22, 22
Factor 3*n**2 - 174*n + 495.
3*(n - 55)*(n - 3)
Factor -2*t**4 + 30*t**3 + 66*t**2 + 34*t.
-2*t*(t - 17)*(t + 1)**2
Find u, given that -32*u**3/11 + 2224*u**2/11 - 1106*u/11 + 138/11 = 0.
1/4, 69
Factor -3*n**3 + 102*n**2 + 123*n - 630.
-3*(n - 35)*(n - 2)*(n + 3)
Factor g**3/4 - 7*g**2/4 + 4*g - 3.
(g - 3)*(g - 2)**2/4
Suppose 6*a**4 + 254*a**3 - 706*a**2 + 626*a - 180 = 0. Calculate a.
-45, 2/3, 1
Factor -f**2/5 - 21*f/5 - 18.
-(f + 6)*(f + 15)/5
Factor -x**4/3 + 2*x**3/3 + 23*x**2/3 - 20*x.
-x*(x - 4)*(x - 3)*(x + 5)/3
Solve -2*t**5 - 30*t**4 - 50*t**3 + 30*t**2 + 52*t = 0 for t.
-13, -2, -1, 0, 1
Factor -25*n**4 + 240*n**3 - 525*n**2 - 250*n.
-5*n*(n - 5)**2*(5*n + 2)
Find w, given that 2*w**2 - 204*w + 5202 = 0.
51
Suppose -m**5/6 + 7*m**4/6 + m**3/2 - 19*m**2/6 - 7*m/3 = 0. Calculate m.
-1, 0, 2, 7
Find q, given that 4*q**5 - 956*q**4 + 57592*q**3 - 55688*q**2 - 57596*q + 56644 = 0.
-1, 1, 119
Factor n**2/3 - 13*n/3 + 4.
(n - 12)*(n - 1)/3
Factor n**2/2 + 1033*n/2 - 517.
(n - 1)*(n + 1034)/2
Solve -9*j**4/4 - 129*j**3/4 - 333*j**2/4 - 315*j/4 - 51/2 = 0.
-34/3, -1
Find o such that -8*o**5 + 14*o**4 - 4*o**3 - 2*o**2 = 0.
-1/4, 0, 1
Factor 3645*h**2/2 - 1350*h + 250.
5*(27*h - 10)**2/2
Find j such that 15*j**4 + 220*j**3 - 90*j**2 - 220*j + 75 = 0.
-15, -1, 1/3, 1
Determine o, given that -2*o**5/3 - 12*o**4 + 44*o**3/3 + 104*o**2/3 - 62*o + 76/3 = 0.
-19, -2, 1
Suppose m**4/5 - 2*m**3/5 - 11*m**2/5 + 12*m/5 = 0. Calculate m.
-3, 0, 1, 4
Suppose -4*i**5 - 60*i**4 - 188*i**3 - 132*i**2 = 0. Calculate i.
-11, -3, -1, 0
Find t, given that 2*t**3 - 10*t**2 - 16*t + 24 = 0.
-2, 1, 6
Find x, given that -3*x**5/2 + 3*x**4 + 18*x**3 - 27*x**2 - 81*x/2 = 0.
-3, -1, 0, 3
Factor 15*p**3 + 175*p**2 + 110*p.
5*p*(p + 11)*(3*p + 2)
Factor 4*b**4 - 12*b**3 - 28*b**2 + 60*b + 72.
4*(b - 3)**2*(b + 1)*(b + 2)
Find s, given that 3*s**2 - 8574*s = 0.
0, 2858
Factor -n**2 + 4338*n - 4704561.
-(n - 2169)**2
Suppose -3*y**3 - 138*y**2 - 1539*y = 0. What is y?
-27, -19, 0
Suppose -2*r**2/13 - 134*r/13 - 1932/13 = 0. Calculate r.
-46, -21
Factor s**4/8 - 3*s**3/4 + 9*s**2/8 - s/2.
s*(s - 4)*(s - 1)**2/8
Suppose 2*g**5/5 - 24*g**4/5 + 88*g**3/5 - 76*g**2/5 - 18*g + 20 = 0. Calculate g.
-1, 1, 2, 5
Determine d, given that -2*d**2 - 94*d + 408 = 0.
-51, 4
Solve 5*g**4/4 + 7*g**3 - 23*g**2 + 8*g = 0 for g.
-8, 0, 2/5, 2
Factor 3*w**2/2 + 507*w + 85683/2.
3*(w + 169)**2/2
Solve -3*l**2/5 - 687*l/5 + 138 = 0.
-230, 1
Factor -2*d**3/7 + 516*d**2/7 - 30552*d/7 - 359120/7.
-2*(d - 134)**2*(d + 10)/7
Factor 20*x**3 + 25*x**2 - 215*x + 170.
5*(x - 2)*(x - 1)*(4*x + 17)
Factor -2*b**2/9 + 382*b/9 - 380/9.
-2*(b - 190)*(b - 1)/9
Suppose 8*v**3 - 14*v**2 - 10*v + 12 = 0. What is v?
-1, 3/4, 2
Find v such that 20*v**4/3 - 45*v**3 + 245*v**2/3 - 30*v - 40/3 = 0.
-1/4, 1, 2, 4
Factor -j**2/4 - 523*j/4 - 519.
-(j + 4)*(j + 519)/4
Let -2*z**4/17 - 2174*z**3/17 + 6534*z**2/17 - 6538*z/17 + 2180/17 = 0. What is z?
-1090, 1
Factor a**3 - 4530*a**2 + 5134752*a - 10251392.
(a - 2264)**2*(a - 2)
Suppose -g**2/6 + g/6 = 0. What is g?
0, 1
Determine a so that 75*a**4 + 45*a**3 + 9*a**2 + 3*a/5 = 0.
-1/5, 0
Determine v so that 3*v**4 - 27*v**3 + 57*v**2 + 27*v - 60 = 0.
-1, 1, 4, 5
Factor 4*b**4 - 76*b**3 + 201*b**2 - 146*b + 32.
(b - 16)*(b - 2)*(2*b - 1)**2
Factor 2*z**2/7 - 8*z - 58/7.
2*(z - 29)*(z + 1)/7
Find n, given that 4*n**5 - 20*n**4 + 8*n**3 + 56*n**2 - 12*n - 36 = 0.
-1, 1, 3
Determine h so that -2*h**5 + 176*h**4/9 - 266*h**3/9 + 76*h**2/9 + 32*h/9 = 0.
-2/9, 0, 1, 8
Suppose 4*y**3 + 5044*y**2 - 10104*y = 0. What is y?
-1263, 0, 2
Factor 5*j**2 + 3080*j + 474320.
5*(j + 308)**2
Let 2*m**5/11 + 16*m**4/11 - 100*m**3/11 - 296*m**2/11 + 818*m/11 - 40 = 0. Calculate m.
-11, -4, 1, 5
Factor 2*l**4/5 + 2*l**3/5 - 12*l**2/5 - 8*l/5 + 16/5.
2*(l - 2)*(l - 1)*(l + 2)**2/5
Factor -4*d**3/7 + 40*d**2/7 + 92*d/7 + 48/7.
-4*(d - 12)*(d + 1)**2/7
Factor 2*g**2 + 1700*g + 361250.
2*(g + 425)**2
Determine p so that -2*p**5 - 152*p**4 - 3036*p**3 - 5624*p**2 - 2738*p = 0.
-37, -1, 0
Find k, given that k**4/8 - k**3/8 - 5*k**2/8 - 3*k/8 = 0.
-1, 0, 3
Factor -c**4/10 - 37*c**3.
-c**3*(c + 370)/10
Factor r**3/3 - 2*r**2/3 - 41*r/3 + 14.
(r - 7)*(r - 1)*(r + 6)/3
Let -2*z**2 + 72*z = 0. What is z?
0, 36
What is n in -5*n**4/2 + 117*n**3/2 + 198*n**2 + 10*n - 264 = 0?
-2, 1, 132/5
Factor 12*d**3 - 4496*d**2 + 422620*d - 279752.
4*(d - 187)**2*(3*d - 2)
Determine m, given that 4*m**5 + 96*m**4 + 80*m**3 - 296*m**2 - 468*m - 184 = 0.
-23, -1, 2
What is k in 2*k**4/7 - 94*k**3/7 - 6*k**2/7 + 278*k/7 + 188/7 = 0?
-1, 2, 47
Suppose -3*h**2/2 - 114*h - 657/2 = 0. What is h?
-73, -3
Solve 5*b**3 + 170*b**2 + 1260*b - 3240 = 0 for b.
-18, 2
Let 4*b**3/9 - 36*b = 0. What is b?
-9, 0, 9
Suppose -r**5/5 + 6*r**4/5 - 8*r**3/5 - 16*r**2/5 + 48*r/5 - 32/5 = 0. Calculate r.
-2, 2
Factor -2*t**5/19 - 12*t**4/19 - 2*t**3/19 + 48*t**2/19 - 32*t/19.
-2*t*(t - 1)**2*(t + 4)**2/19
Factor z**3 - 158*z**2 + 6241*z.
z*(z - 79)**2
Determine v, given that 20*v**5/13 - 102*v**4/13 - 80*v**3/13 + 996*v**2/13 - 900*v/13 - 54 = 0.
-3, -1/2, 13/5, 3
Find r, given that -15*r**3/7 + 486*r**2/7 - 192*r/7 = 0.
0, 2/5, 32
Let -14*n**5/9 - 1466*n**4/9 - 2422*n**3/9 + 5138*n**2/9 - 412*n/3 = 0. What is n?
-103, -3, 0, 2/7, 1
Suppose x**4/4 + 9*x**3/4 - 21*x**2/4 + 11*x/4 = 0. What is x?
-11, 0, 1
Factor j**5 - 11*j**4 + 24*j**3 + 36*j**2.
j**2*(j - 6)**2*(j + 1)
Find r, given that -4*r**2 + 16*r + 48 = 0.
-2, 6
Factor -g**2/5 + g + 14/5.
-(g - 7)*(g + 2)/5
Solve j**4/2 + j**3/6 - j**2/3 = 0 for j.
-1, 0, 2/3
Determine d, given that d**3/4 - 83*d**2/4 - 169*d/4 - 85/4 = 0.
-1, 85
Suppose n**3 - 17*n**2 - 38*n = 0. Calculate n.
-2, 0, 19
Let 5*k**4/4 + 15*k**3/4 - 225*k**2/4 + 405*k/4 = 0. Calculate k.
-9, 0, 3
Let -s**5 - 7*s**4 - 7*s**3 + 19*s**2 + 16*s - 20 = 0. What is s?
-5, -2, 1
Let -2*c**2/11 - 178*c/11 + 180/11 = 0. Calculate c.
-90, 1
Suppose -w**3 - 1086*w**2 = 0. Calculate w.
-1086, 0
Suppose -v**2/6 - 83*v/6 + 85/3 = 0. Calculate v.
-85, 2
Solve -15*z**4/4 + 149*z**3/8 + 181*z**2/8 + 15*z/4 = 0.
-5/6, -1/5, 0, 6
Determine y so that 35*y**3 + 1089*y**2 + 120*y - 124 = 0.
-31, -2/5, 2/7
Factor 5*x**3 - 60*x**2.
5*x**2*(x - 12)
Determine v, given that 2*v**5 + 2*v**4 - 20*v**3 + 16*v**2 = 0.
-4, 0, 1, 2
Solve 25*g**5 - 170*g**4 + 249*g**3 - 124*g**2 + 20*g = 0 for g.
0, 2/5, 1, 5
Factor 4*p**4 - 104*p**3 + 368*p**2 - 352*p.
4*p*(p - 22)*(p - 2)**2
Suppose -4*y**2 - 23144*y - 33477796 = 0. Calculate y.
-2893
Solve -4*x**5 - 97*x**4/3 + 865*x**3/3 - 1730*x**2/3 + 1052*x/3 - 56 = 0.
-14, 1/4, 2/3, 2, 3
Factor -5*t**4 + 40*t**3 - 95*t**2 + 60*t.
-5*t*(t - 4)*(t - 3)*(t - 1)
Solve -2*j**4/3 - 58*j**3/9 - 34*j**2/9 + 2*j = 0.
-9, -1, 0, 1/3
Factor -5*n**4 + 160*n**2 - 1280.
-5*(n - 4)**2*(n + 4)**2
Determine f so that 9*f**2 - 6*f - 3 = 0.
-1/3, 1
Factor w**2 - 1698*w + 720801.
(w - 849)**2
What is x in 5*x**4 + 45*x**3 + 65*x**2 - 45*x - 70 = 0?
-7, -2, -1, 1
Factor -w**4/5 + 218*w**3/5 - 12096*w**2/5 + 23328*w/5.
-w*(w - 108)**2*(w - 2)/5
Solve -3*j**4 + 633*j**3 + 4530*j**2 + 10428*j + 7848 = 0 for j.
-3, -2, 218
Suppose -4*o**3 + 148*o**2 + 160*o - 304 = 0. What is o?
-2, 1, 38
Factor 75*p**3 - 66*p**2 - 459*p - 54.
3*(p - 3)*(p + 2)*(25*p + 3)
Suppose k**3/4 - 9*k**2/2 - 66*k - 112 = 0. Calculate k.
-8, -2, 28
Factor -c**4/7 + 806*c**3/7 - 159153*c**2/7 - 1312168*c/7 - 2650384/7.
-(c - 407)**2*(c + 4)**2/7
Find i, given that 45*i**5 - 8535*i**4 + 411755*i**3 - 669285*i**2 + 310200*i - 44180 = 0.
1/3, 1, 94
Find q such that -3*q**2/2 - 171*q/2 - 1209 = 0.
-31, -26
What is u in 21*u**3/2 + 12*u**2 - 21*u/2 - 12 = 0?
-8/7, -1, 1
Factor -4*u**5/3 + 8*u**3/3 - 4*u/3.
-4*u*(u - 1)**2*(u + 1)**2/3
Suppose -v**5 - v**4 + 17*v**3 + 21*v**2 - 72*v - 108 = 0. Calculate v.
-3, -2, 3
Factor -4*a**2 + 12880*a - 10368400.
-4*(a - 1610)**2
Factor 2*g**5/5 - 124*g**4/5 + 242*g**3/5 - 24*g**2.
2*g**2*(g - 60)*(g - 1)**2/5
Factor m**5 - 3*m**4 + 2*m**3 + 2*m**2 - 3*m + 1.
(m - 1)**4*(m + 1)
Factor -d**5/4 + 17*d**4/4.
-d**4*(d - 17)/4
Factor -2*s**2 - 80*s - 222.
-2*(s + 3)*(s + 37)
Solve -m**3 + 87*m**2 - 1935*m + 1849 = 0 for m.
1, 43
Let -2*o**3/5 + 84*o**2/5 - 216*o + 3888/5 = 0. Calculate o.
6, 18
Find x, given that -2*x**4 + 4*x*