0, 65 = 5*d + 4*q. Calculate the remainder when 115 is divided by d.
13
Calculate the remainder when 1871/((4/72)/(6/36)) is divided by 72.
69
Calculate the remainder when 348 is divided by (-589850)/(-5170) + ((-20)/(-22) - 1).
6
Suppose 3*g = -4*i - 0*i - 28, 5*g - 4*i + 4 = 0. Let v(t) = 2*t**2 + 5*t - 7. Suppose -22 - 14 = -2*n. What is the remainder when n is divided by v(g)?
3
What is the remainder when (24 - (-2625)/(-56))/((-2)/16) is divided by 24?
15
Let m = -2496 - -2505. What is the remainder when 242 is divided by m?
8
Let l = 132 + -111. Suppose 0 = -z - l + 54. Let b = z + 4. What is the remainder when 145 is divided by b?
34
Suppose -6 = -2*s, 0 = -13*v + 12*v - 5*s + 508. What is the remainder when v is divided by 55?
53
Suppose -17*y = -12*y - 2*x - 1304, -3*y - 2*x + 808 = 0. What is the remainder when 829 is divided by y?
37
Let l = 4726 + -4448. Calculate the remainder when l is divided by 161.
117
Suppose 4*s = 3*u + 44, -5*s + 0*s = 5*u - 20. Let d(t) = -17*t + 154. What is the remainder when 196 is divided by d(s)?
16
Let b be (303/(-4))/((-9)/12). Suppose 0 = -4*r - 5*d + b, 3*r + 0*d + 4*d - 75 = 0. What is the remainder when 76 is divided by r?
18
Suppose -3*x + 4 = -11. Suppose -22*s + 41 = -16*s + 11. Suppose -4*a + 305 = -a + 4*k, x*a - s*k - 555 = 0. Calculate the remainder when a is divided by 27.
26
Let c = -403 - -774. What is the remainder when c is divided by 50?
21
Let m(i) = -i**3 - 8*i**2 - 9*i + 4. Let d be m(-2). What is the remainder when 21/(-3) - d - (-414)/6 is divided by 23?
18
Let h(m) = -m**3 + 18*m**2 + 66*m - 1130. Suppose 0 = j - 6*j + 1155. Calculate the remainder when j is divided by h(18).
57
Let s(k) be the third derivative of k**6/60 - 3*k**4/8 + 17*k**3/6 - 17*k**2 + 3. What is the remainder when s(4) is divided by 23?
17
Let j(w) = 97*w + 6637. What is the remainder when 12502 is divided by j(-68)?
38
Suppose 55*j - 152218 = -42*j + 25292. Calculate the remainder when j is divided by 1800.
30
Let j(s) = 10889*s - 119210. Suppose -2*z + 92 + 98 = 0. Calculate the remainder when j(11) is divided by z.
94
Let q(v) = 2*v**2 - 9*v + 53. Let n be q(5). Suppose 0 = -4*j - 38 + n. Calculate the remainder when 22 is divided by j.
2
Let y(a) = 9*a**2 - 5*a + 6. Suppose 19*z - 16*z = -5*x - 30, 0 = 3*x + 9. Calculate the remainder when y(z) is divided by 52.
48
Suppose 8 = -4*k, 6*a = 3*a - 4*k + 97. What is the remainder when a is divided by (66/4)/((-5)/4*(-60)/50)?
2
Let z = -30 + 48. Let q be 3/42*-38 - (-4)/(-14). What is the remainder when q*(-88)/(-4)*1/(-2) is divided by z?
15
Suppose -36*d + 2971 = -1420 - 685. What is the remainder when 582 is divided by d?
18
Let p(w) = w - 28. Let t(k) = -2*k + 55. Let l(m) = -5*p(m) - 2*t(m). Let y be (8 + -3)/(2/10). What is the remainder when 6 is divided by l(y)?
1
Suppose -60*r + 166280 = 16760. What is the remainder when r is divided by 29?
27
Calculate the remainder when 79 is divided by (6/(120/(-50)))/((-1)/10).
4
Suppose -125 = 58*t - 531. Let m(u) = -u**2 - 13*u - 29. What is the remainder when m(-6) is divided by t?
6
Let z be 2*(-18)/(-5 - -2). Let o be (-26)/(-5) + z/15. Suppose 134 = 4*d + v, o*v = v + 10. What is the remainder when 129 is divided by d?
30
Suppose 8 = 4*u - 2*u. Suppose 3*x = -3*n + 291, x + u*x - 473 = n. Suppose 3*a - 2*m = -8 + 44, 3*m + 33 = 3*a. What is the remainder when x is divided by a?
11
Suppose -u + 2*u - 898 = -5*z, 346 = 2*z - 4*u. Calculate the remainder when z is divided by 158.
21
What is the remainder when -5*((-65382)/340 + 2/(-4)) is divided by 6?
4
Let m be 73/((5 - 3) + -1). Suppose -5*c + 0*c + 105 = 4*d, -3*d + 2*c + m = 0. Calculate the remainder when 98 is divided by d.
23
Let p = 10407 - 10391. What is the remainder when (-8)/12 - 122/(-3) is divided by p?
8
Suppose -v - 564 = 2*v. Let t = v - -240. Calculate the remainder when t is divided by 17.
1
Suppose 22*x - 108 = 420. Calculate the remainder when 566 is divided by x.
14
Let h = 177 + -297. Calculate the remainder when 27 is divided by ((-3)/(-12))/((-6)/h).
2
Suppose 1070 = -9*k + 42*k + 377. What is the remainder when 4113 is divided by k?
18
Suppose t - 20 = -2*p, -17*t + 26 = -16*t + 5*p. Calculate the remainder when 2/7 - (4 + 1746/(-14)) is divided by t.
9
Let v be 5/((-75)/(-20)) + 25/(-3). Let u = 9 + v. Suppose -4*o + 6 = -2*o. Calculate the remainder when o is divided by u.
1
Suppose 0 = 598*x - 590796 + 142851 - 261881. Calculate the remainder when x is divided by 93.
71
Let x = 8822 - 8612. What is the remainder when x is divided by 17?
6
Let u(y) = -y**3 + 71*y**2 + 71*y + 172. Calculate the remainder when 471 is divided by u(72).
71
Suppose -5*h + 99 = -4*i + i, 2*h - i - 40 = 0. Let l = 554 - 543. Suppose l*c = -53*c + 512. Calculate the remainder when h is divided by c.
5
Let g(c) be the third derivative of c**5/6 - 2*c**4/3 + 5*c**3/3 - 3*c**2. What is the remainder when g(4) is divided by 37?
32
Suppose -28*m = -26*m - 2*n - 94, 5*m - 298 = -4*n. Calculate the remainder when 685 is divided by m.
37
Suppose 4*i - 38 = -2*c - 0*c, -2*c = -2*i + 10. What is the remainder when (-7)/(196/12) + (-2189)/(-77) is divided by (-9)/((-36)/i)*8?
12
What is the remainder when 332 is divided by (-1136)/4*4/(-16)?
48
Let o be 3 + (3 - -3 - 3) + -2. Let w = o - -8. Let y = 21 - w. Calculate the remainder when y is divided by 7.
2
Let a = 446 + -369. Suppose 3*b - 49 - a = -4*u, -4*u + b = -118. What is the remainder when 112 is divided by u?
22
Suppose -3*v + 186 = 3*v. Suppose -v*j + 0*j = -1054. What is the remainder when j is divided by 9?
7
What is the remainder when (-776)/(-6) - 30/90 is divided by 10?
9
Suppose -4*j = 5*a + 519, 11*j + 369 = 8*j + 3*a. Calculate the remainder when (-12564)/j + (-6)/(-21) is divided by 35.
30
Let f(q) = -49*q - 102. Let z be f(-8). Suppose -288*t - 532 = -z*t. Calculate the remainder when t is divided by 54.
50
Let k = 22 + -398. Let q = k + 407. Calculate the remainder when q is divided by 2/(-4)*(4 - 22).
4
Let s = 4 - 0. Suppose 0 = -s*o + 2 + 98. Let t(y) = y**3 - 36*y**2 + 98*y + 46. Calculate the remainder when o is divided by t(33).
12
Suppose 0 = -2*j + w + 3*w + 82, -w - 199 = -4*j. Let x = 67 - j. Calculate the remainder when 165 is divided by x.
5
Let x(i) = -i**3 + 13*i**2 - 22*i + 6. Let m be x(11). Suppose 109 = m*o + 7. Suppose -57 = o*g - 20*g. What is the remainder when 36 is divided by g?
17
What is the remainder when 417 is divided by 26/(-39)*9 - -34?
25
Suppose -4*m - v - 532 = 0, m + 5*v = v - 133. What is the remainder when 26 is divided by (m/21)/(2 + (-35)/15)?
7
Suppose -20*b + 1529 = 5*b - 496. What is the remainder when 3804 is divided by b?
78
What is the remainder when ((-13)/3 + -1 + 4)*(-6843)/2 is divided by 55?
52
Let l = -3382 + 3889. Calculate the remainder when l is divided by 17.
14
What is the remainder when (-18)/27*10/(40/(-3414)) is divided by 22?
19
Suppose 3*b = 4*y + 704, 5*b = -y + 979 + 179. Suppose -2466*s = -2465*s - b. Calculate the remainder when s is divided by 3.
1
Let h(i) be the second derivative of 35*i**3/6 - 127*i**2/2 + 9*i. What is the remainder when h(6) is divided by 43?
40
Let a(n) = n**2 + 49*n + 392. What is the remainder when 108 is divided by a(-10)?
0
Suppose 553 = -354*f + 361*f. Calculate the remainder when 2209 is divided by f.
76
Let n(l) = 7*l + 30. Let j be n(-5). Calculate the remainder when (-107)/(-2)*(j + 7) is divided by 22.
19
Suppose -5 = -4*u + 5*x, -5*x + 20 = u - 0*u. Suppose 0 = -u*k + 7*k - 16. What is the remainder when 29 is divided by (-134)/(-8) + (-6)/k?
13
Let j(q) = -q**3 - 37*q**2 - 285*q + 45. What is the remainder when 270 is divided by j(-26)?
4
Let y be 431/(-6) + (-7)/42. Suppose 7*v - 3*v - 3*j = 106, 4 = 2*j. Calculate the remainder when (3 + 36/(-8))*y is divided by v.
24
Let i(c) = 101 - 19*c + 4 + 105 + 4. Calculate the remainder when 211 is divided by i(9).
39
Suppose 0 = m - 4*n - 2125, 2*n = -11*m + 12*m - 2127. What is the remainder when m is divided by 164?
161
Suppose 0 = 344*u - 178*u - 31374. What is the remainder when u is divided by 11?
2
Let n = -254 - -259. Suppose -13 - 27 = -n*f. What is the remainder when 25 is divided by f?
1
Suppose 16*y = 20*y - 20. Let n(j) = j**2 + j + 1