 Let h be q(17). Suppose -5*w + 4*d = 0, -h + 29 = 2*w + 4*d. Calculate the least common multiple of 164 and w.
164
Let d = -2647882607/780 - -3394722. Let h = d + -9/13. What is the common denominator of h and -71/90?
180
Calculate the smallest common multiple of 168 and ((-279)/(-279))/(2/192).
672
What is the common denominator of (((-39)/(-520))/((-27)/636))/(1*2) and 23/140?
420
Suppose 3*v + 0*v = -4*m - 81, v + 93 = -5*m. Let t = 310384/42975 + -1/4775. Find the common denominator of (357/(-14))/(m/5) and t.
36
Let g = 212/153 - 165745/115974. Find the common denominator of g and (-11)/(132/(-510)) + (8 - 1).
758
Let l = -445456133/18 - -24757727. Let m = 10170 - l. What is the common denominator of -97/20 and m?
180
Let j be 63750/240 - 3/(-8). Calculate the common denominator of j/18*4/(-14) and ((-3)/(-72))/(6/(-8)).
18
Let i = 255298402/3165 - 80663. Let r = -311343733/34 - -1478105600608/161415. Let z = i + r. Find the common denominator of z and 2/27.
54
Suppose 6*x = x + 15. Let w be ((-2)/x)/(4/3)*-4. Suppose 2*i - 21 = -5*a, w*i - 6*i + 3*a + 29 = 0. Calculate the smallest common multiple of 14 and i.
56
Let p = -23559 + 58850385/2498. What is the common denominator of 17/10 and p?
12490
Let f(p) = p + 17. Suppose 5*q = k + 242, 2*k - 140 = q - 4*q. What is the lowest common multiple of q and f(3)?
240
Let h = -1835 - -1913. Suppose -4*q = -4*o - 280, -2*o = 5*q - 10 + 178. Let s = h + o. What is the lowest common multiple of s and 22?
44
Suppose -36 = -4*i - 4*r, -i - 5*r + 23 = 2*i. Let g = i - 7. Suppose 0 = -5*q - 2*y + 51, -q + 92 - 69 = 2*y. Calculate the lowest common multiple of q and g.
28
Let j = -1773 + 10699/6. Find the common denominator of -127/1010 and j.
3030
Let g = -32146415/1983 - -16211. Let l = -4651/23796 - g. What is the common denominator of 67/32 and l?
288
Let x = -1682552523/2006 + 838760. Calculate the common denominator of x and 95/2.
2006
Suppose 3*m = -m + 24. Suppose -55 = -5*c + 3*n - m*n, 2*c + 2*n = 26. What is the lowest common multiple of c and ((-375)/(-75))/(30/24)?
8
Let m = -3687/656 - -815717/147600. Calculate the common denominator of m and -47/450.
1800
Let a(g) = 2*g**2 + 1567*g - 9462. Suppose -95 - 131 = -f. Calculate the smallest common multiple of a(6) and f.
1356
Let f(j) = 4*j**2. Let c be (13/39)/((1*-2)/12). Let l(h) = h**2 - 5*h - 13. Let i be l(c). Calculate the least common multiple of 28 and f(i).
28
Suppose 22*h - 28*h + 30 = 0. Let x(c) = -2 - 5*c**2 - c**3 + 3*c**3 - c**3 + h*c. What is the lowest common multiple of x(4) and 100?
100
Let b = 10 + -17. Let j = b + 10. Find the common denominator of 5/2 and ((-2)/8)/(12*j/369).
16
Calculate the lowest common multiple of 455/273 + 2000/6 and 20.
1340
Let w = -357 + 379. Suppose -7*f - 2100 = -w*f. Calculate the lowest common multiple of 20 and f.
140
Let c = 8141920995 - 1644675252423/202. Let n = c + 35700. Find the common denominator of -47/20 and n.
2020
Let m = -5 + 11. Let z(v) = -38*v + 298. Let t(c) = -26*c + 199. Let b(y) = -8*t(y) + 5*z(y). Calculate the least common multiple of b(6) and m.
6
Suppose 2*z + 120 = 2*j, -5*j - 1342*z + 1343*z + 276 = 0. What is the lowest common multiple of j and 891?
1782
Let r(u) = -7*u + 5. Suppose 16 = -5*g - d, 0 = -2*g - 6*d + 2*d - 10. Let z be r(g). Calculate the common denominator of 27/2 and (z/3)/(120/27).
20
Find the common denominator of (1/(-4))/(30/388) and ((5 + 250/(-6))/12)/(-15 - -14).
90
Let w = -253131/28 + 9038. What is the common denominator of w and -85/44?
308
Let x = 261 + -177. Suppose 455 + x = -7*i. Let w = i - -89. What is the smallest common multiple of 14 and w?
84
Let d be (2 - 177/(-2))*(-936)/6. Let c = 423689/30 + d. Find the common denominator of 23/12 and c.
60
What is the common denominator of 121/78 and (278/1807)/(24/(-607)) + 4?
156
Suppose -2275 = 7*m - 12*m - 4*x, -2*m + 910 = 4*x. Calculate the least common multiple of 130 and m.
910
Let h be 2/4 - (-15)/6. Let q = -2/157 - -10213/628. Find the common denominator of 30/(-14)*(h + 0) and q.
28
Suppose 4*m + 80 = 224. Suppose 0 = 7*k + 4*q - 92, -4*q - 9 = 11. Calculate the lowest common multiple of k and m.
144
Suppose 124 = -5*d - 51. Let t = d - -35. Suppose t*r + 5*r + 3*i = 48, 5 = 5*i. Calculate the smallest common multiple of r and 2.
18
Let d(k) = -355*k**2 - 5*k + 35. Let q be d(3). Let f = -63487/20 - q. Find the common denominator of (13/(-14))/((-2)/(-2)) and f.
140
Let d be 2*14/4*(-60)/(-7). Let r = 23 - d. Let z = -33 - r. What is the lowest common multiple of 5 and z?
20
Let t = 13227 + -12397. What is the lowest common multiple of 1 and t?
830
Let p(m) = -1095*m + 9948. Calculate the lowest common multiple of p(9) and 1*3/((-12)/(-40)).
930
Let j(t) = -2*t**2 + 276*t - 3669. Find the common denominator of j(15) and (-12)/3 + 74/36.
18
Let i = -55 - -95. Let o = -116 - -116. Suppose 4*t - 5*h - 55 = o, -t + 4*h = -4*t + 18. What is the lowest common multiple of i and t?
40
What is the common denominator of 8/(-10)*(11 + (-4373)/400) and -21/220?
5500
Let f be (34/40)/((-506)/528). Let v = f - -117/23. What is the common denominator of v and 1 - ((-69)/(-2))/1?
10
Suppose 7*u + u = -u. Suppose 12 = 3*g - u. Calculate the lowest common multiple of 45 and g.
180
Let h = 41 + -42. What is the lowest common multiple of (-159)/(-33) - 6/(-33) and (-12)/(-4)*4/(-4)*h?
15
Let f be (-16010)/126 - 2/9. Let t be -15 + (19 - 11) + -120. Let q = t - f. Calculate the common denominator of q and -6/41.
287
Calculate the least common multiple of 78 and ((-936)/14)/(24/(-84)).
234
What is the least common multiple of 288 and (-918)/(-57) - (36/(-114))/(-3)?
288
Suppose 0 = -2*q - n + 30, -2*q + 37*n = 34*n - 30. What is the lowest common multiple of 50 and q?
150
Let z = -13319/849 + 6/283. Let g be (-23 + 8)*(-54)/(-7)*1. Let t = -11737/105 - g. What is the common denominator of t and z?
15
What is the common denominator of (1/(-36))/(4/(-328)) and ((-344)/24 + -2)/(1606/6 + -3)?
7146
Let u(f) = -f**3 - 2*f**2 + 2*f + 6. Suppose 129*k - 1538 = 10. Calculate the smallest common multiple of u(-4) and k.
60
Suppose -5*k + 25 = 0, 0 = -3*b + 2*k + 7 + 85. Calculate the least common multiple of b and 472.
8024
Let u = -345 + 234. Calculate the lowest common multiple of (-3 - 0/1) + 11 and 32/(-20) + 9/15 - u.
440
Let j = -1161424733053755/4129954533082 - -87681810/311801. Let l = j + 11/1258. Let q = -1589867/63174 + l. Find the common denominator of 37/2 and q.
6
Let p = -35932 - -35940. What is the lowest common multiple of p and (-1)/2 - 90/(-4)?
88
Suppose 6 = -4*j + 2*a, 2*j + 15 = -a + 6*a. Calculate the least common multiple of (-30 - -29)/((3 + j)/(-135)) and 54.
270
Let t = 8100349/138 + -58699. Calculate the common denominator of t and -61/342.
7866
Suppose -2645 - 2539 = -12*d. What is the common denominator of (-298)/(-10)*(-3)/(-18) and (1 + -80)*18/d?
120
Let c = 64 + 17. Find the common denominator of 189/(-12)*c/(-630) and 73/20.
40
Let j = 60 + -60. Suppose 3*x + 2*c + 8417 = -j*c, 2815 = -x - 3*c. Let u = x - -11271/4. What is the common denominator of u and -35/2?
4
Let s(m) = m**3 + 14*m**2 - 36*m - 58. Calculate the lowest common multiple of s(-16) and 615.
1230
Suppose 1 = -3*d + 4, -2*n + d = -479. Calculate the least common multiple of n and 75.
1200
Suppose -9*g + 18938 = p - 4*g, 4*p = 3*g + 75798. Let o = p + -871543/46. Calculate the common denominator of 11/18 and o.
414
What is the lowest common multiple of 7950/126 + 10/(-210)*2 and 385?
3465
Let a = -30395/12 + 2535. Let f = -3/4 + a. What is the common denominator of (1989/(-24))/13 - 1 and f?
24
Calculate the common denominator of -38/1507 and (-495)/(-275) + 44/120.
9042
Let l(q) be the second derivative of 5*q**3/2 - 71*q**2/2 - q - 48. What is the smallest common multiple of 44 and l(5)?
44
Let a(j) = -j**3 - 9*j**2 - 5*j - 5. Calculate the least common multiple of (3*(-2)/15)/(-8 + 2997/375) and a(-9).
200
Calculate the common denominator of -63/20 and ((-26)/(-24))/(11/((-121)/33)).
180
Suppose 4 = -3*p - 2*x + 9, 5*p - 5*x = 25. Let h be ((-181224)/15)/(-4) - 6/p. Let w = h - 3008. Calculate the common denominator of 40/9 and w.
45
Suppose 0 = -3*t - 3*t + 384. Let j = -4126 - -4206. Calculate the lea