 the least common multiple of c and 20.
24920
Let j(o) = 4*o**3 - 49*o**2 + 114*o + 27. Calculate the smallest common multiple of 3 and j(11).
2028
Suppose -4*k - 14618 = 8*r - 10*r, -36597 = -5*r - 3*k. What is the lowest common multiple of r and 162?
43902
Let s = 52 + -50. Let o be s/11 + 1690/22. Let u = -68 + o. What is the smallest common multiple of u and 3?
9
Let p = 9341/15972 + -2/1331. What is the common denominator of -109/9790 and p?
58740
Suppose -3814*h + 3840*h = 22334. What is the smallest common multiple of 3 and h?
2577
Let w = 152540 + -303348. Let n be (w/420)/(0 + (-8)/(-6)). Let o = 271 + n. What is the common denominator of 57/2 and o?
10
Let y = -5280 + 7728. Let z = 110146/45 - y. What is the common denominator of z and 26/55?
495
Let u = -2733 + 13612/5. Let c be (-3)/15*-2*250/233. Let n = c + 16907/3495. Calculate the common denominator of n and u.
15
Let q = 2969 - 2957. What is the lowest common multiple of q and 48?
48
Let m = 4 - -12. Let p = -104 - -36. Let z = p - -76. What is the lowest common multiple of m and z?
16
Suppose -8*c + 543 = i, 100*i = 104*i - 5*c - 2283. Calculate the lowest common multiple of 210 and i.
5670
Suppose -49*s - 216 = -47*s. Let g = -97 - s. Calculate the common denominator of 113/(-3)*g/(-44) and -109/24.
24
Suppose 25*d + 41*d - 20*d = 126960. What is the least common multiple of 1560 and d?
35880
Suppose -2*v + 4 = -3*b - 1, 4*b + 2*v + 2 = 0. What is the common denominator of ((-6283)/(-4392))/(b/3) and -41/20?
120
Let b = -2755 - -52357/19. What is the common denominator of b and 21/836?
836
Let u(j) = j**2 + 7*j + 2. Let s be u(-7). Suppose 24 = -53*v + 55*v. What is the least common multiple of 3 + -5 + (s - -2) and v?
12
Let l = 24298 - 1700891/70. What is the common denominator of -87/2810 and l?
19670
Suppose 8*d + 16 + 16 = 0. Calculate the common denominator of (-2 - d/32)/((-27)/(-3)) and (-2)/(-6) + 111/6.
24
What is the common denominator of 4 - -539*(-2)/(-8)*61/(-2257) and -33/2627?
10508
Suppose -5*h = 21 - 741. Suppose h = 2*g - 0*g. Suppose -8*c + g = 4*c. Calculate the least common multiple of 4 and c.
12
Let n = -323/53 - -60517/10017. Find the common denominator of n and -40/63.
189
Let y(c) = 32*c - 2088. Calculate the least common multiple of y(66) and 1206.
4824
Let q be (2 - 3)*(-9)/9. Find the common denominator of 3 + (-26)/108 - (q - -3) and 103/48.
432
Let z be 4701825/5040 - (-4)/14. Let i = 938 - z. Calculate the common denominator of 39/164 and i.
656
Let w(d) = -5*d**2 + 52*d + 9. Let p be w(11). Calculate the least common multiple of -2*p/(-16)*-3 and 3.
9
Let p = -19307/2798 + 2/6995. What is the common denominator of p and 910/(-20) - (3 + -3)?
10
Suppose 29*a = 31*a + 70. Let s = -33445/9 + 3710. What is the common denominator of a and s?
9
Let r(d) = -2*d + 13. Let x be r(-6). Suppose -y - 26 = x. What is the common denominator of 63/10 and ((-3)/2)/(y/(-187))?
10
Let d = 41/279 - -1390/30411. Let h = 1841/1635 - d. Find the common denominator of 13/237 and h.
1185
Let o be (-5401)/8*(-92)/10. Let h = 6217 - o. Let p = -229671/20 - -11488. What is the common denominator of h and p?
20
Suppose 2*h + 0 = 10, h + 220 = -5*z. What is the lowest common multiple of (-6)/z + 88/15 and (22 + -1)/(15/45)?
126
Let t be 6/18 - 23/(-3) - -2. Let w(j) = 2*j**2 - 17*j - 29. What is the least common multiple of w(t) and 9?
9
Suppose 44*k - 2776 = 36*k. Let r = k - 333. Calculate the smallest common multiple of r and 1.
14
Let i be 264 - -3 - (2 + -2). Let d = -252 + i. What is the least common multiple of (-4)/(-18) - (-16)/9 and d?
30
Calculate the smallest common multiple of (6 - -13) + -8 + 250 and 174.
522
Let m = 1/11752 - -1739289/82264. Let x = m + -1027/35. What is the common denominator of x and -8*(3 + (-168)/49)?
35
Let o = 27058 - 27014. What is the smallest common multiple of o and 356?
3916
Let o = 4975 - 4963. What is the smallest common multiple of o and 726?
1452
Let r be 21524/19728 + -1 + (-21)/(-12). Let a = 1852493/6165 - r. Let k = a - 3057/10. Calculate the common denominator of -119/20 and k.
180
Calculate the common denominator of -6 - (86053/5335 + -10)/(-1) and 25/44.
21340
Suppose -2*s = o + 989, o - 2*s + 983 = -6*s. Let n = o - -6019/6. Find the common denominator of 73/442 and n.
1326
Let w(y) = -2*y**2 - 48*y - 42. Let b be w(-23). Suppose 3*x = -2*x - 5*q + 30, x - q - b = 0. Calculate the lowest common multiple of x and 6.
30
Let n = 40069 + -721201/18. What is the common denominator of -1 + 0 - (-302)/126 and n?
126
Let h = -1/9198 + -40367/18396. What is the common denominator of 18/(-522) + 2343/(-174) and h?
36
Suppose 5*u = -3*w + 5*w + 3354, -5*w = -5*u + 3360. What is the least common multiple of 737 and u?
7370
Calculate the common denominator of 17/1176 and 172/(-112) + 1 - (-34)/187.
12936
Let d = -661597/33 - -20050. Let g(i) = -i**3 + 9*i**2 - 14*i + 22. Let p be g(5). Find the common denominator of (-39)/p*(-534)/81 and d.
198
Let n = 218426863/1770 - 123405. Calculate the common denominator of 4/9 and n.
5310
Let q = -1583555287/2212 + 715893. What is the common denominator of q and 85/98?
15484
Let m(n) = n**3 - 5*n**2 - 5. Let d be m(5). Let g = -1585/44 + 168/11. Calculate the common denominator of g and (-158)/6*5/(-125)*d.
60
Let i be (8 + 1)*(-1)/(-3). Suppose -i*h + 10 = -2*h. What is the lowest common multiple of (40/22)/((-36)/(-396)) and h?
20
Let z(o) = -2*o**2 - 65*o + 81. Let u be z(-34). What is the common denominator of 31/28 and 146/u*78/208?
28
Let t = 8418 - 8034. What is the least common multiple of t and 48?
384
Let r be (-424058)/(-120) - 5 - 4/10. Let x = -3535 + r. Find the common denominator of 47/20 and x.
60
Suppose 5*f - 121 = 32*b - 35*b, -2*b + f + 98 = 0. Calculate the lowest common multiple of b and 43.
2021
Let y = 473 + -477. What is the smallest common multiple of 14 and y/(-10) + -1 - (-388)/5?
154
Let n be -17 + 15 + (0 - -1). Let o = 28843/12 - 2405. Find the common denominator of o and (-14)/(-10) + n + 66/80.
120
Suppose 6*r = 124 - 34. Suppose -4*t + 8 + 12 = 0. Suppose -u + r = -5*n, 0 = -u - 2*n + 3 + t. Calculate the least common multiple of u and 7.
70
Let g(l) = l**3 + 8*l**2 - 2*l - 4. Suppose 56 = -6*u - u. Let x be g(u). Suppose 4 + x = 2*d. Calculate the smallest common multiple of d and 16.
16
Suppose 5*s = s - 920. Let c = 94319/16 + -5893. What is the common denominator of (-6)/(-8)*s/(-15) and c?
16
Let j(x) = x**2 + 15*x + 16. Let n be j(-14). Let o(w) = w**3 + 3*w**2 - w - 2. What is the smallest common multiple of o(-2) and ((-16)/12)/((n + -3)/27)?
36
Let i = -154637899/1215 + 127274. Find the common denominator of -20/2187 and i.
10935
Let h = -266929/5 + 607530059/11380. Find the common denominator of h and -55/6.
6828
Suppose 2*b - 34 = -100. Let t be ((-6)/4)/(b/88). Calculate the common denominator of 260/(-440) - t/(-2) and 89/46.
506
Suppose -121*h = -106*h - 2700. What is the smallest common multiple of h and 792?
3960
Calculate the common denominator of 73/192 and -1 - 774995/(-853440) - (-5)/(105/2).
24384
Suppose -8 = -4*j, l - 2*j = 4*l + 98. Let c be 26/(-195) - 388/15. Let b = c - l. Calculate the smallest common multiple of 6 and b.
24
Let p(a) = 13*a**2 + a. Let u(t) = -t**3 + 3*t**2 + 144*t + 427. Calculate the least common multiple of u(-3) and p(1).
98
Let t(p) be the second derivative of p**4 - p**3/6 - p**2/2 - 72*p. What is the smallest common multiple of t(-1) and 12?
12
Let g be ((-44)/(-3))/(4/6). Suppose 2*d = 4*u, -3*d = 3*u - g + 4. Calculate the smallest common multiple of 59/3 - ((-6)/9)/u and 28.
140
Let o(w) = -2*w**2 - 118*w + 1040. Calculate the smallest common multiple of o(-52) and 1224.
15912
Let a(y) = -1845*y - 15. Let r be a(1). Let k = 12982/7 + r. Calculate the common denominator of -83/14 and k.
14
Find the common denominator of 1/((-468)/(-1683)) - 4 and 103/40.
520
Let s(g) = -262*g + 6600. Suppose a - 30 = -2*a. What is the least common multiple of s(25) and a?
50
Let o(z) = 9*z**2 + 5*z + 6. Suppose l = 3*w + 9, 3*w - 7 - 20 = -3*l. Calculate the least common multiple of l and o(-3).
72
Suppose 891442 = -3*x + 9*r - 13*r, 0 = -5*x + 5*r - 1485795. Let p = x + 92711947/312. Calculate the common denominat