9/48.
432
Let b = -4719 + 4879. Calculate the least common multiple of 12 and b.
480
Let p = 3792603 + -11650876565/3072. What is the common denominator of -33/320 and p?
15360
Calculate the least common multiple of 64 and 7/1 + (-13 - (-355 - -13)).
1344
Let d = -29065 + 68796857/2367. Let h = d + 6941/189360. What is the common denominator of h and 23/60?
240
Suppose -72 = 5*p + 3*p. Let a be p*2/12*16. Let x = -20 - a. Calculate the lowest common multiple of 50 and x.
100
Let k be 0 + ((-1588)/(-20) - 4/10). Let f = 69 - k. Find the common denominator of 4/f - 4466/560 and 47/2.
8
Suppose -6*s + 1133 = 36*s + 61*s. What is the least common multiple of 482 and s?
5302
Let m = 447583/293964 - -1/6681. What is the common denominator of m and 61/1023?
4092
Find the common denominator of 37/108 and ((57/378)/(-19))/(24/(-1876)).
108
Let h be (-6)/42 - 44/(-14). Suppose -2*a + 6 = 0, -h*f = -6*f + 5*a + 39. Calculate the least common multiple of f and (-456)/(-15) - (-6)/(-15).
90
Let m(h) = 4*h**3 - 15*h**2 - 19*h + 99. Calculate the lowest common multiple of 429 and m(4).
429
Suppose 0 = 4*l - 4*n - 60, 14*l + 4*n + 40 = 16*l. Calculate the smallest common multiple of (-6)/l - 4047/(-95) and 14.
42
Let p(z) = -z**2 + 8*z + 2. Let q = 46 - 42. Suppose 2*g + 32 - 8 = 2*m, -q*g + 8 = 0. Calculate the lowest common multiple of m and p(7).
126
Suppose -28*f - 38*f = -40*f - 156. What is the least common multiple of f and 964?
2892
Calculate the smallest common multiple of 18 and (1/6 - 775/186) + 6.
18
Let r = 133465/7116 + -10/1779. Let m be 2*-24 - 0/1. Calculate the common denominator of r and 93*(m/27 + 2).
12
Let u(p) = 2*p**3 - 3*p**2 + 5*p + 2. Calculate the least common multiple of u(4) and (100/(-150))/(17/(-1734)).
204
Let z(r) = 50*r**2 - 4*r + 4. Let q be z(1). Calculate the common denominator of (-208)/q + 27/9 and 19/50.
50
Suppose -3*k + 38 = -34. Calculate the smallest common multiple of (245/(-70))/(11/(-22)) and k.
168
Let j be -38*(-2 + 6/2). Let a = j + 41. Calculate the lowest common multiple of 10 and a/7 - 548/(-28).
20
Find the common denominator of 67/8 and 3/2 - (61404/5328 + -10).
888
What is the common denominator of 34/20 - (-37 + 6579/172) and -103/2625?
10500
Let u(j) = 207*j**2 + 2*j - 1. Let n be u(1). Let o = -4378/21 + n. Calculate the common denominator of 10/9 and o.
63
Suppose -10*q + 3 = 43. Suppose 0 = -r + 15 - 1. What is the smallest common multiple of r and 1/q*-1*8?
14
Suppose -21*a = -9*a. Suppose a = -3*v + 202 - 73. Suppose -16 = 3*w - v. Calculate the lowest common multiple of 46 and w.
414
What is the common denominator of -53/406 and 2 + (-21)/(-14) + 14535/(-5040)?
3248
Let q = 20333/4 + -4879867/960. Find the common denominator of q and 10/9.
2880
Let v = 4035 + -3753. What is the least common multiple of v and 1316?
3948
Let d be (-1)/(-1)*-3*-1. Suppose 5*b = d*l - 14, b - 4 = -b. What is the smallest common multiple of l and (-5*11/(-66))/((-5)/27)*-2?
72
Let t(k) = k**2 + 10*k - 2. Let l be t(-10). Calculate the common denominator of -87/8 and (-36)/(-63) - (l - (-162)/(-231)).
88
Let g(f) = 138*f - 2. Let m be g(4). Suppose -13*t = -2*t - m. Let n = t + -47. Calculate the smallest common multiple of n and 2.
6
What is the least common multiple of (3/2)/((-53235)/(-1612) - 33) and 3286?
3286
Let g = -1739/126 + 121/9. Suppose z + 16095 = -2*z. Let l = -42843/8 - z. Find the common denominator of g and l.
56
Suppose 8*x - 16 = 24. What is the smallest common multiple of 217 and 3 - (x/(-2) - 6/(-12))?
1085
Suppose 0*v - 3*v = -57. Suppose 45 = -5*j - 4*j. Let h = 5 - j. Calculate the least common multiple of h and v.
190
Let r be -2 + 19*2968/28208. Let z = 118181/70520 + r. Calculate the common denominator of 1/15 and z.
120
Let p be 1 - (-1 + 1)/1. Let x(f) = -11*f**2 + 63*f - 95. Let t be x(-7). What is the lowest common multiple of 10 and (p/(-3))/(-6 + t/(-180))?
60
What is the smallest common multiple of 0 - 21/(112/(-14) + 109/14) and 516?
25284
Let f(c) = 10*c + 1. Let g be f(6). Let v = -249551/44060 + -410/2203. What is the common denominator of v and g/64*(-1 + 3)?
160
Let i be (4*1)/(2 + 0). Suppose 4*c + i*w = 82, -3*w - 54 - 65 = -5*c. What is the smallest common multiple of 4 and c?
44
Find the common denominator of -15/8 and (-1)/30*36 - 3/(-13).
520
Let h be (44/112*4)/(20/266). Let p = 118/5 + h. Find the common denominator of 475/(-4)*(-6)/45 and p.
6
Let v be 13118/91 - (-4)/(-26). Calculate the least common multiple of v/32*((-6)/3 - -14) and 84.
756
Suppose -x + 60 + 4 = 0. Suppose -5*z + 312 = -2*j, 8*z + 3*j = 9*z - 52. What is the least common multiple of z and x?
64
Calculate the common denominator of (-4681)/1736 + ((-20)/(-5) - 1)*1 and 17/644.
1288
Let d = 293 - 288. Suppose 5*g = 2*n + 23, 3 = 4*g + n - d. What is the lowest common multiple of g and 261?
261
Let d(k) = 21*k - 13. Let v(g) = 5*g + 34 + 5*g - g**3 - 8*g**2 - 6*g. Calculate the smallest common multiple of v(-8) and d(9).
176
Let w(t) = -25 - 4 - 4 - 4*t + 5*t. Let r be w(11). What is the common denominator of 4/r + (-4405)/(-330) and 173/30?
30
Suppose 5*d + 2*h = 90, 4*d + 3*h - 4*h = 59. Suppose 6 = 5*l + 26, v + d = l. What is the common denominator of 2825/v*1/25 and -71/14?
140
Suppose -15 = -5*x, -22*r + 18*r = -5*x - 193. What is the lowest common multiple of r and 156?
156
Calculate the common denominator of 267/(-810)*(12 - (-912)/(-80)) and 149/6.
450
Calculate the least common multiple of ((-3)/9 - -2)/((-46)/(-2484)) and 5.
90
Let a = -2269/390 - -18/13. Calculate the common denominator of 63/1576 and a.
23640
What is the smallest common multiple of 75 and 48/(-504)*3 + 2102/7?
300
What is the common denominator of -43/180 and (-474)/(-112)*162/(-243)?
1260
Let p(y) = 2*y**3 + 3*y**2 - 5*y - 5. Let x be p(-2). Suppose 8*n = 3*n + 120. Calculate the lowest common multiple of x - -1 - (-4)/(10 + -6) and n.
24
Let s(c) = 2*c**2 - c. Calculate the least common multiple of s(-3) and (135/6)/((-81)/(-54)) - (5 - 2).
84
Let o(b) = -b**2 + 23*b - 6. Suppose -25*v = -30*v + 110. What is the least common multiple of o(v) and 10?
80
Let p = -47687/5528 - -1/691. What is the common denominator of (5/(-24))/((-21)/(-2) - 11) and p?
24
Suppose -8*v = -v - 3346. Suppose 3*k + 25 = 3*r - 269, 2*k + v = 5*r. Let p = r - 92. What is the least common multiple of p and 30?
30
Calculate the smallest common multiple of 20058 and (-1 - ((-58)/10 + 6))/(3/(-10)).
40116
Let u = -137578/79 + 1741. Let h = u - -2870/2133. Calculate the common denominator of -79/39 and h.
351
Let y be 0 + 330 + -72 + 76. Suppose 35*t + y - 1209 = 0. What is the lowest common multiple of 55 and t?
275
Let t be (-1002)/8*24/(-9). Suppose 0 = 4*v - 4*c - 164 + 504, -4*v - 2*c - t = 0. Calculate the smallest common multiple of ((-8)/6)/(8/v) and 12.
84
Suppose -2*b + 16 = 2*o, -4*b - 5*o + 26 = -11. What is the common denominator of 2 - b - 61/12 and (-31439)/(-18774) + (-168)/(-98)?
36
Let y(g) = -2*g - 1. Let z be y(-1). Calculate the common denominator of z*-3*52/(-48) and 66/(-20)*2065/708.
8
Suppose -4*n + 3*d + d = -4408, -4*d - 39672 = -36*n. What is the smallest common multiple of 399 and n?
23142
Suppose -2*p + 1 = 5*m, 4*m - p = 2*p + 10. Let j = -83/7176 - -1877/7176. What is the common denominator of ((-490)/(-72))/7 + m and j?
36
Let s = 32998/9 + -29664788/8091. What is the common denominator of s and -8/93?
2697
Let s = 4/134052335 + -2351680119209/211266479960. Let o = 5/788 + s. Find the common denominator of 67/10 and o.
40
Let y = 5299/1340 + -7/67. Let c = 21322/11 - 1152301/594. Find the common denominator of c and y.
540
Let b be (-673695)/220220 + (-4)/(-7). Let f = b + 31/26. Find the common denominator of -41/198 and f.
396
Find the common denominator of (-18)/(-12)*(-7 - 1851/(-306)) and 51/104.
1768
Suppose 0 = -3*t + 2*q - 40872 - 27517, -22798 = t + q. Calculate the common denominator of 62/54 - (-1 - -1) and t/714*(-14)/72.
216
Let i = -519729 + 140326661/270. Find the common denominator of i and -79/324.
1620
Let f = -37342165/876 + 42628. What is the common denominator of f and -67/6?
876
Let a(z) be the second derivative of 3*z**3/2 - 47*z**2/2 - 25*z. Calculate the least common multiple of a(6) and 2