00*f**2 + 20*f + 800 = 0.
-40, -2, 2
Find u such that 2*u**3/7 - 12*u**2/7 + 64/7 = 0.
-2, 4
Let -14*q**3/5 + 2*q**2/5 = 0. Calculate q.
0, 1/7
Factor -5*b**2 - 8060*b - 3248180.
-5*(b + 806)**2
Solve -i**3/3 - 15*i**2 - 114*i - 216 = 0.
-36, -6, -3
Factor 15*n**3/4 + 485*n**2/4 - 165*n/2.
5*n*(n + 33)*(3*n - 2)/4
Solve 2*n**2 - 10*n - 12 = 0.
-1, 6
Factor -5*c**2 - 150*c - 1125.
-5*(c + 15)**2
Find z, given that z**2/7 - 3*z/7 + 2/7 = 0.
1, 2
Let -t**5 + 7*t**4 - 18*t**3 + 22*t**2 - 13*t + 3 = 0. What is t?
1, 3
Factor 2*r**5/13 + 4*r**4/13 - 6*r**3/13.
2*r**3*(r - 1)*(r + 3)/13
Solve -4*k**4 + 12*k**3 + 52*k**2 - 108*k - 144 = 0 for k.
-3, -1, 3, 4
Determine s, given that -2*s**4/3 + 58*s**3 + 734*s**2/3 - 170*s - 1092 = 0.
-3, 2, 91
Solve -4*f**4 + 44*f**3 + 308*f**2 + 228*f - 576 = 0.
-3, 1, 16
Suppose -v**2/4 + 7*v/4 - 3 = 0. What is v?
3, 4
Factor 4*w**5 - 20*w**4 + 12*w**3 + 36*w**2.
4*w**2*(w - 3)**2*(w + 1)
Factor -v**3 + 40*v**2 + 41*v.
-v*(v - 41)*(v + 1)
Factor -4*u**4 - 452*u**3 + 4*u**2 + 452*u.
-4*u*(u - 1)*(u + 1)*(u + 113)
Factor -h**2 - 902*h - 901.
-(h + 1)*(h + 901)
What is k in 5*k**3 + 210*k**2 + 2400*k + 4000 = 0?
-20, -2
Factor x**2/5 - 32*x/5.
x*(x - 32)/5
Factor 2*i**3/17 + 336*i**2/17 + 18816*i/17 + 351232/17.
2*(i + 56)**3/17
Let k**3 - 5*k**2 - 17*k + 21 = 0. What is k?
-3, 1, 7
Factor -2*j**4 + 8*j**2.
-2*j**2*(j - 2)*(j + 2)
Factor -4*d**4 + 144*d**3 - 1080*d**2 + 3024*d - 2916.
-4*(d - 27)*(d - 3)**3
Factor 5*w**2/2 - 265*w/2 + 1650.
5*(w - 33)*(w - 20)/2
Factor 2*t**4/3 - 2*t**2 + 4*t/3.
2*t*(t - 1)**2*(t + 2)/3
What is q in 2*q**3/9 - 1102*q**2/9 + 153440*q/9 - 150152/3 = 0?
3, 274
Factor 2*w**2 - 122*w - 660.
2*(w - 66)*(w + 5)
Factor 4*q**3 - 80*q**2 + 364*q.
4*q*(q - 13)*(q - 7)
Solve 2*g**4 - 12*g**3 + 6*g**2 + 20*g = 0.
-1, 0, 2, 5
Factor 2*u**3/19 + 8800*u**2/19 + 9680000*u/19.
2*u*(u + 2200)**2/19
Determine w, given that 4*w**4/9 - 64*w**3/9 + 40*w**2 - 800*w/9 + 500/9 = 0.
1, 5
Factor 3*w**2/4 - 21*w + 513/4.
3*(w - 19)*(w - 9)/4
Suppose 2*y**2/15 + 118*y/15 + 116/15 = 0. What is y?
-58, -1
Let -4*q**5 - 48*q**4 - 148*q**3 - 168*q**2 - 64*q = 0. What is q?
-8, -2, -1, 0
Factor -5*y**3 - 20*y**2 - 15*y.
-5*y*(y + 1)*(y + 3)
Factor -o**4 + 362*o**3 - 32761*o**2.
-o**2*(o - 181)**2
Factor -3*p**3 - 6*p**2 - 3*p.
-3*p*(p + 1)**2
Factor 3*b**3/4 - 2361*b**2/4 + 465705*b/4 - 463347/4.
3*(b - 393)**2*(b - 1)/4
Factor -4*w**4 - 184*w**3 - 356*w**2 - 176*w.
-4*w*(w + 1)**2*(w + 44)
Factor k**2 + 825*k - 4150.
(k - 5)*(k + 830)
What is y in -3*y**2/2 + 357*y/2 + 180 = 0?
-1, 120
Determine j, given that -2*j**3 + 42*j - 40 = 0.
-5, 1, 4
Factor x**2 - 35*x - 294.
(x - 42)*(x + 7)
Let -28*y**4 + 2052*y**3 - 40764*y**2 + 114380*y - 29400 = 0. What is y?
2/7, 3, 35
Factor 2*l**5/9 - 10*l**4/9 + 16*l**3/9 - 8*l**2/9.
2*l**2*(l - 2)**2*(l - 1)/9
Factor -m**2/5 + 773*m/5.
-m*(m - 773)/5
Factor 4*l**4 + 21552*l**3 + 43545816*l**2 + 39104142768*l + 13168320077124.
4*(l + 1347)**4
Solve 4*h**3 + 28*h**2 - 4*h - 28 = 0 for h.
-7, -1, 1
Determine i, given that -20*i**5 + 12*i**4 + 8*i**3 = 0.
-2/5, 0, 1
Factor -2*c**3/9 - 4*c**2/3 + 10*c + 100/9.
-2*(c - 5)*(c + 1)*(c + 10)/9
Factor 571787*k**3 + 124002*k**2 + 8964*k + 216.
(83*k + 6)**3
Factor -2*c**3/17 + 16*c**2 - 10010*c/17 + 50700/17.
-2*(c - 65)**2*(c - 6)/17
What is h in 2*h**2/9 + 130*h/9 + 124/3 = 0?
-62, -3
Determine q so that -5*q**3 - 30*q**2 + 5*q + 30 = 0.
-6, -1, 1
Let 20*t**2 - 32*t - 16 = 0. Calculate t.
-2/5, 2
Solve -15*n**4 + 6*n**3 + 180*n**2 + 168*n - 96 = 0.
-2, 2/5, 4
Factor -h**3 - 17*h**2 - 91*h - 147.
-(h + 3)*(h + 7)**2
Factor 2*a**2/11 - 10*a.
2*a*(a - 55)/11
Factor 12*f**4 - 3*f**3 - 972*f**2 + 243*f.
3*f*(f - 9)*(f + 9)*(4*f - 1)
Suppose 3*u**2/5 + 9*u/5 - 12/5 = 0. What is u?
-4, 1
What is l in -l**4/5 + l**3 + 19*l**2/5 - 29*l/5 - 42/5 = 0?
-3, -1, 2, 7
Solve -5*p**3 - 1935*p**2 + 3885*p - 1945 = 0.
-389, 1
Factor -3*q**2 - 21*q.
-3*q*(q + 7)
Factor -62500*h**4/3 - 252500*h**3/3 + 93600*h**2 - 93952*h/3 + 10240/3.
-4*(h + 5)*(25*h - 8)**3/3
Suppose m**2 - 7*m = 0. What is m?
0, 7
Factor p**3/5 - 4*p**2 + 112*p/5 - 192/5.
(p - 12)*(p - 4)**2/5
Determine k, given that -k**4/5 + 18*k**3/5 + 73*k**2/5 - 42*k = 0.
-5, 0, 2, 21
Factor -2*v**2/7 - 184*v/7 - 26.
-2*(v + 1)*(v + 91)/7
Factor 207*r**3 - 429*r**2 + 237*r - 15.
3*(r - 1)**2*(69*r - 5)
Factor 2*o**5/13 - 686*o**4/13 + 57788*o**3/13 + 177500*o**2/13 + 178882*o/13 + 59858/13.
2*(o - 173)**2*(o + 1)**3/13
Let o**5/8 + 9*o**4/8 - 49*o**3/8 + 39*o**2/8 = 0. Calculate o.
-13, 0, 1, 3
Factor -r**3/6 - 23*r**2 - 1058*r - 48668/3.
-(r + 46)**3/6
Factor -2*g**3/5 + 82*g**2/5 + 564*g/5.
-2*g*(g - 47)*(g + 6)/5
Factor h**4 + 43*h**3 - 680*h**2 + 2652*h - 2016.
(h - 6)**2*(h - 1)*(h + 56)
Solve -9*o**4 - 282*o**3 - 1776*o**2 + 7242*o + 2601 = 0.
-17, -1/3, 3
Find x such that -8*x**3/11 - 130*x**2 - 64436*x/11 - 47526/11 = 0.
-89, -3/4
Find w, given that -4*w**5 + 8*w**4 + 24*w**3 - 32*w**2 - 20*w + 24 = 0.
-2, -1, 1, 3
Factor -2*i**3 - 32*i**2 - 154*i - 196.
-2*(i + 2)*(i + 7)**2
Factor 16540489*n**4/3 + 553112*n**3/3 - 9304*n**2 - 544*n/3 + 16/3.
(49*n + 2)**2*(83*n - 2)**2/3
Suppose -35*z**4 - 200*z**3 + 60*z**2 = 0. What is z?
-6, 0, 2/7
Factor -w**5/4 - 3*w**4/2 + w**3 + 22*w**2 + 48*w + 32.
-(w - 4)*(w + 2)**3*(w + 4)/4
Find c, given that 3*c**5 - 9*c**4 - 15*c**3 + 9*c**2 + 12*c = 0.
-1, 0, 1, 4
Solve a**2/7 - 10*a = 0.
0, 70
Factor -10*u**5 - 65*u**4 + 35*u**3.
-5*u**3*(u + 7)*(2*u - 1)
Factor -4*t**3/3 - 5272*t**2 - 6948496*t - 9158117728/3.
-4*(t + 1318)**3/3
Find s, given that -2*s**4/3 + 142*s**3/3 + 592*s**2/3 + 200*s = 0.
-2, 0, 75
What is j in 2*j**4 - 34*j**3 + 148*j**2 - 176*j = 0?
0, 2, 4, 11
Factor -l**2/4 + 7*l + 429/4.
-(l - 39)*(l + 11)/4
Determine c so that -20*c**5 - 155*c**4 + 100*c**3 + 505*c**2 + 190*c - 80 = 0.
-8, -1, 1/4, 2
Factor 20*r**4 + 104*r**3 + 140*r**2 + 24*r.
4*r*(r + 2)*(r + 3)*(5*r + 1)
Factor -4*x**3 - 88*x**2 - 288*x.
-4*x*(x + 4)*(x + 18)
Let s**2 - 1047*s + 4172 = 0. Calculate s.
4, 1043
Let 2*q**5/13 + 38*q**4/13 - 2*q**3/13 - 38*q**2/13 = 0. What is q?
-19, -1, 0, 1
Determine g, given that -g**4 - 15*g**3/4 + g**2 = 0.
-4, 0, 1/4
Solve 21*p**4/8 - 27*p**3/8 - 39*p**2/4 + 27*p/2 - 3 = 0.
-2, 2/7, 1, 2
Suppose 5*h**4/6 + 7*h**3/2 - 85*h**2/6 + 29*h/2 - 14/3 = 0. Calculate h.
-7, 4/5, 1
Find l, given that -l**4 - 26*l**3 - 109*l**2 + 780*l - 900 = 0.
-15, 2
Factor -14161*a**4/3 - 13923*a**3 + 711*a**2 - 9*a.
-a*(a + 3)*(119*a - 3)**2/3
Solve u**5/7 + 2*u**4/7 - 4*u**3/7 - 8*u**2/7 = 0.
-2, 0, 2
Factor -4*n**3/5 + 12*n**2/5 + 88*n/5 - 96/5.
-4*(n - 6)*(n - 1)*(n + 4)/5
Determine s so that -s**2/4 - 290*s + 3489/4 = 0.
-1163, 3
Factor -s**2/4 - 5*s/4 - 3/2.
-(s + 2)*(s + 3)/4
Suppose f**4 + 126*f**3 - 385*f**2 + 258*f = 0. What is f?
-129, 0, 1, 2
Solve 20*u**3 + 92*u**2 - 41*u - 5 = 0.
-5, -1/10, 1/2
Determine r so that 108*r**5 + 72*r**4 - 69*r**3 - 27*r**2 + 6*r = 0.
-1, -1/2, 0, 1/6, 2/3
Factor 2*f**2/15 - 574*f/15 - 776/5.
2*(f - 291)*(f + 4)/15
Determine w, given that 2*w**2/7 - 198*w/7 - 200/7 = 0.
-1, 100
Let -441*g**3 - 777*g**2 + 216*g + 12 = 0. Calculate g.
-2, -1/21, 2/7
Factor -2*i**4/13 - 410*i**3/13 - 408*i**2/13.
-2*i**2*(i + 1)*(i + 204)/13
Let 41*o**2/3 - 2*o/3 = 0. Calculate o.
0, 2/41
Find n, given that 2*n**3/15 + 134*n**2/15 + 44*n/5 = 0.
-66, -1, 0
Factor -a**2/4 + 199*a/4 + 50.
-(a - 200)*(a + 1)/4
Find r such that 5*r**5 + 70*r**4 - 15*r**3 - 200*r**2 + 140*r = 0.
-14, -2, 0, 1
Determine d so that -3*d**5 - 183*d**4 - 2373*d**3 - 2193*d**2 = 0.
-43, -17, -1, 0
Factor 4418*v**2/3 + 15980*v/3 + 14450/3.
2*(47*v + 85)**2/3
Factor 4*y**2 + 2872*y + 5728.
4*(y + 2)*(y + 716)
Find a such that 4*a**5 - 82*a**4 + 1977*a**3/4 - 1517*a**2/2 + 1369*a/4 = 0.
0, 1, 37/4
Factor -3*j**2/2 - 213*j.
-3*j*(j + 142)/2
Find h, given that h**2/2 + 668*h + 1335/2 = 0.
-1335, -1
Factor g**4/7 - 6*g**3 - 864*g**2/7 + 38880*g/7.
g*(g - 36)**2*(g + 30)/7
Determine v so that -3*v**2 - 306*v - 2256 = 0.
-94, -8
Let -28*y**3 - 48*y**2 + 100*y - 24 = 0. Calculate y.
-3, 2/7, 1
Factor 2*j**5 + 449*j**4 + 202497*j**3/8 + 12572*j**2 + 1568*j.
j*(j + 112)**2*(4*j + 1)**2/8
Find p such that -2*p**2/9 - 110*p/9 - 500/9 = 0.
-50, -5
Suppose -3*q**2/4 - 234*q - 18252 =