3*p - k = -11, 2*p - 2*k = -p + 5. Calculate the remainder when v is divided by p.
1
Suppose -2*j + 116 = 2*o, o + 3*j + 32 = 98. Calculate the remainder when o is divided by 11.
10
Suppose 10 = w - 0. Suppose -o + w = -4. Suppose 90 + o = 4*m. What is the remainder when m is divided by 14?
12
What is the remainder when 83 is divided by (84/(-15))/((-28)/(-10) - 3)?
27
Let v(n) = 15*n + 4. Let q be v(4). Suppose 7*d = 3*d - 4*o + q, -2*o + 54 = 4*d. What is the remainder when 32 is divided by d?
10
Let w = 26 + -16. Suppose -5*s = -9*s + 152. What is the remainder when s is divided by w?
8
Suppose 3*q = q - 2, -2*q = -5*m + 77. Suppose 3*v = 8*v + 2*z - 48, -4*v + z = -28. Calculate the remainder when m is divided by v.
7
Let m = -25 + 46. Calculate the remainder when m is divided by 6.
3
Suppose 3*f = -4*u - 56 + 175, 20 = 4*f. Let k be (-2)/(2/(-25)) - -2. Suppose q + 2*q = k. What is the remainder when u is divided by q?
8
Let j = 14 + -8. Let d = j + -2. What is the remainder when 13 is divided by d?
1
What is the remainder when 89 is divided by ((-15)/(-2))/((-1)/8*-2)?
29
Let w = -2 + 3. Suppose 16 = k + 3*j, 2*j = 2*k - 0*j. Suppose k*h - 5 = -h. What is the remainder when w is divided by h?
0
Let u(o) = -7*o - 12. Calculate the remainder when 87 is divided by u(-3).
6
Let h = -32 + 39. Calculate the remainder when 19 is divided by h.
5
Let a = 8 - 26. What is the remainder when 12 is divided by 4/((-3)/a*3)?
4
Let m be (-5)/(-2)*58/5. Let q = m - 11. Calculate the remainder when 33 is divided by q.
15
Let o = 20 - 9. Calculate the remainder when (7 + 132/(-28))*14 is divided by o.
10
Let s be 1 + (-129)/6*-2. Let z be (-12)/(-10)*(-1 + -24). Let f = z + s. What is the remainder when 27 is divided by f?
13
Suppose 103 = 4*y - 5*f, 0 = 5*y - 3*f + 17 - 149. Let c = y + -3. What is the remainder when 47 is divided by c?
23
Let g = -3 - -6. Suppose -v + 256 = g*v. Calculate the remainder when v is divided by 22.
20
Suppose -5*v + 56 = -14. Let t(k) = k. Let h be t(2). Suppose -b - j = -5*b + 28, 4*j - v = -h*b. What is the remainder when 13 is divided by b?
6
Let t(c) = c**3 - 4*c**2 - 9*c - 10. What is the remainder when 27 is divided by t(6)?
3
What is the remainder when (-4 + 9)*(-26)/(-10) is divided by 4?
1
Let w = -49 + 99. Let j = w - 36. What is the remainder when j is divided by 4?
2
Suppose l + 90 = 4*l. Let v(d) = -d**3 + 5*d**2 + 7*d + 5. What is the remainder when l is divided by v(6)?
8
Let o be (-1 + 4)/(3/(-4)). Let p be (-119)/(-28) - (-1)/o. Suppose 2*w + 120 = p*l, 0 = -4*l + w - 0*w + 122. What is the remainder when l is divided by 11?
9
Let g(p) = -p**3 + 6*p**2 - 2*p - 10. Calculate the remainder when 11 is divided by g(5).
1
Calculate the remainder when (-60)/(-1) + -5 + 6 is divided by 32.
29
Let x(f) = -f**2 + f + 4. Let a be x(0). Calculate the remainder when -4 + 2 + 11 + 32 is divided by (9 - 2)*a/2.
13
Suppose -u + 4*w + 63 = 0, -2*w - 15 = 3*w. Suppose p - u = -2*p. What is the remainder when 67 is divided by p?
16
Suppose -3*z + 5*b + 58 = 0, -3*z + 47 = -b + 9. Suppose 2*m = m + z. What is the remainder when 43 is divided by m?
10
Suppose -2*f - 4*l - l + 19 = 0, -f + 14 = 4*l. Suppose 3*d - 2*x - 33 = 0, 2*d + 5*x - 5 = -f. What is the remainder when 16 is divided by d?
7
Let u be 2/10 - 272/(-40). Let h be (-1)/u + 78/7. Let i = 19 - h. Calculate the remainder when 30 is divided by i.
6
Let t(v) = v**3 + 9*v**2 - 12*v - 14. Suppose -3*j - 18 = s + j, -2*s - 5*j = 30. Suppose -40 = -3*i - i. What is the remainder when i is divided by t(s)?
4
What is the remainder when 0/(-3) + 0 + 138 is divided by 28?
26
Suppose 0 = -5*f + 4*f + 2. Let m(i) = 2*i + 1. Let k be m(2). Suppose 3*o - 3*n + n = 11, 4*n = -k*o + 55. What is the remainder when o is divided by f?
1
Let y(g) = 8*g**3 + 5*g**2 - 2*g + 6. Let t(r) = r**3 + r**2 + 1. Let h(a) = 6*t(a) - y(a). Calculate the remainder when h(-3) is divided by 15.
12
Suppose -3*y + 12 = -y. Suppose y - 26 = -4*q. What is the remainder when q is divided by 2?
1
Let d = -20 + 27. Let q(r) = -11*r**3 + r**2 + r. Let k be q(-1). Let c = -7 + k. What is the remainder when d is divided by c?
3
Suppose 4*g - g - 27 = 0. Suppose 2*c = -3*c. Suppose -5*r = 10, 5*p = -c*r + 5*r + 30. Calculate the remainder when g is divided by p.
1
Let r = 18 + 0. Suppose 0 = 4*i + 2*m + 3*m - 33, 0 = -i + m - 3. Suppose p - r = -i*p. What is the remainder when 17 is divided by p?
5
Suppose 37*t - 70 = 35*t. Calculate the remainder when t is divided by (-1 - 0)*1*-9.
8
Let u be (-1)/(-1 + (-12)/(-15)). Suppose 4*f + 152 = u*p, -3*f = -p - 0*f + 37. What is the remainder when p is divided by 10?
8
Let r(d) = 14*d - 5. What is the remainder when r(5) is divided by 22?
21
Let f be 1/(-2) - 98/4. Let x = 44 + f. Let d(s) = -s**3 - 7*s**2 + 6*s - 6. Calculate the remainder when x is divided by d(-8).
9
What is the remainder when ((-32)/(-16))/(2/32) is divided by 11?
10
Let z be (-3 - 27/3)/(-2). Suppose -10*l = -z*l - 224. What is the remainder when l is divided by 19?
18
Let a(s) be the second derivative of -s**5/20 - s**4/3 - s**3/3 + 4*s**2 - 2*s. Let x be a(-7). Let i = -120 + x. What is the remainder when i is divided by 13?
10
Suppose -3*m = d - 0*d - 15, -3*m = -3*d - 15. Suppose d = 3*f - 2 - 10. Suppose f*c - 179 = 5. What is the remainder when c is divided by 16?
14
Suppose -3*m - 2*m = -40. Let b(t) = t - 5. Let h be b(m). Suppose 5*n = -4*p + 21, h*p + 5*n - 9 = 2*p. What is the remainder when 11 is divided by p?
3
Let c(d) = -10*d - 2. Calculate the remainder when 53 is divided by c(-2).
17
Let t(n) = -n**2 + 8*n - 8. Let o be t(6). Suppose 0 = -o*s, -3 = z - 4*s - 17. What is the remainder when 40 is divided by z?
12
Suppose -3*n + 65 = 2*r + 2*r, 2*r - 3*n - 55 = 0. What is the remainder when 119 is divided by r?
19
Suppose 0 = -w + 12. Suppose -3*f = -2*v + 388, 171 = 5*f + 2*v + 839. What is the remainder when (4/(-3))/(8/f) is divided by w?
10
Let b be 1*5 + -1*2. Let g be 2*6*(-1 - 5/(-10)). Calculate the remainder when 12 + (g + b)/3 is divided by 4.
3
Let u = 27 + -15. Suppose -m - 78 = -2*x - 9, 3*x + 2*m - 100 = 0. What is the remainder when x is divided by u?
10
Let p(a) = 2*a - 3. Let i be p(4). Suppose -v + 52 = -8*l + i*l, -4*l = 3*v - 208. Calculate the remainder when v is divided by 22.
20
Let i be -1 + -3 + 5 + 73. Suppose w = -3*y + 41, 7*y - 2*y = 4*w + i. Calculate the remainder when y is divided by 5.
4
Calculate the remainder when 51/12 - 1/4 is divided by 2.
0
Suppose 0 = 3*r - 2*t - 40, 7 = -5*r + 2*t + 75. What is the remainder when 41 is divided by r?
13
Suppose -3*x + 8*b + 2 = 3*b, 0 = -2*x - 5*b + 18. What is the remainder when 13 is divided by x?
1
Suppose 0 = -k - 0*k. Suppose z - 8 - 16 = k. Calculate the remainder when z is divided by 9.
6
Let w = 16 - 2. Let z be 1*(1 + 1 + 122). Suppose -3*q + z = 1. Calculate the remainder when q is divided by w.
13
Let f(o) = 3*o + 11. Calculate the remainder when f(29) is divided by 11.
10
Let h(g) = g**3 + g**2 + 6. Let r be h(0). Suppose r = -2*d + 22. What is the remainder when 15 is divided by d?
7
Suppose 4*u - 4*y - 76 - 100 = 0, 138 = 3*u - y. Calculate the remainder when u is divided by 16.
15
Let d = 86 - 50. Suppose 34 = a - 5*x, -4*a - 3*x = 2*x - d. What is the remainder when (-210)/(-8) - 1/4 is divided by a?
12
Let z(u) = -u**3 - 7*u**2 - 9*u - 6. What is the remainder when 21 is divided by z(-6)?
9
Let a = 24 - -6. Let z be (-2)/3*(2 - 5). Suppose -8 = -3*l + z*l. What is the remainder when a is divided by l?
6
Suppose -t - 3*t + 52 = 0. Let x be 2 - (-2)/(2 + -4). What is the remainder when (-37 - 0)/(0 - x) is divided by t?
11
What is the remainder when 2*(-4)/16*-118 is divided by 13?
7
Let l(m) = -m**2 + 17*m - 9. What is the remainder when l(13) is divided by 15?
13
Suppose -39 + 4 = -5*r. Suppose -15 = -4*v - v. Suppose 2*l - 125 = -v*l. Calculate the remainder when l is divided by r.
4
Suppose 2*w + 0*w = 4. Suppose 5 = x, 2*d - 5*x + 1 + 14 = 0. What is the remainder when d is divided by w?
1
Let j(f) = -f**3 + f**2 + f + 14. Let g be j(0). Let x = g - -4. What is the remainder when x is divided by (3/(-12))/(5/(-100))?
3
Suppose 2*p = 3*p - 16. Suppose 0 = -5*k + 4*i + 10, 7*k - 3*i = 2*k