 a(q) = -17*q - 1. Let n = 14 - 16. What is the remainder when a(n) is divided by 12?
9
Suppose 9*p - 4*p = -140. Let u = p - -51. Suppose 3*g = 5*d + 61, -6*d + 35 = 5*g - d. Calculate the remainder when u is divided by g.
11
Suppose 3*l - 405 = -5*v, 3*l = -v + 7*l + 104. Calculate the remainder when v is divided by 29.
26
Suppose -5*v + 40 = -3*a, -4*a - 33 = -2*a + 3*v. Let f = a + 58. What is the remainder when f is divided by 11?
10
Let n(z) be the third derivative of -z**4/6 + z**3/3 - 2*z**2. What is the remainder when 1*1/2*82 is divided by n(-3)?
13
Let h(v) = 4*v + 3. Calculate the remainder when h(6) is divided by 10.
7
Suppose -c = -0*c + 6. Let h(j) = j**3 + 6*j**2 - 8*j - 2. Let r(p) = -7*p + 2. Calculate the remainder when h(c) is divided by r(-2).
14
Suppose -116 = -4*f + 5*b + 39, -f + 70 = 5*b. Let a = -2 - -1. Calculate the remainder when f is divided by a/(-3) + 175/15.
9
Calculate the remainder when (-122 + -5 + 4)*(-4)/6 is divided by 29.
24
Suppose -j - j = -22. Let s = -43 - -73. Calculate the remainder when s is divided by j.
8
Let a = 7 - 4. Let o be 1/(-3) + 46/a. Let r = o - 3. Calculate the remainder when r is divided by 7.
5
Let g be 12/(-3 + 6) + 2. Let x = g + 2. What is the remainder when 21 is divided by x?
5
Let i = 14 + -9. Let q be (-2)/(-6)*(365 - 8). Suppose -i*l - 24 + q = 0. Calculate the remainder when l is divided by 10.
9
Let i be (-2 - 8)/(-2)*-1. What is the remainder when (i/3)/((-1)/6) is divided by 3?
1
Let d = 5 - 3. Let t = d + 1. Suppose 1 = t*z - 5. What is the remainder when 4 is divided by z?
0
Let y = 2 + -2. Let j = y + -1. What is the remainder when 1*9*(1 - j) is divided by 10?
8
Suppose -4*j - 2*n = -248, -3*j + 162 + 18 = 3*n. What is the remainder when j is divided by 22?
20
Suppose 5*k - 13*k + 144 = 0. Calculate the remainder when 25 is divided by k.
7
Suppose -k - k = -18. Calculate the remainder when 17 is divided by k.
8
Let m(d) = 2*d - 17. What is the remainder when m(20) is divided by 4?
3
Suppose 0 = -0*t + 2*t. Let p(d) = d**3 + d**2 + 11. Calculate the remainder when p(t) is divided by 4.
3
Suppose 0 = -0*w + 2*w - 4*k + 16, -4*k + 4 = -w. Let s be 2 - w/(-3) - -6. What is the remainder when 26 is divided by 7/28 + 55/s?
12
Let y = -61 - -73. Calculate the remainder when 81 is divided by y.
9
Let o(u) = u**2 - 2*u + 2. Let k be o(4). What is the remainder when 30 is divided by (-32)/(-10)*25/k?
6
Suppose t - 2*d - 12 = -t, -5*d - 18 = t. What is the remainder when 7 is divided by t?
1
Suppose -4*c = -3*c - 4, 2*t + 2*c - 28 = 0. What is the remainder when 26 is divided by t?
6
Let v be (2/5)/((-2)/(-20)). Suppose q - 147 = -v*y, 5*y - q - q = 200. What is the remainder when y is divided by 20?
18
Let o(x) = x + 7. Suppose 4*a = -5*m + 19, 5*m + 6 = 21. Calculate the remainder when a is divided by o(-6).
0
Suppose f = 2*d - 14, -7*d + 4*f + 36 = -3*d. Let a(x) = -x**3 + 6*x**2 - 6*x. What is the remainder when a(4) is divided by d?
3
Let q(k) = 4*k**2 + 4*k + 3. What is the remainder when 31 is divided by q(-2)?
9
Let b(d) = 10*d**2 - 6*d - 1. What is the remainder when 202 is divided by b(-2)?
49
Suppose -2*l = 3*o - 10 - 18, -l = -2*o + 21. Let p = 5 - o. What is the remainder when 27 is divided by p/((-15)/2)*21?
13
Suppose 4*v = -j - 7, -v - v - 5*j = -19. Let y = 8 + v. What is the remainder when 8 is divided by y?
3
Suppose 5*g + 3*w - 9 = 0, 0 = -2*w + w - 2. Suppose t - g*t + 14 = 0. What is the remainder when 26 is divided by t?
5
Let j(r) = -8*r - 27. Suppose -2 = 2*p - 6. What is the remainder when j(-4) is divided by p?
1
Let t(d) = d**2 + 5*d - 7. Let k be t(-7). Suppose -2*c + 2*v + 92 = k*v, c - 3*v = 35. Let n = -2 + 16. Calculate the remainder when c is divided by n.
13
Suppose 4*o - 55 + 11 = 0. Suppose 0 = 8*j - 3*j - 105. What is the remainder when (j/(-4))/((-2)/8) is divided by o?
10
Let i be 13/3 + 4/(-12). Suppose i*w = -4 - 20. Let h(g) = -g**3 - 4*g**2 + 7*g - 5. Calculate the remainder when h(w) is divided by 9.
7
Let b = -9 - -15. Suppose -u - 140 = -b*u. What is the remainder when u is divided by (80/(-28))/(4/(-14) + 0)?
8
Let k(v) = v**3 - 4*v**2 + 1. Let l(x) = -x**2 + 2. Let z be l(2). Let y be (2/6)/(z/(-30)). What is the remainder when k(y) is divided by 9?
8
Let w = -24 + 48. What is the remainder when 93 is divided by w?
21
Let b be (-10)/15 - 22/(-6). Calculate the remainder when -3 - -31 - (-1 - -3) is divided by (-26)/(-4) - b/(-6).
5
Let u(l) = -l**3 + 8*l**2 - 6*l + 2. Let o be u(7). Let b = -6 + o. Suppose -h + 4 = -2*g, b*g - 2*g = -h + 1. Calculate the remainder when 5 is divided by h.
1
What is the remainder when (1/3)/(8/888) is divided by 19?
18
Suppose 4*h - 2*h = 38. Calculate the remainder when 73 is divided by h.
16
Let h(s) = -13*s + 17. What is the remainder when h(-4) is divided by 10?
9
Let u = -2 - -3. What is the remainder when 3 + -3 + 62*u is divided by 21?
20
Let z(g) = g**3 - 6*g**2 + 4*g - 7. What is the remainder when z(6) is divided by 9?
8
Let a(f) = -f + 5. What is the remainder when 56 is divided by a(-10)?
11
Let v = -11 + 27. Suppose 5 = 3*t + 2*t, -95 = -2*z - 3*t. What is the remainder when z is divided by v?
14
Let x(r) = -r**2 + 4*r + 3. Let w be x(4). Suppose 0 = -4*u + u + w. Suppose 2*i - u = 5. Calculate the remainder when 7 is divided by i.
1
Let t = -33 + 43. Calculate the remainder when 34 is divided by t.
4
Let h be (-1)/(71/24 + -3). Suppose d + 2*d = h. Calculate the remainder when 15 is divided by d.
7
Let o(f) = f - 4. Let b be o(3). Let n = 9 - 5. Let c = n - b. What is the remainder when 13 is divided by c?
3
Let k = 329 + -141. Calculate the remainder when k is divided by 48.
44
Suppose 0 = -5*m + 2*d - 0*d + 322, 2*m = -d + 136. What is the remainder when m is divided by 23?
20
Let p(c) = 2*c**2 - 4*c + 4. What is the remainder when p(5) is divided by (-59)/(-5) - 1/(-5)?
10
Let t = 7 - 4. Suppose 2 = -r + 5*f - 4, -r - t*f + 34 = 0. Let k = -66 - -102. What is the remainder when k is divided by r?
17
Suppose -36 = -3*n - 0*n. Let c = 608 - 550. Calculate the remainder when c is divided by n.
10
Calculate the remainder when 43 is divided by (-2)/(-6) - (-44)/3.
13
Suppose -2*m + b = -6*m + 60, 3*b = 0. Calculate the remainder when m is divided by 7.
1
Suppose -c - w = w + 11, 2*c = -w - 10. Let h(v) = -8*v - 1. Let i be h(c). What is the remainder when ((-2)/(-2))/(1/i) is divided by 12?
11
Suppose 0 = -3*d - 3. Let o(p) = -10*p**3 - 2*p**2 + 1. Let y be o(d). Calculate the remainder when 16 is divided by 52/y - (-2)/9.
4
Let a(j) = -2*j**2 + 4*j - 1. Let t be a(3). Let q = t + -71. Calculate the remainder when 17 is divided by q/(-8) + (-12)/16.
8
Let h be 20*((-6)/4)/3. Let p(x) = 43*x**2 - 2*x. Let g be p(1). Let o = h + g. What is the remainder when o is divided by 16?
15
Calculate the remainder when 27 + (1 - 1 - 4) is divided by 8.
7
Let x(y) = y. What is the remainder when (5 - 11)*((-1)/(-2) - 2) is divided by x(4)?
1
Suppose -a - 44 = -4*r, -28 = -5*r + 2*r + 2*a. What is the remainder when 80 is divided by r?
8
Let i(z) = 3*z**2 + 1. Let y be 2*2 + 0/4. Suppose y - 1 = -3*x. What is the remainder when i(x) is divided by 3?
1
What is the remainder when 25 is divided by (-7)/28 + (-106)/(-8)?
12
Let d(i) be the third derivative of i**6/120 - i**5/30 + i**3/2 - i**2. What is the remainder when d(4) is divided by 9?
8
Suppose -2*g = -4*c + 12, 5*c + 0*g - 17 = 2*g. Suppose 23 = -c*f - 32. Let z(w) = -w - 7. Calculate the remainder when z(f) is divided by 3.
1
Let c = 31 - 18. Let a(t) = t**2 + 184. Let p be a(0). Suppose -66 = -5*h + p. What is the remainder when h is divided by c?
11
Let c = -1 - -9. Suppose 3*n = c*n - 50. Suppose 5*w = g + 141, -3*g - 21 = -w - g. Calculate the remainder when w is divided by n.
9
Let j(r) be the third derivative of -r**5/60 - r**4/8 + 2*r**2. What is the remainder when 4 is divided by j(-2)?
0
Let j(a) = -2*a + 3. Let o be j(5). Let y = -3 - o. Calculate the remainder when 18 + 2/4*y is divided by 7.
6
Let h(z) = -6*z + 3*z - 5 - 4. What is the remainder when (-1 - 3)/((-2)/8) is divided by h(-6)?
7
Calculate the remainder when 6*6/(-8)*-14 is divided by 16.
15
Let d(x) = -2*x + 4. Let b be 16/6*9/(-6). What is the remainder when 22 is 