10.
60
Let s = 21589/10 + -2151. Let t be 5/66650*-626534*(-1)/6. Let h = t - 2/6665. Calculate the common denominator of h and s.
30
What is the common denominator of 103/6 and (-14)/328*888/(-140)?
1230
Suppose -2*v = -4*c + 80, 0 = -115*c + 113*c - v + 36. What is the smallest common multiple of c and 209?
209
Let h = 917 - 603. What is the least common multiple of h and 16?
2512
Find the common denominator of 31/12 and (0 - 2)*(7039228/(-391104) - -18).
6984
Suppose -3*m + 64 = 5*c, 5*c = -4*m + 6*c + 116. Let p = -23 + m. Calculate the smallest common multiple of p and 14.
70
Let r be (-4041)/(-30) + 15/50. Suppose -25*t - 60 + r = 0. Let a(j) = -9*j - 3. What is the lowest common multiple of a(-2) and t?
15
Let n = 13 + -1. Let x(d) be the third derivative of 5*d**4/24 - 26*d**3/3 - 24*d**2. Calculate the smallest common multiple of x(14) and n.
36
Calculate the common denominator of 32/7 and ((-72)/(-42) + -5)*-1 - 0.
7
Let q = 193875847/450 - 430835. Find the common denominator of q and 41/27.
1350
Suppose -2*j - 2*m + 2 = 0, 13 = 5*j + 5*m - 4*m. Let l(z) = 10*z + 8*z**2 - 2*z + 2*z**3 - j*z + 3. Calculate the smallest common multiple of 21 and l(-3).
42
Suppose 229 = 2*t - 3*d, -2*t - 15*d = -12*d - 223. Let w = t + -80. What is the least common multiple of (1 - -27) + (-1)/1 and w?
297
Let k = 465 + -473. What is the least common multiple of 102 and 114/(-152) + (-54)/k?
102
Let c be (-1001)/(-5) + 39/(-195). Calculate the common denominator of (29 + -3)*(-45)/c and 2/3*(-122)/(-16).
60
What is the common denominator of ((-9)/(-15))/(1553693/1185) and 41/11?
216337
Let y be (13 - 8/1) + -1. Suppose 10*d = 9*d + 5*g + 26, -2*d + y*g + 28 = 0. What is the lowest common multiple of d and (-8)/((-1)/3*1)?
24
Suppose 63 = 8*q + 15. What is the lowest common multiple of 10 and (-12 - q/(-3))*-10?
100
Suppose 5 = 6*l - 13. Suppose 3*v - 58 = -v - 5*g, -l*g - 42 = -4*v. What is the smallest common multiple of 24 and v?
24
Find the common denominator of 113/1770 and 96702/(-106200) + 1 + 13/(-156).
8850
Let v = -17553 + 17943. What is the least common multiple of v and 780?
780
Let f(s) = 279 - 206 + 32*s - 35*s**2 - s**3 + 2*s**3. Suppose 0 = 5*x - 10*x + 185. Calculate the least common multiple of x and f(34).
185
Let z = 2498010 + -19874167715/7956. What is the common denominator of 37/96 and z?
63648
Let n(b) = 2*b**2 - 12*b - 6. Let q be n(7). Suppose q*u - 54 + 22 = 0. Calculate the smallest common multiple of u and 1464.
1464
Let r = -70854 + 8502407/120. What is the common denominator of -89/12 and r?
120
Let k = 5330081/389 + -13702. Let d = 1442101338 + -8414661270619/5835. Let o = d - k. Find the common denominator of o and 58/33.
165
Let d = -170 - -775. Let b = -551 + d. Calculate the least common multiple of b and 54.
54
Suppose x + 4*z - 21 = 0, -10*x + 5*z + 29 = -8*x. Suppose x - 53 = -12*w. Calculate the smallest common multiple of 35 and w.
105
Let l = -5186/651 - 43/93. Suppose -5*n - 25 = 0, 6*n - 833 = q + 2*n. Let m = 4997/6 + q. Calculate the common denominator of l and m.
42
Let u(o) = -o - 1. Let b(m) = -m**2 + 11*m + 33. Let n(g) = -b(g) - 3*u(g). What is the lowest common multiple of n(13) and 7?
35
Let d = -1070571223/2128 - -503088. What is the common denominator of d and -25/2432?
17024
Calculate the common denominator of (-6*(-3)/294)/((-190)/(-114)) and 27/154.
5390
Let k = 17/627 + 67901/16302. Find the common denominator of k and 47/13.
26
Find the common denominator of ((-2)/15 - 7161/2790)/24 and 43/740.
2960
Suppose 411*n + 312 = 424*n. Calculate the least common multiple of n and 582.
2328
Let d = 809306 + -5263726195/6504. What is the common denominator of d and -57/20?
32520
Let w = 79 + -31. Let v = w - 49. Calculate the common denominator of v*(-1)/((-18)/(-22)) and -17/11.
99
Suppose 0 = 5*b - 5*k - 15, 4*k = -4*b - k + 3. Let h(i) = 5*i + 2*i - 2 + 2*i**b + 2*i**2 - 9*i. Calculate the least common multiple of 6 and h(-1).
12
Let n(t) = 23*t + 519. Calculate the least common multiple of 28 and n(19).
6692
Let i be (104/(-29964))/((-4)/(-4647)). Let r = i - 3/227. What is the common denominator of -103/120 and r?
1320
Suppose -320 = -771*t + 763*t. Calculate the smallest common multiple of t and 136.
680
Let z = 20 + 3. Let m = 34 - z. What is the common denominator of -43/7 and (0 - 78/m) + 3?
77
Let z be ((-1)/(-4))/((-189)/(-180) + -1). Calculate the smallest common multiple of ((-89)/z + 1)/(520/(-1300)) and 63.
126
Suppose -4*h - 5 + 16 = x, -5*x + 2*h + 121 = 0. Calculate the smallest common multiple of 4 and x.
92
Let t = -4252692/7 - -605610. Let k = t - -1915. Let c = -1908 - -3745/2. What is the common denominator of k and c?
14
Let a = -34 + 161. Let x = 133 - a. What is the least common multiple of 6 and x?
6
Let p(d) = -d**3 - 9*d**2 + 4. Let s be p(-9). Let c = 28 - s. What is the smallest common multiple of 108/c*(-8)/(-3) and 18?
36
Let l be (-6)/(-28)*324815/(-10275). Let o = l + -8/685. Find the common denominator of 95/12 and o.
84
Suppose -4*m + 9 = -i - 2, 2*m - 19 = 5*i. Let x be -4 - (6/i + -23). What is the common denominator of ((-30)/x - 1)/((-52)/65) and 9/16?
112
Let v be (-2 + 2)/(-6 + 2). Suppose 3*a + 4*y - 64 - 22 = v, 2*y + 100 = 5*a. Calculate the common denominator of a/(-44)*14/(-11) and -26/11.
11
Find the common denominator of (7/(896/(-248)))/((-6)/(-4)) and 3 + 1 - ((-120)/56 - -3).
168
Calculate the common denominator of (-292)/(-20)*45/234 and (2 + 36/(-15))/(584/(-1679)).
260
Calculate the least common multiple of 30 and 7/((-350)/(-5)) - (-40678)/20.
10170
Let t = 8013 + -56665/8. Let p = -922 + t. Calculate the common denominator of p and 10*(-3)/(-16)*(-30)/(-18).
8
Let z = 9706077/34 - 285470. Find the common denominator of z and (-1)/(0 - (-34)/86).
34
Let l be ((-10)/(-6))/(1 + (-6)/9). What is the least common multiple of (4 + (-22)/l)/(2/(-30)) and ((-9)/(-6))/(3/32)?
48
Let a = 196897/12 + -16415. Calculate the common denominator of a and -13/1440.
1440
Let s = -78215/4 - -39127/2. Calculate the common denominator of s and 281/182 - (-1 - -2).
364
Suppose -4*h - 1296 + 5632 = 0. Let g = 27113/25 - h. Calculate the common denominator of g and (-113)/15*9/6.
50
Let m(q) = -2*q**3 + 11*q**2 - 4*q + 3. Let t(c) = -c**3 - 1. Let x(a) = -m(a) + t(a). What is the lowest common multiple of ((-3)/(-2))/(3/80) and x(11)?
40
Let n = 12/53 + -263/2332. What is the common denominator of -3/4 and n?
44
Let l be -154689*(-1)/(-3)*1. Let t = -9435995/183 - l. Calculate the common denominator of t and -127/6.
366
Let l = -2641322/116529 - 2/116529. What is the common denominator of l and (-14)/24*32/3?
9
Let r = -449 - -469. Find the common denominator of 29/80 and 4/132*258/r.
880
Let h = -100 - -145. Suppose 4*n + y + 39 = 160, 0 = 5*n + 2*y - 152. What is the lowest common multiple of h and n?
90
Suppose -t - 4 = -4*n, -5*n - 48 + 3 = 5*t. What is the common denominator of 489/180 + 4/(-6) and ((-35)/14)/(t/(-20))?
20
Let o be (32/(-64))/((-2)/(359*12)). Let g = o - 3265/3. What is the common denominator of g and 119/12?
12
Let v = -1293728437/453294 + 121/25183. Let z = v - -2858. Find the common denominator of z and 15/4.
36
Let d = -811/870 + -32/87. Calculate the common denominator of d and (13/52)/(6/117).
40
Let g be (35/7)/(-5) - -3. Suppose 0*h - 5*p + 58 = 3*h, -g*h + 4*p = -24. Calculate the smallest common multiple of 32 and h.
32
Let c(a) = -a**2 + 2*a - 19. Let m be c(0). Let u = 18 + m. Find the common denominator of (1*u)/(140/(-77)) and -23/18.
180
Suppose 56*z - 78 = 17*z. Calculate the lowest common multiple of z and 23848.
23848
Suppose 2*z + 2*z - 4*v - 436 = 0, 5*z + v - 521 = 0. Let m be (-18)/30 - (-1198)/z. Let d = m + -47/3. Calculate the common denominator of d and 39/8.
56
Find the common denominator of 80/21 and 9 + (-1495)/161 - 1/4221*-1528.
4221
Suppose -1715*n + 1701*n + 2926 = 0. What is the smallest common multiple of 171 and n?
1881
Suppose 91947 + 32667 = -14*r. Let p = r + 160169/18. What is the common denominator of p and -15/22?
198
Let j be 4/(-5) + 2 - 40/(-50). Let n be 45/(-75) - j/5. Calculate the lowest common multiple of 11 and (16/(-12))/(n/6).
88
Let r = 4061/190 + -219/10. Let q = r + 395/209. What is the com