 Calculate u.
-7, 0, 11, 16
Solve -3*g**4/2 + 12*g**3 - 36*g**2 + 48*g - 24 = 0.
2
Factor 4*w**2 - 92*w + 88.
4*(w - 22)*(w - 1)
Determine h so that 2*h**4 + 30*h**3 + 24*h**2 - 520*h + 672 = 0.
-12, -7, 2
Factor 3*h**5/2 - 3*h**4/2 - 36*h**3 - 60*h**2 + 24*h + 72.
3*(h - 6)*(h - 1)*(h + 2)**3/2
Let -2*v**5/3 - 10*v**4 - 136*v**3/3 - 32*v**2 + 192*v + 288 = 0. Calculate v.
-6, -3, -2, 2
Factor j**5/3 + 4*j**4 + 20*j**3/3 - 2*j**2/3 - 7*j - 10/3.
(j - 1)*(j + 1)**3*(j + 10)/3
What is o in 108*o**3 + 144*o**2 + 39*o + 3 = 0?
-1, -1/6
Factor -20*k**3 + 16*k**2 + 4*k.
-4*k*(k - 1)*(5*k + 1)
Solve -2*b**2/3 - 46*b/3 - 44/3 = 0.
-22, -1
Suppose -j**4/6 - 149*j**3/6 - 293*j**2/6 + 149*j/6 + 49 = 0. Calculate j.
-147, -2, -1, 1
Suppose o**4/4 + 5*o**3/4 = 0. What is o?
-5, 0
Factor 5*c**4 + 3*c**3 - 12*c**2 + 4*c.
c*(c - 1)*(c + 2)*(5*c - 2)
Determine s so that -s**4/2 - 12*s**3 - 44*s**2 + 336*s - 392 = 0.
-14, 2
Find k such that -k**2 - 69*k - 1178 = 0.
-38, -31
Solve r**5 + 599*r**4/2 + 2075*r**3/2 + 440*r**2 - 1186*r - 592 = 0.
-296, -2, -1/2, 1
Let 5*c**2 + 675*c - 1370 = 0. Calculate c.
-137, 2
Factor -a**3 - 28*a**2 - 119*a - 92.
-(a + 1)*(a + 4)*(a + 23)
Factor u**2 - 22*u.
u*(u - 22)
Find c, given that -2*c**3 - 518*c**2 - 516*c = 0.
-258, -1, 0
Determine c so that 2*c**4/11 + 104*c**3/11 + 1728*c**2/11 + 7776*c/11 - 23328/11 = 0.
-18, 2
Find s, given that -s**2/6 + 499*s/3 + 668 = 0.
-4, 1002
Factor 5*t**2 - 130*t - 1360.
5*(t - 34)*(t + 8)
Suppose 2*s**5/19 - 24*s**4/19 + 104*s**3/19 - 192*s**2/19 + 128*s/19 = 0. Calculate s.
0, 2, 4
Factor -2*q**3/19 + 876*q**2/19 - 127896*q/19 + 6224272/19.
-2*(q - 146)**3/19
Factor -m**4/5 - 3*m**3/5 + 9*m**2/5 - m.
-m*(m - 1)**2*(m + 5)/5
Factor 4*s**3 + 1631*s**2 - 408*s.
s*(s + 408)*(4*s - 1)
Factor 2*j**5/3 - 16*j**4/3 - 4*j**3 + 112*j**2/3 - 134*j/3 + 16.
2*(j - 8)*(j - 1)**3*(j + 3)/3
Factor 2*d**3 - 140*d**2 + 3234*d - 24696.
2*(d - 28)*(d - 21)**2
Let -16*r**3/5 - 244*r**2/5 - 284*r/5 - 56/5 = 0. Calculate r.
-14, -1, -1/4
Suppose 3*i**4/4 - 9*i**3/2 - 21*i**2/4 + 36*i - 27 = 0. What is i?
-3, 1, 2, 6
Let x**3 + 29*x**2 - x - 29 = 0. What is x?
-29, -1, 1
Factor -o**5/3 + 7*o**4/3 - 11*o**3/3 + 5*o**2/3.
-o**2*(o - 5)*(o - 1)**2/3
Determine i, given that -27*i**2 - 504*i - 2352 = 0.
-28/3
Factor 2*h**2/11 - 6*h/11 - 20/11.
2*(h - 5)*(h + 2)/11
Find t, given that -t**4/3 - 8*t**3/3 - 5*t**2 + 8*t/3 + 16/3 = 0.
-4, -1, 1
Factor -7*b**4/10 + 13*b**3/2 - 9*b**2/5.
-b**2*(b - 9)*(7*b - 2)/10
Determine r, given that 14*r**4/9 + 76*r**3/3 + 1240*r**2/9 + 784*r/3 + 64 = 0.
-6, -4, -2/7
Let 4*a**4 - 196*a**3 + 1068*a**2 - 1564*a + 688 = 0. Calculate a.
1, 4, 43
Factor -3*n**2/2 - 243*n/2 - 1155.
-3*(n + 11)*(n + 70)/2
Let 4*p**2 - 4*p = 0. Calculate p.
0, 1
Factor 5*v**2/4 + 485*v/2 + 47045/4.
5*(v + 97)**2/4
Find o, given that o**5/4 + 93*o**4/4 + 2115*o**3/4 - 2209*o**2/4 = 0.
-47, 0, 1
Suppose 4*v**5 - 16*v**4 - 12*v**3 + 40*v**2 + 32*v = 0. Calculate v.
-1, 0, 2, 4
What is i in -500*i**4 - 2900*i**3 - 6240*i**2 - 5888*i - 2048 = 0?
-8/5, -1
Suppose 3*m**4 - 237*m**3 - 738*m**2 - 12*m + 984 = 0. Calculate m.
-2, 1, 82
Factor -f**4 - 134*f**3 - 517*f**2 + 408*f + 2340.
-(f - 2)*(f + 3)**2*(f + 130)
Solve 3*q**2/2 - 111*q/2 - 57 = 0 for q.
-1, 38
Factor -2*y**2/3 + 228*y - 19494.
-2*(y - 171)**2/3
Find c such that -35*c**4 + 205*c**3 + 1745*c**2 + 2555*c + 330 = 0.
-3, -2, -1/7, 11
What is n in 12*n**4 + 729*n**3 + 1245*n**2 + 351*n - 177 = 0?
-59, -1, 1/4
Factor 4*h**3 + 228*h**2 + 864*h + 848.
4*(h + 2)**2*(h + 53)
Factor 3*b**4 - 9*b**3 - 3*b**2 + 9*b.
3*b*(b - 3)*(b - 1)*(b + 1)
Solve -605*o**4 - 6875*o**3 + 4820*o**2 + 2420*o + 240 = 0 for o.
-12, -2/11, 1
Factor -92*x**3 + 912*x**2 + 1092*x + 88.
-4*(x - 11)*(x + 1)*(23*x + 2)
Let -i**5/8 - i**4/4 + 25*i**3/8 + i**2/4 - 3*i = 0. What is i?
-6, -1, 0, 1, 4
Let f**2/5 - 9*f/5 - 2 = 0. What is f?
-1, 10
Factor 3*h**2/5 + 84*h/5.
3*h*(h + 28)/5
Let -57*t**5/4 - 291*t**4/4 - 93*t**3 - 9*t**2 = 0. What is t?
-3, -2, -2/19, 0
Find c such that -4*c**3 + 56*c**2 + 124*c + 64 = 0.
-1, 16
Factor 3*i**3 - 12*i**2 - 87*i - 72.
3*(i - 8)*(i + 1)*(i + 3)
Suppose -w**3/4 + 5*w**2/4 + 3*w/2 = 0. Calculate w.
-1, 0, 6
Factor -9*i**3 - 825*i**2 + 8288*i - 19796.
-(i + 101)*(3*i - 14)**2
Factor g**2/9 + 43*g/9 + 190/9.
(g + 5)*(g + 38)/9
Determine d, given that -d**3/2 - 25*d**2/2 - 119*d/2 - 95/2 = 0.
-19, -5, -1
Factor -k**3 - 11*k**2 - 39*k - 45.
-(k + 3)**2*(k + 5)
Suppose 3*r**3 + 8*r**2 + 7*r + 2 = 0. What is r?
-1, -2/3
Determine k, given that -3*k**2 - 228*k = 0.
-76, 0
Factor -n**4/3 - 44*n**3/3 - 55*n**2 - 202*n/3 - 80/3.
-(n + 1)**2*(n + 2)*(n + 40)/3
Factor -3*o**2 + 63*o.
-3*o*(o - 21)
Determine c, given that 2*c**4/13 - 384*c**3/13 + 380*c**2/13 + 384*c/13 - 382/13 = 0.
-1, 1, 191
Suppose -y**5/2 + 7*y**4 + 35*y**3 + 20*y**2 - 69*y/2 - 27 = 0. Calculate y.
-3, -1, 1, 18
Factor -2*c**2/17 - 86*c/17 - 780/17.
-2*(c + 13)*(c + 30)/17
Factor 2*l**4 - 8*l**3 - 30*l**2 + 36*l.
2*l*(l - 6)*(l - 1)*(l + 3)
What is d in -3*d**5 - 69*d**4 + 150*d**3 = 0?
-25, 0, 2
Factor -2*i**3 - 2*i**2 + 8*i + 8.
-2*(i - 2)*(i + 1)*(i + 2)
Let a**2/3 - 440*a/3 + 48400/3 = 0. What is a?
220
Suppose 5*b**3/2 - 20*b**2 + 40*b = 0. What is b?
0, 4
Let u**5/4 - 9*u**4/4 + 21*u**3/4 - 19*u**2/4 + 3*u/2 = 0. Calculate u.
0, 1, 6
What is a in -27*a**2/2 + 77*a/2 + 6 = 0?
-4/27, 3
Find x such that x**4/3 - x**3 - 2*x**2 + 28*x/3 - 8 = 0.
-3, 2
Solve 3*v**2/4 + 63*v/2 - 129/4 = 0 for v.
-43, 1
Factor -k**3/4 + 7*k/4 - 3/2.
-(k - 2)*(k - 1)*(k + 3)/4
Solve 5*x**4/6 - 43*x**3/6 + 89*x**2/6 - 23*x/2 + 3 = 0.
3/5, 1, 6
Factor -2*k**2 + 42*k + 92.
-2*(k - 23)*(k + 2)
Find y such that y**3/4 - 41*y**2/4 + 26*y + 1859 = 0.
-11, 26
Solve -c**3/3 - 10*c**2/3 + 23*c/3 - 4 = 0 for c.
-12, 1
Solve -8*y**4/11 - 58*y**3/11 + 210*y**2/11 - 104*y/11 - 40/11 = 0 for y.
-10, -1/4, 1, 2
Factor 4*v**2 - 328*v - 2492.
4*(v - 89)*(v + 7)
Suppose 2*a**2/7 - 10*a/7 - 12/7 = 0. What is a?
-1, 6
What is y in 2*y**5/7 - 78*y**4/7 + 598*y**3/7 - 522*y**2/7 = 0?
0, 1, 9, 29
Solve -5*s**3 + 695*s**2 - 2720*s + 2700 = 0.
2, 135
Factor 9*i**4/4 + 43*i**3/4 + 11*i**2 - 3*i.
i*(i + 2)*(i + 3)*(9*i - 2)/4
Factor -2*w**2 - 10*w + 352.
-2*(w - 11)*(w + 16)
Factor -2*d**2/11 - 182*d/11 - 696/11.
-2*(d + 4)*(d + 87)/11
Factor 2*q**2 + 262*q - 2820.
2*(q - 10)*(q + 141)
Factor -s**4 - 99*s**3 + 622*s**2 - 840*s.
-s*(s - 4)*(s - 2)*(s + 105)
Factor 2*w**2 - 74*w/3 - 80/3.
2*(w + 1)*(3*w - 40)/3
Find y, given that 3*y**5 - 24*y**4 + 51*y**3 - 30*y**2 = 0.
0, 1, 2, 5
Determine u so that -3*u**3 + 9*u**2 - 9*u + 3 = 0.
1
Factor 50*t**2/19 + 250*t/19 + 92/19.
2*(5*t + 2)*(5*t + 23)/19
Factor -2*w**3/9 - 22*w**2/9 - 70*w/9 - 50/9.
-2*(w + 1)*(w + 5)**2/9
What is v in 5*v**2 - 530*v - 6435 = 0?
-11, 117
Find g, given that -2*g**2 - 132*g - 130 = 0.
-65, -1
Factor -6*t**3 + 33*t**2 - 51*t + 18.
-3*(t - 3)*(t - 2)*(2*t - 1)
Factor -u**3 + 47*u**2 - 575*u + 529.
-(u - 23)**2*(u - 1)
Factor 2*t**3/5 - 32*t**2/15 + 34*t/15 - 8/15.
2*(t - 4)*(t - 1)*(3*t - 1)/15
Let -9*j**2 - 2*j = 0. Calculate j.
-2/9, 0
Factor -2*j**4/7 + 54*j**3/7 + 248*j**2/7.
-2*j**2*(j - 31)*(j + 4)/7
Suppose k**4/2 - 14*k**3 + 163*k**2/2 - 174*k + 126 = 0. Calculate k.
2, 3, 21
Find s, given that 4*s**5 + 52*s**4 - 132*s**3 - 180*s**2 = 0.
-15, -1, 0, 3
Factor 4*j**4/5 - 12*j**3/5 - 4*j**2/5 + 12*j/5.
4*j*(j - 3)*(j - 1)*(j + 1)/5
Find j, given that 3*j**4/7 - 291*j**3/7 - 927*j**2/7 + 2715*j/7 - 1500/7 = 0.
-5, 1, 100
Solve 21*r**5 - 1266*r**4 - 2223*r**3 - 564*r**2 + 372*r = 0 for r.
-1, 0, 2/7, 62
Determine s so that s**5/4 + 3*s**4/2 + 2*s**3 - 3*s**2/2 - 9*s/4 = 0.
-3, -1, 0, 1
Factor 27*n**3 - 177*n**2 + 318*n - 168.
3*(n - 4)*(n - 1)*(9*n - 14)
Suppose -4*u**4 + 31*u**3 - 53*u**2 - 40*u + 48 = 0. Calculate u.
-1, 3/4, 4
What is h in 3*h**2/2 + 63*h/2 = 0?
-21, 0
Factor 7*d**3 - 15*d**2 - 19*d + 3.
(d - 3)*(d + 1)*(7*d - 1)
Solve -765625*k**3 + 26250*k**2 - 300*k + 8/7 = 0.
2/175
Let -81*w**4/4 + 1371*w**3/4 + 51*w**2/2 = 0. What is w?
-2/27, 0, 17
Determine i so that -i**3/6 + i**2 + 5*i/2 + 4/3 = 0.
-1, 8
Factor i**2 - 150*i + 5625.
(i - 75)**2
Factor -4*b**2 - 48*b.
-4*b*(b + 12)
Determine s so that 4*s**3/3 - 188*s**2/3 + 176*s/3 + 368/3 = 0.
-1, 2, 46