pose -16 = 2*c + 2*u + 6, 0 = -2*c - 3*u - 19. What is the common denominator of (2 + -5)/12 - 63/c and 45/26?
52
Let f be (-20)/(-14)*175/50. Suppose -f*z - 14 = -24. Suppose -4*m = -2*v - 12, -z*v - 3*v - 10 = 0. Calculate the least common multiple of 32 and m.
32
Let d be (-4)/(-8)*(-8184)/(-11). Calculate the lowest common multiple of ((-3)/(-1))/((-3)/(-4)) and 275/13 - (d/52 + -7).
84
Suppose 0 = -84*w - 133*w - 1426 + 149420. Calculate the smallest common multiple of w and 220.
6820
Let q(r) = r**3 + 13*r**2 + 22*r - 10. Let b be q(-11). Calculate the common denominator of 58/27 and (-9)/(-21) + (2860/357)/b.
459
Let i be (83 + 7)/(-3)*3/6. Let q(y) = 4*y**2 + 55*y + 23. Calculate the least common multiple of q(i) and 40.
1960
Let g be (10 + (-2)/1)/(1/45). What is the common denominator of (378/g)/((-12)/(-70)) and 51/16?
16
Let k = 72298661/1296 + -55786. Calculate the common denominator of k and 11/27.
1296
Suppose 0 = -0*j + j - 11. Let l(z) = -15*z - 234. Let k(a) = -17*a - 235. Let u(m) = 3*k(m) - 4*l(m). What is the least common multiple of j and u(-25)?
66
Let w = -193068 + 53286859/276. Calculate the common denominator of 59/414 and w.
828
Let a(x) = -x**3 + 13*x**2 + 143*x - 1437. What is the least common multiple of 84 and a(11)?
756
Let i(q) = 2*q**3 - 270*q**2 - 3508*q + 129. What is the lowest common multiple of i(147) and 279?
3069
Let z(x) be the first derivative of -x**4/4 + 10*x**3/3 + 3*x**2 - 18*x + 164. Let p = 6 + 4. Calculate the smallest common multiple of 12 and z(p).
84
Let k(c) = c**2 - 23*c + 161. Let d be k(30). Suppose -370*l - 16 = -d*l. What is the lowest common multiple of l and 56?
112
Let i(b) = -6*b**3 - 42*b**2 - 20*b - 98. Calculate the lowest common multiple of 742 and i(-7).
2226
Suppose 81*o - 72*o - 288 = 0. Suppose -o*c = -3*c - 1392. What is the lowest common multiple of c and 72?
144
Let d(t) = t - 21. Let f be d(13). Let o(x) = -1. Let l(i) = -4*i - 18. Let g(p) = f*o(p) + l(p). What is the smallest common multiple of g(-6) and 20?
140
Let k = -4361/91349 + 185247184/5252293453. Let c = -552046727/26218632 + k. Let b = c - -466/19. Calculate the common denominator of -97/24 and b.
24
Let q(z) = -3*z**2 - 8*z - 41. Let o(p) = -5*p**2 - 10*p - 42. Let n(d) = 2*o(d) - 3*q(d). What is the lowest common multiple of 6 and n(-4)?
42
Let t = -43 + 280. Let q = t + -231. What is the least common multiple of 6 and q?
6
Let f be ((-30)/21)/(8/(-28)). Let c = 11 - 9. Suppose c*o + o - 2*b = 29, f*b - 43 = -3*o. What is the lowest common multiple of o and 8?
88
Let g = 882047/45 - 19602. Let j = 46146 + -1845743/40. What is the common denominator of g and j?
360
Calculate the lowest common multiple of 221 + (0 + -7)/7 and 120.
1320
Let c(q) = -4*q - 24. Let r be c(-6). Suppose r = 5*l - l + 24. Find the common denominator of (1*150/9)/l and -19/12.
36
Suppose 2*i - 47 + 3 = 0. Calculate the lowest common multiple of ((-395)/4)/(-5) - 18/(-72) and i.
220
Let g(w) = -2*w**2 - w - 6 - 16*w + 5*w**2 + 2. Calculate the lowest common multiple of 72 and g(6).
72
Let k = 4/29113575 + 88146198583/14498560350. Let l = k + -168/83. Calculate the common denominator of l and 16/33.
198
Let s = -101691/14 + 7256. Let m = 287929 - 88106197/306. Calculate the common denominator of m and s.
2142
Suppose -4*d + y - 5775 = 0, -2*d + 0*d - 2885 = -y. Let f = 14429/10 + d. What is the common denominator of -19/5 and f?
10
Let i(v) = -v**3 - 7*v**2 - 11*v. Calculate the least common multiple of 22 and i(-6).
330
Suppose -24*z + 203 = 83. What is the least common multiple of 40 and z?
40
Suppose 1 = -2*b + 9. Suppose 28 - 20 = -b*r. Calculate the least common multiple of 10 and 0/r + 10 + (-7 - -5).
40
Let r = 345 + -348. Calculate the smallest common multiple of (-23 - -16) + (-57)/r and 6.
12
Suppose 0 = -4*r - 5*u + 91, -2*r = -0*r + 4*u - 44. Let x(a) = 3*a**2 - 159. What is the least common multiple of r and x(8)?
264
Suppose 3*c + 0 = 24. Let r = -13578 - -13592. Calculate the smallest common multiple of c and r.
56
Let v = 843 + -521. Suppose -4*k = -h + v, -3*k = -3*h + 1119 - 189. Let f = 11 - 3. Calculate the lowest common multiple of h and f.
1224
Let a be (16/54)/((-380)/48810). Let m = a - -392243/8892. Let s = 74/13 - m. Find the common denominator of s and -45/4.
36
Let m = -10 + 24. Let z = -3637 - -3687. What is the lowest common multiple of m and z?
350
Let i = 25 + -23. Let v be 2/6 + (22/3)/i. Calculate the common denominator of -65/3 and ((-1)/(-2))/(556/(-96) + v).
129
Let b = 6521 + -65289/10. What is the common denominator of b and 120/(-34)*238/476?
170
Let s = 264/23 - 4313/506. Calculate the common denominator of 807/680 - (-4)/(-10) and s.
1496
Let p be ((-126)/33 - 18/99) + 93. Let w = p + -74. Calculate the least common multiple of w and 40.
120
Let k = -1247451284253/1900 + 656553266. Let g = -3/1900 - k. Let s = 371173/76 - 4884. What is the common denominator of s and g?
76
Find the common denominator of -10 - ((-184)/(-50))/((-21402)/58435) and 121/2050.
18450
Let b = -2519 + 60451/24. Calculate the common denominator of ((-6)/224)/(3/26) and b.
168
Let z = -477 + 852. Let q = z + -237. Suppose 2*u - 12 = -d, 3*u - 5*d = -0*u + 44. Calculate the least common multiple of u and q.
552
Let p = -322630 + 90981761/282. Find the common denominator of -21/376 and p.
1128
Suppose -5 = -z + 2*z. Find the common denominator of (-2)/2 + 5/18 and 5/10*17*z.
18
Let j = -13426399/31058880 + -1/323530. What is the common denominator of 37/147 and j?
9408
Find the common denominator of 4/(88/(-83))*(-4)/(-18) and (-2997)/(-891)*2/18.
99
Let w = -48 + 8. Let c = w - -35. What is the lowest common multiple of 40 and ((-4)/10)/(c/300)?
120
Let t = 3639 + -1911. Suppose j - t = 7*j. What is the common denominator of (-40)/(-1)*(-16)/j and -41?
9
Suppose 150 = 3*m - 5*k + 8*k, -m = -4*k - 70. Suppose -6*p + 5*p + 5*c - 9 = 0, 4*p - 2*c = m. Calculate the smallest common multiple of p and 34.
272
Let d be (-1858)/18 + -7*14/(-441). Let x = 125 + d. Suppose -w + 40 - x = 0. Calculate the least common multiple of w and 90.
90
Suppose -10*z + 6*z + 786 = -b, 4*z = 4*b + 768. Calculate the lowest common multiple of 180 and z.
1980
Calculate the common denominator of (-326)/(-332) + -2 - -1 and (7/(-42))/((-60)/14985*9).
664
Let g(a) = 2*a**2 - 7*a. Let c be g(4). Suppose 2*j + 3*s = 10, 6*j - s - 10 = c*j. Find the common denominator of -17/9 and 25/(-35)*j/(-3).
63
Let p = -11 + 10. Let x be ((3 + 94)*p)/(-1) + -4. Let d = -42 + x. What is the least common multiple of d and 24?
408
Let v = 6955/3552 + 25/1184. Calculate the common denominator of v and 121/18.
144
Suppose 0 = -17*o + 1666 - 425. What is the least common multiple of 73 and o?
73
Let i be 285/114 - -13*1/2. Suppose i*o - 7 = 146. What is the smallest common multiple of o and 3?
51
Let s = 5511 + -5484. Let b(h) be the third derivative of -h**5/60 - h**4/24 + 3*h**3 + h**2. What is the smallest common multiple of s and b(0)?
54
Let i be 2243621/35*5/123706. Let z = i + -2/39361. Calculate the common denominator of (1/(-3))/(8/2856)*2/(-12) and z.
66
Let f = 3510 - 98247/28. Suppose -978 - 1431 = d + 2*g, 5*g = -2*d - 4814. Let o = -19403/8 - d. What is the common denominator of o and f?
56
Let t(k) = 5*k**2 + 28*k - 51. Let q be t(-17). Find the common denominator of q/168*2/3 and -19/24.
168
Let l = -3023/3714 + -12/619. Calculate the common denominator of 46/3813 and l.
7626
Suppose 25*x + 368 = 68. Let t = x - -27. Calculate the lowest common multiple of t and 12.
60
Find the common denominator of ((-18513)/(-2790))/(-17) + 6/(-15) and -31/17.
1054
Suppose j + 2 = -k, -18 = -5*k + j - 4. Let c be k/10 + (-1229)/120. Let f = 7/8 + c. Calculate the common denominator of -11/14 and f.
42
Let i(n) = -19*n + 1. Let u be i(1). Let k = -2/1461 - 21869/33603. Calculate the common denominator of 4/u + 55/(-9) and k.
69
Let i = -1/21629 - 670165/7224086. Calculate the common denominator of 380/(-120) - (15 - 5/(20/16)) and i.
1002
Calculate the common denominator of 3/(585/(-274)) - (2128/(-84))/38 and 9/1898.
9490
Let p = -1/11131 + 89333/3172335. Find the common denominator of -131/114 and p.
570
Let v = -103349444 + 4547585993/44. Let r = 4784 - v. What 