d(j) = 22*j - 6. Let p be d(r). Calculate the remainder when o(p) is divided by 23.
12
Let o = -447 + 635. Let i(m) = -m**3 - 36*m**2 + 93*m + 2110. What is the remainder when o is divided by i(-37)?
36
Suppose -434 = -5*z - 4*s, -6*s = 3*z - 4*s - 258. What is the remainder when 316 is divided by z?
70
Let j(v) = 131*v + 273. Calculate the remainder when 362 is divided by j(-2).
10
Let h(c) = -13*c + 30. Let j be (-1*1)/((-5)/(-5)). Calculate the remainder when h(-6) is divided by (-4)/(-6)*-15*j.
8
Let s be (-4)/10 - 78/30. Suppose 0 = -4*g, -5*a + 11 = 5*g - 29. Calculate the remainder when 3 + ((-6)/s - -7) is divided by a.
4
Let m be (29 + 2)*-1 + 0. Suppose -37 - 28 = -n. Let k = m + n. What is the remainder when k is divided by 9?
7
Let s(n) = n**2 + 7*n + 1. Let b be s(-8). Suppose 0 = c + b - 39. Let t(v) = 3*v**3 - 22*v**2 - 17*v + 24. What is the remainder when c is divided by t(8)?
14
Suppose 3*k - 798 = 525. Suppose k*i = 434*i + 133. What is the remainder when 72 is divided by i?
15
Suppose -5*x + 415 = 3*l, -4*x + 0*l = 5*l - 332. What is the remainder when 240 is divided by x?
74
Suppose 0 = 14*y + 6556 - 6864. Calculate the remainder when 899 is divided by y.
19
Suppose 3*p = -3*s + 606, 541 - 132 = 2*s - 3*p. What is the remainder when 3245 is divided by s?
200
Let u = 117659 - 48273. What is the remainder when u is divided by 11?
9
Let l = -4 + 5. Let m(u) = -1 - u**2 + 0 - 8*u + l + 6. Calculate the remainder when 63 is divided by m(-7).
11
Suppose -15 = 2*c + x - 54, -x - 5 = 0. Calculate the remainder when 8204 is divided by c.
20
Suppose -56 = -13*z + 165. Suppose -u - 4*m = 4*u - 571, -m = -5*u + 576. What is the remainder when u is divided by z?
13
Suppose 29*h + 4*f = 33*h - 692, 5*f = -3*h + 487. Calculate the remainder when 1036 is divided by h.
22
Let n be 2/(-14) + (-106)/(-7) - -2. Suppose 6*c = n*c - 352. Let i = 29 - 18. What is the remainder when c is divided by i?
10
Suppose -2*z + 403 + 1 = 0. Let t(u) = u**3 + 22*u**2 + 67*u + 64. Calculate the remainder when z is divided by t(-3).
32
Suppose 101 = -8*s + 389. Let r = s + -11. Suppose -n + u = -75, -u + 85 = -5*n + 452. Calculate the remainder when n is divided by r.
23
Let s = -12 - -16. Suppose t = -3*q + 101, -3*q + q - s*t + 54 = 0. What is the remainder when 7/q - (-219)/5 is divided by 23?
21
Suppose l - 54 = 5*j, -121 = -4*l + 5*j + 35. Let p = l - 1. Suppose -132*b - 1440 = -212*b. What is the remainder when p is divided by b?
15
Suppose -22*r + 18*r = 4*u + 24, u = r - 8. Let q(g) = -27*g - 164. Calculate the remainder when 173 is divided by q(u).
23
Let c(s) = 11*s + 11. Let l = 337 - 167. Let d = l + -161. Calculate the remainder when c(3) is divided by d.
8
Suppose -6*d + 2*d = -312. Calculate the remainder when d is divided by 3774/(-37740) - 2/((-20)/201).
18
Let k(p) = 3*p**2 + 1. Let d be k(-1). Suppose -d + 0 = -2*m. Calculate the remainder when ((-9)/8)/((-4)/(-18) - (-1650)/(-4752)) is divided by m.
1
Suppose 0 = 858*f - 127332 + 17508. Suppose -93 = 5*q - 333. Calculate the remainder when f is divided by q.
32
Let u(t) = t**3 + 10*t**2 - 320*t + 27. What is the remainder when u(31) is divided by 248?
244
Let h be ((-8)/6)/(2/(-78)). Let b = 76 - h. What is the remainder when 44 is divided by b?
20
Suppose 2*y - 43 - 112 = -5*t, y + 3*t - 75 = 0. What is the remainder when 230 is divided by y?
50
Suppose -2*i + 644 = 2*q, 4*i - 442 = 4*q + 830. Suppose 5*w = -245 + i. Calculate the remainder when 102 is divided by w.
12
Let l = -42034 + 42083. Suppose -12 = -4*a + 28. What is the remainder when l is divided by a?
9
Let k = -5699 - 1219. Let n be (-4)/30 + k/90. Let f = n + 99. What is the remainder when f is divided by 10?
2
Let y(f) = -11*f**3 - 2*f**2 - 2*f - 1. Suppose 3*z + 321 = 18*w, -w - 5*z + 54 = -0*z. Calculate the remainder when y(-3) is divided by w.
18
Let n be -3*(-3 - -10 - (-110)/(-15)). Let m(s) be the third derivative of 23*s**6/120 - s**5/60 + s**2. What is the remainder when 131 is divided by m(n)?
21
Let m(k) = -503*k - 3031. What is the remainder when m(-8) is divided by 257?
222
Suppose 2*i + 3*i - 80 = 0. Suppose 17*h - 2099 - 43 = 0. What is the remainder when h is divided by i?
14
Let p be -6*((-105)/6)/(-7). Let h(j) be the first derivative of -j**4/4 - 16*j**3/3 - 9*j**2 + 12*j - 82. What is the remainder when h(p) is divided by 10?
7
Suppose -7*k + 74 = -24. What is the remainder when 403 is divided by k?
11
What is the remainder when 2485 is divided by -32*(12 - (-392)/(-32))?
5
Suppose 0 = 2*p - 45*t + 56*t - 93, 4*p = -4*t + 96. What is the remainder when 143 is divided by p?
10
Let b(f) = f**2 + 10*f - 8. Let v be b(-12). Calculate the remainder when 142 is divided by 8/6*(32/(-8) + v).
14
Let u be (-1)/3*(0/(-4) - -12). Let x be (u + 5)/(3 - 4). Calculate the remainder when (x + 3)*1*1242/36 is divided by 10.
9
Suppose 5*m = -5*g + 160, -5*m + 7*m = -g + 72. Calculate the remainder when 454 is divided by m.
14
Suppose 2*o + 2*l + 652 = -198, -4*l = o + 416. Let i = o + 439. What is the remainder when 29 is divided by i?
7
Suppose 0 = 3*p + 5*i - 120 - 28, 0 = -2*p - 5*i + 112. Calculate the remainder when 2069 is divided by p.
17
Let j = -27 + 32. Suppose -5*i + 2 = -4*r, 3 = -5*r + 4*i + j. What is the remainder when 43 is divided by r/(-10) - (-12)/40*54?
11
Suppose 500*o - 482*o = 846. What is the remainder when 218 is divided by o?
30
Suppose -8538 = -4*t + 3*p, -5*t + 4*t = p - 2138. Suppose t = 39*b - 15*b. Calculate the remainder when b is divided by (-5 - (-12)/3)*-27*1.
8
Let l(z) = 35*z - 80. Let o be l(10). Let j = o + -112. Calculate the remainder when j is divided by 40.
38
Let t(h) = 34*h**2 - h + 3. Let m be t(-2). Let b = 231 - m. Suppose 0*v + 4*v = 52. What is the remainder when b is divided by v?
12
Let l(p) be the third derivative of p**6/120 - 3*p**5/20 + p**4/24 + p**3/6 - p**2 - 30*p. Calculate the remainder when 35 is divided by l(9).
5
Suppose -4*t = -3*t - 11. What is the remainder when t is divided by (-12)/(-14)*117/(-13)*14/(-12)?
2
Let l(x) = 2*x**2 - 120*x + 479. What is the remainder when 3438 is divided by l(56)?
28
Suppose 2*u + 4*g = 2*g + 16, 5*g = 5*u - 50. Suppose -u*k + 30 + 6693 = 0. What is the remainder when k is divided by 6?
3
What is the remainder when 0 + (-8)/(-28) - (-517296)/1092 is divided by 115?
14
Suppose 2*o - 3*d = 205, -2*d - 179 - 27 = -2*o. Suppose -o*u - 24 = -107*u. What is the remainder when 47 is divided by u?
7
What is the remainder when ((-36)/90)/(2/(-3365)) is divided by 9?
7
Let o be (-1)/((-8)/4)*-4. Let j(u) be the second derivative of -u**5/4 + u**4/6 + 5*u**3/6 + 3*u**2/2 + 126*u. What is the remainder when j(o) is divided by 6?
5
Let f(g) = 34*g - 1310. Calculate the remainder when 219 is divided by f(41).
51
Suppose 0 = -128*u - 112*u + 26364 + 201156. Calculate the remainder when u is divided by 28.
24
Let w(o) = 360*o - 6. Let b be w(1). Suppose 10*d = 4*d + b. What is the remainder when d is divided by 23?
13
Suppose 2*p = -3*l + 41, 2*l + 2*p - 23 - 7 = 0. Suppose 0 = -a - 1 + l. Calculate the remainder when 62 - (-65)/(-26)*(-6)/(-5) is divided by a.
9
Let n be (30/(-9) - -3)/(1/(-12)). What is the remainder when -5 + 4/n*16 is divided by 6?
5
Let r(s) = 5*s + 53. Let m be r(-7). Calculate the remainder when -2 + 5 - -6*(m - -3) is divided by 35.
24
Let d(z) = -22*z + 2. Let k(f) = 12*f - 1. Let a(g) = -6*d(g) - 10*k(g). Let o = 4 + 0. Calculate the remainder when a(o) is divided by 6.
4
Let u(x) = -x**3 - 4*x**2 - 2*x - 5. Let h be u(-4). Let c(a) = 10*a**2 - 20*a + 50. Calculate the remainder when 477 is divided by c(h).
77
Suppose 3*a + 447 = 126. Let i = 160 + a. Calculate the remainder when i is divided by 12.
5
Let a = -2630 + 2968. Calculate the remainder when a is divided by 19.
15
Let x = -699 - -847. Suppose -x = -7*g - 57. Calculate the remainder when g is divided by 6.
1
Let p = 66 + -45. Let u(a) = -a**2 - 89*a - 7. Let g(k) = 88*k + 7. Let z(j) = 4*g(j) + 3*u(j). Calculate the remainder when z(28) is divided by p.
14
Suppose -2*o - 16 = -n + 2*o, 5*o + 41 = 2*n. Let h(v) = -105*v - 5069. Calculate the remainder when h(-52) is divided by n.
27
Suppose 209*q - 417*q - 30 = -210*q. Let d(y) = 5*y**2 + 2*y. Let x 