
8
Let y = -45 - -59. Let u(b) = -b**2 + 10*b - 7. Suppose -7 = -2*j + j. What is the least common multiple of u(j) and y?
14
Let w = -109 - -26. Let m = -82 - w. What is the least common multiple of m and 9?
9
Let v = 781679653/2204 + -1418659/4. Let k = 516964/29 - 17823. Let q = v + k. Calculate the common denominator of q and -77/2.
38
Calculate the lowest common multiple of 1993/12 + 70/(-840) and 11.
1826
Suppose 38*m + 141 + 601 = -246. Let c = 10481/1380 - -37/115. Calculate the common denominator of c and m.
12
Calculate the common denominator of -35/2 and (-159)/8*116/(-609).
14
Suppose -3*r + 3*u + 91 + 128 = 0, 2*r - 166 = -2*u. Calculate the lowest common multiple of r and 14.
546
Let r(t) be the third derivative of -t**5/60 + t**4/3 - t**3 + 34*t**2. Calculate the least common multiple of r(6) and 6.
6
Let p = -116/231 + -4346/2079. Calculate the common denominator of p and 59/54.
54
Calculate the smallest common multiple of (702/65)/(12/80 + 0) and 90.
360
Let l(w) = w**3 - 7*w**2 + w + 1. Let q be (-277)/(-5) + (-2)/5. Suppose -3*m = 2*m - q. What is the smallest common multiple of m and l(7)?
88
Let p(x) = 2*x**3 - 9*x**2 - 4*x + 6. What is the smallest common multiple of 11 and p(6)?
990
Suppose u - 2*d = -u + 100, u + 4*d - 70 = 0. Calculate the least common multiple of u and 9.
54
Calculate the common denominator of -27/17 and 63/9 + -2 + (-4)/22.
187
Suppose -k - 6 = 14. Let a be 28/k + 1 - -91. Let l = a - 1527/20. What is the common denominator of l and 41/12?
12
Let m be 4 + 2/(2/(-5)). What is the lowest common multiple of 24 and (m + (-2)/10)*-10?
24
Let j(r) = 3*r**2 + 24*r + 4. Let y be j(-8). Calculate the common denominator of y*1 - 238/(-140) and -81/4.
20
Let f = -218 - -1106/5. Let j = -3337/5 + 658. Calculate the common denominator of j and f.
5
Suppose 3*b = -w - 7, 5*b - 15 = -5*w - 10. Calculate the least common multiple of 25 and w.
25
Suppose 1 + 19 = -5*t. Let a = 6 - t. Let h(u) = 4*u - 2. Calculate the smallest common multiple of h(2) and a.
30
Let y = 919535/522 + -3523/2. What is the common denominator of 37/30 and y?
2610
Suppose v = -4*k + 22 + 15, -4*k = 5*v - 41. Calculate the smallest common multiple of k and 357.
1071
Suppose -3*a + 2*w - 2 = 0, -6*w + 8*w = 4*a. Calculate the smallest common multiple of 3 and a.
6
Let l be (-34)/(-10) - (-6)/10. Suppose l*j = j - 12. Let s = j + 12. What is the smallest common multiple of 12 and s?
24
Find the common denominator of 5/14 and (-5 + 184/10)/(10/25).
14
Let m(w) = w**3 - 10*w**2 + 22*w + 11. Calculate the lowest common multiple of m(7) and 27.
54
Suppose 1 = n - 1. Let a(i) be the second derivative of i**3/6 + 239*i. What is the lowest common multiple of a(n) and 2?
2
Let c = 2 - -7. Let h be (c/12)/((-5)/(-120)). What is the smallest common multiple of ((-5)/3)/((-3)/h) and 16?
80
Let c(f) = -3*f - 15. Let h be c(-5). Suppose 2*x - 17 + 15 = h. What is the least common multiple of 3 and x?
3
Suppose -4*r + 40 - 8 = 0. Let y = r - 1. Suppose -3*b + y + 23 = 0. What is the least common multiple of 12 and b?
60
Suppose -q - 128 = -4*k + 2*q, 4*q = -3*k + 121. Calculate the smallest common multiple of k and 21.
105
Calculate the common denominator of 63/104 and (29/(-32) + 1)/((-40)/(-440)).
416
Suppose -2*m - p + 53 + 69 = 0, 3*m = 4*p + 172. Calculate the least common multiple of 21 and m.
420
Let x = 920345279/204 + -4511552. Let s = -1158/17 - x. Find the common denominator of s and (117/10)/(-2 + 8).
60
Let b = 221759/70755 + -4/4717. Calculate the common denominator of 55/24 and b.
120
Suppose 0 = 5*p + 20, -3*p - 17 + 109 = u. Suppose -5*y - 24 = -u. Suppose -r + 130 - 126 = 0. Calculate the least common multiple of r and y.
16
What is the common denominator of 53/18 and (-580)/(-27)*(-42)/(-224)?
36
Let p(a) = 4*a - 6. Let u be p(1). Let l = 8249/5 - 1643. Find the common denominator of ((-82)/(-32) + u)/(4/(-88)) and l.
40
Let a be (0 - (-8)/4) + -3. Let u be (3/(-6))/(a/48). Calculate the common denominator of -39/10 and (1261/u)/13 + 2.
120
Suppose u - 21 = 4*z, 1 = u + 4*z + 4. Suppose 2*o - 2*n - 1 = 5, u = 3*o + 5*n. What is the least common multiple of o and 13/3 - (-4)/6?
15
Let t = 1118875/1584 - 7776/11. Find the common denominator of 127/24 and t.
144
Let g = 379 + -335. What is the least common multiple of 12 and g?
132
Suppose 4*t = -8, 2*t = 5*i - 16 - 13. Calculate the least common multiple of -1 + i/1 - -14 and 44.
396
Find the common denominator of (18/672)/(2/(-120)) - -3 and 47/12.
84
Let d = -3383779/6304280 - 1/46355. What is the common denominator of -37/153 and d?
1224
Let g(j) = 0 + 2*j**2 + 2*j**2 + 2 + 2*j. Let c be g(-3). What is the common denominator of c/(-88)*(-46)/(-16) and 101/12?
132
What is the common denominator of -47/18 and ((-2 + 4)/78)/(1274/(-4851))?
3042
Let h = -23803/44 - -541. Find the common denominator of h and -107/40.
440
Calculate the common denominator of -103/20 and 2/7 + (10022/3780 - 3).
540
What is the least common multiple of 2/(-6) - (-986)/6 and -20 - (-144)/12 - -28?
820
Let x = -54 + 50. Find the common denominator of (1/x)/(1685/(-830) + 2) and 37/91.
910
Suppose 28*z - 20 = 27*z. What is the smallest common multiple of z and 15?
60
Let x(d) = -50*d. What is the least common multiple of x(-1) and 5 - ((-20)/15*3 - 7)?
400
Suppose 0 = 5*d + 10, -n + 4*n - d = 2. Let v = 37 - 32. What is the least common multiple of (2 - 0) + n + 6 and v?
40
Let x = -961985/8 + 119682. Let h = 565 + x. Calculate the common denominator of h and 798/324*-3 + -1*1.
72
Find the common denominator of 0*(-3)/(-21) + (-4)/(-40) and 81/8.
40
Suppose -5*r = 4*j - 24, -3*j + 5*r = -j + 18. Calculate the lowest common multiple of 34/4 - (-9)/6 and j/(-3)*0 - -8.
40
Let o be 28/14 - (-2 + 0). Suppose 0 = -4*y + 2*y + o*d + 4, 0 = -4*y + 4*d + 24. What is the least common multiple of 22 and y?
110
Let v = -3/494 - -7193/4940. Let f = 50249/6 + -8400. What is the common denominator of v and f?
60
Let b(z) = 2*z**2 + 8*z - 11. Let m be b(-5). What is the common denominator of 9/(m + -2) + 33/16 and 7/32?
32
Let t be (36 - 33)*(-1)/((-2)/16). Find the common denominator of (-3)/(-2) - (226/t + 2) and 65/14.
84
Suppose -3*a = 2*f - 28, -f - 87*a + 12 = -86*a. Calculate the smallest common multiple of f and 48.
48
Suppose -18 = 9*h - 12*h. Let s be (12/8)/(h/92). Suppose s + 1 = 3*q. What is the smallest common multiple of q and 23?
184
Let a = -58 - -70. What is the common denominator of 101/26 and (5 - 81/15)*(-415)/a?
78
Let w = 2732 - 131153/48. Calculate the common denominator of w and -149/24.
48
Suppose 3*t + 8 = -t, -2*b = t - 6238. Let x = 358/363 + -4508077/1452. Let m = x + b. Calculate the common denominator of -31/10 and m.
20
Let r = 9 - 51/4. Find the common denominator of r and (-369)/48*(-4)/3.
4
Suppose 0 = -15*t - 13*t + 700. Calculate the smallest common multiple of t and 5.
25
Let l = 111/23 + 737/138. Find the common denominator of 18/7 and l.
42
Let c(q) be the first derivative of q**2/2 + 11*q - 32. Calculate the smallest common multiple of (-1 + 0)*(-22 - 0) and c(-9).
22
Let c be 360115/(-14)*47/(-60). Let j = -20145 + c. Find the common denominator of 3/(-15)*(-505)/10 and j.
120
Let n = 2807/4 + -698. Let k = -14/761 - -54199/9132. Calculate the common denominator of n and k.
12
Find the common denominator of 47*(7/(-294))/(-1) and 59/38.
798
Let q = 29 - 28. Let x(s) = 4*s**2 + 2*s - 2. Let h be x(q). Suppose 0 = -z + 2*v + 14, -4*z + 15 = v + h. What is the least common multiple of 16 and z?
16
Let x = 87823/1822221 + 1/8803. What is the common denominator of x and -32/207?
207
Let r = 36 - 17. Find the common denominator of (3/(-12)*r)/(4/(-5)) and 61/8.
16
Let o = -63/10 - -88/5. Let z = -23/20 - -37/30. Calculate the common denominator of o and z.
60
Let m = -435 - -448. Calculate the smallest common multiple of m and 2.
26
Let x = 612 - 438. Calculate the smallest common multiple of x and 18.
522
Let u(f) = -f**3 + 40*f**2 + 41*f + 35. What is the lowest common multiple of u(41) and 287?
1435
Let n(j) be the third derivative of j**5/15 - j**4/24 + 4*j**2. What is the smallest common multiple of 14 and n(2)?
14
Let g(c) = -c**3 + 5*c**2 - 3*c - 3. Suppose -4*y + y + 13 = -4*a, -5*a