 0. Calculate the lowest common multiple of -1 - -6*m/r and 10.
10
Suppose -11*c = 67 - 1. Let j = -28 - -43. Calculate the common denominator of 28/(-6)*j/c and -22/3.
3
Let q = 39313/20 + -1966. Find the common denominator of 57/4 and q.
20
Suppose 10 = 3*p + 4. Suppose 11 - 1 = p*i. Calculate the least common multiple of i and 7.
35
Let u be 4/(-2 + (-8)/(-6)). Let b = u + -40. Calculate the common denominator of -63/5 and b.
5
Let j = 17 + -12. Suppose -j*z + 3*q = -z - 72, 0 = -4*z - 4*q + 72. Calculate the smallest common multiple of (-4)/8 - (-37)/2 and z.
18
Let t = -9841 - -2548815/259. Let q = -26143/1036 + t. Calculate the common denominator of 13/14 and q.
28
Let q(h) = h**3 - 8*h**2 + 2*h - 8. Suppose -s - 75 = -5*l + 21, 2*l = -3*s + 52. What is the lowest common multiple of q(8) and l?
40
Let z be (-1 - -1) + (-1171)/(-1). Let u = z - 2389/2. What is the common denominator of 77/16 and u?
16
Let h = -2 - -6. Let p(t) = -t**3 + 4*t**2 + 6*t - 4. Let o be p(h). Find the common denominator of -1/20 and ((-483)/28)/(54/o).
180
Suppose 4*c - 54 = -3*q, 3*q - 2*c + 7*c - 54 = 0. Calculate the least common multiple of q and 42.
126
Find the common denominator of -3 + (1 - (-4 - 425/(-110))) and 0 + (-428)/(-72) + -3.
198
Let t be (-4 + 17)/(2 + (-1)/1). Suppose 3*j + 3*m = -j + 5, 0 = 4*j - 5*m - t. Calculate the least common multiple of ((-33)/(-12))/(2/8) and j.
22
Let s = 544 - 1670/3. Let n be -334*((-2490)/(-32))/5. Let g = n + 5191. Calculate the common denominator of s and g.
24
Suppose i - 149 = -4*q, -2*q - 4*i = -7*q + 160. Let f = -15 + q. Calculate the smallest common multiple of 12 and f.
84
Let j = -138061/8004 + -2/2001. Calculate the common denominator of -97/12 and j.
12
Let z(t) be the first derivative of t**5/120 + 5*t**4/24 - t**3 + 3. Let a(u) be the third derivative of z(u). What is the lowest common multiple of 6 and a(5)?
30
Let v be (-472)/(-182) + (-30)/105. Let y = -57/26 - v. What is the common denominator of y and -91/2?
2
Suppose 8*v = -2*v + 40. Suppose 45 = 6*h - h. Let y = 15 - h. What is the least common multiple of y and v?
12
What is the common denominator of 20/6 + -4 + (-228)/(-45) and -39/37?
185
Let u be ((-12)/(-9))/((-2)/(-3)). Find the common denominator of (u/(-10))/(3/(-365)) and 73/2.
6
Suppose 5*x - 19*x = -21350. Let l = x + -15309/10. Find the common denominator of l and -91/18.
90
Suppose -5*c = 3*f - 897, 3*c - c + 2*f = 358. Find the common denominator of -5/8 and ((-582)/c)/((-1)/3).
40
Let f(m) be the third derivative of m**6/60 + 2*m**5/15 + m**4/8 - 2*m**2. What is the least common multiple of 15 and f(-3)?
45
Let q(z) = -3*z - 50. Suppose l = 2*v - 18, -v + 4*v = -3*l + 45. Calculate the smallest common multiple of v and q(-19).
77
Find the common denominator of -103/268 and (-4)/2 + (59/6 - -12).
804
Let f be 85/(-2) + (-4 - 45/(-10)). Find the common denominator of -15/34 and 319/f - (14/(-3) + 4).
238
Let w be ((11 + 5)/(-4))/((-2)/4). Calculate the lowest common multiple of (0 - 3/(-6))/(2/w) and 1.
2
Find the common denominator of -1 + 1096/(-144) + 1 and 99/38.
342
Suppose 2874 = 2*p - 3*p. Let k = 149/1716 - -24556073/8580. Let x = k + p. Find the common denominator of x and 65/6.
30
Let i(t) = -497*t - 12. Let p be i(-6). Suppose -r = 5*r - p. Let l = r + -4993/10. Find the common denominator of -13/22 and l.
110
Suppose 3*r = h - 11, -5*r - 12 = -5*h + 23. Suppose 0 = 2*m + h*q - 229, 4*m + 2*q + 0*q - 418 = 0. Calculate the lowest common multiple of m and 6.
102
Suppose -210 = -0*s - 3*s. Calculate the smallest common multiple of s/8 - 14/(-56) and 2.
18
Let z = 40868 - 1634599/40. What is the common denominator of 7/4 and z?
40
Let k(x) = x - 6. Suppose 4*g + 5*p + 66 = 0, -5*g - 8*p + 4*p = 78. Calculate the lowest common multiple of (12/(-2))/(6/g) and k(8).
14
Let u = -15/131 - 973/655. What is the common denominator of -41/122 and u?
610
Let x = -786/13 - -60483/1001. Find the common denominator of 52/99 and x.
693
Suppose 3*p - 9*p = -846. Let w = -99 + p. What is the lowest common multiple of w and 22?
462
Let a = 286 - 204. Let k = -157 - -163. Calculate the least common multiple of a and k.
246
Suppose 20*m - 81 = 17*m. Suppose 96 = -19*k + m*k. Calculate the least common multiple of k and 20.
60
Suppose -5*w + 13 = t, t - 56 = 4*t - 4*w. Find the common denominator of -59/10 and (-160)/t + 2/12.
10
Suppose -12*a + 5*a + 63 = 0. Let i be 5*2/(-10)*-2. Suppose 0 = 5*s - 2*z - 41, 0*s - s + i*z = -13. What is the lowest common multiple of s and a?
63
Let k = 1625/1848 - 1/231. Suppose 0 = -3*i - 24 - 6. What is the common denominator of ((-1)/i)/(1/(-51)) and k?
40
Suppose -2*t + 3*t = -2, -11 = -5*l + 3*t. Calculate the common denominator of (l/5)/(72/(-45)) and (-4)/(-5) + 1337/210.
24
Let d be 4/(-16) - (0 + (-338571)/(-12)). Let t = 2708663/96 + d. Find the common denominator of 43/20 and t.
480
Suppose s + 3*s - 20 = 0. Find the common denominator of (230/168)/5*(-4 - s) and 58/3.
84
Calculate the common denominator of 516/(-80) - 7/14*-6 and (-2)/(-7) + (-106)/224.
80
Let m(j) = -j**3 + 2*j**2 + 3*j - 2. Let v be m(3). What is the smallest common multiple of 3/((-2)/(32/26) - v) and 2?
8
Suppose -2*l - 71 = -h + l, 0 = 4*h - 3*l - 302. What is the lowest common multiple of h and 7?
77
Let p = 287 + -247. Calculate the lowest common multiple of 336 and p.
1680
Let s = 618 + -486. Calculate the smallest common multiple of s and 132.
132
Let q = -10181 - -4062224/399. Let z = 4171/798 - q. What is the common denominator of 83/4 and z?
28
Let z = -5 - -26. Suppose z - 161 = -10*h. What is the smallest common multiple of h and 20?
140
Let x(l) = -3*l - 9. Let s be x(-7). Let g = s + -27. Let b = g + 22. What is the lowest common multiple of 11 and b?
77
Let w(v) = -2*v. Let x(g) = -5*g. Let f(l) = -8*w(l) + 3*x(l). Let o = 11 - 9. What is the lowest common multiple of f(2) and o?
2
Let c = -1242 - -1266. Calculate the lowest common multiple of c and 66.
264
Let v(c) = 18*c**3 - 2*c**2 + 2*c. Let x be v(5). Let z = -19913/9 + x. Calculate the common denominator of z and 23/42.
126
Let i(o) = 194*o**3 + 1. Let w be i(1). What is the common denominator of 4/(-48)*w/20 and -17/12?
48
What is the common denominator of 76/21 and 0 - (-10 - -12)/(196/(-58))?
147
Let h = 14/879 - -21347/2637. Calculate the common denominator of h and -17/171.
171
What is the common denominator of (-4356)/648 - -2*(-3)/(-6) and 56/33?
198
Let y be -1*(369/(-3))/3. Suppose -5*x + q + 2*q + 79 = 0, -5*q = 4*x - y. Find the common denominator of 97/20 and (x/20)/((-22)/495).
20
Suppose w - 37*z - 12 = -40*z, -4*w = -3*z - 33. Calculate the lowest common multiple of 408 and w.
1224
Let p(n) = 20*n**2 + 2*n. Calculate the least common multiple of p(1) and 7.
154
Let n = -40 + 47. Let l = -19 - -23. What is the least common multiple of l and n?
28
Suppose -53 + 193 = 5*z. What is the common denominator of -19/6 and (-128)/z + (0/2 - 0)?
42
Let i = 77 + -71. Suppose 10*q = i*q + 28. Calculate the lowest common multiple of (2/(-6))/((-1)/3) and q.
7
Let z = 38795/124 + -2468/31. Let n = z + -255. Calculate the common denominator of (-2)/6 + (-235)/24 and n.
8
Suppose 2*y - 26 + 6 = 0. Suppose -y = i + 1. Calculate the common denominator of 29/i - 2 - -1 and 1/7.
77
Let d = -16 - -26. Suppose -3*w = -6*w + 27. Suppose r + 5*t + 23 = 0, -w = -r + 3*t + 8. What is the smallest common multiple of r and d?
10
Find the common denominator of -21/88 and 10*(-8)/(-3960)*67/(-4).
792
Let n = 292/11 + -1867/55. What is the common denominator of n and 25/47?
235
Suppose -v - 140 - 4 = -5*i, i + v - 24 = 0. What is the lowest common multiple of i and 8?
56
Let g = -15 - -32. What is the smallest common multiple of g and 12?
204
Let c = -2723447/132 - -20632. Calculate the common denominator of c and -41/36.
396
Calculate the common denominator of (-527)/60 + (-2)/(-10) and (-34)/(-13) + (-185)/74.
156
Let l = 1043 + -31297/30. Find the common denominator of -67/30 and l.
30
Suppose 0 = -2*s + 6*s - 576. Let l be (-2)/s*(-18)/114. Let t = 13217/3192 + l. What is the common denominator of -3/10 and t?
70
Suppose 115*z = 117*z - 36. Let b(k) = -k**2 + 48. What is the least common multiple of z and b(0)?
14