alculate the remainder when (-8300)/(-2490) + (-689)/(-3) is divided by 73.
14
Suppose -166 = -5*j - 4*c, 3*j - j - 72 = 4*c. Calculate the remainder when j is divided by 2/((-420)/54 + 8).
7
Let w(r) = -8*r + 12. Let u be w(-6). What is the remainder when (u/(-18) - -3)*-150 is divided by 26?
24
Suppose -13510*m + 3850 = -13485*m. What is the remainder when m is divided by 47?
13
Let p(m) = m**2 - 6*m + 12. Let g be p(7). Suppose g*h - 660 = 15*h. What is the remainder when h is divided by 24?
21
What is the remainder when (10 + 2822)/(-12)*(2/(-4) + -2) is divided by 14?
2
Calculate the remainder when 146 is divided by (-29750)/(-306) - 4/(-36)*-2.
49
Let i = 288 + -254. Let v = -28 + i. Let z = 7 - 4. What is the remainder when v is divided by z?
0
Let j be ((-258)/9)/(8/(-12)). Suppose -m + 5*y = 3*m - j, 27 = 2*m + 3*y. Let p(z) = z**2 - 43*z - 232. Calculate the remainder when m is divided by p(-5).
4
Suppose 672*r - 711*r + 6859 - 502 = 0. Calculate the remainder when r is divided by 82.
81
Suppose -n - 564 = -4*n. Let g = -137 + n. What is the remainder when g is divided by 30?
21
Suppose -32*u = -55*u + 414. Calculate the remainder when 575 is divided by u.
17
Let p be (6/33)/1 + 60/33. Suppose 0 = -p*c + 3*f + 81, -24 = -5*c + 4*c - 4*f. Calculate the remainder when 141 is divided by c.
33
Let b be (3/12)/((-2)/(-27 - -3)). Suppose -b*c - 3 = 0, 3*c + 20 - 77 = -4*t. Let z = t + 0. Calculate the remainder when z is divided by 5.
0
Let d(m) = -3*m + 107. What is the remainder when 177 is divided by d(-6)?
52
Suppose -73*a = -24*a - 8183. What is the remainder when a is divided by 62?
43
Let u(j) = 4*j**2 + 15*j - 8. Let r be u(6). Suppose -10*f - p = -8*f - 119, -4*f + 2*p = -r. Calculate the remainder when f is divided by 31.
27
Calculate the remainder when (-11 - 585/(-52))/(4/8224) is divided by 124.
18
Let m(u) be the third derivative of -u**5/60 + 5*u**4/12 + 2*u**3 - 19*u**2. Let s be m(15). Let v = s - -112. Calculate the remainder when 195 is divided by v.
48
Let k(j) = -17*j. Let a(x) = -5*x - 14. Let p be (54/(-9))/(3/((-18)/(-4))). What is the remainder when a(p) is divided by k(-1)?
14
Suppose -11038 + 9543 = -48*x + 16505. Calculate the remainder when x is divided by 42.
39
Let g be 0*5/(5 + 5). Suppose s + g*s - 2*i - 24 = 0, -43 = -2*s - i. Calculate the remainder when s is divided by 12.
10
Let d(r) = 13*r**3 + 4*r**2 + r - 9. Calculate the remainder when d(3) is divided by 30.
21
Suppose 26*r - 33*r + 56 = 0. Suppose -4*k - 5*s = -73, -36*s + 35*s + 65 = 5*k. What is the remainder when k is divided by r?
4
Let l(b) = -100*b - 2. Suppose 3*i - 375 + 426 = r, -2*r + 98 = -5*i. What is the remainder when l(-1) is divided by r?
20
Let o be (3 - 1) + 37 + -30. Suppose 4*i - 6*i - 320 = 0. What is the remainder when i*(o/15 - 1) is divided by 13?
12
Calculate the remainder when (-2062)/(-10) - -2 - (-2)/40*16 is divided by 11.
0
Suppose 2*y - 635 = 209. What is the remainder when y is divided by (20 + 0)*((-28)/16 + 6)?
82
Let k be (3/(3/2))/((-40)/(-80)). Suppose -3*j + 0*y - k*y = -446, 0 = j + 2*y - 148. Calculate the remainder when j is divided by 11.
7
Let g be -5*(-7 - -5)/4*4. Suppose 102 = -g*b + 602. Calculate the remainder when b is divided by 16.
2
Let h(m) = 7*m**2 - 27*m - 27. Let n be h(-7). Suppose -n = 35*j - 40*j. Calculate the remainder when j is divided by 16.
5
Let j be (-1118)/(-8) - (-10)/(-120)*-3. Calculate the remainder when (-1*2 + 18)*665/j is divided by 34.
8
Suppose -3*k + 99 = -z, 135 = 4*k + 4*z - 13. Let m = 139 - 145. Calculate the remainder when (917/35 + m)*(-1 - -6) is divided by k.
33
Suppose 12*b - 14*b - 34 = 0. Let a(m) = 16*m + 19. What is the remainder when a(7) is divided by (-563)/b + (-6)/51?
32
Calculate the remainder when 2289 is divided by 133 - 125 - 21*-1.
27
Suppose 0 = -13*d + 44*d - 16585. Let g = d + -403. Calculate the remainder when g is divided by 9.
6
Suppose 0 = -10*a + 6*a - 12, 3*z = -a - 27. Calculate the remainder when 190 is divided by (-130)/(-2 - z - 8).
60
Suppose -20*j + 27*j - 49 = 0. Suppose 0 = 2*y + j*a - 11*a - 46, -4*y + 142 = 2*a. Let x(s) = -32*s + 2. What is the remainder when x(-4) is divided by y?
31
Suppose -10*n + 7*n + 5*w = 9, -2*n - w + 7 = 0. Suppose -9*z = -n*z - 154. What is the remainder when z is divided by (-1)/(-3) - (-14)/3?
2
Suppose 3*q - j + 28 = -101, 0 = 2*j. Let w = -145 - q. Let t = -77 - w. What is the remainder when t is divided by 2?
1
What is the remainder when (6/(-27))/(211095/(-105543) + 2) is divided by 434?
2
Let h = -3746 + 6519. Calculate the remainder when h is divided by 30.
13
Let z(g) = -g**3 + 24*g**2 + 11*g - 163. Calculate the remainder when z(14) is divided by 12.
7
Suppose 3*n - 5*n = 3*g - 647, g - 225 = -3*n. What is the remainder when 277 is divided by g?
64
Suppose -478 = 12*w + 242. Calculate the remainder when 64 is divided by (w/(-90))/(2/99).
31
Let k(g) = 6*g**2 - 51*g + 1020. Calculate the remainder when k(0) is divided by 176.
140
Suppose -6*y = y - 2*y. Let b(f) = -f**3 + f + 8. Calculate the remainder when 39 is divided by b(y).
7
Let f = 238 + -250. Calculate the remainder when 63/54 + -1 + (-1534)/f is divided by 45.
38
Let u = 419 - 123. Let g = 318 - u. Calculate the remainder when 28 is divided by g.
6
Let j = -1915 - -2785. What is the remainder when j is divided by 224?
198
Let r = -4267 + 4466. What is the remainder when r is divided by 174?
25
Suppose 284*d - 282*d = -5*z + 51, d + 2*z - 27 = 0. What is the remainder when 538 is divided by d?
10
Suppose -78*j + 17582 = -24304 + 7332. What is the remainder when 886 is divided by j?
0
Let k(n) = 5*n**2 + 147*n + 60. Calculate the remainder when 63 is divided by k(-29).
1
Let f(k) = 178*k**3 + 2*k**2 - 3*k. Let c be f(1). Suppose -5*l = c - 827. Calculate the remainder when l is divided by 7.
4
What is the remainder when 678/10 + 7/(105/18) is divided by 8?
5
Suppose 5*f + 3*c = 5*c - 1810, 4*f + 3*c = -1425. Let a = f + 508. What is the remainder when a is divided by 14?
8
Suppose c = -3*c - 4. Let h be -74 - (0 + (0 + 1)/c). Let f = 95 + h. Calculate the remainder when 64 is divided by f.
20
Let h(b) = 50*b - 3580. What is the remainder when 7207 is divided by h(73)?
67
Let d = -12913 - -13753. What is the remainder when d is divided by 157?
55
Suppose -5*p = -188 - 2. Suppose -3*h + 33 = -0*h. What is the remainder when p is divided by h + 8/(-5 - -3)?
3
Suppose -4*a + 420 - 278 = -2*o, 5*a - o = 179. What is the remainder when 907 is divided by a?
7
Let q be 64/(-672) + 128/21. Suppose 5*t = -2*k - q + 130, -5*k + 3*t = -279. Calculate the remainder when k is divided by 31.
26
Let y be (-4 + 10/2)*8/1. What is the remainder when 195 is divided by 57/2 + (-4)/y?
27
Suppose -4*c - 13 = -3*k, -2*c + 11 = 4*k + 1. Suppose -k*n = -4*n + 27. Calculate the remainder when (-2)/((-6)/311) + 1550/4650 is divided by n.
23
Let n = 5921 - 5906. Let i(c) = 9*c - 1. What is the remainder when i(4) is divided by n?
5
Suppose -8*f - 24*f + 8277 = -f. Calculate the remainder when f is divided by 17.
12
Let h(o) = -167*o + 2746. What is the remainder when 2011 is divided by h(16)?
13
Let x(w) = -w**3 - 3*w**2 - 57*w - 322. Suppose -3*t = 2*s + 3*s - 451, 5*t + 168 = 2*s. What is the remainder when s is divided by x(-5)?
11
Let b = -218 - -400. Suppose -21*h - b = -938. Let k(f) = -70*f**3 + 1. Calculate the remainder when k(-1) is divided by h.
35
Let n be 1 + 65*(2 + -3). Let q = n - -239. What is the remainder when q is divided by 44?
43
Let x = -494 + 434. Calculate the remainder when (-16)/((-1)/(2 + -1)) is divided by 44/x*-3 - (-1)/(-5).
0
Let q = 2275 + -1657. Calculate the remainder when q is divided by 9.
6
Suppose -6*j + 0*j = 2220. Let o(n) = -n**3 + 10*n**2 + 38*n + 25. Calculate the remainder when 3/4 - j/8 is divided by o(13).
11
Let s(w) be the second derivative of 65*w**3/6 + 103*w**2 - 247*w. What is the remainder when 13 is divided by s(-3)?
2
Let p = -37 + 40. Suppose -p*s = -58 - 101. Let u = -15 + s. Calculate the remainder when 72 is divided by u.
34
Let i(v) = 155*v + 4443. Calculate the remainder when 5251 is divided by i(-28).
101
Suppose -2*t - 42 = -4*c - 0*t, -2*t = -10. Suppose c = 7*l - 1. Suppose 328 = -l*j + 10*j. Wh