10
Let l be ((-66)/(-15))/(38/10). Let d = -1/459 - 12203/87210. Let x = d - l. Calculate the common denominator of x and 143/18.
90
Let c be 3/212*14/78*2. Let o = c - 5685/2756. Find the common denominator of 131/36 and o.
468
Suppose 0*v + 2703 = 53*v. Let q = 23 + v. Calculate the smallest common multiple of 30 and q.
1110
Let x = -623818692275/5128 - -121649510. Let i = x - 9631765/1338408. Let p = i + 1/261. Find the common denominator of p and -49/30.
30
Suppose 18 = -3*s + 4*s. Suppose 0 = -s*l + 9*l + 144. Let t = -18 - -54. Calculate the lowest common multiple of l and t.
144
Let n = 16713 + -16674. Let y = 26 + -47. Let c = y + n. Calculate the least common multiple of 10 and c.
90
Let q = 12845705/36 + -356827. Find the common denominator of ((-1)/55)/((-2)/35) and q.
396
Suppose -2*t + 3*w + 186 = 0, w = -2*t - 28 + 230. Calculate the least common multiple of (-45)/((-2)/6*t/22) and (-22)/(-6)*(-3 - -12).
330
Find the common denominator of 43/170 and (-2*1/52)/((-845)/(-338)).
2210
Let z(u) = u**3 - 11*u**2 - 27*u + 15. Let r be z(13). Suppose 0 = -2*h - 3*h - r*p + 96, 60 = 3*h + 2*p. What is the smallest common multiple of h and 69?
414
Let o(r) = -23*r - 17*r - 12 + 33*r + r**2. Let x be o(9). Calculate the common denominator of -7/5 and (-25)/8*8/x.
30
Let z = -117805 + 16492799/140. What is the common denominator of z and 113/830?
11620
Let v be (4/(-7))/(4/(-14)). Let r(l) = l**3 + 2*l - 16 - 9*l**v - 17*l**2 + 0*l**3. Calculate the least common multiple of r(26) and 14.
252
Let s(m) = 15*m + 149. Let p be s(5). Let w = p - -54. What is the smallest common multiple of w and 2?
278
Let u be ((-20)/30)/(2 - (-44)/(-21)). Let m(i) = 2*i - 5. Let v be m(u). What is the common denominator of (58/v)/(1*12/(-18)) and 25/18?
18
Let t(a) = 2*a - 6. Let q be t(5). Suppose q*f - d - 93 = 0, -37 = -3*f + 3*d + 44. Suppose -21*s = -3083 + 2705. What is the least common multiple of f and s?
198
Suppose 87 = 7*z + 31. Suppose -3*s - 5 = -131. What is the smallest common multiple of s and z?
168
Suppose 517*n = 525*n - 96. Suppose -4 = -3*g + 2*g. Suppose -g*a + 0*a + 144 = 0. Calculate the smallest common multiple of n and a.
36
Let u be 5 - (-46)/(-10) - 318/(-5). Suppose u = 5*r - 61. Suppose r + 65 = 5*v. Calculate the lowest common multiple of 314 and v.
2826
Let v = -10 - -16. Suppose -51*i - 4*y = -50*i - 26, -2*i - 2*y = -22. What is the lowest common multiple of v and i?
6
What is the least common multiple of 13 - 1299309/(-495) - 4/(-30) and 2?
2638
What is the common denominator of (-16)/(-24) - (1 + (-244)/(-186)) and 1*(8/12 + -3)?
93
Suppose -5*q = -4*l - q + 1404, l = 3*q + 361. Suppose 3 = -2*s + 11, -3*w = 4*s - l. Calculate the lowest common multiple of w and 1.
110
Let y(p) = 25*p - 138. Let t be y(16). What is the common denominator of -71/2 and 6 + t/20 - 8?
10
Suppose c + 11 + 21 = 3*b, -8 = -b - c. Suppose 43*s - 4620 = b*s. Calculate the least common multiple of s and 70.
140
Suppose -10*a - 17 = -127. Let k(u) = -u**3 + 8*u**2 + 7*u - 46. Calculate the smallest common multiple of a and k(8).
110
Suppose 5*l + 3 = 4*l, -2*l = x - 241. Let z = -235 + x. What is the least common multiple of 40 and z?
120
Let n = 1992/7 + -15285/56. Let k be 24617/30 - (-4)/12. Let h = -820 + k. Find the common denominator of h and n.
40
Let t = 20181/2152 + -3/1076. Let y = -1569805/18 - -87211. Calculate the common denominator of y and t.
72
Let z(f) = f + 1. Let j(o) = 8*o + 42. Let c(u) = j(u) - 5*z(u). Suppose 3*n = 6, 32*y - 13 = 35*y + 4*n. Calculate the lowest common multiple of 36 and c(y).
144
Let y(b) = -2*b**3 + 31*b**2 - 11*b + 80. What is the least common multiple of y(11) and 2096?
2096
Suppose 0 = -5*o - 10*g + 5*g + 500, 0 = 5*o - 4*g - 500. Calculate the common denominator of (1 + 74/(-28))/(o/400) and 0/(-1) + (-111)/(-15).
35
Let x(d) be the third derivative of d**6/120 + 11*d**5/60 + 3*d**4/4 - 2*d**3 + 184*d**2. Calculate the least common multiple of x(-8) and 48.
144
Let z = 19 + -148. What is the smallest common multiple of 4/(z/(-32) + -4) and 16?
128
Suppose -5*w - 5*u + 5445 = 1950, 3*w + 22*u - 2002 = 0. What is the lowest common multiple of 208 and w?
9152
Suppose 18 + 2 = 4*g. Suppose g*r + l = -13, 4 = 2*r - l + 6*l. What is the common denominator of 3/r - (-711)/(-144) and -31/10?
80
Suppose -2 = -2*h - 4*q + 12, -2*q = -4. Let z = 14 - h. Let v(x) = -2*x - 17. Calculate the lowest common multiple of z and v(-10).
33
Let o = -52035/11 - -4734. Let l = 178 + -268. Calculate the common denominator of l/(-22) - (-4)/22 and o.
11
Suppose 3*o + a = 1467, -a + 2445 = -6*o + 11*o. What is the smallest common multiple of o and 9?
1467
What is the common denominator of (-12287)/1584 + 2 + 9 + -3 and -169/840?
5040
Let y(i) = -14*i + 460. Let t be y(38). Calculate the common denominator of 23/60 and (t/60 - -1)*(-106)/58.
1740
Let g be (30/(-2))/(-5) + 2. What is the least common multiple of 39 and 0 + g - (2 - 0)?
39
Let j(q) = -2*q**3 - 49*q**2 - 303*q - 15. Calculate the smallest common multiple of 7 and j(-12).
21
Let b(l) = -l**3 + 8*l**2 + 2. Let v be b(8). Suppose -2*c + v*z = -6, 0 = -3*c + 5*z + 4 - 5. Calculate the smallest common multiple of c and 14.
56
Suppose 3*j = -j - 46344. Let r be (-8341660)/720 + ((-1)/3 - -1). Let u = r - j. Find the common denominator of u and -34/3.
36
What is the lowest common multiple of 84 and -19 + (-13 - -168) - 10?
252
Calculate the lowest common multiple of ((21 - 13) + -2)*10/3 and 856.
4280
Calculate the common denominator of 43/56 and (-2460)/24108*(-105)/2.
56
Let r(s) = s**3 - 14*s**2 - 18*s + 43. Let w be r(15). Let y be (-9 - -11) + w + -1*2. Let m(c) = 2*c + 6. Calculate the lowest common multiple of 9 and m(y).
18
Let m = 130675/42 - 9353/3. Calculate the common denominator of 69/112 and m.
112
Let a = 12014/7 - 119783/70. What is the common denominator of a and -40/183?
1830
Let s = -322 + 328. What is the lowest common multiple of s and (-1 + -1)*(-2 - 318)?
1920
Let a = 5485 + -356548/65. Find the common denominator of -73/585 and a.
585
Let b(d) be the first derivative of d**4/4 - 2*d**3/3 - 2*d**2 - d - 11. Let p be b(3). What is the common denominator of p + (-1785)/(-260) + -2 and -42/5?
260
Suppose -4*z + 249 = -191. What is the common denominator of -2/3 and 7 + z/(-28) + 1/(-2)?
21
Let b = 3332 + -13241/4. Find the common denominator of 2592/1512*462/64 and b.
8
Let j be (1/5)/((-2)/(-170)). Suppose -i + 73 + j = 0. Suppose -42*m + 48*m - i = 0. Calculate the lowest common multiple of m and 20.
60
Let p = -2288 + 2285. Suppose 5*z - 5*o = -0*o - 190, 4*z + 180 = -3*o. Find the common denominator of (p/z)/((-9)/321) and -131/6.
42
Let c = -5264912 - -21163653/4. Let f = 1409217/52 - c. Let y = 1101 - f. What is the common denominator of 31/6 and y?
78
Let p = 6671/2 - 196840/59. Find the common denominator of 2*((-196)/(-80) - 4) and p.
590
Let k be ((-22)/6 - (-13 + 10))*-3. Suppose -k*p + 9435 = 3*p. Calculate the common denominator of p/(-108) + 4/18 and -45/8.
8
Find the common denominator of -107/308 and (8355/(-420) - -20)/((-9)/690).
308
Let n = -4955 + 4980. What is the smallest common multiple of n and 110?
550
Suppose 138 = 4*n + 11*d, -n - 2*d = 1 - 31. Calculate the least common multiple of 999 and n.
1998
Let x = 105539 - 1899671/18. Calculate the common denominator of 2/(-2)*50/(-28) and x.
126
Let g be 608/302 + -6 + 4. Let f = g + -1375/1208. What is the common denominator of -7/31 and f?
248
Let o be -5 - ((-18)/6 + -2). What is the common denominator of -5 + o + 1085/120 and -123/10?
120
Let k(w) = 190*w + 276. What is the lowest common multiple of 774 and k(-1)?
774
Suppose 4*g + 5*x - 26 = 0, g - 3*x + 3 - 1 = 0. Suppose -2*p + 28 = 4*j, p + 118 = -5*j + 138. Calculate the smallest common multiple of g and p.
20
Suppose 26*q = 29*q - 132. Let h = -159 + 203. Calculate the least common multiple of q and h.
44
Suppose -5*s + 1714 = g, 3*g + 4*s = -837 + 6045. What is the least common multiple of g and 96?
10464
Let k = -460447/419976 + -5/5833. Calculate the common denominator of -2 - -5 - (-65)/90 and k.
72
Let k = -325661/69488 - 4/4343. Calculate the common denominator of k and 43/1128.
2256
Calculate the least common multipl