) and -137/210.
630
Suppose -r + 4*w + 80 = 0, -2*r + 45 = -r + 3*w. Calculate the common denominator of (1065/(-480))/(1/2) and 98/r*(-10)/4.
48
Let o be 6/(-10) - -43*3040/(-50). Find the common denominator of (o/300 - -5) + 4 and -123/70.
420
Let y = -251438/158535 + 440/271. Let w = -23858/385515 + y. Let l = 22681/15816 - w. Calculate the common denominator of l and 22/51.
408
Find the common denominator of 3/((-693)/(-211)) + (77/(-11))/7 and -62/561.
3927
Let d = -305 - -307. Suppose 4*r + 3*o = 47, -2*r + 2*o = -0*r - 34. What is the lowest common multiple of (21/r)/((-2)/(-4)) and d?
6
Let b(d) = d**3 - 10*d**2 - 42*d + 258. Calculate the least common multiple of 2440 and b(12).
51240
Suppose 18 = 3*f - 9. Let a = -146 + 251. Let x = 113 - a. Calculate the lowest common multiple of x and f.
72
Suppose 1914 = 3*b + r, 39*r - 43*r - 1248 = -2*b. Calculate the least common multiple of b and 1696.
5088
Suppose 5*w = -4*n + 31, 10*n + 23 = 3*w + 8*n. What is the least common multiple of 125 and w?
875
Let v = -109 + 114. Suppose 5*x + 1 = -4*q, 4*x - v*x + 3 = 4*q. What is the lowest common multiple of q and 142?
142
Let x(f) = -48*f**3 + 2*f**2 + 66*f + 64. Calculate the least common multiple of x(-1) and 312.
624
Let u be -7 + 55319/55 - (-1)/5. Let j = -964 + u. Calculate the smallest common multiple of 7 and j.
35
Let f = -3484204 - -41779015/12. Let l = f - -2621. Let b = 42503/8 - 42763/8. What is the common denominator of b and l?
12
Calculate the common denominator of 41/2176 and -6*4/384*471/459.
19584
Let r = 32981 + -2836333/86. Calculate the common denominator of r and 21/2.
86
Find the common denominator of 3/(-7) - (10 - 2765/(-294)) and 61/1376.
4128
Let c = 1572/11 + -142349/990. What is the common denominator of c and -109/90?
90
Suppose 158*s = 175*s - 1122. Suppose 4*y + 4*k = 32, 5*y - 4*k - 1 - s = 0. What is the lowest common multiple of y and 44?
44
Let d(u) = -13*u**2 - 205*u + 762. Let i(m) = -m**3 + 4*m**2 + 2*m + 2. Calculate the lowest common multiple of d(3) and i(4).
30
What is the least common multiple of 0 + -1 + 7 + 137 and 44?
572
Let o(g) = -g**3 - 5*g**2 + 8*g + 2. Let n be o(-9). What is the common denominator of (-3 + (-70)/(-20))/((-36)/n) and -115/18?
36
Suppose -22*q + 34*q + 18792 = 0. Let i = -9371/6 - q. Calculate the common denominator of i and 59/12.
12
Let q = 198244 - 143726864/725. What is the common denominator of 31/4 and q?
2900
Let t = -2804 - -3028. What is the smallest common multiple of 98 and t?
1568
Let s = 53173 - 89124. Let a = s - -1078697/30. Find the common denominator of -11/30 and a.
30
Let p = 80/55077 + -1907421817/110154. Let o = 17313 + p. What is the common denominator of (-29)/(-957)*(-11)/(-4) and o?
132
Let g be 2 - 2/32946668040*71580225007. Let x = 10/3940989 + g. Let f = x + -1/209. Calculate the common denominator of f and -73/10.
20
What is the lowest common multiple of -5 - 10/(-2*(-4)/(-64)) and 20*(-1)/3*(-18)/4?
150
Let f(y) = -y**2 - y + 6. Suppose -123*k + 128*k + z - 206 = 0, -z = 4*k - 166. What is the smallest common multiple of f(0) and k?
120
Let n(m) = -10*m**3 - 9*m**2 + 7*m + 7. Let c be n(-4). Suppose -c = -21*b + 2*b. Calculate the smallest common multiple of 75 and b.
75
Let u be (7*(-13)/273)/((-2)/30). Let i(m) = 2*m**3 - 6*m**2 - m - 11. Calculate the smallest common multiple of i(u) and 24.
168
Suppose 0 = 5*c - 2*h - 9274, 3775 + 1783 = 3*c + 2*h. What is the least common multiple of c and 72?
7416
Suppose -7*z + 5*z = -4. Suppose b + 2*b - 12 = -3*u, z*u = -4*b + 6. Calculate the smallest common multiple of 27 and 0 - -3 - (b + 1*-26).
270
Let t = 42 + -34. Suppose -2*n = -t*n - 42. Calculate the common denominator of n/(13/((-429)/(-36))) and -35/74.
444
Let r = 28904553/322 - 89766. Find the common denominator of -11/460 and r.
3220
Let z = -6616647/23930 - -1/11965. Let c = -4463/16 - z. Let s = 4802 + -105621/22. What is the common denominator of s and c?
176
Calculate the lowest common multiple of 1060 and (-76)/190 + 1 + (-274)/(-10).
7420
Let p(b) be the third derivative of 0*b - 10/3*b**3 + 7/6*b**4 + 0 - 1/30*b**5 - 7*b**2. Calculate the least common multiple of p(13) and 12.
12
Let z(s) = 8*s**2 + 7*s - 18. Let g be z(3). Calculate the common denominator of -1/39 and (309/(-315))/((-60)/g).
1092
Let l(t) = 4*t - 1 + 3*t**2 + 1 + 2 + 0*t. Suppose 0 = 5*d + 25, -4*o + d = -3*d - 60. Calculate the least common multiple of o and l(-2).
30
Let m = 1132391/720 - 25175/16. Find the common denominator of m and 79/36.
180
Let g = -148915 - -13104695/88. Let t be ((-346)/(-11))/(2 + -6). Let b = t + g. Find the common denominator of -13/10 and b.
40
Let t = 5650 + -90449/16. Find the common denominator of t and 87/74.
592
What is the common denominator of 73/75 and 2526/1170 + (189/70)/(-9)?
1950
Suppose 0 = -3*m - 9, 392 = 4*h + m - 269. What is the common denominator of 55/2 and (1/(-5))/(30/h)?
150
Let w = 631 - 10111/16. Let x be ((-42)/(-112))/((-9)/1580). Let f = -1001/15 - x. Find the common denominator of w and f.
80
Let z(u) = u**3 - 39*u**2 - 76*u - 180. What is the lowest common multiple of z(41) and 72?
792
Suppose 2*r + 3*l = -2*r + 3932, 4*l + 16 = 0. Let u = -3979/4 + r. What is the common denominator of u and -59/32?
32
Let x be 8/(-52) - (-160)/26. Suppose 8 = x*a - 2*a. Suppose -34 = -6*u + 2*u - 5*y, a*u - 2*y - 8 = 0. What is the least common multiple of u and 4?
12
Calculate the least common multiple of 704 and (-288)/(-27)*(-6 - -18*3).
5632
Let r(p) = p**3 - 3*p**2 + 4. Suppose 5*x = -10, 3*a - 2*x = 4*a. Calculate the smallest common multiple of 1 and r(a).
20
Let k = -252133/21712884 + -9/20918. What is the common denominator of -109/20 and k?
10380
Let k = -9517 + 10385. What is the lowest common multiple of k and 48?
10416
Suppose -3*v = h - 2415, -4*h - 187 = -v + 592. What is the lowest common multiple of v and 146?
1606
Let v = 624 - 417. What is the lowest common multiple of v and 23?
207
Let c = 885 + -875. What is the lowest common multiple of 1*(c + (-1 - 0)) and 240?
720
Let z = -3/338875 + -30823399/1606945250. What is the common denominator of -17/6 and z?
14226
Let n(i) = -52*i**2 + 679*i - 33. What is the lowest common multiple of 698 and n(13)?
2094
Suppose 3*c - 3*z - 2*z + 106 = 0, 0 = -5*z + 10. What is the common denominator of (-4)/14 - 2102/(-252) and 9/((-72)/c) + (-51)/12?
36
Suppose u = 5*i - 0*u + 15657320, 0 = 4*i - u + 12525856. Let x = -50050971/16 - i. Let j = x + -3277. What is the common denominator of j and -91/2?
16
What is the lowest common multiple of 336/15 + (-2)/5 and 1350/405*(-6)/(-5)?
44
Let g = 22939346086/155085 + -443744/3. Let f = 128208/113729 - g. What is the common denominator of f and 99/40?
440
Let q(m) = 33*m + 141. Let c be q(-17). Calculate the common denominator of -69/40 and (413/c - (-1)/(-3)) + -1.
120
Calculate the common denominator of (-29)/140 + (-31)/(-186) and -101/40.
840
Suppose 0 = -n + h + 117, 85*h = 80*h + 25. Suppose -5*o + d = -1650, 0 = 3*o - 3*d + 7*d - 990. Find the common denominator of -87/20 and n/(-240) - (-44)/o.
40
Let s = 7672/9 - 847. What is the common denominator of s and 41/867?
2601
Let j = -38671/26760 - -142/223. Find the common denominator of j and 8/105.
840
Suppose -2*r + 5*v + 1432 = 0, -5*v = 4*r - 971 - 1833. Let z = 707 - r. Calculate the lowest common multiple of 116 and z.
116
Let a = 79 - 72. Suppose -a*r - 8 = -36. Calculate the common denominator of -127/12 and (196/32)/((-5)/r - 0).
60
What is the lowest common multiple of 18 and (-26 - -14)*11/((-198)/10740)?
64440
Suppose -42*s = -4*o - 47*s + 188, -4 = -s. Calculate the least common multiple of 636 and o.
4452
Let m be (-3)/2 + (-360)/(-48). Suppose m*o = -3*o + 270. What is the lowest common multiple of (66/(-10))/((-12)/60) and o?
330
Let z be (-21)/(-6314)*32/(-12). Let c = 7763/10824 + z. Find the common denominator of 181/60 and c.
120
Let d(r) = r**3 + 2*r**2 - 11*r - 5. Let a be d(-4). Suppose -a*p - 32 = -11*p. Calculate the lowest common multiple of 1 and p.
8
Let n be (1/3*-2)/(18/189). Calculate the least common multiple of 110 and (-90)/(n/((-21)/(-3))).
990
Let f = -697796 - -192589037/276. Let t = f + 5/23. What is the common denominator of 37/2