
44
Let f(u) = 11*u + 32. Let k be f(-3). What is the common denominator of 71/6 and -5 + (2 - k/(-22))?
66
Let g be (-6376)/47760 - (-1)/(-20)*-2. Let m = g + 20798/14925. Calculate the common denominator of m and 37/55.
275
Suppose 12*o = 14*o + 6. Let p(c) = -c + 2. Suppose 25*t = 16*t + 90. What is the least common multiple of p(o) and t?
10
What is the smallest common multiple of (-11 - 190/(-15))/((-5)/(-36)) and 72?
72
Let r = -19224 + 1364884/71. Calculate the common denominator of -38/3763 and r.
3763
Let j(z) = 15*z**2 + 4*z - 1. Let t = -13485 + 13499. What is the lowest common multiple of t and j(-3)?
854
Suppose -2*i - 5*t = -0*i - 8393, -5*i + 3*t + 21091 = 0. What is the lowest common multiple of 18 and i?
37926
Suppose -69*g - 1833 = -3*u - 66*g, 1216 = 2*u + 4*g. Calculate the lowest common multiple of u and 671.
6710
Suppose j + 381 = 2*z - 741, -2*z = j - 1122. What is the least common multiple of z and 33?
561
Suppose -3*d + 42 = -4*a - 117, 0 = 4*d - 3*a - 219. Let j = d + -50. Suppose 17 = 4*y - j. What is the lowest common multiple of y and 1?
6
Let a(u) = -2*u**2 - 5*u + 4. Let b be a(-4). Find the common denominator of 134/(-67)*17/b and (-46)/(-8) + 0 - 2.
4
Let j(a) be the third derivative of -a**4 - 17*a**3/3 - 9*a**2 + 11. Calculate the least common multiple of j(-18) and 9.
3582
Suppose 0 = -2*o + 7*o + 3*r + 5, 5*r = -4*o - 17. Suppose o*a = 5*x - 92, -5*a = -5*x - 2*a + 93. Calculate the least common multiple of x and 24.
72
Let t be (210/(-175))/((-2)/10). What is the lowest common multiple of 0 + ((-3)/t)/(2/(-48)) and 108?
108
Suppose -10*u = -4*p - 8*u + 92, u - 84 = -3*p. Calculate the smallest common multiple of 502 and p.
6526
Let b = 309 - 270. Let j = -25 + b. Let t(f) = -2*f**3 - 5*f**2 - 2*f + 1. What is the smallest common multiple of j and t(-3)?
112
Let b = 82 - 23. Let s = 181 - 121. Let v = s - b. Calculate the lowest common multiple of v and 8.
8
Let u be (-12555)/(-63) - ((-5)/7 + 1). Suppose -u = -3*p - 103. Calculate the least common multiple of 2 and p.
32
Suppose 0 = -114*g + 19*g + 37620. Calculate the lowest common multiple of 12 and g.
396
Let n(k) = -6*k - 3. Let g(r) = r**3 + 10*r**2 + 2*r + 67. Let b be g(-10). Suppose -7*d + b + 37 = 0. What is the smallest common multiple of n(-6) and d?
132
Let k = -2038 - -81407/40. Suppose 3 - 13 = 5*l. Find the common denominator of k and (666/24)/((-27)/l).
360
Suppose 4*q = -5*v + 23, 3*v = -55*q + 53*q + 13. Calculate the least common multiple of q and 298.
298
Let c be 52210/17028 + -5*(-4)/(-10). Let p = c - 5/473. Find the common denominator of p and -47/38.
342
Let l = 1 + 7. Let q(j) = 14*j**2 - 69*j + 64. What is the lowest common multiple of q(4) and l?
24
Let r = 222 - 231. Let y(v) = 10*v + 93. Calculate the smallest common multiple of y(r) and 9.
9
Suppose 3*u - 8*u - 3595 = 5*q, 0 = -u + 5*q - 725. Calculate the common denominator of (-518)/u - -4*8/(-80) and 13/12.
72
Find the common denominator of 92/105 and (1254/220)/((-261)/(-4)).
3045
Suppose 0*c - 3*c - 69840 = 0. Let j = c - -12846. Let w = -156448/15 - j. What is the common denominator of -113/12 and w?
60
Let p be (2 + 15)*-46 - 4. Let x = -15709/20 - p. Find the common denominator of x and (-2)/7 + (-1 - 5257/(-1078)).
220
Calculate the common denominator of 65/12 and 238/68 + (-2414)/744.
372
What is the common denominator of (-5)/105*618*(-7)/20 and 47/124?
620
Calculate the least common multiple of 7998 and 53 + (-1)/(5/40*8)*-1.
71982
Let y = -2/1411 + -4069/115702. Let x be 115/(-23) + 2*100341/28. Let h = x - 7167. What is the common denominator of h and y?
574
Suppose 5*k - 565 = -2*m, 72*k - 76*k + 872 = 3*m. What is the smallest common multiple of m and 2?
300
Let c = 132 + -90. Let s = 2116 - 2126. Calculate the least common multiple of s + c + -2 + 2 and 12.
96
What is the smallest common multiple of (1 - 2)*2 - -16 and 11/(-1) + 135/9?
28
Let c = -1562/6565 - 49/101. Let q = 440/5411 - 19848317/1406860. Let n = q + c. Calculate the common denominator of n and -81/4.
4
Suppose -626*g - 251*g + 560925 = -46*g. What is the least common multiple of 5625 and g?
16875
Calculate the common denominator of (-6)/(-4)*(-75)/(-6) and ((-2)/156)/(12/((-43920)/(-30))).
156
Suppose 4 + 0 = 4*i + 4*c, i - c = -3. Calculate the common denominator of (1/(14 - i))/(170/(-840)) and 21/8.
680
Let n = -45 + 111. Suppose 11*b = -142*b + 2754. What is the least common multiple of b and n?
198
What is the common denominator of -27/56 and (-108)/21 + (2/2 - 1)/(-1)?
56
Let f be (-8 - -8) + -3 + -1. Calculate the common denominator of 4 + (f - (-585)/(-140)) and -9/4.
28
Suppose 63 = 62*b - 53*b. What is the least common multiple of 301 and b?
301
Let g be 13/((-312)/(-3459)) + (-2)/16. Suppose -g = 36*k - 40*k. Calculate the smallest common multiple of k and 9.
36
Find the common denominator of 5/256 and 308/(-588)*27/(-192).
1792
What is the common denominator of 126/(-160) + -1 - (280 + -282) and (4 - 5) + (-111)/(-16)?
80
Let x = 88298/39 + -2264. Find the common denominator of -34/39 and x.
39
Let g(p) = p + 46. Let m be g(7). Suppose -2*z + 105 = c, -240 = -4*z + 5*c - 37. Let l = m - z. What is the least common multiple of 12 and l?
12
Let r = -58 - -62. Find the common denominator of 6/r*4/60*37 and -79/16.
80
Let x(f) = -21*f**2 + 420*f + 6. Calculate the least common multiple of 334 and x(20).
1002
Let q = -16428 + 328647/20. What is the common denominator of q and 5 - (-628)/200 - 54/6?
100
Calculate the common denominator of -15/2 and 888/50658*39/312.
16886
Calculate the common denominator of -30 - 279220/(-9240) - (-1 - (-10)/6) and -1/902.
6314
Calculate the common denominator of (-6)/60*(-177)/9 and 12664/(-5280) - -2 - (-20)/110.
60
Let v(f) = f**2 - 1. Suppose -12*b - 4060 = -35*b - 35*b. What is the least common multiple of v(2) and b?
210
Let b(f) = f**2 - 350*f + 48. Calculate the lowest common multiple of b(0) and 780.
3120
Let u(f) be the first derivative of -f**4/4 + f**3 - f - 5. Let o = 516 + -489. Calculate the smallest common multiple of u(2) and o.
27
Let k = 9672 - 9550. What is the least common multiple of k and 9?
1098
Let i = -1041 - -573. Let d = -453 - i. What is the smallest common multiple of d and 30?
30
Let b(w) = -5*w**2 + 64*w + 241. Let c(h) = -h**2 + 16*h + 60. Let a(g) = 2*b(g) - 9*c(g). Calculate the smallest common multiple of a(-6) and 12.
12
Let j(w) = w**3 + 3*w**2 + 3*w - 4. Let v be j(2). Calculate the common denominator of (-304)/90 + (-4)/18 and (-94)/9*v/44.
45
What is the common denominator of -2 + 17 - 693563/46035 and -61/135?
1485
Let s = 21191 + -21177. What is the smallest common multiple of 422 and s?
2954
Let d be (-1)/(2/(-4) + 0). Suppose d*m + 14 = 4*m. Calculate the lowest common multiple of m and -1 + 8 - (-3 + 6).
28
Calculate the common denominator of (0 - -2) + (-151156)/78568 and -81/38.
16226
Let n(u) = -u**3 + 10*u**2 - 17*u + 10. Let f be n(8). Let r be (f/3)/((-16)/24). Let v = 23 + r. What is the lowest common multiple of v and 6?
66
Let h(q) = -35*q**2 - 2*q - 22. Let j be h(9). Find the common denominator of (-2)/6 + j/1200 and -7/54.
432
What is the common denominator of ((-8)/(-6))/((-15264)/1392) and -74/159?
477
What is the common denominator of (-2)/(-28)*5217/7755 and 199/630?
6930
Suppose 5*t - 9*t + 60 = 0. Suppose 3*f - t = -q, -f = -2*q + 18 + 5. Calculate the smallest common multiple of 20 + (-4)/(-3*(-10)/45) and q.
84
Find the common denominator of (12 + -30)/((-7)/(252/(-320))) and (-608)/60*(-1)/(-12).
360
Let y(t) = -14*t**3 + 17*t**2 + 56*t + 3. Let r be y(-15). Let i = r - 1808441/36. What is the common denominator of i and 3/(-54)*230/(-4)?
36
Let t(h) = h**3 - 13*h**2 + 2*h + 22. Let s be t(13). What is the smallest common multiple of 24 and 388/13 + (s/(-104))/(-3)?
120
Suppose -30 = 1729*a - 1731*a. Suppose -487*h = -490*h + a. What is the least common multiple of (-1)/1 - 1*-8 and h?
35
Let t(g) = -g**2 - 23*g - 144. Let c be t(-23). What is the lowest common multiple of 162 and ((-10)/(29 + 1))/(2/c)?
648
Let g be 21/19*26/30. Let u = g - 6863/1710. What is the common denominator of u and (-345)/144 + 9/((-81)/(-48)) + -5?
144
Let i = -190 + 268. Let l = i - 59. What is the smalle