f = -p - r + 4, -2*f = p - 8. Calculate the least common multiple of 8 and p.
24
Let n = 35 + -24. Suppose -p = -3*a - 18, 0 = -4*p - 5*a + n + 27. What is the lowest common multiple of 30 and p?
60
Calculate the common denominator of 17/18 and (111/(-74))/(181/3).
3258
Let p = -24 + 28. Let k(j) = -j**3 + 3*j**2 + 5*j - 2. What is the least common multiple of k(p) and 2?
2
Let t = -66658/673 + 468656339/4733882. Let q = 83133569/10551 + t. Let z = -7904 + q. What is the common denominator of z and -52/9?
18
Let o(k) = 19*k - 2. Let r be o(2). Let j = -32 + r. Calculate the least common multiple of (-12)/(-9) + 1/(-3) and j.
4
Let u(h) = h**2 + 6*h + 3. Let w be u(-5). Let r be 1 + 1 + w + 443. Let m = -4863/11 + r. What is the common denominator of m and -50/9?
99
What is the common denominator of -109/78 and 4/(-6) + (-52)/(-54)?
702
Suppose 2*p - a - 29 = 0, -4*p - 12*a + 79 = -7*a. Calculate the smallest common multiple of 8 and p.
16
Let a = 670 - 18693/28. Calculate the common denominator of -111/80 and a.
560
Let r = -4 + 7. Let k = -2 + r. Suppose 0 = -4*l - 4*c + 16 + 8, 4*c = -8. What is the lowest common multiple of k and l?
8
Let x = 31 - 34. Calculate the lowest common multiple of (-2)/x - (-14)/6 and 14.
42
Let b(c) = 24*c**2 - c - 2. Let s be b(-1). Suppose -s = -3*i - 4*z, -4*i + 8 = -i + z. Calculate the least common multiple of 11 and -1*1*(-11 + i).
110
What is the common denominator of 188/55*11*(-8)/(-1408) and -3/16?
880
Let s = 2/2049 - 18481/40980. Find the common denominator of s and -53/24.
120
What is the common denominator of -12/7 and (-352)/(-5544)*(-39)/(-5)?
105
Suppose 8 = 4*i - n + 5*n, 0 = -3*i + 2*n + 16. Suppose -i*a - 1012 = -k - k, -3*a = -4*k + 764. Find the common denominator of 69/14 and 469/a + 2/(-9).
84
Suppose y - 41 - 237 = 0. Let t = 69 + -39. Calculate the common denominator of y/48*(-40)/t and -151/12.
36
Let l be -3 + 5 + 1026823836970/(-93859213488). Let c = 105878/1649199 + l. Let s = -3/3557 - c. Find the common denominator of s and -13/2.
8
Let n = 760016 + -129955124/171. Let s = -5/342 + n. Calculate the common denominator of s and 9/10.
10
Let j = -46 - -46. What is the least common multiple of 4 + j + -5 - 1*-23 and 10?
110
Let f = 8752 + -192507/22. What is the common denominator of -27/110 and f?
110
Let q(v) = 22*v**2 - 14*v - 1. What is the smallest common multiple of q(2) and 1?
59
What is the lowest common multiple of 0 - (2/(-3))/(36/1944) and 152?
1368
Let n be (4 + 0)*(-3)/(-4). Suppose 0 = w + n*w - 48. What is the least common multiple of 4 and w?
12
Suppose 2*i + 58 = 4*i + 3*f, -5*i + 3*f = -166. What is the least common multiple of 16 and i?
32
Let m = 69690213/121 + -575957. Let q = m + 12/121. Calculate the common denominator of ((-32)/(-15))/((-4)/6) and q.
55
Let p(r) = 12*r**2 + 2*r + 1. Let f be -4 + 17 + 2 + 2. Let a = f + -15. What is the lowest common multiple of p(-1) and a?
22
Let d(k) = k + 2. Let g be d(-2). What is the lowest common multiple of 4 + -3 - -3 - g and 8?
8
Suppose 23 + 63 = -2*z + 4*p, -4*z = -3*p + 182. Let x = z - -62. What is the least common multiple of x and 12?
60
Suppose 181 + 116 = -3*d. Find the common denominator of (-9)/(-2)*d/459 - 1 and (29/(-3))/(16/3).
272
Let o = 35776/3 - 5723881/480. Calculate the common denominator of o and 89/100.
800
Let t = 9/313 + 5141/6260. Let d = 398/39 - 33050/273. Let q = d + 9571/84. What is the common denominator of t and q?
60
Let u(m) = 2*m**2 - m - 9. Suppose 4*g + 0*l = -2*l + 22, -4*g = -5*l - 29. Calculate the smallest common multiple of u(3) and g.
6
Let n be -62*(-1 + 0)*(1 + 0). Suppose 3*z - 220 = -4*k, 5*z = 5*k - 248 - n. Calculate the lowest common multiple of 22 and k.
638
Let c(h) = -h - 3. What is the least common multiple of ((-12)/8)/(1 - (-6)/(-4)) and c(-5)?
6
Suppose -5*f = l - 26, 7 = 5*l - 5*f - 3. Suppose 5*u + 3*o + 17 = -66, -77 = 5*u - 3*o. Let q = 26 + u. Calculate the smallest common multiple of q and l.
30
Let g = 9 + -3. Suppose -30 = 27*q - 33*q. Calculate the lowest common multiple of g and q.
30
Suppose 0 = 2*p + 2*s - 54, -s = -4*p - 0 + 93. Calculate the common denominator of 35/8 and 1 + 1 + 0 + (-164)/p.
24
Suppose -6*q = -880 - 5510. What is the common denominator of ((-2)/25)/(24/q) and 1 + (-46)/56 + -1?
140
Let m = -3168 - -57055/18. Calculate the common denominator of -85/42 and m.
126
Let g(a) = -a**3 - 6*a**2 - 6*a - 4. Suppose 0*r = -3*q + 2*r + 43, r = q - 14. Suppose 2 = -13*t + q. Calculate the lowest common multiple of t and g(-5).
1
Suppose -g - 407 = -5*n + 205, -3*n + 358 = 4*g. What is the least common multiple of 1 and n?
122
Let f = 1873/13 - 210101/1456. What is the common denominator of f and -79/12?
336
Let i = 317 - 254. Calculate the least common multiple of i and 54.
378
Let s(z) = -z**3 - 5*z**2 + 5*z - 3. Let y be s(6). Let f = 19660/3 + -6535. Find the common denominator of f and y/48*2/3.
24
Let r be 1/(-3) + (-1721667)/(-5068683). Let g = -8/2043 + r. Let m = g + 11560/7443. Calculate the common denominator of 22/3 and m.
9
Suppose 53 = 31*w - 9. What is the least common multiple of w and ((-32)/12)/(1/(-3))?
8
Let k(x) = -2*x**2 - 18*x + 15. What is the least common multiple of 165 and k(-9)?
165
Find the common denominator of 53/14 and (1/2)/(15/((-1665)/6)).
28
Suppose -26*h + 23*h = 3. Find the common denominator of 49/12 and h/(-3)*(-1 - (-23)/3).
36
Let t = -71 + 80. What is the smallest common multiple of 60 and t?
180
Let w = 185563/85450 - 54/1709. Calculate the common denominator of 38/145 and w.
1450
Let s = 6/253 + 373/759. What is the common denominator of -6*(-64)/(-396)*-2 and s?
33
Let f be (4/(-64)*-8)/((-6)/(-1604)). Let o = f - 139. What is the common denominator of o and -29/2?
6
Let u = 5/1726 - -50867/17260. Let f = -4615 - -64641/14. Calculate the common denominator of u and f.
140
Let n(a) = 2*a + 60. What is the least common multiple of n(-9) and 2?
42
Suppose 3*b = 5*o + 40, 2*b = -0*b - 2*o + 48. What is the lowest common multiple of b/8*(-24)/(-20) and 7?
21
Let q = 17393/24 + -725. Find the common denominator of -7/54 and q.
216
Let w be -1*1 + 8/(-4). Let c be (48/(-28))/((-2)/(-21)). Find the common denominator of ((-58)/c + w)*-20 and 83/6.
18
Let q = -802 - -820. Calculate the smallest common multiple of 90 and q.
90
Let n = -228 + -24. What is the common denominator of ((-7)/(n/(-296)))/1 and 57/10?
90
Let y = 5156 - 443453/86. Find the common denominator of y and -75/14.
602
Find the common denominator of (-93)/84*-18*7/42 and -43/7.
28
Suppose 6*z - 4*z + 831 = 3*v, -3*z - 284 = -v. What is the smallest common multiple of 99 and v?
2475
Suppose 0 = 2*h - 20 - 10. Suppose -5*u + 0*u + h = 0. Suppose 3*g - 8*x + 4*x = 37, -u*x - 36 = -3*g. Calculate the lowest common multiple of g and 8.
88
Let x = 136369/17532 - 1/1948. What is the common denominator of x and -119/12?
36
Let j be -2*5/20 + 138/(-20). Let g = j - 1/10. Let r = 87911/10 - 8801. What is the common denominator of r and g?
10
Let z = 122147/22 + -5548. Let j be ((-3)/4)/((-2)/(-39752)). Let l = j - -208585/14. Find the common denominator of z and l.
154
Calculate the lowest common multiple of (3/30*10)/((-1)/(-8)) and 3.
24
Let v(u) = u**3 - 12*u**2 + 2*u - 2. Let j be v(6). Let q = 3/4577 - 398223/36616. Find the common denominator of q and (-4)/(-12) + j/96.
16
Suppose -38 = -5*p + 3*p. Let w = p + -17. Suppose f = w*f - h - 27, 5*f = h + 155. Calculate the least common multiple of 4 and f.
32
Suppose g = 2*t - 13, -23 = -2*t + 3*g - 0. Suppose -4 = -t*m, -5*w + 18 = 4*m + 4. What is the lowest common multiple of 20 and w?
20
Suppose -25*h = 13 - 38. Calculate the least common multiple of 21 and h.
21
Let s = -1598 + 4864/3. Find the common denominator of 0 + 0 - (-146)/(-30) and s.
15
Suppose 0 = 3*y - 25 + 1. Let g = -122 + 128. What is the smallest common multiple of y and g?
24
Let d be ((-5)/((-450)/3455))/134. Let p = d + 5/67. Calculate the common denominator of 62/15 and p.
180
Let q = -24463/28980 + -1/3220. Calculate the common denominator of -29/27 and q.
135
Let j(o) = o**3 + 5*o**2 + 2*o - 4. Let k be 88/(-24) - (-2)/(-6). Calculate the least common multiple of j(k) and 44.
44
Let i be 68/(-24) - -3 - (-1918)/12. Supp