Suppose d = 2*f + 2*f + 24, -2*f = -3*d + 72. Calculate the remainder when 95 is divided by d.
23
Let c(o) = -3*o**3 + 0*o**3 + 4*o**3 - 2. Calculate the remainder when c(2) is divided by 4.
2
Suppose 4*p - 4*c = 28, -2*p + c = -5*p + 29. Calculate the remainder when p is divided by 4.
1
Let a = -7 + 14. Let u(r) = -2*r + 1. Let y(d) = -d - 4. Let f be y(-3). What is the remainder when a is divided by u(f)?
1
Let u = 21 - -7. What is the remainder when 109 is divided by u?
25
Let a(d) = d**3 + 2*d**2 - 4*d - 3. Let m be a(4). Suppose 0 = -c + 3*f + 9, f + m = 5*c + 2*f. Calculate the remainder when 28 is divided by c.
13
Let g = 0 - -2. Let l(r) = -r**2 + r + 2. Let h be l(g). Let x = 2 + h. Calculate the remainder when 5 is divided by x.
1
Suppose 14 = t - 13. Calculate the remainder when (-2)/8 + 1065/20 is divided by t.
26
Suppose -3*d = -8*d. Suppose d*f = -2*f - 30. Calculate the remainder when 5 is divided by (-2)/4 + f/(-6).
1
Suppose -2*s = -g, -2*s - 28 = -5*g - 6*s. Let v = g + 0. Suppose n = 3*w - 59, 3*n - v = 5*n. What is the remainder when w is divided by 10?
9
Suppose -r + 28 = r. Suppose -33 = -5*z - 13. Suppose z*b - 5*b = -53. What is the remainder when b is divided by r?
11
Let w = -25 - -67. Calculate the remainder when w is divided by 15.
12
Suppose l + 0 + 99 = 3*f, -2*l + 40 = f. Suppose 4*k + 5*g = 53, -3*k + 0*g = -g - 35. Calculate the remainder when f is divided by k.
10
Suppose 2*n = 30 - 206. What is the remainder when (n/10)/((-4)/20) is divided by 15?
14
Suppose 9*g - 46 - 17 = 0. What is the remainder when 9 is divided by g?
2
Let s(j) = j**2 - 10*j - 39. Calculate the remainder when 3/(-2)*(-45 - -1) is divided by s(14).
15
Let l(r) = -r. Let g = 14 - -14. Calculate the remainder when g is divided by l(-10).
8
Suppose 4*l = 2*t - 0*l - 12, -5*t + 4*l + 36 = 0. Suppose 16 = -5*q + 2*r + 91, 4*q = 5*r + 60. What is the remainder when q is divided by t?
7
Let w(y) = y**2. Let a = -5 + 10. What is the remainder when a is divided by w(2)?
1
Suppose 20*k - 40 = 19*k. What is the remainder when k is divided by 24?
16
Let f(r) = -15*r**3 - r**2 - 2*r - 1. Let s be (1/((-2)/(-2)))/(-1). Let i be f(s). Suppose 0 = -3*w - i + 60. What is the remainder when w is divided by 4?
3
Suppose 24 = 6*v - 5*v. Let x = -18 + 63. What is the remainder when x is divided by v?
21
Let o = -6 + 11. Let j = 13 - o. Suppose z - 33 = -j. What is the remainder when z is divided by 9?
7
Let g = 214 - 124. Suppose 0 = a, -4*u + g = u - 5*a. What is the remainder when 51 is divided by u?
15
Let o be 55/(-2)*(-8)/(-10). What is the remainder when (o/(-6))/(1/12) is divided by 15?
14
Suppose 0 = 3*u - 8*u - 15, 0 = 3*q - 4*u + 6. Let w = 11 + q. Suppose w*t - 14 = 26. Calculate the remainder when t is divided by 3.
2
Suppose 0 = -2*i + 6*i - 8. Suppose -4*b = -i*b - 22. What is the remainder when 32 is divided by b?
10
Suppose 3*h + 1 = 2*h - 3*w, -5*h + 8 = 2*w. Suppose 2*f + 4*a = 134, 6*f - f - h*a - 299 = 0. What is the remainder when f is divided by 16?
13
Suppose 0*w = -3*w + 48. Calculate the remainder when 79 is divided by w.
15
Suppose 5*m + 3*w = m + 108, 0 = 4*m + 4*w - 108. Let o = 52 - m. Calculate the remainder when o is divided by 9.
7
Let p = 162 - 97. Calculate the remainder when p is divided by 27.
11
Let b(q) = q**3 + 2*q**2 + 2*q + 3. Let m be b(-4). Let v = m - -54. Calculate the remainder when 31 is divided by v.
14
Suppose -2*c - 2*c + 8 = 0. Suppose 3 = -c*u + 17. Suppose 2*h - 2*i - 4 = 0, 3*h - i + 7 = 5*h. What is the remainder when u is divided by h?
1
Suppose 3*a - 2*x = 12, a - 24 = -2*a - 2*x. Suppose -6 = -3*o - 3. Calculate the remainder when (-1 - o)*11/(-2) is divided by a.
5
Let i(u) = 3*u + 1. What is the remainder when i(2) is divided by 5?
2
Suppose 2*o = 4*s + 26, -3*o - 5*s - 23 = -106. What is the remainder when o is divided by -5 - (-5 + 0 + -6)?
3
Let s be (3 - 3 - -27) + 2. What is the remainder when s/2 + (-3)/6 is divided by 5?
4
What is the remainder when 7 + -2 + 1377/17 is divided by 30?
26
Suppose 3*f - 82 = 137. Let l = -9 - -12. Suppose f - 13 = l*z. What is the remainder when z is divided by 11?
9
Suppose -x = x + 4. Let a = 13 - 4. What is the remainder when (x - -1)*(-1 + -15) is divided by a?
7
Suppose -10*w = -14*w + 356. What is the remainder when w is divided by 24?
17
Let q = -18 + 33. Calculate the remainder when 72 is divided by q.
12
Let f(y) = -3*y - 22. What is the remainder when 81 is divided by f(-12)?
11
Let o = 2 - -10. Let r(a) = -22*a**3 - a**2 - a. What is the remainder when r(-1) is divided by o?
10
Let g = -2 + 14. What is the remainder when g is divided by 4?
0
Let b(x) = x + 12. Let d be b(-7). Suppose 68 = -z + d*z. What is the remainder when 65 is divided by z?
14
Suppose 3*g = -g. Suppose 2*s - 3*s + 31 = g. Suppose 0 = -2*m - 2*m + 44. Calculate the remainder when s is divided by m.
9
Suppose -5*q + q + 36 = 0. Let r = 57 - 32. Calculate the remainder when r is divided by q.
7
Let n(g) = -4*g - 15. Calculate the remainder when 53 is divided by n(-6).
8
Let g be (10/3 + -2)*-6. Let k = g + 18. What is the remainder when 18 is divided by k?
8
Let w(l) = l**2 - 2*l - 3. Let y be w(-7). Suppose -3*t + 5*d = -36, -5*t + 4*d + y = d. Calculate the remainder when 21 is divided by t.
9
What is the remainder when 26 is divided by (5/1)/5*10?
6
Let s(x) = 3*x + 38. Calculate the remainder when 27 is divided by s(-10).
3
Suppose -2*t + 3*x = t - 66, x = 0. Let j(v) = -v**3 - 2*v**2 + 2*v + 3. What is the remainder when t is divided by j(-3)?
4
Let y = 15 + -12. Calculate the remainder when 7 is divided by y.
1
Calculate the remainder when 18 is divided by 10*(68/20 - 3) - -4.
2
Let v(a) = 22*a - 6. Calculate the remainder when v(4) is divided by 6/5*35/2.
19
Suppose -4*r + 28 = -2*r - 4*k, -70 = -5*r - 5*k. Suppose 0*v - 50 = -2*v. What is the remainder when v is divided by r?
11
Let j = 113 + -101. Calculate the remainder when 78 is divided by j.
6
Let z(r) be the first derivative of -r**4/4 - 2*r**3 - 2. Let h be z(-6). Suppose 200 = 5*w - h*w. What is the remainder when w is divided by 14?
12
Suppose 4*g - 26 = 2*h, 2*h + g = 3*g - 36. Let b = -3 - h. Calculate the remainder when 79 is divided by b.
19
Let t be 1*(1 + 1*-16). Let c = t + 26. Calculate the remainder when 21 is divided by c.
10
Let y(r) = -r**3 - 12*r**2 - 13*r + 8. Calculate the remainder when y(-11) is divided by 17.
13
Suppose 12 = 6*d - 2*d. Suppose d*g = -5*y + 14, 2*g - 2 = -2*y - g. Calculate the remainder when 27 is divided by (-1 + -2)/(y/(-20)).
12
Let u be 65/15 - 2/(-3). Suppose u*p + 6 = 8*p. Let x(r) = r**3 - r**2 - 2. Calculate the remainder when p is divided by x(2).
0
Let x = 75 - 48. What is the remainder when x is divided by 7?
6
Suppose 0 = -k - k + y + 21, -3*y = 5*k - 36. Suppose 0 = -0*i + 4*i - 16. What is the remainder when k is divided by i?
1
Let v = 39 - 27. What is the remainder when 47 is divided by v?
11
Suppose 3*g + 810 = 5*t, -4*g + 176 = 2*t - 122. What is the remainder when t is divided by 40?
39
Suppose 0 = -2*a + 40 - 4. What is the remainder when 33 is divided by a?
15
Let k(v) = -v**2 + 3*v. Let a be k(5). Let l = -26 + 54. What is the remainder when l is divided by (-104)/a + 4/(-10)?
8
Let b(n) be the second derivative of n**3/3 - 7*n**2/2 + n. Calculate the remainder when b(9) is divided by 4.
3
Suppose -2*h - 4*c + 27 = -9*c, 3*h + 5*c - 28 = 0. Calculate the remainder when 30 is divided by h.
8
Let q = -4 - -15. Let r = 24 - q. Calculate the remainder when 50 is divided by r.
11
Suppose -3*s - m = -14, -3*m + 2 = 3*s - 8*m. Let z = 25 + -16. Suppose s*g - 3 = z. What is the remainder when 7 is divided by g?
1
Let h(t) = -t**2 - 7*t + 2. Let w be h(-9). Let b = w - -27. What is the remainder when b is divided by 7?
4
Let p = 66 + -57. What is the remainder when 20 is divided by p?
2
Suppose 324 = 4*r - 0*r. Suppose 291 = 3*f - 5*o + o, -f = 4*o - r. What is the remainder when f is divided by 24?
21
Suppose 0 = l - 0*l - 46. What is the remainder when l is divided by 3?
1
Suppose -v + m - 10 + 53 = 0, 5*m + 20 = 0. What is the remainder when 150 is divided by v?
33
Suppose 0*t = -2*t + 10, 0 = -5*v - 2*t + 60. Calculate the remainder when v is divided by 3.
1
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