1, 3, 5
Solve 5*d**4 + 160*d**3 + 575*d**2 + 420*d = 0.
-28, -3, -1, 0
Solve 2*o**5/21 + 4*o**4/7 - 64*o**2/21 = 0.
-4, 0, 2
Find f, given that -2*f**2/21 - 1390*f/21 - 1388/21 = 0.
-694, -1
Factor 4*k**4 - 4*k**3 - 24*k**2.
4*k**2*(k - 3)*(k + 2)
Find w such that 4*w**3/9 + 176*w**2/3 + 7744*w/3 + 340736/9 = 0.
-44
Factor -4*c**4/3 + 20*c**3/3 - 16*c**2/3.
-4*c**2*(c - 4)*(c - 1)/3
Let -p**5/3 + 10*p**4/3 - 10*p**3 + 40*p**2/3 - 25*p/3 + 2 = 0. What is p?
1, 6
Factor -3*p**3/4 + 63*p**2/4 + 102*p - 117.
-3*(p - 26)*(p - 1)*(p + 6)/4
Factor 2*g**2/5 + 34*g/5 + 132/5.
2*(g + 6)*(g + 11)/5
Factor -c**2/6 - 5*c/3 + 11/6.
-(c - 1)*(c + 11)/6
Factor -o**3/7 - 227*o**2/7 - 13431*o/7 - 61605/7.
-(o + 5)*(o + 111)**2/7
Solve -z**4/2 - 163*z**3/2 - 6721*z**2/2 - 6237*z/2 + 6561 = 0.
-81, -2, 1
Factor 3*o**4/7 + 4722*o**3/7 + 18852*o**2/7 + 18840*o/7.
3*o*(o + 2)**2*(o + 1570)/7
Factor 2*x**2 + 4216*x + 2221832.
2*(x + 1054)**2
Determine u, given that 3*u**2/4 - 93*u/4 + 351/2 = 0.
13, 18
Factor r**3/6 + 13*r**2/6 + 16*r/3 + 10/3.
(r + 1)*(r + 2)*(r + 10)/6
Find j such that -3*j**2 + 2490*j - 516675 = 0.
415
Factor -2*n**2/9 + 64*n/9 - 62/9.
-2*(n - 31)*(n - 1)/9
Factor 2*k**4 - 2*k**3 - 2*k**2 + 2*k.
2*k*(k - 1)**2*(k + 1)
Factor 4*p**4/5 - 76*p**3/5 - 96*p**2.
4*p**2*(p - 24)*(p + 5)/5
Factor 3*z**3/8 + 57*z**2/8 - 63*z/4.
3*z*(z - 2)*(z + 21)/8
Factor -2*a**3 + 42*a**2 - 76*a.
-2*a*(a - 19)*(a - 2)
Solve 3*z**5 - 15*z**4 - 69*z**3 + 291*z**2 + 390*z - 600 = 0.
-4, -2, 1, 5
Factor -a**2 - 8638*a - 18653761.
-(a + 4319)**2
Factor -16*s**3/5 + 40*s**2 + 103*s/5 + 13/5.
-(s - 13)*(4*s + 1)**2/5
Determine x so that -10*x**4/3 - 56*x**3/3 + 10*x**2 + 12*x = 0.
-6, -3/5, 0, 1
Solve h**5/2 + h**4/2 - h**3/2 - h**2/2 = 0 for h.
-1, 0, 1
Solve -2*b**5/7 + 24*b**3/7 + 32*b**2/7 = 0 for b.
-2, 0, 4
Solve v**3 - 86*v**2 - 175*v - 88 = 0 for v.
-1, 88
Factor i**5 - 4*i**4 - 72*i**3 - 256*i**2 - 368*i - 192.
(i - 12)*(i + 2)**4
Determine c so that 2*c**3/9 + 430*c**2/9 + 9362*c/3 + 55738 = 0.
-93, -29
Suppose 5*p**5/3 - 152*p**4/3 - 95*p**3 + 908*p**2/3 + 652*p/3 - 128 = 0. What is p?
-3, -1, 2/5, 2, 32
Factor i**3/6 - 37*i**2/6.
i**2*(i - 37)/6
Factor -2*o**3 - 1414*o**2 + 8*o + 5656.
-2*(o - 2)*(o + 2)*(o + 707)
Determine s so that 3*s**2/7 + 132*s/7 + 1452/7 = 0.
-22
Factor 8*l**4/3 + 74*l**3/3 + 78*l**2 + 90*l + 18.
2*(l + 3)**3*(4*l + 1)/3
Suppose -3*k**3/8 + 591*k**2/8 + 3*k/8 - 591/8 = 0. What is k?
-1, 1, 197
Factor -u**4 - 31*u**3 + 38*u**2 + 192*u.
-u*(u - 3)*(u + 2)*(u + 32)
Let -20*h**2 + 6*h = 0. What is h?
0, 3/10
Factor 2*w**3 + 5436*w**2 + 3693762*w.
2*w*(w + 1359)**2
Find s, given that 6*s**3/17 - 46*s**2/17 - 20*s/17 + 32/17 = 0.
-1, 2/3, 8
Solve 3*v**5/2 - 45*v**4 - 231*v**3 + 948*v**2 - 2061*v/2 + 357 = 0.
-7, 1, 34
Factor 5*v**3 - 685*v**2 + 1355*v - 675.
5*(v - 135)*(v - 1)**2
Factor 27*r**3 - 48*r**2 - 660*r - 144.
3*(r - 6)*(r + 4)*(9*r + 2)
Factor 4*d**4 + 76*d**3 + 204*d**2 + 196*d + 64.
4*(d + 1)**3*(d + 16)
Find c such that 3*c**2/8 - 7977*c/8 - 1995/2 = 0.
-1, 2660
Solve -o**5 + 15*o**4 - 26*o**3 - 2*o**2 + 27*o - 13 = 0 for o.
-1, 1, 13
Factor -4*l**4 + 84*l**3 - 660*l**2 + 2300*l - 3000.
-4*(l - 6)*(l - 5)**3
Let -2*k**2 - 6*k + 8 = 0. Calculate k.
-4, 1
Factor 2*c**4 - 28*c**3 + 72*c**2 - 68*c + 22.
2*(c - 11)*(c - 1)**3
Solve 32*o**5/3 + 2032*o**4/3 + 8722*o**3/3 + 13484*o**2/3 + 2962*o + 708 = 0.
-59, -2, -1, -3/4
Let -2*h**5 - 1240*h**4 - 6162*h**3 - 7372*h**2 + 4936*h + 9840 = 0. What is h?
-615, -2, 1
Determine a, given that -4*a**4 + 4*a**3 + 4*a**2 - 4*a = 0.
-1, 0, 1
Determine a so that -2*a**3 - 364*a**2 - 16920*a - 32400 = 0.
-90, -2
Determine h, given that h**2/4 - 899*h/4 - 901/2 = 0.
-2, 901
Factor -5*o**4 + 20*o**3 + 75*o**2 - 90*o.
-5*o*(o - 6)*(o - 1)*(o + 3)
Determine q so that -5*q**4 - 25*q**3 + 15*q**2 + 65*q - 50 = 0.
-5, -2, 1
Factor 4*t**2 + 752*t + 35344.
4*(t + 94)**2
Suppose -3*q**3 + 18*q**2 - 15*q - 36 = 0. Calculate q.
-1, 3, 4
Factor -4*m**2/7 - 76*m/7 - 48.
-4*(m + 7)*(m + 12)/7
Let -2*f**5 - 16*f**4 + 64*f**3 - 28*f**2 - 62*f + 44 = 0. Calculate f.
-11, -1, 1, 2
Factor -8*p**3 - 116*p**2 - 332*p - 264.
-4*(p + 2)*(p + 11)*(2*p + 3)
Solve 3*x**3/4 + 45*x**2/4 + 39*x/2 = 0 for x.
-13, -2, 0
Factor -3*f**3 - 24*f**2 - 39*f - 18.
-3*(f + 1)**2*(f + 6)
Suppose -l**3/2 - 29*l**2 - 265*l/2 = 0. What is l?
-53, -5, 0
Factor 5*q**3 + 55*q**2 - 70*q - 120.
5*(q - 2)*(q + 1)*(q + 12)
Factor 4*q**3 + 21800*q**2 + 29702500*q.
4*q*(q + 2725)**2
Factor 2*f**3 + 136*f**2 - 426*f.
2*f*(f - 3)*(f + 71)
Solve k**4 + 83*k**3 - 84*k**2 = 0.
-84, 0, 1
Factor -147*h**3 - 29043*h**2 - 16560*h - 2364.
-3*(h + 197)*(7*h + 2)**2
Factor -3*b**4 - 141*b**3 + 3*b**2 + 141*b.
-3*b*(b - 1)*(b + 1)*(b + 47)
Determine s so that -3*s**5 - 27*s**4 - 81*s**3 - 93*s**2 - 36*s = 0.
-4, -3, -1, 0
Determine m, given that -m**4/2 + 7*m**3/2 - 17*m**2/2 + 17*m/2 - 3 = 0.
1, 2, 3
Solve -3*t**2 + 36*t = 0.
0, 12
Determine t, given that t**4 + 137*t**3 - 279*t**2 - 137*t + 278 = 0.
-139, -1, 1, 2
What is g in -5*g**4 - 30*g**3 + 675*g**2 - 2000*g = 0?
-16, 0, 5
Factor 3*q**2 - 2184*q + 397488.
3*(q - 364)**2
What is q in 2*q**3/7 - 24*q**2/7 - 2*q/7 + 24/7 = 0?
-1, 1, 12
Factor 2*x**2/3 - 4*x/3 - 160/3.
2*(x - 10)*(x + 8)/3
Determine s so that -4*s**5 + 44*s**4 + 356*s**3 - 2620*s**2 - 13024*s - 13552 = 0.
-7, -2, 11
Factor m**3/7 - 3*m**2/7 - 24*m/7 + 80/7.
(m - 4)**2*(m + 5)/7
Let -2*m**3 + 70*m**2 + 588*m = 0. What is m?
-7, 0, 42
Determine x so that 2*x**2/5 + 6*x/5 - 16 = 0.
-8, 5
Solve 2*j**3/7 - 60*j**2/7 - 66*j/7 + 124/7 = 0.
-2, 1, 31
Factor -3*n**3/4 + 21*n**2/4 - 45*n/4 + 27/4.
-3*(n - 3)**2*(n - 1)/4
Determine w, given that -w**3/5 - 11*w**2/5 - 28*w/5 = 0.
-7, -4, 0
Factor 2*y**2 + 194*y + 192.
2*(y + 1)*(y + 96)
Determine x so that 2*x**4 - 14*x**3 - 10*x**2 + 150*x = 0.
-3, 0, 5
Find b such that -b**5/3 - 7*b**4/3 - 5*b**3 - 13*b**2/3 - 4*b/3 = 0.
-4, -1, 0
Let -p**3 + 723*p**2 + p - 723 = 0. Calculate p.
-1, 1, 723
Factor -4*c**5/7 - 20*c**4/7 - 36*c**3/7 - 4*c**2 - 8*c/7.
-4*c*(c + 1)**3*(c + 2)/7
Find q such that -2*q**4/11 - 18*q**3/11 + 2*q**2/11 + 18*q/11 = 0.
-9, -1, 0, 1
Factor -w**2/8 - 5*w + 22.
-(w - 4)*(w + 44)/8
Factor -5*p**2 - 5*p + 280.
-5*(p - 7)*(p + 8)
Suppose 20*q**4 + 412*q**3 - 1088*q**2 + 368*q = 0. Calculate q.
-23, 0, 2/5, 2
Let -j**3 - 3*j**2 + 10*j = 0. Calculate j.
-5, 0, 2
Suppose -3*k**5 + 72*k**4 - 498*k**3 + 792*k**2 - 363*k = 0. Calculate k.
0, 1, 11
Determine w so that 2*w**2/13 - 4554*w/13 - 4556/13 = 0.
-1, 2278
Factor -v**4/4 - 7*v**3/2 + 10*v**2 + 32*v.
-v*(v - 4)*(v + 2)*(v + 16)/4
Solve 3*l**3 + 45*l**2 - 462*l = 0.
-22, 0, 7
Let -3*o**5 - 51*o**4 - 174*o**3 - 246*o**2 - 159*o - 39 = 0. Calculate o.
-13, -1
Factor p**3 + 2883*p**2 + 2770563*p + 887503681.
(p + 961)**3
Factor 2*b**3/19 - 470*b**2/19 + 1396*b/19 - 928/19.
2*(b - 232)*(b - 2)*(b - 1)/19
Factor -2*p**2/15 + 44*p/15 - 34/3.
-2*(p - 17)*(p - 5)/15
Factor -4*n**3 - 544*n**2 + 4*n + 544.
-4*(n - 1)*(n + 1)*(n + 136)
Solve z**5 - 6*z**4 + 2*z**3 + 16*z**2 - 3*z - 10 = 0.
-1, 1, 2, 5
Let w**3 - 180*w**2 + 7533*w + 51894 = 0. Calculate w.
-6, 93
Let 3*q**2 - 879*q = 0. What is q?
0, 293
Find y, given that -4*y**4 - 54*y**3 - 206*y**2 - 96*y + 360 = 0.
-6, -5/2, 1
Factor 2*u**2/3 - 76*u - 230/3.
2*(u - 115)*(u + 1)/3
Factor f**5/7 - 8*f**4/7 - 624*f**3/7 - 4608*f**2/7.
f**2*(f - 32)*(f + 12)**2/7
Factor -o**2 + 5*o - 4.
-(o - 4)*(o - 1)
Factor 3*p**4/7 + 97*p**3/7 + 534*p**2/7 - 400*p/7.
p*(p + 8)*(p + 25)*(3*p - 2)/7
Factor y**2/7 - 400*y/7 + 40000/7.
(y - 200)**2/7
Factor 2*o**2 + 170*o - 172.
2*(o - 1)*(o + 86)
Factor -2*i**4/3 + 2*i**3 + 50*i**2/3 + 14*i.
-2*i*(i - 7)*(i + 1)*(i + 3)/3
Find y such that 48*y**3 + 70*y**2 - 56*y - 8 = 0.
-2, -1/8, 2/3
Factor -3*c**3 - 27*c**2 + 75*c + 99.
-3*(c - 3)*(c + 1)*(c + 11)
Determine x, given that -32*x**3 - 60*x**2 - 24*x + 4 = 0.
-1, 1/8
Factor 2*h**3/3 + 8*h**2/3 + 10*h/3 + 4/3.
2*(h + 1)**2*(h + 2)/3
Factor -432*a**5/7 + 1080*a**4/7 + 612*a**3/7 + 106*a**2/7 + 6*a/7.
-2*a*(a - 3)*(6*a + 1)**3/7
Factor 5*q**5 - 15*q**4 - 30*q**3 + 50*q**2 + 105*q + 45.
5*(q - 3)**2*(q + 1)**3
What is f in -2*f**3/15 + 1078*f**2/15 - 29998*f/3 + 84270 = 0?
9, 265
Determine f, given that 2*f**4/5 + 4*f**3