 common multiple of g and 384.
11136
Let k(f) = -107*f + 4. Let i be k(-10). Let y = i + -15017/14. Let q = -139/56 + y. What is the common denominator of q and -19/8?
8
Suppose -5*f + 211 = c + c, -2*f - 2 = 0. Let l = -63 + c. Suppose -3*b = -l - 9. What is the smallest common multiple of 12 and b?
36
Suppose 4*p + 64 = 2*q - 3*q, 84 = -2*q + 3*p. Calculate the lowest common multiple of (-78)/(-8) + (-12)/q and 16.
80
Suppose 2*f - 1827 = -4*k + 2845, 3*k = 5*f + 3478. What is the lowest common multiple of 66 and k?
3498
Let n = -850 - -854. Let i(t) = t**2 - 3*t + 1. Let p be ((-3)/(-6) - -1)*2. Calculate the smallest common multiple of n and i(p).
4
Let u = 9268 + -166771/18. Suppose 4*l - 14 - 30 = 3*t, 10 = 5*l. Calculate the common denominator of u and ((-4)/(-162))/(t/801).
54
Let q(x) = 20*x + 312. Let t be q(-21). Calculate the common denominator of 3/(-9)*86/(-24) and 14/60*t/72.
180
Suppose p = 5*j - 15, 0 + 5 = 5*j + p. Suppose n = -0*n + j*k + 16, -1 = k. What is the least common multiple of n and 11?
154
Let l = 1 - -1. Calculate the common denominator of 646/(-756) - (-93)/(-1302) and (-4)/l + 97/33.
297
Let n(g) = -g**3 - 49*g**2 + 72*g + 1723. What is the lowest common multiple of n(-51) and 5?
16265
Suppose -495*g + 489*g = -2850. Let z = 535 - g. Calculate the least common multiple of z and 36.
180
Let b be (-1)/(-4) - (873/(-12) + 1). Suppose 8*w = -0*w + b. Calculate the least common multiple of w and 3.
9
Let q be -1*1/(4/72). Let y be q/13632*((-4)/(-18) - 0). Let a = y + -21725/3408. What is the common denominator of -26/19 and a?
152
Let u = -756 - -775. Suppose r - u = 3*w, -25 = -r - 3*r - 5*w. What is the smallest common multiple of 16 and r?
80
Let f = -719508 - -7182071/10. Let c = -1303 - f. Calculate the common denominator of c and 84/44*(-2)/(-6).
110
Let y = -9/1229 - -161485/66366. What is the common denominator of y and (8 - (-190)/(-24))/(18/(-64))?
54
Suppose -4*z = -3*k + 1755, 0*k = -z + k - 440. Let t be z/(-9) + 5/((-15)/(-2)). Let i = t + -42. Calculate the lowest common multiple of 4 and i.
28
Let h be -1*1/2*-2 + 1320. Let z = h - 14561/11. What is the common denominator of z and 888/(-70) - (96/(-42))/8?
55
Let q = -407/1080 + -4/27. Calculate the common denominator of q and -101/1684.
16840
Let h(p) = 2*p**3 - 2*p**2 - 4*p. Let c be h(4). What is the common denominator of 101*(-4)/c + -1 and (-36)/200 + (-34)/(-425)?
20
What is the lowest common multiple of (-1)/(-3) + (391345/249 - 42/3) and 328?
6232
Find the common denominator of (126/(-14) + 8)/(2310/183) and 5/396.
13860
What is the lowest common multiple of 7 and (-124)/(-6)*((-12125)/(-50) + 14)?
37107
Let p(w) = 2*w**2 - 3*w - 3. Let g be p(-1). Suppose 3*m = g*c + 1414 + 50, -c = 2*m - 976. What is the smallest common multiple of 8 and m?
488
Let m(z) = -2*z**2 - 5*z - 5. Let b be m(-3). Let c be (b*3/(-6))/(-2). Calculate the lowest common multiple of 16 and 41/4 + c/8 - -2.
48
Let l = -13/32 + 127/96. Calculate the common denominator of l and (-32)/(-60) + (-9315)/(-8050).
84
Let u = 5 - 3. Let m = 20 + u. Suppose 0 = -2*c + 19*c - 136. Calculate the smallest common multiple of c and m.
88
Let s = 225107879/1630 + -138103. Let z = 27418/17115 + s. What is the common denominator of -71/66 and z?
462
Let v = -6687 - -234063/35. Let o = 76/13 - 851/130. What is the common denominator of v and o?
70
Suppose 6*v - 5*n + 4 + 8 = 0, 4*n = 0. What is the common denominator of 10/v + 1 + (-4599)/(-999) and -41/27?
999
Let z(k) = 7*k**2 - 11*k + 6. Let q be z(8). Let l = q - 365. What is the least common multiple of 11 and l?
11
Suppose -25 = 8*f - 1. Let y(d) = -d**3 - 3*d**2 - 6*d - 19. Let v be y(f). What is the common denominator of (-2)/8 + v + 333/48 and 17/6?
48
Find the common denominator of 240/(-200) - 8052/(-5040) and 65/861.
17220
Suppose 8*z = 7*z. Suppose z = 15*m + 315 + 585. What is the common denominator of 65/76 and (-26)/m*(-70)/(-6)?
684
Let v = -19290 - -9355656/485. Let l be 28024/(-180)*2/(-776). Let x = v - l. Find the common denominator of 2/9 and x.
18
Let i(f) be the third derivative of -f**5/30 + 83*f**4/24 - 25*f**3/3 + 85*f**2. What is the smallest common multiple of i(40) and 10?
70
Let a(j) = j - 10. Let u be 2*5/(30/21). Let c be a(u). Calculate the common denominator of (2/c + 1)*124/16 and 45/22.
132
Let h(b) = b**2 + 1. What is the lowest common multiple of h(2) and (-60)/380 + (-13720)/(-133)?
515
Let z = -107 + 112. Suppose -41 = -4*c - c - w, -3*w = -z*c + 57. What is the least common multiple of c and 21?
63
Suppose 8*i = -0*i + 48. Find the common denominator of (i/(-9)*(-4806)/168)/(-3) and 5/8.
56
What is the common denominator of ((-6)/(-21) + (-96)/(-7))*206/(-16480) and -67/65?
520
Let d = 3821 + -84017/22. What is the common denominator of (-1060)/1392*(-1)/5 and d?
3828
Let v = -268093/790 + 1696/5. Find the common denominator of v and (-6)/(-8)*(27 + 1586/(-156)).
632
Let h = 1072 + -658. Let n = h - 390. Calculate the least common multiple of 52 and n.
312
Suppose 2702 = -334*b + 527*b. What is the smallest common multiple of 569 and b?
7966
Calculate the smallest common multiple of 549 and 6408/5 - (-25 + 3328/130).
3843
Suppose f + 4*q = 18, 3*q - 6 = f + 11. Let s be (2 + 523/(-31))*f. Let c = s - 47983/1581. What is the common denominator of c and 27/8?
408
Suppose 0 = 41*q - 46*q - 700. Suppose -5*z + 0*z + 33 = 4*u, 20 = 4*z. Calculate the common denominator of 21/u*330/q and -139/42.
84
Suppose y + 269 = f, 4 = 2*y - 6. Suppose 1382 = 23*q - f. Calculate the smallest common multiple of 24 and q.
72
Suppose -5*g = 3*k - 981, 487 + 297 = 4*g + 2*k. What is the least common multiple of g and 858/122 - (-422)/(-12871)?
1365
Let w = -615 - -8605/14. What is the common denominator of 90/52*(-3)/3 and w?
182
Suppose -z = -24 - 36. Calculate the common denominator of ((-108)/8)/(z/9) and 61/20.
40
Let a = -22 + 17. Suppose 14*t - 14 = j + 18*t, 2*t - 14 = -4*j. Find the common denominator of (31/a + 6)/(j/(-535)) and -8.
6
Let h(b) = -b + 3. Suppose -g + 7*g + 48 = 0. Calculate the smallest common multiple of h(-6) and -8*(0 + 6/g).
18
Suppose 5*t = 20, 2*z - t + 16862 = 4*z. Let v = 460618247/22 - 20928760. Let l = z - v. Find the common denominator of 101/12 and l.
132
Let k be (-8 - -5) + 2189/11. Suppose 27*t = k + 587. Calculate the lowest common multiple of 7 and t.
203
Let t(w) = 7*w - 50. Let l(a) = -a. Let y(q) = -22*l(q) - 2*t(q). Calculate the lowest common multiple of 48 and y(-8).
144
Find the common denominator of -63/10 and (-10)/(-2) + (18 - 17)/(728/(-3882)).
1820
Let d = -376 - -56. Let l = -304 - d. Calculate the smallest common multiple of l and 26.
208
Find the common denominator of ((-25)/(-49000)*6)/((-108)/1005) and -85/1056.
51744
Find the common denominator of -16/9 and (-14745)/(-18)*5/1775 - 2.
1278
Suppose 369*w + 36 = 381*w. What is the smallest common multiple of w and 707?
2121
Let a(g) = g**3 - 4*g**2 - 4*g - 1. Suppose 0 = -9*m - 352 - 62. Let j = 52 + m. What is the lowest common multiple of a(5) and j?
12
Let t(a) = 50*a**3 - 5*a**2 - 6*a + 22. Suppose -6*k - 7 + 19 = 0. What is the least common multiple of 1 and t(k)?
390
Let c be (0 - -15)*28/35. Let g(s) = 0*s**2 - 1 + s**2 + 2*s - 5*s - c. Calculate the lowest common multiple of 27 and g(7).
135
What is the common denominator of ((-44)/1054)/(-28*172/903) and 95/6?
12648
What is the common denominator of ((-9)/(-18))/((-7)/73) and ((-29)/(-4))/((-42)/4)?
42
Let i(w) = w**3 + 13*w**2 + 11*w - 20. Let m be i(-12). Find the common denominator of 90/(-4) - 1/3 and 970/m*6/135*3.
6
Let t = -18479815/924 - -219488/11. Let o = t + 353/7. What is the common denominator of o and -41/6?
12
Find the common denominator of -71/1830 and 0 + 22254*5/54900 - (-1 - -3).
1830
Let l = 51373/15 + -3425. Calculate the common denominator of l and -58/489.
2445
Suppose -f = 0, 0 = -2*l - 2*l - f + 80. Let n be (14/l)/((-552)/(-14576)). Let q = 21/115 + n. Find the common denominator of 58/9 and q.
9
Let l = 1619/130350 - 5/869. Calculate the common denominator of l and -7/528.
13200
Let n(x) = x**2 + 7*x - 13. Let g be n(-8). Suppose 4*v = -2*v + 60. Calculate the smallest common multiple of 27 and 1/(g/v) - -20.
54
Suppose -