+ 14). Let b = 17 - k. Calculate the remainder when 13 is divided by b.
1
Let p(c) be the third derivative of -c**6/60 + c**4/12 - c**3/6 + 2*c**2. What is the remainder when p(-3) is divided by 12?
11
Suppose -10*j + 11*j = 15. Calculate the remainder when 55 is divided by j.
10
Calculate the remainder when 21 is divided by ((-1 + 0)*-5)/((-1)/(-3)).
6
Suppose 0 = 4*a - 2*q - 106, -a = 4*q - 3 - 1. Calculate the remainder when 95 is divided by a.
23
Let p(d) = 20*d**2 - 4*d - 7. What is the remainder when p(-2) is divided by 21?
18
Let s = 0 - -1. What is the remainder when s is divided by 3 - ((-3)/3 + 3)?
0
Let y(u) = 2*u**2 + u - 2. Let l be y(-2). Suppose l*h - 1 - 7 = 0. Suppose 5*t - 28 = h*b, 2*b = -4*t + b + 25. Calculate the remainder when t is divided by 4.
2
Suppose -34 - 98 = -4*v. What is the remainder when 131 is divided by v?
32
Suppose 5*w - 45 = -j, -144 = -4*j - w - w. What is the remainder when 101 is divided by j?
31
Suppose -s + 45 = 3*n - 5*s, 4*s - 30 = -2*n. What is the remainder when 7/(-1 + (-15)/(-12)) is divided by n?
13
Let s(m) = 2*m - 3. Let o be s(3). Suppose o*b - 3*v - 23 = 85, 5*v - 66 = -b. What is the remainder when b is divided by 4/(-6) - 140/(-12)?
8
Suppose -5*n - 2*v = -0*n - 4, -5 = 2*n + 3*v. Suppose n*r - 5 = -1. Suppose -q = -r - 9. What is the remainder when q is divided by 6?
5
Suppose -3*j + 8 = -2*j. What is the remainder when ((-6)/3)/((12/44)/(-3)) is divided by j?
6
Let a(z) = 41*z**3 - 2*z**2 - z. Let o be a(-1). Let m = 74 + o. Let v = -13 - -24. What is the remainder when m is divided by v?
10
Suppose 3*n + n = q + 132, -5*n + 2*q = -165. What is the remainder when n is divided by 12?
9
Let i(v) = 13*v - 6. What is the remainder when i(2) is divided by 8?
4
Let v be 2/(-1) + (-2 - 0). Let d be v*(2 - 3) + 0. Suppose -d*n = -4*y + 28, 2*y - n = -6*n - 7. What is the remainder when 7 is divided by y?
3
Let b(a) = a**3 - 6*a**2 + 6*a - 17. Calculate the remainder when b(6) is divided by 7.
5
Suppose 6*y - 160 = y. Calculate the remainder when y is divided by 17.
15
Let m(y) = y**3 - 4*y**2 + y + 5. Let c(j) = -2*j**2 + 2*j + 6. Let n be c(-5). Let z = -28 - n. Calculate the remainder when z is divided by m(4).
8
Suppose 2*j = 0, -8*r = -3*r + 3*j - 15. Calculate the remainder when 8 is divided by r.
2
Let z(c) = -c**3 + 9*c**2 + 6. Let y(p) = 7*p**3 + p. Let w be y(1). What is the remainder when z(w) is divided by 18?
16
Calculate the remainder when -1*-62*(-4)/(-8) is divided by 8.
7
Suppose 6 = 3*i, -8*p + 16 = -4*p + 4*i. Suppose n = -36 - 39. What is the remainder when n/2*p/(-3) is divided by 14?
11
Calculate the remainder when 46 is divided by 120/25*(-10)/(-4).
10
Let h = 7 + -6. Let w be (h/3)/((-3)/27). Let s = w + 20. What is the remainder when s is divided by 9?
8
Let v(m) = -m + 11. Let p be v(8). Suppose p*i = q - i + 11, -q = -3*i + 6. Let g(h) = 15*h**3 + h**2. What is the remainder when g(1) is divided by q?
7
Suppose 32 = -2*t + 5*o - 10*o, 6 = -3*o. Suppose -4 = 6*a + 14. Calculate the remainder when 32 is divided by (t/a)/((-2)/(-6)).
10
What is the remainder when (-14 - 2)/(3*(-8)/36) is divided by 12?
0
Suppose 2*p + 3*q = 22, 17 - 5 = 2*p - 2*q. Calculate the remainder when 15 is divided by p.
7
Suppose g + g - 32 = 0. Suppose -2*s + 10 = -0*s + 4*f, -s + 1 = f. Let a = 9 + s. Calculate the remainder when g is divided by a.
4
Let y = -20 + 4. Calculate the remainder when (-3)/4 - 476/y is divided by 10.
9
Suppose 0 = 5*s - 5*d - 185, 0*d - 2*d + 124 = 4*s. Calculate the remainder when s is divided by 6.
3
Suppose -5*q - 3*l = -0*q - 38, 2*l = -5*q + 42. Calculate the remainder when (4 - 3) + -1 + 29 is divided by q.
9
Suppose -4*k + 2 = -6. Suppose 5*q = 5*v + 235, -4*q = -k*v - v - 193. What is the remainder when q is divided by 18?
16
Suppose -3*i + 17 = 2. Suppose i*m = m + 28. Suppose 2*o - 8 = -z, 4*o - 20 = -o - 2*z. What is the remainder when m is divided by o?
3
Suppose -5 = -z - 5*d - 1, 3*d - 6 = -z. What is the remainder when 44 is divided by z?
8
Suppose -4*k = -2*k - 40. What is the remainder when 0 + 54 - (-1 + -3) is divided by k?
18
Let i(f) = f**3 - 7*f**2 + 8*f - 3. Let l = -1 - -4. Calculate the remainder when i(6) is divided by (-3)/2*(-10)/l.
4
Suppose -3 = 4*a - 15. Suppose r = -2*b - 2*r + 46, 0 = a*b + 5*r - 70. Calculate the remainder when b is divided by 7.
6
What is the remainder when (-3 - 90)/(1/(-1)) is divided by 24?
21
Suppose 7*d - 2*d - 16 = -p, -132 = -5*p + d. What is the remainder when 102 is divided by p?
24
Suppose g + 50 = 6*g. Let a(v) = 6*v**2 - 3*v - 2. Suppose -5*l - 22 = t, l + 14 = 3*t - 4*l. Calculate the remainder when a(t) is divided by g.
8
Calculate the remainder when 0 + 0 - 39/(-3) is divided by 2.
1
Let v(d) = 35*d + 6. Calculate the remainder when v(2) is divided by 20.
16
Suppose -2 = -r + 5*m + 8, 0 = r - m - 10. Let j = 0 - 1. Let l = j + 20. What is the remainder when l is divided by r?
9
Let x = 35 - 63. Let q = -13 - x. Calculate the remainder when 29 is divided by q.
14
Let h = -1 + -1. Let m = 1 + h. Let o(i) = 6*i**2 - i - 1. Calculate the remainder when 11 is divided by o(m).
5
Let o(d) = -3*d**3 - 4*d**2 + 6. Calculate the remainder when o(-3) is divided by 13.
12
Suppose -739 = -3*v + 164. Suppose 3*n + m - v = 0, -5*m = 3*n - m - 304. Suppose 5*d - n = d. What is the remainder when d is divided by 13?
12
Suppose 0*f + f = -3*i + 12, -20 = -i + 5*f. Suppose 16 = i*x - 5*r + 1, -5*r = -10. What is the remainder when 9 is divided by x?
4
Suppose -f + 6 = -2. Suppose -x = -5*u + 2*x - 6, -3*u - 4*x + f = 0. Suppose u = 2*r - 6*r + 56. Calculate the remainder when 27 is divided by r.
13
Let s be 4/(8/4 + 0). Suppose 18 = -f + s*f. Calculate the remainder when 33 is divided by f.
15
Suppose -a - 5*h - 6 = 0, -a = 2*h - 0*h. Let k(n) = n**3 - 3*n**2. Calculate the remainder when 63 is divided by k(a).
15
Let f = 465 - 451. What is the remainder when 39/(-1 + 0 - -2) is divided by f?
11
Let s(c) = -c**3 + 2*c**2 + c - 5. Calculate the remainder when s(-5) is divided by 42.
39
Let v be -4 + (-8)/(-2) + -22. Let x = v + 25. Calculate the remainder when 4 is divided by x.
1
Let y(q) = 4*q**2 - 2*q + 3. Let r be y(2). Suppose 0*p = -j - 4*p + r, -3*p - 41 = -2*j. Calculate the remainder when 56 is divided by j.
18
Let z(x) be the second derivative of 3*x**3/2 + 2*x**2 + x. What is the remainder when z(3) is divided by 0 + 0 + -2 - -13?
9
Suppose -3*k = 7 + 5. Let c(z) = 2*z**2 + 6*z + 1. What is the remainder when 35 is divided by c(k)?
8
Let m(p) = -p**3 + p + 9. What is the remainder when 25 is divided by m(0)?
7
Let y(z) = 8*z - 2. Let v = 397 + -248. Calculate the remainder when v is divided by y(5).
35
Suppose 126 = 5*s - 2*b, -s + 25 + 5 = -2*b. Let h(m) = -5*m - 4. Calculate the remainder when h(-4) is divided by ((-18)/8)/((-6)/s).
7
Suppose -t = 3*t - 236. Suppose 4*u - k - 64 = -2*k, 3*k + 63 = 5*u. Calculate the remainder when t is divided by u.
14
Suppose f - 6 = 4. Calculate the remainder when 27 is divided by f.
7
Let j(b) = b**3 + 2*b**2 - 1. Let c be j(1). Suppose c*u + 0*v + 6 = 5*v, 16 = 5*u + 3*v. What is the remainder when 5 is divided by u?
1
What is the remainder when 30 is divided by 2*((-28)/(-8) + 1)?
3
Let k(d) be the first derivative of d**2 - 5*d + 8. Let a(w) = -w. Let r be a(-6). Calculate the remainder when 12 is divided by k(r).
5
Suppose z = t - 2, 4*t + 2*z + 19 = 3. Let k = 10 - t. What is the remainder when 21 is divided by k?
9
Let j = 42 - 22. What is the remainder when 59 is divided by j?
19
Let c(h) = 5*h + 1. What is the remainder when 61 is divided by c(3)?
13
Suppose 2*l + 2*l - 16 = 0. What is the remainder when 9 is divided by l?
1
Let y(i) = i**2 - 6*i - 6. Calculate the remainder when y(-4) is divided by 10/4 - (4 - 54/4).
10
Let p(q) = 15*q**2 - q - 2. Calculate the remainder when p(2) is divided by 15.
11
Suppose c - 10 = -1. Let f(j) = -j**2 - j + 32. Let v be f(0). Suppose 2*d - 20 = v. What is the remainder when d is divided by c?
8
Suppose -25*q = -15*q - 610. What is the remainder when q is divided by 11?
6
Suppose 2*n = 4 + 6. Let j(l) = l**3 + 0*l**3 + 1 - 3*l - 2*l - n*l**2. Calculate the remainder when j(6) is divided by 3.
1
Suppose -88 - 8 = -3*f. Ca