 4*z - 9*z + 3*y + 147, 0 = 2*z + 2*y - 62. Find the common denominator of (34 - z) + 1/10 and 83/2.
10
Let x = -114/7 - -867/70. Find the common denominator of 60/1300*(-90)/8 and x.
260
Let g = -43564/3 - -8625707/594. What is the common denominator of g and -79/297?
594
Let h = -8179/690 - -209/23. Calculate the common denominator of h and 106/105.
210
Let v = 84 - 50. Suppose 24 = -f + 100. Let q = f - v. What is the least common multiple of 8 and q?
168
Let h = -187/48 + 35891/8880. Find the common denominator of 1 - (-5)/(40/138)*2 and h.
370
Let x(s) = -s**3 - s**2 - s + 4188. Let m be x(0). Let d = m - 330843/79. Let y = d - -2201/790. What is the common denominator of y and 47/6?
30
Let n(s) = 78*s - 35 - 36 - 46 - 43. What is the lowest common multiple of 8 and n(9)?
2168
Let c = 45485/36 + -1264. Calculate the common denominator of c and 3 - -1 - 91/168*26.
36
Suppose -54847 = 557*v - 644*v - 14914. Calculate the least common multiple of v and 30.
4590
Let p be 4/5*-2*-5. Suppose -3*h = 2*o - 21 - 9, -2*o + 2*h + 10 = 0. What is the lowest common multiple of 61/o - p/(-36) and 9?
63
Find the common denominator of -57/980 and (18/1344*8)/((-720)/1048).
5880
Let f(n) = -15*n**2 - n**3 - 9*n**2 + 46 - 27*n - 16 - 74. Calculate the smallest common multiple of 6 and f(-23).
48
Suppose 5*a + 4*l - 18 = 0, 0 = 3*l - 5*l + 4. What is the lowest common multiple of (-4)/(8/(-22)) - 2 and ((-255)/34)/(a/(-20))?
225
Let s(q) be the first derivative of 2*q**3/3 - 4*q**2 + 12*q - 38. Calculate the lowest common multiple of s(4) and 52.
156
Let a = 55751498933/896 + -435306986/7. Let z = a + -35943. Calculate the common denominator of z and -3/32.
128
Let i = -278 - -284. Suppose i*y - 233 = 31. Calculate the lowest common multiple of y and 8.
88
Let r be 4*(-12)/(-80)*45. Let k = r - 28. Calculate the lowest common multiple of (2/k)/(0 - 2) and 6.
6
Let z = -2395/10829 + -8/833. Let w = -2 + -8. What is the common denominator of z and (w/18)/((-4)/(-30))?
78
Let w be ((-2100)/(-294))/(72/175238). Let p = -17377 + w. Calculate the common denominator of -42/11 and p.
198
Suppose 0 = -2*w - 7 + 15. Find the common denominator of w/(-12)*1 + (-357)/(-99) and ((-182)/21)/((-16)/(-18)).
44
Let b(g) = 8*g**3 - 200*g**2 + 49*g - 1218. Let s = 29 + -1. What is the smallest common multiple of b(25) and s?
28
Calculate the common denominator of 107/1280 and (19/(-665))/(576/3633).
3840
Suppose -25*l = -12*l - 1040. What is the least common multiple of l/(-3)*(-3)/2 and 48?
240
Let y = 3/78829 - -2756714/60461843. Find the common denominator of 5/39 and y.
2301
Suppose 5*r + 1076 = 5*b - 129, -5*r + 223 = b. Suppose -104 = -5*k - 34. Calculate the least common multiple of k and b.
238
Find the common denominator of ((-37)/13764*-31)/((-38)/450) and 35/2071.
8284
Let s be (-87061)/259 - 1/(-7). What is the common denominator of (24/s)/((-48)/119) and 38/33?
1056
Let x = -85/547 - 20107/85332. Calculate the common denominator of -1/468 and x.
468
Suppose 21*s - 23754 - 57516 = 0. Calculate the smallest common multiple of 3010 and s.
27090
Calculate the common denominator of 54666/700704 + ((-2)/(-28))/(36/(-42)) and 9/20.
64880
Suppose 0 = 9*a - a - 3208. Let x = a - 397. What is the least common multiple of 22 and x?
44
Let j = -809/103 + 104917/14420. What is the common denominator of j and 179/840?
840
Let y(a) = -3*a**3 + 310*a**2 + 215*a - 722. Let b(h) = 2*h + 14. What is the lowest common multiple of y(104) and b(-6)?
6
Let a = 33640 + -4205056/125. What is the common denominator of a and 95/2?
250
Let p(h) = 2*h**2 - 18*h - 12. Let k be p(10). Suppose k*l = l + 28. Calculate the smallest common multiple of 8*(-2)/l - (-1 - 24) and 12.
84
Suppose 4*k = -4*z + k + 8, 0 = -4*k. What is the least common multiple of z and 446?
446
Let h = 1498 - 2616. Let q = -1195 + h. Let d = q + 41779/18. Find the common denominator of -11/58 and d.
522
Calculate the lowest common multiple of 10 + 1275 + (-168)/8 and 30.
18960
Let q(r) = -r + 1. Let c(g) = 8*g + 80. Let n(j) = -c(j) - 2*q(j). What is the lowest common multiple of n(-15) and 1?
8
Suppose -4002 = -95*h + 49*h. What is the smallest common multiple of 132 and h?
3828
Let n(b) = b**2 - 25*b - 82. Suppose 0 = -15*j + 10*j + 170. What is the least common multiple of j and n(28)?
34
Suppose 2*p + 2*a - 1928 = 2056, 0 = -4*a + 16. What is the smallest common multiple of p and 12?
5964
Suppose -30*z + 36*z - 1362 = 0. Let o = -191 + z. What is the least common multiple of o and 108?
108
Find the common denominator of -61/344 and ((-2)/4 - -1)*230/180.
3096
Find the common denominator of ((-680)/(-1785))/(90/(-98)) and (-10)/(((-216)/14)/1).
270
Let m(v) = 2*v**2 + 15*v - 2. Let n be m(13). What is the common denominator of 15/82 and -7*n/(-441) + 1/(-2)?
574
What is the smallest common multiple of 2055 and ((-772)/3860)/(1/(-15))?
2055
Suppose 0*z = 9*z + 954. Let t = 351 + z. Find the common denominator of 0 - t/(-45) - -3 and 25/57.
171
Let q = 87683/761398 + -78/653. Calculate the common denominator of -81/22 and q.
1166
Suppose 1286*j = 1274*j + 15840. Calculate the least common multiple of j and 792.
3960
What is the common denominator of (-1)/(-2)*((-912)/160)/((-98)/35) and -181/420?
840
Find the common denominator of (-1)/(-144)*(-262 + 2 - -6) and -44/567.
4536
What is the common denominator of -59/10 and (-2240)/(-420)*(-6)/(-1493)?
14930
Let h = -9159611/151 - -60660. Calculate the common denominator of 19/151 and h.
151
Calculate the common denominator of 1 - (13*8/(-24) + 2*2) and 25/311.
933
Find the common denominator of 19/160 and 25462/(-6320) + -2 - (-64 + 58).
12640
Let q be 1/2*-8 + -25. Let t = q + 24. Let u = -3 - t. Calculate the least common multiple of 11 and u.
22
Let w = 220 - 226. Calculate the smallest common multiple of -1 + (2 - 32)*14/w and 18.
414
Let k(r) = -8*r**2 - r - 2. Let b be k(-2). Let a = 70 - b. Calculate the smallest common multiple of 2 and a.
102
Suppose -7834 + 409 = -9*g. What is the lowest common multiple of g and 55?
825
Suppose 2*m + 38 = -4*h, -3*m + 0 = 3*h + 42. Let k be (-3)/m*83 - 32/(-24). What is the common denominator of (k/8)/(15/12) and 83/6?
30
Let i = -2/637 + -23557/3822. Find the common denominator of i and -91/6676.
20028
Suppose -18025 = -20*f - 8001 + 11736. Calculate the least common multiple of f and 306.
9792
Let y = -13723/5742 - -53/22. Let d = y - 2449/5220. Calculate the common denominator of -61/100 and d.
100
Let z = 14039/696950 - 2/13939. Find the common denominator of z and 13/10.
50
Let g(u) = -u**2 - 2*u + 2. Let y be g(-2). Suppose -5*f + 19 = -2*s, -2*f + s = 3*s - y. What is the smallest common multiple of f and 170/43 - 142/(-3053)?
12
Let j = 56 + -52. Let r be (2/j)/((-3)/5940). What is the common denominator of 39/20 and 2/(-8)*2068/r?
180
Let z(k) = 11*k - 2. Let c be z(4). Suppose 56*f = 62*f - 468. Suppose -c = -4*a + f. What is the smallest common multiple of a and 21?
210
Suppose 2*s - 2*a + 130302 = 0, 3*s - 4*s + 4*a = 65142. Let i = 782695/12 + s. Let b = i + -281/6. What is the common denominator of 83/6 and b?
12
Suppose -4*m = 4*s + 32, 4*s + 18 = -5*m - 22. Calculate the common denominator of -21/100 and 171/396 - 2/m.
1100
Let y(g) = 4*g**2 - g + 3. Let c be ((1 - -8) + 1)/(-2). Let h be y(c). Calculate the common denominator of (153/h)/((-4)/((-80)/(-6))) and -73/27.
54
Let c = 974689 + -3214524223/3298. What is the common denominator of 69/2 and c?
3298
Suppose 11*l = 10*l + 2. Let n be l/(-4)*-2 + (-13617)/117. Let u = 10183/78 + n. Calculate the common denominator of -23/13 and u.
78
Let h be 365/2010*-2 - 2/(-6). Let g = h - 8901/335. Let d = g + 373/15. Calculate the common denominator of 70/9 and d.
45
Suppose 2*g = 41*x - 46*x + 8488, g + 6 = 0. What is the smallest common multiple of 200 and x?
3400
Let l be (-2913)/504 + -10*(-4)/70. Let t = 31/120 + l. Calculate the common denominator of -31/5 and t.
20
Let p = -13209/724 - 1/181. Let q = 317/12 + p. Let u = 1/57 - 305/57. What is the common denominator of u and q?
6
Let s(u) = -142*u + 1500. What is the least common multiple of s(8) and 20?
1820
Let j = 29472 - 29267. What is the lowest common multiple of 656 and j?
3280
Let r = -62 - -80. Calcul