he remainder when u is divided by 6.
1
Let u = 5609 + -5484. Suppose -3*x + 15 = 4*f - 82, -2*f + 5*x + 29 = 0. Calculate the remainder when u is divided by f.
15
Let o(l) = 2*l**2 - 11*l + 13. Suppose -15*b + 1639 + 3431 = 0. Calculate the remainder when b is divided by o(7).
32
Suppose 74 = h - 4*i, 5*h + 5*i - 38 = 4*h. Let u = 15 + 1. What is the remainder when h is divided by 210/u + (-8)/64?
6
Let h be (-1 + 10)/((-3)/(-2)). What is the remainder when 180 is divided by (-3 - (-52 + h)) + 4 + 1?
36
Let r be (-90)/(68/(-76) - -1). Let n = -569 - r. What is the remainder when (4/(-6))/(-2 - n/(-144)) is divided by 17?
14
Let q(o) = -4*o**3 + o**2 + 3*o - 2. Let h be q(2). Let b = 3 - h. Let c(j) = -j**2 + 808*j - 37138. Calculate the remainder when c(49) is divided by b.
26
Let n(q) = 70*q - 13. Let o be n(1). Let y = o + -52. Calculate the remainder when 26 is divided by y.
1
Suppose 59*y - 311*y + 2647 - 631 = 0. Suppose x = -4*p - 402, -2 - 295 = 3*p + 3*x. Let t = -22 - p. Calculate the remainder when t is divided by y.
7
Suppose 135 = 5*w + 4*t, -5*t + 0*t = 0. Suppose -5*s - w = -2*d, 2*d - s = -0*d + 31. What is the remainder when d is divided by 6?
4
Let w(t) = -t**2 - 13*t - 8. Calculate the remainder when 88 is divided by w(-7).
20
Suppose -72*i + 69*i + 648 = 0. Let z = i - 207. What is the remainder when 35 is divided by z?
8
Suppose 71*w = -64*w + 148*w - 325. Calculate the remainder when 65 is divided by w.
15
Let s(p) = 319 - 314 - p - 3*p. Let r be s(-10). Suppose 3*u + 2*u - r = 0. What is the remainder when 33 is divided by u?
6
Suppose 0 = -5*n - 4*u + 380, 2*n + 3*u - 140 - 5 = 0. What is the remainder when 2319 is divided by n?
79
Let f = -4 - -8. Let b be (2/(16/40) - 0)*-1. Calculate the remainder when 24 is divided by (-13)/((20/f)/b).
11
Let h be 4 + (-6)/24*4. Suppose -13 = -k + h*x - 8*x, -4*k + 82 = 5*x. What is the remainder when 130 is divided by k?
15
Suppose -4*f = m - 5*m - 4, -3*f - 5*m = 21. Calculate the remainder when 274 + 96/(-36)*3/f is divided by 28.
26
Calculate the remainder when 598 is divided by 3/(-6)*(-4)/5 - 26011/(-185).
34
Suppose -3*w + 2*j = 826, 2*w - j = -430 - 121. Let p = w + 285. Let u = 222 + -125. What is the remainder when u is divided by p?
7
Let o = -34 - 60. Let i be 16820/160 + 27/(-24). Let x = i + o. Calculate the remainder when 29 is divided by x.
9
Let a = 97 + -35. Let j = -112 + 263. Let k = j + -143. Calculate the remainder when a is divided by k.
6
Suppose 11*s + 384 - 1975 = 2699. What is the remainder when s is divided by 101?
87
Let d(c) = -33*c + 67. Let x(m) = 60*m - 135. Let f(i) = 7*d(i) + 4*x(i). What is the remainder when 77 is divided by f(13)?
31
Suppose 0 = 42*w - 53*w + 1805 + 1198. Calculate the remainder when w is divided by 90.
3
Suppose 0 = -82*r + 79*r - 534. Let t = -163 - r. Calculate the remainder when 4/(-8)*2*-37 is divided by t.
7
Suppose -4*v - 4*q + 2*q = -320, -q = -3*v + 250. Let a be (-2)/14 - (-3075)/(-35). Let h = -45 - a. What is the remainder when v is divided by h?
39
Let c(x) = -360*x + 438. Calculate the remainder when c(0) is divided by 8.
6
Let x be (-1)/(1/(-6)*-2). Let m be 6/(-45)*x*40 - -1. Suppose -m*k + 1151 = 216. Calculate the remainder when k is divided by 19.
17
Suppose 20*d = 6118 + 2422. Suppose -5 = -16*s + d. Calculate the remainder when 112 is divided by s.
4
Let a = 31 - -113. Let q = a - 120. Calculate the remainder when 68 is divided by q.
20
Let c be 334/8 + (-2)/(-8). Suppose c - 99 = -x. Suppose -120 = 114*a - 126*a. Calculate the remainder when x is divided by a.
7
Suppose -5*a + 101 = -20*m + 17*m, -a + m = -17. Calculate the remainder when 5944 is divided by a.
19
Calculate the remainder when 6/(-6) - -5 - -1154 is divided by 10.
8
Let t(f) = 42*f + 2815. What is the remainder when t(-58) is divided by 61?
13
Suppose -2*m - 2*b = -1568, 0 = 4*m - 7*m + b + 2372. Calculate the remainder when m is divided by 14.
5
What is the remainder when 36112/185*30/12 is divided by 56?
40
Suppose 380*f + 75*f - 26017 - 418973 = 0. What is the remainder when f is divided by 974?
4
Let x be 1080/(-16)*292/5. What is the remainder when (1/(-2) - 1)*x/81 is divided by 16?
9
Let j(g) = -g**3 - 15*g**2 + 20*g + 68. Let n be j(-16). Suppose 0 = n*a - a - 183. Calculate the remainder when a is divided by 51.
10
Let r = 151 + -141. Suppose -15 = -g + 2*z, -5*z = -r + 35. Suppose 0 = 4*k - 2*k - 38. Calculate the remainder when k is divided by g.
4
Let o be (-76)/(-6) - 24/36. Let m be (-4)/(4/o*-1). Suppose -15*u + 102 = -m*u. What is the remainder when u is divided by 12?
10
Suppose -5*o - 403*j = -402*j - 149, -o + j + 37 = 0. Calculate the remainder when 14505 is divided by o.
28
Let q(i) = 3*i - 38. Calculate the remainder when (36/16)/(15/100) is divided by q(16).
5
Suppose 1 = -c + 6. Suppose 45 = 5*y + d, 2*y - 3 = -c*d + 15. Calculate the remainder when 11 is divided by y.
2
Let t = -20298 + 20350. Calculate the remainder when 362 is divided by t.
50
Let a = 238 + -243. What is the remainder when 333 is divided by (-3 - (-7 + a)) + 7?
13
Suppose -7*s + 18*s - 770 = 0. Suppose 12*v = 7*v + s. Suppose -28*p + 10*p = -216. Calculate the remainder when v is divided by p.
2
Suppose -39*s + 1953 = -6839 - 1075. Calculate the remainder when 400 is divided by s.
147
Let v(p) = p - 10. Let l(m) = 2*m. Let c(r) = 4*l(r) - v(r). What is the remainder when 224 is divided by c(4)?
34
Suppose 1358*x - 660*x - 652*x - 2668 = 0. What is the remainder when 8060 is divided by x?
56
Let a(x) = 728*x + 1900. Calculate the remainder when a(3) is divided by 24.
4
Suppose -1192 = -15*m + 99 + 254. Calculate the remainder when 345 is divided by m.
36
Let w = 75 + -35. Let v be 202/(-5) + 16/w. Calculate the remainder when -1*2/((-1)/v*-2) is divided by 16.
8
Let v(b) be the third derivative of -b**4/3 - 19*b**3/2 - 3*b**2. Calculate the remainder when v(-14) is divided by 12.
7
Let q = 11068 - 10627. What is the remainder when q is divided by 34?
33
Let q be (-2 - -11)/(-2 + 15/5). Suppose 982 = q*a - 620. What is the remainder when a is divided by 36?
34
Let a be -3*(-14 - (-2 + 6)). Suppose a*b = 49*b + 135. What is the remainder when 268 is divided by b?
25
What is the remainder when 662 is divided by ((-56)/(-84))/((-6)/(-5832))?
14
Suppose 0 = g + u - 856, -18*u + 21*u = -3. What is the remainder when g is divided by 36?
29
Let s(x) = 9*x - 15. Suppose 2 = -10*g + 52. Suppose -2*v = g*i - 4*i - 28, 2*i + 19 = v. What is the remainder when s(8) is divided by v?
12
Let g(i) = 590*i + 1877. Calculate the remainder when 114 is divided by g(-3).
7
Suppose -46822*h - 1900 = -46827*h. Suppose 2 - 5 = -u. Suppose 5*b = 4*s + h, u*b - 4*s = -3*s + 228. Calculate the remainder when b is divided by 7.
6
Suppose 5*s - 161 = -3*y, -5*y - 220 = -s - 171. What is the remainder when 400 is divided by s?
26
Let a(x) = -x**3 - 14*x**2 - 28*x - 26. What is the remainder when 563 is divided by a(-12)?
13
Let l = 20399 - 20158. Calculate the remainder when l is divided by 238.
3
Suppose 0 = -15221*r + 15281*r - 3300. Let d(m) = 660*m**3 - 2*m**2 + m. Calculate the remainder when d(1) is divided by r.
54
Let l = -300 - -1980. Suppose -27*i + 3*i = -l. Suppose 3*j - 27 = 27. Calculate the remainder when i is divided by j.
16
Suppose -9*n = -n - 0*n - 312. What is the remainder when n is divided by 36/15 + 6/10?
0
Let k(p) = -31*p**3 + p**2 + p - 37. What is the remainder when k(-5) is divided by 39?
36
Let j(l) = 8*l**2 + 9*l + 13. Let v be j(5). Let s = v + -221. Calculate the remainder when 141 is divided by s.
30
Let k be 1*2/3*189/42. Calculate the remainder when k*(-8 + 3 - -6) is divided by 1.
0
Suppose 22 + 218 = 2*m. Suppose -4*y = -m + 148. What is the remainder when 69 is divided by ((-4)/(-6)*y)/((-6)/18)?
13
Suppose 14*h - 19*h = 5*i - 115, -h + 80 = 4*i. Let m(b) = b**3 - 19*b**2 - 2*b + 84. Calculate the remainder when 133 is divided by m(i).
41
What is the remainder when 5319 is divided by ((-456)/(-32))/((-174)/48 - -4)?
37
Suppose -250 = -3*r - r - 3*s, 2 = s. Calculate the remainder when 317 is divided by r.
12
Let w(i) = -6*i**2 - 4*i + 30. Let g(z) = 5*z**2 + 4*z - 29. Let t(h) = -7*g(h) - 6*w(h). What is the remainder when 164 is divided b