*r**4/6 + 3*r**3/2 + 19*r**2/2 - 129*r. What is the smallest common multiple of 45 and z(-8)?
225
Let o = -112 + 94. Let j be (-4)/o + ((-93002)/(-31815))/(-13). Let a = j + -46301/251490. Calculate the common denominator of a and 25/12.
996
Suppose 5*i - 10*i - 10320 = 0. Let h be 12/24 - 5570/i. Let z = h + -82/43. Find the common denominator of -107/6 and z.
24
Let s = 16 + -36. Let x be 5/s + (-2)/(-8). Find the common denominator of (-2924)/(-357) + (-4 - x) and -23/7.
21
Let v(p) = -11*p + 277. Let i be v(18). Let q = -2603/33 + i. Let b = -1/2276 + -114935/6828. Find the common denominator of b and q.
66
Let p(y) = 4*y**2 - 28 - 5*y + 10*y - 16 - 3*y**2. Calculate the least common multiple of 26 and p(-10).
78
Let q = -8726201/573 - -15229. Calculate the common denominator of q and 113/12.
2292
Let a = -268658 + 268659. Calculate the least common multiple of a and (-2)/(-6) + (-32)/(-3).
11
Suppose 5*v + 4*y - 292 = 8*y, -5*y - 50 = -v. Let m = v - 1. Calculate the lowest common multiple of 13 and m.
767
Calculate the least common multiple of (-2)/(-9) + 68/18 and (-8)/28 + (2/14)/((-6)/(-474)).
44
Suppose 7*b - 4*b = 87. Suppose 3*l = 25 + b. Suppose 4*c = -5*g - 59 + 168, -c + 1 = -4*g. Calculate the smallest common multiple of c and l.
126
Suppose -253884 = -129*l - 35616. Calculate the least common multiple of l and 48.
6768
Let a = 21202/1593 - -38/1593. Let y = -1/1440 - -57631/44640. Calculate the common denominator of y and a.
93
Let y(v) = -25*v**3 + v**2 + 8*v + 319. Calculate the lowest common multiple of 44 and y(0).
1276
Let i(g) = 201*g**2 + 120*g + 370. What is the lowest common multiple of 1926 and i(-3)?
32742
Let p = 19 - 2. Suppose 5*h - 4*s - p = -s, 14 = 3*h + 2*s. Suppose -l + o - 255 = -299, 0 = 3*o. Calculate the least common multiple of h and l.
44
Suppose -7*v - 116 + 480 = 0. Let f = v - 41. Calculate the lowest common multiple of 2/(9/(-12) - -1) and f.
88
Suppose -2*l = -p + 3, -p + 1 = 3*l - 2. Suppose -5*x = -l*x + 20. What is the least common multiple of (106 - 4)/3 + x and 9?
90
Calculate the common denominator of -53/210 and (-4)/(-18) + (-29733)/(-8316) + -2 + -1.
420
Let q(u) = -8*u - 18. Calculate the lowest common multiple of ((-5)/(35/2))/((-25)/350) and q(-8).
92
Suppose -s + 2*s = -v + 10, 3*s - 42 = -5*v. Let l be (-15)/6 + 3/6. Let j = 7 + l. What is the smallest common multiple of v and j?
30
Suppose 16*z + 3422 = 78*z - 3*z. Suppose 4*y = -0*y + 3*u + 47, 2*u + 10 = 0. What is the lowest common multiple of y and z?
232
Let n be 113/7*(-464)/184. Let s = 438059/7245 + n. Let u = 187/10 - s. Find the common denominator of -26/21 and u.
126
Let z = -11/2206 - 60063/341930. Calculate the common denominator of z and 131/170.
5270
Let g = -3641/61 - -2745215/46116. Find the common denominator of 181/924 and g.
8316
Let i(f) = 6*f + 34. Let h be i(-5). Suppose 0 = -3*x + 70 - h. What is the lowest common multiple of x and 5?
110
Suppose 203422 = 249*q - 109054 - 50068. Calculate the smallest common multiple of q and 364.
1456
Let s(g) = -2*g + 28. Suppose 19 = 15*i - 131. Let b be s(i). Suppose -2*t = -0*t - b. What is the smallest common multiple of 6 and t?
12
Let x(m) = 3 + 0 - 2*m + 4 + 1 - 4. What is the lowest common multiple of x(-5) and ((-52)/10)/(3/(-15))?
182
Suppose 66 = 5*k - 5*o - 24, 3*o = -4*k + 79. Suppose -f + 41 = k. Calculate the smallest common multiple of f and 142.
1562
What is the least common multiple of 210 and (-2)/(-5) - (972566/(-6985) + (-4)/11)?
420
Let w = 2407703/216 + -11147. Find the common denominator of 1/(-2) + (-31)/(-162) and w.
648
Suppose 0 = 5*r - h - 246, 23 = 4*r - 4*h - 161. Let o = 173/4 - r. Find the common denominator of -59/24 and o.
24
What is the common denominator of 49/16 and ((-9)/(-30)*(-820)/72)/((-80)/9)?
320
Let w be 8/(-12) + 33/9. Suppose -4942 = w*j + s, -5*s + 3280 = -2*j - 2*s. Let l = 18092/11 + j. What is the common denominator of l and 10/9?
99
Let t(h) = -5*h**2 - 9*h + 26. Let g be t(4). Let j = 93 + g. Calculate the least common multiple of 30 and j.
30
Let y = -593 - -597. What is the smallest common multiple of 12 and y + (2 - 2) + -4 + 4?
12
Let t = -1763/6 + 2521297/8580. What is the common denominator of 1/2860 and t?
2860
Let q = 1299 - 1385. Suppose -b + 475 = -6*b. Let g = q - b. Calculate the lowest common multiple of 25 and g.
225
Suppose -12*f + 1932 = -444. What is the least common multiple of 69 and f?
4554
Let b = 1475 + -1507. Let w = -22025330/259 - -85040. What is the common denominator of w and b?
259
Suppose -c = 37 - 33. What is the common denominator of -52/23 and 4 - 43*-2*2/c?
23
Suppose 16*x - 374 = 11*x + 4*z, 4*x - 2*z = 304. Find the common denominator of 113/78 and (-2 + 175/x)/((-40)/24).
390
Suppose -2590 = 32*w - 25*w. What is the common denominator of -2 + (615/w - -5) and 103/20?
740
Let p(s) = s**2 + 7*s + 3. Let w be p(12). Find the common denominator of -7/6 and (-224)/w*3*9/12.
66
What is the common denominator of (174*(-17)/(-153))/((-32)/10) + 4 and -73/752?
2256
Let i(h) = 93*h**3 - 8*h**2 + 62*h - 122. Calculate the smallest common multiple of i(2) and 2618.
7854
Calculate the common denominator of 16/107 and (2/(-4) - (-590)/1284)*-6.
107
Let x(u) = u**2 - 24*u - 20. Let l be x(19). Let w = 116 + l. Let k(q) = 2*q**3 - 2*q**2 - 2*q + 3. What is the least common multiple of k(w) and 62?
62
Suppose 4*m = -5*m + 3*m. What is the lowest common multiple of (42/49)/((-2)/(-14)) and (m + (-3)/(-2))*990/135?
66
Suppose -174*g + 28 = 2*y - 176*g, 0 = -5*y + 2*g + 52. Suppose -3*f = -3*u + 180, 5*u - 2*f - 370 = -82. What is the smallest common multiple of u and y?
56
Suppose -3*t = a - 3375, t + 4*a - 1602 = -477. Suppose 1295 + t = 22*d. Calculate the smallest common multiple of 19 + ((-4)/(-2))/(-2) and d.
990
Let z = -3707 + 36977/10. Find the common denominator of 1 + (-530)/(-24)*24/(-160) and z.
80
Suppose -5*s - z = -109, -22*s - 2*z = -17*s - 108. What is the lowest common multiple of s and 132?
132
Let i = -4695/7 + 672. Let z be (-3)/(-9)*9 - 12457/4153. Let o = 269941/8306 + z. What is the common denominator of o and i?
14
Suppose j + 2*s + 184 - 192 = 0, 4*j + 4*s - 64 = 0. Calculate the smallest common multiple of j and 7050.
28200
Let f = -307358123 - -538491467167/1752. Let m = -1100/73 + f. What is the common denominator of m and 125/6?
24
Let n(k) = 15*k + 54. Let f be n(-3). What is the common denominator of 77/18 and ((5800/45)/(-4))/((-12)/f)?
18
Let w be (-4)/(-6) + -1 - (-7815)/(-45). Let s = 272 + w. What is the least common multiple of 4 and s?
196
Let m be 34/4 - 3/2. Suppose 18 = -11*z + 8*z + 5*c, 4*z = 4*c - 24. Calculate the common denominator of (-98)/(-44) - (z + m) and 25/16.
176
Calculate the common denominator of 1900/(-630) - 6/(-4 + 1) and (-340)/(-15)*(1/9)/1.
189
Suppose -8 = 2*p, -4*r - 112 = -7*r + 4*p. Calculate the lowest common multiple of r and 196.
1568
Suppose -6 = 4*z + m - 20, -z + 8 = -2*m. Suppose c - z = -c, 0 = 3*s + 3*c - 105. Suppose -v + 3*v - 16 = 0. Calculate the lowest common multiple of s and v.
264
Let v(i) = 3*i + 13. Suppose -5*a = -3*z - 37, 7*z + 4*a = 2*z. Calculate the least common multiple of v(z) and 1.
1
Let a = -17328 + 2859127/165. What is the common denominator of a and -10/2019?
111045
Calculate the common denominator of (447/(-21))/(144/28) and 35/188.
1692
Let q = -16140 + -5562. Let j be ((-13)/(-117))/((-80)/q). Let f = 92/3 - j. Find the common denominator of f and 19/2.
40
Let c(i) = -i**3 - 4*i**2 + 4*i + 7. Let v = -183 + 187. Suppose -121 = -v*z - 109. What is the least common multiple of z and c(-5)?
12
Let z be (-2)/(8/12) - (-5 + 0). Suppose 5*q = 3*d + 150, z*q = 6*q + 5*d - 120. Calculate the lowest common multiple of 54 and q.
270
Suppose l = -5*x + 266, 4*l - 224 = -x + 878. Let v = l - 232. What is the smallest common multiple of v and 2?
44
Let p(l) = 18*l - 66. Calculate the smallest common multiple of p(5) and 456.
456
Suppose 1163 = -3*c - 3*y + 1250, 5*y = c - 35. Calculate the smallest common multiple of c and 28.
420
Suppose -342209 = -0*p + 19*p. Let o = p - -612471/34. Calculate the common denominator of -25/12 and o.
204
Let j = 1327447/2177768 - -12/16013. What is the common denominator of 103/