 + 4*f - 97. Let h = 125 - p. What is the smallest common multiple of 20 and h?
160
Let q(h) = -5*h**2 + 2*h + 7. Let i be q(-16). Let m = i - -3868/3. Find the common denominator of ((-1)/2)/((-14)/36) and m.
21
Let c = 99 - 91. Let o(v) = -v**3 - 13*v**2 - 12*v + 10. Calculate the smallest common multiple of o(-12) and c.
40
Let a = 11062 - 199015/18. Let j be (-1 + -1 + 0)*-1. What is the common denominator of -71*(-3 + j)/(-2) and a?
18
Calculate the lowest common multiple of 92/5 - -17*20/(-850) and ((-104)/10)/(2/(-10)).
468
Suppose -o + 2*x = -110, 3*o + 5*x = 184 + 91. Calculate the common denominator of (-39)/(-35)*o/90 and (-4)/6 + (-44)/21.
21
Let f(x) = 396*x - 2764. What is the lowest common multiple of 466 and f(7)?
1864
Let x(y) = 97*y**2 - 105*y - 518. What is the smallest common multiple of x(-7) and 1491?
14910
Let y(o) = 2*o**3 + 54*o**2 - 54*o + 54. Let i be y(-28). Let k = -808/15 - -128/3. Find the common denominator of (-8758)/1305 + (-5)/((-25)/i) and k.
45
Let s(u) = u**3 - 29*u**2 - 61*u + 22. Let q = 272 - 241. What is the lowest common multiple of 9 and s(q)?
477
Let o = 138768209/900 - 154187. Find the common denominator of -199/1980 and o.
9900
Suppose -3*x = -2 - 28. Suppose 16*d - x*d + 390 = 0. What is the common denominator of 49/6 and 140/100*d/(-6)?
6
Let k(j) = 30*j**2 + j. Let x = -56815 + 56831. Calculate the smallest common multiple of x and k(2).
976
Let i = 2/7013 - 413783/56104. Calculate the common denominator of i and (-2)/(-54)*-6 - ((-173)/(-396) - 1).
88
Let c = -135 + 477. What is the lowest common multiple of c and 627?
3762
Suppose 62*n - 5012 - 1932 = 0. Suppose -3*a + n = 4*a. Calculate the least common multiple of 6 and a.
48
Suppose 36108 = 29*n - 24096. What is the lowest common multiple of 3460 and n?
10380
Suppose -32*x - 342 = -2*j - 37*x, 5*j - 762 = 3*x. What is the smallest common multiple of 60 and j?
780
Let x(k) = 24*k + 496. What is the smallest common multiple of x(-20) and (-289)/(-4) - 13/52?
144
Suppose -93*j = 39*j + 89*j - 31*j - 4560. Let o = -14 - -10. Let v(b) = -3*b - 3. What is the lowest common multiple of j and v(o)?
72
Let m = -64 + 69. Suppose 3*l - 2*l = -m*k + 110, -306 = -3*l - 3*k. Let g(u) = u**2 - 8*u + 16. Calculate the smallest common multiple of g(3) and l.
100
Suppose 2*g = 3 + 3. Let z(m) = m**3 - m**2 - 16*m + 20. Calculate the least common multiple of g and z(4).
12
Suppose -z - 6 = z + 2*o, 3*z + 4*o = -13. Suppose -2*h - 27 = 15. What is the least common multiple of z and h/21 + -2*(-5)/2?
4
Let f(b) = 2*b**3 - 29*b**2 - 16*b + 25. Let s be f(15). Find the common denominator of 0 + -12 + s - (-91)/15 and -16/159.
795
Let j(y) = y**3 - 9*y**2 + 20*y - 9. Let n be j(6). Let a(x) = 4*x**n + 20*x - 99 - 3*x**3 + 65 + 23*x**2. What is the lowest common multiple of 11 and a(-22)?
110
Let t(d) = 5*d**2 - d + 3. Let c be t(2). Let l be 458/4 - c/14. Suppose 6*s - l = -23. Calculate the lowest common multiple of 15 and s.
15
Let m(l) = -l**3 + 7*l**2 + 7*l - 44. Suppose 5*v - g = 31, g - 12 = 3*v - 31. Calculate the lowest common multiple of 0 + ((-4)/(-2))/2 and m(v).
34
Let c = -8591 - -8727. What is the lowest common multiple of 10 and c?
680
Suppose 0 = 3*b + 3, 182*x = 179*x - 4*b + 869. What is the lowest common multiple of 48 and x?
4656
Suppose 0*q = -2*q + 78. Let r = -8552/1449 + -11/414. What is the common denominator of r and ((-106)/12)/(182/q)?
28
Suppose -4*o + 64 = -2*l, -5*o + 111 + 24 = -5*l. What is the smallest common multiple of 3 and l/(-6) - (-26)/(-39)?
3
Calculate the lowest common multiple of (120/56 + -3)*7/1 + 1066 and 20.
1060
Let m(j) = 40*j**2 - 44*j + 1. Let v be m(3). Let c = 334 - v. What is the lowest common multiple of c and 10?
210
Suppose -197*h + 540 = -188*h. Calculate the lowest common multiple of 1266 and h.
12660
Let j be (-1)/6 - (-111752)/224. Let m = 3452/7 - j. Calculate the common denominator of m and 6 + 830/(-550) + 1/(-11).
60
Let u be (-47)/(-5) + 423/(-45) + 9. Suppose 0 = -u*q + 14*q - 520. Calculate the smallest common multiple of 4 and q.
104
Suppose -57 = 2*p - 5*c, 3*p - 3*c = 8*p + 96. Calculate the common denominator of 31/96 and (-4)/((-448)/121) - p/(-147).
96
Suppose -43 - 5 = 8*n. Let v = -16 - -8. What is the common denominator of n - 95/(-15) - 37/v and 79/6?
24
Let h be 4/16 + (-359)/4. Let k = h - -100. Let g = -124615/18 - -6918. Calculate the common denominator of g and k.
18
Let g = -162 - -199. Suppose -g*c + 228 = -35*c. Let x(o) = 19*o**3 + 2*o**2 - 2*o + 1. What is the lowest common multiple of x(1) and c?
1140
Let g be ((-1260)/(-75))/(6/5 + -1). Find the common denominator of (-3 - (-156)/16)/(-2) and 10/g*-31 - 132/396.
168
Calculate the common denominator of (-554)/1008 - 45/63 and -43/48.
144
What is the lowest common multiple of (-11)/((-2277)/(-18)) - (-140)/23 and 2337?
4674
Let x(b) = 7*b**2 + 454*b + 1844. Calculate the least common multiple of 1220 and x(-4).
8540
Let a = -120 + 259. Suppose 28 = -a*k + 143*k. Calculate the smallest common multiple of k and 35.
35
Let c = -43293/7 + 6178. Let a(j) = j**2 - 8*j + 3. Let t be a(6). Calculate the common denominator of c and ((-6)/t)/((-1)/27).
7
Let o = -14 + 34. Suppose -2*g = -r - 13, 12*g - 14*g = -2*r - 8. Let q = o - g. What is the least common multiple of q and 3?
33
Let s = 610 + -604. Let t = 800 - 476. What is the least common multiple of s and (t/45)/((-2)/(-5))?
18
Suppose 194 = 21*i + 152. Calculate the least common multiple of 60 and (32 - 37) + 1 + 28/i.
60
Let h = -4985 - -7902. Let f = -70051/24 + h. Find the common denominator of -17/33 and f.
264
Let l = 3641/12 + -675/4. Let j = l + -283/2. Find the common denominator of j and (-18)/4*(-5)/((-20)/44).
6
Let u(i) = i**2 + 21*i + 45. Let l be u(-19). Suppose 2*x - 13 = -3*h, l + 0 = 2*x + h. Suppose x*z + 66 = 4*z. What is the lowest common multiple of 27 and z?
297
Let u = -25823 - -27203. Calculate the least common multiple of u and 276.
1380
Find the common denominator of 107/150 and (-44)/6 - 6/9 - 28637/(-3675).
1050
Let o(q) be the third derivative of -q**5/60 + 5*q**4/6 + q**3/6 + 5*q**2. Let y = 507 - 495. Calculate the smallest common multiple of y and o(15).
228
Let t = 1088/57 + 3/38. Calculate the common denominator of t and 49/81.
162
Suppose 477*w + 3*c + 7 = 482*w, -9 = -3*w - 3*c. What is the smallest common multiple of w and 3138?
3138
Suppose 20*w - 6177 + 2738 = 4421. What is the smallest common multiple of w and 54?
7074
Calculate the lowest common multiple of 130 and 7/(-14)*(2 - 28).
130
Suppose 125 = 33*x - 304. What is the common denominator of -71/35 and 1988/1430 - (-4 + 54/x)?
385
Let y = 122 - 117. Suppose -y*s - 147 = 5*d + 118, 4*s - 28 = d. Let c = d - -60. Calculate the least common multiple of 18 and c.
36
Let p(j) be the third derivative of -2*j**5/15 + j**4/8 + j**3/3 + 7*j**2. Let s = -204563/231 - -6194/7. Find the common denominator of p(-2) and s.
33
Let k = 118 - 86. Suppose n + 13 = k. What is the smallest common multiple of n and 1/(-2) + 21/6?
57
Let p = -8 - -32. Suppose -9*h - p = -6. Calculate the lowest common multiple of (-8)/(-6) + 8/3 - h and 8.
24
Let k = -22 - -22. Suppose 29 = j - 5*a, -2*a = 3*j - k - 2. Suppose 3*u = -3*s + 90, 5*s - 42 = -j*u + 105. Calculate the smallest common multiple of s and 27.
27
Let d(c) = -424*c**3 + c - 1. Let n be d(-2). Let r = n - 13471/4. Let q = 14728 + -206309/14. What is the common denominator of r and q?
28
Let x(r) = 9*r**2 + 2*r + 100. What is the lowest common multiple of x(0) and 4?
100
Let y = -354 + 390. What is the least common multiple of y and 1080?
1080
Let b = -12/55 + -181/330. Let u = -24717821 - -444707017/18. Let l = u + 11869. What is the common denominator of b and l?
90
Suppose -531*r = -528*r - 4*f - 6289, -5*f + 25 = 0. Calculate the lowest common multiple of r and 9.
6309
Suppose -5*n + 16 = 1. Let z be n/(-4) - ((-370111)/20)/7. Let i = z - 2646. What is the common denominator of i and -14/5?
10
Let f = 85541/178409 + -291/662. What is the common denominator of f and -43/28?
2156
Let y = -10648141531/3164 - -3365405. What is the common denominator of -33/32 and y?
25312
Let j = 323 + -598. Let k = -263 - j. What is the least common multiple of 