ate the common denominator of ((-29)/30)/(f/(-5)) and (-249)/12 - (-2)/8.
12
Let l(a) = 3*a + 5. Let b be l(0). Suppose 126 = -2*g - b*g. Let i(t) = t**3 + 19*t**2 + 18*t + 6. What is the least common multiple of 24 and i(g)?
24
Let s be ((-21)/14)/((-2)/8*2). Suppose -2*y - s*b + 35 = 0, 2*y - 2*b - 17 = 13. Calculate the least common multiple of 40 and y.
80
Let j = -89363/1672 - -2193/88. Let w = j - -13199/494. Calculate the common denominator of w and -23/22.
286
Let c be (276/9 + 6)*3. Suppose 39*z - 49*z + c = 0. What is the lowest common multiple of z and 4?
44
Suppose -5*m + 8*h = 5*h - 54, 0 = 4*h + 12. What is the common denominator of m*12/162 - (-86)/(-6) and 109/24?
24
Let o = 2/18657 + 1996199/932850. Let d = 1589959/60 - 26497. Find the common denominator of d and o.
300
Let c = -1554919/252 + 43164/7. Find the common denominator of 107/270 and c.
540
Let u = -12 - -19. Suppose -j = f - 8, 3*j - 38 = -23. Calculate the least common multiple of (f/9 - -1)*6 and u.
56
Let x(i) = -390*i - 34*i + 5 - 19 - 42*i. Let r be x(4). Let w = r + 3657/2. What is the common denominator of w and -46/9?
18
Suppose 14*d = 19*d - 2*m - 272, d + 2*m = 52. Let v = 41 - d. What is the common denominator of (4/(-6))/((-58)/(-117)) and v?
29
Suppose 21*o = 8*o + 2871 - 2156. What is the smallest common multiple of 4370 and o?
48070
Suppose 771*v - 774*v + y = -284, -2*v + y = -188. Calculate the lowest common multiple of v and -2 + 173/1 + -3.
672
Suppose 76*x + u + 20 = 77*x, -u - 7 = 0. What is the smallest common multiple of x and 3919?
50947
Let y = 6/251 - 5839/2761. Find the common denominator of (-2)/(8 + 2/(-108)*381) and y.
187
Let s(t) = -2*t**2 - 12*t - 1. Let w be s(-6). Let r = 151/6 - 367/15. Calculate the common denominator of r and 35/7*w/(-11).
110
Calculate the lowest common multiple of (27/((-1215)/50))/((-16)/(-18) + -1) and 580.
580
Let q be (-2)/(-4) - (-1)/((-242760)/(-1109746)). Let z = q + 1/17340. Calculate the common denominator of z and -43/14.
14
Suppose 3*c - 100 = 8. Calculate the lowest common multiple of c and ((-4)/6 - (-92)/(-24))/(123/(-656)).
72
Suppose -225*o + 36269 + 113446 = -54810. What is the least common multiple of 9 and o?
909
Let v(d) = 7*d - 222. Let y be v(41). Suppose 74*q - 297 = y*q. Calculate the least common multiple of 357 and q.
3927
Suppose -23 = -8*n + 1. Suppose -5*w - y - y = 23, 0 = 2*w - n*y - 6. What is the least common multiple of (-1)/(2/4)*(1 + w) and 22?
44
Suppose 16*g - 33516 = -155*g - 123*g. Calculate the lowest common multiple of 2394 and g.
2394
Let v = -414433/52 - -7971. Find the common denominator of -67/156 and v.
156
Let p = -199 + 280. Calculate the smallest common multiple of ((-168)/20)/((p/(-60))/9) and 64.
448
Suppose -22*a = -81*a + 36*a + 24472. What is the smallest common multiple of 80 and a?
10640
Let b = -5390 + 107859/20. What is the common denominator of 3*12*6/30 and b?
20
Let m = -4183/792 + 1/264. What is the common denominator of 77/3628 and m?
32652
Let o be ((128/20)/(-8))/(2/485). Let t = o - -264. Calculate the lowest common multiple of t and 5.
70
Find the common denominator of (76 - (-5777)/318)*(-2)/(-160) and (-173)/(-28) - (-2)/(-8).
672
Let x(q) = -q**3 - 22*q**2 - 43*q + 27. Let v be -10*8/12*3. Let a be x(v). Suppose -10*d + a = -203. Calculate the lowest common multiple of d and 10.
290
Let u = -709/210 - 32/21. Let h = 3013/28946 - 9/82. Let j = h - -1434/3883. What is the common denominator of u and j?
110
Let t = -118 + 174. Calculate the common denominator of -39/4 and (-1839)/378 + -2*(-4)/t.
36
Suppose -3*m - 12 = 0, 5*r + 0*m + 10 = 5*m. Let x(y) = -11*y + 14. Let t be x(r). What is the lowest common multiple of (-8)/(-10)*t/32 and 1?
2
Suppose 5*x = u + 46, 4*u + 34 = 5*x - 0*u. Let m(r) = -8 - 8504*r + 39 + 8505*r. Calculate the smallest common multiple of m(-19) and x.
60
Calculate the common denominator of (-16)/9 + 2 + ((-36828)/243)/(-31) and 4/325.
2925
Suppose -3*u = -159 + 294. Let f = u - -61. Calculate the smallest common multiple of 58 and f.
464
Let j = 17 - 67. Let l be 0 - (7101/(-135) + 4/(-10)). Let u = j + l. Calculate the least common multiple of u and 1.
3
Let h(v) = 3*v - 22. Let a be h(10). Suppose 0 = -9*w + 10*w - a. Find the common denominator of 4/(-39)*3*(-94)/w and -151/6.
78
Let o be ((-1)/(-3))/(16/(-48)). What is the common denominator of 1 + o + 142*3/(-12) and -45/2?
2
Let v = -3178/5 + 639. What is the common denominator of -2/79 and v?
395
Suppose 5*m - 36 = 5*z - 1, -5*z + m - 15 = 0. Calculate the lowest common multiple of 24 and 21 - (45/(-5) - z).
168
Suppose -65*d + 21892 = 2*d - 23534. What is the smallest common multiple of 3 and d?
678
Let q = 22 + -70. Let t = -45 - q. Let g(f) = 2*f. What is the smallest common multiple of t and g(3)?
6
Let t(h) = 6*h**2 + h - 3*h**2 - 2*h - 15 + 0*h**2. Calculate the least common multiple of t(3) and 13.
117
Let l = 260 - 3193/12. What is the common denominator of 5/(-30)*244*(-1)/106 and l?
636
What is the common denominator of -79/12 and (-26945)/(-10370) + (0 - 3)?
732
Let c = 168719/50694 - 80/1207. Calculate the common denominator of c and (-2)/(-5) - 1186/240.
168
Let w be 30/4*(583 - -3). Let b be (w - 17) + (0 - 3). Let j = 35089/8 - b. Calculate the common denominator of -44/15 and j.
120
Let a(z) = -2*z**3 - 2*z**2 - 62*z - 262. What is the smallest common multiple of a(-8) and 60?
6780
Let s be (-5 - (-120)/32)*-2*2. Calculate the smallest common multiple of 2 and (s - 25/3)/((-3)/117).
130
Find the common denominator of (111/(-214))/(1458/(-216)) and 43/2568.
7704
Suppose -q = -2*i - 1022, 0*q + 5*q - 5110 = -3*i. Let p = -14351/14 + q. Find the common denominator of -52/5 and p.
70
Let a be 616/(-33)*(-9)/2. Let r = 86 - a. Suppose 0 = -r*k + 5*k - 60. What is the least common multiple of 4 and k?
20
Calculate the smallest common multiple of 12 and (-2 + 5 - -369) + (14 - (-14 - -19)).
1524
Let r = 44 + -80. What is the least common multiple of ((-2064)/r)/((-8)/(-12)) and 4?
172
Calculate the common denominator of -25/299 and ((-12)/10)/((-14)/(-60)).
2093
Suppose 6*x - 13 = -37. Calculate the common denominator of 95/28 and (9 - 5 - (-43)/x) + -2.
28
Let a = -13989/2 + 7021. Find the common denominator of a and (7/2)/((-423)/33).
282
Let g(p) = -p**2 + 19*p + 22. Let y be g(20). Let x(o) = 7*o - 10. Calculate the lowest common multiple of 54 and x(y).
108
Let f(q) = -q**3 - 25*q**2 + 6. Suppose 0 = z + 23*z + 600. Calculate the lowest common multiple of 20 and f(z).
60
Suppose 3*p - 683 = 3*h - 101, -194 = -p + 3*h. Let y = p - 187. What is the least common multiple of y and 3?
21
Let r = -2107209/68 + 30989. What is the common denominator of 1/4 + 42/(-44) and r?
748
Let t(n) = n**2 - 15*n + 41. Let c(v) = v**3 - 5*v**2 - 11*v - 8. Let g be c(7). What is the least common multiple of t(g) and (-1)/((-3)/33 + 0)?
165
Let h be 4 + -1 + (10 - 7). What is the common denominator of h + 438/(-84) + 5 and 91/10?
70
Suppose -17*c + 109 + 95 = 0. Find the common denominator of (-2625)/50*1/c and -41/22.
88
Let t(l) = -4*l**2 + 15*l**2 + 7 - l**2 - l - 9*l + 7*l**2. Calculate the least common multiple of t(1) and 16.
112
Calculate the common denominator of 9/(-16200)*-5155 - 24/15 and 19/2032.
18288
Suppose -4*v + 5 = -5*v, 3*n - 37 = 5*v. Suppose 0 = -n*z + k + 76, -2*z - 10 = 3*k - 34. Calculate the smallest common multiple of z and 6.
18
Suppose 0 = 303*g - 573488 - 523675. What is the lowest common multiple of 497 and g?
25347
Let g = -237840 - -80865671/340. Calculate the common denominator of g and 61/748.
3740
Suppose 5*c - 6 - 16 = -3*d, 0 = 5*d - 6*c - 8. What is the smallest common multiple of d and 3021?
12084
What is the common denominator of (-130)/104*(0 + (-146)/(-135)) and -7/72?
216
Suppose 760 = -28*k + 24*k. Let w = -183 - k. Calculate the least common multiple of w and 120.
840
Let q be 16 + 0 + -4*1. Let d = 15 + q. Let h(s) = s + 18. Calculate the smallest common multiple of h(-9) and d.
27
Suppose -6*o + 2*o - t + 6916 = 0, 0 = 5*o - t - 8636. Let z = o - 18982/11. What is the common denominator of z and 696/80*(-1)/3?
110
Let s = 182 - 159. Suppose k + 4*k = 5*i - 155, 3*i + 4*k - 107 = 0. Let h = i - s. Calculate the smalles