ppose 0 = 26*n + 22*n - 480. What is the smallest common multiple of n and 5?
10
Suppose 24 = -3*q + 2*q. Let g = -249 + 256. What is the smallest common multiple of g and (16/(-24))/(2/q)?
56
Calculate the common denominator of 1/14 and 2/(-10)*(-75210)/43056.
2184
Let s be (-54 + 268)*1042/39. Let u = -5718 + s. What is the common denominator of u and -40/13?
39
Find the common denominator of -163/30 and 489/(-40)*92/(-13869).
2010
Let p(a) = -a**3 + 6*a**2 - 5*a + 4. Suppose -10 = 9*g - 11*g. Let t be p(g). What is the lowest common multiple of 6 + t - (2 - 0) and 2?
8
Let u(v) = 4*v**2 - 44*v - 312. What is the lowest common multiple of 480 and u(-7)?
960
Let d = 2326529749/354618 + 278/16119. Let x = 6565 - d. Calculate the common denominator of (-2261)/(-816) + 4/24 and x.
176
Let h = 676 - 336. What is the smallest common multiple of 250 and h?
8500
Let k = -177 - -210. Find the common denominator of 31/9 and 106*(7/14 + (-15)/k).
99
Let x = -26140318/717 + 36458. Calculate the common denominator of -73/33 and x.
7887
Let d(q) = q**3 + 5*q**2 - 10*q - 2. Suppose -19*l + 21*l = -134. Let p = l + 61. What is the smallest common multiple of d(p) and 24?
264
Suppose -5*o = 2*a - 1810, 20*o + 3*a - 1815 = 15*o. What is the least common multiple of o and 75?
1800
Find the common denominator of 1 + (7 + 0 - 32049/3960) and -49/220.
440
Suppose 3*p + h + 0*h = 83, 5*h = -4*p + 107. Calculate the lowest common multiple of (15/25)/((-4)/(-140)) - (0 + 9) and p.
84
Let s be (728/(-21))/((-6)/45). Suppose s = 4*b + 172. What is the least common multiple of b and 22?
22
Find the common denominator of ((-1)/(664/(-486)))/(117/(-78)) and 89/332.
332
Let p = 25316 + -13670647/540. Calculate the common denominator of -197/630 and p.
3780
What is the common denominator of -71/154 and (-1794)/(-20790) + 5/45?
770
Calculate the common denominator of (-58)/(-4) + -13 - 1473/900 and 49/1200.
1200
Suppose -3*h = -5*v - 3, -4*h = -0*h - v - 21. Let w be 8*(-6)/(-9)*h/(-8). Let b(k) = -9*k + 8. What is the smallest common multiple of 28 and b(w)?
308
Let f(c) = 284*c - 9146. What is the least common multiple of f(43) and 8?
12264
Suppose 23*p = -8*p + 8*p + 45632. Calculate the lowest common multiple of p and 558.
17856
Let s = 179404293/464 + -386647. Calculate the common denominator of s and -1/928.
928
Let c = 19 + -10. Let l = -1771 + 1858. What is the least common multiple of c and l?
261
Let f(l) = 15*l. Let u(z) = 2*z**3 + 8*z**2 + 13*z + 20. Let x be u(-7). Let c = x - -383. What is the lowest common multiple of c and f(2)?
90
Let k = -587 + 594. Suppose -202 = -k*r + 8. Suppose 18 = -0*f + 2*f. What is the least common multiple of f and r?
90
Let u = 14 - 29. Let t = -36129 + 361399/10. What is the common denominator of (5/(u/134))/12 and t?
90
Let j be (-1 - (-10)/6) + 102/9. Suppose 2*p - j = -p. Suppose -3*m - g + 10 = -0*g, -5*g = 4*m - 6. Calculate the lowest common multiple of p and m.
4
Suppose 0 = -z + 4*o + 82, -3*z + 2*o + 246 = -0*z. Let h = z - 200. Find the common denominator of 43/15 and ((-5)/(-20))/((-15)/h).
30
Let s be (-654)/(-180)*(-31707)/(-4). Let x = -28803 + s. What is the common denominator of -91/16 and x?
80
Let u(d) = 8*d - 110. Let v be u(14). Let s = -9 + 17. Let q = v + s. Calculate the smallest common multiple of 14 and q.
70
Let f(k) = k**3 + 8*k**2 + 7*k + 5. Let g = -18565 - -129926/7. Calculate the common denominator of f(-4) and g.
7
Calculate the common denominator of -35/1536 and ((-85)/68)/((16/(-170))/((-2)/5)).
1536
Let l = 11473 - 3887. Let b = l - 60593/8. Find the common denominator of (-258)/(-30) + 9/2 + -3 and b.
40
Let v = 73395 + -63853673/870. Calculate the common denominator of 77/1305 and v.
2610
Suppose -h + 90 = 1834. Calculate the common denominator of 25/22 and (-1)/2 - ((-8140)/h - 5).
4796
Let x(s) be the second derivative of 12*s - 1/12*s**4 + 0 + 9/2*s**2 - 19/6*s**3. Calculate the smallest common multiple of 33 and x(-18).
297
Let d = 267 + -242. Suppose -10*y = -d - 275. Calculate the least common multiple of 6 and y.
30
Let m = 595555/24 - 24821. Let x = 8184901/9 - 911566. Let d = -2138 - x. Find the common denominator of m and d.
72
Let i = 636 + -1801. Let s = 10435/9 + i. Calculate the common denominator of s and 4/(-14)*2*-1.
63
Let r = -1263/11 + 2203/44. Let f = r - -62. Find the common denominator of f and 0 - (-1)/20*82.
20
Let h = -183715/34 - -5404. Let x = -153763/603 - -255. Let i = x + 28313/8442. Find the common denominator of i and h.
238
Suppose -u - 2*c - 16 + 53 = 0, u + 5*c - 55 = 0. Suppose -4*j - h + 245 = 0, -11 = j - h - 66. What is the lowest common multiple of u and j?
300
Let n = 8241 - 7601. Calculate the smallest common multiple of n and 120.
1920
Calculate the common denominator of 4 - 7959/3312 - (-57)/(-38) and -68/15.
5520
Let b(z) = -139*z + 3. Suppose -k + 2*k = -1. Calculate the smallest common multiple of 18 and b(k).
1278
Let w(g) = 3*g**2 - 39*g + 46. What is the least common multiple of w(16) and (-1)/3 - (-516)/36?
1330
Calculate the common denominator of 292/2482 - (-3666)/(-10064) and 59/14.
2072
Suppose 410 = 5*y - 5*t + 145, 9 = 3*t. Suppose -243*f = -240*f - 231. What is the least common multiple of y and f?
616
Let j(f) = -f**3 - 6*f**2 + 18*f + 28. Let y(x) = x**3 + 7*x**2 + 6*x - 8. Let l be y(-6). What is the smallest common multiple of 4 and j(l)?
12
Let g = -82307/10 + 8223. Let y = 3219/20 + -161. Find the common denominator of y and g.
20
Let g(z) = z**3 + 7*z + 604. Let d be g(0). Let i = -552 + d. What is the least common multiple of 10 and i?
260
Let g(s) = -20*s**2 + 203*s - 12. What is the lowest common multiple of g(10) and 32?
288
Let z(g) be the third derivative of g**4/24 + 49*g**3/6 - 6*g**2 - g. Calculate the lowest common multiple of 44 and z(-17).
352
Let u = 24393 + -46279/2. Let n be (-348)/261*((-43884)/(-16))/(-3). Let x = n - u. What is the common denominator of -29/30 and x?
30
Let g = -37 - -59. Let q = -159 - -2893/18. Calculate the common denominator of 2 + 18/(-64)*g and q.
144
Let l = 403/4 + -2197/20. Let c(z) = -z + 44. Let w be c(0). Find the common denominator of l and 4/(w/(-47)) + 1.
110
Let x be 5/(25/6)*15. Calculate the common denominator of 26/575 and ((-143)/117)/(3/x).
1725
Suppose -6*p - 32 + 56 = 0. Find the common denominator of (-114)/(-24)*3*p/(-6) and 43/35.
70
Calculate the least common multiple of -5302*((-5)/(35/(-84)*-2) + 5) and 1446.
15906
Find the common denominator of (103/(-12))/(155/62) and (7/(63/(-318)))/((-10)/3).
30
Suppose -180 = z - 4*z. Suppose -2*m - 42*q = -47*q - 50, 13*m - 3*q = 384. What is the lowest common multiple of z and m?
60
Let z be (-44)/(-24) + 4*(-4)/(-96). Suppose z*c + 27 = 5*h, 2*h - 5 - 1 = 0. Let b(a) = 2*a**2 + 4*a - 9. Calculate the least common multiple of 9 and b(c).
117
What is the common denominator of ((-654)/(-4905))/(56/170) and 79/1605?
22470
Suppose 2*l - p + 4988 = 1616, 5*p = 5*l + 8430. Let b = -18594/11 - l. What is the common denominator of -86/195 and b?
2145
Suppose 0 = -58*x + 62*x + 5*y - 1986, 0 = -2*x - 5*y + 978. Calculate the least common multiple of x and 36.
504
Let n be ((-4)/(-2))/((-68)/(-102)). Let i(k) = -k**3 + 2*k**2 + 2*k + 7. Calculate the lowest common multiple of 4 and i(n).
4
Let g be (0 + -5)*54/(-90). Suppose 0 = o - 16*w + 11*w + 12, g*o - 28 = -w. Suppose i + 3*i = 272. Calculate the smallest common multiple of i and o.
136
Calculate the lowest common multiple of 159 + 16/(-88)*-11*10/4 and 738.
1476
Let t = -159/164 - 6205/1804. Let d = 0 - 1. Calculate the common denominator of t and (388/(-48))/(d/(-3)).
44
Let c(y) = -39*y**2 + 118*y + 1. Let b be c(3). Let i be (-2)/(-8) + (-342)/(-8). Suppose -19 + i = b*f. What is the lowest common multiple of f and 39?
78
Let f(b) = -8*b - 24*b - 238 - b**2 - 23*b. What is the lowest common multiple of 24 and f(-48)?
1176
Let i = -3 + 5. Let z = -322/599 - 42633/13178. What is the common denominator of i/5 - (-299)/(-10) and z?
22
Suppose 2*o - 3*y + 33 = -323, 0 = 2*o + 3*y + 380. Find the common denominator of 35/6 and (o/(-420))/(13/(-9) - -1).
210
Let i = -638 - -643. Calculate the least common multiple of 26 + -3*(-3)/(-3) and i.
115
What is the common denominator o