t is the common denominator of (-84)/(-28) - 31/(-4)*2 and -23/7?
14
Suppose 0 = -8*g + 3*g + 80. Let d(n) = n**3 - 39*n**2 + 39*n - 36. Calculate the smallest common multiple of g and d(38).
16
Find the common denominator of (-1)/4 - 290/(-56) and 3 - ((-141)/(-48) + 4).
112
Let p(y) be the first derivative of -20*y**3/3 - 9*y**2/2 - y + 3. Let v be p(-6). Let b = 4657/7 + v. What is the common denominator of b and -46/3?
21
Suppose 44 + 212 = 16*b. What is the least common multiple of b and 8?
16
Let p(n) = 4*n**2 + 8*n - 4. Let f(a) = -a**2 - a - 1. Let u(j) = 2*f(j) + p(j). Calculate the least common multiple of u(-5) and 20.
140
Let f be (-2)/(-3) + (-33700)/(-3984). Let g = f + -128/83. Calculate the common denominator of -1/12 and g.
12
Let d be 151547/55 + 4/(-10). Let y = d - 11105/4. Calculate the common denominator of y and 23/(-2) + (-2)/(-6).
12
Let k = 25/78 + 464/195. Let l be 6 + (-2 - -1) - 1. What is the common denominator of l/(-6)*(-207)/15 and k?
10
Let b = 21670/9 - 2412. Let k = -3/754 - -21139/6786. Calculate the common denominator of k and b.
9
Suppose -4 - 26 = 5*o. Let i = -1/548 + -6847/1644. Calculate the common denominator of i and (-9)/132*(-428)/o.
66
Let a = 237/2 - 435/4. Find the common denominator of a and 3/11.
44
Let z(p) = -p**2 - 14*p + 16. Calculate the lowest common multiple of z(-14) and 14.
112
Calculate the common denominator of 242/72 - (-63)/(-84) and 67/42.
126
Let j be (-4)/(-8) - (-1)/(-2). Suppose j = -t + 2. Calculate the lowest common multiple of 2 and t.
2
Let o be (-14)/3*18/(-7). Suppose -2*w = 2*w - o. Suppose w*t = -t + 72. What is the smallest common multiple of t and 22?
198
Let g = 16 + 6. Let a = -11 + g. What is the smallest common multiple of a and 3?
33
Calculate the common denominator of 798/(-112) + (0 - 0) and 382/30 - 1/3.
40
Suppose 2*v - v - 3 = 0. Suppose u = -0 + v. Let a(z) = z**2 - 2. Calculate the least common multiple of 2 and a(u).
14
Suppose 17 = i - 1. What is the smallest common multiple of 8 and i?
72
Let k = 11 + -87/4. Find the common denominator of -27/76 and k.
76
Let z be 40/36*2/292. Let m = -17629/14454 - z. Calculate the common denominator of m and -19/20.
220
Let a(k) = -6*k - 5*k**2 + 2*k**2 + 3*k**2 + k**3 - 3*k**2. Let u(g) = 10*g**2 + g + 1. Calculate the lowest common multiple of a(5) and u(-1).
20
Let n(m) = -954*m**3 + 2*m**2 - 1. Let q be n(-1). Let s = -5837/6 + q. Find the common denominator of (-298)/(-42) - (-2)/(-3) and s.
42
Let v(j) = -2*j + 38. What is the smallest common multiple of 7 and v(16)?
42
What is the least common multiple of 20 and ((-36)/(-10))/(3/15)?
180
Suppose -4 = -s - 2. What is the common denominator of (3*s)/((-10)/7) and -49/4?
20
Let d = 35 + -15. Suppose 0 = m + 19 - 29. What is the smallest common multiple of d and m?
20
Let a = -482 + 796. Find the common denominator of -31/6 and (-7)/(-21) + a/12.
6
Suppose 2*d = -3*f + 64, 32 = 2*d + 5*f - 10*f. Let l = 13 + -3. What is the lowest common multiple of d and l?
130
Suppose 4*x = 4 - 36. Let k(w) = 2*w - 8. Let g(r) = 5*r - 22. Let i(y) = 3*g(y) - 8*k(y). What is the least common multiple of 4 and i(x)?
12
Let v = -83 + 53. Calculate the common denominator of ((-23)/v)/((-40)/250) and 23/14.
168
Let y = 20 - 11. Let b = -969/335 + -1/134. Find the common denominator of b and (234/12)/(y/(-5)).
30
Suppose 17 = s - 3*y - 27, -s - y = -24. What is the common denominator of s*(-2)/(-28) + 0 and 67/14?
14
Let x(g) = -g**3 - 6*g**2 - 4*g - 8. Let u be x(-6). Suppose 4*w + 5*m = u - 5, -4*w + 2*m = 10. Calculate the common denominator of w and 25/6.
6
Let p(c) = c**3 - c - 2. Let s be p(2). Suppose s*y = -192 - 96. What is the common denominator of 11/6 and (-5)/(110/y) - 2?
66
Let d(y) = y**2 - 3*y. Let q be 2/(-5) - (-960)/25. Let j = q - 20. Calculate the smallest common multiple of d(4) and j.
36
Let b = -25542 - -562025/22. Let r = 122415/15722 - 4/7861. Calculate the common denominator of b and r.
154
Suppose -2*t - 20 = 26. Let w = -22 - t. What is the lowest common multiple of 1 and w?
1
Let p be ((-6)/(-22))/(3/26). Let c = p - -197/33. Find the common denominator of -51/2 and c.
6
Let l(u) = -u**3 + 5*u**2 - 2*u - 4. Let t be l(4). Suppose n - 5*r = -t, 0*n + 52 = 4*n - 3*r. What is the lowest common multiple of 10 and n?
80
What is the common denominator of (6/(-75))/((-8)/610) and 1172/(-144) - 2/18?
20
Let v = 8 + -5. Suppose d - q - 8 = -v, 10 = 3*d + 2*q. Let l(h) = 18*h**2 + 2*h - 2. Calculate the lowest common multiple of d and l(1).
36
Calculate the smallest common multiple of 26 and (1/(-3))/(1/(-36)).
156
Suppose 0*c = -4*t + c + 58, 2 = -c. Let p = 0 + 2. What is the least common multiple of p and t?
14
Suppose -5*m = -71 + 281. Let j be 1*5/((-10)/m). Let o = j + -11. What is the smallest common multiple of o and 9?
90
Let j = -1176 - -7013/6. Find the common denominator of (-2)/(-9) - (-37758)/(-1512) and j.
12
Let s(j) = j**2 - 5*j + 1. What is the lowest common multiple of 5 and s(-4)?
185
Let o be (-144)/(-2)*(-10)/(-15). Let h be -1*1*(1 - o). Find the common denominator of ((-2)/8)/1*h and 85/2.
4
Let r = 8/99 + 613/990. Let j = 52013/20 + -2603. Calculate the common denominator of j and r.
20
Let g = -98/113 - -16069/678. What is the common denominator of g and -19/6?
6
Let q = -861497/24 - -35890. What is the common denominator of 2*1/4*(-452)/24 and q?
24
Let k = 12 - -8. Calculate the least common multiple of 78 and k.
780
Let i = -347 - -3821/11. What is the common denominator of 61/3 and i?
33
Let q = -11364883/30 + 1142467/3. Let s = q - 1990. Find the common denominator of 40/7 and s.
70
Let h(q) = 15*q**2 - 2*q - 1. Calculate the smallest common multiple of 10 and h(-1).
80
Suppose 0 = 5*r - i - 16, 0*i + 9 = 4*r + 3*i. Calculate the least common multiple of 7 and r.
21
Suppose -3*y - 19 = 14. Let v = y - -7. Calculate the common denominator of -33/20 and (-1678)/252 + v/14.
180
Let b be (-2)/(-8) - (-29)/2. Let l = -85/12 + b. Let i = 1/44 + -431/88. Find the common denominator of i and l.
24
Suppose -4*s + 4*j - 8 = 8, 60 = -5*s - 3*j. Calculate the least common multiple of 2/s - 22/(-18) and 4.
4
Suppose 0*k = -k + 14. What is the smallest common multiple of 12 and k?
84
Let w = 5 + -4. Suppose 0 = 2*g + i - 7, -2*i = 5*g - w - 14. What is the least common multiple of ((-10)/4)/(1/(-2)) and g?
5
Let x be (6/(-2))/((-2)/(-6)). Let q(y) = -y - 9. Let m be q(x). Suppose -g + 23 = -3*a - m*a, 3*a = 3*g - 45. What is the smallest common multiple of g and 5?
55
Let c be ((-90)/12)/((-3)/8). Let o be c/6*(0 - 3). What is the smallest common multiple of (12/o)/(9/(-60)) and 1?
8
Let g = 15 - 45. Calculate the common denominator of 81/2 and (g/(-9))/((-24)/14).
18
Suppose -2*h = -0*h - 14. What is the lowest common multiple of 2 and h?
14
Let c = -83/130 - -7/13. Calculate the common denominator of c and 47/16.
80
Let t(f) = -f + 7. Suppose 0 = -4*c + 16, 0*o - 35 = -o - 4*c. Let x = o + -5. Calculate the least common multiple of x and t(-7).
14
Calculate the common denominator of (13/(-13))/(34/90) and 9/5.
85
Suppose 0 = 67*z - 70*z + 54. What is the least common multiple of 42 and z?
126
Let y = 4711/219 + -988553/37230. Let k = 152/17 + y. Calculate the common denominator of k and 12/5.
10
Let f(d) = 12*d + 2. Let l be f(-6). Calculate the common denominator of 113/6 and (1239/l)/(12/(-10)).
12
Let p = -611/88 + 3/44. Find the common denominator of 57/10 and p.
40
Let r = 21 - 14. Calculate the smallest common multiple of 7 and r.
7
Suppose -2*f = -f. Suppose 2*w - c = -0*c + 236, f = 3*c - 12. Calculate the common denominator of -51/16 and (-34)/w*6/(-2).
80
Let x = -14 - -8. What is the lowest common multiple of 2 + x*2/(-6) and 11?
44
Let h = -27 - -57. What is the common denominator of 2 + (1 - (-393)/18) and h?
6
Find the common denominator of 55/16 and 3*(-2)/6 + 38/(-20).
80
Calculate the common denominator of 242/120 + 12/(-20) and 145/6.
12
Suppose 4*t + t - 50 = 0. Let b(v) = -2*v**2 - 5*v - 2. Let a be b(-3). Let z = a + 13. Calculate the lowest common multiple of t and z.
40
Suppose 3*k = -6 + 24. Calculate the lowest common multiple of k and 10.
30
Suppose -h = 2*c - 6*h + 11, c - 4*h + 10 = 0. Let k(z) = 2*z**3 - 2*z**2