 g = b + 7292. Find the common denominator of g and (1/(-5))/((-18)/1635).
6
Let c(f) = -23*f**3 + 5*f + 10*f**3 + 12*f**3 - 6*f**2 + 6. What is the smallest common multiple of 52/5 - 4/10 and c(-7)?
20
Let h = 524682 - 600760827/1145. What is the common denominator of -31/916 and h?
4580
Let h be (-8767*21/(-72))/(5870/(-3)). Let s = -18/587 + h. Find the common denominator of s and -57/20.
80
Suppose 2*h + 2500 = 4*f + 2692, h = f + 102. What is the least common multiple of 24 and h?
216
Let d(w) = -w**3 + 5*w**2 - 186*w + 933. What is the smallest common multiple of ((-3)/6)/((-2)/60) and d(5)?
15
Suppose -786 = -9*v + 24. Suppose 274 = 13*h - v. Suppose 5*s - 5 - 35 = 0. Calculate the least common multiple of h and s.
56
Let y = -16255 + 16266. Calculate the least common multiple of y and 9981.
109791
Suppose -3 = 3*p - 0. What is the smallest common multiple of 24 and -9*p/3*(-12)/(-9)?
24
What is the common denominator of -26/11 and 9275/1152 + 17 + 500/(-20)?
12672
Let g(j) = j**3 + 8*j**2 + 6*j - 10. Let v be g(-7). Let b = 9 + v. Calculate the least common multiple of 27 and b.
54
Suppose 2*z - z - 69 = 0. Let c(d) = -d**3 + 20*d**2 - d + 29. What is the smallest common multiple of c(20) and z?
207
Let p = 6514 - 32543/5. Calculate the common denominator of 39/2389 and p.
11945
Let d(z) = 148*z - 202. What is the lowest common multiple of d(15) and 9?
18162
Let b(x) = -2*x**2 - x + 3. Suppose 4*n - 5*z - 119 = 0, -6*z - 139 = -5*n - 3*z. Let t = n - 24. Find the common denominator of -49/2 and b(t).
2
Find the common denominator of 7/(-3) - (-1 + ((-1724)/264 - -3)) and -137/594.
594
Let t = 33711/267766061 + -778639132780327105/126921112914. Let o = -6134820 - t. Let x = o - -2/237. Find the common denominator of 107/6 and x.
6
Let w(s) = 14*s - 382. Let l(b) = 13*b**2 - 4*b + 3. What is the least common multiple of l(1) and w(28)?
60
Let x be (7 - 16 - -751)/2. Suppose 11*b - 437 = -x. What is the smallest common multiple of b and 86?
258
Let b = 3356 - 3272. Calculate the least common multiple of b and 658.
3948
Suppose -11*y = -15 + 81. Let x(p) = 16*p + 124. Calculate the smallest common multiple of 21 and x(y).
84
Let s(m) = -4*m**2 + 7*m + 14. Let y be s(-7). Calculate the common denominator of -1/8 and (-31)/62*(1 - y/(-534)).
712
Let f = 110527/12 - 9198. Suppose 0*v + 1696 = 2*v. Find the common denominator of (1/18)/(8/v) and f.
36
Let h = -6/8471 + 237974/1109701. Let s = 4325/3668 + h. Let i = 1058/3 - 741/2. Calculate the common denominator of i and s.
84
Let s(d) = 20*d + 8. Let l be s(-4). What is the common denominator of 63/124 and 182*-1*3/l?
372
Suppose 4*n = 5*l + 429, -218*l = -213*l + n + 449. Find the common denominator of l/(-114)*-11*5/(-55) and -50*(-2)/16*-6.
114
Calculate the common denominator of 644/42*(4 - ((-5324)/(-120))/11) and (296/(-32))/((-3)/(-2)).
90
Let y = -12411694 + 868756713/70. Let w = -884 - y. What is the common denominator of -89/4 and w?
140
Let q(c) = -c**3 - 5*c**2 + 6*c + 26. Let p = -298 - -292. What is the least common multiple of 18 and q(p)?
234
Suppose l - 1206 = -5*z, -z + 3*l - 25 + 263 = 0. Let j = z - 237. What is the smallest common multiple of 44 and j?
44
What is the common denominator of (-715)/(-550) - (-9)/(-4) and 73/1216?
6080
Suppose 252*u = 206*u + 101338. Calculate the smallest common multiple of u and 4.
8812
Let p be (-4)/(-26) - 15668/(-7475). Let d = p - -9/299. Calculate the common denominator of d and -41/3.
75
Let q = 18 + -8. Let s(h) = -2*h**3 + 30*h**2 + 2*h - 17. Let f be s(15). Suppose f*i - 15*i = -40. Calculate the lowest common multiple of q and i.
20
Suppose 79*i + 528 = 48*i + 53*i. Let x(b) be the second derivative of b**4/12 + 5*b**3/6 + 3*b**2/2 + b. Calculate the lowest common multiple of x(-5) and i.
24
Suppose 3*p = -5*m + 6, 5*p - 2223 + 2127 = 6*m. Let w(i) = -4 + 5*i**2 + 2*i**2 + 2. What is the least common multiple of p and w(2)?
156
Let i(o) = 13*o**2 + 24*o - 46. What is the smallest common multiple of i(3) and 39?
429
Suppose u = 1, -2*p = 33*u - 28*u - 133. What is the lowest common multiple of p and (5/1)/((-2)/(-4))?
320
Suppose 0 = -h - 2. Let a = h - -3. Suppose -5*x + 70*q + 25 = 65*q, 0 = -x + 2*q + 2. Calculate the lowest common multiple of x and a.
8
Find the common denominator of -4/11 and 6 - (1/(-10) + (-14 - 909483/(-45220))).
29260
Calculate the common denominator of 564/(-90) - 0/8 and (-10)/(-5) - (-98)/(-33).
165
Let c = 71297 + -3778454/53. Let d = c - 4661/1908. Find the common denominator of 11/40 and d.
360
Let n = 2173/6 + -358. What is the common denominator of 6 - 1 - 95/4 and n?
12
Suppose 3*j - 3*v - 821 - 463 = 0, 2*j + v = 859. Calculate the least common multiple of j and 117.
1287
Let q = 53 - 54. Let r be (2 - (q - 0)) + 1236/4. Let l = r + -3863/12. Find the common denominator of -37/52 and l.
156
Let q = 8/357 + 4379/1071. What is the common denominator of -131/8940 and q?
26820
Let l = -14772/11 - -5982143/4455. Calculate the common denominator of 52/297 and l.
4455
Let b = -262 - -263. Let y(z) = 44*z - 8. What is the lowest common multiple of y(b) and 16?
144
Let i = -71/177 + 8861/9735. Find the common denominator of -73/35 and i.
385
Suppose 6*m - m = -4*f + 125, 4*f - 5*m - 115 = 0. Calculate the least common multiple of f and 110.
330
Let v = -23456/29 - -808. Calculate the common denominator of v and 13/99.
2871
Let o(w) = 4*w**3 + 2*w**2 + 14*w - 23. Let f(l) = -l**3 - l**2 - 4*l + 8. Let z(i) = 7*f(i) + 2*o(i). What is the least common multiple of z(2) and 14?
42
Let g = -2145/8 - -4247/16. Let n = 27656650/1413 + -19573. Let i = 142715/2826 - n. Find the common denominator of i and g.
16
Suppose 0 = -10*u + 6*u - 116. Let g = u - -28. Calculate the common denominator of 25 and g/(-9) - 68/(-198).
11
Let s be 4/26 - 8364/50310. Let l = 2351/258 + s. Let f = -80/11 - -1561/198. Calculate the common denominator of l and f.
90
Find the common denominator of 67/624 and -410*(-10)/400*(-2)/(-6).
624
Let b(a) be the first derivative of 2*a**2 - 30*a + 7. Calculate the smallest common multiple of b(9) and 10.
30
Let y = 35/33 - -46/33. Suppose 239 = 25*d + 64. Let h(l) = l**3 - 9*l**2 + 9*l - 8. Calculate the common denominator of h(d) and y.
11
Let j = -306 + 316. Suppose 2 = 2*g - g - 5*m, 0 = -g - 4*m + 29. What is the lowest common multiple of j and g?
170
Calculate the lowest common multiple of 6 and (14 - (-9318)/30)*10.
3246
Let p(l) = -66*l - 129. Let t be p(-2). Suppose -2 = -3*g - 4*q, g + 0*q - q = t. What is the lowest common multiple of g and 268?
268
Calculate the common denominator of (-8)/(-14) + 17997/(-7056) and -83/112.
336
Suppose 3*l - 606 = -5*c - 1970, -c = -4*l + 259. Let a = -1077/4 - c. What is the common denominator of a and (-20)/(-130) + (-582)/65?
20
Calculate the common denominator of 87/1336 and 27 - 0 - (-3453248)/(-128256).
4008
Suppose 0 = 3*k - h - 111, -2*h - 46 = -k - 4. Let l = k + -66. What is the common denominator of (4/l)/(24/(-910)) and 9/22?
198
Suppose a - 404 + 376 = -4*s, 60 = 5*a + 4*s. Calculate the least common multiple of a and 1772.
3544
Let p = -415/21 - -16747/840. What is the common denominator of 28/7375 and p?
59000
What is the lowest common multiple of 1 - (-16 + 18)/((-1)/38) and 1239?
13629
Let v = 60213 + -3010531/50. What is the common denominator of v and -11/965?
9650
Let y be 378/(-22) - 7 - 2/(-11). Let t be (9/12)/(2 - (-42)/y). Suppose -5*l - t*v = -4*l - 15, -l = -2*v. What is the smallest common multiple of l and 30?
30
What is the least common multiple of 105 + -111 - (-60)/3 and 1716?
12012
Let a = -1831066/59 + 31036. Let z = 4421/236 - a. Let f = 86583/10 + -8646. What is the common denominator of f and z?
20
Let n(y) be the first derivative of -y**4/4 - 4*y**3/3 - y**2 + y + 10. Let q = -1977 + 2049. What is the least common multiple of q and n(-4)?
72
Suppose 4693 + 4778 = 77*b. What is the smallest common multiple of 222 and b?
9102
Suppose 10*r - 15*r + 40 = 0. Calculate the lowest common multiple of r - 3*10/15 and 9.
18
Let f(q) = -q + 3. Let k be f(-3). Suppose 0 = -k*b - 12 + 6. Find the common denominator of 89/12 and 6/10 + b/1040*1214.
312
Let t be 4/6 - (-4248)/(-459). Let i = 1/1288527 + -1769147911/4380991