.
16
Let a(h) = -h**2 - 17*h - 40. What is the least common multiple of 42 and a(-10)?
210
Let q = -6189266 - -34214262355/5528. Calculate the common denominator of -1/14 and q.
38696
Find the common denominator of 39/430 and (-16)/6 + (-1838)/(-516).
430
Let q = 8148/84937 - -2133373535/136238948. Let x be -1 + 11 - (-100200)/(-10025). Let z = x - q. Find the common denominator of -39/8 and z.
8
Let a = -2116 + 294126/139. Calculate the common denominator of a and (7 - -271)*(-3)/(-36)*1.
834
Let k(i) = i**2 + 3*i + 7. Let q be k(-2). Suppose 2*g = 3*b - 25, q*g + 0*b + 5*b = -125. Let p = 104 + -68. Find the common denominator of p and g.
1
Let f = 2/23 - -32/161. Find the common denominator of ((-24)/72 - -14)*(1 + 0) and f.
21
Let n(b) = -b**3 - 4*b**2 - b + 4. Suppose -30 = -u + 50. Let s = 89 - u. What is the least common multiple of s and n(-4)?
72
Let v = 71 + -65. Let u(w) = -3 - w**2 + 1 - 4 + 15*w - 2*w. Calculate the smallest common multiple of 20 and u(v).
180
Let y(h) = -494*h - 3110. What is the least common multiple of 168 and y(-9)?
28056
Let d be 255980/(-60)*134/28. Let o = -20415 - d. Find the common denominator of o and -115/6.
42
Suppose 16*h - 39*h = 150 - 978. Suppose c - 2 = 46. What is the lowest common multiple of c and h?
144
Suppose -17*s - 37 = -3. Let h(d) = 24*d**2 + d + 6. Let j be h(s). Suppose 0*m + 5*m = j. Calculate the smallest common multiple of 12 and m.
60
Let v be 44/(-24) + 2 - 46/852. Let g = v - 3069/142. Calculate the common denominator of -17/18 and g.
18
Let s = -177185 - -92490439/522. Find the common denominator of s and 59/54.
1566
Let f(s) = -3217*s + 3221. Calculate the least common multiple of 2*1/((-2)/(-16)) and f(1).
16
Suppose 0 = 119*a - 125*a + 48. Calculate the least common multiple of 248 and a.
248
Suppose -p = -5*f + 360, -p = f - 19 - 53. Calculate the common denominator of 0 - 452/f - -8 and (0 - 76/15)/10.
450
Calculate the common denominator of (26 - (-904)/(-35))/(12/(-39)) and 76/(-35) - (-6)/15.
70
Calculate the common denominator of (-19 + 22 + (-1537)/525)/((-8)/6) and 67/54.
9450
Suppose -c - 82 = -i - 42, 0 = c + 6. What is the common denominator of 25/2183 and i?
2183
Let l(a) = 19*a**2 + 161*a + 122. Suppose -4*g + 45 = g. Calculate the lowest common multiple of g and l(-8).
450
Let r = -24229/950 - -2/475. Let b = 173533/37 - 4689. Calculate the common denominator of b and r.
74
Let o(b) = -3*b. Let d be o(-1). Let j be (25/20)/(((-3)/(-52))/d). Let v = j - 61. What is the lowest common multiple of 11 and v?
44
Let x = 14928/5 - 194128/65. What is the common denominator of x and -23/7?
455
Let u(a) = -5*a - 5. Let j be u(-2). Let l be (-1 + 4 - j)*425/2. What is the common denominator of -49/5 and (1 + (-445)/l)*10/(-8)?
170
Let w = -156 - -272. Let y = w + -326. What is the common denominator of 101/30 and (10/y)/(1/16)?
210
Suppose -4*n + 2*c + 2221 + 13141 = 0, 19195 = 5*n - 5*c. What is the smallest common multiple of 16 and n?
30736
Let c = -38 + 41. What is the common denominator of c/15 - 164/(-80) and (-24)/(-3) + 2272/(-248)?
124
Let g = -95/64 - -19/64. Let d = 10125/28 + -360. Calculate the common denominator of d and g.
112
Suppose u - 4*u + 5*x = 10, 4 = -2*u + 4*x. Let g(a) = -a**2 - 11*a - 5. Let t(d) = d**3 - d**2 + d + 1. What is the least common multiple of t(0) and g(u)?
5
Suppose 4*o - 138 = o. Suppose 4*u = 5*b + 50, 5*u - u - 3*b - o = 0. Calculate the least common multiple of (2 - (-36)/10)/((-2)/(-5)) and u.
70
Let s = 2842 - 25609/9. Find the common denominator of s and -83/1236.
3708
Suppose 30*n = 37*n - 98. Calculate the smallest common multiple of 252 and n.
252
Suppose -21649 = 4*q + 3*k, k = 3*q - 4*q - 5411. Calculate the common denominator of -11/8 and q/560*1 - 6/14.
40
Let x be (-5825736)/(-1792)*(-11)/(-6). Let n = x - 5961. Calculate the common denominator of n and -91/8.
64
Let y be (6/15)/(-7 + 8128/1160). Suppose 170 - y = 14*a. What is the smallest common multiple of 60/18 - 2/6 and a?
24
Let a = -145237/36 - -4036. Calculate the common denominator of (86/(-20) - -4) + (-2435)/300 and a.
36
Let d = 1713 + -1169. Calculate the least common multiple of d and 408.
1632
Let v = -555 - -551. Let p = -5 + -10. Calculate the smallest common multiple of (20/p)/(v/6) and 1.
2
Let s = -104167/18 - -5779. What is the common denominator of -89/2502 and s?
2502
Let s = 99499/42 + -2368. Let f = 81835/3 - 27568. Let x = -557/2 - f. What is the common denominator of x and s?
42
Let x = -34219/8 - -4270. What is the common denominator of x and ((-2)/(-264))/((-406)/91 + 162/36)?
264
Let n = 1436 - 217. Let g = -6049/5 + n. What is the common denominator of g and -31/23?
115
Let u = 188 - 190. What is the common denominator of 36/54 + (181/(-60) - u) and 4485/(-198) - 4/22?
60
Let i = 319/1554 - -1/111. Find the common denominator of 4 - (-5)/9*(-43491)/(-1330) and i.
42
Let x = 136809/14 + -9780. Find the common denominator of x and 3/(-56)*1342/33.
28
Let s = 11107/4 - 2754. Find the common denominator of -6 - 10124/(-1392) - (2 - 1) and s.
348
Let h = -26313991/144 - -182737. Find the common denominator of 167/240 and h.
720
Let l = 35352 - 1414129/40. Find the common denominator of l and -32/3235.
25880
Calculate the smallest common multiple of ((1 - 265) + -4)*((-60)/6)/5 and 52.
6968
Suppose -52 = -3*w + 4*q, 43 = w - 0*q - 5*q. What is the lowest common multiple of w and 24?
24
Suppose 54*u - 938 = 8188. Let o(h) = -35*h + 12. Calculate the least common multiple of o(-3) and u.
1521
Suppose 0*n - 3*n = q + 6, -q - 11 = 4*n. Find the common denominator of (111/(-63))/((-57)/q - -4) and -6/49.
49
Let z = 5863 + -5383. Calculate the lowest common multiple of z and 60.
480
Let j = -3022 + 3200. What is the least common multiple of j and 46?
4094
Let k(t) = -2*t**2 + 11*t - 2. Let i be k(5). Calculate the least common multiple of ((-3)/i)/(3/(-48)) and (15/(-5) - 9)*18/(-27).
16
Let d(a) be the second derivative of 51*a**4/4 - a**3/2 - 31*a. Let w be d(2). Find the common denominator of -69/28 and ((-3)/(-6))/((-6)/w).
28
Let u be (-924)/(-51) + (-4)/34. Let m(w) = w + 4. Let l(z) = 2*z + 78. Calculate the smallest common multiple of l(-34) and m(u).
110
Let x = 4183 - 259381/62. Find the common denominator of x and 65/62.
62
Let x be ((-55)/(-5) - 2)/(30/2658). Let b = x - 800. Find the common denominator of -51/35 and b.
35
Let n = -13336130 + 186599185/14. Let a = 7610 + n. Find the common denominator of -19/6 and a.
42
Suppose -3*m - 4 + 37 = 0. Suppose -10 = -3*t + m. Let y(a) = -1062*a + 7440. Calculate the least common multiple of t and y(7).
42
Let q(d) = -3*d**2 - 66*d + 9. Suppose 34*g + 3*j + 104 = 29*g, -4*j - 107 = 5*g. What is the lowest common multiple of q(g) and 8?
360
Suppose 85 = -5*u - y, -5*u - 5*y + 15 = 120. Find the common denominator of (-3 - (-1812)/320)*u/(-36) and 43/60.
60
Let v(d) = 2*d**2 - 151*d - 4398. Calculate the lowest common multiple of 1 - ((-278)/2)/1 and v(98).
420
Let w = -11015 + -20107. Let n be 15535/w - 1/(-2). Let p = n - 20369/23940. What is the common denominator of 43/4 and p?
20
Let m = 30162/5 - 1688497/280. Calculate the common denominator of m and -71/78.
2184
What is the common denominator of 117/1162 and (1363/(-290) - -5)/((-7968)/(-470))?
18592
Let r(d) = d**3 + 20*d**2 - 21*d - 12. Let x be r(-21). What is the common denominator of (-58)/120*(-2 - 7) and x/(-66)*(-2)/8?
220
Suppose -32415 - 104760 = -5*f. Suppose 4*z + 21951 = -w, -z + 2*w = -6*z - f. Let b = -219597/40 - z. What is the common denominator of 97/2 and b?
40
Let u(b) be the second derivative of -b**5/20 - b**3/3 - 3*b**2/2 + b. Let p = -42857 - -42870. What is the least common multiple of p and u(-2)?
117
What is the lowest common multiple of 6 and 5300/32 - (-20)/(-32)?
330
Let r(t) = -20*t - 972. Calculate the least common multiple of r(-50) and 42.
84
Let q = 2/589 + 2338/5301. Suppose 31*u - 2064 = 30*u. Let j = u + -6127/3. Find the common denominator of j and q.
9
Suppose t + 3*d - 345 = 0, 0 = 2*t - 3*d - 409 - 299. Calculate the least common multiple of 297 and t.
3861
Let z = 73140 - 7899059/108. What is the common denominator of ((76/1900)/(2/215))/2 and z?
540
Let a(j) = -4*j - 19*j - 42 - 17*j**2 - 27*