))/(105/28).
1155
Suppose -5*w + n + 110 = -4*n, 36 = 2*w + 2*n. What is the smallest common multiple of 90 and w?
180
Let m(x) = -x**3 + x**2 + 2*x + 7. What is the least common multiple of 11 and m(-4)?
869
Suppose 4*p + 13 = 93. Let h = p - 12. What is the lowest common multiple of (-7)/(28/6) - 54/(-4) and h?
24
Let j(n) = n - 36. Let k be j(42). Let i(x) be the first derivative of x**4/4 - x**3 - 13*x**2/2 - 6*x + 2. What is the least common multiple of 2 and i(k)?
24
Let y(c) = c**3 + 20*c**2 + 17*c - 31. Suppose 4*i = 16 + 24. Calculate the smallest common multiple of y(-19) and i.
70
Calculate the common denominator of 61/110 and (5 + 489/(-132))/((-136)/(-32)).
1870
Let p(b) = -2*b + 2. Let z be p(-12). Suppose -73 - z = -3*w. Calculate the least common multiple of w and 12.
132
Let s = 54411399/8 + -493140629/72. Let h = s + 47747. Find the common denominator of 29/14 and h.
252
Let x = 27746 + -3329587/120. Calculate the common denominator of 59/40 and x.
120
What is the least common multiple of 24 and (1*(-4 - -3))/((-3)/54)?
72
Let c(g) = -g**3 - 22*g**2 + 46*g + 32. Calculate the least common multiple of c(-24) and 72.
720
Let n = 13 + -16. Let z be (-1566)/(-33)*(-8)/n. Let q = z - 8627/66. Calculate the common denominator of q and -61/12.
12
Let i = 1267/3 + -7681/18. Let p = -5/4 + 15/4. Calculate the common denominator of p and i.
18
Let i = 12367 + -544111/44. What is the common denominator of i and (4 - -1)/(72/(-26))?
396
Find the common denominator of -33/76 and -10 + (-623)/(-63) - 337/855.
380
Let j be ((-2238)/24)/(1/(-4)). Let b = -898 + j. What is the common denominator of (b/48)/(-5) + 0 and -77/4?
16
Let c be 369/7 + 16/56. Let u = -51 + c. Calculate the lowest common multiple of u and 54.
54
Let g = -3483 - -31279/9. Let b(u) = 2*u + 2. Let f be b(2). Calculate the common denominator of (-54)/(-8)*f/4 and g.
72
Suppose -4*n + 0*n - 60 = -5*q, 12 = q - 3*n. Suppose 4*l = 48 - q. Calculate the least common multiple of l and 1.
9
Let q be (10/(-15))/((-4)/102). Suppose q*b = 20*b - 75. Let n = b + -23. What is the least common multiple of 2 and n?
2
Let g(k) = 3*k**2 + 4*k - 11. Calculate the lowest common multiple of 10 and g(3).
140
Let z = -4175/2 - -2128. Let b(f) = f**3 + 4*f**2 - 7*f - 5. Let v be b(-5). Find the common denominator of 39/(-5) - (-1)/v and z.
10
Let l = 40868 + -17654843/432. What is the common denominator of -25/6 and l?
432
Let m = 118079/14 + -8429. Let b(u) = u**3 + 10*u**2 + 11*u + 16. Let q be b(-10). What is the common denominator of (12/6)/(56/q) and m?
14
What is the common denominator of (-90)/(-49)*((-41)/4 + 12) and 21/8?
56
Let y(n) = n**3 - 12*n**2 + 12*n - 9. Let g be y(11). Suppose 7*m - 2*m - 126 = -4*z, g*m - 5*z - 24 = 0. Calculate the smallest common multiple of 34 and m.
374
Let k be 2/7 - (-33244)/(-126). Let a = 262 + k. What is the common denominator of a and 200/(-12) + (-10)/((-8)/(-4))?
9
Suppose -4*r = -4*x + r + 58, -4*r = 3*x - 28. Let o = x - 7. Suppose o*m - 4*m + 49 = 0. What is the common denominator of m and 16/3?
3
Let y(r) = r**2 - 12*r + 25. Let u be y(10). Suppose 4*l - u*l = 3, -l = g - 27. Calculate the lowest common multiple of 30 and g.
30
Let s be (-4 - (-52)/16)*-4. Let m(o) = 1 + 11*o + o**s - 10*o + 7. What is the least common multiple of 14 and m(0)?
56
Let j(h) = h**2 + 39*h - 30. What is the smallest common multiple of 20 and j(-40)?
20
Suppose -3*x - 2*x = -10. Suppose x*v + v - 33 = 0. Suppose 4*b - 38 = 3*k, 45 = 5*b + 3*k + v. What is the least common multiple of 8 and b?
8
Suppose 2*d - 5*u = 97, -d - 2*u = 4*d - 170. Calculate the common denominator of (-3)/(d/14)*-5 and 13/16.
48
Suppose 0 = 7*j - 2*j - z - 105, 0 = -4*z + 20. Calculate the smallest common multiple of 362 and j.
3982
Let x be (-8)/6*(-54)/4. Let j be -4*4/(-24)*x. What is the common denominator of (-365)/(-35)*14/j and -65/16?
48
Let a = 66/2447 + -379225/1086468. What is the common denominator of -103/18 and a?
1332
Let c(h) = 73*h**2 + h + 10. Let i be c(-8). Let y = i + -93419/20. What is the common denominator of 11/16 and y?
80
Calculate the common denominator of -15/49 and (-8)/(-4) + -1 - 402/(-84).
98
Suppose 5*l = 8 + 2, 3*t - 2*l + 31 = 0. Let o(f) = f**3 + 8*f**2 - 15*f - 21. Calculate the smallest common multiple of o(t) and 27.
297
Let m = 700 + -690. What is the lowest common multiple of m and 34?
170
Let r(x) = -x**2 + 3*x - 4. Let j be r(0). Find the common denominator of ((-58)/14)/(9 + j) and 61/20.
140
Find the common denominator of 29/22 and 8 - -4 - (-30042)/(-2496).
4576
What is the common denominator of (-424)/(-18)*(363/352 - 1) and 139/12?
72
Let d be 17247/1532 + -4*3/6. Let l = -3/383 + d. Find the common denominator of l and 19/8.
8
Let j(f) be the third derivative of -f**5/60 + 7*f**4/24 - 2*f**3 + 3*f**2. Let r be j(5). Calculate the lowest common multiple of -14 + 17 + (r - -1) and 8.
8
Suppose 3 = q, -2*g = -g + 4*q - 15. Suppose 0 = -5*r + g*m + 125, 3*r + 29 = 5*r + 3*m. What is the least common multiple of 20 and r?
220
Suppose 11*g - 6*g - 680 = 0. What is the least common multiple of 6 and g?
408
Suppose -37*f + 264 = -26*f. Calculate the least common multiple of 8 and f.
24
Let p = -64 + 64. What is the common denominator of (-154)/(-32) - (p - 1) and 69/10?
80
Let v = 48401694205813/2243654040 - -1/186971170. Let z = v + -21579. Find the common denominator of 1/30 and z.
120
Suppose -3*i - 3*u + 81 = 0, u = 5*i - 0*u - 111. Suppose -3*s - 4*k = -i, 0 = s - 5*k + 5 - 0. Calculate the lowest common multiple of s and 13.
65
Let w(a) = a**3 - 5*a**2 - 12*a + 33. Let u be w(6). Let j(k) = -5*k**2 - 3*k + 5. Let h be j(-5). Find the common denominator of -53/8 and h/(-2)*u/(-30).
8
Let r be (0 - 4/(-14)) + (-894)/3080. Let g = -31/20 - r. Find the common denominator of g and 95/6.
66
Let q be 2/(-8) - 141/12. Suppose 2*c - 4 = 16. Calculate the least common multiple of c and (4/q)/(1/(-15)).
10
Let s = -18807/70 - -1318/5. Find the common denominator of s and 2/(-8) - 698/(-120).
210
Let v(i) = -i - i + 3*i + 21 + i. Calculate the least common multiple of v(-9) and 30.
30
Calculate the common denominator of -35/16 and 2/(-4) - 10/5960*-436.
2384
Let n = -264812500765/2409 + 109926323. Let x = n - -1/6424. Calculate the common denominator of x and ((-124)/(-50))/((-44)/(-165)).
120
Let k(n) = n**2 - 2*n - 2. Suppose 2*c + d = -3*d + 10, 2*c - 3*d = -25. Let i = c + 8. What is the smallest common multiple of i and k(4)?
6
What is the lowest common multiple of (80/(-24))/((-8)/132) and 40?
440
Find the common denominator of -77/18 and 4176/(-4860) + (-2)/(-20).
54
Let t = 17 + -23. Calculate the least common multiple of 50 and (1647/6)/9 + 3/t.
150
What is the common denominator of -149/90 and (6/110*2)/((-328)/(-287))?
1980
Let u = -98/47 + -2455/423. Let v = 6/4285 + -390319/274240. What is the common denominator of u and v?
576
Suppose 2*w + 16 = 3*i, 9 = 2*w + 19. What is the lowest common multiple of i and 10?
10
Let p = 17 + 20. Let i = -25 + p. Calculate the least common multiple of i and 36/10 + (-10)/(-25).
12
Let z be 1 + (-10)/12*85397/15. Let b = 4747 + z. Find the common denominator of b and 83/20.
180
What is the lowest common multiple of 12 and ((480/28)/(-10))/(2/(-14))?
12
Let u(l) = -4*l**3 + 2*l + 3. Let c be u(-1). Suppose 3*h - c*h + 4 = 0. Let f(o) = o**3 + 8*o**2 + 9*o + 2. What is the least common multiple of f(-6) and h?
20
Let x = -8/33 - 215/66. Let d = 2018 - 10122/5. Calculate the common denominator of d and x.
10
Suppose -4*u + 5*y + 1147 = 0, -4*u - 4*y + 7*y = -1149. Calculate the smallest common multiple of u and 216.
864
Let b = -3342 + 13295/4. Calculate the common denominator of 0 - 82/20*-3 and b.
20
Suppose k + 6 = 9. Let q = k + 4. Calculate the smallest common multiple of 3 and q.
21
Let z = 2309 + -76177/33. What is the common denominator of z and -28/33?
33
Suppose -3*l + 2*l = 3*b - 88, -4*l = 2*b - 72. Suppose -5*o + b = -3*o. Let m(q) = -q**2 + 6*q + 4. Calculate the lowest common multiple of m(4) and o.
84
What is the least common multiple of (-13 + 3)*(-22)/55 and 98?
196
Let n(h) = -369*h**2 - h. Let j be n(-1). Let g(l) = -3*l + 3. Let z be g(-5). Calculate the common denominator of (z/80)/