 Let z be d(-10). Suppose 5*i = -z*k + 49, -i + 7 - 38 = -3*k. What is the lowest common multiple of 14 and k?
84
Suppose -2*z + 294 = 3*z + 4*p, 2*z = 2*p + 114. Let v(q) = -q**3 + 5*q**2 + 4*q - 2. What is the lowest common multiple of z and v(5)?
522
Let g = -11/113988 - 35697055/1937796. Let t = 10/17 + g. Find the common denominator of t and 62/51.
102
Let c = -283/21 - -4211/420. What is the common denominator of 261/(-576) - (-11)/(-176) and c?
320
Let n(d) = -d - 4. Let z be n(-3). Calculate the common denominator of z/((-1)/((-69)/(-24))) and -73/8.
8
Let w be (-1 - -1)*(-7)/(-14) + 2. Suppose 0 = c - w - 2. What is the least common multiple of 4 and c?
4
Suppose -3*b + 3*x + 117 = 5*x, 99 = 3*b - 4*x. Let z be 19786/(-2340)*(-1 + -2). Let k = z + -76/5. Find the common denominator of b and k.
6
What is the lowest common multiple of 47*13 + (6 - -22)/(-7) and 11?
6677
Let s = 36 - 18. Let r(l) = 5*l - 36. Calculate the least common multiple of r(10) and s.
126
Suppose 0 = 5*n + 109*n - 13680. What is the lowest common multiple of n and 20?
120
Suppose -4*z = 5*j - 30, z + 5 = 4*j - 19. Suppose -3*f - 74 = 40. Find the common denominator of 2/3 and f/(j*(-16)/30).
24
Let x(d) = 17*d - 217. What is the lowest common multiple of x(13) and 62/2 + 2 + -2?
124
Calculate the common denominator of 83/70 and 6 - ((-453)/(-42) - 5).
70
Calculate the common denominator of ((-110)/(-12) - 2)/(-2) - -3 and 27/160.
480
Let a(s) = s**3 - 32*s**2 + 241*s - 5. What is the smallest common multiple of a(11) and 165?
1155
Suppose 21*r + 72 = 22*r. Calculate the least common multiple of 81 and r.
648
Let k = 0 + 8. Suppose -z = -19 + 4. Suppose -27 = -3*g + z. Calculate the least common multiple of g and k.
56
Let g = -180 - -364. What is the lowest common multiple of 16 and g?
368
Let g(x) = -151*x + 158. Let c(q) = -q + 10. Let b(d) = -d + 9. Let n(t) = 6*b(t) - 5*c(t). What is the least common multiple of g(1) and n(-5)?
63
Find the common denominator of 85/6 and (-114)/(-9)*(-15)/300.
30
Let p be 1083*(-10)/(-1245) + -9. Let u be (-8249)/(-996) - 1/(-4). Let m = p - u. Find the common denominator of m and 83/4.
12
Let y = 6 - 6. Suppose -2*m - t + 49 = 0, m - t - 29 = -y*m. What is the common denominator of 6/(-12)*82/9 and m?
9
What is the least common multiple of 3 and (45/(-10) - -4) + 535/10?
159
Calculate the common denominator of 1/(56/118) + (-41 - -40) and -121/18.
252
Let b = 1744 - 1339. What is the least common multiple of 5 and b?
405
What is the common denominator of 91/100 and (-2)/6*8/((-400)/(-295))?
300
Let n be 2 - (20/2 - -2). Let t be 6/(-30) - 252/n. Suppose -2*r - t = -4*r + 5*i, -5*r + 52 = -2*i. Calculate the least common multiple of r and 8.
40
Let q be 474/(-4)*568/(-6). Let j be (q/(-180))/((-2332)/12). Let l = j + -2/795. Calculate the common denominator of l and -47/22.
22
Let i(k) = 18*k**2 - k + 1. Let p = 1501 - 1487. Calculate the smallest common multiple of i(1) and p.
126
Let z(c) = 9 - 5 + 12 - 5 - 3*c - c**2. What is the lowest common multiple of z(-4) and 6?
42
Let x = -10279 + 164561/16. What is the common denominator of x and -19/280?
560
Let l(s) = 2*s**2 - 12*s + 4. Let y(r) = -2*r**2 + 12*r - 4. Let v(z) = -4*l(z) - 5*y(z). What is the smallest common multiple of v(6) and 11?
44
Let i = -534475/328 + 3259/2. Let x = i - -5077/2296. Find the common denominator of -61/32 and x.
224
Let n(u) = -14*u + 20. Calculate the smallest common multiple of n(-17) and 9.
774
Let v = -1/142966 + -30094317/3717116. Let f = v + 219/13. What is the common denominator of 47/40 and f?
40
Let w(f) = f**3 - 9*f**2 + 18*f - 25. What is the smallest common multiple of 577 and w(7)?
1731
Let t be 0 + -10*14/4. Let q = t + 96/5. Let n = 52/15 + q. Find the common denominator of 33/5 and n.
15
Calculate the common denominator of 1 + (-501)/(-324)*-2 and 101/216.
216
Suppose p = 4*p. Suppose p = 2*a - 13 - 7. What is the least common multiple of (160/(-60))/((-2)/3) and a?
20
Let h(y) = -84*y + 5. Let c(f) = -42*f + 2. Let p(u) = 9*c(u) - 4*h(u). Let x be p(1). Let d = x + 23. Calculate the common denominator of d and 51/5.
5
Calculate the common denominator of 2/27 and 4/16*2976/540.
135
Let q = 958 + -942. Calculate the least common multiple of q and 96.
96
Let o = -210 - -233. What is the least common multiple of o and 9?
207
Calculate the common denominator of 17/27 and 1 - (-3)/((-1782)/1074).
297
Suppose 7*n + 348 = 355. Calculate the least common multiple of n and 18.
18
Suppose -16*o + 187 = -197. Calculate the least common multiple of 24 and o.
24
Let f = 26020/7 + -11396977/3066. Find the common denominator of 33 and f.
438
Let i(r) = -r**3 + 5*r**2 - r - 10. Let t be i(7). Let x = 811/7 + t. Calculate the common denominator of (-2)/(-2) + 142/(-40) and x.
140
Let l = -2528529/70 - -36124. Let p = 12/35 + l. What is the common denominator of (-173)/(-12) - 1/(-3) and p?
4
Let h be 2 + (-1)/(2/(-12)). Suppose h*a - 102 = 10. Let u = 43 - 23. What is the smallest common multiple of a and u?
140
Find the common denominator of (-12)/96 - (-580)/96 and -31/322.
1932
Let r(v) be the first derivative of -2*v**3 - v**2 - v - 2. Let y be r(-1). What is the smallest common multiple of 22 and y/15 - (-67)/3?
22
Suppose -5*x - 15220 = -4*s, -3*s - 3030 = x - s. Find the common denominator of (-3)/(-4) - 8/(x/(-1305)) and -27/11.
209
Suppose -3*q + 6*q = 6. Let a(y) = 3*y - 4*y + q - 5*y - 4. Calculate the least common multiple of 7 and a(-2).
70
Let k = -2599 + 1836. Let r = -1567/2 - k. What is the common denominator of r and -1?
2
Let o be (-86)/3*(-40815)/100. Let g = -1593 + -10118. Let c = g + o. Find the common denominator of 55/7 and c.
70
Find the common denominator of 13/63 and (-112)/(-84) + (-53)/27.
189
Suppose -2*j - 5*h - 432 = 0, 4*j - 2*j + 4*h + 436 = 0. What is the common denominator of (-30)/15 + j/(-44) and 59/18?
198
Let v(h) = -6*h**2 + 5*h + 14. Let n be v(6). What is the common denominator of -82/33 and (-16)/42*n/(-32)*2?
231
Let c = -4281 - -42849/10. Find the common denominator of c and -11/214.
1070
Let n(w) = w**2 - 4*w + 7. Calculate the least common multiple of n(-3) and 28.
28
Let g = -71599/42 + 1706. Calculate the common denominator of -49/57 and g.
798
Calculate the common denominator of (-3)/9*((-176)/28 - -3) and -8/77.
231
Let u = -125/6 - -502/21. Let w be (-2416)/(-2414) + (-1)/1. Let s = w - -27747/16898. Calculate the common denominator of u and s.
14
Let m = -1542 - -3057. Let j = -1/1773 - 161341/3546. Calculate the common denominator of (m/(-36))/(-5) - -3 and j.
12
Suppose -41 = -2*x + 19. Let a = 378 - 268. Suppose -4*z - x = -a. What is the least common multiple of 8 and z?
40
Suppose -5*w = -5*h + 15, 4*h = -h - 2*w + 8. Let l = 3006/35 + -10369/140. Let i = -123/7 + l. Find the common denominator of h and i.
4
Suppose -4*p + 63 = 5*i + 14, -19 = -4*p + i. Calculate the lowest common multiple of p and 9.
18
Let h = 357/86 - 28/43. Let y = -11251/8 - -1400. Find the common denominator of y and h.
8
Calculate the common denominator of 1/(-9) + (-1362)/(-3024) and 17/72.
504
Suppose -120 = -21*n + 19*n. What is the common denominator of ((-78)/n)/(3/(-4)) and -91/40?
120
Suppose -6*o = -o + 5*k - 115, 4*k + 40 = 2*o. Let m(r) = -19*r + 173. Calculate the lowest common multiple of -1 + o - (6 - 5) and m(9).
20
Let y = -21 - -33. Calculate the least common multiple of y and 40.
120
Let y = 913/48 - 241/12. Find the common denominator of y and 3/7 + 445/56.
16
Let k(i) = 5*i**2 + 6*i - 5. Let c(x) = -2*x**2 - 3*x + 2. Let r(h) = 13*c(h) + 6*k(h). What is the least common multiple of r(2) and 15?
30
Let n be -12*(-4)/24*4. Let w be 4/n + (-17)/(-2). Suppose -4*t + w = -3*t. Calculate the smallest common multiple of t and 11.
99
Let a = -115 - -151. Suppose -2*z = -6*z + a. Calculate the least common multiple of z and 20.
180
Let r = -354 + 498. What is the smallest common multiple of r and 144?
144
Suppose -529 + 145 = 8*c. Find the common denominator of c and -71/225.
225
Suppose 5*x - 2*d - 5932 = 0, -d - 615 = -2*x + 1758. Let k = x - 2419/2. Calculate the common denominator of -29/22 and k.
22
Let o(k) = -k**3 - 12*k**2 + 14*k + 21. Let w be o(-13). Suppose w = 4*i, -2*m - i + 17 = -13. W