et h = 149 + -132. Suppose -h*v = -15*v - 62. What is the least common multiple of q and v?
124
Suppose -408*w + 411*w = 48. Suppose -5*r + 86 = -6*r. Let n = r + 126. What is the smallest common multiple of n and w?
80
Let n = -3/198160 - 1889950991/594480. Let l = 2416 + 753. Let k = n + l. What is the common denominator of k and 39/20?
60
Suppose 0 = -4*y + 5*w + 3265, 2*y - 1605 = -439*w + 436*w. What is the least common multiple of y and 450?
4050
Let v be 2/(-8)*1 - (-420)/1616. Let n = -2/29399 + 9203907/29692990. Let u = n - v. Calculate the common denominator of 67/3 and u.
30
Let a = -2303130 - -12692549387/5511. What is the common denominator of -13/15 and a?
27555
Let q(r) = -5*r + 14. Let v be q(2). Suppose 9*p + 12 = 5*p, -380 = -4*h - v*p. What is the smallest common multiple of 6 and h?
294
Let u(h) = 14*h + 15. Let z be u(-4). Let k = -23 - z. Suppose -3 = 5*r - 63. Calculate the least common multiple of r and k.
36
Let j = 2031 - -867. Let c = -109451093/20 + 5469652. Let m = c + j. Calculate the common denominator of 37/14 and m.
140
Suppose -2*m - 917 = -3*m + 5*o, -2805 = -3*m - 3*o. Calculate the lowest common multiple of (-7)/((-28)/(-48))*4/(-3) and m.
3728
Suppose -3222 = 4*k - 2*y, -2140 - 287 = 3*k + 2*y. Let g = k + 888. Calculate the least common multiple of 162 and g.
162
Suppose -3*w + 31601 + 3472 = 2*d, 4*d = -w + 70151. Let o = d + -420973/24. Calculate the common denominator of (37/27)/(-1) + 2 and o.
216
Suppose 348*j + 8864 = 350*j. What is the common denominator of 67/9 and ((-1)/(-36))/(28/j) + -5?
63
What is the common denominator of -71/252 and ((-7)/(-18))/(261/297 - 1)?
504
Let z = -10646/3 + 340423/96. Let n be ((-4312)/2)/1 - (-9 - -13). Let i = n + 47625/22. Find the common denominator of z and i.
352
Suppose 7*b - 15 = 125. Suppose 16*x = b - 4. Suppose 0 = -4*j, 28 = -6*d + 8*d + 4*j. Calculate the smallest common multiple of d and x.
14
Find the common denominator of (-42)/(-7)*((-10)/45 - 3353/(-15048)) and 45/874.
19228
Let d be (-36265)/(-33) + (-2)/(-6). Let m = -112782/77 + d. Let l = m - -364. Find the common denominator of 7/2 and l.
14
Let u = 99753/208 - 3837/8. What is the common denominator of u and -83/120?
3120
Let u = -92377/102 + 905. Find the common denominator of 181/(-12) - -1 - -4 - -2 and u.
204
Calculate the common denominator of (-192 - -222)*(-8)/(-126) and 35/696.
4872
What is the common denominator of (4/44)/(10/(-72)) and 53/11 + 19 + -24 + 757/(-495)?
495
Let z(k) = -4*k + 176. Let i be z(14). Find the common denominator of (18/i)/(24/(-455)) and -21/64.
64
Let b(q) = 38*q + 75. Let j be b(-9). Let o = j + 321. What is the least common multiple of 24 and o?
216
Suppose -2*r - 76 = -8. Suppose 63*s - 260 = 43*s. Find the common denominator of 23/2 and r/(-45)*(s/4 + 5).
30
Let g = 281/11 - 12403/495. Let a = 32366 - 485473/15. What is the common denominator of g and a?
45
Let g be (-30)/(-3)*6/10. Let z be (-401)/(-13) + g/39. Suppose 3*p - 11 = z. What is the smallest common multiple of p and 2?
14
What is the common denominator of ((-12815)/(-1280) + -10)/(21/(-94)) and 127/560?
4480
Let j = -39771/2 - -9744031/490. Calculate the common denominator of 97/735 and j.
735
Suppose 0 = 4*c + 7 - 19. Suppose c*k - 352 = 26. Suppose k = 5*p - 2*a, 0*a - a - 3 = 0. Calculate the least common multiple of 18 and p.
72
Suppose -16*k + 7688 = 3907 - 7163. Calculate the smallest common multiple of 30 and k.
3420
Let s(n) = 25012*n**3 + 12*n**2 + 15*n + 5. Let a be s(-12). Let d be a/6584214 - (-5)/1. Let t = -1/24118 + d. What is the common denominator of 87/2 and t?
78
Let n = -775 + 751. Calculate the common denominator of (n/(-1728))/(3/(-33)) and -43/72.
72
Suppose -m + n + 37 = 0, -4*m + n - 61 = -206. Let w = 38 - m. What is the smallest common multiple of 7 and 5 - (0 + 4/w + 1)?
14
Let j = -60 - -72. Let a = -3338 - -13449/4. What is the common denominator of (-14)/j*(3 + (-1)/1) and a?
12
Let g = -104227/72 - -2895/2. Find the common denominator of g and -2 + 286/240 + 8/(-20).
72
Suppose -5*n = -8*n + 3*p + 507, p - 2 = 0. Suppose -25 = -14*h + n. Let t = -4 - -6. What is the least common multiple of h and t?
14
Let i = 810948559/1848 + -438825. What is the common denominator of -59/192 and i?
14784
Let x = -1591279681/1816 - -3505017/4. Let p be (-35404)/(-288744) - -2*(-2)/24. Let h = p + x. Find the common denominator of h and -69/8.
8
Suppose -2*m + 336 = 4*t, -2*m - 98 = -3*t - 434. Calculate the smallest common multiple of 378 and m.
1512
Calculate the smallest common multiple of (1080/162)/((-2)/(-189)) and 35.
630
Let i(o) = o**2 - o. Let b be i(1). Suppose b = 4*z - 8*z + 240. Suppose -f + 27 + 0 = 2*c, 3*c = 5*f + z. Calculate the lowest common multiple of c and 18.
90
Suppose 6*l - 1 = 17. Suppose 3*v = l + 12. Suppose -5*y + 0*c = 3*c - 141, -3*y - v*c = -75. What is the lowest common multiple of y and 9?
90
Let x = 17386/15 - 1161. What is the common denominator of x and 364/126 - (-2)/6?
45
Find the common denominator of (-2)/((-90)/(-51))*((-425)/410 - -1) and 31/1230.
1230
Let m = 1117229409342 - 100554221516437/90. Let j = -39717182 - m. Let k = -12892/9 + j. Calculate the common denominator of k and 68/33.
330
Find the common denominator of (27/(-14) - -2)*41 and (51/343)/((-232)/1624).
98
Suppose -5*z + 5*w - 2865 = -790, -25 = -5*w. What is the least common multiple of 21 and (24/16)/((-5)/z)?
861
Let k = 1/1862 - -28394/2793. Let h(t) = 7*t**3 - 8*t**2 - 5*t - 4. Let s be h(-4). Let u = s + 5671/10. Calculate the common denominator of k and u.
30
What is the least common multiple of 160 and (-1)/(30/(-20))*40*54/3?
480
Let m be 4 - (-1 + 75156/(-5936) - -1). Let n = m + -471/28. Let y = -367 + 2899/8. What is the common denominator of y and n?
424
What is the least common multiple of (-1)/((-2)/(-140))*(405/27 - 29) and 140?
980
Let a = -3062 - -12307/4. Find the common denominator of a and ((-101)/6)/(((-2)/18)/(106/(-18444))).
116
Let x(r) = r**3 - 14*r**2 + 3. Suppose -12 = -7*o + o. Suppose a + 5*l = 2*l + 27, -2*a - o*l = -34. Calculate the least common multiple of a and x(14).
12
Let y = 328328/796087 + 3/15458. What is the common denominator of -13/10 and y?
1030
Let w be (12/4 + -2)*-1. Let f(h) = 5*h**3 + 3*h**2 + 3*h + 1. Let k be f(w). What is the common denominator of 246/105 - k/30 and 25/12?
84
Calculate the common denominator of -69/10 and (2/(-3) + 85/(-25))*15/(-20).
20
Let r be 8221485/1950 + (-2)/(-13). Let a = -4206 + r. Calculate the common denominator of a and -11/7.
70
Let h(l) = 2*l**3 - 7*l**2 + 16*l - 192. Calculate the lowest common multiple of 2 and h(14).
4148
Let r = -50 - -50. Suppose -2*b - 3*t - 1 + 18 = r, 3*b = -2*t + 13. Let x(s) = 11*s**3 - s**2 + s - 1. What is the least common multiple of x(b) and 20?
20
Suppose 40*g - 29*g = 1518 + 561. Calculate the least common multiple of 3 and g.
189
Let g(w) = -25*w**3 + 8*w + 3. Let x be g(-2). Suppose x = -7*h + 327. What is the smallest common multiple of 4 and h?
20
Suppose -5*k + 10*k = 4*c + 1347, 5*k - 1389 = -2*c. Calculate the smallest common multiple of k and 11.
275
Let t(j) = -j**2 - 415*j + 8264. Let o(g) = 3*g - 1. Let n be o(1). What is the lowest common multiple of 0*(-3)/6 + n and t(19)?
18
Let c = -1697 + 6701. What is the least common multiple of 18 and c?
5004
Suppose -o + 3*i + 32 = -48, -25 = 5*i. Suppose 5*b + 8 = 2*r - 49, -3*b + o = 5*r. Calculate the lowest common multiple of 28 and r.
112
Let o be (-72)/(-180)*151854/64. Let x = 4748/5 - o. Find the common denominator of x and 29.
80
Suppose 4*b - 153 = 5*f, -4*b - 45*f = -42*f - 113. Find the common denominator of b/112 + (-7106)/2576 - -2 and -43/16.
368
Let i(t) = -4*t**2 + 12*t + 5. Let l(f) = -f**3 - f**2 - f - 1. Let m = -9 + 10. Let s(o) = m*l(o) + i(o). What is the common denominator of -63/8 and s(-7)?
8
Suppose -3*v - 3*k - 44 = 37, 3*k = -2*v - 53. Let t = v - -31. Let x(n) = 9*n - 5. Calculate the least common multiple of x(t) and 12.
132
Let j = 439/2496 - -23/39. Let s = -548/211 + 1641/1688. Find the common denominator of s and j.
64
Let o(q) = 28*q**3 + 3*q**2 - 8*q + 28. Calculate the lowest common multiple of 6 and o(4).
1836
Let d = 13 + 54. Suppose d*y = 63*y + 20. What i