15. Calculate the smallest common multiple of u and 69.
69
Let l = 642 + -637. Let t(q) be the second derivative of q**4/12 - q**3/3 + q**2 - q. Calculate the smallest common multiple of t(-7) and l.
65
Let h be 36/(-30) + (-8559)/(-7125). Let l = 154387/9500 - h. What is the common denominator of l and (-4)/(-12) - 73/(-24)?
8
Calculate the lowest common multiple of 117 and (325/(-5))/((-19)/95).
2925
Let k(x) = x**3 - 29*x**2 + 3. Let g be k(29). Suppose g*j = 35*j - 640. What is the smallest common multiple of 100 and j?
100
Let v(m) = 10*m**2 - 6*m - 3. Let t(g) = -7*g**2 + 4*g + 2. Let n(f) = 7*t(f) + 5*v(f). Calculate the least common multiple of n(5) and (-1)/(6/(-90)) - -3.
126
Let v(d) = -d**2 + 10*d - 6. Let w be v(6). Suppose -1288 = 18*u - 1720. Calculate the least common multiple of u and (w/(-5))/((-3)/15).
72
Calculate the least common multiple of 4/54 + 70952/1512 and 470.
470
Let u(f) = -7*f + 27. Let q be u(7). Find the common denominator of 37/20 and 25/q*20/100.
220
Suppose 4*c = 4*s + 32 - 12, c - 4*s + 7 = 0. Let x = 157 - 94. Calculate the smallest common multiple of x and c.
63
What is the lowest common multiple of ((-1)/(-2))/(((-2)/288)/((-300)/90)) and 660?
2640
Suppose -5*s = -51*s + 9660. Calculate the lowest common multiple of s and 861.
8610
Let f be (-460)/(-229) - 4 - -2. Let n = -1663/6870 + f. Calculate the common denominator of 53/60 and n.
60
Find the common denominator of (48/(-3) - -17) + (-322)/24 and 13/3366.
6732
Let l = -632 + 644. Find the common denominator of 263/(-104) - (-4)/l*6 and 93/26.
104
Let t = 35 - -218. Let w = t - 249. Calculate the least common multiple of 205 and w.
820
Let b(r) = -r**3 + 6*r**2 + 11*r - 4. Let p be b(7). Calculate the common denominator of 39/p*(-90)/75 and (4/(32/(-39)))/6.
80
Suppose -v = 4*t - 25, 0 = 56*t - 64*t - v + 53. Calculate the least common multiple of t and 105.
105
Let g = 19 + -9. Suppose r - 15 = -5*a, a + 0*a + 23 = 5*r. Calculate the smallest common multiple of (-3 + r)*-2 + g and 1.
6
Let a(b) = 186*b + 1123. What is the smallest common multiple of 1081 and a(-6)?
7567
Suppose n = -4, -v - n = -0*n - 50. Let p = -52 + v. Suppose -y + f - 22 = -p*y, 5*y - f = 122. Calculate the smallest common multiple of y and 15.
120
Suppose -3*r + 16 = -4*z, 0 = 5*r + 7*z - 6*z - 19. Let j = -19 - -39. Suppose 0*p + 25 = -5*p, -5*m + j = 4*p. What is the lowest common multiple of r and m?
8
Let z = 43952/23163 + 8/1103. Calculate the common denominator of 64/8367 and z.
58569
Let r be ((-3)/(-4) + 1926/8)*2. Let w be r/(-2)*(966/6255)/(-7). Let c = w + 10/139. What is the common denominator of c and -99/16?
80
Suppose 2*i + 4*s = 20, 3*s + 4 = 3*i - 62. Suppose -4*y - k + 443 = 0, 177 + 382 = 5*y + 3*k. Calculate the least common multiple of i and y.
990
Let p(h) = h**3 + 24*h**2 + 14*h + 15. Let j be p(-19). Calculate the common denominator of -4 - (j/(-140) + 6/(-4)) and (2/5)/(16/124).
10
Let y = 3378 + -50639/15. Calculate the common denominator of y and -34/1065.
1065
Let o = -2756 - -2836. What is the smallest common multiple of o and 72?
720
Let k = 2341/6 - 15238/39. What is the common denominator of 431/90 + (-21)/(-35) and k?
234
Find the common denominator of ((-1)/24)/((8/(-944))/(-1)) and (-63)/16 - (-1 - 3).
48
Let q = 14387 - 9380327/652. Let i = q - -9801/4564. Find the common denominator of -52/7 and i.
7
Let d be 78 - (-1 - (-3 + 3)). Let v be -10*4/24*3 + -83. What is the common denominator of (d/3)/(v/33) and -61/4?
8
Let w = 60681 - 8009933/132. What is the common denominator of 33/76 and w?
2508
Let b(w) = 8*w**2 + 1. Let x(z) = 2280*z - 123111. Calculate the smallest common multiple of b(1) and x(54).
9
Suppose 0 = -4*a + 3*a + 2*j + 197, -2*a + 385 = 5*j. Calculate the smallest common multiple of 144 and a.
9360
Let k(n) = 3*n - 2. Let y(o) = 2*o**2 - 8*o - 25. Let w be y(6). Let b be k(w). Calculate the lowest common multiple of (-58)/b + (-6)/(-15) + -1 and 5.
55
Let u = -104 - -118. What is the lowest common multiple of 3 and u*((-774)/(-7))/9?
516
Let t be (1988/(-27))/(-14)*-3. Let a = -253/9 - t. What is the common denominator of a and -32/45?
45
Suppose -5*g - 3*o - 3008 + 348 = 0, -o + 540 = -g. Let b = -6401/12 - g. Find the common denominator of 6/(8/(-4))*(-6)/99 and b.
132
Suppose -m - 16 = -2*c, m = 3*m + 5*c - 13. Let l(b) = -b**3 - 9*b**2 - 14*b - 11. Calculate the common denominator of l(m) and 2/247.
247
Suppose -2*q - 3*f = q - 348, q + 5*f = 100. Calculate the least common multiple of q and 696.
3480
Suppose 8*x = 492 - 124. Find the common denominator of -59/9 and (0 - x)*(-26)/416.
72
Suppose f + 4*h + 8865 = 0, -3*f = h + 3*h + 26587. Let t = -318929/36 - f. What is the common denominator of t and 137/36?
36
Let w = -2966 + 26740/9. Calculate the common denominator of -93/104 and w.
936
Suppose 0 = -4*q + k + 42, 19*q - 24*q + 2*k + 54 = 0. Calculate the lowest common multiple of q and 304.
1520
Let g(n) = 3*n**3 + n - 2. What is the smallest common multiple of 850 and g(1)?
850
Let g(v) = -63*v - 1431. Calculate the lowest common multiple of 8 and g(-25).
144
Let c = 49/11 - 9/44. Let j = -16971 + 237693/14. What is the common denominator of c and j?
28
Calculate the common denominator of (-6)/(-80)*(-21)/(126/365) and (194/368)/(1/(-1) + 0).
368
Let g(l) = -l**3 + 8*l**2 - 19*l + 95. Calculate the least common multiple of 1033 and g(7).
11363
Suppose 4*r + 43 = -5. Let w(g) = 2*g**2 + 36*g - 18. Let s be w(-19). Find the common denominator of ((-99)/(-30))/(-3 - r/s) and -37/10.
40
Let t(y) = 70*y - 25. Let m be t(12). Suppose 130 = 21*b - m. Calculate the least common multiple of b and 95.
855
Let l = -989283 - -611376763/618. Calculate the common denominator of l and -151/618.
618
Let s be 164/10 + -1 + (-9)/(-15). Let k = s - -6. Suppose 4*a - 3*n - k = 0, 3*a + n = 2*n + 19. What is the least common multiple of 10 and a?
70
Let o = -49 + 51. Suppose 0 = o*d - 2*a + 10, 4*d + 6 + 12 = 3*a. What is the least common multiple of (0 - 2 - d)*112 and 20?
560
Suppose 3*o - 4*v = 20 - 27, 0 = v - 4. Suppose 3*d - 4*c = -8, -o*c + 18 = 3. Let i(m) = m**2 + m + 9. What is the smallest common multiple of i(0) and d?
36
Let m be 6/9*(2 + 4). Suppose -6*a - 18 = -15*a. Suppose -2*j - m*g = 10, 12 = -a*j - j - 5*g. What is the lowest common multiple of j and 8?
8
Let v = -21800/7 + 5755081/1848. Find the common denominator of v and -157/960.
10560
Suppose 0 = 10*r - 701 + 101. Calculate the common denominator of 101/42 and (-404)/r*9/6.
210
Let j = 12051574/10695 + -25914/23. What is the common denominator of j and -71/620?
1860
Let r = -1353 + 1375. Let v = 36 + -24. Calculate the common denominator of 56/27 and 8/r*(-14)/v.
297
Suppose 8*b = 16 + 48. What is the least common multiple of (b/(216/(-45)))/((-2)/54) and 35?
315
Suppose -1960 = 3*s + 33*s - 19744. What is the smallest common multiple of s and 26?
494
Let c(t) = -t**2 - 4*t - 11. Let a be c(-7). Let r = a + 74. Suppose -3*w = 2*n - r, 2*w + 3*n + 2*n = 39. Calculate the least common multiple of w and 18.
36
Suppose -5*o - 11595 = -4*i, o + 2898 = -3*i + 4*i. Let f = 43463/15 - i. Calculate the common denominator of (-92)/115 + (-436)/(-270) and f.
135
Calculate the common denominator of (-287)/(-48)*32/168 and (-309)/(-18) + 0 + 2.
36
Let m = 1702189/26 + -65454. Let u = m - 579/65. Calculate the common denominator of -50/9 and u.
90
Let c(v) = -3*v + v - v**2 + 2 + 2 - 8. Let m be c(-6). Find the common denominator of (4 - 3) + (-3 - m/(-88)) and 29/124.
1364
Let x(k) = -k**3 + 13*k**2 - 15*k. Let r be x(11). Let t = 461/6 - r. Find the common denominator of t and (0 + (-365)/30)/(2/2).
6
What is the common denominator of ((169 - 168)*(-29 + 0))/3 and (20/8)/(82/14)?
246
Suppose 67140 - 8140 = 25*b. Calculate the least common multiple of 1475 and b.
11800
What is the smallest common multiple of 309 and 28/84 - 256/(-15) - (-18)/30?
1854
Calculate the common denominator of 164314/11832 - (19 - 5) and 22.
204
Let y(b) = -84*b**2 - 7*b + 11. Let k be y(-6). Let a = 53465/18 + k. What is the common denominator of (340/(-84) + 4)/((-2)/9) and a?
126
Let c = 13099 + -786001/60. What is the common denominator of -89/276 and c?
1380
Let g(l) = 57*l - 10*l**2 + 9*l*