5616
Suppose 3*u - 432 = -417. Let g(o) = o**2 - 6*o + 17. What is the smallest common multiple of (10 - u) + -1 - 1 and g(5)?
12
Let h = 162 - 149. Suppose -h*q + 24*q - 44 = 0. Let c = 40 - 18. What is the smallest common multiple of q and c?
44
Find the common denominator of 6/(-75) + ((-312137)/(-6800))/43 and -53/248.
2480
Let y = 2/1533 + 67/4599. Let r = y - 4/7. What is the common denominator of 12/(-8) - 8/(-4) and r?
18
Let w = -3 - -3. Suppose m - p - 11 = w, -4*m - p + 55 - 21 = 0. Let f = -136770 + 136800. Calculate the smallest common multiple of m and f.
90
Let o(h) = h**3 + 15*h**2 - 36*h + 21. Calculate the lowest common multiple of 0 + 55 - 0/7 and o(-17).
55
Let s = -2568/93918257 + 808893249751217/99177679392. Let r = s - 8156. Let d = -57019/5280 - r. Calculate the common denominator of -149/6 and d.
30
Let v = 28825/36 + -3221/4. Suppose 2*r = -2*i - 1004, 3*i - r + 1672 - 154 = 0. Find the common denominator of v and (i/180)/(2/4).
18
Suppose 3*k + 12 = 0, 4*k + 11 - 90 = -5*l. Suppose 17 = -c + l. Calculate the least common multiple of c and 16.
16
Let h = 340/437 + -7/23. Let t = 2/196173 - -87166127/7454574. Let n = h + t. Find the common denominator of n and 137/6.
6
Let x(m) = -m**2 + 165*m - 1398. What is the least common multiple of 10 and x(9)?
30
Let b(x) = 3*x + 71. Suppose 5*c + 50 = 3*j, 3*j + 25 = -2*j. What is the lowest common multiple of b(c) and 64?
64
Suppose 0 = 8*k - j + 1207 - 3734, -2*k - j + 623 = 0. What is the lowest common multiple of 5 and k?
315
Let j = 94 + -87. Let f = j - 19. What is the common denominator of -51*((-47)/f + -4) and 59/6?
12
Suppose 10*y - 185 = 55. Suppose -2*v + 20 = 4. What is the lowest common multiple of y and v?
24
Let x = -79570035607/3737043 - 1956/138409. Let f = x + 21295. What is the common denominator of 127/174 and f?
1566
Let k(m) = m**2 + 18*m - 92. Let h be k(4). What is the common denominator of 164/96 + 8 + h and -137/24?
24
Let k = -6738155023/8392 + 802926. Calculate the common denominator of k and -85/32.
33568
Suppose -l - 8 = -4*n, 4*n + 4*l + 238 = 266. Suppose 0 = -b - 0*b - 48. What is the lowest common multiple of (n/(-3))/(3/b) and 16?
16
Let d = -10796407/132 - -81792. Find the common denominator of 29/96 and d.
1056
Calculate the common denominator of ((-1)/(-2))/(18/27*(-3)/(-55)) and 83/240.
240
Let p = 184/27 - 2561/216. Find the common denominator of p and -61/762.
3048
Let k(j) be the second derivative of -251*j**4/12 + j**3/6 - 4*j**2 + 16*j. Let o be k(4). Let m = o - -96451/24. Find the common denominator of m and -59/15.
120
Let l be 1*(6 + -3) + 417. Find the common denominator of 7/6 and (-4)/(-6)*3*749/l.
30
Let b = -4933229413/2678 - -1842132. What is the common denominator of 29/2 and b?
2678
Let p = 167 - 200. What is the common denominator of 1611/4554 + ((-6)/p)/(-1) and 37/12?
3036
Suppose 2*j + 10*w + 26 = 8*w, 0 = 4*j + 2*w + 44. What is the smallest common multiple of 5 - (-6)/j*-6 and 68?
612
Let u(h) = 2*h**2 - 9*h - 42. Let o be u(-3). Suppose 0 = 4*i - 5*a - 3, 2*i - o*i - a + 3 = 0. Calculate the least common multiple of i and 9.
18
Find the common denominator of ((-40)/1856)/((-1)/(-42)) and (-1)/4 + 27/((-324)/(-84)).
116
Let v = -747116/129073 + -40448032355/2616051564. Let r = 1/5067 - v. Find the common denominator of r and -65/44.
44
Let n(k) = -4*k**3 + 28*k**2 - 21*k + 187. What is the lowest common multiple of n(7) and 176?
880
Calculate the common denominator of -6 - 3/(-1) - (-97)/(-4074) and -5/1353.
18942
Let u = -43 + 78. Let z(q) = 8*q**3 + 26*q**2 - 31*q - 71. Calculate the smallest common multiple of u and z(-3).
280
Suppose 0 = -5*w + 3*y - 18, -4*y + 18 = -4*w + 2. Calculate the smallest common multiple of 14/w*-9*(-12)/(-126) and 5.
20
Let x = -2546 + 30533/12. Let q = 9940 - 835039/84. Find the common denominator of q and x.
84
Suppose -257*r - 721 + 28994 = -3595. Calculate the least common multiple of r and 8.
248
Calculate the least common multiple of 330 and (-20)/4 + 2 - -21*1.
990
Let n = -34460418101582/11145 - -3092007003. Let o = 3/1486 + n. What is the common denominator of -101/30 and o?
30
Let x be (3/2)/((-3)/(-6)). Suppose -x*c - 3 = -15. Suppose -5*h - 24 = -c*d, -d - 4*d - 11 = 4*h. Calculate the lowest common multiple of d and 9.
9
Let r(i) = -2*i**2 - 51*i - 34. Let l be r(-27). Let s = 123 + l. Suppose 5 = -t + 19. What is the lowest common multiple of s and t?
56
Let s = -7510 - -7514. What is the least common multiple of s and 212?
212
Let o = 172/1263085 - -90453801363/73258930. Let v = o + -6169/5. Find the common denominator of v and -29/10.
290
Let r(j) = -j**3 + 40*j**2 + 79*j + 1. What is the lowest common multiple of r(-2) and 817?
8987
Let a be ((-3070)/15)/((-8)/329) + -3. Let g = a - 8409. Find the common denominator of 137/48 and g.
48
Let q be 3*(2/(-47862))/((-5)/(-15)). Let l = -66571/255264 - q. Calculate the common denominator of l and -121/12.
96
Let l(r) = -r**2 - 35*r - 56. Let q be l(-37). What is the common denominator of -23/26 and -3 + ((-495)/q - 1)?
26
Let u be (-4 + (-4)/(-12))*12/1076. Let w = u - -19132/807. Let j = 4443 - 97635/22. What is the common denominator of j and w?
66
Let s(l) = 27 + 7 + 111 + 9*l. Calculate the lowest common multiple of s(-16) and 4.
4
Let i be (-50 + (0 - -4))*-1. Let t = 49 - i. Let h(j) = 4*j - 10. What is the lowest common multiple of h(t) and 16?
16
Let m = 9160767/20 + -458039. Let i = 1495145/36 + -41528. Find the common denominator of i and m.
180
Let n(k) be the first derivative of -k**4/4 - 43*k**3/3 - 83*k**2/2 + 25*k - 33. What is the least common multiple of 9 and n(-41)?
198
Suppose -24*w + 6*w + 177996 = 60*w. Calculate the smallest common multiple of 14 and w.
2282
Let r(h) = 3*h**2 - 421*h - 7075. Calculate the least common multiple of 5 and r(-16).
2145
Let k be -1 + ((-34069)/(-51) - 2). Let l = 1482 - 2147. Let s = k + l. What is the common denominator of -149/6 and s?
102
Suppose -16*l - 27*l - 218560 = -63*l. Calculate the least common multiple of 20 and l.
54640
Let a = 9643/6 - 1627. Let l = -20201/1611823 + 15/1949. Let m = -38006/7443 + l. Find the common denominator of a and m.
18
Suppose 3*h = -5*i + 24, 5*h + 4*i = 21 + 19. Suppose 0*z = -z - 2*d - 30, 4*z + d + 120 = 0. Let f = -12 - z. What is the smallest common multiple of f and h?
72
Let b be ((-4)/(-6))/(5/((-210)/4)). Calculate the common denominator of 139/66 and 562/(-84) - (-13 - b).
462
Suppose 7*a + 296 = 44*a. Suppose -a*s + 165 = 45. Suppose 0*d = g + d - 3, 0 = -3*g - 5*d + 3. What is the smallest common multiple of s and g?
30
Let b(j) = -2*j**3 - 13*j**2 - 8*j - 4. Let w be b(-8). Let m = -180 + w. What is the least common multiple of 22 and m?
792
Suppose -12 + 80 = -17*h. Calculate the lowest common multiple of 1/h - 6/(144/(-9894)) and 8.
824
Calculate the least common multiple of 360 and 169974/284 + 6/4.
1800
Let x = 2831 + -67919/24. Find the common denominator of x and (-64)/10*(-5)/3.
24
Let a = -282/35227 - 3792782589/352270. Let b(c) = -7*c**3 - 13*c**2 + 9*c + 33. Let g be b(11). Let p = a - g. What is the common denominator of p and -17/6?
30
Calculate the common denominator of (-3 + 1 - -2) + 14018/387940 and -13/357.
3570
Let k = 43081 - 24136. Let v = 341105/18 - k. Let i = 32495/14928 - -10/933. What is the common denominator of v and i?
144
Suppose 0*i + 9*i - 18 = 0. Suppose i*w + 48 = 8*w. Suppose a = -5*l + 48, 3*l + 0*a = -a + 30. What is the lowest common multiple of l and w?
72
Suppose 14457*x - 14467*x + 250 = 0. Calculate the least common multiple of x and 100.
100
Suppose 0 = h - 4*h. Suppose h = -3*k + k. Let n = k - -16. Calculate the smallest common multiple of n and 4.
16
Suppose -6*c - 4*c = 510. Find the common denominator of (-2)/(-16) + c/36 and 106/8*(-2)/(-15).
120
Let k be 1/(-2) - 109935/594 - 6. Let u be (-4)/(-16)*(-2342)/(-3). Let x = k + u. Calculate the common denominator of x and 89/2.
22
Let l = 20386 - 20376. Suppose 90 = 4*i + i. Calculate the lowest common multiple of i and l.
90
Let t(x) be the third derivative of -x**5/30 + 11*x**4/24 - 9*x**3/2 + 175*x**2. Calculate the common denominator of 32/157 and t(5).
157
Let j = 4094219501/3283 + -1247097. Find the common denominato