ommon denominator of 36/450*(-705)/54 and (22/27)/((-30)/9)?
45
Let v(y) = y**3 - 14*y**2 - 4*y - 1. Let q be v(15). Let u = q - 152. Calculate the lowest common multiple of u and -9*((-16)/6 + 2).
12
Let d(h) = h**3 + 12*h**2 + 8*h + 15. Let r = -69 - -79. What is the lowest common multiple of r and d(-11)?
240
Calculate the common denominator of -109/220 and 2430/6600 + (-1)/(-5).
220
Suppose -4*l + 2*i - 6 = 5*i, 3*l = 4*i - 17. Let j = l + 12. What is the lowest common multiple of j and -1 - (12 + -3)/(-3)?
18
Suppose -26 = -2*c + 2*p, 7*c + p - 19 = 4*c. What is the smallest common multiple of c and 8?
8
Let v(o) = -11*o**3 + 1. Let r = 170 - 162. Calculate the least common multiple of r and v(-1).
24
Let p = 16 - 24. Suppose 120*w + 6 = 117*w. Calculate the smallest common multiple of w/(p/4)*9 and 6.
18
Find the common denominator of 97/310 and (-8)/(-20)*(-4425)/(-6510).
2170
Suppose -5*a + 5*c = 45, -9 = -2*c + 1. Let k = -7 - a. What is the common denominator of 99/8 and 18/20 - k/3?
40
Let i = -4 - -12. Suppose 0 = -8*l - 0 + 176. What is the smallest common multiple of l and i?
88
What is the least common multiple of 30 and 69 - -2 - (-8 + (-78)/(-6))?
330
Suppose -36 = 3*q + 3*q. What is the common denominator of -3 + (2/(-32))/(q/(-328)) and 23/2?
12
Let p(c) = -c**3 + 6*c**2 - 2*c - 5. Let h be 10*(2/2 + 0). Suppose 13*w = 11*w + h. What is the least common multiple of 18 and p(w)?
90
Let v = -671 + 1483. Suppose 8*j + 6*j - v = 0. Calculate the least common multiple of 8 and j.
232
Let n = -10646/289625 - 4/6951. What is the common denominator of n and -15?
375
Suppose -11*x + 1296 = -5*x. Let t = 1468/7 - x. Suppose -2*c - 3*v + 27 = -43, -4*c + v = -112. Find the common denominator of c and t.
7
Let v(d) = 3*d**3 - d**2 + 7*d + 17. Let a(w) = 4*w**3 - w**2 + 10*w + 25. Let x(t) = -5*a(t) + 7*v(t). What is the smallest common multiple of x(6) and 4?
132
Let a = -2351/18 + 130. Let p = -150013/21 - -7141. Calculate the common denominator of p and a.
126
Find the common denominator of 41/16 and (297/(-24))/(996/(-48)).
1328
Let c = 2953/638 + -183/29. Let d = -274971/363382 + -8/5861. Find the common denominator of c and d.
682
Let b be 0 - (-15182)/(-4) - 10/20. Calculate the common denominator of -79/16 and b/(-585) - (-4)/10.
144
Let x = 3313/45 - 220/3. Calculate the common denominator of 32/9 and x.
45
Let x be (-3610)/(-4) - (-3)/2. Suppose -x = -j - 3*j. Find the common denominator of (j/28)/(-2 + 1) and 81/16.
112
Let q(p) = -p**3 + 6*p**2 + 18*p - 8. Calculate the lowest common multiple of q(8) and 166.
664
Let v be -6 + 10 + -3*1. Let o(x) = 7*x. Let s(w) = 6*w. Let p(j) = -4*o(j) + 5*s(j). What is the least common multiple of p(v) and 8?
8
Let o be (14185/1)/(-1 - 0). Let c = o + 283593/20. What is the common denominator of c and ((-26)/(-36))/((-2)/33)?
60
Let z be (37 + -3)*3/6. Let x = 14 - z. What is the common denominator of 107/6 and x/(-18) - 86/3?
6
Let t = 654941598/306271933 + -297/220102. Let d = t + -2/2783. Calculate the common denominator of d and (27/24)/((-6)/124).
44
Suppose -3*r = 0, 2*z + 20*r = 17*r + 12. Suppose 3*u - 18 = -4*o, -8 = 3*u - 5*o + 1. Calculate the least common multiple of u and z.
6
Let n(c) be the first derivative of 9*c**2 + 9. Let h be n(7). What is the common denominator of -133/12 and (h/16)/(2/(-4))?
12
Let c(s) = -2*s**3 - s**2 - 3*s - 10. Let k be c(-11). Let y be (k/6)/(1/(-9)). Let j = y - -69323/18. Find the common denominator of 71/4 and j.
36
Let s(r) = 3*r**2 - 42. What is the smallest common multiple of s(4) and 230?
690
Let v(g) = g**3 - 33*g**2 - 34*g + 6. What is the smallest common multiple of v(34) and 54?
54
Let g = 284025 - 18744577/66. Let z = -8/33 - g. Find the common denominator of 2/6 - (-363)/126 and z.
14
Let y = -27 - -76. What is the smallest common multiple of 49 and y?
49
Let r be 255/60 + 2/(-8). Suppose -36 = b + 5*j - 0*j, 0 = b - 3*j + r. Let f = -12 - b. What is the smallest common multiple of 6 and f?
12
Suppose -5*h - 3*u = -85, -3*h - 7*u = -3*u - 62. What is the least common multiple of h and 74?
518
Let y(l) = 2*l - 3. What is the smallest common multiple of y(5) and (-2)/(-3)*(-6 - (-180)/8)?
77
Let v = -861741/35 - -49213/2. Let o = v + 73/5. Let f = -35947/16 - -2246. Find the common denominator of f and o.
112
Find the common denominator of 6*88/135 - 3 and 40/7.
315
Let z(u) = u**2 + 13*u + 2. Let n be (-10)/45 + 2/((-36)/230). What is the lowest common multiple of z(n) and 2?
2
Let o = -323 - -1301/4. Let n be 3 - -58*(-1)/(-2). Find the common denominator of ((-4)/n)/((-1)/5) and o.
8
What is the common denominator of -39/140 and ((-36)/(-22))/(-3) - 27220/(-61600)?
280
Let w(t) = 7*t + 1. Let z be 21/12 - 3/(-12). Suppose 1 = -z*u + u, -m - 3*u = 0. What is the lowest common multiple of w(m) and 16?
176
Let m = -1424/15 + 593/6. Let g = 71755115/36 + -7927865/4. Let h = g + -11225. Find the common denominator of m and h.
90
Let z be (624/162 - -4)/((-4)/(-2946)). Let r = z - 5789. Find the common denominator of r and 86/21.
63
Let h be -31*2 - (1 - 3). Calculate the common denominator of 3/11 and (-144)/(-15)*8/h.
275
What is the least common multiple of (-3 + (-4)/(-1))*(2 - -2) and 2?
4
Find the common denominator of -7/5 and 197/(-180) - (5 - (-129)/(-27)).
60
Suppose 4*r = -4*d + 20, 0 = 5*r - 5*d - 0 + 5. Suppose 4*p - 50 = 5*m, 4*m = -2*p + m + 14. What is the lowest common multiple of r and p?
10
Let n = 365 + -309. What is the lowest common multiple of 63 and n?
504
What is the least common multiple of (2 - -21) + 3*10/(-15) and 27?
189
Let u(t) = -8*t**3 + t**2 - 2*t. Suppose 74 = 5*k - 0*k - 4*a, 5*a - 92 = -4*k. Calculate the smallest common multiple of u(-2) and k.
72
Calculate the smallest common multiple of (-1980)/(-72)*(-16)/(-5) and 33.
264
Calculate the common denominator of 4 + (-19)/6 - (-15 + 12) and 43/322.
966
Let d(h) = h**3 + 10*h**2 - 11*h + 9. Calculate the lowest common multiple of d(-11) and 12.
36
Let d(c) = c**2 - 13*c + 6. What is the least common multiple of d(14) and 55?
220
Let z be (-502)/6 - 8/6. Let y = z + 145. Suppose -v - 4*v = -y. What is the least common multiple of v and 22?
132
Let u(d) = -d**2 + 9*d - 4. Let t be u(8). Suppose -t*p = 3*y + 10, 2*y - 2*p - 7 = 5. What is the least common multiple of 3 and 10 + y/(-1 + -1)?
9
Suppose 2*i + i = 0. Let f(y) = y**2 + y - 3. Let p be f(i). What is the least common multiple of p/((-3)/(-1)) + 6 and 7?
35
Let l = -14583183920655/2874808 + 4182431932/5891. Let c = -4362771 - l. Let m = c - -142/61. Calculate the common denominator of m and 47/9.
72
Let j be 2 + (-2 - (-161186)/(-28)). Let q = -4557 + 10321. Let v = j + q. What is the common denominator of v and -55/18?
126
Let b = -1 - -6. Calculate the lowest common multiple of b and (1 + 3)/(14/21).
30
Suppose -2*o + 35 = 31. Calculate the lowest common multiple of 297 and o.
594
Let l = -1020 - -3086/3. Find the common denominator of -143/36 and l.
36
Find the common denominator of 57/40 and (-155)/15 - (-7)/(-6).
40
Suppose 11*k - 13*k - f = -6, 2*k - f = 10. What is the smallest common multiple of k and 8?
8
Let r(k) = 2*k**2 - 13*k - 3. Let t be r(7). Suppose 0 = -6*z + t*z + 8. Let w = 3 - 1. What is the least common multiple of w and z?
4
Let m(c) = 0*c + 0*c - 2*c**2 - 3*c + 0*c + 1. Let t be m(4). Let w = -24 - t. Calculate the least common multiple of 8 and w.
152
Let i = 55524/23 + -2415. Calculate the common denominator of -9/253 and i.
253
Let o(g) = -5*g**2 - 5*g + 5. Let i be o(-4). What is the common denominator of 485/8*11/i and 35/4?
8
Suppose 0*k = -k - 3*w + 3, 2*w + 26 = 4*k. Suppose -5*a = -k - 4. Calculate the smallest common multiple of 20 and a.
20
Let n(x) = -17*x + 8. Calculate the least common multiple of 15 and n(-2).
210
Let h be 115/35 + (-2)/7. Suppose -4*l = -4*g - 56, -g + h*l - 8 = 4*l. Let p = g - -23. Calculate the smallest common multiple of 26 and p.
156
Suppose 42 = 41*c - 34*c. Suppose -3*a - 13 = -5*n - 0*n, -3*n = 2*a + 15. Let d(b) = -3*b - 6. What is the lowest common multiple of c and d(a)?
12
Suppose -46 + 235 = -7*d. Let o = 7 - d. Calculate the lowest common multiple of o and 12.
204
Suppose -3*w + o = 6, 3*w - 5*o + 6 = -0. What is the small