Suppose -64 + 142 = 2*w. Suppose -5*s + w = -0*s + 3*m, 4*s + 2*m - 30 = 0. Calculate the smallest common multiple of s and 12.
12
Suppose r - 1 - 7 = 0. Let f(m) = -3*m**2 + 2*m + 2*m**2 + 2 - 4 + 6. Calculate the smallest common multiple of f(3) and r.
8
Find the common denominator of -105/92 and 1/6 + 9856/5313.
92
Let s = 35 + -25. Calculate the smallest common multiple of (-4)/12 - 572/(-132) and s.
20
Let b = -16/13 + 433/468. Calculate the common denominator of b and (5/2)/(7 + (-540)/85).
396
Let z(k) = k**2 + 3*k - 3. Let v be z(2). Let x(f) = -f**3 + 7*f**2 + 4*f - 4. Let m be x(v). Calculate the least common multiple of (m/(-36))/((-1)/33) and 2.
22
Let l = 24841/10110 + -8/337. What is the common denominator of -47/4 and l?
60
Let j(d) = d + 19. Let f be (-11 - -1) + 3/(-4)*-4. Calculate the lowest common multiple of j(f) and 9.
36
Let m(q) be the third derivative of q**5/15 - q**4/12 - 2*q**3/3 + 4*q**2 + q. Suppose 2*n + n - 12 = 0. Calculate the least common multiple of n and m(2).
8
Suppose -41*h + 14 = -34*h. Suppose 4*l - s - 14 = 10, -l - 3*s + 6 = 0. Calculate the least common multiple of l and h.
6
Let o = -1720 + 1724. Let f(y) = -4*y**3 - y**2 - y. Calculate the lowest common multiple of f(-1) and o.
4
Let g = 57381/55 - 1043. Calculate the common denominator of g and -47/15.
165
Let q = 180042531/400540 + 518/14305. Let t = 149719663/339308 - 2/84827. Let g = t - q. What is the common denominator of 97/4 and g?
28
Let s be (-18)/(-72) + (-8330)/8. Let i = 5229/5 + s. Calculate the common denominator of i and 58/5.
5
Suppose 0 = -12*v + 1013 - 173. Let t = v - 62. Suppose 22 = -4*y + 94. Calculate the smallest common multiple of t and y.
72
Suppose 7*g - 8*g + 64 = 0. Calculate the common denominator of (30/4)/((-72)/g) and 2980/(-15)*7/56.
6
Let h(a) = a**3 - 7*a**2 - 9*a + 3. Let c be 8/(-16) + 34/4. Let i be h(c). Calculate the least common multiple of 11 and 2 - i/(0 - 5).
11
Suppose 7 = -5*i - 28. Let l(y) = -y**3 - 6*y**2 + 6*y + 5. Calculate the smallest common multiple of 22 and l(i).
132
Suppose i = -3 - 0. Let z be (3 + -5)*-1 - i. Suppose z*r = 6 + 14. Calculate the smallest common multiple of r and 2.
4
Let q = 20 - 22. Calculate the common denominator of (18/15)/(q - 2) and -69/10.
10
Let r be ((-4)/2)/((-9)/18). Suppose 0 = 7*p - 3*p + r*q + 24, -2*q = p + 10. Find the common denominator of -37/20 and 22/(-120)*-3 - p.
20
Let j = -20/6541 + -815345/745674. Find the common denominator of j and -25/18.
342
Let j(u) = -u**3 - u**2 + 2. Let r be j(0). Suppose -2 = -4*q + r. What is the lowest common multiple of 4 and q?
4
Let q = -4339 - -21797/5. Let n = q - 14. What is the common denominator of 452/(-30) - 2/(-5) and n?
15
Let f be 120/(-14) + (-21)/49. Let k = 11 + f. What is the least common multiple of 2 and (-1 + k - -5)/2?
6
Suppose -5*j + 152*f + 178 = 154*f, -j + 37 = -f. Calculate the smallest common multiple of j and 16.
144
Find the common denominator of 56/55 and -16*223/(-13090) + 866/(-4763).
6545
Let f = 723 + -223. Calculate the least common multiple of 12 and 1/(-3) + f/60.
24
Suppose -2*a = -2*c + 1430, 3*c - 32*a - 2151 = -31*a. What is the least common multiple of c and 16?
5744
Let t = -430/29 - -3434/435. Let x = t - -548/105. Find the common denominator of x and -55/3.
21
Let u be (-126)/(-28) + (-2)/(-4). Suppose 3*t + u = -1. Find the common denominator of 54/5 and 2/8 - 30/t.
20
Let j = -52 - -35. Let n be 788/(-10)*(-15)/4. Let g = n - 285. Find the common denominator of g and j.
2
Let o = 3 - 1. Suppose 0*z = -z - o. What is the common denominator of z/4 + (-102)/8 and 20?
4
Suppose 0 = 3*p - 5*b - 1, -2 - 18 = -5*b. Suppose 2*v - 7 = m, -v = 2*v - 4*m - 3. What is the least common multiple of p and v?
35
Let s(j) = j**3 + 5*j**2 - 4*j - 6. Suppose -229 = 5*r - 44. Let q = -17 - r. What is the least common multiple of s(-5) and q?
140
Let v = -11 + 7. Let c(n) = n**2 + 4*n - 16. Let h be c(-7). Let y = h + v. Calculate the smallest common multiple of 9 and y.
9
Let i be (-2)/(-11) - 433110/20064. Let m = 472/19 + i. Calculate the common denominator of -59/2 and m.
16
Let j be (-1)/4 - (-1443)/(-1044). Let f = 1/29 - j. Calculate the common denominator of 0 + 1 - 0 - 75/20 and f.
12
Let j = 29131/12 + -2420. Calculate the common denominator of j and -2 + -1 - 588/24.
12
Let z = 3051541/80 + -38145. Find the common denominator of 103/160 and z.
160
Suppose -3*k = -8*k + 25, 5*z = 2*k + 40. Suppose -4*d + 2 - z = 0. What is the lowest common multiple of d + 21 - (2 + -1) and 20?
180
What is the common denominator of -101/32 and 12338/1736 + 6/(-7)?
32
Let b = 113311/10 + -11343. What is the common denominator of 113/80 and b?
80
Let p = 138 + -126. Calculate the least common multiple of p and 30.
60
Let w = 1031/5 - 8063/40. Calculate the common denominator of w and -23/173.
1384
Suppose 0 = 25*y - 43*y + 1224. What is the lowest common multiple of y and 8?
136
Let g = -454/9 - -1301/18. Calculate the common denominator of 4/8 + (-140)/(-6) and g.
6
Suppose m + 4*w - 18 = 0, -m = -2*m - 5*w + 22. Let t be -4 + (-272)/m - 2. Calculate the common denominator of 12/11 and -4 + 5 - t/(-4).
22
Let j = 31/26 - 211/117. What is the common denominator of 47/7 and j?
126
Calculate the common denominator of (-20)/8*81/200 and -33/10.
80
What is the common denominator of 16/135 and (-5 - 108/(-80)) + (-2)/(-3)?
540
Let t = 69829/7 + -191559/56. Let k = 6544 - t. What is the common denominator of ((-2)/72)/((-2)/(-92)) and k?
72
Let i(q) = -4*q + 4. Let t be i(-5). Find the common denominator of 590/t - 2/(-3) and (1 - (-23)/2)/(33/(-6)).
44
Calculate the common denominator of 43/98 and 47/16 - (3 + -1 - -1).
784
Let k be 467/157 - 12/4. Let a be 14293/12560 - (-1)/5. Let s = a + k. What is the common denominator of s and -73/22?
176
Let y = -6 - -8. Let g = -452 - -455. Suppose y*p + 2*p - 59 = g*a, -4*a + 24 = 4*p. What is the smallest common multiple of p and 13?
143
Suppose 3*s + 5*m = 5*s + 80857826, 80857830 = -2*s + 3*m. Let f = -118618437397/2934 - s. Let d = -74/163 + f. What is the common denominator of d and 133/6?
18
Let f(w) = w**2 + 8*w - 25. Let d be f(-9). Let h = 29 - d. What is the lowest common multiple of h and 7?
315
Let o be ((-40)/(-3))/(42/3285). Let d = 1049 - o. Find the common denominator of 25/4 and d.
28
Let f be (-3 - -2)/(5/5). Let z be (4/(-652))/(f/(-13)). Let v = z - -8417/1304. Calculate the common denominator of 65/12 and v.
24
Calculate the least common multiple of (-26 + 20)/((-9)/642) and 36.
3852
Suppose -4*a = 4*d - 0*d + 516, a = 2. Let o = d - -138. Calculate the lowest common multiple of 1 and o.
7
Let b = 332 - 212. Find the common denominator of -54/7 and 3 - ((-2)/(-6) + 404/b).
70
Let r = -2995 + 20929/7. Let p be (-3)/8 + (-2143302)/(-132912). Let w = 2/2769 - p. Calculate the common denominator of r and w.
28
Let t be 1 + (689298/20656)/3. Let l = 2/1291 + t. Find the common denominator of l and -9/88.
88
Suppose 3*l - 4*n = -0*l + 20, 3*l = n + 5. Suppose l = -g + 1 + 1. What is the lowest common multiple of g and (-2)/5 + (-204)/(-10)?
20
Let o = -11977/10 + 1199. What is the common denominator of o and -71/302?
1510
Suppose -l = -2*x - 30, -3*l + 70 = 5*x - 20. Calculate the least common multiple of -2 + 35 - (-1 - (-1 + 0)) and l.
330
Let a = -253 + 323. Calculate the smallest common multiple of a and 168.
840
Suppose 0 = 3*s + 1 + 5. Let k be 1 - (-3 - s - -86). What is the common denominator of 109/10 and (114/(-16))/(27/k)?
30
What is the common denominator of 930/124*(-23)/25 and -23/270?
270
Suppose -6*d = -7*d - 5. What is the smallest common multiple of (0 - -3)/(6/16) and (d/(-2))/((-15)/(-60))?
40
Suppose -56 = 5*y - 2*h - 123, 0 = -y - h + 12. What is the lowest common multiple of y and 39?
39
Suppose 10*q - 34 = 26. What is the lowest common multiple of 12 and (-38)/(-4) + 1/((-12)/q)?
36
Let h = -1195/38 + -1/19. Let q be 88877/(-2790) + (-2)/(-15). Let y = q - h. Find the common denominator of 10/3 and y.
9
Suppose -24*p = -19*p - 225. Let r = -196/3 + p. What is the common denominator of -57/8 and r?
24
Let s be ((-45)/(-10))/((-2 - -3)/237). Let u be (-9655)/(-9) - 2 - -1. Let x = s - u. Find the common denominator of 53/4 a