9
Let m = -4221/4 + 1046. Find the common denominator of m and (16 - -7) + (-651)/36.
12
Let w be ((-8)/6)/((-16)/(-24)) - 411. Let o = w + -100. Calculate the common denominator of -27/8 and o/156 - 2/16*6.
104
Let a(o) = 2*o**2 - o - 15. Let u(n) = 3*n**2 - 16. Let t(b) = -4*a(b) + 3*u(b). What is the least common multiple of 21 and t(-3)?
63
Let t = -2599 + 2605. What is the lowest common multiple of 12 and t?
12
What is the common denominator of (9/(-30))/((-4)/6) and 444/664 - (-4 - 25/(-5))?
1660
Suppose -146 = -102*v + 874. What is the lowest common multiple of ((-6)/(-9))/((-2)/(-51)) and v?
170
Let r = -12/3665 - -524239/43980. Let d = -50591492 - -910056313/18. Let s = d + 32816. What is the common denominator of s and r?
36
Let q = -5343 - -6487. Calculate the lowest common multiple of 1560 and q.
17160
Suppose 5*t = -19 + 29. Calculate the common denominator of (-10)/15 + 142/15 and (9/(-18) + t)/((-7)/2).
35
Let j(d) = 2*d + 1. Let f be j(1). Suppose f*k - 6 = 3. Suppose -k*m + 77 = 5. What is the least common multiple of 22 and m?
264
Let f be (-20063725)/28436760 + (-2)/16. Let g = 10/1503 - f. Find the common denominator of -39/5 and g.
215
Calculate the smallest common multiple of 190 and (517/(-21) + (-80)/112)/((-3)/36).
1520
Let p(q) = 2*q + 41. Let k be p(-19). Suppose 5*s - 30 = -k*t, -3*s - 3*t + 25 = 13. Calculate the least common multiple of 6 and s.
18
Let p = 79724371/84 - 949080. Let x be (-1972)/1008 + 2/(-9). Let g = p - x. Calculate the common denominator of g and 35/8.
24
Let m(n) be the third derivative of -n**5/60 + 5*n**4/12 - n**3/2 - 3*n**2. Let w be m(9). Find the common denominator of -41/8 and ((-82)/w)/((-172)/36 + 7).
40
Let q be 2*((-14)/4 - -2). Suppose -f = 4*y + 25, 125*f + 23 = -3*y + 120*f. Calculate the smallest common multiple of 10 and (-12)/y*q/((-9)/30).
20
Let r(s) = 7 + 4*s**2 - 7*s**2 + s**2 - 5*s + s**2. Let k be r(-7). What is the least common multiple of 18 and -7*(32/k - -2)?
18
Let g be 2 + (-5 - -2) - -433. Suppose 3*j - 12*j = g. Let v = 66 + j. What is the smallest common multiple of v and 20?
180
Calculate the common denominator of 70/112*(-178)/(-10) and -95/4.
8
What is the common denominator of (-76)/(-6) - -2 - -5 and -8 - -12 - (48/22)/(-3)?
33
Let w be -1 - 20/(-4) - 74408/(-1300). Let i = w - 768/13. Find the common denominator of 53/10 and i.
50
Suppose -3*o - 2*z = -0*o - 5, 2*z - 6 = -2*o. Let a(x) = -17*x - 4. Let c be a(o). Suppose -c*w + 499 = 187. Calculate the lowest common multiple of w and 16.
48
Let c = -39 + 83. Let z(y) = 8*y + 2. Let a be z(-5). Let l = c + a. Calculate the smallest common multiple of 4 and l.
12
Let j be ((-66)/8)/(495/88). Let l = j + -107/60. Find the common denominator of -69/388 and l.
388
Let w = 280798/3 + -93605. What is the common denominator of w and 0 + ((-177)/(-72) - -3)?
24
Let r = -6034 - -6040. What is the smallest common multiple of r and 9?
18
Let w be (-3)/(-585)*3237/(-26). Let y = w - -47/195. Calculate the common denominator of 79/12 and y.
156
Let s(k) = 545*k - 23. Let o be s(-9). Let j = -10013 - o. Find the common denominator of (j/126 - (-2)/(-14))/(-4) and -19/20.
40
Suppose 130*o + 34104 = 536*o. Calculate the lowest common multiple of 60/14 + (-2)/7 and o.
84
Let v(a) = -30*a**2 - 809*a + 33. Calculate the least common multiple of v(-27) and 4466.
13398
Let d(p) = -4*p**3 + 139*p**2 + 54*p + 130. What is the lowest common multiple of 60 and d(35)?
3180
Suppose -18*k - 21*k + 29*k + 39420 = 0. What is the lowest common multiple of 876 and k?
7884
Suppose -12 = -5*x + 18. Let w be 1004/14 + (-10)/(-35). Suppose w = 4*i + 3*s, 0*i - 3*i - 2*s + 54 = 0. What is the lowest common multiple of x and i?
18
Suppose 45 = 4*a - 15. What is the common denominator of (-75)/a - (-50)/12 and 37/3?
6
Let c = 3698/143 - 254/11. Let a = 230 + -4145/18. Let r = a - 254/9. Find the common denominator of c and r.
26
Let y = -95 + 106. Suppose 56 = -k + 6*k - 4*n, -k = -n - y. What is the common denominator of 3/k - 1736/160 and -46/5?
5
Let u(o) = 21*o + 20. Let j be (-3 + 2)/(-1 - (-48)/52). Let f be u(j). Let m = -13479/46 + f. What is the common denominator of -83/12 and m?
276
What is the common denominator of 16/((-79728)/77)*(-1 + 2 + -8) and 25/9?
1359
Let a(n) = 4*n - 1. Let k be (-55)/(-22)*42/5. Suppose -k*f = -4*c - 16*f + 16, -c - 2*f + 17 = 0. What is the least common multiple of c and a(3)?
99
Let g = -1249/73 - -739303/42924. Find the common denominator of -41/12 and g.
588
Calculate the least common multiple of 512 and 56/(-20) - (-5010)/75.
512
Let z = -278 - -420. Calculate the smallest common multiple of z and (-12366)/288 + 43 - (-525)/48.
1562
Let h = -76603/90 + 4221/5. Let p(u) = -3*u + 55. Let m be p(18). Find the common denominator of h and 218/(-36) + m - (-86)/129.
18
Let u(n) = -n**3 - 13*n**2 - 24*n - 23. Let t be u(-11). What is the common denominator of 109/40 and (-3)/t*1817/(-3312)?
240
Let j(o) = -o**3 - 2*o**2 + 8*o. Let a be j(-5). Let d = a - 33. What is the common denominator of 101/30 and (-85)/(-20)*d*5/2?
60
Find the common denominator of 2/((-10746)/48165) + -10 + -11 + 30 and 19/4776.
14328
Suppose -86 + 85 = -3*p - 2*x, -x - 1 = p. Suppose -578 = -p*v - 98. What is the smallest common multiple of 25 and v?
800
Suppose -4*s + 256 = 2*v - s, -2*v + 4*s = -242. Let b(z) = -10*z**2 - 481*z - 13. What is the smallest common multiple of v and b(-48)?
875
Let a = -7291/2590 - 22/259. Calculate the common denominator of a and 71/9572.
47860
Let n(i) = i**3 + 1. Let m be n(10). Find the common denominator of 20/10 + -3*485/525 and -1*3 + m/42.
210
Let v be 3/7 + 5563907/966. Let t = 5738 - v. Calculate the common denominator of t and (-764)/112 - 2/8.
42
Let i(p) = p**2 - 4*p - 10. Suppose -7*g + 13 + 8 = 0. Suppose -2*a - 4*v = -18, -g*a + 36 = a + 4*v. What is the smallest common multiple of i(7) and a?
99
Let q(j) = -2*j**3 + 40*j**2 + 4. Let x = -65 + 85. What is the least common multiple of 6 and q(x)?
12
Suppose 0 = -12*d + 4*d + 784. Let m = 95 - d. Find the common denominator of (m/5)/(42/(-165)) and 65/86.
602
Suppose 5*c + 1 - 11 = 0. Suppose 25 = c*v + 3*v. Calculate the smallest common multiple of v and 7/819*-13*-27.
15
Suppose -5*b + 2089 = g - 5076, -g = 5. Calculate the least common multiple of 4302 and b.
4302
Let t be (-95 - (6 + -3))/(3 - 2). Let f be 19/(-7) + 28/t. Calculate the smallest common multiple of 6 and 590/22 + 4/(-66)*f.
54
Let f = -44959/8815 - -1/3526. Let d = -27917/6 + 4630. What is the common denominator of f and d?
30
Find the common denominator of (-4)/16 - 283/(-36) and ((-166)/(-12))/(((-40)/(-15))/(-4)).
36
Let n = 43150 - 2416315/56. What is the common denominator of n and 770/70 - 11/(-4)?
56
Let m be (-7092)/(-84) + (-12)/28. What is the common denominator of 283/m - 1/3 and -43/8?
56
Suppose -10*o + 4 = -9*o. Suppose 5*r + 4 = o*r. Find the common denominator of -61/6 and r/(-18) - 1778/(-2772).
66
Suppose -k + 5*u + 0 = -38, 5*u + 56 = 2*k. Suppose -335 = -2*z - 139. Calculate the smallest common multiple of z and k.
882
Let t = -5449 + 5683. Calculate the lowest common multiple of 102 and t.
3978
Let k = -5072 + 5261. Calculate the smallest common multiple of k and 21.
189
Let a(q) = -q + 23. Let s be a(23). Suppose -3*k - 4*i = -40, 5*i = -s*i - 25. What is the lowest common multiple of 92 and k?
460
Suppose 7*d + 4*d = -21120. Find the common denominator of 121/60 and -9 + 1326/d*-14.
480
Suppose -5*b = -0*k + 4*k - 70, -4*b + 5*k = -97. Let g = 13 + 2. Calculate the smallest common multiple of b and (54/g)/((-8)/(-40)).
18
Let j(f) = -11*f**3 + 2*f + 21. What is the least common multiple of 39 and j(-3)?
312
Suppose 4*z = 3*t - 124, -144*t - 3*z + 77 = -142*t. Let m(i) = 7*i - 1. What is the smallest common multiple of m(3) and t?
40
Let w be -6 + 4 - (-6)/1. Suppose 28 = 4*m + 4*l, -6*l - 1 = -w*m - l. What is the smallest common multiple of m and 4?
4
Calculate the common denominator of (3/60)/((-40)/(-75))*(6 + 30) and (10/(-108))/5*-4.
216
Let u be -3 - (0 + -2 - 147). Let s = u + -14. What is the least common multiple of 22 and s?
132
Let b = -1444 + 1634. What is the least common multiple of 190 and b?
190
Suppose -2*v + 24 = 14, -2*l + 2