ose -s*d = -2*d - 64. Calculate the common denominator of d + -4 + 65/(-18) and 119/10.
90
Let n(m) = m**3 + 5*m**2 - m + 4. Let q be n(-5). Let o = 75 - q. Let k = 861 - 851. What is the least common multiple of o and k?
330
Let a(p) = 160*p + 59. Let d be a(8). What is the common denominator of 57/32 and d/780 - 6/9?
160
Let h(s) = -27*s**2 + 3*s - 2. Let q(z) = -z**2 + z - 2. Let u(o) = -h(o) - 2*q(o). What is the least common multiple of u(1) and 30?
30
Let u = -94 - -100. What is the lowest common multiple of 106 and u?
318
Let p = -4033 + 16169/4. Find the common denominator of p and 137/2658.
5316
Let r be ((4880/(-15))/8)/(2/(-3)). Suppose -x + r = 15. Calculate the smallest common multiple of 4 and x.
92
Find the common denominator of -65/567 and (-804004)/4130280 + (-1 - 26/(-20)).
6237
Let s(y) be the second derivative of -43*y**3/6 - 3*y**2/2 + 42*y. Calculate the lowest common multiple of s(-1) and 40.
40
Let y be -2 - (2/3)/(2/(-183)). Let s = y + -22. Let p = 7/2 - s. Find the common denominator of -77/4 and p.
4
Find the common denominator of -121/780 and (-71676)/246240 - (-4)/18.
29640
Let i(g) = g**3 - 31*g**2 + 25*g + 164. Calculate the lowest common multiple of 1896 and i(30).
13272
Let b be (-3604)/119 + (-4)/(-14). Let x = b + 38. Let s = 299 + -223. What is the smallest common multiple of x and s?
152
Let l = -517333/1082070 - -23/9837. What is the common denominator of 51/275 and l?
1650
Let b be 31904767/1628 - (0 - 0). Let y = b + -19600. What is the common denominator of y and -43/36?
396
Suppose 0 = 5*h - 5*q + 10, 5*h - 4 = 2*q + 1. Suppose h*n = 31 + 2. What is the lowest common multiple of 36 and n?
396
Suppose 80*t - 696 - 165 = 19. Calculate the least common multiple of 150 and t.
1650
Let o(z) = -3*z**2 - 280*z - 616. Suppose -2*d + 2*p + 74 = 0, 4*d - 143 = -0*d - p. What is the lowest common multiple of d/21*(-7)/(-1) and o(-91)?
84
Let b = -161 + 245. What is the common denominator of (b/16)/(-3) - 12/(-4) and -71/18?
36
Let u = 44963/146720 - -118/655. Calculate the common denominator of -29/224 and u.
224
Let t(b) = 144*b + 67*b**3 - 2*b**2 - 66*b**3 - 162*b - 5. What is the smallest common multiple of 4/10 + 33/5 and t(-3)?
28
Let u be (-4)/(-6) - 16/(-3). Let l(f) = f**3 - 9*f**2 + 6*f - 5. Let w be l(9). Suppose u*r - w = 5. What is the smallest common multiple of 11 and r?
99
Let z(l) = -l**3 + 4*l**2 - 5*l + 4. Let b be z(2). Suppose 2*u + b*p - 1 + 9 = 0, 0 = -4*u + p - 16. Find the common denominator of u/10*310/(-60) and 77/15.
15
Suppose 2*j = 4*b - 42, 2*b + 7 + 2 = -j. What is the least common multiple of 5 and (-4)/5 + (8 - 792/j)?
60
Suppose -9*t - 342 = 54. Let l = -40 - t. Calculate the smallest common multiple of l and 10.
20
Let f = 16868/123539 - -4/731. Find the common denominator of 16/2847 and f.
37011
Let y(x) = -8*x**2 + 550*x + 153. Calculate the lowest common multiple of y(69) and (-120)/(3/(6/(-2))).
120
What is the common denominator of -37/205 and (-4)/6 - ((-71838)/27810 - -2)?
21115
Let g = 112198 + -895021/8. Let a be 16*(-7)/(-30 + 2)*81. Let d = a - g. Find the common denominator of d and -31/12.
24
Let l = 193850721/650 + -298232. Find the common denominator of l and -95/4.
1300
Let d be (-6)/(-10) + -1 + 204384/(-390). Let u(l) = -l**3 + l**2 + 7*l + 5. Let j be u(-8). Let n = d + j. Calculate the common denominator of n and 31.
13
Let x = 94/127 + -9234/6985. Calculate the common denominator of 41/355 and x.
3905
Let a = -2713880/11 - -245633. Let v be (4/6)/((-2)/3246). Let o = v - a. What is the common denominator of 73/6 and o?
66
Let c = -51973/5620 + -3/1405. Calculate the common denominator of -7/1744 and c.
1744
Let d(w) = w**3 - w + 1. Suppose -1 = -47*c + 46*c. Let k be d(c). What is the common denominator of 2/5 and (k - -1)/((-32)/396)?
20
Let v = -59297/48 + 1235. What is the common denominator of 4/(-10) + (-1)/((-800)/415) and v?
480
Let w be -1*((-944076)/(-6))/(-2). Let o = -7080469/90 + w. Find the common denominator of -14/9 and o.
90
Suppose 6*r + 43 = 2*j + 3*r, 3*j - 62 = 4*r. Suppose -31*a = -25*a + 60. Let l = j - a. Calculate the smallest common multiple of l and 12.
24
Suppose 1232 = -7*h - 1316. Let d be h + -4 + 4 - 4. Calculate the least common multiple of d/(-26) + (-6)/39 and 14.
14
Let p(d) = 205*d - 185. What is the smallest common multiple of p(1) and 24430?
48860
What is the common denominator of 85/224 and (-5)/15 - ((-430)/1344 + 0)?
224
Let m = -5880 - -6356. What is the lowest common multiple of m and 1?
476
Let v = 2402074639/762944 + 7/108992. Let j = v + -264385/84. Let g = 109919/13846 + -10/989. Find the common denominator of j and g.
84
Let b be ((-6)/4)/((-45)/(-14880)*16). Let m = 1 - 8. Let s = m - b. What is the lowest common multiple of 16 and s?
48
Let j(q) = -10*q + 364. What is the smallest common multiple of j(35) and 2604?
2604
Suppose 4823 = 4*j + 1151. Calculate the smallest common multiple of 89/4 + (-12)/960*20 and j.
10098
Let p(r) = -r + 4. Let u be 375 - (310/93)/((-2)/3). Let y = u + -379. Calculate the least common multiple of p(3) and y.
1
Calculate the common denominator of (-2)/(-5) - ((-36372152)/(-2221380) + (-32)/2) and 37/1722.
5166
Suppose 1075*x = 1072*x + 630. Calculate the common denominator of -1/61 and ((-70)/(-165))/(20/x).
671
Find the common denominator of (-120)/16 - -6 - (-1983)/1428 and 77/136.
952
Let b = -2 + 5. Suppose 4*i + 4*w - 18 = 2*i, 0 = -5*w - 20. Suppose -13*p = -i*p + 92. Calculate the lowest common multiple of p and b.
69
Let x(i) = i**2 - 5*i + 13. Suppose -12*c - 16 = -16*c. Let f be x(c). Suppose 0 = -2*s + f - 5. What is the smallest common multiple of s and 10?
10
Calculate the least common multiple of (1993 + 1)/(((-63)/(-36))/(49/14)) and 20.
19940
Suppose -86 = 14*p - 16. Let k = 30 + -22. What is the lowest common multiple of (-516)/(p - 1)*1 and k?
344
Let a = 24 + -19. Suppose a*x + 13 = 4*o, x + o - 1 = 3*o. Let j(q) = -2*q - 5. What is the least common multiple of 5 and j(x)?
5
Let m = 1572372 + -1971754603/1254. What is the common denominator of -55/21 and m?
8778
Let j = -9453 - -113567/12. Calculate the common denominator of -41/19212 and j.
19212
Suppose -2*q + 5*z - 9 = 0, -2*z - 3*z = -q - 7. Calculate the lowest common multiple of 29 + ((-2)/2 - q) and 25.
150
Let w = -80753696 + 8882978139/110. Let z = -3262/5 + w. Let b = -11349/8 - -1407. Find the common denominator of z and b.
88
Let n(o) = -o**3 + 19*o**2 - 6*o - 210. Calculate the smallest common multiple of n(18) and 4.
12
Calculate the lowest common multiple of ((-32)/4 + (-249)/6)/(3/(-30)) and 363.
5445
Let d(u) = u**2 + 230*u + 1145. Calculate the least common multiple of d(-5) and 44.
220
Let d = 11 - 8. Let n(g) = g**2 + 35*g - 175. What is the smallest common multiple of d and n(5)?
75
Let x = 1160165/133 - 8723. Find the common denominator of x and (-12806)/19855 + (-2)/(-11).
665
Let r = 227030891/66065580 + -365/157299. Let z be (-3)/(-540) + 0/2. Let x = z - r. Calculate the common denominator of x and -16/3.
21
Let h(s) = s**3 + 4*s**2 + s + 2. Let f be h(-4). What is the least common multiple of (-111)/(-39) - f/13 and 0 + (-24)/(-18)*3?
12
Let x = 21177 - 8280231/391. What is the common denominator of 11/17 and x?
391
Suppose 0 = -4*y - 2*q + 13 + 7, -5*y + 31 = 4*q. Suppose -6*r + 9 = -3. What is the smallest common multiple of r and 2 + (y + 1 + -2)*6?
14
Let w = -32295/1178 - -2525/38. Let m = -85043/2232 + w. What is the common denominator of m and -31/88?
792
Suppose -13 = -4*j + 2*p - 3*p, -4 = -4*p. Let c(o) = o**3 + o**2 + 6*o - 299. Let f be c(0). What is the least common multiple of 115/13 + (-46)/f and j?
9
Let g be ((-105772)/3 + -2)/7. Let a = 5039 + g. Let v = -38994 - -350873/9. What is the common denominator of v and a?
63
Let v be ((-6)/8)/((-279)/(-14136)). Let x(o) = -o**3 - 36*o**2 + 78*o + 79. Calculate the least common multiple of 171 and x(v).
171
Find the common denominator of 9978/6510 + -3*6/12 and -123/310.
2170
Suppose -2*t = -4*t + 5*v + 20, 4*v + 16 = 0. Suppose 21 = s - t. Suppose s*b - 22*b = -10. Calculate the least common multiple of 12 and b.
60
Let g = 3294 - 2736. Calculate the least common multiple of 42 and g.
3906
Let q be (-6)/(-4)*-8*(-1 