 + 4*q = 33. Calculate the remainder when q is divided by p.
9
Suppose 0 = -3*l - 4*g + 1, 28 - 6 = 4*l - 5*g. Suppose l*x - 4 = 38. Calculate the remainder when (-7 - -1)/(-3) + 25 is divided by x.
13
Suppose 2*b - 63 = -t, -5*b + 3*b = 5*t - 59. Let n(g) = -17*g - 10. What is the remainder when n(-8) is divided by b?
30
Let z(x) = x**2 + 16*x - 22. Calculate the remainder when z(-21) is divided by 21.
20
Let v = 9 + -7. Let c be ((-1)/v)/((-5)/20). Suppose 92 = 2*h + c*z, -z = -5*h + 165 + 77. Calculate the remainder when h is divided by 17.
14
Let o(l) = l**2 + l + 2. Let c be o(-2). Suppose 2*p + n - 102 = -p, -c*n - 152 = -4*p. What is the remainder when p is divided by 12?
11
Let r(b) = -b**2 + 7*b + 8. Suppose -f - s - 6 = 0, 7*s + 19 = -4*f + 4*s. Calculate the remainder when (-5 + 14)/(f/(-3)) is divided by r(6).
13
Suppose 0 = -5*p + 2*p. Calculate the remainder when ((-2)/(-4)*4)/1 is divided by 2*(1 - p/1).
0
Suppose 4*o - 491 + 131 = 0. What is the remainder when o is divided by 31?
28
Let c(k) = -k - 9. Let s be c(-11). Let b(z) = 22*z + 2. Calculate the remainder when b(s) is divided by 12.
10
Suppose -f + 62 = -5*z, 5*z = 2*f + 4*z - 106. What is the remainder when f is divided by (-2)/6 - 55/(-3)?
16
Suppose -124 = -y - 3*t - 2*t, 0 = -2*y - 2*t + 208. What is the remainder when y is divided by 20?
19
Let z = 45 + -2. Calculate the remainder when z is divided by 22.
21
Let p(m) = m**2 + 4*m - 5. Let n(d) = d**3 + 5*d**2 + 3*d + 4. Let j be n(-5). Let z = j - -5. Calculate the remainder when 13 is divided by p(z).
6
Suppose -4*i + 3*i = 4*q + 3, 4*i + 5*q - 21 = 0. Suppose o - 3*o + 52 = 0. What is the remainder when o is divided by i?
8
Let n be ((-7)/4)/((-1)/(-4)). Let d = n - -8. What is the remainder when (4/6)/((-4)/(-6)) is divided by d?
0
Suppose -2*u + 5*o + 23 = 0, -5*u + 66 = 2*o - 6*o. What is the remainder when 53 is divided by u?
11
Let d = -36 + 62. What is the remainder when 77 is divided by d?
25
Suppose -q - 2*q + 129 = 0. Calculate the remainder when q is divided by 22.
21
Suppose -w - w + 8 = 0. Suppose -w*i - 3*q = -44, -4*q = q. Calculate the remainder when 31 is divided by i.
9
Let b = -61 - -112. Calculate the remainder when 2/8 - b/(-4) is divided by 8.
5
Let b(a) = 5 - 6*a**2 + 0*a**3 + 0*a**3 + a**3. Let s be b(6). Suppose -s*z = -z - 5*v - 66, 3*z - 2*v = 46. What is the remainder when z is divided by 8?
6
Let c be 6*3*(-2)/(-12). What is the remainder when 47*(c - 4)/(-1) is divided by 24?
23
Suppose -7*d + 86 = -320. Calculate the remainder when d is divided by 15.
13
Suppose -16 = 3*v + 5*o, 2*v - o + 2*o = 1. Suppose -x - x - 4 = 0, -2*d + 6 = 2*x. Calculate the remainder when d is divided by v.
2
Let u be (4 + -3 - 2) + -16. Let j = -8 - u. Calculate the remainder when 25 is divided by j.
7
Let a be (315/(-12))/(-5)*4. Let b = a - -2. Suppose b = 3*f - 2*f. Calculate the remainder when f is divided by 12.
11
Suppose 5*r + h - 2*h = 54, r = -5*h + 16. Calculate the remainder when 28 is divided by r.
6
Let y(i) = -6*i + 11. Let b = -8 + 23. Calculate the remainder when y(-8) is divided by b.
14
Suppose -3*u = -2*c + 151 - 53, -2*c = u + 46. What is the remainder when 33 is divided by 15/(-6)*u/10?
6
Let t = 3 + 4. Let h(r) = -r**2 + 7*r - 4. Let x be h(t). Calculate the remainder when (-125)/x + 3/4 is divided by 17.
15
Let y = 0 + 3. Calculate the remainder when (-55 + 0/y)*-1 is divided by 19.
17
Calculate the remainder when 22 is divided by (11 + -7)/(2/3).
4
Suppose -3*q = -11*q + 112. What is the remainder when 38 is divided by q?
10
Suppose -3*k = -4*o + 287, -3*k + 75 = o - 7*k. Calculate the remainder when o is divided by 31.
9
Let u(k) = k**3 + 8*k**2 + 7*k + 1. Let b(p) = -p**2 + 5*p + 1. Suppose 6*l - 25 = l. Calculate the remainder when b(l) is divided by u(-7).
0
Let q(a) = 20*a**2 + 2. What is the remainder when q(-2) is divided by 17?
14
Let q(t) = -21*t**3 - t**2 + 1. Let r be q(-1). Suppose -3*g + r = -f, 3*g = -3*f - f + 21. What is the remainder when 12 is divided by g?
5
Calculate the remainder when 50 is divided by 4 + (4 - 7) + 12.
11
Suppose -2*t + s = 2*s - 54, 0 = 3*t - s - 91. Calculate the remainder when t is divided by (0 - (-10)/3)*3.
9
What is the remainder when 67 is divided by -1*(-7 + 5)*10?
7
Suppose 5*w - 3*j = 109 + 46, -3*w + 3*j + 93 = 0. Calculate the remainder when 119 is divided by w.
26
Suppose 3*u - 7*u + 840 = 0. Let n be ((-12)/9)/((-2)/3). Suppose 4*g + 264 = 4*s, g = -3*s - n*g + u. What is the remainder when s is divided by 23?
22
Suppose 10 = -5*j, -5*j = -h + 12 - 0. Calculate the remainder when 1/3*h*36 is divided by 13.
11
Let x(r) = r**2 + 5*r + 5. Let f be x(-5). Suppose 0*h = f*h. Suppose -2*i + 73 = 5*n, -3*n = 5*i - h*n - 154. What is the remainder when i is divided by 10?
9
Let c be 4*(-2 + 2/4). Let d = 3 - c. Suppose -16 = -2*l - 2*o, -3*l + 3*o + 5 + 1 = 0. Calculate the remainder when d is divided by l.
4
Suppose -t - 5*k + 43 = -9*k, -5*t - 5*k + 90 = 0. What is the remainder when t is divided by 0/(-2 + 1) + 6?
5
Suppose 45 - 3 = 2*x. What is the remainder when x is divided by 6?
3
Suppose 5*k = 74 + 1. Calculate the remainder when 0 + (-16)/4 - -31 is divided by k.
12
Let p = -10 - -16. What is the remainder when 17 is divided by p - 0*(-1)/3?
5
Let p = 30 + -9. Suppose 0 = 2*y - 57 + p. What is the remainder when y is divided by 7?
4
Let r = 31 - 24. Calculate the remainder when 11 is divided by r.
4
Let d(z) = z**3 - z**2 - z + 14. Let v be d(0). Suppose -3*o + 2 = r - 62, 0 = -5*o - 2*r + 108. Let k = o - v. What is the remainder when 9 is divided by k?
3
Let t = -21 + 40. Let n = 29 - t. What is the remainder when n is divided by 4?
2
Let a be 1/(-2)*(-1 + 1). Let j be (-1 + -1)/(-2)*a. Suppose -2*b + 5*c = -29, -b - 3*c + 5 - 18 = j. What is the remainder when 5 is divided by b?
1
Suppose i = -2, 113 = -0*w + w - 2*i. Let k be (2/(-3))/((-2)/15). Suppose -k*z - 4 = -w. Calculate the remainder when z is divided by 12.
9
What is the remainder when 3 is divided by 2*1 + (14 - 15)?
0
Suppose 87 - 83 = 4*n. What is the remainder when 1 is divided by n?
0
Let h(t) = t + 1 + 1 + 0*t. Calculate the remainder when h(5) is divided by -2 - 5*(-1 - 0).
1
Let c(p) = 4*p + 119. What is the remainder when c(-23) is divided by (-2 + -1)/((-9)/42)?
13
Suppose 182 = 5*q - 7*t + 3*t, t = -3. What is the remainder when q is divided by 12?
10
Suppose -61 + 16 = -5*r. Calculate the remainder when 16 is divided by r.
7
Let i = 32 + -28. Calculate the remainder when 26 is divided by i.
2
Suppose -t + 2*t = -7. Let h = t - -7. Let g = h + 5. What is the remainder when g is divided by 3?
2
Suppose r + 16 = 4*s - 143, 3*r = 4*s - 157. Calculate the remainder when s is divided by 14.
12
Suppose r - 5*r = -16, 0 = -5*i - 2*r + 73. Suppose -g + 2*k - 4*k - 23 = 0, -4*k = 8. Calculate the remainder when (g*4)/(-3 - -1) is divided by i.
12
Calculate the remainder when 162 is divided by (-216)/(-20) - (2 + 11/(-5)).
8
Suppose 3*z - 5*q = 75, -3*z - 3*q + 7*q = -72. Calculate the remainder when 99 is divided by z.
19
Let i(r) = -r**3 - 4*r**2 + 3*r. Let h be i(-4). Let l = -2 - h. Suppose 4*c = -2*z + 40, -z + 2 = -2*c - 14. Calculate the remainder when z is divided by l.
8
Suppose 0 = -0*m + 2*m - 10. What is the remainder when 4 - 54/(0 + -6) is divided by m?
3
Let b be (4/6)/((-2)/(-12)). Calculate the remainder when 14 is divided by b/(-5)*(-10)/1.
6
Suppose -5*t - 42 = -277. What is the remainder when t is divided by 10?
7
Suppose 2 = 3*y - 4. Suppose -4*d = -0*k + k - 3, -5*d + 8 = -3*k. Calculate the remainder when y is divided by d.
0
Suppose -4*z + 15 = z. Let q be (2 - 0)*-1 - -6. Suppose 0 = -k + q*j, -30 = -4*k - 0*k + j. Calculate the remainder when k is divided by z.
2
Suppose 3*f - 12 = 0, -4*p + 5*f + 5 = p. What is the remainder when 27 is divided by p?
2
Suppose p = -5*y, 2*y = -3*p - 0*y + 52. Calculate the remainder when 97 is divided by p.
17
Suppose 18*r + 7*r = 250. Suppose m + u - 20 = 0, 4*m - 5*u - 29 - 42 = 0. What is the remainder when m is divided by r?
9
Let l = 20 + -16. Suppose -n - 6 = -l*n. Calculate the remainder when (-2)/4 - (-10)/4 is divided by n.
0
Let a(q) be the first derivative of 2*q - 1 - 7/2*q**2. Calculate the 