 the common denominator of 8 + r + 53/(-4) and -101/168?
168
Let g(y) = -27*y**3 - 2*y**2 + y. Let u be g(1). Let d = u + 67. What is the lowest common multiple of 11 - 5 - (-1 - 0) and d?
273
Let q(g) = g**2 + g - 2. Suppose 0 = 2*z + 22. Let l be (-3)/(-6)*z + 5/10. Calculate the least common multiple of q(l) and 33.
198
Let k = 7629 - 7579. What is the lowest common multiple of 32 and k?
800
Let b = 1901 + -1891. Calculate the lowest common multiple of b and 263.
2630
Let p be (-152)/(-7) + (-6)/(-21). Let w be 3/(-1) - (0 - (p - 1)). Calculate the common denominator of 218/w + (2 - (11 + -5)) and 1/5.
45
Let j(s) = 253*s + 212. Let k be j(-5). Find the common denominator of ((-1)/(-6))/((-9)/124) and (3/(-2))/(k/(-5460)).
27
Suppose 43 = h + 4*u, 0 = 3*h - 2*u + 11 - 84. Let c = -40 + 70. Calculate the lowest common multiple of h and c.
270
Suppose -171*c = -172*c + 82. Let w = c + -64. What is the least common multiple of w and 9?
18
Let k be (30/84)/(-5)*31/(-29). Let o = k - -19849/3248. What is the common denominator of -27/38 and o?
304
Let o(a) = a + 3. Let k be o(-4). Calculate the smallest common multiple of ((-1)/(-1))/k*-8 and ((-22)/2 - -7) + 5.
8
Find the common denominator of -1/13 and (-90)/(-300) + 309*(-4)/(-880).
572
Let i = -12039747/1214492 - 242/7061. Let j be (28/(-301))/(42/889). Let l = i + j. What is the common denominator of l and -11/2?
12
Let j = -28259/34705398305 + 3899102710960781760553/38245348932110. Let c = 101949760 - j. Let l = c - -6/551. What is the common denominator of -53/6 and l?
6
Let d = 92 - 101. Calculate the common denominator of (-2)/d - (-741)/(-117) and -55/18.
18
Suppose 0 = 4*y + 4, -3*b - 2*y + 103 = 3*y. Let q = -57 + 65. Calculate the lowest common multiple of q and (2/(-3))/((-1)/b).
24
Let n = -1/422206 + -17099203/59108840. Calculate the common denominator of 61/224 and n.
1120
Calculate the common denominator of ((-20)/(-35))/((-2124)/(-15) - 3/5) and 39/329.
987
Suppose 0 = 5*u - a - 2285, 3*a = -2*u + 1110 - 213. Let j = -452 + u. What is the least common multiple of j and 44?
44
Let x = -69 + 99. Let f be (-10)/(-15) + 3981/x. Let w = -791/5 + f. Find the common denominator of 69/8 and w.
24
Let z = 16571 - 15691. Calculate the lowest common multiple of 1760 and z.
1760
Let u = 19683/8 - 2465. Calculate the common denominator of u and 3/1 + 1350/(-56) + 25.
56
Suppose -2*q - 5*l = -q - 17, 0 = -2*q + l + 67. Suppose -2*f = -4*a - 52, f + 5 = -2*a - 25. What is the least common multiple of (a + 10/(-5))*-3 and q?
96
Let s(f) = f**2 + 2*f + 7. Let v(r) = r**2 + 3*r + 6. Let i(q) = -3*s(q) + 4*v(q). What is the least common multiple of i(-6) and -2 + 286/13 - (-6 - 12)/(-9)?
18
Suppose 2*l + 670 = 3*b, -6*l + 7*l = 4*b - 890. Calculate the least common multiple of (1 - 100)*6/(-18) and b.
2442
Suppose 3*s = -2*t - 59 + 565, -503 = -3*s + t. What is the least common multiple of 84 and s?
168
Let j = -2496999 - -39927227/16. Let a = -1545 - j. Find the common denominator of a and (-196)/52 - (-2)/4.
208
Let p(i) = -2*i**3 + 25*i**2 - 13*i + 45. Calculate the lowest common multiple of 2271 and p(12).
24981
Let s = 20 + -17. Suppose -6*b + s*b - 1 = 2*z, b = z - 2. What is the lowest common multiple of 12 and -3*(51/(-9) - b)?
84
Suppose -3 - 2 = u - 3*g, 2*g = 4*u. What is the common denominator of (-3)/(-99)*(-38)/2 and 2889/405 + -5 + (2 - u)?
165
Suppose 14*x - 86597 - 101037 + 28958 = 0. What is the lowest common multiple of x and 2?
11334
Let j(c) = -c**3 - c**2 - 2*c - 2. Let q be j(-2). Let a = 9822 + -9807. What is the smallest common multiple of q/(3*-1) - -8 and a?
30
Let q = 12908 + -206567/16. Find the common denominator of q and (-27)/(-8)*3/(-24).
64
Let i(j) = 20*j**2 - 26*j - 28. Calculate the least common multiple of 80 and i(4).
3760
Let t = -4/5089 - -473317/50890. Let v(b) = 215*b - 8. Let c be v(1). Find the common denominator of t and (-1 + c/204)/((-6)/(-108)).
170
Let k = -156 + 385. Suppose -k = -50*h + 171. Calculate the smallest common multiple of h and 8.
8
Let i = 1015 + 560. What is the lowest common multiple of 105 and i?
1575
Suppose 577 = 5*g + 5*s + 132, s = 1. What is the smallest common multiple of 0 + (-2 - -2) + 1 and g?
88
Suppose 0 = -4*b - x + 33 + 17, 0 = -4*b + 2*x + 32. What is the lowest common multiple of b and 1334?
14674
Find the common denominator of -87/3706 and ((-30515)/(-7630) + -4)/(-6 + (-6305)/(-1053)).
25942
Suppose -75 = 2*v - 269. Suppose 5*u = -v + 187. Calculate the least common multiple of 30 and u.
90
Suppose 84 - 72 = n. Let y be (-16)/(-1) + 10 + -12. Suppose 0 = -2*c - 2 + y. What is the lowest common multiple of c and n?
12
Suppose -7*t = -5*t + 2*z - 12, 6*t - 5*z - 69 = 0. Let b(j) = -j**3 + 6*j**2 + 4. Calculate the smallest common multiple of t and b(6).
36
Let a be 706/4 + (-8)/(-16). Suppose 17 = -4*g + a. What is the common denominator of 2/10*g/96 and -11/2?
12
Let j = -25865 - -1216763/47. Let a = 113371/4512 - j. Find the common denominator of -81/16 and a.
96
Let z = 188 + -155. Let q = z - 47/2. Find the common denominator of 30/11 and q.
22
Calculate the common denominator of 64/981 and (-15181)/(-169059) + 10/(-165).
10791
Let z = 118883 + -75691. Calculate the least common multiple of 20 and z.
215960
Suppose 22*d - 6904 = 47986. Let b = d + -14851/6. Find the common denominator of -9/26 and b.
78
Calculate the common denominator of (6 - 574/98) + ((-507)/252)/1 and 103/48.
336
Let b = 1159/9 + -88147/684. What is the common denominator of -103*-1*1/18 and b?
684
Let l = 8535665/1104 - -44813/138. Let d = -8053 + l. Find the common denominator of -107/36 and d.
144
Suppose 0 = 148*g - 631 - 849. Calculate the lowest common multiple of g and 3770.
3770
Let c = 654 - 11857/18. Find the common denominator of 16/200 - 4906/700 and c.
126
What is the least common multiple of -1*(-1)/(-5) - 14/(840/(-27612)) and 3?
1380
Suppose -3*i = -l - 377, 3*l - 255 = -85*i + 83*i. Calculate the lowest common multiple of i and 2502.
17514
Let j = -16176 + 17248. What is the least common multiple of 402 and j?
3216
Let l be (-52)/20*5*-2. Suppose -j + l = -127. Calculate the least common multiple of 10 and j.
1530
Let b = 113 + -73. Let w = b - 35. Suppose 2*k - w = 7. Calculate the smallest common multiple of 20 and k.
60
Let a(c) = -c**2 - 8*c - 14. Let m be a(-5). What is the least common multiple of 27 and (99/(-27))/(m/(-9))?
297
Let v = -4538 + 72677/16. Find the common denominator of 2*-1 - (-609)/(-70) and v.
80
Calculate the common denominator of (-62135)/61404*((-2)/6 + (-44)/12) and 4/78*(-4)/8.
273
Let j be (-158574)/(-31642) - 5/1. Let i = -84589/53548 + j. Calculate the common denominator of i and -77/40.
440
Suppose i = 2*i - 2*j - 134, i - 149 = -j. Suppose 41*m - 45*m + i = 0. Calculate the least common multiple of m and 15.
180
Suppose 0 = 3*d, 136*h + 16632 = 138*h + 2*d. Calculate the least common multiple of h and 3024.
33264
Let m(i) = -5*i**2 - 5*i - 2. Let y be m(-2). What is the common denominator of 68/9 and (-20)/y + 268/30?
45
Suppose 5*s - 2*x = s + 1444, 1444 = 4*s + x. Let p = 85786 + -597981/7. Let r = p - s. What is the common denominator of 45/2 and r?
14
Let j(n) = 8*n**3 + n**2 + 17*n + 16. Suppose 2*w - 100 = -2*s, -4*w + 188 = -s - s. What is the least common multiple of j(0) and w?
48
Let q(u) be the third derivative of 5/2*u**3 + 22*u**2 - 1/60*u**5 + 0 + 1/3*u**4 + 0*u. Calculate the smallest common multiple of 18 and q(9).
18
Suppose -3101 = -10*l + 1659. What is the least common multiple of l and 2?
476
Suppose 25*n - 15 - 35 = 0. Calculate the smallest common multiple of n/4*((1 - -4) + 23) and 86.
602
What is the common denominator of 14/37 and 3/74*45200/(-678)*1/92?
851
Find the common denominator of -3 + 8079/3006 + ((-378)/(-72))/21 and 4/15.
10020
Let u = -293 + 357. Suppose c + u = 5*i, i + c - 12 = -4. Calculate the lowest common multiple of 338 and i.
2028
Let r be 2/(-3) - (-2)/3*-8. What is the least common multiple of -5*((-24)/r)/(-4) and (-5 + 4)*12/(-2)?
30
Let w = -2724 + 2788. Calculate the smallest common multiple of 40 and w.
320
Let d = -3131121921/266798 - 25/19057. Let v = 11730 + d. Find the common denominator of v and (-284)/(-40) + (-32)/8 + 7.
70
Let