t n = 193/4 + -38. Let i = -162569/18 - -9037. Calculate the common denominator of i and n.
36
Suppose -c + 0*c - x = -3, 0 = -x - 1. Let t = 31 - 26. Calculate the lowest common multiple of t and c.
20
Let k(h) = 24*h - 6. Let v be k(-7). What is the common denominator of ((-8)/(-18) - 0)*v/28 and -89/24?
168
Suppose -5*x - 4*f - 1 = 0, -f - 12 = 2*f. What is the smallest common multiple of 30 and x?
30
Let l = 4290/21049 + 1/2037. Find the common denominator of l and 27/2.
186
Suppose 5*j + 58 = -77. Let l = j + 13. Calculate the smallest common multiple of 28/(-6)*(l + 11) and 14.
14
Let q be 76335/24560 + 0/(-3). Let y = -14/307 + q. Let u = -1/126 - 1657/252. What is the common denominator of y and u?
48
Suppose -2*b = -3*v - 1, 0*b + 3*b - v = 19. Suppose r + 0*m = -4*m + 18, 0 = -4*r + 5*m - 33. Calculate the least common multiple of 14 and (3 - b)/(1/r).
70
Suppose 2*j - 38 - 142 = 0. Find the common denominator of 2 + 32/(-18) + 223/j and 53/22.
110
Suppose 1 = -b + 7. Let w = 47 + -42. What is the smallest common multiple of b and 24 - 6/15*w?
66
Calculate the lowest common multiple of 18 and 388/36 + 10/45.
198
Let r(c) = 4*c**2 + c - 3. Let y be r(-2). Find the common denominator of 2/(-4)*1*-21 and y/(-3)*(95/(-100) - -2).
20
Calculate the common denominator of 43/21 and ((-693)/187 + -1)/(-3).
357
What is the common denominator of 37/35 and 33*(-6)/(-168)*(-8)/3?
35
Let p = 40528579/11 + -3688026. Let d = 3606 + p. Let w = 20/189 + 1/27. What is the common denominator of w and d?
77
Let z(n) = n**3 + 9*n**2 + 7*n + 23. Let q = 4710 + -458. Let w = 17109/4 - q. Calculate the common denominator of z(-8) and w.
4
Let f = -34 + -227. Let m = -799/3 - f. Find the common denominator of m and 47.
3
Let i be (-16)/(-6) - (-8)/24. Let p be i - (-2 - -24)*7. Find the common denominator of -23/10 and 5/25 + p/(-45).
90
Suppose 2*i - 8*i + 42 = 0. What is the smallest common multiple of (2/(-6))/(i/(-168)) and 18/4 - 2/(-4)?
40
Let s = -5 + 38. What is the lowest common multiple of 24 and s?
264
Let h = -16101/1670 + -110/167. Let z(i) = -i**3 - 10*i**2 + 16*i + 15. Let w be z(-11). Calculate the common denominator of h and (-265)/w + 2 - 4.
40
Let d = 180 + -266. Let p = d - -37. What is the common denominator of p/(-8) + (-2)/(-1) and -33?
8
Suppose -b - 3*b = -3*n - 46, 0 = 5*b + n - 48. Calculate the smallest common multiple of 180 and b.
180
Suppose -3*u - 2*u = 320. Let h = u - -89. Suppose -5*m + 47 = 7. What is the smallest common multiple of m and h?
200
Let z(v) = 2*v**2 - 45*v. Calculate the lowest common multiple of 18 and z(24).
72
Let n be 4 - 127/(1/(0 + -1)). Suppose n*i + 1 = 132*i. Calculate the least common multiple of 15 and i.
15
Suppose -2*u - 14 = -50. Suppose r + 0 = -2. What is the least common multiple of 20*(0 + r/(-2)) and u?
180
Let a be (-20)/60 - (-16939775045)/(-693). Let v = a - -24444132. Let o = 1/1386 + v. What is the common denominator of o and 97/10?
30
Let i = -5510 + 495913/90. Find the common denominator of i and 47/10.
90
Let f(w) = w**3 + 5*w**2 - 9*w - 8. Let b be f(-6). Let h be 9916/(-420) + (-2)/b. Let v = h + 71/7. What is the common denominator of v and -59/4?
12
Let n = 675 - 627. Calculate the lowest common multiple of 8 and n.
48
What is the common denominator of 101/312 and (75/72 + -1)/((-60)/(-1164))?
1560
Let q be 2 - 20/6*9/5. Find the common denominator of 48/5 and ((-10)/4 + 1)*(-58)/q.
20
Let t = -411 + 420. What is the lowest common multiple of 4 and t?
36
Let u = 214/9813 - 1402017457/215886. Let a = u + 6491. Let z = -952 - -11437/12. What is the common denominator of a and z?
132
Let a = 0 + -2. Let w(j) = j**2 + 3*j + 4. Let i be w(-4). Find the common denominator of 41/3 and ((-57)/i)/((-1)/a).
12
Let a = -2/8727 - 49429/104724. Find the common denominator of a and 417/(-4)*2/(-27).
36
Let n be -1 - ((-5147053198)/399403084 - -1). Let m = -4657/555112 + n. Let c = 5/1439 - m. Calculate the common denominator of c and 39/8.
8
Let n(r) = r**2 - 9*r - 10. Suppose -51*z + 6 = -50*z. What is the lowest common multiple of n(11) and z?
12
Calculate the common denominator of 11/36 and ((-144)/(-480))/((-868)/425 + 2).
36
Suppose -4*l - 4*k + k + 111 = 0, 4*k = 4*l - 76. Suppose l = 2*y + 4. Let q = 5 + 5. What is the lowest common multiple of y and q?
10
Let h = -125083 - -1121164/9. Let p = h + 502. What is the common denominator of p and -65/18?
18
Let r = 3/1093 + -53605/17488. Calculate the common denominator of r and -55/2.
16
Let u = 32 - 31. Suppose -4*f - u + 49 = 0. What is the least common multiple of f and 30?
60
Let h = 100672 - 26577365/264. Find the common denominator of 13/22 and h.
264
Suppose -95 = 5*y - 15. What is the common denominator of 1/(-4) - (-8)/(y/(-39)) and 0 - ((-2)/28 - 0)?
28
Suppose r - 22 = -4*b, -r + 6 = 2*r. Let l = 11 - 0. Suppose 4*z - 13 = -o, l = -4*o + b*z - 0. Calculate the common denominator of o and -131/6.
6
Let q(r) = -2*r - 8. Let m be q(-3). Let n = 6 - 39/5. What is the common denominator of n and 15/10*(m + 0)?
5
Let k = 361 - 237. What is the smallest common multiple of 10 and k?
620
Let w = -349 + 2455/7. Calculate the common denominator of w and -6/35.
35
Suppose 3*g + 33 = o - 88, -3*o = -3*g - 357. Suppose 3*u - 2*y - o = -0*u, 40 = u - y. Suppose -w + 24 = w. Calculate the lowest common multiple of w and u.
228
Let i = -2468 + 189971/77. Calculate the common denominator of 85/14 and i.
154
Let z(s) = -s**2 - 7*s - 8. Let b be (1 + (-2 - (-3)/6))*6. Calculate the least common multiple of z(b) and 2.
4
Let i be (-1 - 0) + 0 + (-2 - -23). Suppose i = -5*b, 4*w + 0*b - 12 = b. What is the lowest common multiple of 9 + -2*1/2 and w?
8
Suppose 0 = -6*i - 2*i + 144. Find the common denominator of 38/9 and (-130)/i + (4 - 4).
9
Find the common denominator of (1/(-6))/(6/(-106)) and 5*12/270 - (-106)/(-18).
18
Let y(m) = m**2 + 35*m + 30. Calculate the lowest common multiple of 72 and y(-38).
144
Let y be 1318/(-4) + 10/(-20). Calculate the common denominator of -53/40 and (-1689)/y - 2 - 1/(-5).
440
Let x = -3670289065/241916 + -2/60479. Let n = -2561173453/168812 - x. Let k = n - 4768963/506436. What is the common denominator of k and 21/20?
60
Suppose 0 = 77*i + 510 - 6747. Calculate the least common multiple of 117 and i.
1053
Let g be ((-2)/(-4))/((-2)/72). Let b = 2 - g. Suppose k = -0*k + 14. Calculate the smallest common multiple of b and k.
140
Calculate the smallest common multiple of (-66)/2*(-14)/21 and (-4*(-6)/30)/(4/110).
22
Let p be (58 - 70) + -1*(3 - -2). Suppose -4*z - 65 = -5*b - z, -b + 2*z + 6 = 0. What is the smallest common multiple of 12 and (-1 - p)*8/b?
24
Let u = -44671/261 + 1535/9. Calculate the common denominator of 29/27 and u.
783
Let t = -44 - -26. Let s = 2 - t. Calculate the smallest common multiple of 35/15*(-240)/(-56) and s.
20
Find the common denominator of -59/3 and (-123)/287 + (-1010)/126.
9
Let b = -7861/330 - -466/33. Suppose -a - 2*a - 174 = h, 3*h - a + 472 = 0. Let g = h + 299/2. Calculate the common denominator of g and b.
10
Let t = 276 + -271. Suppose -g + h = -30, 3 = -2*g - 4*h + 63. Suppose t*v + 0*v - g = 0. What is the least common multiple of v and 5?
30
Let o = 7771 + 8241. Let a = o + -320323/20. Calculate the common denominator of a and 33/7.
140
Calculate the common denominator of -67/22 and 7 + (4 - (-185030)/(-16820)).
18502
Let a(s) = -2*s**2 + 5*s + 6. Let n be a(10). What is the common denominator of ((-156)/n)/(10/18) and -41/46?
460
Suppose 7*g + 1405 = 2*g. Let y be 1120/g + -2 + 6. Let a = -21621/1124 - y. Find the common denominator of 31/4 and a.
4
Let n be 2/10 + (-2901)/780. Let o = -368/39 - n. Calculate the common denominator of o and 75/10*(-3)/(-9).
12
What is the least common multiple of 42/8 - (-4)/(-16) and (-4 + (39/6 - 2))*8?
20
Let s = -15639721487/570295614 + -35419/468223. Let c = s - 2/4263. Calculate the common denominator of -50 and c.
2
Suppose 8*l - 2 = 6*l. Find the common denominator of (-58)/(-24)*l + 1 and -13/20.
60
Let k(c) be the first derivative of -87*c**2/2 + 6*c - 4. Let l be k(8). Calculate the smallest common multiple of 4 and l/(-45) + (-2)/(-3).
16
Let d = 36 + 6. What is the common denominator of d/(-4)*(-17)/(-51) and (-114)/(-