te the common denominator of (2 + 15)*3*f/(-54) and -23/18.
18
Let h(d) = -399*d - 5184. What is the lowest common multiple of h(-34) and 20?
83820
Let h be (-29)/(-116) + (-1322)/8. Let a = 183 + h. What is the least common multiple of a and 162?
162
Suppose -2*a - p + 12 = 0, -2*a + 3*a = -p + 10. Suppose -2*s = 2*s - 44. Calculate the lowest common multiple of s and a.
22
Let y(b) = b**3 + b**2 + 2. Let o(r) = -r**3 + 3*r**2 + 9*r - 5. Let x(q) = -o(q) - 2*y(q). What is the smallest common multiple of 8 and x(-3)?
40
Let r = 497654 + -317503357/638. Find the common denominator of 57/638 and r.
638
Let z be ((-36)/(-16))/((-3972)/(-664) - 6). Suppose -4*r = 4, 2*r = -5*j + r - 641. Let i = z - j. Calculate the common denominator of i and 79/2.
2
Suppose 4*w + m - 9281 = 0, -2*w + 3*m - 9291 = -6*w. Suppose -8*x + w = 495. Calculate the least common multiple of 3 and x.
228
Suppose 4*a - 12 = -o + 11, -5*o + 7 = 2*a. Suppose -9*r + a*r = -2160. What is the common denominator of 25/4 and (-3369)/r + (-10)/75?
16
Suppose 3*z - 519 = 2*z + 2*w, 5*z = 5*w + 2580. Suppose -z + 837 = 6*h. Calculate the smallest common multiple of h and 40.
1080
Let q(h) = h**2 + 12*h + 8. Let v be -4 + 20/4 + -13. Let g be q(v). Find the common denominator of (10/(-36))/(g/348) and 11/6.
12
Suppose 5*r = -5*m + 30, m - 3*m = -3*r - 7. Find the common denominator of 57/m*(-3 + (-136)/(-44)) and -19/45.
495
Suppose -12*r = r - 78. Let d(g) = 3*g**2 - 13*g - 4. What is the least common multiple of 16 and d(r)?
208
Suppose a = 4*b + 4*a + 306, 4*a = -4*b - 304. Calculate the common denominator of (8/64)/((-1)/b) and ((-2)/(-14))/((-20)/90).
28
Suppose 35 = -5*w - j, -8 = 2*j + 2. Calculate the lowest common multiple of 3 + -4 - (-1 + w) and 2.
6
Suppose -19 = -5*b + 3*n, 3*b + 59 - 53 = -4*n. Let l(y) = y**3 - 9*y**2 - 23*y + 16. What is the least common multiple of l(12) and b?
172
Let r(s) = 18*s**3 - s**2 + 1. Suppose -4*h - 5*x = h - 20, -3*h - 5*x = -18. What is the smallest common multiple of r(h) and 3?
18
Suppose -5*f = 3*l - 61, -2*f + 3*f = l - 7. Let t(k) be the first derivative of -2*k**2 - 66*k + 25. What is the lowest common multiple of t(-17) and l?
12
Let l(m) = -766*m + 2370. What is the lowest common multiple of l(3) and 405?
3240
Let o = -32034472 - -110006375669/3434. Let w = o + 2/101. Calculate the common denominator of 7/24 and w.
408
Suppose -3*a + 8*a = 0. What is the common denominator of (-245 + 51/17)/12 and ((-372)/108)/(a - 2)?
18
Let d(l) = l**2 - 4*l - 1. Let u(p) = p**2 + p - 4. Let n(h) = -5*h - 133. Let g be n(-28). Calculate the lowest common multiple of u(g) and d(5).
52
Let x = 9491635889/5440 - 1744786. Find the common denominator of x and 1/16.
5440
Suppose 4*p - p - 6 = -5*t, 5*t = 3*p - 6. Suppose t = -r - 3 + 4. Find the common denominator of -23/20 and ((-46)/90)/((-78)/50 + r).
1260
Let k(t) = -t**3 - 5*t**2 - 24*t - 13. Let s be k(-9). Let n = -467 + s. Calculate the least common multiple of 105 and n.
420
Let w = 137 + -205. Calculate the least common multiple of w/204*(-27 - 0) and 54.
54
Let g = 6/22183 - 1421494/6588351. What is the common denominator of -161/270 and g?
2970
Suppose 4*t - 1044 = 1072. Suppose -7*f + t = -164. Calculate the least common multiple of f and 110.
990
Suppose 2*d = -2*u - 2*u + 76, 3*u + 4*d = 62. What is the lowest common multiple of u and (-3*110/45)/((-2)/6)?
198
Calculate the common denominator of (2/9)/(578816/13433) and -93/4.
19584
Calculate the lowest common multiple of 259585/269 + 1/((-3)/(10 + -1)) and 407.
10582
Let c(f) = -2*f - 42. Let s be c(-24). Suppose -20 + s = -a. What is the smallest common multiple of a and (3 + 13)/((-4)/(-2))?
56
Let b = 232 + -2559/11. Let w = b + -43/88. Let u = -6947 - -69499/10. Calculate the common denominator of u and w.
40
Suppose 0*p + 89 = 3*p + i, 5*i - 85 = -3*p. Calculate the lowest common multiple of p and ((-64)/(-24))/(8/72).
120
Let s = 6086/21 - 290. Let a = s - -121/84. Let u = a - -107/12. What is the common denominator of -43/12 and u?
12
Let t = 1332064884473/10794 - 123407908. Let l = -22/771 + t. Find the common denominator of -37/20 and l.
140
Let n(v) = 307*v**3 + 7*v**2 + 16*v - 18. Calculate the least common multiple of n(1) and 15.
1560
Let o = 3/11180 - -114547/178880. What is the common denominator of o and 75/1472?
1472
Let c(i) = 372*i - 1792. What is the lowest common multiple of 12 and c(5)?
204
Suppose v - 3*v + 2*c = -4, 0 = 3*v - 5*c. Let r(f) = -f**3 + 5*f**2 + 15*f - 9. What is the smallest common multiple of r(v) and 84?
924
Let h = 1772423804974 - 198582363110561399/112040. Let v be (-1)/3 + 14011/42015. Let a = h - v. Find the common denominator of -17 and a.
8
Suppose -u + 2*u + 10 = -5*n, -5*n - 25 = -2*u. Let i(j) = -3*j + 9*j**2 - u*j**2 + 8*j + 12 - 3*j**2. Calculate the least common multiple of 24 and i(0).
24
Let t(y) = 4*y**2 + 2*y - 475. Let h be t(0). Let n = 3271/7 + h. Let q = 650/77 + n. Find the common denominator of 11/37 and q.
407
Suppose -5*m - 406 = 374. Let r = -129 - m. Let o(p) = p**3 + 6*p**2 + 3*p - 7. What is the lowest common multiple of o(-5) and r?
27
Suppose 2*t - 5*r = 13199, -3*t + 3*r = -9135 - 10686. What is the smallest common multiple of t and 4?
6612
Let o(k) = -15*k + 76. Suppose 0 = 6*x - 3*x + 3*y - 129, 0 = -5*x + 5*y + 185. Calculate the least common multiple of o(4) and x.
80
Calculate the common denominator of (-2 - 772/(-531))*(-2)/(-24) and 145/354.
3186
Let d(c) = -c - 5. Let i(b) = -b - 1. Let q(l) = d(l) + 2*i(l). Let h = 23 + -30. What is the lowest common multiple of q(h) and 24?
168
Calculate the common denominator of 76080/15296 + (3 - 8) and 19/60.
14340
Suppose -791 = -6*l - 773. Suppose -4*t = -2*t - 12. Calculate the smallest common multiple of l and t.
6
Let w = -790 - 645. Let c = w + -12. Let f = -2989/2 - c. Calculate the common denominator of -73/4 and f.
4
What is the common denominator of 71/318 and 80/20 + (28/(-49))/((-222)/(-1351))?
11766
Suppose 646 = 19*r + 133. Calculate the least common multiple of r and 87.
783
Let a be ((-20)/(-66))/((-10)/840*-14). Let p = a - 1069/352. What is the common denominator of p and 29/24?
96
Let w(o) = o**3 + 4*o**2 + 3*o + 4. Suppose 0 = -2*t - 6 - 0. Suppose 5*y - 9*y = -r - 40, 4*y - 40 = 5*r. Calculate the least common multiple of w(t) and y.
20
Let q = 49 - 110. Let u = 105 + q. Suppose -2*i = i - 2*g - 34, 0 = -4*i + 2*g + u. What is the smallest common multiple of 11 and i?
110
Let u be ((-624)/(-182))/((-95)/7). Let v = u - 55/38. What is the common denominator of 2/7 + 235/(-14) and v?
10
Let j = -115 - -115. Suppose j = v - 9*v + 72. What is the lowest common multiple of 5 and v?
45
Calculate the lowest common multiple of 390 and 9750/(-50)*3/(-6)*14.
2730
Let c = 18 - 64. Suppose 0*l - l - 6 = 0. What is the common denominator of -61/6 and (c/(-6))/((-44)/l)*-2?
66
Suppose n - 3952 = -3*x + 1004, -3318 = -2*x + 4*n. Calculate the smallest common multiple of 145 and x.
8265
Let l = -449 + 1534. Let w = l - 2253/2. Let o = 429/2 - 229. What is the common denominator of w and o?
2
Suppose 3*f - 5*a = 22, 5*a + 26 = -f - 0*a. Calculate the lowest common multiple of 2/((-1 + 3)/88) and 72/(-72) - (f - (22 - 2)).
440
Suppose -6*l - 4*l - 720 = -14*l. What is the lowest common multiple of l and 10?
180
Let c = 8824 + -7566. Calculate the lowest common multiple of 7 and c.
8806
Let y = 54611981/1757094483 + 4/840313. Calculate the common denominator of y and -13/2.
4182
Let o = 86 + -47. Suppose o = 4*h + 19. Suppose -h*p = 199 - 559. What is the lowest common multiple of p and 6?
72
Let w be -6 - (-25603)/(-9) - (5 + 0). Let c = 2853 + w. What is the common denominator of 16/67 and c?
603
Suppose 0 = -26*s - 42 - 114. What is the lowest common multiple of ((-2)/1 - -10) + 12/s and 12?
12
Suppose -5*p - 14510 - 1990 = -65*p. What is the lowest common multiple of p and 35?
1925
Let p = 4/97 - -2413/291. Find the common denominator of p and 2/13*(-11)/(-286).
507
Let k = 42463/594 - 778/11. What is the common denominator of k and -187/546?
4914
What is the common denominator of ((-107)/(-33))/(-11 + (-1629)/(-27)) and 83/148?
1628
Suppose 2700 = 13*q + 14*q. Suppose -q*d - 4 = -102*d. Calculate the smalles