 x = -119 - -84. Let f = x + u. What is the remainder when f is divided by 17?
15
Suppose -6*h + 234 = 30. What is the remainder when h is divided by 19?
15
Let p(f) = f**2 + 4*f - 3. Let t(v) = -4*v**2 - v. Suppose 4 - 9 = -5*q. Let u be t(q). What is the remainder when 4 is divided by p(u)?
0
Suppose -34 = -w - w. Let m = 41 - 5. Suppose -5*a + m = -a. What is the remainder when w is divided by a?
8
Suppose -v - 64 = -2*u + v, 0 = -2*u + 5*v + 58. What is the remainder when 65 is divided by u?
31
Suppose -p - 5*y + 29 = -10*y, -5*y - 15 = 0. What is the remainder when 33 is divided by p?
5
What is the remainder when 48 is divided by 26*(-1 + -2*6/(-8))?
9
Let o(l) = -l**2 - 2*l + 5. Let t be o(-4). Let q(d) = d**2 - 2*d + 3. What is the remainder when q(t) is divided by 7?
4
Let q be 2*(-2)/((-8)/(-14)). Let m(v) = -v**2 - 10*v - 5. What is the remainder when 47 is divided by m(q)?
15
Suppose -3*t - m + 86 = -2*m, -2*t + 4*m + 64 = 0. Let r(q) = -q + 4. Let v be r(3). What is the remainder when t is divided by 2 - (-12*v - 1)?
13
Let b(q) = -3*q + 4. Let f = -7 - -62. Calculate the remainder when f is divided by b(-5).
17
Suppose 0 = 12*k - 371 + 119. What is the remainder when 74 is divided by k?
11
Suppose 3*o - 6 = -z + 5*o, 4*z - 5*o = 18. Suppose 2*h - z*i = -0*i + 16, 0 = -h + 4*i + 11. What is the remainder when h is divided by 4?
3
Let j = -17 - -13. What is the remainder when (-34)/((-4)/(6 + j)) is divided by 6?
5
Let s = 8 + 0. Let q(b) = 2*b + 3. What is the remainder when q(8) is divided by s + -1*(-9)/(-3)?
4
Let s(t) = 2*t**2 + 1. Let i be s(2). Suppose -4*d + 5*d - i = 0. Suppose -4*j = -5*j + 3. What is the remainder when d is divided by j?
0
Let t = 8 - -6. Calculate the remainder when 55 is divided by t.
13
Let f be 140/(-21)*24/(-5). Suppose 2*h - 66 = -3*y + 6*y, h - y = f. Calculate the remainder when h is divided by 8.
6
Let x(u) = u**3 + 9*u**2 - u + 7. What is the remainder when 28 is divided by x(-9)?
12
Let a be (-129)/6 + (-6)/4. Let j = -16 - a. What is the remainder when ((-54)/4)/((-2)/4) is divided by j?
6
Suppose -5*n = -n - 44. Suppose 2*p + n = 41. Calculate the remainder when (11/(-1))/(1/(-4)) is divided by p.
14
Let f(s) = s + 2 + s**3 + 0*s - 2*s - 7*s**2 - 1. Let x be f(7). Calculate the remainder when x/(-5)*(-60)/(-9) is divided by 5.
3
Let u = 115 + -47. Suppose l + l = u. Let i = 69 - l. Calculate the remainder when i is divided by 12.
11
Let u(z) = z**3 + 37*z**2 - 38*z + 14. Calculate the remainder when 31 is divided by u(-38).
3
Suppose 5*f = -4*g + 79, -f + 11 = 4*g - 8. Calculate the remainder when 27 is divided by f.
12
Let r(k) = -5*k - 4. What is the remainder when 63 is divided by r(-4)?
15
Suppose -2*i + 3*m = -0*i - 20, 3*m - 20 = -2*i. Calculate the remainder when ((-94)/4)/((-5)/i) is divided by 24.
23
What is the remainder when 8 is divided by (-18)/(-4) + 20/(-40)?
0
Suppose h = -4*n - 3*h, -5*n - h - 12 = 0. Let o(v) = -v**2 - 4*v + 1. Suppose -3*u = -9 - 6. What is the remainder when u is divided by o(n)?
1
Suppose 6*y = -50 + 164. What is the remainder when 33 is divided by y?
14
Suppose -104 = 7*s - 258. Calculate the remainder when ((-82)/4)/((-1)/2) is divided by s.
19
What is the remainder when 25 is divided by (1/(-2))/(2/(-52))?
12
Calculate the remainder when -1 - (-2 + -1 + -30) is divided by 11.
10
Suppose -39 = -2*c - c. What is the remainder when 21 is divided by c?
8
Suppose 5*k - 133 = -5*r + 117, 2*r - 98 = -4*k. Calculate the remainder when r is divided by 14.
9
Let z = -2 - -8. Let p be z/(-21) + 57/(-21). What is the remainder when (-3)/(-3)*(p + 16) is divided by 7?
6
Let i = -1 - -4. Suppose 0 = -i*p - 0*p + 66. What is the remainder when p is divided by 6/15*1*20?
6
Let u be -5 - -1 - (-6 + -2). Suppose 0 = u*a + a - 110. Let i = -3 + 11. What is the remainder when a is divided by i?
6
Suppose 4*k - 115 = -k. Suppose -d + 7*q + 6 = 4*q, 2*q - 28 = -2*d. Calculate the remainder when k is divided by d.
11
Let m = -7 + 11. Let y = 4 - m. Suppose -j + u + u = -31, y = 2*j + u - 42. Calculate the remainder when j is divided by 12.
11
Let t(m) = m + 6. Let h be t(-6). Let b = 87 - 61. Suppose 0 = -u + 4*u - 4*q - b, h = q - 4. What is the remainder when u is divided by 8?
6
Suppose -r - 62 = -3*g, 0*r - 30 = -g - 2*r. What is the remainder when g is divided by 5?
2
Let f = 3 - 1. Suppose -6 = u - f*u. Let c(x) = -x**3 + 5*x**2 - 2*x + 2. Calculate the remainder when c(2) is divided by u.
4
Suppose -4*p + 29 = -0*p + 5*o, 4*o = p - 2. Let i(k) = k + 1. What is the remainder when i(p) is divided by 2?
1
Let c = -19 - -42. Let t = c + -2. What is the remainder when 61 is divided by t?
19
Suppose 0 = -2*y - 5 + 29. Let b = 52 - 6. What is the remainder when b is divided by y?
10
Suppose 2*y = i - 21, -y + 20 = 5*i - 63. Suppose -17 = -3*q - 2. Calculate the remainder when i is divided by q.
2
Suppose 324*u - 328*u = -72. Calculate the remainder when 107 is divided by u.
17
Let n(i) = -i**2 + 13*i - 5. Suppose 0 = -4*t - 2 + 42. What is the remainder when n(t) is divided by 10?
5
Let r(k) = k**2 - 8*k. Let v be r(8). Suppose -y - y + 20 = v. Calculate the remainder when 18 is divided by y.
8
Let w(n) = n**3 + 10*n**2 + 7*n - 2. Calculate the remainder when 189/6 - (-3)/(-6) is divided by w(-9).
15
Let c(j) = j + 14. What is the remainder when 10/(-50) - 76/(-5) is divided by c(-6)?
7
Let q(g) = g + 7. Let d be q(-5). Suppose 8*h - 34 = -4*u + 3*h, -5*u + 26 = -d*h. Let w = 166 + -149. Calculate the remainder when w is divided by u.
5
Let c = -107 - -150. What is the remainder when c is divided by 15?
13
Let b be (-217)/28 + (-2)/8. Let z = 5 - b. What is the remainder when 37 is divided by z?
11
Let a = 103 + -38. Suppose 20 = o + 4*i, -o + 4*i = -i - a. Suppose o = 5*y - 0*b - b, 4*y - 3 = -5*b. Calculate the remainder when y is divided by 3.
1
What is the remainder when ((-17)/(-51))/((-2)/(-426)) is divided by 18?
17
Calculate the remainder when ((-6)/45 + 147/90)*74 is divided by 28.
27
Suppose 82*g = 78*g + 108. Calculate the remainder when g is divided by 12.
3
Suppose 0 = -3*k + 7*k - 4*p - 72, -2*k - 3*p = -61. What is the remainder when k is divided by 12?
11
Let v = -16 + 28. Suppose 3*w + 4 = 19. Calculate the remainder when v is divided by w.
2
Let w = 154 + -135. Calculate the remainder when 35 is divided by w.
16
Let u(i) = i**2 + 3*i - 1. Let y be u(-3). Let w be (2*-3 + 1)*y. Suppose 36 = w*z - 4. What is the remainder when 15 is divided by z?
7
Let j = 4 - 0. Suppose 4*h + 12 = 0, -o + j*o - 5*h - 180 = 0. What is the remainder when o is divided by 19?
17
Let l = 16 - 9. Let j(f) be the first derivative of -f**3/3 - 2*f**2 + 3*f - 2. Calculate the remainder when l is divided by j(-4).
1
Let h(a) = -22*a + 2. Suppose -4*d + 3*k - 41 = -10, -2*d = -3*k + 23. Let l be h(d). Suppose 2*o + l = 7*o. Calculate the remainder when 34 is divided by o.
16
Suppose 3*b + 0*a - 7 = 5*a, 2*b - 5*a = -2. Let y(d) = -d + 2. Let u be y(8). What is the remainder when b is divided by 9 + u - (-1 - 1)?
4
Let p = 36 + -16. What is the remainder when 39 is divided by p?
19
Let j(a) = 9*a - 3. Let t(y) = -5*y + 1. Let h(s) = 2*j(s) + 5*t(s). Calculate the remainder when h(-2) is divided by 7.
6
Suppose 4*y = -67 - 13. Let i be (-88)/(-2)*(-25)/y. Suppose 9*h = 4*h + i. Calculate the remainder when 20 is divided by h.
9
Let z = 23 + -13. Suppose -4*q + z = -66. What is the remainder when q is divided by 7?
5
Let m be (-1)/(-3) - (-133)/(-21). Let g = m - -11. Suppose 5 = g*v - 3*i - 40, -2*i - 26 = -3*v. What is the remainder when 34 is divided by v?
10
Let o = 28 - 9. Let n = 53 + -17. What is the remainder when n is divided by o?
17
Suppose 4*x - 18 = 30. Let w be (-548)/(-16) - (-2)/(-8). Suppose 2*l - w = l. Calculate the remainder when l is divided by x.
10
Suppose 3*b - 67 = -h + 5*h, 26 = b - 5*h. Calculate the remainder when 102 is divided by b.
18
Let b(k) = -k**3 - 7*k**2 - 1. Let g be b(-8). Suppose -2*s + 5*r = -19, -3*s - 4*r + 0*r + g = 0. What is the remainder when 66 is divided by s?
15
Let b(z) = -z**3 + 10*z**2 + z + 11. Suppose 4*t + 20 = 6*t. What is the remainder when b(t) is divided by 11?
10
Let a = 17 - 2. Let m = a - 8. What is the remainder when 25 