or s.
-1, 95
Suppose 28*r**5 + 120*r**4 - 836*r**3 - 2208*r**2 - 560*r = 0. What is r?
-7, -2, -2/7, 0, 5
Let -q**2/7 + q/7 + 2/7 = 0. Calculate q.
-1, 2
Determine r, given that -3*r**4/4 + 5*r**3/2 + 15*r**2/4 - 15*r/2 + 2 = 0.
-2, 1/3, 1, 4
Determine u, given that 2*u**4/5 + 146*u**3/5 - 2*u**2/5 - 146*u/5 = 0.
-73, -1, 0, 1
Factor 8*r**5/21 - 2*r**4/21 - 4*r**3/3 - 6*r**2/7.
2*r**2*(r + 1)**2*(4*r - 9)/21
Find b such that 6*b**5 + 4*b**4 - 56*b**3 - 36*b**2 + 18*b = 0.
-3, -1, 0, 1/3, 3
Factor -t**5 + 15*t**4 - 64*t**3 + 48*t**2 + 128*t.
-t*(t - 8)*(t - 4)**2*(t + 1)
Factor -3*r**2/7 + 12*r/7 - 9/7.
-3*(r - 3)*(r - 1)/7
What is g in -5*g**5 + 20*g**4 + 5*g**3 - 20*g**2 = 0?
-1, 0, 1, 4
Factor 4*f**4 + 115*f**3 - 273*f**2 + 185*f - 31.
(f - 1)**2*(f + 31)*(4*f - 1)
Let 16*l**5/3 - 172*l**4/3 - 564*l**3 - 236*l**2/3 + 1676*l/3 + 136 = 0. What is l?
-6, -1, -1/4, 1, 17
Factor 3*s**4 + 96*s**3 + 171*s**2 - 270*s.
3*s*(s - 1)*(s + 3)*(s + 30)
Suppose 2*r**2 + 64*r + 120 = 0. Calculate r.
-30, -2
Factor -2*m**2/21 + 1430*m/21 - 1424/7.
-2*(m - 712)*(m - 3)/21
Factor -3*t**3/4 - 6453*t**2/2 - 13880403*t/4.
-3*t*(t + 2151)**2/4
Solve -u**5 + 5*u**3 - 4*u = 0.
-2, -1, 0, 1, 2
Factor -5*v**3 + 235*v**2 - 2640*v - 2880.
-5*(v - 24)**2*(v + 1)
Factor -30*b**2 - 8*b.
-2*b*(15*b + 4)
What is n in -5*n**4 - 45*n**3 + 60*n**2 + 620*n + 720 = 0?
-9, -2, 4
Find z, given that 48*z**5/17 + 140*z**4/17 + 122*z**3/17 + 16*z**2/17 - 14*z/17 = 0.
-7/6, -1, 0, 1/4
Solve 4*f**4 + 44*f**3 + 140*f**2 + 100*f = 0 for f.
-5, -1, 0
Find j, given that -20*j**4 + 328*j**3 - 1628*j**2 + 2760*j - 864 = 0.
2/5, 3, 4, 9
Suppose 2*q**3/5 + 14*q**2/5 - 82*q/5 + 66/5 = 0. Calculate q.
-11, 1, 3
Determine b, given that -12*b**5 - 140*b**4 + 143*b**3/3 - 4*b**2 = 0.
-12, 0, 1/6
Factor 2*f**2/9 - 2*f/9 - 28/3.
2*(f - 7)*(f + 6)/9
Solve -c**3 - 42*c**2 - 41*c = 0 for c.
-41, -1, 0
Factor 5*f**2 - 120*f - 405.
5*(f - 27)*(f + 3)
Find d, given that -4*d**2 + 5112*d - 1633284 = 0.
639
Factor s**3 - 57*s**2 + 576*s - 1620.
(s - 45)*(s - 6)**2
Factor -2*d**2/11 + 276*d/11.
-2*d*(d - 138)/11
Factor 85*v**2/2 - 175*v/2 - 130.
5*(v + 1)*(17*v - 52)/2
Factor 5*b**2 + 265*b + 1980.
5*(b + 9)*(b + 44)
Find l such that -2*l**5 - 4*l**4 + 4*l**3 + 16*l**2 + 14*l + 4 = 0.
-1, 2
Factor -5*q**3 + 10*q**2 + 5*q - 10.
-5*(q - 2)*(q - 1)*(q + 1)
Factor -x**2/3 - x + 28/3.
-(x - 4)*(x + 7)/3
Suppose -2*j**4/3 + 12*j**3 - 158*j**2/3 - 12*j + 160/3 = 0. Calculate j.
-1, 1, 8, 10
Factor -5*k**5 + 135*k**4 - 840*k**3 - 980*k**2.
-5*k**2*(k - 14)**2*(k + 1)
Suppose -2*g**3 + 90*g**2 + 96*g - 184 = 0. What is g?
-2, 1, 46
Factor -2*f**2/5 - 458*f/5 - 360.
-2*(f + 4)*(f + 225)/5
Let i**2/8 + 459*i/4 + 210681/8 = 0. Calculate i.
-459
Factor 4*f**2 - 60*f + 104.
4*(f - 13)*(f - 2)
Let -5*y**4 + 75*y**3 - 385*y**2 + 765*y - 450 = 0. What is y?
1, 3, 5, 6
Factor 4*u**4 + 192*u**3 + 1172*u**2 + 984*u.
4*u*(u + 1)*(u + 6)*(u + 41)
Determine a so that 2260713*a**4 + 149058*a**3 + 3276*a**2 + 24*a = 0.
-2/91, 0
Factor -5*u**4 - 425*u**3 - 1640*u**2 - 1620*u.
-5*u*(u + 2)**2*(u + 81)
Factor 4*x**2/3 + 7196*x/3 - 2400.
4*(x - 1)*(x + 1800)/3
Solve -p**5/6 + p**4/6 + 91*p**3/6 - p**2/6 - 15*p = 0 for p.
-9, -1, 0, 1, 10
Find r such that -r**2/4 - 35*r/4 - 24 = 0.
-32, -3
What is m in m**3/7 + 145*m**2/7 + 843*m/7 + 1251/7 = 0?
-139, -3
Factor 2*x**4 - 48*x**3 + 366*x**2 - 920*x + 600.
2*(x - 10)**2*(x - 3)*(x - 1)
Solve -c**5 + 14*c**4 - 25*c**3 + 12*c**2 = 0 for c.
0, 1, 12
Solve 3*n**2 - 147*n - 150 = 0 for n.
-1, 50
Factor r**5/3 - r**4/3 - r**3 + 5*r**2/3 - 2*r/3.
r*(r - 1)**3*(r + 2)/3
Solve 5*s**5/2 - 55*s**4/2 - 135*s**3/2 + 55*s**2/2 + 65*s = 0 for s.
-2, -1, 0, 1, 13
Factor 3*y**2/8 - 375*y/8 + 93/2.
3*(y - 124)*(y - 1)/8
Solve -2*w**2 + 600*w - 598 = 0 for w.
1, 299
Factor 2*n**3/7 + 386*n**2/7 + 18430*n/7 - 18818/7.
2*(n - 1)*(n + 97)**2/7
Factor -s**3 + 33*s**2 - 171*s - 1805.
-(s - 19)**2*(s + 5)
Solve 2*x**4/11 - 8*x**3/11 + 8*x**2/11 = 0 for x.
0, 2
Solve x**2 + 45*x/4 + 11/4 = 0 for x.
-11, -1/4
Determine x so that 3*x**5/2 - 297*x**4 - 900*x**3 - 903*x**2 - 603*x/2 = 0.
-1, 0, 201
Solve 4*b**5 + 180*b**4 + 2780*b**3 + 19180*b**2 + 58800*b + 60368 = 0.
-22, -7, -2
Factor 3*d**2 + 1911*d - 1914.
3*(d - 1)*(d + 638)
Factor 2*t**3 - 7260*t**2 + 8784600*t - 3543122000.
2*(t - 1210)**3
Suppose -6*u**2/5 - 183*u/5 - 18 = 0. What is u?
-30, -1/2
Let 4*u**4 - 76*u**3 + 420*u**2 - 628*u + 280 = 0. What is u?
1, 7, 10
Factor l**3/2 - 48*l**2 + 2397*l/2 - 2209.
(l - 47)**2*(l - 2)/2
Factor 5*s**5 + 10*s**4 - 10*s**3 - 40*s**2 - 35*s - 10.
5*(s - 2)*(s + 1)**4
Find m, given that 3*m**2/5 + 60*m + 1692/5 = 0.
-94, -6
Factor -5*n**4 - 10*n**3.
-5*n**3*(n + 2)
Find f, given that 2*f**5 - 59*f**3/2 - 39*f**2/2 + 41*f - 12 = 0.
-3, -2, 1/2, 4
Suppose 2*s**4 - 98*s**2 - 240*s = 0. What is s?
-5, -3, 0, 8
Let 4*o**3 - 144*o**2 + 524*o - 384 = 0. What is o?
1, 3, 32
Suppose j**3/3 + 4*j**2/3 + j = 0. Calculate j.
-3, -1, 0
Let -20*b**4 - 645*b**3 - 4580*b**2 + 10455*b + 2890 = 0. What is b?
-17, -1/4, 2
Find d such that 196*d**2 + 71456*d + 6512704 = 0.
-1276/7
Determine s, given that 3*s**5 + 29*s**4/2 + 19*s**3/2 - 2*s**2 = 0.
-4, -1, 0, 1/6
Factor 11*u**3 - 2*u**2 - 176*u + 32.
(u - 4)*(u + 4)*(11*u - 2)
Find b such that -2*b**4/3 - 176*b**3/3 - 440*b**2 - 3232*b/3 - 2560/3 = 0.
-80, -4, -2
Find u, given that -123*u**5/4 - 741*u**4/4 - 747*u**3/2 - 255*u**2 - 6*u = 0.
-2, -1/41, 0
Factor -3*c**2 + 66*c + 960.
-3*(c - 32)*(c + 10)
Suppose 2*y**3/9 + 158*y**2/9 - 488*y/9 + 328/9 = 0. What is y?
-82, 1, 2
Find m, given that 32*m**5/17 - 96*m**4/17 - 730*m**3/17 - 1080*m**2/17 - 562*m/17 - 84/17 = 0.
-2, -1, -3/4, -1/4, 7
Find m, given that -5*m**2 + 720*m - 25920 = 0.
72
Solve -140*f**3 - 555*f**2 - 540*f + 20 = 0 for f.
-2, 1/28
Determine d, given that -2*d**5/3 - 10*d**4/3 - 8*d**3/3 = 0.
-4, -1, 0
Factor -2*v**3/17 - 8*v**2/17.
-2*v**2*(v + 4)/17
Suppose 2*v**2/11 + 248*v/11 - 250/11 = 0. Calculate v.
-125, 1
Factor -5*u**3 + 215*u**2 - 415*u + 205.
-5*(u - 41)*(u - 1)**2
Factor 2*h**5/11 + 302*h**4/11 + 1050*h**3 + 11250*h**2/11.
2*h**2*(h + 1)*(h + 75)**2/11
Factor 3*j**2 - 4266*j + 1516563.
3*(j - 711)**2
Factor 10*x**3/13 + 46*x**2/13 - 20*x/13.
2*x*(x + 5)*(5*x - 2)/13
Suppose z**2/7 - 62*z/7 + 477/7 = 0. Calculate z.
9, 53
Let -2*k**2/7 + 122*k/7 - 1776/7 = 0. Calculate k.
24, 37
Factor 2*i**2/3 + 162*i - 980/3.
2*(i - 2)*(i + 245)/3
Factor -5*t**2/3.
-5*t**2/3
Find y such that 14*y**2/5 + 32*y/5 + 8/5 = 0.
-2, -2/7
Find a, given that 3*a**5 - 9*a**4 - 3*a**3 + 21*a**2 - 12 = 0.
-1, 1, 2
Let 16*o**5/5 + 62*o**4/5 + 12*o**3 = 0. What is o?
-2, -15/8, 0
Solve -3*i**3 - 15*i**2 + 3*i + 15 = 0.
-5, -1, 1
Let -5*k**2/3 - 56920*k/3 - 161994320/3 = 0. What is k?
-5692
Factor 2*r**5 - 2*r**4 - 12*r**3.
2*r**3*(r - 3)*(r + 2)
Suppose 3*g**2 + 138*g - 765 = 0. What is g?
-51, 5
Let 2*w**4 - 402*w**3 + 1584*w**2 - 1576*w = 0. What is w?
0, 2, 197
Factor 4*r**3/5 - 12*r**2/5.
4*r**2*(r - 3)/5
Factor -5*j**5 - 560*j**4 - 15110*j**3 + 31920*j**2 - 16245*j.
-5*j*(j - 1)**2*(j + 57)**2
What is n in n**5 - 4*n**4 - 9*n**3 + 32*n**2 + 28*n - 48 = 0?
-2, 1, 3, 4
Factor -2*u**2/11 - 890*u/11 - 888/11.
-2*(u + 1)*(u + 444)/11
Find c, given that c**5 - 2*c**4/3 - 4*c**3/3 + 2*c**2/3 + c/3 = 0.
-1, -1/3, 0, 1
Factor -n**4 - 31*n**3 - 29*n**2 + 31*n + 30.
-(n - 1)*(n + 1)**2*(n + 30)
Solve -n**2 + 106*n = 0 for n.
0, 106
Determine p so that -13*p**3 + 21*p**2/4 + 95*p/2 - 12 = 0.
-24/13, 1/4, 2
What is p in 2*p**3 - 88*p**2 + 918*p = 0?
0, 17, 27
Solve -y**5/2 - 58*y**4 - 2223*y**3 - 27378*y**2 + 59319*y/2 = 0 for y.
-39, 0, 1
Factor -2*f**2 - 940*f - 938.
-2*(f + 1)*(f + 469)
Solve -c**5/8 + 12*c**4 - 250*c**3 - 7245*c**2/4 - 27999*c/8 - 7803/4 = 0 for c.
-3, -2, -1, 51
Factor -c**2 + 3710*c - 3441025.
-(c - 1855)**2
Determine c, given that -196*c**5/5 - 231*c**4/5 + 85*c**3 + 126*c**2/5 - 148*c/5 + 24/5 = 0.
-2, -3/4, 2/7, 1
Suppose 3*o**3 + 21*o**2 - 210*o + 312 = 0. What is o?
-13, 2, 4
Determine k, given that 2*k**4 - 32*k**3 + 86*k**2 + 120*k = 0.
-1, 0, 5, 12
Factor -w**2/6 + 232*w/3 + 466/3.
-(w - 466)*(w + 2)/6
Factor l**5 + 20*l**4 + 152*l**3 + 544*l**2 + 912*l + 576.
(l + 2)**2*(l + 4)*(l + 6)**2
Factor -10*z**3 + 27*z**2 +