 = -a + 13. Let m be w(a). Calculate the lowest common multiple of 16 and ((-24)/(-15))/(m/45).
48
Calculate the least common multiple of 38 and ((-150)/100)/((10/(-12))/5).
342
Let h(s) = -6*s - 4. Let u be h(-3). Suppose -2*r + 2*a = -3*a + u, -r - 3*a = -15. What is the least common multiple of 7 and 4*((-3)/6 + r)?
70
Let m = -5669/2896 + -19/181. Let p be (98/(-3))/(4/(-354)). Let x = -40569/14 + p. Find the common denominator of x and m.
112
Suppose -c - 2 - 4 = 0. Let u be (-10)/(-3)*(-9)/c. Suppose 0 = 4*t - s - 21, -1 = -t + u*s + 28. What is the smallest common multiple of t and 6?
12
What is the common denominator of (10/7)/((-80)/(-230)) and 37/10?
140
Let d = 580689/133 - 4366. What is the common denominator of 19/21 and d?
399
Find the common denominator of 47/2 and (-67)/5*(-45)/(-450).
50
Let y = 9319/6754 + 9/307. What is the common denominator of 97/598 and y?
6578
Let h(x) = -2*x**2 + 34*x + 1. Let z be h(17). What is the least common multiple of 6 and (z + 4/4)*1?
6
Suppose s = -3*q - 77, -3*s = 2*q - 6*q - 94. Suppose -2*n - 2*j = 22, -3*j - j = 2*n + 16. Let h = n - q. Calculate the least common multiple of 4 and h.
44
Let c(m) = -4*m - 6. Let a be c(-3). Let u(t) = -t + 9. What is the lowest common multiple of u(a) and 13?
39
Suppose 83 = 6*h + 23. Calculate the lowest common multiple of 129 and h.
1290
Let t = 72 + -359/5. Let r = t - 417/10. Calculate the common denominator of r and -21/10.
10
Let l = 117449/5 + -16911911/720. Calculate the common denominator of 67/3 and l.
144
Let o(h) = -3 + 3*h + h**2 + 5 + 0*h. Let p be o(-6). What is the common denominator of -2 + (206/p)/(-1) and -39/4?
20
Suppose 7*r = 2*q + 2*r - 146, 4*q - 232 = -5*r. What is the lowest common multiple of 10 and q?
630
Suppose x - 480 = -3*x. What is the common denominator of (-4)/x*2*855/(-10) and 45/22?
110
Let a(b) be the second derivative of -159*b**4/4 + 2*b**3/3 + 5*b**2 + b. Let h be a(-4). Let q = h + 76291/10. What is the common denominator of q and -59/6?
30
Let p = 38963/27 - 1443. Calculate the common denominator of 73/192 and p.
1728
Let a(r) = -r**2 + 37*r - 170. What is the lowest common multiple of 208 and a(25)?
1040
Suppose -8*d = -3*d - 45. What is the lowest common multiple of (13 - 5)/(1 + 0) and (1 + -3)/((-3)/d)?
24
Let v = -20/263 - 9591/1841. Calculate the common denominator of -4/187 and v.
1309
Suppose -8*m - 1192 = 224. Let v = m - -415/2. What is the common denominator of -79/42 and v?
42
Suppose -g + 4*g + 3*v = 96, g + 2*v - 36 = 0. What is the smallest common multiple of 15/(-18) - 2030/(-420) and g?
28
Let l = -87442 - -7782426/89. Let k = l + 3837/890. Calculate the common denominator of -41/3 and k.
30
Let j = 143 + -113. Let g(a) = 2*a**2 - 6*a + 1. Calculate the smallest common multiple of g(4) and j.
90
Let v(p) = 3*p**2 - 2*p + 2. Let d be v(1). Suppose -d*a - 180 = -2*a. Find the common denominator of (-777)/a - 8/20 and 31/12.
12
Let g(l) = -l**2 + 15*l - 15. What is the least common multiple of 8 and g(6)?
312
Let u(r) = -2*r - 39. Let w be u(-20). What is the least common multiple of w/((-18)/(-4)) - (-352)/36 and 18?
90
Let p(i) = -3 + 19*i**2 - 17 + i**3 - 43*i + 2 + 0. What is the smallest common multiple of p(-21) and 3?
3
Let f be 2 + 1 - (-14)/(-7). Let o be (0 - -1)/f - 19. What is the common denominator of (-4585)/(-990) + 4/o and 39/14?
154
Let h = -10/73 - 4499/730. Let w = 39832 + -3385796/85. Let p = w + -1787/340. What is the common denominator of h and p?
20
Let c(r) = -r**3 - 12*r**2 + 5*r**2 + 1 + 13*r**2. Suppose 2*h + 2*a = -h + 27, 0 = 5*a - 15. What is the least common multiple of h and c(6)?
7
Suppose 6*m - 48 = 2*m. Suppose -4*u - 5*a = -0*u - 153, 4*a = 5*u - 181. Let l = u + -27. Calculate the least common multiple of l and m.
60
Find the common denominator of 35/3*(-6)/(-44) and (37557/572)/27 + (2 - 4).
44
Let p(o) = o**3 + 16*o**2 - 19*o - 7. What is the lowest common multiple of p(-17) and 36?
108
Suppose 66 = -t + 5*t - 2*p, -3*t - 5*p = -56. Let a = t - 13. What is the smallest common multiple of a and -10*((-5)/2 + 2)?
20
Let j(f) = f - 14. Let h be (8/16)/((-3)/(-108)). Calculate the lowest common multiple of j(h) and 4.
4
Calculate the common denominator of (5 - (-2781)/(-390)) + 3 and 41/130.
130
Let x(g) = 506*g**2 - g. Let n be x(-3). Find the common denominator of ((-3)/7)/((-42)/n) and 29/13.
26
Let g(c) = -c**2 - 10*c - 16. Let n be g(-7). Suppose 0 = 3*o - n*h - 28, 0 = 2*h - h + 2. What is the smallest common multiple of o and 2 + 2 + 3*2?
30
Suppose 27*n = 1274 + 967. Calculate the lowest common multiple of n and 10.
830
Suppose -2*l + 71 = f, 153 = 4*l + 4*f + 13. Suppose -4*m - 4*a = -97 - 15, 5*a = -m + l. What is the least common multiple of 18 and m?
234
Suppose 184 = -3*l + 5*n, -l - 68 = 3*n + 2*n. Let k = -9 - l. Calculate the smallest common multiple of 4 and k.
108
Let r be (-1)/(-4) + 465/36 + 1. Let t = r + -49/15. What is the common denominator of t and 105/44?
220
Let t(w) = 2*w + 163. What is the least common multiple of 6 and t(-29)?
210
Let y be 14/(-42) + (-16)/(-3). What is the common denominator of -4 - ((-1375)/10)/y and 43/22?
22
Let i be 1/5 + 1287/(-945). Let m = -71/15 - i. Find the common denominator of m and 7/15.
105
What is the common denominator of 41/12 + 1 + 0 and ((-3)/1 - 14)/(800/(-75))?
96
Let d be (-259392)/(-135) - (-2)/(-9). Suppose -6*o + 3785 + 7783 = 0. Let r = d - o. What is the common denominator of -46/3 and r?
15
Let z be (-7 - -3)*(-86)/4. Let u = -85 + z. Calculate the least common multiple of 3 and u.
3
Let q = 368 - 1832/5. What is the common denominator of q and -32/5?
5
Let u = 40 - 38. Suppose -5 = u*w + 5, 25 = -s - 4*w. Calculate the lowest common multiple of ((-225)/s)/5 + 3 and 12.
12
Let q be (1/3)/(23072/(-6)). Let h = 22711/5768 - q. Calculate the common denominator of -13/4 and h.
16
Let k = -4 - -8. Let u = -27 - -27. Let l(i) = -i**3 + 2*i**2 - 2*i + 72. What is the smallest common multiple of k and l(u)?
72
Suppose 4*s = 3*a - 12 - 120, -s - 83 = -2*a. Suppose 5*h - a = 5. Let y(o) = -o. What is the smallest common multiple of y(-3) and h?
9
Suppose -2*j = -4*j + 5*d + 45, 3*d + 83 = 4*j. Suppose -j = 3*y - 5*y. Calculate the smallest common multiple of y and 10.
10
What is the common denominator of 53/2 and (4/(2*-2))/((-10)/(-67))?
10
Let i be 2/4*-2 + (-3)/(-3). Let t = i + 11. Calculate the lowest common multiple of 5 and t.
55
Let m = 62573231/56060730 - 2/283135. Let d = -8/9 + m. Calculate the common denominator of 51/10 and d.
110
Calculate the lowest common multiple of 18 and (45/25 - -3)/((-8)/(-140)).
252
What is the common denominator of (-1018)/240 - 1 - 11/88 and -41/63?
630
Let s = -172/421 + 54607/15156. Let t = 10/549 + -1003/366. Calculate the common denominator of t and s.
36
Let l = 4 + -2. Suppose 7*s - l*s = -15. Calculate the lowest common multiple of s/(-6) + 30/4 and 25.
200
Let p = 1041 + -1029. Let g(x) = -16*x + 12. What is the lowest common multiple of p and g(-6)?
108
Let j(f) = -f - 2. Let b be j(0). Let q be 3/(-2 + (-3)/b). Let h(z) = -3*z - 10. What is the smallest common multiple of 10 and h(q)?
40
Let h be (-564)/(-2)*(-15)/2. Let x = h + 16865/8. Let d = -592/9 + 2677/36. Calculate the common denominator of d and x.
24
Suppose 812 = 4*g - 116. Calculate the lowest common multiple of g and 2.
232
Let q = 210289/5056260 + 18/7661. Calculate the common denominator of q and -33/20.
660
Let j = 577497/40 + -14439. Let v = -251665/1382 + 549784481/3003777. Let r = v - 2/4347. Calculate the common denominator of j and r.
280
Suppose -3*o = c - 385, 25*o + c + 639 = 30*o. What is the lowest common multiple of 44 and o?
1408
Let d be 145910/(-9328) - (-4)/1. Let a = 10/583 + d. Calculate the common denominator of 71/6 + 6/3 and a.
24
Suppose -7 = -2*n - 3. What is the lowest common multiple of 1 and (-3)/(18/(-15))*n?
5
Let r = 8 + 112. What is the common denominator of 109/10 and 425/r + (-1)/6?
40
Let j = 1669 + -11714/7. Let o = j - 12/7. Let l = 19/35 + o. Calculate the common denominator of 117/10 and l.
10
Let s(w) = 86*w + 12. Let t be s(-6). What is the common denominator of (-2082)/t - (-6)/(-8) and -46/27?
189
Suppose -r - 4*r + 40 = 0. Let u = -117 + 189