(i) = -100*i**3 - 4*i**2 - 3*i + 26. Let h be w(7). What is the common denominator of 39/2 and (6 - h/(-5730))/(4/(-10))?
764
Let c = -510363/6551480 + -1/152360. What is the common denominator of -3/8 and c?
1720
Let o = -9971499/235 - -42432. Let r = 192243757/301740 + -343262/535. Let p = o - r. Calculate the common denominator of 103/20 and p.
60
Let k(l) = 5*l - 4. Let j = 287 - 287. Let a(p) = -5*p**2 + 5*p + 9. What is the smallest common multiple of a(j) and k(5)?
63
Suppose 224 = 4*q - 5*j - 49, 3*j + 63 = q. Let g(z) = z - 1. Let f be g(-5). Calculate the least common multiple of f + 4 - (3*q)/(-3) and 2.
70
What is the smallest common multiple of 11 and (112 - (23 + -11)) + 3?
1133
Let j = 71224730 - 74393019664570/1044483. Let w = j + 44762015167/6266898. Let k = w - 7138. Find the common denominator of k and -83/14.
126
Let g = 14 + -24. Let v(h) = -h**2 - 13*h - 4. What is the least common multiple of v(g) and 6?
78
Let x(s) = 90*s - 1256. What is the lowest common multiple of x(14) and 268?
268
Let k be (-134)/(-132) - (-7 + 8). Let q = -1006/33 - k. What is the common denominator of q and 1 + -4 + (-102)/(-4)?
2
Suppose -4*q + 3*t + 4 = -6*q, 5*q + 56 = 4*t. Calculate the common denominator of 59/9 and (q - -1) + 7821/1098.
1098
Let b(k) = 2745*k - 16097. Calculate the smallest common multiple of b(7) and 5.
15590
Let t = -15/8336 + 170905/2325744. What is the common denominator of 107/806 and t?
7254
Let k = 461 - 428. Suppose -a + k = 4*x, -5*x + a + 1 = -38. Calculate the smallest common multiple of 12 and x.
24
Let z = 350635642521/16168 + -21687014. Let u = z + 43468345/4575544. Let q = u + -3/283. Calculate the common denominator of 43/4 and q.
4
Suppose 0 = 4*h - 724 - 108. Calculate the lowest common multiple of h and 546.
4368
What is the common denominator of (-2*5/(-3))/(57/(-76) + 6) and 1/7?
63
Suppose -5*r + 11 + 9 = 0. Let c(k) = k**2 + 14*k + 11*k - r - 31*k. Calculate the smallest common multiple of c(7) and 6.
6
Let k = -31125397/280 - -111162. What is the common denominator of -111/770 and k?
3080
Let w(j) = -j**2 + 5*j + 30. Let l(c) = c**2 - 3*c - 2. Let s be (2/1)/((-7)/(-14)). What is the lowest common multiple of l(s) and w(8)?
6
Let d(s) = -2*s - 27. Let p be d(-16). Suppose 4*f - 628 = -4*q, -p*q = -4*f - 105 - 671. What is the smallest common multiple of 30 and q?
780
Let w be 5/(2 + 0 - 3). Let h be (-7 - w)/((-240)/122 - -2). Let y = 70 + h. What is the least common multiple of 7 and y?
63
Let p = 11195 - 9011. Calculate the lowest common multiple of 3003 and p.
24024
Let k = -3304 + 722. Let r be 4/6 + k/660. Let f = -16/5 - r. Find the common denominator of f and 85/2.
22
Suppose -2*h - y = -960, 5*h + y - 2413 = 5*y. Calculate the common denominator of -15/32 and h/(-26)*1/(-14).
224
Let i = -27 - -42. Suppose 0 = -3*z - 3 + i. Suppose z*n - 45 = n. What is the smallest common multiple of 6 and n?
30
Let c = -51 - -56. Suppose -c*w - 527 - 278 = -5*x, -5*w - 640 = -4*x. What is the smallest common multiple of 21 and 3/(-5) + x/25?
42
Suppose -6*d - 3*c = -4*d + 23, d - 2*c = 6. Let r = d + 111. Let h = r - 40. Calculate the lowest common multiple of 8 and h.
536
Let b(h) = 2*h**2 + 30*h + 5. Let f = -10 - 6. Let m be b(f). Suppose 5*y = z + m, -5*y - 3*z + 48 = -1. Calculate the smallest common multiple of y and 10.
40
Let o = 602 + -596. Suppose -6*h + 141 + 183 = 0. Suppose 0 = 6*d - 126 - h. Calculate the smallest common multiple of o and d.
30
Suppose 0 = 11*r - 951 - 787. Suppose -155*v - 36 = -r*v. Let o = 10 - 8. What is the lowest common multiple of o and v?
12
What is the common denominator of 73/15 and (-25092)/56000 - (53/(-91) + 18/117)?
6000
Let b be ((-2)/(-3))/(11/(-330)). Let u be b/6 - (4/3)/2. Calculate the common denominator of -33/4 and u/14 + ((-1004)/1064)/(-1).
76
Let d(w) = w**2 + 29*w - 20. Let o be d(-19). What is the smallest common multiple of 3/(-2 - (-94)/44) and o/(-27) + 20/90?
88
Suppose -3*c = -3, -4*l - 3*c + 248 = -175. Calculate the common denominator of 4 + -12 + 762/l and -53/50.
350
Let j = -30727 + 4701193/153. What is the common denominator of j and -44/357?
1071
Let k = 334 - 247. Calculate the smallest common multiple of (20/(-5))/(-2)*66/4 and k.
957
Find the common denominator of -3/772 and (-1212)/(-15)*(-35)/(-560).
3860
Let z(m) = m**2 + 105*m - 46. Let q(r) = 35*r - 16. Let u(b) = -7*q(b) + 2*z(b). Calculate the lowest common multiple of 11 and u(24).
3652
Let h = -251493/20 + 12580. Let u = -110 - -113. What is the common denominator of h and ((-255)/81)/(2/u)?
180
Suppose 3*q - t = 3*t + 52, 0 = 4*q - 4*t - 64. Let j(b) = -b**3 - 15*b**2 + 33*b - 5. Calculate the least common multiple of q and j(-17).
12
Let c(z) = -264*z**3 - 3*z**2 - 5*z - 10. Calculate the least common multiple of 2 and c(-3).
7106
Suppose -4*o - 11 = -3*n + 2*n, 0 = 5*o + 15. Calculate the common denominator of 38*9/30 - n and ((-26)/9 - -4)*(-42)/(-12).
45
Let k = -24535 - -1104134/45. What is the common denominator of k and 43/270?
270
Let n be 4 + -7 - (-41)/(-14)*-22. Let c = -2091/28 + n. Calculate the common denominator of c and -11/204.
204
Let m = 20717/78 + -531/2. Let h be -11 + 30 - (6 + 0). Calculate the common denominator of m and 29/18 + -15 + h.
234
Let k be ((-4)/(-16))/(7/84). Suppose k*h = 5*c - 446, 0 = -5*c + 2*h + 552 - 108. What is the lowest common multiple of c and 18?
792
Let z be (-1 - -6) + 3 - 3. Calculate the common denominator of (6/(-144)*-92)/(z/3) and (-124)/66*(-6)/(-8).
110
Suppose 3*z - 4*z = 4*l - 251, -3*z = 15. Let m = l + -60. What is the lowest common multiple of 20 and (-3*(m - 6))/((-1)/(-2))?
60
Let j(u) = -u**3 - 8*u**2 - 10*u + 15. Let f be 6/(-4)*(-286)/33. Let n be j(f). Let i = -40262/11 - n. Find the common denominator of 46/7 and i.
77
Find the common denominator of -137/852 and 0 + 10 - (-9585)/(-1134).
5964
Let y(t) = t**3 + 3*t**2 - 11*t - 14. Let d be y(7). Let c = d - 396. What is the lowest common multiple of (-9)/12 - (-261)/12 and c?
21
Let z = 1829358/755 - 2423. Let s = z - -44643/10570. What is the common denominator of ((-682)/(-33))/(5/(5/4)) and s?
42
Suppose 5*a + 275 = -6*a. What is the common denominator of (3/16)/(a/(-1480)*6) and -89/14?
140
Let b be 3 - (1/2)/(9/(-3870)). Let v = 1735/8 - b. What is the common denominator of v and 2*1/(-4) + 116/6?
24
Let t = 30378 - 27591. Calculate the least common multiple of 15 and t.
13935
Suppose 0 = 788*h - 5215 + 3219 - 5096. Let b be (2/(-3))/(12/(-90)). Suppose -1 = -p + b. What is the least common multiple of h and p?
18
Suppose -3263*g = -2*s - 3260*g + 15, 3*s = 6*g + 24. Suppose 4*t = 100 + 40. Calculate the smallest common multiple of t and s.
210
Suppose 2*a - 6*s - 1026 = -2*s, -5*s = 5*a - 2580. Suppose -2*b - a = -5*i, -3*b + 351 = 5*i - 189. What is the least common multiple of i and 10?
210
Suppose 317*u + 83*u = -193*u + 85392. What is the least common multiple of u and 408?
2448
Suppose 0 = -4*c - 4*h + 4664, c + 13*h - 14*h - 1174 = 0. Calculate the smallest common multiple of 27 and c.
3510
Let y be -9*(-2)/(-8)*(117 + 3). Let d = y - -288. Calculate the lowest common multiple of d and 30.
90
Let u = 558751/516120 - -39/4301. Calculate the common denominator of u and (-25)/(2 + -3 - -69).
2040
Let b = -10 - -18. Suppose 3*r + 7 = -b, 3*r = -5*o + 45. Suppose 0 = -2*z - 2*i + 124, -z + 2*z - 38 = 5*i. Calculate the least common multiple of o and z.
348
Let f = 16 + -19. Let d be (2/f)/((3 - 0)/(-216)). Suppose -d - 18 = -2*s. What is the smallest common multiple of 15 and s?
165
Let r = 92 + -92. Suppose j = -l, r = -5*l - 2*j + j + 4. What is the least common multiple of 4 and l?
4
Let k = 23 - 11. Suppose 4*h + 4*s + 8 = 0, -5*h + 10*h - 4*s + 28 = 0. Let p(r) = r**2 - 4. Calculate the lowest common multiple of p(h) and k.
12
Suppose 5*t + 35580 = 10*t. Let i = -170753/24 + t. Find the common denominator of i and -10/7.
168
Find the common denominator of 73/10 and 2013/(-66)*4/(-30).
30
Let s = 1639/130 - 6777317/537550. Let z be (-2 + 282766/(-160))*52/8270. Let b = s + z. Calculate the common denominator of 7/6 and b.
24
Let l = 312479/540 + -6941/12. Calculate the common denominator of 13/999 and l.
9990
Let u be ((-344)/9)/(8/((-144)/(-7