-500))/((-5045)/25 + 2).
5328
Let l = -462 + 183. Find the common denominator of 11/16 and l/(-240)*(-10 + 12).
80
Let v(d) = 4*d - 31. Let j be v(9). Suppose 5*x - 30 = j*w, -2*w = 5*x + 3*w - 60. What is the lowest common multiple of 63 and x?
63
Let a = 18 - 0. Suppose 9 + 66 = 15*o. Suppose 25 = p - o*j, -2*p = -15*j + 13*j - 58. What is the least common multiple of p and a?
90
Calculate the lowest common multiple of 7/((-70)/(-30))*227 and 9.
2043
Let f = 77610773/240 - 323379. What is the common denominator of f and -47/15?
240
Let k(a) = -11*a + 26*a - 9*a - 9*a + 54. Calculate the least common multiple of k(7) and 69.
759
Suppose 8*m - 9*m - 4909 = 0. Let o = m - -29387/6. Find the common denominator of o and 89/36.
36
Let h = 2634 + -2134. What is the lowest common multiple of h and 400?
2000
Let c = -372959/60 - -6216. Calculate the common denominator of -83/150 and c.
300
Find the common denominator of -151/12 and (-650)/(-4088)*6/3*2/(-20).
6132
Let q(c) be the third derivative of c**5/10 + c**3/6 + 3*c**2. Let a be 95/(-57) + 4/(-6)*-1. Calculate the lowest common multiple of q(a) and 3.
21
Let c(h) = h**3 + 13*h**2 + 8*h + 14. Let o be c(-13). Let q = -292 + 441. Let y = o + q. Calculate the least common multiple of 9 and y.
531
Let c(a) = 144*a - 14. Suppose -l = -2*j - 3 - 0, -3*l = 5*j + 2. Let f be c(j). What is the common denominator of 125/6 and f/24 + 5/(10/(-8))?
12
Let i = -256 + 260. What is the lowest common multiple of -7 + 15 + 112/i and 140?
1260
Let n = -26303 - -78859/3. Let r = 147415/5507254 + -1/16342. Calculate the common denominator of r and n.
1011
Let a(m) = 8*m - 4. Let y be a(8). Suppose 27*d = 39*d - y. Let z = 22 - 12. What is the least common multiple of d and z?
10
Suppose 0 = -b - 2*c - 5, c + 2*c = 2*b + 3. Suppose -86*v + 2*q = -87*v + 30, 4*v - q - 84 = 0. What is the least common multiple of 18 + (b/3 - -3) and v?
220
Suppose -583 = d - 39*m, -23*d + m = -21*d + 11. Let g(l) = 2*l - 2. Let j(z) = -z - 1. Let k be j(-3). What is the smallest common multiple of g(k) and d?
2
What is the common denominator of 2/(-12)*(67/(-737) - (-235)/770) and 4/14 + 347/(-112)?
112
Let u be (-1)/(-2) + 21/2. Suppose u*b = 6*b - 15, -b - 9 = -k. Let f(p) = 7*p**2 + 8*p - 17. Calculate the lowest common multiple of k and f(3).
210
Let u = 498731/30 - 16626. Find the common denominator of u and 40/741.
7410
Suppose 0 = 2*a - 35 + 5. Suppose 0 = -5*x, -5*x + 35 = 3*b + 2*b + 5. Calculate the least common multiple of 2 and 4/b + 1055/a + -7.
64
Calculate the common denominator of 8/(-4) + (766/134)/(3 - 0) and 51/469.
1407
Let y be ((-8)/100)/((-7)/((-155001)/2472)). Let w = y - -401/206. Calculate the common denominator of w and 59/6.
300
Let z = -59918 + 40267. Let o = z - -353569/18. What is the common denominator of 41/33 and o?
198
Let f = 5/226 - -7747/2260. Let z = -612 + 606. Calculate the common denominator of f and ((-99)/(-3))/11 + 59/z.
60
Let z = -53203/3 - -18110. Let k = z - 392. Find the common denominator of -61/22 and k.
66
Let l(h) = -h**2 + 47*h + 204. Let u be l(-4). Suppose -66*o + 18*o + 960 = u. Calculate the least common multiple of (-4)/(1/(-7)*2) and o.
140
What is the common denominator of 65/792 and (158/(-336))/(12/14)?
1584
Suppose 2*u + 2*p = 6, 4*u - 1 = 4*p + 11. Calculate the common denominator of 119/54 and ((-2015)/325)/(u/((-3)/10)).
1350
Let w be (10202/(-24))/((-11)/(-2) - 6). Let l = -2512/3 + w. Find the common denominator of l and 17/44.
132
Suppose 0 = r + 4*j + 43, -2*r - 21*j + 18*j - 66 = 0. What is the common denominator of 61/66 and (-1197)/12*(-6)/r?
66
Let v(k) = k**3 - 19*k**2 - 635*k - 7. What is the lowest common multiple of 1330 and v(37)?
7980
Let l(b) = b**3 + 22*b**2 + 95*b - 26. What is the smallest common multiple of l(-13) and 130?
260
Let y = -7/282358 + 4384797/3180056975. What is the common denominator of 77/4 and y?
90100
Let k = 55349/270684 + -55/1314. Calculate the common denominator of k and 99/8.
824
Suppose -5*f - 295 - 170 = 0. Let p = 50 + f. Let q(g) = -g**2 + 32*g - 207. Find the common denominator of p and q(23).
1
Suppose 6 = 5*c - y, -3*c - 5 = 4*y - 4. Let u = 9 - c. Calculate the smallest common multiple of 7 and u.
56
What is the smallest common multiple of 2/(-6) - (-4070)/33 and 5?
615
Suppose 156364 + 155132 = x. Let y be x/252 + 4/(-42). Calculate the common denominator of 139/18 and 6/10 - y/(-240).
36
Let p = -68481 - -68651. Let z(b) = 3*b. What is the smallest common multiple of z(4) and p?
1020
Let c be (-45)/52780*-57530 + 2/7. Let o = -1356/29 + c. Calculate the common denominator of o and 85/12.
156
Let n = -213 + 159. Find the common denominator of -43/48 and 2 - (2/(-32))/(n/2007).
96
Let h(j) = -20*j + 48*j - 26*j + 6718. Let i be h(0). Let l = -107413/16 + i. What is the common denominator of l and 57/14?
112
Let x be (-1)/(-5) + (-1188)/(-60). Let v be (8/(-260))/(2 + 552/x). Let j = 4090/1443 + v. Calculate the common denominator of j and 125/12.
12
What is the common denominator of (14*2/36 - 1)/((-5075)/840) and -107/30?
870
Let o(a) = a + 1. Let i(d) = -d + 2. Let m be i(-5). Calculate the smallest common multiple of -2 - (-14)/6 - ((-7216)/(-48))/(-11) and o(m).
56
Suppose 123 = 2*n - 3*d, 222*d - 218*d + 260 = 4*n. Let g(t) = -t**3 + 2*t**2 + 2*t - 1. Let v be g(2). Find the common denominator of -43/24 and 7 - v - 836/n.
72
Calculate the lowest common multiple of 1516 and ((23 - -8) + -25)/((-12)/(-22)).
16676
Let f = 1/574398 - -4946159/26422308. Calculate the common denominator of -169/180 and f.
4140
Let m = -1025573/150 + 6838. What is the common denominator of m and -47/1680?
8400
Suppose 3*h + 296322 = s, 29*s + 9 = 26*s. Calculate the common denominator of (h/2106)/(-25) + (-2 - 0) and 109/18.
234
Suppose -600 + 67 = -124*n + 211. What is the least common multiple of n and 9642?
9642
Let d = -794881/234 - -44233/13. Let y(p) = p + 1. Let b be y(0). Find the common denominator of b/4 - 3/(-20) and d.
90
Let g(w) = -2*w**3 - w**2 - 3*w + 3. Let s be g(5). Let n = s - -308. Suppose 72 = 3*q - 0. Calculate the smallest common multiple of q and n.
168
Calculate the common denominator of (-2966)/(-416) - 188/(-470)*(-70)/4 and 33/40.
1040
Let a = 14 + -10. Find the common denominator of (54/(-180))/(12/(-940)) and a/16 - (-169)/(-20).
10
Let v(k) = k**2 + 14*k - 25. Let j be v(-19). Let b = 216 - j. What is the smallest common multiple of b and 2?
146
Suppose 0*s + s = 4. Let k(i) = 8*i - 18. Let x be k(s). Suppose 0 = -10*u + x*u - 16. What is the lowest common multiple of u and 20?
20
Let y be (20/(-6))/((-96)/25572). Let t = -899 + y. Calculate the common denominator of t and 600/54*(20/8 + -1).
12
Let h be (-4 - (-22832201)/(-20))/13. Let x = 87816 + h. Let y = -122/49 - -2885/588. Calculate the common denominator of y and x.
780
Suppose 45 = -17*r + 11. What is the common denominator of 85/(-30)*(r - 64/(-30)) and -62/45?
45
Let i = -2 - -19. Suppose -i*p = -22*p. Suppose -48 = -p*a - 3*a. What is the least common multiple of a and 4?
16
Let a = -26689 + 26701. What is the least common multiple of 20 and a?
60
Let r = 77 + -32. Let v = 8091 + -8071. What is the least common multiple of v and r?
180
Let z(w) = 2*w - 10. Let i be z(7). Suppose v + 3*b + 6 = 2*v, 0 = i*b + 4. Suppose -5*t = -v*t - 14. Calculate the lowest common multiple of 8 and t.
56
Let q be (-380140)/(-30)*108/5200. Let n = q - 3447/13. What is the common denominator of n and -29/8?
200
Suppose 0 = 2*b + f + 1, -f = b + f + 2. Find the common denominator of 87/26 and b + ((-39)/(-70))/((-4)/30).
364
Let i = 223 + 416. Calculate the least common multiple of 497 and i.
4473
Suppose u + 34 = 3*j, 21 = 3*j - 4*u - 7. Suppose 0 = 3*s - 24, -324*s = -4*b - 315*s - 24. Calculate the lowest common multiple of b and j.
12
Let f = -5 - 35. Let b = -44 - f. Calculate the common denominator of -67/10 and 10/b*(-39)/(-65).
10
Suppose 311 = 3*d + 779. Let h = 43096 - 216316/5. Let u = h - d. Find the common denominator of u and 53/5.
5
Let l = 3 - -15. Let x(q) = -3*q**2 - 6*q - 44 + 7*q + 11*q + 4*q**2. What is the smallest common multiple of l and x(-16)?
180
Suppose -3*h - 16*h = h - 2400. What is the smallest common multiple of h and 480?
480
Sup