 920 = -4*k, 5*k + 206 = 5*h - 6*h. Let r = 238 + h. What is the lowest common multiple of 34 and r?
204
Suppose 25 = 5*k - 3*d - 58, d - 79 = -5*k. Suppose -3*t + 0*t = -174. What is the smallest common multiple of k and t?
464
Let g = -183 - -207. Suppose 5*r = 4*v + 205, 4*r = 5*r + 4*v - 17. Let n = r + -4. What is the lowest common multiple of n and g?
264
Suppose -7*f - 43626 = 24309. Let k = -795911/82 - f. Find the common denominator of k and 143/12.
492
Let c = 5/4531 + 122237/90620. What is the common denominator of (-2)/(-6) + 50/696 and c?
580
Suppose 305*i + 70522 - 268775 - 312012 = 0. What is the least common multiple of 478 and i?
3346
Let y(d) = 2*d + 15. Let a(h) = h + 7. Let g(o) = 14*a(o) - 6*y(o). What is the lowest common multiple of 48 and g(11)?
240
Suppose -2*o = -5*t - 41, 5*o - 9*o - 5*t + 7 = 0. Suppose -5*s = 4*i, 4*s = 2*s - o. Calculate the least common multiple of 42/i - 34/85 and 74.
296
Suppose 24 = -15*a + 99. Suppose 5*d + 11 = 5*m + 6, -m - a*d = -7. What is the lowest common multiple of m and 7?
14
Let f(n) = 3*n**2 + 58*n - 167. Calculate the lowest common multiple of f(-22) and 223.
2007
Suppose s - 21 = -0*s. Suppose -53 + s = -4*z. What is the lowest common multiple of 6/10*4830/207 and z?
56
Let m = -18630 - -22077. What is the least common multiple of 1149 and m?
3447
Suppose 0 = -o - 5*z + 25, 0 = -5*o - 5*z + 108 - 23. Calculate the least common multiple of o and 9.
45
Let x = 229410/19 + -7243837/684. Let y = -1480 + x. Calculate the common denominator of 57/2 and y.
36
Let r = -100 + 89. Let v = -13 - r. Calculate the common denominator of (-5*(-44)/48)/v and 43/27.
216
Let m = 37 + -19. Let i be (-1804)/m - (-26)/117. Find the common denominator of -1*(-5 - 462/i) and -61/16.
400
Let u be 1/((2/12)/((-6)/(-36))). Let z(f) = 19*f - 15. Calculate the lowest common multiple of 20 and z(u).
20
Suppose g + 13 = 5*t - 2*g, -4*t + 4 = 4*g. Suppose -5*l + 4188 = t*j - 6405, -l = -3. Let p = j + -52841/10. What is the common denominator of 85/12 and p?
60
Let t = -19/3 - -65/6. Let g be (8/1422)/((-14)/(-21)). Let r = g - 19213/1896. What is the common denominator of t and r?
8
Suppose 4*c + 0*c + 8 = 0. Let x(u) be the third derivative of u**5/30 + 7*u**4/24 + 3*u**3/2 + 9*u**2. What is the lowest common multiple of 57 and x(c)?
57
Suppose 14*x - 3*x = -23672. What is the common denominator of -9 + x/(-168) + 0/(-2) and ((-1)/27)/((-4)/606)?
126
Let w = 34447636 - 21391977001/621. Let m = 175/23 - w. Calculate the common denominator of m and ((-24)/9 + 1)*76/5.
27
Let h = 11488 + -80414/7. Suppose -1040 = 2*j + 3*j. Find the common denominator of h and j/(-55) + 12/30.
77
Let d = 528 - 526. Suppose -5*j = -2*c - 3*c + 600, -d*c + 3*j = -239. What is the lowest common multiple of 110 and c?
1210
Let i(v) = v**2 - 3*v + 4. Let f be i(0). Suppose -f*b = -395 - 13. Find the common denominator of 32/95 and (-2)/12*-6 + b/(-10).
95
Let n = 9961 - 8890. What is the least common multiple of 63 and n?
1071
Let x(t) = t**2 + 65*t + 544. Calculate the least common multiple of x(-8) and 88.
88
Let y = 19462 + -3970273/204. Calculate the common denominator of (2 + 256/(-66))/((-264)/297) and y.
2244
Let w be 1*20/(-14) + (-84)/147. Let s = -691/15 + 487/10. Calculate the common denominator of 10/w - (-2456)/240 and s.
30
Let a(x) = 15*x**2 - 5*x + 34. Let p be a(-24). Let g = p - 290170/33. Calculate the common denominator of g and 17/6.
66
Let q = -10395983763/777829 + 173750/13. Let k = 4248203/3589980 + q. Find the common denominator of k and 115/36.
180
Suppose -35230 = -5*s + 2*b, 8*b - 11*b + 35230 = 5*s. What is the least common multiple of 7 and s?
49322
Suppose 11*z + 33769 = 33923. Suppose 4*i - 5*u = -99, 2*i + 2*u - 7*u = -37. Let w = 51 + i. What is the least common multiple of z and w?
140
Suppose 29*z - 33*z = 36. Calculate the least common multiple of 3 - 18*z/6 and 51.
510
Suppose -4575 = 5*o - 2400. Let b = 17604 - 1126693/64. Find the common denominator of b and (4/8)/(30/o).
64
Let f = 778 - -6. Calculate the least common multiple of f and 10.
3920
Let n(d) = d**3 + 9*d**2 - 9*d + 12. Let g be n(-10). Suppose 0 = -5*r + 26 + 14. Find the common denominator of r/g + 3/12 and -89/16.
16
Let r = -19491 + 22956. Calculate the smallest common multiple of 1155 and r.
3465
Let n = -2035 + 16353/8. Calculate the common denominator of ((-46)/4)/((-64)/12) and n.
32
Let l be -4 + 3 - -12 - (1 - -2). Let u(b) = -3*b + 26. Let s be u(l). Find the common denominator of 402/40*s/(-9)*3 and 43/15.
30
Suppose 7 - 9 = -n. Suppose -10*s + n*s + 600 = 0. Calculate the least common multiple of s and 9.
225
Let x be (-374258)/661408 + -2 + (-96)/(-48). Let u = 49/1879 + x. Calculate the common denominator of -75/8 and u.
176
Find the common denominator of (-24)/52 + (-38221)/43290 and 37/459.
4590
What is the common denominator of 14/45 and 6/12 + 1713/(-3330)?
1665
Let n = -28741512131973/888358970 - -3808/5225641. Let l = -32354 - n. What is the common denominator of l and 57/10?
170
Suppose -5437*c = -5423*c - 4200. What is the lowest common multiple of 20 and c?
300
Let y(a) = a**2 - 15*a - 14. Let t be y(16). Calculate the common denominator of (50 - (-3 + 0))/(480/16) and -17 + 3/(9*t).
30
Suppose -2*r + 2 + 7 = 3*w, 3*r = 2*w - 6. Let z = 564 - 811. What is the least common multiple of z/(-8) - (-123)/984 and w?
93
Let o be 1835 - 1 - (-11 + 16). Let q = o + -14587/8. Find the common denominator of q and -133/12.
24
Suppose 18*j - 6906 + 804 = 0. What is the least common multiple of 15 - (-6 + 4 + -4) and j?
2373
Suppose -5*l - 154*a + 370 = -156*a, 2*l + a - 148 = 0. What is the lowest common multiple of l and -10*5/((-75)/12)?
296
Suppose 16328 = -8*r + 21*r. Suppose 0 = 4*x - r + 1012. What is the lowest common multiple of 8 and x?
488
Let w = -684425 - -312097649/456. Find the common denominator of w and -107/1824.
1824
Let k = 3106507/224 - 13868. What is the common denominator of -5/96 and k?
672
What is the common denominator of 149/372 and (-754)/(-232) + (-272)/93?
372
Let k(s) = 3*s**2 - s - 4. Let p be k(-2). What is the common denominator of ((-159)/4)/((-8)/((-112)/21)) and (-4)/p*(-485)/76?
38
Calculate the common denominator of (-65)/(-4)*(-264)/98736 and -31/154.
10472
Let j be ((-54)/(-12))/(9/12). What is the common denominator of -51/10 and (2 - j - 33)*(-3 + 4)?
10
Let n = 232 - 240. Calculate the least common multiple of 162/24 - 7 - 74/n and 12.
36
What is the common denominator of 31/27 and (13 - (-502455)/(-27945)) + 5?
1863
Suppose h + c = 28, 0 = -5*h + 2*c + 68 + 72. Let v be 2 + 6024/h + 0. Let g = 26779/126 - v. Find the common denominator of g and -1/18.
18
Let b be (5 + 0)*30/237225. Let f = 12622/47445 + b. Let l = -225/71 - -13351/1278. Find the common denominator of f and l.
90
Let n = 8579102360/47 - 182543357. Let v = 9265 + n. Calculate the common denominator of 12 and v.
47
Let a = -3/2884 + 73575/31724. What is the common denominator of (45/30)/(21/23) and a?
154
Let z = 0 + -1. Find the common denominator of 105/(-7) - -10 - (-182)/12 and z/(-11)*474/(-18).
66
What is the common denominator of -33/32 and ((-129)/(-102))/((1 + -34)/(129/602))?
41888
Let v be ((-165)/(-44))/(-1*(-1)/48). Suppose 171 = 5*s - 3*y + 7*y, 0 = 5*s - 5*y - v. Calculate the least common multiple of 40 and s.
280
What is the smallest common multiple of 53 and (-8)/(-24)*8*(-477)/(-3)?
424
Let w = 1637 - 1547. Calculate the smallest common multiple of 147 and w.
4410
What is the common denominator of 15695/(-16168)*5/150 and -1/60?
11280
Suppose -5*u + 25 = 5*q, -2 = -4*u + 4*q + 10. Find the common denominator of -17/8 and 30/(-390)*218/u.
104
Let w = 171421/15 - 11423. What is the common denominator of w and -47/132?
660
Let a be 10/(-96)*-2*(-138564)/6192. Let h = a + 141/32. Calculate the common denominator of h and 11/10.
430
Let c be ((-33)/15 - -1)*-5. Suppose 5*v + 2*m = -0*m + 3, -2*m = 2*v - c. What is the common denominator of (-1564)/(-144) + v/((-9)/2) and -109/36?
36
Let j(n) = 6*n**2 + 1. Let g be (282/4)/((-25)/10 + 3). Let q = -137 + g. Calculate the least common multiple of j(1) and q.
28
Let n = 231/4 - 485/8. Find the common denominator of n and 113/728.
728
Let n = 6699/17