 48*p = 0.
-6, -1, 0, 1, 2
Factor 2*p**3/3 + 4*p**2/3 - 2*p/3 - 4/3.
2*(p - 1)*(p + 1)*(p + 2)/3
Factor -139*n**2/2 - 555*n + 8.
-(n + 8)*(139*n - 2)/2
Factor -2*t**2 - 652*t - 53138.
-2*(t + 163)**2
Find h such that 24*h**5 - 28*h**4 - 112*h**3 + 132*h**2 + 64*h - 80 = 0.
-2, -5/6, 1, 2
Solve 2*t**2 - 1088*t + 147968 = 0 for t.
272
Factor 3*m**4/5 + 897*m**3/5 + 894*m**2/5.
3*m**2*(m + 1)*(m + 298)/5
Find j, given that -2*j**4/7 - 4*j**3/7 + 128*j**2/7 + 4*j/7 - 18 = 0.
-9, -1, 1, 7
Factor 3*y**4/5 - 12*y**3/5 + 3*y**2 - 6*y/5.
3*y*(y - 2)*(y - 1)**2/5
Factor -2*z**2 - 6689*z/2 - 836.
-(z + 1672)*(4*z + 1)/2
Solve h**3/5 + 6*h**2/5 + 9*h/5 = 0 for h.
-3, 0
Find u, given that -2*u**5 - 962*u**4 - 154560*u**3 - 8345600*u**2 - 8192000*u = 0.
-160, -1, 0
Solve -2*w**5/17 - 668*w**4/17 - 57098*w**3/17 - 220440*w**2/17 - 217800*w/17 = 0 for w.
-165, -2, 0
Solve -a**3 - 2*a**2 = 0 for a.
-2, 0
Suppose -4*c**2 + 1812*c + 1816 = 0. What is c?
-1, 454
Factor 2*h**2/11 + 104*h/11 + 1352/11.
2*(h + 26)**2/11
Factor -5*b**2 - 21805*b + 21810.
-5*(b - 1)*(b + 4362)
Factor o**4/3 - 29*o**3/3 + 54*o**2 - 160*o/3 - 352/3.
(o - 22)*(o - 4)**2*(o + 1)/3
Factor -2*c**2 + 106*c - 792.
-2*(c - 44)*(c - 9)
Factor -2*z**4 - 160*z**3/7 - 576*z**2/7 - 512*z/7 + 512/7.
-2*(z + 4)**3*(7*z - 4)/7
Suppose -p**2/2 - 79*p/2 - 185 = 0. What is p?
-74, -5
Factor 2*x**3/3 + 188*x**2 + 17672*x + 1661168/3.
2*(x + 94)**3/3
Factor -2*y**2 + 21376*y - 57116672.
-2*(y - 5344)**2
Let -s**4 + 204*s**3 - 9108*s**2 - 132192*s - 419904 = 0. What is s?
-6, 108
Factor -2*k**2/9 + 794*k/9.
-2*k*(k - 397)/9
Factor 3*n**4 + 37*n**3 + 12*n**2.
n**2*(n + 12)*(3*n + 1)
Solve -4*a**5 + 736*a**4/3 + 2060*a**3/3 - 256*a**2 = 0 for a.
-3, 0, 1/3, 64
Factor -2*r**2/9 - 236*r/3 - 690.
-2*(r + 9)*(r + 345)/9
Determine c so that -33*c**2/5 + 399*c/5 - 396/5 = 0.
12/11, 11
Factor 2*y**4/5 + 34*y**3/5 + 196*y**2/5 + 88*y + 336/5.
2*(y + 2)**2*(y + 6)*(y + 7)/5
Determine n so that -n**2 + 221*n + 672 = 0.
-3, 224
Suppose -18*n**5/5 - 58*n**4 + 618*n**3/5 + 66*n**2/5 - 736*n/5 + 72 = 0. What is n?
-18, -10/9, 1
What is v in -2*v**2 - 398*v + 1212 = 0?
-202, 3
Suppose -w**4 + 6*w**2 + 8*w + 3 = 0. What is w?
-1, 3
Determine r so that -r**3 + 6*r**2 - 12*r + 8 = 0.
2
Factor -3*m**2 - 402*m - 1935.
-3*(m + 5)*(m + 129)
Factor 2*z**2/13 - 138*z/13 + 1180/13.
2*(z - 59)*(z - 10)/13
Factor 3*t**3 - 1326*t**2 + 1317*t + 2646.
3*(t - 441)*(t - 2)*(t + 1)
Solve 3*o**3 - 1407*o**2 = 0 for o.
0, 469
Let -405*n**4/2 - 900*n**3 + 2060*n**2 + 1040*n + 120 = 0. What is n?
-6, -2/9, 2
Factor q**3 - 12*q**2 + 47*q - 60.
(q - 5)*(q - 4)*(q - 3)
Factor -k**4 + 53*k**3 - 153*k**2 + 151*k - 50.
-(k - 50)*(k - 1)**3
Suppose 4*s**4 + 76*s**3 + 312*s**2 + 464*s + 224 = 0. What is s?
-14, -2, -1
Factor -l**4 - 42*l**3 - 440*l**2 + 42*l + 441.
-(l - 1)*(l + 1)*(l + 21)**2
Factor -3*x**3/5 + 123*x**2/5 - 210*x - 1176/5.
-3*(x - 28)*(x - 14)*(x + 1)/5
Factor -4*j**5/3 - 20*j**4/3 + 8*j**3.
-4*j**3*(j - 1)*(j + 6)/3
Find l such that 85*l**4 + 335*l**3 + 65*l**2 - 515*l + 30 = 0.
-3, -2, 1/17, 1
Solve -2*u**3/3 + 2*u**2/3 + 52*u/3 + 16 = 0 for u.
-4, -1, 6
Solve 2*d**5 + 40*d**4 + 128*d**3 - 1076*d**2 - 3586*d - 2420 = 0 for d.
-11, -2, -1, 5
Factor -4*s**4 + 40*s**3 - 36*s**2 - 432*s + 432.
-4*(s - 6)**2*(s - 1)*(s + 3)
Factor 9*r**3 + 69*r**2 - 30*r - 48.
3*(r - 1)*(r + 8)*(3*r + 2)
Factor -22*w**3/13 + 202*w**2/13 - 36*w/13.
-2*w*(w - 9)*(11*w - 2)/13
Find z such that 4*z**3 - 104*z**2 = 0.
0, 26
Factor -2*r**2/5 - 50*r - 5432/5.
-2*(r + 28)*(r + 97)/5
Factor -4*t**4 + 96*t**3 + 12*t**2 - 280*t - 192.
-4*(t - 24)*(t - 2)*(t + 1)**2
Suppose 9*u**5 - 84*u**4 - 276*u**3 - 144*u**2 = 0. Calculate u.
-2, -2/3, 0, 12
Suppose 5*a**3 + 45*a**2 - 600*a + 1360 = 0. What is a?
-17, 4
Suppose -3*j**2 - 8736*j - 6359808 = 0. What is j?
-1456
Factor -5*t**3 + 1205*t**2 + 3660*t.
-5*t*(t - 244)*(t + 3)
Find n such that -n**2/5 + 2088*n/5 - 1089936/5 = 0.
1044
Factor -q**3 - q**2/4 + 3*q/4.
-q*(q + 1)*(4*q - 3)/4
Find r, given that -2*r**3/5 + 1614*r**2/5 - 4828*r/5 + 3216/5 = 0.
1, 2, 804
Find g such that 4*g**2 - 3016*g + 568516 = 0.
377
Find s, given that s**3 + 37*s**2 + 280*s - 1200 = 0.
-20, 3
Factor 2*z**4 - 1588*z**3/3 + 316802*z**2/9 - 69872*z/3 + 3872.
2*(z - 132)**2*(3*z - 1)**2/9
Suppose -5*i**3 - 210*i**2 - 595*i - 390 = 0. What is i?
-39, -2, -1
Factor -4*w**3 - 84*w**2 - 156*w + 3380.
-4*(w - 5)*(w + 13)**2
Find w, given that -7*w**5/4 + 37*w**4/4 + 22*w**3 - 7*w**2 = 0.
-2, 0, 2/7, 7
Factor -y**5/3 - 2*y**4 - 13*y**3/3 - 4*y**2 - 4*y/3.
-y*(y + 1)**2*(y + 2)**2/3
Factor i**2/5 + 33*i/5 - 34/5.
(i - 1)*(i + 34)/5
Factor 7*z**4/5 - 61*z**3/5 + 30*z**2 - 64*z/5 - 32/5.
(z - 4)**2*(z - 1)*(7*z + 2)/5
Suppose 10*z**5/21 - 102*z**4/7 + 1706*z**3/21 + 10762*z**2/21 - 2516*z/7 - 4624/21 = 0. Calculate z.
-4, -2/5, 1, 17
Suppose -2*c**5/7 - 6*c**4/7 - 2*c**3/7 + 6*c**2/7 + 4*c/7 = 0. Calculate c.
-2, -1, 0, 1
Suppose -2*w**3/15 + 2*w**2 - 32*w/5 + 88/15 = 0. Calculate w.
2, 11
Factor 2*d**3/21 - 16*d**2/3 + 110*d/21.
2*d*(d - 55)*(d - 1)/21
What is x in 2*x**3/7 - 60*x**2/7 + 72*x - 112 = 0?
2, 14
What is l in -5*l**3 - 10*l**2 = 0?
-2, 0
What is i in -11163*i**2 - 2928*i - 192 = 0?
-8/61
Solve 5*k**2/4 - 1585*k/4 + 395 = 0 for k.
1, 316
Factor -2*w**3/17 - 98*w**2/17 - 1584*w/17 - 8424/17.
-2*(w + 13)*(w + 18)**2/17
Factor b**4/3 + b**3/3 - b**2 - b/3 + 2/3.
(b - 1)**2*(b + 1)*(b + 2)/3
Determine x, given that -3*x**2 - 246*x - 5043 = 0.
-41
Factor -a**2 + 34*a - 93.
-(a - 31)*(a - 3)
Factor -h**2/4 + 15*h/4 - 9.
-(h - 12)*(h - 3)/4
Suppose 2*l**5/3 - 4*l**4/3 - 18*l**3 + 16*l**2/3 + 136*l/3 - 32 = 0. What is l?
-4, -2, 1, 6
Let -n**3/7 - 257*n**2/7 + 9*n/7 + 2313/7 = 0. Calculate n.
-257, -3, 3
Determine n, given that 4*n**3 - 36*n**2 - 84*n - 44 = 0.
-1, 11
Suppose 6*t**4 + 15*t**3 - 48*t**2 - 135*t - 54 = 0. Calculate t.
-3, -2, -1/2, 3
Factor j**5 + 12*j**4.
j**4*(j + 12)
Find c, given that c**4 + 206*c**3 - 1908*c**2 + 5778*c - 5805 = 0.
-215, 3
Factor -4*w**3/7 + 4*w**2 - 32*w/7 - 64/7.
-4*(w - 4)**2*(w + 1)/7
Find j such that 5*j**5 - 10*j**4 - 35*j**3 - 20*j**2 = 0.
-1, 0, 4
Factor z**2/6 - 7*z/2 - 12.
(z - 24)*(z + 3)/6
Solve -2*x**2/13 - 146*x/13 + 616/13 = 0.
-77, 4
Determine p so that -3*p**2 - 189*p - 366 = 0.
-61, -2
Let -z**5/11 - 5*z**4/11 + 3*z**3 + 81*z**2/11 - 432*z/11 + 324/11 = 0. What is z?
-6, 1, 3
Suppose -t**2/6 - 29*t + 177/2 = 0. What is t?
-177, 3
Factor -m**2/2 + 4007*m - 16056049/2.
-(m - 4007)**2/2
Factor -t**2/6 - 7*t/6 - 5/3.
-(t + 2)*(t + 5)/6
Factor c**4/5 - 88*c**2/5 - 192*c/5 + 144.
(c - 10)*(c - 2)*(c + 6)**2/5
Factor 4*r**3 + 4*r**2 - 132*r + 252.
4*(r - 3)**2*(r + 7)
Factor -2*j**2 + 114*j.
-2*j*(j - 57)
Suppose -12*m**3/11 + 14*m**2/11 + 56*m/11 + 30/11 = 0. Calculate m.
-1, -5/6, 3
Find g such that g**2/2 + 9*g/2 - 18 = 0.
-12, 3
Find b, given that b**2 + 49*b = 0.
-49, 0
Factor v**3/3 + 28*v**2/3 - v/3 - 28/3.
(v - 1)*(v + 1)*(v + 28)/3
Factor -14*g**3 - 200*g**2 + 392*g + 128.
-2*(g - 2)*(g + 16)*(7*g + 2)
Find k, given that -3*k**5 - 666*k**4 + 2697*k**3 - 3384*k**2 + 1356*k = 0.
-226, 0, 1, 2
Suppose 85*r**2 + 300*r + 135 = 0. What is r?
-3, -9/17
Factor -5*u**2/4 + 61*u/2 - 12.
-(u - 24)*(5*u - 2)/4
Determine o, given that 2*o**2 + 744*o + 69192 = 0.
-186
Factor -r**2 + 603*r.
-r*(r - 603)
Solve -w**5/3 + 13*w**4/3 + 16*w**3 + 4*w**2/3 - 64*w/3 = 0.
-2, 0, 1, 16
Solve -5*l**3/3 - 3*l**2 - l + 1/3 = 0.
-1, 1/5
Let m**2/2 + 3971*m + 15768841/2 = 0. What is m?
-3971
What is d in d**3 + 18*d**2 - 84*d + 88 = 0?
-22, 2
Solve 10*g**2/9 + 152*g - 274/9 = 0 for g.
-137, 1/5
Factor q**4 - 35*q**3 - 111*q**2 - 113*q - 38.
(q - 38)*(q + 1)**3
What is s in -s**2 + 6*s + 16 = 0?
-2, 8
Factor 7290*d**5 - 2376*d**4 - 206*d**3 - 4*d**2.
2*d**2*(5*d - 2)*(27*d + 1)**2
Factor 2*c**4 - 12*c**2 + 16*c - 6.
2*(c - 1)**3*(c + 3)
Find p such that -5*p**5 - 40*p**4 - 95*p**3 - 60*p**2 = 0.
-4, -3, -1, 0
Solve v**5 + 2*v**4 - 3*v**3 - 8*v**2 - 4*v = 0.
-2, -1, 0, 2
Let -2*b**3/7 - 4794*b**2/7 - 3830406*b/7 - 1020164798/7 = 0. Calculate b.
-799
Factor -3*r**5 + 30*r**4 + 72*r**3.
-3*r**3*(r - 12)*(r + 2)
Factor -c**5/5 + 12*c**4/5 - 48*c**3/5 + 82*c**2/5 - 63*c/5 + 18/5.
-(c - 6)*(c - 3)*(c - 1)**3/5
Let -8*t**5 - 