20
Let a = -4365/38 - -374003/3268. Calculate the common denominator of a and 13/6.
516
Let p(y) = -y**2 + 9*y - 12. Let m(k) be the first derivative of k**2 - 15*k + 1. Let q be m(11). What is the least common multiple of p(q) and 5?
10
Let a = -180 + 1809/10. Let x = -630317897/5580 + 1016614/9. Let g = x - -122/31. What is the common denominator of a and g?
20
Let d(n) = 155*n**2 - 8*n + 5. Calculate the smallest common multiple of d(1) and 7.
1064
Let j = -4317343/2850 - -28770/19. What is the common denominator of j and -56/15?
150
Suppose 2*l = 5*l + 54. Let v = 32 + l. Let j = v + -6. Calculate the least common multiple of 10 and j.
40
Suppose 5*w - 15 = -5*f, -5 - 7 = -5*f - 2*w. Suppose -z + 36 = f*z. Calculate the least common multiple of z and -2*(-3 + 8)/(-1).
60
Let j = 9534 + -171559/18. Calculate the common denominator of j and ((-53)/2 + -1)*6/(-90).
18
Calculate the smallest common multiple of (-3)/(-12)*4 + 31 + -2 and 16/2*8/((-64)/(-22)).
330
Suppose -2171 = -3*b - 3*l + 4795, 3*b - 3*l = 6966. Let m = b + -71992/31. Let d = -154/93 - m. What is the common denominator of -139/6 and d?
6
Let r be ((-3689)/28)/(1/4*1). Let k = r - -19524/37. Calculate the common denominator of k and -13/8.
296
Let r be 0 + (2/(-179))/(-2). Let w be (-2)/13 + -3*2902/(-11635). Let l = r + w. What is the common denominator of -64/3 and l?
15
Let u be 1 + -1 + (4 - 0). Let c(m) = m**3 + u*m + 5 - m**3 + 0*m**3 - m**3 - 4*m**2. What is the smallest common multiple of c(-5) and 5?
10
Let i(d) = -d**3 - 4*d**2 + 6*d + 2. Let s be i(-4). Let j = s + 31. Calculate the common denominator of 28/5 and (-2)/6 - (-64)/j.
45
Let c(w) = 26*w + 4. Let j(l) = l + 1. Let i(v) = c(v) - 2*j(v). Let s be i(-9). Find the common denominator of s*(-1)/80*-2 and 47/20.
20
Suppose c - 1 = 1. Suppose -3*a = c*a - 20. Suppose 3*x - 27 = -5*g, -x - 3*x + 65 = -3*g. Calculate the lowest common multiple of x and a.
28
Let j = 2/909 + 19390/909. Calculate the common denominator of j and -51/247.
741
Let w be 10/(-15) + 172/6. Find the common denominator of -25/6 and ((-1)/(-5))/(w/1295).
12
Let k(x) = -x**2 + 11*x - 8. Let v be k(10). Suppose -r - 3*d = -14, v*r + r - 4*d = 16. Calculate the least common multiple of 6 and r.
24
Let w be (-5)/(420/(-7731898)) + 0. Let u = w - 92061. Let b = u - -66/7. Calculate the common denominator of b and -77/20.
60
Let l = -513 - -2001/4. Let t = -46178/893 - -972/19. Calculate the common denominator of l and t.
188
Let b(c) = -12*c**3 - 6*c**2 + 1. Let a be b(-2). Let y = -69 + a. Calculate the least common multiple of 20*((-16)/10)/(-4) and y.
8
Let x be 0 - (-1 + 43825/6). Let j = x + 7327. Find the common denominator of j and 166/18 - 3*20/30.
18
Suppose 4*h - 13 = -1. Suppose 0 = h*o - 4 + 16. What is the common denominator of -59/2 and 1 + 7 - o/18?
18
Suppose -3*d = 1 - 13. Suppose -16 - 4 = 4*w. Let n = w - -9. Calculate the smallest common multiple of d and n.
4
Let h = 13861 + -221683/16. Calculate the common denominator of -3/74 and h.
592
Let a = 690 + -5489/8. Let u = -1/20 + -93/20. Find the common denominator of a and u.
40
Suppose -353 + 53 = 5*h. Calculate the common denominator of ((-9)/(-2) + -3)/(351/h) and 143/6.
78
Let s(p) = -2*p**2 + p + 3. Let d be s(0). Let o(k) = -k**3 + 5*k**2 + k - 10. What is the smallest common multiple of o(d) and 62?
682
Suppose 2*y - 39 = 5*r - 8, 14 = 3*y - r. Suppose -y*s + 2*b = 2*s - 58, 3*s + 5*b - 10 = 0. What is the least common multiple of 12 and s?
60
Find the common denominator of 35/4 and (-325)/260 - 298/(-24).
12
Let h = -56/529 + -45127/8464. Calculate the common denominator of -77/104 and h.
208
Let m(v) = 4*v + 4. Let a be m(6). Suppose z = -z + a. Calculate the lowest common multiple of z and 28.
28
Let g(s) = s**2 - 4*s + 7. Suppose 0 = -3*x - 0*x + 54. What is the smallest common multiple of x and g(3)?
36
Find the common denominator of (0 - 1475/(-720)) + -1 and -1/3.
144
What is the smallest common multiple of (304/6)/(77/231) and 19?
152
Let l = 2954 + -38431/13. Calculate the common denominator of (1 + 1)*24/(-60) and l.
65
Let j = 4404 + -35285/8. Let l = -16954 - -372877/22. Find the common denominator of l and j.
88
Let i be (156/(-10))/(43884/54598184840). Let l = 291130741/15 + i. Let j = l + 4/1219. Calculate the common denominator of j and -26/29.
145
Suppose -206*k + 5586 = -73*k. What is the lowest common multiple of 224 and k?
672
Let i(v) = v**2 - 8*v + 3. Suppose -2*f = f - 18. Let y be i(f). What is the lowest common multiple of 22 and (y - -3)/(2/(-4))?
132
What is the common denominator of 125/198 and (-187)/(-36) + 45/(-27)?
396
Let u = 2927/120 - 291/10. Find the common denominator of u and 53/(-33) - 6/(-9).
264
Let k = -159313/12 + 13267. Find the common denominator of -95/132 and k.
132
Suppose -8 = 6*k - 10*k. Suppose 23 = 2*c + 1. Calculate the least common multiple of c and k.
22
Let h(w) be the third derivative of -w**6/120 + w**5/6 - 7*w**4/12 + 15*w**2. Calculate the lowest common multiple of h(8) and 44.
176
What is the least common multiple of 48 and 10 + (-6*26)/(-6)?
144
Let h = -22 + 28. Suppose 3*g = 4*b + 161, 3*g + b = -0*b + 166. Suppose 16 = 3*a + k - 5, 0 = -5*a + 5*k + g. Calculate the lowest common multiple of a and h.
24
Let x = 2588019172/43845 - 2183818/37. Let t = x - 5/474. Find the common denominator of t and -49/27.
270
Let h = 2664 - 61259/23. Let y = -71/207 + h. Calculate the common denominator of (-2)/(-5) + (-442)/80 and y.
72
Suppose 0 = 5*j + 5*h - 115, -2*j - 13 = -2*h - 63. Suppose i + i - j = 0. Suppose 0 = 2*z - 6 - i. What is the smallest common multiple of 3 and z?
9
Suppose 5*m - 5 = 0, -2 = -4*x - 2*m - 0*m. Let a = 4 - x. Suppose 86 = 5*j + a*z, 4*z + 119 = 5*j + 25. What is the lowest common multiple of j and 20?
180
Suppose -25*k + 26*k - 4 = 0. Let z(h) = -h**3 + 10*h**2 + 2*h + 13. Let g be z(10). Suppose -3*r = -0*r - g. What is the smallest common multiple of k and r?
44
Let d be 2/(-6) + ((-46)/6 - -4). What is the least common multiple of 15 and (28/(-21))/(d/(-6)) + 32?
30
Suppose -2*w + 7 = 9. What is the least common multiple of 4 and (w - (-18)/14) + 1020/105?
20
Let m = -826/25 + 50491/1650. What is the common denominator of 149/36 and m?
396
Suppose 3*p - p - 16 = 0. Suppose -5*i = -p*i + 6, b - 2*i = 40. Suppose 4*z - 74 = 5*c, -2*z - z = 2*c - b. Calculate the lowest common multiple of z and 20.
80
Let v be 8/(-3)*18/(-12). What is the lowest common multiple of (1 + 0)/((-5)/(-55)) and v/10 + (-24)/(-15)?
22
Let c = 1 - 0. Let n = c - 0. Let a(t) = -t**3 + 4*t**2 - 1. Calculate the least common multiple of a(2) and n.
7
Let n be (7/102)/(1*(-1)/(-4)). Let c = -257/255 + n. What is the common denominator of 74/27 and c?
135
Suppose -j + 7*j = 108. What is the least common multiple of j and 30?
90
Suppose 0 = 4*o + f + 19 - 80, 0 = -5*o - 2*f + 80. What is the least common multiple of 144 and o?
1008
Suppose 5*q = -0*q + k + 341, -2*q + 141 = -5*k. Let o = -46 + q. What is the smallest common multiple of o and 3 - ((2 - 2) + 1)?
22
Let g be (-8)/(-3)*36/(-8). Let d = -4 - g. What is the smallest common multiple of (8 - 3 - 3)*3 and d?
24
Find the common denominator of -119/20 and (-1 - 15/10)*(-47)/465.
1860
Let r be 228/(0 - -2)*4653/27. Let x = -353539/18 + r. What is the common denominator of x and -55/9?
18
Let b = -13800 + 276083/20. Find the common denominator of b and (309/(-12))/(66/(-4)).
660
Let r = -155 - -175. What is the smallest common multiple of r and 70?
140
Let b(q) = -q + 2. Let i be b(-4). Let g be i/4*8/(-3). Let y(k) = -4*k + 4. Calculate the lowest common multiple of 14 and y(g).
140
Suppose -5*d - 25 = -3*y, -3*d - 4*y = 2*d - 10. Let z = 13 - d. Calculate the common denominator of (-21)/z*90/(-44) and 59/10.
110
Suppose 3 - 17 = -q - 3*f, -4*f = 2*q - 22. Calculate the least common multiple of q and 43.
215
Suppose 36*n - 7731 - 1341 = 0. What is the smallest common multiple of n and 8?
504
Let r be (21/6 - 4)*58. What is the lowest common multiple of (2*-3 - -2) + 6 and (r + 8)/((-6)/4)?
14
Let c = -291034265/16 + 18179583. Let p = 10055 + c. Find the common denominator of p and -95/8.
16
Suppose -8 = -4*y + 2*y. Let o(t) = 2 + t - 1 + 1 - 3. Calculate the sm