0 = -3*q + q + 4. Suppose -p = q*c - 20, 3*c - g = c. Calculate the least common multiple of p and 24.
168
Let t = 3605391 + -4406937921727/1222319. Let n = 859638943/334915406 + t. Let h = 30/137 + n. Find the common denominator of h and -27/14.
14
Let m = 27 - 24. Suppose 0 = -m*k + 9 - 0. Calculate the smallest common multiple of k and 19.
57
Let z = -46961/14 + 3361. Find the common denominator of z and -97/20.
140
Suppose 4*r + 28663 = -61713. Let v = r - -1400799/62. Find the common denominator of 97/12 and v.
372
Let k = -2/25199 - 428303/1007960. Find the common denominator of k and (-309)/(-216) - 2/9.
120
Calculate the lowest common multiple of (-8)/(-36) + (-7 - 4448/(-72)) and 70.
770
Let g(y) = -27*y**3 + 2*y**2 - 1. What is the least common multiple of g(-1) and 224?
224
Suppose -30 = 2*c + 2*i, -2*i + 16 = -c - 2. What is the common denominator of (3/c)/((-27)/549) and 717/378 + 4/(-14)?
144
Suppose -218*n = -216*n - 54. What is the common denominator of n and -69/28?
28
Suppose 2*m = 2*w - 2255 + 12403, 3*w - 5*m = -15218. Let u = w - -60827/12. Find the common denominator of u and 99/2.
12
Let w be -1*2 + -2 - -1. Find the common denominator of -2 + (57/11)/w and 23/(299/130) - 115/(-60).
132
Let b = 27 + 10. Let k = 68372044/101835 + -5/20367. Let s = k + -679. Calculate the common denominator of b and s.
5
Let k be 2 + -53957 + 1 - -3. Let r be (-2)/(-4) + k/22. Let c = r + 2455. Find the common denominator of c and -99/4.
44
Let t be 1 + 3624/(-20) + (2 - 1). Let g = -7889/45 - t. What is the common denominator of -67/15 and g?
45
Let p(m) = 2*m - 12. Suppose h - 2*h + 10 = 0. Let s(d) = d + 6. Calculate the lowest common multiple of s(10) and p(h).
16
Let i be 2/1 + (-185953)/(-29716). Let p = -3/391 + i. Let m = -20957/88 - -2720/11. Calculate the common denominator of m and p.
8
Let t = -24407/840 - -1038/35. Calculate the common denominator of -17/126 and t.
504
Suppose -3*t + 4*h + 696 = 0, -5*t = -t - 3*h - 935. What is the smallest common multiple of t and 20?
1180
Find the common denominator of -5 - (722/(-56) - 4/(-28)) - -3 and (-5)/(-26)*(-42)/10.
52
Let s = 9 - 7. Suppose 22 = -2*a + j, s*a - 5*j + 24 + 14 = 0. Calculate the common denominator of 29/18 and ((-81)/6)/(a/33).
18
Calculate the common denominator of -47/78 and (-2)/10*8/(1040/(-375)).
78
Let t(y) be the third derivative of y**6/120 - y**5/20 - y**4/6 + 2*y**3/3 - 2*y**2. Let i be t(4). What is the lowest common multiple of (-2 + 9/i)*4 and 14?
14
Let f be (1 - 9/5)/(1/(-25)). Suppose 0 = -3*d + 13 - 1. Calculate the smallest common multiple of d and (8/f)/(3/90).
12
Let z(d) = -d**3 + 9*d**2 + 9*d + 10. Let k be z(10). Suppose -2*v + k*v = -3440. Let n = v - 24099/14. Find the common denominator of n and -85/8.
56
Let j(o) = -o**3 - 2*o**2 - 3*o - 2. What is the smallest common multiple of (-3)/(-2*12/8) and j(-2)?
4
Let x(g) = g**3 - 5*g**2 - g + 3. Let k be x(5). Let q(u) = u**3 + 4*u**2. Let a(z) = z**3 + z**2 - z + 10. What is the lowest common multiple of a(0) and q(k)?
40
Let k = -66 - -17. Let u = k + 52. What is the least common multiple of u and 11?
33
Let n = 7 - 4. Suppose -95 = -5*q + 2*h, n*q - 4*h - 1 = 2*q. Suppose 9 + q = 5*f. What is the lowest common multiple of f and 2?
6
Let s = 1 - -2. Suppose 58 - 4 = s*o. Suppose -1 = -u + 24*k - 23*k, 5*k - 5 = 0. What is the smallest common multiple of o and u?
18
Suppose -14 = -5*l + 3*o, -l - o - 4 = -10. Let y = -20 - -7. Let c = -4 - y. What is the smallest common multiple of l and c?
36
Suppose 0 = 4*o - 2*o. Suppose -3*z - 2*a = -6*a - 26, 4*z + 5*a + 17 = o. Suppose -z*b + 12 = -2*n, -4*b + 5 = -7. Find the common denominator of n and 45/7.
7
Let n(m) = m**3 + 6*m**2 + 5*m + 4. Let u be n(-5). Let w = -8126 - -113661/14. Find the common denominator of 4/18*35/u and w.
126
Let z = 10 + -4. Suppose 11*j = 89 + 43. Calculate the lowest common multiple of (0 - -4)*9/z and j.
12
Suppose x + x + 58 = 2*l, -4*l + 17 = -x. What is the lowest common multiple of 2/6*(0 - x) and 2?
22
Calculate the smallest common multiple of (-11 + (12 - 7))*5*-4 and 80.
240
Let z = -15 + 23. Suppose k + 5*g - z - 17 = 0, -16 = -k - 2*g. Let n(b) = -b**3 + 4*b**2 + b - 2. Calculate the smallest common multiple of k and n(4).
10
Let w be (9/(-6))/((-3)/72). Find the common denominator of -46/3 and 74/(-3) + (w/8 - 5).
6
Let k be ((-10)/275)/(6/(-10)). Let y = 1679/66 + k. Find the common denominator of y and 23/26.
26
Let b = 9881 + -316139/32. Find the common denominator of -71/36 and b.
288
Suppose -6*m + 23 = -283. Calculate the lowest common multiple of m and 108.
1836
Let i(o) = 13*o - 37. Let t(f) = 7*f - 19. Let j(c) = 6*i(c) - 11*t(c). Suppose -15 - 15 = -2*h. Calculate the lowest common multiple of 2 and j(h).
2
Let w(a) = -3*a - 92. What is the lowest common multiple of 88 and w(-34)?
440
Let j be (2 - -1 - 2)*-19. Let f = 57 + j. Suppose 0 = -5*t + 12 + f. What is the least common multiple of 14 and t?
70
Suppose -8*t + 23 = k - 3*t, 3*t = 2*k - 20. Calculate the smallest common multiple of 117 and k.
117
Let v = 747/29 + -138565/5394. What is the common denominator of -77/6 and v?
186
Let l = -653/1692 + -20/141. What is the common denominator of l and 85/48?
144
Let p be 598/(-6) + (-14)/42. Calculate the common denominator of 101/2 and -4 + (-365)/p + -4.
20
Let r(v) = 2*v - 9*v**3 + 11*v**3 + 4*v**2 - 2*v + 4 + 2*v. Let q be r(-3). Calculate the lowest common multiple of 5/(q/(-24)) - -2 and 9.
72
Let q be (-9)/2*(-52)/39. Calculate the common denominator of 45/8 and 130/(-14)*(-7)/q.
24
Let t = 6261 + -194048/31. Calculate the common denominator of 4/6 + 1064/105 and t.
155
Suppose 2*c = 6*t - 2*t - 82, -3*t = -5*c - 65. Let x be -3 + (-6)/(-2) - 2. What is the lowest common multiple of 924/91 - x/(-13) and t?
20
Let b(f) = f**2 - 7. Let l = -4 + 9. Let g be b(l). What is the common denominator of ((-2)/7)/(g/(-207)) and -95/4?
28
Let m(c) = c**2 - c + 2. Let t(q) = -q**2 - 2*q + 13. Let r be t(3). What is the least common multiple of 6 and m(r)?
24
Find the common denominator of (-1360)/270*((-7)/(-2) - 2) and -31/16.
144
Let m be ((-3372)/(-586))/3 + -2. Let u = -5/270549928 - -219083954525/79271128904. Let y = u + m. Calculate the common denominator of -35/8 and y.
88
Suppose -2*b + b = -3. Suppose 2*t - 13 = b. Calculate the least common multiple of t and 10.
40
Let l be 2*1/(-7) - 15684/(-55384). Let k = 39078/4945 + l. Calculate the common denominator of 47/4 and k.
20
Let d = -8821/1460 - -14/73. Calculate the common denominator of d and -27/46.
460
Let l be (-3)/(18/(-3)) + (-2601)/18. Calculate the common denominator of -43/33 and (0 - -2)/(-2) - 798/l.
264
Let j = 3/2288 + 21721/11440. Let h = -8/179 - 1181/1611. Find the common denominator of h and j.
90
Let a be (-245)/5*(2 - 1). Let d = a - -89. Suppose -x = -2*j + d, 0*j - 46 = x + j. What is the common denominator of 63/4 and x?
4
Suppose 4*j = -2*k + 18, j = 5*k - 0*k - 12. Calculate the common denominator of 9/16 and -17*3/(-42) + j + 2.
112
Suppose -16*z + 12*z + 72 = 0. Calculate the lowest common multiple of z and 320.
2880
Let t = -340 - -400. Calculate the smallest common multiple of 4 and t.
60
Find the common denominator of -17/7 and (-1)/3*295/20.
84
Let t be (54/(-45))/(6/(-40)). Let w = t + -5. Suppose w*x - 26 = 4*i, 0*i = x + 5*i + 4. What is the lowest common multiple of x and 6?
6
Let m = -11679/8 + 1471. What is the common denominator of (-12)/(-54) + 1714/(-180) and m?
40
Let t = -45 + 87. Suppose -7*y + 10 = -32. What is the lowest common multiple of y and t?
42
Let v be (-27)/21 + (-6)/(-63)*3. What is the least common multiple of 7 and (-22)/v*(-2)/(-4)?
77
Suppose 3*i - 5*y + 14 = -8, 4*i - 3*y + 22 = 0. Let h = -12/121 + -7055/847. What is the common denominator of 2/i*35/(-28) and h?
56
Calculate the least common multiple of 324 and 252*-4*(-30)/140.
648
Let p be 2 + 0 - 324/(-24). Let r = 15 - p. Find the common denominator of r and ((-3)/8)/((-63)/1484).
6
Let c be -3 + 1 - (-582)/(-40). Let z = c - -101/4. Let l = 6180 + -49357/8. What is the common denominator of l and z?
40
Let t(p) = p**2 - 5*p - 4. Let k be t(5). Let n = k - -7. Calculate the least common multiple of ((-2)/(-6))/(n/9) and 7.
7
Le