 - 768*i - 2340.
4*(i - 195)*(i + 3)
Factor -4*r**3 - 4*r**2 + 4*r + 4.
-4*(r - 1)*(r + 1)**2
Factor -i**2 + 86*i - 1849.
-(i - 43)**2
Factor -i**3/2 - i**2 + 3*i/2.
-i*(i - 1)*(i + 3)/2
Solve -t**4/3 + 6*t**3 - 288*t = 0 for t.
-6, 0, 12
Determine h so that -3*h**3/2 + 21*h**2/2 + 42*h + 30 = 0.
-2, -1, 10
Factor -3*b**2/7 - 3*b - 30/7.
-3*(b + 2)*(b + 5)/7
Solve -130*d**4/9 - 38*d**3 - 34*d**2 - 106*d/9 - 4/3 = 0 for d.
-1, -2/5, -3/13
Let 15*c**5 - 66*c**4 + 99*c**3 - 60*c**2 + 12*c = 0. Calculate c.
0, 2/5, 1, 2
Factor -p**3/4 + 11*p**2 - 145*p + 600.
-(p - 24)*(p - 10)**2/4
Factor b**4/6 - 37*b**3/3 + 12*b**2 + 37*b/3 - 73/6.
(b - 73)*(b - 1)**2*(b + 1)/6
Determine s, given that 4*s**4/7 - 144*s**3/7 + 552*s**2/7 + 2192*s/7 - 372 = 0.
-3, 1, 7, 31
Factor k**2/11 + k - 26/11.
(k - 2)*(k + 13)/11
Determine z so that -z**4/12 - 145*z**3/12 - 59*z**2 - 281*z/3 - 140/3 = 0.
-140, -2, -1
Factor -z**2/9 + 101*z/9 + 34/3.
-(z - 102)*(z + 1)/9
Factor -w**5/8 + 3*w**4 - 83*w**3/4 + 33*w**2 - 121*w/8.
-w*(w - 11)**2*(w - 1)**2/8
Let 2*y**3 - 20*y**2 - 704*y - 3328 = 0. Calculate y.
-8, 26
Find n, given that -n**2 - 632*n - 631 = 0.
-631, -1
Determine n, given that -145*n**4 - 280*n**3 + 600*n**2 + 1120*n - 80 = 0.
-2, 2/29, 2
Suppose 5*r**5 - 5*r**4 = 0. What is r?
0, 1
Factor -3*o**3 - 309*o**2 + 1935*o - 2943.
-3*(o - 3)**2*(o + 109)
Factor 5*r**3 - 260*r**2 - 275*r + 530.
5*(r - 53)*(r - 1)*(r + 2)
Factor -4*l**2 + 440*l + 444.
-4*(l - 111)*(l + 1)
Factor u**3/3 - 47*u**2/3 + 176*u + 192.
(u - 24)**2*(u + 1)/3
Suppose -5*q**4 - 1130*q**3 - 68205*q**2 - 492680*q - 950480 = 0. What is q?
-109, -4
Suppose 2*h**5/5 - 8*h**4 - 606*h**3/5 + 116*h**2/5 + 376*h + 240 = 0. Calculate h.
-10, -1, 2, 30
Factor 2*c**4 + 50*c**3 + 432*c**2 + 1408*c + 1024.
2*(c + 1)*(c + 8)**3
Solve 2*s**5/7 + 256*s**4/7 + 9936*s**3/7 + 67712*s**2/7 - 1946720*s/7 = 0 for s.
-46, 0, 10
Find r such that 8*r**5/9 - 34*r**4 - 1444*r**3/3 + 5806*r**2/9 - 392*r/3 = 0.
-12, 0, 1/4, 1, 49
Let -2*b**2/7 + 7708*b/7 - 7426658/7 = 0. Calculate b.
1927
Determine y so that 5*y**4 - 60*y**3 - 135*y**2 - 70*y = 0.
-1, 0, 14
Determine w so that w**4/7 + 107*w**3/7 - 552*w**2/7 + 892*w/7 - 64 = 0.
-112, 1, 2
Factor r**2/6 + 139*r/3 + 275/2.
(r + 3)*(r + 275)/6
Factor 580*s**2 - 415*s - 165.
5*(s - 1)*(116*s + 33)
Suppose -b**5 + 10*b**4 + 41*b**3 - 406*b**2 + 892*b - 616 = 0. What is b?
-7, 2, 11
Solve -14*v**3 - 44*v**2 - 32*v = 0.
-2, -8/7, 0
Suppose 21*c**5/4 - 51*c**4/4 - 15*c**3/4 + 75*c**2/4 - 3*c/2 - 6 = 0. What is c?
-1, -4/7, 1, 2
Suppose -y**5/9 + 10*y**4/3 + 67*y**3/9 - 88*y**2/9 - 28*y - 128/9 = 0. What is y?
-2, -1, 2, 32
Find y such that 2*y**2/11 - 196*y/11 + 4802/11 = 0.
49
Solve -2*w**2/9 + 8*w/9 + 10/9 = 0.
-1, 5
Solve -3*w**5 + 33*w**4 - 129*w**3 + 231*w**2 - 192*w + 60 = 0 for w.
1, 2, 5
Solve 26*c**3 + 50*c**2 + 24*c = 0.
-1, -12/13, 0
Factor -n**2/3 + 6100*n/3 - 9302500/3.
-(n - 3050)**2/3
Factor -2*i**4 - 6*i**3 + 12*i**2 + 16*i.
-2*i*(i - 2)*(i + 1)*(i + 4)
Solve 3*u**2 - 10776*u + 9676848 = 0.
1796
Factor -4*d**5 - 8*d**4 + 156*d**3 - 288*d**2.
-4*d**2*(d - 3)**2*(d + 8)
Factor 3*i**2/5 - 666*i/5 + 663/5.
3*(i - 221)*(i - 1)/5
Factor 7*i**3/6 - 169*i**2/3 - 247*i/6 + 49/3.
(i - 49)*(i + 1)*(7*i - 2)/6
Let -5*u**4 - 7080*u**3 - 2506320*u**2 = 0. What is u?
-708, 0
Factor -2*n**3/7 + 46*n**2/7 + 208*n/7 + 216/7.
-2*(n - 27)*(n + 2)**2/7
Solve -3*k**4/5 + 86*k**3/5 - 644*k**2/5 + 392*k/5 = 0 for k.
0, 2/3, 14
Factor -2*t**2/7 - 252*t - 55566.
-2*(t + 441)**2/7
Suppose 5*a**3 - 25*a**2 = 0. Calculate a.
0, 5
Solve 3*n**4/8 + 27*n**3/8 + 63*n**2/8 + 57*n/8 + 9/4 = 0 for n.
-6, -1
Factor 2*c**5 - 62*c**4 + 372*c**3 - 904*c**2 + 976*c - 384.
2*(c - 24)*(c - 2)**3*(c - 1)
Suppose 4*x**3 + 84*x**2 - 180*x + 92 = 0. Calculate x.
-23, 1
Factor 2*d**4 - 254*d**3 + 7936*d**2 + 8192*d.
2*d*(d - 64)**2*(d + 1)
Find c such that -4*c**2 - 2112*c - 278784 = 0.
-264
Factor -5*z**3 - 330*z**2 - 325*z.
-5*z*(z + 1)*(z + 65)
Determine u so that -32*u**2 + 188*u + 24 = 0.
-1/8, 6
Factor 2*j**3 - 8*j**2 - 64*j.
2*j*(j - 8)*(j + 4)
Factor m**4 + 14*m**3 + 73*m**2 + 168*m + 144.
(m + 3)**2*(m + 4)**2
Factor -4*v**2 - 16*v + 20.
-4*(v - 1)*(v + 5)
Find n, given that 4*n**2 - 232*n = 0.
0, 58
Let -4*s**3 - 388*s**2 - 1136*s - 752 = 0. Calculate s.
-94, -2, -1
Solve p**2 - 35*p - 36 = 0 for p.
-1, 36
Factor -2*d**4 - 164*d**3 - 3362*d**2.
-2*d**2*(d + 41)**2
Factor -15*m**2/2 - 12051*m/2 - 2409.
-3*(m + 803)*(5*m + 2)/2
Find g, given that 3*g**2/8 + 63*g/4 + 1323/8 = 0.
-21
What is r in r**3/2 + 363*r**2/2 + 16380*r - 16562 = 0?
-182, 1
Factor c**4/5 - 43*c**3/5 + 281*c**2/5 + 815*c + 750.
(c - 25)**2*(c + 1)*(c + 6)/5
Factor -3*i**5 + 543*i**4 + 4488*i**3 + 9072*i**2.
-3*i**2*(i - 189)*(i + 4)**2
Solve 77284*x**5/5 + 229628*x**4/5 + 225196*x**3/5 + 14132*x**2 - 2176*x/5 + 16/5 = 0.
-1, 2/139
Factor -116*h**2 - 588*h - 40.
-4*(h + 5)*(29*h + 2)
What is n in 3*n**4 - 168*n**3 + 1794*n**2 + 15624*n + 25947 = 0?
-3, 31
Factor -3*o**2/2 + 234*o - 1377/2.
-3*(o - 153)*(o - 3)/2
Solve a**3/3 - 2357*a**2/3 = 0 for a.
0, 2357
Solve 9*h**5/10 - 43*h**4/10 + 7*h**3/2 + 11*h**2/2 - 22*h/5 - 6/5 = 0 for h.
-1, -2/9, 1, 2, 3
Factor -2*k**3/19 + 14*k**2/19 - 24*k/19.
-2*k*(k - 4)*(k - 3)/19
Factor -2*k**4 + 44*k**3 - 192*k**2.
-2*k**2*(k - 16)*(k - 6)
Factor 7*q**5 + 43*q**4 + 14*q**3 - 160*q**2 + 96*q.
q*(q - 1)*(q + 4)**2*(7*q - 6)
Suppose 4*f**5 + 2548*f**4 + 407036*f**3 + 401948*f**2 - 407040*f - 404496 = 0. Calculate f.
-318, -1, 1
What is o in -6*o**3/23 + 172*o**2/23 + 238*o/23 + 60/23 = 0?
-1, -1/3, 30
Factor b**4/4 + b**3/2 - b**2/4 - b/2.
b*(b - 1)*(b + 1)*(b + 2)/4
Factor -2*p**5 - 4*p**4 + 6*p**3 + 8*p**2 - 8*p.
-2*p*(p - 1)**2*(p + 2)**2
Solve -14*l**4/3 + 11966*l**3/3 - 6826*l**2 + 5114*l/3 + 3412/3 = 0 for l.
-2/7, 1, 853
Let 3*f**2/4 - 459*f/4 - 465/2 = 0. Calculate f.
-2, 155
Let -n**5/5 - 32*n**4/5 - 282*n**3/5 - 72*n**2 + 135*n = 0. Calculate n.
-15, -3, 0, 1
Factor -l**5 + 2*l**4 - 2*l**2 + l.
-l*(l - 1)**3*(l + 1)
Factor 27*j**4 - 18*j**3 - 465*j**2 - 564*j - 180.
3*(j - 5)*(j + 3)*(3*j + 2)**2
Solve -2*t**5/15 + 38*t**4/15 = 0 for t.
0, 19
Suppose 35*j**2 - 24300*j + 6940 = 0. Calculate j.
2/7, 694
Let -s**3/4 + 3*s**2/4 + s - 3 = 0. What is s?
-2, 2, 3
Factor 3*b**4/8 - 45*b**3/4 - 801*b**2/8 + 111*b.
3*b*(b - 37)*(b - 1)*(b + 8)/8
Solve -4*f**2 + 15408*f - 14837904 = 0 for f.
1926
Find d, given that 16*d**4/7 + 68*d**3 - 122*d**2/7 - 60*d/7 = 0.
-30, -1/4, 0, 1/2
Factor -q**3/4 + 207*q**2/2 - 14283*q + 657018.
-(q - 138)**3/4
Find r, given that 5*r**3 - 4085*r**2 + 8155*r - 4075 = 0.
1, 815
Factor -r**2/4 - 589*r/2 - 346921/4.
-(r + 589)**2/4
Factor -m**2/2 - 1862*m - 1733522.
-(m + 1862)**2/2
Solve -3*l**5 + 96*l**4 - 657*l**3 - 96*l**2 + 660*l = 0.
-1, 0, 1, 10, 22
Determine u so that 12*u**5 - 21*u**4 - 42*u**3 + 87*u**2 - 24*u - 12 = 0.
-2, -1/4, 1, 2
Determine a so that -a**4/2 + 37*a**3/2 + a**2/2 - 37*a/2 = 0.
-1, 0, 1, 37
Solve 2*z**2/13 - 140*z/13 = 0 for z.
0, 70
Factor 3*q**3 - 2223*q**2 + 408456*q + 1245456.
3*(q - 372)**2*(q + 3)
Find w, given that w**4 - 69*w**3 - 213*w**2 - 215*w - 72 = 0.
-1, 72
Factor -n**2/2 - 15*n/2 + 162.
-(n - 12)*(n + 27)/2
Factor 8*k**3/5 - 5176*k**2/5 - 5182*k/5 - 1296/5.
2*(k - 648)*(2*k + 1)**2/5
Let 14*k**3 + 104*k**2 - 798*k - 360 = 0. Calculate k.
-12, -3/7, 5
Let -12*h**4 + 51*h**3 + 9*h**2 - 135*h - 81 = 0. Calculate h.
-1, -3/4, 3
Factor -3*o**5 + 12*o**4 + 15*o**3.
-3*o**3*(o - 5)*(o + 1)
Factor -2*o**4 - 14*o**3 + 196*o**2.
-2*o**2*(o - 7)*(o + 14)
What is v in -3*v**4 + 483*v**3 - 477*v**2 - 483*v + 480 = 0?
-1, 1, 160
Factor 3*t**3 + 189*t**2.
3*t**2*(t + 63)
Factor 2*f**4/3 + 70*f**3/3 + 286*f**2 + 4114*f/3 + 5324/3.
2*(f + 2)*(f + 11)**3/3
Let -3*s**4 + 66*s**3 - 279*s**2 - 768*s - 420 = 0. Calculate s.
-1, 10, 14
Factor d**3 + 45*d**2 - 4*d - 180.
(d - 2)*(d + 2)*(d + 45)
Solve 3*d**2 + 27*d + 54 = 0 for d.
-6, -3
Factor n**4 + 141*n**3 - 575*n**2 + 723*n - 290.
(n - 2)*(n - 1)**2*(n + 145)
Find q such that -2*q**3 - 26*q**2 + 92*q - 64 = 0.
-16, 1, 2
What is b in -2*b**2/19 + 2*b = 0?
0, 19
Determine j, given that 2*j**4/5 - 22*j**3/5 + 66*j**2/5 - 74*j/5 + 28/5 = 0.
1, 2, 7
Suppose -2*x**2/13 - 758*x/13 - 116 = 0. Calculate x.