4*l**2 - 2. Let v be h(-4). Let o = 3 + v. Calculate the lowest common multiple of -37 - (17 + -71) - 5/((-10)/4) and o.
19
Let p be (144/21)/(20/610). Let k = 2263/14 - p. What is the common denominator of k and 46/7?
14
Suppose 6*h = 3*f + h - 320, 218 = 2*f - h. Calculate the smallest common multiple of f and 242.
1210
Suppose -z = -3*o - 15, -7*z + 59 = -4*z - 2*o. Suppose 5*c + z*c - 1274 = 0. What is the smallest common multiple of c and 168?
1176
Let f be (6637/44)/(-8 - 4298/(-537)). Let i = -40500 + f. What is the common denominator of -19/24 and i?
264
Let d(z) = -2*z**3 - z**2 + 2*z + 1. Let m be d(1). Suppose -4*r + 438 = 3*b, m*r - 5*r + 5*b + 565 = 0. What is the smallest common multiple of 15 and r?
555
Let x = -48 - -51. Suppose -3*a - 4*m = 7, -x*m = -m - 4. What is the common denominator of (-40868)/2040 - (1 + 6/a) and 119/12?
12
Let k = 2866/91 - 324/13. Find the common denominator of k and 152/836 - (-419)/(-66).
42
Let x = 2360 + -2344. What is the smallest common multiple of x and 246?
1968
Let v(s) = -6*s**2 + 53*s + 13. Calculate the smallest common multiple of v(9) and 56.
56
Let v(m) = m**2 + 14*m + 44. Let f be v(-10). Suppose f*a = -a + 30. Calculate the smallest common multiple of 37 and a.
222
What is the common denominator of -31/306 and (37/1258)/(6*9/132)?
306
Let t(l) = 3*l**3 + 44*l**2 - 89*l - 4. Calculate the lowest common multiple of 2 and t(-16).
396
Suppose 932*o - 168 = 918*o. Let m = -210 + 303. Suppose m = q + k, 2*k - k = -2*q + 185. Calculate the smallest common multiple of o and q.
276
Let p = -20 + 8. Let y = -24 + 57. What is the least common multiple of (126/p)/(2/(-4)) and y?
231
Suppose -5*t + f + 40 = 0, -5*t + 5*f + 40 = -20. Suppose 54 = -t*p - 23. Calculate the smallest common multiple of 16 and 69 - p - (-5 - -1).
336
Let b(u) = -3*u - 29. Let w be b(-13). Suppose -o - 22 = -3*p - 9, 2*p = o + w. What is the smallest common multiple of 22*(-3)/(-18)*9 and p?
33
Find the common denominator of -15/44 and 2*(2 - ((-258)/(-96) + -3)).
88
Let u(g) = -3*g**3 - 2*g**2 + 30*g + 65. What is the least common multiple of 160 and u(-5)?
480
Let m(i) = -i**3 - 103 + 16*i**2 + 258 - 109 - 31*i. What is the lowest common multiple of 48 and m(14)?
48
Let o = -224/27 - -2963/432. Let d = 466570195/794 + -587620. Calculate the common denominator of d and o.
6352
Suppose -5*c - l + 438 = 0, 7*l = 11*l - 12. Calculate the smallest common multiple of 4 and c.
348
Let p(s) = -s**2 + 4*s. Let n be p(2). Suppose 0 = 5*c + 15, -n*q + 22 = -3*q - 5*c. Let i = -3709 - -3714. Calculate the least common multiple of q and i.
35
Suppose -5*y + 313 = -v, -4*y + 254 = 893*v - 892*v. Let k(t) = t**3 + 10*t**2 + t - 2. What is the lowest common multiple of y and k(-9)?
630
Suppose 12*y - 17*y + 75 = 0. What is the lowest common multiple of y and 6/(-2) - (-13 + -17)?
135
Let m be 8/4 + (-76079)/10. Suppose 15230 = i + i. Let f = m + i. Calculate the common denominator of f and 7/2.
10
Suppose -3*g + 3641 = -5*b, 2*g - 958 - 1467 = b. Calculate the smallest common multiple of g and 16.
4848
Suppose 0 = c + 14 - 51. Let d = c - 37. Suppose 2*s - 4 = -m + 14, 3*m - 6 = d. Calculate the lowest common multiple of 6 and s.
24
What is the common denominator of (0 + (-4)/120)*173 and -5/441?
4410
Calculate the smallest common multiple of ((-9)/(-1) - (-2093 - -57)) + 1 and 12.
4092
Let k = -9675/56 + 1321/8. Calculate the common denominator of -17/126 and k.
126
Find the common denominator of 9 + (1 - 166283/16705) and -47/2.
2570
Suppose 6*r = -8*r + 57*r - 8987. What is the lowest common multiple of r and 988?
10868
Suppose -5*s = 5*d - 4515, 0 = 14*d - 12*d - 3*s - 1781. Let w = d + -835. What is the lowest common multiple of w and 49?
441
What is the common denominator of -51/514 and (138/(-192))/(364/560 - (-4)/(-10))?
2056
Let g = -15737783 - -1321941371/84. Let i = 534997/1428 + -307/204. Let p = i + g. Calculate the common denominator of p and 79/6.
12
Let f(p) = -182*p**3 + 20*p**2 + 16*p - 4. Calculate the smallest common multiple of f(-1) and 234.
1638
Let s be (12/(-8))/(12/(-56)). Suppose 86094 = s*o + 2*o. Let n = 210535/22 - o. What is the common denominator of n and 71/2?
22
Let a = -10/763 - -1576/3815. Let u = 12357/4 - 3108. What is the common denominator of a and u?
20
Let t(k) = -k**2 - 21*k + 78. Let b = 94 - 118. What is the smallest common multiple of t(b) and 84?
84
Let f be -3 + ((-5)/6)/((-2162)/6417). Let d = 1/846 - f. What is the common denominator of -11/4 and d?
36
Let s = 202329073/561 - 360658. Find the common denominator of s and 31/2618.
7854
Let w(i) = -4*i**2 - 9*i + 27. Let j be w(2). Let d = -5748 + 86176/15. Find the common denominator of (j + 3)*(-6 + (-395)/(-66)) and d.
165
Suppose 3*z + 20 = -79. Let q = z - -38. Calculate the common denominator of 117/20 and 2/q*(-255)/(-48).
40
Let w = 744581/234780 - -1/33540. Let t be (446/1155)/(16/(-138)). Let z = w + t. Calculate the common denominator of z and -53/16.
176
Suppose 3*u - 28 = -4*y, 6 - 8 = -u - 5*y. What is the lowest common multiple of 6 and u?
12
Let c = 3832 - 3811. What is the lowest common multiple of 80 and c?
1680
Let y = 95 + -89. Suppose -y*p + 67 - 31 = 0. Calculate the smallest common multiple of 34 and p.
102
Let d(p) = 5*p**3 - 8*p**2 + 12*p - 33. Let b be d(7). Calculate the common denominator of b/112 + 72/(-63) and (-423)/6*3/(-45).
40
Let d(w) be the first derivative of -w**3/3 + 9*w**2 - 21*w - 8. Let b be d(16). Suppose -b = -4*s + 1. Calculate the lowest common multiple of 4 and s.
12
Let a = -17605 - -192899/11. Let i be (1/(-18))/(55/72440). Let t = a - i. Find the common denominator of 119/24 and t.
72
Let t(v) = v**3 - 6*v**2 + 4*v + 4. Let y be t(5). Calculate the lowest common multiple of y/10*-158 - (-5)/25 and 2.
16
Let x = -89 + 94. Let o = 2469/2 - 81539/66. Calculate the common denominator of o and (-219)/(-3)*(424/(-84) + x).
231
Let o = 1034 - 768. Calculate the smallest common multiple of 114 and o.
798
Let z be 841795/3910 + 8/(-96)*-12. Let r = 4786816/22287 + -98/1311. Let a = r - z. What is the common denominator of a and -91/16?
368
Let c(u) = 17*u + 32. Let g be c(-1). Suppose -314 = -g*z + 46. Let r(d) = -d**3 + d**2 + 2*d. What is the lowest common multiple of z and r(-3)?
120
Let n(f) = 3*f**2 + 10*f - 10. Let s(t) = 16*t**3 - 7*t + 6. What is the smallest common multiple of s(1) and n(-5)?
15
Suppose 5*d = -3 + 13. Calculate the smallest common multiple of 6*(-7 + d)/(-15) and 12/(4/22 - (-140)/77).
6
Let o(z) = -134*z + 2666. Calculate the lowest common multiple of o(7) and 120.
8640
Suppose 23 = f - 40. Let a = -2596 - -2638. What is the least common multiple of a and f?
126
Let v = 157 + -42. Let h be (-29)/(-6) + (-2)/12*-1. Let u(i) = -i**2 + 6*i + 2. What is the lowest common multiple of u(h) and v?
805
Suppose -1070 = -f + 29. Let j = -8175/784 - -4351111/3920. Let t = f - j. Calculate the common denominator of t and 55/12.
60
Suppose d - n = 9, -7*d - 31 = -11*d - n. Suppose 68 = 16*r + r. Calculate the lowest common multiple of d and r.
8
Let d = 65787 - 40327447/613. Let f = d - -84077/3678. Find the common denominator of -99/64 and f.
192
Let o be ((-30)/(-9))/(-5)*60/(-8). Calculate the common denominator of ((-61748)/240)/43 - 3/o and -119/66.
132
Let u = -472 + 545. Suppose -25 = 4*f - u. What is the least common multiple of 6 and f?
12
Let s(c) = -2*c + 8. Let n(y) = -y - 5. Let z be n(-6). Let j be s(z). What is the common denominator of -111/20 and (-1)/j - 867/(-72)?
40
Suppose 0 = 5*z - 10 - 30. Suppose 496 = 4*r - 7*v, 0 = 5*r + 37*v - 50*v - 552. What is the least common multiple of r and z?
152
Let m = -132 + 308. Let r = 184 - m. Calculate the smallest common multiple of r and 24.
24
Let b = -1/1356 - 31859/9492. Let o(i) = -3*i - 1. Let x be o(-6). What is the common denominator of b and 4/x*(260/(-128) + 3)?
952
Find the common denominator of 106012*7/105952 - 7 and -47/1720.
18920
Let d be (-194)/60 - (-2)/3. Let y = 2/269 - 1369/3228. Let h = y - d. Calculate the common denominator of h and -103/70.
140
Let i(l) = l**2 - 54*l + 707. What is the smallest common multiple of 30 and i(16)?
990
Suppose -121 = -5*o + 4. Let n(f) = -f**3 - 23*f**2 - 114*f + 6. C