5 + (-54)/(-44) and -11/10.
110
Let m be 1*34672/(-231) + 4/42. Calculate the common denominator of ((-34)/170)/(81/m) and 181/21 - (-4)/(-14).
27
Let m be 30*(-12)/54*12. Calculate the common denominator of 2/7 - 523/42 and (56/(-84))/(m/(-594)).
60
Let g(q) be the second derivative of q**5/20 - 3*q**4/4 + 7*q**3/6 + 2*q**2 + 15*q. Let b be g(8). Find the common denominator of -5/9 and (-141)/(-20)*b/6.
90
Suppose u + 2 = 4. What is the least common multiple of (-7 + (-27)/(-9) + -398)/(-6) and u?
134
Let j(i) = i**3 + 12*i**2 - 13*i - 15. Let b be j(-11). Calculate the common denominator of ((-12)/16)/(b/178) and -65/4.
332
Let c = -233829/22 - -10627. Find the common denominator of 107/154 and c.
154
Suppose -67*h + 85*h - 216 = 0. What is the lowest common multiple of 760 and h?
2280
Calculate the common denominator of -47/40 and ((-34)/340)/(-4 + 940/236).
40
Let v be ((-21)/24 + 18/48)*1198. Calculate the common denominator of 83/36 and 9 + -16 - v/72.
72
Let j(k) = -k**3 - 102*k**2 + 311*k + 13. What is the lowest common multiple of 1994 and j(3)?
1994
Let o = 5649/14755 - -2/1135. Suppose -55*j - 6 = -53*j. Calculate the common denominator of j*(3 - 12/28) and o.
91
Let m(c) = -c**3 + 59*c**2 - 429*c - 117. Calculate the smallest common multiple of m(38) and 3.
13905
Suppose 4*v - 18 = -t - 6, 4*t - 8 = 4*v. Calculate the common denominator of -87/242 and -5 - 10904/(-2112) - v/(-12).
968
Let t(w) = 4*w + 6. Let o(u) = 5*u + 5. Let l(c) = 5*o(c) - 6*t(c). Calculate the smallest common multiple of l(21) and 34.
170
Let m(h) = 356*h + 10876. Calculate the least common multiple of m(-29) and 1656.
1656
Suppose -4*d = -2*d - 5*a + 2821, d + 1428 = -a. Let f = 79521/40 + -4469/8. Let p = f + d. Calculate the common denominator of p and 1/6.
30
Let x = 20593 - 20573. Calculate the lowest common multiple of 1092 and x.
5460
Let d(n) = 12*n - 22*n**3 - 10 - 20*n**3 + 41*n**3 + 9*n**2. Let x = 6 + 6. What is the smallest common multiple of x and d(10)?
60
What is the lowest common multiple of 8 and (((-3213)/42)/9)/((-1)/12)?
408
What is the common denominator of 71/3920 and (-212142)/535080 + 16/52?
3920
Suppose 4*m = -f + 2148, -f + 228*m + 2138 = 230*m. What is the lowest common multiple of f and 171?
19152
Let a(h) = -h**3 - 24*h**2 - 22*h + 27. Let f(i) = -i**3 + 17*i**2 + 3*i - 74. Let r be f(17). What is the smallest common multiple of a(r) and 36?
36
Let g(x) = -x**2 + 12. Let b be g(0). Suppose -2*j - 4*n = 28, -3*j + 4*j = -n - b. Calculate the smallest common multiple of 16 and (-112)/(-2) - (j - -14).
208
Let v = -262229/3094 + 1451/17. Find the common denominator of (-2)/20*4 - 1047/(-30) and v.
182
Suppose 3*q - 2*z - 11 = 209, -2*z + 356 = 5*q. What is the least common multiple of q and 168?
504
Let s = -262 + 286. What is the common denominator of -33/70 and (-220)/784 + 18/s?
490
Let h(q) = 20*q**2 - 4*q + 11. Let j be h(-6). Let z(v) = v**3 + 14*v**2 - v - 12. Let f be z(-14). Find the common denominator of 0 - (f/12 + j/1500) and 5/14.
700
What is the common denominator of (0 + (-3)/(-2) + 31)*(-26)/(-39) and -45/107?
321
Suppose -b + 9 = -4*s - 3, 2*s = -2*b - 16. Let y = -7/74 - 1088/37. What is the common denominator of y and s/(-20) + (-403)/90?
18
Let y(p) = 20*p**3 - 31*p + 123. What is the smallest common multiple of 28 and y(5)?
17276
Let v be 303/(6/24*12). Suppose -3*i - v = 4*s - 7, 3*s = -5*i - 142. What is the common denominator of -5/39 and i?
39
Let h = 285875 + -274439933/960. Find the common denominator of -37/720 and h.
2880
Let p = 33 - 32. Suppose -2*n - p = -0*a - a, -4 = 3*n + a. What is the common denominator of 23/5 and (-530)/145 + (1 + 1 - n)?
145
What is the common denominator of ((-2)/(-4) - 420/1176) + (-127)/(-42) and -61/698?
2094
Let l be (3093/379570)/(-3 - (-84210)/28091). Let t = 3/37957 + l. Calculate the common denominator of -67/14 and t.
210
Let a(q) = q**2 - 6*q + 4. Let k be a(7). What is the least common multiple of ((-3)/5)/(7*k/(-770)) and 21?
42
Find the common denominator of 21/(-18)*(-55)/6468*-38 and -117/28.
252
Calculate the common denominator of -2 + 12/8 - (-20175)/37740 and -71/748.
27676
Calculate the smallest common multiple of 36 and (52/(-6))/(6 - ((-5364)/(-2673) - -4)).
5148
Suppose -w - 3*v + 717 = 267, 3*v = -2*w + 894. Let t = -434 + w. Calculate the lowest common multiple of t and 8.
40
Suppose 538 = 2*w - 37*s + 38*s, -3*s - 514 = -2*w. What is the smallest common multiple of w and 112?
2128
Let k(s) = s**2 - 8*s - 123. Calculate the lowest common multiple of k(-8) and -1*1/((-1)/10).
10
Let n be (-20)/190 + (-7908)/(-38). Find the common denominator of -11/75 and (-506)/216 + 156/n.
675
Let o(k) = 3*k**3 + 76*k**2 - 40*k + 318. Calculate the least common multiple of 8549 and o(-26).
51294
Let s be 4*5/120 + 2314/12. Suppose 0 = -11*f - 39 + s. Calculate the lowest common multiple of 14 and f.
14
Let b be 0 - -4 - -18*12/(-36). Let u = 19 - -35. What is the least common multiple of b*(36/(-20) - (-8)/10) and u?
54
Suppose 127 = 13*z + 88. Calculate the lowest common multiple of 3453/6 - (-3)/(-6) and z.
1725
Let b be ((-8)/10)/(93/15 + -6). Let o = -659/399 + -2/133. Calculate the common denominator of o and 768/70 - b/(-7).
15
Let t be 389 + (-1 + 37)/6. Suppose t = -3*d + 302. What is the common denominator of 17/10 and d?
10
What is the common denominator of 120/810*78/98 and 58/2835?
19845
Let a = -7867681113423/13651 + 576344672. Let m = 2/803 - a. Calculate the common denominator of (-711)/81 + (-2)/(-6) and m.
153
Let w(i) = -2*i**2 + 14*i + 11. Let j be w(9). Suppose 7*l = 4*l + 48. Calculate the lowest common multiple of l and 20/6*(-45)/j.
48
Suppose -3*p + 2 = -2*p. Suppose 2*w - 21 = -3*y + 12, p*w - 5*y + 7 = 0. Let l(z) = z**2 - 104*z + 503. What is the smallest common multiple of l(5) and w?
72
Let g(u) = -3*u**2 - 17*u - 143. Let j be g(-14). Let p = -474 - j. What is the lowest common multiple of 7 and p?
133
Let j be ((-2)/(-6))/(15/135). Let q be (-1564)/(j - 25/9). Let v = q - -70463/10. What is the common denominator of -55/13 and v?
130
Let n = -6820515487/2504 - -2723848. What is the common denominator of n and 77/6?
7512
Let g(h) = h**3 + 9*h**2 - 10*h + 2. Let q be g(-10). Suppose 5*n + 14 = -4*d + 6, q*n - d = -11. Find the common denominator of 69/20 and n + -106*1/8.
20
Let o = 27/476 - -1352549/4284. Let x = o - 1859/6. Find the common denominator of x and 113/(1/(-4) + (-1183)/(-28)).
126
Let x be (-31759)/(-11046)*237/(-2). Let v = x - 406/263. Let c = -324 - v. Calculate the common denominator of c and -81/4.
4
Suppose t + 23*t - 13*t = 2002. What is the least common multiple of t and 182?
182
What is the common denominator of 127/730 and 2 - ((7623/14)/(-11) + 6)?
730
Let l = 2/76211 - 2896376/13641769. What is the common denominator of 79/2 and l?
358
Let v = 5525738 + -51422517911/9306. What is the common denominator of v and -39/10?
46530
Suppose 38*d - 39*d = -4*m - 720, 5*d - m = 3581. Calculate the smallest common multiple of d and 28.
5012
Let u = -587 - -465. Calculate the smallest common multiple of 48 and (-5 + -1)/(u/183).
144
Let q(a) = 8*a. Let i(u) = 2*u + 85. Let h be i(-22). Suppose h*g + 19 = 675. Calculate the lowest common multiple of g and q(4).
32
Suppose h + h - 44 = -4*q, 0 = -q + 1. Suppose -23*x + h = -18*x. Find the common denominator of 142*(x - 45/12) and -53/2.
2
Suppose 0 = 2*o - 5*q - 11, 5*o - 2*q - 3 = -7. Let v = 11 + -3. What is the least common multiple of (o/4 - 1/2) + 9 and v?
8
Suppose -4*f + 5*b - 36962 = 0, -4*b - 8123 = 2*f + 10345. Let w = 18115720/1961 + f. Let j = 260825/11766 - w. What is the common denominator of 7 and j?
6
Suppose 112*q = 128*q - 160. Suppose -u + 4*u = 6. Suppose -3*o = -u*r + 35, -3*o = 3*r - 24 + 9. What is the lowest common multiple of r and q?
10
Let u be (-1044)/(-117) + 2 - (1 - -4). Let z = u - 739/26. Find the common denominator of 37 and z.
2
Let r = -158357/20 - -7924. Find the common denominator of (-24)/84 + 30/(-4) and r.
140
Let h = 5715/1774 - 44675911/17740. Let i = 2518 + h. Calculate the common denominator of i and 73/9.
180
What is the common denominator of -71/370 and 14 + 23/(13616/(-8382))?
1480
Let s = 47 + -95. Let i be s/(-9)*189/(-28).