3 + 8*l**2 - 6*l + 5. Let a be i(7). Let f = a - 9. Calculate the lowest common multiple of 10 and f.
30
Calculate the common denominator of 145/(-6)*(-6)/(-12) and -29/3.
12
Let p be 1715/(-888)*(-70)/25. Let r = -13/74 - p. Calculate the common denominator of r and (154/(-5))/(2*-4).
60
Suppose -2*x - 19 = -3*x + 3*k, -4*x = 5*k + 9. Suppose 5*w + x*l - 12 = 4*w, 4*w - 29 = 3*l. Calculate the lowest common multiple of 42 and w.
168
Suppose -3*k + 7 = 1. Let f(a) = 2*a**2 - 2*a - 2. Calculate the smallest common multiple of k and f(3).
10
Let d(o) = 2*o**2 - 2*o - 1. Let p be d(-1). Suppose -4*f = -2*w + 12, -3 = 3*w + p. Let n = f - -5. What is the smallest common multiple of n and 10?
10
Let y(v) = 10*v + 1. Let u be y(-1). Calculate the common denominator of -43/10 and u/25*(-30)/4.
10
Suppose -16*x + 192 = -4*x. Calculate the least common multiple of x and 8.
16
Let i = -58 + 98. Suppose 0 = 4*m - 4*b - 0*b - i, -m + 3*b + 2 = 0. What is the lowest common multiple of 12 and m?
84
Let c(h) be the second derivative of -h**5/20 - 5*h**4/6 - 3*h**3/2 + 9*h**2/2 - 10*h. What is the lowest common multiple of 4 and c(-9)?
36
Let l(q) = 2*q**2 - 2*q - 8. Calculate the lowest common multiple of l(4) and 14.
112
Let b = -820787 + 6557347/8. Let u = -1122 - b. What is the common denominator of u and 13/8?
8
Let g be (-3 - 51/(-9))*3. Calculate the smallest common multiple of ((-10)/(-5))/(2/g) and 16.
16
Suppose -i + 2 = 1. Calculate the lowest common multiple of (3 + -3 + 1)*i and 6.
6
Suppose -3*z = z - 44. Suppose -41 = -4*q + u, -3*q + 47 = q + u. Calculate the lowest common multiple of z and q.
11
Suppose -l + 9 = 2*l. Calculate the common denominator of (-138)/4*l/33 and -39/8.
88
Let d = 73 - -9. What is the least common multiple of 8 and d?
328
Let a = 5 + -3. Let y(t) = t**3 + 4*t**2 + 4. Let r be y(-4). Let u = r + -3. What is the lowest common multiple of u and a?
2
What is the common denominator of (1/9 + 0)/(2/(-14)) and -52/11?
99
Suppose -11*i = -16*i + 165. What is the common denominator of i and -53/3?
3
Let i = -6591 + 52651/8. Calculate the common denominator of (-2)/3 + 11/9 and i.
72
Let v be (-4952)/(-14) - 8/(-28). Let r = v + -2015/6. Calculate the common denominator of -53/9 and r.
18
Let q = -1895/4 - -497. Find the common denominator of 27/10 and q.
20
Let d(l) = -l**3 - 5*l**2 + 4*l + 4. Calculate the least common multiple of d(-6) and 8.
16
Let w(f) = f + 8. What is the smallest common multiple of w(-7) and 2?
2
What is the common denominator of (-2 - 0)*(-89)/12 and 51/4?
12
Let i(k) = -k**2 + 9*k - 10. Calculate the smallest common multiple of i(7) and 24.
24
Suppose -o = f + f - 2, 3*o = -3*f + 9. Suppose 2*c - 6 = o*c. Let l = 11 - c. What is the lowest common multiple of l and 12?
84
Let b = -192307/42160 + -3/2635. What is the common denominator of -47/16 and b?
16
What is the common denominator of (-18)/30 + 421/10 and 49/2?
2
Let v(x) = -x**2 + 8*x - 6. Let w be v(5). Suppose 5*s = -m + 2*s + w, 4*s + 30 = m. Suppose -y - 5 + 21 = 0. Calculate the smallest common multiple of y and m.
144
Let g(s) = -106*s. Let m be g(-1). Find the common denominator of (-7)/(-42)*(-1 - m) and (-2)/(-6) + (-74)/36.
18
Calculate the lowest common multiple of (12/(-2))/(2 + 35/(-10)) and 26.
52
Let j = -11/159 + -11201/1272. What is the common denominator of j and 61/8?
8
Suppose -3*i - 76 = -3*h + 2, h - 5*i - 10 = 0. Calculate the least common multiple of h and 2.
30
Calculate the common denominator of 25/21 and (20/(-35))/(45/21).
105
Let m(p) be the third derivative of p**4/24 - 2*p**3/3 + p**2. Let o be m(5). Find the common denominator of ((-23)/4)/(o/(-6)) and 19/10.
10
Suppose 4*a - 74 = -2. Calculate the lowest common multiple of a and 1.
18
Let h = -519/11 - -534/11. Let g be 0 + (-2 - (-2078 + 0)). What is the common denominator of h and (-6)/8 - g/(-144)?
33
Let c(f) = -f**3 - 6*f**2 - 6*f - 6. Let y be c(-5). Find the common denominator of y/(-1 - (-34)/30) and 41/16.
16
Let g(o) = -o. Let x be g(4). Let i be x/(-14) + 5252/(-56). Let z = i - -635/6. Calculate the common denominator of -59/3 and z.
3
Calculate the common denominator of ((-62)/(-2))/((-60)/8 - -3) and (1/(-10))/((-1)/(-63)).
90
Let f = -14 + 35. What is the least common multiple of 3 and f?
21
Suppose -f = -5*q + 47, -7*f - 11 = -2*q - 4*f. What is the least common multiple of q and 4?
20
Suppose 0*y = -3*y + 18. What is the least common multiple of 2 and y?
6
Let y = -45349/6 - -7539. Suppose -2*g - 2*m + 9622 = 0, -5*g + 0*g - 3*m = -24053. Let z = g + -33613/7. Calculate the common denominator of y and z.
42
Let a = -10 - -14. Let b = 7 + -2. Calculate the least common multiple of a and b.
20
Let p = -98/3 + 253/6. Let d be (-4193265)/(-71690)*1/(-30). Let o = d - 2/7169. What is the common denominator of o and p?
20
Suppose -5*y - 5*b + 20 = 0, 2*y - b + 6*b - 20 = 0. Suppose -f + 1 + 2 = y. Let w(x) = x + 9. What is the smallest common multiple of w(-3) and f?
6
Calculate the common denominator of 61/9 and (-89)/(-6) - (-3 - 1).
18
Let n be -1 - -1 - (3 - 1202). Let q = 10762/9 - n. Find the common denominator of q and -43/8.
72
Let p = 154 + -509/3. Let x(h) = h**2 - h - 4. Let f be x(5). Let a = f - 7. Calculate the common denominator of a and p.
3
Let a = 5 + -3. Let r = 4 - a. Calculate the common denominator of 8/11 and 115/(-18) + r/4.
99
Let g = 1/702 + 11575/5616. Let w be 4/(-24) - (-767)/(-528). Let q = w - g. What is the common denominator of q and -17/10?
110
Suppose -2 + 4 = 2*p. What is the least common multiple of (4*6/36)/((-2)/(-42)) and p?
14
Let x(z) = z**3 - 4*z**2 + z - 1. Let a be x(4). Suppose -o + 1 = -a. Calculate the lowest common multiple of o and 2.
4
Let t = 387151/22 + -17594. Calculate the common denominator of t and -145/6.
66
Let i = -9608 - -1729337/180. Find the common denominator of 37/20 and i.
180
Suppose -2*z = -r - 26, 4*z - 52 = -r - 4*r. Let a = -7 + z. Suppose j + a = 2*j. What is the least common multiple of 4 and j?
12
Let u = 11 - -1. Calculate the least common multiple of 44 and u.
132
What is the common denominator of 12/(-16) + (-319)/(-188) and 38/5?
470
Let k = -299/84 + -67/21. Find the common denominator of k and 27/11.
44
Let v = 15354 - 29721/2. Let p be (29499/(-9))/(40/(-6)). Let x = v - p. Find the common denominator of -95/6 and x.
60
Let l be 3 - 6*3/6. What is the common denominator of (0 - (-43)/16) + -2 and 42/20 - (-3 - l)?
80
Suppose 5*n = 3*v + 76, 6*n + 4*v - 62 = n. What is the least common multiple of 18 and n?
126
Let h be 6/9*(-7 + -2). Calculate the common denominator of (82/33)/(h/9) and (1/6)/(1/4).
33
Let b(a) = a + 1. Let v be b(3). Suppose -v*k + 0*k = 0. Suppose -5*x + n = -14, -2*x + k*x = -5*n - 1. What is the least common multiple of x and 5?
15
Calculate the common denominator of ((-11)/7)/(-1)*(-350)/60 and -3/10.
30
Find the common denominator of (24/28)/(22/84) and -43/10.
110
Suppose -6 = -3*m - 0*m. Let k(h) = -h - h**m - 2 + 0 + 2*h**3 + 0*h. Calculate the smallest common multiple of 8 and k(2).
8
Let m = 13 + 9. Suppose 2*d = 104 + 8. Suppose -3*n + d = n. Calculate the lowest common multiple of n and m.
154
Let t(d) = d - 7. Let h be t(10). Suppose 5*q + 15 = l, q - h = -l - 0*l. What is the smallest common multiple of l and 9?
45
Let q be (-1)/(-2*(-2)/(-12)). Let o(j) = -j**2 + 4*j - 1. Let u be o(3). Suppose u*r = -r + q. Calculate the lowest common multiple of r and 5.
5
Let z = 35 - 17. Let c(w) = -w - 5*w + 12 + w + w**2 - 4*w. Calculate the lowest common multiple of z and c(8).
36
Suppose -5*r + 4*r + 43 = 0. Let o be (-406)/394 - (-1 + 0). Let g = o - -2812/1773. Calculate the common denominator of g and r.
9
Calculate the common denominator of ((-36)/35)/(12/(-90)) and 101/4.
28
Suppose -5*h - z - 11 = 0, 5*h + 5*z + 12 = -3. What is the lowest common multiple of 2 and h/(-2)*(14 + 2)?
16
Let x = 2991/4 + -32803/44. Calculate the common denominator of 127/18 and x.
198
Suppose 4*f = -5*m + 52, 0 = 2*m - 7*m + 20. Find the common denominator of (-14)/f - 2/(-2) and -69/16.
16
Calculate the common denominator of ((-74)/4)/((-77)/14) and -32/3.
33
Calculate the lowest common multiple of 12 and 3 - (0 + -4 - -7)*-19.
60
Let a(b) = -8*b**2 + 11 - b + 0