multiple of 12 and 36/m - 11/(330/(-12)).
12
Let u be -6 - (2 - (6 + -2)). Calculate the common denominator of 109/6 and 3 - ((-30)/u)/((-9)/(-7)).
6
Suppose -12*j + 17*j + 4*y = 45, -3*y = -4*j + 36. Let w = -15 + -7. What is the least common multiple of (-3 + 1)/(4/w) and j?
99
Let u = 705 - 1100. What is the common denominator of (4/110)/((-4)/u) and (81/60)/((-36)/(-20) + -3)?
88
Let u = -151773/459760 + -1/4105. Calculate the common denominator of u and 61/3264.
22848
Find the common denominator of (-400734)/123804 + 6/(-4)*-2 and -5/74.
1406
Suppose -5*g = 5*d - 4*g + 12, -3*d - 4*g = 14. Let j be 0 + ((-672)/(-2) - d/1). Find the common denominator of (j/(-20))/((-42)/(-10)) and -81/22.
462
Suppose 377 = 5*w + q + 141, 0 = -w + 4*q + 43. Let g = w + -29. What is the lowest common multiple of g and 6?
18
Let i be 532/(-322) - ((-9)/3 + -1). Let k = i + -167/414. Calculate the common denominator of -89/44 and k.
396
Let b be ((-3124)/14)/((-192)/(-26152)). Let o = -30435 - b. Let r = -41 - o. What is the common denominator of r and 111/22?
132
Let k = 5653 + -192127/34. What is the common denominator of k and (-12)/(-72)*234/16?
272
Let z be (808/(-3424))/(26/(-60)). Let k = z + 94/107. Calculate the common denominator of 17/143 and k.
286
Let f(u) = 18*u**2 + 2480*u - 315. Calculate the least common multiple of f(-138) and 1659.
1659
Let m be 1/(2 - 4) - 5/(-2). Calculate the common denominator of (-3)/((-780)/265) - m and 55/6.
156
Suppose -15*p + 796 = -929. What is the lowest common multiple of p and 5?
115
Find the common denominator of (-28764)/408*(-3)/(783/2) and -101/174.
174
Suppose 26*g + 2*k = 28*g - 28, 12 = 3*g + 3*k. Calculate the least common multiple of 2/(-10) - 228/(-15) and g.
45
Let n = 71/4 + -143/8. Let s be -3*-20*178/12. Let b = -1745/2 + s. What is the common denominator of b and n?
8
Suppose 23 = -5*s - 3*o, s + 0*s - 5*o + 27 = 0. Let z = s + -53. What is the smallest common multiple of 16/((-4)/3 - z/18) and 18?
72
Suppose 3*h - 583 = -5*p, -2*p = h - 47 - 147. What is the lowest common multiple of h and 692/8304 - (-1246)/24?
2548
Suppose -3*p = -103*y + 107*y + 3, 16 = -2*p - 5*y. What is the lowest common multiple of p and 76?
532
Let w(n) = 173*n + 1394. What is the lowest common multiple of 205 and w(-8)?
410
Let t = -1157 + 2385. Suppose -t = -5*b + 917. Find the common denominator of 59/9 and ((-22)/b)/(1/(-23)).
117
Let d = 60 + -27. Let m = -744 - -786. Suppose -2*y - 6 = 0, 4*p - m = 4*y + 54. Calculate the smallest common multiple of p and d.
231
Suppose 3*z + 5 = p, -4*z + 5 = 5*p - 1. Let w(k) = -2*k - 16. What is the smallest common multiple of 10 - (z + (3 + -1 - 1)) and w(-10)?
20
Let k(l) = -2*l - 8. Let r(v) = -98*v + 586. What is the smallest common multiple of k(-6) and r(5)?
96
Suppose 0 = -65*x + 73*x - 32. Suppose 2*m - 11 = 2*p - 25, m = x*p - 37. Calculate the least common multiple of 16 and p.
80
Suppose -8*a + 12*a = 355656. Let y = -9780413/110 + a. What is the common denominator of y and -39/10?
110
Let v(y) = -6*y - 20. Let a be v(8). Let q = -28 - a. Let t = 66 - q. Calculate the least common multiple of 8 and t.
104
Calculate the lowest common multiple of -9 + (4/12)/((-2)/(-78)) and 214/8 + (-2)/(-8).
108
Let a(r) = 9 - 4 + 3 - 8*r**2 - 4 - 13*r - r**3. Calculate the smallest common multiple of a(-6) and 23.
230
Let a(r) = -5*r**3 + 15*r**2 + 59*r - 4. Calculate the least common multiple of 1120 and a(-4).
2240
Let d = 50 - 49. Calculate the lowest common multiple of 105 and -10*(56/(-20) - -2*d).
840
Suppose -4*v = 1 - 73. Let i(b) = -b**3 + 9*b**2 - 95*b + 471. Calculate the least common multiple of v and i(6).
18
Let p be 12/(-54) - (-76)/18. Suppose -13 - 59 = p*m. Let x = -10 - m. What is the smallest common multiple of x and 14?
56
Let v(k) = -61*k + 7. Let r be v(-13). Suppose 901*c = 897*c + r. What is the smallest common multiple of c and 10?
200
Let n(c) = c**3 + 6*c**2 - 4*c - 9. Suppose -2*w = 3*f + 196, 0 = 5*w + 3*f - 5*f + 528. Let k = 98 + w. What is the common denominator of -23 and n(k)?
1
Let o(l) = -7*l**2 + 86*l - 168. What is the smallest common multiple of 5632 and o(8)?
50688
Calculate the common denominator of 67/72 and ((-4)/3)/((-108)/(-81))*(-90)/22.
792
Suppose 3*m + i = -16, 2*m + 23 + 1 = 2*i. Find the common denominator of (m - (-238)/4) + (1 - 6) and -87/20.
20
Suppose 0*s + 4*s = 12, -5*s + 13870 = -5*c. Let u = c - -30535/11. Calculate the common denominator of (1 - -9)*60/(-275) and u.
11
Calculate the common denominator of 107/24 and 133/(-141) - (1/(-5))/((-7)/(-35)).
1128
Let i = -276 - -240. Find the common denominator of -81/2 and (i/(-368))/(6/76).
46
Suppose -4778 - 4802 = 20*u. Let l = 483 + u. What is the lowest common multiple of 122/3 - (-2)/(-3) and l?
40
Let m = 158/5 + -2899/90. Let v = 46397/126 + -2529/7. Find the common denominator of m and v.
18
Suppose -f = 8*i - 808, 2*f + 38 = i - 63. Calculate the least common multiple of i and 55.
5555
Let v(w) = -w**2 + 23*w + 56. Let c be v(25). Suppose -c*k - 3369 = 657. Let j = -4743/7 - k. Find the common denominator of -167/126 and j.
126
Suppose 124*o - 542*o + 103168 = 2012. Calculate the smallest common multiple of o and 1606.
17666
Let p = 37786/3 - 11700. Suppose -6*v + 5484 = -12*v. Let z = v + p. Calculate the common denominator of z and 74/3.
3
Find the common denominator of 53/198 and 1/42*(-2303)/1680*2.
7920
Suppose 115*t = 111*t - 3*p + 47, 0 = -5*t + 3*p + 25. What is the least common multiple of 129 and t?
1032
Let h be (-2)/6*2/((-4)/30). Suppose 4*w + 28 = -0*l + l, h = -w. What is the smallest common multiple of 920 and l?
920
Let t = 39649 - 1152001693/29055. Let w = t - 332521/38740. What is the common denominator of w and -107/6?
12
Let l be ((-9)/(-4))/(109/32 - -1). Let j = -1169/564 - l. Find the common denominator of (-49)/(-27) + 1/(-3) and j.
108
Suppose 0 = -s + 3 - 2. Let t = -1637497 - -1637734. What is the smallest common multiple of t and s?
237
Let p = 1253 - 10007/8. Suppose -259 = -5*m - 254. Calculate the common denominator of p and 4 - m - (-716)/(-80).
40
Suppose -21*q = 35 - 4781 + 525. What is the lowest common multiple of 45 and q?
3015
Suppose 0 = 18*r - 5*r - 442. What is the lowest common multiple of (1 + r)*(568/(-56) + 11) and 33?
330
Let m(f) = 5*f - 3. Let w = -49957 - -25727823/515. What is the common denominator of w and m(6)?
515
Let k = 651 + -621. Suppose -62 = -4*a + 70. Calculate the lowest common multiple of k and a.
330
Suppose 0 = -u - 2*u - 4*y + 319, 3*u = 4*y + 335. Let j = u - 64. What is the common denominator of (69/15 - 4) + 3 and j?
5
Find the common denominator of 50/4781 and -6 + (-5 + (-39208)/(-32))/(4098/20).
9562
Suppose -2*k = a - 182, -k + 64 + 24 = 2*a. What is the smallest common multiple of k and 79?
7268
Let h = 5825/216 + -219/8. Find the common denominator of 2/5 - ((2682/(-945) - -6) + -1) and h.
189
Suppose -23486 - 3450 = -182*g. What is the smallest common multiple of g and 1?
148
Let u = -149 - -158. Calculate the least common multiple of 4 and u*(20/45 - 0).
4
Suppose 26 = p + 21. Find the common denominator of (p - 26/5)/(2/66) and 20/29.
145
Let s = 56579/28 + -2023. Suppose -71*r - 179360 = -90*r. Let z = r + -226643/24. What is the common denominator of s and z?
168
Let b be 19/5 - (-29)/145. What is the common denominator of -17/5 and b*(-1)/(-40)*-14?
5
Find the common denominator of 81/2272 and (-142)/22*(-9)/18.
24992
Suppose 2*g + 5*h - 22 = h, 5*h - 28 = -3*g. Let x(a) = -902*a**3 - a**2 - 2*a + 2. Let z be x(g). Find the common denominator of 1/(-4) - z/(-28) and 11/12.
12
Let t = 2993 - 2707. Calculate the least common multiple of t and 20.
2860
Let c(s) = -s**3 - 22*s**2 - 22*s - 17. Let q be c(-21). What is the lowest common multiple of 22 + 3*(q + -6) and 8?
16
Suppose i - 75526 = -3*s - 23978, -4*s = -3*i - 68709. Let r = s - 5802. Let u = -682867/60 + r. Calculate the common denominator of u and 71/2.
60
Suppose 500*k - 53*k - 766 = 64*k. What is the smallest common multiple of k and 2*(0 - 4*-8)?
64
Suppose -4*m = -148 - 136. Suppose 5*o + 2*c = m, 8*o - 66 = 4*o + 3*c. What is the smallest common multiple of 40 and o?
120
Let k(u) = 12*u**2 + 194*u + 47. What is the least c