1
Let 3*r**2/4 + 15*r/4 - 18 = 0. Calculate r.
-8, 3
Factor 2*u**4 + 80*u**3 + 896*u**2 + 3072*u.
2*u*(u + 8)**2*(u + 24)
Let 4*p**3/7 + 136*p**2/7 - 592*p/7 + 608/7 = 0. What is p?
-38, 2
Factor 14*f**3 + 2*f**2/13.
2*f**2*(91*f + 1)/13
Solve 2*k**3/17 - 118*k**2/17 + 720*k/17 + 33696/17 = 0 for k.
-13, 36
Factor -2*h**3/3 - 56*h**2/3 - 110*h + 300.
-2*(h - 2)*(h + 15)**2/3
Suppose -q**5/8 + q**4/2 + q**3/4 - q**2 - q/8 + 1/2 = 0. Calculate q.
-1, 1, 4
Let 4*u**3/9 + 836*u**2/9 + 11552*u/3 - 109744 = 0. Calculate u.
-114, 19
Factor -2*k**2 - 22*k - 36.
-2*(k + 2)*(k + 9)
Find j, given that 4*j**4/3 + 32*j**3 + 220*j**2 + 1048*j/3 + 160 = 0.
-12, -10, -1
Factor -4*l**3 + 228*l**2 - 3360*l + 3136.
-4*(l - 28)**2*(l - 1)
Find u such that -5*u**3 + 40*u**2 + 75*u - 270 = 0.
-3, 2, 9
Let 448*a**4 + 960*a**3 + 684*a**2 + 190*a + 18 = 0. What is a?
-1, -9/14, -1/4
Factor -v**2 + 2*v.
-v*(v - 2)
Factor 2*j**4 - 24*j**3 + 20*j**2 + 24*j - 22.
2*(j - 11)*(j - 1)**2*(j + 1)
What is d in d**2 + 8*d + 16 = 0?
-4
Determine o so that -o**3/2 + 27*o**2/4 - 33*o/2 - 10 = 0.
-1/2, 4, 10
Solve 2*n**4/5 + 28*n**3/5 + 74*n**2/5 - 168*n/5 - 216/5 = 0 for n.
-9, -6, -1, 2
Factor -b**2/2 - 89*b + 179/2.
-(b - 1)*(b + 179)/2
Find g such that -g**4 - 17*g**3 - 42*g**2 = 0.
-14, -3, 0
Determine m so that -3*m**5 - 21*m**4 - 27*m**3 + 21*m**2 + 30*m = 0.
-5, -2, -1, 0, 1
Factor -4*g**4/9 + 1040*g**3/9 + 4208*g**2/9 + 1408*g/3.
-4*g*(g - 264)*(g + 2)**2/9
Factor -242*w**5 + 660*w**4 - 384*w**3 + 64*w**2.
-2*w**2*(w - 2)*(11*w - 4)**2
Factor -5*g**2 - 10980*g - 6028020.
-5*(g + 1098)**2
Factor -28*y**2/3 - 2428*y + 7312/3.
-4*(y - 1)*(7*y + 1828)/3
Factor 2*w**2 + 6638*w.
2*w*(w + 3319)
Factor -3*p**3/4 + 24*p**2 - 267*p/4 + 87/2.
-3*(p - 29)*(p - 2)*(p - 1)/4
What is g in -2*g**3/11 - 60*g**2/11 - 504*g/11 - 784/11 = 0?
-14, -2
Suppose o**2/5 - 708*o/5 + 125316/5 = 0. Calculate o.
354
Factor -4*z**5 + 4*z**4 + 8*z**3 - 8*z**2 - 4*z + 4.
-4*(z - 1)**3*(z + 1)**2
Factor -2*y**2 - 1496*y - 279752.
-2*(y + 374)**2
Determine g so that -g**5/5 + 7*g**4/5 + g**3/5 - 7*g**2/5 = 0.
-1, 0, 1, 7
Suppose -2*v**3/9 - 2*v**2/3 - 4*v/9 = 0. Calculate v.
-2, -1, 0
Determine h, given that 4*h**3 + 164*h**2/7 - 144*h/7 - 720/7 = 0.
-6, -2, 15/7
Let -27*v**4 + 360*v**3 - 984*v**2 + 864*v - 240 = 0. Calculate v.
2/3, 2, 10
What is x in -12*x**4 - 122*x**3 - 296*x**2 - 214*x - 28 = 0?
-7, -2, -1, -1/6
Factor 2*g**3/13 - 76*g**2/13 + 622*g/13 + 700/13.
2*(g - 25)*(g - 14)*(g + 1)/13
Factor 4*i**2 + 9954*i + 4976.
2*(i + 2488)*(2*i + 1)
What is z in -5*z**2 + 2135*z + 10800 = 0?
-5, 432
Factor -g**5 + 32*g**4 + 68*g**3 + 2*g**2 - 67*g - 34.
-(g - 34)*(g - 1)*(g + 1)**3
Factor -y**3/3 - 1529*y**2/3 - 3055*y/3 - 509.
-(y + 1)**2*(y + 1527)/3
Factor 305*q**2 - 335*q + 30.
5*(q - 1)*(61*q - 6)
Factor 7*y**2 - 58*y/5 - 24/5.
(y - 2)*(35*y + 12)/5
Factor 5*k**2 - 45*k + 100.
5*(k - 5)*(k - 4)
Determine h, given that -h**4/2 + 36*h**3 - 207*h**2/2 - 2*h + 138 = 0.
-1, 2, 69
Determine x so that 3*x**4/2 + 9*x**3 - 72*x**2 - 273*x + 2205/2 = 0.
-7, 3, 5
Solve 5*h**5 + 11*h**4 - 13*h**3 - 43*h**2 - 28*h - 4 = 0 for h.
-2, -1, -1/5, 2
What is r in 5*r**4 - 7535*r**3 - 22635*r**2 - 22645*r - 7550 = 0?
-1, 1510
Determine k, given that 33*k**3 + 102*k**2 + 75*k + 6 = 0.
-2, -1, -1/11
Factor -3*x**2 + 147*x - 540.
-3*(x - 45)*(x - 4)
Factor -4*o**3 + 56*o**2 - 196*o + 144.
-4*(o - 9)*(o - 4)*(o - 1)
Let -5*p**3 - 60*p**2 - 220*p - 240 = 0. Calculate p.
-6, -4, -2
Solve b**2/9 - 187*b/3 + 560/9 = 0.
1, 560
Let -5*q**4 - 70*q**3 + 125*q**2 + 790*q + 600 = 0. What is q?
-15, -2, -1, 4
Find p such that -p**4 - 59*p**3 - 277*p**2 - 381*p - 162 = 0.
-54, -3, -1
Let 2*k**3/13 + 66*k**2/13 + 576*k/13 + 512/13 = 0. Calculate k.
-16, -1
Suppose 5*i**4 - 4255*i**3 + 907375*i**2 - 903125*i = 0. What is i?
0, 1, 425
Let -28*r**5 + 160*r**4 + 412*r**3 - 1072*r**2 - 336*r = 0. What is r?
-3, -2/7, 0, 2, 7
Solve 2*s**3/11 - 10*s**2/11 + 4*s/11 + 16/11 = 0 for s.
-1, 2, 4
Let o**3/3 - 50*o**2/3 + 551*o/3 - 910/3 = 0. Calculate o.
2, 13, 35
Determine n so that 5*n**3 + 405*n**2 + 10935*n + 98415 = 0.
-27
Find k, given that 7*k**5/5 + 37*k**4/5 - 137*k**3/5 + 119*k**2/5 - 2*k - 16/5 = 0.
-8, -2/7, 1
Find o such that -11*o**4 - 101*o**3/3 - 2*o**2 + 44*o + 8/3 = 0.
-2, -2/33, 1
Suppose 3*z**4 - 39*z**3 + 144*z**2 - 204*z + 96 = 0. Calculate z.
1, 2, 8
What is u in -3*u**2 + 36*u = 0?
0, 12
Let 5*i**4 + 60*i**3 - 305*i**2 - 1260*i - 900 = 0. Calculate i.
-15, -2, -1, 6
Solve 2*r**3 - 18*r**2 + 28*r = 0.
0, 2, 7
Let 3*f**3/7 + 195*f**2/7 - 57*f + 201/7 = 0. What is f?
-67, 1
Let 2*v**2 + 1032*v + 133128 = 0. What is v?
-258
Factor -c**2/4 - 38*c - 148.
-(c + 4)*(c + 148)/4
Factor 3*n**2 - 93*n + 252.
3*(n - 28)*(n - 3)
What is c in -c**5/3 + 4*c**4 - 52*c**3/3 + 32*c**2 - 64*c/3 = 0?
0, 2, 4
Factor c**2/5 + 5*c.
c*(c + 25)/5
Determine s, given that -s**5 + 16*s**4 - 12*s**3 - 46*s**2 + 13*s + 30 = 0.
-1, 1, 2, 15
Let -3*i**2/5 = 0. What is i?
0
Factor -2*a**2/5 + 24*a/5 + 26/5.
-2*(a - 13)*(a + 1)/5
Find p, given that p**3/6 + 5*p**2 + 91*p/2 + 338/3 = 0.
-13, -4
Factor 4*a**2 - 7688*a + 3694084.
4*(a - 961)**2
Factor 5*k**4/6 + 19*k**3/6 + 11*k**2/6 - k/2.
k*(k + 1)*(k + 3)*(5*k - 1)/6
Find b, given that -35*b**5 - 2635*b**4 - 48630*b**3 + 36860*b**2 + 14440*b = 0.
-38, -2/7, 0, 1
What is x in -2*x**2/19 + 364*x/19 - 720/19 = 0?
2, 180
Factor o**4/5 - o**3 - o**2/5 + o.
o*(o - 5)*(o - 1)*(o + 1)/5
Factor -3*u**3 + 414*u**2 + 840*u.
-3*u*(u - 140)*(u + 2)
Factor 3*y**4 + 36*y**3 - 660*y**2.
3*y**2*(y - 10)*(y + 22)
Factor z**2 + 6*z + 9.
(z + 3)**2
Factor -3*c**3 - 42*c**2 + 672*c - 1152.
-3*(c - 8)*(c - 2)*(c + 24)
Solve -3*p**5 - 12*p**4 + 30*p**2 + 3*p - 18 = 0 for p.
-3, -2, -1, 1
Factor -2*p**4/7 + 90*p**3/7 + 188*p**2/7.
-2*p**2*(p - 47)*(p + 2)/7
Factor 2*n**4/3 + 8*n**3 + 14*n**2 - 196*n/3.
2*n*(n - 2)*(n + 7)**2/3
Suppose 2*h**3 + 4*h**2 - 26*h + 20 = 0. Calculate h.
-5, 1, 2
What is h in -2*h**3/13 + 12*h**2/13 - 6*h/13 - 20/13 = 0?
-1, 2, 5
Let 2*a**3 + 62*a**2 + 288*a - 3240 = 0. Calculate a.
-18, 5
Find t such that t**3/5 + 14*t**2/5 + 39*t/5 - 54/5 = 0.
-9, -6, 1
Solve -2*p**2 - 10352*p - 13395488 = 0 for p.
-2588
What is j in -j**2/3 - 34*j/3 - 91 = 0?
-21, -13
Factor -18*m**2 - 4*m/5.
-2*m*(45*m + 2)/5
Find m, given that 2*m**2/11 - 222*m/11 + 2548/11 = 0.
13, 98
Factor -3*g**3/4 + 23*g**2/8 + g/2.
-g*(g - 4)*(6*g + 1)/8
Let 3*f**3/2 - 3*f**2/2 - 3*f/2 + 3/2 = 0. Calculate f.
-1, 1
Determine i, given that -5*i**2 + 5*i = 0.
0, 1
Factor -2*j**3/9 - 16*j**2/3 + 6*j + 100/9.
-2*(j - 2)*(j + 1)*(j + 25)/9
Find v such that 3*v**5/4 - 29*v**4/4 + 51*v**3/4 + 41*v**2/4 - 21*v/2 = 0.
-1, 0, 2/3, 3, 7
Factor 3*l**2 + 45*l - 228.
3*(l - 4)*(l + 19)
Factor p**4/7 - 93*p**3/7 + 2208*p**2/7 - 2116*p/7.
p*(p - 46)**2*(p - 1)/7
Factor -4*g**5 - 40*g**4 - 48*g**3 + 288*g**2.
-4*g**2*(g - 2)*(g + 6)**2
Factor 3*m**3 - 315*m**2 - 318*m.
3*m*(m - 106)*(m + 1)
Determine n, given that 20*n**5 - 185*n**4 + 590*n**3 - 645*n**2 - 180*n + 540 = 0.
-3/4, 2, 3
Let -242*b**4/19 - 154*b**3/19 + 80*b**2/19 - 8*b/19 = 0. What is b?
-1, 0, 2/11
Factor 2*o**3/7 - 76*o**2/7 + 146*o/7 - 72/7.
2*(o - 36)*(o - 1)**2/7
Let -2*o**3/17 + 8*o**2/17 + 330*o/17 = 0. Calculate o.
-11, 0, 15
What is t in 2*t**3 - 400*t**2 - 402*t = 0?
-1, 0, 201
Factor -5*l**2/6 - 535*l/6 - 1505.
-5*(l + 21)*(l + 86)/6
Factor 2*j**2 - 14*j - 60.
2*(j - 10)*(j + 3)
Suppose g**2 - 582*g + 2312 = 0. Calculate g.
4, 578
Find g, given that 6*g**5/5 + 286*g**4/5 + 1716*g**3/5 + 628*g**2 + 966*g/5 - 738/5 = 0.
-41, -3, -1, 1/3
Determine y, given that y**4/4 - 551*y**3/4 + 549*y**2/2 = 0.
0, 2, 549
Solve -5*j**2 + 2280*j = 0 for j.
0, 456
Find p, given that 3*p**4 - 414*p**3 - 21*p**2 + 2880*p + 2484 = 0.
-2, -1, 3, 138
What is i in 3*i**4 + 63*i**3 - 96*i**2 - 684*i - 528 = 0?
-22, -2, -1, 4
Suppose -5*t**2 - 7835*t - 7830 = 0. What is t?
-1566, -1
Solve -18*u**4 + 742*u**3 - 2828*u**2 + 592*u = 0.
0, 2/9, 4, 37
Solve 9*t**3/4 - 295*t**2/4 + 111*t/2 + 16 = 0.
-2/9, 1, 32
Factor -l**3/2 + 23*l**2/2 + 52*l + 54.
-(l - 27)*(l + 2)**2/2
Factor -4*o**4 + 140*o**3 - 1296*o**2 + 4672*o - 5888.
-4*(o - 23)*(o - 4)**3
Find z such that -150*z**3/7 + 86760*z**2/7 - 34686*z/7 + 3468/7 = 0