 divided by 19.
14
Suppose 15*j - 20*j + 25 = 0. What is the remainder when 12 is divided by j?
2
Suppose -105 = -5*p - 2*n, -2*p = 8*n - 4*n - 42. Calculate the remainder when p is divided by 6.
3
Let u be 44*3/(2 + -8). Let v = -3 - u. Let l(g) = 3*g + 3. What is the remainder when l(11) is divided by v?
17
Suppose b - 3*b + 8 = -3*i, 2*i = 4*b - 24. Calculate the remainder when b is divided by (-2)/(-6) - (-11)/3.
3
Let a(v) = 5*v**2 + 3*v - v**2 + 2 + 1 - v. What is the remainder when a(-3) is divided by 12?
9
Let x be 1*(-4)/(16/(-124)). Let t = x - 14. What is the remainder when 48 is divided by t?
14
Calculate the remainder when ((-6)/(-4))/(18/48) is divided by (-12)/(-8)*8/6.
0
Suppose -3*y + 103 = s, -y = 6*s - 11*s - 61. Calculate the remainder when y is divided by -1 - (-2 + (-24)/2).
10
Let t be (-4)/6 + 28/6. Let p(q) = 6*q - 24. Let o be p(7). Suppose 10 + o = t*n. Calculate the remainder when 19 is divided by n.
5
Suppose 2*n = -19 + 53. Calculate the remainder when n is divided by 6.
5
Let r be (-28)/(-10) + 2/10. Suppose -r*b = 64 - 28. What is the remainder when (-8)/b + 188/6 is divided by 17?
15
Let w(f) = 4*f**2 + 4*f + 3. Let d be w(-2). Let a = 13 - d. What is the remainder when 2 is divided by a?
0
Suppose 3*u = 7*u - 4*v - 172, 77 = 2*u - 5*v. Let s = u + -24. What is the remainder when 87 is divided by s?
21
Let t = 134 - 130. Let w(y) = -y. Calculate the remainder when w(-7) is divided by t.
3
Let s be (-4)/2*(-1 + 2). Let y = s - -8. Suppose 3*f - 7 = 5*u - 31, u + 3*f + y = 0. What is the remainder when u is divided by 2?
1
Suppose 0 = -i + 4*i - 129. Calculate the remainder when i is divided by 11.
10
Let i(n) = -2*n. Suppose 0 = -d - 2*d + 6, 5*y - 2*d - 21 = 0. Calculate the remainder when i(-4) is divided by y.
3
Let s(k) = -179*k - 5. Let m(x) = -60*x - 2. Let b(y) = 11*m(y) - 4*s(y). Calculate the remainder when b(2) is divided by 28.
26
Suppose 2*a = a + 2*u + 24, a - 4*u = 26. Let n = -15 + 102. What is the remainder when n is divided by a?
21
Let s(n) = -n**3 + 2*n**2 - 2. Let o be s(3). Let v = 9 - o. Let y = 6 + 5. Calculate the remainder when v is divided by y.
9
Let u(w) = 7*w**2 + w + 4. What is the remainder when u(3) is divided by 24?
22
Let w = 234 + -210. Suppose 2 - 7 = -s. What is the remainder when w is divided by s?
4
What is the remainder when 110 is divided by -3 + 248/(-12)*9/(-6)?
26
Suppose 83 = 8*t + 3. Suppose 0 = 3*l - 10 - 101. Calculate the remainder when l is divided by t.
7
Let m(r) = -r**2 - 17*r - 6. Let k be m(-12). Suppose 0*i - k = -2*i. What is the remainder when 105 is divided by i?
24
Suppose -5*m = -0*m - 15, -4*m = -s - 10. Let z = -11 - -21. Calculate the remainder when 3/((12/z)/2) is divided by s.
1
Let u = -47 + 67. Suppose 4*j - 36 = -0*j + 2*m, 40 = 4*j - 3*m. Suppose 2*a = j*a - 3*q - 20, 3*q - 8 = a. What is the remainder when u is divided by a?
6
Suppose -6 = -5*w + 2*w. Suppose -3*g - 47 = 2*q - 6*q, 2*g = -q + 9. What is the remainder when 438/14 - w/7 is divided by q?
9
Let u be (19/2)/(3/12). Suppose 0 = -5*j + u + 62. What is the remainder when 58 is divided by j?
18
Let z = -37 - -49. Let k = -36 - -71. What is the remainder when k is divided by z?
11
Let w be (-26)/(-6) + 2/(-6). Let x = w + -2. Suppose 3*r - x*k = 27, -r - k - 2*k = -9. Calculate the remainder when r is divided by 5.
4
Let v = -18 - -28. Let s(x) = x**3 + 4*x**2 + x + 4. Let a be s(-4). Calculate the remainder when a/((-3)/(-3)) - -28 is divided by v.
8
Let y(f) = -f**3 - 15*f**2 + 13*f - 22. What is the remainder when y(-16) is divided by 14?
12
Let m = 3 - -5. Let s = m - -2. Calculate the remainder when 29 is divided by s.
9
Suppose 0*i + 115 = -5*i. Calculate the remainder when 11 is divided by (-8)/28 - i/7.
2
Suppose 0 = 5*b - 3*b + 48. Calculate the remainder when 21 is divided by (b/(-9))/(2/3).
1
Let z = 7 + -7. Suppose 4*c - 2 = 2*t, -3*t + z*t = 5*c + 14. Calculate the remainder when ((-19)/t)/(2/6) is divided by 10.
9
Let g(j) = j**2 + 8*j - 6. Suppose 0 = -3*m + 5*n + 15 + 15, m + 2*n = -1. Calculate the remainder when g(m) is divided by 20.
19
Suppose 5*a = 8*a - 39. Let j be (0 + 2/(-3))*-3. Suppose y - 188 = -0*l - 5*l, -194 = -5*l + j*y. Calculate the remainder when l is divided by a.
12
Let s = 61 - 14. What is the remainder when s is divided by 17?
13
Suppose 30*k - 517 = 653. Suppose 5*n = 2*x + x - 437, x = 5*n + 129. What is the remainder when x is divided by k?
37
Let a = -11 - -17. Suppose -a*n + 3*n = -27. What is the remainder when 66 is divided by (3/n)/(2/102)?
15
Suppose 0 = -3*r + 7*r - 148. Let p = 75 - r. What is the remainder when p is divided by 10?
8
Let z be -6*((-3)/(-9))/(-1). Suppose z*u + 2*u - 8 = 0. What is the remainder when 6 is divided by u?
0
Let v = 9 + -8. Suppose 33 = o - 5*s, -8*s + 4*s = 2*o - 136. Calculate the remainder when o is divided by 19*v + 5/5.
18
Suppose 5*g - 1 + 11 = 0. Let u(y) be the third derivative of -5*y**4/24 - y**3/2 + 4*y**2. What is the remainder when 20 is divided by u(g)?
6
Suppose -5*x + 4*m + 40 + 222 = 0, -194 = -4*x - 2*m. Let g(z) = -2*z + 6. Let d be g(6). Let i = d - -23. Calculate the remainder when x is divided by i.
16
Let j = 30 + -8. Calculate the remainder when 39 is divided by j.
17
Let f(w) = 24*w**2 - w - 1. Let h = -25 - -120. Calculate the remainder when h is divided by f(-1).
23
Let m(q) = 2*q + 2. Let w be m(-13). Let t = -13 - w. What is the remainder when 41 is divided by t?
8
Let d(w) = 2*w**3 - 2*w**2 - 2*w. Let f be d(5). Suppose -4*z + f = z. What is the remainder when z is divided by 20?
18
Let v = -20 + 55. What is the remainder when v is divided by 9?
8
Let i(r) = r**2 + 6*r - 3. Let v be i(-6). What is the remainder when (-3 - v) + 19 + -4 is divided by 9?
6
Suppose -n - 4*b + 61 = 0, 2*b + 0 + 155 = 3*n. Calculate the remainder when n is divided by 19.
15
Suppose 4*v - 11 = -5*u, 0 = 2*v + 3*v - 4*u - 24. Suppose -2 - 26 = -2*o - d, 0 = v*o - 5*d - 42. What is the remainder when o is divided by 3?
1
Suppose 4*b - s = 195, s = 3*s - 2. Let v(z) = z**2 + 3*z - 5. Calculate the remainder when b is divided by v(-6).
10
Suppose -2*j + 9 - 51 = 0. Let y = j - -30. Suppose -3*w - y = 3*t - 51, 4*w + 79 = 5*t. Calculate the remainder when 28 is divided by t.
13
Suppose 41 = 4*a - 5*w, a - 8 - 5 = 4*w. What is the remainder when 68 is divided by a?
5
Suppose -527 = -5*h + 8. Let j(b) = b**2 - 3*b - 1. Calculate the remainder when h is divided by j(-4).
26
Let t = -18 + 46. Calculate the remainder when 6/((-3)/t*-2) is divided by 10.
8
Suppose -2*v - 4*f + 8 = -v, 2*v = 4*f + 16. What is the remainder when 14 is divided by v?
6
Let p = 86 - 52. What is the remainder when p is divided by 24?
10
Let h be (-1)/(21/(-9) + 2). Suppose h*s - 135 = -2*s. What is the remainder when s is divided by 15?
12
Let y(a) = -a**2 + 22. Let z(s) = -s + 11. Let t be z(11). Calculate the remainder when y(t) is divided by 8.
6
Let m be (-71 - 1)/((-10)/15). Suppose 3*d - m = d. What is the remainder when d is divided by 14?
12
Suppose -16*y - 107 = -2379. What is the remainder when y is divided by 16?
14
Suppose 13 = o - 11. What is the remainder when 43 is divided by o?
19
Suppose -o + 7 = -12. Calculate the remainder when 67 is divided by o.
10
Suppose 0 = b + 3, 5*g - 292 + 80 = -b. Calculate the remainder when 214 is divided by g.
42
Let v = -2 + 5. Suppose 7 - 3 = 2*q, u - q + v = 0. Let x = u - -33. Calculate the remainder when x is divided by 11.
10
Let m be ((-11)/(-3))/((-4)/12). Let l = -7 - m. Suppose -3*d + 2 + 7 = 0. Calculate the remainder when l is divided by d.
1
Suppose -2*i = -14 + 6. Suppose 5*g - 13 = r - 34, 5*r - 63 = 4*g. What is the remainder when r is divided by i?
3
Let q = 2 + -1. Suppose 3*r - 7 + q = 0. Calculate the remainder when r is divided by 1.
0
Let b(u) = 2*u**3 - 2*u**2 - 7*u - 1. What is the remainder when 27 is divided by b(3)?
13
Suppose 35 = 4*u - 21. Suppose 4*l - 36 = c - 6*c, 3*l + 11 = c. Calculate the remainder when u is divided by c.
6
Let z(p) = 16*p**3 + 1. Let d be z(1). Suppose 0*o - 4*o = 3*u - d, -4*o + 11 = u. Suppose 0 = -6*r + 43 - 19. Calculate the remainder when r is divided by o.
0
Calculate the remainder when 31 is divided by 164/20 + (-4)/20.
7
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