lculate the common denominator of a and -31/10.
10
Let a(w) = w**3 + 2*w**2 - 8*w - 4. Suppose k - 4*c = 4*k - 4, 0 = -5*k + c + 22. Calculate the least common multiple of a(k) and 6.
60
Suppose 0 = 18*c + 8*c - 156. Suppose -g = 2*h - 24, 5*g - 17 = 3*h + 64. What is the least common multiple of g and c?
18
Let j be 2/(-13) - (-412004)/(-56056). Let c be (-2)/(-8) + (-4779)/19404. Let m = j + c. Find the common denominator of m and -8/7.
14
Let u = -789 - -2348/3. Find the common denominator of u and 105/208.
624
Suppose 3*w - 11 = -2*d + 6*d, -w = -5*d. Calculate the lowest common multiple of w and 19.
95
Let g(p) = -2*p**2 + 14*p - 10. Suppose 0 = 4*z - 5*w, -2*z - 5*w + 20 = -10. Calculate the lowest common multiple of 18 and g(z).
90
Suppose 5*t + 4*y + 1 = 0, -5*y = -0*t - 4*t + 32. Suppose 5*f = m + m - 28, -2*f + 4 = t*m. What is the lowest common multiple of m and 16?
16
Let p be (-1144)/(-16) - 2/(-4). Find the common denominator of 2/(-5)*(-255)/p and -41/11.
132
Find the common denominator of -107/22 and 2/(-38)*(0 - (-77)/(-112)).
3344
Suppose 3*v = 4*i - 173, 3*i + 63*v - 161 = 59*v. Calculate the least common multiple of 7 and i.
329
Let k = -21/10 - -124/15. What is the common denominator of -37/24 and k?
24
Suppose -7*g + 4*g + 5*n = -71, 5*g - n - 111 = 0. Suppose 0 = 3*s + 93 + 105. What is the smallest common multiple of (s/4)/((-3)/4) and g?
22
Let x be ((-11114)/2452)/((-33)/(-176)). Let k = x - -9/1226. Let b = 309/7 + -697/28. Calculate the common denominator of b and k.
12
Let q be -3*(-26)/(-2)*3 - -1. Let s = q + 123. What is the smallest common multiple of s and 8?
56
Suppose 4*r + 4*g = -32, 2*r - r + 2*g = -10. What is the lowest common multiple of (r - 15/(-2))/(2/16) and 30?
60
Suppose 16062 = 3*f + 4*h, 4*f + 2*h - 10000 = 11416. Let j = f - 7592. Calculate the common denominator of 51/10 and j/(-420) - (-4)/(-10).
70
Let a(g) = g - 2. Let f be a(20). Calculate the common denominator of (-2 - (-40)/f) + 278/45 and 27/23.
115
Let m = 6720577873/24974120 + -1375745/5144. Let f = -5/971 + m. What is the common denominator of 89/18 and f?
180
Suppose 0 = -4*n + 4*u + 32, -4*n + 34*u = 37*u - 46. What is the lowest common multiple of 43 and n?
430
Let j(s) = s**3 + 2*s**2 - 8*s. Let k be j(6). What is the common denominator of (-12)/(-45)*426/16 and 338/k + (-14)/70?
120
Let r = 4440 - -254. Let x = -28235/6 + r. Calculate the common denominator of -19/4 and x.
12
What is the common denominator of 40/10 - ((-106)/(-22) + -2) and 13/99?
99
Let x = 27 + -13. Let j = 50 + -40. Suppose 59 = j*q - 61. What is the lowest common multiple of x and q?
84
Find the common denominator of ((-822)/(-1320))/(3/(-6)) - 0 and -29/55.
110
Calculate the common denominator of 56/45 and 9*1 - 67158/8580.
990
Let x(s) = -12*s - 58. Calculate the smallest common multiple of x(-9) and 26.
650
Let u be (2/(-2))/(0 - -36). Let k = u + -2/9. Let h = -6761/1122 - -101/51. What is the common denominator of h and k?
44
Suppose -7 - 5 = 3*y, 2*j - 4 = -5*y. Suppose -30*t - 72 = -33*t. What is the least common multiple of (0 + -2 + -1)/(t/(-160)) and j?
60
Suppose 3*v + 2*c - 79 = 0, 43*v - 40*v = -c + 80. Calculate the least common multiple of v and 201.
1809
Suppose -r = 2*z - 26, 10*z - 8*z - 34 = r. Suppose -4*v = 4*j - 157 + 17, -4*j = -v - 130. Calculate the smallest common multiple of z and j.
165
Suppose 222*t - 1960 = 212*t. Calculate the least common multiple of t and 112.
784
Let c = -16 + 32. Let f = -1951 + 1957. Calculate the smallest common multiple of f and c.
48
What is the common denominator of (2/15)/((-16)/(-665)) and -10/27?
216
Let g be (-78475)/(-90) - 2/(-9). Let c = 865 - g. What is the common denominator of ((-230)/20)/((-5)/3) and c?
30
Suppose 0*t - 5*p = -t + 1, -t - p = -13. Let v = 21 + -19. Let m = 5 + v. What is the least common multiple of t and m?
77
Let x(i) = i**2 - 8*i - 9. Let f = 32 - 22. Calculate the lowest common multiple of 2 and x(f).
22
Calculate the smallest common multiple of ((-46)/69)/((-2)/21) and 210.
210
Calculate the common denominator of -71/220 and (113/21)/((-10)/(-35)).
660
Suppose -6*y + 245 = 53. What is the least common multiple of y and 4?
32
Let y = 58 - 26. What is the lowest common multiple of y and -1 + 3 + -6 + 24?
160
Let g(k) = 65*k**2 + 3*k + 2. Let r be g(-1). Let q = -58 + r. What is the lowest common multiple of 12 and q?
12
Suppose 26*c + 46*c = 648. What is the lowest common multiple of c and 78?
234
Suppose 322*m = 324*m - 18. Suppose -r = -1 - 13. What is the least common multiple of r and m?
126
Let m = -1573/339 + -3/113. Calculate the common denominator of m and ((-3486)/126)/((-4)/2).
6
Let o(n) = -88*n + 1505. Suppose 2*x + 7 = 3*x. Calculate the lowest common multiple of o(17) and x.
63
Suppose 16*b = 10*b + 96. Calculate the lowest common multiple of b and 40.
80
Let d = -193 - -196. What is the smallest common multiple of d and 96?
96
Let s = 102053/306 + -5544/17. Suppose 8*n + 2862 = -n. Let i = n + 3153/10. Find the common denominator of i and s.
90
Suppose 4 = -2*o + o, 0 = -4*f - o - 24. Let h be (-1)/f*(-5000)/(-16). Let d = h - 313/6. What is the common denominator of 39 and d?
3
Let s = -1318/19 + 18685/228. What is the common denominator of 11/30 and s?
60
Suppose 4*u - h + 1 = 0, -3*u + 1 = -u + h. Let f = 19387 + -426433/22. Find the common denominator of (u - (-654)/(-20))/(-6) and f.
220
Suppose -1394 + 386 = -3*p. Suppose -2*k + p = 5*w - 3*w, -4*k - 5*w + 672 = 0. Find the common denominator of 1183/k + -1 + 0 and 19/2.
24
Let k = 14 + -12. Suppose -6*f = -k*f - 12. What is the smallest common multiple of ((-68)/(-3))/(2/f) and 10?
170
Suppose -3*w - v + 318 = -2*w, -2*v - 1254 = -4*w. What is the common denominator of (-122)/10*(w/(-66) + 5) and 48/11?
22
Suppose -8*a + 1254 = 6. What is the lowest common multiple of a and 28?
1092
Suppose -44*x + 510 = -2394. Calculate the lowest common multiple of x and 48.
528
Let d = -15 - -17. Suppose -2*z - 2*q = 3*q - 19, -4*q = -d*z - 8. Suppose 2*s - 1 = s. What is the least common multiple of s and z?
2
Let l = -91 + 101. Let q = -30 - -50. Suppose -3*n + q = -n. Calculate the least common multiple of n and l.
10
Let b be 1/(-6) + 121/(-66). Let s = 1404/23 - 18481/276. Find the common denominator of s and b - (265/10 + 1).
12
Suppose 3*n + 244 = 31*m - 26*m, m - 5*n = 40. Calculate the least common multiple of m and 400.
400
Let a be ((-2)/(-15))/(24/1545*-11). Let u = -4241/924 - a. Find the common denominator of 5/12 and u.
84
What is the common denominator of -87/2 and (175/(-15) - -4)*6/(-64)?
32
Suppose 6*i + 164 = 8*i. Calculate the smallest common multiple of 9 and -1 - 28/(-24) - i/(-12).
63
Suppose 4141 = 2*n - 5333. Let f = n + -1995. Let r = 21875/8 - f. Find the common denominator of 49/11 and r.
88
Find the common denominator of (-1)/10*(-11)/((-264)/(-316)) and -35/8.
120
Let l = -17070 - -512201/30. What is the common denominator of l and 7?
30
Let n(c) = 8*c**2 - 6*c - 17. Let b be n(-4). What is the least common multiple of 6 and (b/(-25))/((-6)/20)?
18
Let b(j) = -19*j - 7. Let h be b(-4). Suppose l - 4*l + 3*g + h = 0, -l = -3*g - 33. What is the smallest common multiple of 39 and l?
234
Let t(r) = 3*r**2 + 33*r - 70. Suppose -s + 4*s = b - 151, -s + 143 = b. Suppose -5*h + b = 35. Calculate the lowest common multiple of t(-13) and h.
88
Suppose 2*z = -3*g - z + 18, g + 2 = 3*z. Calculate the lowest common multiple of 8 and (-15)/g*64/(-12).
40
Let v(c) = c - 4. Let w be (-3)/(-18) - (-173)/6. Let t = w + -21. What is the smallest common multiple of v(t) and 4?
4
Let n(i) = -i**3 - 6*i**2 + 15*i + 2. Suppose w - 13 = -4. Let m(h) = h**3 - 9*h**2 + 2*h - 4. What is the least common multiple of m(w) and n(-8)?
70
Suppose -4*v = 2*u, 12 = 2*v - 6*v + u. Let k = v - -12. What is the smallest common multiple of 11/(-2*2/(-4)) and k?
110
Calculate the common denominator of (-3)/2*((-70)/12)/5 and -77/72.
72
Find the common denominator of 1 + (-86)/4 + (4 - 5) and ((-234)/(-80))/((-10)/(-40)).
10
Let w be (-18)/4 + (9/(-2))/(-3). Calculate the common denominator of (-2)/(-7) - (-263)/35 and (50/(-16) - w)*29.
40
Let f = 0 - 2. Let a be (-9)/(-3)*(f - -1). Find the common denominator of 3