2
Suppose -12 - 15 = -9*a. Suppose -5*m - 23 = q, -a*m - 17 = q - 2*q. Calculate the lowest common multiple of q and 5.
10
Suppose 6*g + 21921 = 21981. What is the smallest common multiple of g and 10468?
52340
Suppose -9*v - 4*v - 13*v + 104 = 0. Calculate the smallest common multiple of v and 752.
752
Find the common denominator of (11348/(-756) + 15)*(-3 + 512/12) and ((-147)/648)/(2/6).
648
Suppose k + k + 14 = 0. Find the common denominator of k + 2 + 2 - (-292)/(-120) and 113/6.
30
Let n = -166 - -138. Find the common denominator of 2 + -8 + n/(-12) and (-8)/12*(-339)/20.
30
Let d = 188722 - 188718. Suppose -i = -0*i - 283. Calculate the least common multiple of d and i.
1132
Let a = 35295 - 34207. What is the smallest common multiple of a and 21?
22848
Let p = -2394 + 1590. Let d = p - -819. What is the smallest common multiple of d and 120?
120
Let k = -5923 - -65203/11. Suppose 5*v + 4*i + 15 = -i, 5*i - 5 = -v. What is the common denominator of k and ((-1)/v)/((-51)/(-850))?
33
Let h = -116458/1437495 + 1/6117. What is the common denominator of h and 125/6?
1410
Suppose 3*x + x - 40 = 0. Let k(w) = -8*w**3 + 3*w**2 + 12*w - 1. Let l be k(4). Let z = -416 - l. What is the lowest common multiple of z and x?
10
Suppose 8*g - 2*g - 72 = 0. Let v be -15 + g - (-25453 - 1). Let x = v - 508909/20. Calculate the common denominator of -99/8 and x.
40
Suppose 0 = -40*a + 3470 + 2290. Let k = a - 126. What is the smallest common multiple of 160 and k?
1440
What is the common denominator of -1/1188 and (-38)/(-6) + -6 + ((-515)/(-270))/(-1)?
1188
Let r(f) = 2*f**3 + 12*f**2 + 5*f - 4. Let p be r(-5). Let o be (2/(-4))/1 + p/14. What is the common denominator of -47/12 and o/7*165/(-30)?
84
Let l(y) = 214*y - 1268. Calculate the smallest common multiple of (33/44)/(1/4) and l(6).
48
Let t(q) = q**3 + 16*q**2 + 14*q - 20. Let v be t(-15). Suppose -207 - 762 = 17*h. Calculate the common denominator of -73/18 and (v - -1)*h/36.
18
Let g = 841 - -233. Calculate the lowest common multiple of g and 21.
7518
Suppose -2*i = 2*x - 64 - 38, 0 = 5*i + 2*x - 261. What is the smallest common multiple of 112 and i?
5936
Let f(z) = -z**2 + 7*z. Let y be f(6). Find the common denominator of -93*(-3)/(-243) + y/(-27) and -65/108.
108
Calculate the common denominator of 75/482 and 12/28 - (-2403)/1008.
3856
Suppose -123 = -3*p + 3*d, -d = -4*p + 118 + 52. What is the lowest common multiple of 1376 and p?
1376
Find the common denominator of (-135)/(-3645) + (-233)/2484 and -89/6.
828
Let l(f) = -4*f**3 + f + 1. Suppose 31 - 7 = 3*o. Suppose 6 = o*z + 14. What is the least common multiple of 14 and l(z)?
28
Let i(q) = 15*q**2 + 30*q - 6. Let f be i(3). Suppose f = -13*x + 310. Calculate the smallest common multiple of 13 and x.
91
Let u be (-184167)/(-9) - (-6)/(-2). Suppose 3*q + 6810 + u = 0. Let j = -400033/44 - q. Find the common denominator of -81/20 and j.
220
Let b = 8751/10 - 877. Suppose -1 - 19 = -4*g. Find the common denominator of 18/(-28)*(g - 2) and b.
70
Calculate the smallest common multiple of (6*1)/(33 + 34440/(-1044)) and 870.
2610
Calculate the common denominator of 426/(-8)*(-349)/(-5235) and (2 - 47/(-160)) + -3.
160
Let j = 43 - 10. Let p = 18308 - 18297. Calculate the smallest common multiple of p and j.
33
Let p = 1949737/1586256 + 3/132188. Let c = -1341/4 + 10051/30. Find the common denominator of p and c.
240
Let d = 204310222641469/12660 + -16138248222. Let m = 7/1055 - d. Let z = -211/49 + -327/98. What is the common denominator of z and m?
84
Let x be (-4950)/(-726) - (-4)/22. What is the common denominator of 59/700 and (4824/112 - x)*1/5?
700
Let q(z) = -z**2 - 13*z - 2. Let f(r) = r**3 - 39*r**2 + 145*r - 145. What is the least common multiple of f(35) and q(-11)?
60
Calculate the common denominator of 1/14 and 25/(-1125)*-18 + 1126/(-3200).
11200
Calculate the common denominator of ((-48)/144)/(14/(-87)*2) and 109/120.
840
Find the common denominator of ((-32415)/2520 - -16) + (-1 + 4)/42 and 2/(28/(-109)) - -5.
168
Let d = -1067/38 - 79193/228. Let y = -280485/4 + 69767. Let h = y - d. Calculate the common denominator of -6 and h.
6
Suppose 109 - 144 = -7*f. What is the smallest common multiple of 752 and (-5)/(f/3)*(-112)/42?
752
Let j = -706 + 291. What is the common denominator of (j/105)/(2 + 12/(-9)) and 91/66?
462
Suppose 98*y - 3506 + 543 = 2721. What is the smallest common multiple of y and 1479?
2958
Let l(t) = 2*t**2 - 30*t - 42. Suppose -5*f - 5*o = -o - 99, 2*f - 39 = -o. What is the smallest common multiple of 100 and l(f)?
1100
Let v = 4451/2355 + -56/157. Let n be (2/(-5))/(12/23565). Let j = n - -3896/5. Find the common denominator of j and v.
30
Suppose 2 = -29*j - 56. What is the least common multiple of 7 and (2 - 1) + (j + 1)*-9?
70
Let n = -6205/12 - -3091/6. Find the common denominator of 17/1149 and n.
4596
What is the smallest common multiple of (67/134)/(1/544) and 170?
1360
Let g = -357551/65 - -3518161/5265. Let n = 4833 + g. What is the common denominator of -27/4 and n?
324
Let t = -12036 + 12166. Calculate the least common multiple of t and 290.
3770
Let y = -33 + 54. Suppose -y*a + 600 = -13*a. Let g = a - 64. What is the least common multiple of 11 and g?
11
Find the common denominator of -29/1248 and 44618/4992 - ((-37976)/(-4136) + 4/(-22)).
2496
Let y = -15425 + 246707/16. Let h = -2/189975 + 205199/2469675. Let l = h - -38839/5850. What is the common denominator of l and y?
144
Suppose 214*l + 8988 = 220*l. What is the smallest common multiple of l and 1926?
13482
Let r be 31/(-38)*16 + -1. Let v = -5563/285 - r. What is the common denominator of v and ((-742)/(-14))/(36/(-4))?
45
Suppose -26*l + 2*l + 5*l = -855. Calculate the least common multiple of 46 and l.
2070
Let m = -8757 + 9321. What is the smallest common multiple of m and 3?
564
Let j = -204/169 + -12453/2704. Calculate the common denominator of j and 110/672 + (-32)/(-40)*285/266.
48
What is the common denominator of ((-805)/46 - -17) + (-146)/24 + 0 and 4/6 - (-62)/(-10)?
60
Let n(g) = 15*g**2 - 79*g - 300. What is the smallest common multiple of 14 and n(-4)?
1792
Suppose -19800 = -54*j + 76590. What is the least common multiple of j and 680?
14280
Calculate the common denominator of 169/12960 and (10/(-12))/((-830)/(-165) - 5).
12960
Let z = -287565569/975 - -294939. Calculate the common denominator of -53/195 and z.
975
Let p(i) = 5*i**2 - 27*i - 13. Let h be p(6). Suppose 8*k - 4*k = -2*r + 144, h*k + 2*r - 180 = 0. What is the smallest common multiple of k and 36?
36
Let n be (-7028)/(-52) + (-6)/39. Let s(z) = z + 1. Calculate the smallest common multiple of s(8) and 6/(-5)*n/(-18).
9
Let p = -1391 + 1435. Calculate the least common multiple of p and 384.
4224
Suppose 0 = -a + 20*a + 76. Let w(y) = -4*y**3 - 14*y**2 - 20*y - 13. Calculate the smallest common multiple of 55 and w(a).
495
Let n = 472393/351696 + -1/20688. What is the common denominator of n and -59/21?
714
Let n(i) = -2*i**2 - 21*i - 21. Suppose v = -3*v + 124. Suppose v + 59 = 3*b. Calculate the lowest common multiple of n(-9) and b.
30
Suppose 2*p + 204 = d, -4*p + 432 = 428*d - 426*d. Calculate the smallest common multiple of d and 30.
210
Let z(x) = x**3 + 11*x**2 - 15*x - 24. Let n be z(-12). Find the common denominator of 43 and 63/35 + (-3)/n.
20
Find the common denominator of -23/24 and (-4 + 9/2)*(-9)/2484.
552
Suppose -5*o + 2 = -8. Suppose 0 = -j + o - 1. Suppose -4*x + 51 = 2*l - j, -2*l + 5*x = -79. What is the least common multiple of 20 and l?
160
Calculate the common denominator of 5586/1260*105/(-42) and 2/(-4) + (-285)/126.
84
Let l = 78359/63378 + 34/3521. Find the common denominator of -53/237 and l.
9954
What is the common denominator of 81/50 and (139/(-2919))/(1/(-9)) + 1023/(-1995)?
950
Let v(x) = -x**3 - 131*x**2 + 510*x + 56. What is the least common multiple of 18 and v(-136)?
208584
Let m be 1/(-8) + 30/(-16). Let o = m + -3. What is the least common multiple of 10 and (1 - o) + (4 - 6)?
20
Let o(u) = -2604*u + 164. Let z be o(9). Let b = z - -1815083/78. Calculate the common denominator of b and (-10)/4 + -1 + -1.
78
Let n(j) be the second derivative of 5*j**3/3 + 5*j**2 - 31*j. Let s be n(-5). Calculate the common denominator 