
Let s(w) = w**3 + 41*w**2 + 144*w + 2. Suppose -4*q - 2*m + 38 = 0, -q + m = 4*m - 7. What is the least common multiple of s(-4) and q?
90
Let i = -9041/132 - -868/11. Calculate the common denominator of i and 127/54.
108
Let t(m) = -m**3 + 3*m**2 + m + 4. Calculate the smallest common multiple of 2 and t(3).
14
Let n = -88 - -88. Suppose -r + 2*r + 4*s - 19 = 0, 5*r - 5*s + 5 = n. What is the smallest common multiple of r and 25?
75
Let u = -39 - -54. Suppose 0 = -10*z + u*z - 70. What is the smallest common multiple of z and 2?
14
Let v(m) = -m**3 - m**2 + 14. Let y = 62 + -62. What is the least common multiple of 28 and v(y)?
28
Let n be ((-4)/12)/(4/(-48)). Calculate the common denominator of (-1)/((n/14)/(435/(-35))) and -27/16.
16
What is the least common multiple of 6/10 - (-5 - 187/55) and 9?
9
Suppose 2 = -4*l + 86. Suppose -24 - 5 = -4*m - 3*b, 2*b - l = -3*m. What is the least common multiple of 7 and m?
35
Calculate the common denominator of (-3)/2*435/(-360) and (-5)/36*(-39 + 0).
48
Let x be (((-18)/20)/(-3))/((-32)/3080). Let h = 29 + x. Find the common denominator of h and 89/24.
24
Let s be -1 + (-8 - -7)*(0 - -1). Find the common denominator of (s - (-22)/12)/((-24)/9) and 3/4.
16
Let m = -966 - -7282. Let x be m/560 - (-1)/(-5). Let n = 5/28 - x. Find the common denominator of 117/10 and n.
10
Let i = -3441 + 3449. Let t = -5 - -9. Calculate the lowest common multiple of i and t.
8
Let u = 117443/30052 - -3/2732. Find the common denominator of u and -13/15.
165
Let x = 4 - 2. Let w = 7115/18 + -394. What is the common denominator of x + 1/(40/(-204)) and w?
90
Let o = 6/1111 + -58913/5555. What is the common denominator of (-3)/(-5)*95/(-2) and o?
10
What is the common denominator of -179/30 and 1043/(-210) - (-6)/(-15)?
30
Let a be 4 + 4 + -4 - 4. Suppose c + 2*g - 18 = -g, -5*g = a. Calculate the lowest common multiple of c and 33.
198
Suppose -8*z + 34 = -6. What is the smallest common multiple of 7 and z?
35
Let q = -58153/19838 + 4/1417. Find the common denominator of q and -125/1104.
7728
Suppose 0 = 5*q - 1517 + 542. Suppose 0 = 5*f - q - 65. Suppose -4 = a + 5*w, -8*a + f = -3*a + w. What is the least common multiple of 1 and a?
11
Let x(g) = g**2 - 2*g**2 + 4 + 2 + g. Suppose -m + 5 = -0, 5*w - m + 5 = 0. Calculate the least common multiple of x(w) and 3.
6
Let s(n) = 5*n. Let j be s(-3). Let d = -4 - j. Calculate the least common multiple of d and 6.
66
Let c = -1135835/112 - -10141. Calculate the common denominator of 115/112 and c.
112
Let y be -8 - -7 - (-552 - 1). Calculate the common denominator of 2/6 + (-820)/y and ((-7)/5)/((-36)/45).
92
Let v = -6925249/120 - -57709. Find the common denominator of v and -65/132.
1320
Let m = 455 + -279. What is the lowest common multiple of 220 and m?
880
Let u = -401707/237948 + 267/158. Let h = u + -63769/9036. What is the common denominator of h and -83/6?
18
Find the common denominator of ((-36)/(-8))/(-10 + 4) - -6 and 47/742.
1484
Calculate the lowest common multiple of 88 and 11*((-50)/10)/(-5).
88
What is the common denominator of 45/4 and (63/(-24))/((-225)/(-30))?
20
Suppose -46*c + 29547 = 3*c. What is the least common multiple of c and 18?
1206
Suppose 7*z - 24 = -z. Calculate the lowest common multiple of z and 2.
6
Suppose -84*q = -86*q - 6, 5*a = q + 1443. What is the lowest common multiple of a and 18?
288
Let t = -2/23985 + 41257/33579. Calculate the common denominator of t and 167/42.
210
Let y = 25793 + -2347204/91. Find the common denominator of -40/143 and y.
1001
Let z = 1040 + -1028. What is the lowest common multiple of z and 4?
12
Let c = -6/53 - 487/848. Let p = -712 - -12913/18. Calculate the common denominator of c and p.
144
Let g = 2717/1032 + -1/129. Calculate the common denominator of 1/(-4) - 62/(-20) and g.
40
Let k(m) = -m**3 - 5*m**2 - 6*m + 2. Let g be k(-3). Find the common denominator of 81/10 and 18/80 + g + (-4)/(-10).
40
Suppose -5*g + 8 = -3*g. Calculate the lowest common multiple of ((-15)/(-9))/(35/462) and g.
44
Suppose 6*o - o = 30. What is the smallest common multiple of -4 + o + 2 + -1 and 5?
15
Let c = -992 - -1238. What is the smallest common multiple of 22 and c?
2706
Suppose 4*f = 4*o - 16, 2 = -4*o - 4*f - f. Let h be (o/20)/(40/(-12)). Let k = 33/100 + h. Find the common denominator of -33/7 and k.
70
What is the lowest common multiple of ((-1)/((-5)/4))/(154/385) and 38?
38
Let d(l) = -2*l**3 - 11*l**2 - 58*l - 178. What is the lowest common multiple of 0 - (1 + 0) - -21 and d(-4)?
60
Let z = 25189301/246 - 102395. What is the common denominator of z and 11/16?
1968
Suppose -m + 3*w + 15 = -15, -m - 2*w + 40 = 0. Calculate the least common multiple of m and 36.
36
Suppose 2*d + s - 4*s + 90 = 0, 20 = -5*s. What is the common denominator of (-8)/42*d/(-12) and 53/30?
210
Let s = 86/5 + -638/35. What is the common denominator of s and -63/5?
35
What is the common denominator of (-8)/20*33/2 and ((10 - 7) + -95)*3/(-32)?
40
Let w = 70 - 66. Let m(d) = d**3 + 4*d**2 + 3*d + 3. Let j be m(-3). Suppose 5*q - 42 = -j*r - 0*r, -r - 1 = 0. What is the smallest common multiple of w and q?
36
Let z = -70170415 + 45751101671/652. Let l = z + -14/163. Let m = 232319/76014 - 3/4223. Find the common denominator of m and l.
36
Let p = 1/4994 - 232229/39952. Let c(h) = 23*h + 4. Let o be c(4). Calculate the common denominator of p and (-112)/o*42/(-8).
16
Let k be (1 - 3/9)*18/4. Suppose 2*p = 2*q - k*q + 30, 2*q - 2*p = 30. What is the least common multiple of 54 and q?
540
Let a be 0 - ((2 - 4) + -1). Suppose a*s - 12 = -0*s. What is the least common multiple of s and (72/15)/(2/10)?
24
Suppose 7*x - 8*x + 11 = 0. Let u be (x/(-407))/((-8096)/627251). Let g = -2/9361 + u. What is the common denominator of 63/10 and g?
160
Let s(d) = d**2 + 21*d + 30. Calculate the smallest common multiple of s(-20) and 26.
130
Suppose 26 = -85*m + 86*m - 4*j, 5*j + 19 = -m. Calculate the smallest common multiple of m and 24.
24
Let n(q) = -q**3 + 2 - 2*q + 3*q**2 + 4*q + 0*q. Let b be n(4). Calculate the common denominator of 63/2 and (2/b)/((-24)/732).
6
Suppose 15*v - 18 = 57. Suppose -2*g + 3*r + 41 = 0, -3*r + 30 + 41 = v*g. Calculate the smallest common multiple of 28 and g.
112
Find the common denominator of (-771)/528 + -8 + 18 + -9 and -13/32.
352
Let f = 56 - 10. What is the lowest common multiple of 14 and f?
322
Let p = -79 + 96. Suppose 0 = -p*d + 14*d + 12. What is the least common multiple of d and 46?
92
Suppose -3 + 15 = -2*b. Let v(r) = r**3 + 6*r**2 - r - 3. Let y be v(b). Calculate the common denominator of 4/y - 1600/570 and -5/11.
209
Let o = 1/60016 - -352573/1260336. Find the common denominator of 25/252 and o.
504
What is the smallest common multiple of 3*-1 - (7*-12)/12 and 4?
4
Let m = -25 + 25. Suppose m = -5*s + 51 + 4. Calculate the least common multiple of 7 and s.
77
Let c = 961742170/23 + -41807537. Let j = c + -7338. Calculate the common denominator of j and 123/10.
230
Calculate the common denominator of 22*(-2)/48 - 0 and 3/(-6) + (-3726)/(-600) + -5.
300
Let f = 2883651641/40 + -72102252. Let t = 10962 + f. What is the common denominator of 93/4 and t?
40
Calculate the common denominator of (22/6)/(144/54)*-18 and 6/17.
68
Let o(k) be the third derivative of -5*k**4/12 - 15*k**2. Calculate the least common multiple of 2 and o(-1).
10
Let r(b) = -b**3 - 9*b**2 - 24*b - 82. Find the common denominator of 163/714 and r(-8).
714
Let g = 2543/50 - 59/25. Let w = 3/136 + -5/34. What is the common denominator of w and g?
8
Let j(q) = 24*q**3 + q**2 + 3*q - 1. Let t be j(-3). Let o = t + 14383/22. Let x = -22975/8 + 2866. Calculate the common denominator of o and x.
88
Suppose -39*a + 66*a - 1296 = 0. What is the least common multiple of 8 and a?
48
Let z(q) = q**2 - 4*q + 4. Let y be z(4). Suppose -3*k + 84 = y*k. What is the lowest common multiple of 30 and k?
60
Suppose -11*i = -13*i + 128. Let n = 78 + -72. What is the smallest common multiple of i and n?
192
Let g(d) = -d**3 + 6*d**2 + 4*d + 8. Let o be g(7). Let c = o - -12. Calculate the common denominator of -5/9 and 1*c/(-8)*90.
36
Let r = -2162 + 19198/9. Let a = -28 - r. What is the common denominator of a and ((-184)/(-54))/((-6)/9)?
9
Let r = -918 - -14