the common denominator of 23 - 51/2 - (-90)/16 and 71/106.
424
Let b = -6038940599/4908 + 1230428. What is the common denominator of -82/33 and b?
53988
Let x = 851899/54 + -15775. What is the common denominator of x and 91/258?
2322
Find the common denominator of -23/286 and 22/(65208/3173) - 1.
1716
Let z = -14649 - -15167. Calculate the least common multiple of 1332 and z.
9324
Suppose 0 = -0*c + c - 143. Suppose 19*o = 11*o + 5902 - 4342. Calculate the least common multiple of o and c.
2145
Let a = -221705 + 57200015/258. Calculate the common denominator of a and 77/12.
516
Suppose -5*y - 5*k + 4919 - 3984 = 0, y + 4*k = 208. What is the least common multiple of y and 72?
360
Let f = 325981/20 - 16293. Find the common denominator of 93/172 and f.
860
Find the common denominator of ((-283)/849)/(3/43) and 65/1*1/(-9).
9
Let k(t) = -t**3 - 4*t**2 + 10*t - 8. Let b be k(3). What is the common denominator of (b/(-24) + -2)/((-150)/(-40)) and 73/20?
180
Let n(l) = 21*l**2 + 6*l + 7. Let x be 2 - (-7 - -2)*1. Let i be n(x). Find the common denominator of 61/16 and (1/(-2))/(-1) - i/374.
272
Let b = 227 - 227. Suppose -2*t + 4*i + 98 = b, 6 - 4 = -i. Suppose 2*o + 0*o = k - 9, o + 15 = 4*k. Calculate the smallest common multiple of t and k.
45
Let a be 2/(-4) + 759/14. Let d = a - 3697/70. Let k = -7883 - -78843/10. Calculate the common denominator of k and d.
10
Suppose -2941 + 301 = -165*n. Calculate the lowest common multiple of n and 2132.
8528
Suppose -3*v + 5*r + 12 = 0, -2*r - 5 = -2*v + 3. Let x(g) = 27*g - 28. Calculate the least common multiple of v and x(4).
80
Let k be (-12 + 9 - -2) + (-168 - -1). Let d = k + 200. Calculate the smallest common multiple of d and 20.
160
Suppose 10887 - 3665 = 2*q. Suppose 4*l - q = 4397. What is the common denominator of -61/16 and (l/(-40))/(-11) - 1?
80
Let d = 10179/20 - 91237/180. Let t = 1677/8 - 41801/200. What is the common denominator of d and t?
450
Let g be (-2599406)/(-34) + (3 - 106/34). Suppose g = 5*n - 32427. Let a = n + -849197/39. Calculate the common denominator of 26/33 and a.
429
Let p = 6/1127 - 4061/6762. Find the common denominator of p and 67/56.
168
Let r(y) = y**3 + 116*y**2 + 1593*y - 84. Calculate the least common multiple of r(-100) and 440.
3080
Let f(x) = -x**3 + 3*x**2 + 2. Let z(c) = 2*c**2 + 325*c + 8781. What is the lowest common multiple of z(-129) and f(3)?
138
Suppose 5*u = -2*a - 4321, 24*a = -2*u + 21*a - 1735. Let x = 879 + u. Calculate the lowest common multiple of 42 and x.
336
Let u be (-6542)/(-20) + 2/(-20). Let t = u + -43. Suppose 0 = 22*q - 24*q + t. What is the least common multiple of q and 12?
852
Let p(q) = 10*q - 10. Let m be (9 + -1)*((-18)/(-12) - 1). Let n be p(m). Suppose n*c = 24*c + 96. Calculate the common denominator of 57/14 and c.
14
Suppose 4*c = i + 4, -5*i - 5*c + 26 = -54. Calculate the smallest common multiple of 58 and i.
348
Let x(n) = n**3 + 4*n**2 - 16*n + 12979. What is the smallest common multiple of 10 and x(0)?
129790
Let r(n) = -n**2 - 21*n - 54. Let f be r(39). Let j = -26296/11 - f. Calculate the common denominator of -67/9 and j.
99
Suppose c + c - l - 5 = 0, 0 = c + l - 1. Let s = -724 - -72. Let g = -642 - s. What is the least common multiple of c and g?
10
Let g = -564205/77526 + -2/12921. Find the common denominator of ((-178)/(-102))/((-46)/(-69))*(-10)/420 and g.
4284
Suppose 0 = 3*m + 3, -4313 = 5*a + m + 2*m. Let y = a + 3806. Let i = y - 41233/14. Find the common denominator of i and 41/14.
14
Let i(t) = -t**3 - 19*t**2 - 29*t + 7. Let p be i(-14). Let u = p - -707. What is the smallest common multiple of u and 77?
1540
Let m = 338 + -311. Calculate the common denominator of ((-34)/m)/(-17)*(-30)/8 and -77/18.
18
Let f = 81736505/12 - 6818860. Let i be (-1)/(-2)*1*14956. Let x = i + f. Calculate the common denominator of 85/21 and x.
84
Let z = 2/27551 + 1763210/743877. Let j be (-568644)/(-1137192) - (-1)/(-2). Let r = 4027591/852894 - j. Find the common denominator of r and z.
54
Let k(a) = -3*a**3 - 2*a**2 - 3. Let t be k(-2). Let l = t - 8. Suppose 3*h + 65 = l*g + 8*h, 0 = -3*h + 12. What is the least common multiple of g and 3?
9
What is the common denominator of 149/216 and ((-7250)/(-5400))/(3/(-9))?
216
Let z be ((-18)/5)/(53/60). Let t = -7037/2650 - z. What is the common denominator of 111/40 and t?
200
Let f be (6 + (-1183)/196)*-230150. Let s = 8213 - f. Calculate the common denominator of s and (6/(-5))/(16/50).
28
Let z be (-7)/(6/15*4/(-8)). Calculate the lowest common multiple of 318/(-5)*z/(-21) and 20.
1060
Calculate the smallest common multiple of (-16048)/51*(-9)/6 and 56.
3304
Let q = -23 + 3. Let i be (-26)/(-10) - (4 - (-88)/q). Suppose 3*l = -3, f + l = -i*l - 1. What is the least common multiple of f and 3?
3
Calculate the common denominator of (166/(-6))/(3/(-36)*-56) and -85/134.
938
Suppose -2*m + 163 = -173. Let w(t) = -t**3 + 45*t**2 + 25*t + 1014. What is the least common multiple of m and w(46)?
336
Find the common denominator of (-76)/(-22)*(-30 - (-41264)/1376) and 3/110.
4730
What is the common denominator of ((-10)/(-394)*(-1643)/265)/(-3 - -1) and -51/985?
1970
What is the common denominator of (((-1572)/12150)/(-1))/(7 - -5 - 8) and 25/648?
16200
Suppose -150*k - 1229 = -155*k - l, 0 = 3*l + 3. Calculate the least common multiple of k and 820.
2460
Let s = -380/9 - -8243/198. Let q = 635/154 - s. Calculate the common denominator of q and -37/8.
56
Let k be (3 - 9/(-12)) + (-1)/(-4). Let g be (57/k)/((-1)/4). Let j = g + 68. What is the smallest common multiple of j and 3?
33
Suppose 5*r - 54 + 39 = 0. Suppose 405 = r*z - 162. What is the lowest common multiple of 24 and z?
1512
What is the common denominator of -51/22 and 262/(-13100)*(-10)/3294?
181170
Suppose -12*m - 2349 + 2433 = 0. Let t = 1 + 13. Let u = t + -4. Calculate the lowest common multiple of u and m.
70
Let f(r) = -r**3 - 9*r**2 + 19*r - 23. Let n = -146 - -135. What is the least common multiple of f(n) and 5?
10
Let w = 11184 - 10920. Calculate the smallest common multiple of w and 12.
264
Let a be (-63)/9*-10*3/21. Suppose a*t = 487 + 753. Calculate the lowest common multiple of t and 20.
620
Let m be -9 + 7 - ((-83332810)/156)/(-11). Let d = 48563 + m. Find the common denominator of d and -119/30.
390
Let r(w) = w**2 + 6*w + 7. Let m be r(-7). What is the lowest common multiple of (-22)/(-4) + (-7)/m and 124/12 + 1/(-3)*1?
10
Suppose 148 = -7*i - 41. What is the lowest common multiple of 110 and (1 - (-1 - -1))*(-270)/i?
110
Let n = 55239 - 14748835/267. Calculate the common denominator of n and -74/9.
801
Let l = -40448/429 - -1025/11. Find the common denominator of l and 34/1767.
22971
Let r(w) = 5*w - 8 - 16 - w**2 + 8. Let l be r(5). What is the smallest common multiple of (6 - 3)*l/(-12) and 9?
36
Suppose 5*b - 5*z = 5, 3 = 4*b - 3*z - 2. Suppose -5*p + 2*q = -24 + 4, -2*q = b*p - 22. What is the least common multiple of 18 and 28/1 - (p - 2)?
72
Suppose 0 = 2*v + 4*j + 56, v + 3*j = -4 - 27. Let s = -23/19 - -1129/38. Find the common denominator of s and (v - 1)*(0 - 1/(-38)).
38
Let l = 39272033/507649194 + 9/241049. What is the common denominator of 61/150 and l?
52650
Find the common denominator of 1/((-312)/2509) - -4 and 43/57.
456
Suppose -a + 1249 = 5*w, 0 = 20*a - 18*a - 4*w - 2596. What is the lowest common multiple of a and 12?
1284
Suppose -40*z = -19*z - 5754. Suppose -v + x + 72 = 0, -4*v = 4*x + 18 - z. Calculate the least common multiple of 170 and v.
340
Suppose -10*y + 7*y + 330 = 0. Calculate the lowest common multiple of 19/17 - 32/272 and y.
110
Let x(p) = 10*p - 14. Let h be x(2). Suppose h*k = -6*k + 108. Calculate the smallest common multiple of 21 and k.
63
Suppose -3 = -3*h, a - 4*h - 532 = 19. Calculate the smallest common multiple of 2 and ((-8)/5)/((-37)/a).
24
Suppose 2675 = 5*n + 5*j, 3*n + 7*j - 2*j = 1605. Suppose 2*r = 7677 - n. Let q = r - 35669/10. What is the common denominator of -79/70 and q?
70
Let m be (-116)/(-6) - (-1)/(-2 + -1). Let h(z) = -z**3 + 20*z**2 - 15*z - 62. Calculate the smallest common multiple of h(m) and 34.
238
Let x = 748 - 670. What is the smallest common multiple of x and 338?
1014
Let m = -1851 + 1863. Suppose -12 - 21 = -3*s. Calculat