e -2 = -0*t + 2*t. Calculate the common denominator of 1*((-198)/15 - t) and (-2)/3 + 65/9.
45
Suppose 2*r + 4*o = 38, 4*r - 108*o + 103*o = -28. Let u = -16 - -24. Calculate the least common multiple of r and u.
24
Calculate the least common multiple of (-24)/(-14)*6426/36 and 459.
918
Suppose 84 = 4*i - 12. Calculate the smallest common multiple of i and 1.
24
Let m be -3 - -5 - 20/4. Let n be ((-432)/(-10))/(m/(-120)). Let s = n + -6957/4. Calculate the common denominator of 35/18 and s.
36
Calculate the common denominator of (228/54)/((-4)/15) and 85/98.
294
Let r = 2 + -4. Calculate the lowest common multiple of (1 - -16) + 2/r and (-6150)/(-350) + 3/7.
144
Let l = -6 + 11. Suppose -2*o + 5*a + 40 = 2*o, l*o - a = 29. What is the lowest common multiple of o and 11?
55
Suppose 4*m - 20 = -5*v, 2*m + v + 4 = 20. Calculate the least common multiple of m and 40.
40
Let q = 16911/15532 - -3/1412. Suppose 0 = -3*a - 6*a + 396. What is the common denominator of a and q?
11
Calculate the common denominator of 31/124 - (-433)/(-72) - -5 and 25/14.
504
Suppose -29*b = -96*b + 8040. What is the least common multiple of b and 30?
120
Calculate the common denominator of 59/224 and (-120)/(-12) - (-330)/(-80).
224
Let g = -53 + 76. Suppose 4*b = h + g, -2*b + 2 = -4*h + 8. Calculate the least common multiple of b and 10.
70
Suppose 0 = q + 4*r - 13 + 1, 2*q = 3*r + 57. Let v(c) = -4*c**2 + 50*c + 177. What is the smallest common multiple of q and v(15)?
216
Let f = -11/27 + -1/108. Let k = 348/11 + -7550/231. What is the common denominator of f and k?
84
What is the common denominator of ((-4)/16)/(1/43) and -43/16?
16
Let k = -108745/16 + 6801. Find the common denominator of 89/4 and k.
16
Let z = -1604/345 + 11/690. Find the common denominator of z and -89/6.
30
Let j = 29471/20 - 4420/3. Find the common denominator of j and 113/108.
540
Suppose -4 = -3*y - k, y = 5*y + 3*k - 12. Calculate the common denominator of -3 + (-64)/9 + 3 and 2*(33/18 + y).
9
Let x = 301 - 280. What is the least common multiple of 21 and x?
21
Let l be (-2)/(-4) + (-47)/(-2). Let g = 130 - 295/2. Calculate the common denominator of g and (303/l)/((-1)/1).
8
Calculate the common denominator of 7/99 and (2 - 57/30)/((-45)/1740).
495
Let a = 554 - 494. What is the least common multiple of 12 and a?
60
Suppose k + 4*j + 35 = 6*k, 3*k + j = 21. Calculate the least common multiple of k and 12.
84
Suppose 16 = 4*g + 3*o, -6*g + 4*g = 3*o - 8. Suppose -4*a + g = 0, -3*c + 12 = -2*a - 13. What is the lowest common multiple of 30 and c?
90
Let b = -17479 + 629147/36. What is the common denominator of b and (-3 - 74/(-24))*-22?
36
Let b(a) = 5*a + 14. Let f be b(-2). Suppose 6*u - 2*s = f*u + 36, 5*u - 84 = 2*s. Calculate the lowest common multiple of u and 4.
16
Let s = 1711 + -3343/2. What is the common denominator of s and (-202)/40 - (-2)/(-2)?
20
Suppose 7*p = 2*d + 2*p - 51, 153 = 5*d - 4*p. What is the lowest common multiple of 96 and d?
1056
Let r be (20/7 + -2)*21. Let q = -179 + 190. Let u = r - q. What is the lowest common multiple of u and 6?
42
Let t(h) = h**3 - 9*h**2 - 21*h + 5. Let j be t(10). Calculate the common denominator of (-64)/(-48) + 209/j and -49/3.
105
Let v(g) = 40*g + 373. What is the smallest common multiple of 19 and v(-9)?
247
Let y = -10/3191 - 436987/57438. Calculate the common denominator of y and 51/296.
2664
Let z(o) = -5*o + 108. What is the smallest common multiple of z(20) and 54?
216
Let p be -14*1*(3 - 4). Suppose 0 = 4*d - 2*d - p. Let n = d + -5. Calculate the smallest common multiple of n and 1.
2
Let r = -43/25970 - 3/980. Let d = -8053/636 + r. Let g = 7401/11 + -672. What is the common denominator of d and g?
33
Let b = -44 - -22. Let f = -157/8 - b. Calculate the common denominator of f and -83/12.
24
Let f = -2340431/940 - 579/188. Let s = f - -2490. What is the common denominator of (4/(-16))/(((-27)/30)/(2331/105)) and s?
30
Find the common denominator of -59/18 and 492/840 + -8 - 2/7.
90
What is the common denominator of -39/20 and 278*(-6)/200 - -8?
100
Let r be 1/2 - (-30)/4. Let n(o) = o - 3. Calculate the least common multiple of n(r) and 1*(-2)/(-1) - -7.
45
Suppose -2*p + 240 = -p - 2*j, 3*j - 9 = 0. Calculate the common denominator of p/44 - (-2 - -3) and 2/(-2) + 22/(-80).
440
Let v = 6566 + -104987/16. Find the common denominator of 103/336 and v.
336
Let p = -25 - -19. Find the common denominator of (608/16)/(1 + p) and -51/7.
35
Let l be 5 - (-19 - 0) - 0. What is the common denominator of 75/16 and 6/l + (-86)/8?
16
Let r(q) = 2 - 12*q + 4*q + 6*q. Calculate the lowest common multiple of 16 and r(-4).
80
Let y(c) = 2*c. Let w be y(2). Suppose 0*s - s = -w*p, 2*s = -5*p - 13. What is the common denominator of 89/18 and -201*p/162 - 4?
54
Suppose -4*w - 5*i - 1 = -127, -5*i - 44 = -w. Let y = 62 - w. Let x = -172/3 - -55. What is the common denominator of y and x?
3
Let t = 63/470 - 4544/11985. Find the common denominator of -91/24 and t.
408
Find the common denominator of 2/7 - (-951)/(-609) and 104/14*(-854)/(-2684).
319
Let f = 288339/119 + -2423. Let m = f - -454/1309. Find the common denominator of m and -18/19.
209
Let p(s) = -s**3 + 5*s**2 + 5*s + 7. Let i be p(6). Calculate the common denominator of (-1510)/120*-2*i and 43/3.
6
Calculate the lowest common multiple of (415*8/20)/(1 + 0) and 8.
664
Suppose -i - 3*i = -8. Let d = 18 - i. Find the common denominator of 50/3 and 247/(-36) - 4/d.
9
Let h = -30253/6 - -5063. Find the common denominator of h and -2 - ((-41)/2 + 1).
6
Suppose 2*j - 4*p = 594, 2*j - 50 = -5*p + 571. Calculate the lowest common multiple of 36 and j.
3636
What is the common denominator of -41/48 and ((-9)/84)/((-18)/(-452))?
336
Suppose -4*s - w - 49 = -2*w, 3*s - 4*w = -27. Calculate the common denominator of 113/10 and 2/s - 1412/(-728).
70
Let d be (-21)/(-4) - (-1)/(-4). Suppose d*t + 2*m = 50, t + 4*m + 0*m = 28. What is the least common multiple of t and 11?
88
Let n(j) = -j**3 + 4*j**2 + 5*j + 11. Let t be n(7). Suppose 0 = -7*g + 2*g + 20. Calculate the common denominator of 15/4 and (6/g)/((-9)/t).
12
Let k be 6 + -17 - (1 + -1). What is the lowest common multiple of 36/1*k/(-22) and 18?
18
Calculate the common denominator of 0 + 6 + 9 + (-5334)/392 and -27/52.
364
Suppose -3*v = -14 - 7. What is the smallest common multiple of 162 and v?
1134
Suppose 62 = -11*z + 10*z. Let t = 80 + z. Calculate the lowest common multiple of 50 and t.
450
Suppose 0 = 5*c - 8 - 2. Let j(q) = 0*q**2 - 1 + 6*q**2 + c*q**2 - 10*q + q**3. What is the least common multiple of j(-9) and 10?
40
Suppose -4*k = k + 2*f - 12, -3*k = 5*f - 11. Let v(q) = -6*q - 5*q + 7 - 3*q + 15*q. What is the least common multiple of k and v(9)?
16
Suppose 2*j - 5*d - 1 = -0*d, 2*j + 4*d - 10 = 0. Find the common denominator of (-1)/((-8)/51) - 2 and ((-76)/(-66))/((1/j)/(-1)).
88
Let b = -94633/18 - -5263. Let x = 239 + -96. Find the common denominator of x/6*(-2)/(-2) and b.
18
Suppose 3*p - 176 = -4*t - 32, -t = 3*p - 45. What is the lowest common multiple of t and (-11)/(-5)*(42 + (-42 - -15))?
33
Let t(d) = -d**3 + 15*d**2 - 18*d - 11. Let g be t(13). Suppose -67 = -4*r + g. Suppose -2*u + r - 32 = 0. Calculate the smallest common multiple of u and 1.
4
Suppose -o = -0*o + u - 2, -10 = -4*o - 2*u. Let h(a) = 3*a - 10. Let v be h(8). Let t = v - 9. What is the smallest common multiple of o and t?
15
Let w = -221/7 + 745/21. What is the common denominator of 29/144 and w?
1008
Let z(j) = -14*j**3 - 2*j - 2. Let w(a) = -11*a**3 - 45*a**2 - 5*a + 4. Calculate the least common multiple of w(-4) and z(-2).
456
Let m = 437/18 + -129566/5337. Let i = 37058/5337 + m. Find the common denominator of i and (-3)/(330/(-95)) + -3.
198
Let r(g) = -g**2 - 4*g - 1. Suppose 16*u + 15 = 19*u. Suppose 26 = u*p + 2*n, p - 12 = 2*n - 2. What is the smallest common multiple of r(-3) and p?
6
Let o = -25 + 55. Let t(v) = -v**3 + 3*v**2 - 2*v - 2. What is the lowest common multiple of o and t(-2)?
330
Let c = 549054/248365 + 18/3821. Let t = 29/26 - c. What is the common denominator of t and 121/20?
20
What is the least common multiple of 43*(-11*(-7 - -6) - -1) and 3?
516
Suppose -5*x = 2*o - 5*o - 8, -3*o - 14 = -2*x. What is the common den