 1
Let -g**3/3 + 3*g**2 + 12*g = 0. Calculate g.
-3, 0, 12
Factor -s**4/2 - 29*s**3/2 - 80*s**2 + 384*s.
-s*(s - 3)*(s + 16)**2/2
Factor -2*s**2/11 + 38*s/11 + 184/11.
-2*(s - 23)*(s + 4)/11
Solve -2*t**2/13 - 272*t/13 - 270/13 = 0 for t.
-135, -1
Factor 2*t**2/11 - 2680*t/11 + 2678/11.
2*(t - 1339)*(t - 1)/11
Solve -3*o**2 + 126*o - 1320 = 0 for o.
20, 22
Factor 2*m**5 - 208*m**4 + 7346*m**3 - 92684*m**2 + 164152*m - 78608.
2*(m - 34)**3*(m - 1)**2
Factor -l**5/5 + 7*l**4/5 - 18*l**3/5 + 22*l**2/5 - 13*l/5 + 3/5.
-(l - 3)*(l - 1)**4/5
Suppose i**2/4 + 11*i/4 + 9/2 = 0. Calculate i.
-9, -2
Factor b**3/2 - 3*b**2/2 + b.
b*(b - 2)*(b - 1)/2
Factor a**2/4 + 7*a/2 + 49/4.
(a + 7)**2/4
Factor 4*g**4 - 4*g**2.
4*g**2*(g - 1)*(g + 1)
Find z such that 4*z**4/3 + 16*z**3 + 56*z**2 + 80*z/3 - 100 = 0.
-5, -3, 1
Determine b so that -4*b**3 - 562*b**2 - 280*b = 0.
-140, -1/2, 0
Factor 10*z**4 + 55*z**3 - 105*z**2 + 5*z + 35.
5*(z - 1)**2*(z + 7)*(2*z + 1)
Factor d**2/2 - 16*d - 33/2.
(d - 33)*(d + 1)/2
What is w in 2738*w**4/13 - 11988*w**3/13 + 4242*w**2/13 - 392*w/13 = 0?
0, 7/37, 4
Solve 3*c**4 - 2778*c**3 + 637527*c**2 + 2583540*c + 2594700 = 0 for c.
-2, 465
Solve 30*r**5 + 254*r**4 + 2544*r**3/5 + 2064*r**2/5 + 736*r/5 + 96/5 = 0.
-6, -1, -2/3, -2/5
Factor -d**2/7 - 34*d/7 - 93/7.
-(d + 3)*(d + 31)/7
Solve b**4/4 - 3*b**3/2 + 27*b/2 - 81/4 = 0 for b.
-3, 3
Factor -s**2 - 50*s + 51.
-(s - 1)*(s + 51)
What is q in q**4/3 + 27*q**3 + 585*q**2 + 1521*q = 0?
-39, -3, 0
Factor -3*r**4 - 72*r**3 - 591*r**2 - 1890*r - 1944.
-3*(r + 2)*(r + 4)*(r + 9)**2
Let 5*t**3/4 + 325*t**2/4 + 315*t/2 = 0. Calculate t.
-63, -2, 0
Determine i, given that i**5 + 8*i**4 + 5*i**3 - 50*i**2 = 0.
-5, 0, 2
Factor -3*m**5 - 27*m**4 + 324*m**2.
-3*m**2*(m - 3)*(m + 6)**2
Let -w**5/3 + 8*w**4/3 + 11*w**3 + 4*w**2/3 - 44*w/3 = 0. What is w?
-2, 0, 1, 11
Find u such that 16*u**4 + 976*u**3 + 13876*u**2 - 30744*u + 15876 = 0.
-63/2, 1
What is x in -2*x**3/3 - 326*x**2/3 = 0?
-163, 0
Find k, given that 5*k**5/3 + 25*k**4/3 + 20*k**3/3 - 80*k**2/3 - 160*k/3 - 80/3 = 0.
-2, -1, 2
Factor 2*x**2/5 + 150*x.
2*x*(x + 375)/5
Solve -3*t**4 + 15*t**3 + 75*t**2 - 15*t - 72 = 0.
-3, -1, 1, 8
Factor -35*y**5 - 60*y**4 + 20*y**3.
-5*y**3*(y + 2)*(7*y - 2)
Factor -a**2 - 5146*a - 6620329.
-(a + 2573)**2
Find m such that 2*m**2/23 - 3896*m/23 + 1897352/23 = 0.
974
Solve 8*m**3 + 42*m**2 - 102*m - 28 = 0.
-7, -1/4, 2
Suppose -v**3/2 - 15*v**2 - 150*v - 500 = 0. Calculate v.
-10
Solve 111*f**3 - 438*f**2 - 579*f - 30 = 0 for f.
-1, -2/37, 5
What is f in 48*f**3 + 132*f**2 - 216*f - 135 = 0?
-15/4, -1/2, 3/2
Determine s so that -s**4 - 207*s**3 - 10608*s**2 + 10816*s = 0.
-104, 0, 1
Factor -5*q**2/6 - 92*q/3 + 37/6.
-(q + 37)*(5*q - 1)/6
Suppose 3*x**4/2 - 111*x**3/2 + 201*x**2/2 + 315*x/2 = 0. Calculate x.
-1, 0, 3, 35
Find r, given that 10*r**3 + 65*r**2 + 25*r - 30 = 0.
-6, -1, 1/2
Find n such that 3*n**2 - 198*n + 195 = 0.
1, 65
Determine d, given that 5*d**2 + 300*d - 945 = 0.
-63, 3
Factor 2*g**3/9 + 32*g**2/9 - 110*g/9 + 76/9.
2*(g - 2)*(g - 1)*(g + 19)/9
Factor -192*y**4 + 10512*y**3 - 7803*y**2 + 1458*y.
-3*y*(y - 54)*(8*y - 3)**2
What is q in -q**4 - 7*q**3 + 30*q**2 = 0?
-10, 0, 3
What is x in -324*x**5 + 828*x**4 + 740*x**3 - 780*x**2 - 416*x - 48 = 0?
-1, -2/9, 1, 3
Suppose 2*o**4/7 + 14*o**3 + 84*o**2 = 0. What is o?
-42, -7, 0
Find l such that -5*l**4 + 815*l**3 - 32800*l**2 - 33620*l = 0.
-1, 0, 82
Solve 2*d**4/11 + 456*d**3/11 + 28172*d**2/11 + 248520*d/11 + 594050/11 = 0 for d.
-109, -5
Find z, given that 70*z**5 + 718*z**4 + 2426*z**3 + 3290*z**2 + 1872*z + 360 = 0.
-5, -3, -1, -6/7, -2/5
Factor -5*w**3/3 + 5*w**2 + 1520*w/3 - 1020.
-5*(w - 18)*(w - 2)*(w + 17)/3
Factor 2*i**2 - 4700*i/7 - 192.
2*(i - 336)*(7*i + 2)/7
Factor -j**3 + 117*j**2 - 3480*j + 3364.
-(j - 58)**2*(j - 1)
Factor -2*b**3 + 2454*b**2 - 1003686*b + 136835858.
-2*(b - 409)**3
Factor -2*u**5/17 + 140*u**4/17 + 580*u**3/17 + 880*u**2/17 + 590*u/17 + 148/17.
-2*(u - 74)*(u + 1)**4/17
Determine f, given that f**2 - 100*f + 2500 = 0.
50
Factor -2*d**3/7 + 460*d**2 + 6446*d/7 + 3224/7.
-2*(d - 1612)*(d + 1)**2/7
Suppose 2*u**3/11 + 522*u**2/11 + 45414*u/11 + 1317006/11 = 0. What is u?
-87
Find w such that -5*w**3 - 650*w**2 - 20460*w + 43560 = 0.
-66, 2
Find a, given that 3*a**3/4 - 39*a**2/4 - 99*a/4 + 135/4 = 0.
-3, 1, 15
Factor 2*q**2/17 + 4752*q/17 - 9512/17.
2*(q - 2)*(q + 2378)/17
Determine k, given that 14*k**5/11 + 24*k**4/11 - 218*k**3/11 - 444*k**2/11 + 144*k/11 = 0.
-3, 0, 2/7, 4
Suppose -48*m**5 + 224*m**4 + 132*m**3 - 1476*m**2 + 280*m + 2400 = 0. What is m?
-2, -4/3, 5/2, 3
Factor 2*l**3 - 18*l**2 - 44*l + 240.
2*(l - 10)*(l - 3)*(l + 4)
Let 5*v**5 - 30*v**4 - 60*v**3 + 190*v**2 - 105*v = 0. Calculate v.
-3, 0, 1, 7
Factor x**4 - 6*x**3 - 207*x**2 + 648*x + 11664.
(x - 12)**2*(x + 9)**2
Factor 6*g**2 + 2*g - 4.
2*(g + 1)*(3*g - 2)
Factor 3*g**3 + 14193*g**2 + 22382361*g + 11765661099.
3*(g + 1577)**3
Find l such that -2*l**5 - 8*l**4 - 4*l**3 + 8*l**2 + 6*l = 0.
-3, -1, 0, 1
Let -39*l**3 + 30*l**2 + 87*l + 18 = 0. What is l?
-1, -3/13, 2
Determine j, given that -5*j**2 + 260*j - 2400 = 0.
12, 40
Solve -j**4/3 - 1763*j**3/3 + 1765*j**2 - 5297*j/3 + 1766/3 = 0 for j.
-1766, 1
Factor 4*m**3/3 + 120*m**2 - 496*m + 1504/3.
4*(m - 2)**2*(m + 94)/3
Suppose 2*o**4 + 196*o**3 + 4394*o**2 - 19992*o + 20808 = 0. What is o?
-51, 2
Factor -3*i**4/5 + 6432*i**3/5 - 3447552*i**2/5.
-3*i**2*(i - 1072)**2/5
Find b, given that -3*b**2 + 60*b + 63 = 0.
-1, 21
Let h**3/2 + 11*h**2 + 48*h - 144 = 0. What is h?
-12, 2
Determine j, given that -4*j**2/3 + 88*j/9 - 28/9 = 0.
1/3, 7
Let -18*y**5 + 39*y**4 + 48*y**3 - 81*y**2 - 60*y + 12 = 0. Calculate y.
-1, 1/6, 2
Factor -35*i**2 + 255*i - 70.
-5*(i - 7)*(7*i - 2)
Suppose 4*d**5 - d**4 - 28*d**3 - 17*d**2 + 6*d = 0. Calculate d.
-2, -1, 0, 1/4, 3
Factor 4*g**4 + 118*g**3 - 62*g**2 - 60*g.
2*g*(g - 1)*(g + 30)*(2*g + 1)
Factor 4*f**2 + 168*f + 1764.
4*(f + 21)**2
Determine i so that -2*i**4/7 + 12*i**3/7 - 18*i**2/7 = 0.
0, 3
Solve -3*b**3/7 + 9*b/7 + 6/7 = 0 for b.
-1, 2
Factor 3*m**2 - 15*m - 1242.
3*(m - 23)*(m + 18)
Determine z, given that 5*z**3/3 + 35*z**2/3 - 110*z - 120 = 0.
-12, -1, 6
Find x such that -3*x**4 - 48*x**3 - 189*x**2 - 276*x - 132 = 0.
-11, -2, -1
Factor -2*j**5/9 - 74*j**4/3 - 146*j**3/3 - 218*j**2/9.
-2*j**2*(j + 1)**2*(j + 109)/9
Let 3*j**3 - 117*j**2 + 609*j - 495 = 0. What is j?
1, 5, 33
Find l, given that -35*l**2/4 - l/4 + 3/2 = 0.
-3/7, 2/5
Factor 4*g**5/9 - 8*g**4/9 - 4*g**3/3.
4*g**3*(g - 3)*(g + 1)/9
Find l, given that -3*l**4 - 87*l**3 - 747*l**2 - 1677*l - 1014 = 0.
-13, -2, -1
Let -d**5/2 - 9*d**4/2 - 19*d**3/2 - 3*d**2/2 + 10*d + 6 = 0. Calculate d.
-6, -2, -1, 1
Factor -4*a**2 - 28616*a - 51179716.
-4*(a + 3577)**2
Factor 2*h**3/9 - 164*h**2/9 + 2392*h/9 + 42320/9.
2*(h - 46)**2*(h + 10)/9
Factor 2*r**3 + 134*r**2 - 4498*r + 31434.
2*(r - 13)**2*(r + 93)
Determine s so that 3*s**2/2 + 2355*s + 1848675/2 = 0.
-785
Factor -2*k**3/7 + 16*k**2/7 + 8*k/7 - 64/7.
-2*(k - 8)*(k - 2)*(k + 2)/7
Factor i**2/3 - 55*i/3.
i*(i - 55)/3
Factor -3*n**2 + 93*n - 90.
-3*(n - 30)*(n - 1)
What is n in -5*n**5/2 + 25*n**4/2 - 20*n**3 + 10*n**2 = 0?
0, 1, 2
Factor -k**2 - 10*k + 39.
-(k - 3)*(k + 13)
Factor -2*q**2/3 - 160*q/3 - 3200/3.
-2*(q + 40)**2/3
Solve 2*r**4 - 88*r**3 - 374*r**2 - 476*r - 192 = 0.
-2, -1, 48
Factor 9*g**2 + 338*g + 504.
(g + 36)*(9*g + 14)
Factor -3*y**3/10 + 43*y**2/10 + 39*y/5 + 16/5.
-(y - 16)*(y + 1)*(3*y + 2)/10
Factor -4*g**4 + 96*g**3 + 104*g**2 - 96*g - 100.
-4*(g - 25)*(g - 1)*(g + 1)**2
Factor g**3 + 26*g**2 + 169*g.
g*(g + 13)**2
Factor -148*x**4/5 + 144*x**3/5 + 4*x**2/5.
-4*x**2*(x - 1)*(37*x + 1)/5
Factor -2*g**2 + 994*g + 1996.
-2*(g - 499)*(g + 2)
Solve 5*r**4/2 + 550*r**3 + 32370*r**2 + 233200*r + 449440 = 0.
-106, -4
Let -5*b**3 - 525*b**2 = 0. Calculate b.
-105, 0
Let 2*z**2 + 6*z + 4 = 0. Calculate z.
-2, -1
Determine z, given that 4*z**2/11 - 34*z/11 + 60/11 = 0.
5/2, 6
Factor -4*r**4/3 - 88*r**3/3 + 92*r**2/3.
-4*r**2*(r - 1)*(r + 23)/3
Factor -2*a**2/23 + 318*a/23 + 320/23.
-2*(a - 160)*(a + 1)/23
Factor -w**4/4 - 8*w**3 - 64*w**2.
-w**2*(w + 16)**2/4
Factor -m**4 - 4*m**3 + 92*m**2 + 192*m - 2304.
-(m - 6)**2*(m