= -w**3 + 11*w**2 + 4. Let j be n(11). Let h be (j - 2)*1/2. What is the smallest common multiple of h/(-6) + 52/24 and 4?
4
Let f(r) = -r**3 - 18*r**2 + 18*r + 33. What is the lowest common multiple of 8 and f(-19)?
104
Calculate the common denominator of (-5)/4*(-53)/(-10) and (-105)/(-28)*(2 - 0).
8
Let d = -1355/4 - -329. Let n = -449/198 + 20/9. Let r = n + -235/154. Calculate the common denominator of d and r.
28
Calculate the common denominator of (-67)/(-4)*16/72 and -137/18.
18
Calculate the common denominator of (-2)/(-4) - -47*(-4)/216 and -131/12.
108
Let s = 16/195995 - 5405346281/2155945. Let u = s - -2503. Let k = -4774 - -28793/6. Calculate the common denominator of k and u.
66
Let p(z) = z**3 + 3*z**2 - 5*z. Let n(v) = -v**3 - 7*v**2 + 8*v + 3. What is the lowest common multiple of n(-8) and p(-4)?
12
Let r = -58661/11 - -5329. Calculate the common denominator of r and (-260)/210 - 1/3.
77
Calculate the common denominator of -137/12 and 850/8*8/20.
12
Let r = -58 + 84. Let s = -18 + r. Let a(b) = -b + 9. What is the smallest common multiple of a(s) and 9?
9
Let s = 19529509/316125 + -1/35125. Let b = s - 761/18. Find the common denominator of b and -48/7.
14
Suppose -140 = -4*a + f - 2*f, -2*a + 70 = 4*f. Calculate the lowest common multiple of 4 and a.
140
Calculate the lowest common multiple of (-2)/4*(6 + -74) and 8.
136
Let y = 1807/12 - 427/3. Find the common denominator of -45/2 and y.
4
Suppose 2*i - 10 = -5*d, -2*i - 6 = -2*d - 2. Suppose -d*o = 3*x - 40, o + 8 + 7 = 2*x. What is the lowest common multiple of 1 and x?
10
Let c = 56 + -34. Let b be (2/(-3))/(1/(-3)). Suppose 2*p = -b*h + c, 0*p = -2*p - h + 21. Calculate the smallest common multiple of p and 7.
70
Let c = 117847/11640 - -1/1455. Find the common denominator of -73/8 and c.
8
Let y = 4762 + -32077/8. Let t = -760 + y. What is the common denominator of -35/3 and t?
24
Let w = 24550 - 442031/18. Calculate the common denominator of w and 190/(-12) - (-2)/(-6).
18
Let g = -3 - -6. Let u be (-4 + 2)/((-2)/3). Let b = u - -1. Calculate the least common multiple of b and g.
12
Let l = 6/461 + -23595/6454. Let g = -7038 - -56383/8. Calculate the common denominator of g and l.
56
Let c = 17 + 3. Find the common denominator of (141/9)/(c/6) and (5/2)/(2/(-5)).
20
Suppose 0 = 2*d + q + q + 58, -5*q = 4*d + 117. What is the common denominator of ((-82)/(-4))/(5/(-3)) and d?
10
Let a = 17557/20 + -978/5. Let v = -8453/12 + a. What is the common denominator of 28/11 and v?
66
Suppose j = -j - 4, 0 = -4*b - 3*j + 58. Calculate the smallest common multiple of 26 and b.
208
Let a = 1699 + -11919/7. Suppose 3*k + d - 16 = 0, 0 = -3*k + 7*k - 3*d - 30. Calculate the common denominator of a and (-4)/(-6) - (-49)/k.
42
Suppose 0 = -2*i + 29 + 3. Let m = i + 40. What is the smallest common multiple of 1 and ((-1)/(-2))/(4/m)?
7
Let q = 24 - 9. Suppose -2*s - 6 = -4*a, q = -s + 4*s. Calculate the smallest common multiple of 22 and a.
44
Let a be 3850/(-21)*12/(-10). Find the common denominator of 1/(-8)*308/6 and 218/a - 21/(-35).
132
Let j(q) = -q + 1. Let p be j(4). Let o = 8 - p. Calculate the least common multiple of o and 8.
88
Suppose -2*v - 36 = -5*v. Let y = -9 + v. Calculate the least common multiple of 8 and y.
24
Suppose 2*f + 3*f - 50 = 0. Suppose 0 = -o - 3*l + 12, l - 20 = -4*l. Let d = o + 4. Calculate the least common multiple of d and f.
20
Let w = -9 + 9. Suppose -f = -s - 4, f = 3*s + 10 - w. What is the lowest common multiple of f and 9?
9
What is the common denominator of (-3390)/(-36)*1/20 and -47*((-2)/4)/1?
24
Suppose -3*k - 2*g + 93 = 0, 0*k - 3*g - 108 = -3*k. What is the smallest common multiple of k and 27?
297
Suppose -2*r + 9 = -15. Calculate the common denominator of 71/4 and (3/r)/(3/426).
4
Let r = 9 + -3. Let h be (2/(-4))/(r/36). Calculate the common denominator of h/(-5)*62/(-12) and 23/2.
10
Let b = 13533 + -1189779/88. Let z = -54/11 + b. What is the common denominator of (1/5)/((-30)/3125) and z?
24
Let a(v) = -2*v + 12. Let j be a(6). What is the common denominator of -33/10 and -9*(-4)/26 + j?
130
Let a = 27/1003 + -151939/18054. What is the common denominator of -49/2 and a?
18
Let c = -8150 - -114181/14. What is the common denominator of 49/6 and c?
42
Let t(n) = -n - 1. Let u be t(-3). Let c = 4 - u. Suppose -18*s + 34 = -20. What is the lowest common multiple of c and s?
6
Let y = -13 + 19. What is the common denominator of y/(-21) + (-16)/(-2) and (1 - 1) + (-33 - -1)?
7
Let s(f) be the first derivative of 5*f**2 + 1. Let p be s(-2). Find the common denominator of -6 - 0 - (-5)/p and -9/20.
20
Suppose -3*m - u + 31 = 0, 5*m - 5*u - 61 = -2*u. Suppose 9 = 5*d + b - 5, 0 = d + b - 2. Suppose -l + 4 = d. Calculate the smallest common multiple of l and m.
11
Let i(n) = -n**3 - 2*n**2 + n - 3. Suppose -o - 2*o = 0. Suppose 2*k + k - 3 = o. What is the smallest common multiple of i(-3) and k?
3
Let l = 51 - 48. Calculate the smallest common multiple of 10 and l.
30
Let z be -20*(3 - (-2 + 3)). Calculate the common denominator of 2/z*-109*2 and 53/16.
80
Suppose 2*m + 37 = t, 4*t + 2*m = -2*m + 136. Let p = 14 - 8. Calculate the common denominator of t and ((-122)/p)/(5/(-3)).
5
Let q = 2/1309 - -34016/11781. Let m(r) = r**3 + r - 2. Let p be m(0). What is the common denominator of q and ((-74)/21)/(p/(-3))?
63
Let r be (-17)/3*(-1 - -13). Let s be r/(-18) - (-16)/72. Suppose 2*v + 3*w = -s, -2*v - 2*w - 12 = 3*w. Calculate the least common multiple of 20 and v.
20
Suppose 0 = -3*h - 0 - 9. Calculate the common denominator of 2/16*234/h and -95/8.
8
Find the common denominator of (110/6)/((-16)/6) and 1/9 + 1614/(-108).
24
Find the common denominator of 2*(-1 - (-23)/(-14)) and 16/11.
77
Suppose 3*l - 39 = -3*f, 3*l - 3*f - 74 = f. What is the lowest common multiple of 12 and l?
36
Let x(b) = -b + 1. What is the least common multiple of 9 and x(-4)?
45
Let r be (570/189 - 3) + 0. Let t = 1066/315 + r. Let f = -7/635 - 17703/6985. Find the common denominator of t and f.
55
Let w = 106 - 96. Suppose 3 = -f + 2*f. Suppose f*d - 17 = -4*v + 23, 45 = 3*d + 3*v. What is the smallest common multiple of d and w?
20
Suppose 0 = -0*z + 3*z - 72. Let r = z - 15. What is the least common multiple of 10 and r?
90
Suppose 0*q + 6*q = 18. Calculate the least common multiple of q and 24.
24
Let k = -13005146392352495/73136 - -177821406585. Let j = 2/4571 - k. What is the common denominator of j and 33/(-15)*5/12?
48
Suppose -27 - 23 = -x. Calculate the common denominator of (-15)/(-18)*(-194)/(-10) and x.
6
Let p be -4 + (-1 - 1) + 2. What is the smallest common multiple of 20 and (-1)/p + (-117)/(-12)?
20
Calculate the common denominator of -1 + ((-38)/28 - 3) and (-1)/4 + (-21)/6.
28
Let v(c) = c**2 - c + 1. Suppose -35 = 3*o + 2*o. Let i be v(o). Suppose 2*k = -k + i. Calculate the common denominator of -19 and k.
1
Let f be (-3)/(-6) + (-517)/(-136). Let o = 23/34 - f. What is the common denominator of -67/4 and o?
8
Let b(m) = 2*m + 7. Let g be b(-5). Let x(o) = -21*o - 1. What is the lowest common multiple of x(-1) and -5*(33/15 + g)?
20
Let d = 621/1582 + -4/113. What is the common denominator of d and 59/16?
112
Let f(d) = -d**2 - d + 15. Let a be f(0). Let x = 25 - a. Calculate the least common multiple of 10 and x.
10
Suppose -4*a + 0*a + 20 = 0. Suppose a*f + 5*g - 59 = 4*g, 0 = -3*g + 12. What is the lowest common multiple of f and 11?
11
Let d = -29/265 - -36653/3180. Calculate the common denominator of (-2)/(-9) + 211/36 and d.
12
Suppose -3*q - 5 = 2*h, 0*q = -3*q + 9. What is the smallest common multiple of (3 + -2)*(0 - h) and 1?
7
Calculate the common denominator of (1 + -1 - -3) + (-225)/48 and (-59)/(-6) + (0 - 0).
48
Let j = -30 - -14. Let n = j - -28. What is the smallest common multiple of (3/2)/(n/16) and 9?
18
Suppose 6*d = 2*d - 44. What is the least common multiple of (-86)/d + 2/11 and 3?
24
What is the smallest common multiple of -13 + 12 + 1*3 and 3?
6
Let x = 6 + -4. Suppose 4*o - 5*l = -8, x*l + 2*l = 4*o + 4. What is the common denominator of 37/2 and ((-9)/11 - o) + -1?
22
Let p(b) = 2*b**2 - 5*b - 2. Let r be p(4). Let c = -7 + r. What is the smallest common multiple of 4 and -3 - -10 - -1*c?
20
Let z = -85333/14 + 