9)/3 - k. Suppose -r*x + 23*x = 24. Calculate the least common multiple of x and 43.
344
Find the common denominator of -11/135 and (45/840)/(630/2009).
2160
Suppose 5*k - 2*k = 264. Let u = k - 74. Let d(i) = 12*i + 2. What is the smallest common multiple of d(1) and u?
14
Suppose 2*c + 14*b - 9*b - 2489 = 0, -6150 = -5*c + 2*b. What is the lowest common multiple of 672 and c?
7392
Suppose -83*r + 94*r - 1188 = 0. Calculate the smallest common multiple of r and 126.
756
Let a = -18325978 + 678427705459/37020. Find the common denominator of a and -73/4.
37020
Find the common denominator of 27/44 and ((-3)/(-10))/((-121584)/(-340)).
13112
Let n = -155 - -1459/10. Calculate the common denominator of 57/6394 and n.
31970
Let a = -5655 + 1668223/295. Let b = a + -5886/2065. What is the common denominator of b and 1/2?
14
Let h(m) = m**3 + 3*m**2 - 6*m - 6. Let y be h(-4). Let l be 1202*y*(-11)/22. Let s = l - -19243/16. What is the common denominator of s and 31/8?
16
Suppose -65*m = 34*m - 990. What is the smallest common multiple of m and 482?
2410
Let k(x) = -17*x**3 + 5*x**2 + 4*x. Let y be k(-1). Let m be 2289/27 + 4/y. Suppose -m*r = -81*r - 208. Calculate the lowest common multiple of r and 2.
52
Let d be (1 + (-50)/52)/(621 + -107). Let n = -195451/33410 + d. Find the common denominator of 4/(-10) + 349/(-40) and n.
40
Let s = -1/52655 + 2474878/4896915. Calculate the common denominator of (-206)/42 + (-16)/(3 + -7) and s.
651
Let i be 3/2 - (1 + (-158)/(-4)). Let s(c) = c**3 - 9*c**2 + 8*c - 5. Let y be s(8). Calculate the least common multiple of 8 and (-5)/(-2)*(1 + i/y).
88
Suppose i - 1403 = 2*d - 811, 0 = -4*i - 4*d + 2380. Calculate the lowest common multiple of 27 and i.
594
Let n be 13820/(-6) + 10/15. Let a = -2282 - n. Calculate the common denominator of a and ((-828)/112)/(18/(-21)).
24
Let v = -3262/225 - -130/9. Let u = 1187/1650 - v. Find the common denominator of u and -149/24.
264
Let y(r) = -7 - r**2 + 10 + 0 + 10*r. Let x be y(10). Suppose -7*g = -x - 81. Calculate the smallest common multiple of 33 and g.
132
What is the common denominator of (-192)/1818*(-54)/(-84) and 5/2?
1414
Let i(g) = 73*g - 194. Let k be i(10). Suppose -616 = -18*w + k. Calculate the lowest common multiple of 72 and w.
576
Let i(h) = 14*h - 6. Let c be i(4). Let v = 104 - c. Suppose -1747*f + 1774*f - 54 = 0. What is the lowest common multiple of f and v?
54
What is the smallest common multiple of 244 and (-216)/81*(-3)/2 - -6?
1220
Let l be (-91)/35 + 9/15. Calculate the common denominator of 71/l*(3 + -10 - -6) and 43/9.
18
Suppose -t + 815 = -2*l, t - 2*l - 810 = l. Let u = 8784 + -228443/26. What is the common denominator of u and -4 - t/36*(-4)/(-30)?
234
Let p = 1718 + -985. Let u = 743 - p. Calculate the lowest common multiple of u and 42.
210
Suppose -4*p - 3*q = -5*q - 5594, 0 = -4*p + q + 5591. What is the smallest common multiple of 381 and p?
4191
Let w = -139 - -143. Find the common denominator of ((-141)/w)/((-13)/((-39)/(-9))) and -25/9.
36
Let d be -15 - 3/((-2)/2). Let g(k) = -k**3 - 14*k**2 - 28*k - 18. Let x = 51 - 27. What is the smallest common multiple of g(d) and x?
120
Let f be ((-4103)/5 + 1)/(-16). Let n = -16062 - -80017/5. Let y = n + f. What is the common denominator of y and 1/4?
8
Find the common denominator of 17/184 and (6/(-165))/(-21*(-2)/(-2555)).
6072
Let k be (-1)/54*10*2. Let c = 143/27 - k. Let o = 2054689/12 - 171223. Find the common denominator of c and o.
12
Let z be (-8)/(-3)*((-1365234)/(-8))/13. Suppose h - 7009 = 2*v, 0*h - 3*v = 5*h - z. Let l = h + -111969/16. Find the common denominator of l and 43/32.
32
Let b = -2249 + 2255. Calculate the lowest common multiple of 686 and b.
2058
Find the common denominator of 3920/(-134176)*((-24)/14 + 1) and 11/12.
7188
Let h = 188975/44 + 360513/88. Let q = h + -8402. Let m = -816/77 - -148/11. Calculate the common denominator of m and q.
56
Let w = -15 - -31. Suppose 4*g + w = 2*h - h, -2*h - g = -5. What is the common denominator of (-23)/((h/(-24))/(1/16)) and 71/4?
8
Suppose -5*r + 3*o = -122, r + 2*o = -r + 36. Suppose 3*d + 330*t = 326*t + 137, t + 172 = 3*d. What is the least common multiple of r and d?
110
Suppose 6*w - 4*t = 5*w + 1460, -t = -2*w + 2906. Let l = w - 2813/2. Calculate the common denominator of 93/22 and l.
22
Let y = -6677/525 + 387/25. Find the common denominator of -97/924 and y.
924
Let h(r) = -842*r + 824*r + 3 + 10*r**2 - 22 + r**3. Calculate the lowest common multiple of 18 and h(-11).
522
Let i = 126/53 - 6333/2597. What is the common denominator of i and 172/602*26/8?
98
Suppose -4*y - 4*s - 31 = y, -2*s = 4*y + 20. Let d(q) = -q**2 - 9*q - 10. What is the lowest common multiple of d(y) and 3/(9/39) + 1?
56
Let i(g) = 2*g**3 - 13*g**2 + 23*g + 4. Let t be i(16). Calculate the common denominator of ((-165)/t*-4)/((-3)/(-2)) and -59/9.
1071
Let q = 2105 - 1785. What is the least common multiple of q and 280?
2240
Let q be (1422/(-4)*197)/((-5419)/(-2)). Let i = 6332668449/368492 + q. Let n = i + -17160. What is the common denominator of n and -41/18?
612
Let r be -5*(2 - 22/10)*15. Suppose 6*b = -r + 21. What is the lowest common multiple of b and 6?
6
Let a(m) = -6*m**3 - 2*m**2 + 6*m + 9. What is the least common multiple of a(-3) and 405?
405
Let m be (-372)/(-8) + 3/2. Suppose 0 = -2*d - 2*j + 20, -4*d + j = -3*j - m. Let c(p) = -p**2 + 6*p + 6. What is the least common multiple of c(6) and d?
66
Suppose 2*j = 5*t - 1167, 0 = -2*t + 7*t + 4*j - 1191. Let d = 263 - t. What is the least common multiple of d and 44?
308
Let t = -10997023/619788 - -1513/1781. Let z = 1093/812 - 9/7. Let q = t + z. Find the common denominator of q and 65/14.
42
Suppose 17*l - 42*l + 38475 = 0. What is the common denominator of (-6)/(-4)*(-149)/18 and (-15)/(-25) - l/(-210)?
84
What is the common denominator of ((-62)/(-1872))/((-3)/((-990)/(-88))) and -107/168?
8736
What is the common denominator of -5 - (316/464 + -5) and (-445)/2*((-76)/(-15) - 5)?
348
Let x = 31/95 - 1297/190. Calculate the common denominator of x and 57/368.
368
Let q = 160961/20 - 8044. Calculate the common denominator of 37/2346 and q.
23460
Let y be 6*86/40*56/(-168). Let g = y + 1/70. What is the common denominator of g and 19/86?
602
Let r = 4454 - 4436. What is the lowest common multiple of r and 28?
252
Let g = -7 + 15. Let b(a) = -2*a + 34. Let l be b(g). Calculate the smallest common multiple of 2 and 15*1*l/15.
18
Let a be (-2 - 4/(-3))*(-2583)/(-6). Let z = -275 - a. What is the smallest common multiple of 39 and z?
156
Calculate the common denominator of -47/13 and (-1015)/(-1740)*14/103.
8034
Suppose 3*r = x - 2*x + 12, -2*r - 6 = -4*x. Find the common denominator of ((-18)/8)/x*594/(-45) and 194/6*(-6)/40.
20
Let z(y) = 18*y + 3*y**2 - 17*y + y**2 - 1. Let j be z(2). Suppose 0 = -3*q - p + j, 3*q = 4*p + 37. Calculate the lowest common multiple of q and 32.
224
Suppose 21*p + 267586 = -212621. Let c = 1783661/78 + p. What is the common denominator of c and 103/6?
78
Suppose 3*m = -7*b + 4*b - 6, 0 = -2*m + b - 16. Suppose 1384 - 1736 = -44*x. Calculate the common denominator of -4/9 and (x/(-10))/1*5/m.
9
Let k(j) = -j**2 + 7*j. Let m be k(5). Calculate the least common multiple of 6 and (-2)/(3 + m/(-3)).
6
Let g be (-11)/33 + (-11301)/(-34092). Let z = g + 152059/291676. Calculate the common denominator of 16/21 and z.
231
Let f = -66 - -72. Let c be 1*(-3)/f*96. Calculate the common denominator of (29/c)/(4/8) and -73/18.
72
What is the common denominator of (1274/(-920) - (-8)/40)*(-38)/(-114) and -67/10?
1380
Suppose 29*r - 21*r - 16 = 0. Let p be 79/r*(847/868 - 1). Let v = p + 18/31. Calculate the common denominator of -11/13 and v.
104
Let j(i) = -3*i + 8. Let o be j(8). Let p = o + 18. What is the lowest common multiple of 2 and (-1)/p*(-14 + -2 + 0)?
8
Let r = -5118163435 + 429918777383/84. Let j = r - -82750. Calculate the common denominator of j and 7/48.
336
Let l = 432722 - 1739577/4. Let m = -2154 - l. What is the common denominator of (10/(-4))/(6 + (-459)/90) and m?
36
Suppose 0 = p - 2*b - 30, 77*p - 79*p - 4*b = -116. What is the lowest common multiple of 1404 and p?
15444
Let g(k) = 45*k**3 - 2*k**2 - 2*k + 1. Let w(b) = -b**2 + 6*b + 17