78 and ((-130)/(-520) + (-58)/240)/(6/376)?
1890
Calculate the smallest common multiple of 2 and -4 - 1 - (-337716)/477.
1406
Suppose y + 5*a = -y + 62, 2*y - 5*a = 22. Let v = -159 - -657/4. What is the common denominator of v and 3 - (-4 + 36/y)?
28
Let u(a) = 5*a**2 + 2 - 6*a**3 - 6 + 9*a**3 + 2*a + a. Let c be u(-3). Calculate the lowest common multiple of 35/(-10) + 3 + c/(-2) and 16.
48
Suppose 2 = -f + 12. Let q(l) = -l**2 + l + 1. Let c be q(-1). Calculate the least common multiple of f and 12 - 0*c/(-3).
60
Let z = -348 - 399. What is the smallest common multiple of 9 and z/(-18) + 1*5/(-10)?
369
Suppose -3*a = -4*s - 20560, 0*s - 3*a + 15423 = -3*s. Let q = 46177/9 + s. Calculate the common denominator of 8/((-96)/6)*((-585)/87 + 4) and q.
522
Suppose 0 = 2*u - 4*k + 188, 2*k + 46 + 52 = -u. What is the common denominator of (-1000)/u*6/(-15) and -61/54?
54
Let n = 2757 - 3832229/1390. What is the common denominator of 57/110 and n?
15290
Let f be 78/16 - 10/(-80). Calculate the lowest common multiple of (-315)/10*f/10*-4 and 15.
315
Suppose -5*x - 5*d = -30, -2*d + 0*d = -6. Let c(o) = -5*o**2 + 3*o - 1. Let l be c(2). What is the least common multiple of x and ((-5)/l)/((-2)/(-36))?
6
Let p = -22135/14 - -1582. Let s = -341603/12 + 28479. Find the common denominator of p and s.
84
Let c = -45 + 42. Let o be ((-2)/c)/((-28)/893634). Let r = o + 1787225/84. Find the common denominator of r and -119/6.
84
Let l = -9449 + 11505. What is the smallest common multiple of 4 and l?
2056
Let f = -2223462126517 - -1048515811539942336/471569. Let g = f - -1/32522. Let m = g - 3317/348. Calculate the common denominator of m and 87/4.
12
Find the common denominator of -65/522 and -1*4/(-20) + (-1848)/(-3060).
8874
Suppose -10 = 5*g, 4*g - 2*g = 3*a - 91. Suppose -a*s + 110 = -24*s. Calculate the lowest common multiple of s and 20.
220
Let w(y) = -y**3 + 7*y**2 + 7*y - 5. Let z(j) = 411*j**3 - 6*j**2 + 2 + 3*j - 410*j**3 + 2*j. What is the smallest common multiple of w(7) and z(5)?
44
Let y(h) = 8*h - 76. Let r be y(9). Let j(b) = b**3 - 7*b**2 - 7*b - 7. Let o be j(8). Calculate the lowest common multiple of 8 and (-1 - r*(4 - 1)) + o.
24
Let i(w) be the second derivative of 4*w + 2/3*w**4 + 0*w**3 + 0 - w**2. What is the least common multiple of 8 and i(1)?
24
Suppose -12 = -3*p + 3*m, 8*p = 11*p - 4*m - 13. Suppose 0 = -3*z - p, -18*n = -22*n + 4*z + 2228. What is the least common multiple of 4 and n?
556
Let x be (11 + -11)*2/6. Suppose x = -10*i - 5 - 15. Calculate the common denominator of ((-535)/110 - i)/1 and 53/122.
1342
Let n = -79 + 159. Suppose 3*z - j = n, -4*j + 6 = -4*z + 102. Calculate the least common multiple of 36 and z.
252
Let g be 1 - (-4 - -2)*4. Calculate the common denominator of (g/(-6))/(11/1) and 10/16*297/135.
88
Let g = -104 - -94. Let h be (92/g)/((-4)/10). Let f = h + -2. Calculate the smallest common multiple of f and 33.
231
Suppose 3*c + 615 = -12*c. Let n = c - -57. Calculate the lowest common multiple of n and 2.
16
Let j(y) = -6*y**2 + 14*y + 20. Let f be j(-5). Calculate the common denominator of (-295)/f - (-12)/(-32) and (-2)/4 - 11/24.
120
Calculate the common denominator of -73/9 and -274*(-46)/(-75696) + -24*14/(-3192).
2988
Let m(n) = 9*n**2 + 2*n - 3. Let g be m(-4). Let s = 6720 - 6845. Let x = s + g. What is the smallest common multiple of 12 and x?
24
Suppose 0*z + 39 = 3*z - 5*c, -5*z - 4*c + 65 = 0. Let n(l) = -l**3 + 13*l**2 + 3. Let s = 32 - -1. What is the lowest common multiple of s and n(z)?
33
Suppose 36 = 9*g - 171. Suppose g*o = y + 24*o - 4, 5*o = 2*y - 22. Calculate the lowest common multiple of 51 and y.
102
Let l(w) = w**3 - 4*w**2 - 2*w - 6. Let i be l(5). Suppose i*n - 2*n = -84. Find the common denominator of 2/n + 33/(-2) and -39/10.
30
What is the least common multiple of (4 + (-44)/14)/(-4*(-6)/392) and 136?
952
Suppose -172*u = 58*u - 7130. Calculate the least common multiple of 11 and u.
341
Let c be (1 - 3)*36/(-8). Suppose 0 = b - c - 12. Suppose 182 + 46 = 238*z - 486. What is the least common multiple of b and z?
21
Let y = -132 + 14. Let a = y + 129. Find the common denominator of 49/94 and a/(-5) - -2 - 389/30.
282
Suppose -s - 4*s + 70 = 0. Let f(b) = -2*b**2 - 7949*b - 55529. Calculate the least common multiple of f(-7) and s.
112
Suppose o - 3*j = 24, 0 = 3*o - 6*o + 4*j + 72. Suppose 12 = -23*r + o*r. Calculate the lowest common multiple of r and 128.
384
Let b(w) = 2*w**2 - 166*w + 1896. Calculate the lowest common multiple of b(74) and 40.
5640
Suppose 0 = 3*v + b - 2189, 0 = -v + 47*b - 42*b + 719. What is the lowest common multiple of v and 81?
729
Let a = -2430 + 2454. What is the least common multiple of a and 648?
648
Suppose 11*z = -0*z + 22. Calculate the lowest common multiple of 7 and -10*6/(-24)*z.
35
Suppose 2310*s + 1188 = 2328*s. Calculate the smallest common multiple of 176 and s.
528
Let i(x) = x**3 + 15*x**2 - 126*x + 10. Suppose 2*c - 16 = -2*v, -3*c + 20 = -0*v + v. Calculate the least common multiple of i(-21) and c.
30
Let m = -22749 + 636927/28. What is the common denominator of m and -101/4924?
34468
Let t be 21 + 4 + ((-6)/1)/1. What is the common denominator of (t/8)/((-8)/48) and 125/426?
852
Suppose 5*w - 7*w = -8. Let m(l) = -l**2 - 13*l - 24. Let f be m(-10). Calculate the smallest common multiple of ((-9)/f)/((-4)/(120/9)) and w.
20
Suppose 0 = -3*y + 4*q, -3*y + 2*q = -0*y. Suppose z - 10 + 7 = y. What is the least common multiple of z and 11?
33
Calculate the least common multiple of 36 and 24510/255 + 2/(-17).
288
Let z = -301877/22 - -13724. Find the common denominator of z and 81/4994.
4994
Suppose 2*m = 4*r - 14 - 2, -2*r + 3*m + 4 = 0. Let z = 53 - 110. Let u = z - -63. Calculate the smallest common multiple of u and r.
30
Let y = -108587/38990 + -2/2785. Let i(m) = 24034*m**2 + 1. Let u be i(-1). Let r = -528675/22 + u. What is the common denominator of y and r?
154
Let m = -105 + 207. What is the least common multiple of (28/18 - 8/4) + (-602)/(-18) and m?
1122
Let u(m) = -m**3 - 13*m**2 - 15*m. Suppose 43*b - 66*b = -1863. Calculate the lowest common multiple of b and u(-12).
324
Let k = 7859 + -94373/12. Suppose 4*q = -7*d + 3*d + 252, -d + 123 = 2*q. What is the common denominator of k and (-216)/q*(-25)/(-8)?
12
Suppose -4*a + 56 = -4*c, -6*c = -c + 4*a + 34. Let m be c/(-4)*(19 + -31). Calculate the common denominator of 4/m*(-56)/(-32) and -59/6.
30
What is the common denominator of ((-2809245)/(-215954) - 13)*-1 and -13/8?
45464
Let w = 315 - 185. Let f = -457623 + 457639. What is the smallest common multiple of f and w?
1040
Suppose 5*y - 23 = 17. Let r = 159 + -113. Let w = r - 34. What is the least common multiple of w and y?
24
Let l(d) = -2*d**2 + 13*d + 2. Let t be l(7). Calculate the common denominator of -102*t/66*(-44)/165 and -55/36.
396
Let p = 1401 + -11233/8. What is the common denominator of 43/1298 and p?
5192
Let p = 362243812/6201 + -58417. Calculate the common denominator of p and 76/3.
6201
Suppose 6*x - 238 = -22. Let s(t) = 0*t + 21*t - 13*t - 10. Calculate the least common multiple of x and s(2).
36
Suppose -14*o - 22*o = -36. What is the lowest common multiple of o and 1?
1
Let i = 30973/96 - 322. What is the common denominator of 91/30 and i?
480
Let x = 39 + -64. Let k be -3 + (-32)/(-10) + (-12595)/x. What is the common denominator of ((-658)/k)/((-6)/8) and -29/3?
27
Find the common denominator of (154/(-6) - 3)*(-90)/(-5760) and -47/4832.
14496
Suppose -7*n + 3*n + 64 = 0. Suppose -4*i + 12 + n = 0. What is the smallest common multiple of i and (-450)/180 - 9/(-2)?
14
Let l(r) = 13*r**2 - 13*r - 60. Let s be l(-10). Let q = s + -10995/8. Find the common denominator of (-2)/((-146)/162 - -1) and q.
8
Let j be (-4)/(-2) + 142344066/(-48). Let w = j + 2960644. Let d = w - -4845. Find the common denominator of d and 5/22.
88
Let d(r) = 4*r**2 + 445*r + 5809. Calculate the lowest common multiple of 5 and d(-13).
700
Let q be (0 + 4)/4*6*-8. Let w = 53 + q. Suppose -4*f + 20 = 7*i - 3*i, -3*f = w*i - 35. What is the lowest common multiple of 4 and i?
20
Let i = 16546 - 15415. What is the least common multiple of i and 260?
22620
Let t(a) = a + 18. Let z(y) = -y**2 + y + 31. Let k be z(7). Let 