 lowest common multiple of (4 - (y + -4))*30/7 and 6.
30
Let y be (-10)/(((-1)/3)/(4/(-24))). Let f(g) = g**3 + 6*g**2 + 2*g + 3. Calculate the lowest common multiple of f(y) and 12.
36
Find the common denominator of -85/96 and (-2445)/(-1620) - (-2)/(-3).
864
Let o = 4635/44 + -441/4. Calculate the common denominator of 31/26 and o.
286
Let p be (6/4)/(2 - 65/40). Suppose 110 = 9*n - p*n. What is the smallest common multiple of n and 2?
22
Let u = 20 + -34. Let d = -306 - -281. Let a = u - d. Calculate the least common multiple of 7 and a.
77
Suppose 6*j + 64 = 2*j. Calculate the least common multiple of 48 and 1 + -2 - (j + 0 + -3).
144
Suppose 24 = -n - 3. What is the lowest common multiple of (n/6)/(9/(-12)) and 56?
168
Let z be -4 - -3 - (-16 + 3). Suppose 7*c + 110 = z*c. What is the smallest common multiple of c and 20?
220
Let f = 1103/15 + -190/3. Calculate the common denominator of f and -23*2/208*-6.
260
Suppose 0 = -w - o - 4, -3*w - 2*o = w + 12. Let s be (-6 - w)*(-1)/2. Let c = 0 + s. Calculate the lowest common multiple of c and 1.
2
Suppose -4*v = -4*x + 152, -4*v = 3*x + 5 - 119. Calculate the lowest common multiple of x and 14.
266
Suppose 67*q = 6 + 396. Suppose -12 - 33 = -5*c. What is the lowest common multiple of q and c?
18
Let d = -1149/8 + 28829/200. Calculate the common denominator of d and 37/75.
75
Calculate the common denominator of 1/219 and 40/50 + -2 + (-1653)/(-315).
1533
Calculate the common denominator of -43/20 and 2 + -2 + (-3)/(-30)*53.
20
Suppose 5*w - 3*p = -34, 3*w + 30 = 7*p - 2*p. Let g(r) = -r**2 - 6*r + 5. What is the least common multiple of g(w) and (-420)/(-40) - (-3)/6?
110
Let p(m) = 8*m + 4. Suppose -5*i - f = -1713, -2*f + 226 = -2*i + 904. What is the least common multiple of p(2) and i?
3420
Let l be (-1)/2*32/(-4). Suppose -4*c + 12 + l = 0. Let m(b) = 5*b**2 + 6*b + 8. Calculate the least common multiple of c and m(-2).
16
Let w = -8676610/294423 - -105/11546. Let q = w + 338/51. Find the common denominator of q and 222/7 + 4/14.
6
Let s(g) be the second derivative of 2*g**4/3 + g**3/2 + g**2 - 5*g. Let o(k) = -2*k - 3. Calculate the least common multiple of o(-3) and s(-1).
21
Let o = -166/297 + 20/27. Suppose 2*m - 2*s - 119 = -13, -m - s + 61 = 0. Suppose -5*r + m = -18. What is the common denominator of r and o?
11
Suppose -2*g - 32 = -4*g. Let n = -457 + 493. Calculate the smallest common multiple of n and g.
144
Calculate the lowest common multiple of -1*5 - (-88 - 143) and 16.
1808
Suppose -3*g = -4*h + 422, h - 3*g - g - 112 = 0. Calculate the smallest common multiple of 143 and h.
1144
Let g(w) = 3*w - 3*w**2 + 2*w + 2*w**2 - 4*w. Let l be g(2). Calculate the smallest common multiple of 14 and (12 - l - 2) + 2.
14
What is the common denominator of (86/(-946))/((-17)/59) and 73/10?
1870
What is the common denominator of -87/28 and 10/(36400/2428) + (-4)/20?
364
Suppose -2*d + 3*d - 18 = 2*r, 0 = 4*d + 4*r - 96. What is the common denominator of (-32)/16 - 53/d and (1/3)/(40/(-474))?
220
Let a(t) = -t**3 + 8*t**2 + 9*t - 6. Let c be a(8). Suppose -c = z - 4*z. Calculate the least common multiple of z and 17 + 1 + (4 - 2).
220
Let y = 511354 - 159542303/312. What is the common denominator of y and -82/117?
936
Let m = 3 + 6. Suppose -2*g = -m - 19. What is the least common multiple of 11 and (-4)/g + 184/56?
33
Suppose -y = 3*y. Suppose 3*w + 17 - 71 = y. Suppose -f = -3*f + w. What is the lowest common multiple of 6 and f?
18
Let x = 646453/45 + -14365. Calculate the common denominator of 61/24 and x.
360
Let a be (((-15)/(-18))/5)/(1838/(-30351)). Let d = a + 2/919. Calculate the common denominator of d and 15/32.
32
Let v(n) = n + 3. Suppose 5*c - 14 = 11. What is the smallest common multiple of v(c) and 16?
16
Let t = -640 + 772. Calculate the smallest common multiple of t and 36.
396
Let y = 3068 + -3056. What is the smallest common multiple of y and 0 - (2 - 2) - -44?
132
Let a(r) = -33*r - 917. Calculate the smallest common multiple of a(-28) and 100*(1/2 - 0).
350
Calculate the least common multiple of (-1 - (-6)/12) + (-3570)/(-12) and 270.
2970
What is the common denominator of 29/171 and 447/18 + -43 + 35?
342
Suppose 0 = -162*c + 156*c + 18. Let x = 26 + -18. Calculate the smallest common multiple of x and c.
24
Suppose 41 = 4*c - 5*w, -35 = -4*c + 2*w - 9. Let y be c/(-18) - 440/45. Calculate the common denominator of (69/(-15))/((-8)/y) and 11.
4
Find the common denominator of 75/14 and (-2)/(-9) + (-1204)/(-1764).
42
Calculate the common denominator of -67/110 and 9/((-135)/(-6)) - 9/180.
220
Find the common denominator of 2/2 + 204/(-18) and 2/(-4)*(-92 - -24).
3
Suppose s = -3*s + 100. Let d = 23 - s. Calculate the common denominator of d/(-18) + (-518)/63 and 65/3.
9
Let s(c) be the second derivative of -c**3/6 - 5*c**2 + c. Let w be s(-11). Calculate the lowest common multiple of (w + (-3)/(-9))*12 and 14.
112
Let x be 1/(-12)*3/(180/(-16221)). Let g = 7929/59120 - -5/1478. Let l = g + x. Find the common denominator of l and -83/8.
24
Let g = 43 + -38. Suppose 5*j - g = 20. What is the smallest common multiple of j and 6?
30
Suppose -3*m - 6 + 0 = 0. Suppose 5*x + 3*f + 157 - 25 = 0, -4*f - 64 = 2*x. Calculate the common denominator of -9/5 and (-100)/x*m/(-3).
45
Let y = -80 + 296. Calculate the smallest common multiple of y and 24.
216
Suppose -12 = -2*o - o, -12 = -4*k - o. Suppose u = k + 4. Suppose u*s - 3*s - 18 = -5*f, -4*s = -f - 47. Calculate the smallest common multiple of s and 3.
33
Let l be (-4)/2 - 11/(22/(-752)). Calculate the common denominator of 8/24 + l/120 and 91/88.
440
Find the common denominator of (-36)/(-4) + (-834)/132 and 39/8.
88
Calculate the common denominator of -79/12 and (-2)/(8/11) + (-70)/105.
12
Let x = 65463 - 8641067/132. What is the common denominator of -17/96 and x?
1056
Let f = 2049 + -2027. Calculate the lowest common multiple of f and 8.
88
Let m = -80920555/112 + 12113817/16. Let p = m + -34617. Let h = -59/21 - p. Calculate the common denominator of -85/16 and h.
48
Let q = -8087/420 - -1/210. Find the common denominator of q and 101/20.
20
Let i(n) = -3*n**3 - 9*n**2 + 3*n. What is the smallest common multiple of i(-4) and 64?
576
Let q = 2791633/48 - 58157. Find the common denominator of -61/20 and q.
240
Find the common denominator of -47/16 and (27/(-2198))/(108/(-126)).
2512
Suppose 0*c - 4*c + 457958 = w, 3*c - 343465 = w. Let m = -1371887/12 + c. Let f = m + -553/3. What is the common denominator of -76/3 and f?
12
Let h(v) = -2*v**2 + 13*v - 12. Let u be h(8). Find the common denominator of (10/u)/(((-42)/(-9))/7) and 57/2.
12
Let d = -43825/4494 + 1260/107. What is the common denominator of d and 41/6?
42
Let x(s) = -s**3 - s**2 + 3*s + 6. Suppose -9*l = 16*l - 9*l. What is the lowest common multiple of 18 and x(l)?
18
Let u = -24 - -15. Let v = -4 - u. Suppose v*d - 8 = d. What is the smallest common multiple of d and 5?
10
Let x = 1414 + -1400. Calculate the least common multiple of x and 2.
14
Let q(w) = 3*w + 24. Let k be q(0). Let m = -18 + k. What is the least common multiple of 8 and m?
24
Calculate the least common multiple of 0 - 420/(-7) - 0 and 36.
180
Suppose -2*v - k = -2, 0 = 5*k + 1 + 9. Let c(r) = -r**3 + 2*r**2 + r + 1. What is the lowest common multiple of ((-2)/(-4))/(7/168*v) and c(2)?
6
Let h(f) = f**2 - 4*f. Let x be h(-4). Let m be ((-14349)/x)/((-49)/28). Let y = m - 2007/8. What is the common denominator of -93/10 and y?
70
Suppose 3*p - 6 = -3. Suppose -5*s + 31 + 4 = 0. Let v = p + s. What is the smallest common multiple of 10 and v?
40
Suppose -88 = -w - w. Suppose 2 - 12 = -f - 3*o, -5*o - 50 = -5*f. Calculate the smallest common multiple of w and f.
220
Let w be 3/9 - (-2 + (-2047)/60). Let t = 51344/1645 - 4/329. Let u = t - w. Calculate the common denominator of u and -71/3.
12
Let r = 106 - 50. Suppose 7*p - 11*p + r = 0. What is the least common multiple of 2 and p?
14
What is the lowest common multiple of 7 - (3 - 8)/(1/3) and (-2)/(-4) - 9/(-6)?
22
Let r = 8 + 23. Let p = -27 + r. Calculate the least common multiple of p and 18.
36
Let v = 2/5777064793 + -457110251774209/81121543823306. Let o = -8/1003 + v. Calculate the common denominator of 154/(-20) - 0 - -1 and o.
