Calculate the least common multiple of 297 and k.
297
Let r = -353 + 359. Calculate the lowest common multiple of r and 631.
3786
Let a = -44688/2195 + -18/439. Let m = -928/45 - a. Let i = -3188/3 + 1077. Find the common denominator of m and i.
9
Let c = -1928 + 8452. Let j = c - 195829/30. What is the common denominator of j and 91/10?
30
Let j = -31 + 22. Let d be 44/12 - 3/j. Suppose 31 + 49 = d*q. What is the lowest common multiple of 4 and q?
20
Let g = 14 + -14. Let i be -6*(-10)/15 + g. Suppose -2*a - i = -40. Calculate the lowest common multiple of a and 11.
198
What is the common denominator of (-114)/144*-10 - (-3)/(-1) and 5/63?
252
Suppose 0 = 25*a - 33*a - 24. What is the smallest common multiple of (-6 - -3) + (-15)/a and (16/6)/(2/15)?
20
Let v = 14027/4 + -3530. What is the common denominator of 61/32 and v?
32
Let b = -5/2 - -3. Let v = -1/4 - b. What is the common denominator of 15/14 and v?
28
Let i = -11 - -19. Suppose -i = -z + 7. Let s = 24 - z. Calculate the least common multiple of 6 and s.
18
Let m = -63 - 12. Let v = m + 81. Calculate the lowest common multiple of 27 and v.
54
Let p(y) = -91*y - 4. Let s be p(-1). Suppose -c + 134 = 5*h, s = 2*h - c + 32. Calculate the lowest common multiple of h and 15.
135
Let p = -52771/62656 - -135/178. Find the common denominator of p and 59/4.
704
Find the common denominator of 1/374 and (150/84 - 1)*-1.
2618
Suppose -3*h - 4*h = -21. Suppose 0 = 3*a - 18 - 9. Calculate the smallest common multiple of h and a.
9
Find the common denominator of ((-17)/(-510))/((-8)/(-1010)) and -4 - (-2 - 61/(-4)).
24
What is the common denominator of (-18)/(-81)*399/14 and -17/411?
411
Let u = -900 - -7149/8. Let g = -10/3 - 35/9. What is the common denominator of g and u?
72
Let u(j) = j + 2. Suppose 3*z + z = 52. Let b(c) = -c**3 + 12*c**2 + 15*c - 15. What is the lowest common multiple of b(z) and u(5)?
77
Suppose 0 = d + 5*s - 3*s - 46, 0 = -2*d - 3*s + 90. What is the least common multiple of d and 147?
294
Suppose 6*l - 3*l = 2*o + 8, 4*o - 24 = -4*l. Calculate the lowest common multiple of l and 1 - (0/(-2) + -9).
20
Suppose 4*w - 4*j + 4 = 8*w, 2*w - 23 = 5*j. Suppose 2*r - 80 = -3*r. Calculate the least common multiple of w and r.
16
Let u(b) = -b**2 + 20*b + 5. Let n(r) = 2*r**2 - 41*r - 9. Let v(s) = 3*n(s) + 5*u(s). Calculate the lowest common multiple of 20 and v(24).
220
Suppose 2*l + 4*x + 36 = 0, 0 = 2*x + 2*x + 16. Find the common denominator of -1 - (106/(-18))/(-1) and 7/(l*(0 + 4/16)).
45
Let l be (-5)/(75/(-12)) + (-95)/25. What is the common denominator of l/(-2 + -4) - 10/6 and -151/12?
12
Suppose 6*v - 57 = 21. What is the lowest common multiple of 27 and v?
351
Suppose i - 38 = 3*i. Let u be (9 + i)/(-1 + -1). Suppose 0 = -u*a - 4*c + 68, -4*a + 6 + 32 = -5*c. Calculate the smallest common multiple of 4 and a.
12
Let z = 3470 - 93704/27. Calculate the common denominator of z and -91/54.
54
Let x(l) = -l**2 - 9*l - 2. Let m be x(-9). Let g = 16 - m. What is the smallest common multiple of g and 4?
36
Suppose -8*k = -3*k - 20. Suppose k*x - 476 = -4*m, -5*x + 75 = m - 32. Calculate the common denominator of -53/11 and 2/(-20)*m + 2.
55
Let w = 157 - 149. Calculate the smallest common multiple of 640 and w.
640
Let j = 245714579/646 - 380363. Find the common denominator of 47/5 and j.
3230
Let o be 448/(-78) - (6 - 5). Let c = o - -1087/273. Calculate the common denominator of c and -70/33.
231
Let s = 1022/201 - 6/335. Let w = 1387/128 - 1/384. Calculate the common denominator of w and s.
30
Let t be 2/(-1) - (-1352)/(-42). Let s = t + 146/7. Let c = -973/9 - -107. Calculate the common denominator of s and c.
9
Suppose -5*p = -44 - 46. Calculate the least common multiple of (-144)/(-252) - 48/(-14) and p.
36
Suppose -4*t - 40 = -a, -3*t - a = 2*a + 15. Let o(h) = -4*h**2 - 10*h + 4. Let l be o(-4). Find the common denominator of t and 188/l - (-10)/(-5).
5
Let h = 867 + -345. Calculate the least common multiple of h and 14.
3654
Suppose -21*u + 27*u = 0. Suppose 5*a - 47 - 3 = u. What is the least common multiple of a and 4?
20
Let y = -2/173 + -8123/692. Let v be ((-70)/(-8))/((-3)/(-12)). Calculate the common denominator of y and 2 + v/(-11) + 1.
44
Let s = 4 + -5. What is the smallest common multiple of (36/8 - 3)/(9/24) and 4 + -3 + (0 - s)?
4
Let f = 66514/27 + -2464. Find the common denominator of -1/75 and f.
675
Let r(c) = c**2 + 3*c - 10. Let m be r(-7). Suppose -5*t = -m + 8. Calculate the common denominator of 52/(-6) + (t - 2) and 21/8.
24
Let r be (4/(-70))/((-60)/4925). Let k = -62/7 + r. Suppose 77 + 1 = 2*y. Calculate the common denominator of k and y.
6
Let l = 40 - 35. Suppose 0 = 4*d - 4*i - 72, 3*d - 4*i = d + 42. Let x = d - l. What is the least common multiple of x and 8?
40
Suppose 3*i = 2*a + 3*a - 22, -3*i - 2 = 5*a. Suppose a*z - 19 = 1. Calculate the least common multiple of 3 and z.
30
Let b be -3 - (10546/1624 + -1). Let p = b + -9/116. Let c = p + -44/21. Find the common denominator of 91/4 and c.
12
Let b be (-5)/(-30) - (-17)/6. Suppose b*n + 3 - 24 = -3*j, j + 29 = 5*n. Calculate the least common multiple of n and (4/(-8))/(2/(-72)).
18
Calculate the common denominator of (-18)/(-12) - 8/(3168/447) and -65/24.
264
Let p = 5 + -12. Let c be 4/14 - (-86)/p. Let z = -5 - c. Calculate the least common multiple of 9 and z.
63
Calculate the lowest common multiple of (54/(-7))/(2/(448/(-12))) and 22.
1584
Let q = 14115 + -2093. Let b = -529065/44 + q. Calculate the common denominator of -123/20 and b.
220
Let z = -4257/8 - -539. What is the common denominator of z and ((-23)/8)/(252/112)?
72
Calculate the common denominator of ((-576)/44 - -9) + 5 and 29/15.
165
Let w(f) = 4428*f. Let i be w(1). Let a = i - 26453/6. What is the common denominator of -3 + ((-201)/(-48) + -4)/((-117)/(-2782)) and a?
24
Let u(r) = r**2 - 8*r - 8. Let z(t) = t**3 + 4*t**2 - t - 2. Let l be z(-3). Calculate the lowest common multiple of u(l) and 58.
348
Let z(k) = -k**3 - 11*k**2 - 7*k + 31. What is the smallest common multiple of z(-10) and 10?
10
Suppose -10 = -5*i - 0. Suppose -3*h - i*x - 2*x = -9, 0 = -5*x. Suppose -h*c + 63 = 9. What is the smallest common multiple of c and 8?
72
Let z be -4*9/(-12) - 2. Suppose -z - 9 = -5*g. What is the lowest common multiple of g and 7?
14
Let k = 1276 + -1269. Calculate the smallest common multiple of k and 157.
1099
Find the common denominator of -3 + ((-11400)/234)/(-10) and 31/7.
273
Let m = -7 - -87. Let u(y) = y**2 + 43*y - 218. What is the lowest common multiple of u(5) and m?
880
Let s = -9/223 + -4584/2453. What is the common denominator of s and ((-48)/9)/((-80)/72)?
55
Let d(v) = v**2 - 2*v - 2. Let g be d(4). Suppose -2*b = -g*b + 24. Suppose 0 = b*j - 1 - 5. Calculate the lowest common multiple of 2 and j.
2
Let l(d) be the second derivative of d**5/10 + 3*d**4/4 - 5*d**2 - 12*d. What is the smallest common multiple of (-41)/(-4) + (-2)/8 and l(-4)?
30
Suppose -4 - 16 = -5*a. Suppose 0 = -3*w + 3*n + 87, -n + 35 = 2*w - 26. Suppose w = 3*t + 2*t. What is the lowest common multiple of t and a?
12
Calculate the lowest common multiple of 219 and (-7 - 15 - -16)/(-2 + 1).
438
Suppose 1 = 5*g - 59. Find the common denominator of 5 - 2 - (-27)/(-8) and (-34)/g*5 - 3.
24
Suppose -21*p = -26*p + 10. What is the lowest common multiple of 94 and p?
94
Suppose 0 = -3*x - 4*t + 26, -3*t - 4 = -2*x + 2. Suppose 0 = -a - 4*v + 8, -10 = -5*a + 4*v + x. Calculate the lowest common multiple of a and 16.
16
Let z be (2/3)/(2/(-15)). Let c be -3*1/1 - z. Suppose -95 = -c*m - 15. What is the common denominator of m and 19/11?
11
Let f = 16591766676621/1484 + -11180434981. Let b = f + -10993/14. Find the common denominator of 107/10 and b.
1060
Let o(q) = -q**3 - 12*q**2 - 40*q. Calculate the lowest common multiple of 120 and o(-10).
600
Suppose -11*a + 21*a = 16510. Let w = a + -13179/8. Calculate the common denominator of w and -44/5.
40
Suppose 2*z - 7*z = 0. Let t(h) = -h**2 + 9*h + 4. Let y be t(9). Suppose z = 3*f - 19 + y. What is the least common multiple of f and 5?
5
Suppose 5*n - 204 = 4*d, -8*d + 196 = 4*n - 3*d. Let k = 6 + 6. Calculate the lowest common multiple of n and k.
132
Let n = 2806/5 - 563. Find the common 