 b(l) = 5*l**3 - 2*l**2 + l. Let h be b(1). Suppose 3*k + h*z + 80 = -k, -5*k - 2*z - 85 = 0. Find the common denominator of 31/10 and (-15)/48*(-9)/k.
80
Let x = -201421/20 - -10075. Calculate the common denominator of ((-15)/(-40))/((-6)/(-118)) and x.
40
Let g = 92 + -62. Calculate the common denominator of 316/g + 2/3 and -40/7.
35
Let b = -2754617/7197708 + 2/36723. What is the common denominator of b and 81/8?
392
What is the common denominator of ((-7)/35)/((-20)/98) and 27/35?
350
Suppose 0*u - 5*n + 12 = -u, -5*n + 16 = -3*u. What is the common denominator of ((-30)/(-24))/(u + (-6)/(-9)) and 49/40?
80
Let u = 514233/38 - 13530. Suppose 91*n = 76*n - 450. Calculate the common denominator of n and u.
38
Let y = 10/193 - 2529/386. Find the common denominator of -9/59 and y.
118
Let h be 25/(-2)*162/(-45). Let g be 12/18 + 132/h. Let n = 37/10 - g. Calculate the common denominator of 87/16 and n.
80
Let k = 11 - 5. Suppose x = 2*s - k*s - 28, -2*x - 65 = -s. Let p = x - -40. What is the least common multiple of 48 and p?
48
What is the common denominator of 173/84 and (-43875)/(-34020) + 3/(-4)?
252
Suppose 0 = -4*o + 3 + 1. Calculate the common denominator of 4/o - 95/110 and 145/6.
66
Let g be (-8)/(-28) - (-442)/(-28). Let d = 17 + g. Find the common denominator of 67/9 and d.
18
Calculate the common denominator of -52/17 and (-12)/(-8) + -3*7/(-30).
85
Let o = 142/31 + -3494/465. Calculate the common denominator of -29/12 and o.
60
What is the common denominator of 37/(-25)*(34 + -35) and 38/275?
275
Let k = -264 - -272. What is the lowest common multiple of 26 and k?
104
Suppose 4*v = v + 3. Let r be (1 + -2 + 0)/v. What is the common denominator of -7/18 and 214*2/(-96) + r?
72
Let s = 157157/4 - 75901/2. Let n = s + -1319. What is the common denominator of 9/10 and n?
20
Let y = 97805/18 + -5436. Find the common denominator of 43/23 and y.
414
Let b be 5/25 + 73/(-215). Let q = 1616/129 - b. Calculate the common denominator of q and (-1)/2*(-152)/(-16).
12
Let v = 64 + -9022/141. What is the common denominator of v and 40?
141
Suppose -69 = -3*u - 0*u. Let n(z) = z**2 + 6*z + 12. Calculate the smallest common multiple of u and n(-4).
92
Let z = -35 - -36. Calculate the smallest common multiple of ((-3)/z)/(3/(-4)) and 9.
36
What is the least common multiple of 4508/207 + (-2)/(-9) and 10?
110
Let o(u) = 6*u + 2. Let t(d) = -11*d - 3. Let w be (-2 + -2 + 1)/(-1). Let n(a) = w*t(a) + 5*o(a). Calculate the least common multiple of 5 and n(-1).
20
Let s = -2156 + 2171. Suppose -1 + 4 = z. Calculate the least common multiple of s and z.
15
Suppose -14*l + 6*l = 56. Find the common denominator of 25/2 and 180/(-16)*l/35.
4
Let c = -119103905363/16 + 7449861832. Let h = -5872113 + c. Let k = 4368 + h. Calculate the common denominator of 14/9 and k.
144
Suppose -15*k - 50 = -10*k. Let x = -505167/22 + 22967. Calculate the common denominator of (498/(-30))/(4/k) and x.
22
What is the lowest common multiple of ((-7)/(-5) + -3)*10/(-4) and 184?
184
Let l(i) = i**3 - 6*i**2 + 8*i - 12. What is the least common multiple of l(6) and 16?
144
Suppose 4*j + 0*j - 24 = 0. Let h be j/4 - 14/(-28). Suppose -5*a - 48 + 11 = -h*k, -25 = 5*a. What is the least common multiple of 7 and k?
42
Let p(m) = m**2 - 2*m - 1. Let c be p(-1). Suppose c*j - j - 27 = 0. Calculate the least common multiple of j and 24.
216
Let y = -70 + 37. Let t = y + 40. Calculate the smallest common multiple of t and 36.
252
Let q = -81/32 - 3/32. Let u = -719/2 + 1529/4. Find the common denominator of q and u.
8
Let q = -2141 - 1544. Let l = -59007/16 - q. What is the common denominator of (-6)/28*123/9 and l?
112
Suppose 4*w - 2*f = -22, -5*w + w - 47 = 3*f. Let m(b) = -b**2 - 12*b - 26. Calculate the least common multiple of 10 and m(w).
30
Let r(z) = 2*z. Let d be r(5). What is the common denominator of 44/8*8/d and -28/11?
55
Let c(w) = -w**2 + 9*w - 15. Let i be c(6). Suppose -f = -5*o + i, 0*o = 3*o - 3. Calculate the least common multiple of f and 2.
2
Let k(u) = -554*u + 10. Let d be k(-3). Let b = d - 16683/10. What is the common denominator of 6/3 + (-53)/(-5) and b?
10
Let v = -9420 - -9426. Suppose 3*o + 15 = 4*o. Calculate the lowest common multiple of v and o.
30
Suppose 3*h = 2*c + 870 - 2178, 4*h = -3*c + 1979. Calculate the lowest common multiple of c and 18.
1314
Let c(x) = 12*x - 42. Let t(z) = -5*z - 5. Calculate the lowest common multiple of c(5) and t(-5).
180
Suppose -36*m + 146 = -70. Calculate the lowest common multiple of 508 and m.
1524
Let p = 467 - 456. Calculate the smallest common multiple of 77 and p.
77
Let r = -481127/20 + 24046. Let w be 8/20*(-26)/(-4). Let o = w + r. What is the common denominator of -39/4 and o?
4
Let k = 789 + -439. What is the common denominator of (-3685)/k + 4/(-7) and -39/10?
10
Let k be 1 + (1 + 21195/(-50) - 0). Suppose 3*w = -15, 2*j + 344 = 3*w - 483. Let l = j - k. Calculate the common denominator of 83/2 and l.
10
Let b(p) = -24*p - 366. What is the smallest common multiple of b(-44) and 22?
7590
Let m = -5251 + 231039/44. Calculate the common denominator of m and ((-9)/32)/3*18.
176
Find the common denominator of -2 - -3*214/(-36) and (124/(-30))/((-23)/(-69)).
30
Let g(b) = -b**3 + 8*b**2 - 2*b - 23. Calculate the lowest common multiple of 12 and g(7).
12
Suppose -2*p - 6392 = 2*b - 0*b, -12799 = 4*b + p. Let r = b + 41633/13. Find the common denominator of r and 87/10.
130
Let n = -1155 + 1156. Let a = -16 - -22. Calculate the least common multiple of a and n.
6
Let y = 11283565/11 - 1026692. Let f = 914 + y. Calculate the common denominator of -4/153 and f.
1683
Let j(f) = -f**3 - f**2 - 7*f - 7. Let y be j(-5). Let x be -2*1/(-10) + 11/(-55). Suppose -y = -x*g - 4*g. Calculate the least common multiple of g and 3.
96
Let t be -4 + 0/(-4) + -3. What is the smallest common multiple of -3*t/6*(-32)/(-28) and 32?
32
Let f(h) = 2*h**3 - 19*h**2 + 9*h + 18. Calculate the least common multiple of 60 and f(9).
180
Suppose -2*h - 103 - 77 = 0. What is the common denominator of (14/8 - 2)/(8/344) and (-11)/55 + (-508)/h?
36
Let w be (-2)/16*-6*28. Suppose -25454 = 9*r + 4*r. Find the common denominator of (-12)/w - r/168 and -45/14.
84
Let k = -73 + 20. Let w = k - -23. Find the common denominator of (-6)/2 + 62/(-20) and w.
10
Let v = 186617/28 - 6667. Find the common denominator of v and 113/60.
420
Suppose 7*a = -7*a + 266. Calculate the lowest common multiple of a and 21.
399
Let o be 2/4*-6 + 6. Let d = o - -3. Suppose 5*p - 6 = -2*v + 4, 3*p + 4*v = -8. What is the smallest common multiple of d and p?
12
Let a = 574951/24 + -23962. Find the common denominator of -92/15 and a.
120
Suppose 5*u - 83 + 33 = 0. What is the smallest common multiple of 13 and (-18)/(-2) + -15 + u?
52
Suppose -2*d - g = -23, 0 = -2*g + 3 + 3. What is the least common multiple of 35 and d?
70
Suppose -3*p = -4*p - 7. Let c(i) = 21 - 1 - 5 - i. What is the lowest common multiple of 4 and c(p)?
44
Let a = 5/81 + 1283/2835. Find the common denominator of 22/49 and a.
245
Let k = 91/24 - 1913/264. Let h(i) = -i**2 - i + 5. Let u be h(-4). Calculate the common denominator of k and (-4527)/(-567) - (-3)/u.
99
Let x = 253 + -3595/14. Find the common denominator of ((-2)/54*-3)/((-3312)/12788) and x.
2268
Let h(x) = -x**2 + 4*x. Let p = 5 - 3. Calculate the lowest common multiple of h(p) and (-4425)/(-649) - (-4)/22.
28
Suppose 0 = 179*j - 173*j - 216. Calculate the lowest common multiple of j and 140.
1260
Suppose -2*y + 12 = -2*z, 0*y = -5*y. Let n = 16180/7 + -2318. Find the common denominator of z/75*-5*26 and n.
35
Let o be (2/2)/(1/2). Suppose 0 = d - 14 + o. Suppose 4*n + 3*u - 80 = -u, 4*u = -5*n + 100. Calculate the lowest common multiple of d and n.
60
Suppose 12096 = -7*t + 43*t. Calculate the least common multiple of t and 120.
1680
Let l be 0 + 14 + 1 + -2. Let y(r) = r**3 + 3*r**2 - 7*r - 1. Let i be y(-4). Let c = l - i. Calculate the least common multiple of c and 4.
4
Let s(l) be the third derivative of -l**4/24 - 7*l**3/6 + 5*l**2. Calculate the smallest common multiple of 6 and s(-16).
18
Suppose u = 4 + 10. Let p(x) = x**3 - 7*x**2 - 6*x + 6. What is the smallest common multiple of u and p(8)?
154
Let p(j) = -3*j**2 + 17*