inator of q and -1 - -2 - (-9)/(-2)?
6
What is the least common multiple of 160 and (-7)/(-2)*((-85)/(-35) - -1)?
480
Let j = -5 + 8. What is the lowest common multiple of 4 and (4 - j - -9)*1?
20
Calculate the common denominator of 87/16 and (-47)/(-31) - (-84)/(-56).
496
Let f(s) = -s**3 + 2*s**2 + 4*s - 3. Let t(m) = -3*m - 3. Let g be t(-2). Let i be f(g). Let a = i + 3. Calculate the lowest common multiple of a and 11.
33
Let n = -118 + 136. What is the least common multiple of 0 - (-21)/1 - 1 and n?
180
Let m be (-343)/35 + 2/(-10). Let z = 752 + -2975/4. What is the common denominator of z and (17/m)/((-2)/(-6))?
20
Let r(a) = a**3 - 3*a**2 - 2*a. Let s be (-1)/2 + 90/20. What is the smallest common multiple of 2 and r(s)?
8
Calculate the common denominator of -48/31 and 30/(-20) + 38/(-5).
310
Let f be 108118/20700 + (1 - 4). Let l = 1/1150 - f. What is the common denominator of l and 1 + 1 + 75/(-8)?
72
Let w be -1*(1 - 0) + -11. Let u = 24 + w. Let l(n) = n**2 + 4*n - 9. What is the least common multiple of u and l(-7)?
12
Suppose 4*c + 25 + 23 = 0. Let p be c - -2 - (-2 + 2). Find the common denominator of -13/3 and (-76)/p*10/6.
3
Let b be 50686/5112 + 4/18. Let v = 8/71 + b. What is the common denominator of -2*194/88 + 2 and v?
44
Suppose 6*u + 67 = 13. Suppose 3*w + w - 12 = 0. Calculate the least common multiple of u/27*(0 + -3) and w.
3
Suppose 0*c + 12 = 2*c. Suppose -4*w = -p - c, 0*p - 2*p - 6 = -5*w. Calculate the lowest common multiple of 2 and w.
2
Let h = 129 - 159/2. What is the common denominator of 76/(-168) - 16/12 and h?
14
Suppose -j + 123 - 120 = 0. What is the smallest common multiple of j and 9?
9
Let i be (4/5)/((-2)/10). Suppose 10 = 2*l - 14. What is the lowest common multiple of i/(-1 + 12/20) and l?
60
Let l(z) be the second derivative of z**5/20 - 3*z**4/4 + z**3/6 + z**2/2 - 3*z. Let v be l(9). Find the common denominator of -53/8 and (-830)/12*2/v.
24
Let u be 10/((-5 - -1)/(-2)). Suppose -u*x - 3 = -2*x. Let j = x + 17. Calculate the lowest common multiple of 6 and j.
48
Suppose 0 = -2*v - v. Suppose 3*i + 2*i + 3820 = v. Calculate the common denominator of i/(-40) - (-4)/10 and 79/14.
14
Suppose 4*g - 8 = 8. Suppose -g*c + 7 = 3*c. Suppose -x = -3*h + 23 + 4, -3*h + 39 = -5*x. Calculate the least common multiple of h and c.
8
Let g(t) = -t**2 - 4*t - 1. Let w be g(-4). Let i = 4 - w. Calculate the lowest common multiple of 5 and i.
5
Suppose 3*k + 2*k = 5*o, 3*o - 12 = -3*k. Let u = -39/79 - -3471/790. Find the common denominator of u and o/(5/(155/14)).
70
Let v = 1360/9 + -152. Find the common denominator of v and 3*-2 + (-20)/(-70).
63
Let a be 0 + 2 - (-229 - -5). Let p = 6 - 8. Find the common denominator of 51/8 and (-4)/p + a/(-12).
24
Let j(d) = d**3 + 2*d**2 - 2*d + 6. Let h(g) = g**3 + g**2 - g + 5. Let r(z) = 6*h(z) - 5*j(z). What is the smallest common multiple of 10 and r(4)?
80
What is the smallest common multiple of 16 and 1 - (-100)/(20/5)?
208
Let z = -2448 - -9733/4. Calculate the common denominator of z and -43/16.
16
Let u(p) = p**3 + 3*p**2 - 4*p + 4. Let m be u(-4). Suppose r = m*r. What is the lowest common multiple of 2 - (r - 1)/(-1) and 4?
4
Let b be 234042/88 + 30/(-40). Let i = 2663 - b. Find the common denominator of i and 7/9.
99
Find the common denominator of -87/14 and (-2)/3*(-117)/65.
70
Let t = 7639/4 - 1922. Calculate the common denominator of (-3)/(-2)*(-53)/12 and t.
8
Suppose 5*z - 23 + 8 = 0. Let h = -23 + 33. Calculate the lowest common multiple of (-28)/z*6/(-4) and h.
70
Let p(g) = -2*g**2 + g**3 - 3*g**2 + g + 12 + 4*g**2. Let h be p(0). What is the common denominator of -77/6 and 382/h - 1/3?
6
Let j = -55103/30 + 1839. What is the common denominator of j and 71/27?
270
Calculate the common denominator of (-1 - -16)/(7/(-3)) and 27/8.
56
Let j = -7 + -1. Find the common denominator of 73/18 and 110/(-32) - (-2)/j.
144
Let i = 2669/2 - 1284. Calculate the common denominator of 0 and i.
2
Let f = -585/244 - -9/61. What is the common denominator of 40/3 and f?
12
Let x = -23884/31 + 1954047/2387. Let f = -456/11 + x. Calculate the common denominator of 58/5 and f.
35
Calculate the common denominator of 38/11 and 0 - 8/(-22) - -1.
11
Let d = 35 - 17. Suppose 0 = 4*r + 22 + d. What is the common denominator of 121/6 and (1/r)/((-4)/58)?
60
Suppose 0 = -5*w + 3*w + 4. Suppose w*r - 2529 - 1747 = -4*n, 3*r = 4*n - 4286. Let m = n + -5383/5. Find the common denominator of m and 46/9.
45
Let t(z) = -2*z**2 + 10*z - 3. Let x be t(11). Let u = 23/123 + 11747/984. Calculate the common denominator of u and 294/x - (-2)/(-9).
40
Let a = 214 + -150. Suppose 0 = 5*q - 16 - a. Suppose -10*b + q = -6*b. What is the smallest common multiple of 20 and b?
20
Let i = -2004 + 24035/12. What is the common denominator of i and 73/20?
60
Calculate the lowest common multiple of (-6)/8 + 35/4 and 11 - (-2 + -2 + 6).
72
Let g(h) = h**3 + 2*h**2 - 3*h + 2. Let a = -11 + 8. What is the smallest common multiple of 6 and g(a)?
6
What is the common denominator of 284/(-6)*30/40 and (-6)/(-4)*26/(-12)?
4
Suppose 0 = -5*s + 14 - 1224. Find the common denominator of -5/22 and -3 - 1*s/28.
154
Let d = -2679 - -24145/9. What is the common denominator of (-62)/6*99/22 and d?
18
Find the common denominator of 81/20 and ((-5)/(-100))/((-78)/(-795)).
520
Let a = 21 - 12. Suppose -2*j + 2*n = n - 21, -3*j - 2*n = -14. Calculate the least common multiple of j and a.
72
Suppose -3*p + 51 = 3*d - p, 5*d + 2*p = 85. Let y = -11 + d. Calculate the lowest common multiple of -2 + (2 - -2) + y and 22.
88
Let d(i) = i**3 - 8*i**2 + i - 7. Let a be (3 - (-1)/(-1)) + 6. Let j = -4 + 5. Calculate the smallest common multiple of d(a) and j.
1
Let z = 11814 + -141871/12. Find the common denominator of (-4 + (-78)/24)*(0 - -3) and z.
12
Let h(x) = x**3 - 7*x**2 + 6*x - 2. Find the common denominator of 41/3 and h(5).
3
Suppose -4*w + 43 = -77. What is the smallest common multiple of 30 and w?
30
Calculate the common denominator of -41/8 and ((-6)/(-16))/((4/27)/4).
8
Suppose 5 = -5*p - 5. What is the smallest common multiple of 8/(-1)*p/4 and 10?
20
Let m = 41 + -23. Calculate the lowest common multiple of 1 and m.
18
Let g = -12 - -14. Suppose 0 = g*m - 0 - 4. Let k = -15 + 25. Calculate the least common multiple of k and m.
10
Suppose 0 = 3*t - 4*f - 45, 2*t - 24 - 6 = 2*f. Suppose 4*b + 0*l - 16 = 2*l, 0 = -5*l + 20. Calculate the least common multiple of b and t/(-6)*4/(-5).
6
Let k(c) = -c**3 - 3*c**2 - 3*c + 3. Let q be k(-2). Suppose 2*r + 3*r = 60. Let i = r - q. What is the least common multiple of 8 and i?
56
Let f(t) = 10*t**2 - 1. What is the smallest common multiple of f(-1) and 12?
36
Let q = -125837/12 + 10494. Find the common denominator of 63/22 and q.
132
Let a be (3/2)/(12/(-16)). What is the smallest common multiple of ((-2)/a)/(5/10) and 4?
4
Let r be (-14 - -2)*5/(-10). Suppose 4*o + 58 = r*o. What is the common denominator of -77/2 and (9 + -6)*o/33?
22
Let u = 8 + -1. Let y(z) = -z**3 + 8*z**2 - 4*z + 9. Calculate the smallest common multiple of y(u) and 20.
60
Let p = 79/132 + -5/12. Find the common denominator of 15/4 and p.
44
Let p = 0 - -7. Calculate the lowest common multiple of p and 16.
112
Suppose x + 7 = -2*h - 0*h, 5*h = 3*x + 76. Let z = -397 + x. What is the common denominator of (1/(-6))/((-10)/z) and -89/8?
40
Let a be (-1 + 3)/(4/494). Let j = 116 - a. Let q = j - -1831/14. Find the common denominator of q and -43/12.
84
Suppose 0*x = -5*x + 80. Let w be 20/(-2)*(-6)/4. Suppose -9 = -5*o - 3*s + w, -4*o - 3*s + 18 = 0. Calculate the smallest common multiple of o and x.
48
Suppose 5*b = 3*i + 84, -3*b + 2*i + 44 = -3*i. Let f be (5750/4)/(b/8). Let g = f - 641. Find the common denominator of g and -51/10.
90
Let k = 225/22 + -305/132. Let u = 11/380 - -13457/1140. What is the common denominator of u and k?
12
What is the least common multiple of 27 and 4*1/16 - (-501)/12?
378
Let h be -5 - -74 - -1*3. Calculate the common denominator of (h/33)/((-6)/4) and -23/6.
66
Let f(b) = 21*b - 4 - 9*b + 3. What is the least common multiple of 9 and f(1)?
99
Suppose 0 = -4*h + x + 45, -h - h - 3*x = -33. Suppose h = -b + 5*n, 0 = b - 0*n - 4*n + 8. What is the least common multiple 