- 9*p**2/7 + 3*p/7 + 6/7.
3*(p - 2)*(p - 1)*(p + 1)**2/7
Let -3*n**5/2 - 65*n**4/2 - 101*n**3/2 - 19*n**2/2 + 10*n = 0. Calculate n.
-20, -1, 0, 1/3
Factor 10*o**3 + 2956*o**2 + 217856*o - 87616.
2*(o + 148)**2*(5*o - 2)
Determine y so that 2*y**4/15 - 14*y**3/5 - 356*y**2/15 + 288*y/5 = 0.
-8, 0, 2, 27
Determine z, given that 2*z**3/11 - 6*z**2 + 544*z/11 - 840/11 = 0.
2, 10, 21
Factor a**3 + 112*a**2 + 3348*a + 11664.
(a + 4)*(a + 54)**2
Solve 4*b**3 + 40*b**2 - 252*b - 2592 = 0.
-9, 8
Let 3*g**2/5 + 399*g/5 + 5916/5 = 0. What is g?
-116, -17
Factor -b**5/2 - 21*b**4/2 - 113*b**3/2 - 223*b**2/2 - 93*b - 28.
-(b + 1)**3*(b + 4)*(b + 14)/2
Suppose u**4 - 26*u**3/3 - 39*u**2 - 12*u = 0. Calculate u.
-3, -1/3, 0, 12
Factor -2*n**2 - 4*n + 30.
-2*(n - 3)*(n + 5)
Factor -3*k**5/7 + 15*k**4/7 - 18*k**3/7 - 12*k**2/7 + 24*k/7.
-3*k*(k - 2)**3*(k + 1)/7
Determine o so that -o**2/3 + 605*o/3 - 602 = 0.
3, 602
What is m in 6*m**5 + 28*m**4 - 50*m**3 - 8*m**2 + 24*m = 0?
-6, -2/3, 0, 1
Factor -n**4 + 2*n**3 - n**2.
-n**2*(n - 1)**2
Let -10*i**3 + 105*i**2 + 700*i - 375 = 0. What is i?
-5, 1/2, 15
Factor -4*u**2 + 96*u + 208.
-4*(u - 26)*(u + 2)
Factor s**4 - 823*s**3 - 825*s**2 + 823*s + 824.
(s - 824)*(s - 1)*(s + 1)**2
Factor -p**3 + p.
-p*(p - 1)*(p + 1)
Factor 3*q**3/2 + 153*q**2/2 + 756*q - 5880.
3*(q - 5)*(q + 28)**2/2
Let g**3 + 10*g**2 - 119*g = 0. Calculate g.
-17, 0, 7
Determine v, given that 13*v**2 + 35*v - 12 = 0.
-3, 4/13
Let -l**5/8 - 13*l**4 - 303*l**3/8 = 0. What is l?
-101, -3, 0
Suppose -9*y**2 - 231*y - 150 = 0. Calculate y.
-25, -2/3
Determine d, given that -6*d**4/11 - 14*d**3/11 + 6*d**2 - 6*d + 20/11 = 0.
-5, 2/3, 1
Suppose -2*g**2/9 - 9196*g/3 - 10570802 = 0. Calculate g.
-6897
Factor -32*f**5/3 - 16*f**4/3 + 24*f**3 - 44*f**2/3 + 8*f/3.
-4*f*(f + 2)*(2*f - 1)**3/3
Factor 2*a**3/9 - 14*a**2/9 + 8.
2*(a - 6)*(a - 3)*(a + 2)/9
Find h such that -2*h**3 - 116*h**2 - 1472*h - 5376 = 0.
-42, -8
Factor -d**2/3 - 2*d - 8/3.
-(d + 2)*(d + 4)/3
Factor -5*v**2 + 200*v.
-5*v*(v - 40)
Find j, given that -2*j**2/9 - 82*j/9 = 0.
-41, 0
Factor 9*l**3/2 + 123*l**2/2 - 21*l.
3*l*(l + 14)*(3*l - 1)/2
Factor -m**4/3 - 5*m**3/3 - 3*m**2 - 7*m/3 - 2/3.
-(m + 1)**3*(m + 2)/3
Determine v so that -6*v**4/7 - 84*v**3 - 14982*v**2/7 - 4032*v - 13824/7 = 0.
-48, -1
Suppose 4*q**2 - 2132*q + 2128 = 0. What is q?
1, 532
Factor -4*t**4 + 80*t**3 - 144*t**2.
-4*t**2*(t - 18)*(t - 2)
Let -2*y**5 - 278*y**4/5 - 204*y**3/5 + 332*y**2/5 + 214*y/5 - 54/5 = 0. Calculate y.
-27, -1, 1/5, 1
Determine a so that 4*a**4/3 - 8*a**3/9 - 4*a**2/9 = 0.
-1/3, 0, 1
Determine t so that 900*t**3 - 89340*t**2 + 23776*t - 1584 = 0.
2/15, 99
What is y in 14*y**5/15 - 256*y**4/15 + 1192*y**3/15 - 68*y**2/15 - 402*y/5 + 108/5 = 0?
-1, 2/7, 1, 9
What is q in -5*q**2 - 295*q - 1350 = 0?
-54, -5
Factor g**4 + 24*g**3 - 175*g**2 + 150*g.
g*(g - 5)*(g - 1)*(g + 30)
Factor -2*d**4 - 160*d**3 - 912*d**2 - 1792*d - 1184.
-2*(d + 2)**3*(d + 74)
Let 8*z**5 + 470*z**4 + 7514*z**3 + 17804*z**2 + 7616*z - 3136 = 0. Calculate z.
-28, -2, -1, 1/4
Find z such that -z**3 - 11*z**2 = 0.
-11, 0
Suppose -4*k**4 - 240*k**3 + 760*k**2 + 240*k - 756 = 0. What is k?
-63, -1, 1, 3
Factor -d**2/9 + 128*d/9 - 4096/9.
-(d - 64)**2/9
Factor q**3 - 14*q**2 - 35*q + 48.
(q - 16)*(q - 1)*(q + 3)
Find q such that 2*q**5/11 - 10*q**4/11 - 16*q**3/11 + 8*q**2 + 64*q/11 - 128/11 = 0.
-2, 1, 4
Let g**5 + 6*g**4 - 10*g**3 - 60*g**2 + 9*g + 54 = 0. What is g?
-6, -3, -1, 1, 3
Factor 3*t**5 + 1929*t**4 - 3870*t**3 + 6*t**2 + 3867*t - 1935.
3*(t - 1)**3*(t + 1)*(t + 645)
Factor -50*i**3/13 + 7260*i**2/13 + 5832*i/13 + 1168/13.
-2*(i - 146)*(5*i + 2)**2/13
Solve -u**2 + 3*u + 4 = 0 for u.
-1, 4
What is m in m**3/5 + m**2/5 = 0?
-1, 0
Factor -2*r**4/5 - r**3/5 + 2*r**2/5 + r/5.
-r*(r - 1)*(r + 1)*(2*r + 1)/5
Determine v so that -41*v**2/6 + 125*v/6 - 1 = 0.
2/41, 3
Factor m**3 + 101*m**2 + 296*m + 196.
(m + 1)*(m + 2)*(m + 98)
Let 2*z**4/5 + 152*z**3/5 + 2888*z**2/5 = 0. Calculate z.
-38, 0
Factor -2*j**4/3 + 50*j**3/3 - 374*j**2/3 + 242*j.
-2*j*(j - 11)**2*(j - 3)/3
Factor -3*x**3/8 + 87*x**2/8 - 84*x + 147/2.
-3*(x - 14)**2*(x - 1)/8
Solve z**3/2 - 45*z**2/2 - 23*z = 0 for z.
-1, 0, 46
Let -5*r**2 + 65*r + 240 = 0. Calculate r.
-3, 16
Let -15*k**2 - 462*k + 93 = 0. Calculate k.
-31, 1/5
Let -2*h**4/19 - 1264*h**3/19 - 198444*h**2/19 + 400688*h/19 - 200978/19 = 0. Calculate h.
-317, 1
Determine i so that 5*i**3 + 425*i**2 - 5*i - 425 = 0.
-85, -1, 1
What is z in -z**3 + 12*z - 16 = 0?
-4, 2
Factor -k**2/7 - 29*k/7 + 36.
-(k - 7)*(k + 36)/7
Solve -110*t**3 - 135*t**2 - 25*t = 0.
-1, -5/22, 0
What is r in -r**5 + 3*r**4 - 3*r**3 + r**2 = 0?
0, 1
Find m, given that 5*m**3 - 550*m**2 + 2645*m - 2100 = 0.
1, 4, 105
Factor -55*x**3 + 205*x**2 + 60*x.
-5*x*(x - 4)*(11*x + 3)
Suppose -a**4 - 56*a**3 + a**2 + 56*a = 0. Calculate a.
-56, -1, 0, 1
Solve 2*i**2/17 + 8*i/17 + 8/17 = 0.
-2
Suppose 2*b**4 + 282*b**3 - 286*b**2 - 282*b + 284 = 0. What is b?
-142, -1, 1
Determine l so that -l**5/3 + 2*l**4 + 8*l**3/3 - 16*l**2 - 16*l/3 + 32 = 0.
-2, 2, 6
Factor 4*y**2 - 1980*y.
4*y*(y - 495)
Factor 96*f**3 + 10*f**2.
2*f**2*(48*f + 5)
What is r in -3*r**3 + 3120*r**2 - 3117*r = 0?
0, 1, 1039
Solve -230*v**3 + 1146*v**2 - 900*v - 16 = 0 for v.
-2/115, 1, 4
Factor -4*v**4 + 36*v**3 - 120*v**2 + 176*v - 96.
-4*(v - 3)*(v - 2)**3
Factor -3*n**5/4 - 3*n**4/4 + 3*n**3/4 + 3*n**2/4.
-3*n**2*(n - 1)*(n + 1)**2/4
Suppose -x**2/3 - 4*x/3 + 32/3 = 0. What is x?
-8, 4
What is g in -4*g**2 - 568*g - 20164 = 0?
-71
Factor 5*a**3/3 - 290*a**2/3 + 1575*a - 4860.
5*(a - 27)**2*(a - 4)/3
Factor -3*a**3/4 - 9*a**2/2 + 3*a/4 + 9/2.
-3*(a - 1)*(a + 1)*(a + 6)/4
Factor 2*j**3/7 - 18*j**2/7.
2*j**2*(j - 9)/7
Factor 2*z**2/5 + 818*z/5.
2*z*(z + 409)/5
Determine l, given that 4*l**5 + 4*l**4 - 68*l**3 - 84*l**2 + 144*l = 0.
-3, 0, 1, 4
What is k in -5*k**3 + 935*k**2 + 5*k - 935 = 0?
-1, 1, 187
Determine p so that 4*p**3 - 4*p**2 - 8*p = 0.
-1, 0, 2
Find d, given that 4*d**3 - 12*d - 8 = 0.
-1, 2
What is v in -v**3/4 + 31*v**2/4 + 17*v/2 - 16 = 0?
-2, 1, 32
What is t in -5*t**4 - 18*t**3 + 216*t**2 - 270*t - 243 = 0?
-9, -3/5, 3
Let 3*h**3 + 3362*h**2 + 8948*h + 4472 = 0. What is h?
-1118, -2, -2/3
What is z in -5*z**4 - 50*z**3 - 180*z**2 - 280*z - 160 = 0?
-4, -2
Suppose -2*n**2/3 + 38*n/3 - 12 = 0. What is n?
1, 18
What is l in 2*l**2 + 376*l + 17672 = 0?
-94
Solve -2*r**2/3 + 28*r + 86/3 = 0 for r.
-1, 43
Determine d so that d**2/5 + 2*d + 16/5 = 0.
-8, -2
Factor 5*q**2 + 14940*q + 11160180.
5*(q + 1494)**2
Factor -2*j**2/7 + 138*j/7 - 136/7.
-2*(j - 68)*(j - 1)/7
Factor d**3/6 - 149*d**2/2 + 22201*d/2 - 3307949/6.
(d - 149)**3/6
Let -3*q**5 + 3*q**4 = 0. What is q?
0, 1
Factor -5*k**2 + 1565*k + 1570.
-5*(k - 314)*(k + 1)
Suppose -g**3/4 + 25*g**2 - 99*g/4 = 0. What is g?
0, 1, 99
Suppose a**4/2 + 3*a**3 + 4*a**2 - 3*a - 9/2 = 0. Calculate a.
-3, -1, 1
Factor -4*g**4 - 64*g**3 + 68*g**2.
-4*g**2*(g - 1)*(g + 17)
Determine l so that 2*l**2/11 - 104*l/11 + 200/11 = 0.
2, 50
Determine z so that 2*z**4/5 - 38*z**3/5 + 28*z**2 = 0.
0, 5, 14
What is n in 12*n**5/5 + 166*n**4/5 + 848*n**3/5 + 384*n**2 + 1792*n/5 + 512/5 = 0?
-4, -4/3, -1/2
Factor q**4/7 - 16*q**3/7 + 29*q**2/7 - 2*q.
q*(q - 14)*(q - 1)**2/7
Factor -126*t**4 - 249*t**3 - 120*t**2 + 3*t.
-3*t*(t + 1)**2*(42*t - 1)
Factor 11*t**3 + 1698*t**2 + 65835*t + 23716.
(t + 77)**2*(11*t + 4)
Find q such that 2*q**2/5 - 74*q/5 - 76/5 = 0.
-1, 38
Let 5*b**3 + 20*b**2 - 2895*b + 5670 = 0. What is b?
-27, 2, 21
Determine y, given that 3*y**3 - 1412*y**2 - 473*y + 942 = 0.
-1, 2/3, 471
What is k in 4*k**2/3 - 16*k/3 - 2288/3 = 0?
-22, 26
Factor 9*j**3 + 56*j**2 + 12*j.
j*(j + 6)*(9*j + 2)
Determine i so that -2*i**5 - 40*i**4 - 128*i**3 + 1076*i**2 + 3586*i + 2420 = 0.
-11, -2, -1, 5
Factor -w**5/3 + 2*w**4 - 13*w**3/3 + 4*w**2 - 4*w/3.
-w*(w - 2)**2*(w - 1)**2/3
Find b, given that 5*b**4 + 20*b**3 - 65*b**2 - 20*b + 60 = 0.
-6, -1, 1, 2
Let 4*k**5 - 12*k**4 - 48*k**3 + 80*k**2 + 192*k = 0. What is k?
-2, 0, 3, 4
Find k, given that k**4 + 5*k**3 - 6*k**2 - 32*k + 32 = 0.
-4, 1, 2
Factor 4*i**2/3 + 361*i/3 + 30.
(i + 90)*(4*i + 1)/3
Let -14*x**5/3 + 22*x**4 - 106*x**3/3 + 62*x**2/3 - 8/3 = 0. Calculate x.
-2/7, 1,