7). Let f(p) = -p**3 + 10*p**2 + 11*p + 8. Calculate the remainder when 15 is divided by f(z).
7
Suppose 8*r - 44 = 4*r. Let v(i) = i**3 + 6*i**2 + 6. Calculate the remainder when v(-5) is divided by r.
9
Suppose 4*a = -r - 12, 3*a - 13 = 3*r - r. What is the remainder when 19 is divided by (20/6)/(r/(-12))?
4
What is the remainder when 65 is divided by (66/4)/((-4)/(-8))?
32
Let t be (12/(-9))/((-2)/3). Let g(d) = d**2 - d - 1. Let j be g(t). Suppose -19 - j = -4*r. What is the remainder when 8 is divided by r?
3
Let w be 3/(-6) + (-1)/2. Let m = 2 - w. Suppose 0 = -l - m*z + 9 + 18, -4*l = z - 64. What is the remainder when 43 is divided by l?
13
Calculate the remainder when 47 is divided by 8/28 + (-234)/(-14).
13
What is the remainder when 6*6/(-27)*-33 is divided by 25?
19
Suppose -2*h + 3*h = 18. Suppose -b - 10 = 3*r, -10 = -4*b + r - 3*r. Calculate the remainder when h is divided by b.
3
Let u be (1 + 0)/((-6)/12). Calculate the remainder when 12 is divided by 9 - (-2 + u)/(-2).
5
Suppose 5*u = -0 + 20, -86 = -5*d + u. Calculate the remainder when d is divided by (((-21)/6)/(-7))/((-3)/(-30)).
3
Suppose 2*h - 3 = 7, 2*q - h + 5 = 0. Suppose q = 3*z + z - 16. Suppose 4 = 2*u - 2. What is the remainder when z is divided by u?
1
Suppose -5*y - 5*p + 90 = 380, y - 2*p = -43. Let m = -24 - y. What is the remainder when m is divided by (0 - -1)/((-2)/(-30))?
14
Let h(a) = 9*a**2 + 2*a + 7. Let u be h(5). Calculate the remainder when 3/(-12) - u/(-8) is divided by 8.
6
Let l = 33 + -8. Calculate the remainder when 123 is divided by l.
23
Let p(d) = d**2 - 5*d + 2. What is the remainder when 110 is divided by p(9)?
34
Suppose 2*c - 75 + 3 = 0. What is the remainder when c is divided by 13?
10
Suppose 0*n + 2*n = -4. Let b(y) = -11*y - 1. What is the remainder when 40 is divided by b(n)?
19
Let d(n) = 2*n**2 - 2*n - 3. Suppose 0 = 3*l - 5*h - 19, h = -l + 3*h + 7. Suppose 0*q - q + l = 0. Calculate the remainder when 25 is divided by d(q).
7
Let c = 0 + 4. Suppose -2*h + c + 22 = 0. Calculate the remainder when 24 is divided by h.
11
Calculate the remainder when 24 is divided by 21*(-3)/2*8/(-18).
10
Suppose 2*b + b = 15. Suppose 3*o = b*o - 22. What is the remainder when 30 is divided by o?
8
Let s(v) = 16*v**2 + 6*v + 1. Let j(g) = g**2 + g. Let k(p) = -4*j(p) + s(p). What is the remainder when (1 - 1)/(-2) - -32 is divided by k(-1)?
10
Let s(l) be the third derivative of l**6/120 - 11*l**5/60 + l**4/12 + 5*l**3/6 - 5*l**2. Calculate the remainder when s(11) is divided by 7.
6
Suppose 0*s - t = -5*s + 241, -s + 33 = -4*t. Calculate the remainder when s is divided by (-4)/(-2) - (2 + -17).
15
Let o(a) = a**3 + 6*a**2 - a - 6. Let u be o(-6). Suppose -5*d - 35 + 5 = u. Calculate the remainder when 22 is divided by d/4*96/(-18).
6
Suppose f + 48 = 9*f. What is the remainder when 22 is divided by f?
4
Suppose 0*f = -f + 10. Let y = f + -6. Suppose 0 = y*j - 28 - 28. What is the remainder when 27 is divided by j?
13
Let h(o) = o**3 + 4*o**2 - o. Let b = 573 + -568. What is the remainder when b is divided by h(-4)?
1
Let a be (12/(-7))/((-12)/126). Suppose 0*w = -3*w + a. Suppose 25 = 2*g + 5. Calculate the remainder when g is divided by w.
4
Let z(w) = -8*w**3 + 27*w**2 + 21*w - 6. Let f(k) = 3*k**3 - 9*k**2 - 7*k + 2. Let x(g) = -11*f(g) - 4*z(g). What is the remainder when x(-9) is divided by 17?
14
Let w(h) = -3*h + 16. Calculate the remainder when 108 is divided by w(-7).
34
Suppose 6 + 10 = 2*l + d, 16 = 2*l - 4*d. What is the remainder when 25 is divided by l?
1
What is the remainder when (2 + -188)/(-3) + 3 is divided by 22?
21
Suppose -9 + 13 = v. What is the remainder when v is divided by 4?
0
Let h(o) = -o**3 + 10*o**2 - 8*o - 2. Calculate the remainder when h(9) is divided by 4.
3
Let n(v) = -328*v**3 + v**2 - v. Let m be n(1). Calculate the remainder when 34 is divided by (-2)/(-7) - m/28.
10
Let w(x) = -x**2 + 1. Let l be w(1). Suppose l*v - 2*v = -4*p + 82, 4*v = 2*p - 26. Let y = -11 + p. Calculate the remainder when 22 is divided by y.
10
Suppose 0 = n - 61 + 9. Let v(m) = 2*m**3 + 2*m**2 - 2*m - 2. What is the remainder when n is divided by v(2)?
16
Let n = 77 + -46. Calculate the remainder when n is divided by 8.
7
Let h be (-4)/(-22) + 100/55. What is the remainder when (0 + h/(-2))*-15 is divided by 8?
7
Suppose 5*k + 19 = 134. What is the remainder when 43 is divided by k?
20
Let x(d) = d**3 - d**2 + 2*d - 3. Let p be x(2). Suppose 2*o = 3*t + p + 7, -o - 5*t + 19 = 0. Calculate the remainder when 35 is divided by o.
8
Let m(y) = y**3. Let i be -3 + ((-12)/3 - -2). Let w = 27 + i. What is the remainder when w is divided by m(2)?
6
Suppose -m + 2*m - 39 = 3*c, 0 = -5*c - 20. What is the remainder when m is divided by (5/(-3))/(2/(-18))?
12
Let l be (2 - 6/(-1)) + -1. Let f be 90/25 + (-2)/(-5). Let h = l + f. Calculate the remainder when 43 is divided by h.
10
Suppose 3*v = 296 - 14. Let f = v + -36. Calculate the remainder when f is divided by 20.
18
Let r = -4 + 6. Suppose -48 = -4*a - 3*g, -4*a = -2*a + r*g - 26. What is the remainder when a is divided by -1 + (2 + -4 - -8)?
4
Let x be 5/(-5)*1*-2. Calculate the remainder when 9 - 1 - 0/x is divided by 3.
2
Let s(h) = -26*h - 1. Let k be s(-4). Suppose -r = -6 + 2, -3*f + k = r. Calculate the remainder when f is divided by 12.
9
Suppose 0 = -3*b - 2*k + 2, -b + 2*k - 6 = 4*k. Suppose -y = 2 + b. What is the remainder when 58 is divided by 2/y*0 - -20?
18
Let k be (3/2)/((-9)/12). Let u(j) = 8*j**2 + j - 2. What is the remainder when u(k) is divided by 10?
8
Suppose 4*a - 14 = 6. Calculate the remainder when 2 is divided by (-10)/15 - a/(-3).
0
What is the remainder when 21 is divided by (-3)/(-15)*5 + 12?
8
Let a(c) = -12*c - 3. What is the remainder when 64 is divided by a(-3)?
31
Let n = -60 - -91. Calculate the remainder when n is divided by 16.
15
Suppose 8*r - 352 = 4*r. What is the remainder when r is divided by 30?
28
Let k = 682 + 980. Let s be k/24 - 2/8. Suppose 3*f - 9 = s. What is the remainder when f is divided by 9?
8
Calculate the remainder when 18 is divided by 184/24 - (-4)/(-6).
4
Suppose -16 = -4*s - 2*z - 0, 5*z + 12 = 3*s. What is the remainder when -1 + -2 + 2 - -6 is divided by s?
1
Let x = 2 - 0. Suppose x*r + 59 = 4*v + 3*r, v - 17 = -r. What is the remainder when v is divided by 8?
6
Suppose -3*d + 9 = -102. What is the remainder when d is divided by 13?
11
Let q(c) = 6*c - 4. Let h be (0 - -1) + (-2)/(-1). What is the remainder when q(h) is divided by 5?
4
Suppose 4*j - 38 = 34. Let n = 4 - -6. What is the remainder when j is divided by n?
8
Let d(t) = 4*t**2 + t + 7. What is the remainder when d(-5) is divided by 21?
18
Suppose -3*t - 66 = -6*t. What is the remainder when t is divided by 6?
4
Let d = -26 + 41. What is the remainder when d is divided by 4?
3
Let n = -46 - -52. Calculate the remainder when 20 is divided by n.
2
Let l(d) = -d**3 + 5*d**2 + 2*d + 7. Let j be l(5). Suppose -3*o - z = 4*z - j, 1 = -o + 5*z. Let t = 5 + 5. Calculate the remainder when t is divided by o.
2
Suppose -36 = 4*w - 7*w. Calculate the remainder when 21 is divided by w.
9
Suppose 0 = -2*i + 4*r + 82, r + 0 = -5. Calculate the remainder when i is divided by 11.
9
Let h = 24 - 12. Calculate the remainder when 34 is divided by h.
10
Let z(c) = c**3 - 7*c**2 - 14*c + 5. Let v = -3 + 6. Suppose v + 6 = p. What is the remainder when z(p) is divided by 21?
20
Let p be (3 - 5)*(-2 - -1). Suppose -p = -j - j. Let o(u) = 21*u. Calculate the remainder when o(j) is divided by 11.
10
Let h(w) = -w**2 - 12*w - 6. Let z be (36/(-45))/((-4)/(-50)). What is the remainder when h(z) is divided by 4?
2
Suppose 3*x - 44 = -8*x. Calculate the remainder when 8 is divided by x.
0
What is the remainder when 79 is divided by 27*2/6*3?
25
Let j = -20 - -34. Let z(y) = -12*y + 4. Let m be (3/5)/((-1)/5). What is the remainder when z(m) is divided by j?
12
Suppose -160 = 50*c - 58*c. Let r(b) = -b + 2. What is the remainder when c is divided by r(-5)?
6
Let q(w) = 4*w**2 - w - 1. Let s be q(2). Let p = -2 - -1. What is the remainder when -1 + (p - -4)*s is divided by 20?
18
Let p(z) = -z + 4. Let k = -2 - 6. Calculate the remainder when -51*((-5)/3 - -1) is divided by p(k).
10
Let z = 0