.
4
Let f(v) = -v + 3. Let r = 7 - 3. Calculate the remainder when ((-6)/(-9))/(r/78) is divided by f(-2).
3
Let m = -27 - -40. Calculate the remainder when 38 is divided by m.
12
Suppose -10*x + 184 = -6*x. Calculate the remainder when x is divided by 24.
22
Let s(g) = 3*g**2 - 6*g + 6. Calculate the remainder when s(5) is divided by 18.
15
Let t(x) = -2*x**3 - 3*x**2 - 7*x - 4. What is the remainder when t(-4) is divided by 35?
34
Suppose -21 = 3*m - 6*m. Suppose h + 4*j = 17, -2*h - 3*h = 4*j - 117. Calculate the remainder when h is divided by m.
4
Suppose -3*f + 15 = -3*l, 5 = -3*l - 4. What is the remainder when 2 is divided by f?
0
Let z(w) = w**3 - w**2 + 4*w - 4. Let g be z(4). Suppose -5*a = 5*m - g, 3*a - m - 32 = -6*m. What is the remainder when a is divided by 8?
6
Let r(z) = -z. Let b be r(1). Let k be (-5)/(3/(b + -2)). Suppose 11 = 4*d + 5*i, -3*i = k*d + 17 - 47. What is the remainder when 17 is divided by d?
8
Suppose -3*j - 3*h - 6 - 15 = 0, -5*h = 4*j + 33. Calculate the remainder when -2 + 78/(-1 + 3) is divided by (-2*1)/(j/13).
11
Let f(a) = -12*a**3 + a + 1. Let r = -5 + 4. Calculate the remainder when 34 is divided by f(r).
10
Let j(b) = -b**2 + 4*b + 6. Let l be j(5). Suppose -4*q + 64 = 4*p, -4*p - l + 14 = q. What is the remainder when 13/(-65) - (-332)/10 is divided by q?
16
Suppose -a - 5*u = a - 38, -3*u = 12. Let m = a + -18. Calculate the remainder when m is divided by 7.
4
Suppose 2*z = 2*y + 3*y - 49, 26 = y + 5*z. What is the remainder when y is divided by 4?
3
Let m = -3 - -15. Suppose 195 = 4*k + 11. Calculate the remainder when k is divided by m.
10
Suppose -11 = 3*o + 1. Let l = 13 + o. What is the remainder when 25 is divided by l?
7
Let q be (12/8)/((-2)/(-36)). Let u = -15 + q. What is the remainder when 23 is divided by u?
11
Suppose 0 = -3*u + 4*d + 37, -d - 47 = -5*u + 2*d. Suppose u*i - 3*i - 28 = 0. Calculate the remainder when i is divided by 4.
3
Let i = -125 - -132. Calculate the remainder when 27 is divided by i.
6
What is the remainder when 0 + -3 + -7 + 13 + 125 is divided by 26?
24
Suppose 0 = g - 5*y - 35, -y - 16 = 3*y. Let h(l) = l**3 - 11*l**2 + 5*l + 2. What is the remainder when h(11) is divided by g?
12
Suppose 2*x - p + 20 = p, -2*p - 28 = 2*x. Suppose 0 = -5*t - 4*q + 65, 5*t - 39 - 21 = -5*q. Let a = x + t. Calculate the remainder when 9 is divided by a.
4
Let h(p) = -2*p - 2. Let u = -1 - -5. Let w(n) = -2*n - 2. Let q(r) = u*w(r) - 3*h(r). What is the remainder when 6 is divided by q(-3)?
2
Let j(l) = 3*l + 32. Let z = -16 - -11. Calculate the remainder when (4 + z)*62/(-2) is divided by j(-7).
9
Let f be (-1 + 5)/(-4)*0. Suppose f = -b - 3*u + 9, -5*b + b = 5*u - 29. Calculate the remainder when b is divided by 2.
0
Let d be (-120)/2 - (-15)/5. Let r = 80 + d. What is the remainder when r is divided by 3/(-9) - 25/(-3)?
7
Let q = -69 + 43. Let d = 56 - q. Calculate the remainder when d is divided by 21.
19
Suppose 0 = 6*w - 5 - 85. Calculate the remainder when 29 is divided by w.
14
Suppose 0*z - 30 = -5*d - 5*z, 5*z - 21 = 4*d. Let w = d + -2. Let f = w - -4. What is the remainder when 5 is divided by f?
2
Let v(t) = t**2 - 4*t - 7. Let h(s) = -s**2 - 9*s - 8. Let w be h(-7). Calculate the remainder when 13 is divided by v(w).
3
Suppose -7*z - 64 = -3*z. Let g = -11 - z. Calculate the remainder when 9 is divided by g.
4
Suppose 0 = 6*r - r - 50. Suppose -2*d = -0*d - r. Suppose 3*h - 5*k - 32 = 0, -k - k - 47 = -5*h. What is the remainder when h is divided by d?
4
Suppose -t + 2*t + 15 = 2*u, 4*u + 2*t = 18. Let j be (-5)/(-3) - (-2)/u. Calculate the remainder when 8 is divided by 14/j + 4/(-2).
3
Let x = -56 + 79. Calculate the remainder when 89 is divided by x.
20
Let j(c) = -3*c**2 - 4*c - 3. Let i be j(7). Let n = -107 - i. Calculate the remainder when n is divided by 18.
17
Suppose 5*g + 0*y - y = 232, 0 = -5*g + 5*y + 240. What is the remainder when g is divided by 16?
14
Let s(n) = 49*n + 1. Suppose o - 13 = 4. Calculate the remainder when s(1) is divided by o.
16
Suppose -v + 5*g = 56, 2*g = 5*v - 3*g + 200. Let q = v - -51. Calculate the remainder when q is divided by 4.
3
Calculate the remainder when (-370)/(-8 + 3)*1 is divided by 25.
24
Suppose 5*t + 0*w = 3*w + 23, 0 = -w - 1. Suppose -t*m + 23 = -3*m. Suppose -5*s = 5*b - 12 - 13, 9 = -3*b. Calculate the remainder when m is divided by s.
7
Let d = 76 - -26. What is the remainder when d is divided by 26?
24
Let l(c) = c + 7. Let j be l(-7). Suppose j = -2*h + 4*i - 7*i + 52, -i + 92 = 3*h. What is the remainder when h is divided by 17?
15
Let h(t) = -17*t**3 - 3*t - 4. What is the remainder when 77 is divided by h(-1)?
13
Let q(i) = -5 + 4 + 1 + 1 + 9*i. Calculate the remainder when q(3) is divided by 15.
13
Let o(m) = -m**3 + 10*m**2 + 2*m - 3. What is the remainder when 33 is divided by o(10)?
16
Let r = 4 + 12. Suppose 2*a + t + t = 128, 250 = 4*a + t. Calculate the remainder when a is divided by r.
14
Let y = 0 - -3. Let o = -2 + -8. Let d = y - o. What is the remainder when d is divided by 5?
3
Suppose 2*w = 4*w + 8. Let j(s) = -5*s - 5. What is the remainder when j(w) is divided by 8?
7
Suppose -4*m + h = -3*h - 20, -4*h - 20 = -2*m. Let t = 5 - m. What is the remainder when 13 is divided by t?
3
Let b = -4 + -1. Let q = b + 28. Calculate the remainder when q is divided by 12.
11
Suppose 99 = 3*y - 0*y. What is the remainder when y is divided by 18?
15
Suppose -2*w + 20 = 2*w. Suppose 0 = 2*f + n - 17, -3*f + 14 = -3*n - 16. Calculate the remainder when f is divided by w.
4
Suppose -31 = -5*g + 4*c + 171, c - 86 = -2*g. Suppose -5*a - 10 - 39 = -4*h, -4*a = 2*h - 18. What is the remainder when g is divided by h?
9
Let l = 27 + -22. Calculate the remainder when 17 is divided by l.
2
Let w(y) = 2*y**2. Let o be w(-1). Suppose 0 = -o*m - 0*m + 24. What is the remainder when m is divided by -1 + 8 + 0/1?
5
Let l(s) be the second derivative of -s**3/6 + 3*s**2/2 + 2*s. Let i be l(-4). What is the remainder when 11 is divided by i + (-1 - (-1 + 1))?
5
Let y = -45 - -111. Calculate the remainder when y is divided by 23.
20
Suppose -2*k + 5*k = 3*s + 201, -2*s = -k + 70. Suppose -34*n = -30*n - 88. What is the remainder when k is divided by n?
20
Calculate the remainder when ((-8)/(-6))/(4/102) is divided by 12.
10
Suppose 35 = 3*l - 28. Let i(a) = -6*a + 34. What is the remainder when i(-8) is divided by l?
19
Suppose -2*h + 3 = -3. Suppose -h*x + 8 = x. Calculate the remainder when 3 is divided by x.
1
What is the remainder when -21*((-114)/21 - -5) is divided by 4?
1
Suppose 3*f + 0*f + 192 = 5*x, -3*x + 100 = 2*f. What is the remainder when x - (0 - 4/(-2)) is divided by 12?
10
Suppose 2*u - 6*u - 4 = 0, 0 = -3*q - u + 56. Let h(d) = 2*d + 3. Let r be h(7). Let w = r - 7. Calculate the remainder when q is divided by w.
9
Let o(g) = g**2 + 8*g - 5. Let m be o(-9). Suppose -d - 186 = -m*d. Calculate the remainder when d is divided by 13.
10
Suppose 5*i - 22 + 2 = 0. Suppose -z + 0 + i = 0. Suppose n - z*n = -42. What is the remainder when n is divided by 5?
4
Suppose -4*m + 2*h + 49 = m, -4*m + 38 = -2*h. Let f = 21 + -46. What is the remainder when f/2*(-8)/5 is divided by m?
9
Let b(m) = m**3 + 5*m**2 + 3*m - 3. Let t be b(-3). Suppose -5 = -5*x - 5*v, -4*x + v + 20 - t = 0. What is the remainder when 7 is divided by x?
1
What is the remainder when (-6)/4*2*-15 is divided by 12?
9
Let l = -8 + 7. What is the remainder when 10 is divided by l/(-5) - (-87)/15?
4
Let q(o) = o**3 + 3*o**2 - 11*o - 9. Let j be q(-7). Let w = 216 + j. What is the remainder when w is divided by 23?
19
Let z = 25 + 12. Let y(i) = -i**3 - 17*i**2 - 16*i + 13. What is the remainder when z is divided by y(-16)?
11
Suppose 40 = 5*m - m. What is the remainder when 18 is divided by m?
8
Suppose 0*q + 9 = -q - 3*y, -2*y = 6. Suppose 5*g = 2*w - q*g - 37, -3*g + 61 = 4*w. Let p = 2 + 4. What is the remainder when w is divided by p?
4
Suppose x - 58 + 16 = 0. Suppose -10*m + 14*m = -2*b + 38, 4*b + 2*m = 52. What is the remainder when x is divided by b?
9
Let i = 92 - 23. Calculate the remainder when i is divided by 18.
15
Let s = 120 - 86. Calculate the remainder when s is divided by 18.
16
Let p(i) = -i**2 + 5*i + 2. Let o be p(6). What i