ast common multiple of f and 7*(-2 + 20/7)?
42
Let h(n) = -n**3 - 6*n**2 - 3*n + 12. Let t be h(-5). Suppose 16 + 4 = t*z. What is the smallest common multiple of z and 4?
20
Find the common denominator of ((-267)/(-20))/((2592/45)/(-6)) and 23/16.
64
Let x(i) = i**3 - 8*i**2 - 8*i + 2. Let c be x(8). Let o = 74 + c. Calculate the smallest common multiple of -6*((-4)/(-3))/(-2) and o.
12
Let n = -107 + 155. What is the least common multiple of (-2)/5 + (-312)/(-30) and n?
240
Suppose 671 = 15*a - 169. What is the least common multiple of a and 84?
168
Let w(i) = i**3 + i**2 - i + 108. Let h be w(0). Suppose -h = 7*y - 10*y. What is the smallest common multiple of 40 and y?
360
Let w = -26252197/8 - -3277408. Let v = 4126 + w. Let f = 246659/21830 + 2/2183. What is the common denominator of v and f?
40
Let l = 21/136 + -1505/34408. Calculate the common denominator of -47/23 and l.
253
Let j be (-14)/((-39)/(-19) - 2). What is the common denominator of 0 + (j/(-20) - 2) and ((-6)/(-32))/(-5*6/460)?
40
What is the common denominator of (-57)/(-38)*58/8 and 13/72?
72
Suppose 2*t - 154 = -q, q - 35 = -t + 41. Calculate the smallest common multiple of t and 14.
546
Suppose 3*m - 56 = -11. Let v(h) = -3*h**2 + 72*h + 87. What is the lowest common multiple of v(25) and m?
60
Let g(j) = -j**3 + 29*j**2 - 6*j + 180. Suppose -4*u = -4*b + 84, -3*b + 17 + 16 = 3*u. What is the least common multiple of g(29) and b?
48
Let j(x) = x**3 - 2*x**2 - 4*x - 5. Let q be j(4). Suppose 5 = -t + q. What is the lowest common multiple of t and 16?
48
Let o(s) = 3*s**2 + s. Let t(q) = -q + 1. Let n be t(-4). Suppose -c - n*f = -3, 2*c + 0*f = -4*f + 12. Calculate the smallest common multiple of c and o(2).
56
Let r = -2941/2 + 1409. Let x = 71 + r. What is the common denominator of x and -2 + 1 - 147/(-24)?
8
Let h = 59435/24 + -2480. Find the common denominator of 37/6 and h.
24
Let n = -1426969/705555 - -4/15679. Calculate the common denominator of 77/30 and n.
90
Suppose 3*m = 3, g + m = -0*g - 7. What is the common denominator of 2/(-6)*(-138)/4 and (-300)/g + (-2)/1?
2
Let i(p) = p**2 - 12*p + 35. Let m be i(8). What is the lowest common multiple of (-3)/(-15)*m + (-42)/(-30) and (-1 - 0) + 4 + 1?
4
Let b = -3/1580 - 3779/90060. What is the common denominator of -1/27 and b?
1026
Calculate the common denominator of (2 - -2)*1/22 and 5/((-70)/(-4)) + (-73576)/7616.
88
Let x = -67783559/198 + 342342. What is the common denominator of 19/21 and x?
1386
Let d = -1361/138 - -85/23. Let x = 85/22 + d. What is the common denominator of 5/9 and x?
99
Suppose -n - 2*c + 8 = 3*c, -3*n + 2*c + 92 = 0. What is the lowest common multiple of n and 1?
28
Let f = 622 - 558. What is the lowest common multiple of f and 64?
64
Let q(o) = -13*o + 1. Let j be q(-1). Suppose -2*x + j = u, -x = 3*x - u - 34. Calculate the lowest common multiple of x and 20.
40
Suppose 4*w - 10 = 6. Let v be w*(0 - (-12)/(-16)). Calculate the smallest common multiple of (v/6)/(4/(-32)) and 12.
12
Let p(r) = -2*r + 17. Let n be p(-9). Suppose -36*j = -n*j - 22. Calculate the least common multiple of j and 10.
110
Let j be 38/(-8) + 1/(-4). Let a = j - -15. Let f = 434 - 426. Calculate the least common multiple of a and f.
40
Suppose -r + 4*z = 6, -5*r = -10*r + 4*z + 2. Find the common denominator of r - (4 - 2)/(-6) and 7/5.
15
Calculate the lowest common multiple of 271 + -1 - (-6 + 12/1) and 24.
264
Suppose 2*j + 2*j = 16. Suppose 0 = -4*g - 4*d - d - 11, 2*g - 17 = 5*d. Calculate the smallest common multiple of g and j.
4
Suppose 0 = 12*s - 14*s + 2. Let h(i) = 4*i**3 + i**2 + i - 2. Let x = 34 + -14. Calculate the least common multiple of x and h(s).
20
Let g = -12107/60 + 1647/10. Let t = g + 37. Let z = -5/3671 - 422105/44052. Find the common denominator of t and z.
12
Suppose -4*f + 6*d = 5*d - 13, -4*d - 24 = -2*f. What is the common denominator of 1796/(-504) - 1/(-7)*f and -65/22?
198
Suppose 3*a - 69 = -2*n - 43, 3*a + 3*n - 30 = 0. What is the lowest common multiple of a and 150?
150
Calculate the common denominator of 14/33 and (5 + (-764)/20)/((-84)/10).
231
Suppose 3*d + 29 = -4*u, -d - 3*u + 2 = 5. Let r = 3980 + -31901/8. What is the common denominator of (-5)/(-6)*141/d and r?
24
Let m = 992579/30 - 33083. Find the common denominator of m and 75/8.
120
Let g = -50 + 52. Suppose -5*u + 10*u = -15. What is the lowest common multiple of g and (-2)/(-3 - 7/u)?
6
Let j(g) = -24*g**2 - 2*g + 2. Let x be j(1). Calculate the common denominator of 0/1 + (-201)/x and -149/12.
24
Let i be 554/(-5) + 1 - (-3)/(-15). Find the common denominator of (130/(-64) - -2)*58 and 3/((-3)/(-2)) - 15/i.
176
Calculate the lowest common multiple of 133/114 - 3430/(-12) and 328.
2296
Let p = -256636/35 + 7333. Find the common denominator of p and -5.
35
Suppose -5*q + 2*r - 5*r + 17 = 0, -r = q - 3. Let f = -444 - -466. Calculate the least common multiple of q and f.
44
Let c = 777 + -774. Calculate the least common multiple of 70 and c.
210
Suppose 5*r - 164 = 2*p, 6*r - 4*p - 104 = 3*r. What is the smallest common multiple of 8 and r?
32
Let a be (-3)/(45/48) - 4/(-20). Let u = -11057/9 - -1233. Find the common denominator of u and a + -1*43/(-6).
18
Let y = 207 - 201. What is the smallest common multiple of 306 and y?
306
Suppose -3*o = 3*d - 357, 650 - 52 = 5*o + 2*d. Calculate the least common multiple of o and 4/9*(-4 - (-68)/8).
120
Let f = 17405 - 818004/47. What is the common denominator of f and -44 + ((-84)/8)/7?
94
Let u(t) = 71*t + 944. What is the smallest common multiple of 27 and u(-13)?
189
Suppose 9 = 2*i - 9. Suppose 0*t = t - 3. Calculate the smallest common multiple of 1/(t/i) + 3 and 8.
24
Let v be 8/20 + (-96)/(-10). What is the common denominator of 31/2 and 31/3 - v/5?
6
Let v = -716/25 - -29147/1050. Let q = -11/6 + v. What is the common denominator of -9/8 and q?
56
Let l = 2254 + -1926. Calculate the smallest common multiple of l and 328.
328
Calculate the lowest common multiple of 57 + 5 + -14 - 9 and 117.
117
Let k be (-2)/(-5) + 5/(25/(-42)). Let r(w) = -19*w - 18. Calculate the smallest common multiple of r(k) and 4.
268
Let f(v) = -5*v + 3. What is the least common multiple of -2 + 1 - (-15 + 10/(-5)) and f(-1)?
16
Let c be ((1/19)/(-1))/3. Let d = 94/57 - c. Let k = 11503/462 - -62/231. Calculate the common denominator of k and d.
6
Let h be (-30)/18*-1*3. Suppose -3*c + h*j + 44 - 12 = 0, 4*c - 20 = j. Suppose 0 = -c*w + 3*w + 12. Calculate the smallest common multiple of w and 18.
36
Let d be 4/(-14) + (-1828)/(-28). Let a = -19 - -41. What is the common denominator of -133/36 and d/a - 2/(-11)?
396
Suppose 2*x - 23 = -q - 0*x, -q = -2*x - 7. What is the least common multiple of 2 and (-6)/(-5)*q/9?
2
Suppose 0*g = -2*g - 10. Let u(d) = 3*d + 1 + d**2 + 4 - 5. What is the lowest common multiple of u(g) and 4?
20
Suppose 5*f + 1607 = -k, 2*f + f = -5*k - 951. What is the common denominator of 21/35 - f/80 and 29/16?
16
Let z = 15 - 12. Let o be -2688 - (z - (-30)/(-9)). Let h = o + 2712. Calculate the common denominator of -5/3 and h.
3
Calculate the least common multiple of 32/20*(-7)/((-7)/5) and 16.
16
Let z(i) = i - 5. Let a be z(16). Calculate the common denominator of 79/34 and ((-156)/8)/(a*9/21).
374
Let j = 6457/2495 - -6/499. Let u be 2 + -9 - (1 + -2). Calculate the common denominator of j and ((-2)/(8/54))/u.
20
Find the common denominator of 35/191 and 892/(-60) - ((-76)/(-20) - 4).
573
Let u be 40/(-6)*(30/12 - 1). Find the common denominator of (1 - 2) + 66/(-20) and 325/30*(-3)/u.
20
Suppose -7 = -3*g + 5*s, -5*g + 18 = -3*s + 1. Suppose 2*n + 19 = n - 5*u, -g*u = 3*n + 24. What is the least common multiple of 4 and -1 - (n - -1 - 0)?
4
Suppose 5*m - 6*m - 2*d = 4, 0 = 4*m + 2*d - 2. What is the common denominator of (m + (-34)/7)/((-48)/(-120)) and (10/8 + -1)*-46?
14
Let w be 0 - (10/(-5) + 2 + -1). What is the smallest common multiple of 3 and 158/13 - ((-4)/(-26))/w?
12
Let x(r) be the first derivative of 3 - 1/3*r**3 + 4*r - 3*r**2. Calculate the least common multiple of 4 and x(-6).
4
Suppose -81 = -3*r + 4*n, -3*r + 0*n + 96 = n. Calculate the smallest common multiple of 18 and r/2 + (-3 + 1)/(-4).
144
Let j(h) = -2*h - 28. Let y be j(-16). Calculate t