697/312. Calculate the common denominator of a and 29/10.
390
Let v(n) = -41*n**3. Let r be v(1). Let x = r + 69. Calculate the common denominator of (-10)/4*(-20)/x and -95/14.
14
Let m(i) = 2*i - 3. Suppose -y - 3 = -2*y. Let c be y/12 - (-19)/4. What is the least common multiple of m(c) and 19?
133
Suppose -40*d + 5*d = -3465. Calculate the least common multiple of d and 22.
198
Suppose -10*n - n = -638. What is the smallest common multiple of 20 and n?
580
Suppose 0 = k - 172 - 894. Suppose k = -4*w + w + q, -w - 3*q = 342. Find the common denominator of -31/7 and w/4*(-4)/12.
14
Let q(k) = k**3 + 24*k**2 + 60*k - 42. Calculate the lowest common multiple of 294 and q(-21).
294
Let q(j) be the second derivative of j**5/20 + 11*j**4/12 - 5*j**3/3 + 8*j**2 - 4*j. Let p be q(-12). Find the common denominator of 1 - 50/p*-1 and 59/26.
52
Let c be 5/((-1)/(-2)*5). Suppose -5*d + 40 = 3*q, -9*q - 16 = -c*d - 4*q. Let m(k) = k**2 - 2*k + 1. Calculate the smallest common multiple of m(3) and d.
8
Let r = -130 + 59. Let k = r + 92. Calculate the least common multiple of k and 33.
231
Find the common denominator of -17 + (-996)/(-60) + (-457)/(-80) and (93 + 0)/(10 + -2).
16
Let g(z) = -4*z - 24. What is the lowest common multiple of g(-11) and 118?
1180
Suppose 0 = 6*i - 0*i - 12. Suppose -5*k + i*m + 1584 = 5*m, 0 = -m - 2. What is the lowest common multiple of 22 and 2/(-13) - k/(-39)?
88
Let s = -6 + 12. Let b be 571748/144 + s/(-27). Let q = b + -3945. What is the common denominator of 17/5 and q?
20
What is the smallest common multiple of 1*412 - (-66 - -62) and 9?
3744
Suppose 0 = k - 10 + 8. Suppose 4 = k*y - y. Suppose -4 = 9*j - 40. Calculate the smallest common multiple of j and y.
4
Let j be (5 - 2)*55*16/48. What is the common denominator of -47/10 and (j/(-32))/(24/(-32))?
120
Let y = 54 - -24. Let f = y + -71. Calculate the lowest common multiple of f and 4.
28
What is the common denominator of -157/198 and (-524)/24 - (8 - 7 - 2)?
198
Let b be (-482)/(-4 - -2) + 2. Suppose 77 = 4*m - b. Suppose -4*i + m = -0*i. What is the lowest common multiple of i and 6?
60
Let b be 9958*7/196 - 1/(-2). Let o = 44699/126 - b. Calculate the common denominator of 38/9 and o.
18
Let j be ((-117)/6)/(45/(-865)). Let t = j + -997/3. Calculate the common denominator of -21/22 and t.
22
Let d(n) = -3*n - 2. Let i be d(-2). Suppose 0 = -5*u + 1 + i. Suppose -5*f = -51 + u. What is the lowest common multiple of f and 18?
90
Let s = -79 + 88. What is the common denominator of 68/(-24)*3/5 and s?
10
Let s(a) = -2*a**2 - 8*a - 10 + 2 + 43*a - 20*a. Calculate the lowest common multiple of s(6) and 2.
10
Suppose 4*r + 17 = -f, -2*r - 7 = 3. Suppose 2*d + f*o + 11 = 2*o, -3*o = -3. Calculate the common denominator of 73/10 and (97/(-16))/(3/d).
40
Let o = 32 + 78. Let z = -109 + o. Calculate the smallest common multiple of z and 5.
5
Suppose 2*b = -8*t + 4*t + 64, 5*b - 178 = -t. What is the least common multiple of b and 2?
36
Let w = 715 + -7173/10. Let t(a) = -a + 2. Let x be t(2). What is the common denominator of x + (-146)/(-16) + -1 and w?
40
Let b be (2/(-4))/((-65)/(-60) + -1). What is the common denominator of -4 + b/11 - 0/2 and 67/3?
33
Let p = -2893 + 2917. What is the lowest common multiple of p and 1/(0 - 1) - -7?
24
Let m = 163 - 136. What is the smallest common multiple of 279 and m?
837
Let y be 20/(5/1) + 19. Let u = y - 241/10. Find the common denominator of 49/2 and u.
10
What is the lowest common multiple of 162 and (6 + 0)/(((-14)/(-21))/2)?
162
Suppose 5*c + i - 184 = 0, 2*i + 5 = 13. Let d(r) = -r**2 - 16*r - 19. What is the lowest common multiple of c and d(-13)?
180
Find the common denominator of 19/162 - (26/4)/(-13) and -10/27.
81
Let b be 54/(-10) - (-3)/(-5). Let t be (b/9)/((-12)/594). Let i = -21 + t. Calculate the smallest common multiple of 14 and i.
84
Let n(v) = 8*v + 67. What is the lowest common multiple of 63 and n(-4)?
315
Let h = 17469/7 + -2501. Let n(v) = -3485*v + 3. Let a be n(3). Let l = a - -104623/10. What is the common denominator of l and h?
70
Let k(h) = h**2 - 9*h. Let o be k(7). Find the common denominator of (-10*3/9)/(o/(-12)) and -41/3.
21
Suppose -964 = -6*j - 100. What is the lowest common multiple of j and 10?
720
Let a(c) = c**2 - 9*c + 8. Let b be a(9). What is the lowest common multiple of ((-3)/24 - (-225)/b) + 0 and 16?
112
Let f(j) = -74*j - 367. What is the least common multiple of 215 and f(-5)?
645
Let m(z) = z**3 + 3*z**2 - 3*z - 1. Suppose 4*p - 2*f - 25 = -7, 5*f = -4*p + 25. Calculate the lowest common multiple of p and m(-2).
45
Suppose 3 = 3*w - 3, -3*p = 4*w - 44. Let a(y) = 3*y - 22. Suppose 2*s - 22 = -0*s. What is the smallest common multiple of a(s) and p?
132
Let k be 4/(-6)*21684/16. Let v = -885 - k. Calculate the common denominator of v and 33/17.
34
Find the common denominator of (-72)/84*(-102)/2322 and -62/9.
2709
Let z = 14869/2316 + -2/579. What is the common denominator of 61/2 and z?
12
Let s be (-264)/18*(-3)/2. Let r = 1601 + -11155/7. Find the common denominator of r and s/77 - (-1598)/(-252).
126
Find the common denominator of -123/644 and (-524)/360 - (1 - 4/10).
5796
Let l be (-5906)/(-4 + 6 - 3). Let j = l + -47185/8. Find the common denominator of 53/18 and j.
72
Let t(i) = -i**2 - 5*i - 2. Let r be t(-3). Suppose -5*d - r + 19 = 0. Calculate the lowest common multiple of 8 and d.
24
Suppose 8*p - 233 = 87. Calculate the lowest common multiple of p and 68.
680
Let u(i) = 32*i + 179. What is the smallest common multiple of 5 and u(36)?
6655
Let p be ((-2)/4)/(2/(-4)). Let t(r) = -45*r - 1. Find the common denominator of 27/4 and t(p).
4
Suppose -2*h - 7 = s, -2*s + 5*h = -31 - 0. Calculate the smallest common multiple of 33 and s.
33
Let n be 10 + (-7)/(14/4). Calculate the lowest common multiple of 12/36 + n/3 and 5.
15
Let z = 278 - 264. Calculate the least common multiple of 38 and z.
266
Calculate the common denominator of 143/120 and -1 + (-15)/48 - 15/(-10).
240
Let z = 18 + -12. Let u(v) = -v**3 - 18*v**2 - 14*v + 56. What is the smallest common multiple of u(-17) and z?
30
Suppose -4*r = -37 + 177. Find the common denominator of 4/(-3) + r/(-126) and -71/4.
36
Let y be ((-6)/3 - (1 - 5)) + -137. Find the common denominator of (15/6)/((-2)/38) and 12/(-8)*(-410)/y.
18
Suppose -42*f + 44*f - 360 = 0. Calculate the least common multiple of 216 and f.
1080
Calculate the common denominator of -205*(-9)/495*2/4 and 109/22.
22
Suppose 4*x + 17 + 3 = 0. Let g be 117/x + 20/50. Calculate the common denominator of 4/14 + (g - -22) and 16/3.
21
Calculate the common denominator of ((-7)/2 - -3)/((-6)/(-189)) and -68/65.
260
Let x = -30260975/208 - -145485. What is the common denominator of x and -95/312?
624
Let l = 8276693/1660 + 2622/83. Let z = l + -5019. Let q = -53315/1254 - -10/627. Find the common denominator of z and q.
20
Find the common denominator of -37/8 and (13/120)/((-45)/75).
72
Let g = 3319 - 8684. Let c = 737620 + -4393453/6. Let u = c + g. What is the common denominator of u and -15/7?
42
Let l = 289/9 + -391/36. Find the common denominator of ((-1455)/40)/(-1)*(-6)/45 and l.
20
Suppose -2 + 14 = 6*l. Suppose 10 = 2*y - l*h, -5*y = -3*h - 11 - 8. Suppose -5*t = -y*t - 24. What is the lowest common multiple of 22 and t?
88
Let x(q) = -q**3 + 11*q**2 - 10*q + 3. Let h be x(10). Suppose -50 = h*i - 8*i. Suppose 0 = -l + i + 39. What is the common denominator of l and -21?
1
Let p = 640441/520 + -16038/13. Calculate the common denominator of -97/30 and p.
120
Calculate the smallest common multiple of 20 and (30/10)/(12/160).
40
Suppose 2*x + 4 = 0, 2*x = 5*g + 5*x + 131. What is the common denominator of 40/9 and ((-12)/(-18))/((-7)/g)?
63
Let d(r) = -r**3 - 17*r**2 - 9*r - 20. Let h be d(-16). Calculate the common denominator of -5*(92/10)/1 and (-4 - (-3)/1) + h/(-10).
5
Let h(k) = -5*k - 2. Calculate the least common multiple of -33*3*(-2)/9 and h(-6).
308
Let o be 2 - 1*(-3 - 1). Suppose -3*y + 0*y + o = 0. Calculate the least common multiple of y and 11.
22
Let f = -110061 - -47106129/428. What is the common denominator of -99/2 and f?
428
Let d = 158/25 - 2301/550. Find the common denominator of d and 10/(-75) - 141/(-270).
198
Let v = -20 - -10