0*q**4/3 + q**3/3 + 500*q**2/3 - q/6 - 250/3 = 0?
-500, -1, 1
Solve -4*b**3/5 - 24*b**2/5 = 0 for b.
-6, 0
Factor -2*w**2/3 + 70*w/3 - 68/3.
-2*(w - 34)*(w - 1)/3
Factor -2*f**2 + 126*f + 536.
-2*(f - 67)*(f + 4)
Suppose 2*i**3/11 + 48*i**2/11 + 202*i/11 + 228/11 = 0. What is i?
-19, -3, -2
Factor 2*q**3/13 - 478*q**2/13.
2*q**2*(q - 239)/13
Factor z**3 - 191*z**2/5.
z**2*(5*z - 191)/5
Suppose -300*z**2/7 + 1140*z/7 - 1083/7 = 0. Calculate z.
19/10
Let -5*z**3 - 45*z**2 + 80*z + 720 = 0. What is z?
-9, -4, 4
Determine t so that 2*t**3 + 204*t**2 + 402*t + 200 = 0.
-100, -1
Suppose -3*l**2/8 + 135*l/8 - 297/2 = 0. Calculate l.
12, 33
Let 2*r**3 - 26*r**2 + 84*r = 0. What is r?
0, 6, 7
Determine x, given that -x**3/4 + 19*x**2/4 - 26*x + 44 = 0.
4, 11
Factor 2*k**3/11 - 10*k**2 + 1456*k/11 + 1568/11.
2*(k - 28)**2*(k + 1)/11
Factor -u**2 + 52*u + 348.
-(u - 58)*(u + 6)
Let 4*a**2 + 352*a + 4380 = 0. What is a?
-73, -15
Solve 2*u**5 + 52*u**4/7 - 30*u**3/7 - 220*u**2/7 - 104*u/7 + 48/7 = 0 for u.
-3, -2, -1, 2/7, 2
Determine d so that -d**2/2 - 177*d = 0.
-354, 0
Factor -4*a**4 - 14*a**3 - 14*a**2 - 4*a.
-2*a*(a + 1)*(a + 2)*(2*a + 1)
Factor l**2/2 - 435*l + 189225/2.
(l - 435)**2/2
Solve 2*u**2/5 + 6*u + 112/5 = 0.
-8, -7
Determine c so that 28*c**5 - 1448*c**4 - 500*c**3 + 4288*c**2 + 4144*c + 832 = 0.
-1, -2/7, 2, 52
Suppose -f**2/2 + 95*f/2 + 48 = 0. What is f?
-1, 96
Factor 2*y**3/7 - 6*y**2 + 16*y - 72/7.
2*(y - 18)*(y - 2)*(y - 1)/7
Factor 2*k**2 + 720*k.
2*k*(k + 360)
Factor 2*s**4/7 + 2*s**3 - 20*s**2/7 - 32*s/7.
2*s*(s - 2)*(s + 1)*(s + 8)/7
Factor 2*k**2/3 - 170*k/3 + 56.
2*(k - 84)*(k - 1)/3
Let -x**3 + 270*x**2 - 17952*x - 36992 = 0. What is x?
-2, 136
Find x, given that 4*x**2 + 15448*x + 14915044 = 0.
-1931
Let w**2/7 + 1702*w/7 + 724201/7 = 0. Calculate w.
-851
Factor 3*t**3/8 - 51*t**2/8 + 30*t - 24.
3*(t - 8)**2*(t - 1)/8
Determine t so that 4*t**2 - 444*t = 0.
0, 111
Find m, given that -24*m**5 - 76*m**4 - 72*m**3 - 20*m**2 = 0.
-5/3, -1, -1/2, 0
Solve -n**2/4 - 14*n - 196 = 0.
-28
Factor -o**2/3 - 13*o/3 + 68/3.
-(o - 4)*(o + 17)/3
Factor -2*n**2/13 + 70*n/13 + 588/13.
-2*(n - 42)*(n + 7)/13
Let -h**4 - 125*h**3 - 608*h**2 - 964*h - 480 = 0. Calculate h.
-120, -2, -1
Factor 2*l**3 - 4*l**2 - 22*l + 24.
2*(l - 4)*(l - 1)*(l + 3)
Find d, given that -3*d**2/2 - 39*d - 507/2 = 0.
-13
Find r such that 4*r**4/9 - 12464*r**3/9 + 3232328*r**2/3 + 19431376*r/9 + 9721924/9 = 0.
-1, 1559
Factor -r**5 - 176*r**4 - 6616*r**3 + 99264*r**2 - 318096*r.
-r*(r - 6)**2*(r + 94)**2
Let -82*g**3/9 + 244*g**2/9 - 158*g/9 - 4/9 = 0. Calculate g.
-1/41, 1, 2
What is t in 5*t**5/4 + 5*t**4/4 - 75*t**3/4 - 25*t**2/4 + 85*t/2 + 30 = 0?
-4, -1, 2, 3
Factor 2*b**2/5 + 518*b/5.
2*b*(b + 259)/5
Let -18*q**4/7 + 180*q**3/7 - 24*q**2 + 164*q/21 - 6/7 = 0. What is q?
1/3, 9
Factor -3*i**2 + 189*i + 192.
-3*(i - 64)*(i + 1)
Factor 3*p**4 + 42*p**3 + 63*p**2 - 108*p.
3*p*(p - 1)*(p + 3)*(p + 12)
Factor u**2 + 112*u - 464.
(u - 4)*(u + 116)
Let 12*p**3 + 576*p**2 + 567*p + 141 = 0. Calculate p.
-47, -1/2
Suppose o**5/5 - 12*o**4/5 - 8*o**3/5 + 96*o**2/5 + 16*o/5 - 192/5 = 0. What is o?
-2, 2, 12
Factor 10*g**2 - 115*g - 195.
5*(g - 13)*(2*g + 3)
Factor -3*l**3 - 3*l**2 + 51*l - 45.
-3*(l - 3)*(l - 1)*(l + 5)
Factor 4*x**2 + 376*x + 1440.
4*(x + 4)*(x + 90)
Factor k**2/3 + 26*k/3 - 9.
(k - 1)*(k + 27)/3
Solve -68*c**3 + 92*c**2 - 24*c = 0 for c.
0, 6/17, 1
Factor -4*w**4 + 52*w**3 - 184*w**2 + 192*w.
-4*w*(w - 8)*(w - 3)*(w - 2)
Factor -3*s**2 + 3582*s - 1069227.
-3*(s - 597)**2
Suppose -t**4 - 293*t**3 - 20091*t**2 + 202793*t - 182408 = 0. Calculate t.
-151, 1, 8
Find d, given that d**4/2 + 43*d**3/2 + 170*d**2 - 1344*d + 1152 = 0.
-24, 1, 4
Factor -5*x**2 + 2400*x - 288000.
-5*(x - 240)**2
Solve 14*n**4/5 - 32*n**3/5 - 6*n**2/5 + 32*n/5 - 8/5 = 0 for n.
-1, 2/7, 1, 2
Factor -4*k**4 + 4*k**3 + 132*k**2 + 236*k + 112.
-4*(k - 7)*(k + 1)**2*(k + 4)
Factor -j**2/2 + 340*j - 679/2.
-(j - 679)*(j - 1)/2
Factor d**2 - 1528*d + 583696.
(d - 764)**2
Factor -u**5/5 - 7*u**4/5 + 8*u**3/5.
-u**3*(u - 1)*(u + 8)/5
Determine j so that -j**4/6 - 10*j**3 - 650*j**2/3 - 2000*j - 20000/3 = 0.
-20, -10
Factor -f**5/6 + f**3/2 + f**2/3.
-f**2*(f - 2)*(f + 1)**2/6
Let -2*l**5/3 - 16*l**4/3 - 4*l**3 + 16*l**2/3 + 14*l/3 = 0. Calculate l.
-7, -1, 0, 1
Factor -4*l**4 + 16*l**2.
-4*l**2*(l - 2)*(l + 2)
Find n such that 30*n**5 - 2514*n**4/5 + 11088*n**3/5 - 1992*n**2/5 - 20352*n/5 - 4608/5 = 0.
-1, -6/25, 2, 8
Factor -5*y**4 - 730*y**3 + 2220*y**2 - 2230*y + 745.
-5*(y - 1)**3*(y + 149)
Factor -v**4 - 9*v**3 - 10*v**2 + 36*v + 56.
-(v - 2)*(v + 2)**2*(v + 7)
Factor 4*i**3 - 76*i**2 + 312*i.
4*i*(i - 13)*(i - 6)
Let g**3 + 4*g**2 - 12*g = 0. Calculate g.
-6, 0, 2
Factor 2*u**3/5 + 52*u**2/5 + 142*u/5 + 92/5.
2*(u + 1)*(u + 2)*(u + 23)/5
Determine b, given that -b**2/3 - 86*b - 5547 = 0.
-129
What is f in 4*f**5/3 - 8*f**4 + 20*f**3/3 = 0?
0, 1, 5
Determine j, given that -3*j**2/4 - 81*j/4 - 165/2 = 0.
-22, -5
Determine r so that 2*r**4 + 8*r**3/3 - 34*r**2/3 - 4*r = 0.
-3, -1/3, 0, 2
Factor -3*w**2 + 126*w + 129.
-3*(w - 43)*(w + 1)
Find w such that -16*w**5/15 + 122*w**4/15 - 44*w**3/5 - 18*w**2 = 0.
-1, 0, 3, 45/8
Solve -v**4 - v**3 + v**2 + v = 0 for v.
-1, 0, 1
Solve -2*k**5/3 + 166*k**4/3 - 1174*k**3 + 3034*k**2/3 + 6724*k/3 = 0 for k.
-1, 0, 2, 41
Factor 3*m**3/4 + 197*m**2/4 + 501*m/4 - 189/4.
(m + 3)*(m + 63)*(3*m - 1)/4
Factor -2*z**2/13 - 320*z/13 + 648/13.
-2*(z - 2)*(z + 162)/13
Determine p so that 6*p**5 - 48*p**4/5 - 456*p**3/5 - 372*p**2/5 + 426*p/5 + 84 = 0.
-2, -7/5, -1, 1, 5
Suppose 5*v**2 - 630*v + 19845 = 0. What is v?
63
Let 2*i**4/19 - 472*i**3/19 + 41772*i**2/19 - 1643032*i/19 + 24234722/19 = 0. Calculate i.
59
Suppose -f**5/2 + 11*f**4/4 + 26*f**3 + 181*f**2/4 + 33*f/2 = 0. Calculate f.
-3, -2, -1/2, 0, 11
Solve 4*x**2/5 + 1076*x/5 + 1072/5 = 0 for x.
-268, -1
Factor w**4/4 + 167*w**3/4 + 495*w**2/4 + 493*w/4 + 41.
(w + 1)**3*(w + 164)/4
Factor 4*m**3 + 4*m**2 - 8*m.
4*m*(m - 1)*(m + 2)
Solve -14*l**3 - 306*l**2 - 1012*l - 720 = 0.
-18, -20/7, -1
Factor -t**3/6 - 53*t**2/6 - 455*t/6 - 1075/6.
-(t + 5)**2*(t + 43)/6
Factor 3*i**4 - 177*i**3 + 477*i**2 + 1497*i + 840.
3*(i - 56)*(i - 5)*(i + 1)**2
Factor q**2 + 3*q/2 - 1.
(q + 2)*(2*q - 1)/2
Factor 3*h**2 - 45*h - 48.
3*(h - 16)*(h + 1)
Factor -5*k**2 + 1740*k + 1745.
-5*(k - 349)*(k + 1)
Factor -x**4/10 - x**3/10 + 2*x**2/5 + 2*x/5.
-x*(x - 2)*(x + 1)*(x + 2)/10
Suppose -5*n**2 + 15*n = 0. Calculate n.
0, 3
Find v, given that 2*v**2/7 - 18*v/7 - 272/7 = 0.
-8, 17
Find u such that -2*u**2/3 + 190*u/3 = 0.
0, 95
What is j in 20*j**3 + 888*j**2 - 3488*j - 1536 = 0?
-48, -2/5, 4
Let h**2 - 15*h = 0. Calculate h.
0, 15
Factor 2*t**4/3 - 30*t**3 + 592*t**2/3.
2*t**2*(t - 37)*(t - 8)/3
Solve -2*r**4/7 + 136*r**3/7 - 646*r**2/7 + 1016*r/7 - 72 = 0.
1, 2, 63
What is w in 9*w**4/5 + 186*w**3 + 24637*w**2/5 + 6324*w + 10404/5 = 0?
-51, -2/3
Factor u**2/2 + 274*u + 37538.
(u + 274)**2/2
Determine g, given that -4*g**2/7 + 2*g + 30/7 = 0.
-3/2, 5
Factor -4*i**4 + 8*i**2 - 4.
-4*(i - 1)**2*(i + 1)**2
Factor -3*j**3 - 81*j**2 - 78*j.
-3*j*(j + 1)*(j + 26)
Factor 2*u**3/13 + 8*u**2/13 - 22*u/13 + 12/13.
2*(u - 1)**2*(u + 6)/13
Determine z so that -28*z**3 + 9472*z**2 + 16336*z - 5440 = 0.
-2, 2/7, 340
Factor -5*i**3 + 25*i**2.
-5*i**2*(i - 5)
Factor -4*l**3 - 12*l**2 - 9*l.
-l*(2*l + 3)**2
Solve -3*v**3 + 57*v**2 - 192*v + 180 = 0 for v.
2, 15
What is x in x**5 - 2*x**4 - 3*x**3 + 4*x**2 + 4*x = 0?
-1, 0, 2
Determine w, given that -2*w**5/5 + 14*w**4/5 + 4*w**3/5 - 28*w**2/5 - 2*w/5 + 14/5 = 0.
-1, 1, 7
Factor -2*k**4 - 10*k**3 - 4*k**2 + 16*k.
-2*k*(k - 1)*(k + 2)*(k + 4)
What is j in -4*j**5 + 5*j**4 + 10*j**3 - 5*j**2 - 6*j = 0?
-1, -3/4, 0, 1, 2
Factor -2*c**4/11 + 344*c**3/11 - 20160*c**2/11 + 426496*c/11 - 1404928/11.
-2*(c - 56)**3*(c - 4)/11
What is d in -d**3/3 + 241*d**2/3 + 485*d/3 + 81 = 0?
-1, 243
Suppose -90*h**5 - 1776*h**4 - 14498*h**3/5 - 8348*h**2/5 - 376*h - 144/5 = 0. Calculate h.
-18, -2/3, -1/5
Factor -3*g**4/7 + 1290*g**3/7 - 137379*g**2/7 - 278640*g/7 - 139968/7.
-3*(g - 216)**2*(g + 1)**2/7
Factor -y**2 + 3*y + 18.
-(y - 6)*(y + 3)
Solve -o**4 + 20*o**3 + 190*o**2 - 20*o - 189 = 0.
-7, -1, 1, 27
Suppo