Calculate the remainder when 46 is divided by b.
14
Suppose 3*q + 5*o = 1369, -3256 = -5*q + o - 993. What is the remainder when q is divided by 9/(-4)*16/(-3)?
9
Let d(o) = 24*o**2 + o - 11. Let s be d(5). Suppose -23*b + s = -b. What is the remainder when 75 is divided by b?
21
Suppose -m - 4*b - 12 = 0, 5*m + 71*b - 68*b = 25. Calculate the remainder when 73 is divided by m.
1
Let m be (-5 - -23)/6 + (7 - 0). Let i(x) = 23*x - 211. What is the remainder when 35 is divided by i(m)?
16
Let b(u) = -3*u**3 - 108*u**2 - 109*u - 27. Let h be 4 + 0 - (-4)/(-2). Suppose h*c = -c + 90. What is the remainder when b(-35) is divided by c?
23
Let w(v) = 15 - 4 - 4 - 2*v. Let y be w(0). Suppose 0 = y*m + 2*m - 27. What is the remainder when 11 is divided by m?
2
Let y = -83124 + 83191. Let c = -712 + 1112. Calculate the remainder when c is divided by y.
65
Let z(f) = 170*f**2 - 5*f - 1. What is the remainder when z(1) is divided by 16?
4
Suppose -2*n = 2*b - 22, -2*n - 3*b - b = -18. Calculate the remainder when ((-92680)/220)/(-7) + 22/(-121) is divided by n.
8
Suppose 9*z = -2566 - 2177. Let d = -388 - z. What is the remainder when d is divided by 37?
28
Suppose -2*u - 98 + 104 = 0. Suppose -3*b = c - b - 73, c = u*b + 98. What is the remainder when c is divided by 24?
11
Suppose -17*u + 25874 = 25704. Suppose -4*f + 7 = 2*n - 11, 0 = 3*f - 6. What is the remainder when u is divided by n?
0
Let y be -1*(119/5 + (-8)/10). Let l = 11 - y. Calculate the remainder when 100 is divided by l.
32
Let z(g) = -2*g**3 - 54*g**2 - 50*g + 28. What is the remainder when z(-27) is divided by 12?
10
Suppose -t = 3*t - 72. Let q = -2834 + 2862. Calculate the remainder when q is divided by t.
10
Suppose -81*f + 2457 = -80*f. Calculate the remainder when f is divided by 41.
38
Let w be 74/((10/4)/5). Suppose -2*n - u = -w, 5*n + 4*u = 7*n - 168. What is the remainder when n is divided by 40?
36
Suppose 0 = 7*z - 321 - 407. Suppose 3*h = z + 55. Let l = h + -48. Calculate the remainder when 22 is divided by l.
2
Let i(c) = 8*c**2 - 35*c - 6. Suppose -4*d = -6*k + 2*k + 364, -2*k + 3*d = -185. Suppose -3*n + k = -44. What is the remainder when i(-3) is divided by n?
39
Suppose -7*x + 37 + 82 = 0. Let i = 7 - 12. Calculate the remainder when (-2472)/(-30) - (-2)/i is divided by x.
14
Let o(c) = -5*c - 91. Let a be o(-15). Let l = 36 + a. Let r = 44 - -94. What is the remainder when r is divided by l?
18
Let z(w) be the third derivative of w**4/24 + 16*w**3/3 - 20*w**2 + 2. What is the remainder when 42 is divided by z(-16)?
10
Suppose 3*l - 23 + 8 = 0, 0 = -2*j + 3*l + 645. What is the remainder when j is divided by 10?
0
Suppose -41 = -3*x + 5*r, x = -2*x - 2*r + 34. Suppose -4*y = x, -3*j - 4*y + 154 = 46. What is the remainder when j is divided by 2?
0
Suppose -17 = 3*a - 5. Let q be (-5)/((-6)/a*18/(-27)). Suppose -4*s = q*p - 33, 0 = 2*s - 7 + 3. What is the remainder when 23 is divided by p?
3
Let t = -709 - -737. Let i(w) = 12*w + 7. What is the remainder when i(8) is divided by t?
19
Suppose -40*b + 480 + 738 - 418 = 0. Let p = 161 - 70. Calculate the remainder when p is divided by b.
11
Suppose 2*q = -y + 489, 2*y - 17*q = -16*q + 993. Suppose y = 4*a - 5*j, 4*a - 503 = -j - 2*j. What is the remainder when a is divided by 6?
5
Let s be (-3)/15 - 3/((-75)/(-70)). What is the remainder when 181 is divided by 1 - (-3 - 10) - (-3)/s?
12
What is the remainder when 398 is divided by (-928)/152 + 6 + (-6817)/(-323)?
20
Let h = -191 - -195. Suppose b = 0, h*u = -4*b + 14 + 34. Calculate the remainder when 69 is divided by u.
9
Let b(x) = x**2 + 12*x - 1941. Calculate the remainder when 387 is divided by b(40).
109
Let w = -59544 - -59550. Let f = 239 + -79. What is the remainder when f is divided by w?
4
Suppose -3*m + 295 = -2*u, 2*m - 33*u = -29*u + 194. What is the remainder when m is divided by 15?
9
Suppose 5 = -5*f - 5*q, -4*f = -3*q + 8 - 11. Suppose f*a - 3*a + 4*k = -274, 0 = -5*a + 2*k + 438. What is the remainder when a is divided by 13?
8
Suppose -4072 = -5*q + 1818. Suppose -q + 125 = -39*p. Calculate the remainder when (-176)/(-6)*9/2 is divided by p.
24
Suppose 14*t + 0 = 14. Suppose 4 = -4*d - m + 5, 0 = -2*d - m + t. Calculate the remainder when d + -9 - -5 - -66 is divided by 9.
8
Calculate the remainder when (-1 + 12 - (-61 + 61)) + 5988 is divided by 34.
15
Suppose 42*u - 439 - 249 = -58. Calculate the remainder when 1618 is divided by u.
13
Suppose 4*h = 101 - 65, -4*o + 3*h = -5781. What is the remainder when o is divided by 205?
17
Let z be (10 - 3) + -5 - 494. Suppose f + v - 10 = -3, -4*v = -3*f + 28. Calculate the remainder when z/(-16) + (-2)/(-8) is divided by f.
7
Suppose -149 = -3*o - 0*k - 5*k, 3*k + 6 = 0. What is the remainder when 1000 is divided by o?
46
Suppose -4*o = 5*o - 90. Let i(l) = -70*l - 202. Calculate the remainder when i(-3) is divided by (25/o)/((-2)/(-4)).
3
Let s(u) = -u**3 + 2*u**2 + 5*u + 3. Let q be s(4). Calculate the remainder when 2 + q + (87 - -10) is divided by 19.
14
Calculate the remainder when (6 + 860/(-25))*2170/(-28) is divided by 28.
17
Calculate the remainder when 281 is divided by 76 - ((-54)/3 + 7).
20
Let w(x) = 2*x**2 - 49*x - 22. Let t be w(25). What is the remainder when 80 is divided by 6*5/(t/(30/25))?
8
Suppose -2*x - 8 = -2*l, -8*l + 2*x = -9*l + 16. Suppose 0 = -n + 70 + 41. What is the remainder when n is divided by l?
7
Suppose 203*r - 83 = 202*r. Suppose c = 2*l - 33, -12*l + 14*l - 43 = 3*c. What is the remainder when r is divided by l?
13
Let q(s) = -32*s + 111. Let k = 137 - 86. Let t = k + -26. What is the remainder when t is divided by q(3)?
10
Let w = -17 + 210. Let c(r) = -139*r - 1340. Calculate the remainder when w is divided by c(-10).
43
Let q = -96 + 100. Suppose -4*j + 120 = -q*l, 5*l - 77 = -4*j + 70. What is the remainder when -5*((-177)/15 + -1) is divided by j?
31
Let s = 66 + -58. Suppose -5*l + 10 = -5, -u + 5*l = -231. Suppose 6*c - u = -12. What is the remainder when c is divided by s?
7
Let b = -11 + 19. Let j(n) = 11*n**3 - 979*n**2 + 6*n - 376. What is the remainder when j(89) is divided by b?
6
Let a = 3510 - 3294. What is the remainder when a is divided by 44?
40
Let m(s) = s**3 + 39*s**2 - 15*s - 533. Calculate the remainder when 914 is divided by m(-39).
30
Suppose 40*g + 10*g = -85*g + 57240. What is the remainder when 2983 is divided by g?
15
Let v(l) = l + 17. Let u be v(-12). Suppose 4*o - 98 = -u*m - 0*o, 3*m + 4*o - 62 = 0. What is the remainder when 28 is divided by m?
10
Let j = 12741 - 12726. What is the remainder when 6553 is divided by j?
13
Suppose -4*n - n = -105. Suppose 3*u - 3*p = 294, 0 = 5*u + 12*p - 10*p - 511. Calculate the remainder when u is divided by n.
17
Suppose -39*x + 14527 = 1345. What is the remainder when x is divided by 10?
8
Let j be -2*-1*(0 - -1). Suppose 659*p = 665*p - 468. What is the remainder when p is divided by j/(-13) - (-2475)/117?
15
Let k = 199 - 226. Suppose 2*x - x = -3*o + 49, -o - 5*x = -21. What is the remainder when o/6*k/(-6) is divided by 9?
3
Let z = 2373 + -2371. Calculate the remainder when 8/6*9/2 is divided by z.
0
Let f = -33 - 3. Let n be 2 - 80/36 - 80/f. Suppose -600 = -3*i - n*i. What is the remainder when i is divided by 41?
38
Let t be (2 - 14/6) + 8151/99. Suppose -h + p + 25 = 0, -3*h = -p + 1 - t. What is the remainder when h is divided by 16?
12
Let n(r) = -r**3 + 26*r**2 - 54*r + 19. What is the remainder when n(11) is divided by 42?
22
Let h = 131 + -118. Suppose -5*u - 39 = -2*j, -j - 31 + h = 5*u. Let z(c) = c**2 - 3*c + 19. Calculate the remainder when z(j) is divided by 10.
7
Let k(m) = -25*m - 119. Let i(g) = 37*g + 178. Let f(p) = 5*i(p) + 7*k(p). Calculate the remainder when 7 is divided by f(-5).
0
Suppose 5*d - 2*s = 2885, -9*s + 4*s = -d + 577. Suppose -107 = -18*l + d. What is the remainder when l is divided by 11?
5
Suppose 2*s = -213*s + 836565. What is the remainder when s is divided by 1945?
1
Let n be (480755/(-20))/(-11) + 4/(-16). Suppose n = 12*v - 7*v. Calculate the remainder when v is divided by 73.
72
Suppose -2*c - 5*n = -n - 1938, 3*c - 3*n = 2898. Let w(t) = -t**2 - 30*t - 92. Calculate the remainder when c is divided by w(-21).
94
Suppose -21*x + 2664 + 12702 = -156