150*u + 54*u - 41527. Calculate the smallest common multiple of u and 134.
16348
Let u = -1661/30 - -241/5. Let r(v) = 27*v + 201. Let b be r(-7). What is the common denominator of u and (3 - 45/b) + (-61)/24?
24
Let l(w) = -3*w**2 - 15*w + 25. Let k be l(-10). Suppose -209 = i + 456. Find the common denominator of ((-2)/k)/(7/i) and 57/8.
200
Suppose -2*t + 0*t + 14 = 0. Suppose 2*i - 5*k = t*i + 215, -3 = k. Find the common denominator of 91/4 and (-89)/i*((-6)/(-4) - 4).
16
Suppose -4*l = 5*x - 101, -2*l + 2*x + 28 = -0*l. Suppose 0 = -l*d + 20*d - 20. Let h = d - 4. What is the least common multiple of h and 10?
80
Suppose 10*x + 0*x - 115 = 45. Suppose 0 = f + 3, 4*f + 56 = -0*i + 2*i. What is the least common multiple of x and i?
176
Suppose -1470 = 4*k + 2*b, 5*b = 2*k + 172 + 581. Let y be k/6*(-152)/(-6). Let v = -6265/4 - y. What is the common denominator of 89/20 and v?
20
Suppose 46*b - 51*b + 120 = 0. Calculate the common denominator of -77/16 and 178/64 - (-6)/b.
32
Let o be 127909/(-5082) - 8/36*6. Let w = 9849761/847 + -11629. Let m = w - o. What is the common denominator of 69/26 and m?
26
Let w be (78/(-2))/(0 + -1). Find the common denominator of 17/8 and (1885/w)/(16/(-3)) - -4.
16
Let m = 69817 + -2793739/40. Let f = 116/9 + 683/72. Let r = f + m. What is the common denominator of r and -37/28?
140
Let x be (875844/(-48) - -9)/(78/10). Let t = x - -2338. What is the common denominator of -19/12 and t?
156
Calculate the smallest common multiple of (-2716)/(-36) + 280/(-630) and 975.
975
Let x = -817 - -494. Let m be (258184/(-335164))/(x/283 - -1). Let j = m + -2/83791. What is the common denominator of j and -35/6?
60
Let g = 115/39 + -5147/780. Let m be (6/(-108))/(4/258). Let p = m - -27/4. Calculate the common denominator of p and g.
60
Find the common denominator of -9/32 and 2205/(-60)*(-6)/140.
160
Let l be 44/77 - 456/14. Let x be 4 + -5 - (l - -3). Calculate the common denominator of -56/5 and 206/x - 2/(-7).
70
Let b = 48 - 28. Calculate the lowest common multiple of (-7700)/(-825) - 2*(-2)/6 and b.
20
Suppose 8*z - 154 - 6 = 0. Calculate the smallest common multiple of 1542 and z.
15420
Let s be (-15)/(-12)*301368/180. Let o = s - 2085. Calculate the common denominator of o and -28/11.
66
Let q(m) = 48*m**2 - 116*m - 5. What is the least common multiple of q(3) and 11?
869
Let l = 94 + -344. Let p = -200 - l. Calculate the least common multiple of 5 and p.
50
Suppose 33 - 29 = 2*n. What is the common denominator of -133/36 and 56/(-18)*(n + 17/(-12))?
108
Suppose -j - 4*j - 3 = 2*s, s = 5*j + 21. Suppose -2*q + h = -5 - 16, 0 = -2*q + 4*h + 36. Calculate the smallest common multiple of -3 - -29 - (s + -2) and q.
88
Let p(h) = 2*h**2 + 7*h - 49. Let s be p(-8). Suppose -126 = 17*y - s*y. What is the least common multiple of y and 27?
189
Suppose -7391 = -10*z - 29051. Let p = -2670744 + 26729063/10. Let w = z + p. What is the common denominator of -26 and w?
10
Let l(c) = 45*c - 14. Let n be l(7). Suppose -5*t = 5*h + 490, h - 4*t = -2*h - n. Find the common denominator of (-12)/9 - 57/h and -79/6.
66
Let s = -106/129 - -13067/4128. Suppose 3*p + 27783 = -3*v, -4*p - 44103 + 7029 = -2*v. Let a = p + 296481/32. Calculate the common denominator of s and a.
32
Let t = -193 - -198. Find the common denominator of (-232)/(-18)*1/6 and -10 + t + 2*(-598)/(-120).
270
Suppose 0*o = 2*o - 32. Suppose 2*i - 7*f = -4*f + 154, 4*i - 5*f = 310. What is the smallest common multiple of o and i?
80
Suppose 3*u - 3*i = 30, -3*i - 25 = -2*u - 0*u. Calculate the smallest common multiple of 4/6*63/28*2 and u.
15
Let q = -9293 - -15773. What is the smallest common multiple of 18 and q?
6480
Calculate the least common multiple of 13494/390 + 7/5 and 36.
36
What is the common denominator of 161/60 and 75/(-15)*(-5)/(-6)?
60
Let y(f) = -f**3 - 9*f**2 + 65*f + 10. Calculate the least common multiple of 70 and y(-15).
770
Calculate the common denominator of 36 and (-26)/(-5252)*(5 - 6)/2.
404
Let j(f) = -1220*f - 2134. Calculate the lowest common multiple of 11 and j(-4).
30206
Suppose -655*h + 410 = -936 - 1274. Let u = 11 - 8. Let v(k) = 2*k**2 - 4*k + 4. What is the lowest common multiple of v(u) and h?
20
What is the common denominator of (-4)/42 + (3574/(-1008))/(2844/(-48)) and -69/4?
8532
Let k = 16625/698616 - 1/19406. Find the common denominator of k and 61/216.
6696
Let g = -5167/52 - -1074/13. Calculate the common denominator of 83/256 and g.
256
What is the common denominator of 11136/558 + (-39 - -19) and -25/918?
28458
Suppose -154*z = -157*z + 60. Suppose x = -0*x + z. Suppose 35*l + x = 36*l. Calculate the smallest common multiple of 10 and l.
20
Suppose 4*j + 3*m - 20465 = 0, -3*m - 26 = -11. Let c = j - 168974/33. What is the common denominator of 55/3 and c?
33
Let b be (-4)/(-52) + (-3)/(-6). Let u = -194/13 - b. What is the common denominator of 73/9 and u?
18
Let q = 388 + -468. What is the smallest common multiple of 65 and 20/45 + q/18 + 54?
650
Let y = 20963247/206 + -101763. Find the common denominator of -49/6 and y.
618
Let d(c) be the second derivative of c**4/6 - 3*c**2 + 15*c. Let m = 498 + -486. Calculate the smallest common multiple of d(5) and m.
132
Let z(h) = 42*h**2 + 13*h + 15. Let f be z(-4). Suppose 5*p - 4*m = 1244, 4*p + 4*m - 353 - f = 0. Calculate the least common multiple of 2 and p.
248
What is the common denominator of (0 - (5 - 14/4))/(10566/202) and -65/2?
3522
Let g = 45513/22 - 2070. Suppose -25 = 5*c, 0*i = 4*i + 3*c + 23. Calculate the common denominator of ((-70)/(-36) + i)*(-1002)/14 and g.
462
Suppose 17*i = 16*i + 2. Suppose -i*a + 32 = k, 0 = -4*k + 2*k + 3*a + 50. Calculate the lowest common multiple of k and 28.
28
Suppose 34072 - 123944 = -4*u. Let l = -1617605/72 + u. Calculate the common denominator of 2/3 and l.
72
Suppose 5*n + 2 = 22, -4*c + 2*n + 128 = 0. Suppose -26950 = -q - c*q. What is the smallest common multiple of q and 20?
1540
Let t(z) be the first derivative of -2*z**3/3 + 79*z**2/2 - 20*z - 131. What is the lowest common multiple of t(39) and 7?
133
Let n = 453401 - 588967934/1299. Calculate the common denominator of 57/10 and n.
12990
Let c = -29/50 + -4/75. Find the common denominator of c and (1 - 17/20)/((-1467)/(-43195)).
60
Let h = -29 - -29. Suppose h = -k - 2*x, 3*k - 22 = 6*x - x. Let z = -51 + 53. What is the lowest common multiple of k and z?
4
Let a = 1 - -1. Let l(g) = -15*g + 9. Let m(t) = 8*t - 5. Let h(d) = -5*l(d) - 9*m(d). Calculate the least common multiple of 33 and h(a).
66
Let t = 5756905/96 - 59969. Find the common denominator of (16/(-28))/(-2) - 19142/22848 and t.
96
Let n be (-4)/26 + 80/13. Suppose 18 = -3*o + n*o. Calculate the least common multiple of -6*(4 - 3)*(-22)/4 and o.
66
Let y = 17 - 25. Let r be (-16031)/15 + y/8. Let j = r - -1071. Find the common denominator of -29/12 and j.
60
Let n(m) = -2*m + 30. Let c be n(10). Suppose 3*v - c = 14. Find the common denominator of 101/10 and (-2)/v*(-2090)/(-44).
40
Suppose -147 = -25*x + 603. Calculate the common denominator of x/(-45) + (-631)/(-600) and -145/18.
1800
Let b(m) = -7*m - 38. Let p(w) = -w + 1. Let l(n) = -b(n) - 4*p(n). What is the smallest common multiple of 6 and l(-3)?
6
Let h(n) = -6*n - 4. Let k be h(-2). Let x = 105 - 83. Calculate the least common multiple of 15 and (x - -1) + (k - 10).
105
Suppose -121460 = -119*w + 32*w + 133102. What is the smallest common multiple of 6 and w?
8778
Let r = 164 + -146. Find the common denominator of (-156)/r*-2*1/12 and 121/12.
36
Let b = -18583/25 - -744. What is the common denominator of -39/1025 and b?
1025
Let g(t) = 9*t + 4. Let i(b) = 2*b + 1. Let a(o) = 2*g(o) - 11*i(o). Let w be a(-3). What is the lowest common multiple of w + 0 - (1 + (2 - 2)) and 9?
72
Let u = 83807 - 920962/11. Let b = -9879667 + 1086752999/110. Let q = u + b. What is the common denominator of q and 35/3?
30
Suppose h + 0*h - 14 = 0. Let o(r) = -r**3 + 5*r**2 - 4*r + 4. Let i be o(7). What is the least common multiple of h and i/(-15) - (-20)/(-150)?
56
Let w(h) = h**3 + 4*h**2 - 4*h + 3. Let i be w(-5). Calculate the lowest common multiple of (-10)/i*28/35 and 2/(2 + 11/(-6)).
12
Let x(d) = -4*d + 54. Let c be x(8). Let o(p) = p**3 - 22*p**2 + 2