4
Let v = 255/7 + -209/14. Let h(a) = -a**3 + a**2 - a - 4. Let i be h(0). Find the common denominator of v and i/(-22) + 489/(-88).
8
Find the common denominator of (-134)/165 - 2*4/(-8) and -41/15.
165
Let u(o) = 2*o**2. Suppose -24*w + 256 = -80. What is the lowest common multiple of w and u(-2)?
56
Calculate the common denominator of -23/27 and ((-6)/(-108))/((-74)/(-534)).
1998
Let w = 5 - -27. Calculate the lowest common multiple of w and 16.
32
Let a(t) = -41*t**2 + 25*t + 3. Let r be a(-12). Let i = 61941/10 + r. Calculate the common denominator of 19/20 and i.
20
Let d(b) = 0*b + 49 + 5*b - b + 2*b. What is the lowest common multiple of 27 and d(-8)?
27
Let o be 2/((-8)/(-12)) - -357. Let q be (-8)/(-10) + o/50. Let x = 8 + q. What is the smallest common multiple of x and 20?
80
Let f = -22 - -7. Calculate the common denominator of 9/(-5)*f/8 and 0/(-1) - 3752/(-112).
8
Let x = -1/47331 + 4780499/3218508. Find the common denominator of x and 127/30.
1020
Let g = -930 - -20513/22. Let q be 2031/156 - (-2)/(-8). Let f = 2443/286 - q. Calculate the common denominator of g and f.
22
Calculate the smallest common multiple of 56 and (528/(-42))/(8/(-56)).
616
Suppose -3*w + 6*w = 30. What is the lowest common multiple of ((6 - 1)/(50/20))/1 and w?
10
Calculate the common denominator of -73/18 and -1 - 10*3/384.
576
Let c = 2137 - 19252/9. Calculate the common denominator of c and 17/(-5) + 10 + 0 + -17.
45
Let i be 75969/270 - (-2)/15. Let a = i + -317. Let y = -32/381 - 19745/5334. What is the common denominator of y and a?
14
Let r = -136 - -152. Calculate the least common multiple of 654 and r.
5232
Suppose -1 = i - 9. Suppose -i = -w + 2. Suppose 7*n - 74 + 32 = 0. Calculate the smallest common multiple of n and w.
30
Calculate the smallest common multiple of 16 and (93 - (-1 - -1))*(-148)/(-111).
496
Let d(h) = -h - 8. Let n be d(-8). Suppose 4*j - k - 12 = n, k + 4*k = -20. Calculate the lowest common multiple of 4 and j.
4
Let f = -82 + 91. Calculate the lowest common multiple of f and 21.
63
Suppose -f = -2*f - 4*j - 5, 0 = -3*j - 3. Suppose 140*w - 132 = 134*w. What is the least common multiple of -24*((-2)/f)/(-4) and w?
132
Suppose -7*y + 3*y = -1744. Suppose -3*c + 353 = -151. What is the common denominator of -32/11 and (-4)/24 + y/c?
77
Let j = -6202/9 + 62551/90. Let o be (-514)/6*9/3. Calculate the common denominator of o/(-56) + (-4)/(-14) and j.
40
Let p = -349 - -359. Calculate the smallest common multiple of p and 183.
1830
Let h = -24667 - -24724. Calculate the smallest common multiple of h and 7*(37/7 + -1).
570
Let n(i) = -i**3 + 2*i**2 - 2*i + 2. Let r be n(2). Let s be (r/(-4))/(6/(-144)). Let l = -5 - s. What is the lowest common multiple of 3 and l?
21
Let f = 1/2762 + 40045/11048. What is the common denominator of f and (7 - 6) + 490/(-312)?
312
Let f = -5 + 8. Suppose f*u - 1 - 29 = 0. Suppose 230 - 90 = 7*y. What is the lowest common multiple of y and u?
20
Let i = 4 - -14. Suppose -i = -z - 0. Calculate the least common multiple of z and (32/(-20))/(2/(-10)).
72
Let o = -7333 - -58749/8. Let d = -309683/16158 + -2/2693. Find the common denominator of o and d.
24
Let g = 16 + -12. Let v = 31 - g. Calculate the lowest common multiple of v and 7.
189
Let l = -1489 + 6025/4. What is the common denominator of l and -63/4?
4
Suppose 10*h + 2619 = 2719. What is the lowest common multiple of h and 56?
280
Let k = -37 - -37. Suppose k*g + 4*g - 24 = 0. What is the smallest common multiple of 8 and g?
24
What is the common denominator of ((-376)/16 - 11)/((-3)/(-4)) and 101/20?
20
Let l = -1161 - -8102/7. Find the common denominator of l and (25 - 1)*(-9 + (-349)/(-39)).
91
Let w = -15/4 - -17/4. Let y = w + -2. Let h = 61/3 - 619/30. What is the common denominator of h and y?
10
Let m(p) = 14*p - 162. Calculate the lowest common multiple of 226 and m(12).
678
Let v = 12 + -13. Let p be ((-41)/(-2) + v)*182. Let j = p + -21355/6. Calculate the common denominator of j and -19/16.
48
Let t(j) be the second derivative of j**4/12 - 2*j**3/3 + 7*j**2/2 - 14*j. Calculate the least common multiple of 6 and t(3).
12
Suppose 4*i + 68 = -4*j, 4*i - 3*j = -0*j - 68. Let u(b) = -b**3 - 17*b**2 + 8. Calculate the least common multiple of 8 and u(i).
8
Let o = 50552/21 - 2408. Let h = o + -25/7. Calculate the common denominator of 47/12 and h.
12
Let o = 11 - 19. Let k = o + 7. What is the least common multiple of 8 and 232/32 + k/4?
56
Let q be (-4)/(-5) - 2/(11304/18381). Let w = q + 1/471. Let f = 87321/7352 - 2/919. What is the common denominator of w and f?
40
Let f be (914/(-1))/((-150)/265). Let y = 1614 - f. Calculate the common denominator of y and 22/9.
45
Let c = -7287/7568 - -12/473. Find the common denominator of -63/4 and c.
16
Find the common denominator of -6 - ((-354)/(-16))/(-2*(-30)/(-40)) and (-19)/3 - (-2)/4.
12
Let r = 527827166092953/75350 - 7005005521. Let g = 1/3425 + r. Find the common denominator of 6105/450 - 6/(-10) and g.
66
Let k = 46 + -88. Find the common denominator of -133/36 and k/(-105) + (-73)/(-20).
180
Let d be (-4)/(-24)*69954/(-16). Let n = -734 - d. Calculate the common denominator of n and -61/18.
144
Let n(o) = 6*o**2 - 20*o - 21. What is the smallest common multiple of n(5) and 319?
319
Suppose 3*b - 16 = -1. Suppose -4*g + 27 = -g + b*y, 5*g = -5*y + 55. Calculate the smallest common multiple of g and 64.
448
Let q(s) = 2*s**2 + 1. Suppose -f - 2*c = -7, 3*f - 1 = 2*c + 4. What is the lowest common multiple of f and q(-1)?
3
Find the common denominator of 2/27 and -3 - (-2936)/1008 - 2/6.
378
Let p = -18359/8 + 2300. Calculate the common denominator of 1/112 and p.
112
Suppose 35*n - 40*n + 150 = 0. What is the smallest common multiple of 33 and n?
330
Suppose -185*j + 9680 = -175*j. Calculate the least common multiple of j and 12.
2904
Let w(n) = n**3 - 4*n**2 + 1. Let s be w(4). Suppose a + 4*v - 1 = s, 4*v = -20. Calculate the least common multiple of (2/5)/((-2)/(-110)) and a.
22
Let i = -40363/495 - -736/9. What is the common denominator of i and -53/30?
330
Calculate the lowest common multiple of 16 and 26*1*(-31 + 33).
208
Let f = 73307353/316 + -231985. Find the common denominator of 89/20 and f.
1580
Let l(i) = i**3 - 9*i**2 + 11*i - 16. Let v be l(8). Let k be 2*1 + 8*-1. What is the smallest common multiple of (v/k)/(2/(-6)) and 2?
4
Suppose 0 = 3*c + 4*j - 31, 3*c - 2*j - 49 = 3*j. Let k = 17 - c. What is the smallest common multiple of 14 and k?
28
Let f(n) = -n**2 - n + 3. Let g be f(0). Suppose 0*s + 5 = s, 3*z = g*s - 57. Let c = -10 - z. Calculate the smallest common multiple of c and 18.
36
Let x = 5/8 + 13/56. Find the common denominator of -43/3 and x.
21
Suppose -30822 = 2*l + 4*l. Let o = l - -51427/10. Find the common denominator of -59/2 and o.
10
Suppose 0 = 4*s - 3*d - 5070 - 74785, 5*d - 19981 = -s. Let q = -599137/30 + s. Find the common denominator of -19/12 and q.
60
Let c be ((-24)/(-9) + -2)*-3. Find the common denominator of -47/8 and (-3 - 595/(-100))*c.
40
Let p(m) = 2*m**3 - 31*m**2 - 93*m + 58. Suppose v + 5*u - 43 = 0, 2*v + 2*v - 80 = 3*u. Let c = v - 16. Calculate the smallest common multiple of c and p(18).
28
Let s be (-15)/2*1456/24. Find the common denominator of (-2 - 2) + s/30 and 27/2.
6
Let i = -4877 - -58471/12. Calculate the common denominator of i and -163/66.
132
Suppose 5*z - 140 = -5*f, f = 5*z + 33 + 7. What is the lowest common multiple of f and 18?
90
Let a = -3 + 9. What is the smallest common multiple of 72 and a?
72
Suppose -2548*h + 72 = -2542*h. What is the least common multiple of h and 494?
2964
Find the common denominator of -29/44 and (86*2/(-4))/(2 - 16).
308
Let a(h) be the third derivative of h**5/60 - h**4/3 + 5*h**3/2 - 11*h**2. Calculate the smallest common multiple of 2 and a(7).
8
Let q = 143 - 83. What is the smallest common multiple of 54 and q?
540
Suppose 0 = j - 4*h - 4747, -5*j + 23735 = 4*h - 0*h. Let o = -95049/20 + j. Find the common denominator of 51/22 and o.
220
Let r be 7107/(-1)*(-47)/(-949). Let j = r + 1043/73. Let t = j - -334. Find the common denominator of t and -44.
13
Let c = -1564/2895 + 4/579. Let g = -2/15 - c. Calculate the common denominator of -79/10 and g.
10
Let m be (39033/(-90))/