mmon denominator of 13/9 and (-30)/(-755)*(6 + 50/(-9)).
1359
Let m = 5 + -5. Suppose 0 = 5*u - 2*y, 3*u - 2*u + 4*y - 22 = m. Suppose i - u = 4. What is the lowest common multiple of 7 and i?
42
Suppose -16 - 4 = -4*r, -3*r = -3*f + 1251. Suppose 4*d + 83 = -5*y + f, -2*d - 4*y + 162 = 0. Find the common denominator of 2/(-2) - d/42 and 47/46.
138
Suppose 0 = -5*y + 3*s + 1935, 3*s + 861 = 2*y + 87. Suppose -3*w - y = 6*w. Let j = w + 45. Calculate the least common multiple of 54 and j.
54
Let j be 252/56 - (-3)/(-2). Suppose 4*x - 7*x - 4*s = -6, 39 = 5*x - j*s. What is the lowest common multiple of x and 114?
114
Let c be 17 + 12 + 2*2. Suppose 10*a = -c + 113. Calculate the least common multiple of a and 12.
24
What is the common denominator of 8/(-68) + 724/4998 and -69/2?
294
Let j = 177263 + -183467279/1035. Find the common denominator of 2/2277 and j.
11385
Let d = -148 - -105. Let c = d + 35. What is the smallest common multiple of (-8 - -8) + (-2 - c/1) and 3?
6
Let o be 3 + (-566551)/141303 + 1 + 0. Let d = o + -1/2109. Let z = 3356/603 + d. Find the common denominator of -47/9 and z.
9
Suppose 19*v - 1751 = 2*v. Let b = -123 + v. Let m = b + 22. What is the lowest common multiple of m and 22?
22
Calculate the common denominator of ((-1)/(-8))/((-2)/(198/225)) and 9/20.
200
Let p = 43148/33 - 1306. What is the common denominator of -26/1893 and p?
20823
Let x(n) = -n**3 + n**2 + n - 145. Let k be x(0). Calculate the lowest common multiple of 58/k + 24/10 and 8.
8
Let r(d) = -d**3 - 16*d**2 + 34*d - 3. Suppose -5*i + 8 = -2. Suppose i*x = x + 9. Calculate the lowest common multiple of r(-18) and x.
99
Let o = 531 - 531. Suppose o = x - 59 + 39. What is the smallest common multiple of 8 and x?
40
Let c = 30685/12 - 2550. What is the common denominator of c and 2 + 2 + 5 + (-498)/120?
60
Let x be 2/(-9) - (400/18)/(-1). Suppose -2 = k + 2*c, 2*c = -4*k - 12 + x. Calculate the lowest common multiple of 5 and k.
20
Let p(x) = x**2 - 24*x + 22. Let o be p(23). Find the common denominator of (42/35)/(((-32)/230)/(-1)) and (-7 + -22)*(-6)/88 + o.
88
Let k = -9330 - -9561. What is the least common multiple of k and 264?
1848
Suppose a = 20*h - 23*h - 20, -4*h = -2*a + 80. Suppose 0*f = -2*f + 120. Calculate the least common multiple of a and f.
240
What is the common denominator of 153/(-390) - 520/(-1690) and 67/39?
390
Let u = 6/9751 + 867191/1053108. Find the common denominator of 17/288 and u.
864
Let j = 155615 - 63179773/406. What is the common denominator of 103/464 and j?
3248
Let r(n) = 8*n + 10. Let m be r(-1). Suppose x + m*v - 3 = -4, 0 = 2*x + 3*v + 2. Let o = 1 - x. What is the least common multiple of o and 10?
10
Calculate the common denominator of (-1)/((-240)/50 - -5) + 29868/5943 and 101/14.
3962
Let p(n) = -2*n**2 + 10*n + 5. Let o be p(7). Let q(z) = z**2 + 19*z - 89. What is the least common multiple of 3 and q(o)?
3
Let r = -149 + 302. Suppose r*i = 144*i + 351. Let h(p) = -p**3 - 10*p**2 - 11*p - 3. What is the lowest common multiple of h(-9) and i?
195
Let w = 586617 + -896350743/1528. Find the common denominator of 65/16 and w.
3056
Let x = 104 - 17. Let f = 97 - x. Suppose 0 = -f*h + 14*h - 8. Calculate the lowest common multiple of h and 54.
54
Let q be 3416/(-21) - (-4)/6. Let n = q - -188. Let t(f) = -f**3 - 4*f**2 + 4*f + 3. What is the lowest common multiple of t(-5) and n?
104
Find the common denominator of 59/91 and (16 - 8398/520)*(-206)/(-6).
1820
Find the common denominator of (13 + -8)*(-161)/98 and -5/777.
1554
Suppose -3 = 6*u + 22*u - 2747. What is the lowest common multiple of u and 18?
882
Let x(y) = 35*y - 30. Let l be x(2). What is the common denominator of (-88)/(-36)*33/l and -89/12?
60
Let b(v) = v**2 - 5*v - 2*v**2 + 33*v + 53. Calculate the smallest common multiple of 12 and b(29).
24
Suppose -35*w + 32*w + 22834 = 4*t, -4 = -4*t. Calculate the lowest common multiple of w and 6088.
30440
Let d(n) = -8*n + 82. Suppose 0 = -17*g + 23*g - 60. Calculate the least common multiple of 3 and d(g).
6
What is the common denominator of (-2)/(-56)*27040/(-1170) and -57/2765?
24885
Suppose -45 = 2*h - 1029. Calculate the smallest common multiple of 1107 and h.
4428
What is the common denominator of -193/1260 and 84/(-4480)*101/(-9)?
10080
What is the least common multiple of 10 and (1 + 0 - -93) + (21 - 17)?
490
Let d = -413 + 416. Suppose d*c - 43 = -5*l, -12 + 75 = 4*c + l. What is the smallest common multiple of 420 and c?
1680
Suppose 66 = 4*h - 294. Suppose 17*b = 2*b + h. Calculate the least common multiple of b and 18.
18
Calculate the common denominator of 12/(-78) + (-1544)/14976 and -89/45.
720
Let r = -12978 - -12984. Calculate the least common multiple of r and 851.
5106
Let p = -414 - -419. Find the common denominator of 107/52 and (-1343)/(-136) + (-4)/6 - p.
312
Let v = -43843/22200 - 1/11100. Calculate the common denominator of (-837)/2952*-2 + -2 + 1 and v.
1640
Let a = -4 - -10. Let j(w) = -4556*w + 9127. What is the least common multiple of a and j(2)?
30
Suppose -3*k + 12 = -t, -4*t = -2*k + 55 - 27. What is the lowest common multiple of 10196 and k?
10196
Suppose -5*c - 5*p + 435 = 0, 18 - 2 = -4*p. Suppose -3*k - 4 = -c. Calculate the common denominator of k and -76/3.
3
Suppose 4*m = v + 14, 0 = 3*m - 3*v + 4*v. Calculate the smallest common multiple of 80 and m.
80
Suppose 0 = 3*f + u + 37, -5*f - u = -0*u + 65. Suppose -7*d + 10 = -2*d. Calculate the lowest common multiple of d and 2 + 30/f + (-612)/(-119).
10
Calculate the least common multiple of (9 - 21 - (14 - 143)) + -5 and 490.
3920
Let n = -277 + 281. Find the common denominator of 3/(-56) + (3 - n) and 61/28.
56
Let q(r) = -4*r + 93. Suppose 3*z = 12*z - 162. What is the least common multiple of 1 and q(z)?
21
Let k = -8103058 + 2139202213/264. Let n = k + 223/11. Find the common denominator of -85/54 and n.
216
Let z = 190 + -176. Let d = -310 + 330. What is the smallest common multiple of d and z?
140
Let o = -63129 - -18749332/297. What is the common denominator of o and 37/270?
2970
Let y = -204006/223055 - -2/6373. Calculate the common denominator of y and -53/49.
245
Suppose 0 = -32*o + 33*o - 72. What is the lowest common multiple of o and 174?
2088
Suppose -12*x = -11*x - 5*i + 19, i = -5*x + 35. Calculate the lowest common multiple of 5193 and x.
10386
Suppose -3 = -12*b + 15*b, 0 = j - 2*b - 1364. What is the least common multiple of j and 30?
6810
Let y = 1259/10 + 103/5. Let m = y + -941/6. What is the common denominator of m and 169/30?
30
Let m be (-4)/14 - (-11620)/33124. Let j = 15335/676 + m. Calculate the common denominator of j and (-10)/23*(-4)/(-8).
92
Let x(z) be the first derivative of 69*z**4/4 + z**2 + 11. Let b be x(2). Find the common denominator of 2 - 2*b/496 and -85/22.
682
Let i be (-18)/24*(-57758)/(-114). Let o = -380 - i. What is the common denominator of -9/20 and o?
380
Let q = 1021140/19 - 8791929/190. Let h = q - 7478. Calculate the common denominator of ((-41)/(-2) + -2)/((-10)/2) and h.
10
Let m(i) = -i**3 - 10*i**2 + 11*i + 242. Calculate the least common multiple of 32 and m(-18).
21088
Suppose 209*i = -191*i + 20400. What is the least common multiple of 4/6 - (-52)/3 and i?
306
Let t = 228579311/814 + -280810. Find the common denominator of t and -105/88.
3256
Let w = -24811 + 2530697/102. Calculate the common denominator of (-4)/((-64)/(-137)) - (11 - (-21)/(-2))*-12 and w.
816
Let f be 729 - (1*(1 - 1))/(-2). Suppose 0 = -8*m - f + 4281. Calculate the smallest common multiple of m and 14.
3108
Let q = -198 - -278. What is the common denominator of (-4)/10 - 538/q and ((-18)/(-14) - 1)*581/8?
8
Let a = -131330 + 47804037/364. Calculate the common denominator of a and 155/624.
4368
Let m = -98557/20 - -4931. Calculate the common denominator of -44/421 and m.
8420
Let p = -146433/671 - 66744517/34221. Suppose -11*o = -13*o + 4336. Let w = o + p. Calculate the common denominator of w and 0.
51
Suppose -79 = 17*k - 1235. Suppose 3*v - 27 - 45 = 3*y, -4*y = -3*v + k. What is the smallest common multiple of v and 7?
28
Let h(d) = 571*d**3 - 9*d**2 + 6*d + 4. Calculate the smallest common multiple of h(1) and 1430.
2860
Let a be 39/(-2)*(-2 + -1 + -7). Suppose -a*h = -199*h + 8. Wh