 6.
2
Let o(s) = -s**3 - 14*s**2 - 14*s - 2. Calculate the remainder when 29 is divided by o(-13).
7
Let r(v) = 5*v - 12. Let w(u) = -u**3 + 51. Calculate the remainder when w(0) is divided by r(5).
12
Let j = 35 + 28. Calculate the remainder when j is divided by ((-8)/(-6))/(2/24).
15
Let r(y) = 2*y**2 + 2*y - 4. Let i = -3 + -4. Let a = i + 4. What is the remainder when 15 is divided by r(a)?
7
What is the remainder when 28 + (-1)/(1 - 2) is divided by 16?
13
Suppose i = 3*i + w, 0 = -4*i - w + 4. Suppose i*u - 4 - 36 = 0. What is the remainder when 58 is divided by u?
18
Suppose -5*x - 1 = -46. Let q = x + -4. Calculate the remainder when 25 is divided by 9/q*10/2.
7
Suppose v - 24 - 21 = 0. Calculate the remainder when v is divided by 17.
11
Suppose 0 = -5*j + 169 + 66. Let t(w) = 2*w**2 + 2*w + 4. What is the remainder when j is divided by t(-3)?
15
Suppose 0 = -7*b + 3*b + 196. Calculate the remainder when b is divided by 18.
13
Let m = 127 + -120. What is the remainder when 15 is divided by m?
1
Suppose 0 = 4*l - 7*l + 5*g + 55, g = 5*l - 77. What is the remainder when 29 is divided by l?
14
Let w = -9 - 1. Calculate the remainder when 7 is divided by w/(-3)*(-36)/(-30).
3
Let f(x) = -25*x**2 + 1. Let y be f(-1). Let m(i) = -i**3 + 2*i**2 + i - 1. What is the remainder when (-1 - -8)*y/(-7) is divided by m(-2)?
11
Let o(v) = v**3 - 4*v**2 - 4*v + 5. Let d be o(5). Suppose -11*j = -9*j - d. What is the remainder when 7 is divided by j?
2
Let k = 1 + 2. Calculate the remainder when 20 is divided by 2/k - 171/(-27).
6
Let w be (2/6)/(2/18). Suppose w*x - 64 = x. Calculate the remainder when x is divided by (-3)/(-2 - 62*(-1)/34).
15
Suppose -4*l - 4*u = 0, u + 4 = -0*l + 3*l. Let f be 0 - l - 2*-1. What is the remainder when 43/2*f*2 is divided by 15?
13
Calculate the remainder when (-135)/(-30)*(-14)/(-3) is divided by 6.
3
Let s be 1030/18 - (-12)/(-54). Let k = s + -32. What is the remainder when k is divided by 9?
7
Let d(c) = -3*c**2 + 3*c - 5. Let o be d(2). Let k = o - -22. Calculate the remainder when 43 is divided by k.
10
Suppose 4*i + 5*s + 0 = 4, 2*s + 8 = 0. Let n be (6/9)/(i/27). Suppose j = -n*x + 12, -2*j - j + 54 = 3*x. What is the remainder when 62 is divided by j?
20
Let f(b) = b**3 + 5*b**2 - 7*b - 3. Let k be f(-6). Suppose -12 = -0*w - k*w. Calculate the remainder when 7 is divided by w.
3
Suppose 4*x + 29 = z + 8, 0 = -2*z + 3*x + 17. Let p(a) = 30*a**3 + a - 1. Calculate the remainder when p(z) is divided by (2/(-5))/((-7)/280).
14
Let x(f) = f**2 - 7*f - 2. Let p be 23*3*(-10)/(-15). Suppose -2*d + p = 4*a, -5*d + 2*d - 30 = -5*a. What is the remainder when 29 is divided by x(a)?
13
Let u(p) = -2*p - 5. Calculate the remainder when u(-18) is divided by 8.
7
Suppose -208 = -17*j + 9*j. What is the remainder when j is divided by 15?
11
Suppose -6 = 4*s - 50. Calculate the remainder when s is divided by 3.
2
Let k = 3 - 2. Let r = k + 11. Suppose -6 = -2*h + r. Calculate the remainder when 26 is divided by h.
8
Let j(i) = -5*i - 9. What is the remainder when j(-8) is divided by 11?
9
Suppose -2*f + 32 = y, 4*y + 2*f = 7*f + 141. What is the remainder when y is divided by 7?
6
Suppose 4 = p - 2*r + 3*r, -4*p + 5*r = -52. Suppose 22 = 2*l - q, 3*l + 3*q - 7 = p. Let x = -95 - -112. Calculate the remainder when x is divided by l.
8
Let a(g) = -3 + 0*g + 2*g + 6*g + 0*g. What is the remainder when a(5) is divided by 10?
7
Let g = -29 + 41. What is the remainder when g is divided by 9?
3
Suppose 2*b - 2*a - 3 = 1, 4*b - 3*a - 8 = 0. Suppose -8 = 2*n, b*z - n - 16 = 4*z. Let p = 2 - z. What is the remainder when 23 is divided by p?
7
Let v(x) = -x**2 + 18*x - 29. Calculate the remainder when v(13) is divided by 13.
10
What is the remainder when 170 is divided by 19 - (-2)/(-4)*(-1 - -1)?
18
Suppose y + 2*c - 4*c = 2, 2 = y + 3*c. Suppose -4*z + 5 = -3. Calculate the remainder when y is divided by z.
0
Let b(p) be the third derivative of p**5/30 + 7*p**4/24 + 2*p**3/3 - 5*p**2. What is the remainder when b(-4) is divided by 5?
3
Let a(g) = -g**3 - g**2 - g + 2. Let m = -6 - -3. Calculate the remainder when a(m) is divided by ((-104)/65)/(((-2)/10)/1).
7
Let p = 3 + 4. Suppose 0 = -36*c + 7*c + 986. Calculate the remainder when c is divided by p.
6
Suppose -4*z + 3 = 5*m - 1, 0 = 3*m + z - 8. Suppose m*h - 8*h = -100. What is the remainder when h is divided by 52/(-6)*(-6)/4?
12
Suppose 3*s - 32 = 2*p - 0*p, p + 28 = 3*s. Calculate the remainder when 2496/65 - (-2)/(-5) is divided by s.
6
What is the remainder when 85 is divided by 3/(-2)*88/(-6)?
19
Let d(k) = -k**3 - 8*k**2 - 3*k - 12. What is the remainder when 21 is divided by d(-8)?
9
Let o(k) = k**3 + 4*k**2 - 10*k + 14. Calculate the remainder when o(5) is divided by 38.
37
Suppose 19 + 18 = h. Suppose -5*x + 228 = 178. What is the remainder when h*((-2)/2)/(-1) is divided by x?
7
Suppose 0 = 4*t - 0*f + 2*f - 10, 5*t - 4*f - 32 = 0. Calculate the remainder when 10 is divided by t.
2
Suppose -3*m + 40 = m. Suppose -5*z + 12 = -3. What is the remainder when m is divided by z?
1
Suppose -z + 8 = -4. Let b be (-6*(-2)/(-3))/(-1). Suppose -b*w - w = -170. What is the remainder when w is divided by z?
10
Let c = 8 + -5. Suppose 26 = 3*t + 4*b + 7, 4*t - 21 = -b. What is the remainder when t is divided by c?
2
Suppose 5 = -5*v, -3*v - 20 = -3*g + 31. Calculate the remainder when 94 is divided by g.
14
Suppose -5*j = -0*j - 2*f - 236, 0 = -4*j + 3*f + 186. What is the remainder when j is divided by 10*(0 + 5/2)?
23
Let u = -40 + 67. Calculate the remainder when 51 is divided by u.
24
Let o(l) = -l + 13. Let w(p) = p**3 + 5*p**2 + 7*p. Let r be w(-3). Calculate the remainder when (-139)/(-3) + 4/6 is divided by o(r).
15
Suppose -3*h - 31 = -3*z - 4*h, 2*h = 2. Calculate the remainder when 39 is divided by z.
9
Suppose 5*v + 5 = -3*r + 4*r, -r = -4*v - 5. Suppose -5*k + 114 + 121 = v. Calculate the remainder when k is divided by 12.
11
Suppose -254 = -5*m + 3*m. What is the remainder when m is divided by 65?
62
Let j be (0 + 2 - 2) + -111. What is the remainder when (j/(-6))/(2/4) is divided by 13?
11
Let t(j) = j**2 + 6*j + 3. Let s be t(-6). Let v be 2 - 4 - (s + -4). What is the remainder when 375/12 + v/4 is divided by 11?
9
Let c = -2 + 26. Suppose -t = 6 - c. What is the remainder when t is divided by 7?
4
Suppose 5*h + 5*a - 75 = 80, 41 = h + 3*a. What is the remainder when h is divided by (3/6)/(2/28)?
5
Let i(s) = 14*s**3 - s**2 + s - 1. Calculate the remainder when 23 is divided by i(1).
10
Let c(r) = -3*r**2 - 1. Let k be c(-1). Let d(n) = -n + 1 - 4 + 1. What is the remainder when d(k) is divided by 2?
0
Suppose 4*z = z + 69. Suppose c = -0*c + 2. Suppose -11 - 1 = -c*f. What is the remainder when z is divided by f?
5
Suppose 3*h - 62 = 3*w - 305, 148 = 2*w + 5*h. Let o = 16 + 0. Calculate the remainder when w is divided by o.
15
Let h = -123 + 177. What is the remainder when h is divided by 19?
16
Let k = 3 + -3. Suppose 4*u + 10 - 54 = k. Suppose -4*h + 2*x = -7 - 61, -h - x = -u. What is the remainder when 43 is divided by h?
13
Suppose 3*v - 2*g = -6*g + 88, v = -4*g + 40. Calculate the remainder when v is divided by 14.
10
Suppose -v = -0*v - 24. Suppose -6 = 2*p - 0, -w = -5*p - 107. Suppose 4*n = w + 92. Calculate the remainder when n is divided by v.
22
Suppose 1 = 2*v - 45. Calculate the remainder when v is divided by -2 + 16/2 + 2.
7
Suppose -y = -b + 29, -b + 2*y = 2*b - 82. Suppose -2*c = -x + 4 + 18, 0 = -2*x - c + b. Calculate the remainder when x is divided by 8.
6
Calculate the remainder when 118 is divided by ((-120)/3)/(-2 + 3 + -2).
38
What is the remainder when (-1454)/(-12) + (-10)/60 is divided by 31?
28
Calculate the remainder when 88 is divided by (81/12 + -6)/(1/24).
16
Let a(k) = -3*k - 4. Let z be a(-3). Suppose -z*y + u = -38, -2*u - 32 - 2 = -4*y. Calculate the remainder when 13 is divided by y.
6
Suppose -2*d - 2*d + 4*m + 32 = 0, -5*d + 50 = -3*m. Calculate the remainder when 50 is divided by d.
11
Suppose s - 5 = 3*z, -3*z = z - 3*s + 15. What is the remainder when 6 - 3 - 1/(-1) is divided by (1 + z/2)*2?
0
Suppose 13*z - 15 = 12*z. Calculate the remainder when 24 is divided by z.
9
Let c = -4 - -4. Let i = c + 2. Let q = 5 - 1.