n(z) = 2*z + 11. What is the remainder when (-19)/(-4) + (-1)/(-4) is divided by n(-4)?
2
Let l(p) = -5*p**3 + 2*p**2 + 3*p + 2. Let d = -30 - -58. Let b be d/(-12) + (-1)/(-3). Calculate the remainder when l(b) is divided by 16.
12
Let c(p) = p**2 + p + 1. Let y(l) = 10*l**2 - l - 2. Let x(f) = 4*c(f) + y(f). What is the remainder when x(-1) is divided by 4?
1
Let x = -9 - 12. Suppose -h = -3*h - 28. Let w = h - x. Calculate the remainder when 18 is divided by w.
4
Let b = 81 - 75. Suppose b*q - 376 = 2*q. Calculate the remainder when q is divided by 20.
14
Suppose -11*j + 15*j - 80 = -2*k, 0 = -4*k + 8. Calculate the remainder when 45 is divided by j.
7
Let l = -29 + 33. What is the remainder when (4 + -1)/(6/56) is divided by 5/(-10) + 66/l?
12
Let z = 1791 + -1676. Calculate the remainder when z is divided by 34.
13
Let q = 444 - 282. Calculate the remainder when q is divided by 77.
8
Suppose 0 = m - 13 - 27. Suppose -q - 6 = -m. Calculate the remainder when q is divided by 12.
10
Let q(t) = 48*t**2 + 4*t - 1. What is the remainder when 66 is divided by q(-1)?
23
Suppose -5*m + 31 = -639. Calculate the remainder when m is divided by 28.
22
Let h = 1598 - 1550. What is the remainder when h is divided by 27?
21
Suppose -2*z - 5*q + 108 = 0, -q + 148 = 3*z + 3*q. What is the remainder when 131 is divided by z?
43
Let u = 13 + -9. Let p be 3/(-30)*-4*1*50. Suppose -p*g + 26*g = 30. Calculate the remainder when g is divided by u.
1
Suppose 34*w - 29*w = 665. Calculate the remainder when w is divided by 27.
25
Suppose -19*f = -23*f + 16. Calculate the remainder when f is divided by 3.
1
Suppose -3*m + 368 = j, 2*j - 53 = 2*m - 285. What is the remainder when m is divided by 64?
57
Suppose 19*t - 24*t + 34 = r, -r + 4*t = -43. Suppose 3*d - 28 = 56. Suppose -b + 3*b = d. What is the remainder when r is divided by b?
11
What is the remainder when ((-885)/(-9) - -2) + (-146)/(-219) is divided by 39?
23
Let f = 18 + -13. Suppose -5*t + 3*g + 484 - 85 = 0, 2*t - 172 = -f*g. Let p(d) = -16*d - 4. What is the remainder when t is divided by p(-2)?
25
Suppose -3*h = -15, -2*h - 65 = -4*k + 121. What is the remainder when 97 is divided by k?
48
Let s be (-39)/(-3) + (-4)/12*3. Let o = 8 - -11. Let j = o + s. Calculate the remainder when j is divided by 16.
15
Let t(q) = 2*q**2 - 21*q - 153. What is the remainder when t(27) is divided by 57?
54
Suppose 2*k - 85 - 25 = -4*t, 4*t - 104 = 4*k. What is the remainder when 79 is divided by t?
25
Let g(p) = 7*p**2 + 2*p. Suppose 2*z + 3 = -3*w, 4*w + z - 6*z + 4 = 0. Calculate the remainder when 8 is divided by g(w).
3
Calculate the remainder when 40/300 - 894/(-45) is divided by 3*(24/9)/1.
4
Let r = -18064 + 18097. Let o be (1 - -1) + -1 + -1. Suppose -3*w - 2*s + 21 = o, -4*w - 3*s + 39 = -4*s. What is the remainder when r is divided by w?
6
Suppose 3*j - 25 = -3*v + 29, 20 = v + 2*j. Suppose -2*o + 3*r + 69 = 0, 2*o + 0*o - 72 = 2*r. Calculate the remainder when o is divided by 1/(v/164) + (-5)/20.
9
Let j be 15/(-20) + (-45)/4. What is the remainder when 4/14 - j*66/21 is divided by 13?
12
What is the remainder when 169 is divided by 375/20 + 4/16?
17
Suppose 0 = 2*q - 3*q + 5*f + 28, 0 = -2*q - 3*f + 17. Calculate the remainder when 48 is divided by q.
9
Let a(g) = -g**2 - 29*g - 130. Calculate the remainder when a(-22) is divided by ((-2)/(-5))/((-2)/(-50)).
4
Let s = 19 - 16. Suppose -34 = -2*o + r, -68 = -o - s*o - 2*r. What is the remainder when 48 is divided by o?
14
Suppose 0 = -15*o - 352 + 1207. Calculate the remainder when 165 is divided by o.
51
Suppose 5*g - 37 = 4*d, d + 18 = -2*g + 5*g. Suppose -3*o = 5*y - 20, -2*y - g = o + 2*y. What is the remainder when o is divided by 9?
6
Let c(t) = -t**2 - 2*t + 45. Let u be (-42)/(-4)*2/(-3). Calculate the remainder when 28 is divided by c(u).
8
Suppose -5*n + 5*k = 8*k - 628, 140 = n - 3*k. Calculate the remainder when n is divided by 26.
24
Suppose -3*x + 2*x + 3*u = -15, 4*x + 8 = -5*u. What is the remainder when 9 is divided by x?
0
Calculate the remainder when 4*-1 + 464 + 18 is divided by 37.
34
Calculate the remainder when (-5 + (-3124)/33)*1*-3 is divided by 60.
59
Let r(a) = -a**2 + 2. Let t be r(2). Let u(p) = -p**3 + 2*p**2 - 2*p - 3. Suppose -5*i + 1235 - 307 = 24*i. Calculate the remainder when i is divided by u(t).
15
Suppose -7*b = -576 - 96. Let u = b + -60. What is the remainder when u is divided by 14?
8
Let t(o) = 3*o**2 + 2*o + 5. Let w = -30 - -37. Let s = 33 - w. Calculate the remainder when t(-6) is divided by s.
23
Suppose 5*z + 24 = 7*z. Let d(b) = -b**3 - 6*b**2 - 2*b - 5. Calculate the remainder when z is divided by d(-6).
5
Suppose 3*q + 3 = m + 21, -4*q - 2*m = -24. Let a be (-225)/(-10) - 9/6. Let n = a - 5. Calculate the remainder when n is divided by q.
4
Suppose -9*u + 304 + 1271 = 0. What is the remainder when u is divided by 30?
25
Suppose 3*c - 70 = -4*p, -c + 134 = 4*c - 2*p. Let i be 22/(-5) - 24/40. Let z = i - -54. Calculate the remainder when z is divided by c.
23
Let l = -32 - -32. Let a(c) = -c**3 + c + 18. Calculate the remainder when (-71)/(1 + -1 + -1) is divided by a(l).
17
Suppose -5*q - 10 = -0. Let z = 3 - q. Suppose -d + z = -13. What is the remainder when 34 is divided by d?
16
Calculate the remainder when -3*(5 + 1200/(-18)) is divided by 25.
10
Let p(f) = 18*f + 433. What is the remainder when p(0) is divided by 14?
13
Suppose 3*d - 5*x - 9 = 0, 0*x = 2*d - 2*x - 10. Calculate the remainder when (d/24)/((-1)/(-264)) is divided by (-1 - (-1 - -1)) + 24.
19
Let k(z) = 3*z**3 - 4*z**2 + 2*z - 1. Suppose 4*g = g + 84. Calculate the remainder when k(3) is divided by g.
22
Let k(n) = -3*n**3 + 4*n**2 + 2*n - 2. Suppose 2*m = 28 - 12. Suppose -2*r = 2*r + m. What is the remainder when k(r) is divided by 12?
10
Suppose -x - 4*h = h - 31, -3*h - 147 = -4*x. What is the remainder when 101 is divided by (-1)/(-1 + -1 + 1) + x?
27
Let w(v) = 2*v**2 - v - 53. What is the remainder when 57 is divided by w(-6)?
7
Let z(h) = 0*h - 6 + 3*h + 10*h. Let c be z(7). Let t = c + -33. What is the remainder when t is divided by 18?
16
Let l = 442 + 338. Calculate the remainder when l is divided by 9.
6
Suppose -2*x = -23 - 61. Suppose -38 = -4*t + x. What is the remainder when 32 is divided by t?
12
Suppose 13*a - 8*a - 165 = 0. Let r be (-102)/(-30) + 2/(-5). Suppose -f - r*v = 0, 2*f - 3*v = -3*f + 72. What is the remainder when a is divided by f?
9
Let b(i) be the first derivative of -2*i**2 + 4*i - 2. Let v = 435 + -439. Calculate the remainder when 77 is divided by b(v).
17
Let f = 139 - 22. Calculate the remainder when f is divided by 15.
12
Suppose -14*w + 2786 + 238 = 0. What is the remainder when 448 is divided by w?
16
Suppose 45*b + 46 = 47*b. Suppose -18*z = -b*z + 65. Calculate the remainder when z is divided by 11.
2
Suppose 0 = -8*d - 34 + 138. Suppose d*y = 16*y - 315. Calculate the remainder when y is divided by 27.
24
Let y be 10/4*(-38)/(-5). Suppose 5*b - 2*q + 4*q - 118 = 0, b = -5*q + y. Suppose 0*c - 2*c = -18. What is the remainder when b is divided by c?
6
Let w = 158 - 157. Suppose -4*j + 25 = j. Calculate the remainder when j is divided by w.
0
Suppose v + 3*m + 23 = 2*v, -69 = -3*v - m. What is the remainder when v is divided by 13?
10
Let b = 18 - 11. What is the remainder when 0 + 64 - (b - 2) is divided by 10?
9
Suppose 5*x + 1173 = 22*x. What is the remainder when x is divided by (-110)/(-8) - 1/(-4)?
13
Let l be 2/3 + 16/48. Let s(t) = -t**3 + 6*t**2 - 4*t + 5. Let p be s(4). What is the remainder when l*9*35/p is divided by 4?
3
Let j(c) = 48*c - 92. What is the remainder when 123 is divided by j(3)?
19
Suppose 3*t + 5 = -10, 0 = 2*q - 2*t - 1854. What is the remainder when q is divided by 11?
9
Let i = 8 - 2. Let x = -7 - -9. Suppose i*d - 2*t = x*d + 88, -4*d = 5*t - 88. Calculate the remainder when 42 is divided by d.
20
Let r(u) = u**2 + 10*u + 6. What is the remainder when 10 is divided by r(-10)?
4
Let r = 155 + -36. What is the remainder when r is divided by 15?
14
What is the remainder when 1593 is divided by 686/9 + (-3)/((-135)/(-10))?
73
Suppose -3*l + 4*l - 20 = 0. Suppose -5*s + 110 = 5*s. What is the remainder when l is divided by s?
9
Suppose 535 - 121 = 18*g. What is th