remainder when 47 is divided by v.
15
Suppose 5*o + 3*v - 60 = 0, -24 = -2*o - 4*v - v. Let t be 2/(-8) + 39/o. What is the remainder when 9 is divided by (0 - t/3)*-5?
4
Suppose 2*m - 109 = -2*k + m, 12 = -4*m. Suppose 0 = -2*h + k - 10. Suppose 3*o - 10 = h. Calculate the remainder when 20 is divided by o.
9
Suppose -3*l + 32 + 16 = 0. Let b(a) = 2*a**3 - 5*a**2 + 2*a + 4. Let s be b(4). Suppose -11*j + 13*j = s. What is the remainder when j is divided by l?
14
Suppose 3*g + 4*p - 96 = -15, -3*p + 81 = 3*g. Calculate the remainder when 50 is divided by g.
23
Suppose -51 = -21*r + 18*r. Suppose 59 = -3*j - 4*i - 144, -321 = 5*j - 2*i. Let l = 97 + j. Calculate the remainder when l is divided by r.
15
Let n(r) = -110*r**3 + r**2 + 3*r + 1. What is the remainder when n(-1) is divided by 30?
19
Let t be (-1)/6 + 91/6. Suppose 0 = 5*z + 5 - t. What is the remainder when 7 is divided by z?
1
What is the remainder when (2/3)/(12/1350) is divided by 19?
18
Let f(h) be the third derivative of h**5/60 - h**4/6 - h**3/3 + 2*h**2. Let y be f(4). Calculate the remainder when y/4 + (-87)/(-6) is divided by 8.
6
Let d(g) = -2*g**3 - 1 + 3*g + 0*g - g**2 - 2*g. Let u be d(1). What is the remainder when 33 is divided by ((-2)/u)/(4/102)?
16
Let c(j) = j**3 + 3*j**2 - 2*j - 2. Let g(w) = w**2 - 2*w + 2. Let d be g(2). Suppose -h + 0*h + d = 0. Calculate the remainder when c(h) is divided by 8.
6
Let k(x) = 3*x**2 - 6*x - 9. Calculate the remainder when 29 is divided by k(4).
14
Suppose 169 = 5*w - 6*t + 3*t, t = 4*w - 138. What is the remainder when w is divided by 18?
17
Let s(a) = -8*a - 5. Calculate the remainder when 51 is divided by s(-4).
24
Suppose 2*s + 3 = -c, -2*c = 3*s - 0 + 2. Suppose 0 = -0*w - w. Suppose w*u = -2*u + 6. Calculate the remainder when c is divided by u.
2
Let r = -7 + 21. Calculate the remainder when 26 is divided by r.
12
Suppose 6*y = -3*y + 108. Suppose -2*b - 2*z = -38, -4*z - z - 59 = -2*b. Calculate the remainder when b is divided by y.
10
Let i(b) = 2*b**2 + b - 2. Let l be i(-2). Suppose -q + w - 3*w = -18, -l = 4*w. What is the remainder when 39 is divided by q/(-3)*12/(-8)?
9
Let k(d) = d**2 - 6*d - 1. What is the remainder when k(8) is divided by 9?
6
Suppose b = 6*b - 65. Calculate the remainder when 49 is divided by b.
10
Let m(s) = s**2 - s + 4. What is the remainder when 19 is divided by m(3)?
9
Suppose -4*g - 9 = -1. Let k(l) = 5*l + 16. Calculate the remainder when 53/5 - g/5 is divided by k(-2).
5
Let u(o) = 53*o + 1. What is the remainder when u(1) is divided by 14?
12
Let t(h) = -4*h. Let v be t(-5). Let x = 102 - v. Suppose -b - b = -x. Calculate the remainder when b is divided by 14.
13
Suppose 444 - 154 = 5*u. What is the remainder when u is divided by 15?
13
Suppose g - 2*g + 6 = 0. Let b = 2 + 1. Calculate the remainder when (-2)/(b/g - 1) is divided by 3.
1
What is the remainder when 34 is divided by (42/(-9))/(-7)*18?
10
What is the remainder when (-12)/(-3) + 145 + -2 is divided by 10?
7
Let w(v) = -v**3 - 10*v**2 - 10*v - 11. Let b be w(-9). Let n = b + 14. What is the remainder when 34 is divided by n?
10
Suppose -4*r = -11 - 9. Suppose 0 = -5*c - r*l + 145, 0 = 4*c - l + 4*l - 118. What is the remainder when c is divided by 11?
9
Suppose 0 = 5*u + 9 - 49. Suppose 0 = y - 4*z + 10, -2*z + 1 = 3*y - 11. Suppose -b + 15 = y*b. What is the remainder when u is divided by b?
3
Let h(s) = -s**3 + 8*s**2 - 8*s - 4. Let m = 16 - 10. Suppose 4*l - 3*l = m. Calculate the remainder when 39 is divided by h(l).
19
Suppose 4*f + w - 75 = 155, 3*w - 6 = 0. Let t = f - 32. Let d = t - 13. Calculate the remainder when d is divided by 7.
5
Suppose 0 = -6*n + n + 2*h + 154, -5*h = -n + 40. What is the remainder when n is divided by (-2)/4 - (-46)/4?
8
Let l(n) = -2*n + 4. Let s be l(-4). Suppose 0*q + 3*q - s = 0. Suppose -q*p - 5 + 21 = 0. What is the remainder when 7 is divided by p?
3
Let b = 183 - 50. Let l = b + -57. Calculate the remainder when l is divided by 20.
16
Suppose -n - 223 = -5*l, 0 = 13*l - 12*l + 2*n - 49. Calculate the remainder when 178 is divided by l.
43
Let m(v) = -v**2 + 16*v + 30. What is the remainder when m(14) is divided by 10?
8
Let m be 4/((-2)/(-2) + -2). What is the remainder when (0 - -2)*(-10)/m is divided by ((-3)/2)/((-3)/4)?
1
Calculate the remainder when (7/2 - 3)/(4/104) is divided by 5.
3
Suppose -3*o + 111 = -q, -5*o + 185 = -8*q + 3*q. Suppose -4*d + 55 = 3. Calculate the remainder when o is divided by d.
11
Suppose -y + 3*y + 101 = -5*v, y = -5*v - 98. Let h = 15 - v. Calculate the remainder when h is divided by 18.
16
Let t(h) = h**2 + 8*h + 5. Let a be t(-10). What is the remainder when (-270)/a*(-10)/3 is divided by 13?
10
Let o = -124 + 210. Suppose 5*d = m + 241, -d + m + 29 = -4*m. Let g = o - d. Calculate the remainder when g is divided by 19.
18
Let q(x) = 7*x + 51. Calculate the remainder when 7 is divided by q(-7).
1
Let g be (3/(-9) - 0)*-3. Let o(n) = 205*n. Let r be o(g). Suppose 5*f = -4*b + r, 3*f = 2*b + 123 - 0. What is the remainder when f is divided by 14?
13
Let k(c) = -c**3 + 8*c**2 + 7*c - 13. What is the remainder when k(8) is divided by 15?
13
Suppose -178 = -6*x + 524. Calculate the remainder when x is divided by 15.
12
Let i(g) = g + 11. What is the remainder when 75 is divided by i(15)?
23
Let a(l) = 7*l - 3. Calculate the remainder when 1 - 4 - 57/(-2)*2 is divided by a(2).
10
Let v = 1 - -14. Let r = -1 + v. Suppose 2*o - o - 2*y - 35 = 0, 5*o - 190 = 5*y. What is the remainder when o is divided by r?
13
Suppose 2*n + w - 9 = 0, 4*n - 4*w - 27 = -9*w. Suppose -n*j - 4*f - 3 = -20, 3*j = 3*f + 45. What is the remainder when (3/2)/(2/28) is divided by j?
10
Let f(z) = z**3 + 5*z**2 + 3*z - 1. Let b be f(-3). Let g be b + -2 - (4 - 2). Suppose -g*t + 29 = -3. What is the remainder when t is divided by 5?
3
Let n = 32 - 21. Calculate the remainder when 32 is divided by n.
10
Let r(j) = -9*j. Let o be r(-3). Suppose -6 = -2*k - 2. Calculate the remainder when 4 is divided by k/9 - (-75)/o.
1
Suppose -3*v - w + 260 = 0, -3*w + 102 = 2*v - 83. Let p = 138 - v. What is the remainder when p is divided by 14?
11
Suppose p + 29 + 14 = 4*x, 5*x = 5*p + 50. Let b(o) be the second derivative of o**3/2 - 7*o**2 + 6*o. Calculate the remainder when x is divided by b(6).
3
Let z(r) = -14*r - 23. What is the remainder when z(-6) is divided by 31?
30
Let a be (-3)/2*(4 + -6). Suppose -5*j = -a*o + 33, -4*o + 2*j = -24 - 6. Let f = 16 - o. Calculate the remainder when 28 is divided by f.
8
Suppose 3*q + 3 = -3*i, 2*i = -4*q + i + 8. Calculate the remainder when (11 - 1)*(-124)/(-155) is divided by q.
2
Let d(u) = 5*u**2 - u + 3. What is the remainder when d(2) is divided by 11?
10
Suppose 11 = -4*d - 1, 0 = 2*j - 5*d - 57. Suppose -p + 4*p = j. Calculate the remainder when p is divided by (-5)/(-15) - 33/(-9).
3
Let r = 87 + -46. Suppose 0*h - h + 21 = 0. Calculate the remainder when r is divided by h.
20
Suppose 5*o + 59 + 156 = 5*q, -q + 23 = 4*o. Let c = -28 + q. What is the remainder when 30 is divided by c?
8
Let t = -3 + 23. Calculate the remainder when t is divided by 7.
6
Let f(a) = -a**2 - 3*a + 25. What is the remainder when 97 is divided by f(0)?
22
Suppose -3*y + 1 = -i + 17, 5*i + 3*y = -10. Let j = 21 + -20. Calculate the remainder when j is divided by i.
0
Let y(w) = 2*w + 1. Let x(a) = -a**3 + 6*a**2 - 2*a + 3. Calculate the remainder when x(5) is divided by y(2).
3
Let n = -97 + 244. Suppose -3*t = -n - 66. Suppose -3*s - 2*s - t = -3*a, 5*a - 2*s - 131 = 0. What is the remainder when a is divided by 14?
13
Let s(i) = i + 7. Let r(n) be the first derivative of n**3/3 - 4*n**2 - 1. Let h be r(8). Calculate the remainder when s(h) is divided by 3.
1
Let a(j) = 3 + j - 1 - 1. Let s(n) = -6*n + 2. Let w(d) = a(d) - s(d). Calculate the remainder when w(5) is divided by 12.
10
Let w be (-1)/7 - 72/(-14). Suppose -137 = -3*b - f, -2*f - 47 = w*b - 276. Calculate the remainder when b is divided by 16.
13
Let t = 17 - 13. Suppose 117 = t*u + 9. Calculate the remainder when 79 is divided by u.
25
Let n = 11 - 7. Let l(t) = t**3 - 5*t**2 + 5*t + 2. Calculate the remainder when 15 is divided by l(n).
3
Calculate the remainder when 23 is divided by (-101)/(-11)