pose 3*w**4 - 36*w**3 + 123*w**2 - 90*w = 0. Calculate w.
0, 1, 5, 6
What is s in 2*s**2/7 + 44*s/7 + 242/7 = 0?
-11
Factor -2*b**5 - 274*b**4 - 12692*b**3 - 206820*b**2 - 376650*b - 182250.
-2*(b + 1)**2*(b + 45)**3
Factor 4*n**2 + 116*n - 120.
4*(n - 1)*(n + 30)
Solve 225*v**4 + 4530*v**3 + 23101*v**2 + 3020*v + 100 = 0.
-10, -1/15
Factor g**4 - 2023*g**3/2 - 506*g**2.
g**2*(g - 1012)*(2*g + 1)/2
Factor 2*k**4 - 22*k**3 - 78*k**2 - 82*k - 28.
2*(k - 14)*(k + 1)**3
Solve -k**4 - 2*k**3 + 3*k**2 = 0 for k.
-3, 0, 1
Factor -2*s**2 + 74*s + 240.
-2*(s - 40)*(s + 3)
Factor 2*q**5 + 48*q**4 + 402*q**3 + 1420*q**2 + 2232*q + 1296.
2*(q + 2)**3*(q + 9)**2
Factor -3*j**2 - 8712*j - 6324912.
-3*(j + 1452)**2
Suppose -27*r**5/7 + 45*r**4/7 + 33*r**3/7 - 33*r**2/7 + 6*r/7 = 0. Calculate r.
-1, 0, 1/3, 2
Factor v**3 + 20*v**2 + 64*v.
v*(v + 4)*(v + 16)
Let 4*r**3 - 48*r**2 + 140*r = 0. Calculate r.
0, 5, 7
Let 2*p**4 - 102*p**3 + 448*p**2 + 552*p = 0. What is p?
-1, 0, 6, 46
Factor -2*x**2/5 + 14*x - 588/5.
-2*(x - 21)*(x - 14)/5
Factor -3*t**2/4 - 4173*t - 5804643.
-3*(t + 2782)**2/4
What is y in 250*y**3/3 + 200*y**2 + 160*y + 128/3 = 0?
-4/5
Factor -8*v**3/13 - 152*v**2/13 - 930*v/13 - 1800/13.
-2*(v + 4)*(2*v + 15)**2/13
Suppose -20*s**5 + 5*s**4 + 60*s**3 - 55*s**2 + 10*s = 0. What is s?
-2, 0, 1/4, 1
What is g in 3*g**3/2 - 63*g/2 - 30 = 0?
-4, -1, 5
Factor 12*v**3/5 - 136*v**2/5 + 36*v/5 + 88/5.
4*(v - 11)*(v - 1)*(3*v + 2)/5
Factor 2*n**4 + 164*n**3 - 1234*n**2 + 1068*n.
2*n*(n - 6)*(n - 1)*(n + 89)
Let -4*m**4 - 156*m**3 - 1268*m**2 + 4956*m - 3528 = 0. Calculate m.
-21, 1, 2
Let -4*g**5 - 9*g**4 + 2*g**3 + 9*g**2 + 2*g = 0. What is g?
-2, -1, -1/4, 0, 1
Factor -5*r**4 - 23*r**3 + 43*r**2 + 3*r - 18.
-(r - 1)**2*(r + 6)*(5*r + 3)
Solve -3*g**3 - 180*g**2 - 171*g + 354 = 0.
-59, -2, 1
Factor -3*w**3 + 15*w**2 - 21*w + 9.
-3*(w - 3)*(w - 1)**2
Factor 7*h**2/2 - 92*h + 26.
(h - 26)*(7*h - 2)/2
Let -c**5 + 1034*c**4/5 + 3342*c**3/5 + 3772*c**2/5 + 1679*c/5 + 42 = 0. What is c?
-1, -1/5, 210
Factor a**4/6 + 5*a**3/2 - a**2/2 - 43*a/6 + 5.
(a - 1)**2*(a + 2)*(a + 15)/6
Factor -125*k**3/4 + 675*k**2/4 - 1215*k/4 + 729/4.
-(5*k - 9)**3/4
Solve -2*b**2 - 103*b - 51 = 0 for b.
-51, -1/2
Determine d, given that -d**5 + 107*d**4 - 103*d**3 - 323*d**2 + 532*d - 212 = 0.
-2, 1, 106
Let -3*n**2 - 1665*n - 1662 = 0. What is n?
-554, -1
Suppose 27*w**5/4 - 627*w**4/4 - 492*w**3 + 117*w**2 = 0. What is w?
-3, 0, 2/9, 26
What is z in z**2/2 + 23*z/2 - 12 = 0?
-24, 1
Factor v**2/5 - 6372*v/5 + 10150596/5.
(v - 3186)**2/5
Factor 5*y**3 - 155*y**2 - 560*y + 1700.
5*(y - 34)*(y - 2)*(y + 5)
Factor -i**4/8 + 25*i**3/8.
-i**3*(i - 25)/8
Let 9*o**3 - 69*o**2/7 - 120*o/7 + 12/7 = 0. Calculate o.
-1, 2/21, 2
Solve 2*a**3 - 44*a**2 + 106*a + 152 = 0 for a.
-1, 4, 19
Let 4*q**5/19 - 378*q**4/19 + 434*q**3 + 32246*q**2/19 + 33222*q/19 + 9604/19 = 0. What is q?
-2, -1, -1/2, 49
Suppose 2*o**5/3 + 22*o**4/3 + 44*o**3/3 - 92*o**2/3 - 46*o/3 + 70/3 = 0. What is o?
-7, -5, -1, 1
Factor -2*a**3/5 - 12*a**2.
-2*a**2*(a + 30)/5
Factor 3*n**2/2 - 36*n + 69/2.
3*(n - 23)*(n - 1)/2
What is s in s**4/6 - 37*s**3/6 + 140*s**2/3 + 200*s = 0?
-3, 0, 20
Let 2*h**2/5 + 52*h + 1690 = 0. What is h?
-65
Factor 4*r**2 - 2788*r + 2784.
4*(r - 696)*(r - 1)
Factor 4*h**3/5 + 348*h**2/5 + 5948*h/5 - 1260.
4*(h - 1)*(h + 25)*(h + 63)/5
Suppose 3*r**3 - 30*r**2 - 39*r + 66 = 0. Calculate r.
-2, 1, 11
Factor 3*q**3/5 - 3*q**2/5 - 6*q - 24/5.
3*(q - 4)*(q + 1)*(q + 2)/5
Let -5*k**4/4 - 15*k**3/2 + 95*k**2/4 + 105*k = 0. Calculate k.
-7, -3, 0, 4
What is v in -864*v**3 + 560*v**2 - 118*v + 8 = 0?
4/27, 1/4
Suppose -2*l**3/3 - 52*l**2/3 + 110*l/3 - 56/3 = 0. Calculate l.
-28, 1
Factor -2*u**3/3 + 1124*u**2/3.
-2*u**2*(u - 562)/3
Find p, given that 3*p**5/4 - 13*p**4/4 - p**3/4 + 21*p**2/4 - p/2 - 2 = 0.
-1, -2/3, 1, 4
Factor 2*z**3 + 8*z**2 - 34*z - 120.
2*(z - 4)*(z + 3)*(z + 5)
Factor 7*b**4 - 75*b**3 - 106*b**2 - 24*b.
b*(b - 12)*(b + 1)*(7*b + 2)
Find l, given that -3*l**5/2 - 123*l**4/8 - 9*l**3/4 + 123*l**2/8 + 15*l/4 = 0.
-10, -1, -1/4, 0, 1
Solve 5*x**4 - 130*x**3 + 660*x**2 - 1240*x + 800 = 0 for x.
2, 20
Suppose a**4 - 3*a**3 - 11*a**2 + 3*a + 10 = 0. Calculate a.
-2, -1, 1, 5
Factor b**5/5 + 6*b**4/5 + 14*b**3/5 + 16*b**2/5 + 9*b/5 + 2/5.
(b + 1)**4*(b + 2)/5
Determine h, given that -15*h**4 + 81*h**3 + 165*h**2 + 27*h - 42 = 0.
-1, 2/5, 7
Find m, given that 3*m**5/10 + 19*m**4/10 - 3*m**3/5 - 38*m**2/5 - 12*m/5 = 0.
-6, -2, -1/3, 0, 2
Find t such that t**2/5 + 1533*t/5 - 1534/5 = 0.
-1534, 1
Solve 2*v**4/3 + 28*v**3/3 + 30*v**2 - 112*v/3 - 392/3 = 0.
-7, -2, 2
Solve -4*n**5/5 + 2*n**4 + 94*n**3/5 - 52*n**2/5 - 48*n/5 = 0.
-4, -1/2, 0, 1, 6
Suppose 2*t**2/5 - 216*t/5 = 0. What is t?
0, 108
Find r, given that 2*r**3 + 30*r**2 + 108*r + 80 = 0.
-10, -4, -1
Factor -5*o**4 - 40*o**3 - 105*o**2 - 110*o - 40.
-5*(o + 1)**2*(o + 2)*(o + 4)
Solve i**3 + 57*i**2 + 216*i + 212 = 0.
-53, -2
Factor 45*k**4 - 46*k**3 - k**2 + 2*k.
k*(k - 1)*(5*k + 1)*(9*k - 2)
Find n such that 10*n**3/11 + 74*n**2/11 - 104*n/11 - 168/11 = 0.
-42/5, -1, 2
Determine x, given that 12*x**5 - 8544*x**4 + 1512267*x**3 + 3048069*x**2 + 1909593*x + 382347 = 0.
-1, -1/2, 357
Find g, given that -g**5 - 11*g**4 + 15*g**3 + 31*g**2 - 58*g + 24 = 0.
-12, -2, 1
Suppose -l**5/4 + 19*l**4 - 1873*l**3/4 + 6799*l**2/2 + 8281*l + 4394 = 0. Calculate l.
-1, 26
Determine d so that 3*d**2 + 174*d = 0.
-58, 0
Factor 3*k**3/8 - 21*k**2/4 + 33*k/2 - 15.
3*(k - 10)*(k - 2)**2/8
Factor -v**5/2 - 23*v**4/2 + 12*v**3.
-v**3*(v - 1)*(v + 24)/2
Suppose -2*b**2/3 + 22*b/3 + 52/3 = 0. Calculate b.
-2, 13
Factor -4*c**2/7 - 36*c/7 - 8.
-4*(c + 2)*(c + 7)/7
Factor -4*w**3 + 100*w**2 + 4*w - 100.
-4*(w - 25)*(w - 1)*(w + 1)
Factor -y**5 + 4*y**4 + 21*y**3.
-y**3*(y - 7)*(y + 3)
Suppose -2*g**4 - 34*g**3 - 84*g**2 + 8*g + 112 = 0. Calculate g.
-14, -2, 1
Factor -x**3/3 - 22*x**2/3 + 53*x - 84.
-(x - 3)**2*(x + 28)/3
Suppose -3*b**3 + 3*b**2 + 15*b + 9 = 0. Calculate b.
-1, 3
What is d in -2*d**5 + 18*d**4 + 12*d**3 - 124*d**2 + 150*d - 54 = 0?
-3, 1, 9
What is d in -3*d**3 + 228*d**2 - 447*d + 222 = 0?
1, 74
Let -z**4 + 30*z**3 - 181*z**2 + 60*z + 1100 = 0. What is z?
-2, 5, 22
Determine r, given that -2*r**3/5 - 72*r**2 + 726*r/5 - 364/5 = 0.
-182, 1
Factor -5*q**3 + 115*q**2 - 100*q - 220.
-5*(q - 22)*(q - 2)*(q + 1)
Suppose -3*j**5 + 102*j**4 + 27*j**3 - 918*j**2 = 0. Calculate j.
-3, 0, 3, 34
Determine a so that -a**4/8 + 3*a**3/8 - a**2/4 = 0.
0, 1, 2
Find d, given that -5*d**4 - 930*d**3 - 57660*d**2 - 1191640*d = 0.
-62, 0
Find v such that -v**5/5 + 46*v**4/5 + 48*v**3/5 - 46*v**2/5 - 47*v/5 = 0.
-1, 0, 1, 47
Suppose -2*b**2/5 + 4432*b/5 - 2455328/5 = 0. Calculate b.
1108
Factor d**5/5 - 12*d**4/5 + 52*d**3/5 - 96*d**2/5 + 64*d/5.
d*(d - 4)**2*(d - 2)**2/5
Find a, given that 2*a**3/3 - 52*a**2/3 = 0.
0, 26
Determine s so that -6*s**4 - 26*s**3 + 22*s**2 + 10*s = 0.
-5, -1/3, 0, 1
Let -2*y**2 - 4*y + 16 = 0. What is y?
-4, 2
Suppose -5*z**3 + 330*z**2 - 640*z = 0. What is z?
0, 2, 64
Solve 2*g**3/11 + 30*g**2/11 + 112*g/11 = 0.
-8, -7, 0
Factor 5*n**3 - 415*n**2 - 1740*n.
5*n*(n - 87)*(n + 4)
Determine t so that t**2/3 - 25*t - 162 = 0.
-6, 81
Factor -c**2 - 82*c - 1456.
-(c + 26)*(c + 56)
Factor -4*p**5/5 + 96*p**4/5.
-4*p**4*(p - 24)/5
Factor -3*l**4 - 723*l**3 + 1458*l**2.
-3*l**2*(l - 2)*(l + 243)
Let -5*u**3 + 140*u**2 - 595*u + 460 = 0. What is u?
1, 4, 23
What is o in -o**2/2 + 1005*o/2 + 503 = 0?
-1, 1006
Solve 8*l**5 + 26*l**4 + 30*l**3 + 14*l**2 + 2*l = 0 for l.
-1, -1/4, 0
What is b in -28*b**5 - 398*b**4 + 340*b**3 + 146*b**2 - 60*b = 0?
-15, -1/2, 0, 2/7, 1
Factor -4*s**3 - 8*s**2 + 4*s + 8.
-4*(s - 1)*(s + 1)*(s + 2)
Let -v**3 - 6*v**2 - 12*v - 8 = 0. Calculate v.
-2
Determine t, given that -t**2/8 - 19*t/8 + 23/2 = 0.
-23, 4
Factor 12*v**4 + 104*v**3 - 156*v**2 + 40*v.
4*v*(v - 1)*(v + 10)*(3*v - 1)
Factor 4*m**2/7 - 12104*m/7 + 9156676/7.
4*(m - 1513)**2/7
Suppose 2*m**3 - 196*m**2 = 0. What is m?
0, 98
What is t in -5476*t**2/9 + 592*t/9 - 16/9 = 0?
2/37
Suppose -b**4/3 - 392*b**3/3 - 38416*b**2/3 = 0. What is b?
-196, 0
Suppose -5*t**4 + 25*t**3 + 1355*t**2 - 12265*t + 10890 = 0. Calculate t.
-18, 1, 11
Factor -10*n**2 + 11645*n - 5