 3*m + 5*b - 289 = 1297. Calculate the smallest common multiple of 696 and m.
2088
Let g(f) = -f**3 + 3*f**2 - 2*f + 13. Let n be g(-6). Let v = n - 327. Calculate the least common multiple of (-10)/(-6)*4*6 and v.
440
Let i = 20567655/1068485143 - 82/4259. Let x = i + 796032730/2257893. Let n = x - 348. What is the common denominator of n and 6/5?
45
Suppose f - 5*f = -g + 1, 0 = 2*f + g - 7. What is the common denominator of 30/31 and ((-8667)/(-54))/(1*f*-9)?
186
Suppose -57 = 2*a - m - 0*m, -93 = 3*a + m. Let o = 394/3 + -133. Find the common denominator of (-259)/(-53) + a/6 and o.
159
Suppose 2*i + 5*o + 1251 = 0, 2*i - 5*i + 4*o = 1911. Calculate the common denominator of 57/74 and i/422 + ((-84)/(-25))/2.
1850
Suppose -7*b - 672 - 14 = 0. Let y be (5 - b/(-20))/((-2)/36816). Let l = -1834 - y. Find the common denominator of l and -11/7.
35
Let p(m) = -m**2 - 11*m + 5. Let q be p(-11). Suppose q*y + b = -11, 5*b - 1 = -5*y + 4. What is the lowest common multiple of (-9)/y + -7 + 7 and 27?
27
What is the least common multiple of 540 and (-3 + 30/4)*(-1 - -25)?
540
Let q = -2346 - -2496. What is the least common multiple of q and 65?
1950
Let r be ((-4)/6 - 608/(-12))*-6. What is the common denominator of -139/144 and (4/24)/((-16)/r - 0)?
144
Calculate the common denominator of -58/5 and 395/(-22)*474/(-613830).
28490
Suppose -c - 1 - 3 = 2*u, 0 = -3*c + 3*u + 33. Suppose 10*s = -0*s + 760. Let g = -68 + s. Calculate the lowest common multiple of c and g.
24
Suppose 2*z - 4*u = 0, 0 = z + 2*z - 4*u - 6. Let s = -56 + 42. Let j(c) = 2*c + 30. What is the least common multiple of z and j(s)?
6
Let y be (4936 + -3)/(2/1). Let f = 2417 - y. Find the common denominator of (-9)/(-12) + (-241)/52 and f.
26
Let j(l) = 13*l - 48. Let t(d) = 225*d - 815. Let x(f) = -35*j(f) + 2*t(f). Calculate the least common multiple of x(6) and 50.
100
Let c = 49 + -25. Let n = 999 + -978. What is the lowest common multiple of c and n?
168
Let b = 919 + -911. Calculate the common denominator of (-779)/(-30) + b + 44/(-5) and -1/6.
6
Find the common denominator of ((-2)/(-5) + 4959/(-12760))/2 and -79/10.
880
Suppose -6*b + 6 = -3*b - 3*r, 4*r = 3*b - 3. Suppose -i + b*i = -112. What is the common denominator of 19/18 and ((-5)/7)/(3*i/49)?
36
What is the common denominator of (225/6 + -3)/(-22) and (1658/40 + ((-36)/(-6))/(-24))/(-4)?
220
Let x = 53960 + -25601. Let i = x + -20134897/710. Let r = -23242/1065 + i. Find the common denominator of r and 17/3.
6
Calculate the common denominator of -1/12 and 2366/(-5760) + (-98)/(-441).
960
Let v(n) = 11*n**2 + 3*n + 2. Let w(z) = 10*z - 102. Let m be w(10). What is the least common multiple of v(m) and 40?
40
Let y = 133522/12595 - 3/2519. Suppose 5 + 1 = 3*d. Calculate the common denominator of (d/5)/(15/6) and y.
25
Calculate the smallest common multiple of 180 and 16801/21 + (-210)/4410.
7200
Let f = 3977/5 + -71141/90. Let m = -1661/342 + f. Find the common denominator of -7/27 and m.
513
Suppose -4*q + 4 = 4*c, 3*q + 2 = c - 3. Find the common denominator of 13/3 and ((-714)/(-826))/((-3)/c).
177
Suppose 0 = -5*s - 5*x + 165, s + x = 4*s - 99. Let v = s + -22. Let u = -18 + 25. What is the lowest common multiple of v and u?
77
Calculate the smallest common multiple of 10*(-104)/40*-5 and 80.
1040
Let x = 1/3852 - 88657/234972. Suppose -6*s + 2*s + 2264 = 0. Let v = -2816/5 + s. What is the common denominator of v and x?
305
Calculate the lowest common multiple of (3 + -13)*(-16 + -7)*1 and ((13 - 6) + -1)*1.
690
Let k(i) = i**2 + 21*i + 53. Let n be k(-18). What is the common denominator of 84/(-20)*(-26)/48 and (157/(-10) + 5)*n?
40
Suppose 4*f - 3*n - 1167 = 0, 3*n + 420 - 1557 = -4*f. Calculate the common denominator of 55/64 and ((-18)/f)/((-1)/(-101)).
64
Suppose -t + 4*t - 110511 = 0. Let h = t + -626746/17. Let n = h + 27697/918. What is the common denominator of -97/10 and n?
270
Suppose -3*n + 2*b = -173, 4*n - 5*b + 3 = 229. Suppose -5*r = -n - 26. Suppose -9*y + 55 = -r. Calculate the least common multiple of 2 and y.
8
Let q = 10 - -28. What is the common denominator of 363/(-22)*(-9)/12 + -3 and q?
8
Let p(l) = 119*l - 6202. What is the lowest common multiple of p(70) and 931?
14896
Calculate the common denominator of 443/(-7378) + ((-120)/(-255))/4 and -27/14.
434
Let g be ((12 - 17) + 0)/((-2)/(-2402)). Let w = g + 192093/32. Find the common denominator of 51/10 and w.
160
Let p(n) = -11 - 4*n**2 + 10 - 4*n + 6*n - n**3. Let k(y) = -5*y + 35. Let x be k(8). What is the least common multiple of 12 and p(x)?
84
Suppose -14*u + 133 = -49. Suppose -12*c = -u*c + 36. What is the smallest common multiple of 15 and c?
180
Suppose 0 = 2*a + 4*b + 1420, -1509 = 2*a - 5*b - 134. Let h = -676 - a. Let y(p) = 5*p**2 + 3*p - 3. Calculate the smallest common multiple of h and y(-3).
264
Let h = 4291 - 4149. What is the lowest common multiple of h and 426?
426
Let x(c) = 4*c**2 + 166*c + 192. Calculate the lowest common multiple of x(-43) and 115.
10350
Let k = 296/7 + -4407/112. Suppose -4*g = 14 + 146. Calculate the common denominator of (1460/g)/(18 - 2) and k.
32
Suppose -4*h = 3*u - 621, -4*h - 348 = 7*u - 997. Suppose -5 = -3*t + 4. What is the lowest common multiple of t and h?
150
Suppose 76 = -4*w - 4*z, 3*w + 36 = -z - 29. Let c be w/7 - (40/(-28))/5. Find the common denominator of (13/12)/(c/(-20)) and 22/7.
63
Let a = 12839 + -462161/36. Let l = 805/4 + -207. What is the common denominator of l and a?
36
Let m be 8/(-12) + ((-16)/6)/(-4). Suppose f + 5*f - 30 = m. Suppose 12*g - f*g - 49 = 0. Calculate the smallest common multiple of g and 10.
70
Suppose o + o - w - 7 = 0, 3*o - 13 = 4*w. Calculate the smallest common multiple of 11/(77/(-14)) + 83 and o.
81
Suppose 30 = 2*r + 2*a, 0 = 4*r - 2*a - 102 + 12. What is the lowest common multiple of r and 155?
620
Let u(r) be the second derivative of 2*r**3/3 - 8*r**2 + 20*r. Let x = -7 + 8. What is the lowest common multiple of u(6) and x?
8
Let a(f) = -1591*f - 7416. Calculate the least common multiple of 2499 and a(-5).
27489
Suppose 0 = 4*r - k - 814, -5*k = -10*r + 6*r + 806. Calculate the lowest common multiple of 340 and r.
1020
Suppose 1677*s = 1663*s + 25480. What is the lowest common multiple of s and 2912?
14560
Let i = 13656467/145 - 94175. Let n = -425137/55970 + i. What is the common denominator of n and -71/14?
2702
Let r be (6/(-1035)*5)/(6/4). Let j = r + -6409/414. Find the common denominator of j and -51/104.
104
What is the least common multiple of 303 and (27/6 + -3)/(2430/1212 - 2)?
303
Let y = 17120 - 17107. Find the common denominator of y and ((-23)/3)/((-8)/(-10)).
12
Let x = 2815 + -2717. What is the lowest common multiple of 56 and x?
392
Calculate the common denominator of -37/870 and (20/150)/((-56)/1130).
6090
Calculate the least common multiple of (-20235)/(-90) - (-5)/(-6) and 28.
224
Let m(v) = -7*v**2 - 5*v + 1. Let t be m(4). Let r = -2/1068915 + 1107752261/8551320. Let y = t + r. What is the common denominator of y and -61/21?
168
Suppose -3*s = 3*u - 96, -3*u + s = -2*s - 102. Suppose -v - u + 156 = 0. What is the lowest common multiple of 30 and v?
1230
What is the common denominator of (408/409 + -1)/(2096/43492) and 27/16?
6544
Let w = 33959 + -33521. What is the smallest common multiple of w and 42?
3066
Let m = -470 - -1103. Let q = -631 + m. Calculate the smallest common multiple of q and 220.
220
Let x = 12/37 - 2141/555. Calculate the common denominator of -31/1670 and x.
5010
Let b = 9508 + -8512. What is the smallest common multiple of 6 and b?
996
Let v = -30 - -21. What is the common denominator of -1 - 13/(-15) - 148/(-30) and (v/27)/((-2)/53)?
30
Let y = 2/25589 + 433733/16376960. Find the common denominator of -71/20 and y.
640
Calculate the common denominator of ((-1)/68*94 + -3)*(-2)/(-12) and -81/124.
6324
Suppose 8 = 5*f - 12, -3*f = z - 22. What is the least common multiple of (0 - (-7564)/42) + (-1628)/17094 and z?
180
Let x = -1526/69 - -18/23. Suppose -6*b + 203 = 53. What is the common denominator of x and ((-138)/(-4))/(5/b + -2)?
6
Let q = -33/239 - 1588/17925. Let j = 1589 - 52441/33. What is the common denominator of j and q?
825
Suppose -17586 + 1780 = -1605*n + 476*n. Let p(d) = 9*d