48 = 78*n - 81*n, 0 = 4*n + p - 196. Calculate the smallest common multiple of 416 and n.
1248
Let d = 120999641/2214 + -18482888033531/15498. Let p = -2003689607029/1680 - d. Let v = -128765 - p. Calculate the common denominator of v and -13/8.
240
Suppose 0 = -d - x - 1, -2*d - 2*x = -3*d - 4. Find the common denominator of 151/108 and ((-93)/128)/(d/8).
864
Suppose 0 = -h - 0*h - 4. Let v be 6/21 - (239048/(-378))/h. Let o = v - -158. Calculate the common denominator of -53/39 and o.
351
Let z(t) = -t**2 + 2. Let q be z(-1). Let f = -61 + 40. Calculate the least common multiple of 6 and (q + -7)*154/f.
132
Suppose -5*l - 4539 = -4*x + 306, x = -2*l + 1195. Let f be 4/(-22) + (x/(-88))/1. Let j = f + 125/8. Find the common denominator of j and 151/12.
12
Let i be 4013 - -3*(2 + -1). Let j = i + -56295/14. What is the common denominator of j and 1*-2 + ((-3770)/(-100))/29?
70
Calculate the common denominator of (-1)/(-28)*-4*791/84 and -131/90.
1260
Suppose -5*n + 81 = -2*i + 34, -n + 13 = -4*i. Suppose 0 = 2*c + c - 63. Suppose n*h = c*h - 12. What is the smallest common multiple of 8 and h?
8
Let c(g) = -11 - g + 6 + 12. Let r be c(-11). Suppose r*l - 90 = 8*l. What is the lowest common multiple of 9 and l?
9
Suppose 6*q = -2*r + 9 + 11, -4*q + r + 25 = 0. Suppose -3*a - 2*s = -4*a, -2*s + 2 = 0. What is the least common multiple of q and a?
10
Let a(g) = 92*g + 1018. Calculate the least common multiple of a(-11) and 138.
138
Suppose -33*p + 1351 = -761. What is the least common multiple of 194 and p?
6208
Let s(v) be the first derivative of v**3/3 + 23*v**2/2 + 20*v - 56. What is the least common multiple of 4 and s(-23)?
20
Let r be (-117)/(-13) - 49019/12. Let u = r - -4083. Let i = 3971 + -142945/36. What is the common denominator of i and u?
36
Let m(v) = -4*v - 15. Let n be m(-3). Calculate the lowest common multiple of n/(3/(-8))*33/33 and 54.
216
Let j(y) = 118*y - 4. Let d be j(3). Let n = -8095/14 + 12608/21. Calculate the common denominator of n and d/(-24) - 2/3.
12
Let a = -13/10 + 67/15. Let h = 870 + -310. Find the common denominator of a and (24/288)/(6/h).
18
Let j(k) = 2*k**2 - 137*k - 2818. Calculate the smallest common multiple of j(89) and 3.
831
Let x = -334502 - -70245257/210. Calculate the common denominator of 1/300 and x.
2100
Let w = -157 - -711. Let d be 0 + -1 - (w/666 - 2). Let m = d + 16427/666. Find the common denominator of -41/12 and m.
12
Calculate the smallest common multiple of (-162172566)/(-4599) - 4/7 and 8.
141048
Calculate the lowest common multiple of ((-29610)/(-60))/((-3)/(-4)) and 47.
658
Let f = 12051 + -11481. Calculate the least common multiple of f and 35.
3990
Let f be (-151502)/(-21232) - (-51 - -6)/9. Let h = f + -14/1327. What is the common denominator of 1/3 + (-164)/186 and h?
248
Let i = 3553 + -21403/6. Suppose -3*q = -5*q - 1248. Find the common denominator of 4532/q - (-4)/(-26) and i.
12
Let a be 1/(2/(-4)*-2) - 5. Let j(r) = -4*r**3 - 2*r**2 - 4*r. Let z be j(a). Suppose -17*o + z = -5*o. Calculate the smallest common multiple of 12 and o.
60
Let n = 179 - 74. Calculate the lowest common multiple of n and (-8)/16 - 1/((-4)/110).
945
Let i = 772 - 764. Find the common denominator of 53/35 and i - (-6)/((-108)/171).
70
Suppose 213503 = 38*b + 135*b - 51187. Calculate the least common multiple of 1224 and b.
6120
Let n = 85 - 80. Calculate the common denominator of -10/9 and (28/42)/(n*(-8)/(-226)).
90
Let t(h) = -h**3 - 11*h**2 + 2*h. Calculate the smallest common multiple of 18*(-8)/126*-7 and t(-12).
120
Suppose 0 = 5*u - 4*n + 10, -2*n + 12 = -0*u + u. Let m = -40 + 70. What is the lowest common multiple of u and 3/(2 - 51/m)?
10
Suppose -2*m - 33 = 5*d, -2*m + 3*d = m + 81. Let y = 9 + m. Let v = y + 33. Calculate the least common multiple of v and 2.
18
Let j = -295 - -298. Suppose 5*p - 4*f - 39 = 0, 2*p + 4*f - j = p. What is the smallest common multiple of 2 and p?
14
Let s = -8641 - -1088813/126. Calculate the common denominator of -167/588 and s.
1764
Let s = 4/5793 - -260633/75309. Let r = -39705560/117 + 339374. Let h = r - s. Find the common denominator of 93/26 and h.
234
Let z = 875995 - 2347666571/2680. What is the common denominator of -18/335 and z?
2680
Let r = 134602 - 134562. What is the smallest common multiple of r and (-5)/(15/8)*-3?
40
What is the common denominator of 343*(-2)/(-210) - (-3)/2 and -29/358?
5370
Calculate the common denominator of 125/144 and (-2625)/(-11232) - (-264)/(-1144)*4/6.
288
Let i(p) = 1896*p + 3. Let t be i(1). Let q be (-1)/2*18/t. Let w = q - 6532/1899. Find the common denominator of -123/10 and w.
90
Suppose 6028 = 32*b - 5492. Calculate the lowest common multiple of 3 and b.
360
Suppose 0 = b - 0*b + b. Let v be (1 - (-2)/1) + b/1. Suppose 5*w - 49 = -v*s, -5*w + 4*s + 28 = -0*s. What is the least common multiple of 9 and w?
72
Let h be 3*(-5 + 190/(-6)). Let q = h - -398. Calculate the least common multiple of 14 and q.
2016
Let u be (69/(-46))/((-6)/(-112)). What is the smallest common multiple of 126/u*(-636)/9 and 2?
318
Calculate the common denominator of -4/465 and 858/(-30)*(-30)/252.
6510
Let l(o) = o**2 - 8*o + 1. Let k be (-10)/5 - (-167 + 1 + 2). Let z = k + -152. Calculate the lowest common multiple of z and l(9).
10
Calculate the common denominator of (-7)/10*600/(-10720) and 95/4.
536
Let a be ((-6)/18)/((-2)/36). Suppose a*r - 8*r = 8. Calculate the lowest common multiple of 172*(2 + 2/r*3) and 18.
774
Let v = -23237 + 836455/36. Find the common denominator of v and 157/(-140) - ((-10)/(-7) - 1).
180
Let x(j) = -18*j - 124. Let y be x(-7). Suppose -y*i - 84 = -30*i. What is the smallest common multiple of i and 33?
33
Let r = -121717 - -263882483/2168. Calculate the common denominator of r and 5/9.
19512
Suppose -634 = 35*b - 3364. Calculate the smallest common multiple of b and 954.
12402
Suppose 0 = 7646*x - 7635*x - 539. What is the lowest common multiple of x and 25?
1225
Let h(b) = -246*b - 114. Calculate the lowest common multiple of 684 and h(-19).
13680
Suppose -5*q + 10 = 2*t - 10, -25 = -3*t - 5*q. Suppose -t*f + 30 = -s, -12 + 34 = f + 3*s. What is the least common multiple of f and 32?
224
Suppose -2*q + 0*i = -2*i - 22, 67 = 5*q - 2*i. Let l(n) = n**3 + 23*n**2 - 372*n - 10. What is the smallest common multiple of q and l(11)?
60
Let h = 6380828/165 - 38672. Find the common denominator of 5/18 and h.
990
Suppose -7 + 16 = 3*a. Suppose 30 = f - a*z - 9, -57 = -2*f - z. Calculate the lowest common multiple of f and 75.
150
Let n(a) = -a**2 + 269*a + 9000. Suppose v = 5*d - 206, 2 - 216 = -5*d - v. Calculate the lowest common multiple of n(-30) and d.
210
Calculate the common denominator of (-1754)/1200 + 4*(-9)/(-96) and 193/210.
1050
Let o = -149498 + 51128281/342. Calculate the common denominator of o and -80/741.
4446
Suppose 375 = -3*j + 4407. Suppose -65*i + j = -57*i. What is the least common multiple of i and 16?
336
Let n be 412371/(8/(-1) + -12). Let p = -20624 - n. Calculate the common denominator of -47/48 and p.
240
Let v = -125 - 24. Let b = 204 + v. Calculate the smallest common multiple of b and 35.
385
Let v = -5884 - -82329/14. Let w = -663 + 701. Calculate the common denominator of 1691/w*(-1)/4 and v.
56
Suppose 2*i - 255 = -l + 469, 4*l - 5*i - 2909 = 0. What is the lowest common multiple of l and 18?
2178
Let x(s) = s**2 - 9. Suppose -3*d = -5*d + 164. What is the lowest common multiple of x(-4) and d?
574
Let w(h) = -11*h - 465. Let f be w(-33). Let p(d) = 14*d**3 + 2*d**2 + d - 2. Let x be p(-2). Let v = f - x. What is the lowest common multiple of v and 10?
30
Let o be ((-2827)/(-3))/((-1)/3). Let p = -11272640 + 349364190/31. Let v = o - p. What is the common denominator of v and -18?
31
Let z = 21015 + -2094. Let n = z - 794639/42. What is the common denominator of n and -107/6?
42
Let t(c) = 2*c**2 - 22*c - 22. Let i be t(12). What is the common denominator of (16 + 5)*4/6 and (-6)/(-5)*(10/(-5))/i?
5
Let o = 86496148/4509 - 19183. Let p = -3172/4509 - o. Calculate the common denominator of -79/36 and p.
108
Let f(y) = 3*y - 68. Let l be f(24). Find the common denominator of (332/(-18) + l)*3/72 and 9/8.
216
Suppose 54806 - 196009 - 44908 = -339*y. What is the least com