multiple of b and 4.
28
Let o = -15 + 35. Calculate the common denominator of 38/(-12) - (-10)/o and 32.
3
Suppose 367*s - 107*s = -782 + 4682. Let f(d) = -18*d - 3. What is the smallest common multiple of s and f(-2)?
165
Let g = 11 - 17. Let f(w) = -w**3 - 7*w**2 - 8*w - 11. What is the least common multiple of f(g) and 8?
8
What is the common denominator of (-30)/12 + 23/(-42) and -31/9?
63
Let j = 1/80346 + 151773583/883806. Let w = j + -170. Let u = 2448/11 + -23721/110. Calculate the common denominator of w and u.
110
Let s = -1022761/84 + 12175. Find the common denominator of s and 79/98.
588
Let j be (-2)/5 + (-14)/(-35). Suppose 0 = -j*l - 4*l + 60. What is the common denominator of 21/4 and 124/(-24) + (-10)/l?
12
Let o be 1*4 + (-16 - 6). Calculate the common denominator of (62/o)/((-1)/(-2)) and 170/(-16) - (-4)/8.
72
Let r = -12/119 - -10477/5950. Calculate the common denominator of r and -27/35.
350
What is the least common multiple of 468 and (-3726)/(-63) - 42/(-49)?
2340
Suppose -3*m - 13 = -2*f - 0*f, 7 = -5*m - 4*f. Let q(t) = -t**2 - t + 3. Let r be q(m). Calculate the smallest common multiple of ((-2)/5)/(r/120) and 10.
80
Let t = 467/4 + -2547/20. What is the common denominator of -12/11 and t?
55
Let w = 314 + -282. Calculate the smallest common multiple of w and 48.
96
Let v be 2/(-8)*0 + -27. What is the least common multiple of v/(-3) - (-4 + 3) and 4?
20
Let v = -817 - -887. What is the least common multiple of 168 and v?
840
Let n(c) = c**2 + 2*c. Let a be n(-2). Suppose a = 9*z - 4*z - 50. Calculate the lowest common multiple of z and (-82)/(-5) + (-8)/20.
80
Suppose -4*o + 52 + 48 = 0. Suppose 0 = -6*x + o + 107. Calculate the lowest common multiple of x and 20.
220
Let h = 20 - 8. Let a = 144 - 134. Calculate the lowest common multiple of a and (h/(-9))/(4/(-6)).
10
Let g be 2718/(-5) - (-8)/(-20). Let r be 38/171 - g/(-18). Let h = -24 - r. Calculate the smallest common multiple of h and 6.
6
Let s = -35494/72667 + -2/1483. What is the common denominator of 47/42 and s?
294
Let k = -233/1261 + 21377549/2264756. Let o = k + -2/449. Find the common denominator of -40/9 and o.
36
What is the lowest common multiple of 3 and 2*(5 - 3) - -2*276?
1668
Suppose 0 = -10*u + 694 - 154. Suppose -4*y + 57 + 6 = -5*h, -18 = -2*y - 2*h. What is the smallest common multiple of u and y?
108
Let s = 302 + -188. Find the common denominator of 11/38 and ((-12)/(-96))/(4/s).
304
Suppose 32*b - 270 - 114 = 0. Suppose 2*i = 4*w + 72, 4*i + 2*w - 90 = 2*i. What is the lowest common multiple of b and i?
84
Let s(y) = 619*y + 2. Let l be s(4). Let o = -19889/8 + l. Calculate the common denominator of 3 - 2/(-27)*-147 and o.
72
Suppose -8*q + 4*q + 28 = 0. Let i be 9/15*20/4. Suppose y - 25 = -4*y - 5*x, -4*x = -i*y - 13. Calculate the lowest common multiple of y and q.
7
Let f = -1751/88 - -168/11. Calculate the common denominator of f and 21*(-2)/(-24)*-14.
8
Let t(w) = w**3 + w**2 - w + 2. Let p be t(-2). Let r(c) = c**3 + c**2 - c - 56. Let n be r(p). What is the common denominator of (-4)/(n/(-67)) + 3 and -5/4?
28
Suppose 2*g = -0*g + 20. Let q(u) = -u**2 + 10*u + 6. Let l be q(g). What is the common denominator of ((-3)/15)/(l/10) and -85/2?
6
Let y(v) = 52*v. Let t be y(-1). Let b(u) = -7*u**2 - u - 4. Let h be b(-2). Let x = h - t. Calculate the lowest common multiple of x and 16.
176
Let b(m) = -m**3 - 4*m**2 + m - 3. Let v be b(-5). Let y = v - 10. Calculate the smallest common multiple of 12 and y.
84
Suppose 3*v - 714 = 2*w, -5*v + 2*w + 1056 + 134 = 0. Calculate the smallest common multiple of v and 12.
1428
Let w be -2 - ((-2634760)/252 + -5). Let a = -10458 + w. What is the common denominator of a and 103/30?
630
Let u(r) = -11*r - 212. Calculate the smallest common multiple of 357 and u(-22).
3570
Suppose 2*r - 4*h - 1126 = 330, 5*r - 3684 = -h. Let i = 2921/4 - r. Find the common denominator of 0 + (-25)/(-17) + -1 and i.
68
Let n = 13301/88 + -1554/11. Let c(r) = r**2 - 7*r + 2. Let k be c(8). What is the common denominator of n and (4/k)/((-32)/(-680))?
8
Let p(g) = -g + 2. Let j be p(0). Let s(b) = -17*b**3 + b**2. What is the common denominator of s(-1) and 3 - (j - (-172)/20)?
5
Suppose 20 = -6*j + j. What is the least common multiple of j/(-10) - 46/(-10) and 9?
45
Calculate the common denominator of ((-1)/6)/((224/68)/14) and 57/22.
264
Let f be (-12)/(-18) + 4/3. Suppose 4 - 32 = -f*c. Let l = 3 + 9. Calculate the least common multiple of c and l.
84
Suppose 14 = 3*d - 10. What is the lowest common multiple of (-2)/d + 180/16 and 2?
22
Let f be -1 + ((-11)/(-11) - (-10259)/(-2820)). Let c = f - 326/141. Find the common denominator of c and -7/2.
20
Let q = 30553/117639 - 2/4357. Calculate the common denominator of q and ((-6)/96)/(3/(-532)).
108
Let m(i) = -i**3 + 11*i**2 + 14*i - 2. Suppose 3*t + 87 - 33 = 5*v, -5*t + 46 = 3*v. Calculate the smallest common multiple of m(v) and 10.
110
Let i = -6276 - -19094/3. Let p = -1703/21 + i. Let w = 1753/12 - 148. What is the common denominator of w and p?
84
Let h = -19284/13 + 192877/130. What is the common denominator of h and 9/338?
1690
Let r = 2/4285 + -171442/89985. Let p = -6444 + 58070/9. Calculate the common denominator of p and r.
63
Let y = 9468413/140 - 67631. Find the common denominator of y and 125/12.
420
Let y be ((-22)/(-3))/((-2)/(-21)). Let p = -50 + y. Calculate the least common multiple of 12 and p.
108
Calculate the smallest common multiple of (-1 - (-2)/3)*-309 and 1.
103
Suppose -7*w = -6*w - 12. What is the lowest common multiple of w and 14?
84
Suppose 0 = -0*u + 15*u + 255. Calculate the common denominator of ((-280)/(-6))/(-11 - u) and -39/5.
45
Let g(m) = m**2 + 22*m + 56. Let t be g(-19). What is the common denominator of 113/36 and (-16786)/(-264)*((-22)/(-21) + t)?
36
Let g(m) = 2*m**2 - 5*m + 6. Let p = -5 + 11. Let n be g(p). What is the common denominator of -4 - ((-380)/n + -4) and 51/22?
132
Calculate the lowest common multiple of 130 and 8 - 320/(-6 - 4).
520
Let f be (-2464 + -3)*(-6)/(-10). Let z = -1889 + 3358. Let a = z + f. What is the common denominator of -23/15 and a?
15
Let p = -1124081/2841630 + -12/8611. Calculate the common denominator of 19/330 and p.
330
What is the lowest common multiple of (-3)/((-72)/8)*480/2 and 70?
560
Suppose 3*w - 4*p + p - 6 = 0, 3*w + 3*p - 18 = 0. Suppose 5*k + 31 = 6. Calculate the common denominator of w and 3/k - (-140)/250.
25
Let p(l) = 2 - 11*l - 2 + 1 + 2. Calculate the lowest common multiple of 14 and p(-3).
252
Suppose -3 = -3*v + 4*w + 7, 4*w - 32 = -4*v. What is the smallest common multiple of 24 and v?
24
Calculate the lowest common multiple of -4*(-130)/13*(-142)/(-8) and 20.
1420
Let q be 168*(1 + 4/(-12)). Suppose -2*g - 3*g = 4*d - q, -4*g + 88 = 4*d. What is the least common multiple of 40 and g?
120
Let g = 116 + 163. What is the least common multiple of g and 31?
279
Let n = -1009 - -1017. Calculate the least common multiple of 20 and n.
40
Calculate the common denominator of -5 + (6907/450 - 10) and 11/10.
450
Let f be 0 - 7/((-97909)/(-2)). Let t = -1049033/55948 - f. What is the common denominator of -7 - -6 - (-82)/24 and t?
12
Let z = 2574577/22365 + -13/2485. Let i = -7417/63 + z. Calculate the common denominator of i and 47/33.
231
Let o be (1/(-3))/((-5)/60). Let f(b) = b**3 - 3*b**2 - 3*b + 3. Suppose 4*i - 15 - 1 = -4*w, i + 2 = w. Calculate the lowest common multiple of i and f(o).
7
Suppose -2*g = -6*g - 40. Let b be 6/g - 20461/2415. Let w = b + -35/46. What is the common denominator of w and -65/4?
12
Suppose 3*f + 2*f - 330 = 0. Let a be (8/12)/((-4)/f). Let v = a + 14. What is the lowest common multiple of v and 7?
21
Let w(o) = o**3 + 6*o**2 - 39*o + 18. Calculate the smallest common multiple of 188 and w(-10).
376
What is the common denominator of 454/24 - (-1)/4 and 18/(-16)*(-44)/(-132)?
24
Suppose 2*t - 1 = 5, 2*t = -2*d - 88. What is the common denominator of d and -115/162?
162
Suppose 8*j - 4*j = 224. What is the common denominator of (2/(-7))/((-32)/j) and ((-2145)/36)/(-13) + -2?
12
Suppose 1 = -p, 0 = -2*l + 5*p - 4*p - 31. Let q = -190/31 + 2039/186. Find the common denominator of ((-27)/90)/(l/230) and q.
48
Suppose -5*o = -3*k + 66, -2*k =