 + 171*n**2 + 3024*n + 15552.
3*(n + 9)*(n + 24)**2
Let -21*v**5/2 + 67*v**4/2 - 8*v**3/3 - 52*v**2 + 8*v + 40/3 = 0. What is v?
-1, -10/21, 2/3, 2
Determine s, given that 5*s**3 + 40*s**2 + 25*s - 250 = 0.
-5, 2
Find v such that -3*v**2/7 + 81*v/7 - 54 = 0.
6, 21
Solve o**2/2 - 1253*o + 1570009/2 = 0 for o.
1253
Factor -4*h**3 + 716*h**2 + 2912*h + 2928.
-4*(h - 183)*(h + 2)**2
Factor 841*h**2/2 - 6148*h + 22472.
(29*h - 212)**2/2
Factor k**3 - 8*k**2 - 9*k.
k*(k - 9)*(k + 1)
Factor -v**3/8 - 71*v**2/8 - 153*v + 162.
-(v - 1)*(v + 36)**2/8
Find s such that s**2 + 5*s - 50 = 0.
-10, 5
Find f such that f**2 - 98*f = 0.
0, 98
Factor -3*v**3 - 99*v**2 - 648*v + 2916.
-3*(v - 3)*(v + 18)**2
What is w in -4*w**2 + 12*w + 16 = 0?
-1, 4
Factor 5*y**4 + 25*y**3 + 35*y**2 + 15*y.
5*y*(y + 1)**2*(y + 3)
Factor -2*c**2 + 648*c - 1288.
-2*(c - 322)*(c - 2)
Solve -6*n**4 + 26*n**3 + 34*n**2 - 74*n + 20 = 0.
-2, 1/3, 1, 5
Let k**3/8 + 39*k**2/8 + 507*k/8 + 2197/8 = 0. Calculate k.
-13
Factor 102*y**3 + 2643*y**2 + 17004*y - 1521.
3*(y + 13)**2*(34*y - 3)
Factor -5*w**3 - 34*w**2 - 23*w + 6.
-(w + 1)*(w + 6)*(5*w - 1)
Factor 3*c**2/4 + 225*c/2 + 16875/4.
3*(c + 75)**2/4
Factor j**2/10 + 28*j/5 + 423/10.
(j + 9)*(j + 47)/10
Find a, given that -a**4/3 - a**3/3 + 2*a**2/3 = 0.
-2, 0, 1
Solve -5*k**2 - 80*k = 0 for k.
-16, 0
What is l in 8*l**3/9 + 2*l**2/9 - 8*l - 2 = 0?
-3, -1/4, 3
Find y, given that -2*y**2/7 - 1152*y/7 - 165888/7 = 0.
-288
Factor -2*h**3/17 - 16*h**2/17 + 18*h/17.
-2*h*(h - 1)*(h + 9)/17
Suppose 5*c**3 - 240*c**2 + 235*c = 0. Calculate c.
0, 1, 47
Find z such that 3*z**5 + 6*z**4 - 24*z**3 - 48*z**2 + 48*z + 96 = 0.
-2, 2
Factor -4*v**3/3 + 29*v**2 + 427*v/3 + 130.
-(v - 26)*(v + 3)*(4*v + 5)/3
Let -3*j**3 + 3984*j**2 - 7959*j + 3978 = 0. What is j?
1, 1326
Factor g**3/7 - g**2/7 - 8*g/7 + 12/7.
(g - 2)**2*(g + 3)/7
Solve -4*f**4 + 20*f**3 - 20*f**2 - 20*f + 24 = 0.
-1, 1, 2, 3
Solve 3*d**2/4 + 27*d/4 - 15/2 = 0 for d.
-10, 1
Find n, given that 2*n**2 + 64*n - 66 = 0.
-33, 1
Factor -3*l**4 - 15*l**3 + 18*l**2.
-3*l**2*(l - 1)*(l + 6)
Determine d, given that 70*d**3 + 415*d**2 - 3880*d + 275 = 0.
-11, 1/14, 5
Suppose 205*f**4/4 - 1035*f**3/4 - 1115*f**2 - 765*f + 40 = 0. What is f?
-2, -1, 2/41, 8
Factor 2*x**2 + 12*x + 10.
2*(x + 1)*(x + 5)
Find m such that 2*m**4 - 8*m**3 - 34*m**2 + 120*m = 0.
-4, 0, 3, 5
Suppose 303*q**4/4 + 456*q**3 + 918*q**2 + 624*q + 12 = 0. What is q?
-2, -2/101
Factor -5*k**5 + 30*k**4 - 40*k**3 - 80*k**2 + 240*k - 160.
-5*(k - 2)**4*(k + 2)
Factor -5*c**2 - 330*c + 4235.
-5*(c - 11)*(c + 77)
Solve t**2 + 106*t - 107 = 0 for t.
-107, 1
What is d in -d**4 + 40*d**3 + d**2 - 40*d = 0?
-1, 0, 1, 40
Factor -29*w**2/3 - 113*w/6 + 1.
-(w + 2)*(58*w - 3)/6
Factor -r**4 - 3*r**3 - 2*r**2.
-r**2*(r + 1)*(r + 2)
Factor -542*f**2/3 + 4*f/3.
-2*f*(271*f - 2)/3
Factor 3*d**3 - 969*d**2 + 1926*d.
3*d*(d - 321)*(d - 2)
Solve 4*k**5/3 + 104*k**4/3 + 188*k**3 - 1456*k**2/3 + 784*k/3 = 0.
-14, 0, 1
Solve 2*t**5 - 76*t**4 - 400*t**3 + 34144*t**2 - 27104*t - 4174016 = 0.
-14, 22
What is w in -4*w**4/5 + 28*w**3/5 + 24*w**2 + 16*w/5 - 32 = 0?
-2, 1, 10
Factor -u**2/6 - 11*u/6 - 3.
-(u + 2)*(u + 9)/6
Find m such that -4*m**5 - 8*m**4 + 8*m**3 + 16*m**2 - 4*m - 8 = 0.
-2, -1, 1
Find m such that 3*m**4 + 3*m**3 - 6*m**2 = 0.
-2, 0, 1
Factor u**4 + 14*u**3 - 67*u**2 + 88*u - 36.
(u - 2)*(u - 1)**2*(u + 18)
Factor -m**3/8 + 123*m**2/8 - 5043*m/8 + 68921/8.
-(m - 41)**3/8
Solve 30*n**4 - 27*n**3 - 39*n**2 + 18*n = 0.
-1, 0, 2/5, 3/2
Determine k so that 2*k**4/9 + 82*k**3/9 - 28*k**2/3 = 0.
-42, 0, 1
What is z in 3*z**5 - 3*z**4 - 15*z**3 + 15*z**2 + 12*z - 12 = 0?
-2, -1, 1, 2
Factor -4*o**2 - 2648*o + 10656.
-4*(o - 4)*(o + 666)
Factor 2*p**3/15 + 32*p**2/3 + 3626*p/15 + 5476/5.
2*(p + 6)*(p + 37)**2/15
Factor 2*g**2/9 + 130*g/9 - 44/3.
2*(g - 1)*(g + 66)/9
Factor 2*w**3/5 - 46*w**2/5 + 86*w/5 - 42/5.
2*(w - 21)*(w - 1)**2/5
Factor -18*z**2/7 - 22*z/7 - 4/7.
-2*(z + 1)*(9*z + 2)/7
Factor -8*z**2 - 276*z - 520.
-4*(z + 2)*(2*z + 65)
Factor -38*w**2/21 + 878*w/21 - 40.
-2*(w - 1)*(19*w - 420)/21
Suppose 5*d**4 - 215*d**3 + 1965*d**2 + 7475*d + 5290 = 0. What is d?
-2, -1, 23
Factor 2*r**4/7 - 10*r**3/7 + 2*r**2 - 6*r/7.
2*r*(r - 3)*(r - 1)**2/7
Factor 2*w**5/9 - 4*w**4/9 + 4*w**2/9 - 2*w/9.
2*w*(w - 1)**3*(w + 1)/9
Solve -m**4/4 + m**3/4 + m**2/2 = 0 for m.
-1, 0, 2
Factor -4*s**4 + 36*s**3 - 24*s**2 - 64*s.
-4*s*(s - 8)*(s - 2)*(s + 1)
Factor -2*m**2 + 15472*m - 29922848.
-2*(m - 3868)**2
Factor -5*d**2 + 705*d - 13570.
-5*(d - 118)*(d - 23)
Factor 5*z**2/2 + 35*z/2.
5*z*(z + 7)/2
Find n, given that n**4/8 - 7*n**3/8 - 5*n**2 - 11*n/2 = 0.
-2, 0, 11
Find w, given that -9*w**5 + 18*w**4 + 49*w**3 - 62*w**2 - 20*w + 24 = 0.
-2, -2/3, 2/3, 1, 3
Suppose -12*c**4 + 28*c**3 + 32*c**2 - 112*c + 64 = 0. What is c?
-2, 1, 4/3, 2
Factor -5*l**3 + 22*l**2 + 17*l - 10.
-(l - 5)*(l + 1)*(5*l - 2)
Factor -5*u**4 - 40*u**3 - 115*u**2 - 140*u - 60.
-5*(u + 1)*(u + 2)**2*(u + 3)
Factor 2*c**4/5 - 8*c**3 + 118*c**2/5 + 32*c.
2*c*(c - 16)*(c - 5)*(c + 1)/5
Determine x so that -x**2/2 - 4*x - 6 = 0.
-6, -2
Factor a**2 - 358*a + 1065.
(a - 355)*(a - 3)
Factor b**2 - 9*b - 36.
(b - 12)*(b + 3)
Factor -2*t**2/9 + 4592*t/9 + 4594/9.
-2*(t - 2297)*(t + 1)/9
Solve 6*u**2 + 848*u - 568 = 0.
-142, 2/3
Let 4*g**4 - 128*g**3 + 1504*g**2 - 7680*g + 14400 = 0. Calculate g.
6, 10
Factor -f**3/2 + 1017*f**2 + 2035*f/2.
-f*(f - 2035)*(f + 1)/2
Factor j**2/2 + 841*j + 1681/2.
(j + 1)*(j + 1681)/2
Factor -2*c**4 - 2954*c**3 - 2952*c**2.
-2*c**2*(c + 1)*(c + 1476)
Find q such that -q**2/5 + 41*q/5 - 36 = 0.
5, 36
Factor -4*d**2 - 384*d + 1188.
-4*(d - 3)*(d + 99)
Determine g so that -5*g**5 - 5*g**4 + 25*g**3 + 5*g**2 - 40*g + 20 = 0.
-2, 1
Factor -2*y**2 - 19412*y - 47103218.
-2*(y + 4853)**2
Let -g**2/5 + 96*g/5 - 19 = 0. What is g?
1, 95
Factor 3*l**5 + 129*l**4 + 126*l**3.
3*l**3*(l + 1)*(l + 42)
Factor 3*a**2 - 366*a + 11163.
3*(a - 61)**2
Factor 2*j**4/3 - 14*j**3/3 - 20*j**2/3 + 32*j/3.
2*j*(j - 8)*(j - 1)*(j + 2)/3
Factor -2*z**2/11 + 54*z/11 + 116/11.
-2*(z - 29)*(z + 2)/11
Solve -3*q**5/7 + 9*q**4/7 + 3*q**3/7 - 3*q**2 + 12/7 = 0.
-1, 1, 2
Solve -16*f**3/5 + 136*f**2/5 - 177*f/5 + 63/5 = 0 for f.
3/4, 7
Solve -2*a**3/5 - 76*a**2/5 - 722*a/5 = 0 for a.
-19, 0
Let l**5 - 8*l**4 + 12*l**3 + 32*l**2 - 64*l = 0. What is l?
-2, 0, 2, 4
Factor -3*w**3/8 - 69*w**2/8 - 66*w - 168.
-3*(w + 7)*(w + 8)**2/8
Find k, given that -5*k**5 - 65*k**4 - 90*k**3 + 800*k**2 - 640*k = 0.
-8, 0, 1, 2
Find v, given that -4*v**4 + 16*v**3 - 12*v**2 = 0.
0, 1, 3
Find j, given that j**3 - 4334*j**2 + 4695889*j = 0.
0, 2167
Factor 141*o**3 + 981*o**2 + 1650*o - 72.
3*(o + 3)*(o + 4)*(47*o - 2)
Suppose 5*t**3 - 525*t**2 - 1610*t - 1080 = 0. What is t?
-2, -1, 108
Determine g so that -3*g**2/4 + 801*g/4 + 201 = 0.
-1, 268
Solve h**4 + 57*h**3 - 780*h**2 + 3248*h - 4416 = 0 for h.
-69, 4
Solve 2*g**5/3 - 82*g**4/9 + 298*g**3/9 - 446*g**2/9 + 296*g/9 - 8 = 0 for g.
2/3, 1, 2, 9
Suppose h**3/4 + 189*h**2/4 + 91*h/2 - 282 = 0. Calculate h.
-188, -3, 2
Factor -2*k**2/3 - 3*k/2 + 3/2.
-(k + 3)*(4*k - 3)/6
What is z in 2*z**4/7 + 160*z**3/7 + 1674*z**2/7 + 2876*z/7 + 1360/7 = 0?
-68, -10, -1
Find u, given that 4*u**2 + 932*u = 0.
-233, 0
Let y**2/4 - 1063*y/4 = 0. Calculate y.
0, 1063
Factor -44*w**3 + 135*w**2 - 7*w - 6.
-(w - 3)*(4*w - 1)*(11*w + 2)
Solve 2*c**2/7 - 4*c/7 - 6/7 = 0 for c.
-1, 3
Factor -b**3/3 + 94*b**2 + 189*b + 284/3.
-(b - 284)*(b + 1)**2/3
Find g such that -g**2/12 - 553*g/6 - 1105/12 = 0.
-1105, -1
Factor 7*x**3 - 61*x**2 + 80*x + 28.
(x - 7)*(x - 2)*(7*x + 2)
Find a such that -5*a**2 - 255*a + 1400 = 0.
-56, 5
Find k such that k**2 - 181*k - 182 = 0.
-1, 182
Find p such that 2*p**4/7 - 10*p**3/7 - 2*p**2/7 + 10*p/7 = 0.
-1, 0, 1, 5
Factor y**3/5 - 59*y**2/5 + 215*y - 1125.
(y - 25)**2*(y - 9)/5
Solve -3*u**4 - 6*u**3 + 75*u**2 + 6*u - 72 = 0 for u.
-6, -1, 1, 4
Factor k**4 - 14*k**3 + 13*k**2.
k**2*(k - 13)*(k - 1)
Solve -5*z**2/3 + 120*z + 740/3 = 0 for z.
-2, 74
Factor 5*g**3 - 10*g**2 - 15*g.
5*g*(g - 3)*(g + 1)
Determine s, given that s**5/3 + 23*s**4/3 - 26*s**3/3 - 16*s**2 = 0.
-24, -1, 0, 2
What is t in -t**4/8 + 329*t**3/8 - 13611*t**2/4 + 3280*t + 6724 = 0?
-1, 2, 164
F