3
Let l = -1854/11 - -607947/3608. Find the common denominator of l and -37/72.
2952
Let z = 27 - 68. Let o = z - -55. Let a = 0 + o. Calculate the least common multiple of a and 16.
112
Find the common denominator of ((-5)/(-1))/10 - 5/(4230/473) and 133/6.
846
Let r = -9661/108 - -355/4. Suppose 0 = 3*w + 5*b + 94, -4*w - 135 = -2*b - b. What is the common denominator of r and ((-9)/(-54))/(w/(-348))?
297
Let g be (9/(-12)*1)/(4/(-80)). Suppose -6 = -t - z, 2*t + 5*z = 6*z + g. Calculate the smallest common multiple of t and 32.
224
Let d(o) be the third derivative of o**4/4 - 4*o**3 - 93*o**2. What is the least common multiple of 18 and d(6)?
36
Let x(p) = p**3 - 11*p**2 - 8*p - 26. Let n = -7 + 19. Let k be x(n). Let f = k + -17. Calculate the least common multiple of 9 and f.
45
Let i be (4 + -4 + 2)*1 + 106. Let v be (-1 + 2/(-2))*2. What is the common denominator of 7/36 and (i/(-20) + v)*(-5)/14?
252
Let f = -19584 + 137120/7. Let a = 92261 + -272713/3. Let r = 1378 - a. Calculate the common denominator of f and r.
21
What is the lowest common multiple of 198 and (1 - (-2)/(-6)) + (-8)/48*-260?
396
Let o(s) = 45*s**2 + 3*s - 4. Let u be o(2). Let h = u + -173. What is the least common multiple of h and 24?
72
Let i(m) = -16*m**3 - 14*m**2 - 6*m - 18. Calculate the lowest common multiple of 204 and i(-3).
612
Let p = -12027/70915 - -2/5455. Find the common denominator of p and 92/645.
8385
Let k = 101573/15 - 6767. Find the common denominator of k and 14/36*(-5)/((-150)/(-99)).
60
Find the common denominator of -91/74 and 5 + (-20)/((-79920)/(-19761)).
1332
Let s = -8735 + 9164. What is the smallest common multiple of s and 1287?
1287
Suppose -4*i = 5*w + 17, w - 2 = -4*i + 1. Let g(v) = -272*v - 2713. What is the least common multiple of g(-10) and i?
14
Suppose 22*b + 1568 = 36*b. What is the smallest common multiple of 15/10*840/9 and b?
560
Let h = 51 + -102. Let w = -43 - h. Suppose 0 = -x + 4*k - 7, 2 - 5 = x - 3*k. Calculate the lowest common multiple of x and w.
72
Suppose 3*q - 4*q + 63 = 0. Calculate the least common multiple of -12*-7*7/28 and q.
63
Let x = 5860513/226122952 - 1/3245784. Find the common denominator of x and 9/95.
12540
Suppose -17*c = 11*c - 14*c - 882. What is the least common multiple of c and 24?
504
What is the common denominator of (8/(-12))/((-15)/((-2520)/176)) and 4/((-96)/99)*3?
88
Let x = -332111430957/29606786 + 24/1345763. Let y = x + 11221. Calculate the common denominator of y and (756/(-8) - -2)*(-2)/50.
110
Suppose 6*n + 37 = -83. Let c be ((-50)/n)/(-2*(-1)/4). Suppose c*l - 59 = -9. What is the least common multiple of l and 10?
10
Let o be (154/(-4))/((-4)/16). Suppose 376 = 6*t + o. Suppose -8*j = -27 - t. What is the smallest common multiple of 52 and j?
104
Let w = -1961 - -1962. Let f(x) = -152*x. Let q be f(-1). Find the common denominator of -61/6 and (q/(-36))/(57/(-45) + w).
6
Let l = -15420025/144 - -107084. Find the common denominator of l and -97/1168.
10512
Let p = 1/366 + 1543/4575. Find the common denominator of p and 89/400.
400
Let j(p) = 8*p + 6 + 16 - 1 - p**2. Let g be j(10). Calculate the smallest common multiple of ((-1)/(0 + g))/(-1) and 13.
13
Suppose 2*u + 8*u = 184 - 634. Let j = -53631/9620 + 12/481. Calculate the common denominator of j and u.
20
Let i(f) = -25*f**3 + 3*f**2 - 4*f + 6. Let d be i(3). What is the common denominator of (-10)/12*(-508)/40 and (d/15)/(48/(-20))?
12
Let x(m) be the first derivative of -3*m**2/2 - 14*m + 5. Suppose -696 = -29*l + 290. What is the least common multiple of l and x(-7)?
238
Let k = -30972/71 - -1209457/1136. Let j = k - 626. What is the common denominator of j and -113/234?
1872
Let a = 101 + -21. What is the common denominator of 81/56 and (21/(-6) + 3)/(a/(-15))?
224
Find the common denominator of -10 + 56360/5664 - 1*1/(-8) and -13/2.
1416
Suppose 0 = 3*o - 0 - 6. Let t be 9/(-6) - (-85)/(-20)*-2. Suppose -o*z = c - 13, -t = c - 4*c + 2*z. What is the smallest common multiple of 5 and c?
5
Let h = -402422/417105 - -360/403. Calculate the common denominator of h and -37/3450.
10350
Calculate the common denominator of -125/144 and -11 + 1 + 968955/98280.
1008
Let v(i) = 2*i**2 - 5*i - 39. Let s be v(6). Calculate the least common multiple of 69 and s*(3 - (3 + -1)).
69
Suppose 46*i + 9*i - 2255 = 0. Let j(f) = -f**3 + 14*f**2 + 15*f + 8. What is the lowest common multiple of i and j(15)?
328
Let l(s) = -16*s**2 + 27*s - 98. Let z be l(16). Find the common denominator of (-4636)/z*2/4 and -107/24.
792
Let m(q) = 20*q + 18. Let r be m(11). Calculate the common denominator of (-2414)/r*(-1 + 10/24) and -61/12.
12
Let j be 0/(6/2 - 6). Suppose 156 - 31 = 5*t - 4*n, j = -n + 5. Let o = 55 - t. Calculate the least common multiple of 16 and o.
208
Suppose -3*m - 3 + 21 = 0. Let b(t) = t**2 + 8*t - 763. What is the least common multiple of m and b(-32)?
30
Let h(f) = -f**3 - 43*f**2 - 197*f + 186. Calculate the least common multiple of h(-38) and 2.
452
Let l be 2/(-4) - 125/2. Suppose -2*f + 467 = 475, 2*f = 2*p. What is the lowest common multiple of p/((-3)/(-1) - (-198)/l) and 2?
28
Let n = 17193/10 + -1727. Suppose -3*o + 2054 = -5*o - a, -o - 4*a - 1020 = 0. Let h = -6205/6 - o. Calculate the common denominator of n and h.
30
What is the common denominator of 10*1*1/(-3) and 4/30 + 2*(-154)/35?
3
Let h = -4427/9060 + 182/151. Calculate the common denominator of 137/1146 and h.
11460
Let v = 19269/1685 - 12/337. Let z = 8656027/752216 + -3/188054. Let i = z + -168/17. What is the common denominator of i and v?
40
Suppose 2*k = -2*z - 3*k - 20, 2*k = 3*z + 11. What is the common denominator of ((-183)/162)/((-2)/6) and (1420/(-88))/z + 1 + -1?
198
Suppose -3*q = 5*z - 38, 0 = 4*z + 58*q - 63*q - 60. Calculate the least common multiple of 4477 and z.
44770
Suppose 5*c + 4*b - 4620 = 0, 7*c - 14*c - b + 6468 = 0. Calculate the smallest common multiple of 140 and c.
4620
Let j = 2668784/3381 - 2368/3. Find the common denominator of -43/92 and j.
4508
Let n be 109 + (-3)/(2/(-2)). What is the smallest common multiple of (16 - -2)/((-24)/(-36)) and n/21*9/2?
216
Suppose s - 10 = -2*i, -4*i - 3*s = -12 - 12. Let g be 2 + -1 - (3 - i - -3). Find the common denominator of (-591)/180 - 2*g/(-16) and -25/3.
15
Let x = 2/139 + 6529/278. Let l = 2 + -6. Calculate the common denominator of x and (0 - -1)*94/l.
2
Let a(o) = -134*o - 49. Let s be a(-2). Let u = s + -2477/12. Find the common denominator of u and 99/10.
60
Let a be ((-15)/(-12))/((-11)/(-44)). Suppose -8 = a*x + 2*c - 58, -4*c - 30 = -3*x. Calculate the lowest common multiple of 335 and x.
670
Suppose -h + 2*j = -91, 2152*j - 2155*j = -2*h + 195. Let y = 151 + -8. What is the lowest common multiple of y and h?
1287
Let h be (1 + -5)*(-9)/((-180)/70). Find the common denominator of 107/20 and ((-142)/h)/(108/21).
180
Suppose 0 = l - x - 6, -3*x - 11*x = 3*l - 52. Let m(p) = 5*p**2 + 2*p + 1. Calculate the smallest common multiple of m(-1) and l.
8
Suppose -318 = -2*c - 58. What is the lowest common multiple of 4 and c?
260
Find the common denominator of 68/327 and ((-1)/(1 - 0))/(-11)*5194/(-318).
3597
Suppose 4*j = 2*q - 260, 0 = -3*j + 3*q + q - 195. What is the least common multiple of (-2 + -1 - -5)/((-2)/j) and 55?
715
Suppose 167 = 4*c + 11*l, -3*c + 105*l + 147 = 106*l. Calculate the least common multiple of 2 and c.
50
Let y(k) = k**3 - 46*k**2 + 52*k - 83. Let j be y(45). Let i = -199 + j. What is the lowest common multiple of i and 33?
33
Let m be ((-462)/(-623))/(-11)*2/3. Let j = 947/712 - m. What is the common denominator of -179/30 and j?
120
Let r = -25 - -29. What is the least common multiple of r and (52/78)/(2/24)?
8
Let q(w) = w**2 + 10*w + 16. Let c be q(-8). Suppose c = 7*s - 2*s - 15. Suppose -19 = -s*r + 2*r. What is the common denominator of r and -26?
1
Suppose -5*o - 107*c + 102*c = -425, 5*o + 3*c = 423. What is the smallest common multiple of 196 and o?
588
Suppose -3*y + 18 = -36. Let a(v) = 4*v - 23. Suppose -4*w = -4*d + 20, 0*d + d - 20 = -4*w. Calculate the least common multiple of a(d) and y.
18
Suppose -326 = 2*p + 154. What is the common denominator of (-15)/(-12) - 78/p and 151/30?
120
Let l = -444318 - -860644009/1937. What is the comm