e -3*h + 76 = -80. Find the common denominator of -6/7 and ((-2 - h) + 2)/(3 - -4).
7
Let l = -8/453 - -10507/4983. Find the common denominator of -45/346 and l.
3806
Let y = -4210 - -75737/18. Let d = 900 + -4437/5. Find the common denominator of d and y.
90
Let m = -8606 - -68755/8. Let p = -667978 - -4683500/7. Let w = p - 1090. Calculate the common denominator of m and w.
56
What is the lowest common multiple of (16 - (3 + 5)) + 8 and 24?
48
Let m = 27/19 - -37/228. Calculate the common denominator of m and -74/63.
252
Suppose 2*d = 6, 21 = 3*m - 0*d + 2*d. Let h(k) = -9*k + 10*k**2 - 18*k**2 + 6*k**2 - 11*k + 4. What is the least common multiple of h(-10) and m?
20
Calculate the common denominator of 97/84 and 10850/372*9/(-14).
84
Let m(g) = 30*g**2 - 2*g. Let h be m(-1). Let v = -16 + h. What is the lowest common multiple of v and 12?
48
Suppose 2*r - 2 = r. Let d be (-1)/(-5) - 64/20. What is the lowest common multiple of r and ((-7)/d)/((-2)/(-6))?
14
Let l = -148625/1064 + 2672/19. Calculate the common denominator of -93/224 and l.
224
Let d = 1/24212 + 1246907/266332. What is the common denominator of d and 1 - 3*15/(-108)?
132
Suppose 0 = 8*c - 26 - 1510. Calculate the smallest common multiple of c and 96.
192
Let w(k) = -k**2 + 2*k + 3. Let n be w(3). Suppose n = 9*x - 13*x + 96. What is the lowest common multiple of 12 and x?
24
Let f = -8609 + 387449/45. What is the common denominator of f and 113/108?
540
Calculate the least common multiple of 27 and 5 + (2*2 - (21 + -24)).
108
Let s = -17282 + 829687/48. Find the common denominator of s and -79/12.
48
Let v = -11885/2 - -6277. Let r = -4021/12 + v. Find the common denominator of ((14/60)/7)/(8/2060) and r.
12
Let n be ((-10)/42)/((-2)/(-846)). Let q = n + 4811/42. Find the common denominator of ((-194)/(-40))/((72/(-15))/(-6)) and q.
48
Let n be 7/(-14)*0/3. Let k(q) = 4*q**2 + 10 - 2*q**3 + q**2 + q**3 - q - 6*q**2. Calculate the least common multiple of 10 and k(n).
10
Let f(d) = -3*d + 33. Let r be f(10). Suppose 5*v + r = -2*l - 0, 5*v = -5*l + 30. Let a = 1 + 6. What is the smallest common multiple of a and l?
77
Suppose 0 = 5*s - 5 - 10. Suppose -15 = -4*q + 5*k, 3*q - 111*k - 35 = -112*k. Calculate the smallest common multiple of q and s.
30
Let m = -20 + 21. Calculate the lowest common multiple of (10/(-6) + 1)/(m/(-21)) and 44.
308
Let t = -1040/3 + 325. Calculate the common denominator of t and -83/4.
12
What is the common denominator of (142173/11826 + -12)*30/4 and -89/22?
9636
Let o = -18 + 22. Suppose -o*w - 11 = -4*b + 1, 4*w = -b + 13. Let t(z) = -z + 2. What is the smallest common multiple of b and t(0)?
10
Let g = 6845/7 + -14269/14. Let u = g - -43. What is the common denominator of u and 107/56?
56
Let n(l) = -13*l - 45. What is the lowest common multiple of 12 and n(-7)?
276
Let d(p) = p**3 - 4*p**2 + 9. Let u be d(7). Find the common denominator of 2 + (490/(-8))/7 and 24/u - (-1424)/(-130).
20
Suppose 62 = 12*o + 14. Calculate the common denominator of -47/28 and 33/48 - (o - 4).
112
Suppose 4*y - 3*w - 575 = -0*y, -y + 134 = -4*w. Calculate the common denominator of 87/(-7)*(y/40 - 4) and 170/(-52)*9/(-30).
260
Let m(s) = s**2 + 9*s. Let g be m(-7). What is the lowest common multiple of 18/2 + (-42)/g and 4?
12
Let p(g) = -2*g**3 - 3*g**2 - 5*g - 5. Let b be p(-2). What is the common denominator of (-105)/75*b/2 and 55/4?
20
Suppose 0 = 3*x + 4 - 1, 2 = 2*s + 4*x. Suppose s*h - 5 = 13. Let y = -40 - -62. What is the lowest common multiple of h and y?
66
Let n = -18 - -16. Let m be -4 + (n - -1)/(-1). What is the common denominator of 85/2 and (m/72)/(1/(-82))?
12
Find the common denominator of -1 + (-22)/3 + 9 and 54/5.
15
Let h = 6015 + -356. Let u = -130206/23 + h. Find the common denominator of u and 85/8.
184
Let z be (-8)/12 + 0 - (-14047)/12. Let l = -6953/6 + z. What is the common denominator of l and -47/14?
84
Suppose -2*z + a = 4*a + 99, -z = 3*a + 57. What is the common denominator of 8/z*(-183)/(-24) and -21/10?
210
What is the least common multiple of 5 and ((2 + -1)/1)/((-1)/(-31))?
155
Suppose -5535 + 14670 = -9*g. Let d = -4035/4 - g. Find the common denominator of d and -65/2.
4
Calculate the common denominator of -35/37 and (154/42)/((-70)/(-231)).
370
Suppose 5*f - 8 = 3*r + 22, -2*r - 19 = -3*f. Calculate the least common multiple of 8 and (195/10)/(-13)*(r - -1).
24
Let z = 114 + -24. Calculate the lowest common multiple of z and 39.
1170
Let w = -2717 - -737. Let l = w - -27707/14. Calculate the common denominator of 22/(-40)*(-8 - 93/(-6)) and l.
56
Let y = -18 + 30. What is the common denominator of (-11 - -309)*(-1)/y and 79/18?
18
Let m = -32 + 34. Suppose 2*a - 4*q = -2*a + 32, 0 = 2*a + m*q - 16. Calculate the least common multiple of a and 9.
72
Suppose 10*z = 9 + 441. What is the least common multiple of z and 216?
1080
Let m(w) = -w**3 + 4*w**2 - w - 2. Let x be m(2). Let k = -68 + 204. Find the common denominator of -73*x/k - -2 and 41/16.
272
Let l be (-32 + -1)*354/(-9). Let w = 3953/3 - l. Calculate the common denominator of w and 73/9.
9
Let d = 23 + -35. Calculate the smallest common multiple of ((-4)/(-6))/(d/(-90)) and 18.
90
Suppose 22 = -5*u + 2*r, 10*u - 3*r = 5*u - 23. Let s be -20 + u/(7 + -3). Calculate the smallest common multiple of 7 and (-141)/s - (-2)/7.
7
Let w(t) = -t**3 + 10*t**2 + t - 8. Let d be w(10). Suppose -3*h - d*h - 195 = 0. What is the common denominator of -2 - (-3 - h/7) and -59/7?
7
Calculate the common denominator of 77/108 and (2 + ((-84)/81 - 1))*-68.
108
Suppose 2*j + 39 = -j. Let q = j - -21. What is the lowest common multiple of q and 1/(-3) - 475/(-75)?
24
Suppose 0 = 7*b - b - 378. Let j = -42 + b. Calculate the smallest common multiple of j and 6.
42
Let t = -1284774 + 38537221/30. Let g = 60301/3 - 20312. Let o = g - t. Calculate the common denominator of 5/29 and o.
290
Let x = 215 - 200. Calculate the least common multiple of x and 72.
360
Find the common denominator of (3*2 - (-1326)/(-208))/(9/(-13)) and (-2)/4 - 124/(-6).
24
Let o be ((-10)/(-16585))/(676668/338302 + -2). Let d = 1/3317 + o. What is the common denominator of d and 113/18?
144
Suppose 4*i + 5*h = -0*i - 66, i + h + 16 = 0. Let p = 1201/4 - 3841/12. Find the common denominator of p and i*(-3)/(18/8).
6
Let r = 405956 + -2449009/6. Let w = 2207 + r. Calculate the common denominator of 19/12 and w.
12
Let z = 88/3 + -6619/228. What is the common denominator of -23/6 and z?
228
Suppose 0 = 5*l - 469 - 396. Let r = l + -137. Calculate the least common multiple of 8 and r.
72
Let l = -99 + 36. Find the common denominator of (-3)/21*(l - -5) and ((-5)/(-30))/(2/290).
42
Let t(p) = 957*p**2 + 4*p + 3. Let b be t(-2). Let f = b + -38127/10. Let s = 1669/2 - 832. Calculate the common denominator of s and f.
10
Let l(x) be the first derivative of x**3/3 + x**2 + 6*x + 7. Let k be l(-5). Calculate the common denominator of (6/(-20))/(3/k) and -55/2.
10
Suppose 0 = -6*y + 2*y + 4. Suppose v - 3*x - x + 3 = 0, -26 = -4*v - 3*x. What is the smallest common multiple of v and (-1)/(1/(y + -9))?
40
Let i = 44306/5313 - 192/23. Let t = i + -333/77. What is the common denominator of t and -10*(2/(-21))/((-4)/(-6))?
21
Suppose -o + 6*o - 460 = -2*u, u + 2*o - 232 = 0. What is the smallest common multiple of u and 8?
240
Let c = -282/149 - -19167/3278. What is the common denominator of c and 55/8?
88
Let b be -2 + 5/(5/4). Let z = -2 + b. Suppose 0 = s - 3*o + 8, z*o = -2*s + 5*o - 11. What is the smallest common multiple of s and 36?
252
Let s = 70/53 - 2489/159. Find the common denominator of s and ((-51)/15 - 4) + 4.
15
Calculate the smallest common multiple of 4 and 1408/3 - (-42)/63.
940
Suppose -6*k - 2 = -56. What is the lowest common multiple of (-10)/((-6)/k + 0) and 12?
60
Suppose -5*s + 9 = 4*w, -4*w - 1 = -5*s - 0. Let z(y) = -2078*y**2 + y + 1. Let r be z(s). Let p = -4247/2 - r. What is the common denominator of p and 17/2?
2
Let b = 31 + -23. What is the least common multiple of b and 27?
216
Suppose 2*s = -s - 180. Suppose -8*b = -10*b - 40. Calculate the common denominator of 63/4 and (b/6)/(88/s).
44
Suppose -3*g - 2*h = -g - 108, 5*h + 234 = 4*g. Suppose 6*m + m = g. What is the smallest common multiple of