1). Let f = z + -11647/16. Find the common denominator of 97/16 and f.
16
Suppose -3*m + 251 = 41. Suppose 14*g - 19*g = -m. Suppose 2*u = -2 + g. Calculate the smallest common multiple of 10 and u.
30
Suppose c = -4*v + 25 + 6, 2*v - 54 = -4*c. What is the lowest common multiple of (-10)/(-20) - 23/(-2) and c?
132
Find the common denominator of 37/24 and 190/(-112) - 45/(-90).
168
Let d = 48 + 7. Suppose 5*m = -5*s + d, -3*m - 2*s = -7*s + 7. What is the least common multiple of m and 12?
12
Let m = 966 - 910. Calculate the least common multiple of 35 and m.
280
Let k = -387300/7 - -1857351/35. Let n = k - -2252. Calculate the common denominator of n and 67/6.
30
Let x be -2 + -3*(-12)/9. Suppose x*d + d + 2*j - 20 = 0, -j = -4. What is the lowest common multiple of d and 11?
44
Let j = 35111 + -2387365/68. Let p = 1129/408 + j. Find the common denominator of p and -35/33.
264
Let x be (-472)/(-1918) - 18/42. Let t = x + 4883/1233. Calculate the common denominator of t and 83/6.
18
Let v = 3261 + -32537/10. Let s(j) = -2*j - 2. Let q be s(-4). Calculate the common denominator of v and (-267)/(-24) - 9/q.
40
What is the common denominator of 37/(-2) + -3 + -7 + 5 and 71/14?
14
Suppose -9 + 29 = 5*p. What is the smallest common multiple of 43 and p?
172
Suppose -3*u + u = 5*y - 15, u = y + 4. Suppose -u*q = -128 + 13. Let b = 29 - q. What is the smallest common multiple of 1 and b?
6
Suppose -2*u + 9 = -27. Let m(i) = -i**2 - 18*i + 19. Let j be m(-18). Let y = -11 + j. Calculate the lowest common multiple of u and y.
72
Suppose 6*m + 4*m - 160 = 0. What is the least common multiple of 56 and m?
112
Let y(a) = -15592*a**3 + a**2 + 2*a - 1. Let l be y(1). Let h = l + 186929/12. Find the common denominator of h and 43/36.
36
Let v = -80 - -14970/187. Let n = -5597/3740 - v. What is the common denominator of n and -119/20?
20
Let l be 6*(-1)/2*(1 + -2). Suppose l*o - 180 = -3*o. What is the lowest common multiple of 6 and o?
30
Find the common denominator of (-1507)/242 - 2/(-1) and -3 + ((-2292)/576 - 2/(-3)).
176
Let x(b) = 13*b + 11. Let c be ((-77)/(-22))/(2/(-4)). Let q be x(c). What is the lowest common multiple of 8 and 6/2*q/(-12)?
40
Let l(x) = x**3 + 12*x**2 + 30*x + 212. What is the lowest common multiple of l(-11) and 809?
2427
Suppose -i + 3 = 0, w - 2*i - 3 + 9 = 0. What is the least common multiple of w + 2*(19 + 1) and 16?
80
Let z = 1241/791 - -2/791. Find the common denominator of z and -13/348.
2436
Let r(o) = -o**2 - 7*o + 2. Let b be r(-7). Suppose 0*v + 5 = v + b*n, -25 = -5*v - 2*n. Calculate the lowest common multiple of v and 8.
40
What is the smallest common multiple of (624/144)/(2/36) and 30?
390
Let x = 6980 + -230306/33. Calculate the common denominator of x and (-165)/81 - 0/2.
297
Let d = 62/77 - -4727/154. Find the common denominator of 48/1937 and d.
3874
What is the common denominator of (-12)/(-14) - (-15 - 375955/(-23919)) and -43/5?
1005
Let h = -3987158/157 + 25396. What is the common denominator of h and 31/10?
1570
Let o be ((-126)/(-70))/((-2)/10). Let m(b) = -b**3 - 9*b**2 + b + 15. What is the smallest common multiple of 24 and m(o)?
24
Let r = -1169/4 + 294. Suppose 0 = -k - 3*q - 0*q - 30, -k - 20 = -2*q. Calculate the common denominator of k and r.
4
Let j(k) = 3*k + 9. Let q be j(-7). Calculate the common denominator of (-38)/14 - 129/43 and 326/q + 1/(-3).
14
Let y = -2521 + -3209. Let n = y - -3759. Let a = -13822/7 - n. Find the common denominator of 81/10 and a.
70
Suppose 6*i + 18 = 9*i. What is the least common multiple of 990 and i?
990
What is the common denominator of (((-1)/(-6))/1)/((-15)/(-745)) and 101/2066?
18594
Let p be 26/(-4) + 1/2. What is the common denominator of 27/(-3*(-44)/p) and 57/(-4)*(-1)/(-2 + 3)?
44
Let g = -180/1547 + 197987/92820. Find the common denominator of 206/(48*33/44) and g.
180
Let k be 3/(-3) + (-1295)/(-1294). Let q = k + -27825/5176. What is the common denominator of q and 97/22?
88
Let b = 20311/8 + -2534. Find the common denominator of 83/20 and b.
40
Suppose x + 3*f = -2*f, 3*f = -x. Suppose -3*n + 2920 + 131 = x. Let r = n - 8203/8. What is the common denominator of r and 71/8?
8
Let w(u) = -u**2 - 6*u + 4. Let h be w(-6). Suppose 2*s = -h*m + s + 37, 0 = m + s - 7. What is the lowest common multiple of m and 36?
180
Let a = -1942 - -104755/54. Calculate the common denominator of 53/60 and a.
540
Let c(k) = -k**3 - k**2 + k - 3. Calculate the lowest common multiple of 55/35 - (-9)/21 - -46 and c(-3).
48
Suppose -5*t + 20 = -6*t. What is the common denominator of (1 - (-21)/t)*83 and -49/4?
20
Let d = 77297/22547 + 1/3221. Let o = -15076587 + 11669276681/774. Let t = 7/86 - o. Calculate the common denominator of d and t.
63
Let p be (354/4)/(62/1196). Suppose 0 = -4*t + 2199 + 4629. Let j = t - p. Calculate the common denominator of -5/4 and j.
124
Suppose -10 = 8*o + 118. Calculate the common denominator of (-2)/(-12)*(-351)/5 and (-10)/o*(-41)/5.
40
Let s = 9323/4 - 2310. Let r(h) = -h**3 - 3*h**2 + 3*h + 1. Let y be r(-5). Find the common denominator of s and -2*195/y + -2.
12
What is the common denominator of (5/36)/(357/(-120) - -3) and -47/8?
72
Let d = 166195/12 + -13841. What is the common denominator of d and 1/(16/(-536)) - 5?
12
Let t be 1 + -3 - (-34984)/17552. Let j = t + 2612017/8776. Let z = -297 + j. Calculate the common denominator of z and -69/16.
16
Let o(u) = 26*u**3 + 3*u**2 - 2. Let t(s) = -2*s**2 - 4*s - 2. Let n be t(-2). Let f be o(n). Calculate the common denominator of 33/16 and ((-6)/45)/((-8)/f).
80
Let v be ((-248547)/(-18))/((-7)/(-3)). Let z = v - 5911. Find the common denominator of 59/184 and z.
1288
Let h = 12457/4 + -3098. Calculate the common denominator of h and -1/16.
16
Calculate the common denominator of -97/80 and -10 + (-4314)/(-420) - 1*-1.
560
Suppose o - 7 = 3*b + 3*o, 2*o + 4 = 0. Find the common denominator of -13/6 and -1 + b/(-3) + 320/108.
54
Calculate the common denominator of (-134)/90 - (-2)/(-6) and -74/21.
315
Let a = -619/3 + 9691/48. Calculate the common denominator of a and 49/(-9 + 16)*13/16.
16
Let h = -536 - -3221/6. Find the common denominator of 62/45 and h.
90
Suppose 0*r = -2*r + 38. Suppose -5 - 31 = -4*t. What is the smallest common multiple of r and t?
171
Suppose -27*s + 32*s - 31500 = 0. Let o = s + -63123/10. What is the common denominator of -41/4 and o?
20
Let a = -10039/2 - -75203/15. Calculate the common denominator of ((-1)/3)/((-3)/(-15)) and a.
30
Let i = -28 + 12. Calculate the common denominator of ((-12)/i)/((-15)/29) and (3/12)/(10/(-138)).
20
Find the common denominator of (13 - 96026/4774) + 14/2 and 43/341.
341
Calculate the lowest common multiple of (1/2)/(1*7/112) and 46.
184
Let a = 2623/11 + -83221/352. Find the common denominator of a and -29/28.
224
Let w = -41248 - -2681218/65. Let t = w - 5527/260. What is the common denominator of t and -97/16?
16
Let l(i) = i**2 - i - 1. Let m be l(-2). Let u be (-2)/4*(-3 + 1). Let d = u + m. What is the smallest common multiple of d and 8?
24
Let c(z) = z**2 + 16*z + 8. Let s be c(-14). Calculate the smallest common multiple of (64/s)/((-1)/5) and 4.
16
Find the common denominator of -31/11 and 48895/(-223740) + 9/4 + -2.
11187
Suppose -1 = z + 3*j + 6, z - 5*j - 33 = 0. Suppose 3*m + m - 40 = 0. Suppose 6 = -l + 2*o, -5*o = -4*l - 2 - m. Calculate the least common multiple of l and z.
8
Let q(n) = -n**2 - 11*n + 12. Calculate the lowest common multiple of q(-9) and 117.
1170
Let x(b) = 3*b**2 + 2*b - 3. Let n(h) = 3*h**2 - h + 1. Let f be n(1). Calculate the smallest common multiple of 6 and x(f).
30
Suppose 2*g + 7 = 3, 3*g - 14 = -4*m. What is the smallest common multiple of m and 5?
5
Calculate the common denominator of (-1332)/(-96)*2/7 and -125/12.
84
Let a be 5/(-2) - (-13)/26. Suppose 2*y - 24 = 18. What is the lowest common multiple of y + (-3 - a - 2) and 14?
126
Let a = -1204 + 1366. What is the smallest common multiple of a and 162?
162
Let o = -39 - -19. What is the common denominator of ((1215/o)/3)/2 and (-109)/(-15) + (-1)/6?
40
Let k(b) = b**3 + 2*b**2 + b + 2. Let f be k(-2). Calculate the common denominator of f - 4/(44/(-49)) and 63/5.
55
Suppose -4*f + 5*b = -58, -2*f + 3*b + 25 = -5. Calculate the 