et t(q) = 53*q**2 - 3*q - 4. Let f be (44/(-66))/((8/(-6))/(-2)). Calculate the least common multiple of 10 and t(f).
260
Let s = -2057/7 - -60919/210. Let d = 462587 + -4158157/9. Let l = d - 20681/36. Calculate the common denominator of l and s.
60
Let j = -397341739/21 - -18913375. Let s = -7663 - j. Calculate the common denominator of -103/36 and s.
252
Let y = -23 - -32. Suppose -i + 4*i = y. Suppose 2*v - 9 = i. What is the smallest common multiple of 4 and v?
12
Let z = 68 - 32. Let h(v) = v**3 - 64*v**2 + 700*v + 28. What is the smallest common multiple of z and h(50)?
252
Let z(m) = -m**3 + 8*m**2 + 9*m - 8. Let r be z(9). Let g = 10 + r. Suppose 1 - 15 = -g*y. Calculate the least common multiple of 10 and y.
70
Suppose -829*o + 830*o - 345 = -5*d, 3*d = -4*o + 1482. Calculate the smallest common multiple of 15 and o.
375
Let k(w) be the second derivative of w**3 + 75*w**2/2 - 60*w + 1. What is the least common multiple of k(-12) and 92?
276
Let s(j) = j**3 + 7*j**2 + 2*j - 4. Suppose -3 - 32 = 7*n. What is the least common multiple of s(n) and 66?
396
Calculate the common denominator of (-506)/80 + (-18)/48 and (-4)/(-18) - 479/(-234).
130
What is the common denominator of 155/936 and 8/36 + (-2 - 2551/(-1170))?
4680
Suppose 694*m - 1548 = 565*m. What is the least common multiple of 48 and m?
48
Let i = 19733 - 118507/6. What is the common denominator of 22/849 and i?
1698
Suppose 5*u + 4*z - 4639 = z, -3*u - 5*z + 2777 = 0. Calculate the least common multiple of 4 and u.
3716
Suppose 3*w = -9, -2*k - 14 = -3*k + 4*w. Let n be 11/((-110)/(-24))*15*1. Suppose 26*y = 23*y + n. Calculate the least common multiple of y and k.
12
Suppose -4*p + 49 + 23 = 0. Suppose 5*a + 9 = 19. Suppose 20 = s - b + 3*b, -a*s = -2*b - 70. Calculate the smallest common multiple of s and p.
90
Let k be 4/(-10)*(-180)/(-212796). Let h = -502463/82754 - k. What is the common denominator of -19/88 and h?
616
Calculate the common denominator of 38/595 and 5/(-30) + 1073/3108.
2380
Let y = 6748 + -708559/105. Calculate the common denominator of -47/105 and y.
105
Suppose -5*b - 141 = 4*a, 10*b - 15*b - 140 = 5*a. Find the common denominator of -7/24 and b + 24 - 370/(-48).
24
Let h = -905099/234278 - 3/10649. Let j = -99/2 + 799/16. What is the common denominator of j and h?
176
Suppose 7*g - 8*g - 3 = 0. Let p be (-64458)/(-10992) - g/(-12). Let h = p - -5/458. Find the common denominator of -31/24 and h.
24
Suppose 8*w - 46 + 6 = 0. Calculate the least common multiple of 60 and (-8082)/(-90) - (-1)/w.
180
Suppose -3*f - 4 + 40 = 0. Suppose 0 = -5*r + 11*r + 330. Let z = r + 61. What is the least common multiple of z and f?
12
Let t(d) = 11*d - 542. Calculate the smallest common multiple of 696 and t(58).
2784
Suppose 313*y - 105 = 318*y. Let a = y - -41. What is the lowest common multiple of a and 6?
60
Let u(h) = 13*h - 12. Suppose 21 = 1574*j - 1573*j. Calculate the lowest common multiple of u(6) and j.
462
Suppose 0 = -20*a + 18722 - 6242. Calculate the smallest common multiple of 1664 and a.
4992
Let t be (430/990)/(1 + 1 - 1). Let h = -6/11 + t. What is the common denominator of -19/17 and h?
153
Let g be ((-16)/(-8) + -1)*8. Suppose x - 3*l = -g*l + 61, -2*x = 3*l - 87. Find the common denominator of x and 13/11.
11
Suppose -185*p - 4*m - 947 = -188*p, 0 = -5*m - 25. What is the smallest common multiple of (-3 - -4) + (1 - -1) and p?
309
Let r(j) = -j**3 + 8*j**2 - 12*j - 1. Let o be r(5). Let k(t) = -2*t**2 + 33*t - 26. Calculate the smallest common multiple of 20 and k(o).
220
Suppose 2*q = 7*q + 25. Suppose -3454*s + 3439*s - 3465 = 0. Find the common denominator of 3/q*s/81 and 32/15.
45
Calculate the lowest common multiple of (301/(-7) + 2*-2)/(14/(-14)) and 25.
1175
Let b = 91/158 + 10679/1896. Find the common denominator of (39/(-104))/(2/104*81) and b.
216
Let w(y) = y**2 - 2*y + 3. Let c be w(2). Suppose -c*f = -2*l - 4 + 3, -10 = 2*l. Calculate the smallest common multiple of f*(-6)/(-9) + 3*7 and 9.
171
Let f be (3/22)/(1/22196). Let v = -3031 + f. Calculate the common denominator of (18 + 0)*(-72)/297 and v.
11
Let c be (3 + 2)*1059/15. Let p = 155 - c. What is the common denominator of -64/3 and p/(-24)*52/(-18)?
6
Suppose -2*b = -3*o + 2*o - 26, b + o - 10 = 0. Calculate the least common multiple of b and (-8)/(0 - ((-33)/220 - (-4)/10)).
96
Let i = 53731/7764 - 5/1294. Let b(n) = -2*n**3 + 43*n**2 - 28*n + 30. Let v be b(22). Calculate the common denominator of i and (v/(-50))/((-24)/10).
12
What is the common denominator of 35/20*4 - (1059219/16912)/9 and 54/755?
12080
Let x(b) = -37*b**3 - 2*b**2 - 6*b - 2. Let z be x(-4). Let q = 745981 + -4489939/6. Let c = z + q. Calculate the common denominator of c and -137/6.
6
Let w(j) = 2*j**2 - 18*j + 48. What is the least common multiple of w(4) and 1428?
2856
Calculate the lowest common multiple of 840 and (-49 + 109)*21/2.
2520
Suppose 0 = 111*w - 1021 - 542 - 435. Calculate the least common multiple of w and 5046.
15138
Suppose 40*k - 4677 - 3392 - 891 = 0. What is the lowest common multiple of 96 and k?
672
Let a = 64073 + -4484979/70. What is the common denominator of (12441/(-144))/29 + (-2)/6 and a?
560
Suppose 12 = -4*i + 40. Let f(j) = j**3 - 9*j**2 + 11*j + 25. What is the least common multiple of f(i) and 12?
12
Let k(t) = 3*t - 31. Let r be k(13). Calculate the smallest common multiple of (5/4)/(2/104) and (16/(-4))/r*-4.
130
Suppose 2*s - 14 = 3*r - 2*r, 3*r = 3*s - 21. Suppose -2*j + 77 = 9*j. Calculate the lowest common multiple of s and j.
7
Suppose a = -81 + 83. What is the common denominator of a/(-4) + (-4)/((-3320)/505) and (77/(-5))/(10/25)?
166
Let h be (-8)/(-24) + -1*(-708748)/438. Let v = 791/584 - h. Let b = -1623 - v. What is the common denominator of b and -61/4?
8
What is the lowest common multiple of ((-192)/14)/((-6)/21) and 28?
336
Suppose -23*g + 127 = -7026. Suppose -24 = g*j - 315*j. What is the lowest common multiple of j and 84?
84
Suppose 5*b = -15*i + 6*i + 42, 4*i - b - 9 = 0. Calculate the least common multiple of 1109 and i.
3327
Let n(x) = x**3 + 6*x**2 + x + 8. Let t(j) = -4*j + 10. Let r be t(4). Let g be n(r). What is the common denominator of 41 and 33*(-1)/g*(-10)/36?
12
Find the common denominator of ((-20)/(-24))/(705/(-4747)) and -1/100.
900
Let m(n) = -275*n + 389. What is the least common multiple of m(1) and 9?
342
Let t = -96421949/54 + 10732315/6. Let l = -3128 + t. What is the common denominator of l and 31/27?
27
Calculate the common denominator of 75/16 and ((-26)/130*-30)/((-4160)/58).
1040
Let y = -1348414/319 + 4227. Calculate the common denominator of 97/812 and y.
8932
Let p = -81257/6440 + -6/805. Find the common denominator of p and -20/297.
2376
Calculate the common denominator of 1/((-33)/(-2)) + 0 and (-4)/(-22) + ((-276)/690 - 116/33).
165
Let p = 12 - -2. Let c(a) = 61*a**2 - 9*a - 7. Let k be c(-1). Calculate the common denominator of (-84)/k*39/p and -121/20.
140
Let y = -1/388220 + 2280871/30475270. Calculate the common denominator of 23/4553 and y.
18212
Let h(v) = 2*v**3 - 2*v**2 - 2*v + 3. Let f(z) be the third derivative of z**4/24 + 7*z**3/2 + 16*z**2. What is the lowest common multiple of f(-10) and h(1)?
11
Let z be (678/(-10))/(13/(-65)). Suppose 2*l - z = -3*l + 4*r, -5*l = 5*r - 375. What is the least common multiple of l/4 - 1/(-4) and 8?
72
Suppose 41 - 33 = 4*h. What is the common denominator of 113/18 and ((-2054)/1170)/(h + -3)?
90
Let o be (2/(-6))/(11598/(-1656) + 7). Suppose 3*s = 4*a - o - 0, -3*s = 3*a + 57. Find the common denominator of 41/18 and 381/s + 12/3.
72
Suppose 5*q - 5*i + 352 = -3*i, -5*i - 20 = 0. Let h be 6/20*(-5 + (-24555)/q). Let n = h - 101. Find the common denominator of 79/30 and n.
240
Suppose 133*z - 55*z = 858. Let q(h) = h**3 + 7*h**2 - h - 5. Let t be q(-7). Suppose 0 = c - 9 - t. Calculate the smallest common multiple of z and c.
11
Let f be 3207*-1*(-2)/(-15). Let z = f - -429. Let n = 26205/4 - 6527. Calculate the common denominator of n and z.
20
Let x(d) = -61*d**3 + 17*d**2 + 2*d + 8. What is the lowest common multiple of 80 and x(-2)?
560
Let u = -592938858277/296419144 + -9/5293199. Let v = u + 2002. What is the common denominator of -13/24 and v?
168
What is the 