a.
12
Let x(c) = 8*c**2 + c. Suppose 5*h - 132*y = -135*y + 285, h + y = 55. Calculate the smallest common multiple of h and x(4).
660
Let f = 524903/119592 + -3/13288. Calculate the common denominator of f and 89/138.
414
Let a = -430 - -485. What is the common denominator of -57/55 and (-62)/a - -2 - 18/45?
55
Let s(i) = i**2 + 2*i - 6. Let w be s(2). Calculate the smallest common multiple of (-12 - w)*(9 - 10) and 160.
1120
Let w(k) = -4*k**2 + 13*k - 16. Let m be w(14). Let i = m + 619. Calculate the least common multiple of i and ((-5)/(-3))/((-2)/(-6)).
5
Suppose 3*a + 39*u - 43*u = 1568, -1556 = -3*a - 2*u. Calculate the lowest common multiple of a and 624.
3120
Let a = 7474505/56 - 133488. Let s = a - -155/14. Calculate the common denominator of s and -50/29.
232
Let s = -381 - -363. Let n(m) = 8 - 10 + 5*m - m**3 + 20 + 13*m - 17*m**2. Calculate the lowest common multiple of 14 and n(s).
126
Let l be (-1)/2 + 27/6. Let q(r) be the second derivative of r**4/3 - r**3/3 - 7*r**2 + r + 406. What is the least common multiple of q(l) and 6?
42
Find the common denominator of -49/1312 and (-705)/(-1050)*7 + (-4)/(-10).
6560
Find the common denominator of 141/150*(805/230 - (-3)/(-2)) and -33/280.
1400
Suppose 19*j - 17824 = 11*j. Let d = -73543/33 + j. What is the common denominator of 62/9 and d?
99
Suppose f = -3*i - 0*i + 10, -2*i - 4*f = 0. Suppose -21 = 3*d, -3*b + 2048 = 2*d + 1480. What is the lowest common multiple of i and b?
388
Let p = 270791/3 - 129979501/1440. Calculate the common denominator of 113/800 and p.
7200
Let l = -22487/1123773 + 3/12698. Find the common denominator of l and -115/594.
35046
Let o = -135 + 69. Calculate the common denominator of -29/12 and (o/5)/(3 + 82/(-30)).
12
Suppose -2 = -2*a + 2. Calculate the common denominator of (-5705)/(-220) + -4 + 38/(-209) and (56/(-357))/(a/9).
68
Let z be ((-16)/552)/((-142)/(-144) - 1). Let d = z - 303/46. Calculate the common denominator of (-23)/(-1) + (-9)/6 and d.
2
Let f = -30/137 - -5379/7672. Find the common denominator of 2/(30/5 + (-3260)/510) and f.
280
Find the common denominator of -71/324 and (-27)/6*-2 + (-5530)/640.
5184
Let w be (8/6)/(8/636). Suppose 0 = 4*z + 3*i - 29 - 85, i + w = 4*z. Let r(m) = m**2 - m + 27. What is the least common multiple of r(0) and z?
27
Let r be (-2049)/(36/(-304)*3/9). Let w = 3737467/72 - r. Calculate the common denominator of w and 49/12.
72
What is the common denominator of 4 - (-357)/(-72) - (-2)/16 and 83/102?
102
Let b = -3309 - -3345. Calculate the least common multiple of 186 and b.
1116
Let k(x) = -x**2 + 55*x - 65. Calculate the lowest common multiple of 572 and k(52).
4004
Let z = 10/114304853 - 85730811543287/12344924124. Let s = -6944 - z. Find the common denominator of 33/5 and s.
540
Suppose -3*p + 8*p - 55 = 5*m, 0 = -3*p - 5*m + 9. Let x = -1397 + 1399. Let k(n) = 40*n - 76. Calculate the smallest common multiple of k(x) and p.
8
Suppose 249 = 2*k + 5. Let y = 130 - k. What is the lowest common multiple of 238 and y?
952
Let a = -5/127 - 6467/254. Let z = a + 146/3. Calculate the common denominator of 49/27 and z.
54
Let h(w) = 4*w - 12. Let q be 2 + ((-18)/27)/((-4)/78). Let d be h(q). Find the common denominator of (-664)/d + (-1)/1 and -53/22.
66
Let n = -11559/469 - 330/67. Let k be 1 + (-46263)/(-196)*4/(-30). Let x = k - n. Calculate the common denominator of 109/12 and x.
60
Let r(q) = 21*q - 417. Let o be r(20). Suppose 4*i - o*h = 103, -7*i + 8*i + 5*h = -3. Calculate the smallest common multiple of i and -6*(-4)/(2 - 0).
132
Let v be (9 + 0 + -5)/(8/100). What is the common denominator of (v/(-21))/((-28)/(-42)) and 35/6?
42
Let b = 29/48 + 1057/144. What is the common denominator of b and 82/45?
90
Let a be (-4)/(-3) - -2638*(-3)/(-504). Let j = 69/4 - a. Let q = -194293/8356 - -4/2089. What is the common denominator of j and q?
28
Suppose -3*q - 126 = -368*x + 357*x, 27 = 4*x + q. Let j be 2/7 + 33/7. Suppose 25 = 5*d, -4*i - j = -d - 48. What is the least common multiple of i and x?
36
Let w = 8947657/102 - 87721. Calculate the common denominator of w and 11/94.
4794
Suppose 201 = -18*i + 5709. Calculate the smallest common multiple of i and 357.
2142
Calculate the smallest common multiple of 5*(6 - 2080/(-100)) and 113.
15142
Let b(l) = -l + 24. Let k = -57 + 65. Suppose -108 = g - 10*g. Calculate the least common multiple of b(k) and g.
48
What is the common denominator of 24/(-208) - (-61766)/(-46280) and (115*(-1)/(-12))/(-1)?
60
Let c = 1435 - 985. Calculate the smallest common multiple of 600 and c.
1800
Let w be (-2 + (43 - -3))*(-78)/36. Let t = w - -93. Let g = 20 + -14. Calculate the common denominator of t and g.
3
Let f = 645588263/3894 + -331581/2. What is the common denominator of f and 109/1770?
19470
Suppose -3*r + 0*r + 9 = j, 3*r - 9 = -3*j. Calculate the common denominator of (-548)/144*r*-1 and 1/118.
708
Find the common denominator of ((-954)/(-1440))/((-30)/6) and 31/130.
5200
Suppose 0 = 4*j - 3*w - 61, j - 16 = 2*w - 7. Let o = 559821/214 + -2616. Calculate the common denominator of o and j.
214
Suppose -233*m + 3107 = -4582. Suppose 11*c - 510 = 6*c. What is the lowest common multiple of m and c?
1122
Let m = -114718/5 - -22931. Let r(x) = -3*x**3 + x**2 - x + 1. Let h be r(1). Calculate the common denominator of h - (2 + 72/(-39)) and m.
65
Suppose -2604 = 377*i - 3338 - 15854. Calculate the least common multiple of 6188 and i.
68068
Let q = 13994 - 6581. Let y = -259438/35 + q. Find the common denominator of 51/56 and y.
280
Let x(u) = 5*u**2 + 1. Let l be x(1). Calculate the smallest common multiple of 10 and ((-266)/(-21))/(l/18).
190
Suppose -4095*p + 4101*p = 510. Calculate the smallest common multiple of p and 10.
170
Suppose 896 = -0*k - 8*k. What is the common denominator of (-8)/(k/455) + -1 and 23/50?
50
Suppose 29*m = -3*m - 62208 + 348672. Calculate the lowest common multiple of m and 84.
62664
Let k = 14/18112191 - -248939918597/93024212976. Let u = -11/963 - k. Find the common denominator of u and (-121)/5*3/(-6).
80
Let m be 3730/1596 + 12*5/75. Let h = m - 17/190. What is the common denominator of -1*2 - 294/(-81) and h?
189
Let x(l) = 28*l - 816. Calculate the least common multiple of 56 and x(31).
728
Let t = -1295 + 944. Let r = t - -356. Calculate the smallest common multiple of r and 11.
55
Find the common denominator of -11/4018 and (-127)/70*574/(-1148).
40180
Let q = 15397 + -246443/16. Let c = 4/6473 + -187973/414272. Find the common denominator of q and c.
64
Let s = 62 + -61. What is the common denominator of ((-1274)/(-7105))/(s/(5/1)) and 1/8?
232
Suppose 10*y = 134 + 266. Let k = -107 - -139. Calculate the lowest common multiple of y and k.
160
Let o(q) = 12*q**2 + 27*q - 23. Let x be o(-13). Let h = x - 6577/4. Calculate the common denominator of 49/3 and h.
12
Suppose 1316 = 28*p - 1624. Calculate the lowest common multiple of 749/p + (1 - 85/75) and 30.
210
What is the common denominator of -191/210 and (-24)/(-2) + 106290/(-8700)?
6090
Let s = 611065547/35 - 17461037. Let f = 2022 + s. What is the common denominator of f and -31/55?
385
Let q be 3/(126/156) - 6/(-21). Suppose -2*i = -q*h - 166, 0*i + 228 = 3*i + h. What is the least common multiple of i and 7?
77
Suppose 0 = -2*i + 68 + 16. Calculate the common denominator of 330/(-144) + 1 + -4 and 3 - (-5)/(135/i).
72
Suppose -45*j + 44*j = -q + 82, -q + 98 = 3*j. What is the least common multiple of 26/4 + 2/(-4) and q?
258
Let y = -72 + 6381/89. Let z = y + -2419/534. What is the common denominator of z and 6/33 - (-7384)/(-3344)?
114
Suppose 4*q = u - 176, -2*u - 21*q + 362 = -19*q. What is the least common multiple of u and 792?
3960
Let s = 13270119/4 - 347226579/104. Let h = s + 21188. What is the common denominator of h and -67/10?
520
Let j be (-5)/(-30)*3 + 974/4. Let h = 131 - j. Let o = -95 - h. What is the smallest common multiple of o and 140?
1260
Suppose -3327*h + 2990 = -3314*h. What is the smallest common multiple of 414 and h?
2070
Let b(s) = 9*s + 27. Let v be b(-3). Suppose -5*f - 4*o = -v*f - 138, -4*o = 3*f - 78. Calculate the lowest common multiple of 20 and f.
60
Suppose 16720 + 1336 = 74*g. Calculate the smallest common multiple of g and 4758.
9516
Let d(v