
Let i be 19*28383/(-78) - 3. Let p = -6914 - i. Find the common denominator of p and (63/60)/(-7) - 3.
260
Suppose 0 = 2*t - 5*m - 30, 10 = -3*t - 2*m + 36. Let v = 20 - t. Suppose -5*p + 105 = 5*j, 2*j = 2*p - p - 12. Calculate the lowest common multiple of v and p.
90
Let f = 3539 + -106181/30. What is the common denominator of f and 35/18?
90
Let m(q) = 3*q - 12. Suppose 2*h = 7*h + 3*c + 1, -c = -h + 3. Calculate the smallest common multiple of h and m(7).
9
Let b(d) = -2*d**3 + d**2 + d. Let g be b(-1). Suppose w = 5*t - 11, g*w - 2*t + 2 = w. What is the least common multiple of 13 and w?
52
Let q(y) = 26*y**2 - 62*y + 63. What is the lowest common multiple of 54 and q(1)?
54
Let g = 15 - -58. What is the least common multiple of g and 54/6*4/18*1?
146
What is the least common multiple of 84 and (-30)/21*(-4 - (6 - 3))?
420
Suppose -5 = -0*v + 5*v. Let p(f) = -9*f**3 - f. Calculate the smallest common multiple of (-5 + (-108)/(-20))/((-2)/(-100)) and p(v).
20
Let m = -46 + 28. Find the common denominator of ((-6)/20)/(774/(-3741)) and ((-7)/m)/((-2)/10).
180
Let f(w) = -2*w - 5. Let z(d) = 2*d**3 - d + 4. Let k be z(-3). Let u = k + 51. Calculate the smallest common multiple of u and f(-5).
20
Let l be (-9)/3 + (159 - -1) - 3. Suppose l = 8*d - 22. Calculate the least common multiple of d and 8.
88
Suppose -k = 4 - 12. Let m(n) = n**2 - 7*n + 2. What is the least common multiple of m(k) and 4?
20
Let r = -3686377/870 - -21188/5. What is the common denominator of -91/90 and r?
2610
Let z = 65091/20 - 3253. What is the common denominator of ((-21)/(-35))/3 + 1309/(-2720) and z?
160
What is the smallest common multiple of 55 and (-69 + 68)/(1/(-55)*1)?
55
Let p = 4606 - 138319/30. Find the common denominator of p and -103/10.
30
Let a = 340 + -265. What is the lowest common multiple of a and 10?
150
Let p = -5 + -19. Calculate the common denominator of (-10)/40 + (-482)/p and 65/9.
18
Suppose 5*r - 9 - 31 = 0. Suppose -5*m - 25 = -4*d, 2 = 3*m - 7. Calculate the least common multiple of d and r.
40
Suppose 10*o = -13*o + 92. What is the lowest common multiple of o and 2?
4
Let y(g) = -g**3 - 4*g**2 - 2*g. Let h be y(-3). What is the common denominator of 2580/(-72) - 1/h and 17/8?
8
What is the least common multiple of 6 and (((-9)/2)/3)/((-882)/2352)?
12
Let m = -7 - -9. Let n be m/5 + (-2094358)/770. Let l = n + 2723. Find the common denominator of -3/7 and l.
77
Calculate the lowest common multiple of (77/14 - 6)*-52 and 8.
104
Let g = -14 + 38. Suppose m - 30 = 6*m + 5*h, -h - g = 4*m. Calculate the common denominator of 47/(-24) - (-4)/m and 15/2.
8
Let z = 22/6459 + -121491/60284. Let x = -615163/20 + 30752. What is the common denominator of z and x?
420
Suppose 609 = 5*t + 14. Let d be -5 + 6 + (-2062)/t. Let l = -2/357 + d. Calculate the common denominator of l and -14/5.
15
Let j = 271 - 47. Let u = j - 488. What is the common denominator of u/63 - 4/6 and -29?
7
Let h(u) be the first derivative of u**4/4 - 4*u**3/3 - u**2/2 - 10*u + 7. What is the lowest common multiple of 1 and h(5)?
10
Suppose -1 = -a - 2*u, a - 2 = -a - 2*u. Calculate the least common multiple of 3 and a - 1 - (-5 - -2).
3
Suppose -52*p = 11*p - 1764. What is the lowest common multiple of p and 14?
28
Let a be -1*(-6)/(-9)*-6 - 1. Suppose -3*h + 24 = a*d, 3*d = 5*h - 7 - 9. Calculate the smallest common multiple of 10 and d.
30
Let f = 10389/670 + -2/335. Let b = f - 4. What is the common denominator of 59/25 and b?
50
Suppose 0*z - 3*z + 122 = -g, 4*g = -2*z + 72. Let m = -34 + z. What is the smallest common multiple of 21 and m?
42
Find the common denominator of 95/246 and 4 - (((-4455)/(-6))/9)/9.
246
Find the common denominator of (-44)/814 + 5890/3552 and -17/39.
624
Let d(f) = 16*f + 20. Let c be d(-6). What is the common denominator of -103/210 and c/(-15)*3/(-8)?
210
Suppose 0 = k - 13 + 14. Find the common denominator of -85/2 and -1 + 2 - (-279)/(-24)*k.
8
Let d be (84/(-14))/((-4)/(-22)). Let f = d + 47. Let i(x) = 3*x. What is the least common multiple of f and i(4)?
84
Let x = -1205/1376 - -35/86. Let o = 253/3 - 87. Calculate the common denominator of x and o.
96
Let x = -8 + 11. Let i = 29857/126 + -2204/9. Calculate the common denominator of i and ((-537)/(-54) - x) + -2.
126
What is the common denominator of -1 - (-5 + (-4254)/(-468) - 4) and -23/78?
78
Let y = 11044 - 165728/15. Find the common denominator of y and 89/26.
390
Let r = 15 - 9. Let c(h) = -h**2 - h. Let s(t) = 4*t**2 + 12*t - 4. Let y(k) = 3*c(k) + s(k). What is the lowest common multiple of y(-11) and r?
18
Suppose 0*a - 132 = -3*a. Suppose 83*s - 81*s - a = 0. Suppose 0*l - 6 = -l. What is the least common multiple of l and s?
66
Suppose -11*x + 961 + 898 = 0. Let a = -142 + x. What is the lowest common multiple of 12 and a?
108
Let i = 1376247/9104 + 437/569. Let s = 152 - i. Let w = -1057/16 - -66. What is the common denominator of s and w?
16
Let k = -29 + 33. What is the smallest common multiple of 0 + 4/4*k*1 and 10?
20
Suppose -4*o = -2*l - 9*o - 149, -4*l - 5*o = 273. Calculate the common denominator of -83/2 and (6 - l/(-10))/((-2)/(-36)).
10
Let r = 18 + -6. Let o = 21 + -7. Suppose -3*k - 5*g + o = 0, -2*g = 5 - 1. What is the smallest common multiple of k and r?
24
Let g = 20 + -15. Suppose 0 = -4*i + 5*p - 13, -g*i + 6*p - p = 15. What is the least common multiple of 2 and ((-1)/i)/(8/16)?
2
Let w = -1265/144 + 113/16. Calculate the common denominator of -27/38 and w.
342
Let q = 1/26547 - 2415827/1327350. Find the common denominator of q and 44/45.
450
Calculate the common denominator of 0 - (201/24 - -1) and (-156)/(-9) - (22/(-12))/(-11).
24
Suppose -4*h = -g + 8, -5*h = -2*g - 3*g - 5. Calculate the lowest common multiple of ((-90)/27)/((-1)/h - 1) and 2.
10
Let i = 1818 + -9042/5. Let a = 6173/5 + -1247. What is the common denominator of i and a?
5
Let h(k) = -k + 8. Suppose -3*o + 2*n + 46 = 2*o, -2*n = -4*o + 38. What is the lowest common multiple of h(7) and o?
8
Let i be -1*7/28 - (-241754)/(-60). Let l = i - -12103/3. Calculate the common denominator of l and 13/12.
60
Calculate the lowest common multiple of ((-16)/1)/(-6*(-1)/(-27)) and 240.
720
Let k = -4383 + 87607/20. What is the common denominator of k and 11/20?
20
Let j(u) = -u**3 - 25*u**2 - 40*u + 141. What is the lowest common multiple of 109 and j(-23)?
327
Let a = 4 + -2. What is the common denominator of (-798)/8*94/1269 and (-402)/4*a/18?
18
What is the least common multiple of ((-12)/(-14))/((-51)/(-19159)) and 6?
966
Let p(o) = -o**3 + o**2 + 16. Suppose s + m + 45 = 0, 4*s - 2*m + 170 = -4*m. Let d = 42 + s. Calculate the lowest common multiple of p(0) and d.
16
Calculate the smallest common multiple of 24 and (-2280)/(-100)*(5 + 0).
456
Let k = -3551 - -117206/33. What is the common denominator of 29/308 and k?
924
Let h = 7407/9436 - -1/1348. Find the common denominator of (3/15)/(192/(-5840)) and h.
84
Let x(g) = g + 2. Let t be x(-4). What is the common denominator of t + (0 - (-123)/20) and (-4)/22 - ((-339)/110 - 3)?
20
Let m(c) = -2*c**2 - 6*c - 2. Let l be m(-4). Let p(q) = 9*q + 8. Let j be p(l). Calculate the common denominator of -59/6 and (j/(-4))/(-3 - 2).
30
Let w(r) = r**2 + 2*r + 13. Calculate the smallest common multiple of w(-3) and 4.
16
Let o = -19175/24 + 796. What is the common denominator of 103/72 and o?
72
Let a = 3253/154 + -325/14. Let s(r) = r**2 - 3*r - 2. Let u be s(-1). Find the common denominator of a and 0/u - (-205)/50.
110
Suppose 3*b = -29 + 2. Let g = b - -25. Calculate the least common multiple of 11 and g.
176
Let o(n) = n**2 + 9*n. Let v be o(9). Find the common denominator of v/(-80)*(-8)/6 and 52/364*(-29)/(-2).
70
Suppose 3*b = -5*k + k + 2911, 3*b + 3659 = 5*k. Suppose -4*o + 370 = w - 0*w, -2*w - 3*o = -k. Find the common denominator of -41/4 and (-14)/(-63) - w/144.
24
Let j = -31 + 35. Calculate the lowest common multiple of 142 and j.
284
Suppose 4*q - 5*f = 60, -2*q - 2*f + 12 = -0*f. Let c = 49 - 27. Let x = c - q. Calculate the lowest common multiple of x and 18.
36
Let z = 364 + -301. Calculate the smallest common multiple of z and 189.
189
Let t = -1224 - -1239. What is the lowest common multiple of t and 285?
285
Let a(c) = -4*c +