by z.
14
Suppose -16 = 4*o, -4*n - 24 = 2*o + 200. Let c = -38 - n. Calculate the remainder when -9 + (3564/(-27))/(6/(-9)) is divided by c.
13
Let n(c) = -c**3 + 96*c**2 - 86*c - 849. What is the remainder when 2000 is divided by n(95)?
2
Suppose 3*m - 175 + 124 = 0. Let n(p) = -p + 31. Calculate the remainder when 20 is divided by n(m).
6
Suppose 7*b = -3*y + 9*b + 212, 3*y - 213 = 3*b. What is the remainder when 158 is divided by y?
18
Suppose 6*o - 5*o - 3*f = 217, 36 = -4*f. What is the remainder when 629 is divided by o?
59
What is the remainder when 1970 - (-1 + (-329)/141 + 62/6) is divided by 646?
25
Let m(c) = 4*c. What is the remainder when (2 + 3)*(-1490)/(-25) is divided by m(1)?
2
Let v(t) = t + 125. Let h be v(-14). Suppose 0 = -2*z + 2*b + 228, -b = 3*z - h - 215. What is the remainder when z is divided by 19?
15
Suppose -17 = -2*s - 9. Let b = 184 - 166. Calculate the remainder when (-3 + (-21)/6*-1)*b is divided by s.
1
Let w(q) = 18*q**2 + 20*q + 1. Let i(f) = -f**3 - 3*f**2 + 6*f + 4. Let m be i(-4). What is the remainder when w(m) is divided by 71?
67
Let f(s) = 7*s + 80. Let l be f(-6). Suppose 0 = -48*k + l*k + 610. Calculate the remainder when k is divided by 9.
7
Let q = 105 + 51. Calculate the remainder when 3429 is divided by q.
153
Suppose 0 = 84*w - 2139 - 4665. What is the remainder when 363 is divided by w?
39
What is the remainder when 129 is divided by (-7)/42 - (-3)/(36/1526)?
2
Let q = -36 - -3217. What is the remainder when q is divided by 16?
13
Let j(b) = -4*b**3 + 2*b**2 + b. Let y be j(-1). Let f = y + 97. Suppose -41*n + 26 = -40*n. Calculate the remainder when f is divided by n.
24
Let f(w) = -w**2 - 8*w + 2. Let n = -37218 - -37315. What is the remainder when n is divided by f(-7)?
7
Let s = 43 + 14. Let r(g) = 13*g**2 + 25*g + 20. Let b(z) = -2*z**2 - 1. Let l(f) = -6*b(f) - r(f). What is the remainder when s is divided by l(-24)?
7
Suppose -1715 = -a - 31*a - 17*a. What is the remainder when a is divided by 18?
17
Let u = -4743 - -4748. Calculate the remainder when 854 is divided by u.
4
Suppose -43 = -6*i + 47. Suppose -i*a = -14*a - 50. Calculate the remainder when 95 is divided by a.
45
Let x(m) = -37 + 9*m**2 + 23 + 2*m + 26. Let y be x(5). Let s = y + -144. What is the remainder when s is divided by 7?
5
Calculate the remainder when (-1 - 4*3) + (73 - -607) is divided by 31.
16
Suppose -4*i - 8 = 4*b, 3 = -b - 5*i + 3*i. Let h = 22 + 6. Let m = b + h. Calculate the remainder when m is divided by 10.
7
Suppose -3*y = -4*y + 3. Let p = y + 4. Calculate the remainder when 316/10 - ((-65)/(-25) + -3) is divided by p.
4
Suppose 56090 = -3*x + 74*x. What is the remainder when x is divided by 118?
82
What is the remainder when -4 - -8*21/28 - (-11 + -2) is divided by ((-6)/(-5))/((-3)/(-10))?
3
Let c(v) = -14*v - 1. Let s(x) = 15*x - 39. What is the remainder when c(-14) is divided by s(3)?
3
Suppose -3*l + 4*a = -941, 0 = 99*l - 104*l + 5*a + 1560. Calculate the remainder when l is divided by 100.
7
Let f = 5 - -35. Let v = -2521 - -2528. What is the remainder when f is divided by v?
5
Let c = -11420 - -12551. What is the remainder when c is divided by 9?
6
Let j be 0/(-3 + 2) + (3 - -51). Let y be (j/14 + -3)/(2/56). Let p = y - -27. What is the remainder when p is divided by 28?
23
Let v = 15 + 20. Let z(s) = 99*s - 2007. Calculate the remainder when z(22) is divided by v.
31
Let i(o) = -467*o - 5467. Calculate the remainder when i(-17) is divided by 25.
22
Let z(o) = o**2 + 23*o - 456. What is the remainder when z(-39) is divided by 17?
15
Let a(s) = -s**2 + 6*s + 9. Let z be a(7). Suppose 3*k = -2*d + 21, -3*d = -2*k - z + 3. What is the remainder when 100 is divided by (13/2 + 2)*(k - -1)?
49
Suppose -5*y - 15 = 4*f, -3*y + 3*f + 8 + 10 = 0. Let h(v) = 19 - 12 - 10 - 7 + v. Calculate the remainder when h(13) is divided by y.
0
Let m = 21902 + -15953. Calculate the remainder when m is divided by 24.
21
Suppose 13*j - 172 - 90 + 67 = 0. Calculate the remainder when 306 is divided by j.
6
Let a(h) be the second derivative of 11*h**3/2 - 25*h**2/2 - 72*h. Suppose 0 + 25 = 5*l. Calculate the remainder when a(1) is divided by l.
3
Let g = -1223 - -1344. What is the remainder when 705 is divided by g?
100
Let u(g) = 33*g - 257. Let o be u(-14). Let a = o + 742. Calculate the remainder when 481 is divided by a.
21
Let t = 62 + 19. Suppose 297 - t = 2*x. Suppose -5*b = 5*h - x + 28, -3*h + 28 = -b. What is the remainder when 19 is divided by h?
8
Suppose -90*g + 21 = -83*g. Let l = -12 + 23. Calculate the remainder when (1 - g/(84/188))*-7 is divided by l.
7
Let b = -11120 - -11168. Calculate the remainder when 779 is divided by b.
11
Suppose 3*j + 3*p = -2*p + 32, 0 = -j + 3*p - 8. Calculate the remainder when (-18 - -6)*j/(-6) + 2 is divided by (12/24)/(1/16).
2
Suppose -278*s + 3672 = -274*s. Suppose 31*m - s = 105. What is the remainder when 140 is divided by m?
8
Suppose 0 = -9*c - 8*c - 799. Let m = 2 - 3. Calculate the remainder when 137 is divided by (-6 - -5)*(c - m).
45
Suppose -5*o - 96 = -2*l, -48 = -l + 4*o - 8*o. Let v be ((-20)/(-4) - 5) + l. Suppose 5*u - v - 77 = 0. What is the remainder when u is divided by 7?
4
Let v be 6713/28 - 1/(-8)*2. Let w = -156 + v. What is the remainder when w is divided by 43?
41
Let b(j) = 91*j**3 + 3*j**2 - 4*j - 4. Let w(h) = -363*h**3 - 12*h**2 + 18*h + 17. Let s(y) = 9*b(y) + 2*w(y). What is the remainder when s(1) is divided by 25?
19
Let w(d) = -28 + d**3 - 12*d**2 - d**2 - 9*d + 6 - 2*d. Let y(f) = -f**2 + 7*f + 1. What is the remainder when w(14) is divided by y(5)?
9
Let b(r) = -4*r + 29. Let s = -14 + 1. What is the remainder when b(s) is divided by (0 + -9 - -2)*-2?
11
Suppose 9*m - 252 = 5*m. Let y = m - 54. What is the remainder when 17 is divided by y?
8
Suppose 50 + 55 = 7*w. Suppose r + w = 3*l + 58, -3*r = 5*l - 143. Calculate the remainder when 85 is divided by r.
39
Let v be -2520 - (28/(-7) - (-1 - 3)). Calculate the remainder when v/(-13) - 18/(-117) is divided by 49.
47
Suppose -3*k + 263 = c, -6*k - 3 = -9*k. Calculate the remainder when 1547 is divided by c.
247
Let h(z) = 2*z**2 + 6*z - 1445. Let f(y) = 34*y + 3. What is the remainder when h(-34) is divided by f(1)?
34
Suppose -4*z = -309 - 1966 - 1133. What is the remainder when z is divided by 103?
28
Let b = -2 + 10. Let n(l) = -33*l - 2. Let v = -573 - -572. Calculate the remainder when n(v) is divided by b.
7
Let k be (-161)/(-2) + (28/(-8) - -4). Calculate the remainder when 320 - ((-34)/18 - 9/k) is divided by 17.
16
Let y = 90 - 88. Calculate the remainder when 0 + (-124)/(-1) + y is divided by 44.
38
Suppose f - 14 = -0*f + 3*d, -f + 14 = d. What is the remainder when (-1946)/695*(-4 + -1) is divided by f?
0
Let w(m) be the third derivative of m**5/15 - 5*m**4/24 + 7*m**3/2 - 27*m**2. What is the remainder when 205 is divided by w(3)?
37
Let x(g) = 33*g**3 + g - g**2 + 1 - 37*g**3 + 0*g**2. Let u be x(-1). Suppose 0 = u*c - 69 - 15. Calculate the remainder when 53 is divided by c.
25
Suppose 0 = 10*x - 41 - 19. Suppose -4*w + 446 = 5*c, x*c + 106 = 7*c + 5*w. Calculate the remainder when c is divided by 13.
8
Suppose -5*u + 2*d = -d - 2241, 2*u - 909 = -3*d. Calculate the remainder when u is divided by 4.
2
Let t(f) = -f**3 + 5*f**2 + 7*f. Let n be t(6). Let k = -416 + 436. Calculate the remainder when (33/2)/(n/36) is divided by k.
19
Let a(f) = 2*f**3 - 40*f**2 - 10*f - 59. Let l be a(21). Let w = 631 - l. Let v = 11 - -42. What is the remainder when v is divided by w?
17
Let n = -37 + 63. Let z = 55 - n. Let w = -259017 + 259069. What is the remainder when w is divided by z?
23
Suppose -v = 3*v - q + 85, 107 = -5*v + 2*q. Let l be ((-6)/2)/(v/14). Suppose r = l*c - 2*r - 23, -9 = 3*r. What is the remainder when c is divided by 5?
2
Let j be (-48)/84 - (-333)/7. Let p = j - -43. What is the remainder when p is divided by 13?
12
Suppose -590 = -k + 2*o - 3*o, -5*k - 4*o + 2949 = 0. What is the remainder when k is divided by 83?
8
Let a(i) = -673 + 349 - 2*i + 351. What is the remainder when 18 is divided by a(8)?
7
Let f = 805 - 426. Calculate the remainder when f is divided by 16.
11
Let n = 102 - 100. Suppose 0 = 3*r - 4*q - 6, n*r + 4 - 31 = -5*q. Suppose 64 + r = 7