nd 144.
288
Let t = 2761/1059 - -21/353. Find the common denominator of t and 1870/5026 - (-4)/(-14).
1077
Let f = -658409/1913547 + -6/10811. Calculate the common denominator of -13/236 and f.
708
Let d = 19/6067 + -236721/1971775. Calculate the common denominator of -27/455 and d.
2275
Let u be (-108)/(-30) + (14/10 - 1). Suppose u*l - 2*y + 0 = -16, -2*y = 4*l. What is the common denominator of 47/12 and (-1*(-138)/(-14))/l?
84
Let n = -7915 + 118793/15. Find the common denominator of -5/117 and n.
585
Let g = 18060 + -632026/35. Calculate the common denominator of g and 19/14.
70
Suppose -140 = 5*h - 2*s, 5*h - 8*h = 3*s + 63. What is the smallest common multiple of h/(-8) - (-30)/40 and 50?
100
Suppose -8*j + 6*j + 50 = 0. Suppose 24*v = -i + j*v + 2, 0 = 4*i - 2*v - 16. Suppose -20 = -4*r + 24. Calculate the lowest common multiple of i and r.
66
Let p = -21667/16 - -308111/336. Let b = 437 + p. What is the common denominator of -51/91 and b?
273
Let a = -1812 + 1794. Suppose -64 = 3*s - 394. What is the common denominator of -77/8 and s/12 - a/(-27)?
8
Let h = 519 + -517. Suppose 4*g = h*i + 70, 5*g + 3*i - 83 = i. Let w = 21 + -11. What is the smallest common multiple of g and w?
170
Suppose 10*m + 4 = 9*m. Let a be (3 + 3/(48/5252))*m. Find the common denominator of 4/(-20)*a/(-30) and 7/8.
24
Let g = -25006 - -149965/6. Calculate the common denominator of 3/(-57)*46/(-4) and g.
114
Find the common denominator of 113/408 and (-630)/140 - 1369/(-276).
9384
Let f be (644/(-9316))/7*-332 - 4. Let x = f - 14/137. What is the common denominator of x and -53/4?
68
Find the common denominator of 314/(-98) + 13 + (-209)/22 and -5/2.
98
Let l(h) = -3*h**2 - 128*h - 80. Let z be l(-42). Let w = 2 - 2. Suppose z*p + 2*u = -2*u, -2*p - 4*u - 8 = w. What is the least common multiple of 41 and p?
164
Let n(p) = -p + 25. Let z be n(28). Let x(q) = 2*q + 30. What is the smallest common multiple of x(z) and 30?
120
What is the common denominator of (-150)/(-175) + 1411/(-5355) + (-2)/9 and -58/6279?
31395
Let b = -409/21 + -41/7. Let i = -10194 + 162867/16. Let p = i - -359/16. Find the common denominator of p and b.
24
Calculate the common denominator of 63/214 and (-102970)/(-5320) - (-76)/(-4).
8132
Suppose -3*j + 13 = 2*f, -11*j = 4*f - 12*j - 19. Suppose -38 = -3*k + 2*h, f*k + 5*h - 2*h - 57 = 0. What is the smallest common multiple of 32 and k?
96
Let s(b) = b**2 + 9*b + 10. Let z be s(-9). Suppose -z*g + 34 = -56. What is the least common multiple of 3 - (-2 - 6*(-5)/10) and g?
18
Let k = -1385 - -4111/3. Let x = -114775677/2195752 + -151/21113. Let z = x + 548/13. What is the common denominator of z and k?
24
Let o = 2192/755 - 1/302. Calculate the common denominator of o and -1/761.
7610
Suppose -26*b = 44*b - 26*b - 396. Calculate the least common multiple of b and 3128.
28152
Suppose -4*t - 38*t = 88 - 298. Calculate the lowest common multiple of 41 and t.
205
Find the common denominator of ((-464)/812)/(2/7) - (-766)/350 and -123/140.
700
Let j = 5 - 3. Let b be 660/(-3)*(-4 + 32/10). Suppose -9*u + b = -u. What is the lowest common multiple of u and j?
22
Let b = -2806 - -2813. What is the least common multiple of 112 and b?
112
Suppose -2*u - 13*k = -16*k + 11, 0 = u - 4*k + 3. What is the lowest common multiple of 136 and (70/245 - 5/u) + 7?
136
Suppose 0 = -3*t + 2*t + 5*g - 1286, 5*t = 4*g - 6472. Let u be (6/3)/((-9)/t). Find the common denominator of -11/10 and ((-135)/u)/(9/66).
80
Calculate the lowest common multiple of (27 - (-8568)/(-280))*(-1 + (-6)/4) and 3795.
11385
Let s = 236395171/6192 + -343597/9. Calculate the common denominator of s and 25/86.
2064
Suppose 5*o = -4*v + 926, -1174 = -124*v + 119*v + 2*o. Calculate the smallest common multiple of v and 18.
234
Suppose -4*d + 5*g = 2342, 4*d - 457 + 2785 = -2*g. Find the common denominator of d/1386 - (-4)/(-8) and 64/21.
63
Let k = 3949 + -3547. Calculate the least common multiple of k and 48.
3216
Let j = 10 + -9. Let s = -139 + 121. What is the least common multiple of j and (3/s)/(9/(-54))?
1
Let o be 117565/24 - 40/60. Let b = 4908 - o. What is the common denominator of -39/29 and b?
232
Let r = -8/74833 - -567065/22599566. Calculate the common denominator of r and 121/3020.
33220
Let c = -6 - -5. Let z = 3 + c. Suppose 0 = 50*p - 83397 + 83197. Calculate the smallest common multiple of z and p.
4
What is the common denominator of -133/60 and 17110/4176 - (-3)/27?
120
What is the lowest common multiple of 1770 and 24/(-3) + (26 - 28) - -718?
3540
Let t(j) = 75*j**2 - 509*j + 3036. What is the smallest common multiple of 18 and t(6)?
2682
Let t be (4/(-6))/(2304/18242848). Let m = -213592/27 + t. Let j = m - -13181. Find the common denominator of j and 65/36.
36
Let c(d) = 35*d**2 + 1997*d + 199. Calculate the smallest common multiple of 765 and c(-57).
765
Suppose 0 = 5*k + 2*y - 23, 2*k - y - 3 = -1. Let h = 4769/7592 - 3/949. Find the common denominator of 1/k*(-1)/4 and h.
24
Let z = 10196 + -6688. What is the lowest common multiple of 6 and z?
10524
Let z = -13121/11390 - -76/67. Find the common denominator of z and -2 + ((-870)/(-108) - -1).
1530
Let i = -63409/88 + 2881/4. Let w = -50029/9424 - 9/2356. What is the common denominator of i and w?
176
Let b = -344 - -348. Suppose 0*l = -2*l - 10, -145 = -b*h - 3*l. What is the smallest common multiple of h and 16?
80
What is the common denominator of -67/98 and 108/56 - 50/(-150)?
294
Let s(t) = 10*t**2 - 128*t - 6. Suppose 2*a = -3*a + 70. Calculate the least common multiple of s(13) and a.
140
Let k = 1824611/65 - 28070. What is the common denominator of k and -119/156?
780
Find the common denominator of -39/218 and (4/(-6))/((-60)/9) - 28178/(-2920).
436
Suppose 2*r + 1 - 3 = 0. Let b(c) be the second derivative of c**3 + 68*c**2 - 2*c - 11. Calculate the least common multiple of b(-21) and r.
10
Suppose -5*z + 8*z + 9 = 0. Let v(h) = 3*h**2 + 2*h. Let q be v(z). Calculate the least common multiple of (q/1 - 3) + -4 and 2.
14
Let w = -2/18399 - -1012013/625566. Let q = 1281 + -2619/2. What is the common denominator of w and q?
34
What is the common denominator of -10 + ((-110295)/(-290))/43 and (-1)/7 - 0/3?
406
Let a be 12/(-28) - (-8)/(-14). Suppose -9 = -2*q + c, q - 15 = -3*q - c. Calculate the smallest common multiple of 10 and q - a - (0 + -2 + -1).
40
Suppose -8*z + 15*z - 78911 = 0. Let f = z + -180309/16. What is the common denominator of f and -77/18?
144
Let h = 58 - 31. Suppose 57*g = -7*g + 3072. Calculate the least common multiple of h and g.
432
Suppose -5*y = -8*y + 405. Suppose -8*u + y = -761. What is the smallest common multiple of u and 112?
112
Let i(h) = -2*h**2 + 32*h + 12. Let y be i(16). Suppose 3*q = 5*l + 55, 0 = -q + l + 9 + y. What is the lowest common multiple of 55 and q?
275
Let a = 6019 + -884773/147. Let i = 547/539 - a. Calculate the common denominator of i and -157/66.
66
Let h = -385277759/660 - -583754. Calculate the common denominator of 113/330 and h.
660
Suppose -2*a - 4 = -6*a + 2*u, 0 = 3*a + u - 13. Suppose 0 = -2*n - 2*z + 32, 0 = -a*z + 11 + 1. Calculate the smallest common multiple of n and 11.
132
Let f(s) = 216*s - 897. Calculate the smallest common multiple of f(11) and 870.
14790
What is the common denominator of 47/603 and (4/(-10))/((-80)/36600*-27)?
603
Let j be 1/(((-2)/5)/(3828/(-30))). Let p = j + -297. What is the least common multiple of p and 16?
176
Suppose 2*h = h - 42. Let i be (-1 - -1) + h/14 - -3. Suppose i = 2*o + 4 + 6, -d + 4*o + 38 = 0. What is the smallest common multiple of 1 and d?
18
Suppose 0 = -5*d + 5, -10*c + 5*c - 2*d = -137. What is the least common multiple of c and 1107?
1107
Let i = -284 - -424. What is the smallest common multiple of (50/35)/(10/i) and (5*2)/((-1)/(-2))?
20
Let p be ((-1)/3)/(13/(-702)). Calculate the smallest common multiple of (-5 - -1 - (12 + -13)) + p and 30.
30
Let m(s) = 28*s - 110. Let n be m(5). Find the common denominator of (14 + -8)/(-6) - (-104)/n and 43/3.
15
Suppose -14 = -4*t + 42. What is the lowest common multiple of 7*(-2 + 48/t) and 32?
160
Let i = 746 + -401. Let f = i + -321. What is the lowest common multiple of 78 and f?
312
Suppose 4*c = c + 5*j + 19, 0 = 4*j + 8. Let l be (-10 - -7)/