90
Let z = -154 + 224. Find the common denominator of (((-108)/(-290))/(-3))/(z/210) and -11/4.
580
Let b = 702/19 + -838169/22686. What is the common denominator of b and (-10)/35 - 8870/(-1400)?
11940
Suppose -4*g + 0*g = -4*l, 9 = l + 2*g. Let i(u) = 14*u + 60. Let r(x) = -2. Let t(d) = -i(d) - 6*r(d). Calculate the least common multiple of l and t(-6).
36
Let p(a) = -a**3 + 36*a**2 - 39*a + 141. Let b be p(35). Calculate the common denominator of 21/170 and b - 0 - 7/((-3213)/(-1152)).
510
Suppose -5*a - 5*r = -80, -2*a - 3*r = 2*a - 63. Suppose 3*i - 45 - a = 0. Suppose -85 = -13*v + 175. Calculate the smallest common multiple of i and v.
20
Suppose 7*x - b - 88 + 17 = 0, x + b - 17 = 0. Suppose 5 = f - 0. Calculate the least common multiple of f and x.
55
Let l(r) = -2*r**2 - 6*r + 7. Suppose -24 = 5*t + d - 0*d, t - 2*d - 4 = 0. Let y be l(t). What is the smallest common multiple of -2*(-6)/8*(-12)/y and 30?
90
Calculate the least common multiple of 21 + (-22)/(132/30) and 32.
32
Let n = -6/1619 - -73047/51808. What is the common denominator of n and 39/688?
1376
Let k = -12982354/1029417 - -102/11069. Let a = k - -85/124. Let q = 821 + -4973/6. Calculate the common denominator of a and q.
12
Suppose 5*y = -3*o + 87 - 13, 0 = 8*y - 32. Calculate the lowest common multiple of 180 and o.
180
What is the common denominator of (2282/960 + 0 + -2)/(-1 - 0) and -97/1968?
19680
Let f be 339896070/(-67979211) + 5 + 0. Let b = -281365947299/31859590222 + f. Let u = b + -4/2109. Calculate the common denominator of -81/38 and u.
114
Let c = 7907/8 - 1995/2. Find the common denominator of (-464)/(-24) + -20 - (-11)/84 and c.
56
Let z(a) = a**2 + 13*a - 18. Let w be z(-16). Suppose b + 5*i = w, 31 = 4*b - 3*i - 43. Calculate the lowest common multiple of b and 10.
20
Suppose 0 = -8*i + 17*i - 36. What is the common denominator of -45/2 and (i - (-618)/(-96)) + -1?
16
Let j = -43 - -46. Let y(k) = -k**2. Let i(m) = -m**2 - 23*m + 1. Let u(w) = j*y(w) - i(w). What is the lowest common multiple of u(11) and 5?
10
Let m be (2 - (-18)/(-4))/(6/(-12)). Let j be 278/m + -4*4/(-40). Let z = j + -47. Calculate the least common multiple of 3 and z.
9
Calculate the common denominator of (141/(-27) - (-2 + -3))/(24/(-726)) and -14/213.
1278
Let k = 811 + -783. Calculate the lowest common multiple of k and 56.
56
Suppose -z - 21*u + 20*u = -132, -2*u + 390 = 3*z. Suppose -3 = -t + 63. Calculate the lowest common multiple of t and z.
1386
Let c = -46 + 55. Suppose -13*i = -c*i - 256. Suppose 3*u = 4*h + i, 2*u + u - 66 = 3*h. Calculate the lowest common multiple of 33 and u.
264
Let z = 642263 + -12210707/19. Let s = 464671/1140 + z. Calculate the common denominator of s and -16/3.
60
Suppose -5*w + 12 = -33. What is the lowest common multiple of (-1890)/4347*46/(-4) and w?
45
Let y be (-24)/(-30)*2*5. Suppose 4*a - 72 = y. Find the common denominator of ((-34)/a)/((-28)/(-70)) and -39/8.
8
Calculate the common denominator of 73/9 and 10 - (-1108)/9072*-82.
1134
Suppose -5*d + 138 = -2*d. Suppose 5*k = -8*k - 2184. Let q = k + 176. Calculate the lowest common multiple of q and d.
184
Let h = 15683/2940 - -17/147. What is the common denominator of h and 107/72?
360
Suppose 4*s = -d + 73, 0 = -4*d - 2*s - s + 227. Suppose d = 11*k - 57. What is the lowest common multiple of k and 9/3 + 7 - 0?
10
Let y be ((-25)/(-5025))/(1*(-1)/3539). Let w = 4/67 - y. Find the common denominator of w and 1/2 - (-158)/(-60).
15
Let n = 622690/119 + -5233. Find the common denominator of 3/28 and n.
476
Let k be ((-11)/2832)/(18/(-4158)). Let v = k + -5/59. What is the common denominator of v and -9/8?
16
Let c = 14 - 11. Suppose -216 = 3*u - 5*u + 5*x, -517 = -5*u + x. Suppose u = 7*v - 23. What is the lowest common multiple of c and v?
18
Suppose 149 = 9*t - 112. Suppose 6*k + t = 83. Calculate the least common multiple of 107 and k.
963
Let f = 0 + -4. Let k be 6/f - 11/22. Find the common denominator of 109/28 and 48/54 - k/(-8).
252
Calculate the common denominator of (-1017)/(-408)*((-815)/(-90) + -9) and -50/51.
816
Let b = 15976538/7772022197 + 24/431803. Calculate the common denominator of b and -32/11.
197989
Suppose 5*c + 0*h + 50 = -4*h, c = -h - 11. Let u be 318/18 - 2/c. Let l = u - 16. What is the lowest common multiple of l and 3?
6
Find the common denominator of 71/46 and (4 + (-280)/12)/((-1224)/27).
1564
Let t be (-6)/(-2) + (-750)/(-3). Let q = 263 - t. What is the smallest common multiple of q and 116?
580
Suppose 0 = 8*h - 170 + 138. What is the common denominator of 99/40 and h/(-5) + 20371/1820 + -10?
280
Calculate the lowest common multiple of 13520 and 22331/1630 - ((-159)/30 + 3 - -2).
94640
Suppose -129*l = -132*l + 27. Let t be (9/(-6))/(-1 + 181/180). Let a = -183 - t. Calculate the lowest common multiple of a and l.
261
Suppose 71*a + 40*a + 1828 = -2612. Find the common denominator of -53/306 and a.
306
Let h = 359875/106182 + -2/5899. What is the common denominator of 29/454 and h?
4086
Let t be 17/(1/(-1 + 2))*-1. Find the common denominator of 9/8 and (0 - 0 - 10)/((-8)/t).
8
Suppose -4*f = 4*u - 108, -u + 102 = 4*f + u. Suppose 5*q - p = 4*p + 45, -5*q = 3*p - 69. Calculate the smallest common multiple of f and q.
24
Let b = -7514 - -7550. Calculate the lowest common multiple of b and 246.
1476
What is the common denominator of (70/(-75))/(8/(-10)) and (27/(5292/35))/11?
924
Suppose 0 = 4*f + 2*u - 204, -10*f + 240 = -5*f - 5*u. Calculate the common denominator of 2/3 and f/(-96) - 10/(-20).
48
Let l = 719/234 + -71/13. Let m = -95 - -53. Find the common denominator of (-2)/10 - m/(-4) and l.
90
Let r = 12406 - 12153. What is the lowest common multiple of r and 77?
1771
What is the common denominator of (-15 - -14)*11 + (-10726)/(-960) and -85/216?
4320
Let w be 5/990*329*(-1)/30. Let z = w + -49/108. Calculate the common denominator of 39/44 and z.
220
Let w = 1483 - 16312/11. Find the common denominator of w and -42/121.
121
Let b = 88022867/4550 - 135420/7. Find the common denominator of b and -4/975.
1950
Let t = -67743 - -15174459/224. What is the common denominator of -121/24 and t?
672
Let o = 34564949/18 - 1917148. Let z = o - 3133. What is the common denominator of -1/18 and z?
18
Let u = 23 - 8. Let x be ((-3)/u)/(3/(-75)). Suppose 2*l + x*a - 3 = 0, -a - 7 = -l - 2. Calculate the lowest common multiple of 9 and l.
36
Calculate the common denominator of 7/78 and (411/(-3))/(19 - -155).
2262
Let w(t) = 10*t**2 + 45*t + 126. What is the least common multiple of w(12) and 390?
10530
Let k = 109948 - 659731/6. Let z = 14893/1122 + -20/187. Calculate the common denominator of k and z.
6
Let g(y) = 2*y**2 - 108*y + 799. What is the least common multiple of 994 and g(46)?
8946
Suppose 3*t + 2*v = 714, -2*t + v + 465 = 6*v. Calculate the least common multiple of t and 60.
240
Suppose -178*z + 9403 = -13025. What is the smallest common multiple of 231 and z?
1386
Let n(m) = m**3 + 20*m**2 + 35*m - 6. Suppose -5*a = 2*b + 29 + 32, -3*b - a = 59. What is the least common multiple of ((-12)/10)/((-3)/20) and n(b)?
24
Suppose 37*p - 162 = 28*p. Let s = 1370 + -1262. What is the lowest common multiple of s and p?
108
Let m = 139363/10 - 13932. Let d = -310 + 184. Calculate the common denominator of m and (-4)/14 - 2661/d.
30
Let g be (-3 - 0) + (2 - -6). Suppose g*o + 223 = 5*s + 13, -4*o = 8. Calculate the common denominator of 3 - 452/s - -2 and -15/11.
110
Suppose -107*p + 105*p + 475 = 5*f, -2*p = 3*f - 469. Calculate the lowest common multiple of 45 and p.
2070
Let m(k) = 2*k**2 - 70*k + 258. Let j = 13 - -13. What is the lowest common multiple of j and m(4)?
130
Let c = -11917/36 - -331. What is the common denominator of c and (-5)/(-25) - (1821/(-270) + 2)?
36
Let m be 2/(-3)*168/16. Let t be (-21478)/(-7) + ((-5)/m - 1). Find the common denominator of 87/2 and (-3 - t/(-16))*1/30.
24
Let r = 1073224/15152661 + 10/52071. Let w = -59 - -289/5. What is the common denominator of w and r?
4365
Let n be (4/(-6) - 14/(-12))*-6. Calculate the common denominator of -37/21 and ((4/2)/(-32))/(n/(-254)).
168
Let y(t) be the second derivative of t**4/6 + 5*t**3/6 - 5*t**2/2 - 14*t. Let q be y(-4). What is the smallest common multiple of q/(14/(-4))*3/(