)/42).
12
Suppose 3*i - 67 = -4*m, -3*m + 2*i = -m - 44. Calculate the remainder when 73 is divided by m.
16
Suppose -10*j = -5*j - 565. Calculate the remainder when j is divided by 23.
21
Let a(b) = -b + 4. Let c be 6/(-18) + (-1)/(-3). Suppose c = 4*k - 7 + 3. Calculate the remainder when a(2) is divided by k.
0
Let v be (3 - -3)*8/6. Let c = -1 + v. Suppose -4*q + 18 = 2. What is the remainder when c is divided by q?
3
Suppose 2*d = -2*d + 44. Suppose 4*y = 4*t - 160, -4*t - 2*y + 143 = -d. What is the remainder when t is divided by 20?
19
Suppose 135 = -4*k + 9*k. Suppose k = 3*f - 0*f. Suppose 0 = -4*l + 65 - f. Calculate the remainder when l is divided by 8.
6
Suppose -3*k = -4*p - 19, 0 = 6*k - 3*k + 2*p - 31. Let n(o) be the first derivative of o**2 - 5*o - 6. Calculate the remainder when k is divided by n(5).
4
Let p = -39 - -58. Calculate the remainder when 56 is divided by p.
18
Let g(n) = n**3 - 2*n**2 - 2*n - 6. Suppose 3*t - 79 = 41. Suppose 0*m = 2*m - t. What is the remainder when g(5) is divided by m?
19
Suppose -4*q + 0 = -16. Suppose -31 = -q*u + 9. What is the remainder when 38 is divided by u?
8
Calculate the remainder when (-1014)/(-21) - 4/14 is divided by 17.
14
Let n be 0 + (0 - (-10 - -2)). Suppose 3*m + m - 104 = 0. Calculate the remainder when m is divided by 4/n + 54/4.
12
Let l = -8 + 20. Let h = l - -1. Let n(w) = -w**3 - w**2 + w + 24. What is the remainder when n(0) is divided by h?
11
Let f = 0 + 22. Calculate the remainder when 85 is divided by f.
19
Let f = 101 - 58. What is the remainder when f is divided by 12?
7
What is the remainder when (6 - (8 + -3))*18*2 is divided by 10?
6
Let v = 2 + 2. Suppose -v*h + 28 = -24. Suppose y - 51 = -2*t, t - y = -2*y + 27. What is the remainder when t is divided by h?
11
Let x(a) = -7*a + 3. Suppose 12*o - 8 = 148. Calculate the remainder when x(-5) is divided by o.
12
Let z(r) = r**3 - 9*r**2 + 9*r + 7. What is the remainder when z(8) is divided by 9?
6
Let t = -8 - -36. What is the remainder when 223 is divided by t?
27
Suppose 4*u = u + 105. Suppose 5*v = 5 + u. What is the remainder when 23 is divided by v?
7
Suppose -6*s = 87 - 339. What is the remainder when s is divided by 15?
12
Suppose 5*d = d + 56. Suppose 0 = 3*p + 3*i + 3, -4*p - p - 41 = -4*i. Let a = 10 + p. What is the remainder when d is divided by a?
4
Let y = -30 - -46. Calculate the remainder when ((28 - 1) + 4)*1 is divided by y.
15
Suppose c + 3 = 0, -c + 0*c = 2*a - 29. What is the remainder when a is divided by 1 + 9 - (-7)/(-7)?
7
Let s = -14 + 22. What is the remainder when 21 is divided by s?
5
Let y(c) = -c**2 + 15*c - 13. Let g = -2 - -15. What is the remainder when y(g) is divided by 5?
3
Let d = -80 - -108. What is the remainder when 105 is divided by d?
21
Suppose 0 = 4*b + 23 + 29. Let u = -8 - b. What is the remainder when 9 is divided by u?
4
Let p(g) = -4*g + 1. Let l be p(-1). Calculate the remainder when 17 is divided by 2 + l - (-3)/1.
7
Let c(l) = -l**2 + 7*l + 6. Let h be c(6). Let k = h + -3. Suppose -3*n + k = 3. Calculate the remainder when n is divided by 2.
0
Let w(z) = z**3 - 14*z**2 + 2*z - 11. Let c(k) = -4*k + 1 + 4*k + 49*k**2 + k. Calculate the remainder when c(-1) is divided by w(14).
15
Suppose 42 = 4*j - 5*s, -4*j - 8 + 46 = -3*s. Calculate the remainder when 118 is divided by j.
6
Let f = 11 + -2. Let y = f - -3. Calculate the remainder when 2 - 4/1 - -37 is divided by y.
11
Calculate the remainder when (2 - 1)*0 - -23 is divided by 116/14 + (-6)/21.
7
Let r(v) = v**3 + 7*v**2 - 2*v - 7. Calculate the remainder when 20 is divided by r(-7).
6
Let i = 3 + 9. Let x(h) = 2*h**2 + 4 - h**3 + 0*h + 5*h**2 - 4*h. Calculate the remainder when x(5) is divided by i.
10
Let o(g) = -6*g - 2. Let h be (-1 + -81)*3/(-6). Suppose 4*i = -i - n + h, 5*n = -20. Calculate the remainder when o(-3) is divided by i.
7
Calculate the remainder when (632/12)/((-10)/(-15)) is divided by 5.
4
Suppose 74 = 2*w - 64. Calculate the remainder when w is divided by 18.
15
Let c be (1 + (-3 - -2))/(-3). Suppose 0 = 3*a - c*a - 3. Suppose 0*s - 11 = 4*m + 5*s, 11 = 2*m - 3*s. Calculate the remainder when a is divided by m.
0
Suppose -1 = 5*p - 36. Calculate the remainder when 20 is divided by p.
6
Let d(q) = -q**2 + 11*q - 7. Let p be ((-9)/(-5))/((-2)/(-10)). What is the remainder when 32 is divided by d(p)?
10
Suppose 0*y = -3*y + 57. Calculate the remainder when 36 is divided by y.
17
Let g(r) = -6*r - 3. Calculate the remainder when g(-5) is divided by (3/(-2))/((-3)/28).
13
Suppose 2*i + 2*x = 98, 3*x - 50 = -i + x. Let o = 8 - 8. Suppose -3*g = -j + 4, o*g + i = 5*j - g. Calculate the remainder when j is divided by 6.
4
Let b = -13 + 17. What is the remainder when 5 is divided by b?
1
Calculate the remainder when 25 is divided by (-2)/6 + (-22)/(-3).
4
Let w(b) = b + 3. Let h be w(-4). What is the remainder when 6*6 + -1 + h is divided by 12?
10
Suppose j - 7 + 2 = -4*p, 2*p - 5*j + 3 = 0. Suppose t - p = 7. Calculate the remainder when 22 is divided by t.
6
Suppose k = -4*v - 3*k + 224, 0 = 5*k + 25. Calculate the remainder when v is divided by 2/(-3)*(-4 + -20).
13
Suppose 4*x - 12 = 4*j, 3 = 5*x + 2*j - 5. Suppose -k - x*k = -21. Calculate the remainder when 5/(5/21) + -1 is divided by k.
6
Suppose -3*a + a - 4*v = -16, 0 = 4*v - 12. Suppose -4*t - 2*d - 10 = -44, 5*d - 1 = a*t. What is the remainder when t is divided by 3 + (1 + -1)/4?
1
Let o = 12 + -6. Let u = -4 + o. What is the remainder when u is divided by 1?
0
Let c = 53 - 40. Calculate the remainder when 51 is divided by c.
12
Let z(o) = 17*o**2 - 4*o - 5. Let w(b) = 17*b**2 - 3*b - 4. Let r(n) = 4*w(n) - 3*z(n). What is the remainder when 61 is divided by r(1)?
13
Let q(a) = -a - 2. Let g be q(-4). Let m(l) = -2*l**2 + g*l - 4 + 3*l**2 + 1 + 0*l**2. Calculate the remainder when 46 is divided by m(3).
10
Let f = -64 + 101. What is the remainder when f is divided by 20?
17
What is the remainder when 405*((-1)/5)/((-9)/27) is divided by 41?
38
Let p be 2/(3 + -1)*-1. Suppose -3 = -3*h + 9. Calculate the remainder when 10*(2 + 1/p) is divided by h.
2
Let b(x) = x**3 - 8*x**2 - 3*x + 3. Let h(d) = -4*d**3 + 24*d**2 + 8*d - 10. Let f(m) = -7*b(m) - 2*h(m). What is the remainder when f(-6) is divided by 21?
20
Let l(t) = -t. Let w be l(-1). What is the remainder when 73 is divided by (-133)/14*-2*w?
16
Suppose 3*g = 5*j - 82, 4*j + 2*g = 2*j + 20. Calculate the remainder when j is divided by 4.
2
Suppose 7*k - 5*k - 24 = 0. Let c(a) = 1 + 2*a + 3*a**2 + 1 + 0*a. Calculate the remainder when c(3) is divided by k.
11
Let l(s) = -s**3 - 21*s**2 - 3*s - 36. Calculate the remainder when 133 is divided by l(-21).
25
What is the remainder when 42 is divided by 8/(-20)*(-57 + 2)?
20
Suppose 119 = 3*n - 4*y, -3*y = -y - 8. Calculate the remainder when 179 is divided by n.
44
Suppose 0*c + c = -3, 2*b - 2*c - 16 = 0. Let n = b - 3. What is the remainder when 6 is divided by n?
0
Suppose 29 = 2*f + 5. What is the remainder when 70 is divided by f?
10
Calculate the remainder when ((-400)/30)/((-1)/3) is divided by 14.
12
Let w = 0 - 0. Suppose -52 = -w*c - 3*c - j, -39 = -2*c - 5*j. What is the remainder when c is divided by ((-3)/2)/(2/(-12))?
8
Suppose 4*w + q + 56 = 7*w, 4*q = 2*w - 34. What is the remainder when 54 is divided by w?
16
Suppose 35 = n - 59. What is the remainder when n is divided by 26?
16
Suppose h + 3*u = u + 8, 4*u - 28 = -5*h. What is the remainder when h is divided by 2?
0
Let z = 9 - -91. Suppose b = -4, j - 5*b = -3*j + z. Calculate the remainder when 77 is divided by j.
17
Let t(u) = -85*u. Let x be t(-1). Suppose -4*z + 357 = x. Calculate the remainder when z is divided by 23.
22
Let x = 148 - 119. Suppose 5*t + 4 = 4*w + 74, 0 = t - w - 15. Calculate the remainder when x is divided by t.
9
Suppose q = 2*q - 7. Suppose 0 = -2*k + 3*k - q. Calculate the remainder when k is divided by 4.
3
Suppose -4*i = i - 95. Let r = 81 + -44. What is the remainder when r is divided by i?
18
Suppose -3*y = -4*y - 3*n - 14, 5*n + 25 = 0. Suppose -m - 3 = -2*m. Calculate the remainder when m is divided by y.
0
Let t = 9 + -3. Let d be t/(-33) - 563/(-11). Suppose d - 17 = 2*j. What is the remainder when 32 is divided by j?
15
Suppose 1