 = -t**3 - t**2 + 21*t - 6. Let f be c(4). Let a = 1905 + -20920/11. Calculate the common denominator of a and (f - 186)*(-33)/1716.
143
Let v(i) = i**3 + 1217 - 2*i**3 - 6*i**2 - 9*i - 1220. What is the common denominator of (4/(-12))/(107/3) and v(-5)?
107
Suppose -78 - 218 = -8*p. What is the least common multiple of 10 and p?
370
What is the common denominator of -1/119 and -15 - (-22087)/29848*20?
9758
Suppose 0 = -4*w - 741 + 777. Let l be 7 + 4/((-4)/3). Suppose -3*r = -8*r + 5*o + 30, 2*o - 12 = -l*r. Calculate the lowest common multiple of r and w.
36
Let h(z) = 7*z**2 + 17*z + 52. What is the lowest common multiple of h(-3) and -3*1 + (10 - -7)/1?
448
Let x = -1612 + 37035/23. Let v(h) = -2*h**2 - 2*h + 138. Let w be v(0). Find the common denominator of w/(-20) + (-10)/4 + 2 and x.
115
Let p(a) = 10226*a**2 + 3*a + 1. Let k be p(3). Let j = k - 555197/6. Let x = -1615/3 - j. What is the common denominator of -1/26 and x?
26
Let j = -894 - -1562. Calculate the least common multiple of 60 and j.
10020
Let g be ((-76)/10)/((-20)/300). Suppose 15*n + 339 = g. Calculate the lowest common multiple of 21 + n/(-10)*-2 and 6.
18
Let b = -1372920219509804189/425646 - -3225497759905. Let v = 14019502304/23647 + -592866. Let d = v - b. What is the common denominator of 31/8 and d?
72
Let b = -817 + 622. Let g = b + 1559/8. What is the common denominator of -163/180 and g?
360
Let m(r) = r**3 + 11*r**2 - 28*r - 16. Let c = 41 + -31. Let g be (-135)/c + 3/6. Calculate the smallest common multiple of 18 and m(g).
90
Let f be 18/(-45) + 94836/236990. Let q = 1161619/2180308 - f. What is the common denominator of q and -29/24?
552
Find the common denominator of (((-13056)/(-280))/(-12))/(72/(-84)) and -35/2409.
12045
Let w be (-75)/(-12)*202 - -2. Let t = -119/6 - w. Let y = t - -1272. Calculate the common denominator of -57/2 and y.
6
Suppose 7*f + 66 = 29*f. What is the smallest common multiple of (-12 - -2)*4/(-10) and 4*168/(-32)*(-22)/f?
308
Suppose 2*v - 12 = -3*x + 6, 2*v - 3*x = 42. Calculate the least common multiple of -3*(608/(-15) + 3/v) and 2.
242
Let j = -25 - -29. Suppose u - 34 = -3*b, -j*b = u + 8 - 54. What is the smallest common multiple of (-2)/(-3)*3 + 4 and b?
12
Let q = 34 + -52. Let u = q + 58. Calculate the common denominator of u/(-18) - 4/(-18) and 35/9.
9
Let g(l) be the third derivative of -l**5/60 + 2*l**4/3 - l**3/6 + 6*l**2. Let j be g(15). Calculate the smallest common multiple of j/77 + 1908/33 and 16.
464
Suppose 6*p - 10 - 2 = 0. Suppose 10*i = 4*i + 36. Suppose -2*c - 36 = -2*g, -3*g + 2*g - i = 5*c. What is the lowest common multiple of p and g?
14
Let n = -66531656/105 + 9100529/14. Let z = 16405 - n. Calculate the common denominator of z and -161/66.
330
Let t(d) be the third derivative of -d**4/8 - 5*d**3/3 - d**2. What is the least common multiple of t(-4) and (-1 - (-40)/64) + (-105)/(-24)?
4
Let j be (-3 - -2)/((-2)/6). Suppose -2*i + 10 = j*i, 2*x + 4*i = 40. Let p = 16 + -8. Calculate the least common multiple of p and x.
16
Suppose 1272*w = 1240*w + 7680. What is the least common multiple of 144 and w?
720
Let u = 3803369/11 - 343658. Let v = 2101 - u. Let w = 1121/6 + -188. What is the common denominator of w and v?
66
Suppose -5*n + 105 = -5*p, 45*n - 41*n - 74 = 2*p. Calculate the smallest common multiple of n and 133.
2128
Let y be ((-21)/(-2))/((-9)/6 + 1). Let o = y + 22. Let b(k) = -k**2 + 7*k - 4. What is the lowest common multiple of b(5) and o?
6
Suppose 47*p - 112446 - 51960 = 0. Calculate the lowest common multiple of p and 132.
6996
Let i(s) = 3*s - 3 + 2 + 3 - 3. Let l be i(-2). Let h = 16 + l. What is the smallest common multiple of 1 and h?
9
Let a = -1158/293 + 378707/101085. Calculate the common denominator of -67/966 and a.
4830
Let c be 3541766930/(-18180) - 6/27*-1. Let o = -194816 - c. Let j = -22599/38170 - -2/1735. Calculate the common denominator of j and o.
2222
Suppose 0 = 5*j + 1265 - 1335. What is the lowest common multiple of 406 and j?
406
What is the common denominator of (-370)/(-8436)*(-222)/40 and -35/3382?
13528
What is the common denominator of (237/48 - 5) + (-20)/(-64) and -111/170?
340
Let d(n) = -n**3 + 15*n**2 - 14*n + 1. Let u = -33 + 47. Let a be d(u). Calculate the common denominator of -15/11 and a/(-4) - (-154)/72.
99
Suppose -y - 1176 = 13*y. Let i = -76 - y. What is the lowest common multiple of 16 and i?
16
Let r = 12682 + -329799/26. Suppose 3*g + 5*d - 101 = 0, 3*d + 25 = -2*d. Find the common denominator of 4 + -4 - 51/g and r.
182
Suppose -4*w = 4*v - 60, 78 = 2*w + 56*v - 60*v. What is the smallest common multiple of w and 207?
207
Let k be (-1)/(-10)*(-2324653)/(-11721). Let c = k + 2/19535. Find the common denominator of c and (32 - (-61644)/(-1936))/(4 + (-30)/8).
66
Let x = 3504279/112 - 31288. Calculate the common denominator of x and -13/196.
784
Let m(n) = -2*n + 12. Suppose -7 = -2*h + 3*h. Let z be m(h). Suppose -i + z = -0*i. Calculate the lowest common multiple of i and 11.
286
Suppose s - 2*a - 6 + 3 = 0, 2*s - 15 = a. What is the common denominator of (2/14)/(72*(-28)/(-114660)) and (-94)/30 + 3/s?
40
Suppose 2*g = -4*a - 108, -11 = -a - 6. Let k = 58 + 21. Let i = g + k. Calculate the least common multiple of 6 and i.
30
Let g be -1*(1/4 - (-69)/12). Let x be (4/10)/(g/(-30)). Suppose y = x + 6. What is the smallest common multiple of 32 and y?
32
Let u = 161075/108 + -1491. Calculate the common denominator of 137/258 and u.
4644
Let i = -3 - 2. Let x = 45 + i. Suppose x = 16*a - 11*a. Calculate the least common multiple of a and 7.
56
Let q be (-2 - -6) + -171 + (2 - 5). Let w = q + 175. What is the smallest common multiple of 11 and w?
55
Suppose 0*x + 25*x - 7350 = -5*x. What is the least common multiple of x and 196?
980
Suppose 1908 = 25*j + 11*j + 70*j. Calculate the smallest common multiple of j and 3777.
22662
Let k be 321/21 + 10/(-35). Let l = k + -9. Suppose 23 = g - 3*f, 2*g - 4*f = -2*f + 46. Calculate the smallest common multiple of l and g.
138
Let b = -2/41047 + -2996399/656752. Let p = -21610299/20 - -1080870. Let x = -1771/5 + p. Calculate the common denominator of b and x.
80
Suppose a = -2*j - 7323 - 8188, -j - 7760 = 5*a. Let z = j + 46427/6. Find the common denominator of 105/22 and z.
66
Let t = 35 + -29. Suppose -3*f - t = 9. What is the common denominator of 9/4 and (-533)/(-180) + (-2)/f?
36
Let h = -140754/25 - -5629. Let b = 8421 + -3124187/371. Let r = b + 7009/3710. Find the common denominator of r and h.
50
Let b(u) = 2*u**2 + 141*u - 57. Calculate the lowest common multiple of b(-71) and 1572.
11004
Suppose -18*g + 14*g = 40. What is the common denominator of (-7 - 1383/(-180))*g/12 and 10/21?
504
Let h = 1/12396 + -334699/86772. Find the common denominator of 11/68 and h.
476
Suppose -683 = 3*a - 5*c, -1852 + 647 = 5*a + 5*c. Let v = a - -272. Calculate the smallest common multiple of v and 36.
36
Let q = -18 + 20. Suppose 3*p = a - p - 53, -194 = -4*a - q*p. What is the least common multiple of 4 and a?
196
What is the common denominator of ((28231/(-1260))/37)/((-4)/(-6)) and 169/270?
1080
Let t(n) = -460*n**3 - 54*n**2 - 48*n + 6. What is the lowest common multiple of 36 and t(-1)?
4140
Suppose -3*x - 132 = -y, -y - 96 + 232 = -x. What is the common denominator of -40/93 and y/(-45) + -6*6/(-36)?
465
Let a = 5579 - 5516. What is the least common multiple of a and 54?
378
Let i = -97 + 85. Let p be 3/i*11*-20. Suppose 29 + p = 4*c. Calculate the lowest common multiple of c and 5.
105
Let r(f) = f**3 + 5*f**2 + 2*f + 13. Suppose 5*u + 10 = 3*h, -3*h + 15 = -2*u + 20. Let z = 72 + -24. Calculate the least common multiple of z and r(u).
48
Find the common denominator of -32/1411 and (3060/110 - 28) + (-274)/10956.
8466
Let r be 1245/20 + (0 - -4)/(-16). Let d = 6/3145 - -73581/6290. What is the common denominator of (24 + 0)*(r/33 + -2) and d?
110
Suppose -98 + 20 = -13*o. Calculate the least common multiple of 4 - 2 - (-2 - o) and 124.
620
Let l(n) = 11*n - 5. Let v be l(1). Suppose -v*c + 1047 = -3*c. Calculate the common denominator of c/30 + 1/5 and 52/5.
30
Let k be (-4750636)/78*((-126)/223832)/9. Let c = k - -1/14846. What is the common denominator of c and (-14)/(-52)*(-2)/(-3)?
273
Find the 