24. Let k be l(10). What is the lowest common multiple of h(k) and 15?
30
Suppose 0 = -73*u + 679 - 241. What is the smallest common multiple of 3021 and u?
6042
What is the common denominator of 61/24 and (-3)/19*101/(-1068)?
40584
Calculate the common denominator of 370/43956*138/20 and 103/1650.
9900
Let w(c) = -10*c**3 + c**2 + c + 1. Let b be (0 - -2)/(-2) + 0. Let u(a) = 1871*a - 11223. Calculate the lowest common multiple of w(b) and u(6).
33
Let i = 143 - 5. Find the common denominator of 45/11 and (-7)/((-3024)/i) - 1.
792
Suppose -r + 3*n + 890 - 149 = 0, -5*n + 3705 = 5*r. What is the least common multiple of 1235 and r?
3705
Let i(y) = 3*y - 46. Let b be i(14). Find the common denominator of 290/(-24) - (b + 15/4) and (-1)/(60/4 - 3).
12
Let c = -2/15113 + 392960/166243. What is the common denominator of c and 91/1826?
1826
Suppose 0 = 4*x + 5*k - 25, 4 + 19 = 5*x - 2*k. Suppose -5*o = -4*u - o, x*u - 40 = -5*o. Calculate the lowest common multiple of u and 48.
48
Let j = -1 + -34. Let g = j - -5. What is the common denominator of 9/(-16)*(-132)/18 and g?
8
Calculate the lowest common multiple of (-171)/((-6)/(-24)*3/(-12)) and 24.
2736
Let v be 102/(-136) - (-325606)/(-72). Let x(n) = -10*n**3 + 10*n**2 - 6*n + 3. Let i be x(8). Let l = v - i. Calculate the common denominator of l and -91/4.
36
Let m be 250/(-3) - (-1)/3. Let d = m - -56. What is the common denominator of (-23)/10 - d/(-45) and 5/17?
170
Calculate the common denominator of 77/(-1001)*(-5)/12 and -83/1068.
13884
Let c = -4642/2205 - -22/147. What is the common denominator of c and -119/150?
450
Calculate the common denominator of -54/5 and 33386/(-6612) - 180/(-24)*18/27.
16530
Suppose 3*r - 846 = -17*i + 14*i, -2*r - 300 = -i. What is the smallest common multiple of i and 846?
13536
Let z = 25807/4675 + -489/85. Find the common denominator of z and 71/20.
1100
Calculate the common denominator of 181/660 and (-495)/15 - -42 - ((-538)/(-66) - 1).
660
What is the common denominator of 10/80*(275/(-3) - 1) and 5 - (24/81 + 5)?
108
Let m = 16848 + -168383/10. Find the common denominator of 64/2145 and m.
4290
Suppose 5*o - 17 = x - 0*o, -4 = -3*x + 4*o. Let r be 63/(-3)*24/(-28). Suppose -r*k = -21*k + 6. What is the least common multiple of x and k?
8
Let w be (-1)/3 - (-184)/12. Suppose w*b = 2*b - 127582. Let f = b + 176795/18. Calculate the common denominator of -57/2 and f.
18
Let x be (-107481)/(-63) + -3*(-4)/(-36). Let b = -1710 + x. Suppose 5*w + 91 = -64. Calculate the common denominator of w and b.
7
Let o(p) = -56*p + 34. Let h be o(23). What is the common denominator of 95/6 and 2 + h/(-288)*-1?
48
Let w = -133 - -516. Let q = -269 + w. Calculate the smallest common multiple of q and 9.
342
Let t(c) = -c**2 - 24*c - 31. Calculate the lowest common multiple of t(-20) and 19.
931
Let h = -278 + 253. What is the common denominator of h/10 + (-3)/((-36)/139) and 61/84?
84
Let j(f) = 4*f**2 + 8*f - 12. Calculate the smallest common multiple of 495 and j(-14).
1980
Let k(d) = 3*d + 1. Let c be k(-2). Let z be 5 - (31 + c + 9). Calculate the lowest common multiple of (-2)/z*55 + (-2)/(-6) and 2.
4
Suppose 0 = -3*z - 48 - 21. Find the common denominator of -65/3 and 1 + 302/(-36) + z/(-207).
18
Let a = 20/121 - 1754/363. Suppose 5*m = -m - 540. Find the common denominator of a and (-15)/(-6)*(-327)/m.
12
Suppose -5*m - 28 = 3*h, -3*h - 5*m + 52 = -5*h. Calculate the common denominator of 306/40 - h/(-40) and -2*(2 + 535/60).
12
Suppose -c + 20 = c. Let w(j) = -j**2 + 6*j. Let h be w(5). Let b(t) = t**2 - 5*t + 12. What is the least common multiple of c and b(h)?
60
Let d = -12667 + 17407. Calculate the smallest common multiple of d and 18.
14220
Suppose 16*d + 288 = 12*d. Find the common denominator of (-69)/(-92) - (-2 + (-141)/d) and (2/3)/(12/(-123)).
24
Let t = -50998427/400 - -127496. Find the common denominator of t and 169/240.
1200
Let s = 76 + -64. Calculate the common denominator of (10/1 - 4)*s/(-1048) and 0 + 1/(8/58).
524
Let n(j) = -4*j**2 + 54*j - 23. What is the least common multiple of n(13) and 155?
465
Suppose 40*s + 16*s = 12*s + 1320. What is the lowest common multiple of 6/(-4)*400/(-4) and s?
150
Calculate the common denominator of (2/18 + 1330/(-144))/(-181) and -71/1810.
7240
Suppose -2*u - m = -310, -21*u - 766 = -26*u - m. Calculate the least common multiple of u and 24.
456
Let o = -10794 - -291404/27. Let v = 59289/2 - 3201767/108. Let s = o + v. What is the common denominator of s and 57/2?
4
Suppose -5*d + 6*d - 5*i - 6 = 0, -3*i = -d + 10. What is the least common multiple of ((-2)/(-14))/(41/287)*26 and d?
208
Suppose -31*s = 3*p - 33*s + 202, -3*s + 6 = 0. Suppose 4*u - 3324 = 4*c, -2*c - 2498 = c - 4*u. Calculate the common denominator of 52/21 and 6/33 - (c/p)/1.
21
Suppose 0 = 2*w - 4. Let y = -3002 + 3016. Calculate the lowest common multiple of (-6)/3 - (w + -7) and y.
42
Let r be (0 - 2)/(3/((-810)/15)). What is the common denominator of (-15)/(-3) + (-267)/r and -38/117?
468
Suppose 0 = 5*a - 3*y - 28, 3*a + 10*y = 12*y + 17. Suppose -2*k - 3 - 3 = 0, a*w - 3*k = 44. Calculate the lowest common multiple of w and 4.
28
Let j(r) = -r - 11. Suppose -2*q + 5*o + 20 = 0, -3*q + 2*q + 3*o + 12 = 0. Suppose -56*u + 59*u + 48 = q. Calculate the least common multiple of j(u) and 11.
55
Suppose 38482 = -4*d + 5*k, 3*d + 28848 = -0*d - 3*k. Let i = d - -711677/74. What is the common denominator of 91/6 and i?
222
Suppose 3331 - 19461 = k - 4*y, -3*k + 3*y - 48345 = 0. Let q = 402698/25 + k. Calculate the common denominator of q and 42/5.
25
Let i = 25899 - 25896. What is the least common multiple of 415 and i?
1245
Suppose 2*g = -3*g - 440. Let m = 132 + g. Calculate the least common multiple of 1 + m + (20 - 23) and 12.
84
Suppose -8 = -81*h + 80*h. Let i(d) = -12*d**2 + 6*d + 12. Let m be i(-6). What is the lowest common multiple of h and m/(-21) + 4/14?
88
Let i(c) = 2*c**2 + 39*c + 162. Calculate the smallest common multiple of i(-21) and 54.
1350
Find the common denominator of -91/60 and (-24)/224*-12*-5.
420
Suppose -3*v - 2*d + 332 = 0, 0 = -2*d - 6 + 8. Suppose v = -28*c + 39*c. Calculate the smallest common multiple of c and 32.
160
Suppose -5*d + 3*y = -3, 15*y = 3*d + 19*y - 25. Let j = -241045/22 + 10959. What is the common denominator of j and (d - (-162)/(-40))*(-14)/(-6)?
220
Suppose -24 + 28 = o. Suppose 4*l - 12 = 4*h, 5 = 5*l + h - o. Calculate the smallest common multiple of (-140)/(-18) + l/(-18)*-2 and 14.
56
Suppose 57*b - 71*b = 24150. Calculate the common denominator of -103/552 and b/(-540) - (20/36)/5.
552
Suppose -4 = -20*m + 18*m + 2*a, 4*m + a - 3 = 0. What is the least common multiple of m*(2058/24 - (-3)/(-4)) and 34?
170
Suppose -4*q - 3*b + 11 = 1, -b = q - 2. What is the lowest common multiple of 1916 and q?
1916
Let h be (-25)/50*(-3)/(-2670). Let f be (-16726)/(-90)*(-6)/(-712). Let i = h - f. What is the common denominator of -49/8 and i?
120
Calculate the common denominator of (1 + (-11)/2)/(300/(-140)) and -47/488.
2440
Let u be ((48/(-14))/(5/35))/(-1). Let l = u - 24. Suppose -3*q + 4*q - 4 = l. What is the lowest common multiple of 4 and q?
4
Let j = -1600/121 + 467537/36300. Find the common denominator of j and 113/330.
3300
Suppose -1161*k + 238 = -1154*k. Calculate the lowest common multiple of 72 and k.
1224
Let n be (-13)/65 - (-44018)/140. Suppose 2198 = -774*d + 767*d. Let x = d + n. Calculate the common denominator of x and 55/6.
42
Suppose 9*d - 6*d = 11196. Calculate the common denominator of d/3825 + 18/153 and 27/11.
825
Calculate the common denominator of 19/44326 and 1501/(-79) - (-716)/40.
221630
Suppose 0 = 367*b - 3307 - 39999. Suppose -3*i + i - 2*k + 18 = 0, 5*k + 51 = 3*i. Calculate the lowest common multiple of b and i.
708
Let a(z) = z - 3. Let f = 50043 + -49961. Calculate the lowest common multiple of a(5) and f.
82
Let x = 38 + -21. Let d = 8 + x. What is the common denominator of 65/6 and (7*d/(-15))/((-34)/3)?
102
Let b = 200 + -154. Let a = 123 - b. Calculate the common denominator of -74/9 and (45 + 0)*(-7)/a.
99
Let h(b) = 3*b**3 + 2*b**2 + 2*b - 3. Calculate the least common multiple of 4/5*59/(4012/510) and h(2).
66
Let t be ((-84)/5)/(171/165 - 1). What is