o) = 3*b(o) + l(o). Calculate the remainder when 7 is divided by k(7).
1
Suppose 66 = 4*b - 2*t, 3*b - 8*b = 3*t - 66. Calculate the remainder when 21 is divided by b.
6
Let k(o) = 2*o**2 + o - 22. What is the remainder when k(-7) is divided by 8?
5
Suppose -4*s + 5*p + 19 = -2, 2*s = -3*p + 27. Let j = 72 - 41. Calculate the remainder when j is divided by s.
4
Let x be (-10)/70 + (-72)/(-14). Let a(u) = -u**2 + 6*u + 4. Let y be a(x). What is the remainder when y - -1*(2 + 1) is divided by 3?
0
Let o = -1 - -6. Suppose 2*f + 2*k - 20 = 4*k, 4*f + k - 35 = 0. Suppose 0 = -f*c + 6*c + 36. Calculate the remainder when c is divided by o.
2
Let y = -174 - -121. Let g = -15 - y. Suppose 2*s = 4*s - g. What is the remainder when 54 is divided by s?
16
Suppose -368*b + 3915 = -341*b. What is the remainder when b is divided by 39?
28
Suppose -5*p + 6 = -2*p. Suppose -6 = p*u + u, -3*h + u = -77. Let t(b) = -b. What is the remainder when h is divided by t(-7)?
4
Let k(p) = 5*p**3 + 22*p**2 + 8. Let m(j) = 6*j**3 + 23*j**2 + 8. Let f(i) = 5*k(i) - 4*m(i). What is the remainder when 416/14 - (-22)/77 is divided by f(-18)?
6
Let f = 2155 + -1974. What is the remainder when f is divided by 99?
82
Let t(r) = 4*r**3 + 3*r**2 + 3*r + 3. Let o be t(-3). Let b = o + 102. Calculate the remainder when 102 is divided by b.
12
Suppose -23 = -n + z, -4*z - 2*z = 4*n - 132. What is the remainder when 212 is divided by n?
23
Let j(p) = -p**2 - 63*p + 224. Calculate the remainder when 275 is divided by j(-65).
87
Suppose j + 0*j - 2*z = -4, -3*j - 3*z + 24 = 0. Suppose -2*x = -j*x + 10. Suppose 7*o - 60 = x*o. Calculate the remainder when o is divided by 8.
6
Suppose -3*z = -r + 17, 5*r - 37 = -5*z + 48. Suppose 0 = -28*f - 13*f + 205. Calculate the remainder when r is divided by f.
2
Let x = 0 + 0. Suppose -3*r + 4*r - 8 = 4*j, r = 2*j + 12. Suppose -5*k + k + r = x. What is the remainder when 6 is divided by k?
2
Suppose 4*j = 36*u - 31*u - 118, -5*u + 139 = 3*j. What is the remainder when 1635 is divided by u?
23
Let z(q) = q**3 - 31*q**2 + 66*q + 38. What is the remainder when z(29) is divided by 8?
6
Let r(g) be the first derivative of -g**2/2 - 5*g - 5. Let y be r(-7). Suppose -y*h = h + 4*w - 121, -4 = -w. Calculate the remainder when h is divided by 18.
17
Suppose -3*g = -4*g + 9. Suppose 0 = -2*h + 11 + g. What is the remainder when 36 is divided by h?
6
Suppose -q = 7*r - 9*r + 48, 4*r - 4*q = 104. Calculate the remainder when 240 is divided by r.
20
Suppose -5*z + 13 + 72 = 0. Calculate the remainder when 216 is divided by z.
12
Suppose -2*o = 5*v - 132, 0*o - 297 = -5*o + 4*v. Calculate the remainder when o is divided by 30.
1
Let q(l) = l**3 - 5*l**2 + 3*l - 3. Let k be q(3). What is the remainder when 345/k*-2 - 1/2 is divided by 30?
27
Let a(l) = -5*l + 14. Let z(t) = -t**3 - 7*t**2 - 7*t - 15. Let c be z(-6). Calculate the remainder when a(c) is divided by 20.
19
Suppose 31 = 4*a + 7. Let m(z) be the second derivative of -z**5/20 + 5*z**4/6 + 2*z**3 + 5*z**2/2 + 2*z. Calculate the remainder when m(11) is divided by a.
4
What is the remainder when 46 is divided by (60/6 - -7) + -1?
14
What is the remainder when (1 - -23) + 0 + -5 + 5 is divided by 26/((-3)/((-6)/4))?
11
Suppose 2*m = -5*v + 4403, 28*m - 1742 = -2*v + 32*m. Calculate the remainder when v is divided by 14.
11
Let w(y) = -3*y + 2. Let d be w(-9). Let f = d - 27. What is the remainder when f is divided by 1?
0
Suppose -149*t + 791 = -36*t. Suppose 0 = 2*j + 4*p, 1 = j - 4*p - 5. Suppose -j*x + 21 = -19. Calculate the remainder when x is divided by t.
6
Suppose 0 = -5*s + 8*n + 29, 5*s - 8*n - 92 = -9*n. Suppose -5*a - 4*i + 504 = 0, -108 - 90 = -2*a + 2*i. What is the remainder when a is divided by s?
15
Suppose -46 = 4*g - 102. Calculate the remainder when 2*((-333)/6)/(-3) is divided by g.
9
Suppose 4*j + t = 138, 3*t = 5*t + 4. What is the remainder when 66 is divided by j?
31
Suppose 13*n - 15*n = -22. What is the remainder when 394 is divided by n?
9
Let v(y) = -38*y + 2. Let k(q) = q + 15. What is the remainder when v(-2) is divided by k(-5)?
8
Let d = 124 + -94. What is the remainder when 285 is divided by d?
15
Suppose 3*r = -r + 296. Let f(x) = -x**3 - 29*x**2 + 133*x + 71. What is the remainder when r is divided by f(-33)?
36
Let t be (-15)/(1 - (-16)/(-14)). Suppose -t = -5*q + 2*q. What is the remainder when q is divided by 627/44*(-12)/(-9)?
16
Let h be 1/((-7)/2 - -4). Let m(s) = 8*s. Let l be m(h). Let j = l - 6. Calculate the remainder when 18 is divided by j.
8
Suppose -3*i + t = -0*t - 1348, 0 = -5*i - 4*t + 2224. Calculate the remainder when i is divided by 146.
10
Let r = 79 + -39. What is the remainder when 278 is divided by r?
38
Let n(f) = -f**3 - 6*f**2 + 14*f + 7. Let b(c) = c**2 + 8*c + 8. Let w be b(-4). What is the remainder when 90 is divided by n(w)?
21
What is the remainder when (-116)/6*(-25 + 22) is divided by 21?
16
Let j(a) = a**3 - 8*a**2 + 12*a - 2. Let x be j(6). Let i(s) = 3*s**2. Calculate the remainder when 58 is divided by i(x).
10
Let a(w) = w**2 - 15*w + 51. Calculate the remainder when 43 is divided by a(12).
13
Let q = 197 - 35. Calculate the remainder when q is divided by 24.
18
Suppose 41*j = 568 + 539. What is the remainder when (49/(-2))/((-2)/4) is divided by j?
22
Suppose 0*d = d - 24. Suppose -31 = -3*l - h + 2*h, 0 = 4*l + 4*h - 68. Calculate the remainder when d is divided by (0 + -2)*(-54)/l.
6
Let j(n) = 7*n + 71. Let i be (4/2)/(4/22). Let g = i - 6. What is the remainder when j(-9) is divided by g?
3
Suppose 0 = 2*z - 150 - 132. What is the remainder when z is divided by 48?
45
Let d = -603 + 649. Calculate the remainder when 150 is divided by d.
12
Calculate the remainder when 103 is divided by (8/(-12))/((-200)/(-105) - 2).
5
Suppose -6*a + 11 = -7. Suppose 51 = 3*o - 0*s - 3*s, -a*s + 61 = 4*o. What is the remainder when 46 is divided by o?
14
Suppose -5*g + 15 = 5*j, 4*g - 4 = -2*j + 8. Calculate the remainder when 3 is divided by g.
0
Suppose -r - 2*v - 9 = 0, 0 = -0*r - 5*r - v. Let b = r + 1. What is the remainder when 29 is divided by 1 + -5 + b + 10?
5
Let s = -14 + 23. Let a(d) = -d**2 + 5*d + 12. Calculate the remainder when -1*3/(s/(-69)) is divided by a(6).
5
Let n = -195 - -202. Calculate the remainder when 14 is divided by n.
0
Suppose c = -88 + 115. Let t = 160 - 65. Calculate the remainder when t is divided by c.
14
Let n = -11 - -14. Suppose -n*u + 8*u - 388 = 2*x, -5*x = 5*u - 360. Suppose -y - y = -u. Calculate the remainder when y is divided by 20.
18
Suppose -g + 13*t - 9*t = 11, -41 = -4*g - t. What is the remainder when 23 is divided by g?
5
Suppose 3 = -5*y + 63. Let w be ((-27)/y)/((-1)/4). Suppose 5 = u - w. Calculate the remainder when u is divided by 4.
2
Let c = -263 + -7. Let d = c + 388. What is the remainder when d is divided by 41?
36
Suppose q + s + 4*s = 61, 0 = -2*q + s + 133. Calculate the remainder when 196 is divided by q.
64
Calculate the remainder when (-10668)/(-56) - (-4)/8 is divided by 40.
31
Suppose 5*h - 26*v + 27*v = 46, -3*h + 3*v = -42. What is the remainder when 91 is divided by h?
1
Suppose -14*o = -17*o + 192. Calculate the remainder when 575 is divided by o.
63
Suppose 0 = 74*v - 67*v - 903. What is the remainder when v is divided by 60?
9
What is the remainder when 48 is divided by (30/(-18))/((-1)/3)?
3
Let c(m) = -m**2 - 24*m - 40. Let l(p) = -p + 8. Let v be l(6). Let f(q) = q**3 + 2*q**2 - q - 1. Calculate the remainder when c(-3) is divided by f(v).
10
Let k be 3/(-4)*(2 - -2). What is the remainder when 2 + 225/((-35)/(-7)) is divided by (-2 - k - 0) + 24?
22
Let k be (-17)/((-119)/(-252))*(-26)/(-6). Let m = -88 - k. What is the remainder when m is divided by 18?
14
Let a be ((-4)/3)/((-1)/(-3)). Let i = -18 - -48. What is the remainder when i is divided by (14 + -26)/(3/a)?
14
Suppose 0 = -4*a + 2*u + 266, 99 = a - 5*u + 10. Suppose f = 3*l + 2*f - a, -4*f = -3*l + 89. Let k = 156 + -67. Calculate the remainder when k is divided by l.
20
Let o(j) = j**3 - 24*j**2 - 25*j + 16. Calculate the remainder when 52 is divided by o(25).
4
Let a be 0/(-2) + 8 + -4. Suppose 46 = a*p - 2. Let q(w) = 6*w - 18. What is the remainder when q(p) is divided by 14?
12
Suppose 3 = -9*l