 -4*k - 41 = -3*x - 4. Calculate the smallest common multiple of 20 and x.
60
Suppose 3*k = 7 + 2. Suppose 0 = d + 5*g - 305, -2*d + k*d - 303 = -3*g. Calculate the common denominator of 2 - 2 - (-1690)/d and -83/8.
120
Let k = -691 + 695. Suppose -c = -2*q - 14, -c + q + k = -9. Suppose 0 = -4*w + 4*p + 132, 0 = -3*p - 0*p + 9. Calculate the least common multiple of w and c.
36
Let u = -5128 - -32585/6. Let h = -297 + u. Let p = -1057 - -2161/2. What is the common denominator of p and h?
6
Let t(q) = q**2 + 7*q + 26. Let u be t(0). Suppose 696 + 604 = u*l. Calculate the smallest common multiple of l and 30.
150
Let h = 20115/8 - 2509. Let c = -2016 + 2274. What is the common denominator of ((-7)/(196/324))/(c/(-21)) and h?
344
Let u be (2 - 2) + 4 + -1. Suppose u*d - 21 = -0*d. Suppose -12 = d*j - 89. Calculate the least common multiple of 9 and j.
99
Suppose 3248 = 3*x + 9*x - 5*x. What is the smallest common multiple of 8 and x?
464
Let x = -19325 - -2222351/115. Let a = 47/2530 - x. What is the common denominator of (-49 - 2)*2/(-196) and a?
1078
Let u(y) = 2741*y + 128. Let r be u(5). Calculate the common denominator of -127/12 and r/(-2120)*10/24.
96
Let g be (8/(-12) - 0)/((-3)/(-9)). Let t be 22*(3 + g)/1. Suppose t = 5*s - 23. What is the least common multiple of s and 5?
45
Let x(q) be the first derivative of 9 + 10*q + 17 + 3*q**2 + 3*q**2 + 25*q. Calculate the common denominator of 101/8 and x(-6).
8
Let t = 18 + 0. Suppose -11*b + 4*a - 103 = -12*b, 0 = 2*b + 3*a - 201. What is the least common multiple of b and t?
198
Suppose -v + 13 = 2*j, -2*v = -3*j + 3*v - 13. Calculate the common denominator of 2 + 0 + (-30)/7 and 390/91*j/(-5).
7
Suppose 0 = 3*i - 6*i + 2*x + 452, 4*i - 3*x = 603. Suppose -g + i = h, -g - 4*h = g - 308. What is the least common multiple of 5 and g?
730
Let k = -219251/10353 + 1243/58. Find the common denominator of k and 79/252.
4284
Find the common denominator of 3 + ((-842)/154 - (-3)/1) and (-3455)/1050 - (40/(-30))/(1/3).
2310
What is the common denominator of ((-1)/(-27))/((-700)/10360) and -73/195?
1755
Suppose -268*y - 138*y + 301568 = -102*y. Calculate the smallest common multiple of y and 124.
992
Calculate the common denominator of ((-847)/(-82544))/(((-4)/(-21))/(12/(-18))) and 25/1876.
15008
Let a(c) = -c**3 + 14*c**2 + 54*c + 24. Let l be a(17). Find the common denominator of (-8)/(-20) - -1*265/l and 37/60.
60
Suppose 0 = 321*j - 57*j + 37*j - 2709. Suppose -2*d = 3*d - 70. Calculate the lowest common multiple of d and j.
126
Let a = 1003/105 - 68/5. Calculate the common denominator of a and 26/(-6192)*-1828 + 10/(-2365)*-11.
126
Let u = -71 - -51. Calculate the common denominator of u/70 - 534/140 and -5 + 3 + (-131)/6.
30
Let r(v) = -5*v**2 + 4*v**3 + 3*v + 28*v**3 + 11 - 31*v**3. What is the least common multiple of r(4) and 5?
35
Let j(u) = -u - 8. Let t be j(-10). Suppose 2*i + t = 6. What is the least common multiple of (2*2)/((-5)/(7 + -27)) and i?
16
Let f = -452 + 305. What is the common denominator of 63/49*f/(-12) and -13/24?
24
Let m(j) = 6*j**2 - 57*j + 296. Calculate the smallest common multiple of m(6) and 850.
850
Let q = 324567/1264 - 5626/79. Let x = -187 + q. Let h = -4442/65 - -28299/455. What is the common denominator of x and h?
112
Let k(j) = -30*j + 162. Let s be k(5). Calculate the least common multiple of s/(-10)*((-45)/6)/3 and 98.
294
Let t = -8807 - -15251. What is the least common multiple of 5012 and t?
45108
Let l = -141136/25845 + -10/1723. Let q = 13941721/12 + -1161807. Find the common denominator of l and q.
60
Let o = 10232 + -2490. Suppose -o = -i - 6*i. Calculate the common denominator of -23/14 and i/684 - (-10)/(-45).
266
Let f(d) = d**2 + 47*d - 88. Let l be (-9)/(-63) - 1032/21. What is the lowest common multiple of f(l) and 38?
190
Let n(u) = -u**2 - 13*u + 6. Suppose -3*b - 2*b - 13 = t, 5*t + 4*b = -65. Let s be n(t). Suppose 0 + s = g. Calculate the least common multiple of 12 and g.
12
Let w be 3/(-12) + (-5 - 333/(-4)). Let i = -62 + w. Calculate the smallest common multiple of i and 66.
528
Let u = -147 + 156. Suppose -2*s = -4*y + 14, -3*s + 3*y - 2 - 4 = 0. Suppose 4*d = s*f + 27, 0 = -5*f - u - 16. What is the least common multiple of d and 5?
15
Let x = -106 - -166. What is the least common multiple of x and -20 - (-638)/22 - -95?
1560
Let t be (-6 + -6)/4*-43. Let o = t + -100. What is the lowest common multiple of o and 11?
319
Let n be (-9)/((-180)/10688)*(-1 + 6). Suppose -s + 9*s - n = 0. Calculate the common denominator of 13/15 and s/105 + (-2)/(-7).
15
Let x = 681228/3821675 + -1/13897. Calculate the common denominator of -53/875 and x.
9625
Let z = 15/589 - -869/1178. Let j = 797/798 + z. Calculate the common denominator of -38/27 and j.
189
Let q = 11298/10417 - -6/947. Calculate the common denominator of q and (8/28)/((-12)/(-217)).
66
Let q(d) = 2*d**3 - 17*d**2 - 29*d + 22. What is the least common multiple of q(10) and 310?
4960
Suppose -69 = -22*b - 3. Suppose 4*p - 9 = -h, 5*p - h = p - 1. What is the lowest common multiple of (-1)/b*((0 - 34) + p) and 3?
33
Calculate the common denominator of ((-4)/(-11) - 68572/102300) + 1/3 and 76/225.
225
Suppose 50 = -4*p - 122. Suppose 7*s - 6*y - 266 = 12*s, -3*y = s + 46. Let v = s - p. Calculate the common denominator of -69/4 and v.
4
Let c = -75 + 85. Suppose c*i + 398 = 1608. Calculate the lowest common multiple of 7 and i.
847
Let u = 240318/205 + -5858/5. What is the common denominator of ((-196)/(-3))/(5520/2070) and u?
82
Let m = 9 - 1. Suppose -u + 3*u = m. Find the common denominator of -48/5 and (-261)/(-45) - 2/(u/3).
10
Let m = 783 + -801. Calculate the lowest common multiple of m/(-8)*(290/(-30) + 11) and 27.
27
Let y be ((-30)/(-4))/((-1)/(-4) + 0). Suppose y = 13*w - 11*w. Suppose 2*x = 3*x - 2. Calculate the smallest common multiple of x and w.
30
Suppose 0 = -10*n - 3*n + 195. Suppose -30 = -4*g - 5*z + 11, -4*z = -5*g. What is the lowest common multiple of n and g?
60
Let x = 18508 - 18503. Suppose 5*d + 2*r - 5*r = 251, -3*d + 139 = 4*r. Let v = d - 16. Calculate the least common multiple of x and v.
165
Let a = -7/6835 - -404063/779190. Calculate the common denominator of a and -115/114.
114
Let z(q) = 160*q**2 + 754*q - 4557. Calculate the least common multiple of 9 and z(6).
17181
Let j = 683457233/780 + -876227. What is the common denominator of 16/135 and j?
7020
Let l = 9281 - 760975/82. Find the common denominator of 19 and l.
82
Suppose 4*a - 8 = -n - n, 9 = n + a. Suppose -5 = -3*z + 2*z. Suppose 79 = 4*y - z*w + n, -4*w = 5*y - 112. What is the lowest common multiple of 2 and y?
20
Let f = -471 - -471. Suppose f = -21*q - 14*q + 1750. Calculate the lowest common multiple of q and 35.
350
Let t = -25526 + 816929/32. Let q = 1/652 + -4409/5216. What is the common denominator of t and q?
32
Suppose 6*u = -19 - 23. Calculate the smallest common multiple of (109/u)/(14/(-49))*2 and 2.
218
Let p(x) = 3*x + 54. Let z be p(-19). What is the least common multiple of 16/z*((-9)/(-6) + -3) and 2?
8
Let z = 4/4095 - 6499/448812. Calculate the common denominator of -101/2740 and z.
2740
Suppose 0 - 4 = -4*z. Suppose 0 = -4*i + 4 - 16, -2*s - 2*i - 40 = 0. Let u = s + 25. Calculate the least common multiple of u and z.
8
Let b = 333593 + -1000759/3. Find the common denominator of b and (-3)/(-2)*137/36.
24
Let b = -423436831/864 - -490089. Calculate the common denominator of 139/1632 and b.
14688
Let q = 10791 - 10766. What is the smallest common multiple of q and 85?
425
Suppose -108*j - 5*z + 15367 = -104*j, 3*z = -3*j + 11526. What is the least common multiple of 21 and j?
3843
Let w(c) = -c**3 + 7*c**2 - 9*c + 10. Let t be w(6). What is the common denominator of 62/3 and (-47)/t - (-6)/(-12)?
24
Let z = 892 - 732. What is the smallest common multiple of 544 and z?
2720
Let n be 18/12*(1 - (-47)/(-3)). Let z = 44 + n. Suppose 2*p + 5*c - 5 = p, -2*p + 2*c = -z. What is the smallest common multiple of p and 7?
70
Let m = 24397537/132 + -184831. What is the common denominator of m and -29/492?
5412
Let q = 5684 + -5028. Calculate the smallest common multiple of 88 and q.
7216
Suppose h + 0*z = 5*z + 5, h + 11 = z. Let f be -3*(-5)/h - -21. Suppose -5*d = -f, i -