102).
110
Suppose -28*k = -205 - 355. Calculate the lowest common multiple of k and 121.
2420
Let c be 14/35 + (-463)/970. Let v = 2533/485 - c. What is the common denominator of v and 109/6?
30
Let x = -967737/32 - -30238. Let z = 347/160 - x. Find the common denominator of z and 35/32.
160
Let l(v) = v - 2. Let r be l(2). Let w(k) = k**3 + 8 + 6*k - 10*k**2 + 2*k**2 + r*k. What is the least common multiple of 5 and w(7)?
5
Let d be 9172/(-1170) + -3 + 2 + 3. Let w = 16/585 - d. Find the common denominator of -55/12 and w.
60
Suppose 3*i = -i + 3*v - 23, 3*v = 3*i + 18. Let x = 22/25 - 323/225. Find the common denominator of x and 1*(-27 + (i - -1)).
9
Find the common denominator of 10/(-105)*309/4 and 151/42.
42
Let z = 4717/644 + -189/23. Find the common denominator of z and (104 + -1)/((-18)/3).
84
Let t be 1/2 - (-11730)/(-1284). Let q = 39655/3638 + t. Let o = -317/2 + 176. What is the common denominator of o and q?
34
Let v = 5937 - 326489/55. Calculate the common denominator of 48/9*(-2)/(-120)*3 and v.
165
Find the common denominator of 28/(-140) + (-184)/(-1045) and -93/4.
836
Let r = -1558177/98 - -15900. Let c = 1/301 - 2111/1204. What is the common denominator of c and r?
196
Suppose -17*m = -305 + 33. What is the smallest common multiple of 160 and m?
160
Suppose -4 - 4 = -4*r. Suppose k + 2*w - 3 = w, -r*w - 14 = -3*k. What is the lowest common multiple of k and 8 + (-11)/2 + (-5)/(40/(-12))?
4
Let c = -27657/16 - -1723. What is the common denominator of 155/126 and c?
1008
Suppose 5*o + 2*k = 26, 3*k + 4 = 2*o + 5. Let n = 28 - 19. Suppose 0 = 2*u + 3*f - n, 3 = -3*u + 5*f + 26. What is the lowest common multiple of o and u?
12
Let w be 3 - (18 + -2)/4. Let c = 4 - 6. Calculate the smallest common multiple of 22 and c - -3 - w*21.
22
Let a = -64 + 70. Let w be 1/(3/(3 + 78)). Calculate the lowest common multiple of a and w*((-22)/(-6) - 3).
18
Let h = -1987/14444 + -4/157. What is the common denominator of 7/23 and h?
92
Let n(t) be the second derivative of t**5/20 + t**4/4 - 17*t**3/6 + 31*t + 1. Calculate the lowest common multiple of 30 and n(-5).
210
Suppose 0 = -s + 5*s + 28. Let v = s + 5. Find the common denominator of ((-29)/16 - v)*54 and 43/3.
24
Let y = 183/37 - 1765/888. Let k = 1841/3201 + 3/97. Find the common denominator of y and k.
264
Let d(f) = 11*f**3 + 3*f**2 - 2*f + 2. Let s be d(3). Calculate the common denominator of -11/10 and (-2)/4 - 470/s.
160
Let g = -37711136964 - -207486674954567/5502. Let a = -1581/14 - g. Let m = a - -18056/4323. What is the common denominator of m and 107/10?
110
Suppose 16505 = -n + 6*n. Let z = n - 33071/10. Let t = -2540 + 10097/4. Find the common denominator of t and z.
20
Let r = -1273643/380180 + 2/19009. What is the common denominator of 45/1498 and r?
14980
Let c be 170110/1396*2/(-50). Let f = -8608/3 + 3004219/1047. Let w = f - c. What is the common denominator of w and -91/18?
90
Let n = 212 - 136. Calculate the least common multiple of n and 57.
228
Let z = -685 - -690. Calculate the smallest common multiple of (14/6)/(1/3) and z.
35
Let q be ((-18)/7)/(4/280). Calculate the common denominator of 2/6 - (-1250)/q and 3/10.
90
Let s(c) be the first derivative of -c**4/4 - 2*c**3/3 + c**2/2 - 14. Calculate the smallest common multiple of 3 and s(-3).
6
Let o = -908594/65 + 13978. Calculate the common denominator of 8/117 and o.
585
Suppose -3*b + 8*l - 9*l + 8 = 0, 2*b - 2*l - 8 = 0. Let n = 10 + -6. Calculate the least common multiple of b and n.
12
Let r = -4 + 0. Let w(b) = -b**3 - 3*b**2 + 4*b + 4. What is the smallest common multiple of 10/((-2)/(-2))*2/4 and w(r)?
20
Let s(x) = 17*x**2 - 1. Let a be s(3). Find the common denominator of (-2)/(4*-1) - (-114)/9 and 2/a - (-3)/12.
114
Suppose -10*j + 15 = -5*j. Let o = -17 + j. Find the common denominator of 2/o - (-1893)/(-420) and 3/20.
20
Let p = 147 - 138. Calculate the smallest common multiple of 520 and (-13)/(-3) - 3/p.
520
Let h = 603/14 + -321/7. Let k = 304757/49580 + 8/2479. What is the common denominator of h and k?
140
Let z(a) = -a**2 + 9*a - 10. Let o be z(7). Suppose n - 8 = b, 2*b - 3*b = -o*n + 2. Let p(f) = -f - 2. What is the least common multiple of 16 and p(b)?
16
Let z(p) = 4*p. Let f(r) = -r**3 + 15*r**2 + 4. Let k(i) = -i**3 + 5*i**2 + 4*i - 5. Let v be k(5). What is the lowest common multiple of f(v) and z(2)?
8
Let w(v) = -v**3 - v**2 + 35*v - 29. Calculate the smallest common multiple of w(-7) and 24.
120
Let y(r) = r**3 + 5*r**2 - r - 3. What is the least common multiple of y(-5) and 49?
98
Let r be (-5)/(-3*4/12). Suppose -r*h + y + 7 = -2*y, y - 7 = -3*h. Calculate the least common multiple of 2 and h.
2
Suppose -w - q + 0*q = -10, -q = 0. Let n be 13 - (-4)/((-8)/(-6)). Let l = -10 + n. Calculate the lowest common multiple of w and l.
30
Let y(z) = 39*z**2 + z - 1. Suppose 59*x = -13*x - x + 219. What is the smallest common multiple of x and y(1)?
39
Let s = 435 - 415. What is the least common multiple of s and 6?
60
Let n = 2 + 0. Suppose 4 = 2*s, -f - 5*s + 9 = -23. Calculate the lowest common multiple of f/5 - 2/5 and n.
4
Let f = -74796 - -11518665/154. What is the common denominator of 15/22 and f?
154
Let j = -11779/5 - -353501/150. Find the common denominator of j and -32/45.
450
Let d = -3608 - -14359/4. Calculate the common denominator of 1/(-5) + 1/(-2) and d.
20
Let j = 5303/4530 - 3/755. Calculate the common denominator of j and 81/322.
966
Let w(k) = 2534*k**2 - 2. Let t be w(-2). Let j = -212858/21 + t. What is the common denominator of 107/6 and j?
42
Suppose -12*u + 168 = 9*u. What is the lowest common multiple of (-2 - -35) + (3 - 2) and u?
136
Suppose -187 + 502 = 7*c. What is the smallest common multiple of 6 and (-8)/(-36) - (-800)/c?
18
Let g = -10 + 15. Calculate the least common multiple of -2 + 0 + -1 + g and (6/(-9))/(6/(-99)).
22
Calculate the smallest common multiple of 11 and 133 + -132 - (-1 - 141).
143
Suppose 0 = -3*a - 5*o - 2, -4*o = -10*a + 5*a + 46. Find the common denominator of (1/(-25))/(((-12)/235)/a) and 1/18.
90
Let y(u) be the first derivative of u**2 - 7. What is the least common multiple of y(4) and 6?
24
Suppose -2*u + 6 = -u. Suppose 4*q = -u + 58. Suppose 4*v + q = 61. Calculate the smallest common multiple of 8 and v.
24
Let r(p) = p**3 - 6*p**2 + 5*p + 4. Let t be (-1 - -1) + (10 - -2). Let d = 6 + t. Calculate the least common multiple of d and r(5).
36
Let f = 4 - 10. Find the common denominator of (72/(-640))/(f/(-104)) and -79/14.
140
Find the common denominator of ((-1271)/(-82))/((-5)/(-2)) and 43/7.
35
Calculate the smallest common multiple of 174 and -4*(-9)/(-15)*510/(-68).
522
Let q = 1779/7 - 252. Find the common denominator of 17/43 and q.
301
Suppose -18*v - 176 = -26*v. What is the lowest common multiple of 66 and v?
66
Calculate the smallest common multiple of -2*(44/22 - 9*3) and 150.
150
Let x = -1528948 - -1680314672/1099. Let o = -104077025/19782 - x. Let q = -5265 - o. What is the common denominator of q and -79/16?
144
Let l = 393 + -353. Calculate the least common multiple of l and (5/10)/((-1)/(-48)).
120
Let s be 2*-1 - (-2694)/(-2007). Let h = 2/223 + s. Find the common denominator of h and 115/12.
12
Let b(c) = 2*c - 12. What is the least common multiple of b(8) and (108/(-28) - 2/14) + 32?
28
Let t = 47/464 + -31109/16240. What is the common denominator of -25/7 and t?
70
Suppose u - 3 = -2*d, d - 3*u + 15 = 2*u. What is the common denominator of 2*(d + (-110)/12) and 31/11?
33
Calculate the lowest common multiple of 8178/(-188)*(1 + (-7)/3) and 2.
58
Suppose 5*k - 7 - 8 = 0. Suppose -2 = k*f - 14. Calculate the lowest common multiple of f and 11.
44
Let q be 334*(3 + (-3684)/224). Let p = q + 18211/4. Let c = p - 7513/112. Find the common denominator of c and -39/22.
176
Let p = -49 + 79. Find the common denominator of (p/80)/((-18)/(-808)) and -67/24.
24
Let v = -49543 + 8174549/165. Find the common denominator of v and 61/99.
495
Suppose 0 = h + 5*h - 54. Suppose -6*o - 12 = -h*o. Calculate the least common multiple of o and 10.
20
Let o = 4845 - 135631/28. Suppose -63 = 2*d - 51. Find the common denominator of ((-30)/(-12))/(d/17) and o.
84
Let o = 4 + -4. Suppose o = -4*w + 9 + 35. What is the least co