Let b(r) = -23*r - 42. Let j be b(-9). What is the common denominator of 29/30 and 56/(-70) - 278/j?
330
Let p = -3685059271/50 - -73706440. Let v = 5255 - p. Let a = -348/25 + v. Find the common denominator of -42 and a.
2
Let l = -412 + 602. What is the common denominator of -143/12 and 0/(-16) - l/(-44)?
132
Let i(r) = -3*r - 14. Let q be i(-4). Let a = 3 + q. What is the lowest common multiple of 1 and a?
1
Let s = 318 + -306. Suppose -d + 4*d - 348 = 0. Calculate the lowest common multiple of d and s.
348
Let w = -61426/9 - -6817. What is the common denominator of w and -3 + 1 - 71/(-4)?
36
Calculate the common denominator of (-4)/16 - (-11)/(-16) and 1 + 23/22 + (-4 - -2).
176
Let h = 73 + -51. Suppose 0 = 5*n - 3*w + 325, -2*w = -2*n + w - 130. Let o = n + 71. Calculate the smallest common multiple of h and o.
66
Suppose 5580 = -34*h + 124*h. What is the smallest common multiple of h and 248?
248
Let t be -288*3/(-9)*-2. Let r = t - -590/3. Find the common denominator of 47/11 and r.
33
Suppose 19056 - 4606 = -5*s. Let m = s + 63593/22. Find the common denominator of m and -99/2.
22
Let n = -47/60834 - 430750087/334587. Let g = n - -1287. What is the common denominator of g and ((-4030)/1736)/((-6)/21)?
88
Find the common denominator of 1/24 and (-268)/(-3)*11/44.
24
Let o = 129/2 - 57. What is the common denominator of (-27)/(-6) + (-3)/((-243)/18) and o?
18
Suppose -19*w + 129 = -289. Calculate the lowest common multiple of w and 590.
6490
Let u be 85 + 6 - 0/(-1). What is the common denominator of 59/8 and u/(-4) - 0/1?
8
Let m be (-110)/(-9) - 4/18. What is the lowest common multiple of 30 and (-52)/(-78)*m/1?
120
Let w(h) = -h**3 - 6*h**2 - h - 8. Suppose -8*k - 4*q = -11*k + 40, 3*k - 45 = 3*q. Calculate the smallest common multiple of k and w(-7).
240
Let u be 20/60 + 104/3. Find the common denominator of u/168*(0 - (-126)/20) and -61/20.
80
Calculate the lowest common multiple of 164/(-205)*110/(-4) and 82.
902
Suppose -1361*b + 1362*b = 156. Calculate the lowest common multiple of 12 and b.
156
Calculate the common denominator of 64/27 and (-70)/49 + 1 + 1114/378.
27
Suppose 0 = -10*j + 5*j + 5. What is the common denominator of 125/12 and (j - -2 - 0) + 171/(-6)?
12
Let g(b) = b**3 - b**2 - 3*b - 3. Let v be g(-2). Let a be 1/v*12/58. Let l = 265/174 + a. Find the common denominator of 61/18 and l.
18
Suppose 3*w - 51 = 2*j, -w + 4*j - 17 = -2*w. Let i = w + 1. Calculate the smallest common multiple of i and 3.
18
Let z = 1175 + -24650/21. Calculate the common denominator of 82/15 and z.
105
Let m = 28 - 15. Let c = 9 - 8. Let t = m - c. Calculate the lowest common multiple of t and 22.
132
Let w = 4/530644709 - 257232731389/176477268936. Let u = w + -1/1358. Find the common denominator of 51/2 and u.
24
Let i = -5 - -9. Let g = -171/7 + 24. Calculate the common denominator of g and ((-188)/(-48))/((-5)/i).
105
Suppose 4*z + i - 240 = -3*i, 0 = 3*i - 12. What is the smallest common multiple of 4 and z?
56
Suppose 0 = -2*i + 6 + 4, 2*d - i - 79 = 0. What is the lowest common multiple of 24 and d?
168
Suppose -4*k - 135 = -3*j - k, k - 131 = -3*j. Calculate the smallest common multiple of j and 56.
616
Let x = -3448405/117 + 29474. What is the common denominator of 77/8 and x?
936
Let a(c) = 28*c + 338. Calculate the least common multiple of a(-12) and 174.
174
What is the common denominator of 11/18 and ((-462)/1400)/((-18)/(-16))?
450
Suppose -5*w - 130 = -370. What is the least common multiple of 30 and w?
240
Let u = -379/24 + 31/24. Calculate the common denominator of u and (-913)/(-110) - 4/5.
2
Let j(v) be the first derivative of v**3/3 - 5*v**2/2 + 3*v - 5. Let f be j(5). Suppose 7 - 19 = -f*b. What is the least common multiple of b and 20?
20
Let l = 692893/56 - 12375. What is the common denominator of 19/56 and l?
56
Let v = -146 + 78. Let s = 625/8 + v. What is the common denominator of 39/20 and s?
40
Let x(q) = -62*q - 563. What is the least common multiple of 42 and x(-10)?
798
Let r(a) = -11*a - 64. What is the least common multiple of r(-6) and 230?
230
Find the common denominator of (-360)/(-600) + 1543/(-1980) and -41/360.
3960
Let x be -6*(-3)/12*2. Suppose 8*y = x*y - 30. Let k = 10 + y. Calculate the smallest common multiple of k and 14.
28
Suppose 0*h - 17 = -b - 2*h, 39 = 2*b + 5*h. Suppose 0 = -b*k + 5 + 79. Calculate the smallest common multiple of 30 and k.
60
Find the common denominator of ((-180)/80 + 1)/((-8)/6) and 63/40.
80
Suppose 24*g = -4*l + 22*g + 284, 0 = -2*l - 3*g + 150. What is the lowest common multiple of 9 and l?
207
Let d(x) = -x**3 - 7*x**2 - 6*x + 3. Let h be d(-6). Suppose j + h*n - 10 = 0, -2*j + n - 6 = -5. What is the lowest common multiple of j and 5?
5
Suppose 4*m = -16 + 44. Suppose -51*p + 394 = -14. What is the least common multiple of m and p?
56
What is the common denominator of 29/5 - 6/9 and (-14 - -14) + (-166)/60?
30
Let j = -10 - -28. Let r(m) = 212*m + 3610. What is the least common multiple of r(-17) and j?
18
Let q(u) = 2*u - 13. Let k be q(11). Calculate the least common multiple of k/15 + (-17)/(-5) and (-2 + 3)/(1/3).
12
Let r = -1985 + 2373. What is the least common multiple of r and 44?
4268
Let i(f) = -f + 4. Let o be i(12). Suppose -a = 2*a. What is the common denominator of -57/2 and (-2 - a)/(o/(-66))?
2
Let q = -15028 - -8449. Let z be 358/42*q/(-6). Let x = 9352 - z. Find the common denominator of 67/22 and x.
154
What is the common denominator of 2/24*121 + 1 and -1 + (-260)/100*(15/(-18))/1?
12
Let l = 11 - 8. Calculate the least common multiple of (70/(-15))/((-4)/6) and -15*((-16)/(-6) - l).
35
Suppose -33*f + 29 = -29 - 8. Suppose 2*q = 11 + 5. What is the least common multiple of q and f?
8
Find the common denominator of (1390/225)/(104/(-10)) and -81/104.
936
Suppose -2*d + 3*d - 3*v - 29 = 0, 5*d = -3*v + 73. Suppose 0 = -4*i + d + 7. What is the lowest common multiple of 18 and i?
18
Let l = 124793/29156 + -93/788. Let u be -2 + -6 + (-3177)/(-1110). Let w = l - u. What is the common denominator of w and -47/10?
10
What is the common denominator of ((-62)/(-56) - 1)/((-210)/(-735)) and (-2)/4 - (-118)/(-10)?
40
Find the common denominator of 76/153 and (-15 + 9 - (-827)/136)*2.
612
Let r = -7140 + 135693/19. What is the common denominator of r and ((-2)/(-24)*-1)/(12/(-944))?
171
Let z(i) = -i**3 + 2*i**2 + 2*i + 3. Let q be z(3). Suppose q*l = -l - 1. Calculate the least common multiple of (-6)/(-1) - (2 + l) and 1.
5
Let s = -23683/16 + 1477. What is the common denominator of -85/1316 and s?
5264
Suppose 2*l = 4*p + 1 + 91, -5*p = 5*l - 185. Calculate the smallest common multiple of 80 and l.
80
Calculate the lowest common multiple of 5 - (-10 - 116)/14 and 128.
896
Let y be 3/(-6) + (-405)/(-2). Find the common denominator of (-6)/15 + y/80 and (459/36)/17*(-13)/2.
8
Let u be ((-2)/6)/(3/(-36)). Suppose 0 = -u*r + 27 - 7. Suppose -q - r*y + 27 = 0, -5*q - y + 9 = -3*q. Calculate the least common multiple of 2 and q.
2
Suppose -4*f = -z + 4, 0*z + f + 43 = 2*z. Let a = z - 20. What is the least common multiple of a and 25?
100
Calculate the common denominator of -25/63 and 15/(-640)*1036/(-63).
2016
Suppose 0*m - 256 = -4*m. Let b = 15 + m. Suppose -b = -3*v - 31. What is the least common multiple of v and 10?
80
What is the lowest common multiple of (-12192)/(-216) - 12/27 and 168?
168
Let i = -12752219277087077/2709630 - -2039747719978/495. Let a = i - -585556051. Let n = a + 24/391. Calculate the common denominator of n and 77/20.
140
Suppose -27 = -f + t, -2*t = -11*f + 7*f + 98. Calculate the least common multiple of (2 - 0) + (21 - 1) and f.
22
Let h(a) = -a**3 - 20*a + 130. What is the lowest common multiple of h(0) and 30?
390
Let m = 283243/28 - 10114. Find the common denominator of m and 1/2 + (-276)/528.
308
Suppose 148 = -2*r - 2*r. Let d = 69 + r. What is the least common multiple of 20 and d?
160
Let t = -33 - -36. Suppose i - 28 = -3*a + t*i, a + 5*i = -2. What is the least common multiple of 8 and a?
8
What is the smallest common multiple of 8 and -6*(-11)/33*350?
1400
Let y(h) = h**3 - 12*h**2 - 13*h + 13. Let p be y(13). Let u(j) = j**2 - 14*j + 2. Let c be u(p). Let f = 18 + c. What is the least common multiple of 4 and