51 = -m - 3*k. Suppose 0 = 5*x + 10 - m. Let z(l) = l - 1. Calculate the least common multiple of x and z(5).
4
Find the common denominator of 3136/120 + 4/(-5) and 11/8.
24
Let h be (-5 - 1) + (-2 - 1). Let m = 13 + h. Suppose -2*y = -3*i + 6 + 10, -i + 2*y + 4 = 0. Calculate the least common multiple of m and i.
12
Let b be 1/4 - (-43128)/160. Let h be -257 + 2 + -1 + -2. Let a = b + h. What is the common denominator of a and 85/8?
40
Let l = -1269 + 7481/6. Calculate the common denominator of -93/4 and l.
12
Let q = 3 + -4. Let d be (-1 - q)*(-6)/(-6). Calculate the common denominator of 83/22 and d + 1 + 399/(-60).
220
Let f = -233 + 241. Calculate the common denominator of ((-4)/(-30))/(52/(-18)) and f.
65
Let r(p) = -7*p + 4. Let n be r(4). Let d = -145/6 - n. Let y = -492091/22 + 22364. What is the common denominator of y and d?
66
Suppose 4*f - 10 = -6*f. Find the common denominator of (27/(-2))/(-1 + 0) and f/11*(-1 - -18).
22
Let z = 2967/11 - 266. Let s be (-1439)/(-4) - (-4)/16. What is the common denominator of (-3356)/s + (-2)/(-9) and z?
110
Let n = 151 - 155. What is the common denominator of 2/10*4305/42 and n?
2
Let a(x) = 5*x + 1. Let q(f) = 6*f + 1. Let c(g) = -4*a(g) + 5*q(g). Let s be c(-2). Let k = -5 - s. Calculate the least common multiple of k and 10.
70
Let z(s) = s**2 - 12*s - 5. Let l be z(9). Let h = 35 + l. Calculate the least common multiple of h and 24.
24
Suppose 5*g = 2*v + 7, 4*g = 14*v - 12*v + 6. What is the smallest common multiple of g and 27?
27
Let b(q) be the third derivative of q**6/120 + q**5/12 + q**4/24 - q**3/3 - 3*q**2. Let m be b(-4). Find the common denominator of (-22)/(-12)*m/(-3) and 59/2.
18
Suppose 10717 - 3443 = -2*z - 3*s, 5*z + 18202 = s. Let i be (z + -3 - 0)/1. Let c = -29095/8 - i. Calculate the common denominator of 103/18 and c.
72
Let m be (13/2)/((-16)/(-96)). Suppose 9 = -2*b + m. Calculate the smallest common multiple of b and 21.
105
Let r = 33 - 31. Find the common denominator of (-227)/(-63) + (8/14)/r and 63/2.
18
Calculate the common denominator of 7/668 and ((-2)/5)/((-3073)/(-1015) + -3).
668
Suppose 25*z - 30*z + 5 = 0. Suppose 9 = -2*x - z, 2*n - 44 = 4*x. Let g(k) = -k**3 + k**2 + k - 3. Calculate the lowest common multiple of g(-3) and n.
60
What is the common denominator of (-1)/(-2)*(-1802)/476 and 27/48*104/(-6)?
28
Let c(v) = v**2 + v + 1. Let t(p) = -4*p**2 + 2*p - 7. Let l(d) = -5*c(d) - t(d). What is the least common multiple of l(-6) and 20?
40
Suppose 4*r - 3*r - 31 = 0. Suppose 2*i + r - 99 = 0. Calculate the common denominator of 29/18 and i/8 - (-5)/(-25).
180
Suppose 3*j - 222 = 3*a, -15*j + 17*j - 144 = 3*a. What is the smallest common multiple of j and 3?
78
What is the common denominator of 6*407/(-660) + -3 + -1 and 179/180?
180
Find the common denominator of (-172)/1200*-2 - 4/(-40) and 61/65.
975
Let b be 342/(-24)*4/((-108)/(-357)). Let k = 189 + b. What is the common denominator of k and -11/6?
12
Let h = 103194 - 19194133/186. Calculate the common denominator of -11/155 and h.
930
Find the common denominator of 5/9 and ((-4)/206)/((-37)/(4921/84)).
1854
Let k be 6831/(-5) + (-2)/(-2). Let q = 96009/70 + k. Find the common denominator of -73/32 and q.
224
Let i = -735 - 3282. Let x = i + 16153/4. Find the common denominator of x and -21/10.
20
Suppose 3*b - 15 = 0, 4*b = 4*p + 24 - 4. Suppose 0 = -2*q - p*q - 12. Let i = q + 8. Calculate the smallest common multiple of i and 9.
18
Find the common denominator of ((-10)/(320/(-1164)))/6 and 73/24.
48
Suppose -13 + 4 = -f. What is the smallest common multiple of f and 10?
90
Let l(i) = i + 8. Let b be l(-6). Let h = 4 - b. Suppose -5*t + 9*t - 88 = 0. What is the smallest common multiple of h and t?
22
Let q(u) = u**3 - u**2 - u. Let m(r) = -2*r**3 + 6*r**2 + 9*r + 2. Let x(v) = m(v) + q(v). What is the lowest common multiple of 6 and x(6)?
42
Let j = -196/27 - -5287/675. Calculate the common denominator of 48/11 and j.
825
Suppose -33*a + 35*a = 76. Suppose 0 = m - 5 + 3, n - m = 16. Calculate the least common multiple of a and n.
342
Let x = 8823 + -88301/10. Suppose -d - 3 = -7. Suppose 5*y + 4*s = -12, y - d*s - 10 = 2. Calculate the common denominator of y and x.
10
Let s = 3257/5 + -39047/60. What is the common denominator of 69/22 and s?
660
Let q be (-6)/10 - 1121/15. Let d = -327/4 - q. Calculate the common denominator of -89/26 and d.
156
Let t = -17787 - -391379/22. Let z(j) = j**3 - 6*j**2 - j + 7. Let n be z(6). Find the common denominator of t and -1 + n - (-395)/(-170).
374
Let x(g) be the third derivative of -g**5/5 + g**2. Let d be x(2). What is the common denominator of (-9)/(-12) + 273/d and 115/14?
112
Let y be 34/6 - 5/(-15). Let d = -32/525 + 28529/11550. What is the common denominator of d and 4/8 + (-82)/y?
66
Calculate the least common multiple of ((-12)/9)/((-4)/6) and (-10)/(-1)*(1 - 5 - -5).
10
Calculate the common denominator of (12/18)/(1 - 163/159) and 95/158.
158
Let g be 38/12 + 4 + 25/(-6). Find the common denominator of 29/10 and (g/2)/(216/(-40)).
90
Suppose 0 = -2*x - 4*j + 10, 47*x + 3*j = 48*x - 10. What is the least common multiple of x and (-10)/((-3)/1 + 2)?
70
Let d = -5404 - -97303/18. Calculate the common denominator of (-4)/14 - 367/(-231) and d.
198
Let o(b) = 4*b + 4. Let i be o(-2). What is the lowest common multiple of 4896/112 + i/(-14) and 12?
132
Calculate the common denominator of -45 and (-265)/785*(-17)/(-68).
628
Calculate the smallest common multiple of 21 and ((-57)/(-2))/((-24)/(-48)).
399
Let l = -4715/9 - -523. What is the common denominator of l and -41/64?
576
Let b = -2157 - -2205. Calculate the lowest common multiple of 168 and b.
336
Let p(d) = -d + 5. Let k be (-6)/(-4)*6/9. Let v be -3*k*(-4)/4. What is the common denominator of -38 and p(v)?
1
Let f = 784/5 - 5693/35. Let r = 8186 + -515. Let s = 68963/9 - r. Calculate the common denominator of f and s.
63
Let q(r) = r**2 - 4*r + 2. Let x be q(9). Find the common denominator of 26/(-65)*(-530)/16 and x/(-2)*(-2)/8.
8
Let p(l) = 15*l**3 + l**2 - 2*l + 4. Let x(u) = 30*u**3 + 2*u**2 - 5*u + 9. Let k(j) = -9*p(j) + 4*x(j). Calculate the least common multiple of k(-1) and 6.
48
What is the lowest common multiple of (2 + -5 - 1 - 1) + 25 and 110?
220
Find the common denominator of (-3)/(-40)*(-264)/(-6) and -95/78.
390
Let b(m) = -m + 20. Let x be b(0). What is the smallest common multiple of 72 and 1*x/(-5) + 20?
144
Suppose 0 = -8*w - 12 + 28. Calculate the lowest common multiple of 18 and w - (-10 - 4/(-6)*-3).
126
Let s(y) = 2*y**3 + 20*y**2 - y - 7. Let t be s(-10). Suppose v - 23 = -t. Calculate the smallest common multiple of 10 and v.
20
Let a be (6/2)/(21/28). Suppose -4*h = d + 4*d - 25, -a*h = 0. Suppose -2*v = -g - 32, 0*v - d*g = 2*v - 8. Calculate the smallest common multiple of 10 and v.
70
Find the common denominator of (-34)/51*(-274)/(-8) and 143/30.
30
Let l = 325 + -1899. Let y = l - -17279/11. Let a = -45/56 - -2567/616. What is the common denominator of a and y?
11
Let i = 117 - 82. Suppose 0 = 3*c + 5*v + 7, -3*c - 2*c + v = -i. What is the smallest common multiple of c and 9?
18
Let g = 17/8 + -267/40. Find the common denominator of 11/6 and g.
60
Suppose o - 4*f = -10, -4*o + f + 23 = 3. Calculate the lowest common multiple of o and 69.
138
Suppose -5*y - 2*g = -22, -6*g + g - 26 = -y. Suppose x + 0*x = y. Calculate the smallest common multiple of x and 27.
54
Let r be -2*25/(-10)*(-1 + 0). Let q(s) = 2*s**3 + 12*s**2 + 7*s - 5. What is the least common multiple of q(r) and 4?
20
Suppose 3*u - 35 = 31. Find the common denominator of ((-11235)/252)/(15/(-6)) and u.
6
Let a = 23722 + -3321127/140. What is the common denominator of -57/70 and a?
140
Find the common denominator of 58/9 and (-160)/44*16/(-30).
99
Let v(m) = 2*m**3 + 14*m**2 + 12*m + 44. What is the smallest common multiple of v(-6) and 10?
220
Let q = 14 - 6. Suppose -2*a + q = 2*a. Let i = 16 + -6. What is the least common multiple of i and a?
10
Suppose 85 = q + 4*q. Calculate the least common multiple of q and (-6)/(-81) - 1745/(-135) - 5.
136
Suppose 0 = -2*b + 6 + 2. Let u = -1441 - -1445. Calculate the least common multiple of b and u.
4
Let k = -1 + 11. Let t(a) = a - 13. Let s be t(k).