 10*f**4 + 5*f**3 + 10*f**2 = 0 for f.
-2, -1, 0, 1
What is l in 2*l**2/13 - 22*l/13 + 20/13 = 0?
1, 10
Factor 3*m**4/2 + 66*m**3 + 1935*m**2/2 + 4725*m.
3*m*(m + 14)*(m + 15)**2/2
Suppose -4*u**2 + 2636*u + 7944 = 0. What is u?
-3, 662
Factor -r**4/4 - 5*r**3/4 - 7*r**2/4 - 3*r/4.
-r*(r + 1)**2*(r + 3)/4
Suppose -5*u**2 - 50*u + 55 = 0. Calculate u.
-11, 1
Let 3*z**4 - 43*z**3 - 258*z**2 - 152*z = 0. Calculate z.
-4, -2/3, 0, 19
Factor -u**4 + 12*u**3 - 20*u**2 - 192*u + 576.
-(u - 6)**2*(u - 4)*(u + 4)
Factor -2*p**2/5 - 56*p/5 - 64.
-2*(p + 8)*(p + 20)/5
Factor 3*f**2 + 78*f - 261.
3*(f - 3)*(f + 29)
Factor -6*s**4 - 236*s**3/3 - 296*s**2 - 240*s.
-2*s*(s + 6)**2*(9*s + 10)/3
Suppose 5*x**3 + 235*x**2 + 2375*x - 9375 = 0. What is x?
-25, 3
Find l, given that -75*l**4 - 85*l**3 + 4190*l**2 - 10240*l - 1440 = 0.
-9, -2/15, 4
Let 4*r**4 - 108*r**3 - 1204*r**2 - 3252*r - 2160 = 0. What is r?
-5, -3, -1, 36
Factor 3*o**4 - 9*o**3 + 3*o**2 + 9*o - 6.
3*(o - 2)*(o - 1)**2*(o + 1)
What is u in 3*u**3/4 + 165*u**2/8 - 129*u/4 + 87/8 = 0?
-29, 1/2, 1
Find l, given that -2*l**5/13 + 10*l**4/13 - 2*l**3/13 - 34*l**2/13 + 44*l/13 - 16/13 = 0.
-2, 1, 4
Solve i**4/5 + 8*i**3/5 + 13*i**2/5 + 6*i/5 = 0 for i.
-6, -1, 0
Factor 44*c**3 + 192*c**2 + 240*c + 64.
4*(c + 2)**2*(11*c + 4)
Solve 4*u**5 + 32*u**4 + 72*u**3 + 64*u**2 + 20*u = 0.
-5, -1, 0
Solve b**3 - 321*b**2/4 - 61*b + 81/4 = 0.
-1, 1/4, 81
Determine f so that 2*f**5/7 - 6*f**4/7 - 10*f**3/7 + 30*f**2/7 + 8*f/7 - 24/7 = 0.
-2, -1, 1, 2, 3
Find b, given that 7*b**5 + 317*b**4 + 1511*b**3 + 1183*b**2 - 2298*b - 720 = 0.
-40, -3, -2/7, 1
Solve 2*o**3/3 - 26*o**2/3 + 32*o - 24 = 0.
1, 6
Factor -j**3/3 - 61*j**2/3 - 119*j/3 - 59/3.
-(j + 1)**2*(j + 59)/3
Suppose 2*o**4/5 - 2*o**3/5 - 6*o**2/5 + 2*o - 4/5 = 0. What is o?
-2, 1
Factor w**5 - 7*w**4 - 8*w**3.
w**3*(w - 8)*(w + 1)
Factor -y**4/5 - 8*y**3/5 - 16*y**2/5.
-y**2*(y + 4)**2/5
Factor 2*f**2 + 3*f + 1.
(f + 1)*(2*f + 1)
Determine d so that -2*d**4 + 26*d**3 - 114*d**2 + 190*d - 100 = 0.
1, 2, 5
Find b such that b**2/2 + 22*b - 45/2 = 0.
-45, 1
Factor -p**2/4 + 221*p/4 - 219/2.
-(p - 219)*(p - 2)/4
Let -t**2 + t + 6 = 0. Calculate t.
-2, 3
Find t, given that 2*t**2/21 - 30*t/7 - 92/21 = 0.
-1, 46
Factor 2*s**2/3 - 6*s + 40/3.
2*(s - 5)*(s - 4)/3
Let -2*c**4 + 686*c**3 - 58480*c**2 - 59168*c = 0. What is c?
-1, 0, 172
Suppose -20*u**5/3 - 656*u**4/9 + 13952*u**3/9 - 14272*u**2/9 + 3520*u/9 = 0. Calculate u.
-22, 0, 2/5, 2/3, 10
Factor s**3/2 - 3*s**2/2 - 33*s/2 + 35/2.
(s - 7)*(s - 1)*(s + 5)/2
Factor -3*u**5/7 + 7335*u**4/7 - 7173630*u**3/7 + 3507905070*u**2/7 - 857682789615*u/7 + 83881376824347/7.
-3*(u - 489)**5/7
Find l, given that 9*l**5 - 2*l**4 - 54*l**3 + 84*l**2 - 43*l + 6 = 0.
-3, 2/9, 1
Factor -2*m**3/3 + 738*m**2 - 204610*m + 611618/3.
-2*(m - 553)**2*(m - 1)/3
Find k, given that -k**5/3 - 3*k**4 - 25*k**3/3 - 9*k**2 - 10*k/3 = 0.
-5, -2, -1, 0
Factor 4*b**3 - 36*b**2 - 4*b + 36.
4*(b - 9)*(b - 1)*(b + 1)
Factor 3*x**2/5 + 648*x/5 + 34992/5.
3*(x + 108)**2/5
Find n such that -5*n**3 + 575*n**2 - 16240*n - 16820 = 0.
-1, 58
Suppose -3*l**5 + 78*l**4 + 6*l**3 - 156*l**2 - 3*l + 78 = 0. What is l?
-1, 1, 26
Solve -4*l**3 + 48*l**2 + 4*l - 48 = 0.
-1, 1, 12
Factor 5*w**2 - 125.
5*(w - 5)*(w + 5)
Factor 4*y**3 + 72*y**2 + 236*y + 168.
4*(y + 1)*(y + 3)*(y + 14)
Factor -2*v**2/15 - 122*v/15 - 8.
-2*(v + 1)*(v + 60)/15
Factor -33*g**2 - 2193*g - 2160.
-3*(g + 1)*(11*g + 720)
Determine p so that -3*p**3 + 1527*p**2 - 3045*p + 1521 = 0.
1, 507
Suppose 3*q**3 - 18*q**2 - 75*q - 54 = 0. Calculate q.
-2, -1, 9
Factor 2*m**2/7 - 64*m/7 - 136/7.
2*(m - 34)*(m + 2)/7
Factor -9*i**3 + 2274*i**2 - 8205*i - 2988.
-3*(i - 249)*(i - 4)*(3*i + 1)
Find u, given that 8*u**5/7 - 2*u**4/7 - 32*u**3/7 + 8*u**2/7 = 0.
-2, 0, 1/4, 2
Solve -2*y**2/13 - 8608*y/13 - 9262208/13 = 0.
-2152
Determine r so that 27*r**5 - 2289*r**4 + 65262*r**3 - 641592*r**2 + 446880*r + 131712 = 0.
-2/9, 1, 28
Find o such that o**4/5 + 23*o**3 + 3472*o**2/5 + 9408*o/5 = 0.
-56, -3, 0
Find p such that -22*p**5 + 106*p**4 - 90*p**3 - 130*p**2 + 112*p + 24 = 0.
-1, -2/11, 1, 2, 3
What is a in 3*a**3/2 - 9*a**2/2 - 75*a/2 - 63/2 = 0?
-3, -1, 7
Find d, given that -2*d**5/3 + 32*d**4/3 - 64*d**3 + 180*d**2 - 234*d + 108 = 0.
1, 3, 6
Determine u, given that -4*u**3 + 32*u**2 - 36*u - 72 = 0.
-1, 3, 6
Factor -k**3/2 + 75*k**2/2 + 38*k.
-k*(k - 76)*(k + 1)/2
Solve -u**5/6 + 9*u**4/2 - 287*u**3/6 + 1501*u**2/6 - 644*u + 1960/3 = 0.
4, 5, 7
Determine v so that 2*v**5/9 + 10*v**4/9 - 2*v**3/9 - 58*v**2/9 - 8*v/3 + 8 = 0.
-3, -2, 1, 2
Solve -2*k**4/11 + 98*k**3/11 - 1248*k**2/11 + 1152*k/11 = 0 for k.
0, 1, 24
Factor 2*b**2/13 + 1280*b/13 + 204800/13.
2*(b + 320)**2/13
Factor c**3/2 - 8*c**2 + 14*c.
c*(c - 14)*(c - 2)/2
Factor -2*f**3/7 + 6*f**2 - 216*f/7 + 40.
-2*(f - 14)*(f - 5)*(f - 2)/7
Factor -u**3/10 + 6*u**2/5 + 3*u/2 - 13/5.
-(u - 13)*(u - 1)*(u + 2)/10
Factor 3*f**2 - 21*f + 36.
3*(f - 4)*(f - 3)
Suppose 2*c**5 - 172*c**4 + 336*c**3 + 4*c**2 - 338*c + 168 = 0. What is c?
-1, 1, 84
Let 2*k**4 - 6*k**3 - 110*k**2 + 6*k + 108 = 0. What is k?
-6, -1, 1, 9
Factor -2*y**4 + 18*y**3 - 36*y**2.
-2*y**2*(y - 6)*(y - 3)
Determine n so that -n**2/6 - 14*n/3 - 115/6 = 0.
-23, -5
Let -3*c**4/7 + 39*c**3/7 - 69*c**2/7 + 33*c/7 = 0. Calculate c.
0, 1, 11
Find u such that 130*u**4 - 515*u**3 + 630*u**2 - 235*u - 10 = 0.
-1/26, 1, 2
Factor -2*f**4 + 42*f**3 + 306*f**2 + 478*f + 216.
-2*(f - 27)*(f + 1)**2*(f + 4)
Suppose 4*y**2 - 108*y + 104 = 0. Calculate y.
1, 26
Find p such that -2*p**5/21 - 16*p**4/21 - 34*p**3/21 - 20*p**2/21 = 0.
-5, -2, -1, 0
Factor -w**4 + w**3 + 10*w**2 + 8*w.
-w*(w - 4)*(w + 1)*(w + 2)
Factor -w**4/3 + 12*w**3 - 121*w**2 + 352*w/3 + 1792.
-(w - 16)**2*(w - 7)*(w + 3)/3
Let i**2 + 706*i + 124609 = 0. Calculate i.
-353
Determine l, given that -4*l**3 - 440*l**2 + 908*l + 1344 = 0.
-112, -1, 3
Solve 3*d**4/4 - 21*d**3/4 - 459*d**2/4 - 843*d/4 - 102 = 0 for d.
-8, -1, 17
Find m such that 4*m**2 - 116*m + 312 = 0.
3, 26
Determine f so that 2*f**5 - 2*f**4 - 4*f**3 + 4*f**2 + 2*f - 2 = 0.
-1, 1
Solve -2*t**4 + 22*t**3 - 38*t**2 + 18*t = 0 for t.
0, 1, 9
Factor 4*k**2 + 284*k - 5984.
4*(k - 17)*(k + 88)
Factor c**3/5 + 4*c**2 - 23*c/5 - 42/5.
(c - 2)*(c + 1)*(c + 21)/5
Factor y**4 - 19*y**3 + 78*y**2 + 140*y - 200.
(y - 10)**2*(y - 1)*(y + 2)
Factor -l**3/4 - 2611*l**2/4 - 5219*l/4 - 2609/4.
-(l + 1)**2*(l + 2609)/4
Solve -2*h**2 - 700*h - 61250 = 0 for h.
-175
Factor 5*r**3 - 18655*r**2 - 18660*r.
5*r*(r - 3732)*(r + 1)
Factor 20*b**3 - 2715*b**2 + 2020*b + 675.
5*(b - 135)*(b - 1)*(4*b + 1)
Suppose -f**3 + 26*f**2 - 45*f - 72 = 0. Calculate f.
-1, 3, 24
Factor 3*z**2/4 - 57*z/4 + 27/2.
3*(z - 18)*(z - 1)/4
Let -2*q**5/11 - 4*q**4/11 + 6*q**3/11 + 8*q**2/11 - 8*q/11 = 0. Calculate q.
-2, 0, 1
Determine i so that 2*i**4/7 + 34*i**3/7 + 4*i**2 - 64*i/7 = 0.
-16, -2, 0, 1
Factor -5*u**4 + 45*u**3 - 150*u**2 + 220*u - 120.
-5*(u - 3)*(u - 2)**3
Factor -4*x**3 + 44*x**2 - 64*x - 336.
-4*(x - 7)*(x - 6)*(x + 2)
Solve -3*d**3 - 12*d**2 + 345*d - 1050 = 0 for d.
-14, 5
Factor 2*t**5 - 4*t**4 - 8*t**3 + 4*t**2 + 6*t.
2*t*(t - 3)*(t - 1)*(t + 1)**2
Suppose -6*l**4/5 + 76*l**3/5 - 258*l**2/5 + 284*l/5 - 96/5 = 0. Calculate l.
2/3, 1, 3, 8
Solve -2*r**3/11 - 6*r**2/11 + 48*r/11 + 160/11 = 0.
-4, 5
Factor 4*r**4 - 31*r**2 + 15*r.
r*(r + 3)*(2*r - 5)*(2*r - 1)
Factor 3*l**2 + 141*l - 144.
3*(l - 1)*(l + 48)
Factor -4*f**2 - 12*f + 40.
-4*(f - 2)*(f + 5)
Determine r, given that 9*r**5 + 354*r**4 + 1107*r**3 + 978*r**2 + 216*r = 0.
-36, -2, -1, -1/3, 0
Factor -f**3/3 + 34*f**2/3 + 35*f/3.
-f*(f - 35)*(f + 1)/3
Factor 2*i**5 - 14*i**4 - 86*i**3 + 518*i**2 + 588*i.
2*i*(i - 7)**2*(i + 1)*(i + 6)
Factor 2*u**5/9 + 2*u**4/3 - 2*u**3 + 10*u**2/9.
2*u**2*(u - 1)**2*(u + 5)/9
Find f, given that -2*f**3 - 1754*f**2/7 + 4876*f/7 + 1536/7 = 0.
-128, -2/7, 3
Suppose -2*x**5 - 6*x**4 - 6*x**3 - 2*x**2 = 0. Calculate x.
-1, 0
What is h in 4*h**2/7 - 768*h/7 + 36864/7 = 0?
96
Solve -2*u**5/11 - 14*u**4/11 - 36*u**3/11 - 4*u**2 - 26*u/11 - 6/11 = 0 for u.
-3, -1
Factor b**2/2 - 2185*b + 4774225/2.
(b - 2185)**2/2
Factor g**3/3 + 4*g**2/3 - 5*g - 6.
(g - 3)*(g + 1)*(g + 6)/3
Factor 5*y**3 - 325*y**2 - 670*y.
5*y*(y