. Suppose 0 = -4*y - r*j + 7*j + 50, 0 = 2*j - 4. Let z(a) = -a + 33. Calculate the lowest common multiple of 16 and z(y).
144
Let s = 216 - 148. Suppose -y + 5*b = -s, 4*y - 347 = -0*b - 5*b. Calculate the lowest common multiple of y and 11.
913
Suppose 33 = 9*v + 15. Suppose 0 = -v*x - n + 99, n - 97 = -2*x - 2*n. What is the common denominator of x and 17/20?
20
Let h be ((-2)/(-37321))/(4 + -6)*2. Let d = 2724397/671778 - h. Calculate the common denominator of -23/9 and d.
18
Let n = 1 + -11. Let f = 14955/19 - 786. What is the common denominator of 9/((-315)/158) + 2/n and f?
133
What is the common denominator of -29/9 and (29 - (1 - -31)) + (-446)/(-165)?
495
Let v = -256448 - -112836991/440. Calculate the common denominator of v and -89/300.
6600
Suppose 2*k + s - 70 = -3*s, 4*s = 4*k - 104. Suppose k = -4*w + 213. Find the common denominator of -11/16 and 2 + 0 - (-1)/12*w.
48
Suppose 7*n - 3*n + 8 = 0. Suppose -205*c = -219*c - 224. Calculate the common denominator of 15/13 and (30/5)/(-24) - n/c.
104
What is the least common multiple of 189 and (6/(-9))/(10/90) - -114?
756
Calculate the common denominator of -88/135 and (0 - 5) + 3/4 + (-99230)/(-23400).
3510
Let d = 171 - 80. Suppose -63 = -7*c + d. Calculate the smallest common multiple of c and 40.
440
Let d(c) = 305*c + 8 + 301*c - 595*c. Calculate the least common multiple of 15 and d(2).
30
Let f = 221 + -126. Suppose -8*h - f = -3*h. Find the common denominator of 31/14 and (10/6 - 2)/(2/h).
42
Find the common denominator of (156/(-80) - -2)*2448/27 and 345/20*4/(-150).
150
Let q(o) = 3*o**2 - 4*o + 0*o**2 - 2*o**2 + 5. Suppose 84*n = 3*g + 80*n - 48, -g = 5*n + 3. Calculate the smallest common multiple of q(5) and g.
60
Let t be 6 - -3 - (2 - -2). Suppose 2*r = 5*f - 70, 3 + 2 = r. Calculate the lowest common multiple of (t/(-1))/5 - -51 and f.
400
Let v be (-90)/12*12/9. Let w = -4 - -7. Calculate the least common multiple of ((-12)/(-14))/(v/(-105)) and w.
9
Suppose -z + 1219 = -3*x, -158 = 3*x + 2*z + 1067. What is the least common multiple of 84 and x/(-55)*2 + (-2)/(-10)?
420
Let k = -511842780/34279 + 2667/19588. Let v = k + 14935. Calculate the common denominator of 51/8 and v.
56
Let q(j) = -30*j + 1205. Suppose 55 = -3*y + 5*y + 5*c, -3 = -3*c. What is the lowest common multiple of q(39) and (y/(-20))/(2/(-8))?
35
Suppose 71*m + 147110 = 61*m. Let s = m + 853317/58. Find the common denominator of -74/3 and s.
174
Let k(x) = x + 47. Suppose 0 = -13*t + 5*t + 1320. What is the lowest common multiple of k(-41) and t?
330
Let r(l) = -51*l - 14. Let s be r(-2). Let i = s + -68. Calculate the smallest common multiple of 8 and i.
40
Find the common denominator of 7/190 and (-5 + 808/160)/((-145)/(-490)).
5510
Suppose -6*s + 10*s - 20 = 0. Let i(t) = -2*t**3 - t**2 - 2. Let a = 24 - 26. What is the lowest common multiple of s and i(a)?
10
Let w = -844/5 - -165. Let a(t) = 634*t**2 - 19*t + 16. Let g be a(-7). Let r = g + -1529483/49. Find the common denominator of w and r.
245
What is the common denominator of (1518/(-1080))/((-145)/(-15)) + (-1)/(-4) and 53/60?
1740
Let k = -1942/7 + 277895/1001. Calculate the common denominator of k and (7 - 1)/(-1)*(64607/2067 + -31).
143
Suppose 5*o - 926 = -27*h + 23*h, -5*o + 458 = 2*h. What is the lowest common multiple of h and 9?
234
Let d be -18*(20/6 + 0). Let m = 2925 - 35161/12. Find the common denominator of m and (-33)/d - 0/(-1).
60
Suppose -91*l = -98*l + 154. What is the least common multiple of 2302 and l?
25322
Let l(m) = -m + 83. Let b be l(-35). Let h = b + 96. What is the lowest common multiple of 18 and h?
1926
Suppose -3*v + 27 = 0, -143*z + 4*v = -140*z - 1494. What is the smallest common multiple of z and 54?
4590
Let f(u) = 44*u - 2. Let a be f(1). Let j = a + -34. Let v(c) = -c**3 - 2*c**2 + 4*c - 6. What is the least common multiple of j and v(-4)?
40
Suppose 3*n = -3, j - 3 = -3*j - n. Let k be j/(2 + -1*214/108). Calculate the common denominator of ((-258)/k)/(4/(-3)) and -85/4.
12
Let y(q) = q**3 + 9*q**2 + 19*q + 15. Let r be y(-6). Find the common denominator of -7/34 and (-31)/r*(12/(-1))/4.
102
Calculate the common denominator of ((-115)/(-4))/(54120/3936) and ((-214)/60)/((-13)/(-3)).
1430
Let m(h) = h**3 - 8*h**2 + 9*h + 6. Let i be m(7). Suppose -i*f + 20 = -15*f. Let s = 22 + 0. Calculate the least common multiple of s and f.
44
Let i = -290 - -420. What is the lowest common multiple of i and 195?
390
Let a(i) = 12*i**2 + 52*i - 498. Calculate the least common multiple of a(9) and 282.
44274
Let k(j) = -16*j - 2. Let w(c) = c**3 + c**2 - c - 1. Let z be w(0). Let d be k(z). Suppose -12 = -16*b + d*b. What is the lowest common multiple of 11 and b?
66
Let y(o) = o + 42*o**2 + 38*o**2 - 77*o**2 + 1. What is the smallest common multiple of 10 and y(-1)?
30
Let n be (21/35)/(3/1215). Let b = 270 - n. Calculate the lowest common multiple of 96 and b.
864
Let i be (20/(-8) + 0)*(-3 + 5). Let c be 57*i/(-15) + 2. Find the common denominator of -103/6 and 6/c - (19116/280)/9.
30
Let a be 44/66*1*(2 - -1). Let c be ((-7)/21)/(a/6) + 1. Suppose 0 = -2*v, v = 5*w - c*v - 20. What is the smallest common multiple of w and 3?
12
Let a = -47 - 9. Find the common denominator of (-1734)/459 + (1 - 2) and ((-4)/(-50))/(a/6230).
90
Suppose 3*w - 28 = 4*l + 10, -4*w = 4*l - 4. What is the smallest common multiple of -5 - (-8)/1 - 0 and w?
6
Calculate the least common multiple of -3 - (3 - 4)*4320 - 7 and 30.
12930
Let q = -189 + 372. Let h = -178 + q. What is the smallest common multiple of 7 and h?
35
Suppose 6*v - 4*v - 3*t - 3 = 0, 0 = -4*v - 4*t + 16. Suppose -4*d + v*q + 85 = -90, 5*d - 4*q = 220. What is the least common multiple of d and 40?
40
Let l(r) = -579*r**3 + 5*r**2 + 5*r + 1. Calculate the lowest common multiple of l(-1) and 1.
580
Let f = 23 + -3. Let i(t) = 132*t - 2628. Calculate the lowest common multiple of i(20) and f.
60
Let z(k) = k**2 - k - 27. Let j be z(0). Let w(h) = -5*h**2 - 3*h + 2. Let s be w(2). Let n = s - j. Calculate the least common multiple of 11 and n.
33
Suppose 7 + 17 = 3*q. Let w(u) = -23 - 5*u + 40 - 27 + u**2. What is the smallest common multiple of 40 and w(q)?
280
Let r(g) = -3*g + 2 + 2*g - 1. What is the smallest common multiple of r(-4) and 33 + -26 + 0 + -3 + -1?
15
Calculate the common denominator of (-61035)/93288 + 12/138 and 31/221.
1768
Suppose -7*v + 6*v + 2*c - 5 = 0, v - 4*c = -11. Calculate the common denominator of -3/140 and v/((-2079)/(-8298)) + 4/(-22).
420
Suppose -4*p + z + 122 + 71 = 0, 5*z + 132 = 3*p. Calculate the lowest common multiple of 462 and p.
3234
What is the common denominator of (-124434)/825552 + (40/52)/5 and 13/1078?
38808
Suppose 0 = -r - 3*m + 97, 101 = 2*r - r + m. Let t = r - 69. What is the smallest common multiple of 22 and t?
374
Let k be (8/((-32)/(-470)))/(-1). Let c = k + 143. Find the common denominator of c and -39/8.
8
Let a = 1662535461/263 + -329362829443007/52103456. Let n = a - 15630/151. Find the common denominator of n and 29/10.
6560
Let b = 2063 - 2058. Let r = 3 + -2. What is the smallest common multiple of r and b?
5
Let g = 1/13851 + 1094213/221616. Let p be (-16 - 4)/(3 - 1). Calculate the common denominator of p + 2 + 5005/754 and g.
464
Let o = -20764 - -373847/18. Calculate the common denominator of o and 125/738.
738
Let w = -11 + 19. Let q(o) = 4*o**2 + 13*o - 10. Let g be q(-9). Let n = -191 + g. What is the least common multiple of n and w?
24
Let z = 943563/32 - 29484. Let m = -6133/536 - 29/67. Find the common denominator of z and m.
32
Let l = 4720156737/3350 - 1409002. Calculate the common denominator of l and -39/268.
6700
Suppose 0 = 4*p + 3*h + 10, 3*h = 4*h - 2. Let d(f) = f**3 + 3*f**2 - 5*f - 8. Let x be d(p). Find the common denominator of 34/3 and 146/(-24)*x/(-3).
9
Let o(v) = v**3 - 16*v**2 - 14*v - 11. Let x be o(17). Let s = -31 + x. Let w = -74 + 95. What is the least common multiple of w and s?
63
Let b = -23865 + 96281/4. Let l = 208 - b. What is the common denominator of l and -39/11?
44
Let w be (-2)/(-13) - 232/1664. Let x = w + 499/1456. What is the common denominator of x and -79/44?
308
Let n = 29941 + -18124. Calculate the common denominator of (n/(-546))/((-72)/14) and -103/36.