 5.
2
Suppose -d + 4*g = -7, -2*d + 0*g = 4*g - 2. Let y(r) = r**3 + 5*r**2 - 5*r - 1. Let a be y(-6). Let u = a + 19. Calculate the remainder when u is divided by d.
0
What is the remainder when (351/(-12) + -4)/(2/(-24)) is divided by 15?
9
Let j = 2 - 48. What is the remainder when 89 is divided by (6/2)/(-6)*j?
20
Let y = -10 + -16. Let k = y + 37. Calculate the remainder when k is divided by 7.
4
Let p = -253 - -427. Calculate the remainder when p is divided by 60.
54
Let u(c) = 4*c - 14. Let x be u(6). Suppose 14*k - x*k = 300. What is the remainder when k is divided by 26?
23
What is the remainder when (1/3)/(21/2898) is divided by 7?
4
Suppose 102 = 3*p - 0*p. Calculate the remainder when 305 is divided by p.
33
Let n(p) = -9*p + 52. Let v be n(7). Let q = 49 + v. Suppose 4*b + 0*b - 84 = 0. What is the remainder when q is divided by b?
17
Let y(h) = h**2 + 3*h + 1. Let z be y(-2). Let s = 0 + 5. Calculate the remainder when ((-4)/8)/(z/26) is divided by s.
3
Suppose 28*n - 1058 = 454. What is the remainder when n is divided by 19?
16
Suppose -4*f - 3*c - 218 = -628, 0 = -5*f - 2*c + 509. Let q be (0 - 25/(-5)) + -3. Suppose 0 = q*x + 154 - 206. Calculate the remainder when f is divided by x.
23
Let q(z) = -z**3 - 34*z**2 + 35*z + 30. Calculate the remainder when q(-35) is divided by 16.
14
What is the remainder when ((-13)/(-39))/(2/396) is divided by 18?
12
Suppose 227*o - 229*o + 18 = 0. What is the remainder when 295 is divided by o?
7
Let q(h) = -2*h**2 + 43*h - 37. Calculate the remainder when 1379 is divided by q(20).
22
Let z = 5075 + -5063. Let d = 113 - 66. Calculate the remainder when d is divided by z.
11
Suppose 23 = -h - 2*r, -h - 80 = 2*h - 5*r. Let s be ((-3)/3)/(1/h). Let v = s + 25. What is the remainder when v is divided by 13?
11
Calculate the remainder when (-1074)/(-15) + -2 + (-60)/(-25) is divided by 7.
2
What is the remainder when 232 is divided by (-108)/4*(-42)/63?
16
Suppose -2 = k - 13. Let d(x) = -20*x - 2. Let u be d(-1). Suppose 0 = 5*l - 2*l - u. Calculate the remainder when k is divided by l.
5
Let l = -1070 - -1114. What is the remainder when 68 is divided by l?
24
Suppose 4*f + 4*f = 1352. Calculate the remainder when f is divided by 46.
31
Let v(u) be the third derivative of u**6/120 - u**5/20 - u**4/12 + u**3/2 + 18*u**2. Calculate the remainder when v(6) is divided by 10.
9
Let o(l) = l**3 - 4*l**2 + 2*l + 3. Calculate the remainder when o(5) is divided by 14 + (-7 - -16 - 3).
18
Let c(m) = -2*m**3 + 10*m**2 + m + 6. Calculate the remainder when 3 + -2 - (0 + -52) is divided by c(5).
9
Let z = -1184 + 1312. What is the remainder when z is divided by 39?
11
Let w(s) = s**3 - 13*s**2 + 2*s - 3. What is the remainder when w(13) is divided by 19?
4
Suppose -120 = -13*u + 18*u. Let m be ((-43)/(-2))/((-1)/2). Let h = u - m. Calculate the remainder when h is divided by 5.
4
Let s(j) = -j + 5. Let h be s(2). Calculate the remainder when 105 is divided by h/24 + 287/8.
33
Suppose 1992 = 135*n + 372. Let j(p) = 10*p + 3. Calculate the remainder when j(3) is divided by n.
9
Let x(b) = -2*b - 6. What is the remainder when ((-18)/(-2))/(5/5) is divided by x(-5)?
1
Suppose 78*z - 80*z + 708 = 0. What is the remainder when z is divided by 51?
48
Suppose 2*i = u + 4*u - 76, -54 = -3*u + 4*i. Suppose 0 = -139*y + 46*y + 279. Calculate the remainder when u is divided by y.
2
Let l(m) = 79*m**2 + 4*m - 5. Calculate the remainder when l(1) is divided by 24.
6
Let r(k) = -3*k + 6. Let g be ((-7)/1)/(6/(-12) - -1). Calculate the remainder when r(g) is divided by 13.
9
Calculate the remainder when 377 is divided by 5130/189 + (-2)/14.
26
Let q(w) = -w**2 + 6*w - 4. Let c be q(3). Suppose 0 = c*v + 5*f - 70, 4*v - 6*v = -f - 13. What is the remainder when 13 is divided by v?
4
Suppose -19 = -m + 3. Let x = -35 - -49. What is the remainder when m is divided by x?
8
Suppose -3*y - 2 + 29 = 0. Let h be 15/(12/(-20)*-1). Let a = h + -9. Calculate the remainder when a is divided by y.
7
Let j(m) = -m**2 - 17*m - 3. Let l = 3 - -2. Suppose -l*x + 0*u + 56 = -2*u, -5*u + 25 = 4*x. Calculate the remainder when j(-15) is divided by x.
7
Suppose -271 = -4*v + 5*z, 0 = -3*v + 39*z - 40*z + 227. What is the remainder when v is divided by 48?
26
Suppose 2*i = 6*i. What is the remainder when 33 is divided by (-4)/(-14) + ((-188)/(-28) - i)?
5
Let w(y) = -y**3 + 40*y**2 - y + 58. Calculate the remainder when 47 is divided by w(40).
11
Let b = -279 - -290. What is the remainder when 75 is divided by b?
9
Let m(c) = -10*c + 44. Calculate the remainder when m(-8) is divided by 29.
8
Let a = 41 + -25. Suppose 4*z + 7 = -3*z. Calculate the remainder when (-6)/(2 - z) - -64 is divided by a.
14
Suppose 6*r = 98 + 148. Calculate the remainder when r is divided by 8.
1
Suppose 92 - 1160 = -12*w. Calculate the remainder when w is divided by 30.
29
Suppose 2*x + 4*q = 8, -q + 3*q = x - 24. Let d(m) = -4*m - 12. Let v be d(-7). What is the remainder when 123/2*v/24 is divided by x?
13
Let k = -32 - -35. Suppose 0*p - 4*w - 57 = -k*p, 0 = -2*w. What is the remainder when 35 is divided by p?
16
Let v(s) = -s**2 + 9*s - 8. Let q be 30/(-10) + (1 - -18). Suppose 13*r = q*r - 51. What is the remainder when r is divided by v(7)?
5
Suppose 0*x - 3*w = -2*x - 161, -3*x + w = 224. Let q = 48 + x. Let l = q - -57. Calculate the remainder when l is divided by 11.
10
Suppose -3*s - 2*r = -88, -s + 0*r + 2*r = -24. Let z = -29 + s. Calculate the remainder when 60 - (4 + z - 3) is divided by 31.
29
What is the remainder when 23 is divided by (27 - (-9)/3)*1/3?
3
Let g(c) = -5*c**3 + c**2 + 72*c + 15. What is the remainder when g(-7) is divided by 9?
6
Suppose 5*y = y + 640. Suppose -235 = -5*v - 2*t, -4*t - t + y = 3*v. What is the remainder when 222 is divided by v?
42
Let h(q) = -8*q - 7. Suppose -4*d = 5*w + 5, -4*w = -2*d - 6 - 16. What is the remainder when h(d) is divided by 7?
5
Suppose 2*m = 4*f + 3*m + 43, -f + m - 17 = 0. Let i = 18 + f. Suppose 0 = k + 1 - i. Calculate the remainder when k is divided by 3.
2
Let z = 291 + -277. Let i(t) = 5*t**2 + 5*t - 5. Calculate the remainder when i(4) is divided by z.
11
Let x(j) = 10*j**2 + 2*j + 1. Let s = -5 - -4. Suppose 3 = -5*m - 17, 0 = -4*r + 5*m + 32. What is the remainder when x(s) is divided by r?
0
Let y(r) be the third derivative of -r**4/24 + 4*r**3/3 + 10*r**2. Calculate the remainder when 6 is divided by y(6).
0
Suppose -5*g = -2*s + 85, 4*g - 3*s + 45 = -23. Let x = 7 - g. Let m = 35 - 21. What is the remainder when x is divided by m?
10
Let z = 346 + -326. Calculate the remainder when 97 is divided by z.
17
Suppose -3*t + 544 = -o, -o = -5*t + 369 + 539. What is the remainder when t is divided by 18?
2
Suppose -t = -3*t - 5*m + 56, -4*t + 68 = -m. What is the remainder when 83 is divided by t?
11
Suppose 3*u = -h + 31, -6*u - 56 = -10*u - 5*h. Suppose 0 = q - u*q + 312. What is the remainder when q is divided by 10?
9
Suppose 3*h = 9, -5*p + 78 = -p + 2*h. Let v = p + -1. Calculate the remainder when v is divided by 5.
2
Suppose 5*m - 15 = 4*z, -z - 3*z - 23 = 3*m. Calculate the remainder when 1 - 0 - (-23 + z) is divided by 6.
5
Let d = -26 - -28. Let w(s) = 2*s**2 + 2*s + 4. Calculate the remainder when w(d) is divided by 10.
6
Let r(g) = 44*g + 3. Let f be r(2). Suppose f = 5*d + n, -3*n = -0*n - 3. Calculate the remainder when 69 is divided by d.
15
Let t = -18 - 15. Let i = t + 43. Let q(a) = 14*a. What is the remainder when q(2) is divided by i?
8
Suppose 4*k - 4*g - 92 = -0*k, -4*g = 16. Calculate the remainder when 354 is divided by k.
12
Let n(s) = 132*s**2 + s - 1. Let d be n(1). Let m = d + -119. What is the remainder when 62 is divided by m?
10
Let w(q) = q**3 - 6*q**2 - 4*q - 7. Let r(m) = m**3 + 11*m**2 + m - 7. Calculate the remainder when r(-10) is divided by w(7).
13
Let c(w) = -5*w**2 - 30*w + 17. What is the remainder when c(-6) is divided by ((-20)/(-6))/((-2)/(-6))?
7
Suppose -9*z = -8*z - 4*r - 15, 3*r - 15 = 0. Suppose -544 = l - 5*l. Calculate the remainder when l is divided by z.
31
Suppose 8*c - 1199 = 1681. What is the remainder when c is divided by 14?
10
Suppose -7*d + 4*d + 9 = 0. Suppose -50 = w - d*w. Calculate the remainder when w is divided by (11/2 - 2)/