6
Let u = -4769 + 4901. What is the least common multiple of 33 and u?
132
Let o = -618601750 + 10728410167211/17343. Let m = o + -40/41. Let n = 47779/8460 + m. Find the common denominator of 61/16 and n.
80
Find the common denominator of ((-196)/(-126))/(3 - (-129)/(-21)) and -37/540.
5940
Suppose -2 = n + 4*d, -3*n - 5*d + 3 = 23. Let k(u) = u**2 + 6*u - 6. What is the least common multiple of (10 - (-105)/n)*-2 and k(-7)?
1
What is the common denominator of (-12)/10 - (-94085)/71300 and -85/12?
276
Let b = 6/35 + 751/315. Suppose f - 15 = -4*f. Find the common denominator of 174/40*2/f and b.
90
Let f(c) be the third derivative of 11*c**4/24 - 29*c**3/6 + 8*c**2. Let y be f(3). Suppose -89*d + y = -88*d. What is the smallest common multiple of d and 2?
4
Let y = -3530 - -4571. What is the lowest common multiple of y and 63?
21861
Suppose 34 - 178 = 8*u. What is the common denominator of 6/31 and ((-177)/u)/(4/(-3))?
248
Let d = 555994 - 11679310/21. Let l = d + 62823/385. Find the common denominator of -13/3 and l.
165
Let s(p) = p**3 - 15*p**2 - 164*p - 18. Let a be s(21). What is the lowest common multiple of (a/(-340))/((-1)/(-5)) and 27?
108
Let s be (-3)/3*-1*1. Let o = 11 - s. Suppose -5*j + 7*j = 24. Calculate the smallest common multiple of o and j.
60
What is the common denominator of (2/(-8))/(((-682)/(-31))/4356) and 398/8 - (-7)/(-28)?
2
Let m be (44/33)/(2/(-6)). Calculate the common denominator of 79/6 and m/10 - (3 - 6609/1260).
84
Suppose -44*j + 12 = -120. What is the smallest common multiple of j and 2870?
8610
Let b be 2/(-11) - ((-8160)/(-110))/(-12). What is the common denominator of -27/58 and b/(-1) - 377/130?
290
Suppose 53 = -a + 52. What is the lowest common multiple of -1*(-3)/a*(-51)/9 and 0 + -2 + (1 - -6)?
85
Suppose 4*m + 0*m + 2*r = 2, 5*r = -15. Calculate the least common multiple of 3 - 4*34/(-8) and -1 - -8 - (m - -1).
20
Let v(k) = -k**2 - 18*k + 29. Suppose 4*o = 2*a + 86, -o - 3 = -a - 26. Calculate the smallest common multiple of v(-19) and o.
20
Let j = -108 + -432. Suppose p = 3*p - 20. What is the lowest common multiple of (-88)/(-6) - 15/(j/(-24)) and p?
70
Suppose 3*u - 25 = 149. Let v = u + -42. Suppose -o = 2*o - 66. What is the least common multiple of v and o?
176
Let g = -238741 + 948829/4. Let j = g - -30453/20. Find the common denominator of -19/4 and j.
20
Let n be 1509*(-5)/(-1605) + -4. Let s = n + -9116/11021. Calculate the common denominator of -11/2 and s.
206
Let b = 3/7747 - -781703/1921256. Find the common denominator of b and -49/16.
496
Let s be (-8143)/170*-71*1/2. Let y = s + -1701. What is the common denominator of y and -91/8?
40
Let n = 8007 - 8003. What is the least common multiple of n and 1746?
3492
Let n be (-3)/4*(-247028)/42. Let z = -4413 + n. Calculate the common denominator of z and -41/34.
238
Let y = 69 + -45. Let u = -265 + 267. Suppose -u*i + 47 = 31. Calculate the least common multiple of y and i.
24
Let p = 8476 - 25384/3. Find the common denominator of 2 + ((-328)/54)/4 and p.
27
Find the common denominator of -21/335 and (-1980)/(-2475) + 1194*(-3)/4690.
2345
Calculate the common denominator of (-3)/(-48)*202/3 and (-14 - -1) + (-14)/((-5796)/4947).
552
Suppose 4*m - 3547 = b - 598, 735 = m - b. Calculate the lowest common multiple of 123 and m.
738
Suppose -11*s + 4481 = 1258. Suppose -s - 77 = -37*j. Calculate the smallest common multiple of 8 and j.
40
Let z(u) = 2*u. Let b be z(3). Suppose -b*v + 123 = 39. Suppose -5*m = -v - 46. What is the smallest common multiple of m and 15?
60
Find the common denominator of -3/2 and 140384/755955 + (-2)/15.
2826
Let v = -1158263/446 + 2597. Let c = -17181/4460 - v. Find the common denominator of c and 88/15.
60
Let z(d) = d**3 - 13*d**2 + 27*d - 26. Let m be z(11). Suppose -n - 18 = 5*j - 1, 3*n - j = m. Calculate the smallest common multiple of n and 612.
1224
Suppose 21 = -4*w + 93. What is the lowest common multiple of 4 and (2 + -1)*w + -2?
16
Let k(l) = 66*l**2 - 6*l - 12. Calculate the lowest common multiple of k(-1) and 420.
420
Suppose 11*a - 5*a - 420 = 0. Let j = 73 - a. Suppose -3*p - p + 562 = j*y, 750 = 4*y + 5*p. What is the least common multiple of 10 and y?
190
Let z = -45969 - -1838661/40. Find the common denominator of z and ((-43)/(-5))/(32*(-7)/70).
80
Let z(a) = -a**3 - 4*a**2 + 2. Let o(v) = 3*v**3 + 23*v**2 - 6*v - 42. Let m(q) = o(q) + 2*z(q). Calculate the smallest common multiple of 20 and m(-15).
260
Let j(x) = x**3 - 6*x**2 + x - 14. Let r be j(7). Calculate the least common multiple of 40 and (-12)/r*(3 + -38).
40
Let m(x) = -114*x + 24. What is the lowest common multiple of 24 and m(-4)?
480
Suppose 4*u - 8 + 4 = 0. Let h(r) = 7*r**3 + u + 6*r**3 - 3*r**3. Calculate the least common multiple of 4 and h(1).
44
Let n = 2176058328789316 - 3533918398554164515/1624. Let b = n + -201600802. Let p = -36/203 + b. Find the common denominator of 65/3 and p.
24
Let d = 226607/7545615 + 2/10857. Let u = 4501/834 - d. What is the common denominator of u and -181/30?
30
Let d(m) = -m + 7. Let x be d(4). Suppose 2*g + 18 = 4*r, -x*r + 15 + 3 = 3*g. What is the smallest common multiple of 18 and (-160)/60*(-12)/g?
288
Let m be ((-27741)/36)/((-3620)/15). Let f = -1/181 + m. What is the common denominator of (-4)/64*372/(-2) and f?
16
Suppose 0 = -4*l + 3*p + 44, 2*p = -4*l + 71 - 7. Suppose 20*j = 27*j - 1078. Suppose j*g - 148*g - 108 = 0. What is the lowest common multiple of g and l?
126
Suppose 5*l + 49 = -i - 49, 42 = -2*l + i. What is the least common multiple of l/(-6)*(-135)/(-10) and 15?
45
Suppose -84 - 8496 = -3*k. Find the common denominator of (k/(-504) - -5) + 2 and 69/20.
1260
Suppose -4*i = 0, 5*n - 4*i - 40 = 35. Suppose 21*a - n*a = 960. What is the least common multiple of 482/18 + (a/72 - 2) and 27?
27
Suppose 17*w + 115*w = 30*w + 13770. What is the least common multiple of w and 285?
2565
Let h be 7 - 1 - (33 + -27). Let c(x) = -x**3 + x**2 + 4*x + 38. What is the lowest common multiple of 11 and c(h)?
418
Find the common denominator of -4*(-305)/1680*(-1)/(-8) and 45/16.
672
Let d be (4 + -1)/(30/(-40)). Calculate the least common multiple of 4/(d - (-46)/11) and 16/40 + (-72)/(-20).
44
Suppose -z + 266 = -4*t, -9*z + 557 = -7*z - 3*t. Let n = z + -282. What is the smallest common multiple of 16 and n?
16
Suppose 5*m + 5*k = 90, -3*m + 2*m - 2*k + 20 = 0. What is the common denominator of (-198)/m + 0 + 7 and 75/32?
32
Let c = -12/3173 - -364967/19038. Find the common denominator of 49/2664 and c.
2664
Let w = -145415/1649799 + -30/4471. Find the common denominator of -79/164 and w.
1476
Let p = -20937 - -837523/40. Let a = 54889/20010 - 13/1334. What is the common denominator of p and a?
120
Let s(g) = -3*g**3 + 147*g**2 + 148*g + 140. What is the lowest common multiple of s(50) and 305?
2440
Let j(l) = -2*l**2 - 59*l - 40. Calculate the lowest common multiple of 210 and j(-10).
1050
Let h = -886107/80 - -11077. What is the common denominator of h and 74/(-185)*(-110)/(-32)?
80
Suppose 0 = 132*k - 312*k + 174960. Calculate the least common multiple of k and 36.
972
Let j be ((-24)/9)/(5 + 1880/(-375)). Suppose 2482*z - 2477*z - j = 0. Calculate the lowest common multiple of z and 10.
40
What is the common denominator of 49/36 and 3/9*(-18)/30 - (-1080)/(-9975)?
4788
Let r = 1167 - 3425/3. What is the common denominator of (6/7)/((-9)/(-16)) and r?
21
Let o = -3965/2 + 2223. Let f = o - 11557/48. Calculate the common denominator of f and -95/18.
144
Let x = -98983/2 + 194573/4. Suppose -15*y + 39772 = 74*y - 34810. Let q = y + x. Calculate the common denominator of q and -18/11.
44
Let l = -20/1771 - -20245/10626. Calculate the common denominator of 1 + (3/(-48))/(10/72) and l.
660
Let q = 13839 + -13327. What is the least common multiple of q and 1024?
1024
Let r = -21/18244 + 9196089/966932. Let i = 1692531/265 + -6387. Let a = i - r. Find the common denominator of 27/11 and a.
55
Suppose 13*k - 307 = -73. Let w(j) = -2*j**2 + 3. Let n be w(3). What is the smallest common multiple of 12/n*(-4 - 16) and k?
144
Suppose -r + 0 = -1. Suppose 2*s + 3*z = r, 2*s + 13 = s + 3*z. Let c = -6567 + 6573. Find the common denominator of s and c.
1
Find the common denominator of 61/169