Calculate the least common multiple of o(-1) and 10/(11 + (-882)/81).
180
Let r = 3 - 27. Let d = -13 - r. Suppose -32*q + 154 - 58 = 0. Calculate the least common multiple of q and d.
33
Let g = 10284 - 10236. Calculate the lowest common multiple of g and 2088.
4176
Suppose 613*u + 12432 = 835*u. Calculate the lowest common multiple of u and 833.
6664
Suppose -2*n = -4*n + 4. Let q(c) = 9*c - 16. Let r(s) = 18*s. Calculate the smallest common multiple of r(1) and q(n).
18
Let t = 300 + -280. Suppose 0 = -t*c - 13*c + 990. Suppose -105 + 33 = -3*z. What is the smallest common multiple of c and z?
120
Calculate the smallest common multiple of ((-4)/42 - (-473)/(-231))/((-3)/3759) and 9.
8055
Suppose 15 = 37*x - 34*x. Suppose 2*c - z = 7, 2*z - x*z = -15. Calculate the lowest common multiple of c and 2.
6
Suppose 6*v + 87 = -21. Let o = 120 - v. What is the least common multiple of o and 12?
276
Let f = 50 + -21. What is the common denominator of f - (-6 + 0 + 3) and 52/87?
87
Suppose -832 = -3*c - t, 397 + 135 = 2*c - 5*t. Calculate the least common multiple of 30 and c.
1380
Calculate the lowest common multiple of 960 and 14 + -1 + 12*(-6)/18.
2880
Find the common denominator of (16/60)/((-14)/28) and -7/1125.
1125
Let s = 46 - 46. Let j be 3 - (s - 3/(-3)). Suppose 0 = j*t - t - 20. Calculate the lowest common multiple of t and 2.
20
Suppose -10*x = 3797 + 513. Let r = 513 + x. Calculate the least common multiple of r and 4.
164
Let t = -117859/144 + 1637/2. Calculate the common denominator of -29/54 and t.
432
Let b be ((1752/15)/4)/(11/165). Let m = 2423 + -4945/2. Find the common denominator of m and 0/(-1) - (b/40 + -10).
20
Let s = 15 + -3. What is the smallest common multiple of s and 320/6*(-41)/((-2050)/60)?
192
Let a be (-6)/8*(-536)/201. Let p be 1*(-3 + 4) + 4. Suppose 0 = 4*h + 5*w - 4 + 1, -a*h + w + p = 0. Calculate the lowest common multiple of h and 70.
70
Suppose 0 = -7*i + 18 + 17. Suppose 0*x - 5*x = -5*b + 140, -i*b + 144 = -3*x. Let r(c) = 2*c**2 - 8*c + 8. What is the lowest common multiple of r(4) and b?
120
Suppose -174 = 5*i + 2*x, 5*i + 75 + 85 = 5*x. What is the common denominator of -1/9 and (0 - 19/3)/(i/(-85))?
18
Let l(z) = 2*z**2 - 7*z + 5. Let r be l(8). Let q = r - -5. Suppose -3*i - 101 = -5*o - 41, 0 = 4*o + i - 31. Calculate the lowest common multiple of q and o.
738
Let m(a) = 775*a + 15. Let k = 52 + -43. Let j be m(k). Let f = 69817/10 - j. What is the common denominator of f and -61/6?
30
Let b(m) = 2*m**2 + m**2 - m**2 + 2*m**2 - 2*m. Suppose 33*x - 7*x = 78. What is the smallest common multiple of b(x) and 18?
90
Suppose -56 = 26*z - 264. Suppose z*x + 5*x = 52. Suppose -3*r + 4*t + 24 = 0, -5*r = -0*r + 3*t - 69. What is the smallest common multiple of r and x?
12
Let b = -573925/6146322 - 1/33771. Calculate the common denominator of b and -77/754.
5278
Let h be (9/2)/(102/(-40)). Let n = 338/153 + h. Find the common denominator of 6 + ((-2)/(-12))/((-125)/(-200)) and n.
45
Let q(p) = 532*p**3 - 5*p**2 - 3*p. Let y be q(-1). Calculate the common denominator of 0 + (4/(-48))/(3/y) and 143/12.
12
Suppose -2*y + 5*g = -1441, -4*y + 1527 = -5*g - 1350. Suppose -722*q = -y*q - 48. What is the smallest common multiple of q and 16?
48
Suppose -13*w = -12*w - 98. What is the least common multiple of 7/(w/(-4)) + (-132)/(-21) and 2?
6
Let l = -2673611/64 + 41776. Calculate the common denominator of l and 71/520.
4160
Let u = -12540 + 300847/24. Calculate the common denominator of u and 5 + (-1287283)/312564 + (-8)/14 + (-58)/87.
1464
Let p = 33/13 - 2319/806. Suppose 5*b - 12 = 3*o + 7*b, -2*o - b = 8. What is the common denominator of o/16 - (-234)/(-40) and p?
310
Find the common denominator of ((-435)/108 - -2)/(196/(-112)) and 35/1017.
7119
Let d be (-6)/5*((-4048)/4103 + 1). Let m = 42113/2238 - d. What is the common denominator of m and ((-10)/(-64))/((-4)/(-38))?
192
Suppose -255 - 31 = -26*f. Suppose -243 = -29*n - f. Calculate the lowest common multiple of 1044 and n.
2088
Suppose 14*c - 258 = 11*c - 69. Calculate the lowest common multiple of c and 910.
8190
Suppose -m - 20 = -d, 102 = -4*m - 2*d + 16. Let q = m - -23. Let t(o) = 4*o**2 - 6*o + 2. What is the least common multiple of q and t(2)?
6
Let j = -1/264 + 3571/1848. What is the common denominator of j and 23/4095?
8190
Suppose l + 4*l + 21 = f, 5*l = -5. Calculate the smallest common multiple of f and (-12 + 704/40)/((-2)/(-5)).
112
Calculate the smallest common multiple of ((6/3)/(16/(-4)))/((-16)/42240) and 50.
6600
Let f = 2892/13 + -94565/429. Let i = 510420155 - 21436604927/42. Let t = 24802 - i. Calculate the common denominator of t and f.
462
Let s = 12622958/974625 + -4388/339. What is the common denominator of s and -2/875?
20125
Let x be 4 - (4 + -12) - (3 - 2). Let p = 319/18 - x. What is the common denominator of p and -1 + (-4)/(48/87)?
36
What is the common denominator of (-10)/(-156)*214/10 and (6/(-12))/((532/518)/19)?
156
Let r = -164 - -166. What is the smallest common multiple of r/1 + -1 - (-88)/44 and 59?
177
Let h(v) = v**3 - 2*v + 2. Let u be h(2). Let c = -5 + 244. Suppose u*q = c - 59. Calculate the smallest common multiple of q and 6.
30
Suppose -13 = -2*b - k, 5*b + 3*k = 6*k + 60. Calculate the smallest common multiple of b and 918.
918
Let h be 0 + 5 + 112746/(-368). Let n = h + 303. Find the common denominator of -29/18 and n.
72
Let j(f) = -42*f - 2468. What is the smallest common multiple of j(-74) and 16?
640
Let w be -17 + 19 + (-4055)/4. Let k = -1005 - w. Find the common denominator of k and 39/67.
268
Let t(v) = v**2 - 99*v + 1586. Let a = -67 + 154. Calculate the lowest common multiple of t(20) and a.
174
Let r be 12 + (-142625)/98 - 2/14. Let p = r - -1393. Let z = 324869/574 - 3966/7. Calculate the common denominator of z and p.
82
Let f(v) = -2*v**2 - 63*v + 174. Calculate the smallest common multiple of 297 and f(-30).
2376
Suppose 0 = -4*o - 8, 1131*o - 1127*o = -4*s + 8044. What is the smallest common multiple of s and 36?
24156
Let o = -8499/190 + 22/95. Let n be 26/(-26) + -9 + 0. Find the common denominator of o and 191/n - 2/5.
2
Let i = 169 + -143. Let z = 113 - i. What is the lowest common multiple of z and 6?
174
Let h = 170/31 + -4055/372. Let j be (204674/4)/(23172/(-8)). Let v = j - 2/1931. What is the common denominator of h and v?
12
Let i = -72781/27641475 + -20/25713. What is the common denominator of i and 29/30?
6450
Calculate the lowest common multiple of (-1 - -1363) + ((-7 - -28)/3 - 1) and 3762.
15048
Suppose 0 = 3*h + 916 - 31. Let j = 301 + h. Calculate the lowest common multiple of j and 28.
84
Let g = 300 - 298. Calculate the smallest common multiple of ((15 - 9) + (-3 - 2))*141 and g.
282
Calculate the least common multiple of (-247)/3705 - 123391/(-15) and 24.
32904
Suppose -4*f + 191 - 133 = 5*d, 28 = f + 8*d. Calculate the lowest common multiple of f and (-110)/(-1) + 3 + -5.
108
Calculate the least common multiple of (2/(-4))/(1919/480 + (-4 - 0)) and 264.
2640
Suppose -2*y - 18*l + 15*l = -96, 3*y - 165 = -l. What is the lowest common multiple of y and 703?
2109
Let m = 11525/33 + -349. Calculate the common denominator of 19/264 and m.
264
Suppose -4*i = -i + 12. Calculate the least common multiple of (5 - 2) + i - -2 and (48/28)/((-18)/(-84)).
8
Suppose 4369 + 105719 = -8*v. Let s = 247561/18 + v. Calculate the common denominator of s and 33/28.
252
Let c be (-9)/((-81)/6) + (-13)/(-3). Let v be ((-4)/10)/(c/(-25) - 0). Find the common denominator of (-14)/(-147)*18*3/v and 49/12.
84
Let j = 636 - -394. What is the smallest common multiple of 412 and j?
2060
Let u(y) = -3*y - 3. Let z be u(-2). Suppose -111 + 21 = -z*q. Calculate the lowest common multiple of 34 and 12/5*q/4.
306
Let j = 87342 + -35722905/409. Calculate the common denominator of j and -54/5.
2045
Suppose -2*t = v + 2894 - 7149, -3*t - 5*v + 6365 = 0. What is the smallest common multiple of 142 and t?
2130
Suppose -28 = 4*r + 5*c, -3*r + 160 - 119 = -4*c. What is the smallest common multiple of r and (-6)/4*16/(-1)?
24
Suppose -89 = 4*l + 87. Suppose 423 = 16*m - 345. Calculate the common denominator of 11/10 and (l/m + (3 - 2))*-302.
30
Calculate the common denominator of (-1047)/(-2970) + ((-1