t c be (-3 + 2657)/((891396/321)/3). Let h = -166517/4 + 374829799/9004. Let z = c - h. Find the common denominator of z and 15/22.
22
Suppose 71 - 23 = 4*y. Suppose 4*f - 12 = y. Let r(a) = 21*a + 1. What is the least common multiple of r(1) and f?
66
Find the common denominator of (-6)/57 + 14113/5016 and -83/12.
24
Let j(h) = 36*h**2 - 14*h**2 - 15*h**2 - 1 + 2*h. Calculate the smallest common multiple of 2 and j(1).
8
Calculate the least common multiple of 11816/168 - 15/(-9) and 108.
216
Find the common denominator of (-5)/(-20)*(3 + (-201)/1) and -47/7.
14
Calculate the common denominator of ((-4)/(-12))/((-14)/(-123)) and 2/3*(-387)/(-30).
70
Let j = -116938/21 - -5567. What is the common denominator of -65/147 and j?
147
Let h(k) = -24*k**3 - 117*k**2 - k. What is the least common multiple of h(-6) and 12?
1956
Let q = 12880104381023/1808817699944 + -5/965217556. Let u = q + 4/937. What is the common denominator of u and (567/72 - 8) + 187/(-8)?
8
Let q = -31 + 21. What is the lowest common multiple of 20 and (-206)/q - (-9)/(-15)?
20
Let a = 0 + -1. What is the smallest common multiple of (a + 3)/(-2)*-6 and (5 - (-15 + 18))/((-1)/(-2))?
12
Suppose 3*n = 2*i - 53, 3*n - 115 = -i - 3*i. What is the lowest common multiple of 20 and i?
140
Let z = 9 - -13. Let k(o) be the third derivative of o**5/60 - 5*o**4/24 + 11*o**3/3 + 35*o**2. What is the least common multiple of z and k(5)?
22
Let n = 2025/403 + -120/31. Calculate the common denominator of n and -51/16.
208
Let h(o) = -o + 11. Let s = 299 - 297. Calculate the lowest common multiple of s and h(5).
6
Suppose t + 2*t - 468 = 2*j, 2*j + 5*t = -500. Find the common denominator of 488/j - (1 + 0) and 31/18.
90
Let o = -2/70301 - -431859/351505. What is the common denominator of o and -60/91?
455
Suppose 6476*q - 6470*q - 840 = 0. Calculate the lowest common multiple of q and 210.
420
Let j = 724 - 14477/20. Calculate the common denominator of -17/140 and j.
140
Suppose -24 = -s + 5*h, -4*s + h + 42 = -h. Let n = 4 - 0. Suppose -f + n*f - 32 = -2*i, 2*i - 5*f = 0. What is the lowest common multiple of s and i?
90
Suppose 2*u = -4, 4*u = 6*x - x - 23. Suppose -x*c + 8 = -7. Suppose 0*z + 2*z = 2. What is the smallest common multiple of c and z?
5
Let j(b) = 2*b + 4. Suppose -7*i - 20 = -9*i. Calculate the least common multiple of i/4*6 - 3 and j(4).
12
Let u = 19/78 - -4159/858. Calculate the common denominator of -38/9 and u.
99
Calculate the lowest common multiple of 16 and (12087/27 - -4) + (-3)/(-9).
1808
Let z(i) = 13*i**2 - i + 2. Let q be z(2). Let w = -19 + q. What is the smallest common multiple of w and 3?
33
Let c be 9/12*(-3 - 330/9). Let x = c - -319/12. Calculate the common denominator of x and -71/12.
12
Let g be (-26)/(-1) + (-2)/(-2). Let w = 31 - g. Let x(t) = 4*t + 4. What is the lowest common multiple of x(4) and w?
20
Let k be (9/(-4))/(18/(-192)). Suppose 28*a - k = 24*a. Suppose -7*p - 2*x + 70 = -3*p, 0 = 5*p - 2*x - 92. What is the lowest common multiple of a and p?
18
Let x be (-3 + 0)*(-28)/4. Suppose 5*v = -4*k - 14 + 35, 0 = -5*k - v + x. What is the least common multiple of k and (-15 - -1)/(-2) + -2?
20
Let j(y) be the first derivative of y**2 + 5/4*y**4 - 2/3*y**3 - 1 - y. What is the lowest common multiple of j(1) and 8?
8
Let h(s) = -s**3 + 5*s**2 - 3*s - 2. Suppose -11*i - 286 = 2*i. What is the lowest common multiple of h(4) and (i + 4)/(-3) + 5 + -3?
8
Let k = 84161/10 + -8424. Let p = 38974/45 - 4366/5. Find the common denominator of k and p.
90
Let q = -21 + 53. What is the smallest common multiple of 20 and q?
160
Let n = 83 + -26. Suppose -u + n = 4*r, -5*u - 1 = -6. Suppose 0 = 19*k - 29*k + 80. What is the lowest common multiple of k and r?
56
Let n = 247 + -229. Let w = 0 - -2. Suppose -d + 4*t - 8 = 0, -38 = -2*d - w*d + 2*t. What is the lowest common multiple of n and d?
36
Let n = 46 - 43. Suppose -n*b + 8*b = 2*h - 36, -2*h - 5*b - 4 = 0. What is the lowest common multiple of h and 3?
24
What is the common denominator of 53/252 and ((-851)/12)/(-23) - 1?
252
Let j(d) = 10*d**2 - 89*d - 7. Calculate the smallest common multiple of j(9) and 464.
464
Let s(f) = 15*f + 154. Let r be s(-8). Let y(g) = 3*g**3 + 3*g**2 + g. Let i be y(-2). Let k = r + i. Calculate the lowest common multiple of k and 14.
140
Let x = 59 - 3. Let h = x + -48. What is the smallest common multiple of 6 and h?
24
Let b = 188849/12 - 15748. Find the common denominator of 99/2 and b.
12
Let p(j) = 3*j**2 - 2*j + 1. Let s be p(1). Suppose 6*g = 3*g + 4*f + 39, -2*g = 3*f - 26. What is the smallest common multiple of (2 + (3 - -3))/s and g?
52
Calculate the common denominator of ((-1166)/(-318))/(2 + (-92)/6) and -49/32.
160
Let x = 46 + -46. Suppose a - 1 = x, -z - 2*a + 0 = -22. Calculate the smallest common multiple of z and 2.
20
Let n(b) = -1960*b - 2. Let j(t) = -1959*t - 1. Let s(z) = 3*j(z) - 2*n(z). Let a be s(-1). Let r = 4011/2 - a. Calculate the common denominator of 16/9 and r.
18
Let p be (-22)/2 - (-2 + 1). Let a = p + 4. What is the common denominator of (259/(-84))/(2/a) and 1/14?
28
Let g(i) = -8 + i + 3*i**2 - i**3 + 3 + i**2. Let j be g(4). Let d = j + 12. Calculate the least common multiple of 6 and d.
66
Suppose 2*c = 2*d - 148, -1 = -d - 2. Let h = -45 - c. Suppose -7*i + 3*i = -4*p - 12, -4*i - 2*p + h = 0. What is the lowest common multiple of 18 and i?
18
Let x = -46 + 28. Let l = x + 27. What is the lowest common multiple of 33 and l?
99
Suppose 12 = 4*o + t + 3*t, 5*o - 50 = 2*t. Let p(a) = -4*a**2 + 6*a - 5. Let r be p(o). What is the common denominator of -89/22 and r/(-40)*12/18?
220
Let x(v) = -v + 30. Let p be x(3). Suppose -3*i + 68 = 4*w, -3*i + p = -i - w. What is the least common multiple of 20 and i?
80
Find the common denominator of (-1064)/238*(-2)/6 and 95/2.
102
Let r(y) = -3*y**2. Let c be r(-1). Suppose -t + 4*h - 18 = 0, t - 46 = 3*t - 3*h. Calculate the common denominator of 37/2 and t/c - (-7)/(-21).
6
What is the common denominator of (-158)/(-10)*(-2)/12 and ((-24)/(-16) + -4)/(-3 + 459/126)?
90
Let p = 2 + 4. Let m be (((-5532)/(-44))/3)/p. Let i = -160/33 - m. What is the common denominator of i and 109/30?
30
Suppose 5*l - 2*b - 3*b + 5 = 0, -2*l = -3*b + 7. Suppose -3*c + l*c + 2 = 0. Calculate the common denominator of (-380)/(-16) + 2/c and -41/20.
20
Let h(v) = -v**2 - 7*v + 6. Let j be h(-6). What is the least common multiple of (-3)/j*16/(-2) and 8?
8
What is the common denominator of (-26)/80*8/((-80)/(-25)) and 12/(-9)*(-65)/8?
48
Let y = -1168 - -1179. Calculate the least common multiple of 9 and y.
99
Suppose -t = 3*h + 7, -4*t + 6*h - 2*h = -36. Suppose 3*f = -f - l + 15, -3*f = -3*l - 15. Let x = t - f. Calculate the lowest common multiple of x and 10.
10
Let p = 9522/11 + -863. Find the common denominator of -73/18 and p.
198
Find the common denominator of (-6 - (-442236)/70848) + 4/(-18) and -25/16.
656
Suppose -2*z = -3*w - 3220, 3*w - 5358 = 8*w + z. Let v = -2267/102 + 173/51. Find the common denominator of 3/(-8)*w/72 and v.
12
Let g = 2387 - 23817/10. Calculate the common denominator of -121/120 and g.
120
Let j(r) = -r + 8. Let x be j(8). Suppose x*t = -2*t + 18. Calculate the least common multiple of (t/(-6))/((-1)/12) and 12.
36
Let l = -5833 + 204206/35. Find the common denominator of 65/56 and l.
280
Let o = 480202426/153 - 3138567. Let p = o + -495/34. Calculate the common denominator of 1 + (-2)/(-64)*62 and p.
144
What is the common denominator of (-2)/(-7) - (-443)/(-644) and -41?
92
Let w be (-2361)/17322*11 - (-6)/4. Let i = -349315/17322 - w. Find the common denominator of -4/43 and i.
258
Let z = -3076 - -24553/8. Find the common denominator of -83/52 and z.
104
Let k = 610 + -583. What is the smallest common multiple of 18 and k?
54
Let p = -3391/2031 - -2/677. Calculate the common denominator of 146/22*(-319)/(-1218) and p.
42
Let o = -201892/26173 - 2/3739. What is the common denominator of -45/43 and o?
301
What is the common denominator of (6230/(-490))/(6/7) and 3/104?
312
Suppose 4*w - 5*n + 16 = 0, -17 = -7*w + 2*w - 3*n. Let x = w + 9. Suppose 0 = -2*p - p + 39. Calculate the lowest common multiple of p and x.
130
Find the common denominator of -181*2/(-56) + (-1)/4 and 73/222.