0. Calculate p.
-30, -3, 0
Determine f so that 2*f**2/3 + 58*f/3 + 56/3 = 0.
-28, -1
Factor 28*v**4 - 552*v**3 + 372*v**2 + 152*v.
4*v*(v - 19)*(v - 1)*(7*v + 2)
Determine x, given that -3*x**5 - 12*x**4 - 6*x**3 + 12*x**2 + 9*x = 0.
-3, -1, 0, 1
Factor -2*a**4 + 174*a**3 + 178*a**2 - 174*a - 176.
-2*(a - 88)*(a - 1)*(a + 1)**2
Determine a so that 2*a**3/11 - 6*a**2 + 502*a/11 + 570/11 = 0.
-1, 15, 19
Factor z**4/4 - 31*z**3/4 + 175*z**2/4 + 207*z/4.
z*(z - 23)*(z - 9)*(z + 1)/4
Solve g**5/4 - 3*g**3/4 - g**2/2 = 0.
-1, 0, 2
Solve -4*c**2/9 - 232*c/3 - 3364 = 0 for c.
-87
Solve y**3/3 - 684*y**2 + 467856*y - 106671168 = 0 for y.
684
Factor 4*b**2 + 284*b + 3520.
4*(b + 16)*(b + 55)
Suppose -3*p**3 + 63*p**2 - 105*p - 171 = 0. Calculate p.
-1, 3, 19
Suppose 32*l**4/3 + 752*l**3/3 - 394*l**2 + 448*l/3 - 50/3 = 0. What is l?
-25, 1/4, 1
Factor 3*n**4 + 27*n**3 + 45*n**2 + 21*n.
3*n*(n + 1)**2*(n + 7)
Let -2*o**4 + 396*o**3 + 802*o**2 - 396*o - 800 = 0. Calculate o.
-2, -1, 1, 200
Factor -4*k**4/5 - 32*k**3 - 444*k**2/5.
-4*k**2*(k + 3)*(k + 37)/5
Find p, given that 4*p**2 + 576*p + 20736 = 0.
-72
Solve -246*u**5/7 - 70*u**4 - 242*u**3/7 + 2*u**2/7 = 0 for u.
-1, 0, 1/123
Solve -10*u**4/7 + 6*u**3/7 + 54*u**2/7 + 50*u/7 + 12/7 = 0.
-1, -2/5, 3
Suppose -3*y**3 - 2475*y**2 - 680625*y - 62390625 = 0. Calculate y.
-275
Suppose -2*l**2 - 96*l + 200 = 0. What is l?
-50, 2
Suppose 26*a**4/15 + 82*a**3/15 - 92*a**2/15 - 328*a/15 - 16/5 = 0. What is a?
-3, -2, -2/13, 2
Solve 2*u**4/19 - 422*u**3/19 + 2074*u**2/19 - 2890*u/19 + 1236/19 = 0.
1, 3, 206
Factor -5*y**3 + 95*y**2 - 555*y + 945.
-5*(y - 9)*(y - 7)*(y - 3)
Factor -5*o**4 + 10*o**3 + 20*o**2 - 40*o.
-5*o*(o - 2)**2*(o + 2)
Find q, given that -q**5/5 + q**4/5 + q**3/5 - q**2/5 = 0.
-1, 0, 1
Solve -115*y**2 + 215*y + 30 = 0 for y.
-3/23, 2
Let -15*k**5 - 81*k**4 - 105*k**3 + 45*k**2 + 120*k + 36 = 0. What is k?
-3, -2, -1, -2/5, 1
Factor -2*n**4 + 2*n**2.
-2*n**2*(n - 1)*(n + 1)
Suppose 10*x**3 - 1835*x**2 - 920*x = 0. Calculate x.
-1/2, 0, 184
Let -68*j**2 + 1080*j + 128 = 0. Calculate j.
-2/17, 16
Factor 45*l**4 + 440*l**3 - 595*l**2 + 110*l.
5*l*(l - 1)*(l + 11)*(9*l - 2)
Factor 16*w**3 - 156*w**2 + 344*w + 96.
4*(w - 6)*(w - 4)*(4*w + 1)
Factor 2*k**3 - 222*k**2 - 450*k - 226.
2*(k - 113)*(k + 1)**2
Find a, given that 1002*a**4 - 2000*a**3 - 1010*a**2 + 2000*a + 8 = 0.
-1, -2/501, 1, 2
Factor q**3/2 + 26*q**2 + 621*q/2 - 729.
(q - 2)*(q + 27)**2/2
Solve -k**3/8 - 483*k**2/8 - 58563*k/8 - 58081/8 = 0.
-241, -1
Suppose -2*f**5/5 - 8*f**4/5 + 6*f**3/5 + 4*f**2 - 16*f/5 = 0. Calculate f.
-4, -2, 0, 1
Factor h**3/4 + 32*h**2 - 131*h + 132.
(h - 2)**2*(h + 132)/4
Suppose l**2 - 19*l + 34 = 0. What is l?
2, 17
Factor -20*k**3 + 25*k**2 + 35*k - 10.
-5*(k - 2)*(k + 1)*(4*k - 1)
Factor 2*f**3/9 - 212*f**2/9 + 1210*f/9 - 1000/9.
2*(f - 100)*(f - 5)*(f - 1)/9
Suppose -7*r**2 - 271*r + 78 = 0. Calculate r.
-39, 2/7
Factor -1939096223*i**3/10 + 13995081*i**2/5 - 67338*i/5 + 108/5.
-(1247*i - 6)**3/10
Let j**5/2 + 11*j**4/2 + 19*j**3/2 + 9*j**2/2 = 0. What is j?
-9, -1, 0
Find c, given that 4*c**2 + 40*c + 84 = 0.
-7, -3
Factor -5*l**4/4 - 65*l**3/4 - 225*l**2/4 + 125*l/4 + 625/2.
-5*(l - 2)*(l + 5)**3/4
Determine f so that -5*f**2/3 + 365*f/3 - 710/3 = 0.
2, 71
Let -j**5/5 - 32*j**4/5 + 34*j**3/5 + 32*j**2/5 - 33*j/5 = 0. Calculate j.
-33, -1, 0, 1
Factor -4*k**3/9 - 172*k**2/9 - 440*k/3.
-4*k*(k + 10)*(k + 33)/9
Factor -16*f**4 - 84*f**3 - 116*f**2 - 24*f.
-4*f*(f + 2)*(f + 3)*(4*f + 1)
What is w in 2*w**3 + 16*w**2 + 30*w = 0?
-5, -3, 0
Find u, given that -3*u**2 - 1053*u - 1050 = 0.
-350, -1
Factor q**2 + 2610*q + 1703025.
(q + 1305)**2
Determine z so that -10*z**5 + 55*z**4 - 55*z**3 - 120*z**2 + 180*z = 0.
-3/2, 0, 2, 3
Factor 2*s**2/3 + 12*s - 38/3.
2*(s - 1)*(s + 19)/3
What is n in 9*n**4 + 15*n**3 + 3*n**2 - 3*n = 0?
-1, 0, 1/3
Let -3*r**2 + 1131*r = 0. Calculate r.
0, 377
What is w in 2*w**5 - 12*w**4 + 22*w**3 - 4*w**2 - 24*w + 16 = 0?
-1, 1, 2
Factor -2*m**3/11 - 142*m**2/11 + 444*m/11.
-2*m*(m - 3)*(m + 74)/11
Suppose 2*i**2 - 88*i - 90 = 0. What is i?
-1, 45
Factor -3*v**3 + 48*v**2 + 51*v.
-3*v*(v - 17)*(v + 1)
Factor -4*h**3/9 - 44*h**2/3 + 16*h + 272/9.
-4*(h - 2)*(h + 1)*(h + 34)/9
Solve 12*l**2 - 213*l - 54 = 0.
-1/4, 18
Let 7*c**5/2 - 57*c**4 + 515*c**3/2 - 258*c**2 + 54*c = 0. Calculate c.
0, 2/7, 1, 6, 9
Factor 2*r**3/5 - 4*r**2/5 - 2*r/5 + 4/5.
2*(r - 2)*(r - 1)*(r + 1)/5
Factor 2*q**2/9 - 32*q/3 + 352/9.
2*(q - 44)*(q - 4)/9
Factor 109503*n**4 - 223767*n**3 + 9591*n**2 - 415*n/3 + 2/3.
(n - 2)*(69*n - 1)**3/3
Factor 2*o**4 + 88*o**3 + 538*o**2 - 1348*o + 720.
2*(o - 1)**2*(o + 10)*(o + 36)
Factor 3*p**4 + 58*p**3 + 331*p**2 + 632*p + 176.
(p + 4)**2*(p + 11)*(3*p + 1)
Factor -48*m**3 + 72*m**2 + 405*m - 729.
-3*(m + 3)*(4*m - 9)**2
Suppose 9*g**5/7 + 1811*g**4/7 + 825*g**3 + 6549*g**2/7 + 2972*g/7 + 396/7 = 0. Calculate g.
-198, -1, -2/9
Factor -4*p**4 + 76*p**3/5 - 108*p**2/5 + 68*p/5 - 16/5.
-4*(p - 1)**3*(5*p - 4)/5
Determine n so that -2*n**2/11 - 118*n = 0.
-649, 0
Factor 3*h**5 - 42*h**4 + 219*h**3 - 504*h**2 + 432*h.
3*h*(h - 4)**2*(h - 3)**2
Determine l so that -2*l**5 + 12*l**4 + 52*l**3 + 24*l**2 - 50*l - 36 = 0.
-2, -1, 1, 9
Let 60*k**4 + 26601*k**3 + 35730*k**2 - 31812*k + 5304 = 0. What is k?
-442, -2, 1/4, 2/5
Factor -b**2/10 + 7*b/5.
-b*(b - 14)/10
What is f in 25*f**5 - 1470*f**4 - 1811*f**3 + 648*f**2 + 724*f - 240 = 0?
-1, 2/5, 60
Factor -6*s**4 + 86*s**3 - 298*s**2 + 90*s.
-2*s*(s - 9)*(s - 5)*(3*s - 1)
Find q such that 44*q**2/3 - 200*q/3 - 192 = 0.
-2, 72/11
Factor -q**3/6 - 1501*q**2/6 + 3005*q/6 - 501/2.
-(q - 1)**2*(q + 1503)/6
Factor 25*z**3 - 170*z**2 + 145*z.
5*z*(z - 1)*(5*z - 29)
Factor -n**2 + 5*n + 24.
-(n - 8)*(n + 3)
Solve -4*h**2 - 104*h - 676 = 0.
-13
Suppose -4*a**5 + 176*a**4 + 364*a**3 + 184*a**2 = 0. Calculate a.
-1, 0, 46
Suppose x**4/2 - 1043*x**3/2 - 2089*x**2/2 - 1045*x/2 = 0. What is x?
-1, 0, 1045
Suppose 3*q**4 - 30*q**3 + 48*q**2 + 270*q - 675 = 0. What is q?
-3, 3, 5
Factor 6*o**3/5 - 702*o**2 + 136890*o - 8897850.
6*(o - 195)**3/5
Factor 2*l**2 + 426*l + 844.
2*(l + 2)*(l + 211)
Let 45*c**5 + 345*c**4 + 620*c**3 - 880*c**2 - 3200*c - 2000 = 0. Calculate c.
-10/3, -2, -1, 2
Factor -5*g**2/7 + 4*g + 12/7.
-(g - 6)*(5*g + 2)/7
Suppose -3*j**3/2 + 219*j**2/2 - 804*j + 1560 = 0. What is j?
4, 65
What is x in 2*x**2/17 - 56*x/17 + 104/17 = 0?
2, 26
Factor -2*n**2 - 836*n + 838.
-2*(n - 1)*(n + 419)
Find p, given that 4*p**2 + 52*p - 272 = 0.
-17, 4
Let q**5 - 18*q**4 + 85*q**3 - 168*q**2 + 148*q - 48 = 0. What is q?
1, 2, 12
Suppose 20*b**4 - 405*b**3 + 1380*b**2 - 320*b = 0. Calculate b.
0, 1/4, 4, 16
Find y, given that 5*y**4 - 5700*y**3 + 1630190*y**2 - 3243300*y + 1618805 = 0.
1, 569
Factor 4*a**3 + 84*a**2 + 56*a - 480.
4*(a - 2)*(a + 3)*(a + 20)
Let 16*l**5/5 + 93*l**4/5 - 258*l**3/5 + 173*l**2/5 - 24*l/5 = 0. What is l?
-8, 0, 3/16, 1
Let 2*j**5/7 - 144*j**4/7 - 936*j**3/7 = 0. What is j?
-6, 0, 78
Factor -z**3 - 20*z**2.
-z**2*(z + 20)
Factor 2*f**3/5 + 648*f**2/5 + 69984*f/5 + 2519424/5.
2*(f + 108)**3/5
Suppose 2*k**5 + 77*k**4/2 + 475*k**3/2 + 569*k**2 + 448*k + 80 = 0. What is k?
-10, -4, -1, -1/4
Let m**3 + 918*m**2 + 280908*m + 28652616 = 0. Calculate m.
-306
Factor 2*k**5 - 64*k**4 + 444*k**3 + 1088*k**2 + 578*k.
2*k*(k - 17)**2*(k + 1)**2
Find q such that q**3 - 47*q**2 - q + 47 = 0.
-1, 1, 47
Factor 5*j**2 + 10*j - 40.
5*(j - 2)*(j + 4)
Factor -m**4/3 - 26*m**3/3 - 47*m**2 + 364*m/3 - 196/3.
-(m - 1)**2*(m + 14)**2/3
Suppose 6*w**4 - 95*w**3 + 158*w**2 - 55*w - 14 = 0. Calculate w.
-1/6, 1, 14
Let 2*u**3/7 + 2*u**2/7 - 16*u = 0. Calculate u.
-8, 0, 7
Suppose -3*c**4 + 21*c**3 - 15*c**2 - 21*c + 18 = 0. Calculate c.
-1, 1, 6
Determine j, given that 2*j**3/5 + 2484*j**2/5 + 1028376*j/5 + 141915888/5 = 0.
-414
Suppose -3*h**4 + 78*h**3 - 63*h**2 - 312*h + 300 = 0. Calculate h.
-2, 1, 2, 25
Factor t**2/3 - 23*t/3 + 44.
(t - 12)*(t - 11)/3
Factor -716*y**3 - 728*y**2 - 12*y.
-4*y*(y + 1)*(179*y + 3)
Factor -5*h**2 + 2785*h - 2780.
-5*(h - 556)*(h - 1)
Solve 4*x**2/7 + 576*x/7 + 20736/7 = 0.
-72
Solve 10*b**4 - 116*b**3 - 198*b**2 + 200*b + 104 = 0.
-2, -2/5, 1, 13
Factor -15125*w**2 + 550*w - 5.
-5*(55*w - 1)**2
Determine n, gi