 - -8. What is the remainder when 16 is divided by x?
7
Suppose -3*q = -t + 2*q, -2*t - 5*q = -45. Suppose -3*i = -7*i + 172. Calculate the remainder when i is divided by t.
13
Suppose -12 = -55*f + 53*f. What is the remainder when f is divided by 6?
0
Let z(n) = 2*n. Suppose 0 = -2*s - 0 + 2. Calculate the remainder when 8 - (-3)/(-5 - -4) is divided by z(s).
1
Suppose 0 = 5*w + 1 - 16. Suppose 4*z - z - 306 = -w*m, -2*m = -10. Suppose z = 5*y - y + o, -87 = -4*y + o. What is the remainder when y is divided by 8?
7
Suppose 7*w - 8 = 3*w. Suppose -w*r - 3*r + 87 = -4*k, 3*k = -9. What is the remainder when 27 is divided by r?
12
Let w = 256 + -182. Let f(u) = 2*u + 5. What is the remainder when 1/(2/w - 0) is divided by f(4)?
11
Let z(m) = 4*m**2 - 12*m - 16. What is the remainder when z(-5) is divided by 37?
33
Suppose 4 = -a + 2*z, -7*z + 2*z + 15 = -5*a. Calculate the remainder when (-1)/((-3)/21*1) is divided by a/9 + (-87)/(-27).
1
Suppose 14 = 2*h - d, 4*h - 7 = 3*h - 3*d. Suppose -5*u - 3*z = -8, -u + 0*z - 8 = 3*z. Let p = u + 9. Calculate the remainder when p is divided by h.
6
Let p(x) = x**2 - 7*x - 5. Let r(i) = -i**2 + 7*i + 6. Let u = -6 + -1. Let f(h) = u*p(h) - 6*r(h). What is the remainder when 31 is divided by f(3)?
9
Let k = -1 - -2. Let w(g) = g + 1. What is the remainder when w(2) is divided by k?
0
Suppose -3*v + 37 = 2*x, 5*x + v - 22 - 38 = 0. Let o = 4 + 64. Let j = o - 36. Calculate the remainder when j is divided by x.
10
Calculate the remainder when (-4)/16 + 266/8 is divided by 13.
7
Let j be (-24)/14*(-28)/8. Let l be (20/6 + -3)*j. Calculate the remainder when 18 is divided by (6/(-9))/(l/(-21)).
4
Let i = 20 + -10. Let u be i/15 - (-4)/3. Let t = 39 - u. Calculate the remainder when t is divided by 13.
11
Suppose -3*x - 3 = -9. Suppose 25 = 5*f, x*f - 1 = g - f. Calculate the remainder when g is divided by 4.
2
Let k = -1 + 6. Suppose 5*u - 40 = 2*u - k*v, 8 = -2*v. What is the remainder when u is divided by 7?
6
Suppose 5*q + 0*q = 165. Suppose j - 2*c = 29, -5*c - 60 = -2*j - 0*j. Let b = j - 8. What is the remainder when q is divided by b?
16
Let i(u) = -4*u - 10. Let k be i(-3). Calculate the remainder when 14 - (k - (1 + -3)) is divided by 6.
4
Let f(z) = -10*z - z - 24*z. What is the remainder when f(-1) is divided by 9/3 - (-4 - 1)*3?
17
Let h = 238 - 119. What is the remainder when h is divided by 24?
23
Let k(f) be the first derivative of f**2 - 4*f - 3. Let t be k(3). Suppose 10 = t*n - 38. What is the remainder when n is divided by 13?
11
Let d = -15 + 22. Calculate the remainder when 27 is divided by d.
6
Let w = 10 + -4. Let b = 16 + w. What is the remainder when b is divided by (-28)/(-5) - 2/(-5)?
4
Suppose 3*p - 1 = 2*p, -3*w - 23 = -5*p. Calculate the remainder when 13 is divided by -3*(56/w)/4.
6
Let g = 22 + -20. Suppose -g*r + r - 17 = -4*n, 0 = -2*n - 2*r + 6. What is the remainder when 15 is divided by n?
3
Suppose 2*m + m - 264 = 0. Let f = 142 - m. What is the remainder when 25 is divided by f/4 - 7/14?
12
Calculate the remainder when 60 is divided by 6/27 - 316/(-36).
6
Suppose -5*a + 205 = -5*m, a - m = 4*a - 139. Suppose 2*l + a = 5*l. Let d = -10 + l. What is the remainder when 12 is divided by d?
2
Let b(w) = 0 - w**3 + 5*w + 3*w + 4*w**2 - 3. Calculate the remainder when b(5) is divided by (3/9)/(1/21).
5
Suppose 18 = -2*n + 8*n. Calculate the remainder when n/(0 + 2 + -1) is divided by 3.
0
Suppose 0 = 3*t - 3*a - 75, -3*t - 2*a + 70 = t. Calculate the remainder when t is divided by 11.
9
Suppose -8 = -m + 9. Suppose -3*z + 29 = 2. Calculate the remainder when m is divided by z.
8
Let n = 18 - 12. Let s(c) be the first derivative of 3*c**2 - 3*c + 3. What is the remainder when s(n) is divided by 12?
9
Let n be (-6)/2 + 6 + 15. Calculate the remainder when 122/4 - n/(-12) is divided by 9.
5
Let c(n) = -n**2 - 9*n - 4. What is the remainder when 37 is divided by c(-7)?
7
Let i(h) = -2*h. Let s be i(-2). Suppose 5*c + 32 - s = r, -2*r = c - 23. Calculate the remainder when r is divided by (-1)/(2/(-4)) + 3.
3
Suppose 3*a - 143 = 5*j, 0 = -5*a - j + 4*j + 249. What is the remainder when a is divided by 26?
25
Suppose -3*n + 10 = 1. What is the remainder when 10 is divided by n?
1
Suppose 8*d - 3*d = -30. Let z = 10 + d. Calculate the remainder when z is divided by 3.
1
Let f be (-2 + (-1 - -2))*-35. Suppose -4*q - f = -4*x - x, -x = q - 7. Calculate the remainder when 25 is divided by x.
4
Suppose d + 5*h = -23, -h + 31 + 124 = -4*d. Calculate the remainder when 34 is divided by d/(-3) - (-2)/(-3).
10
Let p be -6*(2/(-3) - 0). Let m(j) = j**2 + 2*j - 3. Let t(f) = f**2 - 5*f - 10. What is the remainder when t(10) is divided by m(p)?
19
Let j = -29 + 40. What is the remainder when 96 is divided by j?
8
Calculate the remainder when 14 is divided by (2 - (-18)/(-7)) + 318/42.
0
Suppose 0*w + 4*w = -8. Let r = 4 + 3. Calculate the remainder when r is divided by w*(-2)/2 - -2.
3
Let u(b) = b**3 - 6*b**2 - 2*b + 13. Calculate the remainder when 8/6*12/8 is divided by u(6).
0
Let b = 100 - 61. Calculate the remainder when b is divided by 21.
18
What is the remainder when 4 is divided by 4/1*(-3)/(-4)?
1
Let i(x) = 2*x + 2. Calculate the remainder when 38 is divided by i(4).
8
What is the remainder when 3 is divided by 0 + 0 + (10 - 12) + 3?
0
Let w(o) = o**2 - 8*o - 31. Calculate the remainder when w(-4) is divided by 3.
2
Let m = -41 + 95. Calculate the remainder when 215 is divided by m.
53
Let q(d) = -9*d - 9. Calculate the remainder when q(-5) is divided by 10.
6
Suppose 0*n + 2*o + 7 = n, -n = -4*o - 9. Let h = n + 1. What is the remainder when 22 is divided by h?
4
Suppose -61 = -2*n + 59. Suppose -3*z + n = 2*z. What is the remainder when 46 is divided by z?
10
Suppose 0 = -13*y - 50 + 167. Let l = 5 + -2. Suppose -l*z + 8*z = 80. Calculate the remainder when z is divided by y.
7
Suppose 0 = -4*r - 5 + 1. Suppose -u - 2 = -a, 5*u + 3*a = -2*a - 10. Calculate the remainder when 30*(r/1 - u) is divided by 16.
14
Let p be 2 + 3 + -6 - 16. Let g = -8 - p. Let d = -4 + g. Calculate the remainder when d is divided by 2.
1
Let v(j) = -j**3 + j**2 + j + 9. Let m be v(0). Suppose 4*s - m = 3. Calculate the remainder when 7 is divided by (0 + 12/9)*s.
3
Let x(y) = -5*y. Let v be x(-1). Suppose -v*g = -g - 36. Suppose -b + i = -23, 0 = -0*b + 2*b - 5*i - 40. What is the remainder when b is divided by g?
7
Suppose -2*h + 42 = j, 0*h + 2*j - 44 = -2*h. What is the remainder when 38 is divided by h?
18
Let c be 4/(-6)*3*-1. Suppose -24 = -c*u - 0*u. Calculate the remainder when (-23)/2*2*-1 is divided by u.
11
Suppose -2*t = -m - 79, -3*m - 2*t - 200 = 61. Let g = -58 - m. Suppose 5 = -8*d + 3*d, 0 = 5*z + 5*d - 65. What is the remainder when g is divided by z?
13
Suppose 3*d + 0 = -3*v + 6, d + 3 = 0. Let w be 1 + 0 - (-7 + 5). Let l(y) = -y**2 + 7*y - 4. Calculate the remainder when l(w) is divided by v.
3
Calculate the remainder when 1 - (2 + -1) - -107 is divided by 11.
8
Suppose 0 = 4*q - 0 + 4. Let h(r) = -20*r**3 - 2*r**2 + 1. Let t = 8 + -1. What is the remainder when h(q) is divided by t?
5
Let v(r) = -4 + 2*r - 3*r**2 + r**3 - 2*r**2 - 6*r. Suppose 2*j - 46 = -3*o, 0*j - 92 = -4*j - 3*o. Calculate the remainder when j is divided by v(6).
7
Let a(q) = -2*q + 1. Let g be a(-2). Suppose -r - g*k - 13 = 0, -3*k - 15 = 2*r - 5*r. Calculate the remainder when 14 is divided by 2 - -2 - r/(-2).
4
Let m = 206 - 132. What is the remainder when m is divided by 19?
17
Let p(a) = -a**2 + 43. Let b be (-3)/1 + 7 + -4. Calculate the remainder when p(b) is divided by 15.
13
Let v = -7 + 16. What is the remainder when 26 is divided by v?
8
Suppose -4*d + 439 - 95 = 0. Let a(y) = 3*y**3 + 2*y**2 - 2*y + 1. What is the remainder when d is divided by a(2)?
28
Let x(q) = 10*q**2 - q + 1. Let j = 3 + -4. Calculate the remainder when x(1) is divided by j + 6 - (-11 - -12).
2
Suppose 31 = 2*s - 73. What is the remainder when s is divided by 11?
8
Suppose -q - q + 14 = 0. Let t = q + -3. Suppose -2*n = i - 27, 4*i - 47 = -2*n - i. What is the remainder when n is divided by t?
3
Let t(x) = -x**3 + 6*x**2 - 3*x + 5. Let j be t(4). Suppose -j = -5*s - 0*s. Calculate the remainder when 7 is divided by s.
2
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