050*h + 1560 = 0.
-4, -1, 78
Factor 3*v**4 + 54*v**3 + 279*v**2 + 84*v - 1764.
3*(v - 2)*(v + 6)*(v + 7)**2
Solve -3*h**5/5 - 12*h**4/5 - 6*h**3/5 + 12*h**2/5 + 9*h/5 = 0 for h.
-3, -1, 0, 1
Let j**2/6 + 55*j/6 + 69 = 0. What is j?
-46, -9
Suppose 28*j**3/5 - 36*j**2/5 - 48*j/5 + 16/5 = 0. Calculate j.
-1, 2/7, 2
Find p, given that -2*p**2 + 8*p - 6 = 0.
1, 3
Suppose 25*h**5/2 - 95*h**4 - 379*h**3/2 + 1736*h**2 + 714*h + 72 = 0. Calculate h.
-4, -1/5, 6
Let p**3/3 - 2*p**2 + 3*p - 4/3 = 0. What is p?
1, 4
Find c such that 3*c**5/2 + 30*c**4 - 138*c**3 + 144*c**2 = 0.
-24, 0, 2
Solve -t**4/5 + 4*t**3/5 + 4*t**2/5 - 16*t/5 = 0 for t.
-2, 0, 2, 4
Factor 4*t**2 + 3376*t - 3380.
4*(t - 1)*(t + 845)
Let 2*g**5/23 + 14*g**4/23 + 24*g**3/23 - 8*g**2/23 - 32*g/23 = 0. Calculate g.
-4, -2, 0, 1
Factor -3*j**3/8 + 15*j**2/4 + 39*j/2 + 21.
-3*(j - 14)*(j + 2)**2/8
Factor -n**4/5 - 12*n**3/5 + 17*n**2.
-n**2*(n - 5)*(n + 17)/5
Solve -u**4/7 + 2*u**3/7 + 13*u**2/7 + 10*u/7 = 0 for u.
-2, -1, 0, 5
Suppose 5*p**4 + 105*p**3 - 230*p**2 = 0. What is p?
-23, 0, 2
Factor -2*g**2/3 - 68*g/3 - 182.
-2*(g + 13)*(g + 21)/3
Find y such that 2*y**2/15 - 16*y/3 = 0.
0, 40
Factor -v**3 - 76*v**2 - 1924*v - 16224.
-(v + 24)*(v + 26)**2
Factor -k**2 + 170*k - 169.
-(k - 169)*(k - 1)
Factor -4*j**2/5 - 101*j/5 - 5.
-(j + 25)*(4*j + 1)/5
Suppose -12*h**5 - 356*h**4 - 196*h**3 + 1092*h**2 + 1408*h + 464 = 0. What is h?
-29, -1, -2/3, 2
Factor 4*z**5 + 23*z**4 + 31*z**3 + 12*z**2.
z**2*(z + 1)*(z + 4)*(4*z + 3)
Solve q**2/7 + 11*q/7 - 26/7 = 0.
-13, 2
Suppose -2*c**5/3 + 34*c**4/3 - 70*c**3 + 550*c**2/3 - 500*c/3 = 0. Calculate c.
0, 2, 5
Suppose -3*x**3/4 + 1113*x**2/4 + 1122*x + 1125 = 0. Calculate x.
-2, 375
Determine g, given that 74*g**4 + 1780*g**3 + 3633*g**2/2 + 1037*g/2 + 23 = 0.
-23, -1/2, -2/37
Factor f**2/4 - 17*f/4 - 21.
(f - 21)*(f + 4)/4
Let -2*v**2 - 142*v + 144 = 0. Calculate v.
-72, 1
Solve -v**3 - 93*v**2 - 2883*v - 29791 = 0 for v.
-31
Factor -3*s**2/4 + 255*s/2 + 513/4.
-3*(s - 171)*(s + 1)/4
Suppose -2*u**4/3 + 26*u**3 + 220*u**2 - 736*u/3 = 0. What is u?
-8, 0, 1, 46
Determine b so that 2*b**3/3 - 58*b**2 - 1748*b/3 + 640 = 0.
-10, 1, 96
Factor -a**2/3 - 302*a/3 + 101.
-(a - 1)*(a + 303)/3
What is g in 14*g**3/13 + 2020*g**2/13 + 2578*g/13 + 44 = 0?
-143, -1, -2/7
Factor -2*l**2 - 56*l - 54.
-2*(l + 1)*(l + 27)
Factor 3*y**3 + 99*y**2 + 636*y + 900.
3*(y + 2)*(y + 6)*(y + 25)
Factor -4*v**2 - 152*v + 156.
-4*(v - 1)*(v + 39)
Factor -u**4/2 + 41*u**3/2 + 113*u**2 + 92*u.
-u*(u - 46)*(u + 1)*(u + 4)/2
Factor 28*n**3 + 256*n**2 + 208*n - 384.
4*(n + 2)*(n + 8)*(7*n - 6)
Factor 4*x**4 - 60*x**3 + 84*x**2 + 2156*x - 8232.
4*(x - 7)**3*(x + 6)
Factor -y**4/4 - 3*y**3/4 + 17*y**2/2 - 12*y.
-y*(y - 3)*(y - 2)*(y + 8)/4
Factor -r**5 - 3*r**4.
-r**4*(r + 3)
Factor -2*z**4/11 + 252*z**3/11 - 7680*z**2/11 - 16384*z/11.
-2*z*(z - 64)**2*(z + 2)/11
Suppose -q**5 + 508*q**4 + 2*q**3 - 1016*q**2 - q + 508 = 0. Calculate q.
-1, 1, 508
Factor -a**3/10 + 3174*a**2/5 - 6716184*a/5 + 4737148448/5.
-(a - 2116)**3/10
Let -5*m**3 + 15*m**2 + 30*m - 40 = 0. Calculate m.
-2, 1, 4
Solve 2*n**2/5 + 162*n/5 + 284 = 0.
-71, -10
Find f such that f**2/6 + 15*f + 675/2 = 0.
-45
Factor 7*u**4/6 + 5*u**3/6 - u**2/3.
u**2*(u + 1)*(7*u - 2)/6
What is t in 2*t**5 + 62*t**4 + 440*t**3 + 968*t**2 - 64*t - 1408 = 0?
-22, -4, -2, 1
Suppose 2*g**3/17 - 8*g**2/17 + 8*g/17 = 0. Calculate g.
0, 2
Factor -38*l**4/7 - 164*l**3/7 - 48*l**2/7.
-2*l**2*(l + 4)*(19*l + 6)/7
Factor 2*k**3/3 - 436*k**2/3 + 23320*k/3 + 48400/3.
2*(k - 110)**2*(k + 2)/3
Find s such that 5*s**3 - 235*s**2 + 1400*s = 0.
0, 7, 40
Let -p**3/5 - 307*p**2/5 + 1556*p/5 - 1248/5 = 0. Calculate p.
-312, 1, 4
Find u such that -2*u**2 - 442*u = 0.
-221, 0
Factor -165*k**2 - 485*k + 30.
-5*(k + 3)*(33*k - 2)
Determine q so that q**2 - 10*q = 0.
0, 10
Factor 32*h**2 - 44*h + 12.
4*(h - 1)*(8*h - 3)
Solve 20*p**5 - 11160*p**4 + 1556805*p**3 + 8375*p**2 - 1170405*p + 389205 = 0 for p.
-1, 1/2, 279
Let 2*l**2/5 - 6252*l/5 + 4885938/5 = 0. What is l?
1563
Let -2*r**4/19 + 18*r**3/19 + 1958*r**2/19 - 31962*r/19 + 29988/19 = 0. What is r?
-34, 1, 21
Factor g**2/3 + 554*g + 230187.
(g + 831)**2/3
Solve -o**5 + 4*o**4 + o**3 - 4*o**2 = 0.
-1, 0, 1, 4
Find m such that -m**2/5 + 18*m/5 - 17/5 = 0.
1, 17
Factor 3*i**2 - 33*i - 36.
3*(i - 12)*(i + 1)
Suppose m**4 - 3*m**3 + 2*m**2 = 0. What is m?
0, 1, 2
Factor 15*x**2 - 10*x - 105.
5*(x - 3)*(3*x + 7)
Factor -2*q**3/17 - 48*q**2/17 + 290*q/17.
-2*q*(q - 5)*(q + 29)/17
Find o, given that o**3/2 - o**2/4 - 67*o/4 + 33/2 = 0.
-6, 1, 11/2
Determine z, given that -2*z**2/13 + 22*z/13 + 160/13 = 0.
-5, 16
Factor d**3/4 + 15*d**2/4 + 14*d.
d*(d + 7)*(d + 8)/4
Suppose -2*r**4 + 152*r**3 - 3300*r**2 + 15400*r - 12250 = 0. What is r?
1, 5, 35
Factor -i**2/5 + i/5.
-i*(i - 1)/5
Find s such that 2*s**3/3 + 808*s**2 + 326432*s + 131878528/3 = 0.
-404
Solve q**2 + 144*q + 143 = 0.
-143, -1
Determine l so that 10*l**4/17 - 134*l**3/17 - 38*l**2/17 + 4086*l/17 - 1620/17 = 0.
-5, 2/5, 9
Factor -3*d**4/4 + 93*d**2/4 + 45*d/2.
-3*d*(d - 6)*(d + 1)*(d + 5)/4
What is u in -4*u**5 - 272*u**4 - 1296*u**3 - 2296*u**2 - 1772*u - 504 = 0?
-63, -2, -1
Let -2*h**5 - 4*h**4 + 26*h**3 + 76*h**2 + 48*h = 0. Calculate h.
-3, -2, -1, 0, 4
Let -4*u**4 + 2724*u**3 - 8148*u**2 + 8140*u - 2712 = 0. Calculate u.
1, 678
Suppose -6*k**4/7 + 212*k**3/7 - 400*k**2/7 = 0. Calculate k.
0, 2, 100/3
Determine n, given that -1682*n**4 + 232*n**3 - 8*n**2 = 0.
0, 2/29
Find s, given that -2*s**5 - 44*s**4 - 236*s**3 + 128*s**2 + 638*s - 484 = 0.
-11, -2, 1
Factor l**2/3 - 4*l/3 - 5/3.
(l - 5)*(l + 1)/3
Factor 4*c**3/5 - 2276*c**2/5 + 324896*c/5 - 322624/5.
4*(c - 284)**2*(c - 1)/5
Factor m**3/2 + 20*m**2 + 200*m.
m*(m + 20)**2/2
Determine c so that c**5/3 - 4*c**4 + 11*c**3/3 = 0.
0, 1, 11
Suppose -4*r**3 + 200*r**2 - 3172*r + 16224 = 0. What is r?
13, 24
Let 2*b**5 - 22*b**4 + 46*b**3 + 22*b**2 - 48*b = 0. What is b?
-1, 0, 1, 3, 8
Solve -4*x**2/7 - 4*x + 72/7 = 0 for x.
-9, 2
Suppose -2*v**5 + 82*v**4 - 230*v**3 + 70*v**2 + 232*v - 152 = 0. Calculate v.
-1, 1, 2, 38
Let 4*w**3/7 - 4400*w**2/7 + 1218752*w/7 - 4804864/7 = 0. Calculate w.
4, 548
Factor -q**5 + 6*q**4 - 9*q**3 + 4*q**2.
-q**2*(q - 4)*(q - 1)**2
Solve -4*y**2 - 40*y + 96 = 0 for y.
-12, 2
Factor 2*r**2/5 - 4*r.
2*r*(r - 10)/5
Find u such that u**3/2 + 137*u**2 + 267*u/2 - 819 = 0.
-273, -3, 2
Find f such that 3*f**3 + 234*f**2 + 6084*f + 52728 = 0.
-26
Solve -2*s**3/3 + 14*s**2 + 98*s/3 - 46 = 0 for s.
-3, 1, 23
Factor -2*p**2/19 - 6000*p/19 - 4500000/19.
-2*(p + 1500)**2/19
Factor r**3/2 - 2153*r**2/2 - 1077*r.
r*(r - 2154)*(r + 1)/2
Factor -g**4/5 + 3*g**3/5 + 17*g**2/5 - 39*g/5 + 4.
-(g - 5)*(g - 1)**2*(g + 4)/5
Factor 2*t**5/17 - 44*t**4/17 + 156*t**3/17 - 224*t**2/17 + 146*t/17 - 36/17.
2*(t - 18)*(t - 1)**4/17
Factor -12*n**4 + 1023*n**3 - 255*n**2.
-3*n**2*(n - 85)*(4*n - 1)
Factor -4*s**2/5 + 432*s.
-4*s*(s - 540)/5
Solve 5*q**2 + 150*q - 2795 = 0.
-43, 13
Suppose -2*h**3/11 + 698*h**2/11 = 0. What is h?
0, 349
Let 3*u**4/8 + 33*u**3/8 - 9*u**2/2 = 0. Calculate u.
-12, 0, 1
Factor 45*f**2 + 140*f - 160.
5*(f + 4)*(9*f - 8)
Let -3*o**4/4 + o**3/2 + o**2/4 = 0. Calculate o.
-1/3, 0, 1
Factor 2*g**4/7 - 276*g**3/7 + 5634*g**2/7 + 268272*g/7 + 1889568/7.
2*(g - 81)**2*(g + 12)**2/7
Let 2*t**2/7 + 8*t = 0. What is t?
-28, 0
Factor 4*q**2/7 - 32*q/7 + 4.
4*(q - 7)*(q - 1)/7
Factor 2*i**3 + 60*i**2 - 194*i + 132.
2*(i - 2)*(i - 1)*(i + 33)
Factor n**3 - 571*n**2 + 1139*n - 569.
(n - 569)*(n - 1)**2
Factor 2*h**2/11 + 2*h - 204/11.
2*(h - 6)*(h + 17)/11
Find y such that y**2 + 2930*y - 2931 = 0.
-2931, 1
Solve -g**3/4 - 9*g**2/2 - 17*g/4 = 0 for g.
-17, -1, 0
Determine l, given that -2*l**2/15 - 1692*l/5 - 1073574/5 = 0.
-1269
Solve u**2/6 + 5*u/6 + 2/3 = 0 for u.
-4, -1
Factor -o**2 - 468*o - 467.
-(o + 1)*(o + 467)
Factor g**5 + 41*g**4 + 186*g**3 + 212*g**2 - 152*g - 288.
(g - 1)*(g + 2)**3*(g + 36)
Solve 3*d**2/5 - 156*d + 10140 = 0 for d.
130
Factor -q**4/4 + q**3/4 + 10*q**2 + 29*q + 24.
-(q - 8)*(q + 2)**2*(q + 3)/4
Let -3*k**5 + 132*k**4/7 - 141*k**3/7 + 30*k**2/7 = 0. What is k?
0, 2/7, 1, 5
Determine l so that l**2/6 - 2/3 = 0.
-2, 2
Find v, given that -v**2/7 - 392*v 