-1, 2/13, 18
Determine s, given that 9*s**5 - 6*s**4 - 12*s**3 + 6*s**2 + 3*s = 0.
-1, -1/3, 0, 1
Suppose t**4 - 18*t**3 + 80*t**2 = 0. What is t?
0, 8, 10
Determine b, given that -2*b**4/3 - 2*b**3 + 22*b**2/3 + 2*b - 20/3 = 0.
-5, -1, 1, 2
Factor -2*z**2/5 + 468*z/5 - 27378/5.
-2*(z - 117)**2/5
Determine q, given that 4*q**5 + 8*q**4 - 20*q**3 - 24*q**2 = 0.
-3, -1, 0, 2
Factor 4*w**2 - 1112*w + 77284.
4*(w - 139)**2
Factor -2*c**3 - 376*c**2 - 746*c - 372.
-2*(c + 1)**2*(c + 186)
Suppose -x**2 - 22*x + 135 = 0. Calculate x.
-27, 5
Let -3*r**2/7 + 4548*r/7 + 4551/7 = 0. What is r?
-1, 1517
Solve -i**4/9 - 17*i**3/3 + 53*i**2/9 + 17*i/3 - 52/9 = 0 for i.
-52, -1, 1
Determine n, given that 3*n**2/4 - 12621*n/2 + 53096547/4 = 0.
4207
Let -o**4/5 + 10*o**3 - 96*o**2/5 = 0. Calculate o.
0, 2, 48
Determine c so that c**3/2 - 11*c**2/2 - 6*c = 0.
-1, 0, 12
Suppose -a**4 + 440*a**3 - 1313*a**2 + 874*a = 0. Calculate a.
0, 1, 2, 437
Factor 2*j**5/3 - 20*j**4/3 + 6*j**3.
2*j**3*(j - 9)*(j - 1)/3
Solve -25*v**5 - 20*v**4 + 330*v**3 - 620*v**2 + 455*v - 120 = 0.
-24/5, 1
Let -6*w**5/5 - 42*w**4/5 + 144*w**3 + 3216*w**2/5 - 3936*w + 4320 = 0. Calculate w.
-10, 2, 9
Factor -2*i**3/9 - 28*i**2/3 + 40*i - 368/9.
-2*(i - 2)**2*(i + 46)/9
Factor -3*a**4/2 + 30*a**3 - 150*a**2.
-3*a**2*(a - 10)**2/2
Determine s, given that -s**5/5 - 4*s**4/5 + 4*s**3 + 98*s**2/5 + 25*s + 10 = 0.
-5, -2, -1, 5
Factor 7*w**2/2 + 22157*w/2 + 3165.
(w + 3165)*(7*w + 2)/2
Factor -2*j**3/17 + 80*j**2/17.
-2*j**2*(j - 40)/17
Factor -3*y**4/5 + 31752*y**3/5 - 126023688*y**2/5 + 222305785632*y/5 - 147055277195568/5.
-3*(y - 2646)**4/5
Determine r so that -r**2 + 9*r + 10 = 0.
-1, 10
Factor -4*j**2 + 148*j - 408.
-4*(j - 34)*(j - 3)
Factor n**4 + 58*n**3 + 337*n**2 - 14616*n + 63504.
(n - 7)**2*(n + 36)**2
Suppose -2*i**3/5 - 12*i**2/5 - 16*i/5 = 0. Calculate i.
-4, -2, 0
Determine r so that 6*r**5 - 50*r**4 - 134*r**3 + 314*r**2 + 272*r - 120 = 0.
-3, -1, 1/3, 2, 10
Factor 2*k**2 - 28*k - 294.
2*(k - 21)*(k + 7)
Factor 3*g**2/7 + 834*g/7 - 837/7.
3*(g - 1)*(g + 279)/7
Solve -25*o**4/7 + 44930*o**3/7 - 20169069*o**2/7 - 16156828*o/7 - 3232804/7 = 0.
-2/5, 899
Suppose 11*j**2/6 - 245*j/2 - 67/3 = 0. What is j?
-2/11, 67
Find j, given that j**4/3 + 140*j**3/3 + 2250*j**2 + 40500*j + 151875 = 0.
-45, -5
Suppose -3*d**2 + 1398*d - 162867 = 0. What is d?
233
Factor w**3/5 + 28*w**2/5 - 25*w + 96/5.
(w - 3)*(w - 1)*(w + 32)/5
Factor -3*i**5/8 - 3*i**4/8 + 3*i**3/4.
-3*i**3*(i - 1)*(i + 2)/8
What is v in 25*v**4 + 960*v**3 + 3055*v**2 + 2820*v + 700 = 0?
-35, -2, -1, -2/5
Let -2*g**5/7 - 64*g**4/7 - 66*g**3 - 1136*g**2/7 - 736*g/7 = 0. Calculate g.
-23, -4, -1, 0
Factor -2*s**2/5 + 74*s/5 + 76/5.
-2*(s - 38)*(s + 1)/5
Solve 2*m**5/3 - 8*m**4/3 - 454*m**3/3 - 292*m**2 - 144*m = 0 for m.
-12, -1, 0, 18
Determine n so that -4*n**3/5 + 24*n**2/5 + 12*n + 32/5 = 0.
-1, 8
Factor -4*b**2 + 952*b.
-4*b*(b - 238)
Find w such that 2*w**3 - 40*w**2 - 54*w + 252 = 0.
-3, 2, 21
Determine n so that -5*n**3/4 + 6535*n**2/2 - 2138575*n + 4264090 = 0.
2, 1306
What is l in -l**2/3 + 288*l - 62208 = 0?
432
Suppose h**2/4 + 21*h/4 = 0. What is h?
-21, 0
Let -2*v**2 + 22*v - 48 = 0. What is v?
3, 8
Find v such that 2*v**3 - 18*v**2 - 132*v - 112 = 0.
-4, -1, 14
Find o such that 2*o**3 - 12*o**2 - 534*o - 520 = 0.
-13, -1, 20
Let 2*j**4/9 + 20*j**3/9 + 64*j**2/9 + 64*j/9 = 0. What is j?
-4, -2, 0
Suppose 4*t**5 - 44*t**4 + 156*t**3 - 244*t**2 + 176*t - 48 = 0. What is t?
1, 2, 6
Factor -2*a**4/3 - 474*a**3 - 1418*a**2 - 4250*a/3 - 472.
-2*(a + 1)**3*(a + 708)/3
Factor -4*j**2 + 8768*j - 4804864.
-4*(j - 1096)**2
Determine t, given that t**2 - 11148*t + 31069476 = 0.
5574
Let -108*c**3 - 1396*c**2 + 1616*c - 112 = 0. What is c?
-14, 2/27, 1
Determine y, given that y**5 + 632*y**4 + 99856*y**3 = 0.
-316, 0
Find l such that -l**5 + 4*l**4 - 10*l**2 + l + 6 = 0.
-1, 1, 2, 3
Suppose -3*i**3/2 - 81*i**2 - 306*i - 300 = 0. What is i?
-50, -2
Find q such that 2*q**5/15 - 2*q**4/15 - 2*q**3/15 + 2*q**2/15 = 0.
-1, 0, 1
Factor k**2 + 36*k + 35.
(k + 1)*(k + 35)
Let -2*o**2 - 564*o = 0. Calculate o.
-282, 0
What is y in -2*y**4/3 + 8*y**3 - 82*y**2/3 + 28*y = 0?
0, 2, 3, 7
Factor -t**2/9 - 37*t/9 + 38/9.
-(t - 1)*(t + 38)/9
Factor -3*r**4 - 63*r**3 - 222*r**2 + 1152*r - 864.
-3*(r - 2)*(r - 1)*(r + 12)**2
What is c in -8*c**5 + 298*c**4 + 1214*c**3 + 662*c**2 - 246*c = 0?
-3, -1, 0, 1/4, 41
Factor 2*u**2/3 - 558*u + 3340/3.
2*(u - 835)*(u - 2)/3
Factor -2*h**3 - 113*h**2/3.
-h**2*(6*h + 113)/3
Factor -a**3 + 23*a**2 - 130*a.
-a*(a - 13)*(a - 10)
Factor -2*n**2 - 1474*n + 2956.
-2*(n - 2)*(n + 739)
Solve 2*z**2/5 - 5822*z/5 + 1164 = 0 for z.
1, 2910
Suppose -21*a**4 + 183*a**3 - 450*a**2 + 192*a + 96 = 0. What is a?
-2/7, 1, 4
Determine c, given that -4*c**5 + 44*c**4 - 108*c**3 - 92*c**2 + 496*c - 336 = 0.
-2, 1, 2, 3, 7
Let 8*l**4 - l**3/2 - 8*l**2 + l/2 = 0. What is l?
-1, 0, 1/16, 1
Determine g so that -17*g**3/7 + 5*g**2 + 121*g/7 + 69/7 = 0.
-1, 69/17
Factor 4*f**2 + 488*f + 14884.
4*(f + 61)**2
Factor -2662*m**5/9 + 484*m**4/3 - 88*m**3/3 + 16*m**2/9.
-2*m**2*(11*m - 2)**3/9
Determine k so that 4*k**3 - 164*k**2/3 - 440*k/3 - 128/3 = 0.
-2, -1/3, 16
Find j, given that 2*j**5/7 + 16*j**4/7 + 6*j**3 + 44*j**2/7 + 16*j/7 = 0.
-4, -2, -1, 0
Factor 2*d**2/5 + 48*d/5.
2*d*(d + 24)/5
Let -15*i**3 - 215*i**2 - 240*i + 260 = 0. What is i?
-13, -2, 2/3
Let 4*v**3 - 92*v**2 + 224*v + 3920 = 0. What is v?
-5, 14
Determine k so that 20*k**3 + 172*k**2 + 88*k - 64 = 0.
-8, -1, 2/5
Factor -3*d**2/4 + 5001*d/4 - 4995/2.
-3*(d - 1665)*(d - 2)/4
Factor -326*d**3/15 - 216*d**2/5 - 106*d/5 + 4/15.
-2*(d + 1)**2*(163*d - 2)/15
What is j in -2*j**3/11 - 4*j**2 + 8*j/11 + 16 = 0?
-22, -2, 2
Let -l**3/2 + 7*l**2/2 + 69*l/2 + 117/2 = 0. What is l?
-3, 13
Solve -2*p**2 + 782*p + 1572 = 0 for p.
-2, 393
Determine r, given that -5*r**4 + 20*r**3 + 85*r**2 - 120*r - 180 = 0.
-3, -1, 2, 6
Factor -r**2/7 + 576*r/7.
-r*(r - 576)/7
Find w, given that 2*w**2/9 - 10*w/3 + 52/9 = 0.
2, 13
Factor -l**5/3 + l**4/3 + l**3/3 - l**2/3.
-l**2*(l - 1)**2*(l + 1)/3
Find o such that 10*o**3/7 - 2406*o**2/7 + 3830*o/7 - 1434/7 = 0.
3/5, 1, 239
Factor 2*h**2/5 + 64*h/5 + 54.
2*(h + 5)*(h + 27)/5
Determine z, given that -9*z**4/5 - 201*z**3/5 - 1149*z**2/5 - 231*z/5 + 726/5 = 0.
-11, -1, 2/3
Determine n so that 2*n**2 + 62*n + 116 = 0.
-29, -2
Determine n, given that n**5/4 - 21*n**4/2 + 549*n**3/4 - 568*n**2 + 765*n - 324 = 0.
1, 4, 18
Factor -3*l**4 + 15*l**3 - 24*l**2 + 12*l.
-3*l*(l - 2)**2*(l - 1)
Let -5*b**3 + 105*b**2 - 420*b + 320 = 0. Calculate b.
1, 4, 16
Factor -4*j**2 - 1108*j - 5440.
-4*(j + 5)*(j + 272)
Let 31*q**2/7 + 5*q + 4/7 = 0. What is q?
-1, -4/31
Factor -2*n**4 - 28*n**3 + 62*n**2 - 32*n.
-2*n*(n - 1)**2*(n + 16)
Solve a**3 - a**2 - 12*a = 0.
-3, 0, 4
What is f in -8*f**4/3 + 86*f**3/3 + 470*f**2/3 + 592*f/3 + 40 = 0?
-2, -1/4, 15
Factor 5*u**3 + 20*u**2 - 155*u - 350.
5*(u - 5)*(u + 2)*(u + 7)
Solve 5*u**5 + 105*u**4 - 345*u**3 + 355*u**2 - 120*u = 0 for u.
-24, 0, 1
Find x such that -x**3/5 - 14*x**2/5 - 53*x/5 - 8 = 0.
-8, -5, -1
Factor -8*x**4/7 - 16*x**3 - 106*x**2/7 - 26*x/7.
-2*x*(x + 13)*(2*x + 1)**2/7
Factor r**2/3 + 93*r + 278/3.
(r + 1)*(r + 278)/3
Factor 2*f**5/3 - 22*f**4/3 + 92*f**3/3 - 184*f**2/3 + 176*f/3 - 64/3.
2*(f - 4)*(f - 2)**3*(f - 1)/3
Factor 3*b**5 - 12*b**4 + 6*b**3 + 12*b**2 - 9*b.
3*b*(b - 3)*(b - 1)**2*(b + 1)
Factor 318*y**3 - 640*y**2 + 8*y.
2*y*(y - 2)*(159*y - 2)
Solve 5*d**2 + 245*d = 0.
-49, 0
Factor -4*p**4 - 60*p**3 - 232*p**2 - 336*p - 160.
-4*(p + 1)*(p + 2)**2*(p + 10)
Factor 8*q**3/5 + 44*q**2/5 + 16*q/5 - 4.
4*(q + 1)*(q + 5)*(2*q - 1)/5
Factor -r**5 - 48*r**4 - 295*r**3 - 312*r**2 + 656*r.
-r*(r - 1)*(r + 4)**2*(r + 41)
Let 46*s**3 - 4*s**2 - 46*s + 4 = 0. What is s?
-1, 2/23, 1
Factor 5*y**2/6 - 5*y/3.
5*y*(y - 2)/6
Let -2*t**2 - 276*t - 9522 = 0. What is t?
-69
Let 3*n**3/4 + 879*n**2/4 + 15300*n - 118125 = 0. What is n?
-150, 7
Let 4*a**4 + 228*a**3 + 4536*a**2 + 34992*a + 69984 = 0. What is a?
-18, -3
Factor 8*c**2/3 - 76*c/3 + 40.
4*(c - 2)*(2*c - 15)/3
Factor a**3 + 18*a**2 + 80*a + 96.
(a + 2)*(a + 4)*(a + 12)
Solve -k**5 + 25*k**4 - 166*k**3 + 96*k**2 + 288*k = 0 for k.
-1, 0, 2, 12
Suppose