t x = o - 16033/9716. Calculate the common denominator of 184640/(-2688) + 69 - 5/(-6) and x.
140
Let i(r) = 33*r**2 - 19*r - 40. Calculate the least common multiple of i(3) and 200.
200
Let h be 8/(-36) - (184990/(-18) + 0). Let c = 113161/11 - h. Let s = c - 889/55. Calculate the common denominator of 45/7 and s.
35
Let t(v) = 5*v**2 - 6*v + 4. Let q be t(4). Find the common denominator of -151/30 and ((-9)/q)/((-75)/(-475)).
60
Calculate the lowest common multiple of (7 + -3)*(-1 - -23) and (-360)/35*525/(-150).
792
Let f(b) = -2*b - 19. Let z be f(-13). Suppose 4*h = 3*q - 21, -2*q - z*h = -12*h - 21. What is the least common multiple of q and 3?
3
Suppose 57 = f - 15. Let s = 5 + 3. What is the smallest common multiple of f and s?
72
Find the common denominator of 25/(-325) - ((-163509)/81900 - -2) and -139/1470.
14700
Let c = 16550 + -364009/22. Calculate the common denominator of (-14)/(-105)*147/(-40) and c.
1100
Suppose 26 = 2*j - 2*g, g = 1 + 3. Suppose -26*f + 27 = -j*f. Calculate the least common multiple of 15 and f.
15
Let f be 24/16*(-40)/(-3). Suppose -20 = -4*y + f. Suppose -y = 122*c - 124*c. Calculate the smallest common multiple of c and 10.
10
Let f = 39949/29 - 51851685/37642. Find the common denominator of 15/44 and f.
2596
Let p = 28781 + -2763001/96. Calculate the common denominator of p and 121/160.
480
Let p(c) = 31*c**2 - 12*c + 252. Let l be p(14). What is the common denominator of -89/42 and 2/4 + (-9075)/l?
336
Let y = -252 - -255. Find the common denominator of (y/36)/((-1782)/(-592) - 3) and 754/140 - 4/14.
90
Calculate the common denominator of (2/(-84)*61)/(205/(-615)) and 81/1316.
1316
What is the lowest common multiple of (-6)/(-16) - (-25137)/1064 and 843?
6744
Let n = 2127/22 - 58573/594. Calculate the common denominator of -179/1530 and n.
4590
Suppose -h = 25*h - 104. Suppose 0 = -2*r - 5*z + 51, 96 = 5*r - 2*z + h*z. What is the smallest common multiple of r and 25?
450
Suppose 0 = -4*w + 3*m - 10, 10*w - 12*w + 4 = 3*m. Calculate the common denominator of (1 - (0 + 606/(-12))) + w and -137/18.
18
Suppose 3*p = -2*s + 47574, 5*s = p - 5*p + 63439. Let d = p + -317019/20. Let f = -7824 + 93793/12. What is the common denominator of f and d?
60
Let o = 12625/2 - 151421/24. Let a be ((-4)/(-6))/(-9 - (-4040)/450). Calculate the common denominator of o and ((-205)/a)/(9/(-2)).
216
Let d be 33/9 - (-2)/(-3). Suppose d*f - 2*h + 7*h = 11, 31 = 3*f - 5*h. Calculate the lowest common multiple of (32/4 + -5)*f and 9.
63
Suppose -3600 = 136*a - 216*a. Calculate the least common multiple of 201 and a.
3015
Suppose -8287 + 11121 + 12526 = 32*z. What is the least common multiple of z and 408?
8160
Let t = -946141/276 + 13715/4. Find the common denominator of t and -93/80.
5520
Let h be (-6)/(-21) + 46/(-896). Let v = 159/902 - -496367/144320. Let y = v + h. What is the common denominator of 109/40 and y?
40
Let b = -239 - -246. Calculate the common denominator of b - (88/560 + 7) and -87/10.
70
Suppose -4*c - 48 = -3*s - c, s - 4*c = 4. Let k(g) = 1479*g - 13267. Calculate the least common multiple of s and k(9).
220
Let b(w) = w**3 + 5*w**2 + w. Let p be b(-4). Find the common denominator of (-290)/132 + 3/9 and p/(-4) + 37/20 + 0.
220
Let a(b) = b**3 - 19*b**2 - 48*b - 12. Let x be a(21). Find the common denominator of -1 - x/(-330)*-4 and -49/30.
330
What is the common denominator of (-513)/855 - 7418/(-12355) and 34/35?
12355
Let q = 79/3378 - -14209/126675. Calculate the common denominator of 29/40 and q.
1800
Suppose 42 = 12*x - 9*x. Let o(s) = 13*s**2 - 18*s - 10*s**2 - x + s**3 - 11*s**2. Calculate the lowest common multiple of o(10) and 12.
12
Let n be 24/((2/(-20))/(3/(-9))). Suppose 19*h - 14*h - n = 0. Suppose 4*s - 4*u - 27 = 85, -s = 4*u - 8. What is the lowest common multiple of s and h?
48
Let u(k) = -4*k**3 - 3*k**2 + 1. Let x be u(-2). Suppose 0 = t - x + 57. Find the common denominator of -49/22 and (t/176)/(3/(-92)*-2).
22
Suppose -b + 4*z - 4045 = 0, 3*b + 0*z + 2*z = -12065. Let f = b + 40293/10. What is the common denominator of f and -2 - -4 - (-248)/(-36)?
90
Find the common denominator of (-37)/(-3)*(7 + 369/(-54)) and -43/614.
5526
Let b = -12 - -8. What is the common denominator of (27 - (-3224)/(-65))*1*(-2)/4 and b/(-24) - (-115)/12?
20
Let m(b) = -b + 5*b + 69 - 2*b**3 + 5*b - 76 - 19*b**2. Calculate the lowest common multiple of 102 and m(-10).
102
Suppose f + 6*f = 21. Suppose 9*k = 3*k + 42. Suppose f*x - u = -k + 18, -2*u = -x + 12. What is the lowest common multiple of x and 13?
26
Let j be 1*(-1)/(-2)*-16. Let r = 24 + j. Let n(c) = c**3 + 172*c**2 + 2351*c - 40. Calculate the least common multiple of n(-15) and r.
80
Suppose 272 - 48 = -16*x. Let y(d) = -3*d - 37. Let o be y(x). Suppose 14*u - 360 = o*u. Calculate the least common multiple of 3 and u.
120
Let p be (-4258426)/(-396) - (-4)/8. Let y = -10754 + p. Find the common denominator of -49/11 and y.
99
Let y(q) = -79*q + 8. Let f be y(-2). Let v = f - 148. What is the smallest common multiple of v and 30?
90
Suppose 0 = -2*v - 0*v - 2*g + 18, 4*g + 24 = 2*v. What is the lowest common multiple of 33 and (24/v)/(3 + (-219)/75)?
330
Let j be (282/8)/(9/24). Let o = j - 95. Find the common denominator of -23/10 and (0 + o)*57/7 - -1.
70
Let l be (-1399070)/(-649026) + (40/35)/4. Let i = l + -1/5454. What is the common denominator of i and ((-10)/24)/((-4)/(-78))?
136
Let u = -7644 - -7668. Let p = 139 + -82. What is the lowest common multiple of u and p?
456
Let d be 2/6 - 4247/(-93). Let u(x) = d - 4*x - 48 + 6*x. Calculate the least common multiple of u(6) and 7.
70
Let p(n) = -n**3 - 56*n**2 + 49*n - 221. Calculate the smallest common multiple of 987 and p(-57).
4935
Let d(s) = s**3 + s**2 - 7*s + 6. Let f be d(5). Suppose -7 + f = 6*p. Suppose -p*m = -14*m - 20. What is the least common multiple of m and 6?
12
Let h = -4818 - -5764. What is the lowest common multiple of h and 20?
9460
Let x = 46 - 49. What is the common denominator of (1064/(-36))/(x - 1) and 10/(-130) + 295/(-52)?
36
Calculate the smallest common multiple of 1332 and (-144)/27*81/(-6).
2664
Let l be ((-5)/3 - -2)/(2/492). Let x = -76 + l. Calculate the lowest common multiple of x and 12.
12
Calculate the common denominator of 55/6 and 797/5220 - -22*24/(-2376).
1740
Let i = -46 + 52. Let a be ((-3)/i)/((-2)/(-184)). Let l = a - -50. Calculate the lowest common multiple of l and 16.
16
Let r(w) = -13*w**2 + 9*w + 22. Let z(c) = -15*c**2 + 9*c + 22. Let g(h) = 7*r(h) - 6*z(h). What is the least common multiple of 14 and g(7)?
252
Suppose -15*c + 72*c = 113376 - 2055. What is the smallest common multiple of c and 744?
15624
Let m = 42 - 34. Suppose -3*n = n - m. Suppose g - 2*k = 6, n*g - g = -5*k + 6. What is the smallest common multiple of 30 and g?
30
Suppose 4*i = b - 64, -5*i + 8*i = -3*b + 117. Let z = b - 28. What is the smallest common multiple of 8 and z?
16
Let a = -294/109 + 3691/5450. What is the common denominator of a and -123/10?
50
Let l(c) = 14*c**3 + 14*c - 27*c**3 + 4 + 12*c**3 + 3 - 2*c**2. Let v be l(-5). What is the common denominator of (-5)/(-5) + 189/v and 20/7?
28
What is the least common multiple of ((-6)/(-2))/(456/49400) and 26?
650
Let j = 29114391/1130 - 25765. Calculate the common denominator of j and -47/904.
4520
Suppose 2*j + 2*j = 224. Calculate the least common multiple of -7*(((-80)/12)/5)/((-6)/(-9)) and j.
56
Let k = -11 - -97. Let y = k - 81. Suppose -v + d + 34 = 3, -y*v + 173 = 4*d. Calculate the lowest common multiple of 33 and v.
33
Let z = -45797/6 + 7650. Let p = 231/130 - 14/13. Calculate the common denominator of z and p.
30
Let a = -7077 + 7125. Let r(k) = 5*k - 12. Calculate the smallest common multiple of r(4) and a.
48
Let u(f) = f**3 - 21*f**2 - 18*f - 83. Let t be u(22). Suppose x - t*y = 0, -15*y + 13*y = -5*x + 46. Calculate the lowest common multiple of 13 and x.
130
Let c = -126 - -127. Let r(g) = 2*g**3 - g**2 - g + 1. Let k = 79/24 - -7/3. What is the common denominator of k and r(c)?
8
Let s = 1183 - 5962/5. Suppose n - 7 + 3 = 0. What is the common denominator of 6/(-16) - n/(384/1156) and s?
60
Let h = -20188538/4820574759 + -2/1262261. Calculate the common denominator of 83/268 and h.
1527