21.
7843
Suppose 1 = -x - 0. Calculate the common denominator of -1 - 13/3 - x and (92/(-14))/(720/(-756)).
30
Let s(j) = 20*j. Let y(z) = -22*z + 50. Let u(a) = 64*a - 151. Let t(q) = 6*u(q) + 17*y(q). What is the least common multiple of t(7) and s(1)?
140
Let h be (-3 - -4)*-14*(-3)/6. Suppose -p - 72 = -h*p. What is the lowest common multiple of p and 9?
36
Let b = 8 + -30. Let q = b + 38. Calculate the least common multiple of q and 6.
48
Let o = 134 + 11. Let k = 161 - o. What is the smallest common multiple of k and 32?
32
Let y be -1 + 4 + -23*11. Let h = y + 258. Let k = -23 - -33. What is the smallest common multiple of h and k?
40
Let t = -68 - -81. Calculate the least common multiple of t and 1.
13
Let k = 149 - 41. Calculate the common denominator of (-4)/k*498/8 and 47/30.
180
Let o = 4 - 2. Let v = -12189/4210 + -2/421. What is the common denominator of v and -5*(-2)/(-8) + o + -1?
20
Let s = 31 + -65/2. Let y = 77719/7130 + -1/3565. Find the common denominator of y and s.
10
Let p(r) = -r**2 - 11*r + 10. Let t be p(-11). Let o = t - 9. What is the lowest common multiple of 1 and o?
1
Let h = -30 + 35. Suppose h*s + 0*s = 50. What is the smallest common multiple of s and 6?
30
Let m be 0 + 1041/(-42) + 2. Let d = -86/7 - m. Calculate the common denominator of d and -23/8.
8
Let d = -42217/20 - -2110. Calculate the common denominator of -9/388 and d.
1940
What is the common denominator of -30/11 and -2 - (13950/168)/(-15)?
308
Find the common denominator of 6 - ((-9408)/(-180))/16 and 26/125.
375
Let y be 1/((-3)/(-43))*(-53529)/112. Let v = -6847 - y. What is the common denominator of -87/8 and v?
16
Let h = -2537 - -3783. What is the least common multiple of 2 and h?
1246
Let d be 4/(-18) + 114/27. Suppose -2*i = 2*k - 4 - 0, -k = -i - d. Find the common denominator of (-38 - 1)/(21 - i) and -57/16.
176
Let l be 2/12 + 8190/108. Suppose 0 = 4*n - l + 204. Calculate the common denominator of (1740/n)/((-81)/12) and -103/10.
90
Suppose -112*j + 0*j = -784. Suppose 2*i - 11 = -3*h + 4, 5*i - 30 = -5*h. Calculate the lowest common multiple of (18/i)/(2/3) and j.
63
Let y be 0*(-3 + 2 + 0). Suppose y*i - 3*i + 28 = 4*z, 20 = 5*z. Suppose i = -4*q + 28. What is the smallest common multiple of q and 5?
30
Let v(y) = -y**3 + 7*y**2 - 12*y + 57. What is the lowest common multiple of 42 and v(6)?
42
Let u = -2/643 + 104813/1286. Let c = -62 + 142. Let h = c - u. What is the common denominator of h and 81/2?
2
Let w be 1910/(-5) - -1*1. Let m be 22 + -22 + -1*35*-4. Find the common denominator of -35/18 and (-3)/(-7) - w/m.
180
Let n = 108513/17 - 6386. What is the common denominator of -28/9 and n?
153
Let w = -2/4981 + 473211/39848. Calculate the common denominator of w and -1/76.
152
Suppose 18*t - 20*t + 34 = 0. Let j = t + -1. Calculate the lowest common multiple of 16 and j.
16
What is the least common multiple of 1 and (-3)/4*(5 - 279/27)?
4
Let m = -196 - -983/5. What is the common denominator of m and ((-10)/12)/((-16)/(-15))?
160
Let u be (-923)/272 - (-8)/4. Let c = u - -12/17. Find the common denominator of c and -117/20.
80
Suppose 4*x = 80 - 8. Suppose 33 = 2*p - 7. What is the lowest common multiple of x and p?
180
Let z(f) = -5407*f - 3. Let m be z(-2). Let g = 108197/10 - m. What is the common denominator of g and 118*(-2)/(-176)*-2?
110
Let h be ((-42)/(-9))/7*-3. Let z(q) = -q**2 - 5*q + 8. Calculate the smallest common multiple of z(-6) and (-96)/20*15/h.
36
Let h = -14 - -36. Let n = 3 - 3. Suppose n = -2*p - 4 + 28. What is the smallest common multiple of h and p?
132
Let r = 47069/16 + -2937. Calculate the common denominator of 35/2 and r.
16
Let y be 2/(-7) + 16/7. Suppose 5 - 1 = y*o. Find the common denominator of -55/3 and 46/4*o/3.
3
Let i = -213645/32 - -6677. Let l = -373/288 - i. Find the common denominator of l and -89/15.
45
Suppose 3*b + 29 = -5*g, 2*b - g - 3*g = -12. Let k = 13 + b. Let w(p) = -p**3 - 4*p**2 + 11*p - 2. What is the smallest common multiple of w(-6) and k?
20
Let t = 214 + -213. Let s(c) = c**3 - 12*c**2 - 15*c + 29. Calculate the lowest common multiple of s(13) and t.
3
Suppose -6*f + 2*f = 16. Let s be (f - -2)/((-12)/(-30)). Let a = 21 + s. Calculate the least common multiple of 22 and a.
176
Let m(i) = i**3 + 20*i**2 - 9*i - 28. Let z be m(-18). What is the common denominator of 67/4 and ((-3)/4 + 0)/(345/z)?
20
Let r(a) = -10*a + 8. Suppose -4*p + 19 = 4*j - j, 4*p + 21 = 5*j. Calculate the common denominator of r(j) and 69/8.
8
Find the common denominator of -23/44 and 135/(-56) - 1/24.
924
What is the common denominator of -91/6 and (159/424)/((-1026)/(-118))?
1368
Suppose -3*n = -5*n + 10. Let z(f) = 0*f**2 + f + f - 6*f - 1 + f**2. Calculate the smallest common multiple of z(n) and 18.
36
Suppose -34*g = 33*g - 603. Calculate the smallest common multiple of 16 and g.
144
Let f be 5/(6321070/1269547666052) - -3. Let q = -73308818/73 + f. Let s = 4/1237 - q. Calculate the common denominator of s and -99/2.
14
Let x = 507 + -207. Calculate the least common multiple of 60 and x.
300
Suppose -31*q = -39*q + 48. What is the common denominator of 63/20 and (18/(-48))/((-4)/((-496)/q))?
20
Calculate the common denominator of ((-231)/(-189))/(2/(-15)) and -69/8.
24
Let m = -152095/13 - -44852022/3835. Let w = 15/118 - m. Let n = -25539/2510 - -69/251. Find the common denominator of w and n.
10
Let l = 5 + -2. Suppose -o - 4*o = 5*k - 30, 52 = 4*k - l*o. Calculate the least common multiple of k and 2.
10
Let j(g) = g**2 + 15*g + 15. Let r be j(-6). Find the common denominator of (-6)/r + (-2)/858*-181 and 137/18.
198
Let n = 1077 + -1072. Let w be (-12)/8*(3 - 1). Let p(k) = 2*k**2 + 2*k - 3. Calculate the lowest common multiple of p(w) and n.
45
Find the common denominator of 0 + 5 - (11501/1120 + -5) and -17/160.
160
Let h = -3/241 + -20955/964. What is the common denominator of h and -67/10?
20
Let v = 50/143 - -147/286. Find the common denominator of 4/28 + 663/(-84) + -7 and v.
44
Suppose 4*l - 32 - 43 = 3*x, 4*x = 3*l - 58. Let r(d) be the second derivative of -d**3/6 + 2*d**2 + 33*d. Calculate the lowest common multiple of l and r(-4).
72
Let x = -40 - -21. Calculate the least common multiple of (-684)/x*4/6 and 21.
168
Let w(z) = -z**3 + 5*z**2 + z + 7. Let a be w(4). Suppose g = -2*k + a, 5*k - 85 = -0*g + g. Calculate the lowest common multiple of k and 20.
80
Let t(d) = d - 8. Let k be t(10). Find the common denominator of 26/11*1/(-2) and 61/k + 3 + 0.
22
Calculate the common denominator of (-2)/(-7) - 461/70 and (6 - (-1280)/(-84))*(-5 + 51/12).
70
Suppose 2*s = -3*s - 5. Let j be 2773/(-294) + 4 + s. Let g = 36/49 - j. Calculate the common denominator of g and 21.
6
Suppose 2*a = -3*a - 2*v - 235, -3*v = -3*a - 120. Let x = 56 + a. What is the smallest common multiple of x and 9?
99
Let q(c) = c**3 + 25*c**2 - c - 4. What is the smallest common multiple of q(-25) and 9?
63
Let k(v) = v + 4. Suppose 3*b + 2*b = 40. Calculate the least common multiple of 20 and k(b).
60
Let f be (-25)/(-10)*(-16)/(-10). Find the common denominator of -89/8 and f + -1 + 114/(-180) + 2.
120
Let y(x) = x**3 - 17*x + 48. Calculate the smallest common multiple of 7 and y(3).
168
What is the common denominator of -7*(-6)/42 + (-141)/119 and -49/34?
238
Find the common denominator of (-13)/4*(-3)/(-4) and 1943/938*(-2)/2.
112
Let h(r) be the third derivative of r**4/24 + r**3 + 23*r**2. Calculate the smallest common multiple of h(-3) and 7.
21
Let l be 712/(-563)*(1 - -16). Let c = 1/1126 - l. Find the common denominator of 7/(-56)*1192/(-6) and c.
6
Let a(f) = 14*f + 30. Let d be a(-5). What is the lowest common multiple of 3 and (72/16)/(0 - 6/d)?
30
Let q be (486/1)/((-30)/(-20)). Calculate the common denominator of -16/7 and (111/2)/(q/48).
63
Let i = -20/17 - -729/85. Calculate the common denominator of i and (-1186)/60 + 6/(-15).
30
Let b(z) = -21*z - 22*z - 25 + 40*z. Calculate the lowest common multiple of b(-11) and 20.
40
Let v = 44 - 70. Let x = v + 34. What is the least common multiple of x and 8?
8
Let y(k) = k**2 - 10*k + 8. Let x be y(8). Let m be (-4)/x + 23/2. Find the common denominator of (m/(-16))/(18/(-15)) and 93/8.
8
Suppose -6 = 3*m + 2*d, -3*d = -9 - 0. Let o = m + 9. Wh