3*m + 0*w = w - 101. Suppose -29*v = -m*v. Calculate the common denominator of -41/5 and 72/34 - v - 0.
85
Let z(m) = m**2 - 40*m + 473. Let s(t) = t**3 + t**2 - t + 22. Calculate the smallest common multiple of s(0) and z(15).
1078
Let j(s) = 22*s - 13. Let p(k) = 11*k - 6. Let c(q) = -4*j(q) + 9*p(q). Suppose 3*i - 32 = -i. Calculate the least common multiple of c(1) and i.
72
Let p = -627 + 848. Let k = 236 - p. Calculate the least common multiple of 144 and k.
720
Let n be (-2)/14 + 1248/14. What is the common denominator of ((-4)/(64/(-90)))/((-30)/(-50)) and n/(-10)*(-2)/(-2 + 6)?
40
Suppose -93 = -2*z + 2*v + 49, v = -4*z + 309. What is the common denominator of z*1*4/8 and 93/8?
8
Let n(o) = -8*o**2 + 76*o - 20. Calculate the least common multiple of n(8) and 100.
1900
Calculate the least common multiple of 880 and (-22)/((-68)/64 + 1).
1760
Calculate the common denominator of (-8)/(-16) + 38/30 and (531/54 + 1)*(-12)/(-270).
270
Suppose 2*j + 148 = 3*j. Suppose -152*w + j*w = -52. Calculate the least common multiple of 91 and w.
91
Suppose n = -4*n - 8*n + 364. Find the common denominator of n and -125/6.
6
Let v(u) = 4*u + 24. Let t be v(10). Suppose -3*c = -h + 48, -2*h = c + c - t. Suppose 10*s - h = 7*s. Calculate the smallest common multiple of 48 and s.
48
Let c be ((-133629)/(-3))/(2 - 1). Let h be c/(-74255) + ((-36)/(-10) - 3). Let q = 1381159/118808 - h. What is the common denominator of 67/18 and q?
72
Suppose 17*q - 72 = 37 - 7. Calculate the least common multiple of q and 3008.
9024
What is the common denominator of (522/(-260))/(30360/(-575)) and 85/66?
6864
Let k(f) = f**2 + 17*f + 20. Let q be k(-13). What is the smallest common multiple of 40 and (60/16)/((-2)/q - 0)?
120
Let x = 4803 - 4783. Calculate the least common multiple of x and 2962.
29620
Suppose -53 + 1472 = -234*g + 235*g. Calculate the lowest common multiple of g and 903.
9933
Let m(h) = -14*h + 18. Let p be m(11). Let j = 1 + p. What is the common denominator of (12/j)/(4/(-6) + 0) and 64/27?
135
Let g(y) = 45*y - 19. Let x(v) = 22*v - 10. Let w(b) = -6*g(b) + 13*x(b). Suppose 3*f + f - 20 = 0. Calculate the least common multiple of 10 and w(f).
320
Let q be (-5 - 126/(-30))/(1/10). What is the smallest common multiple of (((-30)/q)/(-3))/((-47)/1128) and 15?
30
Let m = -23764 + 25554. What is the lowest common multiple of 1969 and m?
19690
Suppose 4*c + t + 451 = 0, -25*t = -c - 29*t - 94. Find the common denominator of 25/24 and c/1197*1246/(-72).
216
What is the smallest common multiple of (11 + -8)/((-12)/(-3640)) and 35?
910
Suppose -h = t - 5, 4*t + 0*t + 4 = 2*h. What is the least common multiple of ((-10)/(-15) + (-2)/12)*(45 + 3) and (t + -21)*12/(-10)?
24
Let g = 4/37 - 941/148. Let w = 11161/996 + -13/332. Find the common denominator of w and g.
12
Let l be (-10)/45 + (-8645702)/4494816. Let v = l + -2/15607. Calculate the common denominator of v and -5/36.
144
Let j = -24011/18 + 1331. Let f be (-107152)/(-107520) + (-2)/(-8). Let r = f - -9/448. Find the common denominator of j and r.
90
Find the common denominator of -2 + -1 + ((-16317)/1818 - -12) and -19/9.
1818
Let p(q) = -q**3 - 26*q**2 - 2*q - 43. Let m be p(-26). What is the least common multiple of m - ((-66)/110)/((-2)/(-10)) and 82?
492
Let p(b) = -3*b - 11. Let s be (-4 - (-311)/3) + 8/6. Suppose 17 = -12*i + s. What is the lowest common multiple of i and p(-9)?
112
Let y(u) = 1180*u - 3480. Calculate the least common multiple of 162 and y(3).
1620
Let c be ((210228/441)/4)/(2/(-69)). Let f = 4112 + c. Find the common denominator of f and -107/140.
980
What is the lowest common multiple of -8*((-2)/(-8))/((-4)/8932) and 1001?
58058
Let o(w) = -6*w - 4. Let y(b) = b**3 - 30*b**2 - 106*b + 247. Calculate the smallest common multiple of y(33) and o(-10).
112
Let i be (-557709)/(-84) + -53 + 59. Suppose -2*w + 5*w = -19944. Let g = i + w. What is the common denominator of -99/2 and g?
28
Let q = 34149462/29659 + -21876/19. What is the common denominator of q and -107/42?
9366
Let i = -148 - -4. Let j = i - -162. What is the lowest common multiple of j and 146?
1314
Suppose -8*d + 127 = 159. Find the common denominator of (-49)/(-56) + 28/d and 374/672 - (-4)/(-14).
48
Suppose -s - 3 = 0, -4*y + 86 = 3*s + 27. Let n = -18 - y. Find the common denominator of n/56 + 3/2 and 7/4.
8
Let i = -24/355 - -31883/4260. Calculate the common denominator of i and (-278)/(-54)*1/(476/21).
612
Let w = 5967223839/7168 + -832481. What is the common denominator of w and 23/12?
21504
Calculate the common denominator of 273/(-20)*((2 - (-510)/108) + -7) and -2/123.
984
Let z(s) = 298*s - 4160. Calculate the lowest common multiple of z(14) and 2192.
6576
Suppose 4*j - l - 44 = 0, -3*j + 9 = -l - 25. What is the least common multiple of (-112)/14 - 95*-2 - 2 and j?
180
Calculate the least common multiple of (16*33/440)/(2/185) and 259.
777
Suppose 3*s - 22 = 98. Suppose -31*t + 20*t + 495 = 0. Calculate the lowest common multiple of s and t.
360
Let k = -10859/5950 - -26/175. Let f = -135 + 132. What is the common denominator of (-133)/(-22) - (9 + f) and k?
374
Let w be 2/(-5) - 30/(-75). Let h be (w + -2)/(10/(-895)). Suppose k = 3*c - h, -4*k - 6 = -4*c + 246. What is the least common multiple of 8 and c?
232
Let r(n) = -8*n**3 - 83*n**2 - 193*n - 8. What is the least common multiple of 332 and r(-7)?
1660
Let l = 3243049/111 + -29216. Calculate the common denominator of l and -31/24.
888
Let b = 17 - 19. Let c be 15/240*81869/b. Let l = c + 2558. Find the common denominator of l and 73/24.
96
Calculate the common denominator of 95/246 and (2/(-57))/(3116/(-4902)).
4674
Let r be 5*(2 - (-6993)/15). Let j = 404980/173 - r. What is the common denominator of j and 29/9?
1557
Let c be (-37)/(-2) + 2 + (-4)/8. Find the common denominator of (-4*26/c)/((-35)/10) and 1/63.
315
Let t(w) = -33*w**2 - 2*w - 4. Let h be t(4). Calculate the common denominator of -41/43 and (-6)/8 - (-1431)/h.
215
Let z = -1226/9 - -19609/144. Find the common denominator of z and 73/1488.
4464
Let i = 9823/10 - 1016438/1035. Find the common denominator of -25/966 and i.
2898
Calculate the common denominator of 47 and (-12956)/(-980) - 481/37.
245
Let x = -775 - -841. What is the lowest common multiple of 36 and x?
396
Let n(a) = 2*a**2 - 3*a**2 + 197 - a**2 - 168 - 12*a. What is the least common multiple of 1 and n(-7)?
15
Let k(l) = -16*l - 164. Suppose -5*m = -p + 3*p - 308, 3*p = 4*m - 228. Calculate the smallest common multiple of m and k(-11).
60
Let r = -301193/126 - -16734/7. Find the common denominator of r and 117/98.
882
Let d = 10/29417 - -1382559/117668. Let a = 2067 - 235663/114. Find the common denominator of a and d.
228
Let j = 6853223/496 - 13817. Let w = -5261/496 + j. Let u = 1940/13 - 16547/104. Find the common denominator of w and u.
8
Let u = -16219/484 + 5/484. Calculate the common denominator of -103/574 and u.
574
Let l = -24605/2168 - 7/271. Calculate the common denominator of l and (9/((-2430)/1070))/((-8)/12).
72
Let r = -3546819/427330 + -2/42733. Find the common denominator of r and ((-4)/28)/((-1)/23).
70
Find the common denominator of (-6)/93 + (-1670)/36239 and -4/2139.
14973
Calculate the common denominator of (-187)/(-150) - (5 + (-140)/24) and 41/665.
3325
Find the common denominator of 13/28 and ((-32190)/2840 + 11)/(0 - -2).
3976
Suppose 4*t = 4*s + 276, 4*t - 3*t - 5*s - 65 = 0. Let u = 2647 + -2622. Suppose -20*x + u*x = t. Calculate the lowest common multiple of x and 242.
1694
Let w = -401517/140998 + 938/319. Find the common denominator of -67/260 and w.
4420
Suppose 3*g = -3*b + 15111, 2*b - 3*g - 3368 = 6741. What is the smallest common multiple of b and 32?
40352
Suppose -t = 3*r - 7 - 15, -2*t = -4*r + 16. What is the least common multiple of (-63)/(-28)*52/13 and r?
18
Let d = -1333 - -1353. Suppose -5*f - 2*h = -210, 0 = 2*f + 3*f + h - 205. Calculate the least common multiple of d and f.
40
Suppose -5*w = 3*m + 995, 6*m - 642 = 8*m - 2*w. Let a = 335 + m. Calculate the least common multiple of a and 10.
10
What is the common denominator of ((-320)/640)/(77 - 1) and 79/2280?
2280
Let l(s) be the first derivative of -s**3/3 - 6*s**2 - 13*s + 71. What is the smallest common multiple