uppose -8*b = -11*b + 21. Let l(r) = r**2 - 9*r + 17. Let d be l(b). Suppose 69 = d*m - 78. Calculate the remainder when m is divided by 13.
10
Let j(k) = 2*k**2 - 11*k + 11. Let i(m) = -3*m**2 + 21*m - 13. Let y be i(6). What is the remainder when 50 is divided by j(y)?
2
Suppose -72 = q + 49. Let n = -9 - q. What is the remainder when n is divided by 29?
25
Suppose -46*t + 142 = -44*t. What is the remainder when t is divided by 25?
21
Let v = -39 - -27. What is the remainder when (-4 - 207/v)*(7 - 3) is divided by 4/(-14) + 270/14?
15
Let g = -669 - -757. Calculate the remainder when 263 is divided by g.
87
Let c = 365 + -119. Calculate the remainder when c is divided by 31.
29
What is the remainder when 633 + ((-12 - -5) + 7 - -5) is divided by 20?
18
Let h(i) = 22*i + 1. Let v be h(7). What is the remainder when 2/(-6) + 2 + v/15 is divided by 7?
5
Let c(x) = -x**3 - 21*x**2 - 40*x + 3. What is the remainder when c(-19) is divided by 23?
18
Let o(f) be the third derivative of f**5/30 - f**4/2 + 5*f**3/6 + 3*f**2. Let y be o(8). Let k = y + -26. Calculate the remainder when k is divided by 5.
1
Suppose -10*i - 14*i + 288 = 0. Calculate the remainder when 201 is divided by i.
9
Suppose 0 = 22*m - 17*m + 190. Let n = -34 - m. Suppose 4*k - 132 = 4*c, -n*k + 72 = -2*k + c. What is the remainder when k is divided by 12?
11
Suppose -j + 2 = -1. Suppose -4*l - j + 7 = 0, 4*l = -2*x + 48. What is the remainder when x is divided by 5?
2
Suppose 2 + 2 = z. Suppose -9 = m - z*m. Calculate the remainder when 35 is divided by 4 + m + -6 + 11.
11
Let x = 41 + -25. What is the remainder when -1 + 41 + 2 + 3 is divided by x?
13
Suppose 3*u + 0 + 12 = -2*l, 5*u + 36 = 2*l. Calculate the remainder when ((-30)/(-10))/(u/(-202)) is divided by 34.
33
Let h be 1 - (0 - (-1 - 1)). Let k = 177 - 147. Calculate the remainder when k is divided by 2 - 2 - 8/h.
6
Let w(a) = -6 - 7*a + 0 + 2*a - 5. Calculate the remainder when 53 is divided by w(-4).
8
Calculate the remainder when 79 is divided by 280/(-100)*(-30)/4.
16
Let o = 1 + 1. Suppose -i = -4*i. Suppose -1 = -n - i*n. Calculate the remainder when o is divided by n.
0
Suppose -59*p - 198 = -62*p. Calculate the remainder when 393 is divided by p.
63
What is the remainder when 3 is divided by -2*(-4)/6*(-51)/(-34)?
1
What is the remainder when 66 is divided by 796/16 + (-234)/(-104)?
14
Let c(x) = -39*x + 69. Let f(n) = 40*n - 70. Let q(a) = -6*c(a) - 5*f(a). Calculate the remainder when q(4) is divided by 20.
12
Let u = -252 + 375. What is the remainder when u is divided by 36?
15
Let k = -225 + 227. Suppose -o + 0*o = -10. Let u = o - 4. What is the remainder when u is divided by k?
0
Let v = 2 + -2. Let h = 19 - v. Calculate the remainder when h is divided by 11.
8
Let c = 363 - 356. Calculate the remainder when 11 is divided by c.
4
What is the remainder when 421 is divided by ((-2600)/(-45))/10 - 6/(-27)?
1
Let z be 12/84 + (-40)/(-14). Suppose -2*v - 5 = -z*v. Calculate the remainder when 12 is divided by v.
2
Let o be (-8)/12 - 52/(-6). Suppose -z = -2*z + 4*t - 6, 3*z - 12 = 2*t. What is the remainder when z is divided by (1 + -2)*(5 - o)?
0
Suppose 0 = i + 5*s - 46, -5*i + 5*s + 160 - 20 = 0. Let h(l) = -4*l**2 - 4. Let m be h(2). Let o = -9 - m. Calculate the remainder when i is divided by o.
9
Let n be (-3)/24 + 105/8. Calculate the remainder when -3 + n + (0 - 3) is divided by 18/4 + (-2)/4.
3
Let t = -157 + 170. Calculate the remainder when 67 is divided by t.
2
Calculate the remainder when (-16)/(-24) - 484/(-3) is divided by 25.
12
Let x(i) = -i**2 + 11*i - 5. What is the remainder when x(7) is divided by ((-56)/2)/(24 + -26)?
9
Suppose 5*l - 3*n - 74 = 0, -3*l + 5*n = 2*l - 80. Suppose 0*s = -2*s - 46. Calculate the remainder when -1 - (s - 2) - 1 is divided by l.
10
Suppose 0 + 1 = -z. Suppose 0 = -30*m + 41*m - 22. Calculate the remainder when (1*z)/((-2)/6) is divided by m.
1
Let o(r) = r + 4. Let t be -4*(0 + (-108)/16). Suppose -13*x + 12*x + t = 0. What is the remainder when x is divided by o(3)?
6
Let p = 404 + -175. Calculate the remainder when p is divided by 8.
5
Suppose -485 = -26*v - 173. What is the remainder when 138 is divided by v?
6
Let s = -80 + 82. Calculate the remainder when (49/3 - 3)*(5 - s) is divided by 12.
4
Let d = -49 + 80. Suppose 37*u - d*u - 24 = 0. What is the remainder when u is divided by 2?
0
Let r(h) = -2*h**3 - 4*h**2 + 2*h + 11. What is the remainder when 600 is divided by r(-2)?
5
Suppose 162 = 4*b - 2*b - 5*o, 0 = b - 2*o - 81. Suppose -9*j = -20*j + 198. Calculate the remainder when b is divided by j.
9
Let u(o) = 30*o - 11. Let r(c) = 15*c - 6. Let j(z) = 7*r(z) - 4*u(z). Suppose 4*m - q - 74 = 2*q, 8 = -4*q. Calculate the remainder when j(-2) is divided by m.
15
Let n = -556 + 569. What is the remainder when 44 is divided by n?
5
Suppose -2*k + 4*g + 80 = 6*g, 0 = -k + 5*g + 16. What is the remainder when 318 is divided by k?
30
Let j(z) = -z**3 + 10*z**2 + 5*z - 14. What is the remainder when 47 is divided by j(10)?
11
Let a = -464 + 528. What is the remainder when a is divided by 11?
9
Suppose -4*l - 22 = 46. Let j = l + 29. Suppose 0 = n - 3*b - 0*b - 16, 5*n - 2*b - 41 = 0. Calculate the remainder when j is divided by n.
5
Let u = 228 - 187. Suppose -6*x + 9*x = -12. Let r(y) = -y**3 - 4*y**2 - 4*y - 2. What is the remainder when u is divided by r(x)?
13
Suppose -2*h = -3*z - 0*h + 59, -10 = -2*h. Let o(v) = 68*v - 68. What is the remainder when o(2) is divided by z?
22
Suppose 5*o - 77 = 163. Suppose 0 = -3*p + 375 - o. Calculate the remainder when p is divided by 14.
11
Suppose -3*r = 4*k - 0*r - 68, 3*k = -5*r + 40. Let n = 31 + k. What is the remainder when n is divided by 13?
12
Suppose -47 = 4*l + 33. Let v be ((-24)/l)/(4/10). Suppose v*c = 8 + 34. What is the remainder when 53 is divided by c?
11
Suppose -1221 = -9*s + 786. What is the remainder when s is divided by 75?
73
Suppose -149 = -10*a + 121. Calculate the remainder when 156 is divided by a.
21
Calculate the remainder when -11 + (458 - (-9 - -2)) is divided by 35.
34
Let r(k) = -7*k - 17. Let z(m) = -m**2 - m + 9. Let u be z(-6). What is the remainder when r(u) is divided by 44?
42
Suppose -2*z = -3*z + 46. Let f = 1159 + -1149. What is the remainder when z is divided by f?
6
Calculate the remainder when 91 is divided by (-26 + -2)*9/(-18).
7
Let a(s) = s**2 - 3*s - 7. Let n be a(5). Suppose -2*m - 126 = -5*i, n*m - 24 = -i + 4*m. Calculate the remainder when 77 is divided by i.
25
Let w = 51 - -124. What is the remainder when w is divided by 30?
25
Let z = 61 - 58. Suppose 2*d + 4*u = 14, 0*d - z*d + 2*u + 37 = 0. What is the remainder when 38 is divided by d?
5
Let u(b) = -b**3 + 9*b**2 - 9*b + 6. Let z be u(8). Calculate the remainder when ((z + 3)*-1 + 59)/2 is divided by 6.
5
Let f = 32 - -10. Let c(w) = -w**3 + 12*w**2 - 9*w - 8. Let b be c(11). Let j = -3 + b. Calculate the remainder when f is divided by j.
9
Suppose 3*k = -k + 3*g - 416, 5*g = k + 104. Let j be 2/(-6) - k/(-12). What is the remainder when (-20)/15*j/2 is divided by 5?
1
Suppose 1 = 3*t - 14. Let h = 39 - 32. Suppose h*u - 36 - 97 = 0. Calculate the remainder when u is divided by t.
4
Suppose -14 = -7*k + 7. Suppose 4*r - k*i = -7*i + 4, -7 = -3*r - 5*i. What is the remainder when (5 - (r + 3)) + 32 is divided by 9?
8
Suppose 1314 - 114 = 5*q. Suppose -12*i + 7*i + q = 0. Let x(j) = -j**2 - 9*j + 17. Calculate the remainder when i is divided by x(-8).
23
Suppose 0 = 8*v + 2*v - 1040. Let k = v + 65. What is the remainder when k is divided by 19?
17
Let p = 22 + -7. Suppose -v + 7 = -d - 12, 2*d = -4*v + 70. Suppose 5*t = w - 31, -2*w = -2*t - 84 - v. What is the remainder when w is divided by p?
11
Let v = -907 + 1038. What is the remainder when v is divided by 44?
43
Suppose 19*n = 18*n + 3. Let m = 16 + -28. Let v = m + 14. What is the remainder when n is divided by v?
1
Let w(c) = 2*c**2 - 10*c - 8. Let u be w(9). Suppose 16*n = 20*n - u. What is the remainder when 29 is divided by n?
13
Let n = 8 - 2. Suppose -n*p - 29 = 25. Calculate the remainder when 10 is divided by (-1 + 19)*p/(-27).
4
Let i = 81 - 70. What is the remainder when 41 is divided by i?
8
Let x be (11 + -30)/((-2)/(-10)). Let w = -38 - 