 derivative of -y**3/3 + 9*y - 5. What is the smallest common multiple of 1 and p(0)?
9
Suppose 0 = 5*j - 2*d + 4146, -2*d = j + 4*j + 4134. Let s be -1 + (-3)/j*317. Let c = s + -36/23. What is the common denominator of -3/2 and c?
12
Suppose 5*r - 31 = 14. Find the common denominator of (2/r)/(40/2235) and 47/6.
12
Let g(p) = 3*p - 18. Let x be g(7). Suppose -q = x*q - 72. Suppose -k - 3*k + 2*m = -q, 5*m = k. Calculate the smallest common multiple of k and 7.
35
Let v(t) = -t**2 - 27*t + 3. Calculate the smallest common multiple of v(-27) and 10.
30
Let w = 120220/27 + -4452. What is the common denominator of w and 22/48 + (-3)/(-9)?
216
Let p(f) = -f**2 + f + 2. Let x be p(2). Suppose x*l - l + 12 = 0. Let z = -5627 + 5643. What is the smallest common multiple of z and l?
48
Let z(q) = -q**3 + 12*q**2 - 15*q + 4. Let w = 19 + -9. What is the smallest common multiple of 1 and z(w)?
54
Let c(j) = 5*j - 5 + 8*j + 4. Suppose -178*i + 5*g + 17 = -179*i, 5*i - 25 = -3*g. Calculate the smallest common multiple of c(1) and i.
24
Suppose -28*i = 348 - 936. Let w(r) = 3*r**2 + r - 1. Calculate the least common multiple of w(1) and i.
21
Let g be ((-56)/(-10))/((-8)/(-20)). Let u(a) = -a**3 + 15*a**2 - 13*a - 10. What is the least common multiple of u(g) and 8?
8
Let l(v) = -v**3 - 8*v**2 + 3*v - 5. Suppose 5*x + 39 = -1. Let y be l(x). Find the common denominator of y/6*2 + -2 and -19/10.
30
Let k(l) = l**2 - 6*l - 3. Let d be k(6). Calculate the least common multiple of 15/3 - 5/(25/15) and (-15)/(-2)*(-2)/d.
10
Let b = -52423/22 + 2384. Let r = b + -61/22. Find the common denominator of -46/11 and r.
11
Let r = -432117/113828 - 1102/199. Let q = 1/1716 + r. Calculate the common denominator of 71/4 and q.
12
Let z = 4809 - 4803. What is the least common multiple of z and ((-8)/(-6))/(1/9)?
12
Suppose -366 = -2*z - 274. Calculate the smallest common multiple of 6 and z.
138
Let b(c) = c**2 - 6*c - 2. Let d be b(6). Let u = -32435/8 - -4049. Calculate the common denominator of -2 - (d/((-52)/(-193)) - -4) and u.
104
Suppose 0 = 5*h - 4*r - 31, -2*r - 22 - 1 = -5*h. Suppose -119*m + 1 = -118*m. Calculate the least common multiple of m and h.
3
Let b be (26 + 1)*781/1752. Let a = b - 30/73. Calculate the common denominator of -133/66 and a.
264
Let x(o) = o**3 - 3*o**2 - o - 6. Let y(h) be the second derivative of h**5/20 - 5*h**3/6 + h**2 - 2*h. Calculate the least common multiple of x(4) and y(4).
138
Suppose -5654 = -52*w + 3394. What is the smallest common multiple of 232 and w?
696
Let q = -41487095/329 + 126101. Let h = 1/47 + q. What is the common denominator of 71/6 and h?
42
Suppose -6*i + 500 = -i. Calculate the smallest common multiple of 100 and i.
100
Let l be 681/(-21) + 2 + 1. Let v = -1651/63 - l. Let n = 26 + -24. What is the common denominator of n and v?
9
What is the least common multiple of (-3692)/(-148) + 22/407 and 450?
450
Let o(a) = -a**3 + 6*a**2 - a + 2. Let v be o(4). Suppose 0 = -13*x + 1524 - 2343. Find the common denominator of (-162)/24*v/x and -49/10.
70
Find the common denominator of 37/88 and ((119/10)/(-7))/((-64)/10).
704
Calculate the common denominator of (-1)/3 + (-53)/3 and (-38)/11 - 234/429.
1
Suppose -q + 75 = -4*q. Let n = q + 21. What is the smallest common multiple of (-2310)/(-195) + n/(-26) and 10?
60
Let i(k) = -k**3 + 22*k**2 - 18*k - 36. Suppose -p - 2*r + 17 = 0, 8*r - 3*r - 53 = -3*p. Calculate the smallest common multiple of i(p) and 15.
135
Let m = 249717/765532 - 221/1219. Find the common denominator of 47/8 and m.
1256
What is the common denominator of -13/144 and (-99)/(-48)*247/171?
144
Let x(s) = -3*s + 3. Suppose 3*p + 24 = -5*p. Calculate the smallest common multiple of 45 and x(p).
180
Calculate the common denominator of (8/28)/(-6 - 1926/(-315)) and 61/48.
48
Suppose -37 = -4*g - x - 9, x = -g + 7. Suppose -22*s - 32 = -18*s. Calculate the least common multiple of -2 - g/(14/s) and 6.
6
Suppose -68 = 3*a + 16. Let s be ((-6)/4)/(21/a). Find the common denominator of -2 - (s + 23/10) and -137/18.
90
Suppose -10*i + 9*i = 5597. Let b = i - -44691/8. Calculate the common denominator of 38/9 and b.
72
Let g = -4 - -2. Suppose 6*n = 9 + 3. Calculate the least common multiple of ((-6)/(-10))/(g/(-10)) and n.
6
Let f(j) = 9659*j**3 - 3*j**2 - j - 5. Let u be f(8). Let r = 865406611/175 - u. Let l = -156/7 - r. Find the common denominator of -1/3 and l.
75
Find the common denominator of ((-21)/6)/(0 + 133/77) and -47/133.
266
Calculate the common denominator of ((-4)/6)/(48/(-618)) and (-4 - 485/(-40)) + -6.
24
Suppose -3*i + 10 - 1 = 0. Suppose i*d + 14 = 4*l, l = -6*d + 2*d - 6. Calculate the common denominator of l + (-3 - (-87)/(-8)) and 41/10.
40
Calculate the common denominator of (5/12)/(3*3/(-32)) and 40/21.
189
Suppose -4*y - l - 4*l = -69, -y - 4*l = -31. Let b be (-12)/16 + y/4. Find the common denominator of 4 and (-7)/(154/148) + b.
11
Let m = 11129/288 - 352/9. Let f = -4535/8 - -561. What is the common denominator of m and f?
32
Suppose 2*a = 10, -2*h - 2*h + 3*a + 17 = 0. Let x be h/(-438)*3/(-2). Let t = x + -1715/1314. What is the common denominator of 1/8 and t?
72
Let u = -146 + 146. Suppose -y = -5*t - u*y + 111, -24 = -t + 2*y. Let d = 23 - -5. Calculate the least common multiple of d and t.
308
Find the common denominator of ((-2193)/1548)/(1/(2*-1)) and 109/460.
1380
Suppose 0 = 2*l - 0*l - 6. Suppose -l*h - 4*m = 29, -27 = 4*h + h - 4*m. Calculate the common denominator of 57/h*7/(-2) and -7/6.
6
Let c(r) = -r**3 - 4*r**2 - r + 5. Let h be c(-4). Let z(x) = -22*x + 416. Let q be z(19). What is the smallest common multiple of h + (q + 4)/1 and 43?
473
Let z = -6105/3262 + 20/233. Calculate the common denominator of 5/4 and z.
28
Let n be (-3)/(-2) + (-13407)/12. Let b = n - -1098. Let u = -572 - -2269/4. Find the common denominator of u and b.
4
Let p = 42 + -12. Suppose 0 = 3*d - 12 + p. What is the common denominator of -49/8 and (-20)/d*(-450)/160?
8
Let w = 6407 + -153679/24. What is the common denominator of -139/12 and w?
24
Let s = 7477/1584 + -13/396. Find the common denominator of (19/2)/(3/15) and s.
16
Let a = -19548/5 - -410572/105. Let t = -2/35 - a. Find the common denominator of t and 20/70 - (-778)/(-28).
6
Let j = -703 - -715. Calculate the smallest common multiple of j and 26.
156
Suppose -12 = -3*v - v. Suppose 5*r + 530 = -5*g + 4*g, 0 = v*g. What is the common denominator of (13/26)/((-11)/r) and 35?
11
Let r = 110589/20 + -5528. Let i = 6131/1590 - 6/265. Find the common denominator of i and r.
60
Let c = 893 - 7161/8. Calculate the common denominator of 18/8*155/30 and c.
8
Let l(j) = 16202*j**3 - j**2 + 1. Let q be l(-1). Let p be 2699525/10*6/(-100). Let g = q - p. What is the common denominator of 7/22 and g?
220
Let h = -207346/21 - -9878. Let b = -138/7 + h. Calculate the common denominator of 93/8 and b.
24
Suppose 1823 = 10*i - 1987. What is the lowest common multiple of i and 5?
1905
Suppose 0 = -2*a + 62 - 6. Suppose -2*n - 50 = -5*f, 5*f = 5*n + 37 + a. Let v = -37 + 55. Calculate the lowest common multiple of f and v.
72
Suppose -s - 4*u = -375, -u - 1177 - 13 = -3*s. Calculate the common denominator of s/(-45) - 3/(-9) and 41/9.
9
Let a(h) = -h - 759. Let u be a(0). Let o = u - -2937/4. Find the common denominator of 31/14 and o.
28
What is the common denominator of (150903/(-2880))/23 - 18/(-15) and 21/8?
64
Let l(p) = p**3 + 16*p**2 + 13*p - 16. Let k be l(-15). Suppose -q = q - 16. Calculate the least common multiple of 142/9 - k/(-63) and q.
16
Calculate the common denominator of 65/176 and (9/32)/3*2983/628.
1408
Suppose -2*h - 25 = -z + 15, 4*z - 5*h - 157 = 0. Calculate the common denominator of ((-6)/16)/((-1)/z) and 115/14.
28
Let d = 12727/43800 - -2/1825. What is the common denominator of d and -11/72?
72
Let a be (-10)/(-15) - (-358)/(-6). Let f = a + 322/5. Calculate the common denominator of f and (285/20)/(5/2).
10
Let g = 172/17 + -13693/68. Let y = -207 - g. Calculate the common denominator of 43/10 and y.
20
Let c = 14 - -1. What is the common denominator of (-10)/(-1575)*-18 - 4/14 and (c/11)/((-9)/(-12))?
55
What is the smallest common multiple of 33 and (-31)/62 - (-271)/2?
1485
Let h(i) = i**2 + 18*i + 15. Supp