7 - (-209)/77). Suppose u = 3*o - 10, v*u - 4*o + 0 = -16. Calculate the common denominator of u*2/8 + (-291)/(-180) and -93/22.
330
What is the lowest common multiple of ((-600)/84 - 2/(-14)) + (-1440)/(-20) and 585?
585
Let a = -5935 + 5959. Calculate the smallest common multiple of 591 and a.
4728
Let j = -195346 + 193001831/988. Find the common denominator of 13/14 and j.
6916
Find the common denominator of (6/(-306))/(22/16 - (-5 + 5)) and -91/306.
3366
Let s(q) = q**3 - 40*q**2 + 8*q - 318. Let v(c) = c**3 - c**2 + c + 6. What is the least common multiple of v(0) and s(40)?
6
Suppose -3*t = 3*f - 36, -5*f = -3*t + 6*t - 64. Let q be ((-6)/(-9))/(2/30). Let s = 11 - q. Calculate the smallest common multiple of s and f.
14
Let d = -640 + 641. Calculate the common denominator of d + 158/(-84) + 66/44 and 54/133.
399
Let f = -95963 - -863668/9. Calculate the common denominator of 2/3 + (-472)/876 and f.
657
Suppose 11*j + 115 - 368 = 0. Let l(o) = o + 21. Let x be l(j). Suppose 25 = x*m - 39*m. What is the lowest common multiple of 4 and m?
20
Let w = -1418258/220605525 - -1/108941. Find the common denominator of w and -31/270.
4050
Let p(y) = y**3 - 15*y**2 - y - 9. Let t be p(-7). What is the common denominator of 43/36 and 3474/t - (-2)/1?
180
Let h = -111 + 117. Suppose 18 + 24 = h*n. Calculate the lowest common multiple of n and 16.
112
Let d be 1/4 - ((-1512)/32)/3. Calculate the smallest common multiple of 74 and d*(4 + -8 + 5).
592
Suppose 0 = 53*y - 48*y - 150. Suppose -3*d + 2*b - 30 = -6*d, y = 3*d - 3*b. Calculate the lowest common multiple of 14 and (-4)/d - (-6520)/50.
910
Let g be 9/(-6) + (-7529)/(-354). Let b = g + -6/59. Find the common denominator of b and (-6)/9 - (132/(-63) + -1).
21
What is the common denominator of -53/24 and (-1)/((-42)/344)*17/1632?
504
Let o be ((-6)/(-4))/((-6)/16). Find the common denominator of (1 + (-8 - -20))/(-2 + 18) and o/22 - 939/704.
64
Let g = 6/72775 + 7058059/13536150. Calculate the common denominator of 17/9 and g.
558
Let x = 20460/7 + -492083/168. Let s = -13670 + 601525/44. Calculate the common denominator of x and s.
264
Suppose 4*q = 5*q - 47. Let m(u) = -36*u + 2629. Calculate the lowest common multiple of m(73) and q.
47
Let b(h) = 9*h + 3. Suppose -2*d + 2*f - 3*f = 0, -5 = 5*d + 5*f. What is the lowest common multiple of b(d) and 100?
300
Find the common denominator of 47/1005 and (-16)/(-2) - (4336/6432 - -7).
2010
Suppose 500 = 2*n - 2*a, 5*n + 3*a - 672 = 586. Suppose 14*k = n + 1. Calculate the lowest common multiple of 66 and k.
198
Suppose -h + 5*h = -4*x - 224, -2*x + 3*h = 107. What is the common denominator of -23/24 and (-218)/112 - (x + 53)?
168
Let t(l) = -5*l**3 - 14*l**2 + 3*l + 38. Let y(d) = d**3 - 1. Let g(o) = -t(o) - 4*y(o). What is the lowest common multiple of g(-14) and 48?
48
Calculate the common denominator of 2*16/(-88)*(4 + 1155/(-312)) and 15/2.
286
Let c be ((-15)/(-20) - 0)/((-1)/(-16)). Let d = 19 - c. Let w = 27 - 20. Calculate the least common multiple of w and d.
7
Suppose -4*s + 169 = 61. Let g be (2 - 1)/(14/(-28)*(-6)/69). Suppose -20*v + g*v - s = 0. Calculate the least common multiple of v and 31.
279
Calculate the least common multiple of 460 and 6*458/30 + (-1)/(-10)*4.
460
Let s = 641/26 - 9031/312. What is the common denominator of 3/4 + (-155)/252 and s?
504
Let r(s) = -13*s. Let k be r(1). Let d(q) = -q**2 - 2*q - 31. Let c be d(0). Let h = k - c. What is the least common multiple of h and 3?
18
Let z = -2513 + 3605. What is the lowest common multiple of 28 and z?
1092
Suppose 0 = -2*b + c + 130, 0*b - 110 = -2*b - 4*c. Calculate the least common multiple of b and (-17*(-5)/255)/(-3*(-1)/297).
693
Let f(x) be the first derivative of x**3/3 - x**2 - x - 21. Suppose 0 = -t + 6*t - 550. Calculate the lowest common multiple of f(3) and t.
110
Let w = 179755/12 + -14992. Let m = 120017/4 - 29991. Find the common denominator of w and m.
12
Suppose 0 = 4*t - 9*t. Let p = 2273 + -2254. Suppose -2*u - 5 + p = t. What is the lowest common multiple of 2 and u?
14
Suppose 2*q + 3 = q, 2*p + 5*q - 113 = 0. Let m = p - 62. Suppose -112 = -6*n + m*n. Calculate the common denominator of -31/8 and n.
8
Suppose -3*j = -48 + 33. Calculate the common denominator of (-9 + -2)*2/4 and (-14*j/25)/((-12)/25).
6
Let d = -2/2263 + -10491/932356. What is the common denominator of 1/152 and d?
15656
Suppose 0 = -11*i + 10 + 23. Suppose -2*x = i*w - 23, -5*w + 41 = 4*x - 0*x. Suppose q = -2*q + 21. Calculate the lowest common multiple of q and w.
35
Let i be (1740/(-18))/10*-24. Let n = -223 + i. Suppose 195 = 17*d - 12*d. What is the smallest common multiple of n and d?
117
Suppose 1583 = 16*o + 543. Calculate the smallest common multiple of 29 and o.
1885
Let o = -3173622 - -50926879/16. Let b = -9311 + o. What is the common denominator of b and -87/4?
16
Let s = 286104 - 286099. Suppose 2 = 5*n + 107. Let t = n - -39. Calculate the smallest common multiple of s and t.
90
Let j(m) = 30*m**3 + 3*m**2 + 2*m + 1. Let w be j(-1). Let d be (3000/w)/(-3) - 4/(-14). Calculate the common denominator of -39 and d/33 + (3 - 1 - 3).
11
Suppose -123 = -5*x - 4*j, -x - j + 23 = -2. Suppose -x*t + 20*t + 39 = 0. Calculate the lowest common multiple of 25 and t.
325
Let u(j) = -26*j - 2. Let n be u(1). Let o = -11209/636 + -20/159. Find the common denominator of o and 50/n - (3 + -6).
28
Suppose 3*l + 11 = -4*z, -5*z + 5*l + 9 + 21 = 0. Let h = z + 101. Let w = h + -100. What is the smallest common multiple of w and 62?
62
Suppose 2*l + 2 = -t + 5, 5*l = -4*t + 3. Calculate the common denominator of (-44)/(-99)*(-250)/16 and (-140)/18 + l/(-6).
18
Suppose -2744 = -5*x + 4*a, -4*x + 2228 = -10*a + 15*a. What is the lowest common multiple of 1104 and x?
1104
Suppose -2*j + 16 = 2. Suppose 4*v + 27 = j*v + 2*f, 4*f = 5*v - 45. Calculate the lowest common multiple of v and 168.
504
Suppose -7*l = 6*l + 8710. Find the common denominator of 43/10 and 5 + l/208 - 2.
520
Let v = 12173/5 + -2447. Let q = -29585 - -1627209/55. Find the common denominator of v and q.
55
Let h = -436 - -80. What is the common denominator of (-2)/(14/35) - h/16 and 278/(-45) - (-4)/(-18)?
20
Suppose 2234*p - 5376 = 2220*p. What is the smallest common multiple of 40 and p?
1920
Suppose 5*x - 226 = -4*v + 427, 0 = 4*x + 3*v - 523. Calculate the smallest common multiple of x and 259.
4921
Let l = 1/8618 + 114183/47399. Let x be 71790/(-8)*(-14)/33. Let w = -3808 + x. What is the common denominator of l and w?
22
Let g = -18 + 79. Suppose g = -3*h + 325. Calculate the smallest common multiple of (-12)/2*h/(-33) and 28.
112
Suppose 3*z = -91 + 373. Let x(h) = h**3 - 18*h**2 + 30*h + 48. Let u be x(16). Suppose u*n + 392 = 44*n. Calculate the smallest common multiple of z and n.
658
Suppose k - 4 = 3*j, -1 + 3 = k - j. Suppose -t + k = 0, 32 + 13 = 2*y + t. Calculate the common denominator of (-20)/(-5)*1*2/y and -7/29.
319
Calculate the common denominator of 2697/2046 - (-1)/((-11)/2) and (-39)/15*200/(-176).
22
Let t(s) = s**3 - s**2 - 55*s + 16. Let m be 6/3 + (-114)/(-19). Calculate the least common multiple of t(m) and 24.
24
Let j(y) be the second derivative of y + 3*y**2 + 1/3*y**3 + 0. What is the least common multiple of j(2) and 6?
30
Let s = -30 + 48. Let o = -1645 + 1672. Calculate the lowest common multiple of s and o.
54
Suppose 2*w - 1407 = -5*h, -6*h + 5*w + 1435 = -h. Let t be (-55 + 54)/(3 + -2). Calculate the common denominator of t/4 + h/(-12) and 37/6.
6
Let r = 5182/15 + -206977/600. Find the common denominator of -97/500 and r.
1000
Suppose -73*a + 399 = -853 - 792. Calculate the lowest common multiple of a and 596.
4172
Let m = -1 - -1. Suppose -4*c = -4*i + 24, m = -0*i - 4*i - 4*c + 56. Let l = i - -18. Calculate the smallest common multiple of 22 and l.
308
Let y = 5051/1560 + -98/39. Let f(q) = 4*q - 3. Let k be f(3). Calculate the common denominator of y and 2236/(-448) - k/(-21).
80
Calculate the common denominator of (-47983)/(-237510)*-2 - 8/(-18) and 72/1015.
1015
Let b be 14/8 - (-3)/12. Suppose 7*d - 60 = b*d. Calculate the common denominator of -5/14 and 31/6 + (64/d - 6).
14
Suppose 5*x = -5*b + 15, 2*x - 28 + 17 = 3*b. Calculate the least common multiple of (b/(3/10))