f + 66. Calculate the smallest common multiple of f and 9.
387
Let t(y) = 5*y**2 + 429*y + 373. Calculate the smallest common multiple of t(-85) and 88/6 + (-1)/(-3).
165
Let g = 23879/10 + -2385. Let t = -69/11 - -103/55. Calculate the common denominator of g and t.
10
Suppose 2*r + 0*r = 0, -4*k + 3*r + 6408 = 0. What is the common denominator of -93/20 and k/240 - -2*(-1)/(-10)?
40
Suppose 7*q - 12*q + b + 249 = 0, 0 = 4*q + 4*b - 180. Let a(z) = -21*z - 3. Let g be a(4). Let c = q + g. What is the common denominator of c and 25?
1
Suppose 71*l - 324 = -10*l. Suppose 15 = -5*v - 4*y, -3*y + 7 = 5*v + 22. Let o(a) = a**2 + a. What is the least common multiple of l and o(v)?
12
Let g = -151/144 - 96257/144. Let s = 2032/3 + g. Find the common denominator of 63/8 and s.
24
Suppose 0*r - 30 = -3*u - 2*r, 0 = -5*r. Let p(v) = v**3 - 10*v**2 - 12. Let d be p(u). What is the smallest common multiple of 21/((-2)/(16/d)) and 4?
28
Let j(o) = -2*o - 3. Let l be j(-3). Suppose b - 28 = l*b. Let m = 20 - b. What is the least common multiple of 12 and m?
204
Let r be (-32)/(-18) - 4/(-18). Let s be 3/r*2/1. Suppose 2*d - 19 = -s. Calculate the least common multiple of d and 6.
24
Suppose 0*d - 21 = d. Let a = -341/6 + 263/4. Find the common denominator of a and d/(-24)*(-16)/20.
60
Let l = -2201573/265 - -8308. Calculate the common denominator of l and -45/7.
1855
Let d(g) = 2*g**2 - 20*g + 10. Let h(z) = 5*z + 1. Let w be h(1). Let r(b) = b**2 - 4*b - 4. What is the lowest common multiple of d(10) and r(w)?
40
Suppose -550 = -33*n + 23*n. Suppose 79*w - n = 74*w. Calculate the least common multiple of 0 + 2 + (-1)/(-1) and w.
33
Let u = 1267 + -5105/4. Calculate the common denominator of 105/44 and u.
44
Let s = -13/43011262 - -52721093221/128453133963. Let y = s - -5/362. Find the common denominator of 47/27 and y.
297
Let n = -2410829/10 - -241299. Let d = 214 - n. Let l = -14 + 85/7. What is the common denominator of l and d?
70
Suppose -4*a = -4*o - 40, 3*a - 5 = -2*o - 0*a. Let c = o - -5. Suppose -4*w + 47 - 5 = 5*y, c = 5*y - 10. Calculate the smallest common multiple of w and 20.
40
Let z = 1538 + -16957/11. Calculate the common denominator of z and 16/(-96) + 35/66.
11
What is the common denominator of 78/22 + -4 + 4 and 7 - (36328/(-208))/(-19)?
286
Let g = -310069/606 - 825/101. Let t = g - -536. Let j(a) = 9*a - 1. Calculate the common denominator of j(3) and t.
6
Calculate the common denominator of 91/60 and 8/(-36) - 737/(-1386).
420
Suppose z - 38 = 2*i, -186 - 4 = -5*z - 4*i. Suppose 0*t + 3*q = t - z, -2*t + 5*q + 72 = 0. What is the smallest common multiple of 20 and t?
260
Suppose -3*s = 4*z + 62 + 8, -2*s - 2*z = 46. Let y = s - -44. Calculate the smallest common multiple of y and 4.
44
Suppose -374 = -728*b + 711*b. What is the smallest common multiple of 34 and b?
374
Suppose -p + 7 - 6 = 0. Calculate the common denominator of -25/16 and (0 + (-98)/5)/((-8)/p).
80
Let p = -1067 + 1075. Suppose 2*h - 28 = -5*j, 3*j - h = -3*h + 20. Suppose 85 = j*q + 13. Calculate the least common multiple of p and q.
72
Let g(w) = w - 13. Calculate the lowest common multiple of 82 and g(21).
328
Let h = 40329/8 - 5029. Find the common denominator of (-57)/(-36) + (0 - 0) and h.
24
Find the common denominator of -73/21 and ((-2)/50)/((48/(-235))/(-8)).
210
Let s(v) = -v**2 + 16*v + 19. Let d be s(17). Suppose 0 = d*i + 12. Calculate the common denominator of (i - -3)*2/(-20) and 8/7.
70
What is the common denominator of -87/2 and 3/(-222)*79 - (2 + -2)?
74
Let a = 35 - 19. Suppose -8*r + 16 = -4*r. Suppose -2*g - 2*k + 55 = 3*k, r*k = 12. Calculate the lowest common multiple of a and g.
80
Calculate the common denominator of -77/18 and (-6 + ((-382)/(-36) - -1))*-1.
18
Let j(k) = k**2 - 4*k + 5. Let z be j(2). What is the common denominator of (z/25)/((-36)/(-7470)) and 8?
10
Let m be 196/(-12) - 5/15. Let n = m - -562/33. Calculate the common denominator of (52/(-10))/(11/5) and n.
11
Let a = -18 - -13. Calculate the common denominator of 2 + -1 + 6 + a and -39/11.
11
Calculate the lowest common multiple of 12 and ((-132)/(-110))/((-11)/(-5) - 2).
12
Let d = 297 + -2089/7. Let o be 0 + 2 + 63696/(-31847). Let n = o - -3152873/318470. Calculate the common denominator of n and d.
70
Let i be 0 + -14 + -1 + 9/9. Let d = i + 19. Calculate the least common multiple of d and 8.
40
Suppose 2*u = 3*w - 5, 4*w + 0 = -u + 14. Let m be 3/((u - 3) + 2). Calculate the least common multiple of m/(-3 - 0) + 3 and 8.
8
Let k = -91 + 19. Let t be (12/(-8))/3*k. What is the common denominator of 33/14 and (3 + (-107)/t)*2?
126
Let p(u) = 4*u**2 - 8. Suppose 5*s + b - 44 = 0, s = -b - 2*b + 20. Calculate the smallest common multiple of s and p(-3).
56
Let k = 1066 - 10651/10. Let v(d) = -565*d - 4. Let i be v(2). Calculate the common denominator of k and (-4)/(-18) + 6165/i.
70
What is the common denominator of 173/240 and (-159)/(-40) - (14 + (7 - 17))?
240
Let p(f) be the first derivative of 8*f**4 + f**3/3 + f**2 + f - 7. Let r be p(-1). Let s = -30 - r. What is the lowest common multiple of 8 and s?
8
Suppose -86 + 30 = -j. Let i be j/(-21)*(-6)/4. Calculate the common denominator of 20/3 and 2 - i - 192/(-27).
9
Let n be (2 + 108/(-30))*15/6. Suppose v - 128 = -3*v. Calculate the common denominator of 30 and 138*n/v*-1.
4
Let a be 2/3*2736/(-12). What is the common denominator of a/6 - -3 - 0 and -69/10?
30
Let y = 2204 + -24218/11. Let v = 19/16 - -47/48. Calculate the common denominator of v and y.
66
Let k = -3759 - -22633/6. Calculate the common denominator of 46 and k.
6
Let c be -1 + 2035562/308 + 6/(-33). Let q = c + -6600. Calculate the common denominator of q and 2*(0 + 41/(-12)).
42
Let a = -60 - -64. Calculate the lowest common multiple of 6 and (-6)/a + (-1)/(-2) + 2.
6
Let d = 12 + -2. Suppose 0 = -o + 5*t + 44 + 7, -3*t - 15 = 0. Calculate the smallest common multiple of o and d.
130
Let l = 1097/17 - 283843/4420. Calculate the common denominator of l and 91/45.
2340
Suppose 0 = -5*n - 0*n + 325. Calculate the lowest common multiple of (-4)/26 - (-400)/n and 33.
66
Suppose 3*l + 616 = 7*l. What is the least common multiple of 3 and l?
462
Let k = 0 - -5. Suppose 5*p + 25 = k*m - 0*m, 4*m - 20 = 3*p. Suppose -m*u - 53 + 123 = 0. What is the least common multiple of u and 20?
140
Suppose -r + 2*r = 5*n - 2, -3*r = 4*n + 6. Suppose n = 2*l - 14 - 62. What is the least common multiple of 6 and l?
114
Calculate the common denominator of 77/218 and (-2178)/1740 - (-9)/45.
6322
Let k = 381 - 309. Calculate the least common multiple of k and 56.
504
Let z(i) = -i + 6. Let g(b) = 15*b - 85. Let h(k) = -6*g(k) - 85*z(k). Find the common denominator of h(-4) and 7/3.
3
Calculate the lowest common multiple of (30/(-42) - -1)*49 and 80.
560
Suppose 4*y + 74 = 9*y + p, 40 = 2*y + 3*p. What is the lowest common multiple of y and 20?
140
Let q = 25199/8 + -3162. Calculate the common denominator of -53/184 and q.
184
Let p be 8/(-20)*(0 - -30). Let u be (p/(-30))/((-2)/60). Let a = u + 16. What is the lowest common multiple of 18 and a?
36
Suppose 3*k - 2*p - 24 = 0, -3*k + 17 = 2*p + 5. What is the smallest common multiple of 6*(1 - 4/(-3)) and k?
42
Let r(m) = 0*m + 60 - 11*m + 4*m - 5*m. What is the smallest common multiple of r(4) and 134/6 + 1/(-3)?
132
Calculate the common denominator of 101/36 and 2604/224*(-1)/(-6).
144
Let z(k) = -24*k**3 - 4*k**2 + 3*k + 5. Let j be z(4). Let p = -28355/18 - j. What is the common denominator of -23/2 and p?
18
Let n be ((-1446168)/(-16))/(6/4). Let j = n - 4218061/70. What is the common denominator of j and ((-1)/20)/(14/(-3535))?
280
Let z(h) = -2*h**2 + h - 1. Let o be z(1). Let a be (-30)/o - (3 - 0). Let k = a - 0. Calculate the lowest common multiple of k and 26.
156
Suppose 222 = 1120*n - 1117*n. Calculate the smallest common multiple of 34 and n.
1258
Let c be (-158)/(-8) + ((-10)/(-8))/5. What is the least common multiple of c/(-3)*(-6)/5 and 5?
40
What is the common denominator of 23/6 and (-22 - 0)/((-496)/(-62))?
12
What is the common denominator of 874/40 - 72/720 and -19/58?
116
Suppose -116 + 278 = 27*z. Calculate the least common multiple of 22 and z.
66
Suppose -2*a - 4 = 3*n, 0*a = -n - a - 2. Suppo