**3 + 8*q**2 + 6*q - 1. Calculate the least common multiple of k(-7) and i(y).
6
Let l be 4 - 1854*(5 - 4). Find the common denominator of 56/9 and l/(-420) - 2/4.
63
Let h(c) = -88*c + 1. Let r be h(14). Let p = r - -442. Let i = p + 15673/20. Calculate the common denominator of i and 97/4.
20
Let h be 0 + 22 + 1/(-4)*4. Find the common denominator of 16*(-6)/((-1188)/h) and 97/2.
66
Let i = 214 + -83. What is the least common multiple of (962/(-78) + 13)/((-1)/(-15) + 0) and i?
1310
Let r = 58363341/11060 - 73877/14. Find the common denominator of r and -101/632.
3160
Let a = -1221/1568 + -92/49. What is the common denominator of 24 + -21 + 758/(-160) - -2 and a?
160
Let p = -759399643/41328 - -257249/14. Find the common denominator of -115/96 and p.
11808
Suppose 4*i - 272 = -2*u, i - 1103 = -21*u + 13*u. What is the lowest common multiple of 2/(-6) - 67/(-3) and u?
1518
Calculate the least common multiple of 2057 and (-235 + 234)/(-2*(-3)/(-396)).
12342
Let g be (-2)/((-11)/35 - 6/(-10)). Let z be 7*(18 + 0)*(-4)/g. Suppose -5*c = c - z. Calculate the lowest common multiple of c and 24.
24
Let a = 36 - 22. Let r = 22 - a. Suppose 2 = 3*b - 19. Calculate the least common multiple of b and r.
56
Let j(w) = w**2 - 2. Let t be j(-2). Suppose 0 = 2*m - 4*d - 28, 3*m + t*d = 7*m - 50. Suppose 3*a - 5*a = -m. What is the least common multiple of 4 and a?
12
Calculate the common denominator of -185/3822 and -1*312/1764*10/(-4).
3822
Let y be (-5)/(-1 - -6)*1*24. Calculate the smallest common multiple of 15 and (60/y)/(-2 + 6/4).
15
Suppose 0 = -4*l - 4*x + 8, -6 = -4*l + 2*x + 2. What is the common denominator of (-182)/72*1*-3 and 4 - -76*l/(-33)?
132
Let r = -112113245 + 13453442591/120. Let b = r - -6124/5. What is the common denominator of b and 7/12?
120
Let m(a) = -142*a + 1421. Let b = 72 - 46. What is the lowest common multiple of b and m(9)?
286
Suppose 114*x - 117*x + 27 = 0. Suppose -x*p - 2592 = 3*p. What is the common denominator of (14/(-8))/((-60)/p) and -23/26?
130
Let v = 78 - 633/8. What is the common denominator of v and (6375/135 - 7)*3/(-80)?
120
Suppose 4*g + 26 = -398. Let p = -106 - g. Suppose q + 2 - 4 = p. Calculate the least common multiple of q and 34.
34
Let h = 593 - 293. Find the common denominator of 41/4 and 2/(-1) - 158*(-3)/h.
100
Let a = -14546 + 174469/12. Calculate the common denominator of 61/1372 and a.
4116
Suppose -4*y = 12, y + 0*y - 25 = 4*f. Let k = f + 5. Calculate the least common multiple of 1 and 2 + 7 + 4/k.
7
Let o be -3*(-5)/(-3) - 193. Find the common denominator of o/(-48)*14*2/48 and 99/64.
64
Suppose 0 = -10338*k + 10337*k + 28. Calculate the lowest common multiple of 48 and k.
336
Let n = -102 - -56. Let a = -199 - n. What is the common denominator of ((-5)/(-6))/((-9)/a) and -32/9?
18
Suppose 2*z - 2*d = 136, z - 32 = -4*z - 9*d. Let o(g) be the second derivative of 2*g**3/3 + 2*g**2 + g. Calculate the smallest common multiple of z and o(3).
368
Suppose -54*v + 53*v = 62. Let l = 66 + v. Suppose 2*a = 0, l*t - 2*t - 4*a = 8. Calculate the smallest common multiple of 60 and t.
60
What is the common denominator of (49*(-4)/(-72))/(177/(-9)) and -3/2?
354
Suppose 2*x - 2*s = 72, s = 2*x + 3*x - 184. Let g = x - 31. What is the common denominator of 2 - -1 - ((-335)/(-10) + g) and 7/6?
6
Calculate the least common multiple of 282 and (0 - -8) + (-48 - -48).
1128
Let u = 20969 - 20387. Let o(z) = z**3 + 15*z**2 - z - 7. What is the smallest common multiple of u and o(-15)?
2328
Let s = -416061 + 149781847/360. What is the common denominator of 167/660 and s?
3960
Suppose -502 = 2*t + 5*p - 984, -t = 5*p - 236. Calculate the least common multiple of 52 and t.
6396
Let d = 7804 + -7714. What is the smallest common multiple of 60 and d?
180
Let l = -4119004759175/4122 + 999273359. Let k = l - 16/229. Calculate the common denominator of k and 11/20.
180
Suppose 0 = -r - m + 5, -r + m = -4*r + 11. Suppose r*c - 182 = -47. What is the common denominator of c and (-2 - (-47)/4*-14)/(3240/216)?
10
Suppose 171639 = 111*l - 72*l. Calculate the lowest common multiple of 9 and l.
4401
Let c = 5348 + -5328. Suppose 160 = g + 3*g. Calculate the smallest common multiple of c and g.
40
Let b(d) = 2*d + 5. Let z be b(4). Let s(f) = -2*f**2 + 20*f. Let u be s(z). Let a = u + 84. Calculate the least common multiple of a and 66.
66
Let g = 1410/37 + -1155/74. Let h = -15740/7 + 2243. Find the common denominator of g and h.
14
Let o = -50 - -485. Suppose -5*x = -v - 423, 0 = 5*x - 19*v + 14*v - o. Calculate the least common multiple of 20 and x.
420
Let a be 0/(2 + 0 + 0). Suppose a = -4*w + 25 - 13. Suppose 5*y - 5*f = -5, -f + 4 + w = y. What is the lowest common multiple of 3 and y?
3
Let w be 976570/190544 - 2/(-4). Let r = w + -2/11909. What is the common denominator of r and 91/100?
200
Let f = -1522 - -68407/45. What is the common denominator of f and (108/(-120))/(104/14 - 7)?
90
Let h = -116367/34 + 3422. Calculate the common denominator of h and -25/22.
374
Let n be 49242/(-180) + (-3)/(-6) + -5. Let t = -815/3 - n. Find the common denominator of t and -89/116.
580
Suppose 3*z + 2*x - 1182 = 0, 5*z + 65*x - 67*x - 1954 = 0. What is the smallest common multiple of z and 56?
392
Let n(r) = r**3 - 14*r**2 + 34*r + 1. Let q be n(11). Let k be -2 + 10/4 - q/(-8). Calculate the smallest common multiple of 44 and k*534/30 - 4/(-10).
396
Suppose -71*z = -72*z + 2. What is the common denominator of 1/z + 4576/(-1152) and -107/6?
36
Let m(q) = 7*q**3 - q**2. Let n be m(1). Let j = 9 - n. What is the lowest common multiple of -2*-1*(-6 + 7) and j?
6
Let v be (1955 + 7/7)/(2/(-4)). What is the common denominator of -71/4 and 1/6 + 452/v*-1?
652
Let d(l) = -3*l - 5. Calculate the smallest common multiple of d(-2) and (8/3)/(10*(-11)/(-165)).
4
What is the common denominator of ((-100)/25 + (-410)/(-104))/(27/(-93)) and -157/156?
156
Let m = -2/6207 + 254497/31035. Let c = -769831/47 - -16380. Calculate the common denominator of m and c.
235
Calculate the common denominator of (-2 - (-40)/26) + (-32651)/(-329680) and -83/576.
2880
Suppose -o = 2*d + 58, -d - 3 = o + 24. Let g = d - -32. Let j(r) = r**2 + 14*r - 4. What is the lowest common multiple of j(-15) and g?
11
Let o = -2 - -14. Suppose -602 = -3*r + 4*f, 4*r - 798 = f + 2*f. Suppose -12*l + 6*l = -r. Calculate the lowest common multiple of l and o.
132
Let k(x) = 121*x + 4678. What is the least common multiple of 940 and k(-34)?
2820
Let u(l) = 3*l - 15. Let h(j) = j**2 + 19*j + 56. Calculate the smallest common multiple of h(0) and u(7).
168
Let r = -3/1186 - 17191/2372. What is the common denominator of r and -37/312?
312
Suppose -5*w + 5*i = -25, -3*w - 3*i - 39 = -48. What is the least common multiple of 5196 and w?
5196
Suppose -3*j - 10*j + 182 = 0. Suppose 0 = 2*x - 5*p + 9*p - 8, -5*x - p = -20. Let d = x - -1. Calculate the least common multiple of d and j.
70
Let y = -348129 - -208181095/598. What is the common denominator of 3/2 - (-16)/(-7) and y?
4186
Let f = 181401 + -900806/5. Let a = -273161/220 + f. Find the common denominator of -49/3 and a.
132
Let y = 16729/28 - 2369/4. Let g = 193 + -137. Find the common denominator of y and 2004/g - (-4)/(-14).
14
Let y(p) = p**3 + 3*p**2 - 7*p - 9. Suppose 9*s - 77 = 4. Suppose 5*g + t + 20 = 0, -t - s = 3*g + 3. What is the smallest common multiple of 33 and y(g)?
33
Calculate the common denominator of (-12190)/(-636) - (6 - 1) and 10/55 - (-1)/(3938/(-397)).
1074
Let n = -482 + 538. Suppose 3*c = -11*c + n. Calculate the lowest common multiple of 3 and c.
12
Let x(n) = 3*n + 18. Let v be x(-8). Calculate the common denominator of (v - -7) + 78/(-336) and -43/44.
616
Let f = 71429393/318 - 224621. Calculate the common denominator of -137/30 and f.
1590
What is the common denominator of -53/2057 and ((-56)/(-175))/(-4) + 4753/(-130900)?
8228
Suppose -28*m = -24*m + 32*m - 864. What is the least common multiple of 396 and m?
792
Let h = 160211 + -97568452/609. What is the common denominator of h and 55/126?
3654
Suppose -2*h = -5*t + 568, -2*t - 17*h = -15*h - 230. Calculate the lowest common multiple of 22 and t.
1254
Let f = 5528867/70 + -78982. What is the common denominator of (-40)/35*6/28 and f?
