 + 65*y**2 - 102*y + 78. Let i(k) = -k**3 - k. Let j be i(-4). Let n = j - 41. Calculate the remainder when c(-34) is divided by n.
24
Let a(j) = 3*j**3 + 2*j**2 - 8*j + 22. Let g be a(4). Let v = g + -169. What is the remainder when v is divided by 28?
17
Suppose 0 = 2*y - y + p - 12, 4*p = 3*y - 1. Let i be (-3 + 21)*(-2)/(1 - y). Calculate the remainder when 81 is divided by 18/(-12)*(-56)/i.
11
Suppose -10*m + 10488 = 2*x, -m - 611*x = -613*x - 1062. What is the remainder when m is divided by 49?
21
Let b(j) = -17*j + 2. Let h be b(3). Let r = h + 52. Suppose -5*z + 27 = r*s, -1 - 2 = z. Calculate the remainder when s is divided by 3.
2
Suppose 5*a + 25 = 0, 3*a + 942 = 7*x - 6*x. Suppose 11*q - 602 = x. Suppose 0 = -5*i + 301 + q. What is the remainder when i is divided by 23?
19
Suppose -339*w + 350*w = 572. Let p = -21 + 35. Calculate the remainder when (-15)/30 + (-6)/(-4) + w is divided by p.
11
Let j(f) = 9*f**2 + 11*f + 12. Suppose 2 + 6 = -8*u. What is the remainder when 19 is divided by j(u)?
9
Suppose 74*h + 47*h - 94985 = 0. What is the remainder when h is divided by 48?
17
Let g(l) = 20*l**2 - 38*l - 320. Calculate the remainder when g(-7) is divided by 10.
6
Suppose 33*b + 3372 = 37*b - 4*x, -b - x + 837 = 0. What is the remainder when b is divided by 65?
60
Let n be (-1 - -5)/(7 + -5)*8. Suppose j + n = 3. Calculate the remainder when (-26)/169 + (-405)/j is divided by 13.
5
Let d = 2078 - 2032. What is the remainder when 228 is divided by d?
44
Suppose -4*x + 14*x - 9200 = -40*x. Calculate the remainder when x is divided by 28.
16
Let f(s) = 109*s - 16443. What is the remainder when 609 is divided by f(153)?
141
Suppose -17 + 2 = 3*t, -5*l + 5*t + 65 = 0. Let p(a) = 2*a**3 + 5 - l*a + 6*a**2 - 3*a**3 + a + 6*a. Calculate the remainder when p(5) is divided by 8.
1
Let z(d) be the first derivative of d**2 + 85*d + 88. Calculate the remainder when 421 is divided by z(-16).
50
Suppose -13210 + 48293 + 34517 = 75*t. What is the remainder when t is divided by 54?
10
Suppose 0 = -4*w + 7*w - 924. Let o be 4/(-26) - w/(-143). Suppose o*p + 2*p - 67 = 5*y, 0 = -3*p - y + 55. What is the remainder when 45 is divided by p?
9
Suppose 533*j - 529*j - 3112 = 0. Calculate the remainder when j is divided by 156.
154
Suppose -3*k + 3*n = -0*k - 48, n = -3*k + 32. Suppose 2*d - 15 = -5*y, 14*y = k*y - 2. What is the remainder when 48 is divided by d?
8
Let p(x) = -x**3 + 4*x**2 - 2. Let l be p(3). Let b(j) = 47*j + 11. Calculate the remainder when b(l) is divided by 38.
36
Suppose 11*s - 4292 = -63*s. Let d(k) = 27*k**2 - 5*k + 4. What is the remainder when d(2) is divided by s?
44
Suppose -w = -4*j + 306, 5*w = -4*j + 136 + 158. What is the remainder when 360 is divided by j?
56
Let m(s) = -5*s**3 - 15*s**2 - 62*s + 84. What is the remainder when m(-5) is divided by 106?
8
Let v be 1 + -2 + -1 + 62. Suppose -2*x = -7*x + v. What is the remainder when (-11)/((-33)/(-15))*(-5 - 2) is divided by x?
11
Suppose -617*m = -630*m + 4121. Calculate the remainder when 337 is divided by m.
20
Calculate the remainder when 3*-1*(0 + -141) + -1 is divided by 25.
22
Suppose 112*c = -70*c - 45*c + 67*c + 19040. Let i = 59 + -30. What is the remainder when c is divided by i?
3
Let z(g) = 2*g**2 - g + 5. Let r be z(0). Let i(b) = -b**2 + 2*b + 23. Calculate the remainder when 53 is divided by i(r).
5
Let p = 1750 - 1569. Calculate the remainder when p is divided by 18.
1
Suppose 5*r = r + 2*x - 12, -3*r = 2*x + 16. Suppose 4*p + 40 = 3*b, -p - 19 = 53*b - 56*b. Calculate the remainder when 26 is divided by (-37)/r + p/28.
8
Let j(g) = g**2 - 47*g - 1244. What is the remainder when j(-36) is divided by 25?
19
Calculate the remainder when 0 - ((-7003)/235 - -3*(-1)/15) is divided by 13.
4
Let v(w) = 2*w**3 - 8*w**2 + w + 4. Let h be v(4). Suppose -x = -h*x + 910. What is the remainder when x is divided by 27?
22
Let i(m) = 29*m - 11. Let b be i(4). Let z be ((-192)/(-14))/((-3)/b*-5). Suppose g - z + 39 = 0. What is the remainder when g is divided by 12?
9
Let x(s) = -s**3 + 9*s**2 + 19. Let i = -140 - -148. Calculate the remainder when x(9) is divided by i.
3
Let l be ((-180)/150)/(4/(-130)). Suppose l = 3*f - 108. Suppose 0 = -a + 17 - 0. Calculate the remainder when f is divided by a.
15
Suppose 4*w + 2*m = 4, -12 = 5*w + 5*m - 7. Suppose 0 = -w*h + 5*i + 40, -5*h + 3*h = -4*i - 30. Calculate the remainder when 41 is divided by h.
1
Let f be (1 - 0)*-1*-34. Suppose 2*o + 5*z = 12 + 22, z = -2*o + f. Calculate the remainder when 303 is divided by o.
14
Calculate the remainder when 2 + -5 - -3 - -15 is divided by (2 - 20/(-14))/(21/49).
7
Let k be (1 + 4 + -5)/2. Let a(j) = -4*j + 66. What is the remainder when a(k) is divided by 12?
6
Suppose -8*w + 3*o + 2117 = 0, -2*o + 1328 - 1 = 5*w. What is the remainder when w is divided by 30?
25
Suppose -4*r - 225 - 5287 = -3*b, 0 = -5*b - 2*r + 9230. What is the remainder when b is divided by 15?
14
Let n be 168/(-252) - 2/(-3). Suppose n = -22*f + 8*f + 112. What is the remainder when 63 is divided by f?
7
Suppose -146*g + 20622 = -70*g + 415*g. Suppose -3 = -u + 2. Suppose 1 - u = -v. Calculate the remainder when g is divided by v.
2
Suppose 2*i + 8 = 4*r, -12 = 12*r - 14*r - i. Calculate the remainder when 8672/128 + 1/r is divided by 34.
0
Suppose -103 = -b - 5*u + 38, -4*u - 618 = -5*b. What is the remainder when 154 is divided by b?
28
Let x(g) = g**3 + g**2 + 24. Suppose -492*n + 24570 = -141*n. What is the remainder when n is divided by x(0)?
22
Let r(j) = 4*j**2 + 13*j - 415. What is the remainder when 264 is divided by r(10)?
34
Let r = -4756 + 4786. Calculate the remainder when 2396 is divided by r.
26
Suppose 0 = 5*s + 20, 3*h - 9*s - 11 = -10*s. What is the remainder when 62 is divided by (6 - h)/(-10) + (-603)/(-30)?
2
What is the remainder when 1306 is divided by -6*((-160)/24 - -6) - -31?
11
Let q(n) = 6*n**3 - n**2 - 7*n + 5. Calculate the remainder when 2600 is divided by q(3).
134
Suppose -21895 + 852 = -11*n. Calculate the remainder when n is divided by 96.
89
Let v = 97 - 106. Let x = v - -13. Suppose -h + 35 = x*r, -h + 3*r + 29 = r. What is the remainder when 123 is divided by h?
30
Suppose 26*k - 6 = 23*k. Suppose 0 = -k*u + 835 - 113. What is the remainder when u is divided by 52?
49
Suppose 4538*o = 4531*o + 1260. Calculate the remainder when 316 is divided by o.
136
Suppose 21 = 3*t + 12, -4*x + 779 = 5*t. Calculate the remainder when 193 is divided by x.
2
Suppose 5*r - 4*z - 148 = r, -r + 3*z + 45 = 0. Let b be 8/2 + -7 + r. Let m = b - 5. Calculate the remainder when 97 is divided by m.
22
Let a(k) = 4*k**3 + 4*k**2 + 1 - 7*k**2 - 3*k**3 + 5*k + 3. Suppose -6*o = -2*f - 36, -16 = 2*o + 2*f - 44. Calculate the remainder when a(5) is divided by o.
7
Let c(i) = i + 2. Let o(y) = 2*y**2 + 284*y - 4985. Calculate the remainder when o(-158) is divided by c(6).
7
Let x be ((-88)/22)/(-1*1). Let z(y) = 2*y**3 - 5*y**2 - 12*y + 11. Calculate the remainder when 42 is divided by z(x).
9
Suppose -1348 = -3*y + 2591. Suppose y = 5*n - 207. Calculate the remainder when n is divided by 22.
18
Let z = -1065 + 1365. What is the remainder when 911 is divided by z?
11
Let x = 2 - -85. Suppose 4*f = 2*j + 80, 4*j + 15 = 5*f - 79. Calculate the remainder when x - 10/(-4)*24/(-20) is divided by f.
18
Suppose 0*b - 7*b + 21 = 0. Let y be (2/7)/(b/14)*-3. What is the remainder when (-4 + 1 - y)/(1/53) is divided by 18?
17
Let k = 10 - 0. Suppose -3*t + 18 = 3*l, 0*l - 5*t + 12 = -4*l. Suppose l*b + 16 - 64 = 0. What is the remainder when b is divided by k?
4
Let r(c) = -2*c + 0*c + 1322 - 1245. What is the remainder when r(21) is divided by 6?
5
Suppose -4*m = -t - 2*m + 61, 3*t - 4*m - 175 = 0. Calculate the remainder when 32/(-36) - 89629/(-423) is divided by t.
52
Suppose -5*c + 122 - 107 + 365 = 0. Calculate the remainder when 79 is divided by c.
3
Let f(h) = -28*h**2 + 66*h**2 - 30*h**2 - 6*h - 4. Let q = 12 + 6. Calculate the remainder when q is divided by f(-1).
8
Let o be -3 + 4 + -3 + 1. Let c(z) = -43*z**3 - 2*z**2 - 2*z - 2. Let v(f) = f**2 - 5*f + 25. Calculate the remainder when c(o) is divided by v(4).
20
Let m(j) = j**3 + 3*j**2 - 4*j - 2. Let h(q) = 3*q**3 + 3*q**2 - q + 4. Let o be h(-3). 