 is divided by 345?
16
Let b = 68 + -41. Let v = -61 - -64. Suppose -4*u + 3*d + 204 = 0, -v*u + d = 5*d - 153. Calculate the remainder when u is divided by b.
24
Let o(v) = -8*v - 14. Let u be o(-7). Let z be u/12 + -4 + (-14)/4. Calculate the remainder when (37 - (z - -1))/2 is divided by 15.
5
Suppose -3*m + 2375 = -4*d + 3114, -m = 4*d - 703. What is the remainder when 337 is divided by d?
159
Suppose 0 = 202*z + 77*z - 548 - 7543. Calculate the remainder when 1437 is divided by z.
16
Suppose -1204 + 576 = -16*u - 564. Suppose 0 = 5*q + 45 - 240. Calculate the remainder when q is divided by u.
3
Let v = 89 - 85. Let t(x) = -v - 6 - 26*x + 8 + 4*x**2 - 4. What is the remainder when 8 is divided by t(7)?
0
Let c = -181 + 104. Suppose 2*f + 363 = -4*q + f, 3*f = -q - 88. Let s = c - q. Calculate the remainder when 39 is divided by s.
11
Let g = 244 - 552. Let b = g - -325. What is the remainder when 38 is divided by b?
4
Suppose 2*y + 8 = 0, 5*b = 4*y - 0*y + 116. Calculate the remainder when 758 is divided by b.
18
Let y(h) = -h**3 - 8*h**2 + 6*h - 11. Let l(j) = -2*j**3 - 17*j**2 + 12*j - 22. Let u(t) = 2*l(t) - 5*y(t). Calculate the remainder when 71 is divided by u(-7).
3
Suppose 3*g - 17007 = -u, -4*g + 2*g = -4*u - 11366. Calculate the remainder when g is divided by 31.
29
Suppose -10*h + 3440 = -2*h. Let z = -338 + h. Let f = 54 - 22. Calculate the remainder when z is divided by f.
28
Let n(r) = -2*r + 6. Let x = -6852 + 6883. What is the remainder when x is divided by n(-11)?
3
Let w(s) = 112*s**2 - 87*s + 623. Calculate the remainder when w(6) is divided by 15.
8
Let i(d) = 2*d**2 - 39*d - 14. Let o be i(11). Let m = 236 + o. Calculate the remainder when (2/(-5))/((-4)/1340) is divided by m.
29
Let h(a) = -a**2 + 22*a - 20. Let p be h(21). Let u(s) = 264*s**3 - 2*s**2 - 15*s + 16. What is the remainder when u(p) is divided by 22?
21
Let x(r) = 1473*r - 8750. Calculate the remainder when 12318 is divided by x(6).
86
Let a(k) = -128*k - 1880. What is the remainder when a(-24) is divided by 16?
8
Let n(t) = 1186*t - 4274. What is the remainder when n(4) is divided by 66?
8
Let r(w) = -5*w + 111. Let o be r(21). Suppose -4*h = i - 34, i - o = 6*h - 3*h. What is the remainder when 61 is divided by i?
7
Suppose 630 = 141*y - 135*y. Suppose -3*v = -p - 21, -2*p = -2*v - p + 14. Suppose -174 = -v*f + 78. Calculate the remainder when y is divided by f.
33
Suppose 3*w + 2*w - 506 = 3*d, -2*d + 396 = 4*w. Let b = -49 + 100. Calculate the remainder when w is divided by b.
49
Let t = -2481 + 2961. Calculate the remainder when t is divided by 70.
60
Let s = -107 - -107. Suppose s = 9*d - 167 + 5. What is the remainder when 84 is divided by d?
12
Suppose 1 + 3 = 4*k + 2*n, -k = 5*n - 10. Suppose 5*x - 30 = -k*x. What is the remainder when (-4)/21 - 135228/(-7434) is divided by x?
0
Suppose 0 = -v + 2*v - 14. Let q be ((-12)/56 - (-4)/(-14))*-596. Let i = q - 271. What is the remainder when i is divided by v?
13
Suppose 51*h = -63*h - 79*h + 1737. Suppose 5*x + 1 - 11 = 0. Suppose -x*t + 4*v = -90, 9*v + 25 = 4*v. Calculate the remainder when t is divided by h.
8
Suppose -902 = -31*c - 189. Suppose 0 = 23*l - 253 + c. What is the remainder when 86 is divided by l?
6
Let v(x) = -692*x - 2668. What is the remainder when 584 is divided by v(-4)?
84
Let b(a) = 2*a + 18. Let w be b(-5). Let x = 10 - w. Suppose 0 = r + 4*o, r = -x*r + o + 39. What is the remainder when 33 is divided by r?
9
Let k be ((-63)/6)/(6/(-8)). What is the remainder when 95/2 + -16*27/(-288) is divided by (-1)/(k/(-13) - -1)?
10
Let y(p) = -p**3 - 18*p**2 - 16*p + 22. Let w be y(-17). Let n be 50388/(-169) - 2/(-13). Calculate the remainder when (w - (8 + -5))/((-4)/n) is divided by 15.
14
Let b(a) = -2*a**2 + 29*a + 2602. Let c(z) = 3*z**2 + z + 5. Calculate the remainder when c(4) is divided by b(44).
3
Suppose -1929*r + 1948*r = 399. Calculate the remainder when 2770 is divided by r.
19
Suppose -15787 = 118*q + 38*q - 91291. What is the remainder when q is divided by 76?
28
Let s = -567 + 571. Suppose 4 = -s*x - 4, -2*x - 44 = -2*m. Calculate the remainder when 109 is divided by m.
9
Let d(k) = 9 - 3*k + 22 + 79 + 32. Calculate the remainder when d(33) is divided by 9.
7
Let f be 6/5*-1*-420. Suppose -8*a + 65 - 57 = 0. Calculate the remainder when 102 is divided by f/20 + 1 - a/5.
24
Let j(r) = r**3 - 17*r**2 + 5*r - 24. Let o(a) = a**2 - 15*a + 53. Let y be o(12). Calculate the remainder when j(y) is divided by 13.
9
Suppose i - 119 + 114 = 0. Suppose 2*x = i*r + 71, 14*r - 15*r = -x + 37. What is the remainder when 379 is divided by x?
37
Let f(y) = -319*y - 18569. Calculate the remainder when 1744 is divided by f(-60).
31
Suppose 0*g + 2*g + 3*n - 1066 = 0, 2*n = -4. Suppose 24*r = 20*r + g. What is the remainder when r is divided by 26?
4
What is the remainder when -11 + 713 + -4 + -6 is divided by 161?
48
Suppose 4*m = 22*m - 720. Suppose 4*y - 175 = -3*k + 5*y, -k + m = -4*y. What is the remainder when 357 is divided by k?
57
Let u = 2546 + -2472. Calculate the remainder when u is divided by 54.
20
Let i be 2/(-10) + (-444)/(-20). Suppose 0*l = 5*l + 2*w - 36, -i = -3*l - w. Calculate the remainder when ((-62)/4)/(1/(-2)) is divided by l.
7
Suppose -403*i = -400*i - 10869. What is the remainder when i is divided by 6?
5
Suppose -25105*i - 80 = -25115*i. Calculate the remainder when 22 is divided by i.
6
Let z = -385 + 336. Let u = z - -86. What is the remainder when u is divided by 5?
2
Suppose -2*h + 4*z + 456 = 0, -h + 146*z - 149*z = -218. Let a(y) = -y**2 + 4*y + 2. What is the remainder when h is divided by a(3)?
4
Suppose -3*g - 179 = -4*n - 0*n, -2*g - 133 = -3*n. Suppose 0*m - 9*m = -567. Suppose 5*x = 42 + m. What is the remainder when n is divided by x?
20
Let y be (-608)/(-7) + (-14)/(-98). Suppose 3*g + s = 52, -y = -5*g + 2*s - 15. Let u(p) = -p**2 - 36*p - 96. What is the remainder when u(-31) is divided by g?
11
Let h(q) = 51*q + 315. Let l = -268 + 262. What is the remainder when 242 is divided by h(l)?
8
Suppose 10*m - 18 = 7*m. Let s be 28/m - (-8)/24. Suppose r - s = 5*f + 11, -3*r = 3*f - 84. What is the remainder when 67 is divided by r?
15
Let s(f) = -9*f**2 - 3*f - 4. Let q be s(-1). Calculate the remainder when (112/(-10))/(q/25) is divided by 10.
8
Let k be (-4)/(-38) + 3795/1311. Suppose -4*i + 9 = -3*i. Calculate the remainder when (-50)/(-2) + 21/k is divided by i.
5
Let v = 406 - 40. Suppose -8*t = -14*t + v. Calculate the remainder when t is divided by 31.
30
Suppose -11*a + 251 - 1999 = -49*a. Calculate the remainder when 486 is divided by a.
26
Suppose 0 = -h - 2*h + p + 19, 3*p = 5*h - 33. What is the remainder when 611 is divided by h?
5
Suppose -5*m + 122 = -148. Let l = m - 11. Let z(v) = -3*v + 7. Calculate the remainder when l is divided by z(-3).
11
Let n = -27792 - -27815. Suppose 3*o = -3*l + 1530, -l - 480 = -2*l + 5*o. Calculate the remainder when l is divided by n.
22
Let d = -232 + 234. Let l = -5 - 3. What is the remainder when (3 + l)*47/(-5)*d is divided by 24?
22
Calculate the remainder when (-6 + (-45)/(-6))*5676 is divided by 131.
130
Let q(h) = 15 - 18*h**2 + h**3 + 43*h - 45*h - 4*h**3. What is the remainder when q(-6) is divided by 11?
5
Suppose -2*s + 1360 = -2*p, 42*p - 2672 = -4*s + 38*p. Calculate the remainder when s is divided by 32.
2
Let d = -9 + 89. Let l(q) = q**3 + 5*q**2 - 3*q + 3. Let s be l(-4). Calculate the remainder when d is divided by -4 - s/(4/(-4)).
26
Let d = 103 + -94. Suppose 3*v = -3*p - d, -5*v - 2 = 3*p + 7. Let o(l) = -l**3 - l**2 - 2*l + 233. What is the remainder when o(v) is divided by 26?
25
Suppose 0 = -3*t + 13 + 2. Suppose t*w - 22 + 2 = 0. Let u = -18280 + 18297. What is the remainder when u is divided by w?
1
What is the remainder when 457 is divided by (-14 + -19 + 6)/((-1)/2)?
25
Let u(v) = 81*v**2 + 205*v - 204. What is the remainder when 973 is divided by u(1)?
71
Suppose c + 6 = r - 2, 0 = -5*r + 3*c + 46. Let f = 15 - r. Suppose -4*w = m - 31, 0*m + w + 124 = f*m. Calculate the remainder when m is divided by 11.
9
Let y(f) = f**3 - 27*f**2 - 39*f + 348. What is the remainder when 96 is divided by y(28)?
16
Suppose 0 = -4*k + 3 + 1, g + 5*k - 41 = 0. Suppose 1083 - 1605 =