by n?
3
Let r = 6 - 18. Let o = -5 - r. Let j(h) = h**3 - 7*h**2 + 4*h - 5. Calculate the remainder when 44 is divided by j(o).
21
Suppose -5*r = 2*i + 9, 0 = i - r - 2 - 4. Suppose 2*u + 4*f - 54 = 0, -3*u = -0*u + i*f - 66. Calculate the remainder when 65 is divided by u.
14
Suppose 20*z = -14*z + 8126. Calculate the remainder when z is divided by 19.
11
Let r(d) = -5*d - 2. Let z(g) = 10*g**2 - 7*g + 9. Calculate the remainder when z(2) is divided by r(-3).
9
Let i(y) = y**3 - 63*y**2 + 122*y + 4. Calculate the remainder when 982 is divided by i(61).
2
Let b(r) = r - 4. Let a be b(-6). What is the remainder when -148*(1 - (-15)/a) is divided by 38?
36
Suppose -2*l = -833 - 411. Calculate the remainder when l is divided by 89.
88
Let d(s) = -2*s + 4. Let u(l) = 2*l**3 - 81*l**2 - 37*l - 124. What is the remainder when u(41) is divided by d(-4)?
4
Let t be (-2)/(-5) + 560/(-25). Let i = t - -28. What is the remainder when 2 + 1 + 4 + 3 is divided by i?
4
Suppose 4*q - 4*h = 344, -453*q + 457*q - 3*h - 342 = 0. Suppose -2*i + 6*i - 68 = 0. Calculate the remainder when q is divided by i.
16
Let r(w) = -3*w**3 + 2*w**3 - 11*w + 20 + 18*w**2 - 8*w + 6*w. Calculate the remainder when r(17) is divided by 15.
13
Let w = 156 + -110. Let g(t) = t**3 + 6*t**2 - 9*t - 9. Let m be g(-7). Suppose -m*p + 99 = -w. Calculate the remainder when p is divided by 16.
13
Let d(u) be the second derivative of -u**3/3 + 10*u**2 + 6*u. What is the remainder when 7 is divided by d(9)?
1
Suppose 22*m - 1340 = -790. What is the remainder when 78 is divided by m?
3
Let b = -182 - -214. Calculate the remainder when 189 is divided by b.
29
Let f = 27 + -89. Let k = 106 + f. Suppose -k = -2*m - 2. Calculate the remainder when m is divided by 11.
10
Suppose 2*b + 16 = 3*n, -2*b = n + 5 - 21. Calculate the remainder when 14 is divided by n.
6
Let s(t) = -t**3 + 5*t**2 - 5*t + 6. Let w be s(4). Suppose -w*v + 13 + 22 = u, u + 3 = 0. What is the remainder when 36 is divided by v?
17
Let x(g) = 35*g**2 + 44*g**2 + 2*g + 1 - 65*g**2. What is the remainder when x(-1) is divided by 8?
5
Let u(j) = j**3 + 13*j**2 + 4. Let w be u(-13). Suppose -9 = -3*f, -453 = -w*c - 4*f + f. Calculate the remainder when c is divided by 19.
16
Suppose -38*h + 3*m = -36*h - 33, h + m = 14. What is the remainder when 2998 is divided by h?
13
Let n(h) = 4*h**2 + 6*h - 5. Suppose 4*k + 5*y - 2*y = 34, -2*y = -4*k + 44. Let u = k - -7. What is the remainder when n(-5) is divided by u?
14
Let h(f) = f**3 - 20*f**2 + 4*f - 2. Calculate the remainder when h(20) is divided by 14.
8
Let r(n) = 3*n**2 + 52*n - 12. Calculate the remainder when 154 is divided by r(-18).
10
Let b = 926 - 843. Calculate the remainder when b is divided by 41.
1
Suppose 2*z - 20 = 2*k, -4*z = -5*k - 32 - 10. Calculate the remainder when 77 is divided by z.
5
Suppose y - 27 = -2*u, 4*u - 47 = -3*y + 10. What is the remainder when 93 is divided by u?
9
Let z = -14 - 32. Let v = z - -80. Let s = 233 + -224. What is the remainder when v is divided by s?
7
Suppose h - 3*d = -5*d + 13, -4*h - d + 38 = 0. What is the remainder when 12856/120 - (-16)/(-120) is divided by h?
8
Let i be (2/(-2))/((-1)/3). Suppose 0 = 4*q - 0*q - 8. Suppose q*p - 2*r = r + i, -5*p + 10 = -5*r. Calculate the remainder when 7 is divided by p.
1
Let g be (4 + -2 - 0) + 10. Suppose -3*u + g = -15. Calculate the remainder when -26*(-3)/6*2 is divided by u.
8
Calculate the remainder when 2346/7 - (-1)/(-7) is divided by 26.
23
Let t be (2/4)/((-2)/(-8)). Suppose -4*u = t*j - 26, -u + 5*j - 17 = -5*u. Let y(m) = -4*m**2 + 86*m + 22. What is the remainder when y(0) is divided by u?
6
Suppose 8 = -2*g, 5 = c - g - 15. Suppose 0 = 3*b - c - 14. Let y = -57 + 104. What is the remainder when y is divided by b?
7
Let d = -1106 + 1139. Let g(r) = -130*r**3 + r. Calculate the remainder when g(-1) is divided by d.
30
Let u(y) = -4*y**2 - 14*y - 5. Let a be u(-3). Let t(q) = -1 - q + 3*q - 2*q**2 + 12*q**2. Calculate the remainder when 41 is divided by t(a).
8
Suppose b + 3*b = 0. Suppose 5*x + 3*d - 80 = b, 0 = -0*d + 3*d. What is the remainder when 59 is divided by x?
11
Suppose -7*k = -4*k + 9, 0 = -3*f + 5*k + 90. What is the remainder when f is divided by 20?
5
Let d be (-3)/1 - (6 + -35). Suppose -3*m + 31 + d = 0. What is the remainder when 67 is divided by m?
10
Let n be (143/44)/(2/(-8)). Let u = n - -42. What is the remainder when (-902)/(-8) + 3/12 is divided by u?
26
Suppose -19*x + 26*x - 182 = 0. Calculate the remainder when 38 is divided by x.
12
Suppose 11*f - 10*f + 4*l - 22 = 0, -5*f + 74 = 2*l. What is the remainder when 29 is divided by f?
1
Let j(v) = -v**2 - 6*v + 1. Suppose y = -y + 5*k - 6, 2*y - 2*k = -6. What is the remainder when j(-6) is divided by (-3 - -2)*(2 + y)?
0
Let q(m) = m**2 + m + 2. Let f be 3/(-12)*(-6 - -2). Suppose 4*d - 5*v = -5 + f, 5*d - 5*v = 0. Calculate the remainder when q(d) is divided by 12.
10
Let l = -5 + 68. Let o = -57 - -90. What is the remainder when l is divided by o?
30
Suppose -6*r - 132 = -348. What is the remainder when r is divided by (-6 + 3 - -14) + -1?
6
What is the remainder when ((11/(-22))/(2/(-1052)))/1 is divided by 27?
20
Let l = 2870 + -2682. Calculate the remainder when l is divided by 51.
35
Suppose 3*a = -3*w - 33, -23 = w - 0*a + 4*a. Calculate the remainder when 47 is divided by (9/7 + -3)*w.
11
Let z be -5*(24/(-135) - (-4)/(-18)). Suppose 0 = z*c - 10*c + 264. Calculate the remainder when 98 is divided by c.
32
Let l be -3 + 0 - (-648 + -10). Let s = l - 443. Suppose -5*y = i - s, -5 = y - 5*i - 63. Calculate the remainder when y is divided by 9.
7
Suppose -7*m + 5*m = 0. Suppose m*d - 3*d + 75 = 0. Suppose -a + d = -5*x, 0 = -4*a + 4*x - 2*x + 28. What is the remainder when 17 is divided by a?
2
Let h(t) = -t**3 + 51*t**2 - 48*t - 47. Suppose 418 = -0*l + 2*l. What is the remainder when l is divided by h(50)?
50
Let m(s) be the first derivative of s - 7/3*s**3 - 1 - 1/4*s**4 - 3/2*s**2. What is the remainder when m(-7) is divided by 5?
2
Suppose -1134 = -9*z - 12*z. What is the remainder when z is divided by 10?
4
Let l(r) = -3*r**3 - 8*r**2 - 14*r - 2. What is the remainder when l(-4) is divided by 27?
10
Suppose 41 = -47*m + 52*m + n, 2*m + n = 14. What is the remainder when 131 is divided by m?
5
Let k = 2 + 2. Suppose 0*w - 5*w - 4*v + 50 = 0, -v + 20 = 2*w. Suppose -p = -s - w, 20 = 2*p - 2*s + 3*s. Calculate the remainder when p is divided by k.
2
Let o be ((-14)/(-2))/(-7) + (2 - 1). Suppose 5*u - 95 = 3*b, o*b + b = 5*u - 85. What is the remainder when 93 is divided by u?
13
Suppose -15*q = 4*q - 969. What is the remainder when q is divided by 30?
21
Let a(g) = 149*g**2 + 3*g + 2. Calculate the remainder when a(-1) is divided by 59.
30
Let w = -1442 - -1807. Calculate the remainder when w is divided by 46.
43
Let a(o) be the third derivative of o**5/60 + o**4/24 - o**3/2 + 26*o**2. Let t be (2 - (-2)/(-2)) + -4. Calculate the remainder when 6 is divided by a(t).
0
Suppose -30*x + 32*x = 5*w - 123, 4*x + 16 = 0. Calculate the remainder when 4/(-1 - 1) + 43 is divided by w.
18
Suppose -4*y - 2*b + 14 = 0, 2*y + 2*b - 4 - 4 = 0. What is the remainder when y is divided by ((-44)/88)/(-1*(-3)/(-12))?
1
Let a = -25 - -28. Suppose 4*i - a*d - 11 = -2*d, 0 = 3*i + 4*d - 13. Calculate the remainder when 4 is divided by i.
1
Let b = 18 - -35. Let m(r) be the second derivative of r**4/12 + r**3/3 + 3*r**2 + 3*r. What is the remainder when b is divided by m(-4)?
11
Let s(c) = c**3 + 16*c**2 + 11*c + 14. Let t be s(-12). Suppose -j - 87 + t = 4*u, u + 3*j - 101 = 0. What is the remainder when u is divided by 25?
17
Let c(h) = h**2 + 2*h - 19. Let t be c(-6). Suppose t*d - 3*g = 65, 2*d - 2*g = 21 + 5. What is the remainder when d is divided by 4?
1
Let n(g) = -13*g + 2. Suppose -5*x + 76 = 4*r + 16, 0 = -2*x. Calculate the remainder when n(-2) is divided by r.
13
Let x(q) = q**3 - 8*q**2 - 7*q + 7. Let z be x(9). Let w = z + -16. Let u = 12 - w. Calculate the remainder when 16 is divided by u.
1
Let c(z) be the first derivative of 6*z**2 + 4. Calculate the remainder when 4/(4*1/94) is divided by c(2).
22
Let g(f) = -f - 66. Let s be g(0). Let l = s + 99. What is the remainder when l/(-3 + 0)*-1 is