 ((-24)/(-6420))/(252/2565) and 85/56?
5992
Let k be (-18)/30 - 672/5. Let z = k - -191. What is the common denominator of 16/29 and ((-6)/(-4))/(z/(-208))?
203
Suppose 0 = 5*q - 15, -3*a + 0*q - 2*q = -24. Find the common denominator of 572/420 - (-7 + 66/10) and a/21 + 2948/168.
42
Suppose -d + 146 = 4*l + l, 0 = -5*l + 25. Let k = d - 77. What is the lowest common multiple of k and 12?
132
Suppose -8 = -4*g - 0. Let p(j) = -2*j - 386. Let u be p(-10). Let z = -354 - u. Calculate the lowest common multiple of z and g.
12
Let y = -3578 - -14213/4. Suppose 0 = -5*u + 4*m - 79, 4*m + 107 = -5*u + m. Let i = u + 191/8. What is the common denominator of i and y?
8
Let j(f) = f**2 - 81*f + 1779. Calculate the lowest common multiple of 104 and j(22).
3848
Let c(j) be the second derivative of -j**4/12 + j**3/3 + 3*j**2/2 + j. Suppose 2*q = 6*q - 10*q - 9*q. What is the lowest common multiple of c(q) and 21?
21
Suppose -4*g - 9448 = 9368. Find the common denominator of ((-695)/12)/(-5) + 1 and g/1760 - ((-4)/10 - -1).
132
Let r be (-10197)/15 + (-8)/(-2). Let c be (-4)/((-120)/46119)*8/18. Let q = c + r. Calculate the common denominator of 27/10 and q.
90
Let w be 0 + -6 + 459705/69685. Let l = -1/1991 - w. Find the common denominator of 16/49 and l.
539
What is the smallest common multiple of 282 and (-3 + 0)*-1 - 317715/(-359)?
41736
Let k be -1*4/16 + (-700)/80. Let x(g) = -2*g**3 - 19*g**2 - 7*g + 22. Calculate the least common multiple of x(k) and 31.
124
Suppose -4*j = -42 - 558. What is the lowest common multiple of (645/(-258))/(17/(-238)) and j?
1050
Suppose -64951 - 75525 = -146*q - 260*q. Calculate the lowest common multiple of 2 and q.
346
Let t = 8 - 78. What is the smallest common multiple of 75 and (20/14)/(-4 + (-290)/t)?
150
Let j(y) = 2*y - 4. Let n be j(5). What is the least common multiple of 5/2*(-1 - (-94)/10) and (-8)/12 + 166/n?
189
Let i = -9670/27 - -358. Let w = 1217 + -25541/21. Calculate the common denominator of w and i.
189
Calculate the common denominator of (-42)/36 - (-260)/700 and -97/1092.
5460
Let v = -654741 + 1885654021/2880. Calculate the common denominator of v and -39/640.
5760
Find the common denominator of (-12196)/1023 + (31 - 19) and -8/651.
7161
Suppose -8 - 5 = -j + c, -63 = -3*j - 5*c. Suppose -j = 24*i - 136. Let k(l) = 2*l**2 + 2*l - 3. What is the smallest common multiple of i and k(2)?
45
Suppose -5*s - 65 + 106 = q, 4*q + s - 12 = 0. What is the smallest common multiple of q and 11?
11
Let q = -2819/10 + 273. Let f(y) = 220*y + 83. Let n be f(-25). Let t = n + 54097/10. What is the common denominator of q and t?
10
Suppose -4*r + 9 = -15. Let v(h) = 76*h**2. Let l be v(1). Suppose -4*f - 4 = -l. Calculate the smallest common multiple of r and f.
18
Let s(k) be the first derivative of -k**4/4 - 20*k**3/3 + 21*k**2/2 + 42*k - 40. What is the least common multiple of s(-21) and 12?
84
Let q = -5801 + 8671. Calculate the smallest common multiple of 56 and q.
11480
Let w be -3 - -8 - 8 - (-60598)/20200. Let q = w + -188111/15150. What is the common denominator of 7/318 and q?
636
Let u be (-248)/12*(-15)/2. Suppose -4*b = b - u. Let a(v) = -1030*v - 9260. What is the least common multiple of b and a(-9)?
310
Let c(m) = m**3 - 9*m**2 - 8*m - 8. Suppose b = -5*o + 5 - 28, 3 = 4*b + o. Suppose t = b*t - 10. Calculate the smallest common multiple of c(t) and 21.
84
Let g = 4 - 6. Let c(k) = 8*k**3 + 2*k**2 + 3*k + 2. Let i be c(g). Let l = 69 + i. What is the smallest common multiple of 18 and l?
18
Let l = 1014 - 955. Suppose 48*i = 44*i + q + 53, 4*i + q - l = 0. Calculate the smallest common multiple of i and 428.
2996
Let u be 3*8/(-32) + 230/232. Let x = 992/3509 - u. Calculate the common denominator of 29/99 and x.
1089
Suppose -5*a = -25, -3*x + 5*a + 30 = -1196. Let q be 3/(x/(-105) - -4). What is the common denominator of 82/20 + (-21)/q and -22/5?
10
Suppose n + 6*n = 0. Suppose -10*r + 7*r + 36 = n. Let z(i) = -i**3 + 6*i**2 + 7. What is the lowest common multiple of z(6) and r?
84
Suppose -4*k = c - 276, 2*k - c - 143 - 1 = 0. Calculate the lowest common multiple of 30*630/(-2700) + 160 + 1 and k.
770
Let q = -2410 + 4329. Let c = 23534/16875 - -8/625. Find the common denominator of -1 + 2 + q/570 and c.
270
Let i = 1579585352793469/49240 - 32079312610. Let d = -35/1231 + i. Let s = 59319/3164 + 3/1582. Calculate the common denominator of d and s.
40
Let w = 2/39093 + 3948329/1250976. Let x = 13/47 - 1574/423. Calculate the common denominator of x and w.
288
Let v be 4 - -39 - (6/(-3) - 0). Let l = 22 + v. Suppose 0 = -68*h + l*h + 50. What is the lowest common multiple of h and 8?
200
Let m = 12752/261621 - 146/709. Find the common denominator of m and -59/960.
118080
Let c(u) = -u**3 - 4*u**2 + 15*u + 20. Let a be c(-6). Let p(z) be the first derivative of 5*z**2 + 2*z - 2. Calculate the least common multiple of 4 and p(a).
44
Let d = 479/28 + -24805/1442. What is the common denominator of -27/14 and d?
2884
Let o be (-116)/((-133)/(-21) - 7). Suppose 3*m - 3*l - o = 0, 4*m - m + 4*l - 188 = 0. What is the smallest common multiple of 90 and m?
180
Calculate the common denominator of 408/85 - ((-26)/36 + (-26)/(-117)) and ((-61)/11)/(8 - 5).
330
Calculate the common denominator of (11 - (-89102)/(-8060))/(2 - 62/12) and -101/50.
29450
What is the smallest common multiple of 5 and (510/40)/((-4)/16*-3)?
85
Let f = -1088 - -1363. What is the lowest common multiple of f and 330?
1650
Let q be 1036/(-511) + 0 - (2 + -4). Let l = q + 3165/949. What is the common denominator of l and -37/6?
78
Let x be ((-150)/18)/(3/(-72)). Let r = -149 + x. What is the smallest common multiple of r and 9?
153
Suppose 6*b + 15 = -15. Find the common denominator of ((-2476)/(-496) + b)/((-3)/594) and -45/2.
62
Suppose 3*v - 888 = 3*i - 66, 2*v + 5*i - 569 = 0. What is the least common multiple of 1 and v?
277
Let o = -3503906059/415338 + -70751/4466. Let y = -8452 - o. Find the common denominator of y and -115/18.
558
Let b(s) = 8*s - 2*s + 10 - 32. Suppose 0 = 3*n + 2 + 7, 2*g - 3*n = 19. Calculate the least common multiple of 9 and b(g).
72
Let d = -3 + 1. Let t = d + 7. Calculate the smallest common multiple of t and (6725/750 - (-4)/(-30)) + 2/12.
45
Let n = 2/343 - 411/11662. Let i be 2066*7*(-4)/(-7616). Let a = i - n. What is the common denominator of a and -13/10?
40
What is the common denominator of 6/(-10) + 4 + (-1915)/(-150) and 0 + (-8)/((-384)/(-568))?
6
Let l(r) = r**3 - 12*r**2 - 16*r - 16. Let n be l(13). Calculate the common denominator of (2 - -1) + (-2)/(-88)*-170 and 70/(-28)*107/n.
22
What is the lowest common multiple of -5*(-10)/(-25) - (-5 + -41 + -6) and 705?
7050
Calculate the common denominator of -2*(-91)/(-35) + (-9)/3 and -6 - (3 - 6) - (-181)/55.
55
Let p(z) = -z**2 + 18*z + 128. Calculate the least common multiple of 1632 and p(22).
8160
Let x = 19 + 26. Calculate the common denominator of (-10)/x*(-294)/32 and -45/16.
48
What is the smallest common multiple of (14/(-7))/((-42)/315) and 1560?
1560
Suppose 0 = g + 2 - 24. Let h(q) be the first derivative of q**2 + 60*q - 36. Calculate the smallest common multiple of g and h(-16).
308
Let c = -2471111/6510 - 334/651. Let p = -375 - c. Find the common denominator of -25/78 and p.
390
Let l = 1142 - 282079/247. What is the common denominator of -43/936 and l?
17784
Find the common denominator of (9/(-15))/(12/156)*4/(-6) and -22/3141.
15705
Let l = -5 - -11. Let s be (-616)/(-105) + l/45. Let a = 4 + s. Calculate the lowest common multiple of 10 and a.
10
Suppose -5*r + 2*d = -52, -r + 15 = -d - 4*d. Suppose 0 = 3*x + 16 + 11. Calculate the lowest common multiple of r and (x/(-6) - 0)*2.
30
Let o = 614261589511199/30486 - 20148972950. Let r = o + 2/5081. Calculate the common denominator of -1/49 and r.
294
What is the common denominator of 35/24 and (-1981)/(-2958) + 26/221?
696
Let j(g) = 16*g**3 - 90*g**2 - 16*g + 15. What is the smallest common multiple of 765 and j(6)?
2295
Suppose -16 + 6 = -5*l. Suppose 353 = 3*i - 235. Suppose -2*d = z - 30, 4*z - d + 40 = i. Calculate the smallest common multiple of l and z.
38
Let d(n) = 2*n + 6. Suppose 10*g = -58 + 458. Calculate the smallest common multiple of d(3) and g.
120
What is the