3 - 135*r**2 - 12*r + 180.
-3*(r - 15)*(r - 2)**2*(r + 1)
Factor -s**3/10 - 22*s**2/5 - 34*s.
-s*(s + 10)*(s + 34)/10
Find g such that -2*g**4/11 + 106*g**3/11 + 230*g**2/11 - 538*g/11 - 60 = 0.
-3, -1, 2, 55
Let -2*n**2/5 - 5352*n/5 - 3580488/5 = 0. What is n?
-1338
Solve 16*i**4/3 + 227*i**3/6 + 167*i**2/2 + 111*i/2 + 9/2 = 0 for i.
-3, -1, -3/32
Find l, given that 4*l**3 + 1112*l**2 + 2208*l = 0.
-276, -2, 0
Determine z, given that -z**5/2 + 200*z**4 - 19799*z**3 - 40200*z**2 - 40401*z/2 = 0.
-1, 0, 201
Solve 12*a**5 + 16*a**4 - 80*a**3 - 40*a**2 + 68*a + 24 = 0 for a.
-3, -1, -1/3, 1, 2
Determine d, given that 20*d**5 + 835*d**4 - 1950*d**3 + 1315*d**2 - 220*d = 0.
-44, 0, 1/4, 1
Factor -x**2 + 35*x + 36.
-(x - 36)*(x + 1)
Solve 250*o**5 + 21350*o**4 + 8380*o**3 - 10172*o**2 + 2378*o - 170 = 0 for o.
-85, -1, 1/5
Determine w so that -5*w**5/11 + 32*w**4/11 - 17*w**3/11 - 118*w**2/11 + 148*w/11 - 40/11 = 0.
-2, 2/5, 1, 2, 5
Factor -20*h**2 - 765*h - 190.
-5*(h + 38)*(4*h + 1)
Let -5*h**5 - 35*h**4 - 90*h**3 - 110*h**2 - 65*h - 15 = 0. What is h?
-3, -1
Let i**2/7 + 163*i/7 - 330/7 = 0. What is i?
-165, 2
Factor 2*b**3/3 - 14*b**2/3 + 28*b/3 - 16/3.
2*(b - 4)*(b - 2)*(b - 1)/3
Factor 2*c**5 + 200*c**4 + 6708*c**3 + 76032*c**2 - 6534*c - 862488.
2*(c - 3)*(c + 4)*(c + 33)**3
Factor 2*g**2/5 - 8/5.
2*(g - 2)*(g + 2)/5
Factor g**4/2 - 5*g**3 + 4*g**2 + 5*g - 9/2.
(g - 9)*(g - 1)**2*(g + 1)/2
Factor x**4 + 6*x**3 + 8*x**2 - 6*x - 9.
(x - 1)*(x + 1)*(x + 3)**2
Factor k**4/8 - 49*k**3/8 + 102*k**2 - 608*k + 512.
(k - 16)**3*(k - 1)/8
Find n such that 5*n**4 - 70*n**3 - 15*n**2 + 200*n + 140 = 0.
-1, 2, 14
Factor j**4/2 - 9*j**3 + 113*j**2/2 - 138*j + 90.
(j - 6)**2*(j - 5)*(j - 1)/2
Factor 57*u**2/2 - 87*u + 9/2.
3*(u - 3)*(19*u - 1)/2
Factor -5*w**2 - 7880*w + 7885.
-5*(w - 1)*(w + 1577)
Let 343*g**4/2 - 12789*g**3 + 101220*g**2 - 281200*g + 264000 = 0. Calculate g.
20/7, 66
Factor 3*n**3/4 + 885*n**2/4 - 3603*n/4 - 4485/4.
3*(n - 5)*(n + 1)*(n + 299)/4
Factor 2*s**2/3 + 28*s/3 + 80/3.
2*(s + 4)*(s + 10)/3
Suppose 2*d**4/9 - 56*d**3 + 30172*d**2/9 + 67768*d/3 - 25886 = 0. Calculate d.
-7, 1, 129
Determine m so that -m**3/8 + 19*m**2/8 - 13*m + 22 = 0.
4, 11
Solve -289*n**2 - 1326*n - 1521 = 0 for n.
-39/17
Factor -z**3 + 13*z**2 + 29*z + 15.
-(z - 15)*(z + 1)**2
Factor -2*f**5 - 72*f**4 - 572*f**3 + 1368*f**2 - 722*f.
-2*f*(f - 1)**2*(f + 19)**2
Factor -3*i**3 - 2850*i**2 + 3*i + 2850.
-3*(i - 1)*(i + 1)*(i + 950)
Solve 2*k**3 + 112*k**2 - 114*k = 0 for k.
-57, 0, 1
Let m**3/2 + 55*m**2/2 - m/2 - 55/2 = 0. Calculate m.
-55, -1, 1
Find s such that -3*s**5/7 + 3*s**4 + 6*s**3/7 - 6*s**2 - 3*s/7 + 3 = 0.
-1, 1, 7
Factor 5*s**3 - 185*s**2 + 820*s - 640.
5*(s - 32)*(s - 4)*(s - 1)
Factor -445*a**3 - 6210*a**2 - 21525*a + 980.
-5*(a + 7)**2*(89*a - 4)
Determine q so that 5*q**4 + 1930*q**3 + 186245*q**2 = 0.
-193, 0
Suppose 63*c**5 - 444*c**4 - 531*c**3 + 348*c**2 + 468*c + 96 = 0. What is c?
-1, -2/3, -2/7, 1, 8
Suppose f**4/2 - 11*f**3 + 30*f**2 - 29*f + 19/2 = 0. What is f?
1, 19
Factor -w**3 + 5*w**2 + 18*w - 72.
-(w - 6)*(w - 3)*(w + 4)
Determine w so that -5*w**2 - 4000*w - 7980 = 0.
-798, -2
Solve 113*l**2/5 + 2936*l/5 - 52/5 = 0.
-26, 2/113
Factor y**2 - 54*y + 53.
(y - 53)*(y - 1)
What is a in -a**2 - 55*a = 0?
-55, 0
Factor 10*k**3/9 + 8*k**2/3 + 2*k/9 - 4/3.
2*(k + 1)*(k + 2)*(5*k - 3)/9
Solve -j**5 + 102*j**4 - 2064*j**3 + 15488*j**2 - 39936*j = 0.
0, 8, 78
Factor 4*t**2/3 + 17312*t/3 + 18731584/3.
4*(t + 2164)**2/3
Suppose 5*i**2 + 5310*i + 1409805 = 0. What is i?
-531
Suppose -3*v**4/2 + 129*v**3/2 - 1443*v**2/2 + 1071*v/2 + 1323 = 0. What is v?
-1, 2, 21
Factor -4*d**2 - 712*d.
-4*d*(d + 178)
Factor 2*l**4/9 + 4*l**3/9 - 2*l**2/9 - 4*l/9.
2*l*(l - 1)*(l + 1)*(l + 2)/9
What is s in s**4/2 - 109*s**3/4 - 42*s**2 - s/4 + 14 = 0?
-1, 1/2, 56
Let -9*u**4/5 - 68*u**3/5 - 91*u**2/5 + 68*u/5 + 20 = 0. What is u?
-50/9, -2, -1, 1
Factor -5*v**3 + 29*v**2 + 6*v.
-v*(v - 6)*(5*v + 1)
Factor -2*w**2/17 - 4656*w/17 - 2709792/17.
-2*(w + 1164)**2/17
Suppose -j**2 + 46*j - 529 = 0. Calculate j.
23
Let -3*s**4/5 - 267*s**3/5 + 1386*s**2/5 + 390972*s/5 - 392088/5 = 0. What is s?
-62, 1, 34
Find y such that 21*y**5 - 111*y**4 - 243*y**3 - 69*y**2 + 42*y = 0.
-1, 0, 2/7, 7
Factor -2*i**2/7 + 24*i/7 - 22/7.
-2*(i - 11)*(i - 1)/7
Factor -h**2/6 + 2*h + 14/3.
-(h - 14)*(h + 2)/6
Factor 2*u**2 + 8*u - 154.
2*(u - 7)*(u + 11)
Factor u**3/8 + 22*u**2 + 7917*u/8 + 7569/4.
(u + 2)*(u + 87)**2/8
Solve 92*u**3 - 94*u**2 - 182*u + 4 = 0 for u.
-1, 1/46, 2
Factor -3*z**2 - 366*z - 1755.
-3*(z + 5)*(z + 117)
Factor 9*q**4/4 - 75*q**3/4 + 73*q**2/4 + 75*q/4 + 7/2.
(q - 7)*(q - 2)*(3*q + 1)**2/4
Determine z, given that 5*z**4 + 120*z**3 - 405*z**2 + 20*z + 540 = 0.
-27, -1, 2
Solve -m**4/4 + 15*m**3/2 + 79*m**2/4 - 111*m - 288 = 0 for m.
-3, 4, 32
Solve 14*y**5 - 1376*y**4 + 4424*y**3 - 5156*y**2 + 2474*y - 380 = 0.
2/7, 1, 95
Solve -3*s**4 + 33*s**3 - 30*s**2 = 0.
0, 1, 10
Factor 3*v**2 + 27*v + 42.
3*(v + 2)*(v + 7)
Factor -l**4/4 + 7*l**3 - 27*l**2/4.
-l**2*(l - 27)*(l - 1)/4
Factor 4*w**4 + 116*w**3 + 996*w**2 + 2236*w + 1352.
4*(w + 1)*(w + 2)*(w + 13)**2
What is d in 4*d**2/7 - 54*d/7 + 26/7 = 0?
1/2, 13
Determine i so that 3*i**5/5 + 21*i**4/5 - 603*i**3/5 - 513*i**2 + 33048*i/5 + 34992/5 = 0.
-12, -1, 9
Determine a so that 45*a**3 + 133*a**2 + 84*a - 4 = 0.
-2, -1, 2/45
Factor -8*h**5/5 + 18*h**4/5 + 18*h**3/5.
-2*h**3*(h - 3)*(4*h + 3)/5
Find a such that -4*a**2 + 8836*a + 17688 = 0.
-2, 2211
Factor -2*c**2/7 + 1038*c/7 - 148.
-2*(c - 518)*(c - 1)/7
Let -f**2/2 + f/2 + 6 = 0. What is f?
-3, 4
Determine d, given that -38*d**2/3 + 4*d/3 = 0.
0, 2/19
Suppose b**4/3 - 16*b**3/3 + 80*b**2/3 - 128*b/3 = 0. What is b?
0, 4, 8
Determine v so that 21*v**5 - 3*v**4 - 21*v**3 + 3*v**2 = 0.
-1, 0, 1/7, 1
Solve -169*q**4/4 - 559*q**3/4 - 249*q**2/2 - 29*q - 2 = 0 for q.
-2, -1, -2/13
Factor -y**3 - 43*y**2.
-y**2*(y + 43)
Factor 14*f**3 - 50*f**2 + 18*f + 18.
2*(f - 3)*(f - 1)*(7*f + 3)
Determine u, given that -228*u**2 - 724*u - 120 = 0.
-3, -10/57
Find v such that -v**3/4 - 5*v**2/2 + 175*v/4 - 125 = 0.
-20, 5
Determine j, given that -j**4/5 - 4*j**3 - 21*j**2/5 + 306*j/5 + 648/5 = 0.
-18, -3, 4
Factor -o**2/5 - 5*o + 116/5.
-(o - 4)*(o + 29)/5
Solve 4*n**5/17 + 106*n**4/17 + 414*n**3/17 + 394*n**2/17 - 50*n/17 - 132/17 = 0.
-22, -3, -1, 1/2
Factor 4*p**5 - 29*p**4 + 45*p**3.
p**3*(p - 5)*(4*p - 9)
Factor 5*n**5 - 40*n**4 + 125*n**3 - 190*n**2 + 140*n - 40.
5*(n - 2)**3*(n - 1)**2
What is y in -2*y**5 - 2*y**4 + 24*y**3 - 8*y**2 - 32*y = 0?
-4, -1, 0, 2
Suppose 18*g**4 + 624*g**3/7 + 152*g**2 + 704*g/7 + 128/7 = 0. Calculate g.
-2, -4/3, -2/7
Factor g**2/3 - 4088*g/3 + 4177936/3.
(g - 2044)**2/3
Solve 2*k**5/11 + 2*k**4 + 72*k**3/11 + 8*k**2/11 - 320*k/11 - 384/11 = 0.
-4, -3, -2, 2
Factor -t**2 - 256*t - 1255.
-(t + 5)*(t + 251)
Factor -5*a**2 - 530*a + 535.
-5*(a - 1)*(a + 107)
Suppose 5*l**3 + 2035*l**2 - 4105*l - 6135 = 0. Calculate l.
-409, -1, 3
Find k such that 4*k**3/7 + 40*k**2/7 - 148*k/7 + 104/7 = 0.
-13, 1, 2
What is u in 2*u**4 - 2*u**3 - 4*u**2 = 0?
-1, 0, 2
Factor 50*y**2/23 + 2946*y/23 - 236/23.
2*(y + 59)*(25*y - 2)/23
Find x, given that -5*x**2 + 15*x - 10 = 0.
1, 2
Solve 578*l**2/3 + 952*l/3 + 392/3 = 0.
-14/17
Determine b so that 4*b**4 + 88*b**3 = 0.
-22, 0
Factor 115*m**2 - 330*m - 45.
5*(m - 3)*(23*m + 3)
Solve -5*i**4 - 85*i**3 - 75*i**2 + 85*i + 80 = 0 for i.
-16, -1, 1
Determine x, given that 4*x**4 + 532*x**3 + 23760*x**2 + 363968*x + 340736 = 0.
-44, -1
Factor -v**5 + 7*v**4 + 9*v**3 - 7*v**2 - 8*v.
-v*(v - 8)*(v - 1)*(v + 1)**2
Find y, given that -y**4/4 + 14*y**3 - 222*y**2 + 728*y - 676 = 0.
2, 26
Find f such that 4*f**3 - 76*f**2 - 900*f + 972 = 0.
-9, 1, 27
Determine c, given that 845*c**4 - 780*c**3 - 7425*c**2 + 7020*c - 1620 = 0.
-3, 6/13, 3
Suppose -3*g**3 + 36*g**2 = 0. What is g?
0, 12
Factor -h**2 - 83*h + 84.
-(h - 1)*(h + 84)
Factor -c**3 - 28*c**2 + 784*c + 21952.
-(c - 28)*(c + 28)**2
Factor j**2/5 - 386*j/5.
j*(j - 386)/5
Let -2*f**5 - 158*f**4/9 - 44*f**3 - 64*f**2/3 + 64*f/9 = 0. What is f?
-4, -1, 0, 2/9
Factor s**3/4 - 25*s**2/4 + 123*s/4 - 171/4.
(s - 19)*(s - 3)**2/4
Factor 5*x**3 + 230*x**2 - 1515*x + 2340.
5*(x - 3)