 - 6*f + 2*f - 32 = 0, -3*f + 56 = 5*p. Suppose -15*l + 10 = -p*l. What is the least common multiple of l and 9?
18
Let z = -1194/5 + 172661/720. What is the common denominator of z and 35/64?
576
Let h(i) = i**3 - 10*i**2 + 4. Let d(k) = 31*k**2 - 14*k - 4. What is the lowest common multiple of h(10) and d(5)?
2804
Suppose 24*h + 15*h + 4446 = 0. Let s be ((-8)/(-10))/((-2)/20). Find the common denominator of (h/s*-2)/(-30) and -11/16.
80
Suppose 4*v - 4*f - 240 = 0, 240 = 4*v - 3*f + 2*f. Suppose -4*y = 2*x - 78, -10*y + 14*y = -16*x + 64. What is the least common multiple of v and y?
60
Suppose 0 = 291*d - 316*d + 250. Calculate the smallest common multiple of d and 1620.
1620
Let c = 7637/2 - 3838. Calculate the common denominator of 24/323 and c.
646
Suppose -7*d - 23 + 128 = 0. Suppose k = -0 + 1, 5*k = c - d. Let g = -3 - -13. Calculate the least common multiple of g and c.
20
Let z be 2/(36/(-579)) + 70/(-84). Suppose 5*s + 135 = 5*d, 2*s + 0*s = -6. Calculate the lowest common multiple of d and (-10)/(z/9 + 3).
120
Calculate the common denominator of -49/6 and (-12)/20 - 15078/(-73080).
348
Suppose 2*b + 5*m = -5, -b + 12 = -3*m - 13. Suppose 5*a + b = 0, -59 = -5*f - 4*a + 13. Calculate the lowest common multiple of 160/200*(-15)/(-2) and f.
48
Suppose -x + 5*a = -18, 4*a - 12 = -2*x + 2*a. What is the common denominator of 11/226 and (x/16)/(6/(-534))?
226
Suppose 0 = -2*q - 5*c - 1774, 3*q + 2670 = 2*c - 5*c. Let g = 3479/4 + q. Let p = 2/11479 + 814993/91832. Calculate the common denominator of p and g.
8
Let q be 2/(-4) + (-13221)/(-270). Let k = -189/5 + q. Calculate the common denominator of k and (-8)/(-3) - (-26208)/(-6804).
27
Let p = 44130226/407 - 108428. Calculate the common denominator of 77/333 and p.
3663
Let h = 5914397/4938378 - -2/57423. Let u be 6/(-15) + 23079/(-15). Let y = 2987/2 + u. What is the common denominator of y and h?
86
Let g = 904277/133 + -6799. Calculate the common denominator of -95/378 and g.
7182
Suppose 0 = 10*i + 60 + 30. Let p = 20 + i. Let m = 86 - 79. What is the smallest common multiple of p and m?
77
Calculate the common denominator of (8 + 9174/(-1098))/(((-4)/3)/(-1)) and -32/1525.
6100
Suppose -2045 = -52*i - 485. Calculate the lowest common multiple of i and 2109.
21090
Let f be (7385/1045)/7 + 3/(-3). Let a = -11909/418 - f. What is the common denominator of a and -83/186?
186
Let r(v) = -12*v + 79. What is the smallest common multiple of r(-13) and 50?
2350
Find the common denominator of ((-99)/(-48) + -2)*1118/(-52) and 79/32.
32
Let n = 6393/4 - 1613. What is the common denominator of n and (7/21 - 506/312) + 0?
52
Let c = -17 + 19. Let u(l) = -2*l + 9 + c*l + 4 - l. Calculate the smallest common multiple of 12 and u(5).
24
Let r be (-230)/(-92)*((-16)/(-10))/(-1). Find the common denominator of (-1 - r) + -5*(-27)/(-84) and -51/28.
28
Let u(p) = -p**2 - 11*p - 18. Let s be 55 + (-3 - (-4)/1). Let n = -20 + s. Calculate the lowest common multiple of u(-6) and n.
36
Let r(p) be the third derivative of -p**4/12 + p**3 - 8*p**2. Suppose 14 = -41*n + 34*n. What is the smallest common multiple of 11 and r(n)?
110
Let g = 35600 - 284739/8. What is the common denominator of g and 860/(-465) - (-9)/6?
744
What is the smallest common multiple of 5184 and (19/((-1520)/60))/((-3)/12096)?
36288
Suppose 5*b = b + 16. Suppose 33 = 4*r - r - 4*v, b*v = 2*r - 18. What is the smallest common multiple of 27 and r?
135
Suppose -54*p = -125597 + 71546 - 411321. Calculate the lowest common multiple of p and 8.
34472
Let s = -350 - -358. Find the common denominator of ((-162)/(-270))/(11/s) and 49/8.
440
What is the smallest common multiple of ((-4)/(88/(-11)))/((-2)/139908*-3) and 11?
128249
Let q(y) = y + 2 + 4 + 2 - 1. Let f = -51 + 69. Calculate the smallest common multiple of f and q(-3).
36
Let b be (-2)/((4/18)/((-2)/(-3))). Let h be (-160)/(-12)*27/b. Calculate the common denominator of (-18)/(-12) + (-219)/h and 55/2.
20
Suppose 3*f - 3*o = 2700, 25*o = 2*f + 20*o - 1797. What is the least common multiple of f and 187?
9911
Suppose 1786*i - 1812*i + 21060 = 0. Calculate the smallest common multiple of 40 and i.
3240
Suppose -2*c - 3*u = -6*u - 14131, -4 = 4*u. Let i = c - 98975/14. What is the common denominator of (102/10)/((-672)/(-210)) and i?
112
Suppose 2*z + 18 = -5*v, -11*z - 10 = 3*v - 10*z. Let h(d) = d**2 - 4*d - 4. Let p = 528 + -284. Calculate the lowest common multiple of h(v) and p.
488
Suppose 281*n - 549*n - 2880 = -280*n. What is the lowest common multiple of n and 90?
720
What is the common denominator of 2/(-40)*3*2146/(-407) and 97/286?
1430
Let b be (1386/27)/11*198. What is the common denominator of 73/99 and 4/7 - (-3000)/b?
99
Let v = 1642234796393417549/872487 + -1882245576603. Let c = -2/11331 - v. Calculate the common denominator of -31/3 and c.
231
Let p = 204 - 187. Suppose 5*i + 4*c - 5 = p, 0 = -2*i - c + 10. Calculate the smallest common multiple of i and 75.
150
Let i be -5 + 4 + 2 + -2 + -1. What is the common denominator of ((-1835)/(-960))/(-1) - i/6 and -35/11?
704
Let f be (-56)/4*(8372/8 - -3). Let h = 411295/28 + f. What is the common denominator of h and -69/14?
28
Let n = 236307/301616 + -18/2693. Calculate the common denominator of -11/280 and n.
560
Let a(i) = 2*i**2 + 107*i - 896. Calculate the least common multiple of a(8) and 2760.
30360
Let n = 306817 + -120272353/392. Find the common denominator of n and 29/1736.
12152
Let j = -781 + 1517. Let f(l) = 8*l - j + 736 + l**2. Calculate the smallest common multiple of 20 and f(-10).
20
Suppose -2*x - 11 = 163. Let t = x - -97. What is the least common multiple of 17/1 + 4 + -7 and t?
70
Let h be ((-27)/6 + 4)*-22. Let y = 85 + h. Calculate the common denominator of -53/6 and 207/y*(-12)/(-9).
24
Let x = -2/25961 - -1999097/1298050. Find the common denominator of x and (-16731)/(-990) - (-2 - -7).
50
Let c = -5/1016 - 19757/11176. What is the common denominator of -23/1990 and c?
21890
Let t = 180631/30 + -6016. Calculate the common denominator of t and 3/2*244/144.
120
Let r = 309394435/60537 + 55/40358. Let n = r - 5123. What is the common denominator of n and 4/27?
54
Suppose 12*y - 16 = -4*y. What is the common denominator of (46/1840)/(y/(-166)) and -127/126?
1260
Suppose y = -4*h - 0*y + 103, -h + 32 = -y. What is the lowest common multiple of (-147 + 148)/(1/9) and h?
27
Find the common denominator of 2/(-4)*-4 - (-2314)/(-156) and (16/340)/((-28)/310).
714
Let g = 1229/6 + -204. Let x(r) = -4*r - 42. Let w be x(-11). What is the common denominator of -2*(485/210 - w) and g?
42
Suppose -2*z + 32 = 2*q, 24*q - 5*z - 60 = 19*q. Calculate the lowest common multiple of q and ((-54)/(-15) + -3)/((-3)/(-30)).
42
Let z(o) = -5*o**2 - 35*o + 8. Let r(g) = g**3 + 10*g**2 - 2*g. Calculate the smallest common multiple of r(-8) and z(-7).
144
Let k = -44285/14 + 3157. Calculate the common denominator of k and 36/(-198) + (-4665)/(-550).
70
Suppose -4*d - 12 = 0, -2*j - 2*d - 2*d + 12 = 0. Suppose -3*y - 51 = -4*l - 30, y = 3*l - 17. Calculate the lowest common multiple of l and j.
12
Let p = 15961 + -15957. What is the lowest common multiple of p and 154?
308
Find the common denominator of -47/330 and (4 + (-243)/90)*156/396.
330
Suppose 26*i + 19*i = i + 201520. Calculate the lowest common multiple of 100 and i.
22900
Let f = -102224/17 - -6011. Find the common denominator of -38 and f.
17
Let l = 85 - 45. What is the common denominator of 382/l - (-9 - -14) and 7/40?
40
Let k be -6 - (-5 - (-1568)/(-1561)). Let q = -6323773 - -7050998649/1115. Let n = k - q. Calculate the common denominator of 45/4 and n.
20
Let r(c) = c**3 - 31*c**2 + 171*c - 7. Let j be r(23). Calculate the common denominator of (-15)/135 - (-341)/j and -19/3.
102
Find the common denominator of (218/(-24))/((-28)/(-8)) and (-5)/3*(-58)/5*108/324.
126
Let z(b) = 96*b - 62. What is the least common multiple of z(2) and 20?
260
Let l = -19990 + 20082. What is the smallest common multiple of (14/(-21))/((-2)/18) and l?
276
Let m = -12801/7 - -972603/532. Find the common denominator of 21/38 and m.
76
What is the common denominator of 149/84 and (19 - -13)/(-16) - 418/(-126)?
252
Suppose 3078 = -6*b - 2088. Let j = -2362 - b. What is th