2*t - 66 = -76. Calculate the smallest common multiple of t and 16.
80
Let u = -24387 - -60528549/2482. Find the common denominator of u and 77/10.
12410
Find the common denominator of -103/24 and 17/(-170) + (-1707)/(-1620).
216
Let z(r) = 0 + 35 - 2*r**2 + 5*r**3 + r - 6*r**3. Let b be z(0). What is the lowest common multiple of (-14)/b + (-84)/(-10) and 14?
56
Let q = 220681/28 + -7883. What is the common denominator of q and (194/(-200))/(871/(-65) - -13)?
280
Calculate the smallest common multiple of (25/10 - -3)*4 and 76.
836
Calculate the common denominator of ((-3412)/(-48) + 1)*(-2)/(-35) and 1*-2 - (-4 + (-565)/(-60)).
84
Let i = 18/257 + -17083/5397. What is the common denominator of i and -101/2?
42
Find the common denominator of -151/24 and 22/((-4)/15*-36).
24
Let n(y) = y**3 - 10*y**2 + 13*y - 16. Let g(x) = -2 + 1 - x + 2. Calculate the lowest common multiple of g(-5) and n(9).
60
Let x be 330/45 - 1/3. Suppose -x*m + 6*m + 2 = 0. What is the lowest common multiple of 20 and m?
20
Find the common denominator of ((-416)/429)/(7/9 + -1) and 2/127.
1397
Let b = 41803/550 + -1824/25. Suppose 2*m = 6*m + 64. What is the common denominator of b and ((-89)/m)/(-1) + 0?
176
Find the common denominator of -73/64 and (915/70)/(270/(-105)).
192
Let v(o) = o**3 - 7*o**2 + 8*o - 8. Let w be v(7). Calculate the common denominator of 6/w - 3/(-6) and 408/(-40) - (2 - 2).
40
Let w be 2/5 + 2/(-5). Let c be (-4 + w + 4)/1. What is the common denominator of -74/9 and -2 + 45/4 - c?
36
Let w = -759371 + 8358970/11. Let r = w - 535. Calculate the common denominator of r and 63/5.
55
Suppose 670 = 5*q - 1070. Find the common denominator of q/(-12) + (-1)/(-2) and 41/6.
6
Let z(b) = b**3 - 24*b**2 - 26*b + 61. What is the smallest common multiple of z(25) and 9?
36
Let i = -1229119489367/2504 - -490862406. Let l = -1362186/1565 + 4352/5. Let a = i - l. Calculate the common denominator of a and 5/3.
24
Let i(m) = -9*m + 33. Let l be i(6). Let y = -18 - l. Calculate the smallest common multiple of y and 84.
84
Let y = -1/17011 + -1207763/306198. Calculate the common denominator of y and -77/54.
54
Let k = 7 + -5. Suppose -5*s + k*o = -16, 0*s + 12 = s + 4*o. Calculate the common denominator of (4/14)/(s/62) and -39/5.
35
Let z = 224385/22 + -10204. Calculate the common denominator of z and 4 - (4 + 205/(-30)).
66
Let k(y) = y**3 - 48*y**2 + 353*y - 34. What is the smallest common multiple of 68 and k(39)?
748
Let v = 17 + -19. Calculate the common denominator of -12/7 and (-8)/v + 118/20.
70
Let d = -81656754/7667 + 361843/34. Let c = 86/11 + d. What is the common denominator of -89/14 and c?
574
Let v = 1180 + -67196/57. Calculate the common denominator of -41/9 and v.
171
Suppose -4*h + 5*h = -1659. What is the smallest common multiple of 42 and h/(-147) - -2*(-1)/7?
462
Let d(x) = 151*x**2 + 2*x + 3. Let f be d(-2). Let g = 6620/11 - f. Find the common denominator of g and -73/4.
44
Let g(j) = j**3 - 5*j**2 - 12*j + 60. Calculate the smallest common multiple of g(3) and 2.
6
Let d = -19200499/83 + -629771875/5312. Let q = d + 349895. Let a = q + 1/64. What is the common denominator of a and 7/9?
36
Suppose 4*b + 17*z - 318 = 19*z, 5*b + 3*z - 370 = 0. What is the smallest common multiple of b and 33?
231
Let c = 6 + -12. Let u = c - -50. Suppose 0 = -3*j + m + 8, 10 = 4*j - 4*m - 6. Calculate the lowest common multiple of j and u.
44
Find the common denominator of 20/159 and (-390)/(-72)*(-3)/6.
1272
Let k = 37 - 25. Suppose 324 = -5*p - 4*p. Let y = p - -37. What is the smallest common multiple of y and k?
12
Let x(a) = a**3 - 6*a**2 - 4*a - 22. Let y be x(7). Let l = 7 + y. Calculate the lowest common multiple of l and 1.
6
Let z(o) = o**2 + 2*o - 1. Let r be z(-2). Let v be (2 - 0)*(r + -5). Find the common denominator of -3/11 and -4*(1 - v/(-40)).
55
Find the common denominator of 61/42 and -7 - (2643/(-180) - -5).
420
Calculate the smallest common multiple of (-124)/(-2) + 44/44 and 252.
252
Let f(n) = 287*n + 1. Let d be f(1). Find the common denominator of 15*29/(-108)*2 and 60/d*(-57)/8.
576
What is the common denominator of (-87)/9*9/30 and 1 + (2 - 327/(-18))?
30
Let l(z) = -2*z - 5. Let h be l(-4). Let w(v) = -4*v**2 + 40*v + 8. What is the lowest common multiple of (-44)/h*(-3)/2 and w(10)?
88
Suppose -5*g = 422 - 842. Calculate the smallest common multiple of g and 70.
420
Let u = -729/5 - -23897/165. Find the common denominator of 61/54 and u.
594
Let w = 8293/7656 - -31/174. What is the common denominator of w and 57/2?
88
Let j = -143033/7 - -20533. Let s = j + -5147/42. Find the common denominator of -97/4 and s.
12
Let b = -67 + 77. Calculate the lowest common multiple of b and 35.
70
Suppose -10*s + 550 = 15*s. What is the smallest common multiple of s and 28?
308
Let i(p) = -p**3 + 7*p**2 + 8*p - 8. Let d be i(8). Let z = 10 + d. Suppose f = -z + 12. Calculate the lowest common multiple of f and 2.
10
Let v = -364 - -384. Let n be 5 - (-2)/2*-2. Suppose -n*y + 64 = 4*t, -2*t - y - 3 + 35 = 0. Calculate the least common multiple of t and v.
80
Calculate the common denominator of 5/((-20)/78)*11/33 and 55/4.
4
What is the common denominator of -35/27 and 1 - -3 - 2855/3150*5?
378
Suppose -3*y - 7 = -16. Suppose 2 = -y*c + 38. Calculate the smallest common multiple of 12 and c.
12
Let l(t) = t**2 + 66*t - 1821. Suppose -5*m + 38 = -4*m. Let a = m - 20. What is the least common multiple of a and l(21)?
18
Let p(b) = 2*b**2 + 20*b + 8. Let g(y) = -2*y + 2. What is the smallest common multiple of g(-3) and p(-11)?
120
Suppose -v - 4*v = -130. Suppose -3*f + s - 375 = 0, -5*s - 125 = f - 3*s. Let z = 131 + f. Calculate the least common multiple of z and v.
78
Let q = 2 + -12. Let z = -45 + 55. Calculate the smallest common multiple of ((-12)/q)/(6/20) and z.
20
Suppose a + 45 = -4*m, a + 3*m + 42 = -2*m. Let v = a + 67. Calculate the lowest common multiple of v and 2.
10
Let m = 393 - 371. What is the smallest common multiple of m and 3354?
36894
Calculate the common denominator of -2/165 and 5 + 47 + -50 + 9/5.
165
Let q = -2821 + 25361/9. What is the common denominator of q and (2/((-120)/122))/1?
90
Let z = 1084 + -1059. What is the common denominator of 7/(-4)*(-9)/15 and z?
20
Let i(f) = -105*f + 205. Let t be i(6). Let b be 4101/10 - (-2)/5. Let r = b + t. Calculate the common denominator of r and -103/10.
10
Suppose 4*h - 2660 = -5*v, -5*h - 4*v + 2084 = -1241. Calculate the smallest common multiple of h and 7.
665
Let t = 19 - 21. Calculate the common denominator of (t/(2/(-121)))/(-10) and 19/6*18/42.
70
Let j(t) = t**3 - 14*t**2 - 28*t + 23. Calculate the lowest common multiple of 21 and j(16).
609
Let b(c) = 2*c**3 + 6*c**2 - c**2 - 5*c**2 + 2*c**2 - 1 - 2*c. Let h be b(-3). Let i = -17 - h. What is the smallest common multiple of 12 and i?
84
Let f(g) = -g**2 - 8*g - 5. Calculate the least common multiple of (5/30*-6)/(1/(-8)) and f(-5).
40
Let c = 295 - 226. What is the lowest common multiple of c and 42?
966
What is the common denominator of 70/81 and ((-17)/7)/(12/(-70))?
162
Let g = 12/745 + -14404/154215. Find the common denominator of 53/115 and g.
1035
Suppose -4*u = -12, -5*s = -3*s - 3*u - 5. Calculate the lowest common multiple of s and 159.
1113
What is the least common multiple of (5 - 1) + -5 + 9 + -5 and 11?
33
Let j = 30382 + -1671064/55. Let r = j + 4/5. What is the common denominator of r and 59/3?
33
Let n(g) = -4*g - 21. Let s(w) = 1. Let o(h) = -n(h) - 4*s(h). What is the lowest common multiple of o(4) and 30?
330
Let j = -115589/1680 - -2298/35. Find the common denominator of j and -65/64.
192
Suppose 0 = -2*v + 3*f + 24610, -4*v = -3*f - f - 49216. Let u = 147755/12 - v. Calculate the common denominator of u and 46/5.
60
Let u(f) = -154*f + 1104. Calculate the lowest common multiple of 144 and u(6).
720
Suppose 3*u + 8 = 3*z - 28, 0 = -z + 5*u + 16. Calculate the smallest common multiple of 2 and z.
22
Let x(d) = 3*d - 14. Let q be x(14). What is the common denominator of -61/22 and (-44)/77 + 78/q?
154
Let q(z) = z**3 + 10*z**2 - 96*z + 14. What is the lowest common multiple of q(-16) and 52?
364
What is the common denominator of (4 - (-1108)/(-280))/(18/1545) and 19/8?
56
Let u(w) = -3*w + 54. 