 v(n) = 110*n + 17835. What is the remainder when 1 + 133 + (-1 - -1) is divided by v(-162)?
14
Suppose 13*f - 1741 - 4210 - 1589 = 0. What is the remainder when f is divided by 7?
6
Let h(j) = -724*j + 136. Let s be h(8). Calculate the remainder when (9/(-6))/(-5 - s/1136) is divided by 15.
11
What is the remainder when 997 is divided by 12/48*-3*-12?
7
Suppose 0 = -9*a + 388 + 179. Suppose -2*y + a = -33. Calculate the remainder when 134 is divided by y.
38
Let f = 291 - 67. Calculate the remainder when f is divided by (-4 - 232/32)*(-308)/231.
14
Let w = -72 - 33. Let r(l) = -3*l**3 - 6*l**2 + 10*l + 61. Let d be r(-4). Let b = d + w. Calculate the remainder when 345 is divided by b.
9
Suppose -3*n = 12, -2*n + 68 = -4*j + n. Let i = j + 25. Suppose -61 = -4*y + 3*u, -i*u + 2 = -3*u. Calculate the remainder when 45 is divided by y.
13
Suppose 5*o + 20 = 0, -4*v + 2*o + 223 = 15. What is the remainder when 1846 is divided by v?
46
Suppose -3*v = v - 4*a - 56, -5*v + 4*a = -68. What is the remainder when v/5 + -2 + (-2499)/(-15) is divided by 6/3 - 1 - -33?
31
Suppose -j + 28*h - 29*h = 528, 3*j + 1619 = 4*h. Let s = -525 - j. Calculate the remainder when 79 is divided by s.
7
Let u(r) = 7*r**2 + 2*r - 1. Let m be u(2). Suppose -10 = y - m. Let b = 55 - -26. Calculate the remainder when b is divided by y.
18
Let b = -14752 - -15767. What is the remainder when b is divided by 502?
11
Let o be 12102/42 + (1/(-7))/1. Suppose 0 = -5*u + p + o, -95 = 4*u - 5*p - 338. Calculate the remainder when 113 is divided by u.
56
Let m(r) = -34*r - 35. Let z be m(-2). Calculate the remainder when z/(((-13)/52)/(4/(-6))) is divided by 2/7 + (-124)/(-7).
16
Let y = 5 - -23. Let p = y + -14. Calculate the remainder when 19/((12/(-10))/(-6)) is divided by p.
11
Suppose 4*q = 3 - 3. Suppose q = -10*a + 14*a - y - 136, 5*y - 68 = -2*a. Calculate the remainder when a is divided by (1 - 2) + (8 - 0).
6
Let s be ((-6)/(-10))/(21/105). Calculate the remainder when 51 is divided by (-52)/(-16)*(1 + s)*1.
12
Let z be (4 + -2)/(2/5). Suppose 2*r + a - 19 + 2 = 0, 5 = 2*r + z*a. What is the remainder when ((-4)/r)/((-2)/70*1) is divided by 3?
2
Suppose 9*s = 254 + 4894. Let v = -559 + s. Calculate the remainder when v is divided by (6 + -1)*8/10.
1
Suppose 5*r = -10, -8*c + 11*c = -2*r + 1064. What is the remainder when c is divided by 20?
16
Let j(s) = s**2 - 2*s - 41. Let v be j(-5). Calculate the remainder when 119 is divided by (-34 + 1)*3*v/54.
9
Let r(t) = 4*t + 9. Let g(f) = -f - 3. Let m(y) = -14*g(y) - 4*r(y). Let p be m(-7). Let x(o) = -o + 38. What is the remainder when 32 is divided by x(p)?
14
Calculate the remainder when (-436)/(-327) + 6233/3 is divided by 4.
3
Let w = 38 + -39. Let q(t) = -33*t - 2. Let d be q(w). Let v = d - 9. What is the remainder when 41 is divided by v?
19
Suppose 7*o - 165 = 2*o - 5*p, -3*p = 6. Let k be ((-130)/15)/(1/(255/(-10))). Let r = k - 209. What is the remainder when o is divided by r?
11
Let w = -1063 + 1514. Calculate the remainder when w is divided by 98.
59
What is the remainder when (-2*(-2)/(-8))/(241/(-735050)) is divided by 139?
135
What is the remainder when (6 - -3) + 396/(-3)*-2 is divided by 60?
33
Let q be -5 + (-49)/(-28)*4. Suppose -q*u + u - 2*o = -20, -66 = -3*u - 4*o. What is the remainder when 103 is divided by u?
25
Let k(g) = -3*g**3 + 12*g**2 + g - 5. Let j be k(4). What is the remainder when (j/(-6)*-2)/((-51)/42534) is divided by 14?
12
Let s = -41 - -129. Suppose 36*z - 32*z - s = 0. What is the remainder when 68 is divided by 1/(74/312 - z/143)?
8
Suppose 3*q - 23 - 7 = 0. Suppose -1275*h = -1422*h + 6293 + 11200. Calculate the remainder when h is divided by q.
9
Suppose -26*a = 401 + 379. Calculate the remainder when 78 is divided by (-30)/((22/55)/(8/a)).
18
Suppose -650016 = -196*t - 170*t. Calculate the remainder when t is divided by 458.
402
Suppose 19*s = 26*s - 84. Suppose 5*u - 483 = -h, -4*u + 0*u + 381 = -h. Let v = u - 61. What is the remainder when v is divided by s?
11
Suppose 18*g = 16*g + 14. Suppose -g = -7*d + 6*d. What is the remainder when d is divided by 3*(-1)/(-9) + (-2)/(-3)?
0
Let j be (-16)/(-12)*18/(-12). Calculate the remainder when 54 is divided by 174/(-6)*(-3 + 0 - j).
25
Let z be -4*(-4)/(48/99). Suppose 5 = 5*p + 2*x - 0, 0 = 2*x + 10. Suppose 5*i = 2*y + p*y - 55, -3*y + z = i. What is the remainder when 54 is divided by y?
10
Let i = 55 - 36. Let d be ((-27)/36)/((-5)/20). Let f(y) = 12*y**2 + 14*y - 39. What is the remainder when f(d) is divided by i?
16
Let r(o) = 2*o**3 - 35*o**2 - 255*o + 93. Let i = 249 - 67. What is the remainder when i is divided by r(23)?
41
Let x(m) = m**2 - 3*m - 2. Let r be x(-1). What is the remainder when 13 is divided by (-80)/(-36) - r/9?
1
Let i(n) = -671*n - 2608. What is the remainder when i(-5) is divided by 191?
174
Let q = -29 - -31. Let j be ((-10)/(-20))/(q/4) + 3. What is the remainder when 116/14 - j - (-6)/(-21) is divided by 2?
0
Let v(y) = 101*y**3 - y. Suppose -114*w + 123*w = 0. Suppose w*c + 697 = 41*c. What is the remainder when v(1) is divided by c?
15
Suppose 4*k - 56 = -4*o, -5*k + 7*k = -o + 17. What is the remainder when -3 + (3 - 5)*-22 is divided by o?
8
Let o be 1*(26/4)/((-2)/(-76)). Let z = o - 207. Calculate the remainder when 74 is divided by z.
34
Let x be (-600)/(-156) - 4/(-26). Suppose 2*b + d - 5*d - 24 = 0, 5*d = -x*b + 61. What is the remainder when 37 is divided by b?
9
Suppose -6 = -436*o + 434*o, 600 = 3*s + 3*o. Calculate the remainder when s is divided by 59.
20
Let h(w) = 2234*w - 2127. Calculate the remainder when 1130 is divided by h(1).
60
Suppose -14253*s = f - 14258*s - 65, -2*f = -4*s - 88. Suppose 40 - 1021 = -3*n. Calculate the remainder when n is divided by f.
27
Let j(h) = h**3 + 6*h**2 + 8*h + 3. Let b be j(-3). Let c(q) = 2*q - 10. Let y(t) = t + 5. What is the remainder when y(1) is divided by c(b)?
0
Let h(o) be the third derivative of o**5/12 - 2*o**4/3 + 3*o**3/2 - o**2 - 60. What is the remainder when 224 is divided by h(4)?
24
Let c = 527 - 509. Suppose -602 + 242 = -c*y. Let a = 3 + 4. What is the remainder when y is divided by a?
6
Let w(l) be the second derivative of l**5/20 + 2*l**4 - 4*l**3 + 91*l**2/2 - 8*l - 15. Let h = -24 - -43. Calculate the remainder when w(-25) is divided by h.
9
Let n = 4352 - 4231. Calculate the remainder when n is divided by 42.
37
Let l be (906/8)/(((-90)/(-24))/5). Let g = l + -118. What is the remainder when 74 is divided by g?
8
Let k(a) = -a**2 - 6*a + 61. Let x(b) = b**2 - 18*b - 170. Let n be x(25). What is the remainder when 176 is divided by k(n)?
2
Let s be 20/3*36*104/64. Let o = s + -340. What is the remainder when 197 is divided by o?
47
Suppose 0 = -2*z + 58 - 38. What is the remainder when 153 is divided by 58 - 24/(z - 6)?
49
Let x be (9/4)/3 + 666/(-24). Let s = x + 51. Let j = -139 - -210. What is the remainder when j is divided by s?
23
Suppose 0 = -5*y + 9 + 11. Suppose 0 = -9*s - 5 + 14. What is the remainder when -15*(3/(15/(-10)))/s is divided by y?
2
Suppose -11397 = -4090*x + 4003*x. What is the remainder when 1189 is divided by x?
10
Let w(z) be the first derivative of -2*z**2 + 28*z + 11. Let m be w(6). Suppose -j + 90 = m*j. Calculate the remainder when j is divided by 10.
8
Let r(d) = 17*d - 12. Let m be r(1). Suppose 3*h = 6*h - 5*i - 140, 2*h + m*i - 135 = 0. Calculate the remainder when h is divided by 14.
13
Suppose -3*r - 11*r = 0. Suppose 30 = 2*w - w + 4*v, r = -5*w - 4*v + 70. What is the remainder when (28 - 26)*(1 + 35/2) is divided by w?
7
Suppose -6 = 5*v - 7*v. Suppose 187 = 13*i + 135. What is the remainder when i is divided by v?
1
Let n(d) = -d**3 - 10*d**2 + 73*d + 449. Calculate the remainder when 450 is divided by n(-14).
28
What is the remainder when 3/(-2)*8380/(-50)*(-20)/(-12) is divided by 138?
5
Suppose -3*f + 42 + 6 = 0. Let o = 22 - f. What is the remainder when (-14)/9*(-40788)/7931 is divided by o?
2
Suppose -78*s + 119*s = 369. Let t = 28 + 40. Suppose -d - t = -3*d. What is the remainder when d is divided by s?
7
Let m(y) = 7*y + 4. Let f(t) = -8*t - 4. Let a(c) = -6*f(c) - 7*m(c). Let u be a(-12). Let b(p) = 5*p - 21. Calculate the remainder when b(u) is divided by 7.
5
Suppose -