Suppose 3*x + 197 = 4*x. Calculate the remainder when x is divided by 33.
32
Suppose -106 = -2*u + s, u - 40 = -5*s + 13. Calculate the remainder when u is divided by 14.
11
Let x = -41 - -20. Let t = x + 27. Calculate the remainder when t is divided by 4.
2
Let w be (-92)/(-22) - 4/22. Suppose -w*j + 116 = -0*j. What is the remainder when j is divided by ((-6)/(-8))/(3/60)?
14
Let a be 72/(-27) + 2/(-6). Let i(p) = 2*p**2 + 2*p - 3. What is the remainder when i(a) is divided by 4?
1
Let c = -127 + 141. What is the remainder when c is divided by 8?
6
Let s(o) = -9*o + 2. What is the remainder when s(-3) is divided by 17?
12
Suppose o + 20 = 5*o. Let h(t) = -o*t**2 - 4 + 0 + 0 - t**3. Calculate the remainder when h(-6) is divided by 17.
15
Let f(y) = -y**3 + 5*y**2 + 6*y + 5. Let v be f(6). Suppose 123 = v*q - 52. What is the remainder when q is divided by 18?
17
Suppose f - 16 = -3*w, -4 = 2*f - 4*w + 4. Suppose f*u = c + 2*c + 1, 4*u - 5 = -c. Let l = 1 + 0. What is the remainder when c is divided by l?
0
Suppose -4*v = -a - 409, 480 = -5*v + 10*v + 5*a. What is the remainder when v is divided by 21?
17
Let f be 2/(-5) + 44/10. Suppose -w + 2 - f = 0. Calculate the remainder when 19 is divided by 10 + (w - -2 - 0).
9
Suppose -49*v - 280 = -56*v. What is the remainder when 159 is divided by v?
39
Suppose -5*w - 8 = -3*w, 5*q - 4*w = 41. Let o be (-9)/(-15)*(-7 + 2). Calculate the remainder when q is divided by (3 - (o + 3)) + 0.
2
Let t(g) = g - 3. Let p be t(5). Suppose 0 = p*m + 4*r - 48, 4*m - 2*m = -r + 33. Calculate the remainder when 25 is divided by m.
11
Let l(h) = -h**3 - 7*h**2 + 8*h + 12. Let w(k) = k**2 - k - 7. What is the remainder when w(-6) is divided by l(-8)?
11
Suppose 4*z - 39 = 5. Calculate the remainder when z is divided by 6.
5
Let j = 265 + -148. Let t = j + -45. What is the remainder when t is divided by 25?
22
Let l = -15 - -30. What is the remainder when 6/l - 53/(-5) is divided by (6/4)/((-12)/(-32))?
3
Let q = -46 - -61. What is the remainder when 55 is divided by q?
10
Let i(x) = -x + 43. Suppose -4*g - 4*q = -64, 4*g - 7*q = -3*q + 24. What is the remainder when i(0) is divided by g?
10
Suppose 3 = -t + 4*t. Let g(h) = h**2 + 7*h + 1. Let x be g(-7). Calculate the remainder when 3 + x/(2 + -3) is divided by t.
0
Let q(m) = m**2 - 9*m + 2. Let g be q(9). Suppose -g*s + 4*s = 0. Let y(u) = -u**2 - u + 17. What is the remainder when 50 is divided by y(s)?
16
What is the remainder when (-332)/(-20) - (-6)/15 is divided by 6?
5
Let h(i) = 29*i + 2. Calculate the remainder when 122 is divided by h(1).
29
What is the remainder when 51 is divided by 460/36 + (-4)/(-18)?
12
Suppose 0 = -o - 4*o - 4*z + 85, -4*o + 5*z = -27. Let b = o + 15. Calculate the remainder when b is divided by 2 - 3 - 33/(-3).
8
Suppose 5*d + 2*m - 50 = 0, d + 4*m - 8 - 2 = 0. Let w(x) = -x**2 + 11*x - 9. Let r be w(d). Calculate the remainder when 17 is divided by (-33)/(-3) - 2/r.
8
Calculate the remainder when -4*2/4*(2 - 43) is divided by 206/10 + (-4)/(-10).
19
Calculate the remainder when (-16)/(-8)*(-98)/(-4) is divided by 17.
15
Let z = 82 + -35. What is the remainder when 186 is divided by z?
45
Let v = 13 + 12. What is the remainder when 97 is divided by v?
22
Suppose 3*b + 7 = 19. Suppose 2*a - b*a = -6. Calculate the remainder when 5 is divided by a.
2
Suppose 4*i - 38 = -b, -3*b + 19 = 2*i - 65. Calculate the remainder when b is divided by 7.
5
Suppose -2*v + 3*l - 12 = 0, -3*l = -0*v + 2*v - 12. Suppose v = i + i - 42. Calculate the remainder when i is divided by 6.
3
Suppose 6*u - 226 = 92. Calculate the remainder when u is divided by 14.
11
Calculate the remainder when 23 is divided by (12/2 + -4)*3.
5
Suppose 0*l - 99 = -2*l - n, 0 = -4*n + 12. Calculate the remainder when l is divided by 13.
9
Suppose 0*a + 134 = a. What is the remainder when a is divided by 27?
26
Suppose -s = 4*r - 45, -s - r + 4*r = -38. Calculate the remainder when 121 is divided by s.
39
Let c be ((-2)/(-3))/((-3)/(-9)). Let i(h) = 12*h**2 + 2*h. What is the remainder when i(c) is divided by 11?
8
Let c = -52 - -79. What is the remainder when 53 is divided by c?
26
Suppose 2*c = 4*c - 24. Calculate the remainder when c is divided by 7.
5
Calculate the remainder when 49 is divided by (-2)/(-7) - (430/(-14) + 3).
21
Let v be (1/(-3))/((-4)/48). Suppose -v*x + l = -290 - 25, l = 3*x - 236. Calculate the remainder when x is divided by 27.
25
Let l = -162 - -234. Calculate the remainder when l is divided by 15.
12
Suppose -u = -7 + 1. What is the remainder when 17 is divided by u?
5
Let n = -25 + 41. Let l = 27 + n. What is the remainder when l is divided by 11?
10
Let o = 9 - -56. Let z = o + -35. Suppose -5*u = -2*u - z. Calculate the remainder when 19 is divided by u.
9
Let g(y) = -5*y - 12. What is the remainder when 20 is divided by g(-4)?
4
Suppose 5*a - 4*a - 26 = 2*s, 4*a - 5*s - 104 = 0. What is the remainder when a is divided by 14?
12
Suppose -12 = l + 2*l. Let d = l + 22. What is the remainder when 35 is divided by d?
17
Suppose -2*q + 63 + 68 = -5*l, -q + 4*l = -73. Let g = 93 - q. Calculate the remainder when (1 + g - 2) + 1 is divided by 21.
19
Let b(o) be the third derivative of -o**5/60 + 3*o**4/8 - o**3/2 - 3*o**2. What is the remainder when 33 is divided by b(4)?
16
Suppose -3*p + o = -123, 0 = p - 4*o - 0*o - 30. Calculate the remainder when p is divided by (3 - -19)/(1*2).
9
Let y(g) = -g + 14. What is the remainder when 47 is divided by y(8)?
5
Suppose -6*s + 2*s = 60. Let i = 0 + s. What is the remainder when (-44)/(-3) - (-10)/i is divided by 5?
4
Let q be (-6)/(-4)*14/(-21). Let o = -47 - -84. Calculate the remainder when o is divided by (-23 - -4)/(-2 - q).
18
Suppose -4 + 40 = 2*t. Calculate the remainder when t is divided by 5.
3
Let k = -2 + 39. Calculate the remainder when k is divided by 20.
17
Let l(b) = -2*b - 6. Let y be l(-6). Let j = 10 - y. What is the remainder when (-224)/(-22) + 8/(-44) is divided by j?
2
Let y(n) = -n**2 + n + 11. Calculate the remainder when y(0) is divided by 8.
3
Let f(g) = -4*g + 1. Let h be (-2)/(-3) + 273/9. Let a = h - 18. What is the remainder when a is divided by f(-1)?
3
Suppose 0*f = -4*f. Calculate the remainder when 46 + (-2 + 1)*f is divided by 24.
22
Let k(f) = -f. Let p be k(-3). Suppose -4*s + 19 = o, -p*s + 15 = 2*s + 3*o. Suppose -s*v + 5*v + 43 = 0. Calculate the remainder when v is divided by 22.
21
Let l(g) = -2*g**2 - 6*g. Let x be l(-5). Calculate the remainder when (-8)/(-20) - 752/x is divided by 10.
8
Suppose -5*m + 65 = -0*m. What is the remainder when m is divided by ((-6)/(10 + -7))/(2/(-4))?
1
Suppose 0 = -4*q + 12 - 4. Let h(z) = -2 - z - z + z**2 + 4*z**2 - 3*z**2. What is the remainder when h(q) is divided by 2?
0
What is the remainder when 13 is divided by (-26)/(-6) - 2/6?
1
Suppose 4*c = 5*f + 25, -3*f + 39 = 3*c - 0*f. Suppose 3*a - 2*q - 2 = 0, -2*a + q + 7 = a. Calculate the remainder when c is divided by a.
2
Let h = 3 + -2. Let s = 4 - h. Let l = 1029 + -1021. Calculate the remainder when l is divided by s.
2
Let a be (15 - 17)/((-4)/186). Let z = a - 54. What is the remainder when z is divided by 2/(-7) - (-200)/14?
11
Let a(h) = -h + 56. Suppose 0 = 2*j - 31 + 11. Suppose 48 = 2*r + j. What is the remainder when a(0) is divided by r?
18
Let u(j) = j**2 - 6*j + 15. What is the remainder when u(6) is divided by 8?
7
Suppose -5 = -5*u - 0. Calculate the remainder when (-180)/(-3) + 0 + u is divided by 16.
13
Let o(c) = 2*c**2 - 5*c. Let k be o(4). Let z = k + 12. What is the remainder when 47 is divided by z?
23
Let v(j) = j**3 + 7*j**2 + 3*j - 2. What is the remainder when v(-5) is divided by 18?
15
Let f(u) = -6*u - 19. Calculate the remainder when 44 is divided by f(-7).
21
Suppose 0*m - 4 = -2*m. Suppose p - 2*j = -1, -6*j + 7 = m*p - j. What is the remainder when 49 is divided by p*19 + 2/(-1)?
15
Let z = 24 - -9. What is the remainder when z is divided by 9*(8/(-12) + 2)?
9
Let n(c) = -16*c - 62. Suppose 5*g - 4*s = 336, 5*g + 133 = 5*s + 468. Calculate the remainder when g is divided by n(-5).
14
Let f = -43 - -52. Calculate the remainder when (9/6)/(1/22) is divided by f.
6
Suppose 5*g = 85 - 0. Suppose -4*d - 4*m + m + 27 = 0, 2*d + 5*m - 3 = 0. What is