585 - -587. Suppose 89 = 2*k + 5*r, 19*r = l*k + 22*r - 91. Calculate the remainder when 103 is divided by k.
9
Let i = -9553 - -10259. Calculate the remainder when i is divided by 34.
26
Let z(h) = h**2 - 48*h - 757. Calculate the remainder when z(-16) is divided by 126.
15
Let x = 8807 + -8773. Calculate the remainder when x is divided by 26.
8
Suppose 4*i + 2*u - 26 = -2, 18 = 3*i - 2*u. Let r(q) = -i - 19*q - 8 + 1 - 22*q. Calculate the remainder when r(-3) is divided by 16.
14
Suppose -b + 35 = 3*b - 5*z, -b - z = -20. Suppose -d - 5*u = 21, 0 = -5*u - 22 + 7. Let h = b - d. What is the remainder when 60 is divided by h?
18
Let b = 60 + -43. Let u(k) = 6*k**2 - 25 + 7 + 1 + b*k + 9. What is the remainder when u(-4) is divided by 12?
8
Suppose 5*l - 1970 = 3*o, 23*l = 18*l + o + 1980. What is the remainder when l is divided by 65?
7
Let r(x) = 2*x - 1. Let n be r(2). Suppose 3*g - 5*m - 105 = -4*m, n*g + 3*m - 105 = 0. Calculate the remainder when 418 is divided by g.
33
Suppose 4*f + 13 = 17, -3*m - 5*f + 74 - 6 = 0. Suppose -5*z + 60 = -t, -z - 8*t = -3*t + 14. Calculate the remainder when m is divided by z.
10
Let f(o) = o**2 + 9*o - 6. Let p be f(-5). Let b(y) = -y**2 - 29*y - 33. Calculate the remainder when b(p) is divided by 6.
3
Let u = -164 - -134. Let j be 5*(-2 - (-2508)/(-15)). What is the remainder when j/(-15) - (-12)/u is divided by 20?
16
Let j be (-123)/41*2/(-3). Suppose 4*h = -0 + 12, 0 = -5*i + j*h + 2434. Calculate the remainder when i is divided by 70.
68
Suppose 66*t + 56*t - 2880 = 58*t. Calculate the remainder when 151 is divided by t.
16
Let n = 9534 + -8633. What is the remainder when n is divided by 151?
146
Let a(x) = x**3 - 8*x**2 - 6*x + 6. Suppose 2*u = -5*b - 16 - 24, -2*b - 274 = -25*u. Calculate the remainder when a(9) is divided by u.
3
Let u(q) = -4*q**3 + 13*q**2 - 69*q - 293. What is the remainder when u(-15) is divided by 74?
73
Calculate the remainder when 100 is divided by (-3)/(3/(-13)) - (-229 + 224).
10
What is the remainder when (-49 + 117)*(-90)/(-40) is divided by 8?
1
Let y(z) = -z**3 + z**2 + z - 2. What is the remainder when (-2668)/87*(-12 + 9) is divided by y(-3)?
30
Let i be 27 - (-4 - -8)/(-4). Let v = 28 - i. Suppose 7*d - 25 - 45 = v. What is the remainder when 18 is divided by d?
8
Suppose 9*i - 11*i + t = 0, -2*t = 2*i. Suppose -7*r + 101 + 158 = i. Calculate the remainder when r is divided by 6.
1
Suppose 36 = 2*w - 2*q - 374, 7*q - 157 = -w. Calculate the remainder when 322 is divided by w.
123
Let d(p) = -p**3 + 4*p**2 + 8*p + 3. Calculate the remainder when 152 is divided by d(4).
12
Let c(z) = -17*z - 6. Let v be c(2). Let g be 5*(-4)/v - 19/(-2). Suppose -g*u = -5*u - 505. What is the remainder when u is divided by 34?
33
What is the remainder when 2786 is divided by (58443/495)/7 + (-3)/(90/(-4))?
15
Suppose c - 4 = 47*h - 46*h, 2 = 4*c + 3*h. What is the remainder when 210 is divided by c?
0
Calculate the remainder when 365 is divided by (124 - 2) + (-1 + 3 - -2).
113
Suppose 8 + 12 = 5*a. Suppose 10 = -a*h + 58. Suppose -8*d + h*d - 228 = 0. What is the remainder when d is divided by 20?
17
Let f(u) = -u**2 - 14*u - 67. Let b be f(-30). Let l = 829 + b. Calculate the remainder when l is divided by 48.
42
Let f = 5576 + -5574. Calculate the remainder when 63 is divided by f.
1
Let g(z) = 8*z + 59. Let o be g(-7). Suppose -3*s + 210 = -3*r, -o*r - 20 = 2*r. What is the remainder when s is divided by 10?
6
Suppose 143 = i - 128 - 65. What is the remainder when i is divided by 5?
1
Let y(g) = 13*g - 49. Let v be y(4). Let m(n) = -2*n + 0*n**2 + 10 - n**2 + v*n + 7*n. What is the remainder when 82 is divided by m(6)?
16
Suppose 0 = 6*l + 4 - 4. Suppose -c + 2*z = -l*c - 84, z - 1 = 0. Let s = c + -50. Calculate the remainder when s is divided by 13.
10
Suppose 81 - 721 = -5*p. Suppose 7*u = -u + p. Suppose -25*o = -u*o - 360. Calculate the remainder when o is divided by 21.
19
Suppose 0 = -9*o + 718 + 2684. Let m(z) = z**3 + 24*z**2 + 21*z - 22. Let l be m(-23). Suppose -l*h - o = -30*h. What is the remainder when h is divided by 22?
19
Let s = -1 + 3. Suppose -463 = 5*l - 188. What is the remainder when (-5874)/l - s/(-10) is divided by 27?
26
Suppose -1141 = -3*j - 355. Suppose 8*v - 4*o = 6*v + 96, -2*o + 180 = 5*v. Calculate the remainder when j is divided by v.
34
Let k(u) = 445*u - 76. Let q be k(4). Suppose 25*l = l + q. What is the remainder when 120 is divided by l?
49
Let g(d) = 1962*d + 19652. Calculate the remainder when 506/4 + (-2)/(-4) is divided by g(-10).
31
Suppose 47585 = 108*d + 223*d - 24*d. What is the remainder when 182 is divided by d?
27
Suppose -9*n + 17*n = 624. Suppose -4*d + n = -y, y + 40 = 2*d - 0*y. Let w(q) = q**3 + 4*q**2 - 5*q + 7. What is the remainder when d is divided by w(-5)?
5
Suppose 0 = -5*w + 25, 16*j - 2*w = 13*j + 56. What is the remainder when 408 is divided by j?
12
Suppose 5*m + 2*w = -2*w + 161, 103 = 3*m + 4*w. Let g = 52 + -41. Let p = m - g. What is the remainder when 34 is divided by p?
16
Suppose -16*q - 3*r + 14 = -14*q, 0 = 4*r + 16. What is the remainder when 466 is divided by q?
11
Let n = -16170 + 17322. Calculate the remainder when 4615 is divided by n.
7
Let n = -609 + 818. Suppose j - 10 = -7, -5*j + 75 = 2*a. Calculate the remainder when n is divided by a.
29
Suppose -61585 + 2253 = -182*t. What is the remainder when t is divided by 15?
11
Let d(z) = -8*z**2 + 3*z - 16. Let r be d(-9). Let f = r - -982. Calculate the remainder when f is divided by 59.
55
Suppose -4*a + 52 = 5*r - 992, 5*a = -6*r + 1253. What is the remainder when 303 is divided by r?
95
Let v = 67 + -46. Suppose 11*h = v*h - 40. Suppose 346 = h*q - 2*q + 3*n, 0 = -2*n. What is the remainder when q is divided by 25?
23
Let o(n) = -9*n - 3*n - 4*n - 1 + 6*n + n**3. What is the remainder when 106 is divided by o(4)?
14
Suppose 2*i - 2*k = -40, 2*k + 32 = -9*i + 7*i. Calculate the remainde