 multiple of d and 48.
1104
Let d = 818257/30 - 27280. What is the common denominator of d and (-12)/(-27) + 51/((-9180)/(-1792))?
30
What is the least common multiple of (75968/(-352) - (32/(-44))/(-4))*-19 and 48?
8208
Let h = -687 + 318. Let x = h + 1513/4. Calculate the common denominator of x and (-1254)/(-180) - 6/9.
20
Let y = 922/33 - 135/11. Let p = -646 - -7757/12. Find the common denominator of p and y.
12
Calculate the lowest common multiple of -6*(-1)/2 + 2 + -1 and 2/3*-14*(-30)/20.
28
Suppose 5*u - 1915 = -2*i + 977, 5784 = 4*i - u. What is the common denominator of (24/(-9))/(-4) - i/(-1260) and 119/60?
420
Let q(p) = -2*p**3 + 10*p**2 - 5*p - 10. What is the least common multiple of q(4) and 78?
78
Suppose 32*w - 4*w = 0. Calculate the smallest common multiple of 80 and (-6 + w)/((-42)/28).
80
Suppose 6*v = -154 + 118. Calculate the common denominator of 33/(-66)*148/v and (38/18 - 1) + 0.
9
Suppose 1623 = 2*n - 2519. Let b be (-166456)/(-40)*2/(-4). Let l = n + b. What is the common denominator of l and -47/10?
10
Let o(m) = 0*m - 8*m - 14*m - 10*m - 20 - 27*m + 2*m**2. Calculate the smallest common multiple of o(30) and 10.
10
Let t = 49397397/1472 + -33558. Find the common denominator of t and -7/9.
13248
Let a(y) = -2*y**2 + 57*y - 60. Calculate the lowest common multiple of 5 and a(23).
965
Let y = -3390 - -3786. Calculate the lowest common multiple of 8 and y.
792
Let x = 144509/28 + -5162. Let t = 2015993/22 - 91637. Find the common denominator of t and x.
308
Let g = 317132 - 398317835/1256. Calculate the common denominator of g and 22/1413.
11304
Let o = 166 - 286. Let f = 162 + o. Calculate the lowest common multiple of 6 and f.
42
Let v = -191 - -199. Suppose 0 - 74 = 2*j. Let h = j + 53. What is the lowest common multiple of v and h?
16
Let p = 71 - 47. Let o = -48 + p. Find the common denominator of -61/4 and (140/36)/((-4)/o).
12
Suppose 3*z - 4 = -z, z = 4*v - 147. Suppose -4*t + 160 = -0*t. Suppose -t*r + v*r = -6. Calculate the lowest common multiple of 36 and r.
36
Let n = -1352 + 20339/15. Find the common denominator of n and -35/72.
360
Let j = -5491 + 642452/117. Let h = -16826/1209 - -171/13. Calculate the common denominator of j and h.
3627
Let u = 697/132 + 76/33. Suppose a + 4*q = -0*q - 823, 5*a = -5*q - 4115. Let s = a + 22256/27. Calculate the common denominator of u and s.
108
Let y be (-8)/(-3) - 4/6. Suppose 4*z = 5*j + 6*z - 6, 4*j + 3*z = y. Suppose 0 = -55*s + 137 + 83. What is the least common multiple of j and s?
4
Suppose -61*c = -52*c - 540. Calculate the lowest common multiple of 114 and c.
1140
Let n = -105223/16 + 6579. Suppose 2*z + 1464 = -2*z. What is the common denominator of (1/(-6))/((-10)/z) and n?
80
Suppose 4*l + 2181 = 4*g + 2277, -4*g = 0. What is the least common multiple of 1584 and l?
1584
Let p(y) = -y**3 + 5*y**2 + 9*y - 10. Calculate the smallest common multiple of p(6) and 1000.
1000
Let z = -25 + 25. Suppose z = 2*a - a + 8. Calculate the lowest common multiple of (12/a + 2)*(40 + 2) and 3.
21
Let m be (1/8)/((-2)/(-7350)*7). Let g = -2579/40 + m. What is the common denominator of -12/5 and g?
20
Let b be (-19324)/(7 - (6 + 0)). Let q = b + 869533/45. What is the common denominator of q and -59/54?
270
Let a = 11704 - 772421/66. Find the common denominator of -211/630 and a.
6930
Suppose -70 = -r - 11. Let k(i) = 4053*i**2 - 530942*i - 126. Calculate the lowest common multiple of k(131) and r.
295
Let o(i) = -i + 12. Let r be o(-7). Suppose -7*p - 16 = r. Let m(q) = -q**2 - 9. Calculate the common denominator of m(p) and -9/8.
8
Let r = -1355 - -1356. Suppose 4*p = 102 + 94. What is the least common multiple of p and r?
49
Suppose 5 = 2*m + 3*m. What is the smallest common multiple of 2/16*(110 + (-924)/66) and -1 + 1 + 5 + m?
12
Suppose 33 = 5*h + 13. Suppose 0 = -u - 3 + h. Calculate the smallest common multiple of u and 9/(0 + 2 + -1).
9
Let r = -6078599 + 121596491/20. Let p = r - 1230. What is the common denominator of p and -65/4?
20
Let n = 208366441465737076/537165 + -387900256842. Let v be (-1)/2595*(-12)/46. Let q = v + n. Find the common denominator of q and 43/18.
54
Let p be (4/6)/((-4)/(-66)). Suppose -3*u + 35 - p = 0. What is the smallest common multiple of 7 + -1 + ((-24)/(-10))/((-202)/(-3535)) and u?
48
Let x be 3/3 - 54528/54526. Let q be (1 - (-2)/((-30140)/728082))*(-57070)/(-2096664). Let b = x + q. Calculate the common denominator of -52/3 and b.
66
Let o(b) = b**3 - 5*b**2 - 68*b + 15. Let u be o(11). Let i = 7 + -5. Calculate the common denominator of (u/(-5))/((-3)/((-195)/i)) and -25/32.
32
Find the common denominator of -97/714 and 107841/(-245140) + (-4)/(-10).
1428
Calculate the common denominator of 139/7000 and (-5)/((-30)/(-4)) + 13803/53928.
7000
Suppose 3*h + 3*t - 2271 = 0, t + 467 - 468 = 0. Calculate the smallest common multiple of h and 70.
3780
Let a = -1957247 - -677212485/346. Let q be ((-12)/(-4152))/(10/60). Let d = q - a. Find the common denominator of 35/11 and d.
22
Let d(j) = j**2 - 25*j - 82. Suppose 0 = 9*g + 7*g + 48. Let h(c) = -c + 10. What is the smallest common multiple of d(g) and h(7)?
6
Let s(c) = c**3 + 10*c**2 - 5*c + 2. Let z be s(-10). Suppose -2*o + 4*o = z. What is the smallest common multiple of (-35)/(-8) + 3 + 12 + 492/(-32) and o?
52
Suppose -187 + 1696 = 2*t + b, -2*t = 5*b - 1521. Calculate the smallest common multiple of 2 and t.
1506
Let f(k) = 25*k - 11. Let n be f(-5). Calculate the smallest common multiple of n/(-119) - (-762)/7 and 44.
220
Let a = -2440 + 60977/25. Let x = -671/675 - a. Calculate the common denominator of x and -11/18.
54
Suppose 51*k - 161 = 28*k. Calculate the common denominator of 103/24 and 172/(-216) + 21/k.
216
Let d be (-6 + 4)/((-4)/2). Let a be ((-16)/(-20))/(d/(-10)). Find the common denominator of 15/7 and (-1)/(-3)*4/(a/(-159)).
14
Let v(h) = 5*h - 121. Let x(s) = s**3 - 8*s**2 + 3*s + 2. Let l be x(8). Let b(j) = -j**2 + j + 12. What is the lowest common multiple of v(l) and b(0)?
36
Let r = 204 - 228. Let v = r - -36. Calculate the smallest common multiple of v and 20.
60
Suppose -4*m = 5*y - 113, -881*m + 4*y - 31 = -882*m. Calculate the least common multiple of m and 141.
1269
Let w = -22971 - -27803. Calculate the smallest common multiple of 1 and w.
4832
Let o = 531 - 491. Calculate the lowest common multiple of 705 and o.
5640
Let x = 679599/20 - 33984. Calculate the common denominator of -133/5270 and x.
10540
Calculate the lowest common multiple of 556218/3159 + (83/(-27) - -3) and 2530.
20240
Calculate the common denominator of -4 - ((-888)/36*30/344 + -3) and -47/33.
2838
Let j(x) = 5*x**2 + 22*x - 23. Let t(r) = -r. Let q(w) = -j(w) - 6*t(w). Let m be q(-12). Find the common denominator of -57/14 and (-4 - 148/(-40))*m/72.
336
Let p = 25 - 22. Suppose 0*u - 4*u + 22 = 2*l, p*l - 33 = -2*u. Suppose -32*v = -27*v - 5. Calculate the smallest common multiple of l and v.
11
Suppose -3*t - 243 = 3*z, -6*z + 73 = -t - 3*z. Find the common denominator of 139/66 and (294/(-288) + 1)*t.
528
Let a = 8714 - 8632. What is the smallest common multiple of 2 and a?
82
Let p(q) = -12 - 6*q - 3*q - 8*q + 11*q. Let o be p(-3). What is the common denominator of (o/(-22))/1*(-35)/15 and 12/11?
11
Let g = -271757803/297 - -915008. Let t = g - -2/27. What is the common denominator of t and 3/(-24)*188/2?
44
Let j = -5/42 - 43/84. Find the common denominator of -127/1584 and j.
11088
Suppose -3*x = -1 - 8. Find the common denominator of (-2)/(-48)*13/((-130)/(-735)) and (153/(-12))/(3/x).
16
Let r = 57989/560712 - 63/766. What is the common denominator of r and -17/4?
1464
Suppose -4*j + 86 = 11*i, 43*j = 41*j - 2*i + 22. Suppose -l - l + 4*p + 104 = 0, -4*l + 220 = -4*p. What is the smallest common multiple of j and l?
290
Suppose -158 = -2*c + 4*u - 80, -u = 4*c - 210. Let y be (-3)/2*(5 - 1). Let w = y + c. Calculate the least common multiple of w and 18.
90
Let n(b) be the third derivative of 0*b + 0 - 5/24*b**4 + 13/3*b**3 + 12*b**2 - 1/60*b**5. What is the smallest common multiple of n(-8) and 10?
10
Let q = 462527/20 + -23121. Calculate the common denominator of -143/3480 and q.
3480
Let l(u) = -u**2 + 17*u - 53. Let n be l(7). Suppose 125 = 18*i + n. Calculate th