late the lowest common multiple of q and w.
272
Calculate the least common multiple of (2/8)/(((-78)/96)/(-13)) and 2.
4
Let c(z) = -3*z**2 + 21*z - 6. Let m be c(10). What is the common denominator of m/21 + 5/((-25)/(-20)) and (2/(-25))/((-1)/(-60))?
35
What is the common denominator of -89/18 and ((-1282)/(-180) - 5) + 8/(-18)?
90
Let d be (-2)/12*(-651595)/15. Let a(x) = 7235*x**3 + x**2 - 2*x + 1. Let v be a(1). Let l = v - d. Find the common denominator of l and 31/8.
72
What is the lowest common multiple of 25 and (105/6)/((-8)/(-28 + 12))?
175
Find the common denominator of -41/272 and ((-1350)/(-51000))/((-3)/26).
1360
Let a(q) = 7*q + 7*q + 20 - 16*q. Calculate the least common multiple of a(5) and (-2)/(-9) - 124/(-9).
70
Let w = 120 - 113. Calculate the lowest common multiple of w and 2.
14
Suppose -5*g = -g - 2*y + 6, 0 = -g - y - 3. Find the common denominator of 3/4 and g/(-6) + (-97)/30.
20
Suppose -33 = q + 4*n, 9*q - 4*q - n + 228 = 0. Let o be (-2)/(-9) - (-4 - 222/(-27)). What is the lowest common multiple of ((-18)/q)/(o/(-110)) and 5?
55
Let b = 12 - 2. What is the least common multiple of 8*(-2)/(-6) - 2/3 and b?
10
Suppose 2*i = -2*z - 16, 0*i - 3*z = 4*i + 28. What is the common denominator of (-194)/(-72)*(7 - 9) - -5 and (-1)/i - (4 + -4)?
36
Let i be 170/104 + (-5 - (-5 - -2)). Let w = 779/104 + i. Find the common denominator of -25/88 and w.
88
Suppose -3 = 3*x - 6. Let q be (-28655)/(-90) - x/(-2). Let n = -27953/90 + q. What is the common denominator of n and -7/18?
90
Let h = 747/6188 - 3/221. Calculate the common denominator of 89/56 and h.
56
Let y be 266 + (1 - 2) + -2. Let j be (-415)/(-654)*y/25. Let u = j - -8/327. Find the common denominator of -15/16 and u.
80
Let a be 4/(-190)*216/(-120). Let c = a + -23383/2850. What is the common denominator of 29/16 and c?
48
Let b(k) = k + 2. What is the least common multiple of (12/(-4))/(21/(-70)) and b(2)?
20
Let q = -437/15 + 28. Calculate the common denominator of -25/6 and q.
30
Suppose -4*q + 32 = 3*o, 0*q = 5*o + 5*q - 45. Let k be ((-3123)/(-264))/(o/432). Let g = -2547/2 + k. Find the common denominator of 127/6 and g.
66
Let d(k) = 8*k - 1. Suppose -3*m + m + 16 = 0. Suppose 5*f - 4*c - 5 - m = 0, 2*f - 4 = c. What is the lowest common multiple of 7 and d(f)?
7
Suppose -5*h = -47 - 288. Suppose 6*n + 1 = h. Calculate the least common multiple of 8 and n.
88
Let r(f) = -f**2 + 7*f + 6. Let i = -8 + 14. What is the smallest common multiple of 2 and r(i)?
12
Suppose -4*g - 332 = -412. Calculate the lowest common multiple of g and 14.
140
Suppose t - 302 = -3*g + 6*t, -4*g = -2*t - 398. Calculate the lowest common multiple of g and 30.
990
Let m be -2 - (2 - (-60)/(-3)). Let j = -4 + m. Calculate the smallest common multiple of 63/j - (-6)/8 and 11.
66
Let o = 160/63 + 29/14. What is the common denominator of 61/78 and o?
234
Suppose 3*d = d - 10. Let q be (-46)/(-10) - 2/d. Suppose -2*k + 5*s + 17 = 0, -s = 4*s - q. What is the smallest common multiple of 2 and k?
22
Let m be (-713)/161 + (-17)/(-7) + -2. Find the common denominator of (3/m*-194)/(-6) and -2/139.
556
Let b = -39 + 19. Find the common denominator of 3 + (-4 - (-4)/b) and -51/2.
10
Let o(x) = x**3 + 5*x**2 - 7*x + 1. Calculate the lowest common multiple of o(-5) and 45.
180
Suppose -4*t = 4, 5*t + 49 = 2*g + 2*g. What is the least common multiple of g and 11?
11
Let f = 87/19 - 401/266. Find the common denominator of f and -63/20.
140
Let i(g) = -17*g + 0*g**2 - 13 + g**2 + 7*g. Let y be i(10). Calculate the common denominator of 55*(y/5 - -3) and 33/7.
7
Let i be (-6)/(-3) - (-4)/2. Let u be (-3 + i)*-2*-16. Find the common denominator of -76/9 and (u + -1)*(-2)/(-8).
36
Suppose -128 = 2030*s - 2038*s. Calculate the lowest common multiple of s and 62.
496
Let h = -326 - -9779/30. Find the common denominator of 59/55 and h.
330
Let q = 46/1555 + 426291/45095. Let g = 16/87 + q. What is the common denominator of g and 99/16?
48
Let l = -183025/238293 + -72/2407. Calculate the common denominator of l and 26/27.
297
Let f(n) = -2*n**2 + n + 3. Let b(i) = -2*i**2 + i + 2. Let m(c) = -4*b(c) + 3*f(c). Let p = 208 - 207. Calculate the least common multiple of p and m(2).
7
Suppose 2*l - 7*l + 4*r = -100, 5*l - 90 = 2*r. What is the least common multiple of l and (-1)/((-3)/54) - -2?
80
Suppose -6*l = 79 - 373. Let p = l - 31. What is the least common multiple of p and 52?
468
Let p = 73 - 79. Calculate the common denominator of p/(-16) - 1362/816 and 71/2.
34
Suppose 624 = 29*o - 3*o. Calculate the lowest common multiple of o and 17.
408
Let c be 21*(-2)/6*-1. Suppose 1 + c = 4*x. Suppose 0 = -a + 5*a + x*r - 22, 0 = -4*a - r + 23. Calculate the lowest common multiple of 9 and a.
18
Let g(a) = 6*a + 162. What is the smallest common multiple of g(-19) and 156?
624
Suppose -n + 24 + 2 = 0. Let c = -14 + n. Suppose 20*r - 5*w - 1 = 21*r, 0 = -4*w - 12. What is the least common multiple of r and c?
84
Let h = -7/248226310 + 18913479621437/1565315110860. Let u = -1/2102 - h. Calculate the common denominator of -19/16 and u.
48
Let i be (-15)/6*(-16)/10. Suppose s = i*b + 20, 0 = -5*b - 0*b - 25. Suppose s = -4*j + j + 18. What is the least common multiple of 9 and j?
18
Suppose -2*t - 17 = -11. What is the lowest common multiple of 414/45 + 0 + t/15 and 7?
63
Let w be (-2809)/6 + 2/3. Let x = 477 + w. Find the common denominator of (1/(-2))/((-24)/(-108)) and x.
4
Let r(v) = v + 7. Suppose -4*w - 26 + 14 = 0. What is the least common multiple of 2 and r(w)?
4
What is the least common multiple of 48 - 1 - (-5 - -6)*-1 and 2?
48
Let l = -1517/46 + 34/23. Let f = 3784/9 + -82285/198. Find the common denominator of l and f.
22
Let p = -2242 + 11246/5. Find the common denominator of -67/8 and p.
40
Let r = 22840467 - 456698169/20. Let z = -33385/6 + r. Let i = -11/12 - z. What is the common denominator of 23/7 and i?
70
Suppose k - 19 = -7. Suppose 0 = 4*l - k, -11 + 5 = i - 5*l. Calculate the common denominator of 101/16 and (-3)/i - 482/84.
112
Let i(n) = -n**3 + 7*n**2 + 3*n. Let w be i(8). Let k = w - -33. Let y(o) = o**3 + 6*o**2 - 8*o - 3. What is the lowest common multiple of y(k) and 32?
32
Let z = 36/209 - -11193/4180. Let y = -1804/5 - -358. Find the common denominator of y and z.
20
Let o = 11 + 1. Calculate the least common multiple of (-1)/((-6)/(-24)*-1) and o.
12
Let u = 162813/10 + -10219589/630. Let n = u + -366/7. Let v = -9941/8 - -1232. Find the common denominator of n and v.
72
Suppose i + 8 = -0. What is the lowest common multiple of 36 and i/(-8)*(3 - -25)?
252
Let b = -6/325 - -29611/1950. What is the common denominator of b and 151/168?
168
Let i = -672 - -676. Calculate the least common multiple of 16 and i.
16
Let i(q) = q**3 - 15*q**2 + 13*q + 25. Calculate the lowest common multiple of 44 and i(14).
44
Suppose 29 = -l + 319. Let d be 2/(-3) - l/(-385). Let s = d - 14251/1848. What is the common denominator of s and -43/4?
8
Let c(a) = -8*a - 2272. Let o be c(0). Find the common denominator of 41/11 and (1/5)/(2 - o/(-1140)).
22
Suppose -j = -5*o + 9, -2*j - 1 = -3*o + 3*j. Calculate the lowest common multiple of 9 and o.
18
Calculate the common denominator of 28/55 and 354/5250 + (-51)/(-119).
1375
Let j be (192/10)/(2/135). Let k = 62969/5 + -69397/5. Let r = j + k. What is the common denominator of 54/7 and r?
35
Let h(t) = t**3 + t**2 + t + 28. Suppose -6*q = -q. Suppose 11 = 4*d + 3*g - 17, 3*d = g + 34. What is the least common multiple of d and h(q)?
140
Suppose 3*u + 0*u - 15 = 0. Let l(h) = 3*h**2 - 9*h - 1. Calculate the lowest common multiple of l(4) and u.
55
Let o = -127519859/875 - -145737. Find the common denominator of 21/40 and o.
7000
What is the smallest common multiple of (-20)/140 - 255/(-21) and 298?
1788
Let q = -1324 - -23783/18. What is the common denominator of 55/36 and q?
36
Let n = 10093967860/231 - 43696692. Let j = n - 974/21. Let r = j + -5587/55. Find the common denominator of 54/5 and r.
5
Let j = 5 - 7. Let o = 86 - 70. What is the least common multiple of o and (-42)/(-4) + 1/j?
80
Let o = 18395/168 + -879/8. Find the common denominator of -157/30 and o.
210
Let y be (2/3 - 6/(-18))*2. Suppose -38 = -4*k - y*m, -6*m - 27 = -3*k - 8*m. What i