m + 568, 5*n - m = 2785. Calculate the remainder when n is divided by 183.
9
Let a(n) = -n + 144. Calculate the remainder when a(23) is divided by 32.
25
Suppose 12*m - 35 = 11*m. Suppose -3*r + 2*r + 13 = 0. What is the remainder when m is divided by r?
9
Let p = 72 - 38. Suppose -67*r = -64*r - 300. Calculate the remainder when r is divided by p.
32
Let g(m) = 2*m. Let b(d) = -2*d**3 - 13*d**2 + 7*d + 7. Let s be b(-7). Suppose s*v = 4*v + 141. What is the remainder when v is divided by g(5)?
7
Let j(g) = -g**3 - 29*g**2 - 140*g + 26. Calculate the remainder when j(-23) is divided by 3.
0
Let r be (-1989)/18 - (-1)/2. Let b = r + 159. Calculate the remainder when b is divided by 13.
10
Let o(a) = 20*a - 93. What is the remainder when o(9) is divided by 23?
18
Let k(s) = -2*s**2 + 14*s + 9. Calculate the remainder when 52 is divided by k(7).
7
Suppose -2*c = 2*v - 42, 0 = 3*v + c - 18 - 47. What is the remainder when 307 is divided by v?
21
Suppose -17*s = -16*s - 36. What is the remainder when 250 is divided by s?
34
Suppose 57 = -58*v + 61*v. Let b(x) = -x**3 - 3*x**2 - 2*x - 1. Let g be b(-1). Let t(y) = 75*y**2 + y. What is the remainder when t(g) is divided by v?
17
Let g be 1/6 - (28/24 + -3). Suppose -g*k + 5*j = -137, 0 = 4*k - j + 2*j - 241. Calculate the remainder when k is divided by 9.
7
Let h = 13 + -6. Suppose h*n - 620 = -3*n. Calculate the remainder when n is divided by 22.
18
Suppose 0*o + 27 = -o - 5*x, 2*o + 12 = 4*x. Let b = o + 36. Calculate the remainder when 95 is divided by b.
23
Suppose -261*a = -256*a - 50. What is the remainder when 67 is divided by a?
7
Suppose 0 + 0 = -11*h. Suppose l + h*l + 4*y = 33, 33 = l - y. What is the remainder when l is divided by 17?
16
Suppose 57*g = 4*o + 54*g - 21, 2*o - 8 = 4*g. Calculate the remainder when 64 is divided by o.
4
Let l(x) = 9*x**3 - 1. Let q be l(2). Let k = q - 43. Suppose -y = y - k. Calculate the remainder when y is divided by 5.
4
Let z(h) = -h**3 + 7*h**2 - 6*h + 10. Let q be z(5). Suppose -q*t + 25*t + 85 = 0. What is the remainder when 33 is divided by t?
16
Suppose 0 = -2*n + a + 27, 2*n + 4*a + 0*a = 2. Let d(p) = p**3 - 12*p**2 + 14*p - 30. What is the remainder when 12 is divided by d(n)?
0
Let j be 1026/15 + (-4)/10. Suppose -z = 3*z - j. Let o = 9 + -3. What is the remainder when z is divided by o?
5
Let d(m) = 0*m + 14 - 5 - 8*m - 2*m + m**2. Calculate the remainder when -4 - ((-312)/8)/((-1)/(-1)) is divided by d(10).
8
Suppose -2*t + 44 = -6*t. Let b = t + 13. Suppose 0*r + b*r - 54 = 0. What is the remainder when r is divided by 14?
13
Let f(n) = 2*n + 3. Calculate the remainder when -1*((-8)/6 - 260/12) is divided by f(5).
10
Calculate the remainder when 524/6 + (7/(-21) - -1) is divided by 41.
6
Let c(q) = 13*q + 16. Calculate the remainder when c(28) is divided by 35.
30
Suppose -f - 12 = -4*m, m + 2*m + 2*f - 9 = 0. Suppose 11*w - 6*w = m*b + 890, -178 = -w + b. Calculate the remainder when w is divided by 45.
43
Let q(p) = p**3 - 15*p**2 - 15*p - 31. Let s be q(16). Suppose -3*t - 2*t - 170 = 0. Let l = s - t. What is the remainder when 56 is divided by l?
18
Let x = -19 + 141. Let q = x - 80. What is the remainder when 165 is divided by q?
39
Suppose -4*t - 96 + 79 = -3*v, 0 = 4*v + 5*t - 64. What is the remainder when -2 + (32 - -1)/1 is divided by v?
9
Let i = 20 - 12. Suppose x = -0*x + 1, -n + x = -i. Let q(s) = s**3 - 14*s**2 + 47*s - 260. Calculate the remainder when q(12) is divided by n.
7
Let l(y) = y**2 + 2*y + 13. Calculate the remainder when l(-2) is divided by 7.
6
Let o be (-1 - 0)*(-2 - -1). Suppose -o = -f + 3. Suppose -6 = -f*q + 6*l - l, -4*l + 16 = 2*q. Calculate the remainder when 21 is divided by q.
1
Let u(h) = -9*h**3 + h**2 - 2*h + 2. Let o be u(1). Let l = o + 15. Calculate the remainder when 48 is divided by l.
6
Let a(r) = -1 - 1 - 3*r - 4 + 5. Let b be a(-1). Suppose o - b*z = 21, -144 = -2*o - 2*o - 4*z. Calculate the remainder when o is divided by 11.
9
Suppose -4417 + 1825 = -4*j. Suppose 0*z = -8*z + j. What is the remainder when z is divided by 14?
11
Let l = -1 + -35. Let v = -25 - l. Let m = 25 + 16. Calculate the remainder when m is divided by v.
8
Let n(x) be the third derivative of x**6/120 - 3*x**5/20 - 5*x**4/12 + 5*x**3/3 + 4*x**2. Calculate the remainder when -38*(-1)/4*4 is divided by n(10).
8
Suppose -4*m + 59 = -9. Let g = 22 + 1. Let i = g - -25. What is the remainder when i is divided by m?
14
Let z(t) = -t**2 - 12*t - 5. Suppose -k + 10 = -5*w, 3*w - 78 = -6*k + k. Calculate the remainder when k is divided by z(-11).
3
Let q = -795 - -832. What is the remainder when 312 is divided by q?
16
Let g = 1 + -8. Let a = 172 + -89. Calculate the remainder when a is divided by (21/(-2))/g*14.
20
Suppose w = -5*d + 540, w + 2*w + 520 = 5*d. Let h = 166 - d. Let x = 40 - 9. What is the remainder when h is divided by x?
28
Let l = 9 + -5. What is the remainder when 44 is divided by (15/2)/(l/8)?
14
Suppose -n = 3*j + j + 8, -j + 145 = -5*n. Let b = n - -50. What is the remainder when 39 is divided by b?
17
Suppose -6*x + 8*x = -6. Suppose -4*g - 16 - 4 = 0. What is the remainder when 15 is divided by x - g/(10/18)?
3
Suppose -4*c - 18 = -2. Let a(s) = 5*s**2 + 5*s + 5. Suppose -5*l = 2*m - 29, 22*l - 56 = -2*m + 26*l. What is the remainder when a(c) is divided by m?
21
Let q(g) = -5*g - 22. Let z(t) = -1. Let c(i) = q(i) - 6*z(i). What is the remainder when 75 is divided by c(-7)?
18
Let k = 50 + 311. What is the remainder when k is divided by 33?
31
What is the remainder when 218 is divided by (4/14)/((-21)/(-4851))?
20
Let o = 112 - 72. Suppose 0 = -11*v + 16*v - o. Calculate the remainder when 53 is divided by v.
5
Suppose 2*s - 8 = 4*s, -5*s - 8 = 3*j. What is the remainder when 32 is divided by (-22)/j*(-12 - -10)?
10
Let u(f) = f**2 - 6*f + 9. Let z be u(9). Suppose v + z = 3*v. What is the remainder when 69 is divided by v?
15
Let m(k) = k**2 - 3*k - 2. Let c be -1*((-5 - -3) + 3). Calculate the remainder when 6 is divided by m(c).
0
Suppose 64 = d + d. Suppose 0 = -j - 2*w + 22, -12 = 2*j + w - 41. Calculate the remainder when d is divided by j.
8
Suppose -5*v + 37 = -208. What is the remainder when v is divided by (-12)/2*(-21)/9?
7
Suppose 5*p = 3*x - 61, -2*p + 0*p + 8 = 0. Calculate the remainder when x is divided by 55/11*(-2 + 3).
2
Suppose -8*n = 118 - 206. Calculate the remainder when 83 is divided by n.
6
Let d(g) = -33*g - 25. What is the remainder when d(-4) is divided by 22?
19
Suppose 0 = 2424*n - 2441*n + 9979. Calculate the remainder when n is divided by 59.
56
Suppose 3*q = -3*t - t + 20, -20 = -2*q + 4*t. Suppose -a - 2*f = 28, -4*a - 41 = -4*f + 95. Calculate the remainder when 2 - (a - (-3 + 0)) is divided by q.
7
Let u = -83 + 94. Suppose 0 = 3*a - 5*o - 182, 3*a - 4*o - 185 = -1. Calculate the remainder when a is divided by u.
9
Let n(p) = 12*p**3 + 7*p**2 - 14*p + 6. What is the remainder when n(3) is divided by 5?
1
Let d be (-50)/(-20)*(-12)/(-10). Let f = -3 + d. Suppose 5*b - 49 = -4*q, -2*b - q + 13 + 6 = f. What is the remainder when b is divided by 4?
1
Suppose -4*j = 2*k - 204, 4*k + 153 = 3*j + 5*k. Let w = -31 + j. Calculate the remainder when w is divided by 12.
8
Suppose 17 = 5*d - 2*v - 48, 10 = -2*v. Suppose 819 = 2*b + d*b. What is the remainder when b is divided by 17?
12
Let o(k) be the second derivative of -8*k**3/3 - 3*k**2/2 - 5*k. Calculate the remainder when o(-2) is divided by 6.
5
What is the remainder when (8/3)/(-3 + (-385)/(-126)) is divided by 8?
0
Let b(r) = -r**3 + 4*r**2 + 5*r + 4. Let j be b(5). Let c(t) = t. Let h be c(0). Suppose h = 2*q - j*q + 12. What is the remainder when 22 is divided by q?
4
Let r = 118 + -23. Suppose -2*j - 6 = -3*j. Calculate the remainder when r is divided by j/42 + (-668)/(-28).
23
Let n = -143 - -254. What is the remainder when n is divided by 1/((-5)/190*2)*-1?
16
Suppose 0 = -2*b - 4*o - 2 - 0, -19 = -5*b + 2*o. Suppose 0 = f - b*f + 12. Let i(p) = -p**2 + 14*p + 794. Calculate the remainder when f is divided by i(-22).
0
What is the remainder when 238 is divided by 18 + (-2421)/(-45) - (-1)/5?
22
Suppose 4*h - 5 - 3 = 0. Suppose 0 = h*w, -5*k - w + 4 = -6. Calculate the remainder when 8 is divided by k.
0
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