Let l = -156583/1588248 + -1/10449. What is the common denominator of -103/38 and l?
152
Let u(i) = i**2 - 38*i - 320. Calculate the least common multiple of u(-8) and 132.
528
Suppose -2*v = -6*v - 36. What is the lowest common multiple of -1 + 3/(v/(-12)) and 1?
3
Calculate the least common multiple of 7100/30*24/20 and 8.
568
Calculate the smallest common multiple of ((-3 - -23)/4)/((-1)/(-1)) and 9.
45
Let a be (-2)/6 - 101086/(-48). Let o = -2099 + a. Let g = -73841/25136 - -1/6284. Calculate the common denominator of g and o.
16
Find the common denominator of 0 + -6 - (-1170)/192 and -13/12.
96
Suppose -5*s + 30 = -4*s - 2*n, -2*s + n = -45. Calculate the smallest common multiple of 16*7/((-7)/(-1)) and s.
80
Suppose 15*r + 4*a + 199 = 18*r, -5*r - 3*a = -322. Calculate the least common multiple of r and 6.
390
Let d = -142 - -634. Calculate the lowest common multiple of d and 12.
492
Let v(h) = h**2 + 6. Let o be v(0). Suppose i - o*i + 100 = 0. Calculate the lowest common multiple of i and 20.
20
Let q = 9 + -6. What is the lowest common multiple of 27 and 30*q + -2 + 2?
270
Let n = 3236 + -64769/20. Calculate the common denominator of n and (-4)/(-6) + (-25)/2.
60
Let c(x) be the second derivative of -x**4/12 + 5*x**3/3 - 4*x**2 + 7*x. Calculate the least common multiple of c(9) and 1.
1
Let j = -531 + 861. Calculate the least common multiple of 88 and j.
1320
What is the lowest common multiple of 2 and (3 + 3)*(1 - -1)?
12
Suppose -u = -2*u + 3. Suppose u*x - 12 = 0, 6 + 42 = 2*b + x. Calculate the smallest common multiple of b and 14.
154
Suppose -152 - 640 = -18*o. What is the least common multiple of 16 and o?
176
Let o = 61457/21 + -2924. Let j = -27137/21 - -1291. What is the common denominator of o and j?
21
Let h(c) = -c**3 - c**2 + c - 1. Let o be h(0). Let v = 8 + -6. What is the least common multiple of 7 and (v - (-10)/(-1))*o?
56
Let c = 421/4 - 112. Calculate the common denominator of c and -101/8.
8
Let p = -79075/12 - -6578. Find the common denominator of p and 47/13.
156
Suppose -450 = h - 462. Calculate the lowest common multiple of 62 and h.
372
Let o = -3954 - -19708/5. What is the common denominator of o and -9/1201?
6005
Let v(n) = -n**3 - 5*n**2 + 15*n + 7. Let i be v(-7). Calculate the least common multiple of 70 and (i - 2)/(-2 - -1).
70
Suppose -n = n - 1150. Let d = 400 - n. Calculate the common denominator of 2/8 + d/36 and 95/14.
126
Let q be 3/15 + 2656634/180. Let k = q - 14767. What is the common denominator of 6/18 + (-113)/(-12) and k?
36
Suppose 0 = -4*z + 12, -113 = 2*c - 6*c + 5*z. Let l be 3/(-1884)*c/(-30). Let k = 4429/942 - l. Calculate the common denominator of k and 115/18.
90
Let a = -45199188/193 - -234192. Let n = a - -15103/6562. What is the common denominator of -51/16 and n?
272
Let y = -2883/574 - 84/41. Find the common denominator of y and -121/12.
84
Calculate the common denominator of -167/42 and (12/(-182))/((-32)/(-80)).
546
Suppose -a - 6 - 42 = 0. Let l = -30 - a. What is the smallest common multiple of 46 and l?
414
Suppose -28 = -a + 4*l - 8*l, 3*a + l - 73 = 0. Calculate the smallest common multiple of (-2 - (-40)/35)/(-8 + 670/84) and a.
72
Let x(d) = d**3 + 5*d**2 + 3*d. Let r be x(-3). Suppose 33 = 3*k + r. Calculate the least common multiple of ((-2)/3 - 0) + ((-2080)/60)/(-13) and k.
8
Suppose -3*a + 4*a - 2 = 0. Suppose 7*c = 82 + a. What is the smallest common multiple of c and 33?
132
Let n(q) = -q**3 + 6*q**2 - 5*q - 9. Let v be n(6). Let o be 2/8 + (-45)/36. Find the common denominator of 120/192*(v - o) and 103/14.
28
Let c be ((-6)/(-9) + 1)/((-5)/(-6)). Suppose -c*h = 11*h - 117. What is the least common multiple of h and 9?
9
Let b = -3 + 1. Let c(u) = -u + 2. Let s(j) = j**3 - 16*j**2 + 40*j - 12. What is the lowest common multiple of s(13) and c(b)?
4
Find the common denominator of 6/(-9) + (-762)/216 and 71/8.
72
Let p = -3784 + 6634. Let b = 15766637/8 + -1967987. Let c = b - p. Find the common denominator of -59/8 and c.
8
Suppose -14 = 4*m - 14. Let r = -3/20479 + 2109403/450538. Calculate the common denominator of (-15)/(((-1)/2 - m)*4) and r.
22
Let s = 5897/1140 - 7/57. Find the common denominator of s and ((-12)/16 - -1)/(9/(-78)).
60
Let u(x) = x**3 + 8*x**2 + 6*x + 4. Let c be u(-7). Find the common denominator of (c/3 + -4)/(8/(-19)) and 8/21.
168
Let w(i) = -4*i + 34. Let u be w(8). Find the common denominator of 15/(-18)*6/u and 139/48.
48
Let a be (-8)/(-32) + 117/12. Suppose -24*s + a = -19*s. What is the smallest common multiple of s and 50?
50
Suppose w - 27 = 5*j, 9 + 72 = 3*w - 5*j. Let b be 1/3 + 234/w. What is the lowest common multiple of 8 and (6/b)/((-2)/(-3))?
8
What is the least common multiple of (1*(-12)/(-10))/((-117)/(-13650)) and 12?
420
Let c(n) = n + 1. Let b be c(1). Calculate the least common multiple of (2 + -3)*-5*(-48)/(-40) and b/(-8) + (-84)/(-16).
30
Let m(g) = g**2 - 2*g. Let p be m(2). What is the smallest common multiple of (-11 - -11)/(p - 1) - -2 and 20?
20
Let a = -402 + 418. What is the lowest common multiple of 522 and a?
4176
Suppose 314 = 2*d - 0*d. Let j = -85 + d. Calculate the smallest common multiple of 20 and j.
360
Suppose 0 = -4*y - 2*a + 78, y + 539*a = 542*a + 9. What is the lowest common multiple of 42 and y?
126
Let u = 63 - 29. Suppose -u = -y + 5*g, 29 - 107 = -2*y + 5*g. Let d = -24 + y. What is the least common multiple of 8 and d?
40
Suppose -3 = 3*u - 2*u. Let x = 4 - u. Calculate the smallest common multiple of x and (10/4)/((-4)/(-16)).
70
Let t be 20/9 + 2/(-9). Find the common denominator of ((-2)/(-12))/(121/(-99)) and ((-7)/(-16))/(t/28).
88
Suppose 0 = -0*q + 2*q + 3372. Let w = q - -10183/6. Find the common denominator of w and 93/16.
48
Let f be 76/6*(-18)/(-12). Suppose -4*j + 4 = -68. What is the smallest common multiple of j and (-1 - -4) + f + 6?
252
Let j = 124/51 + -7984/2193. Find the common denominator of j and (2/(-14))/((-1)/(-34)).
301
Let p = -21218 - -445664/21. Calculate the common denominator of p and 131/42.
42
Let y(u) = u**3 - u**2 - u + 7. Let i(j) = j - 5. Let p = -7 - -12. Let b be i(p). What is the smallest common multiple of y(b) and 3?
21
Let a = 3886023704133/6550 - 593286066. Let h = 1/3275 + a. What is the common denominator of h and -8/9?
90
Let u(h) = -h**3 + 4*h**2 + 4*h - 6. Let s = -3 + -8. Let r = -7 - s. Calculate the least common multiple of 5 and u(r).
10
Let n = -1/3582 + -12437/1791. Calculate the common denominator of n and 111/(-96)*-4 + 6.
72
Calculate the smallest common multiple of 9 and 3024/36*(-1)/(-2).
126
Suppose 51*h = 77*h - 3016. What is the smallest common multiple of h and 24?
696
Let b = -191191/103120 - 2/19335. Calculate the common denominator of b and -67/12.
48
Let w = -6 - -6. What is the common denominator of (-2)/(-5)*405/48 and (w - 1)*86/44?
88
Suppose 483*v = 487*v - 20. Calculate the lowest common multiple of 135 and v.
135
Let b = 10507/8 - 1316. Let n(g) = 30*g**2 - 7*g - 7. Find the common denominator of n(-1) and b.
8
Let c = 3705 + -59319/16. Find the common denominator of 41/244 and c.
976
Let w be (-8)/(-56) + (-72)/14. Let i be 5*((-23)/w - 4). Suppose -i*f + 2 = -2*f. What is the least common multiple of 3 and f?
6
Let x(f) = -f**2 + 4*f + 1. Let n(q) = -q**2 + 5*q + 3. Let i be n(5). Let b be x(i). Calculate the common denominator of -27/4 and 1 - b - 224/(-12).
12
Let i be ((-1435708)/50)/((-102552)/40). Let n = i - -2/12819. Find the common denominator of 20/11 and n.
55
Calculate the common denominator of -37/492 and 77/35*(-35)/(-4).
492
What is the common denominator of 41/91 and 346/560 - (-5)/75*6?
728
Let q be 18*((-5)/3)/(-5). Let k be 2/(-3)*q/4. Let a(b) = 3*b**2 + 1. Calculate the least common multiple of a(k) and 5.
20
Suppose t = -7*t - 24. Calculate the common denominator of (-2)/t - 2740/(-240) and -1/4.
12
Let p = 72 + 1. What is the common denominator of 7 - 7/((-28)/71) and (1/2)/(5/p)?
20
Let y = 121 - 107. What is the least common multiple of 64 and y?
448
Let r be (-10)/(-5) + (-39)/1. Let z = r - -41. Calculate the lowest common multiple of z and 42.
84
Let p(h) = 23 - 13 + 24 + 2*h. Suppose y = -y + 40. Calculate the lowest common multiple of p(-16) and y.
20
Let n be (0 - -2) + (-2