 7, 8
Solve -2*v**5 - 448*v**4 + 452*v**3 + 448*v**2 - 450*v = 0 for v.
-225, -1, 0, 1
Let -3*r**3 + 9*r**2 + 3*r - 9 = 0. Calculate r.
-1, 1, 3
Factor -5*f**3 - 200*f**2 + 860*f - 880.
-5*(f - 2)**2*(f + 44)
Factor -10*z**2/7 - 124*z/7 - 48/7.
-2*(z + 12)*(5*z + 2)/7
Suppose -z**4/7 + 52*z**3/7 - 1014*z**2/7 + 8788*z/7 - 28561/7 = 0. Calculate z.
13
Find h such that 2*h**3 - 32*h**2 - 2*h + 32 = 0.
-1, 1, 16
Let -d**2/7 - 208*d/7 - 207/7 = 0. Calculate d.
-207, -1
Factor -2*l**3 - 56*l**2 - 406*l - 352.
-2*(l + 1)*(l + 11)*(l + 16)
What is f in -2*f**3/5 + 224*f**2/5 + 3968*f/5 + 16384/5 = 0?
-8, 128
Suppose -5*v**5 - 196*v**4 - 759*v**3 - 844*v**2 - 140*v = 0. What is v?
-35, -2, -1/5, 0
Determine f so that -6*f**2/19 - 200*f/19 - 66/19 = 0.
-33, -1/3
Suppose -2*n**4 - 54*n**3 + 468*n**2 - 296*n - 816 = 0. Calculate n.
-34, -1, 2, 6
Solve 2*t**5/9 - 40*t**4/9 + 32*t**3 - 96*t**2 + 96*t = 0.
0, 2, 6
What is s in -5*s**2 - 16670*s - 13894445 = 0?
-1667
Solve 2*f**3/11 + 1942*f**2/11 + 42768*f - 472392/11 = 0.
-486, 1
Factor k**5/4 + k**4 - 3*k**3.
k**3*(k - 2)*(k + 6)/4
What is d in -4*d**2/7 + 2644*d/7 - 2640/7 = 0?
1, 660
Find i such that -2*i**3 + 16266*i**2 - 33080976*i + 33064712 = 0.
1, 4066
Factor 4*t**5 + 28*t**4 + 76*t**3 + 100*t**2 + 64*t + 16.
4*(t + 1)**3*(t + 2)**2
Let r**3/3 - 233*r**2/3 + 4485*r + 4563 = 0. What is r?
-1, 117
Suppose -5*y**5 + 153*y**4 - 85*y**3 - 153*y**2 + 90*y = 0. Calculate y.
-1, 0, 3/5, 1, 30
Find v, given that 2*v**2/7 + 4496*v/7 + 2526752/7 = 0.
-1124
Determine h so that -h**5/2 + h**4/2 + 5*h**3 + 4*h**2 = 0.
-2, -1, 0, 4
Factor -2*m**2/7 + 6*m/7 + 20/7.
-2*(m - 5)*(m + 2)/7
Factor -3*w**2/2 + 6*w + 48.
-3*(w - 8)*(w + 4)/2
Factor -o**2 + 693*o.
-o*(o - 693)
Factor 3*m**3 - 1044*m**2 + 121104*m - 4682688.
3*(m - 116)**3
Find a, given that -5*a**3 + 2230*a**2 + 2235*a = 0.
-1, 0, 447
Factor 62*m**3 + 1420*m**2 + 1226*m - 132.
2*(m + 1)*(m + 22)*(31*m - 3)
Let 2*l**2/3 - 12*l - 38/3 = 0. What is l?
-1, 19
Find a, given that -4*a**5/7 + 136*a**3/7 + 384*a**2/7 + 36*a = 0.
-3, -1, 0, 7
Determine m so that -3*m**3 - 207*m**2 - 3672*m - 3468 = 0.
-34, -1
Factor -5*a**2 + 70*a.
-5*a*(a - 14)
Find j, given that 2*j**5/5 - 8*j**4/5 - 8*j**3 - 4*j**2 + 38*j/5 + 28/5 = 0.
-2, -1, 1, 7
Factor f**2/4 - 333*f/2 - 667/4.
(f - 667)*(f + 1)/4
Factor -2*g**2/5 - 22*g - 108/5.
-2*(g + 1)*(g + 54)/5
Find c, given that -4*c**4 - 616*c**3 - 13680*c**2 + 842400*c = 0.
-90, 0, 26
Solve 4*x**4 - 360*x**3 - 1872*x**2 - 2648*x - 1140 = 0.
-3, -1, 95
Determine h, given that 245*h**5 - 2380*h**4 + 3225*h**3 + 1070*h**2 + 80*h = 0.
-1/7, 0, 2, 8
Solve -4*z**2/9 - 28*z/9 - 40/9 = 0.
-5, -2
Find t, given that -4*t**3 + 388*t**2 - 11644*t + 100860 = 0.
15, 41
Factor -4*z**4 - 624*z**3 + 6604*z**2 - 5976*z.
-4*z*(z - 9)*(z - 1)*(z + 166)
Factor o**3 + 37*o**2 + 104*o + 68.
(o + 1)*(o + 2)*(o + 34)
Determine w, given that 48*w**4/7 + 284*w**3/7 + 408*w**2/7 + 156*w/7 - 16/7 = 0.
-4, -1, 1/12
Solve g**5/4 + 11*g**4 - 3*g**3/4 - 65*g**2/2 + 22*g = 0.
-44, -2, 0, 1
Factor 5*i**3 + 310*i**2 - 5*i - 310.
5*(i - 1)*(i + 1)*(i + 62)
Factor a**3 + 68*a**2 + 427*a.
a*(a + 7)*(a + 61)
Let f**5/8 + f**4/8 - f**3/2 - f**2/2 = 0. Calculate f.
-2, -1, 0, 2
Find c, given that 3*c**3/5 + 4*c**2 - 9*c/5 - 14/5 = 0.
-7, -2/3, 1
Suppose -18*c**5/13 - 148*c**4/13 + 22*c**3/13 + 480*c**2/13 + 392*c/13 + 64/13 = 0. What is c?
-8, -1, -2/9, 2
Factor 2*d**2/3 + 1132*d/3 + 752.
2*(d + 2)*(d + 564)/3
Factor 5*i**2/4 - 335*i/2 + 330.
5*(i - 132)*(i - 2)/4
Suppose 2*i**2/9 + 8*i + 72 = 0. What is i?
-18
Factor -2*x**2/11 - 684*x/11 - 2704/11.
-2*(x + 4)*(x + 338)/11
Factor z**5/4 - z**4 + 5*z**3/4 - z**2/2.
z**2*(z - 2)*(z - 1)**2/4
Factor 132*q**3 + 8*q**2 - 528*q - 32.
4*(q - 2)*(q + 2)*(33*q + 2)
Let -3*x**2/7 + 234*x/7 - 645 = 0. Calculate x.
35, 43
Find t, given that 2*t**5/11 + 12*t**4/11 + 24*t**3/11 + 16*t**2/11 = 0.
-2, 0
Suppose 3*n**4/7 - 177*n**3/7 - 180*n**2/7 = 0. Calculate n.
-1, 0, 60
Find n, given that 2*n**3 - 13*n**2/3 - 14*n/3 - 1 = 0.
-1/2, -1/3, 3
Let 4*d**4 + 28*d**3 + 48*d**2 - 16*d - 64 = 0. Calculate d.
-4, -2, 1
Factor -c**5/2 + 23*c**4/2.
-c**4*(c - 23)/2
Determine j so that 9*j**5/8 + 6*j**4 - 3*j**3/8 - 111*j**2/4 - 9*j = 0.
-4, -3, -1/3, 0, 2
Suppose 6*v**2/5 - 102*v/5 + 84 = 0. What is v?
7, 10
Suppose 11*x**2 - 42*x - 8 = 0. Calculate x.
-2/11, 4
Let -3*o**2/4 - 9*o/4 + 30 = 0. Calculate o.
-8, 5
Factor w**2 - 1218*w + 370881.
(w - 609)**2
Let -5*o**2 + 100*o - 500 = 0. What is o?
10
Factor -b**4/4 - 37*b**3/2 - 360*b**2 - 648*b.
-b*(b + 2)*(b + 36)**2/4
What is f in -2*f**4/3 - 4*f**3 + 14*f**2/3 = 0?
-7, 0, 1
Factor -2*o**2/15 - 316*o/5 + 190/3.
-2*(o - 1)*(o + 475)/15
Determine r, given that -2*r**2 - 2246*r - 4484 = 0.
-1121, -2
Find r, given that 15*r**4 + 159*r**3 + 444*r**2 + 156*r - 144 = 0.
-6, -4, -1, 2/5
Find j such that -j**5/7 + 8*j**4/7 + 3*j**3/7 - 62*j**2/7 - 8*j = 0.
-2, -1, 0, 4, 7
Determine a, given that -3*a**3/8 + 15*a**2/4 - 27*a/8 = 0.
0, 1, 9
Find s such that -7*s**4/3 + 40*s**3/3 - 65*s**2/3 + 20*s/3 + 4 = 0.
-2/7, 1, 2, 3
Determine l, given that -2*l**3/19 + 2644*l**2/19 - 871192*l/19 - 1752976/19 = 0.
-2, 662
Find k such that -24*k**2 + 28*k + 460 = 0.
-23/6, 5
Factor -j**4 + 11*j**3 + 14*j**2 - 24*j.
-j*(j - 12)*(j - 1)*(j + 2)
Solve -5*v**4 - 50*v**3 + 275*v**2 + 2000*v + 1680 = 0 for v.
-12, -4, -1, 7
Solve -5*m**5 - 40*m**4 - 25*m**3 + 70*m**2 = 0.
-7, -2, 0, 1
Factor 2*x**3/13 - 560*x**2/13 + 12576*x/13 - 73728/13.
2*(x - 256)*(x - 12)**2/13
Factor z**2 - 2*z - 3.
(z - 3)*(z + 1)
Factor 2*l**4/5 - 2*l**3/5 - 72*l**2/5 + 72*l/5.
2*l*(l - 6)*(l - 1)*(l + 6)/5
Solve -22*u**4 + 224*u**3 - 392*u**2 + 64*u = 0 for u.
0, 2/11, 2, 8
Factor -i**2/6 + 11*i.
-i*(i - 66)/6
Suppose -x**2/3 + 7*x/3 - 2 = 0. Calculate x.
1, 6
Find r, given that -r**3 + 187*r**2 - 8835*r + 8649 = 0.
1, 93
Suppose f**4/4 + 103*f**3/4 - 315*f**2/4 + 317*f/4 - 53/2 = 0. What is f?
-106, 1
Solve 36*o**4/5 + 2112*o**3/5 + 1396*o**2/5 + 232*o/5 = 0 for o.
-58, -1/3, 0
Factor -z**4 + 14*z**3 - 40*z**2.
-z**2*(z - 10)*(z - 4)
Determine u, given that 4*u**2 + 60*u = 0.
-15, 0
Factor 2*w**4 + 55*w**3 + 552*w**2 + 2368*w + 3584.
(w + 8)**3*(2*w + 7)
Factor 2*k**3/15 + 2*k**2/15.
2*k**2*(k + 1)/15
Factor -4*m**3 + 48*m**2 - 80*m.
-4*m*(m - 10)*(m - 2)
Let d**4 - 3*d**3 - 4*d**2 + 12*d = 0. Calculate d.
-2, 0, 2, 3
Find u, given that -3*u**2/2 - 15*u/2 - 6 = 0.
-4, -1
Find a, given that -4*a**3 + 347*a**2/2 - 646*a + 630 = 0.
2, 315/8
Factor 3*c**4 + 18*c**3 - 48*c**2.
3*c**2*(c - 2)*(c + 8)
What is o in 3*o**5/5 + 46*o**4/5 + 201*o**3/5 + 278*o**2/5 + 72*o/5 = 0?
-9, -4, -2, -1/3, 0
Factor 3*u**2/5 - 18*u/5 + 3.
3*(u - 5)*(u - 1)/5
Suppose -6*s**5/7 - 9*s**4/7 + 129*s**3/7 + 306*s**2/7 + 120*s/7 = 0. Calculate s.
-4, -2, -1/2, 0, 5
Find i such that -5*i**3 + 90*i**2 - 385*i + 300 = 0.
1, 5, 12
Factor -x**3 + 163*x**2 - 7696*x + 82140.
-(x - 74)**2*(x - 15)
Factor -5*u**4/3 - 185*u**3/3 - 60*u**2.
-5*u**2*(u + 1)*(u + 36)/3
Factor 4*g**2 - 1616*g + 163216.
4*(g - 202)**2
Solve 2*r**3 + 38*r**2 + 224*r + 384 = 0.
-8, -3
Factor -3*u**4 - 5*u**3 + 16*u**2 + 12*u.
-u*(u - 2)*(u + 3)*(3*u + 2)
Find h such that -4*h**4 + 260*h**3 - 4092*h**2 - 4356*h = 0.
-1, 0, 33
Solve -u**3/2 + 4*u**2 - 15*u/2 = 0 for u.
0, 3, 5
Determine d so that -d**3/6 - 11*d**2/6 - 5*d = 0.
-6, -5, 0
Find n such that 2*n**2 - 24176*n + 73059872 = 0.
6044
Factor b**4/5 - 2*b**3 - 3*b**2/5 + 32*b/5 - 4.
(b - 10)*(b - 1)**2*(b + 2)/5
Determine q, given that -3*q**3 + 57*q**2 - 102*q = 0.
0, 2, 17
Let -16*p**5 + 380*p**4 - 3865*p**3/4 + 3615*p**2/4 - 1395*p/4 + 189/4 = 0. Calculate p.
3/8, 1, 21
Let -r**2/3 - r/3 + 2 = 0. Calculate r.
-3, 2
Let -3*p**2/8 - 63*p/4 + 129/8 = 0. What is p?
-43, 1
Determine p so that -p**2/4 + 41*p/4 = 0.
0, 41
Factor 3*g**4/2 - 8*g**3 - 33*g**2/2 - 7*g.
g*(g - 7)*(g + 1)*(3*g + 2)/2
Determine d, given that -3*d**2/2 - 423*d/2 - 210 = 0.
-140, -1
Find b such that -7*b**5 - 5*b**4 + 2*b**3 = 0.
-1, 0, 2/7
Let -2*q**4/7 - 972*q**3/7 - 119066*q**2/7 - 235224*q/7 - 117128/7 = 0. Calculate q.
-242, -1
Find v such that -3*v**5 - 30*v**4 + 36*v**3 + 30*v**2 - 33*v = 0.
-11, -1, 0, 1
Find k such that -4*k**2 + 28*k - 24 = 0.
1, 6
What is d in 6*d**2 + 224