875*h/4 - 145/2.
5*(h + 29)*(13*h - 2)/4
Factor -5*y**2 - 20*y + 60.
-5*(y - 2)*(y + 6)
Factor p**5/5 - 57*p**4/5 + 216*p**3 - 1360*p**2.
p**2*(p - 20)**2*(p - 17)/5
Factor -2*b**2 - 768*b.
-2*b*(b + 384)
Solve -4*h**3 + 1736*h**2 - 188356*h = 0.
0, 217
Find x, given that 5*x**2 - 230*x = 0.
0, 46
Factor -d**2/4 + 5*d/4 + 63/2.
-(d - 14)*(d + 9)/4
Let -2187*b**5/7 - 972*b**4/7 + 1917*b**3/7 + 18*b**2 - 480*b/7 + 96/7 = 0. Calculate b.
-1, -2/3, 1/3, 4/9
Solve -f**4/2 - 67*f**3/4 + 107*f**2/4 + 67*f/4 - 105/4 = 0.
-35, -1, 1, 3/2
Solve -4*p**4/9 + 32*p**3/9 + 4*p**2 - 48*p - 48 = 0 for p.
-3, -1, 6
Solve -3*l**5/2 + 4*l**4 + 27*l**3 - 50*l**2 + 21*l/2 + 10 = 0.
-4, -1/3, 1, 5
Factor -3*z**4/8 + 2769*z**3/4 - 640329*z**2/2 + 637563*z.
-3*z*(z - 922)**2*(z - 2)/8
Let -n**4/4 - 9*n**3 - 107*n**2/2 - 81*n - 145/4 = 0. Calculate n.
-29, -5, -1
Find u such that -u**3/2 + 29*u**2/2 - 114*u + 270 = 0.
5, 6, 18
Solve -5*z**5 + 10*z**4 + 150*z**3 + 200*z**2 - 145*z - 210 = 0.
-3, -2, -1, 1, 7
Find y, given that 4*y**4/3 - 2*y**3/3 - 16*y**2/3 - 10*y/3 = 0.
-1, 0, 5/2
Factor -2*d**3/11 - 150*d**2/11 - 2886*d/11 - 2738/11.
-2*(d + 1)*(d + 37)**2/11
Determine n, given that 4*n**4 + 612*n**3/5 + 188*n**2 + 348*n/5 = 0.
-29, -1, -3/5, 0
Find n, given that -25*n**5/4 + 5*n**4/2 + 75*n**3/2 + 35*n**2 - 5*n/4 - 15/2 = 0.
-1, 2/5, 3
Factor 3*i**3 + 24*i**2 - 3*i - 24.
3*(i - 1)*(i + 1)*(i + 8)
Factor -2*m**4 - 236*m**3 - 7192*m**2 - 13456*m.
-2*m*(m + 2)*(m + 58)**2
Determine s so that -s**2/2 + 83*s - 805/2 = 0.
5, 161
Factor -3*m**5/2 + 63*m**4/2 - 171*m**3/2 + 165*m**2/2 - 27*m.
-3*m*(m - 18)*(m - 1)**3/2
Let 4*w**4/7 - 114*w**3/7 + 262*w**2/7 - 48*w/7 - 104/7 = 0. Calculate w.
-1/2, 1, 2, 26
Factor 2*n**5/15 + 16*n**4/15 + 10*n**3/3 + 76*n**2/15 + 56*n/15 + 16/15.
2*(n + 1)**2*(n + 2)**3/15
Factor 14*v**3/5 - 136*v**2/5 - 194*v/5 - 44/5.
2*(v - 11)*(v + 1)*(7*v + 2)/5
Let -p**2/2 - 6*p = 0. Calculate p.
-12, 0
Solve w**3 + 4271*w**2 + 4558224*w - 4562496 = 0.
-2136, 1
Factor -2*t**4/7 - 352*t**3/7 - 23232*t**2/7 - 681472*t/7 - 7496192/7.
-2*(t + 44)**4/7
Suppose -2*k**5/19 + 18*k**3/19 - 8*k**2/19 - 24*k/19 = 0. Calculate k.
-3, -1, 0, 2
Determine v so that -24*v**3/5 - 34*v**2/5 + 14*v/5 = 0.
-7/4, 0, 1/3
What is p in -10*p**5 + 205*p**4 + 1080*p**3 + 1125*p**2 = 0?
-3, -3/2, 0, 25
Solve 10*u**3/7 + 36*u**2/7 - 142*u/7 - 24 = 0.
-28/5, -1, 3
Suppose 3*u**3 - 156*u**2 - 660*u - 672 = 0. What is u?
-2, 56
Factor 4*d**2/5 + 92*d/5 - 40.
4*(d - 2)*(d + 25)/5
Factor -2*n**2 - 90*n - 88.
-2*(n + 1)*(n + 44)
Factor -x**2/4 + 149*x/4.
-x*(x - 149)/4
Determine x, given that 2*x**5/11 + 42*x**4/11 + 232*x**3/11 + 32*x**2/11 - 960*x/11 - 800/11 = 0.
-10, -2, -1, 2
Find y such that 128*y**2/5 + 336*y + 2205/2 = 0.
-105/16
Let -i**5/3 - 10*i**4/3 + 16*i**3/3 + 58*i**2/3 + 11*i = 0. Calculate i.
-11, -1, 0, 3
Determine m, given that 5*m**4 + 15*m**3 - 90*m**2 - 160*m + 480 = 0.
-4, 2, 3
Suppose 2*f**5/5 - 34*f**4/5 + 138*f**3/5 + 98*f**2/5 - 364*f/5 - 288/5 = 0. Calculate f.
-1, 2, 8, 9
Suppose i**3 - 81*i**2 - 165*i - 83 = 0. What is i?
-1, 83
Factor 7*b**2 - 1412*b - 404.
(b - 202)*(7*b + 2)
Find d, given that 7*d**3/4 + 129*d**2/4 + 86*d - 60 = 0.
-15, -4, 4/7
Determine a so that 3*a**3/8 + 189*a**2/4 + 8307*a/8 - 30246 = 0.
-71, 16
Factor c**3/10 - 2541*c**2/5 + 4304454*c/5 - 2430581692/5.
(c - 1694)**3/10
Solve -s**2/5 + 28*s/5 - 196/5 = 0.
14
Let 26450*p**4/3 + 80270*p**3/3 + 18556*p**2 + 1864*p/3 + 16/3 = 0. What is p?
-2, -1, -2/115
Factor -r**3 + 90*r**2 - 1728*r - 13824.
-(r - 48)**2*(r + 6)
Factor -5*a**2/3 - 250*a/3 + 3355/3.
-5*(a - 11)*(a + 61)/3
Let -4*c**4 + 56*c**3 + 12*c**2 - 160*c - 112 = 0. What is c?
-1, 2, 14
Suppose 5*l**2 - 2640*l + 348480 = 0. What is l?
264
Determine n, given that 2*n**3 - 32*n**2 - 278*n + 308 = 0.
-7, 1, 22
Suppose 28*i**4 + 692*i**3 - 2496*i**2 + 2224*i - 448 = 0. What is i?
-28, 2/7, 1, 2
Determine d so that -6*d**4 - 96*d**3 - 496*d**2/3 + 128*d/3 + 224/3 = 0.
-14, -2, -2/3, 2/3
Factor -2*w**2/3 - 46*w + 144.
-2*(w - 3)*(w + 72)/3
Factor 2*f**2 - 1100*f + 151250.
2*(f - 275)**2
Factor -6*z**2/11 - 5496*z/11.
-6*z*(z + 916)/11
Factor 6*b**2/11 + 194*b/11 + 64/11.
2*(b + 32)*(3*b + 1)/11
Determine o, given that 2*o**4 + 2796*o**3 - 2800*o**2 - 2796*o + 2798 = 0.
-1399, -1, 1
Solve 4*r**2/3 - 110*r/3 - 56/3 = 0.
-1/2, 28
Factor -j**4/4 + 19*j**3/4 - 17*j**2/2.
-j**2*(j - 17)*(j - 2)/4
Factor 3*d**3 + 84*d**2 - 483*d + 396.
3*(d - 4)*(d - 1)*(d + 33)
Factor p**2/4 + 71*p + 5041.
(p + 142)**2/4
Determine l, given that -48*l**3 - 2232*l**2 - 1107*l - 138 = 0.
-46, -1/4
Determine j, given that 6*j**3 - 41*j**2 - 55*j - 8 = 0.
-1, -1/6, 8
Factor -5*d**2 - 6670*d - 6665.
-5*(d + 1)*(d + 1333)
Suppose 4*k**2 + 980*k = 0. Calculate k.
-245, 0
Factor 2*g**3 + 66*g**2 + 124*g.
2*g*(g + 2)*(g + 31)
Factor 2*v**2/13 + 3040*v/13 + 6072/13.
2*(v + 2)*(v + 1518)/13
Let 5*o**3 - 120*o**2 - 255*o + 14450 = 0. Calculate o.
-10, 17
Suppose -2*a**5/5 + 784*a**4/5 + 786*a**3/5 = 0. What is a?
-1, 0, 393
Find h, given that -4*h**5 - 8*h**4 + 36*h**3 + 8*h**2 - 32*h = 0.
-4, -1, 0, 1, 2
Find o, given that -o**2 + 53*o - 52 = 0.
1, 52
Determine f so that 5*f**3 + 65*f**2 + 60*f = 0.
-12, -1, 0
Suppose 2*v**3 - 10*v**2 - 8*v + 40 = 0. Calculate v.
-2, 2, 5
Determine y, given that y**5/4 - 31*y**4/2 - 32*y**3 - y**2/2 + 127*y/4 + 16 = 0.
-1, 1, 64
Solve -5*m**2 + 3430*m - 588245 = 0 for m.
343
Factor -5*g**5 + 80*g**4 - 225*g**3 - 810*g**2.
-5*g**2*(g - 9)**2*(g + 2)
Suppose -4*z**2 - 48*z - 80 = 0. Calculate z.
-10, -2
Factor -3*m**2/5 - 18*m - 483/5.
-3*(m + 7)*(m + 23)/5
Find z such that -z**3/3 - z**2 + 4*z/3 = 0.
-4, 0, 1
Factor -m**2/4 + 17*m/4 + 195/2.
-(m - 30)*(m + 13)/4
Factor -2*d**2 + 350*d.
-2*d*(d - 175)
Find w such that -4*w**4 + 148*w**3 + 160*w**2 - 304*w = 0.
-2, 0, 1, 38
Determine c so that -2*c**3/3 + 2*c**2/3 + 32*c/3 - 32/3 = 0.
-4, 1, 4
Factor 3*a**2 - 240*a + 693.
3*(a - 77)*(a - 3)
Factor c**4 + 3*c**3 + 3*c**2 + c.
c*(c + 1)**3
Factor m**4 - 2*m**3 - 47*m**2 - 132*m - 108.
(m - 9)*(m + 2)**2*(m + 3)
Suppose -4*u**3 - 308*u**2 + 628*u - 316 = 0. What is u?
-79, 1
Factor 4*s**2 - 29768*s - 29772.
4*(s - 7443)*(s + 1)
Solve -3*o**3/5 - 219*o**2/5 + 447*o/5 - 45 = 0.
-75, 1
Let 4*o**2/5 + 4000*o + 5000000 = 0. Calculate o.
-2500
Let -12*l**4 + 75*l**3 - 126*l**2 + 75*l - 12 = 0. Calculate l.
1/4, 1, 4
Find b such that -8*b**3/5 + 84*b**2/5 + 28*b + 48/5 = 0.
-1, -1/2, 12
Factor -r**2/3 - 5*r/3 + 28.
-(r - 7)*(r + 12)/3
Factor 3*f**3 + 5967*f**2 + 3956121*f + 874302741.
3*(f + 663)**3
Factor b**3/2 + 147*b**2/4 - 37*b/2.
b*(b + 74)*(2*b - 1)/4
Find t, given that -9*t**3/5 + 30*t**2 + 57*t/5 - 102/5 = 0.
-1, 2/3, 17
Suppose 9*s**5/2 - 6*s**4 - 15*s**3/2 + 3*s**2 = 0. What is s?
-1, 0, 1/3, 2
Find b such that 3*b**4 - 39*b**3 - 474*b**2 + 1080*b = 0.
-9, 0, 2, 20
Factor -3*m**2 + 168*m - 165.
-3*(m - 55)*(m - 1)
Find v such that 4*v**5/5 - 26*v**4/3 - 64*v**3/3 - 46*v**2/3 - 52*v/15 = 0.
-1, -2/3, -1/2, 0, 13
Let 2*b**5 - 114*b**4 + 1786*b**3 - 4590*b**2 + 2916*b = 0. What is b?
0, 1, 2, 27
Factor -3*d**2 - 1299*d - 1296.
-3*(d + 1)*(d + 432)
Solve -2*p**3 + 482*p**2 + 484*p = 0 for p.
-1, 0, 242
Factor 64*b**5/11 - 32*b**4/11 - 12*b**3/11 + 4*b**2/11 + b/11.
b*(2*b - 1)**2*(4*b + 1)**2/11
Suppose -4*u**4 - 3204*u**3 - 643192*u**2 - 633600*u + 1280000 = 0. Calculate u.
-400, -2, 1
Factor c**2/4 - 49*c/2 + 2401/4.
(c - 49)**2/4
Factor -2*s**4 - 44*s**3 + 200*s**2 - 208*s.
-2*s*(s - 2)**2*(s + 26)
Factor -2*m**3/3 + 44*m**2/3 - 82*m/3 + 40/3.
-2*(m - 20)*(m - 1)**2/3
Suppose 15*w**4 + 351*w**3 - 981*w**2 + 849*w - 234 = 0. Calculate w.
-26, 3/5, 1
Determine c, given that -4*c**2/5 - 72*c/5 - 128/5 = 0.
-16, -2
Suppose -19*k**2 - 4*k = 0. What is k?
-4/19, 0
Factor -t**2/4 + 1531*t/2 - 2343961/4.
-(t - 1531)**2/4
Factor 2*x**3/7 + 10*x**2 - 2*x/7 - 10.
2*(x - 1)*(x + 1)*(x + 35)/7
Determine a so that 4*a**3 - 11596*a**2 = 0.
0, 2899
Factor a**4 + 8*a**3 - 9*a**2.
a**2*(a - 1)*(a + 9)
Let 2*u**2/9 + 16*u/9 = 0. Calculate u.
-8, 0
Solve -2*t**2/3 + 232*t/3 - 832 = 0 for t.
12, 104
Factor 2*v**4/5 - 6*v**2/5 - 4*v/5.
2*v*(v - 2)*(v + 1)**2/5
Suppose 2*r**3/13 + 110*r**2/13 - 1906*r/13 + 138 = 0. Calculate r.
-69, 1, 13
Suppose -c**3 + 