 - 324*h + 162 = 0 for h.
-6, 2/3, 3
Solve b**5/5 - 44*b**4/5 + 438*b**3/5 + 1012*b**2/5 + 529*b/5 = 0 for b.
-1, 0, 23
Factor t**3/10 + t**2/2 - 33*t/5.
t*(t - 6)*(t + 11)/10
Factor -4*v**4/3 - 1552*v**3/3 - 145816*v**2/3 + 305744*v - 465708.
-4*(v - 3)**2*(v + 197)**2/3
Factor 35*m**2 + 180*m - 180.
5*(m + 6)*(7*m - 6)
Suppose -2*a**5/7 + 68*a**4/7 - 424*a**3/7 - 380*a**2 - 2166*a/7 = 0. Calculate a.
-3, -1, 0, 19
Suppose 2*i**4/11 - 36*i**3/11 + 224*i**2/11 - 576*i/11 + 512/11 = 0. What is i?
2, 4, 8
Factor 2*r**2/15 - 2*r/5 + 4/15.
2*(r - 2)*(r - 1)/15
Factor -z**3 - 17*z**2 + 37*z - 19.
-(z - 1)**2*(z + 19)
Find c, given that -3*c**2 + 2106*c - 369603 = 0.
351
Solve 3*m**2 - 57*m = 0.
0, 19
Factor -v**4/4 - 109*v**3/2 - 11437*v**2/4 + 12099*v - 12321.
-(v - 2)**2*(v + 111)**2/4
Factor 2*x**4 + 26*x**3 + 90*x**2 - 50*x - 500.
2*(x - 2)*(x + 5)**3
Factor 24*h**2 + 159*h - 63.
3*(h + 7)*(8*h - 3)
Find p, given that 4*p**2 - 160*p + 1116 = 0.
9, 31
Let -6*w**5 + 154*w**4 - 1000*w**3 - 2400*w**2 + 32000*w - 20000 = 0. What is w?
-5, 2/3, 10
Factor 2*s**3 + 24*s**2 - 86*s + 60.
2*(s - 2)*(s - 1)*(s + 15)
Suppose -w**2/4 - 309*w/2 - 95481/4 = 0. Calculate w.
-309
Solve -2*m**5/13 + 402*m**4/13 - 27324*m**3/13 + 653400*m**2/13 - 1724976*m/13 = 0.
0, 3, 66
Factor 3*q**5 - 309*q**4 - 630*q**3 - 6*q**2 + 627*q + 315.
3*(q - 105)*(q - 1)*(q + 1)**3
Factor 343*v**5/9 + 3724*v**4/3 + 46165*v**3/3 + 804698*v**2/9 + 718828*v/3 + 238328.
(v + 3)**2*(7*v + 62)**3/9
Factor 4*t**2 + 2760*t + 476100.
4*(t + 345)**2
Factor -5*n**2 - 940*n - 44180.
-5*(n + 94)**2
Solve 3*r**3 - 21*r**2 - 255*r + 273 = 0 for r.
-7, 1, 13
Factor -20*n**3 + 315*n**2 - 1620*n + 2700.
-5*(n - 6)**2*(4*n - 15)
Let -4*w**5/7 + 24*w**4/7 + 96*w**3/7 + 104*w**2/7 + 36*w/7 = 0. What is w?
-1, 0, 9
Suppose 2*b**3 + 4*b**2 = 0. What is b?
-2, 0
Solve -2*z**5/7 - 36*z**4/7 + 124*z**3/7 - 48*z**2/7 - 122*z/7 + 12 = 0.
-21, -1, 1, 2
Factor -4*f**3 + 36*f**2 - 96*f + 64.
-4*(f - 4)**2*(f - 1)
Factor 2*q**3 - 4*q**2 - 318*q + 936.
2*(q - 12)*(q - 3)*(q + 13)
Factor c**4/7 + 2164*c**3/7 + 1170724*c**2/7.
c**2*(c + 1082)**2/7
What is o in -11*o**2 + 8*o = 0?
0, 8/11
Factor 5*g**5/3 + 50*g**4/3 + 185*g**3/3 + 100*g**2 + 60*g.
5*g*(g + 2)**2*(g + 3)**2/3
Factor -121945*z**5 - 584495*z**4 + 124410*z**3 - 8660*z**2 + 200*z.
-5*z*(z + 5)*(29*z - 2)**3
Suppose 3*h**2 + 87*h + 84 = 0. What is h?
-28, -1
Factor 28*d**2 - 524*d - 152.
4*(d - 19)*(7*d + 2)
Factor 2*w**3 - 60*w**2 + 54*w + 116.
2*(w - 29)*(w - 2)*(w + 1)
Suppose 4*k**3/7 - 300*k**2/7 = 0. Calculate k.
0, 75
Factor 4*n**3 + 188*n**2 + 536*n + 352.
4*(n + 1)*(n + 2)*(n + 44)
Solve -5*i**5 - 200*i**4 - 190*i**3 + 200*i**2 + 195*i = 0 for i.
-39, -1, 0, 1
Factor -a**3/5 - 457*a**2/5 - 911*a/5 - 91.
-(a + 1)**2*(a + 455)/5
Factor -3*m**2/5 - 54*m - 1215.
-3*(m + 45)**2/5
Factor -r**3 + 23*r**2 + 49*r + 25.
-(r - 25)*(r + 1)**2
Solve 3*c**4/4 + 9*c**3/4 + 3*c**2/4 - 9*c/4 - 3/2 = 0 for c.
-2, -1, 1
Solve 3*c**2/4 - 39*c/2 + 507/4 = 0.
13
Factor -2*u**3 + 1600*u**2 - 3194*u + 1596.
-2*(u - 798)*(u - 1)**2
Find f, given that 9*f**4 - 87*f**3 + 114*f**2 + 48*f = 0.
-1/3, 0, 2, 8
Factor 293*b**2 - 2*b.
b*(293*b - 2)
Find t such that -2*t**4 - 59*t**3 - 4*t**2 + 713*t - 348 = 0.
-29, -4, 1/2, 3
Suppose 2*c**3/9 - 38*c**2/3 + 560*c/3 - 1568/9 = 0. Calculate c.
1, 28
Factor 4*m**5 + 2792*m**4 + 651444*m**3 + 51232096*m**2 + 97959680*m - 149846016.
4*(m - 1)*(m + 3)*(m + 232)**3
Factor -3*d**3/5 - 2244*d**2/5 - 84816*d - 1660608/5.
-3*(d + 4)*(d + 372)**2/5
Factor 2*m**3/3 - 68*m**2 + 2312*m - 78608/3.
2*(m - 34)**3/3
Determine a so that -4*a**3/9 + 112*a**2/3 - 144*a + 1280/9 = 0.
2, 80
Factor -v**3/3 - 118*v**2 + 1069*v/3 - 238.
-(v - 2)*(v - 1)*(v + 357)/3
Determine i so that 2*i**2/9 + 70*i/9 + 68/9 = 0.
-34, -1
Determine c so that c**5/5 + 16*c**4/5 + 78*c**3/5 + 112*c**2/5 + 49*c/5 = 0.
-7, -1, 0
Factor -r**2 - 11*r + 26.
-(r - 2)*(r + 13)
Suppose -5*o**3/2 + 50*o**2 = 0. What is o?
0, 20
Find h such that h**2/2 - 2595*h + 6734025/2 = 0.
2595
Solve 11*d**4/4 + 53*d**3/4 - 19*d**2 + 3*d = 0.
-6, 0, 2/11, 1
What is d in 676*d**5 + 3692*d**4 + 8044*d**3 + 8740*d**2 + 4736*d + 1024 = 0?
-16/13, -1
Determine a so that 10*a**4 - 356*a**3 + 1806*a**2 + 3100*a + 928 = 0.
-1, -2/5, 8, 29
Factor -4*p**3/3 - 4*p**2/3 + 80*p/3.
-4*p*(p - 4)*(p + 5)/3
Suppose 21*w**4/4 + 19*w**3 - 477*w**2/4 + 38*w + 21 = 0. What is w?
-7, -2/7, 2/3, 3
Solve 3*q**4/2 + 15*q**3/2 - 129*q**2/2 + 201*q/2 - 45 = 0 for q.
-10, 1, 3
Factor -5*p**2 - 6470*p - 2093045.
-5*(p + 647)**2
Find n, given that 722*n**2 - 29640*n + 304200 = 0.
390/19
Suppose -28*j**5/9 - 92*j**4/3 - 716*j**3/9 - 44*j**2 + 8*j = 0. Calculate j.
-6, -3, -1, 0, 1/7
Factor -o**3/4 - 714*o**2 - 679728*o - 215700352.
-(o + 952)**3/4
Suppose -o**2/4 - 76*o = 0. Calculate o.
-304, 0
Let 5*j**2 + 180*j - 185 = 0. Calculate j.
-37, 1
Find s such that -2*s**5 + 50*s**4 - 336*s**3 + 288*s**2 = 0.
0, 1, 12
Factor -l**3/7 + 3*l**2 - 18*l/7 - 40/7.
-(l - 20)*(l - 2)*(l + 1)/7
Factor 3*q**3 + 3*q**2 - 363*q - 363.
3*(q - 11)*(q + 1)*(q + 11)
Factor 2*x**2/11 + 218*x/11 + 216/11.
2*(x + 1)*(x + 108)/11
Let r**4 - 60*r**3 - 124*r**2 = 0. What is r?
-2, 0, 62
Let -3*u**2/2 - 147*u + 297/2 = 0. What is u?
-99, 1
Solve d**3/10 + 259*d**2/10 + 103*d/2 + 257/10 = 0 for d.
-257, -1
Find o, given that -5*o**3 + 20*o = 0.
-2, 0, 2
Suppose -q**2/2 - 97*q + 196 = 0. What is q?
-196, 2
Factor -y**3/6 + 436*y**2/3 - 1741*y/6 + 145.
-(y - 870)*(y - 1)**2/6
Determine n, given that -2*n**3/5 - 3512*n**2/5 - 1545274*n/5 - 3076516/5 = 0.
-877, -2
Let -35*j**4 - 80*j**3 + 120*j**2 + 320*j + 80 = 0. What is j?
-2, -2/7, 2
Factor n**3/9 - 10*n**2/9 - 91*n/9 - 80/9.
(n - 16)*(n + 1)*(n + 5)/9
Suppose c**2/5 - 134*c/5 - 27 = 0. Calculate c.
-1, 135
Solve 26*m**5/7 + 628*m**4/7 + 816*m**3 + 23328*m**2/7 + 37152*m/7 + 5184/7 = 0 for m.
-6, -2/13
Factor -3*g**4 - 117*g**3 - 951*g**2 + 3717*g - 2646.
-3*(g - 2)*(g - 1)*(g + 21)**2
Suppose -42632*l**4/7 + 93586*l**3/7 - 16092*l**2/7 - 1096*l/7 - 16/7 = 0. What is l?
-2/73, 1/4, 2
Factor -a**2 - 117*a + 1548.
-(a - 12)*(a + 129)
Find b, given that 6*b**5 + 250*b**4 + 3522*b**3 + 18958*b**2 + 31680*b - 12800 = 0.
-16, -5, 1/3
Solve -s**3/3 + 4*s**2 + 115*s/3 - 42 = 0 for s.
-7, 1, 18
Determine v, given that 63*v**3/2 + 57*v**2/2 - 3*v = 0.
-1, 0, 2/21
Factor 5*k**4 - 5*k**3 - 25*k**2 - 15*k.
5*k*(k - 3)*(k + 1)**2
Factor z**2/6 - 6*z.
z*(z - 36)/6
Determine j, given that 2*j**2 - 276*j - 846 = 0.
-3, 141
Factor 2*g**3/11 - 17040*g**2/11 + 36295200*g/11.
2*g*(g - 4260)**2/11
Factor -s**3 + 4*s**2 - 4*s.
-s*(s - 2)**2
Find k, given that -3*k**2/2 - 261*k - 22707/2 = 0.
-87
Factor -10*k**5 - 55*k**4 - 100*k**3 - 60*k**2.
-5*k**2*(k + 2)**2*(2*k + 3)
Factor 3*k**3 + 1926*k**2 - 1929*k.
3*k*(k - 1)*(k + 643)
Determine x, given that -25*x**2 - 40*x - 15 = 0.
-1, -3/5
Determine u so that 4*u**2 - 48*u - 52 = 0.
-1, 13
What is p in -p**5 - 4*p**4 - 3*p**3 = 0?
-3, -1, 0
Factor -c**4 + 23*c**3 - 102*c**2.
-c**2*(c - 17)*(c - 6)
Factor 2*x**4 - 172*x**3 + 5018*x**2 - 56760*x + 217800.
2*(x - 33)**2*(x - 10)**2
Factor 3*y**5 - 87*y**4/5 + 168*y**3/5 - 108*y**2/5.
3*y**2*(y - 2)**2*(5*y - 9)/5
Factor z**4/6 + z**3/6 - z**2 - 2*z/3 + 4/3.
(z - 2)*(z - 1)*(z + 2)**2/6
Factor 2*w**5 + 8*w**4 + 10*w**3 + 4*w**2.
2*w**2*(w + 1)**2*(w + 2)
Factor 2*h**2 - 30*h.
2*h*(h - 15)
Factor -4*v**5 - 32*v**4 - 16*v**3 + 104*v**2 + 148*v + 56.
-4*(v - 2)*(v + 1)**3*(v + 7)
Factor -2*n**4/5 - 6*n**3/5 - 4*n**2/5.
-2*n**2*(n + 1)*(n + 2)/5
Find q such that -4*q**3 + 60*q**2 - 252*q + 196 = 0.
1, 7
Factor -4*b**3 - 16*b**2.
-4*b**2*(b + 4)
Factor 2*f**2/3 + 1324*f/3 - 2656/3.
2*(f - 2)*(f + 664)/3
Determine m, given that 2*m**3 - 1768*m**2 + 3530*m - 1764 = 0.
1, 882
Factor 5*t**3/4 - 565*t**2/4 + 4320*t - 18225.
5*(t - 54)**2*(t - 5)/4
Suppose 2*z**2/7 - 1368*z/7 - 1370/7 = 0. What is z?
-1, 685
Determine c so that -3*c**4/2 + 51*c**3/2 + 237*c**2/2 + 309*c/2 + 63 = 0.
-2, -1, 21
Determine a, given that 3*a**5/7 + 12*a**4/7 + 3*a**3/7 - 6*a**2 - 60*a/7 - 24/7 = 0.
-2, -1, 2
Solve 10*q**4 + 14*q**3 - 16*q**2 - 8*q = 0.
-2, -2/5, 0, 1
Let 4*d**2 - 4080*d + 1040400 = 0. What is d?
510
Determine f, given that 5*f**5 + 30*f**4 + 65*f**3