 -9*j(x) + 4*t(x). Let g = -248 - -245. Calculate the least common multiple of 7 and n(g).
63
Let x = 2 - 41. Let l = x - -41. Calculate the common denominator of 21 and -2 - l*(-87)/(-24).
4
Let o = 999897591/671522513 + 8/267859. Let c = o + -45/218. Find the common denominator of c and -17/4.
92
Let x(t) = 2*t. Suppose k = -k - 14. Let v be x(k). Let y(r) = -r**3 - 15*r**2 - 14*r + 20. Calculate the lowest common multiple of y(v) and 10.
20
What is the common denominator of 53/1020 and (-12655)/(-3570) + 220/(-66)?
7140
Find the common denominator of 47/252 and (726/945)/2 + (-14)/21.
1260
Calculate the common denominator of (-2)/(-9) + (156/702 - (-482)/(-990)) and 50/9.
495
Suppose 41*x - 35*x = 1350. Let g = -13885/8 - -1732. Find the common denominator of (-1461)/270 - 50/x and g.
120
Suppose -y - 2*q - 8 = 0, -4*y + 2*y + 5*q + 2 = 0. Let h(k) = 2*k**2 - 12*k + 7. What is the smallest common multiple of 12 and h(y)?
348
Find the common denominator of -12 - (456/(-76) + (2015/(-6))/13) and (-77)/30 - (1 - 1).
30
Let a = 22 + -16. Let u = -127 - -127. Suppose u = 2*m + 11 - 19. Calculate the least common multiple of m and a.
12
Suppose -15*s + 3*d + 730 = -17*s, -1787 = 5*s - 2*d. Let k = s + 371. What is the lowest common multiple of 434 and k?
2604
Find the common denominator of 812/480 - 5*(-2)/(-10) and -41/30.
120
Let n(h) = -6*h. Suppose -462*t = -459*t - 1392. Let x = t - 455. What is the least common multiple of n(-1) and x?
18
Calculate the lowest common multiple of (-110)/(16/128*-20) and 209.
836
Let t(r) = 4*r - 18. Let a be t(5). Suppose a*q - 80 = 222. What is the common denominator of -15/22 and ((-2)/(-12))/(1 + (-150)/q)?
66
Let a = 7 - 5. Suppose 0 = a*m - 36 + 8. Let g(c) = 2*c**2 + 331*c - 654. Calculate the lowest common multiple of g(2) and m.
112
Let n(t) = 17*t**2 - 14*t - 60. Calculate the smallest common multiple of n(-8) and 76.
1140
Let n(k) = k**2 + 15*k - 4. Let y be n(-15). Let o be 15/(-2)*(252/(-27) + 4). What is the least common multiple of 8 and (o/y)/(-5) - 1?
8
Let r = 130 - 128. What is the lowest common multiple of 6 and r*(-7 - -6 - -5)?
24
Let c = 3142 + -2422. Calculate the lowest common multiple of c and 1560.
9360
Calculate the common denominator of -44/5 and (2/(-22))/((-5140)/(-590) - 9).
935
Calculate the common denominator of 87/164 and (15/54)/(2091/(-1275)).
1476
Suppose -5*g = -4*d - 71, -4*g - 5*d + 4*d + 40 = 0. Suppose 2*q - 5*x = 16 + 85, -4*x + 302 = 5*q. Calculate the lowest common multiple of q and g.
638
Let p(s) = 28*s + 422. Let r be p(-16). Suppose -3*c = 2*c + q + 2, -2*c = -2*q + 8. What is the common denominator of -74/33 and ((-2)/(-9))/(29/r - c)?
297
Suppose 0*g = 2*g - 2. Let z be g - 1 - (14836/16 - 2). Let w = -931 - z. Calculate the common denominator of w and -41/8.
8
Suppose s - 127 = -5*s + 1649. What is the lowest common multiple of s and 20?
1480
Let a = 461/5 + -1237/10. What is the common denominator of (2317/(-56) - -17 - -12) + 1 and a?
8
Let s be (2 - 1)/((-10)/(-10)). Suppose s = 3*r - 5. Let c(g) = g**2 - 50*g + 198. Calculate the smallest common multiple of r and c(46).
14
Let m(i) = -i**3 - i**2 - 3*i + 56. Let a be m(0). What is the least common multiple of a/3 + (-6)/9 and 18?
18
Let s(w) = w**3 + 3*w**2 - 22*w + 36. Let d be s(-9). What is the common denominator of 97/234 and 44/(-154) + 1678/d?
234
Let p(l) = l**3 - 42*l**2 + 234*l + 81. What is the least common multiple of 2 and p(39)?
4644
Suppose -5*u - 9*g + 683 = -6*g, g + 4 = 0. Let n = u + -693/5. Calculate the common denominator of -19/215 and n.
215
Let v = 743 - 2957/4. Calculate the common denominator of v and (119/(-2))/(17 - 7).
20
Let r = 160 + -72. Let b(c) = 2*c**3 - 39*c**2 + 61*c - 106. Calculate the lowest common multiple of r and b(18).
440
Let g be 112/(-16) - (-957)/147. Let v = g - 687/98. Let f = 1192 - 4685/4. What is the common denominator of f and v?
4
Let p = 157 - 99. Find the common denominator of (p + 1)/((-114)/19) and -13/24.
24
Suppose -3*h - 56 = -u, -18*h = -6*u - 22*h + 160. Suppose 4*x + 4*c = 2*x + 6, -3*x - 4*c + 7 = 0. Calculate the least common multiple of x and u.
32
What is the smallest common multiple of 6*(-18)/72*-66 and 4400/35 - (-2)/7?
1386
Suppose 14*v - 19*v = 2*j + 84, -j - 69 = 4*v. What is the common denominator of -21/20 and -4 - (v/(-45) + (-8797)/1980)?
1980
Let n be 2 - (-7)/(-1) - -2 - -10. Suppose n*u = -11*u + 218592. Let v = u - 291415/24. What is the common denominator of 70/27 and v?
216
Let r be (-1)/(-3) + 14/(-6). Let g be -3 + (r - (-4)/(-4)). Let v(o) = o**2 + 4*o + 5. What is the lowest common multiple of v(g) and 5?
85
What is the common denominator of (7 + (-9)/((-28917)/(-25173)))/4 and -121/30?
3570
What is the common denominator of (-85059)/76855 + 94/893 - (-4 + 3) and 32/11?
44495
Let p = -935/18 - -437/9. Let v = 25 + -47. What is the common denominator of p and (-1 - 0) + v/(-64)?
288
Let w = -571 + 772. Let m = w - 183. Suppose -2*t + 0*t + 11 = 5*v, 2*t - 21 = -3*v. Calculate the smallest common multiple of m and t.
18
Suppose 6 = 4*q - 3*q. Let a be (2/q)/(7/21). Suppose -2*n = t - 24, 51 = 4*n + t + a. Calculate the least common multiple of 9 and n.
117
Suppose -4*p + 4 = 0, 2*l + 3*p - 6 = 5. Suppose 4*d - 13 = -3*u, -d + l*d = -5*u + 18. Let b(c) = 4*c + 6. Calculate the least common multiple of u and b(0).
6
Let z be ((-12)/3)/(6/3). Calculate the common denominator of z/8 - 1555/(-180) and 3*556/(-312) + 4.
234
Let o = 636962/8298207 - -2/34149. Find the common denominator of -149/162 and o.
1458
Suppose -236 - 142 = 2*p. Calculate the lowest common multiple of ((p/(-9))/7)/(6/112) and 10.
280
Calculate the smallest common multiple of (-243)/6*(8/(-3))/4 and 156.
1404
Let f(q) = 1 - 3*q**2 - q**3 + 2*q**3 - 7*q**3 + 7*q + 7*q**3. What is the least common multiple of f(3) and 48?
528
Suppose -3*s + 212 = 218, 2*s = -3*i + 2048. What is the lowest common multiple of i and 2280?
6840
Suppose -19*u + 2480 = -1624. Calculate the lowest common multiple of u and 144.
432
Let i be ((-24)/70)/(9/(-63))*-45. Calculate the smallest common multiple of 5 - (-3)/(i/(-8))*-9 and 5.
15
Suppose 28*u = 21*u - 35. Find the common denominator of -7/66 and ((-152)/5 - u)/6.
330
Let d = 60 - -27. What is the common denominator of (2345/470 + -5)*d and 71/2?
94
What is the common denominator of (20/(-2825))/(754/741 + 4/(-3)) and 38/1695?
1695
Let b(f) = f**3 + 9*f**2 - 11*f - 13. Let h be b(-10). Let o be (-12)/h - (-637276)/(-64). Let w = 9949 + o. Find the common denominator of 113/6 and w.
48
Find the common denominator of 11/8 and -20 + (-816)/(-40) + (-552)/1605.
856
Let i be (-1 - 10832/(-1480))/(12/10). Let t = 90/37 - i. Calculate the common denominator of 32/3 and t.
6
Suppose -13*s + 41*s + 84 = 0. What is the common denominator of (6*s/(-90))/(14/144) and 17/90?
630
Let j(a) = 13*a - 106. Let m be j(7). Calculate the common denominator of 106/(-636) + 1/(m/86) and 18/349.
3490
Let r = -4175132809/4204800 - -1/467200. Suppose -905 - 89 = c. Let i = r - c. Calculate the common denominator of -37/22 and i.
198
Suppose 0 = 702*i - 896*i + 136576. Calculate the lowest common multiple of 128 and i.
1408
Find the common denominator of (0 + -1)/(15/1 + (-26593)/3406) and 46/11.
187
Let l = 40/8729 + -283187/56083825. Let f = 263833/873800 + l. Calculate the common denominator of f and -41/170.
680
Calculate the common denominator of 5/118 and (-18564)/351*6/944.
354
Let q = 946 + -942. Suppose -2*m = -4, 2*p + 0*p - 112 = -2*m. Suppose -q*x + p = -x. Calculate the smallest common multiple of 12 and x.
36
Let k = 1 + 8. Suppose 0 = -k*o - 5 + 14. Calculate the smallest common multiple of 12 and (o - (-60)/(-3))*-2.
228
Suppose 0 = 571*q + 580*q + 55248. Calculate the common denominator of q and -1*((12 - -1) + 1).
1
Let z(p) = p + 7. Let n be z(-2). Let l be 2911/n - 1/2. Let s = -584 + l. Calculate the common denominator of -93/10 and s.
10
Let c = 4114 + -3430. Calculate the smallest common multiple of 836 and c.
7524
Let a = -155 + 179. Let s(t) = -16*t + 72. Calculate the least common multiple of a and s(-4).
408
Let i = -80 + 30. Let x = -47 - i. Suppose 30 = 5*o + 5*q + 10, -5*q = -2*o - 13. What is the lowest common mult