Let o be (-1 - 29)/(6/(-4)). Let h be (-5)/o + (-65)/(-4). Suppose 2*b + h = -t + 4*b, 2*t + 29 = 3*b. Find the common denominator of t and -27/4.
4
Let s = -63119/37059 + 7/1123. Calculate the common denominator of s and 38/7.
231
Find the common denominator of 28/(-6)*108/(-16) and -13/2.
2
Suppose 0 = 4*m - 0*s - 5*s - 48, -m + 12 = -2*s. Let b be 6*1*(-16)/(-6). Suppose 16 + b = 4*j. What is the smallest common multiple of j and m?
24
Suppose -4*w - 4*z + 164 = 0, -4 = 5*z - 19. Find the common denominator of w and (-365)/(-77) - (-4)/(-14).
11
Let i(t) = 2*t**3 + 2*t**2 - t. Let r be i(1). Let b = r - -5. Calculate the smallest common multiple of b and 14.
56
Let i(v) = -15*v - 1. Let f = -5 - -4. What is the smallest common multiple of 6 and i(f)?
42
Suppose 0*b + 55 = 5*b. Suppose -18 = 5*i - 38. Suppose d - i*d = -30. What is the smallest common multiple of d and b?
110
Let d(f) = f**2 - 6*f + 2. Let z be d(6). Suppose 3*r = -n + 47, -5*r = z*n - n - 75. Let l = -10 + r. What is the lowest common multiple of 4 and l?
4
Suppose 2*z = -z - 4*b + 1541, 0 = 4*z - 5*b - 2065. Let j = z + -303. Suppose 5*m - 2 = -j. Calculate the common denominator of -85/2 and m.
2
Suppose 4*y - 100 - 48 = 0. Let d = y + -17. Calculate the lowest common multiple of d and 6.
60
Find the common denominator of 26/9 and 4456/(-780) - 2*2/26.
45
Suppose -2*r + 5 = -3*r. Let g be 236/10 + (-2)/r. Suppose -3*a - a = -g. What is the smallest common multiple of a and 14?
42
Let o = -150 - -289/2. Let n = 2002/9 - 7225/36. Calculate the common denominator of o and n.
4
Let h(n) = 24*n**2 - n + 1. Calculate the lowest common multiple of h(1) and 20.
120
Let h(d) = d**3 + 9*d**2 - 4*d - 22. Calculate the least common multiple of h(-9) and 8.
56
Let v(b) = -b + 20. Let r(a) be the first derivative of -a**3/3 + 7*a**2/2 + 4*a + 3. Calculate the smallest common multiple of v(0) and r(4).
80
Find the common denominator of (-10127)/(-7866) - (-2)/(-9) and -1/20.
460
Let a be (21/(-112))/((-1)/106). Let u = 19 - a. What is the common denominator of u and -31/12?
24
Let f = -24309879/10 + 2428447. Let v = 2548 + f. Find the common denominator of v and -101/16.
80
Let w = 199/24 + -73/8. Calculate the common denominator of 65/16 and w.
48
Suppose -4*b + 10 = -2*b. Suppose 0 = -4*x + b*a + 41, -5*a + 43 = 5*x - 3*a. What is the least common multiple of 5 and x?
45
Let s = 11073612/3137 + -3530. Let u = s + -185087/6274. What is the common denominator of -35/11 and u?
22
Let u(o) = -3*o + 26. Calculate the lowest common multiple of 8 and u(8).
8
Let v = 261 + -252. Let k(f) = -2*f - 4. Calculate the lowest common multiple of k(-6) and v.
72
Let k(r) = r - 2. Calculate the lowest common multiple of k(8) and 2.
6
Calculate the common denominator of -1 + ((-157)/8)/(72/(-32)) and 40/33.
198
Let a = -1267/3 + 12463/30. What is the common denominator of 41/(-12) + (-1)/3 and a?
20
Let m = 515/8 + -68. Let f(v) = 14*v**2 + v + 2. Let d be f(2). Let o = -123/2 + d. Find the common denominator of o and m.
8
Suppose 0 = 6*j - 207 - 3. What is the common denominator of 119/24 - (-8)/12 and (-3)/j - (-2)/7?
40
Let o(p) = p**2 - 3*p + 2. Let l be o(4). Suppose 4*i - 7*i + 6 = 0. Calculate the least common multiple of l/2 - 133/(-7) and i.
22
Calculate the common denominator of -17/16 and (-1)/((-3)/(-30))*30/880.
176
Let n(q) = q + 2. Let c(h) = -h - 2. Let t(p) = -4*c(p) - 5*n(p). Let y be t(-2). Let d(m) = m + 10. Calculate the lowest common multiple of 18 and d(y).
90
Let a be 2/4 - (-6)/4. Let r be (-16)/3 - (-8)/6. Calculate the common denominator of 13 - (-1)/(r + a) and 47/8.
8
What is the common denominator of 31/10 and 575/92*(-6)/(-4)?
40
Let z(f) = 7*f - 2. Let u be z(5). Let p be 177/u*(-1)/3. Let l = p + -82/33. Find the common denominator of l and 4.
11
Let h = -9101/1143 + -33/127. Find the common denominator of -33/7 and h.
63
Let n(k) = -k**2 + 9*k + 12. Let w be n(10). Suppose -5*l = -x - 21, -w*l + 15 = l. What is the lowest common multiple of x and 1/4 + 129/12?
44
Let w(h) = h**3 - 3*h**2 - 2*h + 4. Let z be w(3). Let l(p) = p**3 - 3*p**2 + 6*p - 4. Find the common denominator of (-85)/(-35)*(z - -1) and l(4).
7
Suppose 125 + 10 = -5*t. Let j = -23 - t. What is the least common multiple of j and 4?
4
Calculate the lowest common multiple of ((-108)/(-20))/(9/30) and 26.
234
Suppose 0 = -d + l + 7 + 6, -4*l - 12 = 0. Let k(c) = c**2 - 8*c - 6. Calculate the lowest common multiple of 14 and k(d).
14
Let s = -123/43 + 943/946. Calculate the common denominator of s and 177/108 + 3/4.
198
Let s be (1 + 0/(-2))*1289. Let m be (-169)/((-70)/62 - -1). Let l = s - m. What is the common denominator of l and -39/7?
28
Let b be 370/3 + (-4)/(-6). Let w = 362/3 - b. What is the common denominator of -99/10 and w?
30
Let x be (-16)/12*1731/2. Let r = x + 8027/7. Find the common denominator of r and 99/2.
14
Let k = 24133/12 - 2013. Calculate the common denominator of -13/16 and k.
48
Let m = -2230/291 - 1/291. Suppose 0 = 2*v - 0*v - 82. What is the common denominator of m and v?
3
Let a be (0 + -1)*(-1298 - -1). Let l = a - 7757/6. Calculate the common denominator of (-6)/10 - (-3)/(-70) and l.
42
Suppose -4*w + 2*w + 48 = -4*n, 5*w - 50 = 5*n. Let p be 27/(-6)*n/(-3). Calculate the common denominator of 53/10 and p/(-10)*3/(-7).
10
Let f = -4237/168 + 132927065/5270664. Let g = 3796109/376476 - f. Find the common denominator of g and 45/2.
12
Let x(l) = l**2 + 5*l. Let a be x(-4). Let n be (a/6 - 0)*-6. Calculate the least common multiple of (n/(-10))/(1/(-50)) and 12.
60
Calculate the common denominator of -11/100 and (0 - (-309)/30) + 2.
100
Let b = -460031/20 + 22996. Calculate the common denominator of 97/4 and b.
20
Let u be 6/8 - 65/(-20). Suppose -z = -3*a - 16, u*z - 2*a = 37 + 47. What is the least common multiple of z and 6?
66
Let r be (10/(-8))/(2/8). Let y = -1 - r. Calculate the common denominator of (-11)/y*14/21 and 38/3.
6
What is the common denominator of 45/8 and (-1)/(-18)*-53 - (-1)/(-3)?
72
Let c(g) = g + 6811. Let d be c(0). Let b be (55/(-18) + -3)*1126. Let w = d + b. Calculate the common denominator of w and -79/6.
18
Let g = 341/30 + -58/15. What is the common denominator of g and (86/20)/(100/125)?
8
Let a be (-1)/8*2126/5. Let x be (-1530)/(-24) - 4/2. Let f = a + x. Calculate the common denominator of f and -99/8.
40
Suppose 2*x + 1325 = -3*x. Calculate the common denominator of (x/4)/(-5)*1 and 1 - (1 - 64/6).
12
What is the common denominator of (-1)/10*(-654)/12 and 99/38?
380
Let a be -5*(-3 + (3 - 1)). What is the common denominator of 117/(-12)*(1 - -1) and 17/a - 2/(-10)?
10
What is the least common multiple of 10 and (-1 + 7)*12/9?
40
Suppose 30 = 4*m - q - 26, 4*m - 60 = 2*q. Find the common denominator of 10*(-3)/((-84)/(-10)) and m.
7
Let u = -13 - -19. Calculate the smallest common multiple of u and (-129)/(-15) + 4/10.
18
Let o = 35 - 11. Let q = -22 + o. What is the least common multiple of q and 9?
18
Suppose 6*b - 112 = 2*b. Let m = -502 + 8037/16. Find the common denominator of (222/35)/(16/b) and m.
80
Let s be (-4)/14 - 60/(-14). Suppose 2*n + 14 = 2*o, 4*n + 23 = -o + s*o. Suppose 10*x - 12*x + 2 = 0. What is the least common multiple of o and x?
5
Let s = 21 + -1. Let r = 68 - 56. What is the smallest common multiple of r and s?
60
Let l be 0 + 1*26/(-738). Let x = l + 29993/2952. Calculate the common denominator of x and (-279)/(-930) + 122/20.
40
What is the common denominator of (0 - (-9)/24)*-54 and 1/10?
20
Suppose -3*n = -2*w + 17, -w = -2*n + 3*n - 1. Suppose -9 = -5*i + 2*g + 24, 5*g = 4*i - 40. Let a = -3 + i. What is the lowest common multiple of a and w?
4
Let n = -3626795/8 - -670940863/1480. Let v = 27/185 - n. Calculate the common denominator of v and 523/(-24) - (0 - (-18)/48).
30
Let u = 31 - 6. Suppose -2*l - u = d - 4*d, 2*d = 4*l + 14. Let i = 36833/90 + -3614/9. Calculate the common denominator of d and i.
10
Suppose 3*f - d + 2003 = 0, 1482 = -4*f + 4*d - 1178. Let n be (-1)/3 + (-30414)/45. Let i = f - n. Calculate the common denominator of 45/11 and i.
55
Let u = -199/5 - -206/5. Let p be 4*(-3 + (-12)/(-3)). Suppose 2 = p*l - 2. Find the common denominator of u and l.
5
Suppose -8*v + 352 = 3*v. Calculat