alculate the common denominator of 13/30 and (-6)/15*(-1265)/132.
30
Suppose w + 92 = k, -48*k = -47*k + 2*w - 86. What is the lowest common multiple of 30 and k?
90
Let s = 83659/7010 - 24/701. Let x(c) = c**2 + 29*c + 56. Let a be x(-27). Find the common denominator of 2/a + 54/(-32) and s.
80
Calculate the common denominator of 1 - 69/21 - -1 and (3 + -2)*708/(-120).
70
Let a(q) = 2*q**2 - 6*q - 7. Let h be a(4). Let t be 2 - h/(20/48972). Let z = -2459 - t. What is the common denominator of z and 47/6?
30
Suppose 19*n - 436 = 324. What is the lowest common multiple of 208 and n?
1040
Suppose 5631 = b - g + 3*g, 4*g = b - 5661. Let q = b - 124035/22. Let w = -4678 - -65431/14. Find the common denominator of w and q.
154
Calculate the common denominator of -67/154 and (-2)/(-1) - (556/66 + -4).
462
Suppose 0 = 4*u - 131 - 273. Let x(n) = -5*n + 61. Calculate the smallest common multiple of x(12) and u.
101
Let j(h) = 19007*h**3 + h. Let u be j(1). Let d be 3 + -1462*39/u. Let q = -24547/15840 - d. What is the common denominator of -31/20 and q?
20
Suppose -312 = -7*o + o. Let l = o + -43. What is the smallest common multiple of 4 and l?
36
Let k = -496 - -7937/16. What is the common denominator of k and 69/2?
16
Let o(n) = 5*n. Suppose 0*u + 5*u = 5. Let s be o(u). Suppose -s*f + 29 = -11. What is the smallest common multiple of f and 16?
16
Suppose 0 = 2*z + 2*z - 20. Suppose -8 + 23 = z*m. What is the common denominator of -2 - m*(-196)/(-36) and 137/6?
6
Let g = -6218/5 - -223483/180. Calculate the common denominator of g and 77/24.
72
Let p = 0 + 5. Let a = 58 + -50. Calculate the least common multiple of p and a.
40
Suppose 31*f - 28 = 24*f. Calculate the smallest common multiple of f and 36.
36
Let i(u) = -u**3 + u. Let k(z) = 5*z**3 + 14*z**2 - 20*z + 28. Let q(t) = 6*i(t) + k(t). Calculate the lowest common multiple of q(13) and 6.
30
Let h = -2/355 + 10391/17040. Calculate the common denominator of h and 3/32.
96
Calculate the common denominator of (-140)/624 + -4 + 38/8 and 59/18.
234
Suppose 48*g - 58*g = -1760. What is the lowest common multiple of g and 176?
176
Suppose 13*q = 9*q + 92. Let c = -10 - -13. What is the lowest common multiple of c and q?
69
What is the lowest common multiple of (-16)/6*210/(-56) and 2/(-8)*14*-2?
70
Let t = -117792 + 23558343/200. Find the common denominator of 61/440 and t.
2200
Suppose 5*z + 2*b + 592 = 0, -b + 119 + 5 = -z. Calculate the common denominator of 17/20 and 1/(1/2) + 411/z.
40
Suppose -m + 5*n = 59 - 23, 65 = -2*m + 3*n. Let p = 37 + m. Calculate the least common multiple of 18 and p.
18
Let r = 65 + -45. Let v = 26 - r. What is the smallest common multiple of v and 6?
6
Suppose -y + 6 = -0*y. Let a = 5 + -26. Let j = a - -33. What is the smallest common multiple of y and j?
12
Let i = 1320 + -1317. Suppose -2*a + 2 = -2. What is the smallest common multiple of i and a?
6
Let n(b) = b**2 - 4*b - 6. Let p be n(-4). Find the common denominator of -71/8 and (-11 + 10)*(-97)/p.
104
Suppose 2 + 3 = v. Let i(a) = 10*a + 1. Suppose -6*c + 4 = -2*c. What is the lowest common multiple of v and i(c)?
55
Let g = 21 + -19. Suppose -49 + 41 = -2*s. What is the least common multiple of s and -2 - -2*(g - -4)?
20
Let o(f) = 4*f**2 - 131*f - 60. Calculate the least common multiple of o(34) and 18.
990
Suppose 2*l + l = 5*t - 38, -4*t + l = -36. Let i = -90047/10 + 9015. What is the common denominator of i and (-191)/(-21) - t/15?
70
Let z be (-921)/(-21) - 5/(-35). Suppose 0*w = -2*w + 5*l + 11, 0 = 3*w - 2*l - z. What is the smallest common multiple of 14 and w?
126
Suppose -14*x = -107 - 145. What is the least common multiple of x and 33?
198
Let w be (-3977)/(-870) - 8/24. Let z = -112/29 - w. Calculate the common denominator of z and 2 + ((-114)/(-16) - 2).
40
Let x(j) = -1278*j**2. Suppose 13*i = 12*i + 2. Let m be x(i). Let u = m + 45944/9. What is the common denominator of u and -51/4?
36
Suppose 5*c - 2*r + 98 = 3*c, -164 = 4*c + 4*r. Let w = 74 - 8. Calculate the lowest common multiple of 16 and 120/c*w/(-8).
176
Let v = 5168 + -108505/21. Find the common denominator of 97/24 and v.
168
What is the common denominator of (-11619)/1008 + 11 + 0 and 93/4?
112
Suppose -4*w + 1 = -31. Calculate the lowest common multiple of 96 and w.
96
Let h = -14868065/249 - -59711. Calculate the common denominator of -55/8 and h.
1992
Let v = 13139422 - 183849153/14. Let p = 7343 - v. Calculate the common denominator of -35/32 and p.
224
Let n = 25 - 23. Suppose -n*z + 100 = -0*z. Suppose 0*y + z = 5*y + 2*u, 3*y - 4*u = 4. Calculate the lowest common multiple of 4 and y.
8
Calculate the lowest common multiple of 60/120*(-16)/(-1) and 3.
24
Let w be 14/(-63) + -169*(-2)/(-18). Let l = 26 + w. What is the least common multiple of 17 and l?
119
Suppose -4*a = 22*r - 27*r - 55, 2*a - 20 = 4*r. Let w = 26 + -2. What is the lowest common multiple of w and a?
120
Let u(h) be the second derivative of -h**3/3 - 3*h**2 - 9*h. What is the lowest common multiple of u(-9) and 10?
60
Suppose 0 = 22*u - 2066 - 5920. Calculate the lowest common multiple of u and 330.
3630
Find the common denominator of 7/20 and (-2 - (-16)/5)*(-7540)/832.
40
Let m(s) = s**3 - 20*s**2 + 22*s - 51. Calculate the smallest common multiple of 9 and m(19).
18
Let f(o) be the first derivative of o**3/3 - 7*o**2/2 + 5*o + 1. Let d be 22/3 + (-2)/6. What is the smallest common multiple of 5 and f(d)?
5
Suppose -h - 2*p - 13 = -7, h + 3*p = -10. Calculate the lowest common multiple of 283 and h.
566
Suppose -4*d + 139 + 257 = 0. What is the least common multiple of d and 121?
1089
Suppose -y = 5*h + 56, y + 2*h - h = -40. Let a be (50/(-15))/((-2)/y). What is the common denominator of 19/2 and 1106/a - 2/5?
6
Suppose 23*g = 19*g + 28. Suppose -2*i = -g*i - 230. What is the common denominator of i and 17/11?
11
Let u = 729873/1778 + -821/2. Let p = -17762/8001 - u. Find the common denominator of p and 4/9.
9
Let t = 329797/33 + -9995. What is the common denominator of 11/21 and t?
231
Let r = 592/9 - 1798/27. Find the common denominator of r and -46/33.
297
Suppose 3 = 3*w - 0. Suppose k + v = 1, -5*v - 35 = -13*k + 10*k. What is the lowest common multiple of k and w - (-4 + 2 + 2)?
5
Let b = 94 + -67. What is the smallest common multiple of b and 75?
675
Let s be -2 - 6/(-7)*(-1 - -8). Suppose -3*k + 6 = -s*l + 24, 0 = 3*l - 4*k - 17. Calculate the smallest common multiple of 9 and l.
9
Let v = -13190399/220 + 59956. Find the common denominator of v and -139/198.
1980
Let a(u) = -u**3 + 11*u**2 + 2*u - 16. Calculate the smallest common multiple of a(11) and 20.
60
Let p(i) = -i**3 - 5*i**2 + 6*i + 8. Let h be p(-6). Suppose h = j + j. Let v = -880 + 888. Calculate the lowest common multiple of v and j.
8
Let q be 6 + -3*6/9. Suppose 2*s - 27 = -2*v - 7, v - 5*s - q = 0. What is the lowest common multiple of v and (-12)/(-126) + 246/63?
36
Let y(g) = -8*g + 18. Let c be y(2). Suppose 0*n - 3*q = 2*n - 13, n + q - 6 = 0. Calculate the lowest common multiple of -22*(n/c)/(-5) and 1.
11
What is the common denominator of (-2)/48*3625/350 and -115/196?
2352
Let j = 2028346/2577 - -204/859. Let a be 1/((-42)/32885) + 2. Let p = a + j. Find the common denominator of p and 57/2.
14
Let x(r) = -r**2 + 12*r - 13. Let q be x(9). Let s be 49/q*(3 - 1). Suppose 5*p + 18 = s*p. Calculate the lowest common multiple of p and 2.
18
Calculate the common denominator of 3 - (-267)/12 - 0 and 51/(-34) + (-182)/(-48).
24
Suppose 0 = 5*m + 5*r + 40, -m - 4*m = r + 36. Let q be 0 + 0 + 12 + 2. Let w = q + m. What is the lowest common multiple of 1 and w?
7
Calculate the least common multiple of 5 and -2*(-15)/(-6) + (17 - 1).
55
Let a be ((-66)/60)/(-1 + (-1983)/(-1985)). Let v = a + -1117. Let d = -1154 - -23177/20. What is the common denominator of v and d?
20
Let d = -745285581/212674 - 5/15191. Let n = d + 18906/7. Let b = 780 + n. Find the common denominator of b and -85/14.
14
Find the common denominator of 1/66*-73 - 20/30 and 39/136.
1496
Let m(w) = -w**2 - 5*w - 3. Let f be m(-4). Calculate the common denominator of (-267)/(-48) + 1/2 and (25/90)/f*(-114)/4.
48
Let h(v) = -16*v**3 - v - 13. What is the smallest common multiple of 10 and h(-3)?
2110
Let l = 2 - 