
Let v(y) = -y**2 - 6*y + 7. Suppose 1 + 5 = -c. What is the remainder when v(c) is divided by (82/112 + (-71)/(-568))/((-3)/(-21))?
1
Let h(v) = -8*v - 30. Let s be h(-4). Suppose -s*t + 14*t = 1128. Calculate the remainder when t is divided by 36.
22
Let k = 908 + -503. What is the remainder when (k/(-18))/((-15)/70) is divided by 10?
5
Suppose -4784 = 16*m - 32*m. Suppose -4*k + m = -257. Calculate the remainder when k is divided by 60.
19
Let s(d) = d**3 - 56*d**2 + 108*d + 9. Calculate the remainder when 1977 is divided by s(54).
6
Let a(i) = 86*i + 22764. Let z(g) = 16*g. Calculate the remainder when a(-264) is divided by z(1).
12
Suppose -2*k + 3*w = -142, 2*k - 7*w - 78 = 64. What is the remainder when 276 is divided by k?
63
Let a(r) = 441*r - 43*r**2 + 445*r - 49 - r**3 - 934*r. What is the remainder when a(-42) is divided by 19?
13
Let b = 113 - 111. Suppose -b*k + s = -12, 3*s + 6 = -k - 2. Suppose -4*v + 134 = -z, -k*v = -0*v - 5*z - 126. What is the remainder when v is divided by 18?
16
Calculate the remainder when 2/(-8) + 6798/24 + -5 is divided by 35.
33
Suppose 13*y + 294 = -200. Let s = y + 95. What is the remainder when s is divided by 2/6 - (-70)/6?
9
Let p = 36 + -69. Let l = p + 44. Suppose -4*f - 4*b + 100 = -72, 5*b = -4*f + 176. Calculate the remainder when f is divided by l.
6
Let l = 241 - 408. Let i = 25 + l. Let d = -56 - i. What is the remainder when d is divided by 15?
11
Let l(u) = -5*u + 6. Let f be l(-2). Let b = 24 - f. Calculate the remainder when 19 is divided by b.
3
Suppose 4*k = a + 2*k + 5, 3*a = 3*k - 18. Calculate the remainder when 2202/14 + (-4)/14 is divided by 1 + 3*a/(-21) - -30.
29
Suppose o - 2*o + 18 = 0. Suppose 0 = -7*k + 13*k + o. What is the remainder when 60 is divided by 25 - 1 - (6 + k)?
18
Let s(d) = -51*d + 212. Let r be s(7). Let o = 162 + r. Let y = -34 + 67. What is the remainder when y is divided by o?
16
Suppose -523*b + 411*b = -131824. What is the remainder when b is divided by 155?
92
Let f = -9 + 28. Let n(j) = 12*j - 11. Let l be n(4). Suppose -l*u - 651 = -44*u. What is the remainder when u is divided by f?
17
What is the remainder when 501 is divided by 10/(11*(-4)/(-506))?
41
Let g(q) = -10*q + 140. Calculate the remainder when g(10) is divided by 18.
4
Let p(g) = -g**3 - 10*g**2 + 13*g + 18. Let h be p(-10). Calculate the remainder when 155/3 - (h/(-24) + -5) is divided by 16.
4
Let k be 0 + 0 + (6 - (2 - -2)). Suppose -k*z + 347 - 99 = 0. Calculate the remainder when z is divided by 9.
7
Let r be (-2)/(-12) + (-1163)/(-6). Let g = 199 - r. Calculate the remainder when 13 is divided by g.
3
Let c = -1026 + 1484. Let d = c + -376. What is the remainder when 227 is divided by d?
63
Let j = 28313 - 20650. Calculate the remainder when j is divided by 11.
7
Let z be 3 + 107/(-3 + 4). Suppose 0 = 5*x + 5*f - z, 3*x = -5*f - 5 + 65. Let r(u) = 2*u**2 - 3*u + 4. Calculate the remainder when x is divided by r(3).
12
Let r = 35 - -37. Suppose 2*a + r = 3*x, -2*x = a + 2*x + 47. Calculate the remainder when a*(52/(-12) + 4) is divided by 5.
3
Suppose -4*h - 2 - 6 = 0, 0 = -5*n - 2*h + 301. Let a = n + -99. Let f = a + 52. What is the remainder when 17 is divided by f?
3
Calculate the remainder when 3/18 - (-20 - (-7130)/(-60)) is divided by 8.
3
Let k = -38 - -34. Let z be 400/220 + k/(-22). Suppose 3*w - 27 = 3*s, -3*w - z*s + 67 - 20 = 0. What is the remainder when w is divided by 6?
1
Let d(k) = -7*k + 14. Let w be d(-10). Suppose -3*p = p - w. Let a(l) = -8*l + 16. Calculate the remainder when a(-11) is divided by p.
20
Let k(p) = 3*p**3 + 2*p**2 + 3*p + 3. Suppose 36*n - 60 = 16*n. Calculate the remainder when k(n) is divided by 38.
35
Suppose -5*s + 2*u + 131 = 0, s + 44*u = 49*u + 40. Suppose -708 = -s*g + 717. Calculate the remainder when 71 is divided by g.
14
Suppose 0 = -2*o + 2*v + 25 - 7, -4*v = -20. Suppose 3*x - 39 = -5*d, -o = 4*x + 4*d - 74. Calculate the remainder when 140/4 - (2 - 1) is divided by x.
16
Let g = 3 - -53. Let w = g + -29. What is the remainder when 8/28 - (-1278)/28 - 230/(-3220) is divided by w?
19
Suppose t + 4*z - 20 - 72 = 0, -2*t = -4*z - 208. Calculate the remainder when 181 is divided by t.
81
Suppose 6654 = 5*d - 4*m, 0*d + 5322 = 4*d - 2*m. Let a = d - 782. What is the remainder when a is divided by 24?
20
Suppose -88*v + 1099 = 70*v - 1271. What is the remainder when 3463 is divided by v?
13
Let x be ((-21)/(-56))/((-2)/(-16)). Suppose -9*c + 14 = j - 7*c, 3*c - 42 = -x*j. Suppose 2*h - 24 = j. Calculate the remainder when h is divided by 5.
4
Suppose 95*s = -49*s - 6*s + 13350. What is the remainder when 395 is divided by s?
39
Let c(r) = -r**2 + 13*r - 13. Let i(q) = 2*q**2 - 4*q - 46. Calculate the remainder when i(9) is divided by c(10).
12
Suppose 0 = -30*u + 39*u - 198. Suppose 0 = -u*j + 26*j - 236. What is the remainder when j is divided by 26?
7
Let l = 43 - 15. Let q = -253508 + 253869. What is the remainder when q is divided by l?
25
Let z(p) = 15*p**2 + 672*p - 109. Calculate the remainder when 37 is divided by z(-45).
11
What is the remainder when 105 is divided by -13*(-2 - -7)/(-5)?
1
Suppose 484 = t + 3*c, -5*c = -3*t + 4*t - 480. Calculate the remainder when t is divided by 5*(39/(-4))/((-1005)/268).
9
Let x(q) = q**3 - 3*q**2 - 9*q + 3. Let w be x(5). Suppose 0 = -w*f + 627 - 107. Let k = f - -17. What is the remainder when k is divided by 17?
14
Let n = -448 - -664. Let y be (5 - n/40)*(-9 + -1). Suppose p = 3*s + s + 8, -y*s = -5*p + 104. What is the remainder when 66 is divided by p?
18
Suppose -5*k - 3*q + 8*q = -3035, -5*k + q = -3019. Let y = k + -589. What is the remainder when 614 is divided by y?
12
Suppose 15*w - 99 = 171. Calculate the remainder when (-96 + 6)*4/(-30)*w is divided by 20.
16
Suppose 938952 = 1704*m - 1648*m. Calculate the remainder when m is divided by 26.
23
Suppose 379 + 1291 = 5*s. Suppose -4*m + 61 = 5*x, 0*x - 4*x - 10 = -m. Calculate the remainder when s is divided by m.
12
Let a = -271 + 291. Suppose 59*h - 70*h + 132 = 0. Calculate the remainder when a is divided by h.
8
Suppose 0 = -3*v - g + 206, v - 78 = -0*g + 2*g. Let h be v/4 + 60/(-40). Let p = 26 + h. Calculate the remainder when p is divided by 9.
6
Suppose 190 - 168 = -2*o. Let l be 2 + 3 + 8 + o. What is the remainder when 74 is divided by -1 + (-206)/(-10) + l/5?
14
Suppose 40*v - 51*v = 0. Suppose -k = -2 + 6, v = -4*h + 5*k + 2012. What is the remainder when h is divided by 21?
15
Let k(x) = 3*x**2 + 70*x + 225. Calculate the remainder when 611 is divided by k(-20).
11
Suppose 3*p + q - 1732 = -4*q, 0 = -5*q - 5. Calculate the remainder when p is divided by 186.
21
Let f be -55*(33/(-15) + 3). Let z = f - -51. Suppose z*g - 5*g = 42. Calculate the remainder when 102 is divided by g.
18
Let y = 145 + -32. Let m(q) = -10*q**2 - 342*q - 1013. Let c be m(-3). Let k = y + c. What is the remainder when 142 is divided by k?
34
Let z = -48 + 44. Let p = 101 - 38. Calculate the remainder when p is divided by 3*4/(-18)*78/z.
11
Let n = -2203 + 2415. What is the remainder when 267 is divided by n?
55
Let r(w) = -3*w + 291 - 6*w - 255. Calculate the remainder when r(-13) is divided by 14.
13
Let x(u) = -5*u - 52. Let k be x(-12). Suppose 0*d + 120 = k*d. What is the remainder when 20 is divided by d?
5
Let i = 8175 - 8173. Calculate the remainder when 1368 is divided by i.
0
Suppose -1 = 2*t - 3. Let k(a) = -6*a - 5. Let j be k(t). Let r(w) = -4*w - 6. Calculate the remainder when 111 is divided by r(j).
35
Let w(q) = 13*q**2 - 9*q - 44. What is the remainder when w(8) is divided by 16?
12
Let y = 0 - -101. Let d = y + -74. Suppose -4*f = 5*g - f - 72, f = 4*g - 61. Calculate the remainder when d is divided by g.
12
What is the remainder when (-733600)/(-420) + (-2)/(-6) is divided by 28?
11
Suppose -6*x + 11*x - 305 = 0. Suppose -2*c + 4*y + x = 3*y, -y + 99 = 3*c. Let a = c - 15. Calculate the remainder when 42 is divided by a.
8
Suppose -2*l + 614 = -4*q, -16 - 321 = -l - 3*q. What is the remainder when l is divided by 128?
63
Suppose 4*o - 95 = 81. Suppose 89*n - 61*n - 1792 = 0. Calculate the remainder when o is divided by ((-65)/(-20))/((-440)/n - -7).
18
Let f = -207 + 245. Suppose 2*c = q - 124 - f, 4*q = -3*c + 681. Wha