m**2 + m - 1. What is the smallest common multiple of u and o(2)?
45
Suppose -2*t - 351 = -3*i, 135 = 3*i + 3*t - 201. Calculate the common denominator of -43/4 and i/(-6) + -1 + 2.
12
Suppose 0 = k, 0*x = -x + 3*k. Suppose 0 = -3*g - x*g + 33. What is the smallest common multiple of g and 6?
66
Let v(t) = -t**2 + 5*t. Let b be v(5). Suppose -2*l + b = -2. Calculate the lowest common multiple of 1 and l.
1
Let m = -2 + 5. Suppose -5*v - 16 = 54. Calculate the smallest common multiple of (1 - v) + m + -6 and 3.
12
Calculate the common denominator of 26/11 and (-18)/72 + 79/4.
22
What is the least common multiple of ((4 - 2) + -1)/((-5)/(-45)) and 7?
63
Let k = -85/4 + 99/4. Let t be 1 - 2 - (-1 + 4). Calculate the common denominator of ((-1)/t)/((-10)/(-74)) and k.
20
Let n = -197957/43576 - 1090/419. Let s = n + 59/26. Calculate the common denominator of s and 61/20.
40
Let p = 568063/6 + -95392. Let v = p + 725. Find the common denominator of -13/11 and v.
66
Suppose -2 = -q - 1. Suppose q + 49 = 5*h. Calculate the least common multiple of h and 16.
80
Let p be -1*-2*(-2)/4. Let j(q) = -11*q - 1. What is the smallest common multiple of 2 and j(p)?
10
Let k = -4 - 0. Let s = k - -4. What is the smallest common multiple of 8 and 7*(2 + (-1 - s))?
56
Suppose 2*c - 4 = -k - 0*c, -5*c - 5 = -5*k. Suppose 4 = 2*o - 6, 13 = -k*n + 5*o. What is the least common multiple of n and 4?
12
Let w be 6/(-27) - (-628)/(-9). Let s be (-2)/(-4) - w/4. What is the smallest common multiple of (1 - 0 - -1) + s and 4?
20
Let s = 16 + -8. What is the least common multiple of 12 and s?
24
Suppose -4*h - 110 = -9*h. What is the lowest common multiple of 6 and h?
66
Let v = 87802/19 + -413223/190. Let y = 2440 - v. Find the common denominator of (26/(-4))/(33/18) and y.
110
Calculate the least common multiple of 6 and -5 + (-4 + 18 - -1).
30
Let s(a) = -2*a + 6. Let t = 12 - -4. Calculate the lowest common multiple of s(-8) and t.
176
Let t = 86881/14676 - 4/1223. Let m = -427/90 - 7/10. Calculate the common denominator of m and t.
36
Let o be 26/10 + (-4)/(-10). Let x = o - 0. Suppose -z + 15 - 10 = 0. What is the smallest common multiple of x and z?
15
Let c(x) = -7*x**2. Suppose 4*r - 8 = 2*b, 0*r = -3*r - 3*b - 3. Let p be c(r). Calculate the least common multiple of (-2)/p - (-15)/21 and 6.
6
Let s = 2598 - 28609/11. Find the common denominator of s and 18/(-45) - 0 - 233/5.
11
Let r be ((9051/4)/1)/(-12). Let b = r + 193. Find the common denominator of (513/18)/(-7 - (-2 + 0)) and b.
80
Calculate the common denominator of 56/5 and (-1 - -2) + (-1330)/(-756).
270
Let m = -12 + 21. Suppose -4*p + 6 = -2*p. What is the least common multiple of m and p?
9
Let s be (-214)/12*302/4. Let m = s - -5465/4. What is the common denominator of m and (-1092)/480 - 2/(-5)?
24
Let h be (14 + 0)*147/(-14). Calculate the common denominator of 101/6 and (-3)/(-2)*h/27.
6
Let d(z) = -z**3 + 2*z + 1. Let f be 3/(-4) - 35/28. Calculate the smallest common multiple of d(f) and 11.
55
Suppose -y = -6*y + 50. Suppose 3*n = 2*v + 7, -2*n + 6*n + 2*v = 14. Let z = 23 - n. Calculate the lowest common multiple of z and y.
20
Let o(i) = -i**2 - 6*i - 1. Let f be o(-5). What is the common denominator of 32/(-6) + -1*2 and ((-3)/f)/(12/200)?
6
Let j be (-2 + 4)*(-9)/6. Let p = j + 14. Calculate the lowest common multiple of 11 and p.
11
Suppose -5*u - 1 = 4. Let j(m) = m. Let h(f) = 222*f. Let o(p) = -h(p) + 185*j(p). Find the common denominator of -52/7 and o(u).
7
Suppose -x + 5 = 4*l, 15 = -x + 4*x - 2*l. What is the lowest common multiple of x and 10?
10
Suppose -z - z = -18. Let v = 4 + -3. What is the least common multiple of v and z?
9
Let a = 78 - 25. Suppose 5*o + k = -0*k + 85, -3*o - k = -a. Calculate the smallest common multiple of 22 and o.
176
Suppose -2*m - 62 = -3*n + 2*m, -n + m + 21 = 0. Calculate the lowest common multiple of n and 20.
220
Suppose -15*c = -8*c - 189. Calculate the lowest common multiple of 3 and c.
27
Suppose -5*v + 10 + 10 = 0. What is the lowest common multiple of v and 15?
60
Let w = 3221 + 1654. Let m = -68323/14 + w. What is the common denominator of (1/(-24))/(3/(-618)) and m?
84
Let d = -1 - -49. Calculate the least common multiple of 8 and d.
48
Let t = -5 + 21. What is the least common multiple of t and 12?
48
Let t(f) = -2*f - 10. Let g be t(-8). Calculate the lowest common multiple of (-4)/g*6/(-4) and 8.
8
Suppose 0 = -5*r + 9*r. Calculate the common denominator of r + 170*(-1)/(-4) and (1 - 17/(-16)) + -1.
16
Let l = -63/20 - -27/4. Calculate the common denominator of -97/4 and l.
20
Let q = -11 + 16. Let c(z) = 6*z - 2. Let g(a) = 5*a - 1. Let m(t) = -4*c(t) + 5*g(t). Calculate the lowest common multiple of m(q) and 3.
24
Suppose -2*a = -0*a - 8. Suppose 2*h + 12 = 2*c, 13 = 2*c - h - 4. Calculate the smallest common multiple of c and a.
44
Suppose 5*f + 10 + 15 = 0, f + 53 = 3*d. What is the least common multiple of d and 18?
144
Let o(f) = -21*f**2 + 2*f + 1. Let h be o(-1). Let j = -950 - -1991/2. Calculate the common denominator of (-10)/(-6)*(-54)/h and j.
22
Suppose -7 = 2*b + 4*i - 1, 5 = -i. Let r = 131 - 122. Calculate the lowest common multiple of b and r.
63
Suppose 0*j = 2*j - 12. What is the smallest common multiple of 19 + -18 - -10*(-2)/(-2) and j?
66
Let y be (18/7)/(6/56). Suppose 0 = 5*d - y + 9. What is the lowest common multiple of d and 2?
6
Let c be (32/(-24))/(4/(-6)). Suppose 0 = -2*b - 4*d + c, -5*b + 5*d - 29 = 11. Find the common denominator of 37/2 and b.
2
What is the smallest common multiple of 28/49*(-14)/(-4) and 10?
10
Let w(n) = -3*n**3 - 3*n**2 - n. Suppose -5*f + 3*i = -0*i - 67, 0 = -3*f - 5*i + 47. Calculate the least common multiple of f and w(-2).
14
Suppose 2*h - 108 = -2*h. Suppose 0 = -3*v + h + 9. What is the smallest common multiple of v and 4?
12
Let u be 2/(-3) + (-4)/(-6). Let i(p) = p + 4. Let k = 3 - -8. Calculate the lowest common multiple of i(u) and k.
44
Let j(h) be the first derivative of h**4/4 - 2*h**3/3 + h**2 - h + 3. Let a be j(2). What is the common denominator of (-76)/(-3)*a/9 and -30/11?
99
What is the least common multiple of 2 and 41 - (-3 + (1 - (2 - 3)))?
42
Suppose x - 1 = -0. Suppose -3*t + 2*t = -3. Suppose w - 2*w - x = -t*s, -3*w + 39 = 5*s. What is the least common multiple of 1 and w?
8
Let k = 100063051/129132 + -11/14348. Let d = -781 + k. Calculate the common denominator of d and -35/8.
72
Let s(n) = -n**3 + 6*n**2 - 4*n - 4. Calculate the least common multiple of s(5) and 10.
10
Suppose 0 = -l + r + 25, r - 5*r = l - 15. Let d = l + -1. Let j(u) = u + 4. Calculate the lowest common multiple of j(0) and d.
44
Let i be (-78)/5 + (-2)/5. What is the common denominator of (-190)/i + (-3)/6 and -53/3?
24
Let t = -18657/1298 + 604/59. Let k = 3645/4 - 919. What is the common denominator of k and t?
44
Let u(v) = v**3 + 2*v**2 - 2*v - 1. Let n be u(-2). Suppose 18 = 5*w + n. Calculate the common denominator of 15/14 and (-1)/w - (-355)/(-150).
70
Let b = -6 - -12. Suppose 0 = 2*y + y - 12. Suppose y*l + j = 31, 2*l + j = b*j - 1. What is the least common multiple of 10 and l?
70
Let n = 21 + -8. Let v = n - 22. Calculate the common denominator of -73/2 and (v + -1)/((-12)/14).
6
Let n(c) = 3*c - 4. Let f be n(-4). Let j be (2 + f/6)*3. Calculate the smallest common multiple of (-25)/j - 3/6 and 20.
60
Let q = 13749/5236 + 5/476. What is the common denominator of q and (53/4)/(-5 + 6)?
44
Let c = 10 + -6. What is the least common multiple of 10 and c?
20
Suppose -24 = 2*a - 6*a. Let c(z) = z**3 + 6*z**2. Let g be c(-6). Let u = 20 + g. What is the lowest common multiple of u and a?
60
Find the common denominator of ((-9)/(-40))/((-3)/78) and -35/3.
60
Find the common denominator of -11/6 and ((-5)/((-450)/122))/(2/(-6)).
30
Let c(q) = -5*q - 2 - 4 + q - 2. What is the smallest common multiple of 16 and c(-6)?
16
Let n = -2404 - -12077/5. Let i = -19 + n. Calculate the common denominator of i and -1 - 186/16*-1.
40
Let l(c) = 3*c + 7. What is the lowest common multiple of 12 and l(5)?
132
Let t = 15 + -12. Suppose -2*v + 5*w + 30 = 0, v - 36 = -2*v + t*w. Calculate the smallest common multiple of v and 22.
110
Let a(q) = -q**3 - 15*q**2 + 16*q - 2. Let y be a(-16). Let v