alculate the remainder when (6/27*u)/((-2)/855) is divided by 18.
15
Let q(v) = -2*v**2 + 23*v + 17. Suppose a + 62 = 3*z - 104, 0 = z - a - 56. Suppose z = 4*u + 7. What is the remainder when 7 is divided by q(u)?
2
Suppose h = o - 5, -4*h - 10 - 6 = -3*o. Suppose 0*z - 24 = -o*z. Calculate the remainder when (2/(-5))/((-2618)/101915) - (-4)/(-7) is divided by z.
3
Let t(d) = -17*d - 49. Let q be t(-13). Suppose -a - 4*a = -f - q, -5*f = -a + 20. Calculate the remainder when a is divided by 20.
15
Suppose -10*c + 124 + 16 = 0. Suppose 2*r + 5*a = -15, c = -3*a - 1. Calculate the remainder when -6*(-2 + (-2)/(-4)) is divided by r.
4
Let j = 87 - -101. Suppose 15*h = 4*l + 11*h - 400, 0 = 4*l + 4*h - 368. Calculate the remainder when j is divided by l.
92
Let y be (-3 - (2/(-2))/1)/(-1). Suppose 0 = 4*a + y*j - 20, -3*a = -6*j + 9*j - 15. Suppose -a*b = -577 + 17. What is the remainder when b is divided by 23?
20
Let z = 343 + -344. Let v(b) = 10*b**2 - 4*b - 3. What is the remainder when 42 is divided by v(z)?
9
Suppose 2*p + 4*o - 1128 = 112, -5*p - 2*o + 3140 = 0. Calculate the remainder when p is divided by 132.
102
Suppose 2*d = d + 1. Let k(x) = x**3 + x**2 - 21*x + 3. Let c be k(4). Calculate the remainder when (-12*(-9)/18)/(4 + c) is divided by d.
0
Suppose -145767 = -343*j + 38081. Calculate the remainder when j is divided by 84.
32
Let s = 13622 - 13591. Calculate the remainder when 1614/15 - 6/(-15) is divided by s.
15
Let c(k) = 98*k**2 + 266*k + 1516. Calculate the remainder when c(-6) is divided by 38.
28
Suppose -5*s + 212 = 57. Let v = 96 - -5. Let y = v - 89. Calculate the remainder when s is divided by y.
7
Suppose 4*m + 1 = 9. Let i be 1/(m/(-6)) - -8. Suppose i - 56 = -a. What is the remainder when a is divided by 27?
24
Suppose -16482 = -159*u + 8640. What is the remainder when u is divided by 60?
38
Let c = 3452 - 3410. What is the remainder when 293 is divided by c?
41
Let z = 227 + -227. Suppose z = 3*o, -4*w - 4*o = w - 260. What is the remainder when w is divided by 8?
4
Suppose -10 = -2*r - 2*h, -4*r - 2*h + 14 = -2. Suppose -4*y + 567 = -3*q + 102, -r*y + 2*q = -350. What is the remainder when y is divided by 31?
27
Let y(m) = -m**3 - 79*m**2 - 220*m + 6043. Calculate the remainder when y(-75) is divided by (-41)/2*2/(-1).
2
Let u(a) = a**3 + a - 1. Let n(l) = -2*l**3 + 4*l**2 - 6*l. Let i(z) = -n(z) - 5*u(z). What is the remainder when i(-3) is divided by 24?
23
Let b = -2865 + 2918. What is the remainder when 144 is divided by b?
38
Let m(q) = 3*q - 31. Let t(n) = n. Let a(u) = -m(u) - 6*t(u). What is the remainder when 118 is divided by a(0)?
25
Let b = -39 + 31. Let d = b + 16. Calculate the remainder when (-2)/d + (-1)/((-8)/202) is divided by 16.
9
Let o = -3559 - -3639. What is the remainder when 1437 is divided by o?
77
Let n(v) = 8*v**3 - 9*v**2 - v + 5. What is the remainder when n(3) is divided by 30?
17
Let g = -410 - -710. Let j = g - 238. What is the remainder when 431 is divided by j?
59
Let v = 2513 - 2486. What is the remainder when 108 is divided by v?
0
Let k = -18201 + 18367. Calculate the remainder when 464 is divided by k.
132
Let y(o) = 24*o + 227. What is the remainder when y(-5) is divided by 23?
15
Let j = 43 - 39. Let w be (2 - 12/j) + -2 + 1. Calculate the remainder when (-2 - (w - 1/(-1)))*-71 is divided by 15.
11
Let w(h) = h**2 + 106*h + 1848. What is the remainder when w(-19) is divided by 54?
33
Let z = 6059 - 5995. Calculate the remainder when 331 is divided by z.
11
Let t = 16 + 49. Let u = t - 75. Calculate the remainder when (u/(-6))/(2*1/84) is divided by 18.
16
Let s = 36776 - 36743. Suppose 5*d - 20 = 4*d. What is the remainder when s is divided by d?
13
Let y be 50/(-4)*48/(-60). Let l = y + -10. Suppose l = 3*d - 148 - 80. Calculate the remainder when d is divided by 20.
16
What is the remainder when (-2 + 8*(-185)/(-30))*276/23 is divided by 110?
18
Let q = -3463 - -3512. Calculate the remainder when 185 is divided by q.
38
Let l(v) = -149*v + 1525. Calculate the remainder when 2727 is divided by l(10).
32
Let c(f) = 42*f**2 - 19*f - 17. What is the remainder when 349 is divided by c(-1)?
41
Let k(t) be the second derivative of t**5/20 + 7*t**4/12 + t**3/2 - 3*t**2/2 - 10*t. Let y be k(-6). What is the remainder when 15 is divided by (y/6 + -2)*8?
3
Suppose 0 = 12*i - 16*i + 16, 3*i - 324 = 4*f. Let u(m) = m - 121. Let w be u(0). Let o = f - w. Calculate the remainder when 126 is divided by o.
40
Suppose 0*l - 18 = -2*l. Let y = -804 + 1194. What is the remainder when 2/((-5)/y*-3) + -1 is divided by l?
6
Suppose -2*h = 3*c + 6 + 10, -c = -h - 3. Calculate the remainder when (c/2)/(35/(-3395)) is divided by 51.
46
Suppose -a - 5*o + 55 = 0, 4*o - 12*o + 220 = 4*a. Suppose 0 = -9*s + 4*s + 1075. Calculate the remainder when s is divided by a.
50
Suppose -36*s - 30*s + 73*s = 5481. What is the remainder when s is divided by 197?
192
Suppose 2*o + 8 = 4*h, -7*o + 5*h - 7 = -3*o. Suppose -34*s - o = -240. What is the remainder when s is divided by 6?
1
Suppose 0 = 5*i + n + 10 - 46, 30 = 4*i + 2*n. Calculate the remainder when -1 + ((-3)/(-5))/1 + (-13122)/(-405) is divided by i.
4
Suppose o + y + 2 = 4, -y - 6 = -3*o. Let k(v) = -8*v - v**o - 6 + 17 - v + v. Calculate the remainder when k(-8) is divided by 3.
2
Suppose -11*b = -5*b + 168. Calculate the remainder when (-4 + (-32)/(-14))/(6/b) is divided by 5.
3
Suppose -366 = -4*d - 4*b + 3*b, 3*d = -5*b + 283. Suppose c = -2*o + d - 11, 0 = -4*c - 4*o + 336. Calculate the remainder when c is divided by 33.
22
Suppose -3*d = -4*p - 1543, -2*d - 4*p + 1011 = -11. Calculate the remainder when d is divided by 65.
58
Suppose a - 185 = 69. What is the remainder when a is divided by 4/(-34) + (-5238)/(-306)?
16
Let q = 120 - 89. Suppose 349 = -8*y + 1333. What is the remainder when y is divided by q?
30
Calculate the remainder when 780/14 - (-6)/21 is divided by (-88)/(-198)*4059/82.
12
Calculate the remainder when 8/(-14) + (4243608/238)/18 is divided by 229.
74
Let g(f) = -2*f**2 + 9*f + 30. Let b be g(6). Suppose 188*z - 184*z = b. Calculate the remainder when 59 is divided by z.
2
Let g(w) = 4*w**2 + 65*w + 1373. What is the remainder when g(-18) is divided by 75?
74
Let x be (-136 + -1)/((-7 + 9)/(-2)). Let u = 149 - x. Let p = 2 + 0. Calculate the remainder when u is divided by p.
0
Suppose -22*o - 174 = 134. What is the remainder when 159 is divided by o/7 - 0 - -44?
33
Suppose 4*f - 8*f + 780 = 4*h, 2*f - h - 378 = 0. Calculate the remainder when f is divided by 22.
15
Let c = 334 - 521. Let s = c + 200. Calculate the remainder when 38 is divided by s.
12
Suppose 153 = -5*w - 2*o + 381, -4*o - 160 = -4*w. Calculate the remainder when 175 is divided by w.
43
Calculate the remainder when 6017 is divided by 72/7 + 130/(-14) + 207/23.
7
Suppose -5*k + 9 = -2*k. Suppose -2*y = -k*n - 18, 5*n + 40 = 7*y - 2*y. Suppose -3*f - y*f + 90 = 0. What is the remainder when 35 is divided by f?
5
Let c be 3*7/((-21)/9). What is the remainder when (225/(-20))/(c/36) is divided by 28?
17
Suppose 3*z - 273 = -1062. Let c = -205 - z. What is the remainder when c is divided by 20?
18
Suppose -2*j - 3*q = -16 + 3, 0 = -5*q + 5. Suppose 4*w - 181 = j*y, 2*w + 0*w - y - 89 = 0. What is the remainder when w is divided by 5?
4
Suppose 5*b - 9 = 83*y - 84*y, -36 = -4*y - 3*b. Let v = -8 + 4. What is the remainder when (14/3)/(v/(-30)) is divided by y?
8
Let u = -82 - -86. Let k(g) = 32*g - 11. Let a(p) = -32*p + 10. Let t(i) = 2*a(i) + 3*k(i). What is the remainder when t(u) is divided by 39?
37
Let l = 36 + 116. Let r = -40227 - -40268. Calculate the remainder when l is divided by r.
29
Let i(k) = -4*k - 70. Let p be i(-8). Let h = 37 + p. What is the remainder when 52 is divided by -2 - (-3 - ((h - -3) + 27))?
22
Suppose 5*v + 3*y = 269, -4*y + 78 = 4*v - 142. What is the remainder when 3222 is divided by v?
50
Suppose -20*f - 288 = -8*f. What is the remainder when 1/(1/14) - f/8 is divided by 11?
6
Suppose 131*w + 437 = 3*k + 126*w, -5*k = w - 775. Calculate the remainder when k is divided by 58.
38
Let k(x) = x**2 - 5*x + 3. Let d(g) be the second derivative of g**2/2 + 16*g. Let z(t) = 2*d(t) + k(t). Calculate the remainder when 52 is divided