)/3
Determine h, given that 5*h**4/4 - 235*h**3/4 + 3285*h**2/4 - 12285*h/4 + 6615/2 = 0.
2, 3, 21
Factor -4*h**2 - 72*h - 128.
-4*(h + 2)*(h + 16)
Factor -p**2 - 497*p - 496.
-(p + 1)*(p + 496)
Determine h so that -3*h**3/5 + 33*h**2/5 - 117*h/5 + 27 = 0.
3, 5
Factor 98*z**3 - 840*z**2 + 456*z - 64.
2*(z - 8)*(7*z - 2)**2
Solve -o**2 - 98*o - 2401 = 0 for o.
-49
Factor 225*f**3 + 265*f**2 + 20*f - 20.
5*(f + 1)*(5*f + 2)*(9*f - 2)
Factor 3*u**3 - 264*u**2 - 1965*u - 2850.
3*(u - 95)*(u + 2)*(u + 5)
Factor 2*i**2/7 - 64*i/7 + 512/7.
2*(i - 16)**2/7
Factor -u**5 + 3*u**4 + 17*u**3 - 27*u**2 - 88*u - 48.
-(u - 4)**2*(u + 1)**2*(u + 3)
Factor -j**3/3 + 115*j**2 - 13225*j + 1520875/3.
-(j - 115)**3/3
Determine c so that 3*c**3/7 - 129*c**2/7 + 732*c/7 + 864/7 = 0.
-1, 8, 36
Determine i, given that -2*i**4/3 - 76*i**3/3 - 1042*i**2/3 - 6176*i/3 - 4480 = 0.
-15, -8, -7
Determine z so that -5*z**4 - 30*z**3 - 45*z**2 - 20*z = 0.
-4, -1, 0
Suppose -5*t**5/7 - 38*t**4/7 + 781*t**3/7 - 378*t**2 + 2556*t/7 - 648/7 = 0. Calculate t.
-18, 2/5, 1, 3, 6
Factor 4*v**5 - 24*v**4 + 4*v**3 + 96*v**2 + 64*v.
4*v*(v - 4)**2*(v + 1)**2
What is s in 2*s**4 + 28*s**3 - 182*s**2 + 152*s = 0?
-19, 0, 1, 4
Factor -5*b**3 - 10*b**2 - 5*b.
-5*b*(b + 1)**2
Solve -5*t**4 + 410*t**3 + 3975*t**2 + 10820*t + 9100 = 0 for t.
-5, -2, 91
Factor -m**3/2 - 92*m**2 - 4730*m - 44376.
-(m + 12)*(m + 86)**2/2
Determine m, given that m**5/3 + 5*m**4/3 + m**3 - 5*m**2/3 - 4*m/3 = 0.
-4, -1, 0, 1
Suppose 2*b**5/3 + 8*b**4/3 + 4*b**3 + 8*b**2/3 + 2*b/3 = 0. Calculate b.
-1, 0
Factor 3*l**3 + 717*l**2 - 7395*l + 18675.
3*(l - 5)**2*(l + 249)
Determine j, given that -6*j**3 - 26*j**2 - 8*j = 0.
-4, -1/3, 0
Factor 44*u**3 - 160*u**2 - 64*u.
4*u*(u - 4)*(11*u + 4)
Factor -4*a**2 + 76*a - 72.
-4*(a - 18)*(a - 1)
Let -u**3/7 - 73*u**2/7 - 143*u/7 - 71/7 = 0. What is u?
-71, -1
Factor -n**2/4 - 5*n/4 + 33/2.
-(n - 6)*(n + 11)/4
Factor -4*g**3 + 28*g**2 - 56*g + 32.
-4*(g - 4)*(g - 2)*(g - 1)
Determine v so that -2*v**3/3 + 26*v**2/3 - 64*v/3 + 40/3 = 0.
1, 2, 10
Factor 2*h**4/5 + 64*h**3/5 + 192*h**2/5 - 1024*h + 2560.
2*(h - 4)**2*(h + 20)**2/5
Factor -3*v**3/5 + 282*v**2/5 - 6627*v/5.
-3*v*(v - 47)**2/5
Factor b**4 + 73*b**3 + 279*b**2 + 207*b.
b*(b + 1)*(b + 3)*(b + 69)
Let -4*q**2/7 + 608*q - 161728 = 0. Calculate q.
532
Suppose -q**5 - 17*q**4 - 105*q**3 - 283*q**2 - 314*q - 120 = 0. What is q?
-6, -5, -4, -1
Let -q**4/2 - 3*q**3 - 5*q**2/2 + 6*q = 0. What is q?
-4, -3, 0, 1
Factor 3*h**3 + 96*h**2.
3*h**2*(h + 32)
What is b in -2*b**5/17 + 262*b**4/17 - 13526*b**3/17 + 344106*b**2/17 - 254016*b + 1259496 = 0?
21, 34
Find w, given that 2*w**5 - 10*w**4 - 6*w**3 + 26*w**2 + 20*w = 0.
-1, 0, 2, 5
Find y, given that 2*y**5/11 - 6*y**3/11 - 4*y**2/11 = 0.
-1, 0, 2
Find j, given that -12*j**3/5 + 2421*j**2/5 - 121806*j/5 - 30603/5 = 0.
-1/4, 101
Factor b**3/11 - 2747*b**2/11 - 5497*b/11 - 2749/11.
(b - 2749)*(b + 1)**2/11
Let c**2 + 35*c + 96 = 0. What is c?
-32, -3
Let -2*r**2/3 + 214*r/3 + 1120/3 = 0. Calculate r.
-5, 112
Find z such that -z**4/4 + 27*z**3/4 - 195*z**2/4 + 169*z/4 = 0.
0, 1, 13
Factor 2*f**2/7 - 2316*f/7 + 670482/7.
2*(f - 579)**2/7
Factor -10609*q**2/11 + 412*q/11 - 4/11.
-(103*q - 2)**2/11
Factor 4*g**2 + 4*g - 528.
4*(g - 11)*(g + 12)
Factor -2*w**3 - 246*w**2 + 3738*w - 13426.
-2*(w - 7)**2*(w + 137)
Determine u so that -4*u**3/5 + 64*u**2/5 + 528*u/5 = 0.
-6, 0, 22
What is q in -2*q**5/9 + 28*q**4/9 + 14*q**3/9 - 208*q**2/9 + 56*q/3 = 0?
-3, 0, 1, 2, 14
Suppose 5*n**4 + 40*n**3 - 290*n**2 + 440*n - 195 = 0. What is n?
-13, 1, 3
Factor 7*x**3 + 23*x**2 + 6*x.
x*(x + 3)*(7*x + 2)
Find r, given that -r**4 + 9*r**3 - 26*r**2 + 24*r = 0.
0, 2, 3, 4
Factor 20*w**4 + 275*w**3 + 190*w**2 - 65*w.
5*w*(w + 1)*(w + 13)*(4*w - 1)
Factor -2*r**3/3 - 414*r**2 - 85698*r - 5913162.
-2*(r + 207)**3/3
Factor 2*a**3/9 + 8*a**2/9 + 10*a/9 + 4/9.
2*(a + 1)**2*(a + 2)/9
Factor 2*q**3 - 260*q**2 + 1016*q - 1008.
2*(q - 126)*(q - 2)**2
Suppose 18*r**5/5 + 6*r**4 + 14*r**3/5 + 2*r**2/5 = 0. What is r?
-1, -1/3, 0
What is u in 2*u**3/21 - 4*u**2/7 - 6*u/7 + 36/7 = 0?
-3, 3, 6
Factor -3*c**3/5 - 3*c**2 - 21*c/5 - 9/5.
-3*(c + 1)**2*(c + 3)/5
Factor -s**4 + 9*s**3 - 26*s**2 + 24*s.
-s*(s - 4)*(s - 3)*(s - 2)
Suppose k**3 + 37*k**2/5 + 56*k/5 - 48/5 = 0. What is k?
-4, 3/5
Factor 2*i**3/9 - 118*i**2/9 + 1076*i/9 - 320/3.
2*(i - 48)*(i - 10)*(i - 1)/9
Determine j so that 2*j**3/3 - 124*j**2/3 + 358*j/3 - 236/3 = 0.
1, 2, 59
Find f, given that -2*f**4/13 - 30*f**3/13 - 88*f**2/13 = 0.
-11, -4, 0
Suppose -244*n**5 - 284*n**4 + 204*n**3 + 284*n**2 + 40*n = 0. Calculate n.
-1, -10/61, 0, 1
Factor 4*q**4 + 880*q**3 + 50128*q**2 + 190080*q + 186624.
4*(q + 2)**2*(q + 108)**2
Solve -3*t**3/2 + 12*t**2 + 225*t/2 + 189 = 0.
-3, 14
Factor -z**2/6 + 65*z + 392/3.
-(z - 392)*(z + 2)/6
What is v in v**4/4 - 9*v**3/4 + 2*v**2 = 0?
0, 1, 8
Factor -2*p**4/3 - 6*p**3 + 14*p**2 - 22*p/3.
-2*p*(p - 1)**2*(p + 11)/3
Determine g, given that -6*g**3/7 + 72*g**2/7 - 66*g/7 = 0.
0, 1, 11
Find i, given that -2*i**5/9 - 8*i**4/9 + 136*i**3/9 - 212*i**2/9 - 134*i/9 + 220/9 = 0.
-11, -1, 1, 2, 5
Factor w**4 - 10*w**3 + 13*w**2 + 60*w + 36.
(w - 6)**2*(w + 1)**2
Find n such that -7*n**2 + 117*n + 34 = 0.
-2/7, 17
Factor -b**2/3 - 77*b - 230/3.
-(b + 1)*(b + 230)/3
Determine g, given that -2*g**3/15 + 16*g**2 + 494*g/15 - 244/5 = 0.
-3, 1, 122
Factor 5*f**3 + 55*f**2 - 60*f.
5*f*(f - 1)*(f + 12)
Factor -2*j**3 + 2*j**2 + 12*j.
-2*j*(j - 3)*(j + 2)
Let 2*o**3/7 - 4*o**2/7 - 10*o = 0. Calculate o.
-5, 0, 7
Suppose r**5 + 65*r**4/4 + r**3 - 203*r**2/4 - 89*r/2 - 8 = 0. What is r?
-16, -1, -1/4, 2
Suppose -5*d**5 + 5*d**4 + 60*d**3 - 140*d**2 + 80*d = 0. What is d?
-4, 0, 1, 2
Let 2*d**4 - 70*d**2 + 180*d - 112 = 0. What is d?
-7, 1, 2, 4
Determine k so that -5*k**3 + 950*k**2 - 38125*k + 437500 = 0.
25, 140
Solve 5*z**5 + 5*z**4 - 40*z**3 - 60*z**2 = 0 for z.
-2, 0, 3
Determine p, given that -2*p**5 - 332*p**4 - 976*p**3 + 332*p**2 + 978*p = 0.
-163, -3, -1, 0, 1
Factor o**2/2 + 284*o + 1128.
(o + 4)*(o + 564)/2
Suppose -d**3/2 + 77*d**2/2 + 157*d/2 + 79/2 = 0. Calculate d.
-1, 79
Factor -s**3/12 - 3*s**2 - 65*s/12 + 17/2.
-(s - 1)*(s + 3)*(s + 34)/12
Find h such that -33*h**2/2 - 15*h/2 = 0.
-5/11, 0
Factor -f**5 + 195*f**4 - 12675*f**3 + 274625*f**2.
-f**2*(f - 65)**3
Solve 20*i**3 + 712*i**2 + 6192*i - 2592 = 0.
-18, 2/5
Find p such that -2*p**5 - 2*p**4 = 0.
-1, 0
Factor -2*j**4 + 8920*j**3 - 14918700*j**2 + 11089567000*j - 3091216801250.
-2*(j - 1115)**4
Factor -5*g**2 + 115*g + 120.
-5*(g - 24)*(g + 1)
Solve 4*m**2 + 44*m + 72 = 0 for m.
-9, -2
Find i such that i**2/3 - 7*i/3 - 44/3 = 0.
-4, 11
Factor -2*s**3 - 104*s**2.
-2*s**2*(s + 52)
Factor -q**3 + 9*q**2 - 18*q.
-q*(q - 6)*(q - 3)
Solve -2*m**2 + 564*m = 0.
0, 282
Factor d**5/5 + 19*d**4/5 + 78*d**3/5.
d**3*(d + 6)*(d + 13)/5
What is v in -3*v**4/2 - 63*v**3 + 831*v**2/2 - 783*v + 432 = 0?
-48, 1, 2, 3
Let -h**5/2 + 41*h**4/2 + h**3 - 41*h**2 - h/2 + 41/2 = 0. Calculate h.
-1, 1, 41
Factor -3*b**3/2 - 165*b**2/2 - 228*b + 312.
-3*(b - 1)*(b + 4)*(b + 52)/2
Factor -5*v**5 - 5*v**4 + 40*v**3 + 60*v**2.
-5*v**2*(v - 3)*(v + 2)**2
Factor 3*g**4/8 - 27*g**3/8 - 9*g**2/8 + 87*g/8 - 27/4.
3*(g - 9)*(g - 1)**2*(g + 2)/8
Factor 5*t**4 - 85*t**3 + 115*t**2 + 505*t + 300.
5*(t - 15)*(t - 4)*(t + 1)**2
Factor 3*h**2 + 93*h.
3*h*(h + 31)
Let -3*j**2/4 - 177*j/4 + 45 = 0. Calculate j.
-60, 1
Factor 3*s**4 - 141*s**3 + 810*s**2 + 22848*s - 23520.
3*(s - 28)**2*(s - 1)*(s + 10)
Let y**2/3 - 5*y + 14/3 = 0. What is y?
1, 14
Factor -k**3/4 - 3*k**2/2 + 15*k/4 - 2.
-(k - 1)**2*(k + 8)/4
Factor -3*z**5 + 12*z**4 - 42*z**2 + 51*z - 18.
-3*(z - 3)*(z - 1)**3*(z + 2)
Solve -2*d**3/11 - 26*d**2/11 - 10*d - 150/11 = 0 for d.
-5, -3
Factor u**3/7 + 12*u**2/7 - 27*u/7 + 2.
(u - 1)**2*(u + 14)/7
Let 3*n**5 - 57*n**4/2 + 72*n**3 - 105*n**2/2 - 12*n + 18 = 0. Calculate n.
-1/2, 1, 2, 6
Let 4*h**2/5 + 72*h + 1376/5 = 0. Calculate h.
-86, -4
Let -5*u**3/2 + 25*u**2/2 - 10*u = 0. Calculate u.
0, 1, 4
Factor -5*w**4 - 5*w**3 + 135*w**2 + 405*w + 270.
-5*(w - 6)*(w + 1)*(w + 3)**2
Find g such that -2*g**2/9 + 86*g/9 - 28/3 = 0.
1, 42
Let 5*r**2/3 - 190*r/3 + 120 = 0. What is r?
2, 36
Factor -2*l**3 + 48