Let g = -20 - -17. What is the common denominator of 23/4 and g/(-7)*2/(-3)?
28
Let z(y) = -4*y + 3*y - 3*y + 3*y. Let a be z(1). Calculate the smallest common multiple of 6*a/6*-2 and 12.
12
Suppose 2*t - 1169 = -1165. What is the least common multiple of t and 82?
82
Suppose -3*y - 5*n = -31, 5 = -0*y - 5*y + 3*n. Suppose -8 = y*s + 3*w - 0, -3*s + 26 = -5*w. Calculate the lowest common multiple of 7 and s.
14
Suppose -3*m - 1 + 4 = 0. Let b(p) = 9*p**3 + p - 1. Let i be b(m). Let y = -4 + i. What is the least common multiple of 1 and y?
5
Suppose -j + 416 = 380. Calculate the lowest common multiple of j and 252.
252
What is the common denominator of 65/64 and -2 + (-315)/(-216) + -1?
192
Let h = 108 + -104. Suppose -h*j = -g, 9 = g + 2*j - 9. Calculate the smallest common multiple of g and 70.
420
Let d be (-3 + 4 + 5)/(-1). Let n(w) = 5*w**2 + 0*w**2 - 8*w + 3 + 0*w**3 - 4 + w**3. What is the smallest common multiple of 6 and n(d)?
66
What is the common denominator of (-243)/(-21384)*(-16)/6 and (100/(-18))/((-8)/(-6))?
66
Let d = 72 + -102. Let q = -10 - d. What is the least common multiple of q and 12?
60
Suppose 4*a + 13*a - 102 = 0. What is the smallest common multiple of a and 106?
318
Suppose 0 = 2*g - 4*r + r + 16, 3*r = g + 14. Let q be (-3 - g)/(46320/273844). Let x = q + -22/579. Find the common denominator of x and 51/14.
140
Let n(l) = -l - 16. Let a be n(-21). Let r = a + -1. What is the lowest common multiple of r and 14?
28
Let q be -2 + 16/(4/1). Suppose -r + 2670 = q*r. Let i = r - 2735/3. Find the common denominator of 47/9 and i.
9
Suppose 0 = 26*c - 21*c + 25. What is the common denominator of c and -77/2?
2
Let c be 7/(35/(-36))*-5. What is the common denominator of (-20)/(-22) - (-5 - -9) and 6/8*1120/c?
33
Suppose -5*o - 25 = -2*i, -33*i - o + 43 = -31*i. What is the lowest common multiple of 3128 and i?
15640
Suppose y = -0*y. Suppose y = -4*b - 5*v - 16, 0*b + 47 = -3*b + 5*v. Calculate the common denominator of b/(2 + 57/(-21)) and 26/5.
5
Let x = 380557/40 - 9516. What is the common denominator of x and 65/44?
440
Let j(b) = -3*b + 5*b - 11*b**2 + b**3 + 12*b - 6. What is the lowest common multiple of 20 and j(10)?
340
Let r = -4109/228 - -27/76. Let v = -6/1283 - -7156/981495. Let s = v + 5657/1530. Calculate the common denominator of s and r.
30
Let f = -56139657/16 + 3506054. Let h be (-16)/8 + 191*-14. Let y = h - f. What is the common denominator of 67/12 and y?
48
Let a = 246401/48 + -5132. What is the common denominator of -95/72 and a?
144
Let h be (-5988)/(-9)*(-6 - -3). Let m = h - -7937/4. Find the common denominator of m and 34/11.
44
Find the common denominator of -2 + (-56)/(-35) - 3448/(-6820) and -22/155.
1705
Let y(o) = o**3 + 3*o**2 - o - 2. Let s be y(-4). Find the common denominator of (-22)/s*(-189)/(-30) and 65/34.
170
Let x = -855639/11 + 79767. Let p = -1985 + x. Calculate the common denominator of (76/(-10) - 0) + 0 and p.
55
Let j(t) = -t - 3. Calculate the smallest common multiple of j(-5) and 2 - 1 - -5 - -4.
10
Let x = -8392 - -436361/52. Let t = -2/671 - -38251/1342. Calculate the common denominator of t and x.
52
Let j = -10006 + 4440. Let t be j/3 - (-6 - -4). Let k = -3665/2 - t. Find the common denominator of k and -53/10.
30
Suppose 5*x = 8*x - 24. What is the lowest common multiple of 7/(35/x)*5 and 11?
88
Find the common denominator of ((-5995)/880)/((-10)/8) and 59/62.
620
Let g = -45 + 85. Suppose -5*w - 66 = -3*d, -6*w + 3*w - g = -2*d. What is the common denominator of 77/6 and 77/15 + (-2)/w?
30
Let q(u) = u**3 - 10*u**2 - 10*u + 14. Let i be q(11). Let f be 2115/i - (-3)/(-5). Find the common denominator of -77/8 and f/(-20) - (-2)/(-4).
40
Suppose 118 = -5*q + 2*d, 2*d + 0*d + 58 = -3*q. Calculate the common denominator of 1 + 8/10 - (q + 21) and -59/5.
5
Suppose -3*f + 0*f = 72. Let t = 55021/8 - 6886. Calculate the common denominator of -4 - (0 - (0 - 14/f)) and t.
24
Let u = 73 + -178. Let v = -45 - u. Calculate the least common multiple of v and 18.
180
Suppose -6*k + 6 = -5*k. What is the least common multiple of (-182)/21*(k/(-2) + 0) and 22?
286
Let a = -992/5 - -1148/5. Let s = a + -2199/70. What is the common denominator of (6/(-180))/((-2)/35) and s?
84
Let u = 13990763/175 - 79949. Let s = u - -16/25. Let a = 3045 - 33520/11. Find the common denominator of a and s.
77
Let d = -327/2 - -160. Let m = -4036031/16 - -252374. Let o = m - 247/2. Find the common denominator of o and d.
16
Calculate the common denominator of (-27)/1485*415/2 and -15/8.
88
Let v = -56/57 + 11713/11400. Find the common denominator of -36/5 and v.
200
Let a be (-82)/(-33) - (-12)/54. Let d = 35/11 + a. What is the common denominator of d and -39/68?
612
Let i be (35/108)/((-332)/1410). Let l = i + 1/747. Calculate the common denominator of l and -85/14.
56
Let h(i) = i + 6. Let q be h(6). Calculate the common denominator of 210/275*45/q and 91/58.
638
Suppose -i - 4*m = -11, 5*i + 0*m = 3*m + 32. Let h(g) = 2*g**2 - 14*g + 4. Calculate the least common multiple of h(i) and 44.
44
Let r = 28 + -75. Calculate the common denominator of 1 - r/80 - 6/(-10) and 137/6.
48
Let i be (-12)/5*(-25)/10. Suppose 0 = -2*p + 4 + i. Suppose -p*s + 78 = y, 6*s - s = 2*y + 84. What is the smallest common multiple of 14 and s?
112
Let p(b) = 11*b**3 - 3*b**2 + 1. Let j be p(-2). Let v = -95 - j. Calculate the smallest common multiple of v and 36.
36
Let m = 48 - 53. Calculate the lowest common multiple of 14 and (-2)/(1/(2*m)).
140
Let b(j) = -2*j + j + 3*j**3 + 1 - j + 8*j**3. What is the least common multiple of 46 and b(1)?
230
Suppose -2*x = -3*h - 7, 0 = 4*x + 14*h - 12*h - 54. Suppose 0 = 3*v + 3*u - 40 - 2, 0 = 5*v + 3*u - 64. What is the smallest common multiple of x and v?
11
Suppose -51*z = -56*z + 100. What is the smallest common multiple of 756 and z?
3780
Let v be 1/(-2*(-4)/112) - -1. What is the lowest common multiple of 15 and v - -4 - (1 + (-12)/(-4))?
15
Let r = -438/125 - -28603/10125. Find the common denominator of -133/108 and r.
324
Let l = 1679/55 + -228/11. What is the common denominator of l and -51/52?
260
Let j = 30 + -21. Let u be 1/(-3) - 4074/j. Calculate the common denominator of 111/20 and u/(-4)*(-8)/(-36).
60
Suppose 0*t - 3*t = 36. Let z = 1/35 + 13/770. Find the common denominator of z and 202/(-24) + (-2)/t.
44
Suppose 8*b = -2*b - 600. What is the common denominator of 33/2 and (2/4)/(-5 + (-205)/b)?
38
Let j = -1110/43 - -27734/1161. Find the common denominator of j and (2/7)/(12/(-10)).
189
Let o = -15757/10 - -1574. What is the common denominator of -71/6 and o?
30
Suppose -1679 + 194 = 5*o. Calculate the smallest common multiple of (-8856)/o - (-4)/22 and 1/((-3)/(-39)) - 1.
60
Suppose -u - 4*h + 189 = -9*h, 8 = -4*h. What is the least common multiple of u and 35/4 - 3*3/(-36)?
1611
Let t(s) be the first derivative of -s**2/2 + 16*s + 3. Suppose -n + 5 = -4*g, -3*g + 4 = -7*g. Calculate the least common multiple of t(5) and n.
11
Let d be 5 + (-24)/18*(-6)/(-4). Find the common denominator of -53/3 and 11/(-8)*(d + 1).
6
Suppose 21*f + 203 = 455. Suppose -3*v = v - 48. What is the smallest common multiple of v and f?
12
Let f be (-6)/4 - (-20234)/(-6). Let j = f - -3365. Calculate the common denominator of j and 31/4.
12
What is the common denominator of 32/66*(3 - 4) and (-8)/(-6)*(-295)/120 - -3?
198
Let k(j) = -j**2 + 6*j - 12. Let q be k(3). Calculate the common denominator of -3 + 365/(-60) - q and -103/22.
132
Let v(i) = -3*i**3 - 2*i**2 - i. Let b be v(-1). Calculate the common denominator of (-147)/20 + b/8 and 4/30*(387/2)/(-3).
10
Suppose -1779 = -t - 3*t - 3*d, 4*t - 2*d = 1754. Let p = 1307/3 - t. Calculate the common denominator of p and (-133)/(-57) + 2/(3*2).
3
Suppose -197 - 55 = -18*f. Calculate the least common multiple of (-54)/15*(1 + -6) and f.
126
Let x = -9 + 4. Let i be 8/x*(-35)/(-14). Calculate the common denominator of -71/6 and (3/(-6))/(i/(-396)).
6
Suppose 7*p = 4*v + 3*p + 60, -4*p = v. What is the least common multiple of (0 + v/(-9))/((-18)/(-540)) and 8?
40
Let s(r) = -r**3 - 18*r**2 - 13*r - 2. Let u be s(-16). What is the lowest common multiple of u/(-10) + 18/(-30) and 4?
60
Suppose 0 = -0*k + 5*k - 270. Calculate the leas