
66
Suppose 5*i - 16 = i. Let q(n) be the second derivative of n**5/20 - n**4/6 - 5*n**3/6 - 10*n. What is the lowest common multiple of q(i) and 6?
12
Let n(i) = -4*i - 10. Calculate the least common multiple of 8 and n(-4).
24
Let i(c) be the third derivative of 7*c**6/60 - c**5/60 + c**4/12 - c**3/6 + c**2. Suppose 1 = 5*h - 4. Calculate the smallest common multiple of 12 and i(h).
84
Let t(z) = -z**3 + 13*z**2 - 9*z - 28. Let j = -12 - -23. Suppose 4*v = 3*i - i - 8, 3*i - 5*v = j. What is the least common multiple of t(12) and i?
8
Let t = 1 + -15. Suppose -5*d + 3*s + 84 = -s, 36 = 2*d - s. Calculate the common denominator of -55/2 and 5/d*(-316)/t.
14
Let w = -18 - -21. Suppose s - 5*a - 2 = 0, 18 = 2*s - 0*s - w*a. What is the lowest common multiple of 20 and s?
60
Let s = -3270 - -52353/16. Let r be 4/10 - 80/(-50). What is the common denominator of s and 1424/(-12)*r/(-48)?
144
Let q = -933/292 + 6163633/1928660. Let v = q - 18560062/19815. Let f = v - -948. Find the common denominator of f and -19.
3
Let h = -4 - -7. Suppose 2*d - h*d = -2*l - 197, -195 = 2*l - 3*d. Calculate the common denominator of l/(-48) - (1 + 0) and -81/14.
112
Let f(d) = -3*d**3 + d**2 - 4*d - 2. Let x be f(-3). Suppose 0*c - 5*c = -x. Suppose -c = -3*j + 16. Calculate the least common multiple of 14 and j.
84
Suppose -14*w - 18 = -354. Calculate the smallest common multiple of 24 and w.
24
Let x = 20 - 51. Let r = -17 - x. Calculate the least common multiple of r and 8.
56
Let z(l) = 55*l. Let s(k) = -3*k - 1. Let i be s(-1). Let n be z(i). What is the common denominator of 101/6 and 54/n*75/(-10)?
66
Let n = 10767/2104 + 2/263. Let k = 3460 - 31072/9. Calculate the common denominator of n and k.
72
Find the common denominator of 99/4 and (-690)/385 + 6/14.
44
What is the common denominator of (-6)/(-12) + 16/14 and (-74)/(-21)*9/4?
14
Let d = -5093/23086 + 10/679. Let r be 1/(-3) + 3119/204. Let l = r + d. Calculate the common denominator of l and -13/2.
4
Let t be (-9)/2 - 12/8. What is the common denominator of (-182)/(-4) - (-5 - t) and -91/2?
2
Let z = 2717 - 27253/10. Suppose -4 = -5*k + 16. What is the common denominator of (k/(-9))/(1/(-12)) and z?
30
Let n(h) = -2*h + 8. Calculate the smallest common multiple of n(0) and 16.
16
Find the common denominator of 35 and (18/(-84))/(9/132).
7
Let h = -2217 - -4343/2. Let i(m) = -331*m**3 + m. Let r be i(1). What is the common denominator of 2/6 - 505/r and h?
22
Let l be (-2)/(-5) - (-736)/(-40). Let h = l - -22. Calculate the lowest common multiple of 7 and h.
28
Calculate the lowest common multiple of -2 - 0 - (-9 - (-1 + -3)) and 2.
6
Find the common denominator of 117/14 and 6/(-21) - (549/210 + 2).
70
Find the common denominator of 2/60*(-534)/4 and ((-23)/(-46))/(4/90).
20
Suppose 7*y - 44 = 3*y. What is the lowest common multiple of ((-3)/2)/((-6)/24) and y?
66
Let i = 22/47 - 293/1128. Calculate the common denominator of 75/2 and i.
24
Suppose m + 0 - 5 = 0. What is the lowest common multiple of 6 and m?
30
Let m = 68549/22 + -3115. Calculate the common denominator of -61/170 and m.
1870
Let g be (-7745)/14*(-53)/5. Suppose 5*l - 5*y + 16298 = -13027, 5*y = -15. Let d = g + l. What is the common denominator of d and -65/4?
28
Let i(s) = 1505*s + 2. Let b be i(-3). Let z = b - -36173/8. Find the common denominator of -79/2 and z.
8
Find the common denominator of (-73)/(-110) + 2/10 and (-2)/6*(-972)/128.
352
Let f = -13 - -15. What is the lowest common multiple of f and 6?
6
Let d(q) = -q**2 + 13*q + 14. What is the smallest common multiple of 8 and d(13)?
56
Let l(t) = -t**3 + 21*t**2 - 19*t - 8. Calculate the lowest common multiple of 4 and l(20).
12
Find the common denominator of 2 + 1/((-8)/29) and -1/14.
56
Suppose 4*g - 23 = -3*s + 2*s, 0 = g - s - 2. What is the smallest common multiple of 4 and g?
20
Let v = -65/4 + -5/4. Calculate the common denominator of v and 57/40.
40
Let f = 973 + 283. Let a = f + -5089/4. Find the common denominator of 2/(-5)*(-86)/(-4) and a.
20
Let t be 2/(-3) - 352/(-6). Calculate the common denominator of (-1)/2*t/(-13) and 15/11.
143
What is the common denominator of (188/12)/((-14)/3) and 5/14?
14
Let b be (-25 + 2 + -2)/(-1). Let o = 41 - b. What is the lowest common multiple of o and 4?
16
Let s = -99/115 - -10043/1380. Suppose -4*f - 4*u + 36 = 0, -f + 0*u + 2*u = 6. What is the common denominator of s and (-255)/(-12) - (-2)/f?
12
Suppose -15 = -4*x + 29. Calculate the smallest common multiple of x and 4.
44
Let h = 1/1080 - 16561/1080. What is the common denominator of -104*3*(-3)/(-54) and h?
3
Let f(s) = s**2 + 7*s + 1. What is the lowest common multiple of 2 and f(-8)?
18
Let m = 523/3164 - -58/113. Calculate the common denominator of 49/16 and m.
112
Let b = 1 - -1. Calculate the least common multiple of b and 8.
8
Let p = 212673/22 + -9662. Let f = -3 + 1. Calculate the common denominator of 2/(48/(-237)) - f and p.
88
Suppose -5*d = -5*t - 0*t - 30, -12 = -2*d + 3*t. Let n = -34 - -48. Calculate the smallest common multiple of n and d.
42
Suppose 10*s - 3*s = 42. Calculate the least common multiple of s and 18.
18
Let f = 14693/20 + -3693/5. Find the common denominator of f and -65/22.
220
Let h = 9/136 - 1577/1224. Calculate the common denominator of 17/10 and h.
90
Let t = 11803644 - 1699733845/144. Let v = t - -580/9. What is the common denominator of v and 77/16?
16
Let b = 45492670/54201 - -12/18067. Let f = b - 1727/2. What is the common denominator of -11 and f?
6
Let h(o) = o**3 + 10*o**2 + 4*o - 10. Let b be h(-8). Suppose 4*v = -2*f - b, -54 - 82 = 4*f - v. Find the common denominator of f and -83/4.
4
Let l = 0 + 8. Calculate the least common multiple of 38 and l.
152
Suppose 4*h - 9 = 7*h. Calculate the common denominator of (-1)/(-2) + h + 2 and 4/9.
18
Find the common denominator of (-1296)/(-64)*(-1 - 5/(-4)) and 67/22.
176
Calculate the least common multiple of -1*2/(-2)*8 and (-2)/7 - (222/21)/(-2).
40
Let w = -9 - 35. What is the common denominator of (121/(-3))/(40/6) and (-2 - 142/w) + -4?
220
Let u = 281/6 - 46. What is the common denominator of 95/28 and u?
84
Suppose -2*l - 3*w + 95 = 2*w, 9 = 3*w. Calculate the common denominator of 0 - -2*(-194)/l and 19/16.
80
Let d = 26 + -20. What is the smallest common multiple of d and 22?
66
Suppose 0 = 2*u - 25 + 3. Suppose 3*a = 7*a - 20. Suppose -a - 35 = -4*g. Calculate the smallest common multiple of g and u.
110
Calculate the common denominator of 43/4 and ((-80)/48)/((-4)/(-14)).
12
Suppose j - 30 = -2*j. Calculate the smallest common multiple of 22 and j.
110
Calculate the common denominator of 1/12 and (-1)/24*(-2079)/(-14).
48
Let v = 19 + -5. Suppose -5*p = -3 - 7. What is the lowest common multiple of v and p?
14
Suppose 5*z - 3*l - 21 = 0, 5*l - 33 = -3*z - 0*l. Calculate the lowest common multiple of z and 18.
18
Let g = 13 + 5. Calculate the common denominator of -9/20 and (g/96)/(3/(-26)).
40
Calculate the smallest common multiple of (9/(27/(-120)))/(-1) and 40.
40
Suppose 0 = -b + 4*b - 24. Let w(s) = s**3 + 5*s**2 - 2 + 2*s - b*s**2 + 2*s**2. Calculate the smallest common multiple of w(2) and 4.
12
Suppose 0 = b - 1, 4*o + 3*b + b = 24. Suppose 2*d = -3*h + 31, 0*d + 18 = d + 2*h. Calculate the least common multiple of d and 8 - o/((-10)/4).
40
Let f be (312/333)/(4/(-6)). Let w = 862621280/333 - 2590459. Let b = f + w. What is the common denominator of -83/10 and b?
90
Let b be 4/(-6) - 1321/(-1977). Let g = -200/18417331 - 861617205373/72822126774. Let d = g - b. What is the common denominator of d and 123/20?
60
Let z = -8565 - -68423/8. What is the common denominator of -56/3 and z?
24
Let k(r) = r + 15. Calculate the lowest common multiple of k(-5) and 40.
40
Suppose -3*c = -4*f - 7 - 6, 5*f = -5*c + 10. What is the least common multiple of c and 10?
30
Let b = -559/232 + 320/29. What is the common denominator of (-3 - -5)*43/22 and b?
88
Let h(f) = 243*f**2 - 6*f - 6. Let p be h(6). Let d = 18583173/10 + -1867034. Let w = p + d. Find the common denominator of w and 18.
10
Suppose 0 = -u - v + 34, 5*u - 8*v - 200 = -3*v. Let w = -17 + u. Suppose 0 = 2*s + s - 60. Calculate the lowest common multiple of s and w.
20
Let i = -3655/2178 - -35/121. What is the co