. What is the common denominator of 52/48*(-3)/2 and (-6)/(-3) - f/(-22)?
88
Suppose 10 = 5*q + o, -2*o + o = -3*q + 14. Suppose 1 + 9 = 2*k. Calculate the smallest common multiple of q and k.
15
Let w = 4 + -23. Let s = w - -39. Suppose -3*c = -4*y - 20, -3*c + 23 = 4*y - 5. Calculate the smallest common multiple of c and s.
40
Let w = 19085/53616 + -2/1117. What is the common denominator of 139/30 and w?
240
Suppose 4*i = -3*q + 10596, 2*i = 4*q - 1597 + 6917. Let a = -21267/8 + i. Calculate the common denominator of a and -51/22.
88
Let l = 208709/24 + -8691. What is the common denominator of l and 25/24?
24
Let m = -7698 - -61503/8. What is the common denominator of m and -125/12?
24
Let a be 0 - (-1217 - (3 + -2)). What is the common denominator of a/396 + 2/6 and -97/12?
132
Suppose -4 = u - 3*f, -2*u + 0*f + 28 = 3*f. Suppose -u = 4*s - 2*j, -2*s + j = 4*j - 4. Calculate the least common multiple of (2/(-5))/(s/10) and 10.
20
Suppose 0 = 4*u + 20, 5*u + 25 = -c + 5*c. Suppose -2*f = p - 3 + 1, 2*p + 2*f - 14 = c. What is the lowest common multiple of 12 and p?
12
Let w(m) = 2*m**2 - 7*m - 3. Let c be w(7). Let o = c - 26. Suppose -2*r - 5*f = -f - o, 5*f = -r - 5. What is the smallest common multiple of 18 and r?
180
Let t = 642681/50 + -12852. Calculate the common denominator of 22/45 and t.
450
Let g(m) = -5*m + 2. What is the least common multiple of 10 and g(-2)?
60
Let n = -17 + 13. Let g = 8333/4 + -2098. What is the common denominator of g and 15/n - (-1)/5?
20
Find the common denominator of 7*((-105)/66 - -1) and (146/15)/((-12)/(-9)).
110
Find the common denominator of 54/21*9/4 and (-150)/(-44) + (-1 - 0).
154
Let n = 11 - -25. Suppose -5*j = 2*h - n - 14, -3*j + 29 = h. Let y = 58 - 38. Calculate the lowest common multiple of y and j.
40
Let p be -2 + (-4 - (1 - 4)). What is the smallest common multiple of 8 + 0 + p + -1 and 20?
20
Let c = 20861/6 + -3459. Calculate the common denominator of 69/8 and c.
24
Find the common denominator of -7/55 and (2/6)/(25/180).
55
Let p = 21 - 19. What is the smallest common multiple of p and (1 - 0)*(-112)/(-7)?
16
Suppose 7*z - 4 = 5*z. Calculate the common denominator of 109/10 and ((-86)/z)/((-60)/(-3)).
20
Let t be ((-1464)/(-20))/((-6)/(-20)). Let m be ((-10)/t)/((-46)/8). Let y = -70260/15433 + m. Calculate the common denominator of y and -46/3.
33
Let j be 14/2 + (-4)/(-2). Let l = -5 + j. What is the smallest common multiple of 5 and l?
20
Suppose -4*g + 2*g = 6. Let y be 2 + g*3/(-9). Find the common denominator of 657/(-120)*2/y and 133/12.
60
Let t = -5 + 13. Find the common denominator of (13/(-78))/(t/486) and -81/28.
56
Let v(r) = -r**2 - 6*r. Let n be v(-6). Suppose n*p + 4*p + 108 = 0. Calculate the common denominator of 123/20 and p/2*28/(-24).
20
Let k(l) = l**2 - 11*l + 10. Calculate the least common multiple of k(15) and 16.
560
Suppose 3*a = -0*a - 60. Let t = 28 + a. What is the smallest common multiple of t and 2?
8
Find the common denominator of 3/21*((-405)/(-20) - -1) and -37/44.
308
Suppose -91 + 11 = -5*x. Calculate the smallest common multiple of x and (40/6)/((-2)/(-6)).
80
Let m = 4219/4 + -1048. Find the common denominator of -11/3 and m.
12
Suppose 9 - 13 = -d. What is the least common multiple of d and 13?
52
Let u be (-12)/(-4 - 0) - -3. What is the common denominator of (-279)/240 - u/(-10) and 27/8?
16
Suppose 3*a + v - 3 = 0, -3*a + 3*v - 5 = 4. Suppose 2*s = 6 - a. What is the lowest common multiple of 9 and s?
9
Let y = -4019 + 64357/16. Find the common denominator of y and 21*(985/(-240) - -4).
16
Let a be (-1)/(-6) - 136/(-48). Let l be (-16 - a)*(-1 + 3). Calculate the common denominator of 43/14 and l/18 + 1/(-6).
126
Calculate the common denominator of 38 and 2 - 12/27*11.
9
What is the common denominator of (-179)/(-44) + 4/22 and (-142)/(-120) + (-8)/(-12)?
20
Let i(s) = -s**3 + 5*s**2 - 2*s. Let o = -4 - -6. Calculate the lowest common multiple of o and i(4).
8
What is the smallest common multiple of 4 and 18/(10 + -4) - -128?
524
What is the common denominator of ((-108)/30)/(8*(-2)/(-220)) and -11/30?
30
Let d = -4750/9 + 3529160/6687. Let s be 51147/(-8916) - (-2)/5. Let w = s + d. Calculate the common denominator of -65/6 and w.
60
Find the common denominator of 73/20 and (0 + 2)/((-36)/(-267)).
60
Let c = -3 + 4. Let m(i) = -i**3 + i**2 + i - 1. Let f be m(c). Suppose 4*d + 4*p = -f*d + 60, -d - 3*p = -9. What is the smallest common multiple of 4 and d?
36
Let z = 33581/6 + -5610. Calculate the common denominator of 23/12 and z.
12
Let y be (3/9*0)/1. Suppose -h + y*h + 14 = 0. Suppose 0 = -p - 0*p + 20. Calculate the smallest common multiple of p and h.
140
Let f = 240 + -1421/6. Find the common denominator of 53/8 and f.
24
Let s(g) = g**3 - 5*g**2 + g + 1. What is the smallest common multiple of s(5) and 1?
6
Let b = 10917/590 + -1/295. Let v = 2012/3 + -705. Let m = b + v. Calculate the common denominator of -9/8 and m.
24
Suppose 3*v = 11 - 5. Let i be -1*(-1 + v - -1). Calculate the lowest common multiple of 0/(4 + i) + 12 and 22.
132
Let y = -597030/13 + 45895. Let u = -7289/260 - y. Calculate the common denominator of (834/16)/((-9)/4) and u.
60
Suppose g = -3*j + 19, -4*g - 6 = -2*j + 2. Calculate the least common multiple of 27 and j.
54
What is the smallest common multiple of (2/5 - 190/(-25))*3 and 28?
168
Let m be 3/(-2 - 2/(-4)). Calculate the common denominator of (-294)/4*m/(-36) and -91/10.
60
Let d(l) = -l**3 + 8*l**2 - 3*l - 2. What is the smallest common multiple of 20 and d(3)?
340
Suppose 4*o - 5 = -3*p, -5*p = -2*p + 2*o - 7. Suppose h = -p, 0 = -2*n - 4*h - 69 + 5. What is the common denominator of -56/5 and n?
5
Suppose n - 3 + 0 = 0. What is the lowest common multiple of n and 8 + -7 + (-2)/(-1)?
3
Let m = 2 - -9. Let g(u) = -3*u - 6. Let n(l) = 2*l + 3. Let j(d) = -3*g(d) - 5*n(d). Calculate the lowest common multiple of m and j(-4).
77
Suppose -4*o + 20 + 6 = -2*h, -3*o = -12. Find the common denominator of 47 and (-2)/(-6)*117/h.
5
Calculate the lowest common multiple of 21 and 256/5 - ((-42)/15 - -3).
357
Let j(f) = 5*f - 1 - 4*f + 2*f - 4*f. Let z(v) = -2*v - 7. Let p(i) = -5*j(i) + z(i). What is the lowest common multiple of 10 and p(2)?
20
Let u be ((-3)/6)/((-2)/8). Suppose u*c - 2 = -0. What is the common denominator of 1/3*-43*c and -13/6?
6
Let d(h) = -2*h - 13. Let u be d(-9). Suppose 53 = u*b + 13. What is the lowest common multiple of 7 and b?
56
Suppose 5 - 30 = -5*t. Suppose -3*b + 3 + 1 = -2*m, t*m = -3*b + 11. Find the common denominator of (121/(-10))/(b/(-2)) and -57/8.
40
Let x = -4 - -13. Suppose -9 - x = 3*l. What is the common denominator of (-521)/14 - l/(-21) and 38/3?
6
Let d be (0 + 1)/((-2)/24). Let k = d - -19. Suppose -16 = -8*v + 4*v, 0 = 3*c - 3*v. What is the smallest common multiple of c and k?
28
Suppose n - 3 + 1 = 0. Let s = -13 - -21. What is the smallest common multiple of n and s?
8
Suppose -r + 47 = -p, 6*p - 4*p + 98 = 3*r. Let t = -25 - p. Suppose -g - 3*h - 7 = -t, 2*g + h = 12. What is the least common multiple of 6 and g?
30
Let v(u) = -5*u - 3. Let b(o) = 5*o**2 + o. Let p be b(-1). What is the least common multiple of ((0 - -2) + 2)*p and v(-5)?
176
Suppose 5 = 5*w + 20. What is the common denominator of -59/2 and w?
2
Let x(d) = d**3 - 6*d**2 + 5*d + 5. Let a be x(5). Let n = a + -3. Suppose 14 = n*c - 38. Calculate the common denominator of c and 42/11.
11
Let b(h) = -69 - h + 69. Calculate the lowest common multiple of 10 and b(-6).
30
Suppose 3*a - 1 - 6 = 4*y, 4*y = -3*a + 23. Suppose 8 = 4*f, y*w + 0*f = -f + 14. Calculate the smallest common multiple of w and 1/((2/2)/2).
6
Suppose 3*d + 2*l - 11 - 7 = 0, -d + 4*l = 8. Suppose -d*t = -0*w + 4*w - 80, 0 = 4*w - 3*t - 80. Calculate the smallest common multiple of w and 8.
40
Let p = 50 - 75. Suppose 3*x - j + 3*j = -47, 3*x + 55 = 2*j. Let m = x - p. Calculate the least common multiple of m and 8.
8
Let y(d) be the second derivative of d**3/2 - 5*d**2/2 - 3*d. Calculate the smallest common multiple of 10 and y(9).
110
What is the common denominator of 17/6 and ((-2)/21)/(9/(-42))?
18
Let f be (669/(-36))/((-94)/6). Let i be ((-3)/(-2))/((-94)/4). Let g = f - i. Calculate the common denominator of 35 and g