et b be (2116/(-1044306))/((-210)/11651193). Let x = 41/174051 + b. Let v = x + -1621/14. Find the common denominator of v and -139/30.
30
Let p = -1887 - -1931. What is the lowest common multiple of 143 and p?
572
Calculate the common denominator of -49/6 and ((-581)/(-525))/((-96)/(-160)).
90
Let c = 1/512641 + 4887006650/1537923. Let q = -38059/12 + c. Find the common denominator of (-418)/(-90) - 1/5 and q.
36
Let a = 36296 - 870977/24. Let u = -57 + 113. Calculate the common denominator of a and ((-12)/45)/(u/(-640)).
168
Let v(q) = q**3 + 7*q**2 + 8*q + 9. Let y be v(-6). What is the common denominator of 7/10 and -69*(y + 16/6)?
10
Suppose 0 = 4*y - 4*h - 704, -270*y = -273*y + 2*h + 531. What is the least common multiple of y and 5?
895
Let v be (-86)/(-41) + 18/(66/(-11)). Let x = v + 1358/369. Calculate the common denominator of -43/13 and x.
117
Suppose 0 = -50*q + 55*q + 10. Calculate the common denominator of -5/56 and q/30*((-913)/88 - -10).
280
Suppose 4*g - 5*m - 49 = -6*m, -5*g - 5*m + 65 = 0. Suppose -3*h + 4*b + g + 0 = 0, h = 3*b + 4. Calculate the lowest common multiple of h and 14.
28
Calculate the common denominator of 71/245 and 2621/(-210) - (-1128)/94.
1470
Suppose 3*o - 8444 = -4*u, -3*o + 8*u - 7*u = -8464. What is the least common multiple of 1692 and o?
8460
What is the common denominator of 30/(-3) - (43780/(-960) + 36) and ((-37)/216)/((-4)/6)?
144
Suppose -5*a + 12*a = -5*o + 6546, -2*o = 4*a - 2622. Calculate the smallest common multiple of 165 and o.
14355
Let k(z) = -3*z**2 - 60*z + 3. Let t = -78 - -61. Calculate the smallest common multiple of k(t) and 12.
156
Let q be 924/98 + (-6)/14. Let j(v) = v**3 - 9*v**2 + 22. What is the least common multiple of (-17 + 5 + -2)/(-1) and j(q)?
154
Let h be 0 + (-26)/66 - 0. Let t = -58/33 - h. Let l = -1649/35 - -348/7. Find the common denominator of t and l.
55
Calculate the least common multiple of (30/(-26) - 10/(-65))*(-7 - 64) and 7.
497
Let j = 12650905/40697592 + 6/130441. Find the common denominator of -31/432 and j.
5616
Let h = 145 + -142. Suppose -4*k + 203 + 168 = -5*m, h*k = 5*m + 272. What is the smallest common multiple of 81 and k?
891
Suppose -20 = -4*y, 0 = m - 0*m - 3*y + 1. Suppose m*h - 312 + 32 = 0. What is the least common multiple of 36 and h?
180
Let a be (-7)/7*(-5)/(10/52). What is the common denominator of -92/135 and 1 - 102/44 - a/(-156)?
1485
Let m be (-2)/(3/(-60 + 0)). Suppose 2*s = 4*h + 6*s - m, 5*s + 30 = 3*h. Suppose 38 = 2*u - 2. What is the lowest common multiple of u and h?
20
Let r = 13857112/3 - 394789120541/85470. What is the common denominator of 14/3 and r?
85470
Let y be -5*(30/(-25))/(-2). What is the common denominator of -127/18 and (556/(-72))/((-68)/12 - y)?
144
Let i = 8857043/216 - 41005. Calculate the common denominator of 94/645 and i.
46440
Suppose i - 2*g = -2, 5*g - 1 = 3*i + 1. Suppose 21*u = 3462 + 633. Calculate the least common multiple of i and u.
390
Let b = -27497/20 + 1380. Find the common denominator of 186/(-21)*(-12)/(-144) and b.
420
Calculate the common denominator of 8/25 and (-4)/(-3) - (1 - (-7374)/16020).
4450
Suppose -5*h = -2*i - 28, -i = -2*h - 5*i + 16. Suppose t = -h - 3. Calculate the least common multiple of t/(-45) - (-34)/5 and 6.
42
What is the common denominator of -115/222 and (-275)/(-28) + 4/42 + 11/33?
444
Suppose -3*o + o = -10. Suppose 3*z = -4*v + 24, -13 = -o*z + 7. Let u(n) = -n**3 + 2*n**2 + 22*n - 49. What is the lowest common multiple of u(3) and v?
24
Let v = -100 - -103. Suppose 2*y - v = -23. Let a(p) = p**3 + 11*p**2 + 10*p + 10. What is the lowest common multiple of a(y) and 10?
10
Let y be ((-10)/8)/5 + 36698202/3427704. Let m = y + -9/2267. Let u = 68/21 - m. Find the common denominator of u and 55/12.
84
Let v(a) = 2*a**2 - 20*a + 210. What is the smallest common multiple of 2088 and v(-30)?
10440
Let r = -169736 - -93354891/550. Find the common denominator of -121/300 and r.
3300
Suppose -3*o - 720 = 2*j + 1341, -2*o - 2060 = 2*j. Let v = -116/13155 - -190078219/184170. Let d = j + v. Calculate the common denominator of -149/30 and d.
210
Suppose -5*l + k + 439 = -l, -105 = -l + 5*k. Suppose 6*s = -l + 338. Calculate the common denominator of 2/5 - s/20 and -109/10.
10
What is the common denominator of 147834/(-21105) + 3 + 9 - 5 and -5/42?
14070
Let o be 0 + 15*(-70)/15. What is the common denominator of (-41265)/1512*4/o and -133/30?
420
Suppose 0 = -3*q + q - 8, 0 = -3*d + q + 16. What is the common denominator of (447/d)/(54/4) and (-109)/18 - 0/6?
18
Let c = 2923 - 6759. What is the least common multiple of (-3)/(-4) + c/(-112) and 45?
315
Let y(v) = v**3 - 5*v**2 + 6*v - 5. Suppose -3*r + 5 - 3 = -5*c, 4*c - 16 = -2*r. Let o = -720 - -734. What is the lowest common multiple of y(r) and o?
42
Let s(b) = 11*b - 149. Calculate the lowest common multiple of 20/70 - 166/7*-1 and s(16).
216
Let b be (-30)/(4/112 + (-2)/8). What is the common denominator of 77/174 and 8 + (-2737)/b + 6?
1740
Suppose -4*y - 294 = -t - 77, -4*t - y + 902 = 0. What is the least common multiple of 558 and t?
13950
Let i(z) = z + 6. Let q be i(5). Let p(x) = x**2 - 14*x + 12. Let o be p(q). Let a = o + 25. Calculate the lowest common multiple of 12 and a.
12
Suppose 15*f + 88 = 19*f. Let x = 190 + -176. Calculate the smallest common multiple of x and f.
154
Let y = 11919 - 11891. Calculate the least common multiple of y and 2568.
17976
What is the smallest common multiple of (-10)/(-14)*(219 + -170) and 300?
2100
Suppose -243*o + 245*o - 16114 = -6*c, 2*o + 2688 = c. Calculate the lowest common multiple of c and 158.
2686
Let a = 6133 - 6123. What is the lowest common multiple of 130 and a?
130
Let c be (-10)/(-12)*72053*(-27)/20606400. Let k = c - 1/33920. What is the common denominator of -85/4 and k?
216
Suppose 241*d = 256*d - 7875. Calculate the smallest common multiple of 15 and d.
525
Find the common denominator of 119/10 and (14926/14912 - 1)*(316 + -288).
9320
Suppose -4*v - 17 = 5*i - 57, -2*i - 3*v = -16. Calculate the smallest common multiple of 7 and i.
56
Suppose 0 = 2*r - 4*m - 2, -4*m + 5 = m. Calculate the least common multiple of 126 and r.
126
Let z = 2638 - -734. What is the least common multiple of 30 and z?
16860
Let j = -93/17 - -152671/27948. Calculate the common denominator of j and -15/137.
1644
Let v = -68392 - -1367731/20. Calculate the common denominator of -1 - (-1 - (-179)/60) and v.
60
Find the common denominator of 1 - 2/120*-295 and 101/46.
276
Suppose 13*b - 2011713 = -217674. Let n = 15732469/114 - b. Find the common denominator of n and 46/9.
342
Let i be 38/171 + 104/18. Let k(v) = 2*v + 6. Suppose 0 = 16*j - 179 - 157. Calculate the least common multiple of j and k(i).
126
Let t(d) = 14*d + 240. Let y(q) = 4*q. Let o(m) = t(m) + 2*y(m). What is the smallest common multiple of 77 and o(-9)?
462
Suppose 0 = -4*c - 14 + 62. Suppose -c*z + 10*z - 50 = -2*k, 5*z - 15 = 0. Calculate the smallest common multiple of k and 70.
140
Let i = -53747/35310 + -53/535. Calculate the common denominator of (-154)/(-12) - 90/(-10) and i.
66
Let a = -765 + 729. Find the common denominator of (18/(-4)*24/a)/(-88) and -19/56.
616
Let c(f) = -f**3 - f**2 - 3*f - 1. Suppose -13 = -4*v + 5*b, -3*b = 5*v - 6*b - 26. Calculate the lowest common multiple of c(-2) and v/2*(-38)/(-7).
171
Let p be 4/(-6)*30/(-4). Suppose -p*t = -2*f + 269, -4*f + 0*t + 4*t = -532. What is the smallest common multiple of 16 and f?
528
Let g = -2399/42 - -172/3. What is the common denominator of g and 1 + -3 + 8544/1152?
84
Let s = 212/541 - 103269/140660. What is the common denominator of s and -23/390?
780
Let u = 1203/7 - 27033/154. Calculate the common denominator of u and 3/11.
22
Let n(u) = 164*u**2 - 68*u + 219. Calculate the lowest common multiple of n(3) and 21.
1491
Let o = -47305138/15 + 3155315. Let v = -1638 + o. Let z = -123635/11912 - -6/1489. Calculate the common denominator of z and v.
120
Suppose 12 = 3*b, b + b = -3*m + 5516. Let o = m - 9146/5. Let s = 21613/5685 + -2/1137. What is the common denominator of s and o?
5
Let b = 6 - -24. Suppose -8 = -3*x - x. Suppose -x*s - 3*s = -135. What is the least common multiple of s and b?
270
Let l(k) = -k**3 - 5*k**2 - 7*k - 6. 