(-4)/22 + 4316/143. Suppose -86 + x = -8*c. Suppose n + c = -5*v, -3*n - 8 = -v - 35. Calculate the least common multiple of n and 5.
40
Let q(y) = -4*y**2 - y - 8. Let o be q(7). Calculate the common denominator of -151/6 and 3/(-9) + o/(-192).
192
Let b(j) = -255*j**2 - 1. Let g be b(1). Let k = 2308/9 + g. Find the common denominator of -7 and k.
9
Let q(a) be the second derivative of a**4/4 - a**3 + 7*a**2/2 - a. Let f be q(4). Suppose f - 119 = -4*k. Calculate the lowest common multiple of k and 18.
198
Let o = 0 - -2. What is the least common multiple of (o/(-2))/(-1)*3 and 11?
33
Let r = 2/155 + 2003/930. Let u = -17079/8 + 2132. Calculate the common denominator of r and u.
24
What is the smallest common multiple of 540 + (-1 - 1) - 4 and 5?
2670
Suppose -h = -2*o + 5, 19 = 5*h - o - 1. Suppose 0 = 3*c - 6*c + 2*w + 2, 5*c - 2*w - 10 = 0. Calculate the lowest common multiple of c and h.
20
What is the common denominator of (97/5)/(128/20) and (-86)/(-21)*6/(-4)?
224
Let q = -1351382/10869 + 1/3623. Let j = q + 121. What is the common denominator of 73/15 and j?
15
Let o be (-1)/1 + 3458/361. Let c = o - -2/95. Calculate the common denominator of c and -11.
5
Let t = 264 - 243. Suppose -18 = -3*p + 18. What is the smallest common multiple of t and p?
84
Let u = -1078 - -11656/11. Let f = -287/33 - u. Find the common denominator of f and -155/42.
42
Find the common denominator of (13*(-2)/28)/1 and 33.
14
Suppose 4*u = 4*d - 2*d - 22, 5*u + 21 = -4*d. Let c be (-1)/(14/(-49) - (-3)/35). Suppose -7*v + 16 + c = 0. What is the lowest common multiple of v and d?
3
Let y = 11750 - 82388/7. Let o = -779/42 - y. What is the common denominator of o and (-4)/(-18) - (-2164)/144?
12
Let f(a) = -a + 32. Let d be f(0). Find the common denominator of 6/(-10)*d/6 and (-12)/1*(-18)/(-408).
85
Suppose 1899 - 9079 = -4*k. Let p = 25227/14 - k. Calculate the common denominator of p and 83/34.
238
Let r = -56 - -80. Let f(s) = 65*s + 2. Let y be f(0). Suppose -2*j - y*j = -r. Calculate the lowest common multiple of 20 and j.
60
What is the common denominator of -11 - -9 - (279/118)/(-1) and -38/3?
354
Find the common denominator of -93/140 and 6519/1484 + 3/((-18)/15).
140
Let c(x) = -x**3 + 11*x**2 - 10*x + 2. Let d(r) = -r**3 + 3*r**2 + 9*r + 5. Let b be d(5). Let v = b + 10. What is the smallest common multiple of 6 and c(v)?
6
Let r = 308153/4 + -76230. Let b = -788 + r. Calculate the common denominator of -51/7 and b.
28
Let a be 35/(-165) + (-3)/(-21). Let f = a + 10189/3696. Find the common denominator of f and -85/44.
176
Let v = -101659/12 - -8461. Calculate the common denominator of -53/88 and v.
264
What is the common denominator of -125/12 and ((-19)/3)/(1264/(-36))?
948
Let i(d) = -4*d - 34. Let c be i(-24). Let v = 84 - c. What is the lowest common multiple of 20 and v?
220
What is the smallest common multiple of (-70)/40*-4 + -6 and 481?
481
Let y = -489 + 642. Calculate the least common multiple of 30 and y.
1530
Let m = 2/353 - 31433/2824. Calculate the common denominator of 45/(-36)*156/(-50) and m.
40
Suppose 40*c - 125*c + 7310 = 0. What is the lowest common multiple of 8 and c?
344
Let d be 3/168*(-106712)/(-10). Let p = -1266/7 + d. Calculate the common denominator of p and -33/7.
70
Let g = 837/1666 - 211027/16660. Let s = g + -33/140. Calculate the common denominator of s and -37/29.
145
Suppose 6*v - 7*v + 5 = 0. Let m = v - 6. What is the common denominator of (0 - m)/((-14)/79) and 15/8?
56
Suppose -5*q + 9 + 11 = 0. Let m(s) = s**3 + s**2 - s - 1. What is the smallest common multiple of m(3) and q?
32
Let i = -17911/1122 + -38/187. Find the common denominator of i and 2293/306 + 504/4284.
18
Let f(s) = -s**3 + 7*s**2 + 6*s + 12. Let z be (-10 + 4)/((-6)/8). Let l be f(z). Calculate the common denominator of 67/20 and (-36)/(-30)*19/l.
20
Let c = 1/2995 + 224617/23960. Let h = 2/103 + 295/721. Calculate the common denominator of h and c.
56
Suppose -21 = -2*f + 45. Suppose 104*j = -86*j + 203*j - 429. What is the smallest common multiple of j and f?
33
Let o = -2 - -11. Let l(t) = -t**2 + 18*t - 15. Calculate the smallest common multiple of l(o) and 20.
660
Suppose -2*y - 2*x + 5*x + 4 = 0, -5*y + 31 = 3*x. Let j(u) = 2*u**3 - 53*u**2 + 199*u - 13. What is the lowest common multiple of j(22) and y?
45
Let v(c) = -c**3 + 20*c**2 - 19*c + 10. Suppose -10 + 86 = 4*m. What is the lowest common multiple of v(m) and 15?
30
Let i = -1655 + 1664. Calculate the smallest common multiple of (-2)/(-4) + 35/2 and i.
18
Calculate the common denominator of (-66)/(-88)*(-2)/(-6)*-61 and (-10)/45 - (-314)/(-18).
12
Let l be 12/4 - (-11577 + -3). Let t = l - 208621/18. Find the common denominator of t and 49/4.
36
Let k be 0/(-2)*1/2. Calculate the smallest common multiple of (-532)/8778 + 167/33 and (4 + 1)*(k + 2).
10
Calculate the common denominator of (-99)/22 + (2 - (3 + 0)) and -3/2.
2
Suppose 2*o - 42 = -2*a, 16 = -o + 2*o - 4*a. Suppose 2*j - 15 = 61. Calculate the smallest common multiple of j and o.
380
Let p = 1102 + -33121/30. Let i = -226039/24 - -9416. Find the common denominator of p and i.
120
Let o = 337 + -3693/11. Calculate the common denominator of o and 20/7 - (2 + 5/(-2)).
154
Let k(a) = a**2 - 10*a + 21. Let m be (2/(-6))/((-2)/54). What is the least common multiple of 22 and k(m)?
132
Let y = 74 - 72. Suppose 0*h + 2*h = -y*n + 56, -52 = -2*n - 3*h. What is the lowest common multiple of 11 and n?
352
Suppose -619 - 2289 = -2*n. Let x = n - 8875/6. Find the common denominator of 38 and x.
6
Suppose -4*h = -9*h - 20. What is the common denominator of -83/4 and h/(-1)*2*15/(-100)?
20
Let i = -235/14 + 340/21. What is the common denominator of i and 157/84?
84
Suppose 198 = 3*y + 78. Let w(c) = -32*c - 1. Let h be w(2). Find the common denominator of (-374)/(-40) - 26/h and y.
4
Let a = 2499/5 - 507. Let s = 7113 - 4828. Let n = s - 22937/10. What is the common denominator of n and a?
10
Suppose -y + 3*q + 16 = 0, 0 = y - 3*y + 4*q + 26. Calculate the lowest common multiple of 42 and y.
42
Let k = 36 - 34. Suppose -p + 0 + 5 = 0, -4*i + 34 = -k*p. What is the lowest common multiple of i and 11?
11
Suppose 103*w - 85*w = 198. Suppose 0 = -3*c + 4*k + 112, -c + 5*k + 44 = -8. Suppose 2*j = -2*j + c. Calculate the lowest common multiple of w and j.
88
Find the common denominator of (-86)/(-6)*(-78)/910 and 87/4.
140
Let d(a) = 8*a - 6*a + 3*a + 6*a + 1. Let y be d(4). Calculate the common denominator of -95/8 and 123/y*3 - -3.
40
Let q(l) = -l**3 + 4*l**2 + 3. Let z be q(4). Suppose -z*w + 2 = -4. Calculate the least common multiple of 42/10 + (-6)/30 and w.
4
Let k = -18 - -54. Calculate the least common multiple of (-56)/((-20)/5) + 4 and k.
36
Suppose 0*c - 104 = -c. Calculate the lowest common multiple of c and 2.
104
Suppose -21*r + 26*r - 31820 = 0. Let a = r - 1188. What is the common denominator of -25/14 and a/1232 + 3/(-7)?
154
Suppose 0 = -2*l + 7*l - 100. Let y(w) = w - w - 6 - 2*w + 5*w. What is the lowest common multiple of y(8) and l?
180
Suppose 0 = -2*i + 6*a + 182, -2*i - 301 = -5*i + 2*a. What is the smallest common multiple of 4 and i?
412
Let k(r) = 2*r**2 + 43*r - 63. What is the smallest common multiple of k(-25) and 20?
560
Let f = -314/33 + 11848/1155. Let i = 4541/6160 - f. Let m = i + 2687/528. Find the common denominator of 125/12 and m.
12
Suppose 0 = -f - 2*f - 5*v + 207, 49 = f - 5*v. Calculate the least common multiple of 80 and f.
320
Suppose -3 = -5*d + 12. Calculate the smallest common multiple of d and 1.
3
Let o(j) = j**3 - j**2 - 6*j + 5. Let r be o(3). Suppose 3*g = -3*h + 90, -r*g + 105 = h - 5*h. Calculate the least common multiple of 11 and g.
275
Find the common denominator of ((-4)/40)/(3 - (-1860)/(-632)) and -103/72.
360
Suppose -4*g = -20, -3*d + 6*g + 218 = g. What is the smallest common multiple of d and 81?
81
Let y = -147 + 47. Let a = y - -121. Calculate the lowest common multiple of a and 6.
42
Let j = -22074 + 22126. Suppose -2*p + 10 = -10. Calculate the smallest common multiple of p and j.
260
Suppose -5*w + 0*t = t, 5*w = 5*t + 30. Let u be (-4)/14 + 24/(-14). What is the common denominator of w/(u/51) - 0 and 65/4?
4
Let h = 2/71854645 + 11924996725/5719629742. Let x =