uppose 4*t - 3*q - 84 = 0, 2*t + 3*q = 2*q + 42. Calculate the least common multiple of t and 78.
546
Let l = -4997 + 76489/10. Let b = 2642 - l. Find the common denominator of b and -111/22.
110
Let h be -2*5*3/(-6). Suppose 0 = 5*o - u - h, 3*u = -5*o - 2*u + 5. What is the common denominator of 2 + 255/(-42) + o and 91/16?
112
Let t be (-128028)/(-39050)*5/4. Let h = -51/355 + t. Let f = 26721/8 + -3345. What is the common denominator of h and f?
88
What is the lowest common multiple of ((-198)/27)/((-2)/6) and 2?
22
What is the least common multiple of (-3)/(-8) - (-477)/72 and 14?
14
Let a be (-1 + 3)*(-5 - 0). Let f be (-510)/1212*(-8)/a. Let x = 10399/1212 - f. Find the common denominator of x and -121/12.
12
Suppose -c = n - 8, 33 = 5*c + 4*n - 9. What is the lowest common multiple of 18 and c?
90
Suppose f + 30 = 6*f. Find the common denominator of (172/6 - 1)/2 and (-7)/48 - f/9.
48
Suppose 0 = -4*m - 4*l - 16, -4*l - 16 = -3*m. Let p be (1 + 0)*(m + -1). Find the common denominator of (2 - -31)*p/(-14) and 9/16.
112
Let a(w) = -w**2 - 11*w - 13. Let t be a(-10). Calculate the common denominator of (-1)/((-3)/(-64)) - t and 12/11.
33
Let a(c) = c**2 - 9*c - 9. Calculate the smallest common multiple of a(10) and 8.
8
Let o = 20 - 9. Let w be (0 + 0)*3/6. Suppose -2*u + 8 = -5*x - w*x, 5*x - 37 = -3*u. Calculate the lowest common multiple of u and o.
99
Let t(w) = 0*w + 1 + 3*w**2 - w**2 + 2*w. Suppose -7*h = -2*h + 10. What is the least common multiple of t(h) and 5?
5
Let m(t) = t**2 + 2*t. Let a be m(-3). Let y = a + 2. What is the common denominator of 8/((-3)/y - -2) and -14/3?
21
Let l(x) = -19*x**3 + 2*x**2 + 3*x + 2. Calculate the least common multiple of 16 and l(-1).
80
Suppose -5*m = -25, 2*m - 4*m + 100 = 5*s. What is the least common multiple of 33 and s?
198
Find the common denominator of -37/8 and ((-95)/(-15))/((-2)/5).
24
What is the lowest common multiple of (-300)/(-21) - (-8)/(-28) and 6?
42
Let k = -2 - -2. Suppose 5*c - 45 = 2*o, 2*o + 36 = 4*c - k*o. Calculate the least common multiple of 11 and c.
99
Let w = -8/43 - 3881/172. What is the common denominator of -35/36 and w?
36
What is the common denominator of -79/50 and (7/189)/(2/(-339))?
450
Let g(h) = -3*h**2 + 8*h + 7. What is the smallest common multiple of g(3) and 20?
20
Let c be 2 + 0 - 33846/3. Let o = 29014171/170 + -2709822/17. Let q = c + o. What is the common denominator of q and 77/6?
30
Find the common denominator of -19 and ((-1512)/(-32))/(3/2).
2
Suppose 75 = 3*a + 2*a. Calculate the smallest common multiple of a and 21.
105
Let n = 39 + -28. Calculate the lowest common multiple of n and 9/1 + -6*(-6)/(-9).
55
Let s = 39067597/30338 - 1591/1379. Let y = s + -1285. What is the common denominator of y and -47/4?
44
Suppose 4*q + 4 - 8 = 0. Let j(k) = -k**3 - 5*k**2 - 2*k - 3. What is the smallest common multiple of j(-5) and q?
7
Let u be (4/(-6))/((-40)/(-101055)). Let i = 1723 + u. Let c = 185/4 - i. Find the common denominator of c and -11/16.
16
Let u be (-9)/(1 + 2) + -105. Find the common denominator of 1/(-16) - 2/4 and (-81)/4*9/u.
16
Let l(v) = 2 + 7*v - 8*v**3 - 7*v**2 - 4 + 9*v**3. Calculate the least common multiple of l(6) and 6.
12
Let d = -43 - -24. Let f = 29 + d. Calculate the smallest common multiple of f and 4.
20
Suppose -4*i + 4*b - 30580 = 0, -15278 = 2*i - b - 4*b. Let m = i - -76591/10. What is the common denominator of m and -33/10?
10
Let a = -101/829 - -4279235/19896. Let g = 851/4 - a. What is the common denominator of g and -41/10?
120
Suppose -4*q + 39 = -q + w, w = 4*q - 45. Let b = 23 + -7. What is the smallest common multiple of b and q?
48
Let g = -2751/46 - -260/23. Let u = 2/235 - -213/2585. What is the common denominator of u and g?
22
Suppose 4*q = -0*q + 8. Calculate the common denominator of 1/(-10)*(-94)/(-4) and (-2516)/(-504) + q/9.
140
Suppose v = 2*o - 24, 3*o + 0*v = 3*v + 30. What is the lowest common multiple of 16 and o?
112
Let b be ((-8)/3)/((-8)/(-144)). What is the lowest common multiple of (-20)/(-6)*b/(-40) and 5?
20
Let f = -73 - -117. Find the common denominator of (-21)/14 - 142/f and -43/6.
66
Suppose -4*n + 19 = -61. Let s(m) = -m**2 + 2*m + 7. Let v be s(3). Suppose -v*z = 4*d - n, z + z + 44 = 4*d. What is the lowest common multiple of d and 4?
36
Let i(k) = -4*k - 4. What is the lowest common multiple of i(-3) and 3?
24
Suppose 5*p - 80 = -4*x, -4*p + 10 + 65 = x. Let l = -18 - -40. Calculate the least common multiple of l and p.
220
Suppose u - 4 = -u. Suppose -5*i + 37 = u. Let c = -6 + 8. Calculate the lowest common multiple of i and c.
14
Let q = -17787 + 480322/27. Find the common denominator of q and 49/33.
297
Suppose 0*h - 5*h + 25 = 0. Let u = 15 - h. Suppose -30 + 0 = -3*r. What is the least common multiple of r and u?
10
Let z = 22 - 12. Suppose h = -2*b + z, 24 = 3*h + 3*b + b. Calculate the smallest common multiple of h and 10.
20
Let r = -7 - -8. Suppose -m + r = -1. Calculate the lowest common multiple of 4 and m.
4
Let p be (-3 - (10 - 2)) + -2. Let q(u) = u**3 + 14*u**2 + 12*u - 11. What is the lowest common multiple of 14 and q(p)?
14
Let b be (-2 - 33/(-6))*-6. What is the common denominator of -1/20 and (-6)/b - 303/(-140)?
20
Let y be (-1)/(-5) - (-76)/20. Suppose g + 3*n = y*g - 15, 0 = 5*g + 4*n - 52. Calculate the smallest common multiple of 12 and g.
24
Let r(a) = a**3 - a**2 + 3*a + 12. Let z(l) = l**2 + 5*l + 4. Calculate the least common multiple of z(-6) and r(0).
60
Let m be ((-4)/(-10))/(1/5). Let p = -1 + m. Let h = 2 + -1. What is the least common multiple of h and p?
1
Suppose -4*y = 5*z - 70, -4*y - 19 = -4*z + 1. Find the common denominator of 12/z*(-23)/(-3) and 55/7.
35
Let a = -74 - -83. What is the smallest common multiple of 7 and a?
63
Let z(a) = -2*a - 7. Let r be 1/((-10)/(-8) - 1). Let s(i) = -i**3 + 3*i**2 + 4*i - 5. Let b be s(r). Calculate the least common multiple of z(b) and 1.
3
Find the common denominator of 143/18 and (-1370)/6800 - 2/(-5).
1224
Let q(m) = m**3 - 5*m**2 + 9*m - 2. Let z be q(6). Find the common denominator of 69/8 and (-12)/z - 2/4.
88
Suppose 0*c = 4*c. Suppose -3*k = -c*k - 12. Let t(d) = 4*d**2 - d - 2. Calculate the smallest common multiple of k and t(2).
12
Suppose 6*c - 3*c - 6 = 0. Find the common denominator of (-2)/8 + 0 - 3465/(-154) and 410/(-96) + c/(-3).
16
What is the common denominator of 2/6*(-1125)/30 and -87/20?
20
Suppose -58 = -3*d - g + 3*g, -4*d = -4*g - 84. Calculate the lowest common multiple of 14 and d.
112
Let a = -233/39 - -316/13. Find the common denominator of 22/3 and a.
3
Let q(b) = b**3 - 11*b**2 + 11*b - 9. What is the least common multiple of 3 and q(10)?
3
Let s be ((-1)/3)/((-10)/90). Suppose 0 = 5*z - s*f - 71, 3*z + 1 = f + 46. What is the smallest common multiple of 4 and z?
16
Let t be 5/(-2)*(7 + -9). What is the least common multiple of t/(15/(-9)) + 9 and 7?
42
Find the common denominator of (-1209)/168 - (-9)/(-24) and -137/6.
42
Let x be (2 - 3) + 1 + 1. Calculate the common denominator of (-51 - 2/x)/2 and (138/(-16))/(-3) - 2.
8
Let p = -56382/67 + 7228615/8308. Let c = p - 366/31. Let t = 1007/6 + -1439/9. What is the common denominator of t and c?
36
Suppose -14 - 1 = -3*u. Let k be u/10*(1 + 17). Suppose k*q - 5*q - 80 = 0. Calculate the lowest common multiple of q and 8.
40
Suppose -4*a = -21 + 1. Suppose 2*t + i = 2*i + 18, -a*i = -10. Calculate the least common multiple of t and 7.
70
Let w be -1 - ((-4546)/4542 - 0). Let y = 2511902 + -3803027449/1514. Let l = w - y. Calculate the common denominator of l and 41/6.
6
Let r = -7 + 13. Suppose -r*x + 177 = -3*x. Calculate the common denominator of 71/16 and x/15*6/(-4).
80
Let s(a) be the third derivative of 0*a - 2*a**2 + 1/30*a**5 + 0 - 1/8*a**4 + 0*a**3. What is the smallest common multiple of s(4) and 16?
80
Let s = 10226 + -225017/22. What is the common denominator of s and -101/80?
880
Let o = 13/4 - 135/4. Let i = -5693/2156 - 17/196. Calculate the common denominator of i and o.
22
Let b = 27 - 11. Calculate the least common multiple of 16 and b.
16
Let j(o) = o**2 - 9*o + 21. What is the least common multiple of j(9) and 33?
231
Let c = 3 + -14. Let f = -5 - c. What is the lowest common multiple of f a