f 210 and w.
840
Let w = -319 + 380. Suppose 9*q - 83 = w. What is the smallest common multiple of 4 and q?
16
Suppose 2*c - 6 = 2*o, -4*o = c - 3*c + 16. Find the common denominator of 50/(-400) - 285/96 and (c + 114/(-8))/(-9).
288
Let p = -14752/7 - -2113. Find the common denominator of p and 15/164.
1148
What is the common denominator of 32*((-4)/18 + (-171)/324) and 2/213?
213
Let y(d) be the third derivative of 5*d**4/24 - 2*d**3/3 + 23*d**2. Let m be y(3). Suppose m*k = 13*k - 120. What is the lowest common multiple of k and 15?
60
Let w(c) = c**3 + 15*c**2 + c + 24. Let r be w(-15). Calculate the common denominator of 3/120 + (-2)/5 and (r/(-168))/(17/(-1020)).
56
Suppose 10*b + 325 = -2*c + 9*b, 4*b - 644 = 4*c. What is the common denominator of (51/8)/(-3) + c/(-324) and -3/2?
8
Let a = 10992 + -10978. What is the smallest common multiple of a and 806?
5642
Let l(i) = -5*i**2 - 70*i - 10. Let k(n) = n**3 + 8*n**2 + 16*n + 11. Let z be k(-6). What is the least common multiple of 55 and l(z)?
55
Let l be ((-42)/70)/((-15)/175). Suppose -2*y + 5 = 2*k - l, -k = 2. Calculate the lowest common multiple of 114 and y.
456
Suppose -48*q - 313 = -49*q. Suppose 4*j = 20, -p - p + q = 5*j. Calculate the common denominator of (131/1)/(p/(-12)) and 7/22.
132
Let i be (-4)/(6/(-8919)*-1). Let x = i - -95173/16. Let n = 1695 - 5026/3. What is the common denominator of x and n?
48
Let v = 8058660 + -112942603/14. Let b = v + 8676. Let w = 10213/10 - 1016. Find the common denominator of w and b.
70
Let n be (-5)/5 - 4/(-4). Suppose n = -8*y - 144 + 344. Calculate the lowest common multiple of 30 and y.
150
Let a = -2773/1076 + -5/807. Calculate the common denominator of a and 1/5*-1*51975/1540.
12
Suppose -t = t - 2. Let q(b) = 0 + 5 + 6*b - t + b**2 - 2*b**2. Calculate the smallest common multiple of q(4) and 5.
60
Let o = -42027 + 294167/7. Suppose -290 = -4*l + 50. What is the common denominator of o and l/(-6)*(-12)/(-45)?
63
Let u = 20 + -11. Suppose -a - 203 = -u. Calculate the common denominator of (-81)/(-108)*a/(-9) and -39/62.
186
Let d = -231274 - -82564766/357. What is the common denominator of d and -76/273?
4641
Suppose h - 2899 = -2*p, 0 = -6*p + p - 5*h + 7245. What is the smallest common multiple of p and 232?
5800
Let r be 10/11 + (-7)/(7/(-2)). Let u = -178/99 + r. Calculate the common denominator of -131/12 and u.
36
Let a = -5742 + 5750. What is the smallest common multiple of a and 984?
984
Let d be ((-84)/1)/(646/(-6205)). Let v = -645361/798 + d. Find the common denominator of -57/10 and v.
210
Let n(p) = p**3 + 8*p**2 - p - 70. Let b = -138 - -295. Calculate the least common multiple of b and n(-6).
1256
Suppose 0 = -2*r - o + 112, -30*r - 4*o + 1028 = -12*r. What is the least common multiple of 319 and r?
638
Suppose 0 = 23*c - 24*c - 20. Let x = -31 - c. Calculate the common denominator of 9/7 and (x/(-40))/((18/(-8))/(-9)).
70
Let z = 6033 + -6003. What is the lowest common multiple of z and 5660?
16980
Suppose 3*p = 2*g - 70427, p - 4*g + 24547 - 1078 = 0. Let t = -516391/22 - p. Let o = 79459/14 + -5672. What is the common denominator of o and t?
154
Suppose 15*z + 1059 - 174 = 0. Suppose t - 10 + 31 = 0. Find the common denominator of 11/30 and 14/t + z/(-27).
270
Let g = -96 + 111. Let a = -9 + 21. Suppose -a*u - 36 = -15*u. What is the smallest common multiple of u and g?
60
Let d = -385493 - -385508. Suppose 4*k + 82 = 2*u, 3*k + 5*u + 80 = -2*k. Let c = 5 - k. Calculate the smallest common multiple of c and d.
120
Suppose -f - 86 = -3*p, 304 = -p - 5*f + 354. What is the smallest common multiple of p and 1810?
5430
Find the common denominator of 13/(165828/1)*(-2 - 224) and 89/20.
63780
Let h(m) = -m**2 + 7*m - 6. Let c be h(4). Suppose -6*s = -c + 6. Calculate the least common multiple of 12 and 9/(1*((0 - -1) + s)).
36
Let y(g) be the second derivative of g**5/20 + g**3/6 + 18*g**2 + g + 4. Calculate the lowest common multiple of 11 and y(0).
396
Suppose -v = u + 4*v + 9, 0 = -4*v - 8. Suppose 4*f = 4*d - 84 + 500, 2*f - 408 = 4*d. Let a = d + 109. What is the least common multiple of u and a?
9
Let b(s) = -2*s**2 - 62*s - 292. Calculate the smallest common multiple of b(-25) and 295.
2360
Let w(y) = 3*y**2 - 23*y + 54. Calculate the smallest common multiple of 2270 and w(16).
2270
Let f = -6994 + 7469. Calculate the smallest common multiple of f and 2.
950
Let s(h) = -7*h + 16. Suppose -2 = -5*r - 4*b, 4*r = b + 7 + 3. What is the least common multiple of 50 and s(r)?
50
Suppose 3*x - 10 = -2*x. Let u = 38 - 35. Suppose 4*o - 30 = 2*d, 0*o - o + 15 = -u*d. Calculate the smallest common multiple of o and x.
6
Let m = -218 + 221. Find the common denominator of -2 - m/(-2)*280/(-147) and 13/72.
504
Suppose -24 + 3 = -7*t. Suppose 1169 = -2*k - 2*k - 3*x, 0 = t*k - x + 893. Calculate the common denominator of 37/3 and k/352*(-4 + 0).
33
Suppose -3*a = -2*b + 44, 0 = -4*b + 8*b + 20. Let n = 4216 + -42119/10. What is the common denominator of n and (-427)/20 + a/45?
20
Let h = 419 + -203. Let u be (h/(-90))/(4/20506). Let o = u - -7873919/640. What is the common denominator of o and -11/16?
128
Let h be (3 + (-115)/15)*3. Let y be (-638193)/(-106260) - 2/h. Let q = y + -25/253. What is the common denominator of q and 19/42?
420
Let a = 93 + -96. Let u be a/6*34 - (-5 + 2). What is the common denominator of 1716/210 + 8/u and -3/11?
55
Let a = -512 - -101. Let n = 413 + a. Calculate the smallest common multiple of n and 349.
698
Let l = 16598/165 + -496/5. Let o = -175/38 + -769/456. What is the common denominator of o and l?
264
Let s = -349896 - -32540891/93. Let u = -12/31 + s. Let r = 4167/221 + -348/17. What is the common denominator of u and r?
39
What is the common denominator of 107/14 and (-2200)/(-400)*(-2)/106?
742
Let h = 27 - 18. Let v = 1257 - 695. Let i = 595 - v. What is the least common multiple of i and h?
99
Suppose 562 = 5*o + 3*c, -110*o + 111*o - 3*c - 98 = 0. What is the smallest common multiple of 1760 and o?
1760
What is the smallest common multiple of 3*(140/(-12))/(-7) - -2*750 and 1720?
12040
Suppose 3*z = 12*z + 3*z. What is the common denominator of 13/6 and -2 - (z + -1)*(-320)/(-352)?
66
Let u = -61 - -19. Let w be ((-111)/45)/(2631/(-657) - -4). Let b = w - 541. Find the common denominator of u and b.
5
Calculate the common denominator of -12 + (19177/1371 - 2) and -73/30.
13710
Let u = -102 - -98. Let a be (u/(-8)*28)/((-1)/60). Calculate the smallest common multiple of (-4)/10*a/12 and 32.
224
Suppose 0 = 4*j + 5*p - 609, p = 6*p + 15. Suppose -252 = -44*x - 7*x + 156. Calculate the least common multiple of j and x.
312
Let y = 169837381178/24999 + -6793767. What is the common denominator of y and -24/11?
274989
Let j be 5 - (-5 + 15 + -6 - -2). Calculate the common denominator of -69/8 and -6 - ((-392)/72 - j).
72
Let x = -19376 + 20900. Calculate the smallest common multiple of 6 and x.
1524
Let v be (3/15)/((-4)/(-2 - 18)). Let d be ((-12549)/(-18) - v) + 4/(-24). Suppose 15*g - 9*g = d. Calculate the lowest common multiple of g and 18.
1044
Let k(r) be the second derivative of -2*r**3/3 - 2*r - 76. Calculate the smallest common multiple of k(-1) and 60.
60
Let i = -44 - -47. Suppose 0 = -i*p + 4*b + 10, b = 4*p - 9. Suppose -p*a + 12 + 3 = -5*f, -f - 6 = -a. What is the smallest common multiple of 1 and a?
5
Let m = 78927/10 + -7882. Find the common denominator of m and 95/1816.
9080
Suppose -10*p = -99 - 681. Suppose -174 - p = -7*m. What is the least common multiple of m and 20?
180
Let u be 2/(-8) + (-6039)/36. Calculate the common denominator of -75/8 and (u/(-128))/((-18)/(-33)).
32
Let f be (-1 - -10)*(30 - -1) + 0. Suppose 37*u - f = 34*u. Calculate the least common multiple of u and 2.
186
Let t = 3580471/96 - 37297. Find the common denominator of (-4 + 621/156)*534/9 and t.
1248
Let m = -10368 - -10408. What is the least common multiple of 158 and m?
3160
Let z = -2025 - -2061. Let m = 403788 + -4438490/11. Let k = m + -187678/649. Calculate the common denominator of z and k.
59
Suppose 0 = 3*v + 252 - 324. Let n(t) = -26*t + 10. Calculate the lowest common multiple of v and n(-1).
72
Let c be (0 + -15 - 0)*(-2)/(-5). What is the common denominator of -7/16 and (7/c 