
Let n(r) be the second derivative of r**3/6 - r. Let q be n(5). Suppose 3*a = -2*i + 11, q*a - i = 7 + 20. Calculate the smallest common multiple of a and 7.
35
Let p be (3/15)/(5278836/15). Let c = p - 2408908989/283297532. Let k = -1/322 - c. Calculate the common denominator of k and 131/6.
6
Suppose -5*u + 3*s = -17, -u + 5*s = 2*s - 1. Suppose 5*w = -5, 0 = 2*n - 0*n + u*w. What is the least common multiple of 8 and n?
8
Suppose 2*r + 5*x + 142 = 0, -2*x + 8 = 5*r + 321. Let w = 68835/22 - 3130. What is the common denominator of 0 - r/(-6) - -3 and w?
66
Suppose 9 = -3*p + 5*l, -5*p = -0*l - 5*l + 5. Calculate the smallest common multiple of p and 16.
16
Suppose -4 = 5*p + 2*n + 1, -2*p = -3*n - 17. Suppose b = 10 - 0. Calculate the smallest common multiple of p and b.
10
Suppose 0 = -b - 0 - 3. Calculate the common denominator of -75/2 and 22/(4/(-2) + b).
10
Let o = 10 - 2. Suppose -4*g = 4*f - 48, o = -4*f + 3*g + 70. Calculate the smallest common multiple of f and 18.
126
Let z be (-8)/(-36) + 1455814/(-288). Let c = -5052 - z. Calculate the common denominator of c and 35/18.
144
Let q = 5763 + -46161/8. What is the common denominator of q and -41/8?
8
Suppose 0 = 2*x - 0*x. Let s = 8 + x. Calculate the smallest common multiple of 5 and s.
40
Let g(z) = -1 + 4*z + 3*z**2 - 6*z - 2*z**2. Let p be g(3). Suppose 17 = -u - t + 59, -p*u - t + 81 = 0. Calculate the common denominator of -67/2 and u.
2
Let v be 2*(-38)/(-10)*-5. Find the common denominator of 32/5 and -4 - v*2/14.
35
Let s = -3/103 + 6701/206. Let z be 8/36 - 2134/180. Let g = z + 174/5. Find the common denominator of g and s.
6
Let a = 8 - -2. Calculate the least common multiple of a and 18.
90
Suppose l + 75 = -4*l. Let j be 25/23*(-306)/l. Let m = j + -7079/368. Calculate the common denominator of m and -3/22.
176
Suppose -3*m + 3 = -15. Suppose 10 = -5*x + l, 2 = 2*x - 5*l - 17. What is the lowest common multiple of m and 2/3 + (-25)/x?
18
Suppose 0 = -4*g - 3*h + 5, -6*h + 8 = g - 3*h. What is the common denominator of -1 - g - 91/(-208) and -35*(-2)/36 + 2?
144
Let k = -9532 - -114307/12. What is the common denominator of 25/22 and k?
132
Let i be 3/12 - 14/(-8). Suppose -4*t + i*c - 9 = c, 0 = 3*c - 3. What is the smallest common multiple of 4 and t/9 + (-438)/(-27)?
16
Suppose y + 4*y - 540 = 0. Suppose -2*b = -5*k - 50, -5*b = -3*k - y + 2. Calculate the lowest common multiple of (16/10)/((-7)/(-70)) and b.
80
Suppose 2*f - 4 = 3*f. Let g = 1/4141 + 178053/41410. Calculate the common denominator of g and (-17)/4*(-3)/f.
80
Let n be 2445/20*(-8)/9. Let r = 259/3 + n. Find the common denominator of 43/10 and r.
30
Suppose w + 2*z = 0, 0 = -4*w + 2*w + 3*z + 14. Calculate the smallest common multiple of 10 and w.
20
Calculate the common denominator of (38/4)/(3/(18/(-33))) and 7/2.
22
Let b(j) = j**2 + 8*j - 2. Calculate the least common multiple of b(-10) and 14.
126
Suppose 9*m - 14*m + 50 = 0. Suppose 3*d - 2 = m. Suppose -5*x + 4*k = -3, -3*k - 3 = 4*x - 8*k. Calculate the smallest common multiple of x and d.
12
Let h be ((-658)/(-21))/((-32)/2247). Suppose -8*u + 3*u + 10975 = 0. Let r = u + h. Calculate the common denominator of 85/8 and r.
16
Let u = 348641/18 - 19363. Let h = -11905/6 + 1995. Calculate the common denominator of u and h.
18
Let r be (18757/28)/((-1445)/2). Let a = r + -2/1445. Calculate the common denominator of -123/20 and a.
140
Let i be -3*(-1 - 2/(-3)). Let z = i + -1. Suppose z*s - s + 1 = 3*n, -73 = -3*s + 5*n. Calculate the smallest common multiple of s and 6.
48
What is the common denominator of 26/(-117) + (-542)/(-252) and 109/22?
154
Let k be 16/10 + 2/5. Suppose -3*q = 2*j + q - 6, 2*j + k = 4*q. Calculate the smallest common multiple of 5 and j.
5
Let c be (-65)/(-9) + 6/(-27). Suppose 0 = 4*t + 16, 3*l - t = c*l - 8. Let o(f) = f + 3. Calculate the smallest common multiple of l and o(6).
9
Let a(u) = u**3 - 7*u**2 - 5*u - 6. Let f be a(8). What is the common denominator of 64/9 and 178/(-36) - 4/f?
18
Calculate the common denominator of 3*(825/54)/(-11) and 55/21.
42
Let x = -4180 + 41761/10. What is the common denominator of -31/66 and x?
330
Suppose -d + 0*f = f - 18, 0 = -4*d - 2*f + 76. Let a be ((-8)/d)/((-2)/(-10)). Calculate the common denominator of -39/8 and (a/(-3))/((-4)/249).
8
Calculate the common denominator of -57/5 and (-139)/20 - 5/20.
5
Let k = 2637 - 26341/10. What is the common denominator of -75/22 and k?
110
Suppose 0 = -4*p - 6*q + 2*q - 372, -5*q = -4*p - 327. Calculate the common denominator of ((-6)/p)/((-4)/(-32)) and -38.
11
Let h = 17 + -4. Suppose -2*j + 32 = 4*g - 2, -2*j + 10 = g. Calculate the smallest common multiple of h and g.
104
Let s = 1190/11 + -6489/55. Let v = -27017/9 + 2998. Calculate the common denominator of s and v.
45
Let i = 8 - -8. Let m(f) = f - 3. Let l be m(4). Let k(t) = 9*t**3 + 2*t**2 - 2*t + 1. Calculate the smallest common multiple of k(l) and i.
80
Let w be (-2)/(-9) - (-1576)/36. Suppose 0 = -2*u - 2*u + w. What is the least common multiple of 1 and u?
11
Let v = -2629/9 + 289. Let w = 295739/25 - 11826. Let n = w - -1069/100. Find the common denominator of n and v.
36
Let z(v) = 14*v**3 + 10*v. Let u be z(8). Suppose -5*p - u = -7*p. Let w = p + -50851/14. What is the common denominator of -151/18 and w?
126
What is the common denominator of 35/3 and (3/112*31)/(0 - -1)?
336
What is the common denominator of -26/33 and ((-5)/(-2))/5 + 573/(-90)?
165
Calculate the common denominator of 4/(-26) + (-1052)/(-416) and 4/16 + 33/(-8).
8
Let l = -45/2 + 18. Let c = 1270/3 + -408. Calculate the common denominator of c and l.
6
Suppose 2*k + 3*c = k - 1, 0 = -4*k - 5*c + 17. Calculate the lowest common multiple of k and 9.
72
Let z = 12 + -4. Suppose -10 = m - 2*m. Suppose -2*t + 14 = w, 3*t = w - t + m. What is the lowest common multiple of z and w?
24
Let u = 20 - 1. What is the common denominator of -31/3 and (2 - 30/14)*u?
21
Let b(w) = -3*w - 2*w**2 + 2 - 2*w - w**3 - 6. Let r be b(-3). Suppose j = -5*g + r, -j - 8 = -2*g + j. Calculate the smallest common multiple of 8 and g.
8
Let k be 3 - 0*(-1)/3. Calculate the common denominator of k/(-63)*(-49 - 2) and -33/10.
70
Calculate the lowest common multiple of (5/(-2))/((-2)/64) and 20.
80
Let u(z) = z + 12. Let v be u(-9). Suppose 3*b - 2*b = -v. Calculate the least common multiple of 10 and (b/2)/(12/(-80)).
10
Let f(w) = 6*w**2 - 4*w + 1. Let l(r) = r**2 - 1. Let n(u) = f(u) - l(u). Let j = -147 + 163. Calculate the smallest common multiple of j and n(2).
112
Let p = -28 + 49. Suppose -3*b + a = p, -4*b - 2*a = -5*b - 12. Calculate the common denominator of b*3/20 + 0 and -31/22.
110
Find the common denominator of 33/5 and 8/(-7 + (4 - 4)).
35
Let j = 19 - 19. What is the smallest common multiple of (9 - 8) + 4 + j and 9?
45
Let g(r) = r**3 - 6*r**2 - 6*r + 2. Let v be g(6). What is the common denominator of 4/v - 101/153 and 139/18?
18
Suppose 7*n = 2*n + 2*m - 2744, -2190 = 4*n + m. Let l = 2147/4 + n. Find the common denominator of -103/22 and l.
44
Let z = 64 - 41. Suppose -3*c + 4*m + z = 0, 3*c + m + 3 = c. Calculate the lowest common multiple of c and 9.
9
Let j = 0 - -6. Let k(c) = c**3 + 6*c**2 + 4*c - 2. What is the smallest common multiple of k(-5) and j?
6
Let p(n) = n**3 + 4*n**2 - n + 5. Calculate the smallest common multiple of 5 and p(-4).
45
Let a = -5801/1770 - 4/177. What is the common denominator of 34/7 and a?
70
Let t = 26 - 16. Let j(y) = 2*y. Calculate the smallest common multiple of j(6) and t.
60
Suppose -u - 5*v + 29 = 0, 3*v = u - 3*u + 37. What is the lowest common multiple of u and 82?
574
Let n = -28 + 36. What is the smallest common multiple of 90 and n?
360
What is the common denominator of (47/12)/(4/(-12)) and -58/3?
12
Suppose 0*y - 5*y + 20 = 0. Let c be 1354/10 - y/10. Suppose -3*t - 2*t - 5*h = -c, -3*h + 15 = 0. Calculate the smallest common multiple of 14 and t.
154
Let c = -80 - 250. Find the common denominator of (-125)/c + (-2)/6 and 119/20.
220
Find the common denominator of -89/10 and ((-294)/(-30))/(12/(-10)).
30
Let v = 13 + -9. Calculate the least common multiple of 10 and v.
20
Suppose -b = -4*z - 5*b + 44, 2*b = -z + 15. Let a = 13 - z. Calculate the least common multip