 g(k) = k**3 + 6*k**2 + 2*k - 5. Let t be ((-5)/(-3) + -3)/(1/3). Calculate the lowest common multiple of 7 and g(t).
133
Let v = -9 - -27. Calculate the common denominator of 724/v*(-15)/(-100) and 19/30.
30
Let r be (1/(-2) - -2)/(12/32). Calculate the common denominator of -7/12 and (-6)/r*(-140)/(-162).
108
Let n(s) = s**3 + 17*s**2 - 15*s + 186. Calculate the smallest common multiple of 60 and n(-18).
660
Let y = -4835 - -43565/9. Let i = 38/355 - -1311/355. Calculate the common denominator of i and y.
45
Suppose -3*i + 7*i - 228 = 0. Let v = 66 - i. What is the least common multiple of v and 30?
90
Suppose 3*u = 2*i + 64, 12 + 16 = u - 4*i. Calculate the smallest common multiple of u and 178.
1780
Let r(f) = f**3 - 9*f**2 - 4*f. Let n be r(10). Suppose 5*w = -k + 1225, 0*k = -4*w + 3*k + 999. Calculate the common denominator of -35/2 and 3/n*w/1.
10
Let q(k) = -k**2 - 8*k - 14. Let v be q(-5). Suppose -2*t = -3 - v. What is the least common multiple of 22 and t?
22
Let o(y) be the third derivative of -7*y**6/120 + y**5/30 - y**3/6 - 6*y**2. What is the lowest common multiple of o(-1) and 22?
88
Find the common denominator of 1/(-4) + (-14)/40 and 4/(160/268) - 4.
10
Let t = -1576 + 3113/2. Let n = -316/25 - -4527/550. Find the common denominator of n and t.
22
Let i = 7588 + -68219/9. What is the common denominator of i and 31/6?
18
Let r be -142*(-1)/(-133) - (2 + -3). Let q = 7130/1197 + r. Calculate the common denominator of q and -45/2.
18
Suppose -58 = -3*v + u, -4*v + 74 = -2*u - 2. Calculate the smallest common multiple of v and 55.
220
Suppose 2*k + 140 = 9*k. Calculate the smallest common multiple of k and 26.
260
Let a = 1602 + -1590. Calculate the least common multiple of a and 360.
360
Calculate the common denominator of (-2)/(-6) + (-33)/54*1 and ((-2)/6)/(4/126).
18
Let d = -195 + 100. Let t = d + 138. Calculate the common denominator of t and 19/4.
4
Suppose 48*i + u = 47*i + 828, 2*u = -8. What is the smallest common multiple of 2 and i?
832
What is the common denominator of 22/(-99) - (-3 + (-1754)/(-936)) and -31/91?
364
Suppose 2*x - 36*q - 345 = -41*q, -2*x + 385 = -3*q. Calculate the smallest common multiple of 296 and x.
1480
Suppose -k - 1 = -2*q + 1, 0 = -2*q. Let n be (9 - 12)/((-2)/k). What is the smallest common multiple of 5 and n*(-3 + 4/(-6))?
55
Let a be (-12)/(-11)*(10 - -192). Let m = 221 - a. Calculate the common denominator of (-102)/28*(-91)/26 and m.
44
Let z = 1699 + -1688. Calculate the least common multiple of z and 38.
418
Find the common denominator of 97/958 and 163/12 - 140/56.
5748
Let x = 1549 + -3199/2. Let w = 4320558 - 60532579/14. Let o = -3200 - w. What is the common denominator of o and x?
14
Let m = 51 + -42. Calculate the smallest common multiple of 9 and m.
9
Let a = -16942 + 86057/5. Let u(m) = 67*m - 2. Let i be u(4). Let s = a - i. What is the common denominator of -38/7 and s?
35
Let v(u) = 4*u**2 + 3*u + 1. Let c be v(-1). Suppose -c*w + 9 = w. Calculate the least common multiple of w and 13.
39
Let v be ((-7)/(-2))/((-3)/6). Calculate the common denominator of -47/5 and 24/(-12) + 19/v.
35
Let b(y) = 24*y**3 - y**2 - y + 1. Suppose -8 = 7*j - 64. What is the least common multiple of j and b(1)?
184
Let m be (1 + -1)*2/(-4). Find the common denominator of ((-26)/(-21))/(12/45) and m + ((-51)/24)/(-1).
56
Let n be 1/2*(-4 - -4). Suppose n = 14*f - 15*f + 8. Calculate the lowest common multiple of ((-1)/(-2))/(1/44) and f.
88
Suppose 5*p - 68 = 6*p - 4*g, p + 2*g = -38. Calculate the common denominator of (-208)/96*(-10)/4 and -4 + (-351)/p - 3.
48
Suppose -77 = -5*u - 3*g + 32, 4*u + 4*g - 92 = 0. Let n(o) = -o - o**3 + 9*o**2 + 19 - 24*o**2 + 2*o. Calculate the least common multiple of n(-15) and u.
20
Let c = -22649/4120 + 39/824. What is the common denominator of c and 29/140?
140
Let l = -28917 - -1040911/36. Calculate the common denominator of l and -53/189.
756
Let q be 2*3/15*25. What is the common denominator of 4/q - 341/40 and 49/2?
8
Let v(o) = 3*o**2 - 3*o**2 + 2*o - 3*o**2 - o**3 - 4 + 0*o. Let b be 15/10*(-16)/6. What is the least common multiple of v(b) and 4?
4
Let n be (-3493)/590 - (-2)/5. Let f be 26/118 - (-100 + 100). Let k = f + n. What is the common denominator of 51/20 and k?
20
Let h = -777719/66 + 11783. Find the common denominator of h and 95/6.
66
Find the common denominator of 3/4 and 1/((-4)/(-72)*-94).
188
Let d = 260 - 253. What is the smallest common multiple of d and 86?
602
Let b(r) = r**2 - 1. Let q = 22629/10 + -2259. Let u = q + -1277/330. Calculate the common denominator of b(-3) and u.
33
Let r(t) = t**3 + 3*t**2 - 6*t - 6. Let w be (4 - (-20)/(-6))*-18. Let m = w - -19. Calculate the smallest common multiple of m and r(-4).
14
Let s be ((-3)/6)/(-1)*38. What is the common denominator of -2*s/16 + -3 and -61/18?
72
Let x = -50/5307 + -116342/419253. What is the common denominator of -107/10 and x?
2370
What is the common denominator of -29/66 and 86/(-24) - (-35 - -32)?
132
Suppose 0 = g + g - 2*a + 58, 2*a = -4*g - 122. Let o = 15 + g. What is the least common multiple of o/(-25) - 6/(-15) and 3?
3
Let n = 163 - 90. Let t = 103 - n. What is the smallest common multiple of t and 24?
120
Let i = -149974109/3870 - -38753. Let y = -143167/89010 - i. Calculate the common denominator of -47/7 and y.
161
Calculate the common denominator of (-7)/14 + (-1)/((-90)/348) and 1/135.
270
Suppose 8*q + 38 = -11*q. Calculate the common denominator of (-1008)/130 + q/(-52)*4 and -117/20.
20
Let y = 1 - -5. Calculate the least common multiple of (-81)/(-5) - 6/30 and y.
48
Let f(l) = -7*l**2 + l. Let x be f(-1). Let w = 114/31 - 2203/186. Calculate the common denominator of (1/(-3))/(x/234) and w.
12
Let r(o) = o**3 + o. Let l(d) = d**3 - 5*d**2 - 2*d + 4. Let y(q) = l(q) + r(q). What is the least common multiple of 22 and y(3)?
110
Let h be 30/8*56/42. Suppose h*j = 237 + 8. Suppose -3*o + j = 5*x - 0*x, -o + 4*x = -22. What is the lowest common multiple of 20 and o?
180
What is the common denominator of ((-33)/16)/(39/(-182)) and -125/12?
24
Let b = -473 + 986. What is the least common multiple of b and 21?
3591
Let q = -82325/18 + 4572. Calculate the common denominator of q and -31/5.
90
Let x = 15/121 + -327/242. Let n = 290481/2380 + 1266/595. Let h = -794/7 + n. Calculate the common denominator of x and h.
44
Suppose o = 36 - 14. Suppose 4*t = -5*c + 59, 2*t - 3*c - o = 13. Calculate the least common multiple of t and 4.
16
Let x = 21 + -18. Suppose -15 = -x*z - 6. What is the lowest common multiple of 18 and z - (0/(-2) - 1)?
36
Let x = 1556/9 - 25805/144. Find the common denominator of 71/32 and x.
32
Let u = -5317/6 - -900. Let l = -6/5 - -49/45. What is the common denominator of u and l?
18
Find the common denominator of 6/(-10) + (-215)/225 + -2 and 35/99.
99
Suppose -4*z - 119 = -n + 27, 322 = 2*n - 2*z. Calculate the smallest common multiple of 26 and n.
2158
Let z(a) = -a**3 + 8*a**2 - 12*a + 6. Calculate the lowest common multiple of 21 and z(6).
42
Let y(c) = -34*c - 17. Let n be y(-9). Suppose -3*w = 3*r - 8*w - n, -5*r - 2*w + 461 = 0. What is the common denominator of -4 + 1 + r/(-30) and -139/18?
90
Suppose -193*c + 192*c + 80 = 0. Calculate the lowest common multiple of c and 50.
400
Let n be (-6)/53526*72946/(-6). Let i = 2/2433 + n. Let o = 2111 + -12745/6. What is the common denominator of i and o?
66
Let j = 7 - 3. Let h = -2025/4 - -490. Find the common denominator of h and (-632)/(-6)*j/96.
36
Suppose 6*k - 5 = k. What is the common denominator of ((-5)/(-70))/(k/37) and 19/(-114) - 182/96?
112
Let o = 535 + -401. What is the lowest common multiple of o and 10?
670
Suppose -3*k = -2*h - 71, 7*k + h - 114 = 2*k. Let v be 907 - (4 + k/(-5)). Let c = -900 + v. Find the common denominator of -44/5 and c.
5
Let c = 47 - 45. Suppose c*p - 42 = -5*p. Calculate the lowest common multiple of 27 and p.
54
Let p = 29 + -17. Let r = 20 - p. Calculate the smallest common multiple of r and 13 + 1/(-1) - 2.
40
Let h(n) = -n**2 - 6*n - 4. Let f be h(-6). Let l be 1/(-63)*38343/f. Let r = l - 1019/7. Find the common denominator of 71/20 and r.
60
Let b = -953/8 - -2897/72. Let k = b + 79. Calculate the common denominator of 3/(-9) - (-185)/10