24
Let z(a) = -26*a - 305. Calculate the least common multiple of 469 and z(-12).
469
Calculate the common denominator of (-15267)/2968 + (-2)/6*-15 and 101/4.
424
Let l = 77134 - 108836080/1411. Let z = l + -38019/18343. Find the common denominator of z and 3.
13
Let t = 59 - 334/5. Calculate the common denominator of -5 + 6 + (-99)/12 and t.
20
What is the common denominator of -81/20 and -5 - 1/((-20)/305)?
20
Suppose -5*d - 6 = -6*d. Let s = d + 0. Suppose 1 = v - 2*v + 2*o, 0 = -2*v + 5*o - 6. Calculate the smallest common multiple of v and s.
42
Let t(j) = 3*j + 1. Let b(z) = 4*z + 2. Let r(x) = -5*b(x) + 4*t(x). Let k be (-2)/3*(-27)/(-6). What is the lowest common multiple of 8 and r(k)?
72
Let f = 1/964 - 5311/8676. What is the common denominator of f and -37/108?
108
Let x = 41 - 31. What is the lowest common multiple of 6/x + (-22)/(-55) and 11?
11
Let x = -501 + 1785. Suppose 2*r + 4*a + x = 6*a, -3*r = -2*a + 1925. Let d = r + 6507/10. Find the common denominator of d and 91/12.
60
Let k = 1178/7 + -7775/42. Find the common denominator of 3 + (-738)/(-24)*-1 + 6 and k.
12
What is the common denominator of (-8 - 612/(-80))*6 and 31/4?
20
Let t = 768 + -572. Calculate the smallest common multiple of 126 and t.
1764
Let y = -13/5 - -496/185. Let z = 827/296 + y. Find the common denominator of z and 75/16.
16
Let v(t) be the third derivative of t**5/60 + t**4/12 - 7*t**3/6 - 6*t**2. Calculate the smallest common multiple of 8 and v(-4).
8
Let p = 12 + -5. Suppose -4*z + p*z = 774. Calculate the common denominator of z/4*1/(-3) and -17/4.
4
Let b be 1/4 - 4116/(-48). Suppose 5*v - 82 = -a, 2*a + b = 5*v + 10. Calculate the smallest common multiple of 6 and v.
48
Suppose -u - 3*i + 10 = 0, 20*u - 22*u - 5*i + 18 = 0. Suppose -2*p = -4*b + p + 7, 4*b - 31 = -5*p. What is the smallest common multiple of b and u?
4
Suppose -66*f + 365 = -63*f - w, 2*f = 3*w + 255. What is the smallest common multiple of f and 4?
120
Suppose -14*f = f - 450. Calculate the smallest common multiple of f and 72.
360
Suppose l = 5*g - 3*l + 281, 3 = -3*l. Let n be g*(-2)/3*1. Suppose -4*b = -3*d + n, -3*d + 2*d - 4*b = 14. What is the lowest common multiple of 20 and d?
60
Let k = 1202/15 - 4529/55. Find the common denominator of k and -59/12.
132
Let p = -1572 - 1601. Let m = 53913/17 + p. What is the common denominator of m and -45/8?
136
Suppose u + 47 = 12. Calculate the common denominator of (-141)/(-50)*(-15)/(-18) and ((-415)/(-2) - 0)*1/u.
140
Let l = 7221/5140 - 489220321/159340. Let o = l - -3069. Calculate the common denominator of o and 79/22.
682
Let n(h) = 6*h**2 - 2 - 7*h**2 - 5 - 7*h. Let z be n(-5). Suppose 2 = z*v - 4. Calculate the lowest common multiple of v and 12.
12
Find the common denominator of 23/(23/(-2)) + 241/99 and -107/18.
198
Suppose -10*h = -6*h. Let a(m) = m**2 - 4. Let x be a(h). Calculate the lowest common multiple of 12 and (1 + x)*6/(-9).
12
Let w = 2191/82863 - 5/243. Let d = 7169/1364 - w. Calculate the common denominator of d and (-4)/6*(-333)/60.
20
Suppose -19*d + 1159 = -1121. Calculate the lowest common multiple of 20 and d.
120
Let k(p) = -p**2 + 9*p + 14. What is the least common multiple of 288 and k(6)?
288
Suppose -153*g = -144*g - 180. What is the smallest common multiple of 100 and g?
100
Suppose -4*n - 2*n - 426 = 0. Let l = 81 + n. What is the smallest common multiple of l and 192?
960
Let a(u) = u**2 - u - 3. Let t be a(-2). Calculate the lowest common multiple of t/(-2) - (-66)/12 and 14.
28
Let g be ((-4)/(-6))/(8/348). Let k = g + -25. Suppose k*l = 2*c - 68, 2*l - 126 = -4*c - 10. Calculate the smallest common multiple of c and 22.
330
Let i = 77842/9 - 8645. Let x = -41/416 + 7663/1248. What is the common denominator of i and x?
72
Let z(q) = q**2 - q. Let w = 24143 - 24126. What is the least common multiple of w and z(-1)?
34
Suppose -6*o - 7 = -5*o. Let c(d) = -d + 4. Let b(y) = -y**3 + 11*y**2 - 20*y + 27. What is the lowest common multiple of c(o) and b(9)?
99
Calculate the common denominator of -19/135 and -1 + ((-1412)/(-390) - 3).
1755
Let b(i) = 7*i + 679. What is the lowest common multiple of b(-40) and 24?
3192
What is the common denominator of -113/108 and 2275/(-126)*(-2)/30?
108
Let g(q) = 8*q**2 - 125*q - 837. Calculate the lowest common multiple of g(-7) and 43.
430
What is the least common multiple of 32/(-48)*3 + 1*126 and 32?
992
Let b = 0 + 9. Suppose -162 = -26*t + 8*t. Calculate the least common multiple of b and t.
9
Suppose -4*r + 0*r = -58004. Let t = 839 + r. Let z = t + -214667/14. What is the common denominator of z and -109/12?
84
Suppose 103 = -7*s + 173. What is the smallest common multiple of s and 70?
70
Let g = -787055142 - -25288081716391/32130. Let d = -2/16065 + g. Find the common denominator of d and -12/11.
990
Let x = -6 - -16. What is the least common multiple of (-1 + (-4)/(-2))/1 and x?
10
Suppose -17 - 13 = -2*g. Let p(y) = -23*y**2 + 551*y + 35. What is the lowest common multiple of p(24) and g?
165
Let d(w) = -w**3 + 13*w**2 - 11*w - 5. Let n be (0 + -1)/(3/(-6)). Suppose -i + n*i = 2. Calculate the smallest common multiple of d(12) and i.
14
Let p = 22/369 + 23027/3690. Let o = 11/126 + -4391/504. What is the common denominator of p and o?
40
Let n be (29242/333 + 0)*(-2)/24. Let m = 218/37 + n. Find the common denominator of m and -5/4.
108
Let z = 1118 - 767. Calculate the lowest common multiple of z and 117.
351
Suppose 5*k - z = 46, 4*k + 14*z - 13*z = 44. What is the least common multiple of 40 and k?
40
Calculate the common denominator of (-158)/(-5 + 0 + 1) and -49/346.
346
What is the smallest common multiple of ((-6)/4)/3*4 - -8 and 196?
588
Find the common denominator of -69 + 69 - 1/((-15)/39) and (73/1)/(2*4).
40
Suppose -2*i + 4*i = 36. Let b be i/2 - (0 - 3). Calculate the least common multiple of 14 and ((-27)/b - -3)*24.
126
Let f(x) = x**3 - 9*x**2 + x + 21. Calculate the lowest common multiple of f(9) and 62.
930
Suppose 0 = s - 0 - 1. Let c = 3 + 0. Let t = c - s. What is the smallest common multiple of t and 20?
20
Let q = -629 - -929. Find the common denominator of 362*5/(0 + q) and 29/27.
270
Calculate the common denominator of ((-198)/5445)/((-1)/(-85)) and 33/289.
3179
Suppose -3*s = -79*p + 82*p - 1083, -5*p + 5*s = -1795. What is the lowest common multiple of 135 and p?
1080
Suppose 4*m - 96 = 2*m. Let p(h) = h**2 - 32*h + 33. Calculate the lowest common multiple of p(31) and m.
48
Suppose -142 = -5*k + 143. Calculate the smallest common multiple of k and 30.
570
Let o = 12021/14 + -2284249/2660. Find the common denominator of 143/18 and o.
3420
What is the common denominator of 97/105 and (-20)/(-16)*-4 + (-153)/(-20)?
420
Let n = 365 + -231. What is the lowest common multiple of 10 and n?
670
Let q(u) = -u**2 - 1 + 5 + 6*u - 2. Let n be q(6). Suppose n*t = -3*t + 20. Calculate the least common multiple of t and 4.
4
Suppose -15*g = -12*g - 5*v - 32, 0 = -v - 4. Calculate the lowest common multiple of g and 74.
148
Calculate the common denominator of -9/17 and ((-357)/(-18) - -4)*-1.
102
Let b = 9887 - 18717. Let p = 4625 + b. Let i = p + 58917/14. Find the common denominator of -11/4 and i.
28
Let b = 29121383/204 - 142751. Let r = 3/68 - b. Calculate the common denominator of r and 26 - 30 - (-173)/14.
42
Let w be (-3 + (-1 - -3))*-3. Suppose 2*v = -w*v - 50. Let a = v - -16. Calculate the lowest common multiple of 8 and a.
24
Suppose -5*i = n + 17, -2*i - 3*i + 7 = 4*n. Let k be (-1)/4 + 50/n. Let a = k + 2. Calculate the lowest common multiple of a and 20.
40
Suppose -3*g + 43 = -62. Suppose -4*d = d - g. Calculate the lowest common multiple of d and 1.
7
Let d be ((-2420)/(-9) + -2)*15/(-20). Let r = 207 + d. Calculate the common denominator of -15/7 and r.
42
Let k(x) = 3*x**2 + 55*x - 8. Calculate the least common multiple of 120 and k(-20).
2760
Find the common denominator of (-265)/(-10) - (7 + -4) and ((-15)/72)/(3/116).
18
Suppose 0 = 17*m - 337 - 20. Suppose -5*f = 5, -2*d + f + 99 = 38. What is the smallest common multiple of m and d?
210
Let c = -32099/94284 - -81/388. Find the common denominator of -79/39 and c.
3159
Let z = -21 + 22. Suppose -3*x - 5*a + 6 = z, -25 = 5*a. Calculate the least common multiple of