e 0 = r*d - 7*d - 7. Let p = d + 9. What is the least common multiple of 1 and p?
2
What is the common denominator of 44/9 and ((-3)/(-10))/(31/(-341))?
90
Let u(x) = -4*x + 4. Let c be u(5). Let s = c - -18. Suppose q + s*q - 57 = 3*k, 0 = -q - 3*k + 15. Calculate the smallest common multiple of q and 6.
18
Let l(x) = -85*x**2 + 2*x + 9. Let p be l(-4). Let s = p + 778. Let n = -12759/22 - s. What is the common denominator of 13/4 and n?
44
Suppose 63 = 2*f + 3*h, -4*f + f + 88 = -2*h. Calculate the least common multiple of f and 30.
30
Let u = -3761/43 + 365935/473. Let o = u - 135281/198. What is the common denominator of o and ((-202)/(-5))/(9 - 1)?
180
Let h(u) be the second derivative of u**3/6 + 11*u**2/2 + 31*u. Calculate the lowest common multiple of h(-9) and 6.
6
Let y(g) = -6*g + 1. Let k be y(-4). Let p = k - 3. What is the lowest common multiple of p and ((-4)/6)/(3/(-54))?
132
Let n = -7/3895 + -182603/257070. What is the common denominator of n and -41/111?
2442
Suppose 0 = -2*t - h + 95, 5*h + 245 = 6*t - t. What is the smallest common multiple of t and 8?
48
Let y = -4645/2869 + 14/151. Find the common denominator of y and ((-6)/4)/(6/(-184)).
19
Suppose -3*o - 5*a + 7*a + 19 = 0, 5*a = -4*o + 56. What is the lowest common multiple of 51 and o?
153
Suppose 0 = -o + 5*g + 10, -3*o - g - 2 = -0. Let k(t) = t**3 + t**2 + t + 3. What is the least common multiple of 2 and k(o)?
6
Let h = 10097/6 + -1691. Let n = 4549 - 45551/10. What is the common denominator of n and h?
30
Let f = -30 - -46. What is the common denominator of (-14)/(4*f/12) and (46/24)/((-15)/9)?
40
Let u = -9849 + 137967/14. Find the common denominator of u and -27/560.
560
Let b be 49*(-4 + 3/(-3)). What is the common denominator of -41/6 and (-3)/(-21)*b/(-6)?
6
Suppose -10 + 22 = n. Let v = -24 + 16. Calculate the least common multiple of n and -1*2 - (v + 2).
12
Suppose 10*b - 1982 = 1718. What is the lowest common multiple of 20 and b?
740
Let p = -175509/40120 + -2/5015. Let x = 86555 + -374696593/4329. Let s = 428575/8658 - x. Find the common denominator of p and s.
8
Let c = 241/79 - 29603/8927. Let h = -8641/226 + c. Let t = -1/609 + 29851/6090. Calculate the common denominator of h and t.
10
Let b be (-1)/2 + 3/6. Let r be (-10 - -13) + (1 - b). Suppose -2*c + r = -8. What is the lowest common multiple of 3 and c?
6
Let x = 2/11649 + -267997/407715. Calculate the common denominator of 2/55 and x.
385
Let x = 35/11 + -62/11. Calculate the common denominator of -17/121 and x.
121
Let f(s) = 2*s - 62 - 4*s - s + 55. Let h = -6 - 0. Calculate the lowest common multiple of 9 and f(h).
99
Let g = 755 - 1457/2. Find the common denominator of -45/86 and g.
86
Let h = 833/176 - 1/22. Find the common denominator of h and -55/18.
144
Suppose -d + 0 = -5*o - 23, 31 = 5*d + 3*o. Calculate the lowest common multiple of d and 20.
40
Suppose 0 = 2*a - 6*o + o - 44, -4*a + o + 88 = 0. Suppose -19*g = -a*g + 246. What is the least common multiple of 8 and g?
328
Let o = -4462520/3 + 71606363/48. Let d = o + -4295. What is the common denominator of d and 59/9*(-33)/(-44)?
48
Suppose -5*c + 21 = -59. Suppose 129 = -3*v + 693. Suppose 4*j + v = 2*w + 2*w, 4*w + 2*j - 182 = 0. Calculate the least common multiple of c and w.
368
Let s(f) = -5 + 4*f + 2 - 9 - 6. What is the lowest common multiple of s(8) and 6?
42
Let a be (-27)/(-6)*(-12)/(-9). Suppose 5*u = 4*o + a*u - 17, -u + 1 = 0. Suppose 67*f = 71*f - 80. What is the least common multiple of o and f?
20
Let x be (-3)/10*(-2354)/(-9735)*8. Let s = x + 72/59. Find the common denominator of 39/7 and s.
175
Suppose -510 = 12*p - 9*p. Let c be (1*p - 1) + 3. What is the common denominator of (-3)/12 + 678/c and -71/6?
42
Suppose -28495 = -5*f + 12030. Let t = -697021/86 + f. Find the common denominator of 93/8 and t.
344
Let v = -24269/22 + 1103. Calculate the common denominator of v and (15/2)/(6/(-34)).
22
Suppose -23*d = -19*d - 36. Calculate the smallest common multiple of 177 and d.
531
Suppose -2*b + 2*t = -40, -2*b = -5*b + 5*t + 50. Find the common denominator of 113/20 and (-185)/12*(-5)/b.
60
Suppose 4*m - 113 - 43 = 0. Let k = -1 - m. Calculate the lowest common multiple of 18 and (-4 - k/12)*-12.
72
Let p = -4 - -5. Let c(q) = -232*q + 2. Let f be c(p). Calculate the common denominator of -115/12 and f/(-16) - 2*1.
24
Suppose -479*u + 485*u = 180. Calculate the lowest common multiple of u and 150.
150
What is the common denominator of ((-48)/(-3528))/((-4)/82) and 79/12?
588
Let p(j) = -j + 11. Let d be p(7). Suppose 4*s = 2*a - 0*s - d, -3*a = 5*s - 39. What is the smallest common multiple of a and 16?
16
Let d(f) = -5*f + 43. What is the lowest common multiple of d(3) and 9?
252
Let y = 111248 + -22917175/206. Calculate the common denominator of -31/2 and y.
206
Let d(w) = -2*w**3 + 24*w**2 + 32*w + 9. Calculate the smallest common multiple of d(13) and 75.
2175
What is the common denominator of 7/((-1512)/(-906)) + (-6)/9 and 16/21?
252
Let o = -4 - -7. Calculate the least common multiple of (576/(-168))/((18/21)/(-3)) and o.
12
Let w = 1/20 + 69/20. What is the common denominator of w and -33/388?
388
Suppose 0 = -2*i + i + 111. Let q = -55 + i. Calculate the lowest common multiple of 36 and q.
504
Suppose -5 = 5*l - 10*l. Let c(g) = -g**3 + 4*g**2 + 6*g + 1. What is the lowest common multiple of 9 - 4*l/4 and c(5)?
24
Let z be (9 + 10)/(28/(-10)). Let i = 729/28 + z. What is the common denominator of 0 - 109/(-10) - 0 and i?
20
Let y be 48/(-170)*(46 + -2). Let s be ((-200)/34 - 0)*27/(-18). Let o = y + s. What is the common denominator of o and 63/4?
20
Suppose 2*p + 22 = 6*p + v, -18 = -2*p + 3*v. What is the lowest common multiple of p and 42?
42
Suppose -12*w - 257 = 55. Suppose -5*p + 160 + 70 = 0. Let u = w + p. Calculate the least common multiple of 8 and u.
40
Suppose 5*r = -7*n + 9*n - 34, -2*r = n + 1. Suppose -5*a - 25 = 0, 2*i = 2*a - 5 + 3. Let f = -2 - i. What is the least common multiple of n and f?
28
Let r = -11 - -11. Suppose -a - 2*a - 48 = r. Calculate the common denominator of 33/8 and -2 - (-4 - 127/a).
16
Find the common denominator of -1 - 3 - (-19830)/5180 and 101/2.
518
What is the least common multiple of (4 - 2)*-1 - (-27 - -9) and 22?
176
Suppose 65*y - 33*y = 64. Calculate the smallest common multiple of y and (-1 - 0)/((-2)/10).
10
Let n = -732453733/816 - -897615. Calculate the common denominator of n and 53/4.
816
Suppose -h + 16 = 2*v, 3*v = -5*h + 4*v + 80. Suppose 7*x = -5*t + 4*x + 1, 15 = 3*t - 3*x. What is the lowest common multiple of t and h?
16
Suppose -3*c + 48 = -5*q, 0 = 2*q + 3*q - 2*c + 47. Let j = -3 - q. What is the lowest common multiple of j and 4/10 + 54/15?
12
Calculate the common denominator of ((-435)/(-10))/1*(-8)/54 and -59/33.
99
Let c = 19 - 3. Let y = -1571 + 1581. What is the least common multiple of c and y?
80
What is the common denominator of -89/240 and (-9)/27*(9/4 - 3)?
240
Let g = -99 - -89. What is the smallest common multiple of 22 and (-2)/(-3)*(-105)/g?
154
Suppose 0 = 6*z + 3*z - 486. Suppose -10*u = -u - z. What is the least common multiple of 39 and u?
78
Find the common denominator of ((-12)/90)/(16/335) and -107/24.
24
Let y = 19263667/10 + -1924151. Let c = 6652/3 - y. Calculate the common denominator of -1/24 and c.
120
Let r = 4815 + -96357/20. What is the common denominator of r and -43/60?
60
Calculate the common denominator of -81/206 and (-9 + 3 + -3)/(20/7).
2060
Suppose -44*i + 46*i - 12 = 0. Calculate the least common multiple of i and (22/(-4))/(3/(-6)).
66
Let p = 1443/2 - 47687/66. Calculate the common denominator of -62/9 and p.
99
Suppose 3*o = 16 - 1. Suppose -t = -5*b + 2 + 2, o*b - 5*t = 0. Calculate the least common multiple of (-4)/10 + (-104)/(-10) and b.
10
Find the common denominator of 24/47 and 246/(-28) - (-18)/36.
329
Let t(m) = -m + 30 - 15 + 3*m. Let j be t(-11). Let i = 4 - j. What is the smallest common multiple of i and 7?
77
Let y(m) = -18*m**3 - m**2 + m + 2. Calculate the least common multiple of 398 and y(-1).
3582
Suppose 5*z + 25 = 2*u, u + 20 = -3*z - z. Let w(q) = -q**2 - 4*q + 16. Calculate the lowest common multiple of w(u) and 6.
48
Let t = 298 - 278. Calculate the smallest common mult