 k = q + 205. Calculate the least common multiple of 10 and k.
140
Find the common denominator of -127/12 and 49/(-28) - 50/105 - 2/(-7).
84
Let w = 116 - 110. Calculate the lowest common multiple of ((-72)/14)/(4/(-98)) and w.
126
Let c = -4752 - -4756. Calculate the least common multiple of c and 14.
28
Let y = 131/54 + -1601/1350. What is the common denominator of (-234)/90 - (10 + 0) and y?
25
Let r = 34242 + -33346. Calculate the least common multiple of 224 and r.
896
Let b be (-8)/14 - (-1830)/42. Suppose b*l = 42*l + 618. Let t = 6211/10 - l. What is the common denominator of 97/18 and t?
90
Let l be (-1)/(((-64)/88)/(-8)). Let f be ((-4)/(-6))/(2/57). Let z = l + f. What is the smallest common multiple of z and 28?
56
Let t(l) = -l**3 + 6*l**2 + 4*l - 11. Let p be t(6). Suppose -p = 3*u - 1. What is the common denominator of (26/20)/(2/u) and 3/8?
40
Let c = 254/681 - 234103/585660. Find the common denominator of c and 145/516.
2580
Let c be 6339/(-876)*1514 + (16 - 11). Let k = -10951 - c. Calculate the common denominator of k and (-69)/2 - (-2 - -3).
146
Suppose 2218 = 4*v + 3*h, -5*v + 3139 = -5*h + 419. Calculate the lowest common multiple of v and 430.
23650
Suppose -3160 = 4*z - 2*p, 3*z - 6*p + 5*p = -2372. Let s = z - -868. What is the lowest common multiple of 32 and s?
608
Let u = 250 + -217. What is the lowest common multiple of u and 126?
1386
Let c = 2/429603670217 - 24382775362054618377/146065247873780. Suppose -20*a - 1669310 = -30*a. Let b = c + a. Find the common denominator of b and -9/8.
680
Let t = -10/1847 - 17194/917959. What is the common denominator of t and 39/71?
497
Calculate the lowest common multiple of 26 and ((-80)/(-6))/(-5)*(26 - 20)*-1.
208
Let r = -2057/2952 + -10629097/410328. Let c = 14/139 + r. Let n = 259593/25 - 10382. What is the common denominator of c and n?
50
Suppose 29 = 3*u - 16. Let w = 409 + -229. What is the least common multiple of (-11)/(-2)*(u - 11) and w?
1980
Let w = 3173/12 - 264. Let q be (1 - -2 - -2) + 166. Calculate the common denominator of ((-7)/(-28))/((-3)/q) and w.
12
Let q = 848717/101507739 + 3/85229. What is the common denominator of q and -167/270?
107190
Let l be 16951/(-110) + 1 + -4. Let g = l + 19127/120. Calculate the common denominator of -83/42 and g.
168
Suppose q = 5*b, 10*b + 5 = 35. What is the least common multiple of 805 and q?
2415
Calculate the common denominator of 18/324*(-314)/10 - (-4 + 3) and 83/165.
990
Let m = -8237736865394/6799 + 1211610073. Let p = -5339/1151123 + 6/2201. Let r = m + p. What is the common denominator of r and -101/4?
52
Suppose 4*h + 6*i + 16 = 4*i, -i - 10 = 3*h. Suppose 3*g - 10 = -2*g. Calculate the lowest common multiple of (-17)/51 - (112/6)/h and g.
18
Let u be (-5 + (-63)/(-14))*0. Let l = u - -28. What is the lowest common multiple of l and 28?
28
Let q = -11/89 + 1078/801. What is the common denominator of q and 65/516?
1548
Let z = -175 - -146. Let m = 33 + z. Calculate the smallest common multiple of 10 and m.
20
Suppose -98*w + 217 + 840 = 77. What is the smallest common multiple of 5956 and w?
29780
Let b = -558/329 - -26/47. Let y(g) = -g**3 - g**2 + 2*g - 6. Let q be y(0). What is the common denominator of b and (-1 - -1) + q/(-30)?
35
Let s = 2899/198 - -5/198. Let v = 95/12 - s. What is the common denominator of 1/3 + (-130)/21 and v?
28
Let l be 18/12*(-5664)/18. Let t = l - -586. Calculate the smallest common multiple of 8 and t.
456
Let u(c) be the second derivative of -c**5/20 - 5*c**4/12 - c**3 - 8*c**2 - 5*c - 7. Calculate the least common multiple of u(-5) and 68.
476
Suppose 0 = 797*y - 822*y + 25. Suppose -2*h = -7*h + 240. Calculate the smallest common multiple of (-244)/h*-3 + y/(-4) and 33.
165
Let i = 197289/85328 + 2/5333. Find the common denominator of i and ((-282)/18)/(170/(-51)).
80
Let l(w) = 5*w - 1. Let h be l(14). Let r = -63 + h. Let z = 65 - 44. What is the least common multiple of z and r?
42
Calculate the smallest common multiple of 810/60*(-12)/(-9) and 19660.
176940
Let k = 36 - 34. Let q = -54 - -53. Let t = q - -7. What is the smallest common multiple of k and t?
6
Let w = -10582525/340807984 - -4/153241. Calculate the common denominator of -43/1668 and w.
6672
Let t = 2267 - 61247/27. Let c = 24116952196931/3527966490291 - 1/798363089. Let r = c - -26/491. Calculate the common denominator of t and r.
27
Let n = -211 + 179. Calculate the least common multiple of 5 and (6/(-4))/(6/n*2).
20
Find the common denominator of (29/6 + -5)*17 and -27/106.
318
Let l(w) = -w**3 - 2*w**2 - 2*w - 37. Let c be l(-4). Let b = 21 - 14. Suppose 2*u - c*u = -b. What is the smallest common multiple of u and 5?
35
Suppose -489 - 845 = -29*b. Calculate the least common multiple of b and 114.
2622
Let t = 6167 + -4847. Calculate the lowest common multiple of 6 and t.
1320
Let x = 16/5863 - 578639/20825376. Find the common denominator of x and -101/222.
3552
Let v = -6079/5 + 1220. Calculate the common denominator of (6/392)/((-1635)/21800) and v.
245
Let w(y) = 3*y**2 - 11*y + 6. Let g be w(8). Let o(h) = -h + 2. What is the lowest common multiple of o(-16) and ((-3)/(-2))/(15/g)?
198
Let b(u) = -u**2 + 68*u - 547. What is the smallest common multiple of (-3)/(-3 + (-11)/(-4)) and b(45)?
1464
Calculate the common denominator of 85/1456 and (-11)/(-154)*(-8)/(-12)*(-927)/(-78).
1456
Suppose -2*q - 3*r = 7, q - 5*r = -2*r + 19. Calculate the least common multiple of 4684 and q.
4684
Suppose -34 + 184 = 25*n. Let u(j) be the third derivative of -j**5/60 + 5*j**4/24 + 5*j**3/3 + j**2. What is the smallest common multiple of u(n) and 22?
44
Let g(x) = -205*x + 1095. Calculate the smallest common multiple of 576 and g(3).
2880
Let k(u) = -u**2 - 38*u - 63. Let d be k(-36). What is the common denominator of -13/63 and (-13175)/5250 + -1*(-6)/d?
630
Let w be 5/(25/2) - 2/5. Calculate the smallest common multiple of 158 and (-8)/(-20)*(24 - (4 - w)).
632
Let s = 6933 + -6869. Calculate the smallest common multiple of s and 186.
5952
Let w(q) = q**3 + 4*q**2 - 9*q - 6. Let u(f) = f**3 + 7*f**2 + 3*f + 6. Let y be u(-7). Calculate the lowest common multiple of w(-3) and (4 - y) + 6/(-2).
240
Let j(f) = f**3 - 14*f**2 - 2*f + 15. Let i be j(14). Find the common denominator of (1/(-84)*2)/((-1)/i) and -17/6.
42
Let g be ((-6)/(-5))/(115/(-25) + 5). Suppose g*r = 9, -k + 5*r - 9 = r. Suppose -5*y - k*i + 69 = 0, 4 = -i + 2. What is the least common multiple of y and 3?
15
Let p(k) = -k**3 + 211*k**2 - 2748*k - 62. Let f = 13 + 23. What is the lowest common multiple of f and p(14)?
468
Suppose 5*r + 2*f - 20 = 0, 4*r - 7*r - 4*f - 2 = 0. Suppose 0*c = -c + 5*l + 10, -4*l - 19 = -3*c. What is the least common multiple of c and r?
30
Let s = -33 + 73. Let c(g) = 2*g**2 - 135*g + 2112. What is the smallest common multiple of c(43) and s?
40
Let g = -459/2 - -224. What is the common denominator of g and ((-2220)/369 + 6)/(208/14508)?
82
Let u be -2 + 164811/36 + 2. Let a = u - 4590. Let w = 1/213501 + 4625843/2562012. Calculate the common denominator of a and w.
36
Suppose 8299*j - 4760 = 8231*j. Calculate the least common multiple of 2670 and j.
18690
Let t(a) = a**3 + 4*a**2 + 5*a + 3. Let s be t(-3). Let b = -17993 + 17981. Calculate the common denominator of -67/24 and (b - -10)*(-13)/s.
24
Let y be (-867)/(-9) + 4*10/(-120). Find the common denominator of -17 and ((-1)/y*3)/((-30)/(-2440)).
24
Let u = -4580 + 4600. Suppose -5*n - 36 = -2*n. Let l = -8 - n. What is the smallest common multiple of l and u?
20
Let h(x) = -x**3 + 3*x**2 + 17*x + 3. Let i be h(6). Calculate the lowest common multiple of i/(1068/(-150) - -7) and 5.
25
Let r(n) = 180*n**2. Calculate the smallest common multiple of r(2) and 40.
720
What is the common denominator of -79/15 and 288/768 + (-2391)/360?
15
Suppose -176 + 186 = -5*c. What is the common denominator of 53/33 and 3/(c/(-11) - 8967/(-7854))?
165
Suppose -700 = -4*y - 4*i, y - 9*i - 155 = -14*i. Calculate the smallest common multiple of 30 and y.
180
Let h(m) = -m + 14. Let k(w) = -6*w**2 + w. Let g be k(-1). What is the least common multiple of h(-10) and (g/(-21))/((-1)/(-48))?
48
Let g = -7041994474/3 - -985882743259/420. Let y = 33493/4 - g. Calculate the common denominator 