et f(x) = 48*x - 513. Calculate the smallest common multiple of f(11) and 1135.
3405
Let u(z) = 31*z**2 + 1. Let f(p) = -p**2 - 28*p + 1644. What is the smallest common multiple of u(-1) and f(-56)?
608
Suppose -2*u = 8, -4*k + 7*u = 4*u - 660. Calculate the lowest common multiple of k and 351.
2106
Let k = -42522 + 30445759/716. Calculate the common denominator of -3 + 31/(-22) + 4 and k.
7876
Suppose 5*v - 140 = -9*v. Suppose j + 7 = -5*g + 29, 0 = 5*g - 3*j - 14. What is the lowest common multiple of v and g?
20
Let p be 170/246 + 2/(-3). Let j = 1615/656 - p. What is the common denominator of j and 16/5?
80
Suppose 28*b + 87 = 3. What is the smallest common multiple of ((-5)/b)/((-2)/(-6)) and 30?
30
Let r = 1168 - 28069/24. Suppose -3*g = f - g + 14118, 2*g = 2. Let l = 423751/30 + f. What is the common denominator of r and l?
120
Calculate the common denominator of 19/136 and 4/(-15) + 3141/18360.
136
Let g = -2225957252/1617 - -1376597. Find the common denominator of 149/1470 and g.
16170
Let j be 4*(-7)/(-2) - (-2 - -3). Let k(q) = 3*q + 1. Let a(p) = -7*p - 3. Let m(s) = j*k(s) + 6*a(s). Calculate the smallest common multiple of 2 and m(-2).
2
Let d(g) = 2*g**2 + 8*g - 4. Suppose 4*q + 54 = 5*a + 8*q, -3*a - q = -24. Calculate the least common multiple of d(-5) and a.
6
Let r be (69/(-115))/(6/(-7186)) + -2. Let z = r - 1419/2. What is the common denominator of z and 77/6?
30
Find the common denominator of 137/216 and (-372)/(-81)*(-33)/198.
648
Suppose 165 = 27*n - 78. Calculate the lowest common multiple of (10 - 2) + 12/54*n and 10/1 + (-2 - -1).
90
Suppose 0 = 8*i + 40, 5*h - 2*i - 89 - 26 = 0. Calculate the smallest common multiple of h and 1755.
12285
Suppose -j - v + 33 = 20, -79 = -4*j + 5*v. Calculate the smallest common multiple of j and 1156.
4624
Suppose 3*t - 4*t - 25 = 0. Let m be t/(-100) - 49/4. Find the common denominator of m/(-54) + 352/(-126) and 8/7.
7
Let p be 2/(-4) + (531/1066)/1. Let n = p + 27725/4797. Find the common denominator of 4/(-18) - 966/270 and n.
45
Let c = 410374291/630 + -651388. What is the common denominator of 38/33 and c?
6930
Let p = -7531 - -7532. Let o(n) be the third derivative of 11*n**6/60 - n**5/30 + n**3/6 - n**2. What is the least common multiple of 15 and o(p)?
105
Let p = -2760 - -2853. Calculate the least common multiple of 341 and p.
1023
Let o = -656269/24 + 27347. Let k = 9032833/183 - 49360. Calculate the common denominator of o and k.
1464
Suppose 4*c + 5*v - 45 = 0, -3*c - 5*v = -4*v - 31. What is the least common multiple of 30 and 12/c - 4512/(-40)?
570
Let h = 3113/306 - 36/17. Let d = -116129141/264187 + 12/37741. Let x = d - -74429/168. Calculate the common denominator of x and h.
72
Let r = 163915/504 + -16081/42. Let c = -457/9 - r. Calculate the common denominator of 301/(-49)*(-21)/(-18) and c.
24
Let n be 3*6/18*-331*2. Let y = n - -830. What is the smallest common multiple of 88 and y?
1848
Let f = -16797 - -16806. What is the smallest common multiple of 529 and f?
4761
Let f be -48*(-1 + (-2)/(-4)). Suppose o + 3*o = f. Suppose 4 = -4*t + 44. Calculate the smallest common multiple of o and t.
30
Let d = 5015 - 4250. What is the lowest common multiple of 1224 and d?
6120
Let x(v) = 13*v**2 - v - 2. Let b = -155 - -248. Let w = -77 + b. What is the lowest common multiple of x(2) and w?
48
Let x = -870/491 - -2432219/1359088. Calculate the common denominator of x and -71/3806.
30448
Suppose 6 = 46*t - 45*t - x, -x + 9 = 0. What is the lowest common multiple of t and 174?
870
Let y = 81594456420/2813 - 29006206. Let f = -7/97 + y. Find the common denominator of f and (12/(-10))/(2/7).
145
Let a be (24/9)/(6/(-36)). Let b = 6753/16 + -853/2. What is the common denominator of ((-100)/a)/(0 + (-33)/(-6)) and b?
176
Let v = -8509 - -85161/10. Let d = 4753/3 - 637115/402. Calculate the common denominator of d and v.
670
Suppose -2*h = 3*n + 3*h - 232, 133 = 2*n - h. Let x = -4733/36 + 523/4. Find the common denominator of -1 + 0 + n/4 and x.
36
Let b = -1750/5931 - -231866221/59310. Let l = 3913 - b. Find the common denominator of -121/6 and l.
30
Suppose -2*y - 3*y + 4*u = -16, 2*y - 4*u - 4 = 0. Let p be (50/(-175))/((y/(-14))/1). Calculate the common denominator of (p/3)/1 - (-13)/(-138) and -9/8.
184
Let h be (242086/(-36) - 0) + 2/9. Let m = 6719 + h. Let d = 12438 - 261118/21. Calculate the common denominator of m and d.
126
Suppose -27*g = 7*g + 129 - 503. Let k be (-1)/((2/2)/(-10)). Suppose j + k = 2*d, -j + 4 = j. What is the lowest common multiple of g and d?
66
Suppose 5*t = 4*j + 1186, -5*j - 19*t - 1501 = -16*t. Let k = -1759/6 - j. What is the common denominator of k and -25/4?
12
Let k = -852 + 4296/5. Let x = 152771/8 - 19087. Find the common denominator of k and x.
40
Let b be ((-9)/(-12))/((6/16)/1). What is the lowest common multiple of 12 and -1 - b - ((-4 - 9) + 4)?
12
Suppose 5*i = -5*r + 2220, 14*i = 10*i + 20. Calculate the smallest common multiple of r and 6.
2634
Suppose -4*f - z + 96 = 0, -5*f = -0*f + 4*z - 120. Calculate the lowest common multiple of f and 378.
1512
What is the lowest common multiple of 22 and 2/(((-13)/(-12974))/(6 - 4))?
43912
Suppose -4*t + 885 = r, 4*t - 5*r = -0*t + 855. Suppose -50 = -6*d + t. What is the least common multiple of d and 15?
45
What is the common denominator of -1 - ((-310)/(-144) + -3) and (-77)/(-10)*76/(-133)?
360
Suppose 51 = -4*x + 3*m, m + 63 = -4*x - 0*m. Let u = x + 17. Suppose -r - 44 = -3*r - u*y, -96 = -3*r + 3*y. Calculate the least common multiple of 24 and r.
216
Suppose -c - 60 = -4*c. What is the lowest common multiple of c and ((-12)/(-27))/((-1894)/(-741501))?
1740
Suppose -4*y + 16 = -4*v, -16 = 2*y - 2*v + 6*v. Suppose -18*p + 19*p = y. Suppose p = 6*a - 37 - 71. Calculate the lowest common multiple of 6 and a.
18
Let r = 449389/1195005 - 135/4193. What is the common denominator of 52/475 and r?
1425
Let w = 21971 + -175803/8. What is the common denominator of -5/8472 and w?
8472
Suppose 0 = 4*l - h + 287, -l + 4*h - 59 = 24. Let k = l - -1082/15. What is the common denominator of 2/36*(0 - (3 - 6)) and k?
30
Suppose 44 = 8*b - 84. Let w = b - 32. Calculate the least common multiple of 13*4*(-4)/w and 6.
78
Let w be (12 - 14/(-7)) + 1. Calculate the smallest common multiple of 13 and 2/3*w + 0.
130
Suppose -5*u = -5*z - 40, -2*u - u + z = -20. Let p(f) = f - 6. Let v be p(u). Suppose -8*h + 7*h + 62 = v. Calculate the least common multiple of h and 14.
434
Suppose 9*u = 12*u - 81. Let z be (-84)/(-16) - (-1)/(-4). Suppose -h + 3*m = -2, -z*h + 0*m = -2*m - 23. What is the smallest common multiple of u and h?
135
Calculate the common denominator of -151/3216 and (3/(-9))/(3 - 119/63).
16080
Let t(g) = -g**3 + 16*g**2 + 5*g - 3. Let c be t(16). Let s be c/(-28077)*2169/(-24). Let r = s + -3/191. What is the common denominator of -89/10 and r?
280
Suppose 147 = -x - 138. Suppose -162*y = -160*y + 76. Calculate the lowest common multiple of 4 and x/y + (-2)/(-4).
8
Let v = -3604 + 18042/5. Let u = 3069/920 - -9/230. Calculate the common denominator of v and u.
40
Let p = -182 + 187. Suppose q + 2 = 4*c, -9 = -2*q - 0*q - p*c. Suppose w - 4 - 4 = 0. Calculate the least common multiple of w and q.
8
Let f = 3058128509/220900 - -29249/8836. Let b = 13848 - f. What is the common denominator of b and 40504/(-54780) - (-35)/(-154)?
150
Let g be 8/(3 - 4 - -5). Suppose -h = 2*c - 5, 3*c + g*c + 3*h = 11. What is the lowest common multiple of 32 and c?
32
Calculate the common denominator of 45/346 and ((-82)/(-21))/((-20)/(-35)).
1038
Let j(r) = -7*r**3 - 5*r**2 - 200*r - 612. What is the least common multiple of 726 and j(-3)?
1452
Let c = 5537 + -326699/59. Let y = c - -218/1239. What is the common denominator of 117/70 and y?
210
Suppose 6*d = 14*d + 1952. What is the common denominator of (2 + (-9)/2)*d/400 and 91/76?
760
Let w(o) = -4*o**2 - 10*o + 92. Calculate the least common multiple of w(-6) and 65.
520
Let q = -4779 - -4785. Calculate the smallest common multiple of 930 and q.
930
Let f = 2746/105 + -198/7. What is the common denominator of (10010/950)/1 - 10 and f?
285
Let w be (-94327)/(15590*(-6)/12). Let l = 3/3118 - w. Let i = -1347 + 9462/7. What is the common denominator of 