 the common denominator of i and 85/54.
216
Suppose 4*f - 40 = 5*x, -3*x - 4*f = -0*f - 8. Let q be (-6)/((x/18)/1). What is the common denominator of 1/10 and (-6)/q + 941/144?
80
Let l = -627/7 - -3137/35. Calculate the common denominator of 24/77 and l.
385
Suppose 11*s - 661 = 571. What is the least common multiple of s and 2?
112
Let k = -430 - -448. Calculate the least common multiple of k and 93.
558
Suppose 0 = -5*v + 7*v - 90. Suppose -v = c - 6*c. Suppose -c = 3*n - 63. What is the smallest common multiple of n and 10?
90
What is the least common multiple of 207 and 4152/138 - (-4)/(-46)?
2070
Let i = -437/592 + -12/37. Let n = -47/144 + i. Calculate the common denominator of n and -56/9.
18
Let z be (-3 - -3)/(3 + -1). Suppose -4*d = -z*d. Suppose 8 = 2*i - d. What is the least common multiple of i and 4?
4
Calculate the smallest common multiple of 40 + -2 + (7 - 11) + 0 and 7.
238
Let f = 12/91 + 2773/364. Find the common denominator of f and 170/28 - (-81)/(-54).
28
What is the smallest common multiple of (-6)/(-7)*(-6552)/(-54) and 52?
104
Let r be 2/8 + (-21)/(-28). Let y(n) be the third derivative of n**6/15 + n**4/24 - n**3/6 + 3*n**2. What is the least common multiple of 16 and y(r)?
16
Calculate the common denominator of 61/34 and 76/342 + -2*1406/1800.
850
Let z = -4/681 - -33413/7491. What is the common denominator of -101/38 and z?
418
Let y = 48/55 + -667/770. What is the common denominator of -107/110 and y?
770
Let c = -235 + 240. Suppose -2*k + k - 12 = -c*z, 3*z - 36 = -3*k. Calculate the least common multiple of (-2)/(-6) - (-141)/9 and k.
16
Let u(k) = 2*k**2 - 10*k + 25. Let a(o) = -3*o**2 + 15*o - 37. Let m(c) = -5*a(c) - 7*u(c). Calculate the smallest common multiple of 1 and m(7).
24
Let n(a) = a**3 - 10*a**2 + 3*a - 27. Calculate the smallest common multiple of n(10) and 11.
33
Suppose 5 = 4*n - 19. Calculate the lowest common multiple of (4/n)/(18/27) and 3.
3
Suppose 7*r + 13968 = 104*r. Calculate the lowest common multiple of r and 72.
144
Let c(s) = -s**2 - 8*s - 5. Let r be c(-7). Suppose -5*k + 4 = r*w - 6, k = -4. What is the common denominator of 42/w*(-50)/(-36) and -47/4?
36
Suppose 4*t - 289 = 707. Find the common denominator of 95/58 and 4 + -2 + 5/90*t.
174
Let k = 371 - 3397/9. Find the common denominator of k and (72/(-608))/((-3)/(-66)).
342
Let f = 310 - 300. Let b be 214/10 - (-4)/(-10). What is the smallest common multiple of 6/b + (-38)/(-14) and f?
30
Let k = -20 - -26. Suppose k*h + 7 = -2*x + 3*h, -3*x = -h - 6. Calculate the least common multiple of 8 and x.
8
Suppose 7*w = 13*w - 240. Calculate the lowest common multiple of 4 and w.
40
Suppose 3*l + 67 = -5*k + 63, 0 = -4*k - 20. What is the lowest common multiple of (-20)/(-6)*18/15 and l?
28
Suppose -5*x + 0*x + 230 = 0. Calculate the least common multiple of x and (42/(-77))/((-7)/77).
138
Let b be 0 + 1 - (0 - 1). Suppose -f + 91 - 25 = -4*j, 2*j + 2*f + 28 = 0. Calculate the common denominator of 49/22 and b/j + (-281)/152.
418
Let i = 28786195/222 - 129667. What is the common denominator of i and 47/8?
888
Let t = 1369 - 1362. What is the lowest common multiple of 268 and t?
1876
Let t(h) = h**3 + 7*h**2 + 5*h + 8. Let k be (-16)/(-48) + 14/(-6). Calculate the smallest common multiple of t(-6) and 172/8 - (-3)/k.
140
Find the common denominator of 4/9 and 3 + 1 - 6072/2016.
252
Suppose 0 = -4*b - 13 + 33. Calculate the smallest common multiple of 4/(-10) + 112/b and 4.
44
Let m = 584 - 1157. Let w = -92226 + 366627/4. Let f = w - m. Find the common denominator of f and -41/14.
28
Let p be (-44)/(1/40 + 0). Let q = p - -14151/8. Calculate the common denominator of -83/36 and q.
72
Suppose 3*d - 3*m - 93 = -2*d, 0 = -d + 3*m + 21. Suppose -5*j + 555 = 5*t, -5*t + 576 = 5*j - 7*t. What is the smallest common multiple of d and j?
342
Suppose 0 = -5*b - 2*z + 9465, z = 2*z. Let t = -11411/6 + b. Let v = -647/342 - -18/19. Find the common denominator of v and t.
18
What is the least common multiple of 4 and (-6 - (-24)/(-16))/((-4)/24)?
180
Let v(a) = 2*a**3 + 20*a**2 + a - 20. Let m(c) = -c**3 + c**2 - 1. Let f(p) = -m(p) - v(p). What is the smallest common multiple of 10 and f(-21)?
210
Suppose -167*h - 168 = -171*h. What is the least common multiple of 14 and h?
42
Let z be (96/80)/((-6)/(-20)). Suppose -12 = -f + z*f. What is the lowest common multiple of 7 + -3 + f - -15 and 5?
15
Let q = 22 - 16. Suppose 5*k + q = -24. What is the lowest common multiple of 4 and ((-45)/k - 3)*2?
36
Let y be 10/(-3)*(-84)/5. Suppose y = 4*r + 2*z, 3*r + 2*r + 2*z - 72 = 0. Calculate the least common multiple of 28 and r.
112
What is the common denominator of (-2742)/1092 - 4/(-26) and (316/(-72) - 4) + 5?
126
Let w(i) = 6*i**3 - i**2 - 2*i + 5. Let k be w(-3). What is the lowest common multiple of (-1)/(2*5/k) and 2?
16
Let q = 715/26228 - 2/83. Let p = -645/4108 + q. Calculate the common denominator of 25/6 and p.
78
Let f(o) = -3*o + 566. What is the lowest common multiple of f(-13) and 385?
4235
Let t(g) = -g + 18. Let h(z) = -z**2 - 6*z + 4. Let l be h(-4). Calculate the least common multiple of t(l) and 8.
24
Let h = -154981/27630 - 3/1535. What is the common denominator of h and ((-5)/(-33))/((-6)/(-30))?
198
Suppose -2*i + 8 + 6 = -3*y, 0 = i - 3*y - 13. Find the common denominator of 62/15 and (66/(-64) + i)/(6/(-968)).
120
Let f = 2535/32 + -293791/288. Let b = 940 + f. Find the common denominator of b and -23/6.
18
Let p(g) = -2*g**3 + 3*g**2 - 1. Let a be p(1). Suppose -2*x + x + 10 = a. What is the smallest common multiple of 18 and x?
90
What is the lowest common multiple of -2*7/14 - (1 - 12) and (-9*-1*1)/1?
90
Let b(n) = n**2 + 40*n + 23. Let h be b(-31). Find the common denominator of -77/15 and h/44*1/(-6)*1.
165
Let h = 43899/32 - 1372. Find the common denominator of -31/32 and h.
32
Let f be (-4)/53254*(-27)/(-12). Let p = 195681841/106508 + f. Let d = p - 1819. Calculate the common denominator of -45/16 and d.
16
Let x(b) = 25*b**3 + 2*b**2. Let a be x(2). Suppose -2*z + 233 = 3*z + 4*p, -4*p - a = -4*z. What is the common denominator of z and -32/31?
31
What is the lowest common multiple of 1*(11 - (2 + 2)) and 14?
14
Let l = -52/9 - -71/45. Find the common denominator of l and -109/6.
30
Let t be (-2588695)/(-48)*4/120410. Let u = t + 1/12041. Calculate the common denominator of -70/9 and u.
72
Let k = 24/13 + -202/39. Find the common denominator of k and (7 - 0/(9/3)) + (-14200)/2160.
54
Let q = 46 + -45. Let f(a) = 10*a**3 - 2*a + 2. Calculate the smallest common multiple of 5 and f(q).
10
Let o be (-11 + (0 - 3))/(-2). Calculate the smallest common multiple of (o - -1)/((-2)/(-19)) and 14.
532
Calculate the common denominator of (9577/4082)/(-1 + 9) and -15/91.
1456
Let q be -1 - 4 - (-4)/(-1). Calculate the smallest common multiple of 9 and ((-87)/q - 3) + 1/3.
63
Let h be (27/(-2))/((-3)/(-6)). Let v = h + 23. What is the common denominator of (89/(-3) - v)/(-2) and 52/9?
18
Let c(h) = -h**2 - 7*h - 6. Let t be (-1 - 2) + (-54)/3. Calculate the lowest common multiple of (-3)/(((-2)/(-8))/(7/t)) and c(-4).
12
Let i be (-44)/(3 - 2 - 3). Let u = 26 - i. Calculate the lowest common multiple of u and 8.
8
Let m(u) = u**3 - 3*u**2 + 8*u - 21. Calculate the lowest common multiple of m(4) and 30.
270
Let l = 20 - 11. Let g(o) = -o**3 + 11*o**2 + 14*o + 6. What is the smallest common multiple of g(12) and l?
90
Let z = -14442 + 7085. Let v = z + 117653/16. Find the common denominator of v and (-267)/6 + (-1 - 0 - 0).
16
Suppose -13 = -k + 4*h, 2*k - 20 = 5*h + 9. Let y(u) = -3*u**3 - 2*u**2 - 2*u + 2. What is the smallest common multiple of k - 2*(-1)/(-2)*1 and y(-2)?
176
Let t = -9 - -11. Let v be t*(2 - (-94)/(-4)). What is the common denominator of -35/2 and 4 - -3*v/60?
20
Suppose 0*a - 2*a + p = 113, a = 4*p - 60. Let k(q) = -q + 4. What is the least common multiple of 4/(-6) + a/(-3) and k(-4)?
72
Let l be ((-1 - 3) + (0 - -2))*467. What is the common denominator of -33/16 and 22/(-121) - l/176?
16
Let p = 8765/4 + -2178. Find the common denominator of (-3)/(-4) - 56/6 and p.
12
Let j = 9871/226 - 20/113. What is the common denominator of (-294)/(-885)*(-380)/(-304) and j?
118
Let a = -30/1247 + 4575/2494. Find the 