 24, -f + 9 = 2*d. Let g(j) = j**2 + 23*j - 17. What is the lowest common multiple of d and g(-24)?
42
Let u(c) be the second derivative of c**5/20 - c**4/2 + c**2 - 5*c. Let g be u(6). Calculate the lowest common multiple of 4 and g*6 + -12 + 11.
44
Let j(r) = r**3 + r**2 - r + 30. Suppose 665 - 854 = -7*d. What is the least common multiple of j(0) and d?
270
Let z(k) = 4*k**2 + 13*k - 32. Calculate the smallest common multiple of 24 and z(-8).
120
What is the common denominator of (23/(115/174))/(-4) and -161/90?
90
Let n(h) = h**2 - 31*h - 452. Suppose 0*b - 3*b = -15. Calculate the lowest common multiple of b and n(-11).
10
Let n = 48 + -24. Suppose 29*y - n*y = 100. What is the smallest common multiple of y and 20?
20
What is the common denominator of (42/(-5) - -1)/(-4 - -5) and -21/32?
160
Let n(v) = -v**3 + 5*v**2 - 8*v - 10. Calculate the lowest common multiple of n(-7) and 18.
5706
Suppose v - 39 = -4*k + 4*v, -3*k - 2*v + 42 = 0. What is the lowest common multiple of 27 + 16 + -17 + 16 and k?
84
Let z = -292390/9 - -1242109/36. Let u = 2005 - z. Let w = 5173/8 + -644. What is the common denominator of u and w?
8
Let q(k) = -k**3 - 50*k**2 + k + 52. What is the least common multiple of 48 and q(-50)?
48
Let b = 229 + -139. Let l(k) = k**2 - 4*k - 7. Let x be l(6). Calculate the least common multiple of 20 and (b/x)/1 - 2.
80
Find the common denominator of -26/11 and 4 - 8 - (524/(-146) + 0).
803
What is the common denominator of 2/(-96)*92*(-18)/(-56) and 33/8?
112
Suppose 10*g - 6 = 9*g. Suppose 2 = n - 2. What is the least common multiple of g and n?
12
Suppose 11*g - 7*g - 101 = 5*h, 0 = 5*g - 5*h - 120. Calculate the lowest common multiple of 11 and g.
209
Suppose 4*q + 4 = -0*q. Let k(y) be the third derivative of 11*y**5/60 - y**4/24 - 12*y**2. Calculate the least common multiple of 14 and k(q).
84
Find the common denominator of 30/7 and ((-104)/(-156))/(5/((-430)/(-12))).
63
Suppose 5*f - 38 = -o, 0 = o + 11 - 9. Suppose -36 = -0*z - 6*z. Calculate the smallest common multiple of z and f.
24
Let u be (-4)/(3/(-36)*3). Suppose 120 = -14*a + u*a. Suppose -n = -6*n + a. What is the lowest common multiple of n and 20?
60
Let l = 7421389/119 - 62365. Let n = 597/5 - 125. Calculate the common denominator of l and n.
595
What is the least common multiple of 12 and 105/(-6)*36/(-15)?
84
Let s be ((-8291)/(-2))/((-5)/10). Let t = -3782 - s. Calculate the common denominator of 23/12 and t/(-990) - 4/10.
132
Let p = 369 - 347. Calculate the smallest common multiple of 10 and p.
110
Let q be (-3 - -1)/(5422/(-12)). Let l = q + -225205/43376. What is the common denominator of ((-2)/48)/(4/174) and l?
16
Let j = 79501331/552 - 1296218/9. Let k = -3/184 - j. What is the common denominator of k and -17/10?
90
Suppose 0 = -3*k, 3*u = 8*u + 4*k - 125. Calculate the smallest common multiple of 30 and u.
150
What is the common denominator of 137/84 and -3 + 5648/2016 + (0 - -1)?
252
Let a be (-16)/28 + 1 + (-14684)/(-168). Let o(f) = -18*f - 3. Let p be o(-5). Let u = p - a. Find the common denominator of 7/10 and u.
30
Let y(w) = -w**2 - 11*w + 23. Let j be y(-13). Calculate the smallest common multiple of 7 and (7*j/6)/((-1)/2).
7
Let w = 3390 - 244055/72. Find the common denominator of 145/114 and w.
1368
Calculate the common denominator of -64/33 and 56/42 + ((-1397)/36)/11.
396
Let k(y) = -y**3 - 5*y**2 + y + 6. Let f be k(-5). Find the common denominator of 2680/(-32)*f/10 and -47/24.
24
Let f be (50/12)/(1/39). Let x = f + -611/4. Let w = -3773/6 + 650. Calculate the common denominator of x and w.
12
Suppose -1 = -2*s - 31. Let h = 6 + s. Let l = h + 18. What is the least common multiple of 3 and l?
9
Let o be -3*(2290/(-762) + 3). Let m = -171/2794 + o. Find the common denominator of m and 41/16.
176
What is the common denominator of 402/(-104)*(-11 - 315/(-27)) and -41/16?
208
Let m = 7612933720909321185/780248 - 9757069189422. Let p = m - 4/13933. Let o = 4191 + -67005/16. What is the common denominator of o and p?
112
Let l = 12137/37 - 328. Let k = l - 45/296. What is the common denominator of 53/7 and k?
56
Let x = -893/360 - 63/40. Let m = 5352 - 96289/18. Calculate the common denominator of x and m.
18
Let u = 215 - 203. Calculate the lowest common multiple of 21 and u.
84
Let r = 2921/7326 + -4/407. What is the common denominator of r and (2/8)/(81/(-1818))?
18
Let j = -9 - -5. Let m(v) = v**2 + 8*v + 5. What is the smallest common multiple of m(-8) and (1 + 0)/((-1)/j)?
20
Let m = -238 - -245. Calculate the smallest common multiple of 10 and m.
70
What is the least common multiple of (-10)/(5 - 0)*(1 + -5) and 8?
8
Suppose -345 = -5*v - 2*l + 363, 0 = 3*l + 3. Calculate the least common multiple of 18 and v.
1278
What is the common denominator of -1 + -3 - (-144)/(-42) and 2 + 3897/(-840) - 2/7?
280
Suppose -14 = -2*l - 2. Let c = -94 + 103. Calculate the least common multiple of l and c.
18
Let p be (-2 - 0)/(3/(-1338)). Let w = p + -3499/4. What is the common denominator of -17 and w?
4
Let r = -2905 - -26186/9. Find the common denominator of 3/96*1*(-178)/3 and r.
144
Let l be 12/4 + 4 + -6 + 3. Suppose 5*c - 114 = 2*k, c + l*k - 132 = -4*c. Calculate the smallest common multiple of c and 3.
24
Let x = -54161/10 + 370852/45. Let p = -2826 + x. Calculate the common denominator of 39/4 and p.
36
Suppose -5*t = 4*f + 176 + 10, -t + 2 = 0. Let r(l) = -4*l - 12. Let k be r(-5). Calculate the common denominator of f and (-2)/k + 109/(-20).
10
Let o = -1449/10 - -145. Suppose 22 = -2*x + 5*q + 68, 0 = -5*x - 4*q + 82. Find the common denominator of 24*1*(-4)/((-480)/x) and o.
10
Suppose 0 = 3*u + 15, q = 2*q - 4*u - 27. Let v = q + -9. What is the common denominator of v/(-5) - 319/(-90) and -95/16?
144
Let p(a) = -2*a**3 + 1. Let t be p(2). What is the common denominator of 3/(-9)*18/t and 1 - 6/(108/(-417))?
30
Let n = -12 - -11. Let r = n - -1. Suppose r*v - 2 = -2*v. Calculate the lowest common multiple of v and 8.
8
Suppose 3*x = -4*w + 64, 0*x + 28 = x + 3*w. Let h = x - -5. Calculate the smallest common multiple of 3 and h.
21
Suppose 115 = 8*f - 109. Suppose -2*h = s - 26, 0*s + f = 2*s - 4*h. Calculate the lowest common multiple of s and 4.
20
Let v = 5471/2370 + -2/237. What is the common denominator of -57/358 and v?
1790
Let z(u) = -u**2 - 7*u + 20. Let k be z(-7). Calculate the least common multiple of 30 and (k/(-8))/(2/(-24)*5).
30
Suppose -2*x + 1344 = 12*x. Suppose -x + 94 = -b. Let t = 11 - 1. Calculate the least common multiple of t and b.
10
Suppose 0 = -3*g - 2*q + 229, -5*g + 35 + 332 = -4*q. Let z = -112 + g. Let v = 1811/3 - 7217/12. Find the common denominator of v and z.
4
Let j = -37 - -34. Find the common denominator of 37/11 and 71/(-10) - -1 - j.
110
Let t = -194/57 - 1009/1596. What is the common denominator of -62/35 and t?
140
Let t = -19 - -19. Suppose 2*g - 4*g + 122 = t. Suppose 0 = -4*m + 5*y + 29, -7*m + 2*m + g = 2*y. What is the least common multiple of 9 and m?
99
Let y(j) = -j**2 - 10*j - 9. Let z be (2 - -12)*(1 - (-6)/(-4)). Let v = -21 + 37. What is the lowest common multiple of y(z) and v?
48
Suppose -19*l - 10 = -21*l. Let v(p) = -p**2 + 7*p + 3. Let r be v(6). Suppose 6*k = l*k + r. Calculate the least common multiple of k and 1.
9
Let h = 330656873 + -50920773829/154. Let y = 17456/7 - h. Calculate the common denominator of y and -139/6.
66
Suppose i = 5*j - 5, -i = -3*j - 5*i - 20. Let n = 12 - j. Calculate the smallest common multiple of 14 and n.
84
Let f be ((-1)/2)/(28127/(-66)). Let p = 194359/23013 - f. Find the common denominator of p and -10/3.
9
Let p be (1140 - -1)/((-1)/3). Let l = 27311/8 + p. What is the common denominator of l and -5/2?
8
Suppose -3*r - 2*n = 55, 2*r + 2*n = 3*r + 13. Let v = 41/90 - 19/10. Calculate the common denominator of v and r.
9
What is the smallest common multiple of (21/28)/((-1)/(-60)) and 270?
270
Suppose 3*b - 5*x - 211 = -64, 4*b + 5*x - 231 = 0. Suppose 4*g + 3*r = 68, 3*g = -2*r - r + b. Calculate the common denominator of 19/4 and g/49 + 418/56.
4
Let w be (-10 + 5)*(-4)/5. Suppose -w - 2 = -2*l. Let h = 11 - 7. What is the smallest common multiple of l and h?
12
Suppose -31*f = -27*f - 8448. Find the common denominator of (-5336)/f