/((-15)/2) + 2145/l is divided by 11?
7
Let p(c) be the third derivative of -c**5/30 - 23*c**4/12 - 15*c**3/2 - c**2 - 3*c. Calculate the remainder when p(-21) is divided by 8.
7
Let y(z) = -23*z + 2. Suppose u - 92*a + 96*a - 39 = 0, -3*a = 6. What is the remainder when y(-6) is divided by u?
46
Let m(v) be the third derivative of v**5/60 - v**4/6 + 7*v**3/6 - v**2. Let j(p) = 3*p**2 - 38*p - 167. What is the remainder when j(-4) is divided by m(5)?
9
Suppose -46 = -3*b + 8. Let v(o) = 99*o**3 - 4*o + 4. Let l be v(1). Let h = l - 51. Calculate the remainder when h is divided by b.
12
Suppose -22*r + 21*r = 0. Suppose -v + 9*v - 40 = r. Suppose 0 = v*l - u - 110, -5*u = l - 0*u - 22. What is the remainder when 82 is divided by l?
16
Let u be -43*4/(-8)*18. Suppose -5*q + o = 2*o - u, o + 75 = q. Calculate the remainder when q is divided by 16.
13
Let w = -23 + 32. Suppose -131*s - 32 = -133*s. Suppose s*t - 94 = 98. What is the remainder when t is divided by w?
3
Let s be 3*(12/9)/2. Suppose -p = -s*p + 2. Suppose 4*u = -3*a + 39, 0*u + p*a - 6 = -u. Calculate the remainder when 22 is divided by u.
10
Let a(w) = 146*w + 2647. Calculate the remainder when 2372 is divided by a(-18).
16
Let f(j) = 18*j + 254. Calculate the remainder when f(12) is divided by 234.
2
Suppose 3*r = 3 - 39. Let c(a) = 2*a**2 + 13*a + 5. Let g(s) = -s**2 - 7*s - 2. Let m(d) = -4*c(d) - 9*g(d). What is the remainder when 57 is divided by m(r)?
7
Let j be 15/9*120/50. Suppose -g + 10*y = 14*y - 15, 4*g - j*y - 20 = 0. Calculate the remainder when 97 is divided by g.
6
Let f be 3 - 5/(5/(-316)). Let r = f - 263. What is the remainder when r is divided by 19?
18
Let b = -8716 + 9001. Calculate the remainder when b is divided by 33.
21
Let a = -687 + 931. Calculate the remainder when a is divided by 128.
116
Let h = -174 - -176. Suppose -h*p = 5*o - 154, 4*p = -3*o + 140 - 42. What is the remainder when 56 is divided by o?
26
Suppose 11*y - 6624 = -7*y + 6*y. Calculate the remainder when y is divided by 145.
117
Suppose 8*o - 116 = -2*s + 4*o, -4*s + 5*o + 245 = 0. Calculate the remainder when 832 is divided by s.
52
Suppose 13923 = 5*b - 22*i + 18*i, 2*i - 13911 = -5*b. Calculate the remainder when b is divided by 927.
2
Suppose 135*k + 613 = 7489 + 50499. What is the remainder when k is divided by 84?
5
Suppose 5*f - 4*x = 888, -2*f + 5*x + 65 + 280 = 0. Calculate the remainder when f is divided by 127.
53
Let c(d) = -d**3 + 12*d**2 + 89*d - 10. Calculate the remainder when 158 is divided by c(17).
42
Suppose -11*c - 2*c = -65. Suppose -4*p - 3*y + 141 = -6*y, c*p - 2*y = 178. Calculate the remainder when 143 is divided by p.
35
Let t = 123 + -31. Calculate the remainder when t is divided by 310/8 - (7/4 + -2).
14
Let q be 4/18 + (295/9 - -1). Suppose -5*p + 4*i + q = 0, 3*p - 26 = -0*i + i. Calculate the remainder when 18 is divided by p.
8
Suppose -2*j = 5*f - 434, 5*f = -3*j - 106 + 542. Calculate the remainder when 327 is divided by f.
69
Suppose -4*r + 0*r = -4*q + 264, -63 = -q + 2*r. Let t(a) = -a + 2*a - 12*a**3 - 6 + 13*a**3 + 12*a**2 - 3*a. What is the remainder when q is divided by t(-12)?
15
Let d be -2*(-4 - -6) - -249. Let g = d + -147. What is the remainder when g is divided by 25?
23
What is the remainder when 12780 is divided by ((-6)/(-2))/(176364/4896 + -36)?
132
Let l be (8 - 226) + (-6)/(-3). Let m = l + 354. Let g = 193 - m. Calculate the remainder when g is divided by 4.
3
Suppose 38*a - 26*a = 117*a - 1785. What is the remainder when 548 is divided by a?
4
Suppose 78*z - 57*z = -192*z + 9798. What is the remainder when (-3856)/(-6)*(-9)/(-6) is divided by z?
44
Let l = 6679 + -6668. What is the remainder when 2791 is divided by l?
8
Suppose 11*y - 13*y = 8, -2*u = 4*y + 10. Suppose 0 = -n + u*t + 46, 3*n - 125 = -14*t + 10*t. Calculate the remainder when n is divided by 26.
17
Suppose -18*p - 1880 = -2942. What is the remainder when 126 is divided by p?
8
Suppose 0 = 6*j - 65 - 7. Suppose 1179 = j*c - 153. What is the remainder when c is divided by 31?
18
Suppose -3*v + v = -6. Suppose -5 = f, 4*f - 15 + v = -w. Let p = w - 24. Calculate the remainder when p is divided by 5.
3
Let c = -485 - -490. Calculate the remainder when 1838 is divided by c.
3
Let d(p) = 40*p - 947. Calculate the remainder when d(48) is divided by 4.
1
Suppose 2*m - 81 = -241. Let z be 1*(m + -1*2/2). Let f = -69 - z. What is the remainder when 45 is divided by f?
9
Suppose 0 = -80*s + 115*s - 31246 + 10351. What is the remainder when s is divided by 291?
15
Suppose 5*x + 1 - 21 = 0. Suppose -5*g - 80 = -5*t, 0 = 5*t - 0*g + 2*g - 59. What is the remainder when -87*(-1 + x)/(-9) is divided by t?
3
Let i = 28764 + -28759. What is the remainder when 545 is divided by i?
0
Let j = -55 - -111. Suppose 40*a = 36*a + 2*r + 1798, -1346 = -3*a + r. Calculate the remainder when a is divided by j.
55
Suppose 5*g - 8*i - 143515 = 26656, -4*i + 34079 = g. Calculate the remainder when g is divided by 15.
12
Let v = 2289 + -1009. Calculate the remainder when v is divided by 107.
103
Suppose 2*h - 549 = -4*l + 2025, -h + 3*l + 1282 = 0. Calculate the remainder when h is divided by 212.
13
Let m(c) = -31*c + 6. Suppose 5*z - l - 48 = 0, z + 5*l = -335 + 433. What is the remainder when m(-6) is divided by z?
10
What is the remainder when ((-1)/(2/(-2)))/(5/((-25470)/(-9))) is divided by 35?
6
Suppose 8 = x + 3. Suppose 72 = -2*a - 4*s, 3*a - 5*s + 197 - 56 = 0. Calculate the remainder when (-2)/14 + ((-678)/a - -11) is divided by x.
2
Let p be (1*107)/(2/2). Let z = -2157 - -2087. Let f = p + z. What is the remainder when f is divided by 14?
9
Let q = 1748 - 1747. Let n = 31 + -22. Suppose -n + 3 = -3*y. What is the remainder when y is divided by q?
0
Let y(z) = 2*z**3 + 13*z**2 + 5*z - 7. Let s be y(-6). Let q(n) = 4*n**2 + 2*n + 2. Let w be q(s). Calculate the remainder when 37 is divided by w/6*-11*-3 - 3.
18
Let x(j) = 30*j. Suppose 0 = -11*a + 15127 - 14940. What is the remainder when x(2) is divided by a?
9
Suppose 3*d - 4*k = 1307, -184*d - 1734 = -188*d + k. Calculate the remainder when d is divided by 97.
45
Suppose 25*f - 4005 = -3605. Let h be (0 + 3)*9/(-27). Let v = h + 7. Calculate the remainder when f is divided by v.
4
Let a(k) = 3*k**2 + 5*k + 7. Suppose -6616*b + 6692*b = 988. Calculate the remainder when a(-6) is divided by b.
7
Suppose 0 = 3*f - 2*f + 2*i - 20, -4*f - i + 52 = 0. Let z(w) = 12*w**2 + 4*w - 6. Calculate the remainder when z(4) is divided by f.
10
Let y(p) = 27*p**3 - 9*p**2 + 46*p - 22. Calculate the remainder when y(3) is divided by 37.
24
Let l(d) = -8*d**2 + 93*d + 89. What is the remainder when 259 is divided by l(12)?
47
Let a = 78 - 68. Suppose 5*p = -b + a - 0, 3*b - 4*p - 49 = 0. Suppose -i + b - 3 = 0. What is the remainder when 69 is divided by i?
9
Let n = 983 + -972. Suppose 0 = 22*b - 26*b + 36. What is the remainder when n is divided by b?
2
Suppose y + 192 = 5*h, 3*h - 104 = -6*y + y. Suppose -591 = -3*a - 3*n, -23*n = -20*n - 27. What is the remainder when a is divided by h?
36
Calculate the remainder when 531 is divided by ((-1)/6)/(7/28)*(-57)/1.
37
Let k(o) be the third derivative of -o**5/60 + o**4/2 - o**3/2 - 118*o**2. Calculate the remainder when k(10) is divided by 11.
6
Suppose 50*t = 54*t - 169*t + 6600. Calculate the remainder when 11716 is divided by t.
36
Suppose 7*a - 80 = -59. Suppose a*q + 3*g - 155 = 2*g, -5*g - 194 = -4*q. Calculate the remainder when q is divided by 18.
15
Let c(p) = 8*p**3 - 2*p**2 + 3*p - 2. Let o = -1358076 - -1358312. Calculate the remainder when o is divided by c(2).
56
Let z = 10 - -40. Calculate the remainder when (-4)/9 + (-1)/2 + 15057/162 is divided by z.
42
What is the remainder when 150 is divided by (-11)/((-44)/16) - (-21 + 6)?
17
Suppose 0*o - 111 = -2*v - 5*o, 4*o + 195 = 5*v. Let s(m) = -m**3 + 2*m**2 + 11*m - 10. Calculate the remainder when s(-6) is divided by v.
40
Let m = 86 - 86. Suppose -2*q + 39 - 33 = m. Suppose 3*t - 65 = -2*f, t - 96 = -3*f - 16. What is the remainder when f is divided by q?
1
Suppose -3*g + 3*o + 2 + 1 = 0, -g = -3*o + 7. Suppose f - 74 = -5*i, -g*f = 3*i + 2*i - 330. Calculate the remainder when 382 is divided by f.
62
Let a(v) = -21*v + 77. Let j = -89 +