remainder when w is divided by 8.
6
Let u = 16 - 6. Suppose 10 + 8 = 3*a. What is the remainder when u is divided by a?
4
Suppose 0 = w - 11 + 2. What is the remainder when w is divided by (10/8)/((-2)/(-8))?
4
Let l(d) = -d**3 - 14*d**2 - 40*d + 4. What is the remainder when 9 is divided by l(-10)?
1
Let x = 12 + 26. What is the remainder when x is divided by 10?
8
Suppose -11*c + 4*c + 77 = 0. Calculate the remainder when 53 is divided by c.
9
Let b(q) = -2*q + 82. Calculate the remainder when b(0) is divided by 28.
26
Suppose 56 = -5*q + 76. What is the remainder when 9 is divided by q?
1
Let z = 4 + -2. Suppose -2*j = z*h - 40, 3*h + 2*j + 2*j = 56. Suppose 18 = q + b, -3*b - h + 106 = 5*q. Calculate the remainder when q is divided by 5.
4
Suppose -2*q = -4*z + 164, 0 = q + 2*q. What is the remainder when z is divided by 14?
13
Let s be (4 - 3)*4/(-2). Let n = s + 13. What is the remainder when n is divided by 6?
5
Let n be (-3)/((-6)/(-4)) - 0. What is the remainder when 44 + (n - 2*-3) is divided by 13?
9
Let x(q) = 5*q - 8. What is the remainder when 58 is divided by x(4)?
10
Suppose 4*r - g + 29 = 93, r + 2*g = 7. Calculate the remainder when r is divided by 5.
0
Suppose 0 = -2*a - 15*a + 357. What is the remainder when 61 is divided by a?
19
Suppose -4*u - 5 = -25. Suppose 5*g = -3*b - b + 25, u = -5*g + 2*b. Let o(m) = 11*m. Calculate the remainder when 21 is divided by o(g).
10
Let q(s) = s - 5. What is the remainder when 38 is divided by q(15)?
8
Let b = 176 + -123. Suppose 4*i - 93 = 71. Suppose 49 + i = 5*m. What is the remainder when b is divided by m?
17
Suppose 56 = -22*c + 29*c. What is the remainder when 53 is divided by c?
5
Suppose -3*i - 169 = -8*i + 3*b, 3*i = 2*b + 102. Calculate the remainder when 126 is divided by i.
30
Let l = -4 - -8. Let j(m) be the second derivative of m**3 + m**2/2 - m. What is the remainder when j(l) is divided by 14?
11
Suppose 349 = 4*n - 3*o, -n - 2*o = -4*o - 86. Suppose -3*g + n = g. Calculate the remainder when 43 is divided by g.
21
Suppose 120 = 5*f - 3*y, f - 5*y = -4*f + 130. Calculate the remainder when 80 is divided by f.
17
Suppose -3*q - 5*g + 25 = 0, -7*g = -5*q - 2*g + 95. Calculate the remainder when 43 is divided by q.
13
Suppose -4*g + 16 = -0*g. Suppose -m - 213 = -g*n, m - 114 = -2*n - m. Calculate the remainder when n is divided by 14.
12
Suppose 0 = 5*t - t - 12, 5*y = -5*t + 70. Let f(i) = 3*i**3 + i**2 + i - 1. Calculate the remainder when y is divided by f(1).
3
Let f(v) = v + 4. Let n(t) = -t**2 + 5*t + 4. Let b be n(5). Let j(q) = 2*q - 1. Calculate the remainder when j(b) is divided by f(0).
3
Let f(t) = 24*t + 1. Let p(i) = -29*i + 12. Calculate the remainder when p(-3) is divided by f(1).
24
Let l(r) = -r + 2 - 3*r**2 + r**2 + 7*r**2. Let q be l(-2). Suppose -3*s = -4*s + q. Calculate the remainder when s is divided by 13.
11
Suppose 3*o = -2*a + 18, 3*o = -2*a - 2*o + 10. What is the remainder when a is divided by 6?
3
Let r = 4 + 2. Let h(g) = 1 + 1 + 6 + 3*g. Calculate the remainder when h(r) is divided by 9.
8
Suppose -5*b = -2*b - 102. Let j = 68 - b. Calculate the remainder when j is divided by 12.
10
Suppose 2*j - 6*j + 4331 = -t, 2171 = 2*j + 5*t. Let a be 2/7 - j/(-7). Suppose 4*y - a = -3*x, 0 + 15 = 3*x. Calculate the remainder when y is divided by 12.
11
Let z(k) = k + 2. Let j be z(-2). Suppose j = 5*u - 2*u - d - 20, 3*u - 3*d - 12 = 0. What is the remainder when 14 is divided by u?
6
Suppose 0 = 2*x - 3*g + 7*g - 102, 0 = 3*g - 6. Calculate the remainder when x is divided by 20.
7
Suppose 0 = 4*u - 3*k - 264, u - 6*u + 330 = -2*k. What is the remainder when u is divided by 17?
15
Let r = -70 - -72. What is the remainder when r is divided by 1?
0
Suppose 4*p - 7 = 5*d, -d + 0 = -p + 3. Suppose 2*s - 12 = -4*a, -s + p = -2*a - 10. Let u = 24 - s. What is the remainder when 22 is divided by u?
10
Let v be (-9)/15 + 46/10. Let q = v - 2. Suppose a - 55 = -3*x, q*x + 41 = 4*a - 109. What is the remainder when a is divided by 21?
19
Suppose 0 = -2*a - 4*g + 198, 1 = -5*g - 4. What is the remainder when a is divided by 26?
23
Let y(k) = k**2 - 7*k - 6. Let n be y(8). Suppose 2*d + 6 - 32 = 2*w, -n*d = 2*w - 34. What is the remainder when 59 is divided by d?
14
Calculate the remainder when ((-8)/6)/(4/(-36)) is divided by 6.
0
Suppose 0 = 2*q - 4*y + 20, 25 = -3*q + 4*y + y. Suppose -4*o + q*o = 0. Let p = 3 - o. What is the remainder when p is divided by 2?
1
Let k(x) = -x**3 + 12*x**2 - 8*x + 2. What is the remainder when k(11) is divided by ((-36)/(-10))/((5 - 4)/5)?
17
Let c(i) = i**2 - 3*i + 3. Suppose -2*s - 2*z = 54, -4 = -s - 3*z - 37. Let q be ((-2)/4)/(3/s). What is the remainder when 13 is divided by c(q)?
6
Let v(m) = m**3 + m**2 - 2*m - 2. Let q be v(-1). Suppose 12 = -q*h + 4*h. What is the remainder when 10 is divided by h?
1
Suppose 0 = 5*z + 3*z - 368. What is the remainder when z is divided by 33?
13
Suppose -3*k - 4*m = -243, 4*k = -5*m + 245 + 78. Let s(n) = -10*n. What is the remainder when k is divided by s(-2)?
17
Suppose 8*g - 85 = 3*g. What is the remainder when 65 is divided by g?
14
Suppose -35 - 25 = -4*k. Let u = k + 1. Let i(g) = g**2 + 4*g + 9. Calculate the remainder when i(-7) is divided by u.
14
Let d(k) = -k**2 - k. Let z be d(-1). Suppose -j = -z*j - 15. Calculate the remainder when j is divided by 8.
7
Let k(g) = -g**3 + 4*g**2 + 7*g + 2. Calculate the remainder when 57 is divided by k(5).
9
Suppose 0 = -0*t + 3*t - 111. Let d = 0 + 2. Suppose -x = d - 15. Calculate the remainder when t is divided by x.
11
Let z(g) = 2*g**2 - 36*g - 23. Calculate the remainder when 85 is divided by z(19).
10
Suppose -4*d + 5 = -c + 13, 4*d + c = 0. Let x(m) = 44*m + 1. Let i be x(d). What is the remainder when -1*(-1)/(-1)*i is divided by 15?
13
Let g = 31 + -11. Suppose -p + 5*u = -g, -p + 43 = 2*p + 2*u. Calculate the remainder when p/(-6)*(0 + -14) is divided by 12.
11
Suppose 3*l = -0*l + 126. Suppose 13*r - l = 10*r. Calculate the remainder when 41 is divided by r.
13
Suppose k - 5 = 5*h + 18, -3*k + 5*h + 49 = 0. Let m = 0 + 4. Suppose -p + 5*w + 25 + 16 = 0, -m*p - 5*w = -139. What is the remainder when p is divided by k?
10
Suppose 2*s + s - 25 = -b, -83 = -5*b - s. Calculate the remainder when b is divided by 6.
4
Let c(h) = 6*h**2 + 7*h + 9. Let g = 46 + -20. What is the remainder when c(-4) is divided by g?
25
Let i be 40/6 - 4/6. Suppose i = -6*m + 3*m. What is the remainder when m/(-3)*273/14 is divided by 7?
6
Suppose 2*p + 3*f + 9 = 0, -4*f = 5*p - 0*f + 26. Let q = -9 - p. Let j(n) = -4*n - 3. Calculate the remainder when 35 is divided by j(q).
8
Suppose -2*l = 4*b - 0*l - 138, -2*l - 32 = -b. Let v be (18/(-15))/(2/(-60)). Suppose 2*z = -z + v. What is the remainder when b is divided by z?
10
Let w(a) = -a**3 - 5*a**2 - 2*a - 4. Let d be w(-5). Let u = 28 - d. Suppose 0*i = i - 8. What is the remainder when u is divided by i?
6
Let o(a) = -2*a. Calculate the remainder when 77 is divided by o(-13).
25
Suppose 0 = -s - 2 + 31. What is the remainder when s is divided by 15?
14
Let n(z) = -7 + 3 + 1 + 4 + z + z**2. What is the remainder when 18 is divided by n(-3)?
4
Let g = -238 + 257. Calculate the remainder when g is divided by (2/(-4))/(1/(-14)).
5
Suppose -5*h = -h + 2*m - 8, 0 = -3*m + 12. Suppose 4*n + h*n = 20. What is the remainder when (-106)/(-8) + 1/(-4) is divided by n?
3
Let b(n) = n**2 + n - 3. Let z be b(-3). Let c(a) = 0*a**z + 17 - a**3 + 2*a**3. Calculate the remainder when 65 is divided by c(0).
14
Let a(o) = 39*o**3 + o - 1. Suppose -s - 4*s = -b - 8, 4*b + 12 = 0. What is the remainder when a(s) is divided by 14?
11
Let n = 8 - -26. Suppose 2*b - 4 = 32. Calculate the remainder when n is divided by b.
16
Suppose 4*b - 4*l = -l + 124, 2*b - 48 = -2*l. Let g = 47 - b. What is the remainder when g is divided by 7?
5
Let d(n) = n**3 - 9*n**2 - 6. Suppose 3*c - 5*o + 14 = 4*c, -5*c = 3*o - 48. Let h be d(c). Calculate the remainder when (-180)/h*(-4)/(-5) is divided by 9.
6
Let x(m) = -m**3 + 11*m**2 + 11*m + 10. Let u be x(12). Calculate the remainder when 36 - 0 - (0 - u) is divided by 12.
10
Let d(p) = p**3 + 12*p**2 - 7*p + 15. Let g be d(-12). Suppose -3*i - g = -231. What is the remainder when i is