8/12).
154
What is the common denominator of -33/380 and (-377)/(-232) - (1 + (-8)/(-2))?
760
Suppose 0 = 5*a - 20, -3*b + b + 2*a + 22 = 0. Let f = b - 5. Suppose 5*m - 42 = 23. What is the least common multiple of f and m?
130
What is the common denominator of (-56574)/(-1428) + 2/(-17) and (162/(-280))/(22/55)?
56
Calculate the smallest common multiple of 100 and -15*(27/(-15))/((-9)/(-6)).
900
Let y be 2*(-1)/12 - 293105/(-48). Let l = -6103 + y. Calculate the common denominator of -73/14 and l.
112
Suppose -5*l = -2*i - 22, 3*l - i = 5*l - 16. Suppose 5 = l*q - 19. What is the lowest common multiple of 18 and q?
36
Let y(z) = z + 1. Let a(d) = 2*d + 2. Let i(s) = 3*a(s) - 7*y(s). What is the lowest common multiple of 14 and i(-11)?
70
Let s = 349 - 314. What is the smallest common multiple of s and 42?
210
Let k = -7598/3 + 166841/66. What is the common denominator of k and ((-10)/((-320)/2))/((-6)/568)?
132
Suppose -5*z = m + 138 + 1, -2*m = 5*z + 273. What is the common denominator of (8/12)/(12/m) and -11/9?
9
Let v be (4 + 0)/(10/35). Let y(t) = -t**3 + 15*t**2 - 11*t - 20. What is the smallest common multiple of y(v) and 32?
352
Let v = -1312/43 - -117563/3784. Find the common denominator of 49/110 and v.
440
Suppose -3*d - 200 = -5*r - 8*d, -r = -2*d - 52. What is the smallest common multiple of r and 18?
396
Let u(c) = -c**3 - 9*c**2 - 9*c - 7. Let s be u(-8). Find the common denominator of s/1 - (81/8 - 4) and 83/4.
8
Suppose 3*i = -2*s - 3*s + 145, 0 = -3*s - 3. Suppose -i = 4*z + z - 4*w, 2*z - w + 17 = 0. Calculate the common denominator of -37/12 and ((-393)/30)/(z/5).
12
Let c = 28 + -20. Suppose -v + 5*v = c. Find the common denominator of 59/3 and (1022/4)/7 - v.
6
Let n = -21 + 12. Let c = 11 + n. Suppose 16 - 1 = -5*i, c*i = -2*a + 2. Calculate the smallest common multiple of 4 and a.
4
Let i = -316 - -348. What is the least common multiple of 80 and i?
160
Let w(u) be the second derivative of u**5/20 + u**4/4 - u**3/2 - 12*u. Let h be w(-3). Let l(a) = 2*a - 14. Calculate the lowest common multiple of 4 and l(h).
4
Let z(q) = -q + 11. Let j be z(8). Suppose 0 = -j*s + 4*w - w + 12, 22 = 4*s - w. What is the least common multiple of 48 and s?
48
Suppose 0*v + 5*c - 5 = v, 28 = -3*v + 2*c. What is the common denominator of 4 + -4 + 375/v and 19/101?
202
Suppose -f = -3 - 0, 129 = 2*y - f. What is the least common multiple of 30 and y?
330
Suppose 2230 = -2*y - 65386. Let u = y + 1014427/30. What is the common denominator of u and -109/20?
60
Let o(q) = -91156*q**2 + 15*q - 9. Let v be o(-12). Let n = v - -262426071/20. Let s = -5351 - n. Find the common denominator of s and -91/6.
60
Let k be (-9)/(2/(-12) + 0). Suppose 6 = -3*m - 0*m, 2*i - 5*m = k. Calculate the lowest common multiple of i and 14.
154
What is the lowest common multiple of 14 and 7/2*(-60)/42*-22?
770
Suppose 0 = -6*t - 74 + 26. Calculate the smallest common multiple of 12 and (-24)/(-10)*(-20)/t.
12
What is the common denominator of (-4)/(-9) - (-1772)/792 and 97/10?
110
Let a(t) = -t**3 - 12*t**2 + 41*t + 27. What is the least common multiple of a(-15) and 580?
1740
Let c = -8340 + 49895/6. What is the common denominator of c and 13/67?
402
What is the common denominator of (-123)/(-144) - 2/3 and 0 + 2/240*-201*-2?
80
Let s be (188 - (-12)/4)/1. Let m = -135 + s. Find the common denominator of 47/18 and (-348)/m + (-2 - -2).
126
Let g(o) = -o**2 + o. Let z(n) = n**3 - 9*n**2 - n - 4. Let m(x) = 4*g(x) - z(x). Let j be m(6). What is the lowest common multiple of 54/(-4)*(-4 - j) and 9?
27
Suppose -5*i = -2*i + 9. Suppose 18*x = x - 9996. What is the common denominator of x/76*(-1)/i and 46/9?
171
Let y = 78747/880 - 447/5. Calculate the common denominator of -69/44 and y.
176
Let s(n) = -n**3 + 12*n**2 + n - 11. Let f = -8 - -10. What is the smallest common multiple of s(12) and f?
2
Let d = 17 - 13. Let x = 126 - 1. Suppose 5*r - x = -5*m, d*m - m = -5*r + 81. What is the lowest common multiple of m and 54?
594
Let v(h) = h. Let g(m) = -m**2 + 8*m - 3. Let x(w) = -g(w) + 5*v(w). Let f be x(5). Let u = f + -5. What is the least common multiple of 9 and u?
72
Find the common denominator of -31*1/168 - (-14)/21 and -33/40.
280
Let i = 122463973/70060 + 441/7006. Let c = -8716/5 + i. What is the common denominator of c and 71/58?
580
Let z(u) = 8*u**2 + 15*u + 5. Let r(m) = -9*m**2 - 16*m - 5. Let s(j) = 6*r(j) + 7*z(j). What is the smallest common multiple of 20 and s(-7)?
40
Suppose 0 = -21*o + 26*o - 125. Calculate the least common multiple of 150 and o.
150
Let x(j) = j**3 - 6*j**2 + j. Let m be x(6). Suppose -5*i - 4*a = -12, m = a + 3. Suppose 3*q + q - 144 = i. What is the lowest common multiple of q and 10?
180
Let g = -2663 - -271675/102. Find the common denominator of -151/12 and g.
204
Let q = 414763/22830 + -3/3805. Let s(x) = -x**3 + 12*x**2 - 9*x + 8. Let c be s(11). What is the common denominator of q and (-311)/c - 4/(-6)?
30
Suppose -2*i = -4*i + 6. Let b = i - -1. Let g(c) = 17*c**2 - 9*c + 8. What is the least common multiple of g(1) and b?
16
Let o(q) = q**3 + q**2. Let g be (21/9 - 4)*-9. Let t = 27 - g. Calculate the lowest common multiple of o(2) and t.
12
Let d be -6*(-1 - (1/(-2) - 0)). Suppose 0 = 2*n + 3*n + 4*u - 44, n - 5*u - d = 0. Calculate the least common multiple of n and 20.
40
Suppose -61*x = -14*x - 7755. Calculate the least common multiple of 264 and x.
1320
Suppose -4*q = 3*h - 87, 4*h - q = -0*h + 97. Let a = 27 - h. Calculate the lowest common multiple of a and 4.
4
Let r = 8121/16 - 1019/2. Find the common denominator of -33/448 and r.
448
Let c = -571 - -1177. Calculate the common denominator of 24/(-180)*(-685)/(-12) and (c/4)/(-5 + 8).
18
Let a = -691 + 2677/4. Let w = 332/37 + -14875/1332. Let n = w - -67/12. What is the common denominator of a and n?
36
Let q = -36/10301 + -216079/5964279. Calculate the common denominator of q and -101/30.
5790
Let s = -1028 - 34. Let f = s + 608. Calculate the common denominator of 6/9 + f/(-12) and -57/14.
14
Let b(d) = d**3 + 11*d**2 - 4*d + 16. Let c be b(-8). Suppose -c = 8*f - 3*f. Find the common denominator of -65/4 and f.
4
Let x(z) be the third derivative of 0*z + 0 + 4/3*z**3 + 1/3*z**4 - 4*z**2 - 1/60*z**5. Calculate the lowest common multiple of 18 and x(8).
72
Let c(r) = -r**2 + 4*r - 3. Let s(q) = -q**2 + 4*q - 3. Let f(l) = -4*c(l) + 5*s(l). Let i be f(5). Find the common denominator of 3/10 and -1*((-564)/i)/3.
10
Let x = 4637/8 + -582. Suppose 0 = -3*b + 4*b - 413. Calculate the common denominator of (b/10)/7 - 0 and x.
40
Calculate the smallest common multiple of ((-12)/9)/(7/(-42)) and 3292.
6584
Suppose -2*q - 14 = -v, 7*q + 34 = 3*q - v. Let m(g) = g + 12. What is the smallest common multiple of m(q) and 38/8 - 1/(-4)?
20
Suppose -3*c - 3 = 33. Let z = -115/13 - -235/78. Find the common denominator of z and (4/c)/(8/366).
12
Suppose -5*w + 99144 = 40264. Let g be 2/(-3) - w/(-6). Calculate the common denominator of -9/38 and (-2)/18*g/24.
228
Calculate the common denominator of (309/6)/(61 - 41) and -77/135.
1080
What is the common denominator of (-138)/92 + -5*(-7)/66 and -49/18?
198
Let g = 19 + -7. Let w be 26/(-92235)*(-321658)/(-12). Let j = w + 1/2365. What is the common denominator of g and j?
9
Find the common denominator of (2 - -1) + 23414/(-9936) and 61/108.
216
Suppose 4*d - 6*d = 0. Suppose d = 2*w + 2*w - 72. Calculate the smallest common multiple of 28 and w.
252
Let i = 2973 + -148643/50. What is the common denominator of i and 56/15?
150
Suppose 4*h + d - 49 = -0*d, h = -d + 16. Let y(f) = f**2 - 8*f - 13. What is the smallest common multiple of 0*1/(-2) + 2 and y(h)?
20
Let z = 18 - 78. Let t = 650/11 + z. Calculate the common denominator of t and 65/2.
22
Let w be (1 - 4) + -14 + 4. Calculate the common denominator of 166/(-4) + 0/w and -20/3.
6
Let g(d) = d**2 - 5*d - 7. Let n be g(6). Let t = 0 + n. Find the common denominator of 73/4 and (t - -1) + 1001/198.
36
Let q(a) = -a + 29. Let b be q(11). Calculate the common denominator of -49/5 and -14 + b + 49/6.
30
Find the common denominator of -103/60 and 8 + 4555/(-380) - -5.
1140
Let s be (-1 - (-3 - -3))*0 - 0. Suppose s = z + 128 - 168. What is the least common multiple of 6 an