w(h) = -h**3 + 4*h**2 + 2*h + 3. Let y be w(4). Let p = -3 + y. Let a(f) = f**3 + 7*f**2 + 6*f + 2. What is the smallest common multiple of a(-6) and p?
8
Let n be 2*4*-38*(-5)/40. Suppose -4*w - n - 18 = -c, -4*w + 32 = c. Calculate the lowest common multiple of 16 and c.
176
Calculate the lowest common multiple of 12 and ((-4)/42*3)/((-20)/980).
84
Suppose 72 = 4*u - 10*v + 12*v, -5*u = 3*v - 90. Calculate the least common multiple of u and 72.
72
Suppose 4*t = 13*t - 396. What is the least common multiple of 44 and t?
44
Let v(n) = -3*n - 4. Let g be v(-5). Let s(c) = -4*c**2 - 7 - 5 + g*c + 2 + 3*c**2. What is the lowest common multiple of s(7) and 22?
198
Let j = 63 + -61. Suppose 0 = o - 4*x - 52, 2*x - x + 133 = 4*o. Suppose -3*u = 4*q - o, -2*u - q + 6 = -12. Calculate the least common multiple of j and u.
8
Let r(o) = 2*o - 28. Calculate the least common multiple of r(58) and 28.
616
Let r = 193 - 179. Calculate the least common multiple of 96 and r.
672
Suppose -7 = 2*p - 9. What is the lowest common multiple of (-2)/4*276/(-6) and p?
23
Suppose 6*z = 3*z - 2754. Let w = -4556/5 - z. Find the common denominator of w and (4 + 22 - 0)/9.
45
Let h = 1053 + -1608. Let c = h - -2299/4. Calculate the common denominator of c and -10/3.
12
Suppose -10*j = -5*j + 10. Find the common denominator of (j/(-4))/(22/(-20)) and 143/6.
66
Suppose 0*l = -5*l + 50. Suppose 3*o + 5*r - 47 = -10, -2*o + l = -4*r. Suppose -3*v = -2*v - 5. Calculate the least common multiple of o and v.
45
Let i = -2/2049 - -95626/6147. Let a be (-8926)/693 - (-2)/14. Let y = a + i. Calculate the common denominator of y and 71/8.
88
Let l = 35425/48 - 738. Find the common denominator of -87/46 and l.
1104
Suppose -9*m = 465 - 1950. Calculate the least common multiple of 135 and m.
1485
Let l = 59 + -89. Calculate the least common multiple of 40 and (-1)/(-2) - 45/l.
40
Let s(l) = l**2 - 3. Suppose 7*x - 114 = -2*n + 3*x, 2*x = n - 41. Suppose -k + 5*k - 5*g - n = 0, 2*g = 6. What is the smallest common multiple of s(-5) and k?
176
Let n be (-8)/(-2) - (-1 + 1). Suppose d = 3*i + 102, -3*d + 36 = -n*i - 100. Find the common denominator of 71/18 and ((-57)/532)/(1/i).
126
Let m = -280460323 + 1713893023315/6111. Let r be (2/2037)/(4/(-9)). Let f = m - r. Find the common denominator of 101/22 and f.
198
Suppose 7*n - 2*n + 110 = 0. Let b be (-1)/(2 - n/(-10)). Suppose 3*q + 2*p - 38 = -3*p, -14 = q - b*p. Calculate the smallest common multiple of q and 22.
66
Suppose 0 = -a + 2*g + 867, 4*a - 3*g - 5707 = -2254. Let b = a + -1771/2. Find the common denominator of -1/10 and b.
10
Let c = -5062/7 + 717. Calculate the common denominator of (1/10 - (3 - 5))*3 and c.
70
Let u = -184/297 + 8233/13662. Find the common denominator of u and -62/5.
2070
Let w be ((-7)/3)/(3/18*-2). Suppose 12 = w*j - 219. What is the lowest common multiple of j and 51?
561
Suppose 0 = 5*b - 193 - 167. Let r be b/16 + 9/(-6). Suppose t - 4*t = -r. What is the smallest common multiple of 7 and t?
7
Let q be 1354/(-28) + (-3)/6. Let l = 49 + q. Calculate the common denominator of 64/9 and l.
63
Let s = 25 + -24. Let r be (-1)/(-1)*26/(-2). Let b = s - r. Calculate the smallest common multiple of b and 18.
126
Let s(v) be the third derivative of v**4/24 + 8*v**3/3 - v**2. Let f(m) = m**2 - 16*m + 26. Calculate the lowest common multiple of f(15) and s(-8).
88
Let a(g) = 2*g - 46. Calculate the smallest common multiple of 88 and a(26).
264
Let m = -5186 - -51807/10. What is the common denominator of m and -71/28?
140
Suppose -a - 47*b + 48*b = -105, 2*b = -3*a + 340. What is the lowest common multiple of a and 50?
550
Let l = -121 + 146. Calculate the smallest common multiple of l and 40.
200
Let t(n) = -n**2 - 17*n - 25. Calculate the least common multiple of t(-7) and 93.
1395
Suppose 1 = 2*l - 13. Suppose -3 = 3*y - 9. What is the lowest common multiple of l and y?
14
Let z(n) be the second derivative of 1/2*n**3 + 0 + 1/2*n**2 + 6*n. What is the least common multiple of 11 and z(2)?
77
Suppose 3*d + 541 = 2*r, -4*r - 16 = -0*r. Suppose 0 = 4*s - 3*s - 2. Calculate the common denominator of (0 - d/84)*s and 115/18.
126
Let x be 1906*(-2 - 1)*3/156. Let t = 83677/780 + x. Calculate the common denominator of -3/10 and t.
60
Let u = 1130153/36 - 31396. What is the common denominator of 97/6 and u?
36
Let k = 325/2 - 739/4. Find the common denominator of k and -103/704.
704
Let g = -2151 + 45200/21. Let v = g + 991/210. Calculate the common denominator of 9/10 and v.
10
Let c = 35635/8 + -4447. Calculate the common denominator of c and -2 + -1 + 170/28.
56
Let y(s) = 0*s + 128 + s - 107. What is the smallest common multiple of y(-7) and 20?
140
Let g = 6/127 - 187/1270. Let s(c) = -c**2 - c - 1. Let t be s(-1). Let w(v) = -29*v**3 + 2*v**2 + v. What is the common denominator of w(t) and g?
10
Suppose -4*t + 19 = 7. Let n be 3*30/2 + t. What is the lowest common multiple of 10 and (112/n)/((-2)/(-12))?
70
Find the common denominator of (-1)/(-2)*737/264 and 89/30.
240
Let p = 29 + -29. Suppose t - 11 + 3 = p. Suppose j + j = 40. Calculate the smallest common multiple of j and t.
40
Suppose 0 = -2*f - 0*f + 2*d + 16, 4 = 3*f + 2*d. Suppose f*w = 144 - 52. Calculate the smallest common multiple of 6 and w.
138
Suppose -4*r - 2 = n - 20, -4*n - 4*r = -72. Suppose 0 = 5*q - 3*d - 111, q - 100*d - 11 = -105*d. What is the lowest common multiple of n and q?
126
Let b = -1528 - -6141/4. Let z = -319/5 - -113/2. What is the common denominator of z and b?
20
Suppose -729 + 3767 = 31*q. What is the least common multiple of 18 and q?
882
Suppose 3*m + 87 = -2*p, -21 - 20 = p + m. Let j = -14926652 + 1149330752/77. Let v = 1982/7 + j. What is the common denominator of v and p?
11
Let x = 83098/143 - 4985/11. Let s = 128 - x. Find the common denominator of s and 1/2.
26
Let r = -75 - -77. Calculate the lowest common multiple of r and 55.
110
Calculate the lowest common multiple of (1003/295)/((-2)/(-30)) and 3.
51
Suppose 2*j - 4*i - 136 = 0, -4*j = -j + 5*i - 160. What is the common denominator of (-646)/j - (-5)/(-15) and (-206)/(-88) + (-2)/8?
110
Let x = -4/4175 + 505247/75150. Find the common denominator of x and (-63)/(-12) + 4/10.
180
Let z = 275596361/284 - 970407. Let l = -2/71 - z. Let i = -4258/5 - -857. Find the common denominator of i and l.
20
Find the common denominator of 65/16 and (-663)/264 - (-11 + 8).
176
Let o be (0 - 4/18) + 1984/(-144). Let p(k) = -k**2 - 15*k - 6. Calculate the lowest common multiple of p(o) and 11.
88
Let h be 2/6*151644/(-1112). Let o = h - 6/139. Find the common denominator of (200/6)/(3*2) and o.
18
What is the common denominator of (-116*6/108 - -3) + 3 and 14/759?
2277
Let h be -283 + (-16 - -9) - (-2)/(-1). What is the common denominator of h/(-32) - 6/(-12) and 33/8?
8
Suppose 0 = -2*j - 7 + 1. Find the common denominator of 121/18 and 0/j + (-4)/(-126)*-24.
126
Let j = -15485 + 15494. Let u = 6 - 4. Let b = -1 + u. What is the least common multiple of b and j?
9
Suppose 14*c = 16*c - 52. Suppose 0 = 2*u - 0*u + 46. Let a = c + u. What is the smallest common multiple of a and 4?
12
Calculate the common denominator of (-3)/6*(-30)/258 and -21/4.
172
Let s be 2/(-12) + 1790/10605. Let m = -44890/2121 - s. Find the common denominator of -32/27 and m.
54
Suppose 0 = -5*i + k - 0 + 6, 2*i + 5*k = 24. Suppose 4*g - 87 = -3*o - 30, 0 = g - 4*o. Calculate the smallest common multiple of i and g.
12
Suppose -27 + 3 = -2*a. Calculate the lowest common multiple of 2 + 15/20*a and 1.
11
Let h be -3*(3 - (2 + 2)). Suppose 2*f + f = -h*u - 12, 5*f + u + 16 = 0. What is the common denominator of -52/9 and f - (1 + 69/(-30))?
90
Suppose -a + 4*a = 0. Suppose -z - 3*r - 40 = a, -5*z + 0*r - 120 = -r. Let n = z - -35. What is the lowest common multiple of n and 16?
80
Let v = -278 - -2051. Let l = -7041/4 + v. What is the common denominator of l and 71/138?
276
Let p(b) = 6*b - 2. Let w be p(1). What is the common denominator of 55/18 and w - 4/((-88)/(-19))?
198
Calculate the common denominator of 7631/(-1170) + (-2)/10 and -77/38.
342
Let m(f) be the third derivative of 31*f**4/24 - 2*f**3/3 + f**2. Let h be m(-2). Calculate the common denominator of (-4)/(-1) - h/(-27) and 123/10.
90