, 0, 1, 296
Determine k, given that -k**3/4 - 633*k**2/4 = 0.
-633, 0
Factor 2*r**3/5 - 66*r**2/5 + 118*r/5 + 186/5.
2*(r - 31)*(r - 3)*(r + 1)/5
Factor -3*g**3 - 9*g**2.
-3*g**2*(g + 3)
Factor -l**3 - 41*l**2 - 475*l - 1083.
-(l + 3)*(l + 19)**2
Let -2*q**2 - 38*q = 0. What is q?
-19, 0
What is x in -2*x**4 - 50*x**3 + 106*x**2 - 54*x = 0?
-27, 0, 1
Factor -15*u**4 - 6*u**3 + 240*u**2 + 96*u.
-3*u*(u - 4)*(u + 4)*(5*u + 2)
Solve 2*z**2 + 156*z - 320 = 0 for z.
-80, 2
What is l in -2*l**2/3 + 224*l + 674/3 = 0?
-1, 337
Suppose 15*v**4 + 1105*v**3 + 1780*v**2 - 1460*v - 1440 = 0. Calculate v.
-72, -2, -2/3, 1
Factor -2*l**3/11 - 1134*l**2/11 - 160176*l/11 + 161312/11.
-2*(l - 1)*(l + 284)**2/11
What is l in -l**3 + 34*l**2 - 289*l = 0?
0, 17
Factor 2*i**3 + 26*i**2 + 96*i + 72.
2*(i + 1)*(i + 6)**2
Solve s**3/2 - 6*s**2 = 0.
0, 12
Let 7*y**5/4 - 19*y**4/4 - 27*y**3/4 + 71*y**2/4 - 5*y - 3 = 0. What is y?
-2, -2/7, 1, 3
Let -2*c**2/11 - 18*c/11 - 40/11 = 0. Calculate c.
-5, -4
What is h in 4*h**3 - 472*h**2 + 10244*h - 62192 = 0?
13, 92
Suppose 3*w**4 + 51*w**3 - 306*w**2 + 516*w - 264 = 0. What is w?
-22, 1, 2
Solve 3*z**4 + 1194*z**3 + 116391*z**2 - 479988*z + 484812 = 0 for z.
-201, 2
Factor -b**4/3 + b**3/3 + 10*b**2 - 32*b/3 - 160/3.
-(b - 4)**2*(b + 2)*(b + 5)/3
Solve 5*l**2 - 45*l + 70 = 0 for l.
2, 7
Solve -2*t**4 - 14*t**3 + 8*t**2 + 56*t = 0 for t.
-7, -2, 0, 2
Factor -s**3/8 - 5643*s**2/8 - 10614483*s/8 - 6655280841/8.
-(s + 1881)**3/8
Determine l so that -3*l**3/2 + 81*l**2/2 - 585*l/2 + 507/2 = 0.
1, 13
Suppose -4*m**5/9 - 56*m**4/9 + 280*m**3/9 - 160*m**2/9 - 92*m/3 + 24 = 0. Calculate m.
-18, -1, 1, 3
Factor 2*w**3/7 + 1952*w**2/7 - 3910*w/7 + 1956/7.
2*(w - 1)**2*(w + 978)/7
Factor -20*i**2 - 2715*i - 2025.
-5*(i + 135)*(4*i + 3)
Factor -m**3/5 - 11*m**2/5 - 24*m/5 + 36/5.
-(m - 1)*(m + 6)**2/5
What is i in -3*i**3 + 30*i**2 + 207*i + 270 = 0?
-3, -2, 15
Let -i**4 - 1051*i**3 + 3159*i**2 - 3161*i + 1054 = 0. Calculate i.
-1054, 1
Factor -3*j**2/2 - 11*j/2 - 3.
-(j + 3)*(3*j + 2)/2
Factor 4*f**2 - 340*f - 344.
4*(f - 86)*(f + 1)
Factor 5*q**3 + 24675*q**2 - 49365*q + 24685.
5*(q - 1)**2*(q + 4937)
Solve 4*s**4 + 100*s**3 + 568*s**2 + 1200*s + 864 = 0 for s.
-18, -3, -2
Factor -q**3/4 - 433*q**2/2 - 865*q/4.
-q*(q + 1)*(q + 865)/4
Determine t so that -2*t**4/11 + 120*t**3/11 - 2268*t**2/11 + 10584*t/11 + 55566/11 = 0.
-3, 21
Solve 25*v**3 + 370*v**2 + 605*v + 260 = 0.
-13, -1, -4/5
Suppose -p**5 + 2*p**4 + 15*p**3 = 0. What is p?
-3, 0, 5
Find l such that 3*l**4 + 39*l**3 + 105*l**2 - 147*l = 0.
-7, 0, 1
Suppose -12*x**3 - 136*x**2/3 + 212*x/3 - 40/3 = 0. What is x?
-5, 2/9, 1
Factor z**2/3 - 4238*z/3 + 4490161/3.
(z - 2119)**2/3
Factor 2*f**3/7 + 876*f**2/7 + 127896*f/7 + 6224272/7.
2*(f + 146)**3/7
Factor 2*p**3 - 21*p**2 + 28*p - 9.
(p - 9)*(p - 1)*(2*p - 1)
Find l, given that 5*l**5 + 30*l**4 - 5*l**3 - 150*l**2 = 0.
-5, -3, 0, 2
Factor -2*h**3/15 + 2*h**2/5 + 218*h/15 + 182/5.
-2*(h - 13)*(h + 3)*(h + 7)/15
Factor -w**2/3 + 2*w - 5/3.
-(w - 5)*(w - 1)/3
Factor 3*z**3 - 15*z**2 - 66*z - 48.
3*(z - 8)*(z + 1)*(z + 2)
Factor -3*k**3 + 60*k**2 + 63*k.
-3*k*(k - 21)*(k + 1)
What is a in -a**5 - 350*a**4 - 1044*a**3 - 1042*a**2 - 347*a = 0?
-347, -1, 0
Factor u**4 + 8*u**3 + 17*u**2 + 10*u.
u*(u + 1)*(u + 2)*(u + 5)
Let 5*g**3/2 - 965*g**2/2 + 46075*g/2 + 47045/2 = 0. What is g?
-1, 97
Factor 3*d**2 - 807*d + 804.
3*(d - 268)*(d - 1)
Suppose -4*f**5 + 112*f**3 + 8*f**2 - 300*f - 200 = 0. What is f?
-5, -1, 2, 5
Find z, given that -z**3 - 624*z**2 - 623*z = 0.
-623, -1, 0
Find u such that 3*u**2 + 195*u - 5742 = 0.
-87, 22
Let 2*d**3/5 + 26*d**2/5 = 0. Calculate d.
-13, 0
Solve -2*u**2 - 626*u - 624 = 0.
-312, -1
Factor 2*l**5/3 + 20*l**4/3 + 22*l**3 + 80*l**2/3 + 32*l/3.
2*l*(l + 1)**2*(l + 4)**2/3
Factor t**4 + 70*t**3 + 1125*t**2.
t**2*(t + 25)*(t + 45)
Determine x, given that 5*x**4 - 225*x**3 + 2220*x**2 - 8240*x + 10560 = 0.
4, 33
Find i, given that 30*i**4 - 3*i**3 - 30*i**2 + 3*i = 0.
-1, 0, 1/10, 1
Let 7*n**4/2 + 36*n**3 - 617*n**2/2 + 189*n + 80 = 0. Calculate n.
-16, -2/7, 1, 5
Factor 12*w**3 + 248*w**2 + 772*w + 408.
4*(w + 3)*(w + 17)*(3*w + 2)
Find b such that 2*b**2 + 2016*b = 0.
-1008, 0
Let -4*u**5/5 + 88*u**4/5 - 132*u**3 + 1872*u**2/5 - 1296*u/5 = 0. Calculate u.
0, 1, 6, 9
Let 6*b**5/5 + 15*b**4 - 42*b**3/5 - 39*b**2/5 = 0. Calculate b.
-13, -1/2, 0, 1
Suppose -f**2/8 - 17*f/8 - 2 = 0. Calculate f.
-16, -1
Factor -2*r**3/11 + 6*r**2/11 + 50*r/11 + 42/11.
-2*(r - 7)*(r + 1)*(r + 3)/11
Factor 4*h**5 + 24*h**4 + 32*h**3 - 8*h**2 - 36*h - 16.
4*(h - 1)*(h + 1)**3*(h + 4)
Find x such that x**4 - 19*x**3 + 104*x**2 - 116*x - 240 = 0.
-1, 4, 6, 10
Find s, given that 4*s**5/3 + 31*s**4/3 + 56*s**3/3 - 16*s**2/3 = 0.
-4, 0, 1/4
Let -8*b**3/9 - 194*b**2/9 - 376*b/3 - 30 = 0. What is b?
-15, -9, -1/4
Factor -4*c**3/3 + 16*c**2/3 + 236*c/3 - 168.
-4*(c - 9)*(c - 2)*(c + 7)/3
Factor 3*a**4/5 - 36*a**3/5 + 18*a**2 - 84*a/5 + 27/5.
3*(a - 9)*(a - 1)**3/5
Find o such that -4*o**4 - 96*o**3 - 72*o**2 + 448*o - 276 = 0.
-23, -3, 1
Solve 2*z**2/5 - 86*z/5 - 276/5 = 0.
-3, 46
Find t, given that -5*t**3 + 105*t**2 = 0.
0, 21
Let o**5/5 - o**4/5 - 3*o**3/5 + o**2 - 2*o/5 = 0. Calculate o.
-2, 0, 1
What is v in 4*v**3 - 220*v**2 - 452*v - 228 = 0?
-1, 57
Factor -z**4/3 - z**3/3 + 22*z**2/3 + 40*z/3.
-z*(z - 5)*(z + 2)*(z + 4)/3
Suppose 2*k**3/3 + 122*k**2 + 120*k - 728/3 = 0. Calculate k.
-182, -2, 1
Solve -b**4/2 - 41*b**3/2 - 39*b**2/2 + 41*b/2 + 20 = 0.
-40, -1, 1
Solve -2*b**5 - 6*b**4 + 6*b**3 + 22*b**2 + 12*b = 0.
-3, -1, 0, 2
Solve 2*o**4/13 + 678*o**3/13 - 2048*o**2/13 + 1368*o/13 = 0.
-342, 0, 1, 2
What is i in -4*i**3 - 124*i**2 - 112*i + 240 = 0?
-30, -2, 1
Solve 35*x**4 - 80*x**3 + 30*x**2 + 40*x - 25 = 0.
-5/7, 1
Factor -4*j**3 + 124*j**2 - 120*j.
-4*j*(j - 30)*(j - 1)
Factor m**3 + 29*m**2 + 103*m + 75.
(m + 1)*(m + 3)*(m + 25)
Find w such that w**5 + 3*w**4 - 4*w**2 = 0.
-2, 0, 1
Factor a**3/7 + 12*a**2 + 83*a/7.
a*(a + 1)*(a + 83)/7
Factor 2*x**5 + 8*x**4 + 8*x**3 - 4*x**2 - 10*x - 4.
2*(x - 1)*(x + 1)**3*(x + 2)
Let -q**3/4 - 5*q**2/4 - 3*q/2 = 0. Calculate q.
-3, -2, 0
Factor -2*v**3/5 + 18*v**2/5 - 48*v/5 + 8.
-2*(v - 5)*(v - 2)**2/5
Factor -16*t**3 - 44*t**2 - 20*t + 8.
-4*(t + 1)*(t + 2)*(4*t - 1)
Let -5*x**5 + 5*x**4 + 145*x**3 + 135*x**2 - 540*x - 540 = 0. What is x?
-3, -1, 2, 6
Let 3*s**3 + 480*s**2 = 0. What is s?
-160, 0
Factor 3*x**5 + 5556*x**4 + 2561292*x**3 - 10311936*x**2 + 10334208*x.
3*x*(x - 2)**2*(x + 928)**2
Find c, given that 5*c**2 - 475*c = 0.
0, 95
Factor -a**3/6 - 247*a**2/6 - 491*a/6 - 245/6.
-(a + 1)**2*(a + 245)/6
Determine b so that -210*b**3 - 215*b**2 - 5*b = 0.
-1, -1/42, 0
Factor 2*b**5/3 + 2*b**4/3 - 4*b**3/3.
2*b**3*(b - 1)*(b + 2)/3
Let -3*l**5 + 450*l**4 - 14982*l**3 - 141756*l**2 - 313551*l - 187230 = 0. Calculate l.
-5, -2, -1, 79
Determine z so that -2*z**2/5 + 108*z/5 = 0.
0, 54
Factor -4*s**3 + 116*s**2 - 216*s.
-4*s*(s - 27)*(s - 2)
Let -u**4/6 - 43*u**3/6 - 32*u**2 - 34*u/3 + 152/3 = 0. What is u?
-38, -4, -2, 1
Factor -3*u**2 + 273*u + 2058.
-3*(u - 98)*(u + 7)
Factor -3*t**2 - 16290*t - 22113675.
-3*(t + 2715)**2
Let 5*b**5 - 37295*b**4 + 69564490*b**3 - 69489910*b**2 - 69564495*b + 69527205 = 0. What is b?
-1, 1, 3729
Factor -5*u**4 - 55*u**3 + 195*u**2 + 2295*u - 2430.
-5*(u - 6)*(u - 1)*(u + 9)**2
Determine h, given that -4*h**5/3 + 8*h**4/3 + 20*h**3/3 - 40*h**2/3 - 16*h/3 + 32/3 = 0.
-2, -1, 1, 2
Find p, given that -2*p**5/11 - 4*p**4/11 + 18*p**3/11 + 4*p**2/11 - 16*p/11 = 0.
-4, -1, 0, 1, 2
Factor 3*z**4/5 - 12*z**3/5 - 33*z**2/5 - 18*z/5.
3*z*(z - 6)*(z + 1)**2/5
Suppose 180*v**3 - 264*v**2 + 92*v - 8 = 0. Calculate v.
2/15, 1/3, 1
Factor -9*b**2/8 - 523*b/4 - 29.
-(b + 116)*(9*b + 2)/8
Find k, given that 5*k**5 + 620*k**4 + 19830*k**3 + 37820*k**2 + 18605*k = 0.
-61, -1, 0
Find y such that -20*y**5 + 125*y**4 - 130*y**3 + 25*y**2 = 0.
0, 1/4, 1, 5
Factor -2*f**3 - 118*f**2 + 244*f.
-2*f*(f - 2)*(f + 61)
Factor w**2 + 60*w - 469.
(w - 7)*(w + 67)
Factor -5*p**5 + 110*p**4 - 470*p**3 + 800*p**2 - 605*p + 170.
-5*(p - 17)*(p - 2)*(p - 1)**3
Factor -49*t**4 + 875*t**3 - 4884*t**2 + 44528*t/7 + 85184/7.
-(t + 1)*(7*t - 44)**3/7
Determine g so that -2*g**5 - 13*g**4 