r when m is divided by 6.
5
Let k(m) = -56*m - 687. What is the remainder when k(-24) is divided by 9?
0
Suppose -3*f = 2*u - 22, -5*u - 2 + 27 = 0. Suppose -3*v - 496 = -4*q, 9*v - f*v = 0. Calculate the remainder when q is divided by (-177)/(-7) + 2/(-7).
24
Let w(o) = o + 25. Let v be w(-11). Let k(q) = -q**3 + 13*q**2 + 17*q - 24. Suppose 6*r + 24 = 12*r. What is the remainder when k(v) is divided by r?
2
Let t(l) = l**2 - 110*l - 1441. Calculate the remainder when 523 is divided by t(-13).
49
Let x = -571 - -582. Suppose 4*z = 5*c - 43, 0 = -z - 8 + x. What is the remainder when 31 is divided by c?
9
Let s(k) = 98*k**3 - 1. Let d be s(-1). Let o = -40 - d. Calculate the remainder when 59 is divided by o/5 + -3*(-2)/30.
11
Let f(d) = -16*d**2 - 164*d - 28. Calculate the remainder when f(-8) is divided by 12.
8
Suppose 0 = -5*w - 7*t + 2*t + 830, 3*t = -2*w + 333. What is the remainder when w is divided by 67?
31
Suppose 2*t + 5 = 3*t. Calculate the remainder when (-13 - (-100)/8)*-74 is divided by t.
2
Let x = 4947 + -1152. Calculate the remainder when x is divided by 76.
71
Let p be (6/(-3) - 128)/1. Let n = -96 - p. Let y(u) = -2*u - 4. What is the remainder when n is divided by y(-8)?
10
Let h(i) = -i**2 - i. Let r be h(0). Let j be (r - -1)/((-2)/68). Let a = -24 - j. Calculate the remainder when 17 is divided by a.
7
Let m(t) = -8*t + 139. Suppose 0 = 3*a - a - 26. Calculate the remainder when m(a) is divided by 3.
2
Let g = -238 - -264. Calculate the remainder when 2 - (3 - 10)*81 is divided by g.
23
Let q = -172 + 182. What is the remainder when 31 is divided by (-20 - -3)*(-10)/q?
14
Suppose -5*r - c - 259 = 54, 3*c = -4*r - 257. Let q = -42 - r. Calculate the remainder when (5 - (-1914)/(-30))*270/(-162) is divided by q.
18
Let x = 11 - -44. What is the remainder when 1422 + -1433 - (-508)/2 is divided by x?
23
Suppose -528 = -2*j - 46*j. Calculate the remainder when 3273 is divided by j.
6
Let h(a) = -2*a**3 - 9*a**2 - 10*a - 27. Let d be h(-6). Let z = 98 - d. Let j = -27 - z. What is the remainder when j is divided by 10?
6
Calculate the remainder when 32 is divided by (-335)/(-12) - (-11)/132.
4
Suppose 0 = -2*h - r - 3*r - 884, 0 = 3*h - 3*r + 1344. Calculate the remainder when (-13 + h/(-4))/((-2)/(-4)) is divided by 34.
27
Suppose -4*i - 2*i = 1512. Let b = -136 - i. Calculate the remainder when b is divided by 20.
16
Let i be 3/2 + (-3417)/34. Calculate the remainder when 18 is divided by (-14)/(-49) - i/21.
3
Let d(j) = -10*j - 44. Let y = -109 - -102. What is the remainder when d(y) is divided by 15?
11
Suppose -651 = 17*g - 2215. Calculate the remainder when g is divided by 61.
31
Let g(v) = -3. Let d(c) = 12*c - 91. Let k(m) = -d(m) + 6*g(m). Calculate the remainder when k(-2) is divided by 26.
19
Let d be ((-27097)/(-105))/(-7) + 4/(-30). Let y = d - -74. Calculate the remainder when y is divided by 8.
5
Let h(t) = t**3 - 12*t**2 + 2*t - 19. Calculate the remainder when (-131)/(-6) + 14/84 is divided by h(12).
2
Let m(k) = -36 + 10*k + 3*k - 12*k + 10. Let b be m(14). What is the remainder when 0 - (8/b + 723/(-9)) is divided by 21?
18
Suppose 33 - 258 = -5*r. Let m be ((-28)/10)/((-18)/r). Suppose m*q - 4*q - 72 = 0. Calculate the remainder when 39 is divided by q.
15
What is the remainder when (17192/(-32) + 15/(-3))/((-18)/96) is divided by 69?
63
Suppose -9*s + 4*s = 5*w + 10, 5*s = w - 28. Suppose w*n - 43 = 128. Suppose 2*t = 5*m + 40, -2*m - 10 = 3*m. What is the remainder when n is divided by t?
12
Suppose 9*z + 19580 = 19760. What is the remainder when z is divided by 7?
6
Suppose -1546*h = -1566*h + 219960. What is the remainder when h is divided by 125?
123
Suppose -2*u + 5*w + 10 = 0, 5*w + 25 = -2*u + 7*u. Suppose u*q - 10*q = -415. Calculate the remainder when q is divided by 22.
17
Let i = -235 + 122. Let q = -51 - i. What is the remainder when q is divided by 21?
20
Let p = 30634 + -30625. What is the remainder when 29472 is divided by p?
6
Suppose 3*i - 31 = -p, -2*i - 2*p = p - 30. Let w(q) = -q**3 - 26*q**2 + 114*q + 42. Calculate the remainder when w(-30) is divided by i.
6
Suppose -4*z = -5*h + 378, 2*h = -z + 23 + 123. Calculate the remainder when 295 is divided by h.
73
Let r(v) = -v**2 - 4 + 2 - 15*v + 4*v**2. What is the remainder when 110 is divided by r(7)?
30
Suppose 3*m - 38 = 103. Let s(y) = -4*y**3 - 7*y**2 - 3*y + 2. Calculate the remainder when m is divided by s(-2).
11
Suppose -8*w + 81 = -303. What is the remainder when 2/4 + (-6)/(w/(-868)) is divided by (9 + 5)*(-4)/(-2)?
25
Let i(z) = -z**3 + 33*z**2 + 39*z - 150. Let h be i(34). Calculate the remainder when 175 is divided by 1228/h - 4/(-90)*-9.
53
Let a(q) = -2*q**3 - 12*q**2 - 23*q + 7. Let v be a(-9). Suppose -2*y - 23*y + v = 0. What is the remainder when 60 is divided by y?
4
Let j(v) = -213*v + 7007. Calculate the remainder when j(10) is divided by 1621.
14
Let z(m) = -m**2 + 13*m - 6. Suppose -5*b + 40 = 5*q, 4 = 2*b + 5*q - 0. Let l be z(b). Suppose -2*x = l*x - 96. What is the remainder when 35 is divided by x?
11
Let z be ((-2)/(-3) + -2*11)*-3. Let v = 74 - z. Calculate the remainder when 47 is divided by v.
7
Let q(f) = 2*f**3 + 36*f**2 - 35*f - 226. Calculate the remainder when q(-17) is divided by 17.
12
Suppose 0 = -u - 5*b - 12, -21*u + 5*b = -19*u - 36. What is the remainder when (-29)/(-2) - 1/2 is divided by u?
6
Suppose -6*a - 3983 = -20*a + 14035. What is the remainder when a is divided by 23?
22
Suppose 1 - 31 = -3*y. Let i = 1646 + -1612. Calculate the remainder when i is divided by y.
4
Suppose -828 = 23*g - 0*g. Suppose 33 = 2*r - 5*y, 6*r = 3*r + 5*y + 47. What is the remainder when (-92)/207 - 1960/g is divided by r?
12
Suppose -156 + 1233 = 3*f. What is the remainder when f is divided by 93?
80
Let x be 843/(-4) - (-99)/132. Let t = -208 - x. What is the remainder when 5 is divided by t?
1
Let z = -3 + 239. Let v = z + -86. What is the remainder when v is divided by 9?
6
Let x(g) = -2*g**3 - 30*g**2 - 32*g - 18. Let a = -155 - -141. What is the remainder when x(a) is divided by 8?
6
Suppose 59*u + 1095 = 2066 + 2097. What is the remainder when 1764 is divided by u?
48
Let v(n) = -n**3 - 3*n**2 - 3. Let l be v(-3). Let j = -1819 + 1871. Calculate the remainder when j is divided by -1 + l + 20 + 2.
16
Let r(w) = -w**3 + 18*w**2 - 29*w - 34. Suppose d + 3*d = -5*p + 54, -3*d - 17 = -2*p. Calculate the remainder when (1 + -70)/(p + -11) is divided by r(16).
13
Let r(i) = -i**3 - 7*i**2 + 642*i - 20. What is the remainder when 122 is divided by r(22)?
54
Let h = -6318 - -6966. Calculate the remainder when h is divided by 161.
4
Let a(j) be the third derivative of j**6/120 - 13*j**5/60 + j**4/8 + 11*j**3/6 + 192*j**2 + j. Calculate the remainder when 197 is divided by a(13).
47
Suppose f + 3*f + 3*n = -28, 2*n + 4 = f. Let m(j) = -4*j**3 + 4*j**2 + 3*j - 16. What is the remainder when m(f) is divided by 14?
12
Let w(a) = a - 10. Let i be w(12). Let r(q) = -3*q**2 + 5*q**2 + 4*q**2 - q**i + 5. Calculate the remainder when r(-4) is divided by 22.
19
Suppose -22*o + 431 = -403 - 244. What is the remainder when 678 is divided by o?
41
Let n = -10009 + 10141. Suppose -3 = j, -3*y + 5*y + 5*j = 15. Calculate the remainder when n is divided by y.
12
Let a be (1*-399)/(-7)*2/(-3). Let x = a - -67. What is the remainder when x is divided by 86/8 + 2/8?
7
Suppose -14*b + 4*q - 172 = -18*b, 3*b = -q + 129. Calculate the remainder when 3820 is divided by b.
36
Suppose -3*q - 1 + 4 = 0. Let w be 10/((-4)/q + 6). Suppose 0 = -w*b - 11 + 41. What is the remainder when 23 is divided by b?
5
Suppose 4*j = -4*w + 652, -2*w - 66*j + 323 = -61*j. Calculate the remainder when 389 is divided by w.
61
Let a(n) = n**3 + 15*n**2 - 36*n + 32. Suppose 4*b = 5*w + 105, w + 5*b = -2*w - 26. What is the remainder when a(w) is divided by 10?
6
Suppose 9947 - 1499 = 74*b - 8*b. What is the remainder when 163 is divided by b?
35
Let h(q) = 12*q - 5. Let w be h(1). Suppose 0 = -w*n - 30 + 765. Suppose -10*s + 115 + n = 0. What is the remainder when s is divided by 12?
10
Suppose -4*k = -g + 333, 0 = g + 2*g + 4*k - 1047. Calculate the remainder when g is divided by 80.
25
Suppose 0 = -449*s + 489*s - 640. Let k(v) = v**3 + 11*v**2 + 8*v