7). Let p = j + 235031/30. Find the common denominator of 46/3 and p.
30
Find the common denominator of (-219)/292*218/90 and -109/624.
3120
Suppose 0 = -3*n + 3*p - 32 - 55, 0 = 3*p - 6. Let l(h) = -h**2 - 11*h - 10. Calculate the least common multiple of l(-9) and ((-2)/3)/(3/n).
24
Let q be (22/5)/((-2)/(-20)). Suppose q = v + 12. What is the smallest common multiple of 1 and v?
32
Calculate the common denominator of -321*(-5)/(-315) + 1 + 0 and 59/12.
84
Let x = 1942/3 + -623. Let d = 23 - x. Let c = -2592/5 - -512. Find the common denominator of d and c.
15
Let w(n) = -n**3 + 14*n**2 + 15*n + 4. Suppose -3*m = -60 - 30. Suppose y - 5 = -5*v, 2*y + 2*y + m = 5*v. What is the smallest common multiple of v and w(15)?
4
Let w = -1944 + 2024. What is the least common multiple of 10 and w?
80
Let n = -10267/6 - -1708. Calculate the common denominator of 5/29 and n.
174
Let j = 20/1457 + -104827/100533. What is the common denominator of j and -29/6?
138
Suppose 114 = -z + 4*z + 3*x, 0 = -4*z - 5*x + 148. Let f = -163 + 168. Calculate the lowest common multiple of f and z.
210
Let h(m) = -m**2 + 24*m - 105. Calculate the lowest common multiple of h(15) and 180.
180
Suppose 8*z = -5*s + 3*z - 90, -4*s + 4*z = 80. Let b = 23097160/201 + -114925. Let g = -6/67 - b. What is the common denominator of s and g?
3
Let n(p) = -9*p + 9. What is the least common multiple of 48 and n(-2)?
432
Find the common denominator of (39/(-6))/((-18)/16) and -64/87.
261
Find the common denominator of -9/22 and 105*4/528 - -1.
44
Let f(k) = -k**2 + 7*k - 2. Suppose -11*q + 25 = -6*q. Let j = 22 - 12. Calculate the smallest common multiple of f(q) and j.
40
Let c = 245 - 173. Suppose 5*u - b = c, -b = -5*u - 2*b + 68. What is the lowest common multiple of u and 50?
350
Let a = -562907/30 + 18769. Calculate the common denominator of a and 187/30.
30
Let n be 2/(-3)*(-441)/(-1). Let l = 94 - n. Calculate the least common multiple of l and 16.
1552
Calculate the common denominator of -26/77 and ((-61)/(-4))/((-105)/12).
385
Let i = -3373/8 - -419. Let j(p) = -6*p**2 + 2*p + 4. Let b be j(-3). What is the common denominator of b/96*(-71)/7 and i?
24
Suppose 6 + 109 = i. What is the lowest common multiple of i and 20?
460
Suppose -7*m = 43 - 267. Suppose -m - 4 = -4*g. What is the lowest common multiple of 5 and g?
45
Let c(t) = -21*t - 51. Calculate the lowest common multiple of 60 and c(-5).
540
Let u be (-1056)/10*(-345)/(-46). Let o = u + 4727/6. Find the common denominator of 19/90 and o.
90
Let v = 597 - 583. Suppose b + 3*b = 16. Suppose -b*w - 2*s = -22 - 16, 49 = 2*w - 5*s. What is the lowest common multiple of w and v?
84
Find the common denominator of 17 + (-58939)/3366 - (-1)/(-9) and 79/66.
66
Find the common denominator of -73/72 and (3584/(-42) + -14)*2/72.
216
Let p(a) = -4*a + 23. Let q be p(8). Find the common denominator of 89/4 and q/(4*35/65).
28
Let s = -215012 - -84069636/391. What is the common denominator of 31/11 and s?
4301
Let r(y) = y**3 - 9*y**2 + 3*y + 6. Let z be r(6). Calculate the common denominator of (-11)/(-77) - (-1293)/z and 7/8.
8
Let m(b) = 2*b**3 + 1. Let t be m(1). Suppose g + 2*i = -2*i + 20, 4 = 4*g - t*i. What is the smallest common multiple of 34 and g?
68
Let n(o) = 10*o**2. Suppose 38*v - 151 = 1. Calculate the least common multiple of n(-1) and v.
20
Let g = -543/20 - -27/5. What is the common denominator of 18/(-27)*(-207)/4 and g?
4
Let i be (1 - 13/1)*1256/(-9). Let k = i + -1651. Calculate the common denominator of -53/18 and k.
18
Let r(a) = a**2 - 5*a + 3. Let q be r(5). Find the common denominator of (116/(-3))/(q - 5) and (-1 - 55/(-45)) + 3.
9
Let r(s) = -126*s - 5. Let c be r(-5). What is the common denominator of -145/6 and ((-2)/(-4))/(((-315)/c)/7)?
18
Let d = 19244/7 - 2755. Let l be 2/7 - (-115)/(-35). Calculate the common denominator of l/(-9)*(-237)/(-2) and d.
14
Let g(t) = 30*t - 80. What is the lowest common multiple of 28 and g(3)?
140
Suppose -d = 4*d - 60. Calculate the lowest common multiple of (-14)/4*8556/(-651) and d.
276
Suppose 657 = -8*z - 351. Let m(b) = -b + 2. What is the lowest common multiple of 48/5 + (z/35 - -4) and m(-6)?
40
Let r = 1 + -2. Let k(h) = 8*h**2 - 2*h. Calculate the smallest common multiple of k(-2) and (-3 - -7)*(1 - r).
72
Let m = -1789/3 + 5291/9. What is the common denominator of m and 5/(-20)*(-73)/(-6)?
72
Let q(s) = -2*s + 20. Let u be q(13). What is the common denominator of 312/36*u/56 and -119/12?
84
Let j = 9503/6183 + 17/458. Let g(u) = u**3 - 2*u - 3. Let c be g(-3). Find the common denominator of j and ((-2)/c)/((-7)/1750).
54
Suppose 2*f = -4*c + 6 - 0, -2*f + 5*c - 3 = 0. What is the smallest common multiple of (-2*f)/(2/(-7)) and (3/((-12)/(-5)))/(6/48)?
70
Let f be (-2217819)/540 - (-2)/9. Let q = f - -4108. Let y = -2941 - -35401/12. What is the common denominator of y and q?
60
Let u(l) be the third derivative of -l**5/60 + 7*l**4/24 + l**3/3 + 8*l**2. What is the lowest common multiple of 12 and u(7)?
12
Let h = -113471/30 - -3782. Find the common denominator of -53/45 and h.
90
Let y = -7264 - -11257. Let g = -1516 + y. Let k = g - 7495/3. What is the common denominator of -11/8 and k?
24
Suppose -f = 5*d - 27, -d - 54 = -2*f + 3*d. Suppose 5*j = 61 + 89. What is the lowest common multiple of j and f?
270
Let n be (-21)/35 + (-263)/(-5). Let r = -34 + n. What is the least common multiple of r and 4?
36
Let c be (3/(-4) - -1)*(-6112)/5. Let o = 18991/60 + c. Calculate the common denominator of o and -1/6.
12
Let t be 1 - (-8)/(-2)*-1. Suppose 0*w = w - 4*k + 6, -6 = -t*w + 2*k. Suppose w*y - 22 - 22 = 0. Calculate the smallest common multiple of y and 16.
176
Suppose -2*q + 13 = -0*q - 5. Suppose 2*j + j + 60 = 3*k, -5*k + 70 = j. Calculate the lowest common multiple of k and q.
45
Find the common denominator of (-1 - 21) + ((-4)/(-3))/(-2) and 2/19.
57
Let g be 2/(0/2 - 2). Let a be (3 - (4 + -1))*g. Suppose -5*r - 30 = -5*i, a*r - 6 = -2*r. Calculate the lowest common multiple of i and 7.
63
Let q(r) = -155*r + 3. Let h = 58 - 59. Calculate the smallest common multiple of q(h) and 10.
790
Let l = -1818 + 2139. What is the smallest common multiple of 9 and l?
963
Let j = 29 - 41. Calculate the least common multiple of (-2 + 26/7)/(j/(-42)) and 11.
66
What is the common denominator of (486/(-10) + -3)*5/(-45) and (-363)/(-90) + (-2)/5?
30
Let w be 16/12*(-3)/(-2). Suppose 0 = -w*k + 7*k + 30. Let a = k - -8. Calculate the smallest common multiple of a and 3.
6
Calculate the lowest common multiple of (-23978)/(-266) + 1/(-7) and 90.
90
Let w(u) = -u**3 + 7*u**2 - 7*u + 8. Suppose 0 = 4*z - 3*a - 33, 31 = 3*z - 63*a + 62*a. What is the lowest common multiple of z and w(6)?
12
Calculate the lowest common multiple of 3*8/12 + (-5 - -11) and 9.
72
Suppose -4*i = 2*g - 128, 3*i - 396 = -5*g - 48. What is the lowest common multiple of g and 6?
72
Calculate the least common multiple of (12/10)/(((-306)/(-60))/17) and 73.
292
Let i = 123752/49 - 2526. Let k = i - 1679/735. What is the common denominator of k and 40/33?
165
Let s = 314715/26 - 12106. Calculate the common denominator of 1 + 1 + -2*(-126)/(-96) and s.
104
Let a(b) = -5*b**3 + 1. Let j be a(1). Find the common denominator of (-166)/(-84) + j/8 and 73/3.
21
Suppose -22*d + 1091 = -361. What is the lowest common multiple of d and 110?
330
Suppose 0*u = -5*u + 55. Calculate the smallest common multiple of u and 7.
77
Let x(q) = -2*q**3 - q**2 + 2*q - 1. Let i be x(-2). What is the common denominator of (i/(-3))/(20/6) and 296/740 + (149/40)/1?
40
Let s(w) = 17*w**3 + 3*w - 16*w**3 - 2*w**2 - 6 + 8*w**2. What is the smallest common multiple of 6 and s(-5)?
12
Find the common denominator of -3/50 and (-73)/(-30) - -2*(-6)/4.
150
Let n(v) = v**2 - 2*v. Let f be n(3). Suppose -f*x + 10 - 4 = 0. Calculate the smallest common multiple of x and 16.
16
Find the common denominator of 40/(-16)*-2 + 404/(-70) and 85/2.
70
Let g(n) = n**3 - 11*n**2 + 9*n + 8. Let q be g(10). Let t be ((-168)/16)/(3/(-4)). Let x = t - q. Calculate the lowest common multiple of x and 12.
48
Let h(q) = 12*q**2 - 8*q - 3. Calculate the smallest common multiple of 108 and h(3).
324
Let y be 4*1 + (-14 - -10). Suppose y*u - 24090 = 6*