 - 6*w - 5. Let m be f(-6). Let n = -31 - m. What is the least common multiple of 23 and n?
230
Let o = -577 + 274. Let w be 3/7 + o/21. Let q = 20 + w. Calculate the lowest common multiple of q and 14.
42
Find the common denominator of 45 and (7 + 533/(-156))/((-9)/4).
27
Let m = -5 - -12. Let f = -3 + m. What is the least common multiple of 18 and (-330)/(-40) + (-1)/f?
72
Let z = -125505/16 + 7839. Find the common denominator of z and (-2)/(-156)*(12 + (-5 - -8)).
208
Let v(f) = -161*f + 20. Let q = 18 + 26. Calculate the smallest common multiple of v(0) and q.
220
Suppose -4*j - 2*o - 1056 = -j, 3*o = -j - 359. Let v = j - -3853/11. Find the common denominator of v and 1/2.
22
Suppose 5*k = -3*d + d + 71, -2*d = k - 19. Let y(z) = z**2 - 1531*z + 1544*z + 10*z**2 + z**2 + 1 - z**3. Calculate the smallest common multiple of 1 and y(k).
1
Calculate the common denominator of 31/51 and ((-3064)/(-224) - 14)*(-4)/17.
357
Let x = 16 - -2. What is the least common multiple of x and 12 - (-6)/(-9)*(-4 + -2)?
144
Calculate the smallest common multiple of (-24)/180 + ((-904)/(-30) - 2) and 154.
308
Suppose 0 = -4*k - 53 + 165. Suppose 0 = -203*b + 686 + 1547. What is the smallest common multiple of b and k?
308
Let c(g) = -g**2 + 8*g - 9. Let p = 16 - 15. What is the least common multiple of c(4) and p?
7
Find the common denominator of -107/90 and (10 - 64/8) + 194/36.
90
Let i(n) = n**2 - 2*n - 3. Let j be i(-3). Let g = 2 + j. Suppose 3*h + 2*q - 57 = 3*q, -5*h = 5*q - 75. Calculate the smallest common multiple of h and g.
126
Suppose -j = -3*j + 124. Find the common denominator of (-340)/24 - 0 - -2 and (-5)/20*1*j.
6
Calculate the least common multiple of (455/26)/(-7)*156/(-10) and 63.
819
Calculate the common denominator of 25/18 and (-71)/(-7)*((-8)/6 + 1).
126
Suppose -i - 2*i - 528 = -2*m, -m - i + 269 = 0. Calculate the least common multiple of m and 45.
4005
Suppose 0*p + 3*p = 3. Let y be p - 1/((-1)/5). Let i = 6 + y. What is the smallest common multiple of i and 50?
300
Let d = -37539108071/412548 + 11284555/124. Let k = d - -1/1109. What is the common denominator of k and 53/16?
48
Let j(d) = d**2 + 6*d + 3. Let f be j(-6). Suppose -x - f*r + r + 14 = 0, 5*x - 45 = -5*r. Calculate the lowest common multiple of (-1 - 2 - x)*-2 and 8.
56
Let r = -13 + 12. Let l be (-2903556)/8*r/(-42). Let i = -8640 - l. Calculate the common denominator of 107/22 and i.
308
Let w(l) = l**3 + 2*l**2 - 2*l - 2. Let v be w(-2). Suppose -18 = -o + 3*s, -v*o - 2*s + 24 = -4*s. What is the smallest common multiple of o and 6?
18
Let g(l) = 3*l + 20. Let s be g(-5). What is the common denominator of 71/106 and ((5/5)/s)/(8/930)?
212
Let p = 4 - 0. Let c(n) = n**2 + 9*n + 10. Let z be c(-7). Let j(q) = 2*q**2 + 4*q - 8. What is the least common multiple of j(z) and p?
8
Let x(w) be the third derivative of 1/60*w**5 + 4/3*w**3 + 0 + 9*w**2 + 0*w + 1/24*w**4. What is the smallest common multiple of 16 and x(0)?
16
Let l = 59 - 490/9. Calculate the common denominator of l and (4 - (6 - 0))/((64/28)/(-2)).
36
Suppose 3*d - 444 = 4*l, -4*d + 69*l = 74*l - 561. What is the least common multiple of d and 40?
720
Calculate the common denominator of -41/39 and 12/(-16)*((-535)/405 + 3).
351
Let p = -874 + -258. Let l = 1845639958/1624293 + -11/147663. Let f = p + l. Calculate the common denominator of 22/7 and f.
77
Suppose -2*f + 403638 = -4*f. Let t be f/66 + -1 + 2. Let n = 3054 + t. Calculate the common denominator of n and 97/18.
198
Let k be 6 - -3 - 3*-1. Find the common denominator of -2 - (-309)/k*2 and 1/11.
22
Suppose -5*d + 0*a + 46 = a, -18 = -3*d - 3*a. What is the least common multiple of 10 and d?
10
Let r = 99916/27 - 3703. What is the common denominator of r and 7/11?
297
Let b = -807 - -4931/6. Calculate the common denominator of 61/12 and b.
12
Let a = 15 + -7. Let h = -4693 + 3093. What is the lowest common multiple of a and h/(-60) - 4/6?
104
Suppose 23 + 137 = -8*y. Let o = -17 - y. Calculate the lowest common multiple of o and 2.
6
Let c = 2/2809 + 5612/8427. Calculate the common denominator of 1 - ((-61)/10 + 0) and c.
30
Let y be ((-5)/(-3))/((-5)/(-75)). Let l = y + -3. Calculate the common denominator of 31/(-2)*(-4)/l and -9/10.
110
Let c = -44531 + 29503. Let s be (-541118)/(-36) - -1 - 0. Let i = s + c. Find the common denominator of i and -31/10.
90
Find the common denominator of ((-169)/10)/(24/80*14) and 77/50.
1050
Let n = 73243089/280 - 261582. Find the common denominator of n and -79/20.
280
Suppose -5*l = -2 - 13. Suppose -l*h - 5*u + 81 = 0, u + 41 = 3*h - h. What is the smallest common multiple of h and 22?
22
Let m be (0 - (-44)/(-8))*-16. Find the common denominator of (22/m)/((-4)/(-86)) and -55/2.
8
Let w(k) = 9*k**3 + 1 - k - 1. Let s(n) = 4*n**2 + 10*n - 8. What is the lowest common multiple of s(1) and w(1)?
24
Suppose -30*d + 25*d + 549 = 4*i, -3*d = -4*i + 509. Calculate the smallest common multiple of i and 2.
262
Suppose 2*n = 2*l - 82, 2*l + 50 - 147 = -3*n. What is the lowest common multiple of 176 and l?
176
Suppose -4*b = 5*o - 10, 3*b - 4*o = 2 - 10. Let t = b + 2. What is the lowest common multiple of 3/(-15)*0 - -5 and t?
10
Let h = -6602047/110 - -247051/5. Let j = h - -10604. Find the common denominator of j and 143/96.
1056
Let p(b) = 5*b**2 - 15*b - 9*b - 1 + 25*b. Suppose 9 = 3*a - 6. What is the least common multiple of p(1) and a?
5
Let w(v) = 5*v. Let c be -3 - -20 - (-4 - -1). Suppose -16 - c = -2*b. What is the lowest common multiple of w(4) and b?
180
Suppose 111 = -3*l + 6*l - 4*w, -4*l + 4*w + 144 = 0. What is the lowest common multiple of l and 15?
165
Let f(b) be the first derivative of -b**3/3 - 3*b**2 + 6*b + 1. Let n be f(-5). Let q = n + -3. What is the least common multiple of q and 1?
8
Suppose 18 - 10 = 2*o. Suppose -o*h = 62 - 282. What is the least common multiple of h and 20?
220
Suppose -5*m + 18 = 4*l - 6, 22 = 5*m + 2*l. Suppose m*n - 164 = -4*k, n - 5*k - 115 = -2*n. Calculate the least common multiple of 8 and n.
40
Let s = -1823 + 1877. What is the least common multiple of s and 99?
594
Let v = 3 - 2. Suppose 3*m = o - 6, -4*o - 13 = 3*m - 37. Calculate the least common multiple of o and v.
6
Let w(p) = p**2 - 9*p + 16. Let i be w(7). What is the common denominator of (-6)/((-2)/i + 177/(-120)) and 5/18?
198
Let p be 1*16/6*12. Suppose -19 = 2*o - i + 10, o - 4*i + p = 0. What is the lowest common multiple of 10 and (27/(-15))/(o/40)?
30
Suppose 7 + 1 = -2*t + 2*v, -5 = -t - 2*v. Let b(x) = -5*x**2 + 26*x**2 - 20*x**2 - 2*x - 1. What is the least common multiple of b(t) and 14?
14
Let d = -9 - 41. What is the common denominator of 10/d*(-12)/2 and -17/6?
30
Let k = 524/25 - 11483/550. What is the common denominator of k and 33/100?
1100
Suppose -4*t - 4*k = -84, t + 2*k - 21 = -0*t. Let i be (t/(-6))/(2/(-4)). Let l = -5 + i. What is the smallest common multiple of l and 11?
22
Let k(c) = 6*c + 286. What is the lowest common multiple of 7 and k(-45)?
112
Suppose 6 = -2*j, 3*j + 5 = -h - 10. Find the common denominator of -73/30 and (-1)/5 - ((-609)/270 + h).
90
Suppose -146 + 74 = -18*b. Calculate the lowest common multiple of 32 and b.
32
Suppose 0 = 14*m + 6*m - 1620. Calculate the least common multiple of 6 and m.
162
What is the least common multiple of 144 and (18/8)/(((-686)/(-168))/49)?
432
Suppose -4*a + u - 156 = 0, u + 0*u + 39 = -a. What is the common denominator of 404/(-77) + (-2)/11 and (-3395)/520 - 6/a?
56
Let c = -13383965/192 - -69708. What is the common denominator of c and -95/22?
2112
Suppose 16*f - 21*f + 28630 = 0. Let u = f - 57313/10. What is the common denominator of -119/10 and u?
10
Let s = -48 - -48. Calculate the least common multiple of (-7 - s)/((-2)/4) and 10.
70
Let l be 55 + -4*3/6. Let o = -30 + l. Calculate the common denominator of o and 11/6.
6
Let l(k) = 5*k - 4. Let y be l(-1). Let z = y + 27. Calculate the lowest common multiple of z and 9.
18
Let d = 21199/494 + -589/13. Find the common denominator of 65/22 and d.
418
Let o(b) = b**3 + 11*b**2 - 35*b - 29. Let h be o(-25). Let q = h + 260858/33. Calculate the common denominator of q and -64/3.
33
Suppose 3 = -0*c + c. Suppose -3*m - 3 = -3*q, c*q = -2*m - 15 - 2. Calculate the common d