16, -3*y + 2*d = -1. Suppose -15 = -5*o, 13 = -f + y*f - 5*o. What is the remainder when f is divided by 5?
4
Let y(w) be the first derivative of 3*w**2/2 + 5*w + 5. What is the remainder when 65 is divided by y(4)?
14
Suppose 15*u = 14*u + 12. Calculate the remainder when 7 is divided by 34/u + 12/72.
1
Let y(l) = -4*l - 2. What is the remainder when 23 is divided by y(-2)?
5
Suppose 6 = -4*r + 5*r. Let j = -4 + r. Suppose -4*x = -16, 0 = -j*u + 4*x - 5*x + 16. What is the remainder when u is divided by 3?
0
Let i = 4 - 6. Let s = 1 - i. Calculate the remainder when 27/5 + s/5 is divided by 4.
2
Let k(o) = -2*o - 10. Let r be k(-8). Suppose 2*d - 4*l - 12 = 0, 3*l + 5 + r = 2*d. What is the remainder when 486/24 - 1/d is divided by 11?
9
Let j = 19 - -269. Calculate the remainder when 18 is divided by (-2)/(-5) + j/30.
8
Suppose -4*h + 206 = -0*h + 2*p, 0 = -4*h + 5*p + 227. Let j(w) = -2*w - 6. What is the remainder when h is divided by j(-10)?
11
Suppose -w = -5*i + 13, 0*i + 63 = 4*w + 3*i. Suppose -3*s - 3 + 90 = 0. Suppose -s = -x - w. Calculate the remainder when x is divided by 10.
7
Let w = -6 + 9. Calculate the remainder when w is divided by 3.
0
Suppose -40 = -5*m - 2*y + 7*y, 6 = 3*y. Let i(t) = -m*t - 2 - 4*t - 1 - 7*t. Calculate the remainder when i(-2) is divided by 10.
9
Let a be 12*(-3)/(-2)*1. Suppose 12 = 2*h - a. What is the remainder when h is divided by 9?
6
Let m = -67 - -121. Calculate the remainder when m is divided by 11.
10
Suppose -1 + 3 = -2*b. Let f be ((-1)/5)/(b/5). Suppose -f = -m, -37 = -4*a + 2*m + 73. What is the remainder when a is divided by 15?
13
Suppose 20*v + 35 = 21*v. Calculate the remainder when v is divided by 3 - (-2 + 1 - 5).
8
Let j(y) = -4*y**3 + 2*y + 1. Let f be j(-1). Suppose -f*p - 25 = -8*p. Suppose 5*a = 5*w, 3*a + 1 = p*w - 3. Calculate the remainder when w is divided by 1.
0
Let r be (-1 - (0 + 1)) + 107. Suppose 5*n - 255 = -5*o - 0*n, 2*o = -n + r. Calculate the remainder when o is divided by 19.
16
Let m(j) = 2*j**2 + 2*j - 2. Let o = 11 - 7. Suppose 5*v + 6 + o = 0. What is the remainder when m(v) is divided by 1?
0
Let f(u) = 0*u + u**3 + 3*u**2 + 2 + u + 0*u**3. Let w be f(-4). What is the remainder when 23 is divided by (-150)/w - 2/6?
7
Let w = -2 + 4. Suppose v + 3*i + 20 = w*v, -5*v = -5*i - 90. Calculate the remainder when 66 is divided by v.
15
Calculate the remainder when 15 is divided by (40/(-25))/(6/(-15)).
3
Let b = 7 + -4. Suppose -3*m - 12 = -3*a + a, 0 = -b*a - m + 18. What is the remainder when 16 + 6 + -3 + -3 is divided by a?
4
Suppose 4*w - 2*w = -3*l + 2, 0 = 2*l + 4. Suppose -2*m + 4*h + 10 = 0, m + 4*h + 5 = -2*m. Let y = m + 5. Calculate the remainder when y is divided by w.
2
Let w(q) = 4 - 3*q**3 - 4 - 10*q + 2 - 3*q**2 + 0*q**2. Let f be w(-7). Calculate the remainder when ((-1)/(-3))/(6/f) is divided by 18.
17
Suppose 2*l + 23 = 4*l + 3*s, -15 = -2*l + 5*s. Let k(j) = 13*j**2 + 5*j - 7 - 135*j**3 + 134*j**3 - 3*j**2. What is the remainder when k(l) is divided by 15?
13
Suppose 4*q + 5*p = 3*p + 294, 5*p - 78 = -q. Calculate the remainder when q is divided by 25.
23
Suppose 2*m = 11 - 1. Let s(q) = -q**3 - 12*q**2 - 10*q + 13. Let n be s(-11). What is the remainder when m is divided by (-2)/(-2 + 3/n)?
1
Suppose -13 = 4*i + 3*f - 84, -4*i = 4*f - 72. Let m(u) = u**2 + 6*u + 6. Calculate the remainder when i is divided by m(-6).
5
Suppose 4*i - 4*k + k - 44 = 0, 3*i - 33 = 3*k. Suppose -4*l = 5*h + 129, 3*l = -1 - 2. Let a = h + 56. Calculate the remainder when a is divided by i.
9
Let t be -7*(9/21 + -3). What is the remainder when 49 is divided by t + (2 - 0 - 3)?
15
Suppose 3*k + 2*k = 15. Let y(h) = 12*h. What is the remainder when (-612)/(-27)*k/2 is divided by y(1)?
10
Suppose -42 - 4 = -2*u. What is the remainder when u is divided by 4?
3
Suppose 0*a - 3*a - 27 = -v, 0 = -5*v + 2*a + 109. Calculate the remainder when 39 is divided by v.
18
Suppose -5*k = -15 - 370. Let s = k + -45. Calculate the remainder when s is divided by 17.
15
Suppose 0 = 3*f - 2*j - 258, -4*f - 3*j + 80 = -264. Calculate the remainder when f is divided by 44.
42
Suppose 4*l - 12 = 0, 3*q - 3*l - 105 = 6*q. Let x = 23 + q. What is the remainder when 50 is divided by 6/(-15) + (-396)/x?
24
Let i(b) = -4*b + 78. Calculate the remainder when 35 is divided by i(15).
17
Suppose 0 = -3*f + 3*x + 24, -5*f = -2*x - 34. What is the remainder when 28 is divided by f?
4
Calculate the remainder when -4*(-20)/16 + 43 is divided by 13.
9
Suppose 5*g = -4*h + 105, -37 = -g - 3*h - h. What is the remainder when 47 is divided by g?
13
Let g(u) = u**2 - 2*u + 2. Suppose 5*d = -6 + 16. Let q be g(d). Let r = 11 - q. Calculate the remainder when 25 is divided by r.
7
Let w(i) = i**2 - i - 4. Suppose -z + 8 = 3*z. Calculate the remainder when (-2)/(-1) - z*-1 is divided by w(3).
0
Suppose -89 = -9*b + 19. What is the remainder when 71 is divided by b?
11
Let z = 12 - 9. Suppose -3*c - 3*b = -c - 38, z*c + 5*b - 57 = 0. Calculate the remainder when c is divided by 5.
4
Suppose 37*k + 150 = 42*k. What is the remainder when k is divided by 17?
13
Let h(p) = 3*p**2 - 5*p - 4. Let m(x) = 7*x**2 - 11*x - 9. Let v(w) = -9*h(w) + 4*m(w). Calculate the remainder when v(-7) is divided by 15.
12
Let o(i) = -3*i**3 - 3*i**2 + 4*i - 8*i + 3*i**3 + i**3. Let d be o(4). What is the remainder when 21 is divided by d + (-11)/3*-3?
10
Suppose -2 - 6 = -2*h. Suppose -3 = -3*z + f, 2*z - f - 7 = -2*f. What is the remainder when h is divided by z?
0
Let d = 12 + 6. Suppose 83 = 5*a + d. Let l = a - -18. Calculate the remainder when l is divided by 11.
9
Let i(n) = n**3 - 2*n - 1. Let t be -6*(10/3)/(-5). Calculate the remainder when i(t) is divided by 19.
17
Let t(m) = -m**3 - m**2 - 4*m - 4. Let c be t(-3). Let d = 43 - c. What is the remainder when 32 is divided by d?
15
Let j = -49 - -76. Calculate the remainder when j is divided by 4.
3
Let i(f) = f + 3. Suppose -4*t + 17 = -s + 2*s, -32 = 4*s - 4*t. Let c be i(s). What is the remainder when 0 + (-14)/(-2) + c is divided by 3?
1
Suppose 33 + 19 = 4*k. Calculate the remainder when 23 is divided by k.
10
Suppose -4*c + 0*c = -32. Calculate the remainder when 22 is divided by c.
6
Let c = 10 - 7. Suppose 0*y - 60 = -c*y. Calculate the remainder when 59 is divided by y.
19
Let v = 25 - -6. Calculate the remainder when v is divided by 8.
7
Let s be 8/(-4)*(0 + 2). Let x(u) = u**2 + 2*u + 2. What is the remainder when 37 is divided by x(s)?
7
Suppose -3*d + 8*d = 4*q - 77, -4*q + 4*d + 76 = 0. Let z = 47 - q. What is the remainder when z is divided by 15?
14
Suppose 3*m - m = 6. Let s = m + 9. Suppose -26 - 66 = -4*r. Calculate the remainder when r is divided by s.
11
Let t(q) = 7*q**2 - q + 4. What is the remainder when t(2) is divided by 8?
6
Let y = -90 + 126. What is the remainder when y is divided by 13?
10
Let m = 86 + -60. Suppose 3*t + 6 = -3*g, 0 = 5*g - 4*t - 0*t - m. Suppose 0*b - g = -b. What is the remainder when 5 is divided by b?
1
Suppose 5*g = 5*p - 110, -4*p + 41 = -2*g - p. Let a = 45 + g. What is the remainder when a is divided by 7?
6
Suppose 0 = 2*t + 5*l - 50, -3*t + 2*l = l - 41. What is the remainder when 58 is divided by t?
13
Suppose 31 = 5*j + 4*s, -3*j + 4*s - 5 - 2 = 0. Suppose j*m = -41 + 11. Calculate the remainder when (-165)/m*(-8)/(-6) is divided by 8.
6
Let y(k) = -6*k + 55. What is the remainder when y(6) is divided by (-6)/(-27) + (-86)/(-18)?
4
Suppose 96 - 20 = 2*d. What is the remainder when 111 is divided by d?
35
Let t = -11 - -7. Let h be (26/8)/((-1)/t). Calculate the remainder when h*(2 - 1) - 2 is divided by 4.
3
Suppose 17 = 5*g - 3. Suppose o - 2*x = 2*x + 9, g*x = -2*o + 30. Suppose 0 = 4*u - u - 24. What is the remainder when o is divided by u?
5
Suppose 3*x - a = 131, -4*x = -2*a + 4*a - 168. Calculate the remainder when x is divided by 22.
21
Let r be (4/10)/((-8)/(-40)). Suppose -r*b = -10 + 4. What is the remainder when 8 is divided by b?
2
Let g(i) = i**3 - 9*i**2 + 4*i + 11. Let x(p) = -6*p - 3. Let t be x(-2). What is the remainder when g(t) is divided by 12?
11
Let a = -5 - -7. Let v be 3/1*(-4)/6. Let k = a - v. Calculate the remainder when k is divided by 3.
1
Let l = 216 - 123. Suppose 0 = -b - 2 + 4. Sup