 the smallest common multiple of o and (7 + (-60)/9)*18?
30
Let z = 1/1772 - -29231/12404. What is the common denominator of z and 71/72?
504
Let r = 129671/30786 + 5/2199. Find the common denominator of -109/14 and r.
14
Let p = 47585/9 - 5281. What is the common denominator of p and (38/20)/((-126)/225)?
252
Let f be (306/(-27) + 12)*18/4. Suppose -f = w + 3*q, 6 - 5 = -w - 2*q. Calculate the smallest common multiple of 24 and w.
24
Suppose 2*d + 4*o + 224 = 648, -3*d - o + 626 = 0. What is the least common multiple of 88 and d?
2288
Let l be (24/(-340))/(1/5). Let k = l - -43/170. Let r = 63617/90 - 3504/5. Find the common denominator of r and k.
90
Suppose -120 = 3*k - 4*k - 5*j, -j = 4*k - 385. Let f(p) = -p**3 + 188*p**2 + 578*p + 23. What is the smallest common multiple of k and f(-3)?
760
Suppose 2*u = -2*y + 573 + 35, 3*y = -4*u + 916. Calculate the smallest common multiple of 78 and y.
3900
Let x = -347819/24 - -14489. Calculate the common denominator of x and -75/136.
408
Let g = 229 + -224. What is the common denominator of -53/16 and 555/4*g/350?
112
Let t be ((-88)/(-55) - 2)/((-2)/620). What is the common denominator of (-3)/t*2/(-12)*206 and (-18)/9 + 143/14?
868
Let r = 15 - 19. Let j be (-2 + 24)/(r/8 - -1). What is the common denominator of 8/99*11/(j/(-24)) and 11/12?
132
Suppose 43*y = 1186 + 942 + 452. What is the smallest common multiple of y and 177?
3540
Let d = -8/5905 + 32369/7086. Calculate the common denominator of d and 1 + 1 + 3 + (-134)/(-20).
30
Let s(y) = -y**3 + 40*y**2 - 5*y + 14. Calculate the smallest common multiple of s(39) and 36.
12060
Let a = -17509 - -18157. Calculate the lowest common multiple of 48 and a.
1296
Let q be (112/(-32))/(1/(-3627)). Let s = q - 12986. Let a = 325 + s. Calculate the common denominator of 7/10 and a.
10
Let p = -1810 - -2332. What is the smallest common multiple of 464 and p?
4176
Suppose 8098 - 8320 = -37*i. What is the lowest common multiple of i and 709?
4254
Let d = -28 + -263. Let m = -283 - d. What is the lowest common multiple of m and 7?
56
Let u = -215 - -347. Suppose 292*c - 304*c = -u. Calculate the smallest common multiple of c and (1 + 1)*(-22)/(-4).
11
Let s = 3020294989/15184 - 198913. Let n = -3973/4745 + s. Calculate the common denominator of 5/12 and n.
240
Calculate the common denominator of -28/143 and 2940/2100 - (-1766)/(-1540).
2002
Suppose -3*h - 15 - 17 = -5*q, 5*h + 4 = -4*q. Suppose -l - 20 = n, -5*l + q*n = 106 + 30. Let k = -14 - l. What is the lowest common multiple of k and 19?
190
Let i(y) = -2*y**3 + 15*y**2 - y - 6. Let n be i(7). Calculate the common denominator of (2/(-2))/((-39)/35) and ((-124)/10)/(n/45).
78
Let j be (-4 + 0)/(1/1). Find the common denominator of (-375)/4180 - j/22 and 10/(-4)*-2 - (-107)/(-22).
836
Let t = -73567/58141 + 5613717827/755251590. Let d = -2/2165 + t. Let s = -9313/1695 + 86/113. Calculate the common denominator of s and d.
30
Find the common denominator of -41/63 and ((-3)/(-180)*834)/((-126)/15).
252
Let j = -11539 + 12035. What is the smallest common multiple of 28 and j?
3472
Let m = 12/12847 - -34622557/115623. Let v = 58543/198 - m. What is the common denominator of -43/266 and v?
2926
What is the common denominator of ((-14)/(-70))/(432/806) + (-1)/3 and -53/33?
11880
Let s(w) = 2*w**2 + 14*w - 31. Let h be -3*9*(-30)/(-90). Calculate the least common multiple of 30 and s(h).
30
Suppose 6*n + 38 = 158. Suppose -3*g + 143 = -130. Let j = g + -59. Calculate the smallest common multiple of j and n.
160
Suppose 78 = -57*p + 3743 + 97. Calculate the lowest common multiple of p and 9.
198
Let w = 13745363/135 - 101817. Let c = 121977 - 1219869/10. Calculate the common denominator of c and w.
270
Let q = 1 - -3. Let r = -38795/922 - 1578/461. Find the common denominator of q/6 + (-124)/18 and r.
18
Let r = 3353 + -26767/8. Find the common denominator of r and 12/20 - 2*(-2289)/(-4480).
64
Let i = -995 - -1219. What is the least common multiple of 608 and i?
4256
Suppose -3*z - 4*t = 10604, -4*z + 2*z = -3*t + 7041. Let y = 63365/18 + z. Find the common denominator of 87/8 and y.
72
Let r = -44099993061/6516922208 - 3/18461536. Let z = r - -6/353. Calculate the common denominator of 321/(-20) - 25/125 and z.
4
Let c = 221 - 294. Let l = 115 + c. Calculate the least common multiple of 54 and l.
378
Let x = -535/338 + 367233/236600. What is the common denominator of -43/260 and x?
18200
Suppose 0 = -12*o + 5*o + 28. Calculate the smallest common multiple of 26 and (-28)/o - (5 - 90).
78
Suppose 3*m + m - 8 = 0. Suppose 383 = 49*k - 15*k - 195. Calculate the smallest common multiple of k and m.
34
Let u = -18/6091 - -11355/10025786. Let p = u - -107017/14814. Let c = -6813 - -122729/18. Find the common denominator of p and c.
18
Let k(i) = i**3 + 10*i**2 - 12*i - 9. Let x be k(-11). Suppose 0 = 7*p - 3*p - v - 61, p = -x*v + 4. Calculate the least common multiple of p and 10.
70
Calculate the common denominator of -60/329 and (-24)/940 - ((-255)/15 + 17).
1645
Let o = -253 - -293. Suppose -32 = -7*p + 5*p. Calculate the smallest common multiple of p and o.
80
Let g = 3769/8 - 465. Find the common denominator of (-10 - 2232/(-217) - 508/(-525))*(-6)/4 and g.
200
Suppose 0 = 3*m + 8 - 35. Suppose 4*b + 2*w = 3 - 1, w = 4*b - 17. Suppose 0 = -3*x - 8 - 1, 0 = -b*z + 2*x + 9. Calculate the least common multiple of m and z.
9
Let s = 1413 - 1077. What is the lowest common multiple of s and 840?
1680
Suppose 40*h = -2*h + 504. Suppose 14 = -j + 56. What is the smallest common multiple of h and j?
84
Let g = 2417/20 - 42317/350. What is the common denominator of g and 131/1890?
18900
Let m = 957 + 1203. Suppose m = -44*b + 68*b. Calculate the smallest common multiple of b and 111.
3330
Let s = -956195/3 - -318749. Calculate the common denominator of s and (-181)/(-410) + 4/10.
246
Suppose 5*q - g = 22, -2*q - 5*g = -g. Suppose -n - a = -16, 0 = -n + q*n - 2*a - 48. What is the lowest common multiple of 2 and n?
16
Let s(v) = 33*v**2 + 13*v + 2. Let m be s(-2). Calculate the common denominator of (104/(-10))/(5 - m/15) and (-4)/6 - (-172)/6.
11
Let k be (-1)/(1/(-4)) - (-68)/2. Suppose 3*p = -2*x + 18, k*x = 34*x + 3*p + 72. What is the least common multiple of 84 and x?
420
Let u(d) = -d**3 + d**2 + d + 1. Let w(l) = 5*l**3 - 16*l**2 - 17*l - 36. Let b(z) = -4*u(z) - w(z). Calculate the least common multiple of b(13) and 56.
224
Let p = 19 + -10. Let a = 199 + -197. Suppose 8*u = 26 - a. What is the smallest common multiple of p and u?
9
What is the common denominator of 83/3876 and (18/8208)/(2 - 4869/2466)?
27132
Let t = 337 - 331. Suppose -16 = -0*d + d. What is the lowest common multiple of t and (d/1)/(-20 + 18)?
24
Calculate the common denominator of (243/(-36) - 21)/18 and 101/870.
3480
Find the common denominator of (-26)/((-66)/44*(1328/12 + 0)) and -7/15.
1245
Let t(j) = j**3 + 33*j**2 + 19*j + 39. Let n be t(-32). Let a = -433 + n. Calculate the smallest common multiple of a and 34.
374
Let f = -4010 + 4075. Calculate the least common multiple of f and 420.
5460
Let n = 2/1843 + -97687/7372. Let f = 208 + -205. Suppose -9*z - f*z = -396. What is the common denominator of z and n?
4
Suppose -4*f - 22 = -34. Suppose h = -v + 8, 4*h - f*v = v + 24. Suppose 3*r - 18 = -2*j, -4*r = j - 0*r - 9. Calculate the smallest common multiple of h and j.
63
Let d(w) = w**3 - 5*w**2 - 3*w + 6. Let z = -817 - -1001. Suppose 46*y + 46 - z = 0. What is the smallest common multiple of d(6) and y?
24
What is the common denominator of ((-1575)/(-135))/((-16)/(-3)) and -93/184?
368
Let r be -13 + -423 - (0 + (3 - 3)). Calculate the common denominator of 89/116 and ((-165)/2200)/(6/r).
580
Let b = 84 + -41. Let r = 54 - b. Calculate the smallest common multiple of 14 and r.
154
Suppose -2*q = -x, 0 = 3*x + x - 4*q. Suppose 0*w + 3*w - 2*y - 38 = 0, -5*w - y + 85 = x. Calculate the least common multiple of 28 and w.
112
Let s = 41 - 37. Suppose s*n = 10 + 6. Suppose -n*z + 3*k = -6*z + 37, 0 = z + 5*k - 15. Calculate the lowest common multiple of 2 and z.
20
Let o be (-2*1/(-4))/(9/(-54)). Let w = 11 - -5. What is the least common multiple of 10 + (-2)/(o + 2) and w?
48
Let p be 1572/(-28)*14/(-380). Let f = p + 69/19. Find t