 = -4*n + 5*t, -4*n - 8 = -2*t. Calculate the lowest common multiple of (-4 - 18)/(1/(3 + n)) and ((-576)/(-20))/((-2)/(-10)).
1584
Let h = 15/16 + -939/80. Suppose -3*y + 46 = 4*v, 0 = -2*y + 2*v + 26 + 14. Calculate the common denominator of (-123)/y*(-9 - -8) and h.
30
Let d = -89 + 93. Suppose -3*v - d = -13. Suppose 5*g = -c + 21, -3*g = -4*g + v. Calculate the smallest common multiple of 52 and c.
156
Suppose -58*i - 383 = -2239. What is the smallest common multiple of 2588 and i?
20704
Suppose 7*d + 42 = 63. Let y(k) = 2*k - 5. Let h be y(4). Suppose -h*u = d*u - 84. What is the smallest common multiple of u and 60?
420
Let h be ((-9)/54 + 11/(-6))*7. What is the common denominator of 9 + h + -2 + 138/9 and 34/25?
75
Let m(v) = -3*v**2 + 98*v + 146. Calculate the lowest common multiple of 88 and m(27).
4840
Find the common denominator of 3/2800 and (0 - 14552/14400) + 3/3.
25200
Find the common denominator of -43/360 and ((-4)/(-10) - 209/(-15))/(4080/153).
720
Let t(x) = -91*x - 94*x + 31 + 354*x - 94*x - 86*x. Let s(z) = -z**3 + 6*z**2 - 3*z - 4. Let j be s(5). Calculate the common denominator of -26/11 and t(j).
11
Let p be (24/15)/((-3)/30). Let i be p/8*45/(-2). Suppose 4*q + q = i. What is the lowest common multiple of 2 and q?
18
Let z = 266066945/1778 + -149644. Calculate the common denominator of 26/35 and z.
8890
Suppose 3*v + 39 = 45. Suppose l = -v*l + 15. Suppose u + 0 - 1 = 0, l*n = 4*u + 16. Calculate the lowest common multiple of n and 4.
4
Let b(q) = -q**2 + 13*q + 11. Let f be b(-4). Let r = -46 - f. Calculate the smallest common multiple of r and 4.
44
Let l = -130109/20 + 6501. What is the common denominator of -29/2536 and l?
12680
Let y = 530 + -529. Calculate the smallest common multiple of 929 and y.
929
Let x = 227/250 + -4399/3000. Calculate the common denominator of x and 139/60.
120
Let q = -197573/150016 - -367/293. Find the common denominator of q and -121/48.
1536
Let u be ((-1268)/10)/(4*(-3)/30). What is the lowest common multiple of 129 and 72/(-756) + u/21?
645
Let p = 241683/29877356894 - -2/393527. Let l = p + 5048735/5921916. Find the common denominator of l and -35/16.
624
Find the common denominator of 59/48 and 0 - -5 - ((-2117668)/(-8176))/53.
3504
Let z = 25/149 + -6413/5364. Let o be (77088/(-18) + -5)/((-5)/(-15)). Let v = o + 283049/22. What is the common denominator of z and v?
396
Let c = -14229 - -14243. Calculate the smallest common multiple of c and 770.
770
Suppose 0 = -19*d + 18*d - 5, c - 77 = 4*d. Suppose -2*l + 0*l - 88 = 0. Calculate the common denominator of -121/24 and (23/l)/(c/(-76)).
264
Let s = -1283/15631 + 1/2233. Calculate the common denominator of s and ((-23)/((-10465)/26))/(4/(-205)).
98
Suppose 2*b = -2*q - 6 - 10, q - 32 = 4*b. Suppose -5*f + 171 = o, -3*f - 2*f - 2*o + 172 = 0. Calculate the lowest common multiple of f and 1938/85 - b/(-10).
374
Suppose 6*m + 853 = 4*g + 3*m, -5*m = 3*g - 647. Let w = 226 - g. Let h(s) = -s**3 - 2*s**2 - s + 4. Calculate the lowest common multiple of h(-3) and w.
48
Let g(s) = -4*s - 76. Let b be g(-30). Calculate the least common multiple of 4 and b/6 - (-35)/(-105).
28
Let w = -133 + 126. Let m(h) = -6*h - 40. Calculate the lowest common multiple of m(w) and 40.
40
Let v be (-617)/(-618) + (-2)/2. Let w = -17327103 - -26770381394/1545. Let g = w - v. What is the common denominator of g and -31/3?
30
Calculate the common denominator of -89/1300 and (2 - 1) + (-15368)/4352.
10400
Let r(k) be the third derivative of k**5/60 - k**4/2 + 10*k**3 - k**2 - 65. Calculate the lowest common multiple of r(6) and 198.
792
Calculate the least common multiple of 259506/24 - (-1 - (-3)/(-12)) and 18.
97326
Let m = 3096/475 + -284/25. Let c be 208/48*(-35)/(-38). Let n = m - c. Find the common denominator of n and 50/9.
18
Calculate the common denominator of (0 - (133/21 - 6))*122/(-60) and 117/10.
90
Let m(f) = -f**3 - 33*f**2 + 68*f - 52. Let s(i) = 15*i + 3. What is the lowest common multiple of m(-35) and s(3)?
144
Let b(h) = h**2 + 1769*h - 17783. Let k be 11*(-1)/4*-4. Let r = k - 2. What is the lowest common multiple of b(10) and r?
63
Let x be (616/42)/(2/3). Let t(i) = -52 + 16 - 6*i + 26*i + i**3 - x*i**2 + 4*i**2. What is the lowest common multiple of 7 and t(17)?
105
Let s(i) = 2*i - 2. Let t be s(4). What is the smallest common multiple of 5/(25/18)*(-55)/(-33) and (-100)/(-36) - t/(-27)?
6
Let j(t) = -2*t - 3. Let r = -250 - -258. Suppose 0 = 2*b + r, -42 = -4*c + 5*b + 86. Calculate the lowest common multiple of j(-3) and c.
27
Suppose 5*s - 3*p - 851 = 4*s, 2*p - 3334 = -4*s. What is the lowest common multiple of 209 and s?
836
Let f(k) = 54*k**2 + 49*k - 256. Calculate the lowest common multiple of f(6) and 18.
17838
Calculate the common denominator of -22/27 and 1*1/(-2) - (96520/11208)/(-19).
25218
Let l be -1*3 + (-8)/(40/(-65)). Suppose 0 = 3*w - 127 + l. Let k = w - 15. What is the lowest common multiple of 15 and k?
120
Find the common denominator of 44/405 and ((-869)/55 + -7)/((-270)/(-4)).
2025
Let u = -25874 - -3234303/125. What is the common denominator of u and 59/975?
4875
Let u(s) = -2*s**2 - 5*s + 5. Let k be u(-5). Suppose p + 5*o - 10 = 0, -4*p = -7*o + 3*o - 16. Let g = p - k. Calculate the least common multiple of 1 and g.
25
Let l(f) = -f**3 - 11*f**2 - f - 8. Let r be l(-11). Suppose -2*v + r*v = -49. Let q = 63 + v. What is the smallest common multiple of 12 and q?
84
Let n(i) = i**2 + 19*i - 15. Let o be n(-12). Let w = -1518723/499850 + -2/19225. Calculate the common denominator of ((-2)/(-5))/(o/110) and w.
234
Suppose -7*w - 132 = 2710. What is the common denominator of -28/9 and 174/w - 291/(-238)?
306
Let v = -5397 - -54051/10. Let g = -5185 - -186685/36. What is the common denominator of g and v?
180
Let i(c) = -c**3 - 4*c**2 - c + 2. Let v = -10 - -6. Let f = 254501 - 254496. Calculate the lowest common multiple of f and i(v).
30
Let y = 262089 - 370593887/1414. What is the common denominator of y and 41/1818?
12726
Let o(q) = -27*q - 2504. Calculate the least common multiple of o(-96) and 2304.
25344
Let u = -131999/6 - -22023. Calculate the common denominator of u and (-74)/(-12)*(-1)/(-9).
54
Let b = -516 - -505. What is the smallest common multiple of 83 + b/(22/6) and 6?
240
Let z = 101291104/906183 - -2/100687. Let h = z - 359/3. What is the common denominator of -17/9 and h?
9
Let b(p) = -39*p - 3. Let x be b(-2). Suppose -35*m + x = -30*m. What is the common denominator of -49/18 and 5/m*(-99)/(-2)?
18
Let u = 19473 - 369482/19. Let v = u + -2843/152. Find the common denominator of -41/47 and v.
376
Suppose -r - 3*r + 168 = 0. Let j(t) = -10201*t - 10147. Calculate the lowest common multiple of r and j(-1).
378
Suppose -2*j + 4*s = -0*j + 216, -j = s + 117. What is the common denominator of (j/(-216))/(-5 - (-60)/9) and -7/6?
60
Let m(z) = -8*z. Let a be m(-1). Suppose -i + 0*k + 6 = 2*k, 4*k + 4 = -i. Calculate the lowest common multiple of 7/(2 - 12/a) and i.
112
Let t be 2/(-7) + 232/28 + 0. Suppose -4 - t = -u + 4*f, -4*f = -3*u + 12. What is the common denominator of (u - 129/9)/((-20)/(-12)) and 5/6?
30
Suppose -344 = -56*n + 160. Calculate the common denominator of ((-3)/n)/(20/135)*2 and -109/70.
70
Calculate the common denominator of ((-122)/(-732))/((-2)/594) and 23.
2
Let l(h) = 2*h**3 + 4*h**2 + 3*h + 2. Let c be l(-2). Calculate the lowest common multiple of -2*(4/3)/(14/(-21)) and -2 - (3 + c)*10.
8
Suppose v + 5*a + 3495 = 3*v, -1765 = -v - a. Let n = -19345/11 + v. Find the common denominator of 4/10 + (-92)/10 and n.
55
Suppose -2*c + 5 = -17. Let r(z) = 3*z**2 - 3*z + 7. Let u = -11 + 13. Calculate the smallest common multiple of r(u) and c.
143
Find the common denominator of 31/488 and (7*391/(-4284))/((-1)/(-10)).
4392
What is the common denominator of 21/2668 and 145 + -154 + (-317)/(-24)?
16008
Suppose 4*f - 5*n - 132 = 0, 20 = f - 5*n + 2. Suppose 971*y - 66 = 968*y. What is the smallest common multiple of f and y?
418
Let j(f) = -f**3 + 5*f - 10. Let m be j(3). What is the common denominator of (m/32)/(99/99) and 81/44?
176
Suppose 16*a - 3*k - 7 = 14*a, -a + 14 = -5*k. Calculate the common denominator of 35/6 and 0 - (a - (-465)/18).
6
Let n = 1/37099 + 1223951/11