16.
1512
Let g = 4199137600/3723 - 645413695880891/572225100. Let p = g - 2/38425. Calculate the common denominator of -79/33 and p.
132
Let z(o) be the second derivative of -1/20*o**5 + 3*o - 1/12*o**4 - 1/3*o**3 - 3/2*o**2 + 0. What is the least common multiple of z(-2) and 11?
55
Let l = 306 - 1165/4. Calculate the common denominator of l and -103/80.
80
Suppose 441*j = 428*j + 2769. What is the lowest common multiple of 3 and j?
213
Let m = 3711857/70080072 - 3/78919. Calculate the common denominator of m and 5/18.
2664
Let k(q) be the first derivative of q**3/3 - 5*q**2/2 + 5*q - 1. Let p be k(4). What is the common denominator of 0 - p*228/16 and -17/2?
4
Let s(y) = -y + 11. Let f be s(8). Suppose -f*i = -7*i + 40. Let x(d) = -11*d**3 - d**2 - d - 1. Calculate the lowest common multiple of i and x(-1).
10
Find the common denominator of 10/(-20)*(4 - (-687)/(-168)) and 139/126.
1008
Find the common denominator of ((-78)/(-144))/((1715/20)/7) and -27/8.
1176
What is the lowest common multiple of 60 and 15/(-9)*(0 - 18)?
60
Suppose 2*u - u = 4. Suppose 3*w - 8*n = 99 + 209, -2*n = 5*w - 452. What is the smallest common multiple of u and w?
92
Let u = 30/1129 + -134651/11290. Calculate the common denominator of u and -404*17/1904 + (-5)/10.
140
Suppose 4*d + 5*k - 78 - 337 = 0, -527 = -5*d + 2*k. What is the smallest common multiple of 3 and d?
105
What is the lowest common multiple of (-81 - 126)*(-2 - (2 - 3)) and 27?
621
Let k be -5 + 2 + 36/16*4. Let f = 9 + k. What is the smallest common multiple of 3 and f?
15
Find the common denominator of 297/40 + 2/10 and ((-9)/(-36))/(18/320).
72
Let k(z) be the first derivative of -z**3/3 + 11*z**2/2 - 12*z - 2. Let j be k(9). Let d(l) = -l + 14. Calculate the smallest common multiple of 4 and d(j).
8
Let i(k) = k**2 - 6*k + 3. Let b be i(6). Suppose -17 = -v - b. Let j = v - 11. Calculate the smallest common multiple of j and 3.
3
What is the common denominator of 53/24 and 6/16 - (-4137)/2184?
312
Suppose -3*t + 9 = 0, -62*t - 268 = -5*y - 58*t. What is the smallest common multiple of y and 42?
168
Let u be 16/6*12/(-8). Let o be 9/(-1)*u/18. Suppose 42 = 2*v - o*n, 2*v - 4*n - 30 = 18. Calculate the smallest common multiple of v and 8.
72
Let v = 45 + -15. Suppose 49*g - 1896 = -30*g. What is the least common multiple of g and v?
120
Suppose -3*w + 5*z + 23 = 14, 0 = 3*w - z - 21. Calculate the least common multiple of w and 192.
192
Let t = -62420 + 496275/8. Let v = t - -387. What is the common denominator of v and 3/10?
40
Suppose 12*z - 840 = -72*z. Suppose -36 = -2*b - 12. What is the lowest common multiple of b and z?
60
Let f = 9/26 - 81/65. Let l = -4/321 + -2516/4173. Calculate the common denominator of l and f.
130
Suppose 40948 + 3140 = 24*j. Suppose -w - 4*x + 730 = -2*w, 0 = -w - 3*x - 723. Find the common denominator of j/w - 4/(-6) and -10/3.
66
Suppose 4*d + 16*c - 17*c - 1101 = 0, -3*c = -d + 278. What is the lowest common multiple of 200 and d?
2200
Suppose -2*n + 5*p = -86 + 25, 4*p + 92 = 4*n. What is the lowest common multiple of 40 and n?
360
Let r = -2 - -7. Suppose k = -2*x - x, -r*x = -5*k + 40. Suppose 0 = 2*f + 5*s - 27, 36*f - 2*s = 35*f. What is the least common multiple of k and f?
6
Let q(m) = -2*m - 2. Let d = 20 + -12. Let y be q(d). Let t = y + 24. Calculate the lowest common multiple of 4 and t.
12
Let y(s) = s**3 + 11*s**2 + 2*s + 15. Let m be y(-11). Let w = -2 + m. Calculate the common denominator of -48*((-7)/w + -1) and -33/7.
21
Suppose -33 = -4*s + 5*m - 111, -4*m + 42 = -2*s. What is the common denominator of 1/121 and s?
121
Let l be -1 - (-19 - (-7 + 3)). Calculate the common denominator of l/(-49) + (-458)/(-84) and 50/7.
42
Calculate the least common multiple of 92 and 2 + (3 - -4*1/(-4)).
92
Suppose 0 = 4*i - 39*i + 5145. What is the lowest common multiple of i and 15?
735
Let w = -917/632 - -6/79. Let p be (-84)/112 + 7421/(-220). Let b = -393/10 - p. Find the common denominator of w and b.
88
Let v = 14 - 14. Calculate the common denominator of 31/7 and 1*14/4*(4 + v).
7
Calculate the common denominator of -17/349 and 7/(-21)*81/2.
698
Let t be 17/5 - (-10)/(-25). Let c = t + -1. Let i(b) = 2*b**2 + b + 1. What is the smallest common multiple of 11 and i(c)?
11
Let r be (-13)/3 - (-3)/9. Let g be 2 + -3*r/6. Calculate the lowest common multiple of 22 and 3 + -3 + 4*g.
176
Suppose -6*q = 18*q - 240. Calculate the lowest common multiple of 25 and q.
50
Suppose 330 = 6*m - 42. Suppose 0*o + 2*o - m = f, 3*o = -4*f - 193. What is the common denominator of 95/2 and 1438/52 - (-8)/f?
2
Let w(q) = 2*q**2 + 9*q + 11. Calculate the least common multiple of 54 and w(-3).
54
Find the common denominator of -137/6 and (-126)/(-18) - ((-257)/30)/(-1).
30
Suppose -3*i = 3*r - 4*i - 9, 2*i = 3*r - 6. Calculate the lowest common multiple of 24 and r.
24
Suppose 2*z = 4*z - 4. Suppose 92 = 4*a - 5*w, 0 = -z*a - w + 10 + 22. Calculate the smallest common multiple of 15 and a.
90
What is the common denominator of 47/63 and 58/224*(29 - -13)/7?
504
Let i = -129 - -138. Let m(g) = g**3 + 6*g**2 + 4*g - 6. Let o be m(-5). Let p = 2 + o. Calculate the smallest common multiple of p and i.
9
Let n(g) = g**2. Suppose w - 2 = -2*d - 4, 0 = 4*w + 5*d - 1. Calculate the common denominator of n(w) and (3*(-4)/96)/((-6)/(-712)).
6
What is the common denominator of 149/36 and ((-31)/558)/(4/134)?
36
Let z = -577/3 + 8255/42. Let a = 14645/64 + -909/4. Find the common denominator of a and z.
448
Let b = -13285/12 - -2203/2. What is the common denominator of 3/(-4)*((-184)/(-4) - -6) and b?
12
Suppose 14 = 4*d - 18. Let b(s) = s**2 - 21*s - 26. Let k be b(24). Suppose -4*h + 2 + k = 0. Calculate the smallest common multiple of d and h.
24
Suppose 3*r = 4*a - 3217, 4*a + 3257 = -3*r - 0*a. Let u be r/(-10) - (-6)/(-15). Let m = u - 399/4. Calculate the common denominator of m and -101/8.
8
Let t(j) = -3*j**2 + 4. Let r(p) = -5*p**2 + p + 9. Let u(l) = 2*r(l) - 5*t(l). Let b be 2 + 0 - (-3 - -7). Calculate the lowest common multiple of 28 and u(b).
28
Let s(j) = -j**3 - 7*j**2 + j + 10. Let f be s(-7). Suppose f*r - r - 2 = 0. Calculate the common denominator of -19/11 and (-550)/12 + r/3.
22
Let o = -24176129131/10 - -2420739810. Let b = -3124163 + o. Let w = b + -2740. What is the common denominator of -77/4 and w?
20
Let k(g) = g**2 - 14*g + 92. What is the least common multiple of 36 and k(-16)?
5148
Let h = 192 + -99. Let y = 147 - h. Suppose i + 2*a = a + 24, -2*i - 5*a = -y. What is the lowest common multiple of 18 and i?
198
What is the common denominator of (-6192)/(-12960)*(0 + (2 - -1)) and -91/6?
30
Let t = -1282 + 6372/5. Calculate the common denominator of t and (-109)/(-12) + (-8)/(-12).
20
Let x = -21 + 55. Suppose -5*j - x + 134 = 0. Let p(r) = r**2 - 5*r - 10. Calculate the least common multiple of j and p(8).
140
Let l = 13193/7992 + -52/37. Calculate the common denominator of l and 5/6.
216
Suppose -90 = -5*a - 30. Calculate the common denominator of -43/27 and (36/45)/(a/(-170)).
27
Let w = 915/34 + 78/17. Find the common denominator of (-98)/18 + 20/(-10) and w.
18
Suppose 6*y + 12 = 2*y. Suppose -61 - 59 = 6*c. Calculate the common denominator of -17/5 and (30/125)/(y/c).
5
Find the common denominator of 51/14 and 202356/41040 - (10/2 + 0).
7980
What is the smallest common multiple of 56 and (66/(-99))/(4/(-42))?
56
Let v = 953 - 948. What is the smallest common multiple of v and 190?
190
Let i(d) = -7*d**3 - d**2 + 3*d + 2. Let p be i(-2). Suppose -p = -2*y - 2*y. Let z = 755 + -751. What is the smallest common multiple of z and y?
12
Let p be -1*(8/788)/2. Let f = 4922/591 - p. What is the common denominator of -74/9 and f?
9
Let p = -2978/165 - -200/11. What is the common denominator of p and 17/786?
3930
Let f = -13 + 17. Suppose -3*h - h + 8 = 0. What is the lowest common multiple of (15/f)/(6/16) and h?
10
Let g be 1/(-5) + 36/30. Calculate the lowest common multiple of 6 + (-6 - -3)/g and 11.
33
Let n be (106/336)/((-175)/87 - -2). Let z = 175/8 + n. Find the common denominator of -87/10 and z.
70
Let o(j) = -4*j + 2. Let n be o(-3). Suppose 4*l - 5*l = -n. Calculate the common denominator of ((-6)/l)/(36/528) and -3.
7
Let n be 18/4*20/5. Let x =