?
0, 1, 9/4, 17
Factor -3*q**2 + 483*q + 2490.
-3*(q - 166)*(q + 5)
Factor 100*d**3 - 84*d**2 - 16*d.
4*d*(d - 1)*(25*d + 4)
Determine t so that 3*t**3/4 - 117*t**2/4 + 1089*t/4 - 975/4 = 0.
1, 13, 25
Find z, given that -2*z**4/17 - 38*z**3/17 + 40*z**2/17 = 0.
-20, 0, 1
Factor -b**3/2 - 115*b**2/2 + 177*b.
-b*(b - 3)*(b + 118)/2
Let l**4/4 + 11*l**3/2 + 77*l**2/4 + 23*l + 9 = 0. What is l?
-18, -2, -1
Factor -22*p**3/13 + 4*p**2/13.
-2*p**2*(11*p - 2)/13
Let -63*h**3 - 96*h**2 - 36*h = 0. Calculate h.
-6/7, -2/3, 0
Determine o so that 8*o**4/3 - 226*o**3/9 + 26*o**2/3 + 106*o/9 + 2 = 0.
-1/3, -1/4, 1, 9
Factor -2*r**2/3 + 4*r/3 + 10.
-2*(r - 5)*(r + 3)/3
Factor -2*q**3 + 2*q**2 + 4*q.
-2*q*(q - 2)*(q + 1)
Factor -2*a**3/11 - 394*a**2/11 - 392*a/11.
-2*a*(a + 1)*(a + 196)/11
Factor -m**4/2 + 43*m**3/2 + 23*m**2 - 44*m.
-m*(m - 44)*(m - 1)*(m + 2)/2
Let -2*h**3 + 28*h**2 - 112*h + 128 = 0. What is h?
2, 4, 8
Suppose 4*h**2/3 - 44*h + 248/3 = 0. What is h?
2, 31
Determine b, given that -b**4/3 + 2*b**3 - 7*b**2/3 - 2*b + 8/3 = 0.
-1, 1, 2, 4
Suppose 45*w**2 - 130*w + 80 = 0. Calculate w.
8/9, 2
Factor 15*l**3 - 28*l**2 + 11*l + 2.
(l - 1)**2*(15*l + 2)
Factor 6*z**4 - 10*z**3 - 2*z**2 + 10*z - 4.
2*(z - 1)**2*(z + 1)*(3*z - 2)
Solve -2*t**2/5 + 7348*t/5 - 6749138/5 = 0 for t.
1837
Let 3*x**3 + 4986*x**2 + 2071683*x = 0. What is x?
-831, 0
Determine m so that 13*m**3 - 12*m**2 - 13*m + 12 = 0.
-1, 12/13, 1
Factor 16*t**3 - 108*t**2 + 132*t + 40.
4*(t - 5)*(t - 2)*(4*t + 1)
Factor 18*a**2 + 40*a - 42.
2*(a + 3)*(9*a - 7)
Factor 2*f**3/7 + 1104*f**2/7 + 203136*f/7 + 12459008/7.
2*(f + 184)**3/7
Factor -2*b**4 - 34*b**3 + 670*b**2 - 3150*b + 4500.
-2*(b - 5)**2*(b - 3)*(b + 30)
Suppose -l**3/10 - 7*l**2/5 + 69*l/10 - 27/5 = 0. What is l?
-18, 1, 3
Let a**5/4 - 5*a**4 + 59*a**3/4 + 83*a**2 + 63*a = 0. Calculate a.
-2, -1, 0, 9, 14
Factor 2*c**3/11 - 248*c**2/11 + 4360*c/11 - 20800/11.
2*(c - 104)*(c - 10)**2/11
Let -8*s**2 - 6330*s - 1582 = 0. What is s?
-791, -1/4
Suppose -3*t**3/7 - 153*t**2/7 - 297*t/7 - 21 = 0. Calculate t.
-49, -1
Suppose s**3/5 + 16*s**2/5 + 51*s/5 + 36/5 = 0. Calculate s.
-12, -3, -1
Factor 4*b**4 - 504*b**3 - 1020*b**2 - 512*b.
4*b*(b - 128)*(b + 1)**2
Determine w so that -w**2/5 - 41*w/10 + 21/10 = 0.
-21, 1/2
Factor u**2/6 + 13*u + 77/6.
(u + 1)*(u + 77)/6
Solve -4*q**4 + 336*q**3 + 5748*q**2 + 19264*q - 25344 = 0 for q.
-8, 1, 99
Factor -6*p**2/11 - 42*p/11 + 1368/11.
-6*(p - 12)*(p + 19)/11
Determine f so that 2*f**2/3 + 12*f - 806/3 = 0.
-31, 13
What is r in -5*r**3 + 4125*r**2 - 24615*r + 36855 = 0?
3, 819
What is x in -2*x**5/5 + 4*x**4/5 + 4*x**3/5 - 16*x**2/5 + 14*x/5 - 4/5 = 0?
-2, 1
Factor -4*b**5 + 12*b**4 - 16*b**2.
-4*b**2*(b - 2)**2*(b + 1)
Solve -2*i**2/9 + 34*i/3 = 0.
0, 51
What is i in -2*i**4/13 - 28*i**3/13 - 146*i**2/13 - 336*i/13 - 288/13 = 0?
-4, -3
Solve -75*q**4 + 444*q**3 - 564*q**2 - 48*q = 0 for q.
-2/25, 0, 2, 4
Factor -8*v**5 - 70*v**4 - 240*v**3 - 400*v**2 - 320*v - 96.
-2*(v + 2)**4*(4*v + 3)
Solve 2*q**2 - 8612*q + 9270818 = 0 for q.
2153
Factor -p**2 + 102*p - 2601.
-(p - 51)**2
Let -2*l**5 - 32*l**4 - 58*l**3 - 28*l**2 = 0. Calculate l.
-14, -1, 0
Suppose -24*q**3/7 + 3*q**2/7 + 24*q/7 - 3/7 = 0. What is q?
-1, 1/8, 1
Find n such that -n**5 - 3*n**4 + 7*n**3 + 11*n**2 - 6*n - 8 = 0.
-4, -1, 1, 2
Factor -x**3/2 - 19*x**2/2 - 35*x/2 - 17/2.
-(x + 1)**2*(x + 17)/2
Solve -s**4/4 + 27*s**3/4 - 193*s**2/4 + 117*s/4 + 169/2 = 0.
-1, 2, 13
Determine j, given that 2*j**5/3 - 24*j**4/5 - 172*j**3/5 - 704*j**2/15 - 66*j/5 + 24/5 = 0.
-3, -1, 1/5, 12
Find p, given that -p**2 - 13*p + 14 = 0.
-14, 1
Find l, given that l**4/4 - 6*l**3 + 183*l**2/4 - 115*l + 75 = 0.
1, 3, 10
Factor -d**5 + 42*d**4 - 517*d**3 + 1596*d**2 - 1444*d.
-d*(d - 19)**2*(d - 2)**2
Factor x**2 - 276*x + 2660.
(x - 266)*(x - 10)
Suppose -7*s**3/2 - 76*s**2 + 2585*s/2 - 363 = 0. What is s?
-33, 2/7, 11
Find g such that -g**5 + 29*g**4 - 79*g**3 + 23*g**2 + 80*g - 52 = 0.
-1, 1, 2, 26
Factor 3*o**2/7 - 135*o/7 - 1272/7.
3*(o - 53)*(o + 8)/7
Determine l, given that -2*l**2/19 + 2396*l/19 - 4784/19 = 0.
2, 1196
Factor 2*a**3/3 - 34*a**2 + 66*a - 98/3.
2*(a - 49)*(a - 1)**2/3
Factor q**2/3 + 414*q + 128547.
(q + 621)**2/3
What is s in -28090*s**4 - 11925*s**3 + 1020*s**2 - 20*s = 0?
-1/2, 0, 2/53
Factor o**2/2 + 79*o + 157/2.
(o + 1)*(o + 157)/2
Let l**5/2 - 19*l**4 + 51*l**3/2 + 369*l**2 + 324*l = 0. Calculate l.
-3, -1, 0, 6, 36
Factor 2*x**3/5 + 18*x**2 + 334*x/5 + 246/5.
2*(x + 1)*(x + 3)*(x + 41)/5
Find s such that 2*s**3/3 + 172*s**2/3 - 6*s - 516 = 0.
-86, -3, 3
Factor -2*p**3 + 2818*p**2 - 994048*p + 991232.
-2*(p - 704)**2*(p - 1)
Determine t so that -t**5/5 - 4*t**4/5 + t**3 = 0.
-5, 0, 1
Factor 2*v**2/9 - 376*v/9 + 17672/9.
2*(v - 94)**2/9
Find o, given that o**3 - 1740*o**2 + 6948*o - 6944 = 0.
2, 1736
Find z such that -2*z**4/11 + 6*z**3/11 - 2*z**2/11 - 6*z/11 + 4/11 = 0.
-1, 1, 2
Factor 4*t**4 - 23*t**3 + 30*t**2 - 7*t - 4.
(t - 4)*(t - 1)**2*(4*t + 1)
Factor -2*g**3/9 + 26*g**2/9 + 28*g/9.
-2*g*(g - 14)*(g + 1)/9
Factor -l**2 - 316*l + 957.
-(l - 3)*(l + 319)
Let -3*j**2 - 111*j - 480 = 0. What is j?
-32, -5
Factor t**4 + t**3 - t**2 - t.
t*(t - 1)*(t + 1)**2
Factor -11*c**2 - 17*c - 6.
-(c + 1)*(11*c + 6)
Factor c**4/2 - 81*c**3/2 - 211*c**2 - 342*c - 172.
(c - 86)*(c + 1)*(c + 2)**2/2
What is k in -2*k**2 - 32*k - 78 = 0?
-13, -3
Factor -3*y**4/2 - 93*y**3 - 363*y**2/2 - 90*y.
-3*y*(y + 1)**2*(y + 60)/2
Factor r**2/9 - 2*r.
r*(r - 18)/9
Find n, given that 6*n**4/7 - 114*n**3/7 - 60*n**2 + 528*n/7 = 0.
-4, 0, 1, 22
Suppose -3*v**4/7 + 96*v**3 + 678*v**2/7 - 96*v - 675/7 = 0. Calculate v.
-1, 1, 225
Factor 3*x**3 - 162*x**2 - 687*x - 522.
3*(x - 58)*(x + 1)*(x + 3)
Suppose c**5 + c**4 - 13*c**3 - c**2 + 48*c - 36 = 0. What is c?
-3, 1, 2
Factor 4*v**3 + 68*v**2 - 4*v - 68.
4*(v - 1)*(v + 1)*(v + 17)
Factor -c**2/3 - 14*c/3 + 95/3.
-(c - 5)*(c + 19)/3
Find h such that -2*h**2 + 14576*h - 26557472 = 0.
3644
Find g, given that -5*g**5 - 260*g**4 - 3625*g**3 - 6250*g**2 = 0.
-25, -2, 0
Solve -3*s**5/7 - 24*s**4/7 - 51*s**3/7 + 6*s**2/7 + 72*s/7 = 0 for s.
-4, -3, -2, 0, 1
Factor -2*j**5/7 + 10*j**4/7 - 12*j**3/7.
-2*j**3*(j - 3)*(j - 2)/7
Find n such that 2*n**3/13 + 40*n**2/13 = 0.
-20, 0
What is x in -3*x**2/5 - 192*x/5 - 549/5 = 0?
-61, -3
Factor f**3/4 - 15*f**2/4 + 63*f/4 - 49/4.
(f - 7)**2*(f - 1)/4
Suppose 3*w**4 + 6*w**3 - 3*w**2 - 6*w = 0. Calculate w.
-2, -1, 0, 1
Let -3*w**5/2 + 33*w**4/2 - 57*w**3/2 + 27*w**2/2 = 0. What is w?
0, 1, 9
Determine g, given that 147*g**2/2 - 63*g + 27/2 = 0.
3/7
Suppose -3*c**3/7 - 129*c**2/7 - 237*c/7 + 369/7 = 0. What is c?
-41, -3, 1
Solve 3*f**3 + 51*f**2 - 60*f - 108 = 0 for f.
-18, -1, 2
Factor 169*r**2 + 5382*r + 42849.
(13*r + 207)**2
Factor -4*x**4 - 168*x**3 + 348*x**2 - 176*x.
-4*x*(x - 1)**2*(x + 44)
Find t such that t**2 - 61*t = 0.
0, 61
Factor h**5 + 13*h**4/2 + 15*h**3 + 16*h**2 + 8*h + 3/2.
(h + 1)**3*(h + 3)*(2*h + 1)/2
Factor 2*s**3 + 62*s**2 - 64*s.
2*s*(s - 1)*(s + 32)
Let -39*p**3 - 3*p**2 = 0. What is p?
-1/13, 0
Find d such that 1323*d**4/4 - 630*d**3 + 426*d**2 - 120*d + 12 = 0.
2/7, 2/3
Solve -24*d**4 - 146*d**3 + 12*d**2 + 146*d + 12 = 0 for d.
-6, -1, -1/12, 1
Let -5*c**3 - 5*c**2 + 40*c + 60 = 0. Calculate c.
-2, 3
Solve 4*w**5 + 49*w**4 + 160*w**3 + 61*w**2 - 218*w - 56 = 0.
-7, -4, -2, -1/4, 1
Suppose 40*f**2 - 84*f + 32 = 0. Calculate f.
1/2, 8/5
Find h such that -h**5/10 + 14*h**4/5 - 189*h**3/10 - 19*h**2 + 602*h/5 + 588/5 = 0.
-2, -1, 3, 14
Determine w so that -5*w**5 + 35*w**4 + 25*w**3 - 375*w**2 = 0.
-3, 0, 5
Find b such that -b**3 + 6*b**2 - 5*b - 12 = 0.
-1, 3, 4
Suppose 3*t**3/5 - 459*t**2/5 + 17784*t/5 - 17328/5 = 0. What is t?
1, 76
Factor -2*g**2/9 + 4*g/3.
-2*g*(g - 6)/9
Factor -2*o**2/3 + 44*o/3.
-2*o*(o - 22)/3
Factor -5*h**4 + 395*h**3.
-5*h**3*(h - 79)
Solve s**5 - 4*s**4 + 6*s**3 - 4*s**2 + s = 0.
0, 1
Determine x so that x**3/5 + x**2/5 - 4*x/5 - 4/5 = 0.
-2, -1, 2
Let a**5/3 - 100*a**4 + 10000*a**3 - 1000000*a**2/3 = 0. Calculate a.
0, 100
Solve -2*p**4 + 222*p**3 - 438*p**2 + 218*p = 0.
0, 1, 109
Let -q**5 + 21*q**4 - 170*q**3 + 664*q**2 - 1248*q + 896 = 0. What is q?
2, 4, 7
Solve -4*s**3/9 + 84*s**2 - 11780*s/3 - 36100/9 = 0 f