nd n.
80
Let r(j) = -j**2 - 16*j - 72. Let o be r(-7). Find the common denominator of -2 + -5 + (-122)/o and 73/12.
36
Suppose 0 = 3*k + 2*l - 118, 0 = 4*k + 3*l - 0*l - 159. Calculate the common denominator of 87/32 and 27/k - (-50)/32.
32
Find the common denominator of (-19 + 18 + 202/16)*37/(-111) and -8/207.
1656
Suppose -18 = 10*h + 2. Find the common denominator of -10/33 and ((-14)/1029)/(h/(-23)).
1617
Let p = -2799 + 2849. Calculate the least common multiple of 120 and p.
600
Let p(n) = -115*n**3 + 12*n + 34. What is the smallest common multiple of 186 and p(-2)?
930
Let m = -115 + 219. Let l = 146 - m. Let n = 21 + -13. What is the smallest common multiple of n and l?
168
Let m(r) = 12 - 23*r + 0*r - 128 - 3*r**2 + 2*r**2. What is the smallest common multiple of 14 and m(-15)?
28
Suppose 4*t + 274 = 294. Suppose t*w - 5*i - 189 = -9, -27 = -w - 2*i. What is the least common multiple of 177 and w?
1947
Suppose 15*q + 2596 = 2746. Calculate the lowest common multiple of 855 and q.
1710
Let m be -1*(-10)/3*(-63)/35. Let w = -2488505/122 - -20397. What is the common denominator of w and (-111)/(-30) - (-42)/m?
610
Let c = 345142565/1356 + -254530. Calculate the common denominator of -76/33 and c.
14916
Let m = -1167194/3 + 5404107971/13890. What is the common denominator of 4/9 and m?
41670
Suppose -82*r + 16 = -78*r. Suppose -4*o + 217 = r*y + 5, 3*o + 111 = 2*y. What is the smallest common multiple of 12 and y?
108
Suppose -2*x + x - 21403 = 0. What is the common denominator of 2/19 + 3416/3648 and x/(-3570) - (-6)/(-14)?
120
Let l(k) = k**3 + 8*k**2 + 3*k + 39. Let w(y) = -4*y**2 - 41*y + 25. Let a be w(-11). What is the lowest common multiple of l(a) and 20?
60
Suppose -3*a + 64 = 13*a. Suppose 7 = p + 4*o, a*p + 4*o - 1 = 5*p. What is the smallest common multiple of p and 122?
366
Suppose 0 = -f, 10*f - 15*f + 8 = 4*p. Calculate the lowest common multiple of 11 - ((-6)/2 + 4)/(-1) and p.
12
Let p(x) = -36*x**2 - 2302*x + 134. What is the least common multiple of p(-64) and 2056?
6168
Let n = 6 + -15. What is the smallest common multiple of 16 - (-1)/(-2)*0/n and 8?
16
Let n = 6 + -4. Let z be 5 - 0*(-6)/30. Suppose -z*k = 3*m - m - 79, 4 = n*m. What is the smallest common multiple of k and 15?
15
Suppose 13 = 4*r - 5*h, 4*h - 2 = -r - 2*r. Calculate the least common multiple of 10 and (-1)/r + 1368/48.
140
Suppose 0 = 7*l - l - 1176. Calculate the common denominator of -2 + 3/((-144)/l) and 10/144*(-285)/(-50).
48
Suppose 3*p = -p + 1608. Suppose 27 = -15*h + p. Let v = 3 + 2. What is the least common multiple of v and h?
25
Suppose 7*u - 32 = 3*u. Let g(a) be the first derivative of -2*a**3/3 - 30*a**2 + 5*a + 23. What is the smallest common multiple of g(-30) and u?
40
Suppose 9588*q = 9577*q + 495. Calculate the least common multiple of q and 90.
90
Let a(q) = q**2 - 7*q + 5. Let m be a(11). Suppose 58 - m = 3*l. What is the lowest common multiple of 56 and l?
168
Let u = -40639103/404 - -100592. Calculate the common denominator of 41/24 and u.
2424
Let k(d) = -d**3 - 2*d**2 + 8*d - 26. Let x be k(-7). Let t = x + -79. What is the least common multiple of t and 70?
420
Let n = 1357513 + -2410943197/1776. What is the common denominator of -91/8 and n?
1776
Let z(b) = 16*b + 12. Let d be z(-5). What is the common denominator of (9/54)/((-123)/60 - -2) and -1 + 0 + d/(-42)?
21
Let r(m) = 420*m + 5682. What is the least common multiple of r(-13) and 259?
1554
Let o be (1 + (-1915)/25)/((-6)/30). Find the common denominator of (-7)/(o/(-188)) - (19 - 16) and -163/180.
540
Let w be (-233)/11 - (-28)/154. Let p = -18 - w. Let q(o) = o. What is the lowest common multiple of 4 and q(p)?
12
Suppose -3*m = m - 4*c - 40, -23 = -3*m - 4*c. Let g = -8 + 81. Let x = g + -69. What is the smallest common multiple of m and x?
36
Suppose 1639*p - 1774*p + 496530 = 0. What is the lowest common multiple of p and 1?
3678
Let p = -51200/131 - -176040665/450378. Calculate the common denominator of 14/11 and p.
37818
Suppose -4*y + 4*k - 2016 = 0, 1399 = -5*y - k - 1115. Let w = 565 + y. Calculate the smallest common multiple of w and 10.
310
What is the lowest common multiple of 8 and 8/(-4 - -6)*(17 + 230)?
1976
Let s = 2410314082549/7405075470 - -21/18987373. Let z = 3237/10 - s. What is the common denominator of -107/18 and z?
234
Let y = 68177638 + -20998692637/308. Let p = y - 445/7. What is the common denominator of 43/6 and p?
132
Let i be ((-18)/70)/((-21)/(526995/(-868))). Let c = -17/124 + i. Calculate the common denominator of c and (-2)/(-12)*268/6.
63
Let b(u) = 4*u**2 + 20*u - 140. Calculate the least common multiple of 282 and b(11).
564
Let h be 3*(-284)/(-12)*-1. Find the common denominator of h*(345/170 - 2) and -37/26.
442
Let q(g) = g**3 - 11*g**2 + 12*g + 70. What is the lowest common multiple of q(9) and 516?
2064
Let v = -899 + 904. Suppose v*k = 85*i - 82*i + 3, 5*i = 2*k + 14. Calculate the least common multiple of i and 14.
28
Let h = 419 + -341. Suppose -2*x = 3*l - h, 2*x - 2*l - 66 = 22. What is the least common multiple of 77 and x?
462
Calculate the common denominator of (6/1710)/(240/7350) and 51/380.
2280
Suppose -10 - 4 = -2*u + 5*i, -4*i = -2*u + 12. Let d(g) = g**2 - 9*g - 4. Let m be d(13). Let r = m - 42. Calculate the smallest common multiple of r and u.
6
Let f = -78409/39930 + -4/1331. Let z = 2587/240 - -31/80. Calculate the common denominator of f and z.
30
Let j(f) = 10*f**2 + 10*f + 1. Let d be j(-2). Suppose 3*a = 3*u + d, 5*a - 3*u - 20 = 21. Calculate the least common multiple of 5 and a.
10
Let t(d) = -d**2 + 2*d + 3. Let f be t(-5). Let m(w) = -6*w + 55. What is the lowest common multiple of f/(-48)*(-6)/(-4) and m(8)?
7
Let c(f) = f**2 - 6*f - 23. Let a be c(9). Suppose 13 - 1 = 3*n + 3*l, a*l + 5 = 3*n. Calculate the least common multiple of 5 and n.
15
Suppose -v + i = -2*v + 28, -i + 140 = 5*v. Suppose 0 = -m - 2*m + 24. What is the least common multiple of (100/v + -3)/((-4)/(-14)) and m?
8
Suppose 0 = -o + 3*o. Suppose o = 10*c - 0*c - 970. What is the least common multiple of c and 1?
97
Let i = 120 - 120. Suppose i = -10*j - 2*j + 504. What is the lowest common multiple of 6 and j?
42
Let h = 809 + 347. Suppose -156 + h = 20*o. What is the least common multiple of o and (4/(-10))/(3/(-30))?
100
Suppose -141 - 65 = -2*x. Suppose 5*q - x = 6*h - 10*h, -2*q - h = -40. What is the common denominator of (19 + -9)/((-12)/q) and 107/12?
12
Calculate the lowest common multiple of 1776 + 24/(1 + 0) and 2600.
23400
Let z = 1143/10 + -111. Let b = 3623 - 47069/13. Find the common denominator of b and z.
130
Suppose -31*n = -6734 + 1216. Calculate the smallest common multiple of n and 8.
712
Let c(a) = 3*a**3 - 26*a**2 + 132*a + 42. Calculate the smallest common multiple of c(6) and 2262.
15834
Suppose -25*o + 69*o = 33*o + 880. Let b = -131 - -203. What is the least common multiple of b and o?
720
Suppose o - 6*d + 8 = -2*d, 0 = -3*o - 4*d - 40. Let a = o - -62. Calculate the lowest common multiple of 35 and a.
350
Let d = -265247303/852 + 311323. Calculate the common denominator of 7/639 and d.
2556
Let p be (-2062*95/(-29550) - 3) + -1. Let m = p - 32/197. Find the common denominator of -16/13 and m.
195
Suppose -12*g = -603 + 416 - 989. Calculate the smallest common multiple of 7 and g.
98
Let i(p) = -p**2 - 9*p + 3. Let z be i(-6). Suppose 91 = 10*k + z. What is the lowest common multiple of k and 3?
21
Let m = -7/166 - 3271/1162. Let c = -6057/8 + 749. Find the common denominator of c and m.
56
Suppose 2*q - t - 346 = 0, 5*q + 11*t - 877 = 15*t. What is the least common multiple of ((-14)/21)/((-2)/6) and q?
338
Let j = 2772 + -2760. Calculate the lowest common multiple of j and 732.
732
Let i be -6327 + (15 - 3)/4 + -4. Let m = -360662/57 - i. What is the common denominator of m and 161/30?
570
Let l = 6/72467 - 44423063/9565644. Let o = l - 149/22. Let x = -2417 + 12127/5. What is the common denominator of o and x?
60
Suppose 33*c = -2*z + 36*c + 120, 7*z = -3*c + 312. Calculate the least common multiple of 1 + (0 - -28) + -1 and z.
336
Let z(v) = 7*v**2 - 4*v + 79. Calculate the smallest common multiple of 11 and z(-9).
682
What is the common denominator of -131/480 and (-107)/50*10/64?
960
Let