ive of -v**4/4 + v**2 + 67*v - 1149. Suppose -1 = 2*o - a, -4 = 2*a - 6. What is the remainder when m(o) is divided by 23?
21
Let t = 22 + -14. Suppose c + 4*b = 6*b + 23, 4*b + 59 = 3*c. Calculate the remainder when c is divided by t.
5
Suppose 3*l = -2*u - l + 54, 5*u = -l + 90. Let k(p) = p**3 + 18*p**2 - 33*p + 233. Calculate the remainder when k(-20) is divided by u.
8
Let u = -171 - -278. Let a(x) be the third derivative of -x**4/24 + 7*x**3/2 - 34*x**2. What is the remainder when u is divided by a(-15)?
35
Suppose 65*u + 1114 = -23*u + 9826. What is the remainder when u is divided by (-29)/(-1 + 0 - 0)?
12
Calculate the remainder when 118 is divided by (-2942)/(-30) + (-207)/3105.
20
Let r be (3/3 - -421)/(2 - 1). Let s = -404 + r. Calculate the remainder when ((-71)/(-2))/((-2)/(-4)) is divided by s.
17
Let s = 213392 + -213296. Suppose -7*l = -3*l - 240. Suppose -2*m + 2*f + 81 = m, 3*m + 5*f = l. What is the remainder when s is divided by m?
21
Let f(j) = -5*j**3 + 64*j**2 + 21*j - 21. Calculate the remainder when 870 is divided by f(13).
40
Let g(h) = h**2 - 161*h - 2194. Let d be g(-12). Let y(f) = 46*f - 5. Let z be y(4). Let c = d + z. Calculate the remainder when c is divided by 21.
19
Let i be ((-35)/(-14))/(5/12). Suppose -4*u + i*u - 20 = 0. Suppose 2*f = u*f - 72. Calculate the remainder when 15 is divided by f.
6
Let d = -280 + 407. Calculate the remainder when d is divided by 8.
7
Let o(h) = -h**2 - 14*h + 8. Calculate the remainder when ((-18)/(-1152)*16)/((-1)/(-332)) is divided by o(-13).
20
Suppose -14*o - 6 = -17*o. Suppose -o*v = -8, 3*i - 31 + 11 = -5*v. Suppose i = -4*n + n + 3, -2*z + 91 = -3*n. What is the remainder when z is divided by 19?
9
Let c(p) = 6*p**3 + 28*p**2 + 4*p - 6. Calculate the remainder when 99 is divided by c(-4).
15
Let p(t) = -4*t**3 + 16*t**2 + t - 3. What is the remainder when 25 is divided by p(4)?
0
Suppose 12953 + 38890 = 171*t - 52809. What is the remainder when t is divided by 2?
0
Let i = -1085 + 1154. Let c be (13/(-26))/(1/(-74)). Suppose -3*z = -68 - c. What is the remainder when i is divided by z?
34
Let f(u) = -135 + 98 - 5*u + 0*u - 4*u. Calculate the remainder when f(-6) is divided by 13.
4
Let h = 7794 - 7537. Calculate the remainder when 4102 is divided by h.
247
Let p(h) = 39*h + 920. What is the remainder when 40 is divided by p(-23)?
17
Let w(x) = 474*x - 1199. Calculate the remainder when w(4) is divided by 184.
145
Suppose h - k = 655, -3*h + 1718 + 242 = -4*k. Suppose -5*g + 2*g = -3*x + h, 5*x + 5*g - 1120 = 0. What is the remainder when x is divided by 32?
30
Suppose -m = 3*f - 43, 67*f + 65 = 72*f + 5*m. What is the remainder when 6973 is divided by f?
13
Calculate the remainder when 51 is divided by (24/(-4))/(1*(-2)/12).
15
What is the remainder when 919 is divided by 69/1*(261/(-27) + 11)?
91
Suppose 7*f = -3*f + 300. Suppose -12*u + 8*u + 232 = 0. Calculate the remainder when u is divided by f.
28
Suppose 4*i + 595 = 9*i. Suppose 2*m - i = 7. What is the remainder when m is divided by 1/((-2)/(32/(-1)))?
15
Suppose -117*n = -3292 - 1587 + 1135. What is the remainder when 1247 is divided by n?
31
Suppose 0 = -2*n - o + 5, -3*o + 25 = -2*n + 2*o. Suppose n*q - 2*q + 68 = 5*y, 4*y - 153 = -5*q. What is the remainder when 52 is divided by q?
23
Suppose 13*l - 42*l + 3741 = 0. What is the remainder when 268 is divided by l?
10
Suppose 0 = 4*x - 2*f - 194, -f + 190 = 4*x + f. Let o = 80 + -94. What is the remainder when x is divided by (2 - (4 + o)) + -5?
6
Suppose 7886 - 16745 = -38*o + 20363. Calculate the remainder when o is divided by 70.
69
Suppose -23*o + 21680 = -0*o - 15557. What is the remainder when o is divided by 36?
35
Suppose -8*i = -48 - 248. Calculate the remainder when 813 is divided by i.
36
Let m = 36 + -33. Suppose -m*r + 404 = 5*p, p - r = 4*p - 244. Calculate the remainder when 407 is divided by p.
79
Let k = 35 + -39. Let w be -4 - (43 + k + -1). Let z = -34 - w. What is the remainder when 22 is divided by z?
6
Suppose h - 5*h = -124. Let v(u) = -3818*u + 282932. Calculate the remainder when v(74) is divided by h.
28
Let b be (-3 - (-192)/27) + 4/(-36). Suppose -b*x = -t - 90, 0*t = -2*x + t + 46. What is the remainder when x is divided by -4 - -7 - 1 - 7/(-1)?
4
Let h be ((-2)/(-3))/(11/1848). Calculate the remainder when 1 + -1 + h + 3/3 is divided by 58.
55
Let k(m) = -20*m - 217. Let y = 80 - 91. What is the remainder when 10 is divided by k(y)?
1
What is the remainder when 2902 is divided by ((-291)/9)/(67/(-402))?
186
Let i(f) = 75*f**3 + 2*f**2 + 2*f - 4. Suppose -3*a = 0, 5*b - a + 6 = 11. Calculate the remainder when i(b) is divided by 38.
37
Let t(l) = 2*l**3 + 18*l**2 + 232*l + 2180. What is the remainder when 1561 is divided by t(-9)?
89
Let q(x) = 3*x + 1. Suppose 5*w + 5*t = 0, 2*w + 6*t - 2*t = -8. Let g be q(w). Calculate the remainder when -12 + g - (1 + -161) is divided by 18.
17
Let z = 301 + -135. Let j = z + -154. What is the remainder when 20 is divided by j?
8
What is the remainder when 2080 is divided by 1/(9 - (-12880)/(-1432)) - 5?
166
What is the remainder when 79 is divided by 1216/192*(-12)/(-2)?
3
Let k = -9928 - -10037. What is the remainder when k is divided by 93?
16
Suppose 5*w = -3*g + 143, 4*g + 199*w = 194*w + 184. Suppose 3 = 2*j - 29. Calculate the remainder when g is divided by j.
9
Let h be (10/30)/(3/(-54)). Let m = h + 33. What is the remainder when m is divided by 13?
1
Suppose -3*m + 2*m + 112 = -j, 0 = 4*m - 3*j - 447. What is the remainder when m is divided by -1*((-186)/3 + 4/2)?
51
Let q be ((-126)/(-12))/7*(-20)/(-6). Suppose -q*a - 84 = 9*a. What is the remainder when (-9)/a*(-40)/(-3) is divided by 11?
9
Let u be -7*((-36)/(-42) + -1) - 300. Let k = 307 + u. Calculate the remainder when 57*1*(-1)/(-3) is divided by k.
3
Let h be (-17)/(-17)*(1 + -17 - -1). What is the remainder when 67 is divided by (-1*18/h)/((-4)/(-10))?
1
Suppose -l + 3*j = -17, 0 = -4*l + l + 3*j + 27. Suppose -l*z = -329 + 129. Let c = -165 - -244. Calculate the remainder when c is divided by z.
39
Suppose 0 = -5*p - 4*u + 1185, -7*u - 1140 = -5*p - 2*u. Calculate the remainder when p is divided by 5.
3
Suppose 366*n = 361*n + 2*q + 6881, -n + 3*q + 1358 = 0. Calculate the remainder when n is divided by 231.
224
Suppose 223 + 525 - 108 = 40*b. Calculate the remainder when 2222 is divided by b.
14
Suppose 3*b - 723 = -s, -4*b = -217*s + 222*s - 931. What is the remainder when 301 is divided by b?
57
Suppose -93*c + 22*c - 1150 = -6972. What is the remainder when 5573 is divided by c?
79
Let r be (-556)/(-2) + -4 + -2. Calculate the remainder when (34 + r)/(3/2) is divided by 16.
12
Let t = -217 - -222. Suppose 0 = -o, 3*o - 140 = -t*r + 15. Let u = 361 - 209. What is the remainder when u is divided by r?
28
Let u(w) = -6*w + 5. Let j = -460 - -454. Calculate the remainder when u(j) is divided by 28.
13
Let c = -182 + 185. Suppose c*l = -5*y + 16, -2*y + 3*y = 3*l - 40. Calculate the remainder when 3*-1*215/(-15) is divided by l.
7
Let c(d) be the first derivative of d**4/4 - 29*d**3/3 + 29*d**2 - 64*d + 32. What is the remainder when c(27) is divided by 10?
4
Let b(n) = -2*n**2 + 28*n + 107. Let r be b(17). Suppose -4*y = -137 - 395. What is the remainder when y is divided by r*224/40 + 6?
31
Let q(a) = a**2 + 22*a - 32. Let u be q(-24). Calculate the remainder when ((-7972)/(-9) - u/(-72))/2 is divided by 37.
36
Suppose 0 = 5*q - 4*c - 59 - 6924, 0 = -2*c - 14. What is the remainder when q is divided by 64?
47
Let w(h) = -h**3 + 9*h**2 + h + 5. Let l be (-1)/(2*2/(-28)). Calculate the remainder when w(l) is divided by 20/35 - (5 - 454/14).
26
Let s(r) = -467*r - 2328. Suppose 0 = -5*v + 181 - 31. What is the remainder when v is divided by s(-5)?
2
Suppose 0 = -17*b - 0*b + 1785. Calculate the remainder when b is divided by 49.
7
Let u(o) = 27*o - 1387. What is the remainder when u(74) is divided by 6*(0 - (-85)/10)?
50
Suppose -5*z + 681 = 3*q, 3*z + 2*q + 1261 = 1669. Calculate the remainder when 22630 is divided by z.
136
Let t(k) = -26*k + 92. Let q be t(2). Suppose 0 = -2*a - 2*a + 180. Suppose -q*y = -a*y + 90. What is the remainder when 70 is divided by y?
16
Let t = -1461 - -1593. What is the remainder when 4487