2*f - 305. Calculate the lowest common multiple of d and 117.
819
Let d(q) = 12*q**2 + 14*q - 9. What is the least common multiple of d(4) and 8?
1912
What is the lowest common multiple of 2 and (-15)/20*14/3*-4?
14
Let z = 99640058 - 233655920997/2345. Let d = z - 1/469. What is the common denominator of d and 3/2?
10
Suppose 3*w + 44 = 128. Suppose -12*u + 13*u = 10. Calculate the least common multiple of w and u.
140
Suppose a = -7*a + 48. Let i = 10 + -3. Let k(h) = -h**2 + 7*h + 3. What is the lowest common multiple of k(i) and a?
6
Let j(q) = q**2 + 3*q - 2. What is the smallest common multiple of j(-4) and (-6)/(-8) + -44*(-35)/80?
20
Let r = 47083/33252 - -2/2771. Calculate the common denominator of ((-10)/7 - -1)*(-438060)/7560 and r.
12
Let q(x) = -5*x + 85. What is the lowest common multiple of q(7) and 2?
50
Let d(z) be the second derivative of z**5/20 - z**4/12 - 3*z**2/2 + 6*z. Calculate the smallest common multiple of d(3) and 9.
45
What is the common denominator of (87/18)/((-1)/9) and (424/(-168))/((-2)/(-3))?
14
Suppose 0*j - j - 1 = 0. Let c(m) = -m**2 - 7*m. What is the least common multiple of c(-2) and 3/(j/((-4)/6))?
10
Let t(j) = j**2 + 3*j - 10. Let h be t(-6). Let s = 1 + h. Calculate the smallest common multiple of s and 3.
9
Let l(p) = p**3 + 4*p**2 - 2*p - 2. Let z(t) = -t**2 + 13*t + 26. What is the least common multiple of l(-4) and z(10)?
168
Suppose -32 + 2 = -p. Suppose -f + 31 + 26 = 3*h, -4*f - 2*h = -198. What is the least common multiple of f and p?
240
Let g = 13180/9 - 1462. Find the common denominator of 20/19 and g.
171
What is the smallest common multiple of (-8 - (-96)/10)*10 and 2?
16
Calculate the lowest common multiple of 28 and (5 - 1) + 9 - 60/12.
56
Let h = -21101450/4587 + 50604/11. What is the common denominator of 127/30 and h?
4170
Suppose -3*n = -2*p + 63, p + 3*n + 2 - 11 = 0. Calculate the least common multiple of 6 and p.
24
Suppose -37*y + 10250 = 13*y. Calculate the lowest common multiple of y and 2.
410
Let l = -69 - -81/2. Let y = 17707/21 + -6836/21. Let n = y + -1069/2. What is the common denominator of n and l?
6
Suppose -2*c - 3*c + 3*m + 10 = 0, m + 2 = c. Let s(j) = 9*j**3 + j**2. Let g be s(1). Let q = g + c. Calculate the lowest common multiple of q and 8.
24
Let s be (-3 + (0 - -116))/1. Let u = -101 + s. Calculate the lowest common multiple of u and 36.
36
Suppose 6*n + 205 = 667. Calculate the least common multiple of n and 7.
77
Let l = -3 - -8. Calculate the lowest common multiple of 23 and l.
115
Suppose 0 = -10*a + 11*a - 3. Calculate the common denominator of 54/19 and ((-27)/(-2))/(-1 + 2/a).
38
Let u = 17 - 8. What is the smallest common multiple of 8/6*575/92 + 2/3 and u?
9
Find the common denominator of (94/88 + -2)/((-69)/(-46)) and 139/18.
198
What is the common denominator of -89/40 and 8 + 540/(-70) - 828/350?
200
Let q(x) = x**2 + 2*x - 1. Let o be q(-3). Suppose 19*m + 2 - 40 = 0. What is the least common multiple of (8/2)/1*o and m?
8
Let y = 555/14 - 40391/1036. What is the common denominator of -25/6 and y?
444
Suppose n - 7372 = -5*c, 3*c = 5*n - 4*n + 4420. Let s = c - 2859/2. What is the common denominator of -85/8 and s?
8
Suppose -2*r = 3*b - 4, 2*r - 2*b = 4*r. Let i be ((-14)/(-56))/((-1)/r). Suppose -i + 5 = j. What is the least common multiple of 11 and j?
44
Suppose -4312 + 3880 = -12*b. What is the least common multiple of b and 2?
36
Let i = -144 + 300. Let o = -120 + i. Calculate the least common multiple of o and 15.
180
Let a(p) = 1. Let g(d) = -d - 1. Let r(i) = -a(i) + g(i). Let o be r(-6). Suppose o*l - 7*l = -9. Calculate the lowest common multiple of l and 4.
12
Let k(u) = 11*u - 54. Let m be k(9). Let x = -50 + 23. Let h = m + x. What is the least common multiple of 22 and h?
198
Let g = 30 - 46. Find the common denominator of (4 - -63)/(g/2) and (-85)/2*(-2)/(-50).
40
Let h be ((-8)/16)/((-2)/(-124)). Let r = -27 - h. Calculate the least common multiple of r and 8.
8
Calculate the least common multiple of 28 and (38 - 2)*(7 + 24/(-4)).
252
Suppose s = -1, -2*c + 20 = s + s. Let a = 3554027/1133154 - 2/51507. What is the common denominator of 107/4*(-2)/c and a?
22
Calculate the common denominator of 8 - 1 - 372/(-576)*-9 and 49/472.
944
Find the common denominator of 67/96 and (39/24 + (-6)/4)*98.
96
Suppose -5*d = -97038 - 5602. Let n = -369389/18 + d. Let u = -7025261/1258260 - 2/104855. Find the common denominator of u and n.
36
Suppose -2 = 3*r + 5*a - 12, 5*a = -4*r + 20. Let j be (-4 - -2)/(1 + 0). What is the lowest common multiple of r and 1/j*-2*18?
90
Let i = 68 - 338/5. What is the common denominator of (16/3)/(25/(-30)) and i?
5
Suppose 40*p = 44*p - 240. Calculate the least common multiple of p and 120.
120
Let a(g) = g**3 + 5*g**2 - 6*g + 3. Let y be a(-6). Suppose -y*t + t + 8 = 0. Suppose -5*f + 2*f + 15 = 0. Calculate the least common multiple of t and f.
20
Let s = 1664 + 21258. Let u = 756370/33 - s. Find the common denominator of 31/9 and u.
99
Let b = -17123/3420 + 188/95. Calculate the common denominator of 77/93 and b.
1116
Suppose -20*h + 25*h = -140. Let c = h - -33. What is the least common multiple of c and 10?
10
Suppose 9*d + 231 = 1743. What is the lowest common multiple of d and 8?
168
Calculate the lowest common multiple of (26 - -1) + 414/(-69) and 303.
2121
Let b = -28984842453 - -1449271107618674/50001. Let a = b - 4/7143. What is the common denominator of a and -179/30?
210
Let x = 80 + -62. Suppose 130 = -3*j + 8*j. What is the least common multiple of x and j?
234
Suppose 6*n = 11*n - 10. Suppose 3*b = -5*y + 34, -y - n = 5*b - 0. Calculate the lowest common multiple of y and (-88)/(-6) + 10/(-15).
56
What is the common denominator of (7 + 2378/(-342))*30 and -149/18?
342
Let c(q) = 9*q**2 + 33*q - 112. What is the least common multiple of c(7) and 22?
6160
Let t(b) = -b**3 + b**2 + b. Let l be (-24)/(-15)*(75/6)/5. Suppose 0 = l*r - 10 - 10. What is the lowest common multiple of t(-1) and r?
5
Let f be (12 - -10)/(1/(-21)) + -3. Let g = 3/434 + -2839/2604. What is the common denominator of g and (3/15)/(6/f)?
12
Let g = 64511/105 + -17639/70. Let x = 2692/7 - g. Find the common denominator of 26/15 and x.
30
Let a be (3/(-12))/(3/(-36)) + -1. Let r = a + 4. Let t = -5 - -7. Calculate the smallest common multiple of t and r.
6
Find the common denominator of 11/166 and -3 + 0/(-3) + 240/9.
498
Let y be 1 + 81516/(-80)*2. Suppose 3*s + 6096 = 6*s. Let b = y + s. What is the common denominator of 67/9 and b?
90
Let n = -2/6993 + 340328/6993. Let s = -494/9 + n. What is the common denominator of -62/9 and s?
9
Suppose 16*g - 165 = g. Let v(w) = -w**3 - 3*w**2 + 2*w - 1. What is the smallest common multiple of v(-4) and g?
77
Let d = -169 + 181. What is the least common multiple of 304 and d?
912
Suppose -4*v + 5 = w, -9 = -4*w - 4*v + 11. Suppose b = 3*n - 35, -n - 3*b - 2*b - 15 = 0. Let h = n + -1. Calculate the smallest common multiple of h and w.
45
Suppose 0 = -3*z + 2*q + 3, -5*q + 2 = 2*z - 0*q. What is the lowest common multiple of z - (-4 - (-2)/1) and 3?
3
Calculate the common denominator of -55/6 and 218/2*(3124/(-1560) + 2).
390
Let c = 18 + -19. Let p be (2 + c)/(1/3). Suppose -p*z = -7*z + 32. What is the smallest common multiple of 12 and z?
24
Let s = -100 - -49. Let h = s + 62. Calculate the least common multiple of 10 and h.
110
Suppose 2*u - 56 = 4*i + u, 2*i - u = -28. Let x = i - 1031. Let j = -8305/8 - x. Find the common denominator of j and -29/8.
8
Let a be -1*(4 - 0) - 191. Let w = a - -199. Calculate the smallest common multiple of w and (-556)/(-10) + (-2)/(-5).
56
Suppose 3 = -2*h + 7. Suppose -3*y = h*y - 10. Find the common denominator of (-1 - (-106)/4) + y and 58/3.
6
Suppose -713 = -3*b + c - 2950, -b = -c + 743. Let r be (-8)/16 - (-13794)/b. Let q = r - -11/83. What is the common denominator of 29/9 and q?
18
Let a = -13271/822 + -140/137. What is the common denominator of (-195)/(-72)*(-301)/215 and a?
24
Let r(a) = 8*a - 12. Let i be r(-2). Calculate the smallest common multiple of (6/21)/((-1)/i) and 1.
8
Let w(u) = 11*u**3 + 2*u**2 - 7*u + 6. Calculate the smallest common multiple of 79 and w(1).
948
Let h(t) be the third derivative of t**4/24 - t**3/2 - t