. Let h = -15463/3320 - c. Find the common denominator of h and (2/(-5))/((-4)/215).
20
Suppose -3*q = -2*q. Suppose q = 3*p - 6, -4*i - p - 149 + 371 = 0. Suppose -5122 + 10297 = 115*y. What is the lowest common multiple of i and y?
495
Suppose 3*q - 108 = 3*l, -4*l + 19 + 93 = 4*q. Suppose q*f - 227 + 35 = 0. Calculate the least common multiple of f and 9 + (3 + -2)*-1.
24
Find the common denominator of (27/57)/((-1)/(-5)) and ((-245140)/180)/119 + 15*1.
171
Let j = -289/49 + 9377/784. What is the common denominator of j and (-4 - 2134/(-768))*(6 - (-200)/(-35))?
192
Calculate the lowest common multiple of 1308 and 726/77*119/51.
14388
Let i(t) = 4311*t**2 + 7*t - 2. Let l be i(1). What is the common denominator of 125/42 and (l/260)/((-24)/10)?
84
Let q be 1997/(6/9*12). Let y = q - 249. What is the common denominator of y and (19*1)/(960/560)?
24
Let h = -6 - -20. Suppose h = -3*j + 4*j. Suppose 10*v + j = 214. What is the smallest common multiple of v and 10?
20
Calculate the common denominator of -137/12 and 90/75*(-5)/(-2) + 23160/(-8016).
2004
Let c be 9 + -12 - 384102/(-99). Suppose 5*x = 5613 + 13792. Let q = x - c. Find the common denominator of q and 105/26.
286
Suppose 17 - 234 = -7*r. Suppose -3*j + 4*g + 52 = -0*j, -3*g + 36 = 4*j. What is the lowest common multiple of (-4)/(-2)*1 + -32 + r and j?
12
Let d = -720 + 458. Let w = d + 268. What is the least common multiple of 16 and w?
48
Suppose 953 = 11*o - 10*o - 86. Calculate the smallest common multiple of 10 and o.
10390
Suppose 0*g + 2*g = 32. Let d(z) = 3*z**2 - 13*z + 12. Let c be 1*(7 - 2)/1. Calculate the least common multiple of g and d(c).
176
Let w(g) = -g**3 + 47*g**2 - 89*g - 59. Let b be w(45). What is the common denominator of -61/14 and (134/469)/((-88)/b)?
154
Let o be ((-6)/4)/(9/(-6)). Suppose -6*y + o = -11. Suppose -5*k + 5*c = y*c - 42, 5*c = 5*k - 40. What is the least common multiple of k and 9?
9
Suppose -10 = 4*h - 3*j + 18, 5*h + 3*j + 8 = 0. What is the smallest common multiple of 760/(-266)*(6/h - 2) and 48?
240
Suppose 3*t + 3*k - 18 = 0, -5*t + 2*k - 3*k + 18 = 0. Suppose -t*x = -x + 7634. Let v = x + 38139/10. Calculate the common denominator of 23/4 and v.
20
Suppose -3*i + 4*n = -8*i + 5, -4*i + 3*n + 35 = 0. Suppose -3*f = -i*q + 240, -f = 3*q + 2*f - 120. Calculate the smallest common multiple of q and 45.
45
Suppose -70*b + 404 = -16. What is the smallest common multiple of b and 17*3 + 3/1?
54
Let g be -1*(-1)/(-3) - (-10)/3. Let x = 241 + -238. Suppose 0 = -x*u - g*n + 18, -n - 6 = 2*u - 7*u. Calculate the least common multiple of u and 16.
16
Let d = -56 + 58. Suppose 5*g + 3 + 2 = 0, -d*i + 14 = -4*g. Suppose -4*v = i*v - 351. Calculate the smallest common multiple of v and 9.
117
Suppose -5*s - 2824 = o + 2*o, -4*o = 2*s + 3770. Let i = o - -19808/21. What is the common denominator of i and 77/15?
105
Let h be 302/5 + 6/(-15). Let d = 295 - 297. Calculate the common denominator of d/(-3) + (-286)/h and 13/4.
20
Let l be 75/12*(-1032)/(-452). Let a = l - 2321229/565. Let t = a + 4102. Find the common denominator of 73/4 and t.
20
Suppose -26 = -3*n + 4*s - 0*s, 0 = -s - 2. Suppose 3*u + b + 2 = 0, 2*u + u = 3*b - n. Find the common denominator of -7/2 and (u/(240/(-146)))/((-19)/57).
40
Let d(t) = t**3 - 8*t**2 + 9*t - 2. Suppose 464 = 22*f + 2. Suppose -f*z + 22*z = 72. Calculate the smallest common multiple of z and d(7).
72
Let p(v) = 5522126*v + 10. Let b be p(5). Let c = 1822267325/66 - b. Let q = 1591/3 + c. Find the common denominator of -127/24 and q.
264
Let f be 1 + (-164)/(-6) + (-14)/(-21). Suppose 13*z - 12*z + 36 = 3*x, -5*z = 4*x - f. What is the lowest common multiple of x and 1?
11
Suppose 18 = 8*d + 42. Calculate the common denominator of 103/6 and (1/(-4))/(d/201).
12
Let w = -3191 - -3371. What is the smallest common multiple of w and 129?
7740
Suppose 49 = -g + 32. Let s = -85 - g. What is the lowest common multiple of s/(-6) + 8/12 and 18?
36
Suppose 13*l = 40*l + 65*l - 1104. What is the least common multiple of 796 and l?
2388
Let i(d) = -24*d - 19*d**2 - 20*d**2 + 38*d**2 + 7. What is the smallest common multiple of i(-23) and 18?
90
Let v = -17 + 62. Let q = 46 - v. Calculate the common denominator of 17/64 and 19/(20/(-2 + q)).
320
Calculate the lowest common multiple of 50/5 - (-28 - -2 - -6) and 414.
2070
Let j be 213/2*(-240)/40. Let y = -603 - j. Calculate the lowest common multiple of 120 and y.
360
Let d be (72/(-62))/(9/(-66)). Let o = d + -3815/124. What is the common denominator of o and (-2)/((-120)/11)*21?
20
Let w = -441 - -676. Calculate the lowest common multiple of w and 15.
705
Let f = 344 - 263. Suppose -l = 5*p - f, 0*p - 2*l = 3*p - 50. What is the lowest common multiple of 52 and p?
208
Let a = 33 - -15. Let c = 11222 - 11219. What is the lowest common multiple of c and a?
48
Suppose 56*j - 1460 + 340 = 0. Let f = 31 + -15. Calculate the lowest common multiple of f and j.
80
Let u be (-6)/(-2) + (-6 - -4). Suppose -3*n - 2*x = -12, -18 + 4 = 2*n + 5*x. What is the least common multiple of -1*21/(u*-3) and n?
56
Let j(a) be the first derivative of a**4/4 + 3*a**3 - a**2/2 - a - 6. Let o be j(-9). What is the least common multiple of 12 and (66/(-4) + -1)*o/(-10)?
84
Let w = -15 - -41. Let q be (-21)/(-9) - (-10)/15 - 3. Suppose q = -7*d + 149 - 9. What is the least common multiple of w and d?
260
Let r = 628800/31 + -20282. Let j = -1179/248 - r. Find the common denominator of j and -31/178.
712
Let u(a) = -a**2 - 27*a + 4. Let y be u(-25). Suppose 5*p = 134 - y. What is the smallest common multiple of p and 258?
2064
Let h = -4160/81 - -97325/1782. Let x = h + 52/33. What is the common denominator of 3 - -233*(-3)/90 and x?
30
Let b = 816 - 14033. Let u = -237805/18 - b. Let k = 54/145 + 14037/3190. Calculate the common denominator of u and k.
198
Suppose 2*n - 149 = -149. Let d(i) = 1 + 6 + 3 - 11*i - 2. Calculate the smallest common multiple of 4 and d(n).
8
Let r = -11960 - -239113/20. Let i = 1157 - 10424/9. What is the common denominator of i and r?
180
Suppose -p = -w - 3*w + 523, 508 = 4*w - 4*p. What is the smallest common multiple of w and 352?
1056
Let t = 10186 + -8200. Calculate the least common multiple of t and 42.
13902
Suppose 2*m = -3*s + s + 26, -2*m = 5*s - 59. Suppose s = 7*t - 10. Find the common denominator of 9/4 and (-1)/t + (-155)/(-30).
12
Let k be (-108)/(-110)*(-24)/18. Let m be (24/(-99))/(6/27). Let l = k + m. Calculate the common denominator of -31/10 and l.
10
Suppose 3*s + 57044 = 3*w - 13825, -3*s - 94491 = -4*w. Let t = -425311/18 + w. Calculate the common denominator of -39/7 and t.
126
Let p(s) = -6*s - 12. Let g(i) = -5*i - 11. Let m(l) = 5*g(l) - 4*p(l). Let b be m(9). Calculate the common denominator of -85/14 and 43/(-70) + b/(-40).
14
What is the common denominator of -85/368 and 27/(-3) - 4834/(-552)?
1104
Let a(f) = 446*f + 2798. Calculate the lowest common multiple of a(-5) and 852.
1704
Suppose 4*t = z - 13, 2*z + 8 = t + 4*z. Let l be (((-233900)/(-65))/5)/t. Let k = l + 18765/52. What is the common denominator of k and -11/4?
52
Let n = -115 + 43. Calculate the common denominator of (-141)/(-6) - (-14)/21 and 1032/n*(-2)/(-2).
6
Suppose -3*f = 4*c + 7945 + 2424, -5*c + f - 12947 = 0. What is the common denominator of 79/36 and (-153)/51 + (c/144)/(-7)?
72
Suppose 0 = a + 3*s - 3, 0*a - 5*s = -2*a + 39. Suppose 5*b + 4 = -3*t - 4, 0 = b + 4. Calculate the least common multiple of t and 1 - -1 - (-1)/(3/a).
12
What is the common denominator of (5/10)/(35*(-9)/3555) and 51/(-228) - 12/(-42)?
532
Calculate the lowest common multiple of 9 + 1428/(-156) + -1 + 10326/26 and 42.
2772
Let z = -504226 - -3522839/7. Let y(a) = 996*a**2 + 21*a - 8. Let i be y(-1). Let k = z + i. Calculate the common denominator of 95/8 and k.
56
Suppose 0 = 4*i - 2*b + 564, -2*b = i + 2*b + 132. What is the common denominator of ((-1060)/i)/(2 - (-40)/(-14)) and -23/70?
210
Let p = -120493/2 - -63044. Let w = -84083/30 + p. Find the common denominator of w and (-5 - (6 - 37))*14/24 + 2.
30
Let b(v) = -14*v + 50. Let g(s) = 5*s + 82. Let q be g(-16). Calculate the lowest common multiple of 2 and b(q).
22
Let u = 22285/31512 - -3/2626. What is the common denominator of (