48
Suppose -4*g - 2*x + 110 = 0, -17 = -g - x - 3*x. Let i = 119 - g. Calculate the common denominator of ((-302)/i)/(16/24) and 5/24.
120
Find the common denominator of -69/730 and 5 - (((-9370347)/(-39420))/53 + 8/18).
1460
Let d(a) = 13*a**2 + 122*a - 1245. What is the least common multiple of 3628 and d(-32)?
32652
Let l be 3/15 + 814/55. What is the smallest common multiple of 38 and (-138)/(-18) - l/9?
114
Let v be (25/(-8))/5*(-33)/9185. Let a = v - -33319/36072. Calculate the common denominator of a and 43/27.
27
Calculate the least common multiple of 21/(-14) - (-11)/2 and 176.
176
Find the common denominator of (-54570)/(-1428)*(-1)/225 and 85/8.
2520
Calculate the common denominator of 4407/340 + (-1092)/84 and -99/544.
2720
Suppose -15*f = -3*q - 18*f + 99, -2*f + 100 = 3*q. Let j = 77 + -31. Let z = j - q. Find the common denominator of z and 7/3.
3
Suppose 16*x + 387 = -109. Calculate the common denominator of (0 - x/3)*783/1914 and -3 - (-4 + 268/32).
88
What is the smallest common multiple of 70*((-1790)/(-70) - 5) and 1008?
10080
Let l(c) = -c**3 + 8*c**2 - c - 2. Let w be l(8). Let s(k) = -8*k - 58. What is the lowest common multiple of 42 and s(w)?
462
Suppose 6*x - 87 = 3*x. Let m = x - 9. Suppose 2*t - 3*k + 408 - 404 = 0, -3*k = -3*t. Calculate the least common multiple of t and m.
20
Suppose 11 + 37 = 6*s. Suppose 563 = 6*l + 17. Calculate the lowest common multiple of s and l.
728
Find the common denominator of -133/6 and (15 - 3 - 4) + (-119984)/14912.
2796
Let k = 31905209/242 + -131840. Calculate the common denominator of 57/242 and k.
242
Let l be (-6)/(-18) - (2 - 138/(-9)). Let k = 0 - l. What is the smallest common multiple of (-8)/2 + (-36)/(-6) and k?
34
Suppose -5*j + 40 = 4*g, 5*j + g - 8 = 17. Suppose 2*b + 22 = j*b. What is the least common multiple of 56 and b?
616
Suppose 4*y = -4*a - 36, 5*a - 8*a - y - 33 = 0. Calculate the common denominator of (-3)/a + (-585)/(-228) and -107/6.
114
Let r(h) be the first derivative of -h**3/3 - 9*h**2 - 6*h - 12. Let u be r(-13). Let x = -55 + u. Calculate the least common multiple of 20 and x.
20
Let s = 97 - 127. Let i = s - -38. What is the least common multiple of i and 12?
24
Let b = 3383/114 - 92/19. Suppose 24*i = 8*i - 480304. Find the common denominator of b and 5/1 - (-4 + i/(-3256)).
888
Let u(z) = -23*z - 88. Let j = -8 + 22. Calculate the lowest common multiple of (-2)/j - 513/(-63) and u(-4).
8
Let i = 79851225151/1810 - 44116705. Let a = 22/181 + i. What is the common denominator of ((-36)/48)/(14/52) and a?
70
Let d(k) = 572*k**3 - 2*k + 1. Let n be d(1). Suppose 129 = -l + 3*q, q - n = -3*l + 7*l. What is the smallest common multiple of l/(-15) + 6/(-10) and 9?
9
Let v be ((-1813)/(-330))/((-37)/(-3) - 13). Let r = 100/11 + v. What is the common denominator of r and -133/18?
180
Let x = -11808 - -11952. What is the lowest common multiple of x and 438?
10512
Let y = -17612242001/499290 + 23861/9078. Let c = -35273 - y. Find the common denominator of c and -69/35.
385
Let w(k) = -k**2 - 11*k - 14. Let x(y) = y - 47 - 60 - 2*y + 91. Let o be x(-7). What is the least common multiple of 4 and w(o)?
4
Let i(h) = 5*h - 4. Let g be i(2). Let c = -2 + g. Suppose -d + 86 = 4*x, -d = 3*x - 65 - 20. Calculate the least common multiple of c and d.
164
What is the common denominator of ((-254)/15)/((-4)/46 - 1258538/(-6095)) and 89/430?
7740
Let r = 2549/1182 + 2/197. Suppose 5*o + 932 = -1873. What is the common denominator of o/(-34)*(-11)/30 and r?
60
Let c be 552/9*54/24. Suppose -5*h - 73 = 3*k, 2*h = k + 4*k + 70. Calculate the common denominator of (6/1 + -15)*k/c and -19/3.
69
Let o(h) be the third derivative of 43*h**4/12 - 24*h**3 - 53*h**2. What is the smallest common multiple of o(5) and 18?
2574
Let s = -473135/22 - -21508. What is the common denominator of -107/22080 and s?
242880
What is the common denominator of -19/9 and 18/(7846200/764985) - (2 - 2/8)?
65385
Suppose -2*m + 10 = -m. Let a be -1 + 45/42 + (-1266)/84. Calculate the smallest common multiple of 64/(-160)*1*a and m.
30
Suppose 48 = 8*u - 2*u. Suppose -4*k = -5*t + 84, 121 = 5*t - 3*k + 33. What is the lowest common multiple of u and t?
40
Find the common denominator of 77/10726 and 4 + (-1407)/126 + 1.
32178
What is the common denominator of (170867/(-6120))/23 - 2/(-9) and -29/560?
1680
Let v = 1486461/224 + -6636. Let o = v + 5267/224. Let x = -54585/2 + 27343. What is the common denominator of o and x?
2
Let p = -974 + 535. Let u = -425 - p. Calculate the least common multiple of u and 404.
2828
Let z = 3504106/109 - 32148. Calculate the common denominator of z and 46/19.
2071
Let q = 118949/264 - 4920/11. Let j = 277 + -909. Let b = -13268/21 - j. Find the common denominator of b and q.
168
Suppose -r + 13 + 103 = -164. What is the smallest common multiple of r and 120?
840
Let a(b) = -9*b**2 + 5 - 1 + 8*b - 14*b**2 + 6*b**2. Let y be a(-2). Let h = 175/2 + y. Calculate the common denominator of -75/4 and h.
4
Suppose 2*b + 3*b = 90. Suppose -3*j - 2*z + 68 = 0, -3*j + 37*z = 42*z - 107. Calculate the smallest common multiple of b and j.
126
Suppose 0 = 10*k - 1712 + 1592. Let f = 0 - 0. Suppose f = 2*j + 40 - 244. Calculate the lowest common multiple of j and k.
204
Let c be (-12 + 75)*680/28. What is the common denominator of (17/c)/((-1)/169) and 65/99?
990
Suppose 77775 = -108*a + 169*a. What is the least common multiple of a and 525?
8925
Calculate the common denominator of (-34)/110*(-97 + 94)/(-1 + 2) and -16/1435.
15785
Suppose 22 - 206 = -46*z. What is the lowest common multiple of 134 and z?
268
Let j(y) = y**2 - 14*y - 30. Let i = 13 - 10. Calculate the smallest common multiple of j(-3) and i + -1 - 25/(-1).
189
Suppose -17*t + 89 = 2*t - 329. What is the least common multiple of t and 2431?
4862
Suppose -229 - 1367 = -4*d. Let f = -1202/3 + d. Find the common denominator of 34/83 and f.
249
Let r = 313267 - 141596743/452. What is the common denominator of -67/4 and r?
452
Let j = 18397 + -18385. What is the least common multiple of j and 48?
48
Let j(m) = m**2 - m + 36. Let l be j(22). Let u = l - 444. Calculate the least common multiple of 30 and u.
270
Let y = -24 + 34. Let w be 2/y - (-1883)/35. Suppose w = 3*b + 3*b. What is the least common multiple of 7 and b?
63
Let o = 3742/3 - 209369/168. What is the common denominator of -1/406 and o?
1624
Let t(n) = 10*n - 10. Let b be t(3). Suppose -14*y = -b*y - 150. Calculate the common denominator of -89/8 and (6/y)/(40/(-450)).
40
Let q = 658538/81 + -8130. Calculate the common denominator of q and -46/357.
9639
Let a = 15 + 1. Suppose 2*b - a = -0*b. Suppose 1740*c - 200*c + 654 - 14957 = 4177. What is the lowest common multiple of c and b?
24
Let c be -34 - (-3 + 1 + 8). Find the common denominator of (-64)/c + (-772)/120 and 57/20.
60
Let d(z) = 4*z**3 - 33*z**2 + 68*z - 57. What is the lowest common multiple of 48 and d(7)?
1392
Suppose -594 = 4*w - 4690. Let f = w + -3104/3. What is the common denominator of -95/16 and f?
48
Let f = 20812 + -17265. What is the lowest common multiple of f and 4?
14188
Let t = 2/1509 + -67919/10563. Let q = -59615/526061 - 4/6659. Find the common denominator of q and t.
553
Let v = 1245/14 - 86969/966. Calculate the common denominator of v and 85/46.
138
Let h = 171400552 + -277668874031/1620. Let s = h + 44/405. Calculate the common denominator of 20/21 and s.
84
Let l = 69505 + -53727374/773. Calculate the common denominator of l and -8/11.
8503
Let q(h) = -h**3 - 22*h**2 + 25*h - 14. Let p be q(-23). What is the least common multiple of (156/p)/((-2)/30) and 24?
312
Let w be ((-2)/(-13))/1 + 86/(-559). Suppose 7 = y + 2*g - 3, -5*y + 3*g + 50 = w. Calculate the smallest common multiple of y and 54.
270
Let u = 14/2199 - 33511/5864. Let t = -47839/12648 - -39/527. Find the common denominator of t and u.
24
Let i(k) = 2*k**2 + 8*k + 6. Let q be i(-2). What is the common denominator of 1337/(-630) - (-2)/9 and q - (-34)/14 - 8154/504?
20
Suppose -4*f - 23 = -231. Let w = f + -28. Suppose -2*a + 5 = -49. Calculate the lowest common multiple of a and w.
216
Let t = 13631/105 + -641/5. Find the common denominator of t and (213/155)/((-8)/(-20)) + (-196)/(-3038).
42
Suppose 1770 = -68*