1/4 - -31705. Find the common denominator of h and z.
4
Let j(n) = 8*n + 97. Let i be j(-4). Find the common denominator of ((-182)/i + 3)*890/(-96) and 41/6.
48
Let s be -251*5/(115/574). Let l = -6262 - s. Find the common denominator of 135/(-108)*1992/(-300) and l.
230
Let s be ((-468)/14)/(26/182). Let u = -180 - s. What is the smallest common multiple of 9 and u?
54
Calculate the common denominator of (500/6)/((-1377 + 9)*(0 - 1)) and 107/3192.
28728
What is the least common multiple of ((-650)/(-78))/((-5)/(-9)) and 1704?
8520
Let x be (-1 - 12)/(3/(-3)). Suppose 186 = 5*i + 31. Let r = i - x. What is the lowest common multiple of 27 and r?
54
Let o be (-4684)/(-26)*70/8. Suppose 0 = 3*y - 3*k + 4731, 2*k = 4*y + 2120 + 4180. Let u = y + o. What is the common denominator of u and 16/11?
286
Let i be (-1 - 17)/(30/328). Let n = -1553/10 - i. Find the common denominator of 2 + 194/12 + 0 and n.
6
Let u = 164006594 - 351302133983/2142. Let m = -2/1071 + u. Find the common denominator of m and -115/42.
42
Find the common denominator of -43/360 and 89/16*(7270/270 + -27).
1080
Find the common denominator of ((-25960)/(-4250) - 19) + 13 and -31/75.
1275
Let q be (-5132)/16*14*-2. Let t = q + -89713/10. What is the common denominator of 97/2*1/(-3) and t?
30
Let o = -58/103 - 6669/412. Suppose -b = -10*b + 27. Find the common denominator of (b/4)/(81/696) and o.
36
Let d = -9604/3 - -3216. What is the common denominator of d and -14/453?
453
Let w = 1072207/96 + -11169. Find the common denominator of -103/96 and w.
96
Suppose 0*i - 2*i + 2*h = -1516, 5*i - h - 3778 = 0. Calculate the common denominator of -24/5 and (-1 - i/30) + 5.
30
Let y(v) = -42*v**3 + 3*v**2 - 3*v + 97. Let s be y(14). Let i = s + 75180953/656. Find the common denominator of i and 95/16.
656
Let q be (24056/(-108))/((-4672)/(-12)). Let y = q - -132/73. Calculate the common denominator of -97/8 and y.
72
Calculate the common denominator of -7/6 and (0 - (-27)/4665)*(-210)/28.
1866
What is the lowest common multiple of 2 and (-17 - (-175)/10) + (-1293)/(-6)?
216
Let g = -67 - -70. Suppose -2*k = 2*u - 14, -u = -5*k - g*u + 47. Calculate the smallest common multiple of k and 5.
55
Let h(t) = -326*t**2 - t - 13. Let z be (0 - (-62)/(-15)) + (-6)/(-45). Let x be h(z). What is the common denominator of -77/148 and (x/(-90))/(-11) - 3?
1332
Suppose -122 = -4*k - 2*c, 0 + 3 = -3*c. Suppose 5*f - k = 119. Suppose 2*h = 3*h - f. Calculate the lowest common multiple of 18 and h.
90
Let k be 387/10*((-11)/3 + 5). Let v = k - 1403/30. Find the common denominator of (-24)/(-60) - (-1066)/(-140) and v.
42
Calculate the common denominator of (-2888)/(-1064)*7/(-34) and 61/92.
1564
Suppose -4*r + 5*z + 883 - 252 = 0, 482 = 3*r + 5*z. Calculate the common denominator of (r/66)/((-3)/6) and ((-3)/(-3))/(12/(-52)).
33
Let p = 19026 - 8031. Let j = -296933/27 + p. Calculate the common denominator of j and (-2)/1*(-3417)/2448.
216
Let h = 20063669/159 + -126187. Calculate the common denominator of h and -59/6.
318
Let v = -1/247 - -12106/741. Calculate the common denominator of ((-4)/44)/((-2)/(-76)) and v.
33
Let m = 3 + 6. Let a = 13697 + -13605. Calculate the lowest common multiple of a and m.
828
Let l = 16295 + -12793. Calculate the least common multiple of 1442 and l.
24514
Let r(s) = -s**2 + 7*s. Let w be r(8). Let g = w - -103. Calculate the common denominator of 26/21 and ((-2)/(-15))/(275/g + -3).
105
Let q(v) = 3*v + 4. Let i be q(-2). Let l be ((-1707)/12)/((-15)/i). Let u = 1579/80 + l. Find the common denominator of u and 14/27.
432
Suppose 0 = -4*g + 40 + 8. Suppose -4*h = 11*k - 10*k + 1, -2*h = -6. What is the smallest common multiple of (k/(-91) + (-127)/7)*-8 and g?
144
Let r = 2439/2 - 1175. Let a = 6/4175 + -30901/4175. Find the common denominator of a and r.
10
Suppose -57*p + 67*p = 140. Let f(m) = -10*m - 2. Let r(s) = -20*s - 5. Let y(a) = -14*f(a) + 6*r(a). What is the smallest common multiple of y(4) and p?
546
Calculate the common denominator of 5 + -3 - (-9386025)/(-4688316) and 31/22.
554532
Let q = -34 + 42. Let f be (-6)/q - (-188)/16. Suppose f*k - 2 = 10*k. What is the smallest common multiple of k and 7?
14
Let k = -36307 + 36310. Suppose 20 = 4*u + q, -4*u + q + 13 = -15. Calculate the smallest common multiple of u and k.
6
Let w(d) = d**3 - 2*d + 1. Suppose 7*o + 20 = 9*o. Suppose -4*p + o = -3*p. Calculate the lowest common multiple of w(2) and p.
10
Let b(v) = v**3 - 10*v**2 + 6*v - 3. Let c be b(4). Let h = c - -135. Calculate the common denominator of -3/20 and (-1)/2*715*(-2)/h.
60
Let c = -1189/3 - -19748/51. Let m = -8571/748 - c. Calculate the common denominator of m and 107/12.
132
Suppose -a - 2*z = -32, 3*z = 4*a + 1 - 74. Let p be 2730/31108 - 4/a. Let v = p + 3715/303. What is the common denominator of 19/8 and v?
24
Let x = -133852 - -120065183/897. Calculate the common denominator of x and 14/1495.
4485
What is the common denominator of 5/324 and 350/(-2275) + 1730/936 + 1?
324
Suppose 483 = 10*a - 3*a. Suppose -y = -8 - 3. Calculate the smallest common multiple of y and ((-92)/a)/((-1)/9).
132
Calculate the common denominator of 113/100 and 75/(-2240)*4*(-272)/12.
700
Suppose -895 + 1165 = 27*c. Let t(d) = 2*d**2 - 3*d**2 - 6*d - 5 + 8. What is the least common multiple of c and t(-5)?
40
Suppose -24 = -8*w + 4*w. Let z(s) = -2*s**2 - 3*s + 11. What is the least common multiple of w and z(-3)?
6
Let o(w) = w**2 + 7*w + 9. Let m be o(-6). Suppose r = m*r - 264. Suppose 3*q - r = -q. Calculate the least common multiple of 15 and q.
165
Let z be 78/8 + 14/56. What is the common denominator of 355/(-40)*8/z and -29/380?
380
Let p = 604 + -1059. What is the common denominator of -65/2 and 167/130 - (p/(-26))/35?
130
Let g(a) = a**2 - 28*a - 626. What is the least common multiple of g(44) and 63?
1638
Let o be (-3 - -5)/(1 + 1). Suppose -y - 63 = -5*k, -4*k - 9 + o = 0. Let c = y - -81. What is the lowest common multiple of c and 334?
1336
Suppose 0 = 60829*f - 60895*f + 14652. What is the lowest common multiple of (-1 - 3)*(-15)/12 and f?
1110
Let n = 1/7487 + 306947/149740. What is the common denominator of n and 63 + -55 - 100/32?
40
Let n(t) = 4*t**3 - 5*t**2 + 15*t + 10. Let v be n(-8). Find the common denominator of 53/18 and -4*1 - v/558.
558
Find the common denominator of 169/660 and (-2)/8 + (-20)/((-12000)/515).
1320
Find the common denominator of -99/112 and (-44)/6*(-855)/(-12768).
112
Let d = 77/2490 + -33/83. Suppose -3*a = -0*s - 2*s + 4, -3*a - 9 = -3*s. Find the common denominator of d and 1 - (-114)/(-27) - a.
90
Let x(z) = -68*z**2 - 4. Let m be x(-2). Let w be (m/15)/(3/15). Let q = 112 + w. Calculate the least common multiple of q and 4.
20
Let i = -3114277/104 + 29944. Let h = 139329/18584 + -284/2323. Find the common denominator of i and h.
104
Let i(b) = -2*b**2 - 123*b - 31. Calculate the least common multiple of i(-61) and 852.
4260
Let n = 1611 + -1500. Calculate the lowest common multiple of 2109 and n.
2109
Let a(l) = 4*l**2 - 36*l - 39. Let v be a(12). Calculate the least common multiple of 10353/v - (-6)/15 and 99.
99
Let d(u) = -6*u - 19. Let z be d(-4). Suppose 12 = 2*g - 4*n, n - 2 = 2*g - z. Suppose g = -3*o + 66 - 6. Calculate the smallest common multiple of o and 38.
380
Suppose 0*o - o - 18 = -2*n, 3*o - 2*n + 62 = 0. Let g(f) = -f**3 - 21*f**2 + 16*f + 63. Calculate the lowest common multiple of g(o) and 18.
1170
Let c = -2/9391 - -8893281/18782. Let a = -3321/7 + c. Calculate the common denominator of a and 7/164.
1148
Let y = 533887 + -533593. Suppose -z = -5*v + z + 78, -4*z + 12 = 2*v. Calculate the smallest common multiple of y and v.
294
Let s(k) = -38*k + 75. Let a be s(-12). Let i = -2968 - a. Let r = i + 73519/21. What is the common denominator of r and 103/24?
168
Let f = 8 - -2. Let c = 10 + -8. Suppose 21 = w - 3*o + 5*o, 0 = -c*o - 6. Calculate the lowest common multiple of w and f.
270
Let n be (-2)/((-7)/903*3). Suppose -5 + n = 9*j. What is the lowest common multiple of 12 and j?
36
Let l(u) = -21*u + 7. Let z be l(0). Suppose 3 = -x + z. What is the lowest common multiple of 4 and x?
4
Let y(k) = 7*k**2 - 12*k + 2. Let g be y(2). Suppose 77517 = -g*q - 324819. Let r = q - -5901009/88. Wha