55 + 7 = -6*j. What is the smallest common multiple of j and i?
40
Let a be (3/(-3))/(1/(-17)). Suppose a = -5*m + 2. Calculate the common denominator of -59/6 and 97/m*(-6)/40.
60
Suppose 0 = -h - 2*q + 1, 3*h + 2*q + 1 = 24. What is the lowest common multiple of 1 and h?
11
Let j(u) = u**3 + 2*u - 1. What is the smallest common multiple of 10 and j(1)?
10
Calculate the common denominator of (-4)/(-6) + (-58)/33 and -23/9.
99
Suppose 0 = -3*i + 37 + 59. Let c = i - 14. Suppose 0 = 5*l - s - c, 3*s + 6 = 4*l - 4. What is the least common multiple of l and 22?
44
Let j(z) = -z**3 + 9*z**2 - 8*z - 4. Let d be j(8). Let k(n) = -n**2 - 6*n - 4. Calculate the lowest common multiple of 7 and k(d).
28
Let v = -3823 + 84137/22. What is the common denominator of 62/5 + (-1)/2 and v?
110
Let d be 1*(15 + -1 - 1). Suppose d + 1 = 2*w. Calculate the least common multiple of w and (-57)/(-4) + -3 - 3/12.
77
Suppose -3*c = 4*t - 25 - 5, 2*t - 6 = 0. What is the lowest common multiple of 8 and c?
24
Let y = -9442410 + 94537921/10. Let z = y + -11392. Find the common denominator of 6/15 + 59/5 and z.
10
Let o = -4 + 5. Calculate the lowest common multiple of o and 47.
47
Let l = 164/7 + -333/14. What is the common denominator of l and 13/4?
28
Suppose 0*m = -5*o - 2*m - 3, 0 = -4*o - 3*m - 1. Let g be (2 + o)/((-66)/(-494268)). Let k = 7484 - g. Calculate the common denominator of -67/2 and k.
22
Let i = 731/144 - -119/48. Find the common denominator of i and -61/4.
36
Find the common denominator of (8/(-100))/((-63)/(-770)) and 13/3.
45
Let h = 3 + -1. Suppose 28 = o + h*o - 2*g, -3*g - 6 = 0. Calculate the lowest common multiple of (-3 - 1)/(2 + -3) and o.
8
Let o(g) = 3*g**2 - 3*g**2 + g**2 - 3. What is the common denominator of 27/10 and o(5)?
10
Suppose 0 = -s - 4*x - 47, 0 = 4*s - 0*s - 3*x + 264. Find the common denominator of 1/(-10)*s/(-7) and ((-3)/4)/((-3)/98).
10
Suppose 0*w = -3*w + 6. Let y(r) = r. Let z be y(0). Suppose 3*g - 12 = -z*g. Calculate the least common multiple of w and g.
4
Suppose -4 - 4 = 4*j. Calculate the smallest common multiple of 1 and (j/(-3))/((-16)/(-24)).
1
Suppose -10*o + 32 = -6*o. Calculate the lowest common multiple of 11 and o.
88
Let v be (-4)/10 - 922/(-30). Let q = v + -44. Let d = -31023/806 - 4/403. Find the common denominator of q and d.
6
Let w = 5 - 0. Suppose -154 = w*j - 44. Calculate the least common multiple of 18 and 6/(-33) + (-356)/j.
144
Let r = -2331/4 + 575. Let h(o) = o**2 - o - 7. Let z be h(6). What is the common denominator of (-2)/(-4) - (z - -3) and r?
4
Suppose q - 2*q = -9. What is the smallest common multiple of 10 and q?
90
Let p be ((-6)/15)/((-1)/10). Suppose -7 = -n + p. Suppose -d - 2*u = 2*d - n, 3*d = -u + 16. What is the lowest common multiple of d and 3?
21
Suppose -z = -8 - 1. Calculate the lowest common multiple of z and 1.
9
Let k = 3053/150 - 51/50. What is the common denominator of k and -49/5?
15
Let s = -5/183 - 2354/915. What is the common denominator of s and 5 - (-18)/(-4) - (-393)/54?
45
Suppose 3*v + 3*g = 2*g + 8, 3*g = v - 16. Find the common denominator of (-12)/(-10)*v/32 and 3/2.
20
Suppose 0*x + 8 = x. Suppose 8*a - 127 = -15. Calculate the lowest common multiple of x and a.
56
Find the common denominator of 113/6 and 10/(3/(24/14)).
42
Let h = -10/2163 - 29335/4326. What is the common denominator of h and -17/16?
112
Suppose -23 = -3*l + 4. What is the least common multiple of 13 and l?
117
Let j = 43/11 - 625/22. Calculate the common denominator of (-22)/24 - (-2)/(-1) and j.
12
Let q = -22 - -11. Let o = q + 5. Calculate the least common multiple of (-5)/(-3) + (-2)/o and 3.
6
Suppose -q + 2*q = 0. Calculate the common denominator of (2 - 41)/(-5 - q) and -71/4.
20
Let r = 10 - 0. What is the smallest common multiple of r and 5?
10
What is the common denominator of 91/12 and (-20)/18 + 1 + 2/(-12)?
36
Suppose -3*t = -0*t - 24. Suppose -28 = -2*a + t. What is the lowest common multiple of -3 - (-19)/(2/6*3) and a?
144
Let d(f) = f**3 - 3*f**2 + 5. Let q be d(4). Suppose q = i + 1. What is the smallest common multiple of i and 6?
60
Let w = 31/30 + -1777/210. Calculate the common denominator of 642/140 - 4/14 and w.
70
Suppose 4 = i - 5. Let h = i + -1. What is the lowest common multiple of 4 and h?
8
Let z = 68 + -66. What is the lowest common multiple of z and 9?
18
Suppose -3 = 3*a, -3*f + 2 = -5*f + 2*a. Let z be (640/(-59))/(4/f). Let j = z - 9713/1062. Calculate the common denominator of j and 35/2.
18
Let v(h) = h**3 + h**2 + h - 380. Let m be v(0). Let s = m + 697/2. Let r = -1553 - -12377/8. Find the common denominator of r and s.
8
Let d = 2 - 1. Suppose 5*u - 31 = 4. What is the lowest common multiple of u and (-2 - -1)/d - -8?
7
What is the least common multiple of (0 - (-18)/5) + (-38)/(-95) and (2/(-3))/(4/(-6))?
4
Let j(o) = -4*o**2 + 2*o. Let l be j(-3). What is the lowest common multiple of 8/(-20) + l/(-5) and 12/(-9) + 74/6?
88
Let g(x) = -x**2 - 8 + 2*x**2 - 2 + 5*x. Suppose -32*m = -27*m + 40. What is the smallest common multiple of 2 and g(m)?
14
Let l(x) = x**3 + 2*x + 3. Let s be l(3). Suppose 0 = 5*u - 29 - s. What is the least common multiple of 8 and u?
104
Let v(a) = a**2 + 4*a - 3. Suppose 0*f - 6 = f. Let n = f - -10. Calculate the least common multiple of n and v(-6).
36
Let s = -432/11 - -3621/88. What is the common denominator of 71/14 and s?
56
Let l = 11577/4 - 2876. Let c be ((-2)/442)/((-3)/(-54)). Let o = -15190/1989 - c. Calculate the common denominator of o and l.
36
Calculate the common denominator of 35/6 and (-230)/12*(-45)/100 - -4.
24
Let j(z) = z + 15. What is the smallest common multiple of 9/(2 - 1) + -1 and j(-13)?
8
Let b = -1657/12 + 953/6. Find the common denominator of b and -19/6.
12
Suppose 0 = -3*q + 2*h + 2, -4*h - h - 18 = -q. Calculate the least common multiple of 2 - (3/(-3) + q) and 7.
35
Let x(g) = -53*g**2 + 2*g - 1. Suppose -4 = -2*k - 2. Let t be x(k). Calculate the least common multiple of 3 and 6/27 + t/(-9).
6
Suppose -4*g + 3*o + 61 = 0, 5*o + 12 = 2*g - 1. Calculate the least common multiple of g and 7.
133
Let k = -362/55 - -46/11. Calculate the common denominator of k and 6/(-9)*(-387)/(-42).
35
What is the common denominator of (-1)/((-1)/((-74)/3)) and 12/(-32) - (-1 + -1)?
24
Let y = -1234007/183582 - 4/10199. Calculate the common denominator of y and 345/(-36) + (2 - 0).
36
Find the common denominator of -55/2 and (-299)/(-1904) + 14/(-49).
272
Let q(a) = 1660*a**2 + 4*a. Let i be q(6). Let m be i/308 - (-1)/(-2). Let j = m + -1360/7. Find the common denominator of j and 35/12.
132
Let p(v) = v**3 + 4*v**2 + 2*v - 2. Let l be p(-4). Find the common denominator of ((-291)/15)/((-4)/l) and 12/56*(-134)/(-6).
14
Suppose -2*r = -s + 28, -4*s + 64 = 7*r - 3*r. Let w = -33 + 60. Suppose y - 2*b = w - 5, 0 = -2*y + b + 44. Calculate the smallest common multiple of s and y.
220
Let r = 29 - 64. Find the common denominator of (-22)/(-6)*60/r and -54/7.
7
Let a(n) = -3*n - 4. Suppose l = 5*t + 11 + 5, -2*t + 8 = -4*l. What is the least common multiple of 2 and a(l)?
8
Let t(c) = -9 - 4*c - 3 - 3*c**3 - 5*c**2 + 9. What is the smallest common multiple of t(-2) and 7?
63
Suppose 5*i = -2*w + 23, w = 5*i - 0*w - 26. Suppose 2*p - 52 = -d, 0 = i*d - 2*p - 291 + 91. What is the common denominator of d and 53/10?
10
What is the common denominator of 63/2 and (-2 + 17/5)*65/(-78)?
6
Suppose -4*s + 15 = -1. Suppose 0 = 5*z, -2*l + s*z = z + 10. Let h(b) = b**3 + 6*b**2 + 6*b + 6. What is the lowest common multiple of 11 and h(l)?
11
Suppose -5*g - 3*j + 100 = -7*j, -j = 0. Calculate the least common multiple of 2 and g.
20
Let x = 30544/7 + -4371. Let c = 1 - 7. What is the common denominator of (c/27)/(2/22) and x?
63
Suppose 9363 = -a + 4*a. Let l = a + -12405/4. What is the common denominator of l and (2 - 68)/((-32)/(-6))?
8
Let u = 6/311 - 1627/3732. Find the common denominator of -29*((-26)/28 + 1) and u.
84
Suppose 393 = q + 2*i, -q - 1171 = -4*q + 2*i. Suppose -3*u + q = 4*b, -u + 248 = 3*b - 39. Calculate the least common multiple of 7 and b/10 + (-30)/(-50).
70
Let w(t) = t**3 - 16*t**2 + 29*t + 4. What is the least common multiple of 242 and w(14)?
2178
Find the common denominator of -6*(0 