i*n = 2*b - 26, -2*b + 0*n + 22 = -n. Calculate the least common multiple of b and 4.
36
Suppose -3*z + 70 = -4*h, 6*z - 2*h = 2*z + 90. Suppose 263*c - 264*c + 10 = 0. Find the common denominator of (-3 - -1) + 18/z and c.
11
Let b be -2*(0 + -4 - 7). Calculate the common denominator of (-18 + -1)/((-16)/(-10)) and (-234)/(-28) + (b - 23).
56
Let p(i) = -520*i**2 + 2*i - 1. Suppose 4*k - 4 = -0. Let w be p(k). What is the common denominator of w/(-240) - 8/(-20) and -79/2?
16
Let a(y) = y + 8. Suppose 3*d = -2*h + 36, -3*d = -4*h - 0*d + 72. Suppose h = 9*t - 7*t. Calculate the smallest common multiple of a(-6) and t.
18
Let x = -49552/11 - -4500. Suppose 5*v + 25 - 101 = -o, -133 = -3*o + 4*v. Let n = o + -32. Find the common denominator of n and x.
11
Let j = 1/2821 - 124129/14105. Suppose -2*s + 2 = 0, -4*b + s = -s + 958. Let g = b - -2421/10. Calculate the common denominator of g and j.
10
Let s = -200701/20 + 10033. Let v = 3/142 + -3079/149100. Let b = -89251/2100 + v. Find the common denominator of s and b.
20
Suppose 3*x = 4 + 8. Suppose -13 = -3*z - x. Let l(g) = 4*g - 2. What is the lowest common multiple of l(z) and 12?
60
Let c(r) = 5*r**3 - 6*r**2 + 20*r + 3. Calculate the lowest common multiple of c(3) and 1.
144
Let w = -7/2965 - -199117/195690. What is the common denominator of 25/22 and w?
66
What is the smallest common multiple of 40 and 1 - (-54)/(-12)*-6?
280
Suppose 4*h = -5*c + 269, 33 = c - 3*h - 36. Calculate the lowest common multiple of c and 54.
1026
Let q(c) = -c**2 - 12*c + 4. Let t be q(-12). Suppose 0 = -t*w + 16, -5*r - 3*w + 0 = 13. What is the common denominator of 1 + r - (-1225)/84 and -101/16?
48
Calculate the common denominator of 16/9 and (-7)/((-39270)/(-8885)) - 4/(-22).
306
What is the lowest common multiple of (-6)/4*320/(-60) and 10?
40
Suppose 0 = -3*v + 4*q + 539, 0 = -4*v - 3*q + 258 + 469. What is the lowest common multiple of 1 and v?
181
Suppose 0 = -18*q - 748 - 44. Let o be (-326)/(-24)*(-236)/170. Let n = o + 87/85. Find the common denominator of q and n.
6
Let j = 5/44 - 729/220. What is the common denominator of 107/154 and j?
770
Let w = -14133/2 - -297445/42. Let g be (-6)/(-15) - ((-402)/70 + 3). Let l = g + w. What is the common denominator of l and -37/5?
15
Suppose -2*k + 5*d + 214 + 110 = 0, 0 = 3*k - 3*d - 468. What is the lowest common multiple of 3 and k?
456
Let h = 54 + -71. Find the common denominator of 55/4 and h/4 + -27 + 30.
4
Suppose 16 = 3*z + 4. Let m = 6748 - 6736. What is the lowest common multiple of z and m?
12
Let i = -81 - -111. Let p(t) = -16*t + 1. Calculate the least common multiple of p(-2) and i.
330
Let h = -5140/7 - -732. Find the common denominator of h and -73/12.
84
Suppose 2*g - p = -6*p + 3, 2*p = -2*g + 12. What is the least common multiple of 8 and g?
72
Suppose 4*x + 2 + 11 = 3*f, -3*f + 14 = -5*x. What is the smallest common multiple of (1/f)/(7/420) and 4?
20
Suppose -3 = -12*q + 9. What is the common denominator of (-2)/q - 51/(-48) and -1/16?
16
Let w(l) = 300*l**3 + l + 2. Let j = 4 - 7. Let t be w(j). Let n = 113307/14 + t. Calculate the common denominator of n and -111/14.
14
Let k = 37 - 58. Let s = 14119/1100 + -301/25. What is the common denominator of s and (1 - (-9)/(-4))*k/(-15)?
44
Let t = 156 + -151. What is the lowest common multiple of 20 and t?
20
Calculate the least common multiple of (-36)/20*(-490)/42 and 54.
378
Let l = -393 + 417. What is the smallest common multiple of (-88)/(-14) - 2/7 and l?
24
Let s(b) = -5*b - 70. Calculate the least common multiple of 30 and s(-18).
60
Let a = 774 - 598. What is the least common multiple of 32 and a?
352
Suppose h + 19 = 3*q, -48 = 3*h - 3*q + 33. Suppose -o - 15 = 2*o, 4*i = 3*o - 73. Let v = i - h. Calculate the smallest common multiple of 11 and v.
99
Let x(h) = -h**3 - h**2 + 2*h + 14. Suppose -3*j + 64 = -j. What is the smallest common multiple of x(0) and j?
224
Suppose -4*l + 12 = -0*l. Suppose 4*s - 7 = -27, -l*k = -3*s + 9. What is the common denominator of 107/18 and 1/2 - 39/k?
72
Let y be 34/10 + (-8)/20. Suppose -r = y*r + 2*t - 98, -4*r + 113 = -t. Calculate the least common multiple of r and 3.
27
Calculate the least common multiple of (-6*2/(-4))/1 and 15.
15
Let d = 2 + 2. Let k be (-5 + 2)*-1 + d. Suppose 3*p + 32 = 4*b + k*p, 44 = 5*b + 3*p. What is the lowest common multiple of 46 and b?
230
Let s = -25487/216 + 118. Let o = s + -1847/2376. Find the common denominator of o and (308/(-55))/(-14) + (-674)/160.
176
Let r(y) = 33 + 17*y - 4*y + 8*y**3 - 9*y**2 - 5*y**2 - 7*y**3. Calculate the least common multiple of 21 and r(13).
231
Let p be -2 - ((-1774580)/116368)/(-1). Let n = 2/7273 - p. Find the common denominator of n and (2/6)/((-8)/(-438)).
4
Let d = -310030888219/76656110146 - 450/893657. Let t = 2/3899 - d. What is the common denominator of -49/18 and t?
198
Let l(x) = -10*x - 2. Let m be l(14). What is the common denominator of -43/28 and m/(-64) + (-3 - (-6 + 4))?
224
Suppose -2 = -c - 0. Suppose b + 3*b + 32 = c*h, -77 = -4*h - 5*b. What is the smallest common multiple of h and 2?
18
Calculate the common denominator of -5 + (-1089)/(-48) + -12 and -71/162.
1296
Let o(i) = -i**3 - 15*i**2 - 12*i + 32. What is the smallest common multiple of o(-14) and 22?
44
Suppose 3 - 13 = -2*u. Suppose -9 = -z - i, -u*z - 3*i = -46 - 9. Let n(w) = 2*w - 16. What is the smallest common multiple of n(9) and z?
14
Let v = -28623542/55329 + 2/18443. Let i = v - -6275/12. What is the common denominator of i and -83/8?
24
Let q be (-18)/(-12)*5*2. Let f be 1342/(-10) - 12/q. Find the common denominator of (f/(-50))/((-24)/50) and 43/6.
24
Let m = 9019/4 + -2238. Let k = -294/5 - -3863/60. Find the common denominator of k and m.
12
Let x(a) = a**3 - 5*a**2 - 5*a + 3. Let m(w) = w**2 + 4*w - 14. Let z be m(-8). Suppose 0 = -z*q - 0*q + 54. What is the lowest common multiple of x(6) and q?
9
Let a be 84/9 - (-5)/(-15). Suppose 3*t = -a - 15. What is the common denominator of ((-7)/(-36))/((-4)/t) and -31/12?
36
Let z be 12/(-10)*(-30)/9. Let j = 298 + -1501/5. What is the common denominator of (-1)/z + (-4246)/616 and j?
35
Let b = -109 + 157. Suppose k - 5*k = b. Find the common denominator of 55/4 and 315/k*6/75.
20
Let m = -4786/3 + 1576. What is the common denominator of -7/4 and m?
12
Let v be (229/(-44))/((-12)/(-4112) - 0). Let n = 1783 + v. Calculate the common denominator of 38/3 and n.
33
Let s = -3791/3 - -45619/36. What is the common denominator of -93/8 and s?
72
Let b = -382/207 - -22/23. Let d(f) = -9*f + 7. Let p be d(14). Calculate the common denominator of b and 1*(-3 - p/6).
18
Let k = -154045 - -1534893/10. Let d = k + 547. Calculate the common denominator of 77/2 and d.
10
Let y = -10 - 59. Calculate the common denominator of (y/18)/(4/(-16)) and 7/19.
57
Let f(s) = -s**3 - 35*s**2 - 14*s - 259. Calculate the lowest common multiple of f(-35) and 363.
2541
Calculate the smallest common multiple of (9 - 0)*14/3 and 3.
42
Let s be 3/18 - (-22)/12. Let k(m) = 3*m - 3 + 2*m**2 - 10*m**s + 3*m**2 - m**3 - 4. What is the least common multiple of k(-6) and 17?
187
Let j = 298591/183 - 5711/122. Let f = 1382 + 211. Let m = f - j. What is the common denominator of m and -21/8?
24
Let w(q) be the first derivative of q**2 - 14*q - 5. Suppose 0*f + 10 = f. What is the least common multiple of 12 and w(f)?
12
Suppose -341 = -3*m + 4*z - 11, 0 = -5*m + z + 550. Calculate the smallest common multiple of 33 and m.
330
Suppose 0 = -0*s + 5*s + 5. Let c be s/((44/48)/(-11)). Let g = c + -11. What is the lowest common multiple of 8 and g?
8
Let i = 20/17 - -79/34. Calculate the common denominator of 119/6 and i.
6
Let b(m) = 3*m**3 + 13*m**2 + 3*m + 2. Calculate the smallest common multiple of b(-4) and 72.
72
Let f = -5 - -11. Suppose m + 2*a - 32 = 0, 14*a - 25 = -m + 19*a. What is the smallest common multiple of f and m?
30
Let c be 0 + 0 - (-12 + 1). Suppose c*b - 12 = 8*b. Let t = 47 - 37. What is the smallest common multiple of b and t?
20
Suppose 0 = -5*v + 6*v + 3. What is the common denominator of (136/24)/(7/v) and -131/6?
42
Let w = -117 + 105. What is the common denominator of (w/(-30))/((-36)/515) and 25/54?
54
Calculate the least common multiple of (-573)/(-2