022028304/3589 + -131336870148. Let b = k - -76229364911/56146316. Let h = b + -2/3911. What is the common denominator of 89/4 and h?
4
Suppose -27168*y = -27163*y - 1245. What is the smallest common multiple of y and 2573?
7719
Let t = -33 - -35. Suppose 0*u + t*z = 3*u - 15, -3*z = 3*u - 30. What is the smallest common multiple of u/(28/8) - (-1 + -1) and 2?
4
Let t = -8021 - -240443/30. Let j = -9666 + 96769/10. What is the common denominator of j and t?
30
Calculate the smallest common multiple of -20920*(-3 + (-11)/(-4)) and 4707.
47070
Suppose -291*q + 3814 = 1486. Let c be (64/10)/(3/30). Suppose -5*o + c = -o. Calculate the lowest common multiple of o and q.
16
Let t(b) = b**3 + 100*b**2 + 2426*b + 32. Calculate the smallest common multiple of t(-47) and 3.
3087
Suppose 4700*j = 4639*j + 46116. Calculate the least common multiple of j and 45.
3780
Suppose -9 = -k - 4*v, 0*k - 107 = -3*k + 4*v. Suppose -330 = k*n - 35*n. Calculate the least common multiple of 15 and n.
165
Let m be (-1376942)/65940 - 1/5. Let x = 39/157 + m. What is the common denominator of (89/445)/(12/(-310)) and x?
6
Let f(l) = -l**2 + 4*l - 3. Suppose 16 = 5*b + 3*p, 5*b + 2*p - 9 = 5. Let u be f(b). Suppose 0 = -2*g + 33 - u. What is the lowest common multiple of 10 and g?
80
Let j(q) be the first derivative of q**4/4 + 10*q**3/3 + q**2/2 - 87*q + 59. Calculate the lowest common multiple of 135 and j(-8).
1485
Let l = 1188781/935472 + 1/19489. Calculate the common denominator of 1 + 138/40 - 1 and l.
240
Find the common denominator of -49/437 and 260/552 - 44/(-264).
1311
Suppose -3*q - 5*f + 445 = 2*q, 2*q - 2*f - 186 = 0. Let y = -89 + q. Suppose -5*u = 25, n + y*n + u - 361 = 0. What is the lowest common multiple of n and 18?
1098
Let a = -198871/270270 - -28/3861. What is the common denominator of a and 22/(-7)*(-9)/60?
70
Let o be (4770/(-8))/(2/8). Calculate the common denominator of o/4536 + (-9)/(-21) and -38/27.
216
Let z(m) = 645*m - 15. Let v be z(3). Let c be (-4)/(-14) + v/42. Suppose 5*x = 3*x + 4*o + c, -o = x - 23. Calculate the smallest common multiple of 1 and x.
23
Calculate the common denominator of ((-65)/(-1560))/(1 + (-376)/396) and -101/20.
40
Let v(z) be the third derivative of 61*z**4/24 - 17*z**3/6 + 26*z**2. Let f = 26 - 4. Calculate the smallest common multiple of v(1) and f.
44
Suppose -10*n + 11*n + 3*x = 16, -4*n - 2*x = -14. Calculate the common denominator of (1305/(-1296))/(-5) - n and -145/54.
432
Let y = -52579/49300 + 18/493. Calculate the common denominator of -59/172 and y.
4300
Suppose 0 = -2*r - 0 + 8. Suppose 0 = -2*b - 0 + 6, -4*b + 8 = 2*l. Calculate the smallest common multiple of r and (13/l*8)/(1/(-1)).
52
Let t = 1 - 0. Suppose 2*h = o + t + 8, -14 = o - 3*h. Calculate the least common multiple of (45/10 - 6 - (-9)/(-6))*-3 and o.
9
Let z = 5348 + -213927/40. Find the common denominator of -75/116 and z.
1160
What is the common denominator of 55/18 and (-549)/387*(-6)/(-18)?
774
Let a be -6*((-2)/(-4) - 1). Let v be a*(-1)/(-24)*-2*-8. Find the common denominator of 44/9 and (-46)/11 - v/6*0.
99
Suppose -27*a + 30 = -22*a. Calculate the lowest common multiple of 70 and ((-2)/a)/((-875)/(-294) + -3).
70
Let k(z) = -4*z - 47. Let y be k(-13). Suppose -68 = -x - 3*l, -x + y*l - 212 = -4*x. What is the smallest common multiple of 11 and x?
814
Suppose 0 = -22*h + 13*h + 36. Suppose h*z - v - 20 + 7 = 0, z + 13 = -3*v. Suppose -d + 21 - 5 = 0. What is the lowest common multiple of z and d?
16
Suppose -2*i + 3*z - 1 = 0, 3*i - z = 2*i. Let y be -192*(i - (-2)/4). Calculate the common denominator of 52/33 and ((-44)/y)/(1*2/(-6)).
264
Suppose -16 = -4*j, -4*z + 3*z + 4*j + 38 = 0. Calculate the lowest common multiple of 144 and 4*(-2)/(-16)*z.
432
Find the common denominator of -67/110 and ((54/(-248))/(6/4))/(511 + -491).
13640
Let b be 5/(30/42) + 71. Let j = b - -96. What is the lowest common multiple of 9 and j?
522
Suppose 0 = 5*u + 4*u - 27. Calculate the common denominator of u/(-20)*(-858)/(-44) and 66/35.
280
Suppose 540*w + 697 - 1900 = 3117. What is the least common multiple of 860 and w?
1720
Let f be -3 + (-6 - (-3 - 5)). Calculate the smallest common multiple of 70 and (-4)/f + (-90)/45.
70
Let a = -68890/11 + 551255/77. Let n = -903 + a. What is the common denominator of -27/7 and n?
7
Let l(s) = -257*s - 1252. Let h(u) = -86*u - 417. Let p(d) = 8*h(d) - 3*l(d). Calculate the least common multiple of 10 and p(-5).
10
Suppose -s - 2*r = 3*s + 680, 0 = -2*s + 4*r - 320. Let g = s + 190. Calculate the smallest common multiple of g and 22.
22
Let z(g) = -29*g + 184. What is the smallest common multiple of 54 and z(-4)?
2700
Let w be 4/((0 + 2)/((-6)/(-12))). Calculate the least common multiple of 26 and 10 - 1 - -5*w.
182
Let c be (-3 - (-21)/(-1))/(32/(-16)). Suppose -4*d + c + 17 = y, 2*d - 2*y = 22. What is the least common multiple of 12 and d?
24
Suppose 8*s = -49 + 591 - 94. What is the smallest common multiple of s and 140?
280
Suppose 108*y - 14 = 101*y. Suppose -5*n = -9*g + 5*g + 240, 3*n + 122 = y*g. Calculate the lowest common multiple of g and 45.
495
Let p be ((114566/10)/(-1))/((-72)/15). Let q = 1946 - -444. Let a = q - p. Calculate the common denominator of a and -27/14.
168
Suppose 0*h + 34 = 3*h - 2*t, 5*t = 3*h - 40. Suppose -44 = 3*i + 5*p - 1, 0 = 5*p + h. Find the common denominator of 106*(-1)/(-80) - (-22)/i and -61/20.
40
What is the common denominator of 3351/1512 + (-4)/14 and 414/(-243) + -1 + 0/24?
216
Suppose -52 + 64 = 3*r. Suppose 0 = 3*f + f + r*b - 28, 2*b = 2*f - 6. What is the smallest common multiple of 50 and f?
50
Let z(p) = 16*p**2 - 59*p + 218. Calculate the least common multiple of 140 and z(4).
2380
Let a(v) = -v - 8. Suppose -16*k + 1386 = 5*k. Calculate the lowest common multiple of a(-13) and k.
330
Let p = 55527 - 2220957/40. Calculate the common denominator of -193/3120 and p.
3120
Calculate the common denominator of (-2)/4 - (-1526)/5292 and 1 - ((492/10)/6)/(-2).
1890
Suppose -y - 5*a = -23, -5*a - 117 = y - 5*y. Let v = -230 + 2279/10. Find the common denominator of v and (-35)/(-20)*78/y.
40
Suppose -3636 = -4*w + 246*p - 242*p, -5*p = -15. Calculate the lowest common multiple of 741 and w.
11856
Let q = 37/505068 + 241051782793/17677380. Let o = q - 13638. Calculate the common denominator of o and -95/4.
140
Let h be (-5118)/(2 + (-127)/38). Let g = h - 3815. Calculate the common denominator of -4*(-1)/24*-4 and g.
51
Let o = -4841/40 + 2361/20. Find the common denominator of 37/11 and o.
440
Suppose -4*w + 10 + 210 = 0. Let h be 6/((-1)/(w/10)). What is the least common multiple of (-20)/(-3) - (-22)/h and 1?
6
Let y = 801/32 + -21689/864. Find the common denominator of 109/18 and y.
432
Let b = -425 + 240. What is the smallest common multiple of b*(52/(-20) - -2) and 21?
777
Let l = 169 + -161. Suppose l = t - 4*s, -3*t + 75*s + 8 = 79*s. What is the least common multiple of t and 36?
36
Let k(m) = m**3 + 6*m**2 - 18*m - 12. Let h be k(-8). Find the common denominator of 41/45 and (h - 1) + 17514/(-4860).
270
Let y = 54310923327334/33149753 + -21298560/13. Let x = y - 53220653407/56099582. Let s = x + 949. Find the common denominator of 121/10 and s.
110
Suppose -5*k = -t + 21, 84*t - 2*k - 12 = 83*t. Let w(h) = 53*h**2 + 2*h - 2. Calculate the least common multiple of t and w(2).
642
Let f = 53500 - 374474/7. Calculate the common denominator of 6/(-38)*36/(-26) and f.
1729
Let l(m) = m**2 + 10*m + 6. Let o be l(-9). Let r = 3 - o. Let j = 15 - r. Calculate the least common multiple of j and 15.
45
Find the common denominator of -107/1056 and (-7)/630*6444/96.
5280
What is the smallest common multiple of -15*28/(-210)*25 and 5 + -3 + 14 - -2?
450
Suppose -f + 23 = -w, -5*f - 4*w = -35 - 53. What is the smallest common multiple of 5/(-10)*-32*(35/(-14) + 5) and f?
40
Let f = -9907 + 148523/15. What is the common denominator of f and -11/183?
915
Suppose -3*d = -9, 0 = -3*m - 4*d + 5*d + 171. Suppose 4 = 2*x - m. Calculate the common denominator of x and -29/26.
26
Let u = 189 - 1335/7. Let f = -776513/28 + 27733. Find the common denominator of u and f.
28
Let h = -7 - -6. Let o be ((-2074247)/29715 - h/(-5))/4. Let a = o - -1/849. Calculate the common d