5*w.
-5*w*(w + 5)
Let 3*q**5 + 53*q**4/2 + 135*q**3/2 + 36*q**2 - 8*q = 0. What is q?
-4, -1, 0, 1/6
Factor 4*y**4 - 4*y**2.
4*y**2*(y - 1)*(y + 1)
Find r, given that r**3/7 - 209*r**2/7 + 1545*r + 1575 = 0.
-1, 105
Factor -2*m**3/7 + 398*m**2/7.
-2*m**2*(m - 199)/7
Find x such that 2*x**4/11 + 2*x**3/11 - 74*x**2/11 - 22*x - 168/11 = 0.
-4, -3, -1, 7
Determine m, given that -15*m**2 + 14*m + 1 = 0.
-1/15, 1
Determine n, given that -8*n**5/5 - 436*n**4/5 - 3294*n**3/5 + 1121*n**2 - 2914*n/5 + 99 = 0.
-45, -11, 1/2
Factor k**2/2 - 1951*k + 3901/2.
(k - 3901)*(k - 1)/2
What is g in g**3/2 + 13*g**2/2 + 6*g = 0?
-12, -1, 0
Factor 5*r**4 + 30*r**3 + 15*r**2 - 50*r.
5*r*(r - 1)*(r + 2)*(r + 5)
Determine k, given that -k**3/3 - 95*k**2/3 + 2321*k/3 + 805 = 0.
-115, -1, 21
Let -b**4/6 + 145*b**3/3 - 21313*b**2/6 + 6960*b - 3456 = 0. What is b?
1, 144
Find l such that -105*l**2 + 5*l = 0.
0, 1/21
Find m, given that -2*m**3/9 - 22*m**2/9 - 80*m/9 - 32/3 = 0.
-4, -3
Factor 3*j**5 - 3*j**4 - 12*j**3 + 12*j**2.
3*j**2*(j - 2)*(j - 1)*(j + 2)
Find b, given that b**3/2 - b**2 - 13*b/2 - 5 = 0.
-2, -1, 5
What is u in -4*u**3 + 15616*u**2 = 0?
0, 3904
Solve i**4 + i**3 - 7*i**2 - 13*i - 6 = 0.
-2, -1, 3
Let 21*f**4/4 + 41*f**3/4 + 17*f**2/4 - 5*f/4 - 1/2 = 0. What is f?
-1, -2/7, 1/3
Find c such that -2*c**3/11 + 40*c**2/11 + 8*c = 0.
-2, 0, 22
Let 4*l**4 + 8*l**3 - 8*l - 4 = 0. What is l?
-1, 1
Let 3*f**4 - 12*f**3 + 3*f**2 + 18*f = 0. What is f?
-1, 0, 2, 3
Solve j**2 - 142*j + 5041 = 0.
71
Factor -p**4/5 + 1727*p**3/5 - 198720*p**2 + 190107648*p/5 + 191102976/5.
-(p - 576)**3*(p + 1)/5
Find c, given that c**2/6 - 7*c/3 + 4 = 0.
2, 12
Factor -2*x**4 - 14*x**3 + 6*x**2 + 46*x + 28.
-2*(x - 2)*(x + 1)**2*(x + 7)
Suppose -t**2 + 68*t - 1156 = 0. What is t?
34
Factor -4*f**2 - 67*f/2 - 51.
-(f + 2)*(8*f + 51)/2
Solve -3*j**4/2 - 291*j**3/2 - 285*j**2 = 0.
-95, -2, 0
Let -2*r**5/5 - 2*r**4/5 + 18*r**3/5 - 22*r**2/5 + 8*r/5 = 0. What is r?
-4, 0, 1
Factor v**2/6 + 31*v/6 + 25.
(v + 6)*(v + 25)/6
Determine c so that -4*c**5 + 44*c**4 + 180*c**3 - 124*c**2 - 592*c - 336 = 0.
-3, -1, 2, 14
Determine u, given that 2*u**3 - 6*u**2 = 0.
0, 3
Determine d so that d**4/10 + 13*d**3/5 - 3*d**2/10 - 38*d/5 + 26/5 = 0.
-26, -2, 1
Determine n so that 2*n**3 - 12*n**2 + 10*n = 0.
0, 1, 5
Find a, given that -3*a**2/2 + 9*a + 945/2 = 0.
-15, 21
Determine y, given that -2*y**5/13 + 2*y**4/13 + 30*y**3/13 + 46*y**2/13 + 20*y/13 = 0.
-2, -1, 0, 5
Factor -a**3/3 + 2*a**2/3.
-a**2*(a - 2)/3
Factor 9*v**2/5 + 11*v/5 + 2/5.
(v + 1)*(9*v + 2)/5
Factor 6*o**3 + 354*o**2/7 - 636*o/7 + 240/7.
6*(o - 1)*(o + 10)*(7*o - 4)/7
Suppose 3*a**3/4 + 153*a**2/4 + 297*a/4 + 147/4 = 0. Calculate a.
-49, -1
Let 4*z**2 - 48*z + 44 = 0. What is z?
1, 11
Factor 3*k**3/2 - 87*k**2/2 - 420*k - 888.
3*(k - 37)*(k + 4)**2/2
Factor 2*w**3/9 - 2*w**2/3 - 128*w/9 + 128/3.
2*(w - 8)*(w - 3)*(w + 8)/9
Let 4*l**2 + 252*l + 248 = 0. What is l?
-62, -1
Factor 3*a**3 + 58*a**2 + 260*a - 200.
(a + 10)**2*(3*a - 2)
Solve i**2/7 + 13*i/7 + 30/7 = 0.
-10, -3
Factor k**4 - 221*k**3/3 - 767*k**2/3 - 77*k.
k*(k - 77)*(k + 3)*(3*k + 1)/3
Factor m**3/8 - 10*m**2 + 200*m.
m*(m - 40)**2/8
Find c such that 27*c**3/2 - 33*c**2 + 51*c/2 - 6 = 0.
4/9, 1
Find w such that 3*w**5 + 18*w**4 - 45*w**3 + 24*w**2 = 0.
-8, 0, 1
Factor x**4 - 28*x**3 + 53*x**2 - 26*x.
x*(x - 26)*(x - 1)**2
What is n in 10*n**4 + 69*n**3 + 93*n**2 - 10*n = 0?
-5, -2, 0, 1/10
Solve -a**2/6 + 244*a/3 - 29768/3 = 0 for a.
244
Factor 3*u**3 + 9*u**2 - 3*u - 9.
3*(u - 1)*(u + 1)*(u + 3)
Determine o so that -o**2/4 - 143*o/4 = 0.
-143, 0
Factor 3*i**3 - 1017*i**2 + 114921*i - 4328691.
3*(i - 113)**3
Factor -4*s**2 - 104*s/5 - 96/5.
-4*(s + 4)*(5*s + 6)/5
Solve 5*l**4 - 80*l**3 + 210*l**2 - 200*l + 65 = 0 for l.
1, 13
Factor -14*f**3 - 1310*f**2 - 5216*f/7 - 744/7.
-2*(f + 93)*(7*f + 2)**2/7
Factor a**4/4 + 83*a**3 - 167*a**2/2 - 83*a + 333/4.
(a - 1)**2*(a + 1)*(a + 333)/4
What is k in -2*k**4/3 - 20*k**3/3 + 60*k + 54 = 0?
-9, -3, -1, 3
Factor -6*i**3/7 - 330*i**2/7 - 6000*i/7 - 36000/7.
-6*(i + 15)*(i + 20)**2/7
Factor 2*m**3 + 40*m**2 + 266*m + 588.
2*(m + 6)*(m + 7)**2
Determine w, given that 2*w**3 + 96*w**2 + 1152*w = 0.
-24, 0
Solve -50*o**5 - 110*o**4 - 78*o**3 - 18*o**2 = 0.
-1, -3/5, 0
Find g such that g**5 - 9*g**4 - 52*g**3 - 16*g**2 + 192*g + 208 = 0.
-2, 2, 13
Factor 3*z**4 - 33*z**3 + 111*z**2 - 135*z + 54.
3*(z - 6)*(z - 3)*(z - 1)**2
Factor g**3 + g**2 - 10*g + 8.
(g - 2)*(g - 1)*(g + 4)
Suppose -4*k**2 - 12*k + 72 = 0. Calculate k.
-6, 3
Let -2*m**2/3 - 124*m/3 + 176 = 0. Calculate m.
-66, 4
Suppose q**5/6 + q**4/2 - q**3 - 5*q**2/3 + 7*q/2 - 3/2 = 0. Calculate q.
-3, 1
What is g in -25*g**5 - 615*g**4 + 1599*g**3 - 565*g**2 + 54*g = 0?
-27, 0, 1/5, 2
Factor 4*f**3/7 - 92*f**2/7 - 96*f/7.
4*f*(f - 24)*(f + 1)/7
Factor h**2 + 281*h - 566.
(h - 2)*(h + 283)
Factor -a**3/4 + 8763*a**2/4 - 25596723*a/4 + 24922675961/4.
-(a - 2921)**3/4
Factor -h**5/5 + h**4/5 + 11*h**3/5 - 29*h**2/5 + 26*h/5 - 8/5.
-(h - 2)*(h - 1)**3*(h + 4)/5
Determine r, given that 2*r**2/9 - 2*r/9 - 40/9 = 0.
-4, 5
Factor -5*c**4 + 20*c**3 - 10*c**2 - 20*c + 15.
-5*(c - 3)*(c - 1)**2*(c + 1)
Find m such that -9*m**5/4 + 21*m**4 - 81*m**3/2 + 27*m**2 - 21*m/4 = 0.
0, 1/3, 1, 7
Factor 5*f**4/2 + 25*f**3/2 - 55*f**2 - 140*f.
5*f*(f - 4)*(f + 2)*(f + 7)/2
Let -2*c**4/7 - 46*c**3/21 - 74*c**2/21 + 10*c/7 = 0. What is c?
-5, -3, 0, 1/3
Factor -3*s**5 + 117*s**4 + 2370*s**3 + 14250*s**2 + 32625*s + 20625.
-3*(s - 55)*(s + 1)*(s + 5)**3
Determine j so that j**5/2 + 5*j**4/2 - 29*j**3/2 - 37*j**2/2 + 14*j + 16 = 0.
-8, -1, 1, 4
Factor 2*m**3 - 1600*m**2 + 320000*m.
2*m*(m - 400)**2
What is h in -2*h**2 - 1322*h - 1320 = 0?
-660, -1
Factor 5*b**2 + 30*b + 45.
5*(b + 3)**2
Find d, given that 5*d**3 - 560*d**2 - 4800*d = 0.
-8, 0, 120
Find u, given that -u**2/3 + 5*u = 0.
0, 15
Factor v**3/4 + 2*v**2 - 43*v/4 - 55/2.
(v - 5)*(v + 2)*(v + 11)/4
Find v such that -5*v**4 - 480*v**3 - 11030*v**2 + 23520*v - 12005 = 0.
-49, 1
Suppose 4*m**4/13 - 10*m**3/13 - 40*m**2/13 + 70*m/13 - 24/13 = 0. Calculate m.
-3, 1/2, 1, 4
What is r in 4*r**4/3 + 12*r**3 - 144*r = 0?
-6, 0, 3
Determine h so that -6*h**5/13 + 166*h**4/13 - 412*h**3/13 + 300*h**2/13 + 2*h/13 - 50/13 = 0.
-1/3, 1, 25
Factor 10*j**2/11 + 816*j/11 - 328/11.
2*(j + 82)*(5*j - 2)/11
Let i**4/4 + 35*i**3 - 1317*i**2/4 + 890*i - 596 = 0. Calculate i.
-149, 1, 4
Factor j**4/4 - 3*j**3/4 - 3*j**2/4 + 7*j/4 + 3/2.
(j - 3)*(j - 2)*(j + 1)**2/4
Suppose h**2 + 26*h + 133 = 0. What is h?
-19, -7
Determine m, given that -m**2 + 9*m - 8 = 0.
1, 8
Let -3*a**3 + 18*a**2 + 45*a + 24 = 0. What is a?
-1, 8
Factor 2*s**3/9 + 728*s**2/9 - 2*s/9 - 728/9.
2*(s - 1)*(s + 1)*(s + 364)/9
Determine q, given that 522*q**3/5 - 138*q**2/5 - 72*q - 24/5 = 0.
-2/3, -2/29, 1
Determine s, given that -6*s**2 + 128*s/7 + 104/7 = 0.
-2/3, 26/7
Determine o, given that -4*o**5 - 24*o**4 + 27*o**3 + 189*o**2 + 162*o = 0.
-6, -3/2, 0, 3
Find i, given that i**3 + 23*i**2 - 134*i + 168 = 0.
-28, 2, 3
Let -2*h**4/3 - 32*h**3/3 - 82*h**2/3 - 52*h/3 = 0. What is h?
-13, -2, -1, 0
What is h in -2*h**2 - 344*h - 342 = 0?
-171, -1
Factor -i**3/2 - 9*i**2/2 - 27*i/2 - 27/2.
-(i + 3)**3/2
Solve -1972*k**3/3 + 5256*k**2 - 10496*k - 128/3 = 0 for k.
-2/493, 4
Factor -2*m**4 - 38*m**3 - 36*m**2.
-2*m**2*(m + 1)*(m + 18)
Factor 2*i**2/15 - 32*i/5 + 224/3.
2*(i - 28)*(i - 20)/15
Factor 3*f**3 + 36*f**2 - 3*f - 36.
3*(f - 1)*(f + 1)*(f + 12)
Determine o so that -o**5/4 + 5*o**4/2 + o**3/2 - 32*o**2 - 217*o/4 - 49/2 = 0.
-2, -1, 7
Let -68*c**2 + 296*c - 320 = 0. Calculate c.
2, 40/17
Factor g**5 + 2*g**4 - 30*g**3 - 92*g**2 - 91*g - 30.
(g - 6)*(g + 1)**3*(g + 5)
Factor 4*l**4 - 292*l**3 - 1220*l**2 - 924*l.
4*l*(l - 77)*(l + 1)*(l + 3)
What is j in 3*j**2 - 300*j + 7500 = 0?
50
Solve -2*z**5/5 - 4*z**4/5 + 132*z**3/5 + 16*z**2/5 - 74*z - 252/5 = 0.
-9, -1, 2, 7
Find r such that -12*r**5/7 + 32*r**4 - 444*r**3/7 - 1096*r**2/7 + 96*r/7 + 512/7 = 0.
-1, 2/3, 4, 16
Let -3*o**5/4 + 33*o**4/4 + 117*o**3/4 - 537*o**2/4 + 195*o/2 = 0. Calculate o.
-5, 0, 1, 2, 13
Find t such that 18*t**5 + 204*t**4 + 230*t**3 - 124*t**2 - 248*t - 80 = 0.
-10, -1, -2/3, 1
Find o such that 45*o**4/2 - 1225*o**3/2 + 