t k = -6 + 8. Let p(a) = 13*a**k - 12*a**2 - 14*a + 4 + 12. What is the least common multiple of p(14) and 8?
16
Let c = 21765 - 391631/18. What is the common denominator of 140/25*(-24)/(-28)*-1 and c?
90
Let a = -347/118 + 33061/13570. What is the common denominator of a and 54/55?
1265
Let j be 1*(0 - (3 - 3)). Let a = -6434/45 + 736/5. What is the common denominator of a and -46*((-1)/18 - j)?
9
Let s(h) = -h - 5. Let k be s(-7). Suppose 0 = -k*x - 0*x. Suppose x = -a + 9. Calculate the least common multiple of a and 11.
99
Let d = 241502 + -2387177/10. Let q = d + -2782. What is the common denominator of q and 77/6?
30
Let h = -986 - -1034. Calculate the smallest common multiple of h and 156.
624
Calculate the lowest common multiple of (6/10)/(58/12470) and 21.
903
Suppose 152 = -12*d + 16*d. Let c = d - 14. What is the common denominator of 139/6 and (-20)/c*52/(-10)?
6
Suppose 4*b - 82 - 14 = 0. Suppose f + 12 = 5*i, 2*f + i = 3*i + 24. Calculate the lowest common multiple of b and f.
72
Let n = -21499019551203011/2160 + 9953249582309. Let d = n + 1049583/5. Let k = d - -100/27. Find the common denominator of k and -23/12.
48
Let t = 111 - 3. What is the least common multiple of t and 8?
216
Let t = -105866/9 + 11764. Find the common denominator of t and (-5)/7 - (-3 + 2).
63
Let d = -112 + -372. Let z = 2915/6 + d. What is the common denominator of -39/14 and z?
42
Suppose -38 = -2*v + q, 5*v + 11*q = 12*q + 92. Let p(d) = -d**2 - 19*d - 6. Calculate the least common multiple of p(-13) and v.
72
Let b = -3 - -8. Suppose 0 = -3*c + 1 + b, -54 = -4*q + 3*c. Let v = -13 + q. Calculate the lowest common multiple of 1 and v.
2
Let r = -8754 + -1820. Let y = 83156707499/7855570 - 15/785557. Let x = y + r. Find the common denominator of x and -13/9.
90
Let t(d) = -d**2 - 14*d - 2. Let s be t(-11). Suppose f - 116 = 6*f - 4*o, -4*f + o = 84. Let p = s + f. Calculate the smallest common multiple of p and 5.
55
Let j be (3/(-36))/((-33)/1194). Let t = j - 2/11. Let p = 61283/11560 + -3/2312. What is the common denominator of p and t?
30
Let u = -184530/7 + 26705. Let s = -4909/14 + u. Find the common denominator of s and 95/6.
42
Let b(n) = 5 + 1 + 46*n - 45*n + 7. What is the least common multiple of b(-3) and 20?
20
Let k = 1860/11 + -19403/110. Let x = -15/7 - -283/70. What is the common denominator of k and x?
10
Let h = 3429/13 + -213443/806. What is the common denominator of 39/11 and h?
682
Let l = -902 - -966. Calculate the lowest common multiple of l and 32.
64
Let s = 7264/6327 + -529/666. Calculate the common denominator of -51/8 and s.
1368
Let m be 2/(-3) + 11/(-33). What is the common denominator of (m - 0)/(66/282) and 73/3?
33
Suppose -7 = -2*t - 3*s, -t + 4*s + 19 = 2*t. Suppose -f + 4 = -4*j + 5, -5*j = -t*f - 20. Calculate the lowest common multiple of 1 and (f - -5) + (-3)/(-1).
3
Let b = -3/119 - 6771/476. What is the common denominator of 77/46 and b?
92
Let k(v) = 6*v + 2. Let q be k(5). Let f be q/(-6)*(-3)/2. What is the common denominator of 127/6 and (-295)/f*(-7)/(-70)?
48
Suppose -5*t + 6 = -2*t. Suppose -11*g + 2496 = g. Suppose -211*v + 18 = -g*v. What is the smallest common multiple of v and t?
6
Let z(s) = s**3 + 8*s**2 + 9*s + 8. Let j = -11 - -4. Let o be z(j). Calculate the common denominator of 79/10 and (-4)/110 - o/(-10).
110
Let s(l) = l + 1. Let m be s(-4). Let a = m - -10. Suppose a - 4 = u. What is the least common multiple of 32 and u?
96
What is the smallest common multiple of 90 and 7/(-42) - 362/(-12)?
90
Let h = 12584 - 176247/14. Calculate the common denominator of -87/20 and h.
140
Suppose -3*t = -1393 - 506. Find the common denominator of 1/90*t - 4 and -56/9.
90
Suppose 3*j = 5*v + 49 - 185, j = -2. Calculate the lowest common multiple of v and 3/(-12) + (-50)/(-8).
78
Suppose 0 = a + 3*a. Suppose 3*p - 12 = a, -p = -2*u + p. Suppose 4*z - u*x = 48, 0*x + 2*x = 5*z - 45. What is the smallest common multiple of z and 9?
63
Let x = 3/797 - -42235/1594. Calculate the common denominator of x and -99/34.
34
Let s = -18145/2 - -9740. Let d = 3281/5 - s. What is the common denominator of (-4 - -1)/((-2)/(-17)) and d?
10
Suppose 68 + 57 = 2*l - g, -5*g - 67 = -l. What is the lowest common multiple of l and 8?
248
Find the common denominator of 55/84 and 7/(-6)*(-1580)/(-560).
168
Suppose 4*b + 211 = -5*q + b, 0 = -b - 2. What is the common denominator of 2/(64/(-420)) + 6 and q?
8
Let i = -12545/1956 + -1/326. What is the common denominator of 37/212 and i?
636
Suppose -b - 2 = 0, -5*y + 3*b + 2*b = 5. Let q be 0/y*2/2. Let x = 5 - q. What is the smallest common multiple of x and 11?
55
Find the common denominator of 79/1586 and -5 - ((-2)/(-4) + 56/(-5)).
7930
Calculate the least common multiple of 2/(-3)*-1*(-138 + 147) and 9.
18
Let w(c) = 7*c - 59. Let k(z) = -13*z + 116. Let j(q) = 4*k(q) + 7*w(q). What is the lowest common multiple of j(16) and 8?
24
Let d(w) = w**2 + 5*w - 4. Let n be d(-10). Let k = n - 2. What is the smallest common multiple of 18 and k?
396
Let t be (5/(-10))/((-3)/6). Find the common denominator of 111/14 and (1182/144 - t/3) + -1.
56
Let g = 47401/1947 - 8/649. Find the common denominator of g and 13/64.
192
Let b be (-4)/8*(-1 - 1). Let s = b - 3. Let h = s + 11. Calculate the lowest common multiple of 4 and h.
36
Let d(n) = n**3 - 15*n**2 + 16*n - 31. Let o be d(14). Calculate the common denominator of (-12)/o + -5 - 258/(-28) and (-290)/(-4)*3/(-5).
14
Calculate the common denominator of ((-232)/36)/(32/(-30)) and 3336/144 - (18/2 + -3).
24
Let q = -20/371367 + -15754502041/3713670. Let w = q + 4246. Find the common denominator of w and ((-22)/6)/(2/6).
10
Let m(j) be the first derivative of -j**4/4 + 3*j**3 - 4*j**2 + 10*j - 42. Let b = -17 + 25. What is the least common multiple of 11 and m(b)?
110
Let u(h) = h**2 + h - 18. Calculate the lowest common multiple of 72 and u(5).
72
Let w = -21 - -23. Calculate the lowest common multiple of 62 and w.
62
Let i = -5877/460 + 8090909/3220. Let f = i + -2494. What is the common denominator of f and -41/18?
126
Suppose 0 = w + 5*x - 12, 3*w + x + x - 23 = 0. Let l be (-18)/15*(-40)/(-6). Calculate the smallest common multiple of (-299)/(-92) + (-6)/l and w.
28
Let z(o) = -12*o**3 + 3*o**2 + 5*o + 2. Calculate the least common multiple of 27 and z(-1).
108
Let m = 18/19 - 204/95. Let n = -10221/4 - -2543. Calculate the common denominator of n and m.
20
Let m = 109/6 + -51/2. Let r = -1388/503905 + 6739940467/1393801230. Let c = 1/2305 + r. Find the common denominator of m and c.
6
Let c = 16189/6 + -2707. Calculate the common denominator of -41/26 and c.
78
Let y = 28107/10 - 2805. Let u = 397/40 - 85/8. Find the common denominator of u and y.
10
Let a be 5282810/(-2)*(-1)/(-140466). Let y = a - -771/41. Let i = y - 155887/13704. Find the common denominator of i and 89/6.
24
Let x = 6217/6678 - -5/371. Let o = 5040 + -105790/21. Calculate the common denominator of x and o.
126
Suppose -426*r + 464*r = 13110. What is the smallest common multiple of r and 5?
345
Let v = -157085/7 + 18848611/840. Let m = v - 1/120. Calculate the common denominator of -161/30 and m.
30
Find the common denominator of (2 + (-76)/24)*(-35)/(-30) and -99/74.
1332
Let f = -11323 + 305680/27. Calculate the common denominator of f and 151/90.
270
Let h(g) = -g**3 + 6*g**2 + 4. Let x be h(6). Calculate the least common multiple of 72 + x + (-1 - 3) and 20.
360
Let x = -7328/354195 - -12/463. Let a = 14471/12240 + x. Let o = 1565477/303980 - -1/15199. Calculate the common denominator of a and o.
80
Let v be 350 - (-1 + 15/(-3) + 5). Suppose 2*k - 5*t + 5 - 3 = 0, 0 = -k + 4*t - 4. Find the common denominator of -63/4 and k/(-26) + (-1623)/v.
36
Let q = -529 + 549. Calculate the lowest common multiple of q and 108.
540
Suppose a + 5*a - 222 = 0. Suppose -5*j = -a - 53. Suppose -4*l + 20 = -4*k, -4*k - 11 - 1 = 0. Calculate the least common multiple of j and l.
18
Let n = 18402 - 2208419/120. Calculate the common denominator of -143/96 and n.
480
Suppose 6*b = -r + 5*b + 2, -1 = -2*r - 3*b. Suppose -l = 2*h - 2*l - 6, 0 = r*l - 10. Let f = h + 5. What is the least common multiple of 10 and f?
90
Let v(c) = c**3 - 7*c**2 + 11*c - 2. Let k be v(5). Suppose 