o = 3/509 - -77/73296. Let h = 19634639/160 + -122716. What is the common denominator of h and o?
1440
Let s be 210/(-40) + 10 - (-1)/4. Suppose -s*h + 546 = 186. What is the lowest common multiple of 117 and h?
936
Let d(s) = -s**3 + 12*s**2 + 112*s + 40. Calculate the smallest common multiple of d(-6) and 13942.
111536
Let u(i) = -3*i**3 + i**2. Let v be u(1). What is the lowest common multiple of -56*(3 + 7/v) and (5 + 6 - -1)/(2 - 0)?
84
Let v = -14 - -18. Suppose -v*r - 23 = -15. Calculate the lowest common multiple of (8/(-6))/(r*(-1)/(-45)) and 18.
90
Let t be 5/(-2) + -8*7/(-112). Let i be (-66)/99*(t + -1). Calculate the common denominator of -55/14 and (-6)/i*-1 - (-141)/30.
70
Calculate the common denominator of (-5 + 821/165)/(-2 + 543/240) and 97/2310.
6930
Let g be 2/9 - 304/36*-4. Suppose -133 = -11*a - g. Suppose 4*t - u = 6, 7 = -3*t + 5*u + 3. What is the lowest common multiple of t and a?
18
Find the common denominator of (666/900*-1)/((-112)/60) and 121/700.
1400
Let j = 48131/15 + -3205. Let q = -58379/15330 + -1/730. Calculate the common denominator of q and j.
105
Let z(t) = 20*t**2 - t - 1. Let c be z(-1). What is the least common multiple of c + ((-44)/33)/((-1)/3) and 27?
216
Let c = 54518514 - 35109910375/644. Let y = 1059/46 - c. Calculate the common denominator of 1/12 and y.
84
Let r = 28319/4113 - -5/1371. Let m be (-3 + 6)*194/(-3). What is the common denominator of 1/(-1) - -2*m/(-16) and r?
36
Let k(q) = -10*q - 64. Suppose 18*s - 29*s - 143 = 0. What is the lowest common multiple of 1 and k(s)?
66
Let l = -99191/12 - -8270. What is the common denominator of l and -29/1228?
3684
Suppose 0 = 5*w - 3*w - 6*z - 2, z = 0. Let k(r) = 2*r**2 - 25*r + 3. What is the smallest common multiple of w and k(13)?
16
Let v = -456/67619 + 557645287/98994216. Let p = -2/122649 + -6254855/14963178. Let c = p + v. What is the common denominator of 137/24 and c?
24
Let y(s) = -3*s**2 - 31*s + 40. Let d be 2 - (0 + 23 + -1) - 0. Let r be y(d). What is the common denominator of -77/12 and (-6)/(r/305) - -5?
36
Let f = -371 + 365. What is the lowest common multiple of f/27 + 1491/27 + 5 and 6?
60
Let r = 26/27 - 6451/6615. Let q = -5671/2940 - r. Find the common denominator of q and -95/12.
12
Suppose -14*p = -9*p - 2*r + 4, -2*p - 3 = -r. Calculate the least common multiple of 7322 and p.
7322
Let g = -110 - -94. Find the common denominator of g/(-104)*(-180)/32 and 111/22.
572
Suppose -89 = -2*o - 73. Suppose 50 = o*d - 3*d. Let q(h) = h**3 - 11*h**2 + 9*h + 15. Calculate the lowest common multiple of 9 and q(d).
45
Suppose -3*g + p + 73 = -49, -2*p = g - 36. Suppose 176*n = 1466*n - 30960. Calculate the least common multiple of g and n.
120
Let f = -68 - -78. Suppose -4*d - f = d. Calculate the common denominator of -49/2 and ((-2)/(-10)*-1)/(d/(-66)).
10
Let o(b) = -17*b**2 - 18*b - 30. Let n be o(-19). Let c = 34871/6 + n. What is the common denominator of -125/54 and c?
54
Let w = 59071/1073810 + -23/1286. What is the common denominator of w and 47/1503?
7515
Let z = 3131/40 + -88951/1140. What is the common denominator of z and -17/168?
3192
Let b be (-6 - -1) + (-310)/20. Let s = -43 - b. What is the common denominator of s and 0 - 1 - 298/(-24)?
12
Let b(m) = 5*m - 12*m - 18 + 9*m. Let a be b(7). What is the lowest common multiple of (a/(-1))/(1*3/18) and 16?
48
Suppose 28 = -3*j + 4. Let l(d) = d**2 + 7*d + 22. What is the smallest common multiple of l(j) and 36?
180
Suppose 4*w = 8*z - 4*z - 472, -3*z + 358 = -2*w. Let v = z + -119. What is the smallest common multiple of v and (-76)/(-6) + 4/12?
39
Let p be (24/9)/((-12)/(-2250)). Let q = 514 - p. Calculate the smallest common multiple of q and 77.
154
Find the common denominator of -33/860 and (42735/(-30))/37*2/8.
1720
Let n = -191/69 + -3/46. Suppose 3*d = 3*j + 135, -4*j + d = 158 + 13. What is the common denominator of (18/j)/(120/(-924)) and n?
30
What is the common denominator of 19/24 and 7*(-1)/(65352/147)?
9336
Suppose 816*m - 312 = 803*m. What is the lowest common multiple of m and 590?
7080
Let f be 2*1 + (-18)/(-21)*7. Suppose f*i - 48 - 128 = 0. Calculate the smallest common multiple of 20 and i.
220
Let x(a) = -18*a + 3*a**2 - 37 - 3*a**2 - a**2 - 45 - a. Calculate the lowest common multiple of x(-9) and 290.
1160
Find the common denominator of 25757/7740 - ((-22)/18 - -1) and 91/2812.
14060
Suppose 16 = -4*k, 5*j - 2430 = -24*k + 19*k. What is the lowest common multiple of 588 and j?
2940
Find the common denominator of 230/105 + (-231)/198 and 67/308.
924
Let b = 513316 - 513281. Let w(a) = a**3 - 5*a**2 - 2*a - 7. Let d be w(6). Let i = d + -8. What is the lowest common multiple of i and b?
315
Let h be (-36)/(-48)*(20/(-1014))/5. Let q = 22987/1014 + h. Calculate the common denominator of -22/349 and q.
1047
Suppose -60*d - 34200 = -90*d. What is the least common multiple of d and 12?
1140
Let m(u) = -u**2 + 15*u + 37. Let o be m(17). Suppose 10*q = 23 - o. What is the smallest common multiple of 102 and q?
102
Let g be (-9*4)/(-2) - 0/1. Find the common denominator of ((-1)/(-4))/(30/(-102)) and (-12*9/g)/(88/(-18)).
220
Let x(i) = 5*i - 113. Let l be x(17). What is the least common multiple of (-8)/l - 225/(-21) and 1 + -1 + (1 - -1)?
22
Let f(c) be the second derivative of 0 - 1/4*c**4 - 1/6*c**3 - 4*c**2 + 1/20*c**5 - 9*c. What is the least common multiple of f(4) and 18?
36
Let j = 4391/7 - 26429/42. Calculate the common denominator of -31/213 and j.
2982
Let h = 4484/105 - 300/7. Let y = 214/105 - h. Let l = 15215 - 273967/18. Calculate the common denominator of y and l.
126
Find the common denominator of (-16)/((-48)/9) - (-1196)/1104 and (-10)/(-4)*(-44)/(-234).
468
Find the common denominator of -17/2576 and 131/((-3)/(33/(-220)*(-20)/(-144))).
23184
Let c = 7 + -691. Calculate the smallest common multiple of 33 and c/(-21) - 15/(-35).
33
Let v(a) = 14*a + 99. Let r be v(-6). Suppose 3*k + r - 99 = 3*u, 0 = -2*k + 5*u + 44. Calculate the smallest common multiple of k and 28.
224
Calculate the common denominator of -109/1476 and 2198/120*(4 + 54/(-14)).
7380
Let g = 16859 + -16843. Let m = 29 + -13. What is the smallest common multiple of m and g?
16
Let c = -1/9179 + 945481/403876. Suppose -2*u + 5*i = 3*u - 10, -6 = -5*u + 4*i. Find the common denominator of c and ((-235)/(-40))/(-1) + u.
88
Let c = -9150168 + 74665370687/8160. Calculate the common denominator of c and 83/5712.
57120
Let b(d) = 3*d + 18. Suppose 0 = -g + 3*x + 129, -4*x + 188 = -10*g + 12*g. What is the smallest common multiple of g and b(6)?
108
Let b = 3571275 - 7713954133/2160. What is the common denominator of b and -11/54?
2160
Let q be (10 + -13)*176/(-3). Find the common denominator of 3/6*992/q and 17/24.
264
What is the common denominator of ((-6)/(-32))/((-7326)/5544) and 51/1369?
5476
Let o be ((-4)/(-6))/((-1)/(-18)). Suppose 9*k = 12*k - o. Suppose -p - 59 = -5*r, -k*r = -2*p + 6*p - 52. Calculate the lowest common multiple of r and 34.
204
Let w(c) = 415*c - 815. What is the smallest common multiple of w(2) and 1665?
1665
Let g = 52 + -9. Suppose -5*f + g = -52. Suppose -17 = -4*x + f. Calculate the smallest common multiple of x and 33.
99
Find the common denominator of (-73 - (-20351)/282)*1/((-140)/498) and (0 - -1) + (-25)/16.
112
Suppose 557 - 77 = 32*z. Calculate the lowest common multiple of z and 21.
105
Let w be -19*(-5)/15 - (-4)/(-12). Suppose -5*q + w*q + 3*k = 17, 5*q = -2*k + 98. What is the lowest common multiple of 48 and q?
240
Let j = 1665 - 1557. Calculate the smallest common multiple of j and 36.
108
Let i = -22 + 37. What is the lowest common multiple of (312/36)/1 - (-4)/(-6) and ((-10)/i)/((-1)/39)?
104
Let j be (4 - (2/(-1))/2) + -10. Let h(m) = m - 1. What is the lowest common multiple of 2 + (1050/(-5))/j and h(3)?
44
Let p(c) = c**2 - 6*c - 1. Let l be p(7). Suppose -l*s = -s - 15. Suppose 10 = -2*t, -17 + 33 = -q - 5*t. What is the smallest common multiple of q and s?
9
Let o = -2270/51 + 2519717/56610. What is the common denominator of -61/666 and o?
3330
Suppose -4*a + 12 + 140 = 0. Suppose -154*u - 26 + 417 + 2997 = 0. Calculate the least common multiple of u and a.
418
Let s(i) = i**3 + 4*i + 3. Let r be s(-1). Calculate the le