b = 24 + -13. Suppose b = -3*z + 53. Suppose z*r - 4 = 13*r. Calculate the remainder when 11 is divided by r.
3
Suppose -2*w + 23 = t, 3*t - 2*w + 92 = 7*t. Calculate the remainder when t is divided by 55/20*(-50)/(-55)*2.
3
Suppose 0 = -4*h - 0*t - t + 39, 6 = -h + 5*t. Let g be 3/h*24/4. Suppose g*o - 52 = 32. What is the remainder when o is divided by 11?
9
Suppose -4 = 2*v - 5*f - 48, 0 = -3*v - 4*f + 112. Calculate the remainder when v is divided by 7.
4
Suppose 4*a - 5*d - 855 = 0, 8*a - 4*d = 5*a + 641. Calculate the remainder when a is divided by 108.
107
Suppose 10*q - 13*q = 93. Let r = q + 66. Let u = r + -24. Calculate the remainder when u is divided by 4.
3
Suppose 2*v + 1 - 5 = 0, -36 = -2*k - v. Calculate the remainder when k is divided by 6.
5
Let w = -22 + 44. Suppose 2*f - 122 = -3*a - 0*f, 4*f + w = a. Calculate the remainder when 72 is divided by a.
34
Suppose b + 5*d = 52, 6*b - 119 = 4*b - 5*d. Calculate the remainder when b is divided by 15.
7
Let w(b) = -b**3 + 16*b**2 - 52*b + 13. Let a(k) = 57*k + 1. What is the remainder when a(4) is divided by w(11)?
45
Let b(d) = d**2 - 3*d - 5. Let l be b(5). Suppose -l*h + h = -40. Let v(p) = -p**2 - 20*p + 3. Calculate the remainder when v(-18) is divided by h.
9
Let h be (-108)/(-24)*76/(-6). Calculate the remainder when (28/(-42))/(1/h) is divided by 11.
5
Let q(h) = -h**3 - 7*h**2 + 3. Let u be q(-6). Let y = -52 - u. Let b = -4 - y. Calculate the remainder when 27 is divided by b.
12
Let n(c) = 11*c - 2. Let o(y) = -38*y - 93. Let l(z) = -13*z - 31. Let i(s) = -8*l(s) + 3*o(s). What is the remainder when i(-9) is divided by n(3)?
28
Suppose -5*w + 31 + 119 = 3*p, 3*p + 2*w = 150. Suppose -p = -2*g + 22. Calculate the remainder when 12/g - (-2)/3 is divided by 1.
0
Let u(l) = -12*l + 143. Let s be 1 + 2 + 1 + 0. Suppose -s*k - 145 = -9*k. Calculate the remainder when k is divided by u(11).
7
Let u(i) = i + 11. Let d be u(6). Let m = 22 - d. Suppose 70 = -m*s + 165. What is the remainder when s is divided by 11?
8
Let y be 0 - ((-1 - -2) + 1). Suppose -q = -3*s + 4, 0 = 4*s + 3*q - 1. What is the remainder when ((-2)/(-3))/(y/(-6)) is divided by s?
0
Let w(n) = -n**3 - 13*n**2 + 24. What is the remainder when 2158 is divided by w(-13)?
22
Suppose 0 = k - 3*k - 4. Let i(l) = -12*l - 1. Calculate the remainder when i(k) is divided by -26*1*2/(-4).
10
Let b = 2761 - 2706. Calculate the remainder when b is divided by 46.
9
Suppose 27*r = -213 + 1185. What is the remainder when 533 is divided by r?
29
Let l be (4 - 12/3) + 526. Suppose 6*z - 332 - l = 0. What is the remainder when z is divided by 24?
23
Let t = -18 - -15. Let n be t + 15/(-5) + 27. Suppose 0 = 4*f - 5*f + n. What is the remainder when 83 is divided by f?
20
Let h be ((-8)/10)/((-1)/25). Let x = 36 - h. Calculate the remainder when x is divided by 9.
7
Suppose 0*u + 2*u = 3*d + 10, 5*u = 5*d + 20. Let v(q) = -q + 4. What is the remainder when 37 + d + -1 + -2 is divided by v(-7)?
10
Calculate the remainder when 54/(-216) + (-3)/(24/(-1186)) is divided by 51.
46
Suppose -4*k - l = -207, 8*k - 255 = 3*k - 5*l. What is the remainder when k is divided by 41?
11
Calculate the remainder when 63660/480 - 9/(-24) is divided by 123.
10
Let q(k) be the third derivative of -5/12*k**4 + 7/60*k**5 + 0*k + 1/120*k**6 + 0 + k**3 + 6*k**2. Calculate the remainder when q(-8) is divided by 8.
6
Let p(s) = -s**3 + s**2 + 24*s - 6. Calculate the remainder when 234 is divided by p(5).
10
Suppose 0 = 4*a - 5*r - 122, 2*a - 15 - 43 = r. Calculate the remainder when 84 is divided by a.
0
Suppose 4*u + 33 - 9 = 0. What is the remainder when 18 is divided by 7/(-2)*(u + (4 - 0))?
4
Let s be 2/1 + -74 + -16. Let p = s - -105. Calculate the remainder when 46 is divided by p.
12
Suppose 33 = l + 5*y, -41*l = -44*l + 2*y + 48. What is the remainder when 1887 is divided by l?
15
Let y = -23 - -28. What is the remainder when 23 is divided by 0 - (y + -4) - -10?
5
Suppose i - 2415 = -y, 12*y - 7243 = 9*y - 4*i. What is the remainder when y is divided by 78?
77
Let p(d) = d**3 - 6*d**2 + 6*d - 3. Suppose -10*o - 32*a + 30*a = -58, 5*a - 30 = -2*o. Calculate the remainder when o is divided by p(5).
1
What is the remainder when (23 - 27) + -1 + 188 is divided by 46?
45
What is the remainder when -1 - (-4)/(-6 - (-852)/141) is divided by 20?
13
Let u = 34 - -30. Let n be 106/(-22) - (-12)/(-66). Let s(r) = -5*r - 3. Calculate the remainder when u is divided by s(n).
20
Let m = 18 - -26. What is the remainder when m is divided by (-46)/12*(18 - (0 + 24))?
21
Let o(q) = 10*q**2 - 4*q - 44. Calculate the remainder when o(7) is divided by 12.
10
Let m(h) = -2*h**3 - 14*h**2 + 14*h - 2. What is the remainder when m(-9) is divided by 5?
1
Let z = 6966 + -6903. What is the remainder when z is divided by ((-5)/(-4))/((-2)/(-8))?
3
Calculate the remainder when 0 + -1 - (-8)/6*33 is divided by 23.
20
Let i(v) = -2*v**2 - 15*v + 55. Calculate the remainder when 77 is divided by i(-9).
21
Suppose -2*g + 55 - 11 = 0. Suppose 0 = w + 3*w - 48. Calculate the remainder when g is divided by w.
10
Suppose -2*t - 17 + 1 = 4*m, -2*t - 3*m = 12. Suppose 4*f - 140 = -3*k, t = -3*k + 4*f - 2*f + 128. What is the remainder when k is divided by 23?
21
Let v be (-1 + 20/6)*12. Let i = v + -14. Calculate the remainder when 39 is divided by i.
11
Suppose -303 = -5*x + 3*o, -55 = -4*x + 3*x + 2*o. Let w(b) = -b + 15. What is the remainder when x is divided by w(-17)?
31
Let a = -2 - -45. Let v(b) = b + 11. Let n be v(-8). Suppose 0 = n*j - 5*x - 45, -5*x = 4*j - 3*x - 60. What is the remainder when a is divided by j?
13
Let j = -62 + 66. Suppose 0 = -2*f + 28 - j. What is the remainder when 59 is divided by f?
11
Suppose -2*y = 14 - 0. Calculate the remainder when -4 - (2/1 + y) is divided by 1.
0
Let l(f) = 4*f + 5. Let z be l(-2). Let u = -1 - z. What is the remainder when (u - (-288)/(-20))*-5 is divided by 21?
20
Let v(l) = l**3 + 5*l**2 - 6*l - 7. Let f be v(-6). Let z = 12 + f. Suppose 4*u + 2*c - c = 41, -25 = -5*c. What is the remainder when u is divided by z?
4
Let o = 43529 + -43482. Let s = -44 - -68. Calculate the remainder when o is divided by s.
23
Let q(x) = 21*x + 90. What is the remainder when q(0) is divided by 2?
0
Let p = 77 - 58. Suppose -14 = -w + p. What is the remainder when w is divided by 6?
3
Let w = -412 - -288. Calculate the remainder when 108 is divided by 28/21 - w/6.
20
Suppose 0 = -4*r - 2*y + 10, 4*r = -y - 4*y + 1. Suppose -r*j = 5*g + 11, -2*g + 0*g + 3*j = -14. What is the remainder when 4 is divided by g?
0
Let z(a) = -2*a + 3*a + 3*a + 7 - 3*a. What is the remainder when 49 is divided by z(3)?
9
Suppose -6*r = -11*r + 135. Let i = 35 - r. Calculate the remainder when 14 is divided by i.
6
Let b be (-3)/(-15) - (-14)/5. Calculate the remainder when (-2)/b*405/(-18) is divided by 5.
0
What is the remainder when 435418/581 - 8/(-14) is divided by 47?
45
Calculate the remainder when (495/220)/(1/148) is divided by 48.
45
Let i be (-80)/2*20/(-8). Suppose 3*m - i = -m. What is the remainder when m is divided by -1 - -3*1*5?
11
Let w(a) = 13*a**2 - 8*a + 2*a - a**3 - 17 - a. Calculate the remainder when 128 is divided by w(12).
42
Let q(h) = -h**3 - 7*h**2 - 8*h + 1. Let b be q(-6). Suppose 4*j = 5*j - b. Let v(l) = -l - 9. Calculate the remainder when j is divided by v(-14).
3
Let h(j) = 3*j + 9. Let c(p) = p - 1. Let b(a) = -6*c(a) - h(a). Calculate the remainder when b(-3) is divided by 3.
0
Let q = 198 + -47. What is the remainder when q is divided by 7?
4
Suppose 2*x + 0 + 10 = 2*n, 2*n - 22 = 4*x. Let b(t) = -63*t**3 - t**2 + t + 1. What is the remainder when b(-1) is divided by (-48)/(-2)*(-4)/x?
14
Let t = -66 - -78. Suppose t*w = 7*w + 45. What is the remainder when w is divided by 8?
1
Suppose -4*c - 4 = -2*i, 4*c + 4 = 3*i - c. Calculate the remainder when 23 is divided by -2 - -17 - (1 + 0 - i).
11
Let v = -524 + 736. Calculate the remainder when v is divided by 43.
40
Let f(i) = 42*i + 29. Calculate the remainder when f(0) is divided by 19.
10
Let i = -13 - -47. Calculate the remainder when i is divided by 34.
0
Let o(b) = -8*b - 2. Let f be o(5). Let a = -24 - f. Let l(y) = -12*y - 2. Calculate the remainder when l(-3) is divided