the remainder when i(1) is divided by 24.
23
Let p = -976 - -1254. Calculate the remainder when p is divided by 70.
68
Let b be 4 + 42 - (-2 - 1). Suppose -u - 3*a = 2*a - 21, -5*u + 3*a = -b. Calculate the remainder when 43 is divided by u.
10
Suppose 820 = 14*p - 1140. What is the remainder when p is divided by 24?
20
Let v(f) = 4*f**3 + 4*f**2 - 4*f - 23. What is the remainder when v(5) is divided by 17?
13
Let s = 240 - 200. Calculate the remainder when s is divided by 14.
12
Let t(c) = -4*c - 27. What is the remainder when t(-14) is divided by (5 + -11)*(-2 - -1)?
5
Let r(c) = -2*c**2 + 11*c + 20. Calculate the remainder when 110 is divided by r(6).
12
Calculate the remainder when 56 + (-2)/(-8) + 24/(-96) is divided by 49.
7
Suppose 0 = 8*y - 5*y - 153. Suppose 6*r - y = -3. Calculate the remainder when 21 is divided by r.
5
Suppose -4*k + 3*r + 39 = 0, -k - 5*r + 12 = -15. Let v = -49 + 71. What is the remainder when v is divided by k?
10
Suppose -u + 26 = r, u + 38 = 2*u - 5*r. What is the remainder when u is divided by 18?
10
Let y = -382 + 423. What is the remainder when 1721 is divided by y?
40
Let m = -567 + 582. Calculate the remainder when 49 is divided by m.
4
Let q be 726/12 - (-9)/(-6). Let x = q + -37. Calculate the remainder when x is divided by 8.
6
Let o = 360 + -205. Suppose -o = -4*j - 31. Suppose 0 = 3*h + 2*h - 80. Calculate the remainder when j is divided by h.
15
Let m(o) = o**3 - 11*o**2 - 17*o - 50. What is the remainder when 868 is divided by m(13)?
64
Let w(o) be the first derivative of 3*o**2 - 16*o - 2. Calculate the remainder when 128 is divided by w(7).
24
Suppose -167*y - 750 = -177*y. Calculate the remainder when 523 is divided by y.
73
What is the remainder when (-4)/16 + 402/8 is divided by (-30)/(-10) + 8 - 8?
2
Let g = 143 + -215. What is the remainder when ((-7)/4)/(7/(-28)) is divided by (5/3)/((-60)/g)?
1
Let d = -403 - -612. What is the remainder when d is divided by 53?
50
Let j(m) = 2*m**2 - 32*m - 156. Let c be j(20). Suppose -5*o - r = 0, r - 13 = -3*o + 3*r. Suppose -d - o = -c. What is the remainder when 5 is divided by d?
2
Let d = -7 + 1. Let l = 10 + d. Suppose 4*k = -l, -3*k = -3*n - 0*k + 24. What is the remainder when 27 is divided by n?
6
Let n(d) = -4*d**2 + 79*d + 47. Calculate the remainder when n(20) is divided by 6.
3
Suppose 0 = d - 4*u - 33, -57 - 25 = -3*d - 5*u. Let r = 48 + -31. Let s = r + 97. Calculate the remainder when s is divided by d.
27
Suppose 0 = -5*c + 10*v - 14*v + 102, 0 = -2*c + 5*v + 54. What is the remainder when 260 is divided by c?
18
Suppose 0 = 5*z - 4*u - 40, 3*z + 4*u = z + 16. Let x = 838 - 833. Let q = x + z. What is the remainder when 49 is divided by q?
10
Let y = 2 - -8. Let h = 20 - 17. Suppose f - 35 = j, h = -j + 5. What is the remainder when f is divided by y?
7
Let r = -162 + 194. What is the remainder when r is divided by 4?
0
Let k(d) = d + 121. What is the remainder when k(-24) is divided by 26?
19
Let f = -26 - 26. Let v = f + 30. Let u = -17 - v. What is the remainder when 19 is divided by u?
4
Suppose 65 = -n + 3*n - g, 22 = n + 3*g. Suppose 4*y - n = 45. Calculate the remainder when 36 is divided by y.
17
Let a = -57 - -57. Suppose -6*h + 9*h - 48 = a. What is the remainder when 59 is divided by h?
11
Suppose 0 = 4*u + h + 30 + 101, 0 = -3*u - 4*h - 95. Let p = -20 - u. Suppose -p - 11 = -2*d. Calculate the remainder when d is divided by 8.
4
Suppose 46*v = 35*v + 132. What is the remainder when 11 - v/(-18)*6 is divided by 10?
5
Let v(o) = o**3 + 21*o**2 - 47*o - 18. Suppose 10*a - 259 = 3*a. What is the remainder when a is divided by v(-23)?
2
Suppose -3*s + 37 = -17. What is the remainder when (7 + 0)/(1/7) is divided by s?
13
Suppose -964 = -4*s - 0*i - 4*i, 4*i = 20. Suppose -5*m = -m - s. What is the remainder when m is divided by 158/8 - 1/(-4)?
19
Let o = -151 - -169. What is the remainder when 49 is divided by o?
13
Let w be 2314/22 - ((-138)/(-33) + -4). Suppose -w*r = -100*r - 160. Calculate the remainder when 124 is divided by r.
28
Let y be (-10)/7*((-8)/2 - 3). What is the remainder when 144/30 - 5 - (-1732)/y is divided by 16?
13
Let h = 63 + -34. Let d = h - 21. Calculate the remainder when d is divided by -1 + (-1 - (-12)/2).
0
Let a(w) = -w**2 + 20*w + 40. Let p be (-10)/15*(-3)/(-4)*-38. Calculate the remainder when a(p) is divided by 30.
29
Let s(d) = -6*d**2 + 139*d - 82. Let p be (-2)/(-5) - 666/(-10). Suppose 7 + p = 2*h. Calculate the remainder when s(22) is divided by h.
35
Let n = -237 + 487. What is the remainder when n is divided by 42?
40
Let h = 8 + -10. Let p(y) = -3*y**3 + y**2. Let f be p(h). What is the remainder when 9 is divided by (-12)/14*f/(-6)?
1
Suppose 288 = 8*i - 32. What is the remainder when 79 is divided by i?
39
Let z = 431 - 144. Suppose -62 + z = 5*v. What is the remainder when v is divided by (2*2)/(11/44)?
13
Let o = -825 + 871. Calculate the remainder when o is divided by 8.
6
Suppose 1799*n + 3220 = 1806*n. Calculate the remainder when n is divided by 58.
54
Suppose 3*y = 468 + 1632. Suppose 4*r = -5*z + y - 127, z - 103 = 5*r. Calculate the remainder when z is divided by 23.
21
Let x(n) = 4 + n**2 + 4*n**2 + n + n**3 - 5*n**2 + 2*n**2. What is the remainder when x(3) is divided by 11?
8
Suppose 0 = -3*f - 8*s + 13*s + 59, -3*f = s - 53. Calculate the remainder when 124 is divided by f.
16
Let k = 102 - 94. Let w(t) = t**3 - 10*t**2 + 17*t + 3. What is the remainder when w(k) is divided by 7?
4
Suppose 4*w = 6 + 2. Let r be 20 + -2 - (7 + -4). What is the remainder when w is divided by (20/r)/((-6)/(-9))?
0
Let t(u) = -2*u - 8. Let i be t(-19). Suppose -2*c = r + 2*r - 19, 0 = 2*r - 3*c - i. What is the remainder when r is divided by 3?
0
Suppose 183 = -5*z + 433. Calculate the remainder when z is divided by 5.
0
Let o(k) = 2*k**2 - 2*k - 9. Let u(r) = -3*r**2 + 5*r - 5. Let n be u(1). What is the remainder when (6/(-8))/(1/(-116)) is divided by o(n)?
12
Let g = 46 + -19. Let w = 1 + g. Suppose -m = -s - 3*s + 25, w = 5*s + 2*m. Calculate the remainder when 29 is divided by s.
5
What is the remainder when -9*((-58190)/1584 + (-9)/24) is divided by 119?
96
Let t(r) = -r**3 + 6*r**2 + 3*r - 2. Let d be (-2)/(-4)*(-144)/9. Calculate the remainder when 1 + (-22)/4*d is divided by t(6).
13
Let d = -88 - -180. Calculate the remainder when d is divided by (128/10)/((-2)/(-5)).
28
Suppose 0*v + 12 = -4*v, -3*y + 57 = -v. Suppose -c + l = -12, -3*c = -7*c - l + 53. Calculate the remainder when 4/(3/y + 0) is divided by c.
11
Let c = 13 + 23. Suppose v + 3*j = 304 - c, 2*v - 5*j - 569 = 0. Calculate the remainder when v is divided by 70.
67
Let k = 148 - 99. Let p = k + 0. What is the remainder when p is divided by 52/2*2/4?
10
What is the remainder when 2/(-6) - (-2768)/24 is divided by 41?
33
What is the remainder when (-4)/6 + (-1332)/(-54) is divided by 8?
0
Let i(w) be the first derivative of w**4/4 + 11*w**3/3 - 13*w**2/2 - 8*w - 19. Let z = -1 - -6. What is the remainder when z is divided by i(-12)?
1
Let b = -1130 - -1339. Calculate the remainder when b is divided by 69.
2
Let i = 225 - 779. Let t = i - -792. Calculate the remainder when t is divided by 24.
22
Let z(b) = -b**2 - 16*b - 4. Let w = -4 - -19. Calculate the remainder when z(-9) is divided by w.
14
Let m(c) = c**3 - 26*c**2 - 27*c + 32. Calculate the remainder when 61 is divided by m(27).
29
Let k = 138 - 58. Suppose -3*s - p - 7 = -132, -4*p - 102 = -2*s. Let t = k - s. What is the remainder when t is divided by 20?
17
What is the remainder when 1/20 - 172760/(-800) is divided by 20?
16
What is the remainder when 186 is divided by 73 + -3 + -2 - (0 + 5)?
60
Suppose 0 = -2*k - 3*t + 11, -4*k + 28 - 4 = 4*t. Suppose -k*y + 91 - 14 = 0. Calculate the remainder when 40 is divided by y.
7
Let f(c) = -c**3 - 44*c**2 + 43*c - 82. What is the remainder when 107 is divided by f(-45)?
3
Suppose 5*s - 15 = 0, 0 = 3*o + 2*o - 5*s + 370. Let b = -51 - o. Calculate the remainder when 75 is divided by b.
15
Suppose 0 = -4*n - 3 + 299. Let c = 32 + -13. Calculate the remainder when n is divided by c.
17
Suppose -38*o + 68*o - 750 = 0. What is the remainder when 271 is divided by o?
21
Suppose -11*b = 91 + 85. Let k(i) = i**3 + 16*i**2 -