remainder when l/(-9) + 256/6 is divided by 23.
19
Calculate the remainder when 6/6 + (7 - -1) is divided by (-3 - (4 - 11))*1.
1
Let m(w) = -8*w + 7. Let c(z) be the second derivative of -z**4/12 + 7*z**3/6 + 2*z**2 - z. Let k be c(8). What is the remainder when m(k) is divided by 14?
11
Let r(c) = -c**3 - 6*c**2 - 5*c. Let d be r(-5). Suppose d*z + 7*z - 364 = 0. What is the remainder when z is divided by 27?
25
Suppose 250 = 8*a - 3*a. Let r = -9 + a. Suppose 0 = 5*h + 10, -2*t - 3*h - 20 = -3*t. Calculate the remainder when r is divided by t.
13
Let h(d) = 62*d - 87. What is the remainder when h(4) is divided by 46?
23
Let g = -63 + 221. Let t = -331 - -363. Calculate the remainder when g is divided by t.
30
Suppose -3*t + 7*p = 4*p - 96, 4*p + 8 = 0. Let h be ((-40)/t)/((-2)/3). Calculate the remainder when 57 is divided by h*(44/8 - -2).
12
Let n = 17 - 8. Let s = -81 + 190. Suppose -5*h - 121 = -3*t, -3*h - 34 = -4*t + s. Calculate the remainder when t is divided by n.
5
Let m = 10 - 11. Let o be 20 + m + 0 + -1. Calculate the remainder when 35 is divided by o/(-30) + (-98)/(-5).
16
Calculate the remainder when 42*96/(-64)*(-8)/18 is divided by 8.
4
Let y(m) = m**2 + 40*m + 396. What is the remainder when 106 is divided by y(-28)?
46
Suppose 0 = 3*a + 4*r - 1 - 58, -64 = -4*a + 2*r. Calculate the remainder when 61 is divided by a.
10
What is the remainder when (3*1)/((-5131)/(-513) - 10) is divided by 23?
21
What is the remainder when 328 is divided by (-19)/(133/84)*22/(-4)?
64
Let v = 49 - -5. Let p(l) = 2*l**2 + 32*l + 145. What is the remainder when v is divided by p(-9)?
16
Calculate the remainder when (-2563)/(-19) - ((-507)/(-57) + -9) is divided by 28.
23
Suppose -4*p + 524 = -124. Suppose p = 12*r - 3*r. Calculate the remainder when r is divided by 10.
8
Let b(u) = -u + 94. What is the remainder when b(11) is divided by 39?
5
Let l(q) = -q + 6. Let s be l(-9). Suppose -s = -x + 18. Let z = -13 - -25. What is the remainder when x is divided by z?
9
Let v be (-558)/(-4) - (1 + (-24)/16). Let c = v - 96. Calculate the remainder when c is divided by 5.
4
Calculate the remainder when 112 is divided by (60 - -3) + -1*(0 + 3).
52
Suppose 0 = 2*y - 6*y - 52. Let w = -13 - y. Suppose 0 = -w*m - 2*m + h + 104, -230 = -5*m - 5*h. Calculate the remainder when m is divided by 13.
11
Let v = -44 - -64. Suppose 52*d - v = 47*d. Calculate the remainder when 12 is divided by d.
0
Let v = 59 - 112. Let o = 94 + v. Let g = -1 + 12. What is the remainder when o is divided by g?
8
Let r(x) = -5*x + 14. Let c be r(6). Suppose 5*w + 50 = 5*o, -2*o + 5 = 3*w - 0. Let l = o - c. What is the remainder when 45 is divided by l?
22
Let q(a) = a + 13. Suppose -5*l = -4*l - 2*y, -4*l = -2*y + 18. What is the remainder when 18 is divided by q(l)?
4
Suppose -4*m - 96 = -632. Suppose x + 16 = -3*x, x + m = 5*q. Let k = -5080 + 5087. What is the remainder when q is divided by k?
5
Let v = -13 + 23. Let i = -45 + -43. Let q = -51 - i. Calculate the remainder when q is divided by v.
7
Suppose -2*v + 2*c = -22, -3*c + 5*c = -5*v + 55. Suppose -4*q - 254 = 2*y, 0 = 2*y + 2*y - 20. Let r = q + 70. What is the remainder when v is divided by r?
3
Let y(s) = s - 4. Let j(u) = u - 5. Let h(w) = 2*j(w) - 3*y(w). What is the remainder when ((-48)/(-3) + 3)/1 is divided by h(-8)?
9
Suppose -7*g + 59 = -774. What is the remainder when g is divided by 42?
35
Let m = 2619 + -2578. Let x = -1 - -7. Suppose x*w - 3*w - 66 = 0. What is the remainder when m is divided by w?
19
Suppose 39*d - 27*d - 504 = 0. What is the remainder when 121 is divided by d?
37
What is the remainder when -59*((-2)/(-2) - 2) is divided by (-40 + 42)/((-1)/(-5))?
9
Let v(w) = -w**3 - 4*w**2 + 3*w + 4. Let a = 58 - 34. Suppose -28*p = -a*p - 104. Calculate the remainder when p is divided by v(-5).
12
Let l = -31 - -45. Let q = 119 + -52. Calculate the remainder when q is divided by l.
11
Let h(n) = 4*n**2 + 8*n - 25. Calculate the remainder when h(-8) is divided by 9.
5
Let a(o) = -o**2 + 11*o + 1. Suppose -2*c + 32 = 2*p - 5*p, 30 = c - 5*p. What is the remainder when a(c) is divided by 72/16 - (-6)/(-4)?
2
Suppose -8*s = -9 - 7. Calculate the remainder when (784/(-32))/((-1)/s) is divided by 13.
10
Suppose -2*w - 2 = 3*a, 5*w - 37 = a + 2*a. Let f = w + 1. Calculate the remainder when 173*(-1)/(-9) + 284/(-1278) is divided by f.
1
Let l(u) = 10*u - 2. Suppose 0 = 67*k - 1272 + 133. What is the remainder when l(5) is divided by k?
14
What is the remainder when 2/(1 - (-67)/(-69)) is divided by ((-2668)/(-6))/23 + (-8)/6?
15
Suppose 359*c - 362*c + 66 = 0. What is the remainder when 832 is divided by c?
18
Let d(z) = -2*z**3 - 69*z**2 - 101*z - 51. What is the remainder when (-45)/(-6)*(-24)/(-10) is divided by d(-33)?
3
Let v(g) = -9*g - 88. Suppose 0 = 4*f + 3*l - 5, 5*f - 4*l = 14 - 0. Suppose -f*i + 29 + 31 = 0. Calculate the remainder when i is divided by v(-11).
8
Let f be ((-48)/(-18))/(2/3). Suppose j + h + 2 = 18, -5*h - 109 = -f*j. What is the remainder when j is divided by 8?
5
Suppose -q - 5*c - 19 - 1 = 0, 3*c + 12 = -q. What is the remainder when (2 + -1)*(7 + q) is divided by 2 - -1*(-2 - -4)?
3
Suppose u + 2*z = -100, 0*u - u - z - 96 = 0. Let y = u - -130. Suppose -5*r = 4*l - 0 - 65, 2*r = l - 26. Calculate the remainder when y is divided by l.
18
Let t(r) = -r**3 + 17*r**2 + 13*r - 14. Let s be t(18). Let l = -50 - s. Calculate the remainder when l is divided by 14.
12
Let r = -761 + 873. Calculate the remainder when 440 is divided by r.
104
Suppose 0 = g - 19 + 17. Suppose -g*c + 4*c = 28. Suppose -c = -2*v + 64. What is the remainder when v is divided by 10?
9
Suppose 0 = 5*q + 3*a - 277, 179 = 4*q - q + 5*a. Suppose -7*j + 72 = -3*j - 5*w, 0 = 4*j + 5*w - 72. Calculate the remainder when q is divided by j.
17
Suppose -z = 4*z - 285. Suppose z = 11*m - 75. What is the remainder when 28 is divided by m?
4
Let v = 526 - 81. Calculate the remainder when v is divided by 113.
106
Suppose 6*x + 2*q - 285 = x, 0 = 3*x + 3*q - 171. Suppose -26 = -2*p + t, 10*t = 8*t + 8. Calculate the remainder when x is divided by p.
12
Let z = 31 + -3. Let s(p) = -7*p - 16. Let k be s(-3). Suppose -k*u + u + z = 0. What is the remainder when 12 is divided by u?
5
Suppose 14 = 5*p - 3*p - 5*m, p - 4*m - 1 = 0. Let h(v) = -v - 1. Let b = -3 - 7. Calculate the remainder when p is divided by h(b).
8
What is the remainder when ((-51)/(-204))/(1/452) is divided by 41?
31
Let v(x) = -11*x + 6. Calculate the remainder when v(-8) is divided by 2 + 1 + 1/(4/84).
22
Let i(p) = 13*p**2 - 20*p + 18. Let d(h) = -h**2 + 9*h. What is the remainder when i(2) is divided by d(8)?
6
Let r(v) = 2*v**3 - 4*v**2 + 6*v. Let d = 55 + -52. Calculate the remainder when r(d) is divided by 15.
6
Let n(d) = 12 + 29*d + d**2 + 2*d - 5*d. What is the remainder when 21 is divided by n(-26)?
9
Let z(b) = b + 36. What is the remainder when z(9) is divided by 4?
1
Let w = 1665 - 912. Calculate the remainder when w is divided by 84.
81
Let q = 224 + -190. What is the remainder when 57 is divided by q?
23
Let m(g) = -2*g**2 + 94*g - 17. Calculate the remainder when m(10) is divided by 121.
118
Suppose 0 = -5*i - r - 53, -5*i + 6*r - 3*r = 61. Let l(t) = 2*t + 36. Calculate the remainder when l(i) is divided by 6.
2
Suppose -29 = -4*u - 2*k + 61, 4*k + 145 = 5*u. What is the remainder when 97 is divided by u?
22
Suppose 0 = -3*p + 197 - 182. Calculate the remainder when 25 is divided by p.
0
Let j(w) = 2*w**2 - 4*w + 1. Calculate the remainder when 18 is divided by j(3).
4
Suppose -2*o - 16 - 168 = 0. Let z = 107 + o. What is the remainder when 57 is divided by z?
12
Let f(a) = -3*a**3 - 11*a**2 - 7*a - 4. What is the remainder when 159 is divided by f(-4)?
39
Let p = -289 - -301. Calculate the remainder when 44 is divided by p.
8
Suppose 5*h = 5*i + 20, 3*i - 20 = -2*i - 3*h. Let w be 1*117 + i - 2. Suppose 3*d = -d + w. What is the remainder when d is divided by 10?
9
Let c = -68 + 243. What is the remainder when c is divided by 15?
10
Let a(o) = -o**2 + 13*o - 3. Let g(r) = 11*r + 1. Let y be g(1). Calculate the remainder when 17 is divided by a(y).
8
Suppose -39 - 9 = -4*x. Calculate the remainder when 57 is divided by x.
9
Let z = -19