common denominator of v and -5/42.
22806
Let t be 1/(-2) + 35299/1254. Let v = t + -196/19. What is the common denominator of v and 31/3*((-287)/147 - -2)?
63
Let x be ((436/3)/(-2))/((-6)/18). Suppose 2*q - x = -4*n, -9*q = -5*n - 10*q + 271. Calculate the least common multiple of 96 and n.
864
Suppose -3*o = 5*k - 2*o - 126, o = -4. Let r be -4*(-1*3 - 66/(-24)). What is the smallest common multiple of k and (-3 + 35/21)*(r + -7)?
104
Let y = -11178 + 12774. What is the least common multiple of 20 and y?
7980
Let l = -29111/6 - -9737/2. Calculate the common denominator of l and -14/481.
1443
Let q be (-12)/(-60) - -2681*18/10. Let z = 168939/35 - q. Calculate the common denominator of -61/10 and z.
70
Calculate the common denominator of 31/160 and 74046/(-4428)*2/28.
1440
Suppose -4*d - 2 = 2*n, 3*d + 10 + 11 = 5*n. Suppose l - 3*q = 999, 5*l = n*l - 4*q + 1948. Let a = l - 5863/6. Find the common denominator of a and 85/21.
42
Suppose -33*k + 2548 = 19*k. What is the least common multiple of 1036 and k?
7252
Calculate the least common multiple of 721 and 6 + 94 - 12/(-8)*2.
721
Let i(d) = 6*d**2 - 2*d - 88. What is the lowest common multiple of 216 and i(-5)?
216
Let z = -1/17944 - -1041001/4468056. What is the common denominator of z and 67/830?
2490
Suppose g - 49 - 44 = 0. Let z(p) = 26*p + 107. Let f be z(-4). Suppose 11 = -2*a + x - 4*x, 3*x = f*a - 21. Calculate the smallest common multiple of a and g.
186
Let z = 51253 + -51193. Suppose 3*m + 36 - 186 = 0. Calculate the least common multiple of m and z.
300
Let z = -15043/3 + 526537/105. Find the common denominator of z and (-4 + 176/40)/((-2)/150).
105
Suppose -756 = 13*v - 15*v. Let m = 323 - 5797/18. What is the common denominator of m and (24/56)/(-4*(-15)/v)?
90
Calculate the lowest common multiple of 416 and (2 - (-48)/(-21))*-168.
1248
Let o be (1636314/15)/(2982/355). Let h = -16092 + 3108. Let n = h + o. Find the common denominator of 64/15 and n.
105
Suppose -43 = 4*b + 5*p, -b - 9*p + 6*p = 9. What is the lowest common multiple of 30 and (8 - 114/b)/(2/4)?
210
Suppose -1 = -2*q + 3*a, -q - 2*q = 4*a - 44. Suppose q*d = 133 + 1003. Calculate the lowest common multiple of d and 9.
1278
Let t be (-1163388)/(-84)*(-21)/(-30). Let r = t + -9705. Find the common denominator of r and -71/48.
240
Let k(t) = -3*t**3 - t**2 + t + 116. Let l be k(0). Find the common denominator of 7/10 and (-46)/(-24)*(-87)/l.
80
Suppose 10*u - 183 + 63 = 0. Calculate the lowest common multiple of 2402 and u.
14412
Let f be ((-11)/(-1) - 5) + -5. Calculate the common denominator of 1112/(-440) + 1 + 1 + f and -9/25.
275
Let p = 1543/70 - 634/35. Calculate the common denominator of p and (2/(-100))/(1/106).
350
Let g = 8315/12 + -691. Suppose -4*f + 0*o + 16 = -3*o, 0 = -f + 5*o + 4. Find the common denominator of (-3 + f/(-10))/8 and g.
120
Suppose -3*n + 4*m - 146 = 0, -n + 2*m - 54 = -4. Suppose 5*w - 39 = -4. What is the least common multiple of 2/(-8)*(n + 2/1) and w?
77
Let g = 435/11 + -2141/33. Let b = -721/30 - g. Let i = -1637/2 - -10668/13. What is the common denominator of b and i?
130
Suppose 101 - 726 = -5*v. Suppose -v = -87*h + 82*h. Calculate the least common multiple of h and 10.
50
Let h(i) = i**3 + 54*i**2 + 50*i + 20. Let d be h(-21). Let c = d + -811351/60. Let r = -11741/8 + 1465. Find the common denominator of c and r.
120
Let i(n) = -476*n - 3211. What is the lowest common multiple of 605 and i(-7)?
605
Let b = -22 + 25. Let u be (15 + -5)*b*4/30. Calculate the smallest common multiple of u + -4 - 4/(-2) and 4.
4
Suppose 411 = 102*n - 813. Let l = -10 + 16. What is the smallest common multiple of l and n?
12
Let k = -8622 + 9758. What is the lowest common multiple of 16 and k?
1136
Suppose 3*v + 3*n - 58 = 2, 3*n + 12 = 0. Calculate the smallest common multiple of 35/(-70) + 13/2 and v.
24
Suppose 2*o - 2*a = -8, 12 = -7*o + 3*o + 2*a. What is the common denominator of -31/24 and 9/48*6*o/6?
24
Let x = 3884 - 3761. What is the lowest common multiple of x and 82?
246
Let r be 1021418/234 - (-71)/923. Let h be 2186/5*(11 - 1). Let o = h - r. Calculate the common denominator of o and -145/18.
18
Let a(o) = -o**2 + 14*o + 19. Let z be a(15). Let q = 22 - z. What is the lowest common multiple of (-5 - -5) + 54/2 and q?
54
Let n be 9/(-6) + (-1324)/(-728). Let m = n - 9249/182. Let i = -2819/11 + 258. Find the common denominator of m and i.
22
Let g = 29 + -25. Suppose 2*d = g + 182. Suppose -2*h + y = 4*y - d, 2*h = -4*y + 88. What is the least common multiple of h and 4?
108
Let w(h) = 3*h**3 - 5*h**2 - 6*h + 15. Let z = -31 + 34. Calculate the smallest common multiple of 54 and w(z).
594
Let h(c) = -c - 13. Let f be h(-19). Suppose -10 = -2*a + f. Let b(y) = -2*y**2 + 20*y - 6. What is the lowest common multiple of 2 and b(a)?
26
Let g(m) = 34*m + 212. Let y be g(-15). What is the common denominator of 43/10 and (138/6210)/(4/y)?
90
Suppose -8*m - 95 = -4*p - 3*m, 5*p - 109 = 3*m. Let a = -17 + p. Suppose 582 - 99 = 20*b - 57. What is the smallest common multiple of b and a?
27
Let s(m) = m - 1. Let i(l) = 2*l + 20. Let u be i(-4). Let a be s(u). Let n = a + -2. Calculate the lowest common multiple of n and 22.
198
Let z = 3392 - 3380. What is the least common multiple of z and 36?
36
Let d = 32 - 57. Let i = 43 + d. Find the common denominator of (-4)/6*147/i and 68/3.
9
Let r = -246559/36 + 6848. Calculate the common denominator of 318/(-265)*(-18)/8 and r.
180
Suppose -46*k + 904 = 260. Let u(t) = 4*t**2 + 16 - 3*t**2 + 0*t - 4*t + t**3 + 5*t. What is the least common multiple of k and u(0)?
112
Suppose 9*c - 23 = -2*o + 6*c, -2*o + 5*c - 17 = 0. Let t(f) = 2*f**2 + 105*f + 159. What is the smallest common multiple of o and t(-51)?
12
Let g(d) = -3*d**3 - 6*d**2 + d - 1. Let m be g(-3). Let n be (0 + 0)/(69/m). Suppose -7*s = -n*s - 28. What is the smallest common multiple of 24 and s?
24
Let y = 382247 - 571459243/1495. What is the common denominator of y and 19/6?
8970
Let v be (-280)/12*45/3. Calculate the common denominator of v/55 - (-1 - 3) and ((-208)/42)/(6/(-7)).
99
Suppose 12*s + 6985 = 64105. Calculate the least common multiple of 112 and s.
9520
Let m = 12065 - 217249/18. Calculate the common denominator of m and (-54)/24 + 6 + 1805/(-300).
90
Let q = 598 - 5366/9. Let p = -64 + -256. Let w = 934/3 + p. What is the common denominator of w and q?
9
Let u(b) = -b**3 - 7*b**2 - b + 2. Let v be u(-7). Suppose v = -5*m + 8*m. What is the lowest common multiple of 20 and (-9)/(-6) - m/(-6)?
20
Let c = -5 + -1. Let s = 43 - 29. Calculate the least common multiple of s and (24/20)/(c/(-40)).
56
Let p = 6647 - 6381. What is the smallest common multiple of p and 114?
798
Let z(w) be the first derivative of 7*w**2/2 - 48*w + 33. Let p be z(6). Calculate the common denominator of 0 + (3/(-24)*34)/p and -93/40.
120
Suppose 3*u - 16 = 5*x, -2*u + 2 = -3*u - 2*x. Calculate the least common multiple of 21/9*17514/147 and u.
278
Let s = 9969/3850 - -48/175. Let v = -32624 - -1827005/56. What is the common denominator of s and v?
616
Suppose -29*f - 4 = -33*f, 0 = -5*p + 3*f + 17. Suppose i = -4*b - 74 - 107, -p*b + 4*i = 156. Find the common denominator of -50/33 and b.
33
Suppose 2*a - w + 34 = 5*a, -5*w - 10 = -3*a. Let f be (a/15 + (-49)/6)*-20. What is the smallest common multiple of ((-3)/5*2)/((-9)/f) and 12?
60
Let u = -4262/5 - -102563/120. Let v = 2125273/72 + -29517. Find the common denominator of u and v.
72
Suppose -2*q - 19 = -63. Let v = 32 - q. Let x = -4 + v. Calculate the lowest common multiple of 21 and x.
42
Suppose -8*q + 71 = -577. Suppose -135 = -18*d + q. Calculate the smallest common multiple of 60 and d.
60
Let m = 16/235 - -6719/1410. Find the common denominator of 46/(-10)*25/90 and m.
18
Suppose 5*t = -y - 18 - 4, 0 = 4*y + 5*t + 13. Let c = 14/345 + -2333/1380. Calculate the common denominator of (1*y/(-144))/((-15)/(-2490)) and c.
120
What is the lowest common multiple of (((-240)/(-9))/4)/((-25)/(-90)) and 88?
264
Let v be (6/12)/(292/(-96) - -3). Let b(t) = -2*t**2 - 24*t + 28. What is the least common multiple of 4 and b(v)?
28
Let m = 1673 - 1627. Calculate the lowest common multiple of 92 and m.
92
Let y = -4376/79 + 2275345/41238. What is th