5 + 16*s**2/5 - 4*s/5 = 0 for s.
0, 2/3, 1, 2
Let -25*w**2/2 - 55*w - 20 = 0. Calculate w.
-4, -2/5
Suppose -15*p**3 - 3339*p**2 - 21342*p + 9072 = 0. What is p?
-216, -7, 2/5
Let -3*b**3 - 285*b**2 - 561*b - 279 = 0. Calculate b.
-93, -1
Factor 5*k**2/2 - 195*k/2 - 100.
5*(k - 40)*(k + 1)/2
Let -5*x**5 - 105*x**4 - 265*x**3 + 105*x**2 + 270*x = 0. Calculate x.
-18, -3, -1, 0, 1
Find a such that -5*a**2 - 110*a - 605 = 0.
-11
Factor -2*s**2/5 - 2664*s/5 - 887112/5.
-2*(s + 666)**2/5
Solve 3*x**3/7 - 102*x**2/7 + 99*x/7 = 0.
0, 1, 33
Factor -3*t**3 + 12*t**2 + 3*t - 12.
-3*(t - 4)*(t - 1)*(t + 1)
Solve 21*l**3/4 - 65*l**2/4 + 12*l - 1 = 0.
2/21, 1, 2
Solve 4*w**2 + 3052*w - 6120 = 0.
-765, 2
Factor -z**3/8 + 19*z**2/8 - 49*z/4 + 10.
-(z - 10)*(z - 8)*(z - 1)/8
Factor 5*z**3 - 485*z**2 + 12000*z - 11520.
5*(z - 48)**2*(z - 1)
Determine o, given that 145*o**4 - 10*o**3 - 435*o**2 - 260*o + 20 = 0.
-1, 2/29, 2
Solve 4*l**5/5 + 18*l**4/5 - 158*l**3/5 + 288*l**2/5 - 152*l/5 = 0 for l.
-19/2, 0, 1, 2
Suppose -3*l**4/7 - 15*l**3/7 + 3*l**2/7 + 15*l/7 = 0. Calculate l.
-5, -1, 0, 1
Factor d**2/3 + 22*d/3 + 7.
(d + 1)*(d + 21)/3
Let -4*z**3/3 - 16*z**2 - 44*z/3 = 0. What is z?
-11, -1, 0
Factor -5*s**4/3 + 9*s**3 - 10*s**2 + 8*s/3.
-s*(s - 4)*(s - 1)*(5*s - 2)/3
Factor 3*t**2/2 + 75*t + 504.
3*(t + 8)*(t + 42)/2
Let 2*n**2 + 977*n - 489 = 0. Calculate n.
-489, 1/2
Let -2*z**3/17 - 72*z**2/17 - 70*z/17 = 0. Calculate z.
-35, -1, 0
Let 2*p**5/15 + 2*p**4/15 - 2*p**3/5 - 2*p**2/3 - 4*p/15 = 0. Calculate p.
-1, 0, 2
What is m in m**4/2 + 13*m**3 - 58*m**2 + 60*m = 0?
-30, 0, 2
Find u, given that -u**4/5 - 21*u**3/5 - 81*u**2/5 + 149*u/5 + 42 = 0.
-15, -7, -1, 2
Determine b so that b**5 + 13*b**4 + 60*b**3 + 112*b**2 + 64*b = 0.
-4, -1, 0
Factor 2*o**5 + 10*o**4 - 2*o**3 - 34*o**2 + 24*o.
2*o*(o - 1)**2*(o + 3)*(o + 4)
Solve 2*j**3/19 - 568*j**2/19 + 2030*j + 252300/19 = 0 for j.
-6, 145
Factor -2*j**3/5 - 72*j**2/5 - 318*j/5 - 248/5.
-2*(j + 1)*(j + 4)*(j + 31)/5
Factor -2*d**3 - 6*d**2 + 8.
-2*(d - 1)*(d + 2)**2
Suppose -8*h**5/3 + 254*h**4/3 - 856*h**3/3 + 442*h**2/3 + 56*h = 0. What is h?
-1/4, 0, 1, 3, 28
Factor -2*l**4 + 104*l**3 + 214*l**2 + 108*l.
-2*l*(l - 54)*(l + 1)**2
What is z in 3*z**4 + 90*z**3 - 192*z**2 = 0?
-32, 0, 2
Find p such that 5*p**2 + 90*p - 95 = 0.
-19, 1
Let -3*a**5/4 - 3*a**4/2 + 51*a**3/4 + 105*a**2/2 + 69*a + 30 = 0. What is a?
-2, -1, 5
Factor 3*a**4/2 + 21*a**3/2 + 15*a**2.
3*a**2*(a + 2)*(a + 5)/2
Let -2*p**3/5 + 38*p**2/5 - 48*p + 504/5 = 0. What is p?
6, 7
Factor 2*s**4/7 + 8*s**3/7 - 32*s/7 - 32/7.
2*(s - 2)*(s + 2)**3/7
Factor 2*t**3/7 + 50*t**2/7.
2*t**2*(t + 25)/7
Suppose 6*i**5/5 + 144*i**4/5 + 846*i**3/5 + 1284*i**2/5 + 576*i/5 = 0. Calculate i.
-16, -6, -1, 0
Factor -2*b**3/7 + 212*b**2/7.
-2*b**2*(b - 106)/7
Factor -2*s**2/7 - 18*s/7 - 40/7.
-2*(s + 4)*(s + 5)/7
Factor 4*s**5 - 48*s**4 + 184*s**3 - 240*s**2 + 100*s.
4*s*(s - 5)**2*(s - 1)**2
Factor -3*g**2 - 285*g + 288.
-3*(g - 1)*(g + 96)
Let 2*r**5 + 46*r**4 + 42*r**3 - 46*r**2 - 44*r = 0. Calculate r.
-22, -1, 0, 1
Find o, given that -4*o**5/3 + 28*o**4/3 - 16*o**3 - 64*o**2/3 + 256*o/3 - 64 = 0.
-2, 2, 3
Factor 3*g**4/2 - 9*g**3 + 33*g + 45/2.
3*(g - 5)*(g - 3)*(g + 1)**2/2
Determine z, given that -25*z**5 + 1970*z**4 - 8930*z**3 + 3460*z**2 + 17715*z + 3330 = 0.
-1, -1/5, 3, 74
Determine p so that -16*p**5/5 + 12*p**4/5 + 948*p**3/5 + 2012*p**2/5 + 1308*p/5 + 216/5 = 0.
-6, -1, -1/4, 9
Factor -4*f**5 - 88*f**4 + 360*f**3 + 1568*f**2 + 1724*f + 600.
-4*(f - 6)*(f + 1)**3*(f + 25)
Factor 2*r**2/9 + 7622*r/9 + 2540/3.
2*(r + 1)*(r + 3810)/9
Factor -3*h**5 + 99*h**4 + 102*h**3.
-3*h**3*(h - 34)*(h + 1)
What is v in -3*v**3 + 42*v**2 + 216*v = 0?
-4, 0, 18
Factor 5*i**3 + 80*i**2 + 420*i + 720.
5*(i + 4)*(i + 6)**2
Find h, given that -6*h**3 + 219*h**2 - 708*h + 495 = 0.
1, 5/2, 33
Solve -k**2 + 28*k - 52 = 0 for k.
2, 26
Suppose -3*n**2 - 111*n - 108 = 0. What is n?
-36, -1
Let -s**2/8 + 13*s/8 + 7/4 = 0. Calculate s.
-1, 14
Determine v, given that 4*v**5 - 2020*v**4 + 2008*v**3 + 4032*v**2 = 0.
-1, 0, 2, 504
Suppose p**5 - 19*p**4 + 33*p**3 + 19*p**2 - 34*p = 0. What is p?
-1, 0, 1, 2, 17
Find g such that 3*g**3/5 - 18*g**2/5 - 21*g/5 = 0.
-1, 0, 7
Factor 5*f**3 - 5*f**2 - 50*f - 40.
5*(f - 4)*(f + 1)*(f + 2)
Factor 5*t**4 - 200*t**3 + 2185*t**2 - 3610*t.
5*t*(t - 19)**2*(t - 2)
Factor -3*a**2/5 + 3*a + 18/5.
-3*(a - 6)*(a + 1)/5
Find m such that -2*m**4/5 + 2*m**3 - 12*m**2/5 = 0.
0, 2, 3
Solve -4*s**3 + 316*s**2 - 3680*s - 110032 = 0 for s.
-13, 46
Factor -4*g**3/7 + 4*g**2/7 + 32*g/7 - 48/7.
-4*(g - 2)**2*(g + 3)/7
Factor l**3/4 + 3*l**2 + 27*l/4.
l*(l + 3)*(l + 9)/4
What is f in -f**3/7 - 15*f**2/7 + 16*f/7 = 0?
-16, 0, 1
Let 2*i**4 - 102*i**3 + 1518*i**2 - 5290*i = 0. What is i?
0, 5, 23
Determine g so that g**3/5 + 84*g**2/5 + 369*g + 3362/5 = 0.
-41, -2
Suppose 4*k**5 - 10*k**4 - 16*k**3 + 34*k**2 - 12*k = 0. What is k?
-2, 0, 1/2, 1, 3
Factor -c**3/3 - 332*c**2/3 - 27556*c/3.
-c*(c + 166)**2/3
What is c in c**2 - 1492*c + 556516 = 0?
746
Solve -2*l**2/5 - 8*l/5 - 8/5 = 0.
-2
Find n such that 3*n**3 - 45*n**2/4 + 27*n/4 = 0.
0, 3/4, 3
Factor z**4/5 - 259*z**3/5 + 16108*z**2/5 + 86064*z/5 + 69696/5.
(z - 132)**2*(z + 1)*(z + 4)/5
Factor l**2/4 + 5*l/4 - 525/2.
(l - 30)*(l + 35)/4
Factor m**3 + 105*m**2 + 3675*m + 42875.
(m + 35)**3
Factor 3*m**2 + 8817*m.
3*m*(m + 2939)
Factor p**3 - 9*p**2 + 24*p - 20.
(p - 5)*(p - 2)**2
Find m such that -5*m**5 + 45*m**4 + 10*m**3 - 90*m**2 - 5*m + 45 = 0.
-1, 1, 9
Determine a, given that 2*a**4 + 6*a**3 - 270*a**2 + 514*a - 252 = 0.
-14, 1, 9
Factor 88*k**4 + k**3 - 88*k**2 - k.
k*(k - 1)*(k + 1)*(88*k + 1)
Factor -5*v**3 - 125*v**2 - 340*v - 220.
-5*(v + 1)*(v + 2)*(v + 22)
Factor 15*v**3 + 57*v**2 + 66*v + 24.
3*(v + 1)*(v + 2)*(5*v + 4)
Factor 2*s**3 - 48*s**2 + 280*s.
2*s*(s - 14)*(s - 10)
Solve 4*h**4 - 36*h**3 + 32*h**2 = 0.
0, 1, 8
Factor -6630625*w**2 - 10300*w - 4.
-(2575*w + 2)**2
Factor -5*v**3 + 10*v**2 + 65*v + 50.
-5*(v - 5)*(v + 1)*(v + 2)
Find a, given that 208*a**3/15 + 2*a**2/5 - 208*a/15 - 2/5 = 0.
-1, -3/104, 1
Factor 2*a**2/5 + 116*a/5 + 714/5.
2*(a + 7)*(a + 51)/5
Find n such that n**5/4 + 3*n**4/2 + 3*n**3 + 5*n**2/2 + 3*n/4 = 0.
-3, -1, 0
Factor 4*b**3 + 376*b**2 + 9200*b + 16928.
4*(b + 2)*(b + 46)**2
Let 2*w**5/3 + 20*w**4 + 18*w**3 - 116*w**2/3 = 0. Calculate w.
-29, -2, 0, 1
Determine x, given that 12*x**5/7 + 9*x**4 - 141*x**3/7 + 45*x**2/7 + 3*x = 0.
-7, -1/4, 0, 1
Suppose 5*x**4 - 30*x**3 + 40*x**2 = 0. What is x?
0, 2, 4
Factor 3*b**3/2 + 11*b**2/2 + 3*b.
b*(b + 3)*(3*b + 2)/2
Solve 2*m**3/7 - 8*m**2/7 - 42*m - 540/7 = 0.
-9, -2, 15
Determine t so that 6*t**5 + 72*t**4 + 190*t**3/3 - 32*t**2 - 88*t/3 = 0.
-11, -1, -2/3, 0, 2/3
What is l in 2*l**3/3 + 24*l**2 - 230*l/3 + 52 = 0?
-39, 1, 2
Factor -c**3/2 + 1032*c**2 - 532512*c.
-c*(c - 1032)**2/2
Factor 18*v**3/5 + 896*v**2/5 + 1528*v/5 - 384/5.
2*(v + 2)*(v + 48)*(9*v - 2)/5
Factor 4*x**5 + 80*x**4 + 464*x**3 + 256*x**2 - 3072*x.
4*x*(x - 2)*(x + 6)*(x + 8)**2
Suppose -38*y**3 - 4*y**2 + 38*y + 4 = 0. What is y?
-1, -2/19, 1
Suppose -w**5/3 + 4*w**4/3 - 2*w**3/3 - 4*w**2/3 + w = 0. Calculate w.
-1, 0, 1, 3
Let -35*b**4 + 255*b**3 - 560*b**2 + 420*b - 80 = 0. Calculate b.
2/7, 1, 2, 4
Factor 3*l**4 + 6*l**3 - 87*l**2 - 90*l.
3*l*(l - 5)*(l + 1)*(l + 6)
Determine q so that -q**4 + q**3 + 23*q**2 + 39*q + 18 = 0.
-3, -1, 6
Suppose 2*y**4 - 258*y**3 + 762*y**2 - 758*y + 252 = 0. What is y?
1, 126
What is n in -2*n**3/9 + 2*n**2 + 14*n/3 - 490/9 = 0?
-5, 7
Find z such that -5*z**3/4 + 445*z**2/2 - 33725*z/4 - 135375 = 0.
-12, 95
Solve -2*w**2/11 - 16*w/11 - 32/11 = 0.
-4
Suppose 405*h**4/2 + 3501*h**3/2 - 1115*h**2 - 746*h - 92 = 0. What is h?
-46/5, -2/9, 1
Factor -f**2/5 - 6*f + 136/5.
-(f - 4)*(f + 34)/5
Suppose 9*p**5 + 16*p**4 - 31*p**3 - 66*p**2 - 20*p + 8 = 0. Calculate p.
-2, -1, 2/9, 2
Solve -16*f**5/3 + 20*f**4/3 + 572*f**3/3 - 240*f**2 + 48*f = 0 for f.
-6, 0, 1/4, 1, 6
Factor -i**2/4 - 399*i/4 - 199/2.
-(i + 1)*(i + 398)/4
Determine m so that 2*m**3 + 36*m**2 - 122*m + 84 = 0.
-21, 1, 2
Factor 4*s**5 - 104*s**4 + 376*s**3 - 544*s**2 + 356*s - 88.
4*(s - 22)*(s - 1)**4
Factor o**4 - 3*o**3 - 3*o**2 + 11*o - 6.
(o - 3)*(o - 1)**2