.
736
Suppose -2*n + 507 = -5*x - 1893, 16 = 4*x. Calculate the common denominator of n/(-198) + 2/(-6) and 13/12.
36
Suppose 0 = 2*o, -5*o - 8 + 6 = -g. Calculate the lowest common multiple of 9 and g.
18
Let h be (-10917562)/(-3795484) + (-4)/14. Let p = h - -2/12323. Find the common denominator of p and 3/22.
22
Find the common denominator of -173/42 and ((-3)/(-48))/((-1160)/544 + 2).
252
Suppose -3105 = -32*q + 5*q. What is the least common multiple of 3 and q?
345
Let z = -16829/8 + 2098. Let h = 631/24 - 17/8. Find the common denominator of h and z.
24
Let f be (-1841613)/(-4004)*4/318. Let x = f + 2/7579. What is the common denominator of -67/6 and x?
42
Let z(h) = -2*h**3 - 6*h**2 + h + 10. Let w be z(-5). Calculate the lowest common multiple of 8 and ((-24)/30)/((-6)/w).
56
Let x(g) = -6*g**2 - 3*g - 9. Let b be x(5). Find the common denominator of 5/22 and (b/(-45))/(((-128)/36)/4).
220
Let a(g) be the first derivative of 5*g**3/3 - 7*g**2/2 + 4*g + 5. What is the least common multiple of 6/24 - (141/(-12) - -4) and a(4)?
56
Let n = 19 + -27. Let w(p) = p**3 + 8*p**2 - 2*p - 7. Calculate the smallest common multiple of w(n) and 5.
45
Let c = -1310/171 - -224689/30096. Calculate the common denominator of c and 59/10.
2640
Suppose -d - 4*v = -20, -4*d + 3*v + 4 + 0 = 0. Let m(p) = 21*p + 1. Calculate the smallest common multiple of ((d - 1) + 1)*1 and m(1).
44
Let m be 4*(-4)/(-32)*-6. Let i(o) = -3*o + 1. Let l = -4 + 6. What is the smallest common multiple of l and i(m)?
10
Let q = -498 + 512. What is the least common multiple of q and 112?
112
Calculate the common denominator of 23/48 and ((-9282)/(-648))/(-17)*-3.
144
Let s be ((-7483858)/(-3))/((-8)/(-6)). Let q = s - 4610047691/2464. Let d = q - -1/224. Find the common denominator of -51/8 and d.
88
Let i(z) = -z**2 + 1. Let m be i(-4). Suppose 3*b + 4*a - 2*a + 62 = 0, 0 = 2*b - 3*a + 50. Calculate the common denominator of 33/8 and (48/10)/(b/m).
88
Suppose z - 111 = -2*n + 86, 0 = 5*z - 25. Calculate the smallest common multiple of n and 12.
96
Let g = 2/249437 - -26689315/55375014. Find the common denominator of g and 3/4.
444
Let l = -17 - -77. Suppose -c = 3 + 2, c + l = m. What is the least common multiple of m and 40?
440
Suppose 0 = -10*v + 668 + 632. Calculate the lowest common multiple of v and 91.
910
Suppose -42 = -v - n - 18, -2*v + 48 = n. Calculate the smallest common multiple of v and 228.
456
Suppose 4*o - 7*o = -4*i + 71, -46 = -4*i - 2*o. Calculate the least common multiple of i and 10.
70
Suppose 0 = k + 4*t + 20, 0 = -2*k - 2*t - 0*t - 46. What is the common denominator of (-143)/18 + (-8)/(-36) and (-32)/k*(-298)/(-48)?
18
Let j = -935/1008 + -103/63. What is the common denominator of j and -37/986?
7888
Suppose 3*g - 11 = -5*q + 4*g, q - 6 = 4*g. Suppose 0 = o + 5*i - 16, -32 = -2*o - q*o - 4*i. Calculate the least common multiple of (-2)/o - (-10)/3 and 7.
21
What is the least common multiple of (2*-2)/(((-3)/2)/3) and ((-3)/(-5))/(2/30)?
72
Find the common denominator of 6/54 - (-65)/36 and (-186)/(-16) - (8 - 6).
24
Let k(i) = -i**3 + 11*i**2 + 3*i + 35. Calculate the smallest common multiple of k(10) and 15.
165
Let y = -20123 - -3521452/175. What is the common denominator of y and 97/280?
1400
Let o = -2106 - -21007/10. What is the common denominator of -23/78 and o?
390
Let w be -3 - (-3)/(6/16). Suppose -4*c = -4*f + 10 + 6, w*f = -4*c - 7. What is the smallest common multiple of (-16)/(-2)*c/(-4) and 1?
6
Let x = 45/7 - 191/21. Let l = 7/6 - -4/3. What is the common denominator of l and x?
6
Suppose 5*g - 4 = -0*g - 3*l, -g + 4 = -l. Suppose 7*n = 50 + 195. What is the smallest common multiple of n and g?
70
Let q(c) = -c + 17. Calculate the lowest common multiple of 25 and q(-13).
150
Calculate the least common multiple of ((-17)/(-51))/((-2)/(-6)) - -199 and 140.
1400
Suppose 172 + 2734 = i. Let t = -8642/3 + i. Find the common denominator of -95/54 and t.
54
Suppose 13*j = 4*j - 360. Let h = j - -56. What is the lowest common multiple of h and 20?
80
Suppose 0*n - 25980 = -4*n. Suppose r - 4*r = n. Let s = 15196/7 + r. Find the common denominator of 43/6 and s.
42
Let z be -3 + (3952/(-5) - -1). Let a = -63027/80 - z. Let n = 45479/208 - 2892/13. Calculate the common denominator of n and a.
16
Let y = 8233196/768873 - -1538/2679. Let p = y + -117/41. Find the common denominator of p and -97/4.
28
Let i(f) = 7*f**2 + 2*f. Suppose 3*j - 195 = -159. What is the smallest common multiple of j and i(-2)?
24
What is the common denominator of 2*1 + 591/(-324) and -28*1*27/120?
540
Let c(s) = -2*s**2 - 4*s - 3. Let x be c(-3). Calculate the common denominator of 65/12 and (x/(-12))/(27/654).
12
Let q be ((-9614)/55)/(4/45). Let s = -2010 - q. Find the common denominator of s and -73/10.
10
Let a = -570 - -279. Let o = 37573529/22 + -1708181. Let i = a - o. Calculate the common denominator of i and -83/22.
22
Let d = -511 - -514. Suppose -v + 12 = w, -v + 11 - 2 = -2*w. What is the smallest common multiple of v and d?
33
Suppose -3*o + d + 1 + 23 = 0, -4*d + 23 = 5*o. Let y be 22/33 + o/3. Find the common denominator of -75/4 and y*231/144*-2.
8
Let y(w) = w**2 + 8*w + 7. Let m be y(-7). Calculate the common denominator of 40/3 and 4/16*(m - 47)*1.
12
Let z be 68780/(-11025) + -2 + 2. Let f = 4/245 + z. Let h = -348/17 - -33/34. Find the common denominator of h and f.
18
Let o be ((-99)/(-84))/((-27)/(-37)). Let a = o - 35/36. Let q = 40345/18 - 2240. Find the common denominator of a and q.
126
Let m be ((-28)/10)/((-3)/15). Suppose 4*y - 2*y - m = 0. Calculate the lowest common multiple of 11 and y.
77
Let f(r) = 7*r + 3. Let j be f(14). Let y = j + -47. What is the lowest common multiple of 8 and y?
216
Let c = 31221 + -31213. Let q(r) = r**2 - 2*r + 1. Calculate the smallest common multiple of q(-2) and c.
72
Let n be (-1 + 1318/4)*14. Let m = n + -18301/4. Find the common denominator of m and -29/8.
8
Let u = 2/449 - 2261/3592. Calculate the common denominator of u and (-4)/(-20)*1060/24.
24
Suppose -b + 10 = -0. Let n(r) = -r**3 - 13*r**2 - 12*r. Let d be n(-12). Suppose d*t = 4*t - 64. Calculate the lowest common multiple of b and t.
80
Let f(r) = r**2 - 7*r + 8. Let x be f(6). Calculate the common denominator of 49/x - 4/2 and (20/(-3) - -6)*(-111)/16.
8
Let z = 380599/560 - 4756/7. What is the common denominator of z and ((-5)/(-12))/(2/45)?
80
Let x be 0 - (0 + (4 - 2)). Let j be (-4 - (-3 + x)) + 714. What is the common denominator of -45/16 and (j/(-12))/5 - -1?
48
Let w = 1474 - 17717/12. Find the common denominator of w and 599/210 - 13/195.
84
Let g = 4 - -5. Calculate the lowest common multiple of g and 2 - 5 - (2 - (-12 - -22)).
45
Suppose -2*z + 2*g + 10 = 0, -15 = g + 2*g. Suppose z*v + v - w = 6, 2*w + 20 = 4*v. Suppose 2*q - 24 = -v. Calculate the smallest common multiple of q and 8.
40
Let z = -73005451/43961592 + -1576/17119. Let q = z - -19/428. Calculate the common denominator of -61/39 and q.
312
What is the lowest common multiple of (-302)/(-3775) - ((-223)/(-25))/(-1) and 812?
7308
Let y = 19/24 + 235/552. Calculate the common denominator of y and 21/8.
184
Let u = -110/9 + 239/9. Calculate the common denominator of u and -76/15.
15
Suppose -3708 = 5*w - 39538. Let d = -100397/14 + w. Calculate the common denominator of d and -59/20.
140
Calculate the smallest common multiple of -3*2*(11/(-2) + 1) and 144.
432
Let h(w) be the third derivative of -1/6*w**3 + 0*w + 3/20*w**5 + 3*w**2 + 0 + 0*w**4. Calculate the smallest common multiple of h(1) and 22.
88
Let z = 24413 + -976451/40. What is the common denominator of 17/46 and z?
920
Find the common denominator of (1/69)/((-2)/10) and 14/15.
345
Let z(w) = -5*w**2 + 37*w - 11. What is the lowest common multiple of 267 and z(7)?
267
Let y(o) = -11*o - 522. Calculate the lowest common multiple of 28 and y(-50).
28
Let w(g) = -9*g**3 + 3*g**2 + 2*g + 9. What is the least common multiple of w(-2) and 9?
801
Let g(h) = 693*h**2 + h + 6. Let y be g(-3). Let l = 15250517/6 + -2535538. Let k = y - l. Calculate the common denominator of -76/9 and k.
18
Suppose 5*w + 3*q + 17 = -q, 0 = -5*w - 5*q - 15. Let o(j) = 4*j + 3. Let k be o(-6). Find the common denominator of 107/22 and (w/k)/(