 + 8178100/(-256080)) and -83/10.
5820
Let q = 6829 + -6822. Let u(b) = -b + 2. Calculate the least common multiple of u(-3) and q.
35
Suppose -2*i = 6, -5*c - 5*i + 14 - 89 = 0. Let d(t) = -t**3 - 11*t**2 + 12*t + 7. Calculate the least common multiple of 70 and d(c).
70
Suppose 2*z - 759 = -3*m + 722, 0 = 3*z - 3*m - 2199. What is the lowest common multiple of z and 44?
8096
Let o = -25829/3 + 474401249/55101. Let i = 48323597/183670 - o. Let c = i + -264. Find the common denominator of 87/10 and c.
10
Calculate the common denominator of -35/4 and 10 - (6923/990 - -3).
1980
Let j be (-1 + -2)/(1/5). Let b = 2738273/80 - 34229. What is the common denominator of b and 27/(-90)*j/(-8)?
80
Suppose 3 = 9*g - 8*g. Suppose 4*s = -g*x - 2826, -3*s - 1885 = 2*x - 0*s. Find the common denominator of (-19)/(-95) - x/(-40) and 77/6.
12
Suppose 12*h + 88 - 316 = 0. Find the common denominator of ((-3287)/(-60))/h - 2 and -113/48.
240
Find the common denominator of 18/(-7)*520/(-195) and -76/2865.
20055
Let v(n) = -48*n - 3594. What is the least common multiple of v(-124) and 18?
2358
What is the common denominator of ((-6)/(-42))/(684/(-14))*(-348)/36 and -35/216?
4104
What is the smallest common multiple of 1/(-4) - (-207)/(-36) - (37 - 88) and (13/(13/150))/(1 - 0)?
450
Let n be -4*(18/4 - (-8)/(-2)). Find the common denominator of 87/2 and (n - 78/(-4))*(-1)/65.
26
Calculate the common denominator of (-1)/(120/1366) - (-1516)/11370 and -81/422.
844
Let s = 22 - 6. Suppose 2*z - 1 = -51. Let t = 34 + z. Calculate the least common multiple of t and s.
144
Let t = -9865 + 9891. Suppose 48 = 3*i + 2*i - 2*y, -3*i + 12 = 3*y. Calculate the least common multiple of t and i.
104
Suppose -11491 = 18*a + 6*a - 42163. Calculate the lowest common multiple of 12 and a.
2556
Let k be ((-44)/24)/(-11) - 4/24. What is the common denominator of (-54 - k)/(4 - 21) and -57/7?
119
Suppose 17*a - 19*a - 4*b + 312 = 0, 0 = -5*b - 15. Calculate the least common multiple of 90 and a.
810
Let b = 25673/5030 + -51/10. Let d = 5523/2515 + b. Calculate the common denominator of 2/2 - 23/(-3) and d.
15
Let u(q) = 417696*q + 19. Let s be u(11). Let t = -192992981/42 + s. Let x = t + 2913/7. Calculate the common denominator of x and -37/18.
18
Suppose 0*f = 3*f - 2211. Let c = -3662/5 + f. Suppose 0 = 3*h - 4*a - 75, -2*a + 1098 = -2*h + 1156. Calculate the common denominator of c and h.
5
Let j(k) = 81 - 36*k + 9*k + 11*k + 11*k. What is the lowest common multiple of j(-17) and 4?
332
Suppose 2*i = 2*u + 2, 2*i - 9*u = -4*u - 13. Suppose -i*n = -9*n + 3*m + 549, -n + 185 = m. Calculate the least common multiple of 1 and n.
184
What is the common denominator of -93/748 and ((-1288)/552)/((-5)/(-2) + -3)?
2244
Let m(x) be the first derivative of 28*x + 17/2*x**2 - 9 - 1/3*x**3. What is the lowest common multiple of m(18) and 20?
20
Let f = 279365/42 - 6652. What is the common denominator of f and (-47)/(-141) - 109/(-12)?
84
Find the common denominator of -81/464 and -1 + -6 + (-7410)/(-858).
5104
Suppose -129*o + 132*o - 810 = 0. Calculate the lowest common multiple of o and 10.
270
Suppose 9 = 4*a - 15. Calculate the common denominator of 1/a - (-716)/384 and ((-6)/(-165))/(36/(-2655)).
352
Calculate the lowest common multiple of 554 and (3/(702/(-504)))/((-6)/39).
3878
Suppose -5*z + a + 6635 = 2*a, -z - 2*a = -1336. Suppose 5106 = 7*r + z. What is the common denominator of (-24)/r*145/(-4) and 31/6?
18
Let k = 17/40 + 209/20. Find the common denominator of 4/2165 and k.
17320
Suppose 67*i = -22*i + 46225 + 19279. What is the least common multiple of i and 1012?
8096
Let t = -697524 + 122764275/176. Let m = 763 + -6145/8. Find the common denominator of m and t.
176
Let w = -102561/16 + 6406. Find the common denominator of -21/128 and w.
128
Let s = -6/263 + -12349/526. Calculate the common denominator of s and -49/138.
138
Let c = -7376 - -5841841/792. Find the common denominator of -29/720 and c.
7920
Suppose 0 = 3*v - 2*s - 75, 2*v - 76 = -s - 19. Suppose -13*k - 10*k - 414 = -1173. Calculate the smallest common multiple of k and v.
297
Suppose 68 = 5*k - s + 3*s, -30 = -2*k + 2*s. What is the least common multiple of k and ((-1)/(-2))/(59/1652)?
14
Let f be (-16)/(-48) + ((-647978)/192576 - -2). Let s = 42/1003 + f. What is the common denominator of 91/108 and s?
864
Let i = -565/114 + 300/19. Let z = -1697 + 13625/8. Find the common denominator of i and z.
24
Suppose 4*l - 4*t + 6*t = 6, -t + 5 = 4*l. Suppose 0 = 29*z - 326 + 94. Calculate the lowest common multiple of l and z.
8
Suppose -2778 = -31*w - 2468. Suppose 5*i - 15 = -0*i. Suppose -9 = -x + 5*y, -i*x + 2*y = 5*y - 9. What is the least common multiple of w and x?
20
Let z(r) = -7*r**2 - 59*r - 14. What is the least common multiple of z(-8) and 3098?
15490
Let j = 259 + -245. Let a = 33/47 - -3109/1128. Find the common denominator of a and (-6)/j - (11045/(-945) + 10).
216
Calculate the least common multiple of -1*6/2 - -2*1809/54 and 6.
192
Let o be (-7 - -3)*(-28 + 0). Let y be 1*1/4 - 11788/o. Calculate the common denominator of 55/2 and ((-40)/y)/((-4)/(-72)).
14
Suppose 4*l = b - 20 - 0, 24 = 4*b - 2*l. What is the smallest common multiple of 4/(-16) + 81/b and 170?
340
Let i be 3629024174/(-48)*-3*(-7)/(-574). Let a = -2766023 + i. Let y = a + 17/41. Calculate the common denominator of y and 123/10.
80
Suppose 8 = 3*w - 16. Suppose 5*a - 37 = -17. Calculate the smallest common multiple of (45/10)/(2/a) and w.
72
Let j be (22100/(-75))/(2/(-15)). Calculate the common denominator of (-3383)/j + (1 + -3 - -4) and -2/117.
1170
Let g = -58553 + 51526619/880. Find the common denominator of g and -49/640.
7040
Suppose 3*z + z - 3*h - 527 = 0, 0 = 4*z - 4*h - 532. What is the smallest common multiple of z and 16?
128
Let n be ((-12)/5)/(9*(-3)/1260). Suppose 2*f - n = 4*x, -2*f + 4*x - 5*x + 107 = 0. Calculate the least common multiple of 48 and f.
432
Let l(f) = -2*f**3 + 2*f**2 + f. Suppose 1 - 3 = 2*b. Let u(q) = -q**3 + 26*q**2 + 38*q + 512. Calculate the lowest common multiple of l(b) and u(28).
24
Let r be (-2)/(-4)*1*(4 - -4). What is the common denominator of (414/(-8))/(42/r) and 51/38?
266
Suppose -4*t = -3*i - 126, 4*i - 82 = -t - 2*t. Find the common denominator of 175/(-90)*99/t and -169/84.
84
Let k = -114 + 104. What is the common denominator of (-28)/(-360) + k/12 and -52/45?
45
Let d = -1685/2581 - -9/89. Let j = -59 + 38. Calculate the common denominator of ((-308)/j - -5)/((-20)/(-6)) and d.
290
Suppose 0 = -332*p + 386*p - 17010. Calculate the lowest common multiple of p and 42.
630
Let w be 4150/(-2)*(21 + -20). Let a = 16569/8 + w. Find the common denominator of a and -151/30.
120
Let g = -75 - -239/3. Let z = -1840086 - -18343587/10. Let h = z - -5737. Find the common denominator of h and g.
30
Let o(p) be the second derivative of -p**3 + 2*p**2 + 9*p. Suppose 8 = 3*y - 160. What is the least common multiple of o(-2) and y?
112
Suppose -60 + 118 = -z + 66. Suppose 0 = -4*h - t + 291, 0 = -5*t + 2*t - 15. Calculate the smallest common multiple of z and h.
296
Let o = 1/2842 - 164845/25578. Suppose -398 = 6*x - 3668. What is the common denominator of x/(-40) + 16 + -11 and o?
72
Suppose 5*h - 4*r = 24379, -4*h = -5701*r + 5697*r - 19504. What is the least common multiple of h and 780?
19500
Let p be (2/4*2)/((-7)/14). Calculate the common denominator of 44/27 and (-42)/(-396) + -2 - p.
594
Let t be (2/20)/(2/(-6269)). Let j = 311 + t. Find the common denominator of j and (-1)/9 - (-9)/1296*-2252.
20
Calculate the common denominator of (1 - (-146)/140) + -3 and (-2)/1260*-69*3.
70
Suppose 5*f = -q + 14, 60*f + 2*q = 58*f - 4. What is the smallest common multiple of f and 1127?
4508
Let t = -32715/16 - -2041. What is the common denominator of 21/1606 and t?
12848
Suppose -25 - 7 = -16*f. Suppose -5 = f*h - 5*i, h - 5*i = -22 + 7. What is the least common multiple of 15 and h?
30
Let m = 18013/25 + -720. What is the common denominator of 1/1175 and m?
1175
Let z = 46073 - 81088563/1760. Calculate the common denominator of -27/1936 and z.
19360
Let q = -1798/14763 + 15/133. Let x = q - 251/888. What is the common denominator of -47/9 and x?
72
Let p = 1443 - 1248. Let y = -179 + p. Suppose -5*x -