le of 213 and j?
2343
Let z be (-2)/6 + (-305)/(-15). Let s be (z/(-18) - (-16)/(-72))*-140. Let y = -15587/84 + s. Calculate the common denominator of y and 4/11.
308
Let d(y) = y**3 + 11*y**2 + y + 4. Let a be d(-10). Let j = a + -219. Calculate the lowest common multiple of (-1 + -1)/(25/j) and 7.
70
Suppose -6444 = -95*a + 83*a. Suppose 8*n - 4*n - a = -3*x, -5*n + 5*x + 715 = 0. Calculate the least common multiple of 15 and n.
690
Suppose 7 = 2*f + 1. Let d be (-243)/(-54)*76/18. Suppose b - 5*y = 2, 18*y - d*y - 13 = -2*b. Calculate the lowest common multiple of f and b.
21
Let a(b) = -14*b**3 - 15*b**2 - 12*b + 10. What is the lowest common multiple of 18 and a(-10)?
37890
Suppose -5*j = 1040*h - 1039*h - 350, 5*j - 1280 = -4*h. Calculate the smallest common multiple of h and 355.
22010
Suppose -16 = 4*y, 3*g + y = -2*g - 9. What is the common denominator of 2 - g - 113/4 and 262*((-88)/(-96) - 1)?
12
Let v = 19303681/120 + -160865. Calculate the common denominator of v and 9/212.
6360
Suppose -5*p = -3*j - 125488, -30*j + 31*j - 4 = 0. Calculate the common denominator of 19/12 and -3*(-2)/33 - p/6160.
84
What is the common denominator of (-102)/100 + (-3521)/2515 and -103/220?
1100
Suppose 0 = 136*h - 128*h - 12080. What is the least common multiple of h and 20?
3020
Suppose 399*i - 23159 = -39*i + 43417. Calculate the lowest common multiple of 3515 and i.
28120
Let t = -10416419/4686 + 1599/781. Let a = 2209 + t. Find the common denominator of a and -61/38.
114
Calculate the common denominator of -30*(-7)/196*(-1575)/162 and (18/260)/((-4)/(-10)).
156
Let c be 4/(36/15)*(-12)/(-4). Suppose 0*g = -g - 5*q - 13, c*g - 40 = -4*q. Let s = 11 + -2. What is the least common multiple of g and s?
36
Let m = 28543 - 26827. What is the least common multiple of 468 and m?
5148
Suppose -6 = 3*t, 0 = -5486*k + 5484*k + t + 434. Calculate the least common multiple of 156 and k.
2808
Let c(r) be the second derivative of -r**5/20 - 11*r**4/4 + 17*r**3/3 + 33*r**2 + 2*r + 121. What is the least common multiple of 10 and c(-34)?
330
What is the common denominator of (15 - 11) + 281/28 - 10 and -145/108?
756
Let o = 1848/1381 - 6703657/4921884. Find the common denominator of 76/3267 and o.
39204
Suppose -2*h + 17 + 6 = -3. Let i = 50 - 26. Calculate the lowest common multiple of h and i.
312
Let t(g) be the second derivative of g**5/10 + 2*g**4/3 + 5*g**3/6 + g**2/2 - 4*g + 6. Calculate the lowest common multiple of t(-3) and 34.
68
Suppose 0 = -h - 3*v + 2*v + 14, 4*v + 52 = 5*h. Let r = 13 + -11. Calculate the least common multiple of (-256)/(-48)*27/r and h.
72
Suppose -35*b + 439 = 89. Calculate the lowest common multiple of b and 516.
2580
Let b be 3*(-2)/(-39) + (-4264926)/3315. Let l = -2/13433 + 51931984/40299. Let v = b + l. Find the common denominator of 22/9 and v.
45
Suppose 3*u + 2*y = -3, 4*y + 4 = -3*u - 5. Let a = -2768/7 + 21773/56. Find the common denominator of ((-4)/u + (-32 - -7))/8 and a.
8
Calculate the common denominator of (3/4 - -3)/(-4 + (-62 - 0)) and -87/2.
88
Let p(w) = 16*w**3 - w + 1. Let u(i) = -i**3 - i + 1. Let h be u(0). Suppose -1090*s + 1024*s + 660 = 0. Calculate the lowest common multiple of p(h) and s.
80
Suppose 31*z + 423 = 34*z. Suppose 0 = 14*o - 27 - z. Calculate the smallest common multiple of o and 280.
840
Let o = 2 - 3. Let l be (-2)/4*(2/o + 2). Suppose l = 10*v - 79 - 141. Calculate the least common multiple of 58 and v.
638
Suppose -5*w = 2*a - 287 - 499, -w - 3*a = -152. What is the lowest common multiple of 18 and w?
1422
Let g = -133851 + 1606331/12. Find the common denominator of 4/((-8)/(-75)) + -1 and g.
12
What is the common denominator of 9/550 and (9/(-105))/(-50*(-9)/(-1953))?
2750
Suppose -4*v - 6*k = -k + 764, 0 = 4*k. Let z = v + 329. Calculate the smallest common multiple of 16/(-3)*(-9)/6 and z.
552
Suppose l = q + 1 - 23, -4*l = 2*q - 74. Suppose -6*n - 14 - 4 = 0. What is the smallest common multiple of q and (36/8)/(n/(-18))?
27
Suppose -3*n - 100 - 1980 = 5*r, 2*r = 5*n - 863. Let o = r - -437. Calculate the smallest common multiple of 12 and o.
36
Let z(o) = 24*o**3 - 15*o - 16*o**3 + 7 + 0*o - 9*o**3 - 15*o**2. Calculate the smallest common multiple of z(-14) and 9.
63
Suppose 19*o - 3*o + o - 34 = 0. What is the smallest common multiple of o and 166?
166
Let f be (-120)/28 - (-6)/21. Let z(y) = -y**3 - 4*y**2 - 14*y - 20. Let t(g) = 15*g**3 - 1. What is the smallest common multiple of t(1) and z(f)?
252
Suppose -10 = m - 3*b + 2, 3*b = 0. Calculate the common denominator of 2/3 and 3 + (m/66 - 499/(-22)).
6
Let d be ((-9)/(-12))/(5/20). Suppose 50 + 31 = -d*g. Let p = -13 - g. What is the smallest common multiple of p and 2?
14
Let z(w) = w**3 - w**2 + 2*w + 2. Suppose 0 = -39*n + 27*n. Let b = 15 + -8. What is the least common multiple of b and z(n)?
14
Let x = 41513953/243 - 170839. What is the common denominator of -8/567 and x?
1701
Suppose 0 = -3*y - 1 - 2, -2*g + 4*y = 0. Let o be (-16)/g + (-4 - -6)*2. What is the least common multiple of 819/36 - 9/o and 20?
220
What is the common denominator of 10/(-4) + 17/((-52598)/(-6953)) and -47/130?
910
Let h be (-6)/(-2) + 0/(-13). Suppose 6*w - h*w + 3*b - 24 = 0, -w + 4*b = -28. Calculate the least common multiple of ((-27)/(-3))/((-3)/(-10)) and w.
60
Let f(q) = -q**3 - 17*q**2 - 15*q + 28. What is the lowest common multiple of f(-16) and 12?
12
Let b be (738785/40)/(1/((-2)/1)). Let s = -37139 - b. Let w = s + 3297/16. Find the common denominator of w and -31/6.
48
Calculate the lowest common multiple of 945 and ((-2)/21 - 19734/(-819)) + 6.
1890
Calculate the smallest common multiple of 9940/112 - 9/((-144)/20) and 2262.
33930
Let n be ((-94)/32)/(75/10). Let y = -133/24 - n. Find the common denominator of y and (25*28/(-120))/(0 + (-2)/(-1)).
60
Let b = 16518 - 16491. Calculate the lowest common multiple of b and 6033.
54297
Let y be -5*(-2)/4*(-96)/(-8). What is the common denominator of ((-108)/y)/(-6) + (-179)/60 and -133/48?
240
Let l(c) = -c**2 + 13*c - 19. Let k be l(4). What is the common denominator of -23/36 and (-322)/(-32) + (-68)/k?
144
What is the lowest common multiple of 12 - (-23 - -35) - (-252 + 0) and 630?
1260
Suppose 4*c - 8*c = -5*h + 14, 5*h = 2*c + 12. Calculate the common denominator of (h - 22)/(12/10) and 0 + (-9)/((-486)/(-387)).
6
Let c = 19027676/329 + -57835. What is the common denominator of 87/188 and c?
1316
Let k = -457 + 187. What is the common denominator of -71/81 and -4 + (k/(-48))/3?
648
Suppose -4*r - 29 + 249 = 0. Suppose -r*w + 54*w = -62. What is the common denominator of 25/6 and (w/(-48))/((-2)/(-3)) - 0?
48
Let a = -315482441/2794 + 451657/4. Calculate the common denominator of -82/99 and a.
50292
Let w(a) = 26*a + 31. Let q = 114 - 112. Let x(l) = -5*l - 6. Let y(g) = q*w(g) + 11*x(g). What is the lowest common multiple of 6 and y(-18)?
150
Suppose -7*k + 17045 = 4*b, b + 3142 + 6575 = 4*k. Calculate the lowest common multiple of 1122 and k.
14586
Suppose -1559*b + 1562*b - 1650 = -4*a, 0 = -b + 6. What is the lowest common multiple of 119 and a?
2856
Let o = -2189/987 - 70/141. Calculate the common denominator of o and 33/2836.
19852
Find the common denominator of ((-2)/(-5) + 0)/(-30 + 11644/390) and -41/1120.
1120
Let s be ((-39363)/(-5))/(-4*77/(-70)). Let y = s - 1791. Let p = -5663 - -79187/14. Calculate the common denominator of y and p.
154
Suppose 0 = -3*c + d - 32, 5*c + 3*d - 16 = 6*c. Calculate the smallest common multiple of 38 and (4/c)/(4 - 1503/375).
950
Suppose -3*w + 5*k = -4543, 0 = 16*w - 18*w + k + 3045. Calculate the least common multiple of w and 52.
39676
Let r = 1141/6745 + -4/355. Find the common denominator of 4/129 and r.
2451
Let d = 80 - 25. Let r = d + -20. Let l(s) = -s**3 + 10*s**2 - 2*s + 22. Calculate the least common multiple of l(10) and r.
70
Let a be (135501032/(-330))/(-4) + 12/(-15). Let t = a + -102652. Calculate the common denominator of t and 28/45.
495
Let a(d) = 2*d**3 - 5*d**2 + 71*d - 212. What is the lowest common multiple of 30 and a(3)?
30
Let i(k) be the third derivative of 53*k**4/24 - 58*k**3/3 + 164*k**2. Calculate the smallest common multiple of 30 and i(4).
480
Let g(z) = -4*z + 12. Let a be g(14). What is the common 