et u(h) = 35*h**2 + 2*h - 1. Let c = -7 - -8. Let d be u(c). Suppose 3*p = n + 24, -5*p - 10 + d = 3*n. What is the smallest common multiple of p and 5?
35
Suppose -2*x + 961 - 233 = 4*f, -5*f - x = -913. What is the lowest common multiple of 21 and f?
1281
Let k = -20998159/132 - -159078. Calculate the common denominator of k and -95/242.
1452
Let t = -1/3250 + 24419/143000. What is the common denominator of -1/32 and t?
352
Let a(x) = -418*x + 6. Let p be a(13). Let t = 76033/14 + p. What is the common denominator of 18/(-4) + 1/(-4) and t?
28
Let l(h) = -64*h**2 - 7*h - 7. Let j be l(-1). Let r = -48 - j. What is the lowest common multiple of 12 and r?
48
Suppose h + 2*h - 159 = 0. Suppose -h*c + 84 = -50*c. Calculate the lowest common multiple of 16 and c.
112
Suppose 3*f = 5*z - 4*z - 2, -64 = -4*z - 2*f. Find the common denominator of ((86/(-9))/(-1))/2 and z/28*(-96)/(-7).
63
Let p = -239 - -261. What is the least common multiple of p and 60?
660
Let k = 33 + -36. Calculate the common denominator of -103/120 and (k/6 - -2)/((-27)/(-435)).
120
Let c(f) = f**3 - 3*f**2 - 4*f + 8. Let k be c(4). What is the common denominator of (k/8)/(9/65) and 1/(8 - 3) - 37/5?
45
Suppose 3*g - 2*g + 5*s = 153, 2*g = -4*s + 276. Calculate the least common multiple of g and 16.
128
Suppose i - 13 = 3. Let d(q) = q**3 + 23*q**2 + 21*q - 4. Let y = -38 - -16. Calculate the least common multiple of d(y) and i.
144
Suppose 5*g = -6*r + r - 65, -4*r = 3*g + 54. Let w be (-954)/r + 2 - 2. Let u = -1543/30 + w. What is the common denominator of -5/18 and u?
18
Let u = -35 - -41. Calculate the smallest common multiple of 16 and u.
48
What is the common denominator of 3/(60/22) + 1 and 10 + -6 + 11/(-10)?
10
Let i = -2047/94 + 699917/32430. Find the common denominator of i and -8/115.
345
Let x = 29 - -45. Let m = x - 66. Calculate the least common multiple of m and 14.
56
Suppose 0 = -3*m + 2*z - 52, 3*z = m + 2*z + 18. Find the common denominator of -1 - 22/m*14 and (2/(-40))/((-54)/(-6372)).
20
Let b = -10291/5094 - 10/283. Find the common denominator of 109/600 and b.
1800
What is the common denominator of 93/20 and -6 + 5414/708 - 2?
3540
Let y = 5395 + -5375. Calculate the least common multiple of (-342)/(-4) - 3/(-6) and y.
860
Let p = 2867 - 977. Let l = p - 28372/15. Calculate the common denominator of l and 13/15.
15
Suppose 0*q - 4488 = 2*q. Let z = 6753 + q. Let b = z - 54023/12. Find the common denominator of -121/10 and b.
60
Suppose 4*o + 36 = o. Let y = 41 - 22. What is the common denominator of 2/3 and 5/(-15) - y/o?
12
Suppose -585 = -88*j + 295. What is the least common multiple of j and 47?
470
Let s(x) = -2*x**3 - 5*x**2 - 16*x - 39. Let v = 13 + 14. Calculate the least common multiple of v and s(-3).
54
Suppose 4*k = -4*i, -i - 4 = 4*k + 5. Suppose -5*l + 2*m = 3*m - 30, 0 = 5*l - i*m - 10. What is the least common multiple of l and 1?
5
Let v be 68/6 + -7*2/(-21). Find the common denominator of 32/10*(-5)/(-7) and 1 + 2 - (v + -35).
7
Suppose 22 = -3*f - 11. Let g = -5 - f. What is the least common multiple of 6 and g/(-3)*(-5 + -5)?
60
Let t = -56 + 58. Suppose 0*o = -5*o + 55. What is the least common multiple of o and (t - (-4)/(-6))*(-33)/(-22)?
22
Suppose -4*f + 8 = -4*r, -3*f = 2*f + r - 22. Suppose -4*d + 5*q + 36 = 0, 8 = -4*q - 8. Calculate the smallest common multiple of 2 + f/d - -1 and 11.
44
Find the common denominator of (1/45)/(16/(-4840)) and (556/(-8))/(1 + 2).
18
Let z be 44083391455607583/(-254070) - (-6)/(-27). Let f = z + 173508841883. Let a = f - -2/8469. Calculate the common denominator of 51/14 and a.
70
Let j be (-6)/(-15)*(-6285)/36. Let n = 69 + j. Find the common denominator of 49/18 and n.
18
Let n = 20 - -5. Suppose o = -7 + n. What is the least common multiple of 6 and o?
18
Let o(n) = -n**2 + 5*n + 55. Let y be o(10). Suppose -15 = -5*m - y*u, -2*m = -7*m + 4*u - 3. Calculate the least common multiple of 4 and m.
4
Let k(d) be the third derivative of -1/3*d**3 + 0*d + 0 - 8*d**2 + 1/6*d**4. Calculate the smallest common multiple of 6 and k(1).
6
Let q = -49755/26 - -1914. Suppose -3*f - 14 = -r, 0 = 3*f - 0*r + 3*r - 6. Find the common denominator of q and 2 + (f - (-238)/(-24)).
156
Let j = 1081370475/70688 + 1214/2209. Let c = 15296 - j. Calculate the common denominator of c and 151/12.
96
Let i = 1101 + -7760/7. Let k = 1382819/6 - 236582. Let y = k - -6091. Calculate the common denominator of y and i.
42
Calculate the common denominator of 52/80*-1 + -2 and 210/(-12)*(-2)/130.
260
Suppose 0 = 2*f + 2*h, 0 = -2*h - h - 12. What is the smallest common multiple of (-26)/(-39)*3/2 and f?
4
Let i = -84188492/7 - -470781939331/39144. Let n = i - 8/233. What is the common denominator of n and -49/33?
264
Find the common denominator of 19/(-5)*9/(-33) and -51/154.
770
Let g be (8/(-12) - -1)*63. Suppose -4 = -y - g. Let i = y - -25. What is the least common multiple of 2 and i?
8
Suppose 111 - 2422 = -116*l - 223. What is the smallest common multiple of l and 182/6 - 2/6?
90
Let z = 58 - 11. Suppose -z = -4*c - 3*x, -4*c - 2*x + 27 = -3*x. Calculate the least common multiple of c and 6.
24
Find the common denominator of 74/9 and 7/14*(-1496)/323.
171
Let h be (-2)/5 - 144/(-10). Calculate the least common multiple of 22 and (-7)/h + 18/4.
44
Suppose -2*a - 110 = -5*w - 10, -4*w - 196 = 3*a. Find the common denominator of (92/14)/(a/(-35)) and 17/13.
78
Calculate the least common multiple of (-8 - -5) + (167 - 8) and 38.
2964
Let c = 10822/11 - 982. Find the common denominator of c and -9/4.
44
Suppose 24 = 3*q + 3*i, 3*q - 3*i = -5*i + 20. Let t(j) = j - 1. Let x be t(q). Suppose -x*w - w + 80 = 0. Calculate the smallest common multiple of w and 18.
180
Let n(b) = -b**2 - 6*b - 1. Let u be n(-5). Suppose u*p - 6 = 2*p. Let s(h) = h**3 - 3*h**2 - h + 4. What is the lowest common multiple of s(p) and 2?
2
Suppose 0 = 2*h + f - 6, 5*h + 7*f = 2*f + 5. Suppose 8 = -w - h*o - 6, 3*o = w - 10. What is the smallest common multiple of w and 2?
2
What is the common denominator of 75/16 and 7*1/(-12) - (-29)/174?
48
Let c be 2/(-6) - 924333/54. Let q be -6*5/45 - 51367/3. Let x = c - q. What is the common denominator of x and 7/18?
18
Let f be 11/(-22)*(0 - -12). Find the common denominator of 1 - (0 - 159/f) and 73/8.
8
What is the lowest common multiple of 8 and -4 + -7*2*(20 + -27)?
376
Suppose -3*v + 7*v - 12 = 0. Let j(z) = 2*z**2 - 7. Let d be j(v). Let i = -8 + d. What is the smallest common multiple of i and 7?
21
Let h = -10 - -7. Let d = 1 - h. Calculate the smallest common multiple of d and 52.
52
Let f = -10704 - -1091875/102. Calculate the common denominator of 27/20 and f.
1020
Let m = -27355 + 60591326/2215. Let o = m + -3633/886. What is the common denominator of 73/10 and o?
10
Suppose -3*p - y + 50162 = 0, 0*p + 4*p - 66880 = -2*y. Let i = 250918/15 - p. Let s = 1595/4 - 375. Calculate the common denominator of i and s.
60
Let c = -22096 + 94548782/4279. Let g = 320953/59906 + c. Calculate the common denominator of g and 95/16.
112
Let a be -93*(-2 - 15/(-9)). Calculate the common denominator of a/40*20/5 and 0 - (2 + (-142)/8).
20
Let m = -40 + 52. Let t(i) = -2*i + 45. Calculate the least common multiple of m and t(9).
108
Let y = 1759 - 1758. Calculate the smallest common multiple of 497 and y.
497
Let b = 263/15 + -3739/220. Find the common denominator of 71/36 and b.
396
Let a = -80482 + 164011/2. Let k = 1481 - a. Let q = -21968/2035 - 2/407. Calculate the common denominator of q and k.
10
Let o = 13727/12 - 2273/2. Calculate the common denominator of 1/3 + (-169)/(-24) and o.
24
Let k(u) = 24*u + 35. Let p be k(11). Let q = 3003/10 - p. Find the common denominator of q and -61/3.
30
Suppose 4*u + 0*t + 156 = -2*t, -4*u - 154 = 3*t. Let w be (85/u)/((-2)/30). Let z = 205/8 - w. Find the common denominator of -10/3 and z.
12
Let z = 41 + -19. Suppose 5*w + 44 = 3*o, -2*o + 36 = 29*w - 34*w. What is the lowest common multiple of o and z?
88
Calculate the least common multiple of 15/(-3) - (-32)/(-24)*-51 and 117.
819
Suppose -22*y = -18*y - 96. What is the lowest common multiple of y and 27?
216
Find the common denominator of 49/12 and (((-135)/132)/9)/((-5)/30).
132
Suppose v - 53 = z + 50, -z - 