Find the common denominator of x and -1 - ((-534)/(-44))/(-3).
110
Calculate the common denominator of (316/45 - 7)/((-8)/(-102)) and 3/70.
420
Let k = -24 + 27. Suppose -2*v - 5 = k*d, 13 = -2*v - 4*d + 5. Calculate the lowest common multiple of v and 9.
18
Let b = 172/9 + -52/3. What is the common denominator of 129/30 + 2/(-5) and b?
90
Let x = -2/549 + -2011/549. Let v = -97817/56 - -5931/8. Let c = -1010 - v. Calculate the common denominator of c and x.
42
Let p = 4 - 0. Suppose -2*v - 8 = -2*f - 24, 0 = -4*v + f + 41. What is the least common multiple of v and p?
44
Let p be 4/3 - 4/(-6). Let n = p + 1. Suppose -n*z = -6*z + 15. What is the smallest common multiple of 5 and z?
5
What is the lowest common multiple of 22 and -9 - (-10 + 0 + -7)?
88
Let h = -268 + 280. What is the least common multiple of h and 66?
132
Suppose -1 = 9*d - 28. Calculate the smallest common multiple of d and 424.
1272
Calculate the least common multiple of 133 - 7/((-98)/(-154)) and 46.
2806
Suppose 7*o - 433 - 575 = 0. Calculate the least common multiple of 372 and o.
4464
Find the common denominator of 29/108 and -6 + 11 - (-2332)/(-336).
756
Let r = -51 + 114. Let l = r - 59. Calculate the lowest common multiple of l and 14.
28
Let s(m) = m**3 + 13*m**2 - m - 6. Let n be s(-13). Let y be (28/23)/(2/n). Let b = -981/322 + y. Calculate the common denominator of 13/6 and b.
42
Let c(o) = -3*o - 5. Let i(g) = -g**3 - 12*g**2 + 44*g - 14. What is the smallest common multiple of c(-6) and i(-15)?
13
Suppose 0 = -9*g - 8*g + 1530. Calculate the lowest common multiple of g and 6.
90
Let l = -268 + 320. Let n = 89 + -61. What is the lowest common multiple of l and n?
364
Calculate the common denominator of -109/208 and 15/3 + (-22330)/4368.
624
Suppose -3*g = -4*t - 7, -4*g - 3*t = -4*t - 5. What is the lowest common multiple of 150 and g?
150
Suppose -790 = -11*n - 636. What is the lowest common multiple of n and 4?
28
Let h = 4838269/890490 - -2/29683. Let j = 19081/17409 - 2/2487. What is the common denominator of j and h?
210
Let a be (-3)/(9/(-21)) - 4. Suppose -4*j + 4*o = -20 - 20, j + a*o = 6. Let y = 15 - 7. Calculate the lowest common multiple of j and y.
72
Let i = 9409/4 - 2367. Calculate the common denominator of i and 252/63 + ((-258)/80 - 1).
40
Suppose -3*m - 13 = -2*u, -2*u + 8 - 2 = 4*m. Suppose -23 - 12 = -3*p + u*n, 0 = -5*p - 4*n + 120. What is the smallest common multiple of 212 and p?
1060
Let p = 4576503185447185/52938 + -86450247189. Let t = p - 1/8823. Let s = -1/12594 - 80810/18891. Find the common denominator of s and t.
18
Let v = -79899/20 - -3991. What is the common denominator of -69/56 and v?
280
Suppose -4*f + 2*z = -166, 10*z - 12*z = 3*f - 128. What is the lowest common multiple of 183 and f?
2562
What is the common denominator of 4/(-288)*4*(-94)/12 and -11/18?
108
Suppose -a - 10 = -6*a. Suppose a*z - 13 + 15 = 0. What is the common denominator of -63/22 and z + -1 - (-314)/12?
66
Let a be 11 - (0/(-3) + -1). Calculate the common denominator of (-168)/80*5/a and 26/15.
120
Let s = 841/6 - 2176/15. Find the common denominator of 83/147 and s.
1470
Let l(i) = -70*i - 965. Let x(y) = -11*y - 1. Calculate the least common multiple of l(-14) and x(-1).
30
Let c(o) = -o**2 + 9*o + 8. Let v be c(7). What is the common denominator of ((-9)/2)/((-10)/25) and (-1 - v/(-12))*45?
4
Let i = 960 - 30725/32. Let a = 109/716 - 2/895. Calculate the common denominator of i and a.
160
Let u = -26/29 - -219/406. Suppose -9*o + 8*o + 192 = 0. Find the common denominator of u and 628/o + 4/6.
112
Let w(a) = 16*a**2. Let p(y) = -y**3 - 7*y**2 - 5. Let l be p(-7). Calculate the lowest common multiple of (-4 - l)/((-1)/(-2)) and w(1).
16
Let n = -6193 - -346925/56. Calculate the common denominator of 33/28 and n.
56
Let p be -1*1*-47001 + 3. Let k be (-3)/(2/(p/9)). Let x = k - -140953/18. Find the common denominator of x and 99/4.
36
Let p = 99421/16 - 6218. Calculate the common denominator of p and 21/11.
176
Let r = 132/161 - -10375/1288. Find the common denominator of r and 55/8.
8
Let f be 15565/(-120)*(-3 + 2)*-14. Let s = -1809 - f. What is the common denominator of s and 1/16*-7*-3?
48
Let q(w) = -2*w + 0*w + 5*w. Find the common denominator of q(-5) and ((-304)/112*21/(-18))/((-12)/(-8)).
9
Suppose w = -0*w - 58. Let v = w + 63. Calculate the smallest common multiple of 11 and v.
55
Let f be (95/10)/((-3)/(-7572)). Let a be (-3 - f)/((-56)/(-20)). Let j = -8572 - a. Find the common denominator of 143/6 and j.
42
Let w be (-1*(-4 - -5))/((-1)/(-1)). Find the common denominator of -19/16 and (-875)/(-14)*w/12.
48
Calculate the least common multiple of 44 and (-4 + 1)/((-348)/5104).
44
Let v(c) = c**2 + 9*c - 9. Let s be v(6). Suppose 5*j + 16 - s = 0. Calculate the smallest common multiple of j and 6.
78
Suppose 29*r - 105 = 26*r. Find the common denominator of -101/12 and ((-4)/(-8))/((-1)/r).
12
Calculate the common denominator of 185/(-450) - 2/9 and 7/(-28)*-2 + -15.
30
Suppose 0 = 4*y + 8, -4*c - y - 20 = -306. What is the lowest common multiple of 288 and c?
288
Calculate the smallest common multiple of 7 and (1 + 0)/(-1 + (-360)/(-354)).
413
Let m = -65 - -75. What is the smallest common multiple of 27 and m?
270
Let o = 20 - 15. Let t(x) = -x**3 + 2*x + 1. Let u be t(-1). Suppose 4*a - 2*a - 16 = u. Calculate the smallest common multiple of a and o.
40
Let p be (584/32)/((-3162)/(-2902)). Let g = p + 1/1581. What is the common denominator of g and ((-582)/32)/((-24)/16)?
8
Suppose 4*f - 839 = 349. Calculate the smallest common multiple of f and 33.
297
Let d = 22 + -40. What is the lowest common multiple of 9 and 1 + 7 + (-6 - d) + -8?
36
Let y(d) = -d**2 + d - 16720. Let x be y(0). Let z = -1018 + 2093/2. What is the common denominator of z and x/1344 + 1/(-7)?
12
Suppose 3*o - 122 = g, 0 = -g + 3 + 1. What is the least common multiple of 16 and o?
336
Let l(t) = t. Let m be l(-10). Let j = m + 10. Suppose -5*x + 43 + 27 = j. What is the common denominator of -76/3 and x?
3
Suppose -19*s + 6906 + 1150 = 0. Calculate the lowest common multiple of s and 12.
1272
Let a be 19/4 + 2/8. Suppose 0*g + 34 = 5*z - 4*g, a*z - 2*g - 32 = 0. Calculate the lowest common multiple of 3 and z.
6
Let c = 149099/234 - 637. What is the common denominator of c and 79/2?
234
Let h = 100 - 68. Suppose -6*p - h = -10*p. What is the smallest common multiple of 4 and p?
8
Let w(j) = 2*j + j**2 - 3*j + 2 + 8*j. Suppose -z - 3 - 1 = -2*y, 2*z + 5*y - 37 = 0. What is the least common multiple of z and w(-7)?
6
Let u = 1822 + -1219. Calculate the smallest common multiple of 2 and u.
1206
Let o(s) = -s**2 + s + 1. Let x(q) = -6*q**2 - 17*q - 28. Let n(y) = -5*o(y) + x(y). Calculate the smallest common multiple of n(-20) and 7.
7
Let k = 8804 + -43538/5. Let q = k - 3377/30. Calculate the common denominator of q and 103/22.
66
Let w(t) = t**3 - 7*t**2 + 2*t - 4. Let z be w(7). Suppose z + 5 = 5*a. Suppose -70 = -a*j + 104. What is the smallest common multiple of j and 12?
348
Let y = -1471/62 - 55/31. Find the common denominator of y and -157/78.
78
Suppose 2*m + 2*t = -6 + 2, 3*m = -5*t - 12. Let i(b) = b**2 - 3*b. Let g be i(-2). Suppose 17*d = 22*d - g. What is the least common multiple of m and d?
2
Let u be (1 + (-5)/(-3))*6. Let k = -11 + u. Calculate the smallest common multiple of 6 and k.
30
Let n(g) = -g**3 - 14*g**2 + 14*g + 5. Let s be n(-15). Suppose 5*v - 33 = -i, 2*v = -0*v + 3*i + s. Calculate the smallest common multiple of 7 and v.
7
Let s = 2641 + -29014/11. Calculate the common denominator of (24/50)/(6/(-45)) and s.
55
Let d = 1854945/28 + -66256. Let r = 410/7797 - 7026625/2401476. Let m = d - r. Calculate the common denominator of m and 27.
11
Let a = 26 - 23. Suppose 3*j - 2*n - 63 = a*n, -2*j + 35 = -n. Calculate the smallest common multiple of j and 7.
112
Suppose -49*m = -35*m - 56. What is the lowest common multiple of 12 and m?
12
Let j be (-3)/(36/(-50)) + 2/(-12). Suppose 3*v = j*v - 4. What is the smallest common multiple of v and 14?
28
Let p(h) = h**3 - 4*h**2 - h + 4. Suppose 17 = 3*n + 8. Let a be p(n). Let v = a + 10. What is the least common multiple of 16 and v?
16
Let v(m) = 2*m**3 + m - 1. Let w be v(1). Suppose 0 = s + 3*