inder when 864 is divided by z(28).
24
Let i(d) = d**3 + d**2 - 7*d - 19. Suppose m + 4 = 0, 5*q - 24 = 3*m + 58. Calculate the remainder when i(5) is divided by q.
12
Let i(m) = 423*m - 2547. Calculate the remainder when i(9) is divided by 140.
0
Suppose 3*v + 22 = 136. Let u = 221 - v. Let o = u - 157. What is the remainder when 83 is divided by o?
5
Suppose o - 5*o - c = -61, -19 = -o + c. What is the remainder when 2*3/10*(o + -1) is divided by (-5)/((-116)/24 - -4)?
3
Suppose 2932 = 19*p - 8715. Suppose -30*d = 43 - p. Calculate the remainder when d is divided by 19.
0
Let k(l) be the second derivative of 19*l**3/6 + 25*l**2/2 + l. Suppose 264 = 36*x - 3*x. What is the remainder when k(x) is divided by 36?
33
Let k(v) be the third derivative of -v**5/30 + 2*v**4/3 - 7*v**3/6 + 139*v**2. What is the remainder when (1 + 19)*(-10)/(-4) is divided by k(6)?
16
Let u(o) = 136*o + 92. Let l be u(14). Suppose 13*g - l = -7. Calculate the remainder when g is divided by 14.
13
Let r be (1/3)/((-4)/(-108))*11. Let k = -44 + r. Suppose 4*o - d - 87 = 0, -17 = o + 3*d - k. What is the remainder when 90 is divided by o?
21
Suppose -5*l - 3*m + 41 = -m, -2*l + m = -11. Let d(f) = -f**3 + 7*f**2 + 4*f - 3. What is the remainder when d(l) is divided by (-5)/((-10)/(-6)) - -7?
1
Let x(h) = 10*h**2 + 11*h - 27. Suppose 108 + 53 = 7*m. Calculate the remainder when x(-4) is divided by m.
20
Suppose 0 = -11*h + 1330 + 23. Suppose -h = -a - 111. Suppose -a*o + 6*o = -54. What is the remainder when 24 is divided by o?
6
Suppose d = -0*d, -3*i - 4*d = 291. Let m = i + 137. Suppose 0 = -2*n - 0*j + 3*j + 234, -4*n = -3*j - 468. Calculate the remainder when n is divided by m.
37
Suppose 5*c + 752 = 2992. Calculate the remainder when 206 is divided by (9/4)/(4/(c/6)).
38
Let s(p) = 124*p + 551. Calculate the remainder when s(0) is divided by 87.
29
Let u be (-1131)/(-12) - 1/4. Let g(k) = -k**3 + 35*k**2 - 270*k + 71. Let c be g(24). Let r = u + c. Calculate the remainder when 60 is divided by r.
18
Let v = -85 - -128. Let m be ((-2)/10 + -1)*20/(-8). Let s(z) = 10*z - 18. Calculate the remainder when v is divided by s(m).
7
Let a = 82 + -47. Let c = -69 + a. Let u = c + 39. Calculate the remainder when 18 is divided by u.
3
Calculate the remainder when 14535 is divided by ((455/20)/13)/((-5)/20) + 165.
157
Let b = 7485 - 7453. What is the remainder when 141 is divided by b?
13
Let s = 1928 + -1923. What is the remainder when 291 is divided by s?
1
Suppose -2*j + 6*j = -2*c + 2166, 0 = 4*c - 5*j - 4371. What is the remainder when c is divided by 84?
81
Let u(z) be the first derivative of -1/4*z**4 + 11 + 3/2*z**2 + z + 2*z**3. What is the remainder when u(3) is divided by 4?
1
Suppose -4*b + 8*b = -116. Let r = 29 + b. Let g(s) = -s**3 - s + 90. What is the remainder when g(r) is divided by 24?
18
Suppose 3*c = -22*c + 950. Let a = c - 16. What is the remainder when a is divided by 9?
4
Let s(n) = 10*n**3 - 4*n**2 - 2*n - 16. Let r be s(4). Suppose 305*a = 299*a + r. What is the remainder when a is divided by 25?
17
Let u(z) = -z + 10. Let s be u(8). Suppose t + s*o = -15 + 72, -5 = -o. What is the remainder when t is divided by 25?
22
Calculate the remainder when 220 is divided by ((-1482)/(-91))/((-10)/((-840)/18)).
68
Suppose -243 = -1487*b + 1460*b. What is the remainder when 631 is divided by b?
1
Let c(x) = -x**2 - 5*x + 8. What is the remainder when ((3 + -1)*838/(-4))/(-1) - 6 is divided by c(-5)?
5
Let q = -3211 + 3263. Calculate the remainder when 119 is divided by q.
15
Suppose -5*d + 1020 = 5*y, 3*y + 619 = 6*y - 4*d. Calculate the remainder when y is divided by 54.
43
Let d = 38568 + -38559. Suppose -3*h + 0 = -15. Suppose 5*v = -4*j + 239, -142 + 20 = -2*v + h*j. Calculate the remainder when v is divided by d.
6
Let b be 432/5 - 1 - 28/70. Let x be (-1)/(((-20)/b)/4). Suppose -f = 6 - x. Calculate the remainder when 41 is divided by f.
8
Suppose -8*v - f = -2554, 3*v - 5*f - 782 - 208 = 0. Calculate the remainder when v is divided by 80.
0
Let n(u) = -3*u**2 - 12*u**2 - 3*u + 2 + 14*u**2. Let v be n(-2). Suppose 0*y + y - 32 = -v*k, y - k = 12. Calculate the remainder when 45 is divided by y.
13
Suppose -12 = -5*r - j, 0 + 2 = -2*r + 3*j. Calculate the remainder when 141 is divided by -26*r/(4*(-5 + 4)).
11
Let a(s) = -s**2 - 10*s - 7. Let t be a(-9). Let q be ((-2)/t)/((-6)/(-750)). What is the remainder when (-75)/q + (-114)/(-10) is divided by 3?
0
Let x = -772 - -784. Calculate the remainder when (1705/22)/(10/x) is divided by 12.
9
Let a = -38 - -9. Let q be (5 - (-3 + 6)) + a + 1. Let l = q + 43. Calculate the remainder when l is divided by 3.
2
Let f(s) = -4*s**2 - 7*s - 8. Let w be f(9). Let c = -198 - w. Let z = -138 + c. What is the remainder when z is divided by 12?
11
Let m = -13 + 17. Suppose m*r - 49 = -d, -4*r = -3*d - 2*d + 173. Suppose 55 = o + 35. Calculate the remainder when d is divided by o.
17
Let d(i) = -i**2 - 6*i - 7. Let m be d(-3). Suppose -m*f = -f. Suppose f*n + 24 = 2*n. Calculate the remainder when n is divided by 8.
4
Let t(g) = -g**3 - 20*g**2 - 28*g - 1. Suppose 3*n - 57 + 114 = 0. What is the remainder when t(n) is divided by 19?
18
Suppose 2*n + d = 15, 1 = 3*n + 5*d + 3. Calculate the remainder when 1197 is divided by n.
9
Let k = 862 - 862. Suppose -2*g + 7*z - 9*z = -290, k = -3*g + z + 423. Calculate the remainder when g is divided by 50.
42
Let z(s) = s**3 - 30*s**2 + 225*s - 8. Calculate the remainder when 28 is divided by z(16).
4
Suppose -29*v - 1050 = -43*v. Suppose 1227*k = 1230*k - v. Calculate the remainder when 197 is divided by k.
22
Suppose 7*x = 1808 - 632. Let z = x + -117. Calculate the remainder when 203 is divided by z.
50
Let o be (-4)/(-18) - (-277)/9. Suppose o - 83 = -13*k. Suppose -k = 4*f, 10*p - 3*f = 6*p + 243. What is the remainder when p is divided by 21?
18
Let x(u) = 9*u**3 + u**2 + 6*u - 5. Let g be x(1). Let w(t) = -2*t**2 + 25*t + 43. What is the remainder when w(g) is divided by 11?
10
Let k(m) = 5*m**2 - 8*m + 5. Let h be k(4). Suppose -h = -34*v + 423. What is the remainder when 83 is divided by v?
13
Suppose 5*m - 106*k - 5974 = -104*k, 0 = 2*m + 2*k - 2412. What is the remainder when 2397 is divided by m?
1
Let p = 3862 + -3724. Calculate the remainder when 2204 is divided by p.
134
Suppose 287*z = 288*z + 4*n - 773, -4*n = -2*z + 1522. Calculate the remainder when z is divided by 48.
45
Suppose 31*d + 109*d - 65416 = -302*d. Calculate the remainder when 11097 is divided by d.
145
Suppose -35192 = 150*t - 316*t. Calculate the remainder when 332 is divided by t.
120
Suppose 196*w - 194*w = -10, 0 = -5*y + 5*w + 80. Calculate the remainder when 439 is divided by y.
10
Let a(b) = -12*b + 0 + 9 + 4*b + 49. Calculate the remainder when 19 is divided by a(6).
9
Let s(f) = 72*f - 298. Let c = 12 + -6. What is the remainder when s(5) is divided by ((-4)/(-6))/(c/117)?
10
Let x(d) = -11*d - 18. Let c(s) = 10*s + 4. Let v be c(2). Suppose 2*b = -v + 14. What is the remainder when 147 is divided by x(b)?
36
Suppose -39*t - 4*i + 21 = -38*t, t - 7*i - 10 = 0. What is the remainder when (137 - (-15)/(-3)) + -2 + 3 is divided by t?
14
Let i = 53 - -2. Let c(y) = -44*y - 159. Let m be c(-4). Suppose m*s + 120 = 25*s. Calculate the remainder when i is divided by s.
10
Suppose -3*s = 163 - 223. What is the remainder when 91 is divided by (-68 - 1)*s/(-30)?
45
Let i(o) = -4*o**3 - 20*o**2 - 6. Let u be i(-10). Suppose -11*m + u = -6*m + 4*y, -4*m + y + 1612 = 0. Calculate the remainder when m is divided by 45.
42
Suppose -1302*g - 266 = -1321*g. What is the remainder when 431 is divided by g?
11
Let w(c) = -c**2 + 42*c - 72. What is the remainder when w(10) is divided by 82?
2
Let w = -12 - -21. Suppose 0*p + w*p + 72 = 0. Calculate the remainder when (-4)/((28/p)/7) is divided by 3.
2
Suppose 3*s = 35 + 73. What is the remainder when 6/(-33) - (16066/(-638) + -52) is divided by s?
5
Suppose -323 = -9*u + 10*u. Let z = -108 - u. Suppose -63 = 8*l - z. What is the remainder when 150 is divided by l?
17
Let p(u) = -37*u - 139. Let v(c) = 13*c + 46. Let s(i) = 4*p(i) + 11*v(i). Calculate the remainder when s(-14) is divided by 8.
4
Let f = -32 + 153. Suppose f = 28*s - 17*s. Calculate the rema