w = -1162 + 399729/344. Let y = 773/344 + w. Calculate the common denominator of y and -87/8.
8
Suppose -4*r + 58 = -18. Suppose 0 = 10*t - r*t + 108. Let c(b) = 23*b**3 - b**2. Calculate the lowest common multiple of t and c(1).
132
Let l = 63192 + -17123. Suppose -3*f + l = -4*f + 4*m, -f - m = 46079. Let p = f + 7464583/162. Find the common denominator of p and -25/4.
324
Let s(j) = -9 + 2*j**3 + 2709*j**2 + 35*j - 2711*j**2 - 12*j. Calculate the lowest common multiple of s(5) and 2.
306
Suppose h + 46 = 3*v, -3*v - 2*h + 21 + 13 = 0. Suppose v*z + 440 = 5*y + 19*z, -y + z = -80. Calculate the lowest common multiple of 42 and y.
84
Let z(s) = -s**3 + 10*s**2 - 11*s + 13. Let c be z(9). Calculate the least common multiple of (-76)/(-10) + (-2)/c and 114.
456
Calculate the common denominator of 2 - (2529/1280)/(-19 - -20) - 0 and -79/16.
1280
Let p be (336/5)/((-26)/130). Calculate the common denominator of (-21)/(-18)*(p/(-27))/(-7) and -43/93.
837
Suppose -28*b = -27*b + 5895. Find the common denominator of 8/1 - b/(-684) and 51/95.
380
Let m(p) = p**3 - 3*p**2 - 2*p - 2. Let o be m(-4). Calculate the common denominator of (o/30)/((-44)/(-33)) and (412/48 - -2) + 0.
60
Let m = -21023 - -231260/11. What is the common denominator of m and -151/1656?
18216
Let b = -2613 - -2622. What is the lowest common multiple of b and 1846?
16614
Let v = -387161/18 + 21503. Calculate the common denominator of 139/1158 and v.
3474
Let i(q) = -14*q + 13. Let s be i(1). What is the common denominator of 43/42 and 0/(-1) + 322/189*s?
378
Let i(a) = 47*a + 16. Let b be i(1). Calculate the common denominator of 73/8 and (7/b)/((-60)/762).
360
Let t = -254/21 - -159/28. Let y be 1189/((-5)/(10/(-12))*57). Let s = y - -11/19. What is the common denominator of t and s?
36
What is the common denominator of -185/3276 and ((-19)/(-171))/(8/(-36))*(-145)/(-546)?
3276
Let l be -27 + 13 + (-4)/(-2)*-2. What is the common denominator of -133/60 and (4/l*3)/(-48)*-115?
360
Calculate the common denominator of (-37)/2 - (-14 - -19) and ((-2)/(-1))/((-1320)/218).
330
Let d = -6 + 0. Calculate the lowest common multiple of (d - -5) + -5 - -26 and 46.
460
Let w = 12146 - 327872/27. Let h(q) = 699*q - 11. Let g be h(-6). Let i = g + 50545/12. Find the common denominator of i and w.
108
Let b be (-4)/(-6) + (-420)/(-126). Suppose -20 = -2*r - 2*j + 6, -2*r = b*j - 20. Let a = 47 - 25. Calculate the lowest common multiple of r and a.
176
Let n be 1/2*-1 - 15/(-6). What is the least common multiple of 30/9 + (-6)/(-9) and (-7)/(-3)*n*9/6?
28
Let u = -241/357 - 2/51. What is the common denominator of u and (-4)/(-14)*(-927521)/(-37996) - 7?
826
Let j = 51281/2118 - 16/353. Find the common denominator of j and ((150/(-2020))/(7/(-4)))/(976/854).
1212
Let a(z) = -z**2 - 36*z - 23. Let s(k) = -29*k - 34. Let f be s(0). What is the least common multiple of a(f) and 55?
495
Suppose 4*t = 3*x + 152 - 3890, 6241 = 5*x - 3*t. Let h = x + -10017/8. Find the common denominator of h and -85/4.
8
Let q be (-55)/2 - 2/4. Let x = -117193/56 - -14580/7. Find the common denominator of x and (-666)/q*(-3)/9.
56
Let z = 514/3 + -20929/120. Calculate the common denominator of z and (-6)/4*(-306)/(-36).
40
Suppose 40*l - 4197 - 41214 + 3491 = 0. What is the least common multiple of 104 and l?
13624
Suppose -5286 = 7*c + 18724. Let a = c + 72106/21. Find the common denominator of a and -59/8.
168
Let v(z) = z**2 + 4*z - 1. Suppose 0 = -5*o - 5*f - 1415, 2*f + 1138 = -4*o - 0*f. Let w = o + 8266/29. Find the common denominator of v(3) and w.
29
Calculate the lowest common multiple of 210 and 6/(-15)*15 + 354 + 2.
1050
Let y = -90 + 85. What is the least common multiple of 18 and 6*((3 + 1 - y) + -4)?
90
Let n be (-53)/(-2) + 24/(-48) - 1. What is the common denominator of ((1/4)/(n/2350))/(-44) and 43/88?
88
Let z(t) = -12*t - 58. Let a be z(4). Let r = -94 - a. Calculate the least common multiple of 32 and r.
96
Let f = -201532497/1384 - -145616. Calculate the common denominator of -57/20 and f.
6920
Let i = 2455742/315 - 7796. What is the common denominator of i and -73/140?
1260
Let a be (-12)/(-15) + (-61)/(-5). Suppose -6*t + 532 = a*t. What is the lowest common multiple of 21 and t?
84
Suppose -8*k = -20556 - 17908. Let f = k - 105813/22. Find the common denominator of f and -81/146.
1606
Let u = -708037/72 - -9834. Find the common denominator of u and (-10)/24*(-604)/(-30).
72
Suppose 16 = 4*v, 4*j - 12 = -3*v + 28. Let h be 119/1 - (j - 6). Find the common denominator of 71/40 and 1/1 - h/(-20).
40
Let o be (0 - 45/25)*35/(-7). Let r = -5 - -37. What is the smallest common multiple of 5 - 5 - (o + -4 + -21) and r?
32
Let m(z) = 2*z + 26. Let k be m(-10). Suppose -13 - 113 = -k*d. Calculate the least common multiple of d and (-14 + (-3 - -2))*1/(-3).
105
Suppose 0 = -119*m - 79*m + 106*m + 2576. Calculate the lowest common multiple of (32/(-2))/(0 - 1) and m.
112
Suppose -4*z - 72 = -4*l, -7*l + 10*l - 4*z - 57 = 0. Suppose -11*d - 5*m = -6*d - 840, -5*m = -4*d + 672. Calculate the smallest common multiple of d and l.
840
Suppose 165 = 3*c + b + 97, -b = 5*c - 112. Calculate the least common multiple of 4172 and c.
45892
What is the common denominator of (-3 + (-5)/(-100))/(60/(-150)) and 85/52?
104
Let c = 393740341/918 - 428911. What is the common denominator of -47/3 and c?
918
Find the common denominator of ((-1983868)/165328 - -12)*12 and -26/5.
51665
Let o be 987/(-6)*14/7. Let z = o + 336. What is the smallest common multiple of 8 and z?
56
Let s(t) = -t**2 - 4*t + 142. Let b be s(0). Suppose -3*a + 68 + b = 0. What is the lowest common multiple of 80 and a?
560
Let v = 168 - 966. Calculate the common denominator of 5 + (-78)/15 + v/160 and (-164)/(-24)*-2 - -3.
48
Let j(v) = -v**3 - 47*v**2 - 89*v + 73. Let f be j(-45). Suppose -6*c + c + 3*r + 39 = 0, 0 = 4*c - 4*r - f. What is the least common multiple of c and 9?
9
Let j(c) = 68*c + 2700. Calculate the least common multiple of j(-39) and 900.
3600
Let l(o) = -6 + o**2 - 2*o**2 + 2*o**2 + 6*o. Suppose 5*d + 4023 = a + 4030, 0 = 3*a - 28 - 11. Calculate the least common multiple of l(-7) and d.
4
Let p(s) = -38*s + 432. Calculate the least common multiple of p(6) and 612.
612
Let k = -3/2038 + -84565/8152. Let g = -34546 - -67675/2. Let o = 722 + g. What is the common denominator of k and o?
8
Let n(f) = -f + 6. Let g be n(-34). Suppose -54*m + g = -49*m. Calculate the least common multiple of 56 and m.
56
Let y = 97406/11 - 8860. Calculate the common denominator of y and (-10)/(-15)*14/(-12).
99
Let k(r) = 156*r - 4. Let i be k(-7). Let o = -109243/18 + 6071. Find the common denominator of o and (2/(-8))/((-7708)/i + -7).
18
Let k = 13441 - 13361. Calculate the smallest common multiple of 864 and k.
4320
Let f(z) = 26*z + 748. What is the smallest common multiple of f(-28) and 184?
920
Let q(v) = -177*v + 25. Let c be q(-4). Let j = c - 683. What is the smallest common multiple of 52 and j?
1300
Let p(m) = -m**3 + 23*m**2 - 57*m + 788. What is the smallest common multiple of p(22) and 46696?
420264
Find the common denominator of (13138/15744 - (-450)/(-540))/((-4)/100) and 1/6.
7872
Let u = 4863/20 + -70909/60. Let r = u + 947. What is the common denominator of 89/135 and r?
135
Suppose 66 = 2*o + 54. Calculate the lowest common multiple of 30*(o/(-20))/(2/(-4)) and 166.
1494
Let w = -5082 - -472621/93. Let p = -3781/558 - w. Let y = 1681/1456 - -3/91. Calculate the common denominator of y and p.
144
Suppose -2*d = -4*t, -t + 16 = 4*d - 20. Suppose -j + 4*j + 2*y = 25, -5*j = -y - 20. Suppose j*g + d = 28. Calculate the smallest common multiple of g and 14.
28
Let r = 1405226 - 15766635509/11220. Calculate the common denominator of r and 77/2.
11220
Let u = -5/3528 + -24887/3528. Find the common denominator of u and 19/102.
306
Suppose 0 = 5*l - 2*c - c - 9, -4*c = l - 11. Suppose -l*j + 135 = -81. Find the common denominator of 95/14 and 4*(-61)/j*-2.
126
Let w(r) = r**2 + 4*r - 4330. Calculate the smallest common multiple of 22 and w(64).
22
Let h(i) = 2*i + 6*i**2 + 0*i**2 - 4*i**2 - 2 + 34*i**3. Let v be h(2). What is the common denominator of 2/(-8)*v/(-33) and -32?
22
Let d be 1*(66/15 + (-12)/(-20)). Suppose -d*h + 60 = -0*h.