 + 84*k**2 - 36*k = 0 for k.
-6, -1, 0, 2/7
Factor -14*z**2/9 - 232*z/3 + 200/9.
-2*(z + 50)*(7*z - 2)/9
Suppose -4*m**5/11 + 58*m**4/11 - 76*m**3/11 - 96*m**2 - 432*m/11 + 486/11 = 0. Calculate m.
-3, -1, 1/2, 9
Factor b**3 + 106*b**2 + 209*b + 104.
(b + 1)**2*(b + 104)
Factor 4*b**4 + 12*b**3 + 8*b**2.
4*b**2*(b + 1)*(b + 2)
Let -3*f**4/8 + 33*f**3/8 + 15*f**2 + 21*f/2 = 0. Calculate f.
-2, -1, 0, 14
Suppose q**2/3 - 2*q/3 = 0. What is q?
0, 2
Factor 2*p**2/5 + 118*p/5 - 24.
2*(p - 1)*(p + 60)/5
Factor -4*m**2/5 - 13384*m/5 + 13388/5.
-4*(m - 1)*(m + 3347)/5
Factor -2*b**3/3 + 34*b**2 + 36*b - 208/3.
-2*(b - 52)*(b - 1)*(b + 2)/3
Factor 2*i**4/11 - 950*i**3/11 + 113286*i**2/11 - 112338*i/11.
2*i*(i - 237)**2*(i - 1)/11
Determine f so that 19*f**3/8 - f**2/2 - 19*f/8 + 1/2 = 0.
-1, 4/19, 1
Let -9*t**5 + 4161*t**4 - 1371*t**3 - 6933*t**2 + 1380*t + 2772 = 0. Calculate t.
-1, -2/3, 1, 462
Let 3*c**2/5 + 21*c + 102/5 = 0. Calculate c.
-34, -1
Determine z, given that -4*z**4 + 1392*z**3 - 181656*z**2 + 10536048*z - 229159044 = 0.
87
Factor 4*q**2 - 8296*q + 4301476.
4*(q - 1037)**2
Solve 33*m**5 + 39*m**4 - 93*m**3 - 51*m**2 + 60*m + 12 = 0.
-2, -1, -2/11, 1
Factor -z**3/6 + 3*z**2 + 21*z/2.
-z*(z - 21)*(z + 3)/6
Find q, given that -5*q**5 - 110*q**4 + 775*q**3 - 1760*q**2 + 1660*q - 560 = 0.
-28, 1, 2
What is j in 3*j**3/7 - 24*j**2/7 - 33*j/7 + 54/7 = 0?
-2, 1, 9
Let 7*d**5/8 + 131*d**4/8 + 39*d**3 + 31*d**2/2 - 8*d = 0. Calculate d.
-16, -2, -1, 0, 2/7
Factor -z**4/5 + 47*z**3/5 - 612*z**2/5 + 1276*z/5 + 1936/5.
-(z - 22)**2*(z - 4)*(z + 1)/5
Determine v, given that v**2 - 3710*v + 3441025 = 0.
1855
Factor -2*y**2 - 156*y.
-2*y*(y + 78)
Factor -4*s**4/7 + 4*s**3 - 8*s**2 + 32*s/7.
-4*s*(s - 4)*(s - 2)*(s - 1)/7
What is m in -4*m**4 + 644*m**3 - 30444*m**2 + 153164*m + 13144256 = 0?
-16, 59
Factor -2*g**4/3 - 124*g**3/3 + 1606*g**2/3.
-2*g**2*(g - 11)*(g + 73)/3
Factor -4*u**3 + 148*u**2 - 1424*u + 2288.
-4*(u - 22)*(u - 13)*(u - 2)
Suppose -m**3/6 + 851*m**2/3 - 724201*m/6 = 0. Calculate m.
0, 851
Factor 2*q**3 - 190*q**2 + 188*q.
2*q*(q - 94)*(q - 1)
Factor 2*t**5 - 578*t**4 + 62196*t**3 - 2920292*t**2 + 47460074*t + 170389446.
2*(t - 73)**4*(t + 3)
Suppose -3*v**3 - 225*v**2 - 5625*v - 46875 = 0. What is v?
-25
Factor -3*f**4 - 24*f**3 - 45*f**2 + 24*f + 48.
-3*(f - 1)*(f + 1)*(f + 4)**2
Factor 2*x**2 - 1480*x + 273800.
2*(x - 370)**2
Factor 2*i**4/9 - 34*i**2/3 - 20*i/9 + 400/3.
2*(i - 6)*(i - 4)*(i + 5)**2/9
What is g in -65*g**2 - 3310*g - 3000 = 0?
-50, -12/13
Factor -s**4/4 + 5*s**3/4 - 2*s**2 + s.
-s*(s - 2)**2*(s - 1)/4
Determine u, given that -5*u**5 + 25*u**4 + 50*u**3 - 100*u**2 - 120*u = 0.
-2, -1, 0, 2, 6
Factor -6*r**2 - 64*r - 90.
-2*(r + 9)*(3*r + 5)
Factor -2*d**2/17 + 110*d/17 - 212/17.
-2*(d - 53)*(d - 2)/17
Factor -z**4/8 + z**3/2 + 3*z**2/2.
-z**2*(z - 6)*(z + 2)/8
Determine k so that k**2/8 - 5*k/8 - 3/4 = 0.
-1, 6
Factor 4*g**2 - 76*g + 72.
4*(g - 18)*(g - 1)
Find v, given that -3*v**2 + 18204*v - 27615468 = 0.
3034
Find h, given that 4*h**3 + 164*h**2 + 1632*h = 0.
-24, -17, 0
Suppose 21*s**5 - 153*s**4 + 168*s**3 - 36*s**2 = 0. What is s?
0, 2/7, 1, 6
What is v in -5*v**3 + 70*v**2 + 75*v = 0?
-1, 0, 15
Factor 2*c**3/9 + 478*c**2/9 - 8*c/9 - 1912/9.
2*(c - 2)*(c + 2)*(c + 239)/9
Factor 2*t**5 + 14*t**4 + 38*t**3 + 50*t**2 + 32*t + 8.
2*(t + 1)**3*(t + 2)**2
Suppose -2*g**3/3 - 284*g**2 - 30246*g = 0. What is g?
-213, 0
Factor -p**4/3 - 28*p**3/3 - 155*p**2/3 - 152*p/3 + 112.
-(p - 1)*(p + 4)**2*(p + 21)/3
Factor -k**5 - 7*k**4 + 129*k**3 + 1107*k**2 + 972*k.
-k*(k - 12)*(k + 1)*(k + 9)**2
Factor -2*o**2 - 200*o - 5000.
-2*(o + 50)**2
Factor x**4 + 17*x**3 - 19*x**2 - 17*x + 18.
(x - 1)**2*(x + 1)*(x + 18)
Suppose 2*d**2/9 - 2*d - 44/9 = 0. Calculate d.
-2, 11
Solve 3*p**4/2 + 3162*p**3 + 1666374*p**2 = 0.
-1054, 0
Find k, given that -2*k**5 - 4*k**4/3 + 2*k**3/3 = 0.
-1, 0, 1/3
Let 5*r**5 - 340*r**4 - 350*r**3 + 340*r**2 + 345*r = 0. What is r?
-1, 0, 1, 69
Solve -5*x**5 + 405*x**4 - 8775*x**3 + 22815*x**2 = 0.
0, 3, 39
Let 2*d**5/11 - 26*d**4/11 + 70*d**3/11 + 98*d**2/11 = 0. What is d?
-1, 0, 7
Factor -3*d**3 - 465*d**2 - 921*d - 459.
-3*(d + 1)**2*(d + 153)
Factor -8*x**5 + 116*x**4.
-4*x**4*(2*x - 29)
Solve -25*d**2/4 - 1665*d/4 + 335/2 = 0.
-67, 2/5
Solve -9*a**3 - 1578*a**2 - 6699*a - 5130 = 0 for a.
-171, -10/3, -1
Determine x so that -5*x**4 - 40*x**3 + 50*x**2 + 40*x - 45 = 0.
-9, -1, 1
Determine a so that 2*a**3 + 1456*a**2 + 263530*a - 532900 = 0.
-365, 2
Determine t so that -15*t**3/4 + 837*t**2/2 + 2367*t/4 + 339/2 = 0.
-1, -2/5, 113
Suppose 2*h**2/25 + 5588*h/25 = 0. What is h?
-2794, 0
Factor -2*b**2 + 2632*b - 865928.
-2*(b - 658)**2
Factor -4*p**2/5 + 76*p - 744/5.
-4*(p - 93)*(p - 2)/5
Factor -11648*l**2/15 + 5836*l/15 - 2/5.
-2*(2*l - 1)*(2912*l - 3)/15
Factor -a**3/5 - 27*a**2/5 - 243*a/5 - 729/5.
-(a + 9)**3/5
Let t**2 + 21*t - 72 = 0. What is t?
-24, 3
Factor -3*a**2 + 45*a - 108.
-3*(a - 12)*(a - 3)
Find c such that 11250*c**2/13 + 4490*c/13 - 4/13 = 0.
-2/5, 1/1125
Let -864*z**5 - 2160*z**4 - 504*z**3 + 2156*z**2 + 1372*z = 0. What is z?
-7/6, 0, 1
Factor -5*h**3 - 75*h**2 - 70*h.
-5*h*(h + 1)*(h + 14)
Factor 3*c**4/4 - 6*c**3 - 6*c**2 + 72*c + 108.
3*(c - 6)**2*(c + 2)**2/4
Let 3*n**3 + 57*n**2 + 294*n + 240 = 0. What is n?
-10, -8, -1
Let 5*w**5 + 80*w**4 + 170*w**3 - 340*w**2 - 175*w + 260 = 0. What is w?
-13, -4, -1, 1
Find y such that -2*y**4/3 + 6*y**2 + 8*y/3 - 8 = 0.
-2, 1, 3
Let -44*j**5 - 168*j**4 + 32*j**3 = 0. What is j?
-4, 0, 2/11
What is c in -2*c**5/3 - 2*c**4 + 128*c**3/3 - 40*c**2 = 0?
-10, 0, 1, 6
Solve 2*g**4/5 + 76*g**3/5 + 14*g**2 - 148*g/5 = 0 for g.
-37, -2, 0, 1
Factor v**5 + 57*v**4 - 262*v**3 - 1118*v**2 - 1227*v - 427.
(v - 7)*(v + 1)**3*(v + 61)
Suppose -5*a**4/2 + 650*a**3 - 63375*a**2 + 2746250*a - 89253125/2 = 0. Calculate a.
65
Factor 4*a**2 + 4768*a + 1420864.
4*(a + 596)**2
Factor f**3 + 134*f**2 + 4864*f + 24576.
(f + 6)*(f + 64)**2
Factor -3*g**4 + 24*g**3 + 3*g**2 - 24*g.
-3*g*(g - 8)*(g - 1)*(g + 1)
What is s in -3*s**5/4 + 1365*s**4/2 - 207252*s**3 + 42140331*s**2/2 - 83454381*s/4 = 0?
0, 1, 303
Determine j, given that -j**2/4 + 64*j = 0.
0, 256
Factor h**2/3 - 19*h/3 + 88/3.
(h - 11)*(h - 8)/3
Let 2*c**5/3 - 22*c**4/3 - 82*c**3/3 - 34*c**2/3 + 80*c/3 + 56/3 = 0. What is c?
-2, -1, 1, 14
Factor 2*o**2 + 66*o - 216.
2*(o - 3)*(o + 36)
Factor -25*z**3 - 260*z**2 - 725*z - 250.
-5*(z + 5)**2*(5*z + 2)
Let 2*f**2/9 + 14*f/9 - 220/3 = 0. What is f?
-22, 15
Determine d, given that -d**5/6 - 35*d**4/6 - 215*d**3/6 + 35*d**2/6 + 36*d = 0.
-27, -8, -1, 0, 1
Factor -147*c**3/4 - 903*c**2/4 + 855*c/4 - 189/4.
-3*(c + 7)*(7*c - 3)**2/4
Solve -q**2/5 - 8*q/5 - 12/5 = 0.
-6, -2
Let -15*v**5 + 9*v**4 + 240*v**3 - 456*v**2 - 144*v + 528 = 0. What is v?
-22/5, -1, 2
Factor -2*s**4 - 28*s**3 - 90*s**2 - 104*s - 40.
-2*(s + 1)**2*(s + 2)*(s + 10)
Factor -2*c**3 + 212*c**2.
-2*c**2*(c - 106)
Factor -3*f**2/2 - 18*f + 399/2.
-3*(f - 7)*(f + 19)/2
Determine y, given that -y**4 - 164*y**3 + 166*y**2 + 164*y - 165 = 0.
-165, -1, 1
Factor 4*a**3 - 2704*a**2 - 5424*a.
4*a*(a - 678)*(a + 2)
Factor 2*r**3/17 + 842*r**2/17 + 88198*r/17 - 89042/17.
2*(r - 1)*(r + 211)**2/17
Factor 4*b**5 + 4*b**4 - 20*b**3 + 12*b**2.
4*b**2*(b - 1)**2*(b + 3)
Factor 4*p**5/9 + 16*p**4/3 + 76*p**3/3 + 536*p**2/9 + 208*p/3 + 32.
4*(p + 2)**3*(p + 3)**2/9
Find x such that x**3/3 - 59*x**2/3 - 62*x = 0.
-3, 0, 62
Find t such that -10*t**5 - 18*t**4 + 152*t**3/5 + 352*t**2/5 + 192*t/5 + 32/5 = 0.
-2, -1, -2/5, 2
What is j in -5*j**4 - 25*j**3 + 235*j**2 - 195*j - 450 = 0?
-10, -1, 3
Determine k so that 4*k**3 + 196*k**2 - 2260*k + 5900 = 0.
-59, 5
Determine a, given that 4*a**3/13 - 218*a**2/13 + 908*a/13 - 400/13 = 0.
1/2, 4, 50
Factor 5*i**3 - 40*i**2.
5*i**2*(i - 8)
Suppose -n**3/4 + 8017*n**2/4 - 4018020*n + 4016016 = 0. What is n?
1, 4008
Determine k, given that -2*k**2/9 + 64*k/9 - 154/3 = 0.
11, 21
Factor -4*c**2 - 28*c + 312.
-4*(c - 6)*(c + 13)
Factor 4*f**5 + 12*f**4 + 12*f**3 + 4*f**2.
4*f**2*(f + 1)**3
Find q, given that -81*q**2 - 654*q - 48 = 0.
-8, -2/27
Suppose -5*f**4 - 515*f**3 + 5*f**2 + 515*f = 0. What is f?
-103, -1, 0, 1
Determine i so that 14*i**4 - 16*i**3 - 58*i**2 + 60*i = 0.