d the common denominator of 1/(-3) + (-364)/456 and (27/(-198))/((-1)/x).
418
Suppose -3 = 3*z, -19 = 2*f + 2*z - 35. Calculate the lowest common multiple of 2500 and f.
22500
Let v = 73078 + -73062. Suppose -40 = -2*s - 0*s. Calculate the lowest common multiple of v and s.
80
Let t(r) = -908*r - 263. Calculate the lowest common multiple of 9 and t(-6).
46665
Calculate the lowest common multiple of (-14)/(-91) + (-1940)/(-65) and 22 - 5/((-20)/(-8)).
60
Let p = -1429 - -1847. What is the least common multiple of p and 2090?
2090
Calculate the least common multiple of 10 and ((-6)/9)/(7/2716)*(-3)/4.
970
Suppose -28*t - 9 = -29*t. Suppose t*g - 189 = -0. Calculate the smallest common multiple of 12 and g.
84
Suppose -5*r - 20 = 2*f, 32*f - 33*f = 2*r + 9. Calculate the least common multiple of 22 and (3/(-5))/(r/240).
792
Let n = -3068/51 - -3127/102. Let i = -5 - -7. What is the common denominator of (-122)/(-6) + (-1)/i and n?
6
Let s = -5119/210 - -388/21. Suppose -c + 251 = -a, -18*c = -22*c + a + 1001. Find the common denominator of c/96*(-2)/3 and s.
360
Let p(u) = -u**2 - 6*u + 26. Let h be p(-9). Let r be -5*15/(-4 - h). Suppose -5*z = r, 2*z - 16 = -3*s + 52. What is the lowest common multiple of s and 12?
156
Suppose -693 - 1179 = -78*o. Let w(n) = -n**2 - 11*n + 12. Let p be w(-9). Let h = p - 16. Calculate the least common multiple of h and o.
168
Suppose 0 = -m + 2*c + 13, -4*m + 2*m = c - 1. Suppose 0 = -8*i + m*i + 10. Suppose 0 = i*k - 5*k + 6. Calculate the least common multiple of k and 7.
14
Suppose 4*v = x - 36, v + x + 28 = 6*x. Suppose 0 = -57*m + 33*m + 1728. Calculate the least common multiple of 48 and (v/24)/((-2)/m).
48
What is the smallest common multiple of 500 and (-1419129)/(-1290) - (-2)/(-20)?
5500
Let i = 6972 - 6753. Calculate the lowest common multiple of 949 and i.
2847
Let c(j) = 10*j**2 - 20*j - 78. Let t = 5 + -3. Let q = 4 - t. What is the least common multiple of c(4) and q?
2
Let h(o) = -o**3 - 7*o**2 - 11*o - 18. Suppose -c - 2*c + 24 = -3*j, -2*j - 18 = -3*c. Calculate the smallest common multiple of h(j) and 28.
84
Suppose 5*l + 4*i - 61 = 0, 2*l + i = -2*l + 40. Calculate the common denominator of l/(-6)*-2 + 670/(-700) and 91/12.
420
Suppose -10 + 0 = -2*w. Suppose 0 = -4*x + 5*h + 4, w*x - 15 - 7 = 2*h. Let s = 23944 + -23923. Calculate the smallest common multiple of s and x.
42
Suppose 0 = 53*r - 55*r - 0 + 10. Let s(g) = g**2 - 11*g - 6. What is the smallest common multiple of s(12) and r?
30
Suppose 4*f + 4*q - 32 = 0, -q = -5*q. Suppose 26 = 32*r - 19*r. Calculate the smallest common multiple of r and f.
8
Suppose -j - 2*s + 12 = 0, -11*j = -7*j + 9*s - 45. What is the least common multiple of j and 342?
342
Let h(w) be the third derivative of 0 + 0*w + 25/6*w**3 - 35*w**2 + 1/8*w**4 - 1/60*w**5. What is the least common multiple of h(6) and 10?
70
Let j = -157/168 + 1571/21. Let q = 2077/24 - j. Calculate the common denominator of -1/162 and q.
162
Let g be ((-258)/(-1))/((-270)/(-732)). Suppose -v - 4*c - 683 = 0, -3*v - 2101 = c - 2*c. Let u = v + g. Calculate the common denominator of u and -131/12.
60
Let w(k) = -1810 + k**3 - k + 12*k**2 - 11*k**2 - 2*k**3. Let f be w(0). What is the common denominator of (-10)/(-65) - -2*f/(-468) and -34/27?
27
Let l be (3 + 267/(-99))*(3 + 18174). Let o = l - 5512. Calculate the common denominator of 31/23 and o.
253
Suppose 5*t - 4*p + 185 = -67, -228 = 5*t + 4*p. Calculate the common denominator of -63/22 and (-3 - -7) + 0 - (-363)/t.
176
Suppose f = -s + 33, -5*f - 3*s = -f - 129. Suppose 0 = 9*r - 8*r + 198. Let a = 201 + r. What is the smallest common multiple of f and a?
30
Let m = 5006/323955 + -13/626. Calculate the common denominator of m and -83/966.
14490
Let u = -29790094 - -15490965. Let y = u + 314350901/22. Let n = 10448 + y. What is the common denominator of n and 5/48?
528
Let d(g) = -95*g - 7178. Calculate the smallest common multiple of d(-77) and 2.
274
Let n(h) = h**3 - 8*h**2 - 10*h + 11. Let u be 9 + (-20)/5 + -1. Suppose 0 = -5*z, -2*z + z + 44 = u*g. What is the smallest common multiple of g and n(9)?
22
Suppose 0 = -27*l + 22*l + 30. Suppose -x + 24 = -4*m, -x + 2*m - l = -5*x. Suppose 75 - 27 = x*y. Calculate the lowest common multiple of 20 and y.
60
Suppose -m - 40 = 4*z - 36, -12 = -2*m - 3*z. Let y(b) = b**2. Calculate the smallest common multiple of y(4) and m.
48
Suppose -4*a = t - 55, 4*t - 231 = 3*a - 30. Let i be (2/(-432))/(t/(-162582)). Let m = i + -4/459. What is the common denominator of -107/28 and m?
28
Suppose -3*w + 317 = 4*q, 2*q - 44*w = -40*w + 142. Calculate the least common multiple of 198 and q.
1386
What is the common denominator of ((-1395)/60)/31 + (-26)/(-4) and 1/203?
812
Let a(g) = -g**3 + 5*g**2 - 2*g + 6. What is the least common multiple of a(4) and (4/5)/(24/90*105/350)?
70
Let k = 2775 - 2741. Calculate the lowest common multiple of 116 and k.
1972
Suppose -78*x + 3352 = -17396. What is the lowest common multiple of 5 and x?
1330
Let q = 3070/11 + -295171/1056. Let c = -482/9 - -253/18. What is the common denominator of c and q?
96
Let c be 144/(-96)*(-3 - -1). Calculate the common denominator of c/6 + 402/(-484) and -56/11.
121
Suppose -38*u + 41*u - 129 = 0. Let s = u + -30. What is the least common multiple of 6 and s?
78
Let o(a) = -a**3 - 35*a**2 + 30*a + 26. Let x be o(-36). What is the common denominator of 59/21 and 19/(456/16)*x/(-16)?
84
Suppose 34*a + 9*a + 1501302 = 0. Let u = a - -1676009/48. Find the common denominator of u and 41/56.
336
Find the common denominator of (28/2016)/(12/(-5364)) and 25/78.
312
Suppose 4*t = -2*h + t + 8, 0 = 2*h + 2*t - 12. Let f = -110 - -180. Calculate the least common multiple of f and h.
70
Let c = 4 + -1. Suppose -q + 162 = 3*f - c*q, 0 = -f - 3*q + 65. Let x = f + -33. What is the least common multiple of x and 7?
161
Suppose 11 = -3*h - 7. Let a = h - -9. Calculate the least common multiple of 10 and ((-1)/(-1) - (-12)/a) + -3.
10
Let u = -2 - -8. Let m be 112/32 - (-1)/2. Suppose -m*q + 13*q - 54 = 0. Calculate the smallest common multiple of u and q.
6
Find the common denominator of ((-220)/28)/(156/(-14)) and -93*(-30)/(-336) + (-9)/(-21) - -3.
312
Let s = -13992 - -14002. What is the smallest common multiple of 609 and s?
6090
Let m(t) = -23*t**2 + 12*t - 25. Let c be m(-4). Find the common denominator of 4/(-18)*1127/c and 11/15.
405
Let n(w) = -w**3 + 6*w**2 - 8*w + 51. Let g be n(6). Calculate the lowest common multiple of 4 and 40/(g/((-15)/(-10))).
20
Suppose 41*z + 82*z - 1754 - 952 = 0. Let t = 127 - -45. What is the smallest common multiple of t and z?
1892
Suppose 4*t = -20, -2*n - 1093 = t - 6400. Calculate the lowest common multiple of n and 92.
61088
Let a = 1787026 + -6175961773/3456. Find the common denominator of -29/320 and a.
17280
Suppose 3*b + 80 = -2*b. Let g = -162143/32 - -5067. Find the common denominator of g and 26/b - 15/10.
32
Let x(s) = s + 11. Let o be x(-8). Suppose 3*l + o*p = 24, 4*p + 22 = l + 4. What is the least common multiple of (-28)/140 - 1326/(-630) - 2/(-21) and l?
10
Let g = 207 + -203. Let y be -2 - (303*-2 + -2). Find the common denominator of y/g*(-4)/168 and 83/20.
140
Suppose 107 = -8*g + 683. Let d = -60 + g. What is the lowest common multiple of d and 96?
96
Let t be 9790/88 + (-3)/(-4). Let d = t + -25. What is the lowest common multiple of d and 45?
1305
What is the common denominator of -61/16 and (-3)/27 - 1711/(-55332)?
848
Let n be (-10)/(3 + (-46)/14). Suppose 6*z - n = 37. Suppose -11*l = -9*l - 60. What is the smallest common multiple of l and z?
60
Let h = -399 - -408. Find the common denominator of 1982/(-720) + (h - (-830)/(-90)) and -109/88.
440
Let l be (-25)/(-30) + (-30441)/19530. Let f = l + 99/62. What is the common denominator of f and 103/50?
350
Let o(l) be the first derivative of 2*l**2 + 33*l + 8. Let g be o(-10). Let q = g - -17. Calculate the smallest common multiple of 12 and q.
60
Suppose -14 = -4*n - 2*r + 3*r, 0 = -4*n + 4*r + 20. Let s be (1*(-2 + n))/((-3)/(-123)). Calculate the common denominator of s/((1 - -1 - 8) + -1) and -59/9.
63
Let m = 52613/18 + -2916. Let k be (-4 - ((-324)/16)/9)*20. Find the common denominator of m and 11/(-20) - (k/(-7) - 1