Let k = g + -6001/21. Find the common denominator of k and ((-348)/189)/(((-6)/(-5))/(112/(-80))).
189
Let d = 319 - 307. Suppose -18*t + d*t = -120. Calculate the lowest common multiple of 50 and t.
100
Let x be (-1)/(-1 - (-2 - 186/(-184))). Suppose -x*r + 108*r = 1664. What is the least common multiple of 112 and r?
1456
Let u = -376891/3278496 - 1/15392. Find the common denominator of -11/2 and u.
426
Let c = -419620/57 - -7362. Calculate the common denominator of 7/528 and c.
10032
Suppose 5*k + 33 = 88. Calculate the least common multiple of k and (20 + 98)*(-3 + 22/4).
3245
Let g = 614 - 586. Let u(c) = c**3 + 8*c**2 + 6*c + 1. What is the least common multiple of g and u(-7)?
56
Let w = 5891 + -5871. Suppose 0 = 2*i - 12 + 2. What is the lowest common multiple of w and i?
20
Suppose 5259 = -14*q + 5847. Calculate the lowest common multiple of 540 and q.
3780
Let t(d) = -2*d**2 + 9*d + 3. Suppose 0 = -0*f - 3*f + 33. Let n = f - 6. Calculate the least common multiple of n and t(4).
35
Suppose d + 5*f - 72 = 36, 0 = -5*d - f + 636. Suppose -3*y + 3*v = 2*v + d, 5*y + 5*v = -180. Let n = y + 53. Calculate the lowest common multiple of 11 and n.
132
Suppose 0 = -3*p - 5*t + 372 + 138, 860 = 5*p + 5*t. What is the least common multiple of p and 250?
1750
Suppose d + 4 = -4*s, 4*d + 8*s - 64 = -d. What is the smallest common multiple of d and 54?
216
Let u be 2/10 + (29819/(-2095) - -14). Let s = -13282/3771 + u. Find the common denominator of s and -75/26.
234
Let v = 2213 - 1771. What is the least common multiple of 221 and v?
442
Let p = -30930 - -33715. What is the smallest common multiple of 1671 and p?
8355
What is the common denominator of (-3 + (-63)/(-27))*((-394)/40 - 5) and -7 + 6 - (-96)/50?
50
Let i(u) = 4*u**2 + 11*u + 12. Let j be i(-7). Let s = j + -113. Let q = -46 - -66. What is the lowest common multiple of q and s?
180
Let b = -176 + 285. Let x be (2398*-1)/2*b/(-27). Let d = 4842 - x. What is the common denominator of -17/33 and d?
297
Let p be (-1)/(-6) - (-313924)/(-72). Let g = -4354 - p. Let y = -14/67 + 2990/201. Calculate the common denominator of g and y.
9
Let d(n) = -n**3 + 2*n**2 + 22*n + 16. Suppose 3*b = -3*f + 327, 0*f - 115 = -f + b. What is the least common multiple of f and d(6)?
112
Let l(j) = -262*j - 1266. Calculate the smallest common multiple of (2 - 6)/(2/(-4)) and l(-5).
88
Let s = -1084/7 + 13333/63. Let i = -2441/45 + s. Let b = -5100/13 + 169340/429. What is the common denominator of b and i?
165
Let x(b) = -503*b - 1557. What is the least common multiple of x(-4) and 65?
455
Suppose 2*f - f = -w - 44, 3*f + w = -130. Let d = -38 - f. Suppose 5*b - 25 = -d*u, b = 2*u + 6*b - 19. Calculate the least common multiple of u and 10.
10
Let h = -25/14422 - 668025/30617906. What is the common denominator of -97/3474 and h?
38214
Let m(d) = 15*d**2 - 1264*d + 51. Calculate the least common multiple of 580 and m(85).
9860
Let z(w) = -10*w**2 + 47*w - 332. Let r be z(6). Let f be -6*3/((-18)/4). What is the common denominator of 67/12 and f/4 + r/135?
108
What is the least common multiple of 1125 and 100/(-15)*-3*(-7 + 2)/(-10)?
2250
Suppose -7*d + 2160 = -12*d. Let z = d + 4217/10. Find the common denominator of z and 29/10.
10
Suppose 3*t + 10349 = 5*q, -5*t - 21524 + 4259 = -5*q. Calculate the common denominator of ((-2)/(-7))/((-624)/t) and 11/194.
1164
Let p(j) = -2*j + 27. Let k = -6 - -6. Suppose 2*s = -5*l + 10 - k, 5*s - 5*l = 95. Calculate the smallest common multiple of p(0) and s.
135
Let h = 4972 + 12009. Let g = -611383/36 + h. What is the common denominator of -71/72 and g?
72
Let d = 103477 - 46357715/448. Find the common denominator of d and 79/448.
448
Let v = 4856 - 4056. Calculate the least common multiple of v and 1440.
7200
Let w(m) = -2*m + 72. Let n be w(-6). What is the common denominator of 6/8*880/n and -35/43?
301
Let g be (187 - 3)*(325/(-165) - -2). Let m = -3852/7 + 41994/77. Let l = m + g. What is the common denominator of -83/24 and l?
24
Suppose 0 = c + 2, 3*i = 6*i + 3*c. Suppose -5*y = -l + 54, l - i*y = -3*l + 198. Calculate the least common multiple of 18 and 3/(18/(-2)) - l/(-3).
144
Let z = 5189 + -5175. Let s be 72/20 - 4/(-10). Suppose s*d + d = 60. Calculate the smallest common multiple of z and d.
84
Let f(y) = -94*y + 682. What is the smallest common multiple of 12 and f(7)?
24
Let p = -110 - -162. Let g = -62 + p. Let y = g + 58. What is the least common multiple of 5 and y?
240
Let w = -84 - -123. Let c be 50/(-3*-3*(-1)/(-27)). Let u = 157 - c. What is the least common multiple of w and u?
273
Suppose 60*m = 13787 + 39673. Calculate the lowest common multiple of 351 and m.
11583
Suppose -90 = 30*s - 31*s. Suppose -45*r + 1125 = -360. What is the least common multiple of r and s?
990
Let d = -103 - -263. Suppose 47*x - 39*x - d = 0. What is the smallest common multiple of 20 and x?
20
Calculate the common denominator of -33/56 and ((-10)/(-6))/((-10336)/(-3800)).
2856
Suppose 18 = 14*n - 11*n. Let t(i) = i**2 + i + 6. Let l be t(5). Suppose 0 = 2*s + m - n*m - l, -5*m = -5*s + 60. What is the least common multiple of s and 6?
24
Let d(z) = -59*z + 17. Let p be d(-2). Suppose -18*g + p = -17*g. Calculate the smallest common multiple of g and 8.
1080
Let m = 6723935177/833039688 - -3548/258387. Let v = 21064/403 - 680/13. Let w = m - v. What is the common denominator of 35/9 and w?
72
Let t be (2/(-4) - -2)*10/(-24465). Let g be (-304977)/(-32620) - (-1)/4. Let p = t - g. Calculate the common denominator of p and 63/8.
40
Let m = -18273911/14 - -1304121. Let h = -1161 - m. Calculate the common denominator of 139/54 and h.
378
Let c = 5 - 0. Let f be 4/22 + c/(30/31382). Let o = f + -5230. Calculate the common denominator of o and 5/12.
132
Let h = 7824 + -625897/80. Find the common denominator of -4/595 and h.
9520
Let v(a) = a**2 - 2*a + 7. Let k(s) = s**3 + 9*s**2 - s - 6. Let u be k(-9). Let t = -460 - -461. What is the lowest common multiple of t and v(u)?
10
Let x(v) = v**3 + 5*v**2 - 16*v - 10. Let i be x(-7). Calculate the common denominator of 4870/(-840) - i/14 and (0 + (-158)/468)/((-3)/(-9)).
156
Let h = -43 + 55. Suppose -8*l = -5*l - h. Calculate the smallest common multiple of 20 and -1*l - (-96)/16.
20
Let o be 290*5*(-18)/(-60). Let f = o + -411. What is the lowest common multiple of f and 12?
24
Let y = 564 + 101. Suppose 9*f = 4*f + y. Find the common denominator of -41/5 and (-1)/4 + f/12.
30
Let i = 2588/17 + -4989/34. Let h = 84407/24738 - 30/4123. Calculate the common denominator of h and i.
42
Suppose 19*y - 180 = 9*y. Suppose 0 = -18*d + y + 378. Suppose -4*q + 2 + 86 = 0. Calculate the least common multiple of q and d.
22
Let g = -4947 + 49523/10. Find the common denominator of 139/54 and g.
270
Let l be 4 + -5*8/20. Suppose l = -12*o + 110. Calculate the lowest common multiple of o and 4.
36
Let a(x) be the first derivative of -x**4/4 + 5*x**3/3 + x**2 - 8*x - 53. Let v = 27 - 23. What is the least common multiple of 10 and a(v)?
80
Let g = 6696765/106 + 2903/424. Let h = -63084 + g. Let x = h + -1825/24. Calculate the common denominator of x and 3/10.
30
Let a(d) = -d**2 + 105*d + 57. Let q be a(53). Let l = -927 + q. Calculate the lowest common multiple of l and 2.
1886
Let r(g) = -2*g + 6. Let x(b) = -b**3 + 8*b**2 - 5*b - 4. Let d be x(4). Let i = d + -44. What is the smallest common multiple of r(i) and 8?
56
Let k be (-4)/(-16) + (-8195)/(-20). Find the common denominator of (-8)/11 + 1 + 0 and k/228 + -4*5/120.
209
Let y(p) = -25*p**2 + 352*p - 26. What is the smallest common multiple of y(14) and 559?
1118
Let y = 1807 - 1690. Suppose -344 - 319 = -17*z. What is the lowest common multiple of y and z?
117
Suppose 0 = -3*i + 2*n + 14, -6*i + 8 = -3*i + 4*n. Find the common denominator of -65/9 and i/12 - (-25)/33.
99
Let d = 587 + -584. Suppose -411 = -11*r + 8*r + 2*l, 4*l = d*r - 417. What is the lowest common multiple of 18 and r?
270
Let f = -1219 + 3592/3. Find the common denominator of ((-666250)/5100)/205 - (-7)/6 and f.
51
Suppose 4*x = -2*p - 0*p - 6, 5*x = 2*p - 21. Suppose 4 = -y + p. What is the smallest common multiple of y*-3*(8 + 2) and 15?
30
Suppose 0 = 8*z - 6*z - 4. Suppose -13*k + 64 = 3*k. Suppose -z*o + 