 2*q - 576 = -j*q. What is the common denominator of (-1)/14*-4*(-618)/q and -91/24?
168
Let j(k) be the first derivative of k**3 - 13*k**2 + 12*k - 146. Calculate the least common multiple of 18 and j(9).
126
Calculate the common denominator of 3/24*(-123)/(-5) and (-1)/(25/1755)*(654/72 - 9).
40
Let f = 41071 + -41063. What is the least common multiple of f and 1*(2 + (13 - 1))?
56
Let o = 527/5 + -5987/55. Let b be (218/(-24))/((-1166)/636). Let q = o + b. Calculate the common denominator of q and 8/5.
10
Suppose -27*h = -31*h - 24. Find the common denominator of ((-2)/h)/((-38)/72) and -13/3.
57
Let h be (-5*(-3)/(-6))/(2/(-4)). Suppose 2*a + f - 15 = -3, 4*f = -h*a + 27. What is the least common multiple of 35 and a?
35
Suppose -110 = -5*g - 0*g. Suppose -140 = 35*p - 25*p. Let c(d) = -15*d - 82. Calculate the lowest common multiple of g and c(p).
1408
Let q(s) = -12*s**3 + 7*s**2 + 2*s + 1. Let r be -1 + 0/((-16)/(-4) - 5). Calculate the least common multiple of q(r) and 27.
54
Let l be (360/200)/((4/(-10))/2). Calculate the common denominator of (-6)/(-1236)*366/l and -32/21.
2163
Let r = -4741272 - -21816047. Let z = 4063789187/238 - r. Let f = 2/119 + z. Calculate the common denominator of f and -19/2.
2
Let i(h) = 4*h - 81. Let x be i(19). What is the common denominator of ((-836)/(-77))/(2 + -3 + x) and (-178)/8*10/15?
42
Let a be (6*6/(-9))/(-2). Suppose -4*d + 30 = -a*r, 2*d - 3*r - 2*r - 27 = 0. What is the lowest common multiple of 42/35*45/18 and d?
6
Suppose 8*d + 52920 = 31*d + 26*d. Calculate the lowest common multiple of d and 216.
1080
Let z = -16871178696/5647565 - -93945/14669. Let w = -20872/7 - z. Find the common denominator of w and 53/35.
385
Suppose 0 = 4*n + 2*q + 16, 0 = q - 1 - 3. Let l be (1 + (n/(-3) - 4))*-50446. Let j = 3228643/64 - l. What is the common denominator of j and -91/12?
192
Suppose -25*q = -24*q + 1. Let p = -7131/1000 + 3/500. Calculate the common denominator of p and q - (-483)/140 - 0/(-2).
40
Let k(q) = 14*q**2 - 60*q + 34. Calculate the least common multiple of k(4) and 231.
1386
Suppose -2*n + 5*n = 0. Let d be (91/14 - 6)/((-2)/(-28)). Let c = d - n. Calculate the lowest common multiple of c and 4.
28
Calculate the lowest common multiple of 168 and -9*228*40/(-180).
3192
Let d(y) = y**2 + 11*y + 19. Let j be d(-8). Let q(p) = p - 3. Let u be q(j). Find the common denominator of 335/140*u/(-6) and -99/4.
84
Let v = 1061153/32 - 33164. Let f = 2/4413 + -251557/35304. Find the common denominator of f and v.
32
Let w(x) = x**2 - 5*x - 4. Let y be w(4). Let o(a) = -a**3 + 396*a**2 + 1546*a + 21611. What is the least common multiple of (y/3 - 1)*-3 and o(400)?
11
Suppose -2*b + 3*f = -119, 0*f = 3*b - 3*f - 171. Let c = b - 47. What is the least common multiple of 1 + 1 + c + -1 and 20?
60
Suppose -25*o = -22*o + 4*q - 5052, 3*o = -2*q + 5064. What is the smallest common multiple of 18 and o?
1692
Let s = 116458 + -66783. What is the lowest common multiple of 5 and s?
49675
Suppose 0 = h - k - 853, 602*k - 601*k = -3*h + 2555. Calculate the smallest common multiple of 42 and h.
5964
What is the least common multiple of 10 + 5 + -2 - (-52)/(-13) and 1858?
16722
Suppose -22*o + 6580 = -29*o. Find the common denominator of -123/10 and (24/o)/(12/(-135)).
470
Let g = -14486 + 4056071/280. What is the common denominator of -39/40 and g?
280
Suppose -7 = 2*m - 11. Suppose -6 = m*f + 12. What is the common denominator of 56/3 and (f + -1)/((-117)/65)?
9
Suppose -4*q - 5*b = -235, -b + 60 = -0*q + q. What is the lowest common multiple of 1222 and q?
6110
Suppose 200 = -5*f + 5*v, -3*f - 4*v = -0*f + 141. Let z = 11140 + -1659865/149. What is the common denominator of f and z?
149
Let f be 2074283/104586 + (-13 + 12)*-3. Let d = 1/17431 + f. Calculate the common denominator of 35/87 and d.
174
Let d(j) = -4*j**2 - 107*j - 51. Calculate the least common multiple of 68 and d(-17).
612
Let i = -276961/16167550 + 8/6599. Find the common denominator of 109/2450 and i.
2450
Let u(h) = h**2 - h - 2. Let r(q) = 2*q**3 - q**2 - 3*q - 5. Let m be r(3). Suppose 0 = 6*z - m + 7. Calculate the smallest common multiple of u(-4) and z.
36
Suppose 0 = 5*n - n. Suppose -k - k + 48 = n. Suppose 427*m - 365*m - 620 = 0. Calculate the lowest common multiple of m and k.
120
Let x(t) be the third derivative of t**6/30 - t**5/15 - t**4/6 - 21*t**2. Let p(l) = l - 7. Calculate the smallest common multiple of p(11) and x(3).
60
Let x be (3/(6 - 7))/((-3)/4). Suppose -5*v = x*n - 260, 0 = -3*v - 0*v + 4*n + 156. Calculate the lowest common multiple of v and 8.
104
Let z(m) = 13*m + 264. What is the lowest common multiple of z(-20) and 236?
236
Suppose -4*y = -3*w + 107, -y - 8 = -3*y. Let z = w + -19. Let g(u) = -u**2 - 9*u + 4. Calculate the smallest common multiple of g(-7) and z.
198
Let n(t) = 63*t - 1962. Calculate the least common multiple of n(40) and 48.
4464
Let b = -92/35 + 67663/1015. Suppose 0*j + 2*j + 128 = 0. Let k = b + j. What is the common denominator of 11 and k?
29
Let u be ((-1476)/15)/(10/(-75)). Let c = 2606 + u. Let o = 60241/18 - c. Calculate the common denominator of o and -28/27.
54
Find the common denominator of -9 - 2 - 948/(-108) and (-285)/1577 - 2/(-6).
747
Let x = 26891 - 806639/30. Find the common denominator of ((-5656)/2016)/(4/6) and x.
120
Let s(x) = -4*x + 5. Let i be s(4). Let a = -6 - i. What is the lowest common multiple of ((-110)/(-6))/(-5)*(31 - 34) and a?
55
What is the lowest common multiple of (784/(-294))/((-20)/135) and 52294?
470646
Let n(c) be the second derivative of c**4/12 + 13*c**3/6 - 51*c**2/2 - 3*c + 27. What is the lowest common multiple of n(6) and 27?
189
Let o be ((-1869532)/(-96) - 0) + -6. Let k = o + -19463. Find the common denominator of 91/36 and k.
72
Let b = 9/14543 + 276065/407204. Let a = 2437/5 + -360911/740. Find the common denominator of a and b.
1036
Suppose -5*f = -4*j - 26, -3*j - 2*j = -4*f + 28. Suppose f*o - 12 = 2. What is the least common multiple of (1 + 2/((-10)/11))*(-300)/36 and o?
70
Suppose w + 1 - 4 = 0. Suppose k - 4 - w = 0. What is the least common multiple of 30 and (-2)/k + (-768)/(-42)?
90
Let a = -1856327/57 + 32566. Let m = -132797/6 + 22120. Calculate the common denominator of a and m.
114
Let a = -18458 - -20133. Calculate the least common multiple of a and 3685.
18425
Let w be ((-63)/(-12) - 0)*(42 - 18). Suppose 0 = 10*h - 7*h - w. Calculate the smallest common multiple of h and 54.
378
Suppose 4*g = 4*v + 6*g - 40, g = -4. Suppose -5*o + 65 = -4*f + 3*f, -26 = -3*o - 2*f. Calculate the least common multiple of o and v.
12
Let r = -3/148784 - -321871/1205299184. Let d = r - -834379/97212. What is the common denominator of d and (-130)/44 - (350/110 + -3)?
132
Let c = 1486 - 35659/24. Let n = -619/29 - -17459/928. Find the common denominator of n and c.
96
Let m(y) = -y**3 + 20*y**2 - 3*y + 90. Let i be m(20). What is the common denominator of 71/33 and (4/i*3)/((-8)/(-230))?
66
Let v = -72 - -97. Suppose v*w - 12*w = -26. Let o(g) = 7*g**2 + 3*g. Calculate the lowest common multiple of 22 and o(w).
22
Let g = -18510 - -44958. What is the least common multiple of g and 6?
26448
Find the common denominator of 83/72 and (-18)/12 + -7 + (-49)/(-35).
360
Suppose 196 = 14*p - 10*p. Let w be -9*(-8)/(-42)*p. Calculate the common denominator of (-9)/12 + 41/w and -8/21.
21
Let v(q) = 3*q**2 - q - 64. Suppose s = -s - 16. What is the smallest common multiple of (4/s)/(3/(-60)) and v(5)?
30
Let m = -3/6226 + -144717/77825. Find the common denominator of m and 3/445.
4450
Let l = 7910295/26 + -3694645/13. Let n = 20041 - l. What is the common denominator of (3/12)/(2*2/26) and n?
104
Suppose -3*d + 0*d = 3*z - 228, -d - 5*z = -72. What is the smallest common multiple of 56 and d?
616
Let k = 25 - 28. Let s = k + 7. What is the least common multiple of (s/(-5))/((-2)/40) and 14?
112
Suppose 3*z - 3*y - 183 = 168, 0 = -2*z + 5*y + 249. Suppose z + 48 = 5*t. Calculate the smallest common multiple of t and 20.
160
Let k = -924 + 952. Calculate the least common multiple of (-18)/(-1) + 2 - 0 and k.
140
Suppose 14*r - 1188 = -13*r. Let q = 53 - 51. Suppose -g = q*p - 5*g + 12, 10 = 3*p + g. What is the smallest common multiple of p and r?
44