
Let c(h) = -3*h**2 - 65*h + 68. What is the remainder when c(-22) is divided by (-273)/(-15) - (-4)/(-20)?
10
Let y(l) = -7*l**2 + 47*l - 31. Let w(f) = 4*f**2 - 23*f + 16. Let c(z) = 11*w(z) + 6*y(z). What is the remainder when c(-16) is divided by (-3)/9 - 93/(-9)?
8
Suppose -14*v + 2 = -16*v, 0 = -4*u - 3*v + 4505. Calculate the remainder when u is divided by 214.
57
Let y(x) = 7*x - 4. Let o = -418 - -447. What is the remainder when y(o) is divided by 53?
40
Suppose 21*q + 111 = 24*q. Suppose -37 = -2*t + 3*l, 5*t = -l + 64 + q. What is the remainder when 59 is divided by t?
19
Suppose -5*b + 10 = -f, -3*f - 5*b + 2 = -8. Suppose f = 13*m - 249 + 106. What is the remainder when 30 is divided by m?
8
Suppose 68*a - 506 = 57*a. Calculate the remainder when a is divided by 10.
6
Let o(j) be the first derivative of 5*j**2/2 - 18*j - 71. Suppose -8 = -2*s - 2*m, 0 = 3*s - 4*m - m - 28. What is the remainder when 43 is divided by o(s)?
7
Suppose 0 = -0*s + 2*s - 6. What is the remainder when ((-824)/(-48) - 18)*-306 is divided by s?
0
Let o(j) = 196*j + 629. Calculate the remainder when o(0) is divided by 3.
2
Suppose -7*x + 5735 = 10*x - 8069. What is the remainder when x is divided by 42?
14
Suppose -1390*s + 1371*s = -2356. What is the remainder when 251 is divided by s?
3
Suppose 507*r - 480*r - 2754 = 0. Calculate the remainder when 246 is divided by r.
42
Suppose 2*q - 52 = -2*q. Suppose -5*a + 70 = 5*h, 12*a - q*a = -h - 4. Calculate the remainder when 24 is divided by a.
6
Let c be 2/9 - 2/(-36)*14. What is the remainder when 63 is divided by 9 - (-1 + 5 + c) - -34?
25
Let p(u) = -u**2 + 10*u - 20. Let o be p(4). What is the remainder when ((-294)/(-63))/(o/462) is divided by 60?
59
Let a be (-2)/(-12)*2 + 336/(-144). What is the remainder when 43 - (-6 - a - -6) is divided by 10?
1
Suppose 4*l + 2 = 6, 5*v - l - 124 = 0. Suppose -c + 30 = -3*u + 163, -5*c + v = 0. What is the remainder when u is divided by 4?
2
Let x(j) = -4*j + 10. Suppose 104 = -p - p + 2*u, -2*u = 3*p + 166. Let m = -58 - p. What is the remainder when x(m) is divided by 7?
5
Let c be (27/27)/(2 + (-26)/12). What is the remainder when (c + 6 + 48)*1 is divided by 17?
14
Let l = -86 - -2. Let q = 60 + l. Let n = 43 + q. Calculate the remainder when 33 is divided by n.
14
Suppose 4*o = 2*r - 22, 35 = 5*r + 4*o - 9*o. Let z(y) = 3*y**2 - 2*y + 5. What is the remainder when 151 is divided by z(r)?
21
Suppose -31 = 10*s - 3451. Suppose -37*r = -1606 - 1576. What is the remainder when s is divided by r?
84
Suppose 26 = 3*v - 4. Let c = v - 10. Suppose 5*g + c - 40 = 0. What is the remainder when 22 is divided by g?
6
Let c(y) = -y**3 + 6*y**2 + 3. Let u be 24*(15/12)/5. Let m be c(u). Suppose 53 = m*d - 4. What is the remainder when 36 is divided by d?
17
Suppose -3*n - w = -5*n - 15, -4*w + 12 = 0. Let u(a) be the first derivative of a**3/3 + 23*a + 8. What is the remainder when u(n) is divided by 12?
11
Suppose -b - a = -31 - 33, -5*a = -b + 34. Suppose 8*o - 6586 = -35*o - 6*o + 12*o. What is the remainder when o is divided by b?
1
Suppose 0 = -i + 2, 4*i - 12 = -y + 5*y. Let f be 10*y/(-5)*(-1 - 3). What is the remainder when (208/30 + f/(-20))*3 is divided by 12?
10
Suppose -980*q + 2*k + 2942 = -978*q, -5*k - 1483 = -q. What is the remainder when q is divided by 98?
96
Let a = -4091 - -4129. Suppose -3*d - x = d - 259, -x = 1. Calculate the remainder when d is divided by a.
27
Suppose -i = 9*i - 1710. Let o = 180 - i. Calculate the remainder when 89 is divided by o.
8
Let j(g) = -4*g + 141. Let t be j(34). Suppose t*c - 19*x - 163 = -18*x, -4*x + 107 = 3*c. Calculate the remainder when 57 is divided by c.
24
Let j(n) = 551*n**3 + 5*n**2 + 2*n - 3. Let u be j(-1). Let k = 566 + u. Calculate the remainder when 194 is divided by k.
14
What is the remainder when 4584 is divided by ((11 + 680/(-56))*1337)/((-2)/3)?
0
Let f(p) be the second derivative of 17*p**4/4 - 5*p**3/6 + p**2/2 + 101*p. Calculate the remainder when f(2) is divided by 66.
63
Let y(q) = -q**3 - 23*q**2 - 20*q + 49. Let f be y(-22). Suppose 0*z - f*o = 4*z - 1156, 856 = 3*z + o. Calculate the remainder when z is divided by 58.
52
Let x(c) = -142*c - 398. Calculate the remainder when 109 is divided by x(-3).
25
Suppose -2*q + 2 = -a - 14, -5*q - a = -26. Let w be 249/q - ((-22)/4 + 4). Let p = w - 34. What is the remainder when 11 is divided by p?
2
Suppose -5637 = -4*g - 849. Calculate the remainder when g is divided by 398.
3
What is the remainder when 1039 is divided by -3 + ((-126)/12)/3*-34?
111
Suppose -5*a + 95 = 2*o - 32, -3*a + o = -85. Suppose a*b + 4*b - 992 = 0. Calculate the remainder when 90 is divided by b.
26
Suppose -15*d = -11*d + z + 611, -4*z - 750 = 5*d. Let l = -143 - d. What is the remainder when 107 is divided by l?
8
Suppose 4*d - 4 = 0, -2*k - d - 3 = 2*d. Let z(x) = -2*x**3 - x**2 + 6*x + 9. Let c be z(k). What is the remainder when 38 is divided by ((-12)/c)/(2/(-48))?
6
Suppose -t + 1 = 0, -5*b - 63 = 5*t + 352. Let s = 344 + -197. Let m = s + b. Calculate the remainder when m is divided by 13.
11
Suppose -25*p + 22140 = -13*p. What is the remainder when p is divided by 28?
25
Let s = -7065 - -7618. What is the remainder when s is divided by 70?
63
Suppose 0 = -6*y + 9*y - 3*r - 2628, 0 = -9*y - 4*r + 7871. Calculate the remainder when 1754 is divided by y.
4
Let j(m) = -m**3 + 13*m**2 - 9*m + 11. Let d be j(10). Suppose -2*t = -665 + d. What is the remainder when t is divided by 58?
48
Suppose -5*f + 7845 = -4*r, 3*f = r + 4190 + 517. Calculate the remainder when f is divided by 518.
15
Let k be -74 - 0/(5 + 8). Suppose 5*w - 3*r + 66 = 2*w, -3*w - 5*r - 34 = 0. Calculate the remainder when 89 is divided by k/(-4) + w/36.
17
Let d = 1141 - -776. Calculate the remainder when d is divided by 52.
45
Suppose 0 = -13*y + 16*y + 4*g - 229, 0 = g + 2. What is the remainder when 3158 is divided by y?
77
Let q = -3876 + 3879. Suppose -4*g + h + 3*h = -24, -2*g = 3*h - 17. Calculate the remainder when g is divided by q.
1
Suppose -3*n + 120 = 5*t, -t + n + 79 = 3*t. Calculate the remainder when (-14)/7 - (-119 + 0) is divided by (-62)/(-6) - 7/t.
7
Let p(b) = -b**2 + 7*b - 2. Let m be p(6). Suppose -l - m*f = -11, -3*f = -3*l + 5*l - 42. Calculate the remainder when l is divided by 20.
7
Let k be (-1)/(133/(-22) + 6). Suppose k*o + 17*o = 20670. Calculate the remainder when o is divided by 41.
38
Suppose 16808 = 7326*v - 7315*v. Calculate the remainder when v is divided by 51.
49
Let y be ((-2 - -2)/1)/1. Suppose -4*u + 1786 - 2 = y. What is the remainder when u is divided by 64?
62
Let b(w) = 2*w**2 - 11*w + 183. Let z = 12 - 4. Calculate the remainder when b(0) is divided by 2 + 22/4*z.
45
Let g be (6/(-12))/(2/28). Let u = 4 + g. Calculate the remainder when 1*(-2 + -1)/u - -52 is divided by 29.
24
Let p = 50 - 76. Let d = 155 + -106. Let s = p + d. What is the remainder when s is divided by 9?
5
Let d = -19882 - -19982. What is the remainder when 393 is divided by d?
93
Let p(l) = -46*l + 138. Let z be p(3). Suppose -2*a - 4*t + 860 = a, z = -a - 4*t + 292. What is the remainder when a is divided by 36?
32
Suppose -20 + 250 = 5*i. Suppose -i = -4*h + 42. Suppose 5*m = 3*z + 434, 15 = -8*z + 3*z. What is the remainder when m is divided by h?
19
Calculate the remainder when 0/((-6)/(-2)) + 204/3 is divided by 20.
8
Let w be (3 - 2)*(-2)/((-4)/6). Suppose -4*s + 28 = w*s. Calculate the remainder when 26 is divided by 1*45*s/12.
11
Let k(d) = -d**3 + 15*d**2 - 18*d + 75. Calculate the remainder when 515 is divided by k(14).
2
Let u(d) = 5*d**2 - 26*d + 109. Let y be u(7). Suppose 4*z - 6 = 2. Suppose -y = -0*q - z*q. What is the remainder when q is divided by 22?
20
Suppose 2*r = -5*w + 4 + 13, w - r = 2. Suppose 6*i = i + 5, -i = w*h + 2. Let o = 17 - h. What is the remainder when 86 is divided by o?
14
Let y(a) = -a**2 - 17*a + 521. Calculate the remainder when y(-20) is divided by 219.
23
Let y = 24 + 6. What is the remainder when (8544/80)/((-117)/(-45) - 2) is divided by y?
28
Let w be 6786/42 + 12/(-140)*-5. Suppose -4*l + w = -78. What is the remainder when 87 is divided by l?
27
What is the remainder when 240 is divided by 10176/954 - 2*(-1)/6?
9
Suppose 0 = 2*d - 3*d + 4