*f**2 - 5*f + 2705.
5*(f - 541)*(f - 1)*(f + 1)
Factor 5*w**3 - 465*w**2 - 470*w.
5*w*(w - 94)*(w + 1)
Factor 2*p**2 + 13048*p + 21281288.
2*(p + 3262)**2
Factor -2*g**3/9 + 16*g**2/9 - 40*g/9 + 32/9.
-2*(g - 4)*(g - 2)**2/9
Suppose 5*g**2 - 30*g - 80 = 0. Calculate g.
-2, 8
Let -42*a**4 - 19*a**3 + 33*a**2 + 10*a = 0. What is a?
-1, -2/7, 0, 5/6
Solve -4*k**3 + 296*k**2 + 308*k - 600 = 0 for k.
-2, 1, 75
Solve 5*k**2 + 17750*k + 15753125 = 0.
-1775
Find g, given that 2*g**5/9 + 110*g**4/9 + 1492*g**3/9 + 5884*g**2/9 - 166*g - 666 = 0.
-37, -9, -1, 1
Determine z, given that -2*z**4/11 + 142*z**3/11 = 0.
0, 71
Find w, given that -8*w**2/7 - 6*w/7 + 2/7 = 0.
-1, 1/4
Determine m, given that 2*m**4/7 + 32*m**3/7 + 138*m**2/7 - 20*m/7 - 800/7 = 0.
-8, -5, 2
Determine j so that 20*j**3 + 115*j**2 - 350*j + 80 = 0.
-8, 1/4, 2
Factor -5*r**2 - 12040*r - 7248080.
-5*(r + 1204)**2
Factor -15*o**3 + 4*o**2 + 9*o + 2.
-(o - 1)*(3*o + 1)*(5*o + 2)
Factor -7*z**3 - 19*z**2 + 6*z.
-z*(z + 3)*(7*z - 2)
Determine r, given that -r**5/4 - r**4/4 + 9*r**3/4 + 5*r**2/4 - 4*r - 3 = 0.
-3, -1, 2
Factor -9*z**2 - 268*z + 60.
-(z + 30)*(9*z - 2)
Factor -u**2 + 46*u.
-u*(u - 46)
Factor 11*q**3 + 68*q**2 + 111*q + 18.
(q + 3)**2*(11*q + 2)
Determine d so that d**4/3 + 2*d**3 + d**2/3 - 8*d - 20/3 = 0.
-5, -2, -1, 2
Factor 2*p**3/5 + 266*p**2/5 + 264*p/5.
2*p*(p + 1)*(p + 132)/5
Solve -2*h**2/7 + 8*h - 54/7 = 0 for h.
1, 27
Suppose -3*f**4/4 - 51*f**3/4 - 12*f**2 = 0. Calculate f.
-16, -1, 0
Factor -k**3/3 - k**2/3 + 16*k/3 + 16/3.
-(k - 4)*(k + 1)*(k + 4)/3
Determine o so that -o**2/3 - 20*o - 611/3 = 0.
-47, -13
Factor -1682*c**4/3 + 1450*c**3/3 + 224*c**2/3 + 8*c/3.
-2*c*(c - 1)*(29*c + 2)**2/3
Let 3*f**5 + 117*f**4 - 375*f**3 + 135*f**2 + 372*f - 252 = 0. What is f?
-42, -1, 1, 2
Solve g**3/3 + 241*g**2/3 + 4085*g - 94299 = 0 for g.
-129, 17
Factor 53*b**2 - 369*b - 14.
(b - 7)*(53*b + 2)
Factor 125*c**3 + 700*c**2 - 295*c + 30.
5*(c + 6)*(5*c - 1)**2
Factor b**4 - 4*b**3.
b**3*(b - 4)
Factor -3*h**2/7 - 51*h/7 + 114/7.
-3*(h - 2)*(h + 19)/7
Find n, given that -2*n**5/13 + 2*n**4/13 + 38*n**3/13 - 2*n**2 - 12*n + 144/13 = 0.
-3, 1, 2, 4
Let -37*g**3/2 - 29*g**2/8 + g/4 = 0. What is g?
-1/4, 0, 2/37
Factor 9*i**3/5 + 6*i**2/5 - 36*i/5 - 24/5.
3*(i - 2)*(i + 2)*(3*i + 2)/5
Factor c**3 - 9*c**2 + 15*c + 25.
(c - 5)**2*(c + 1)
Suppose -36*g**4/5 - 336*g**3/5 - 853*g**2/5 - 5*g + 250 = 0. What is g?
-25/6, -2, 1
Let -2*v**2 - 440*v - 24200 = 0. Calculate v.
-110
Factor 3*s**4 + 12*s**3 + 18*s**2 + 12*s + 3.
3*(s + 1)**4
Solve 2*r**5 - 26*r**4 + 124*r**3 - 256*r**2 + 192*r = 0 for r.
0, 2, 3, 4
Suppose -5*p**4 + 25*p**3 - 40*p**2 + 20*p = 0. What is p?
0, 1, 2
Let 2*c**3 - 4*c**2 - 8*c + 16 = 0. What is c?
-2, 2
Suppose 5*b**4 + 15*b**3 - 50*b**2 = 0. Calculate b.
-5, 0, 2
Suppose 2*v**2 - 120*v/7 - 54/7 = 0. What is v?
-3/7, 9
Factor -5*w**2 + 16165*w - 16160.
-5*(w - 3232)*(w - 1)
Factor 3*q**5 - 3*q**4 - 33*q**3 + 87*q**2 - 78*q + 24.
3*(q - 2)*(q - 1)**3*(q + 4)
Let 375*p**3 - 744*p**2 - 12*p = 0. What is p?
-2/125, 0, 2
Factor -o**4/4 + 13*o**3/4 + 15*o**2/4 - 13*o/4 - 7/2.
-(o - 14)*(o - 1)*(o + 1)**2/4
Let 4*j**3 + 2228*j**2 - 2232*j = 0. What is j?
-558, 0, 1
Factor 6*c**4 + 21*c**3 + 18*c**2.
3*c**2*(c + 2)*(2*c + 3)
Factor 3*m**2 + 63*m + 162.
3*(m + 3)*(m + 18)
What is o in -9*o**5 + 375*o**4 + 558*o**3 - 1818*o**2 + 507*o + 387 = 0?
-3, -1/3, 1, 43
Factor -4*x**4 - 12*x**3 + 12*x**2 + 28*x - 24.
-4*(x - 1)**2*(x + 2)*(x + 3)
Factor -2*h**4/7 + 10*h**3/7 - 4*h**2/7 - 16*h/7.
-2*h*(h - 4)*(h - 2)*(h + 1)/7
Let -20*n**5 + 95*n**4 + 265*n**3 - 660*n**2 - 180*n = 0. What is n?
-3, -1/4, 0, 2, 6
Let 2*w**4 - 10*w**3 - 8*w**2 + 40*w = 0. What is w?
-2, 0, 2, 5
Determine p so that -2*p**3/11 - 240*p**2/11 - 6954*p/11 + 14884/11 = 0.
-61, 2
Solve 3*x**3/7 - 6*x**2 - 495*x/7 + 162 = 0 for x.
-9, 2, 21
Solve -5*g**3 - 570*g**2 + 5*g + 570 = 0 for g.
-114, -1, 1
Factor -2*j**2 - 188*j - 186.
-2*(j + 1)*(j + 93)
Factor 2*i**2/7 + 64*i/7 - 66/7.
2*(i - 1)*(i + 33)/7
Suppose -4*u**4/9 - 2428*u**3/9 + 12212*u**2/9 - 5708*u/3 + 816 = 0. What is u?
-612, 1, 3
Factor -2*p**2/9 - 38*p - 220.
-2*(p + 6)*(p + 165)/9
Determine g so that 2*g**3 + 232*g**2 = 0.
-116, 0
Factor -2*x**3 + 42*x**2 - 294*x + 686.
-2*(x - 7)**3
Factor 2*r**3/5 - 88*r**2/5 + 34*r - 84/5.
2*(r - 42)*(r - 1)**2/5
Factor -3*i**2 - 18*i + 2673.
-3*(i - 27)*(i + 33)
Determine u, given that -3*u**3/4 + 471*u**2/4 = 0.
0, 157
Suppose -2*i**4 - 98*i**3 - 276*i**2 + 8*i + 368 = 0. Calculate i.
-46, -2, 1
Factor -s**5/2 + 25*s**4/2 - 125*s**3 + 625*s**2 - 3125*s/2 + 3125/2.
-(s - 5)**5/2
Let -3*y**5 - 102*y**4 - 855*y**3 = 0. What is y?
-19, -15, 0
Factor -4*w**4 + 56*w**3 - 192*w**2 + 72*w + 324.
-4*(w - 9)*(w - 3)**2*(w + 1)
What is k in -24*k**4 + 116*k**3 - 76*k**2 - 16*k = 0?
-1/6, 0, 1, 4
What is c in -3*c**4 + 57*c**3 + 9*c**2 - 165*c - 114 = 0?
-1, 2, 19
Solve 8*d**5/5 - 12*d**4/5 - 4*d**3/5 + 12*d**2/5 - 4*d/5 = 0 for d.
-1, 0, 1/2, 1
Solve 2*p**3/13 + 1052*p**2/13 + 138338*p/13 = 0 for p.
-263, 0
Let -2*q**3/9 + 3224*q**2/9 - 358*q = 0. What is q?
0, 1, 1611
Solve u**2 + 901*u + 900 = 0 for u.
-900, -1
What is g in -1225*g**5/3 + 26495*g**4/3 + 37784*g**3/3 + 19496*g**2/3 + 4400*g/3 + 368/3 = 0?
-2/5, -2/7, 23
What is v in 4*v**4/3 - 10*v**3/3 + 2*v**2 + 2*v/3 - 2/3 = 0?
-1/2, 1
Solve 3*u**3 + 213*u**2 + 5016*u + 39204 = 0.
-27, -22
Determine m, given that -4*m**4 - 364*m**3/5 - 732*m**2/5 - 452*m/5 - 64/5 = 0.
-16, -1, -1/5
Factor -125*j**4 + 300*j**3 - 230*j**2 + 60*j - 5.
-5*(j - 1)**2*(5*j - 1)**2
Let -1500*a**4 - 3008*a**3 - 1516*a**2 - 8*a = 0. Calculate a.
-1, -2/375, 0
Suppose 2*q**3 + 154*q**2 - 820*q = 0. Calculate q.
-82, 0, 5
Factor 3*j**2/2 - 9*j/2 - 6.
3*(j - 4)*(j + 1)/2
Factor x**4/4 + x**3/2 - x**2 - x/2 + 3/4.
(x - 1)**2*(x + 1)*(x + 3)/4
Factor 4*g**4 + 4*g**3 - 32*g**2 - 48*g.
4*g*(g - 3)*(g + 2)**2
Factor 5*v**3 - 315*v**2 + 4800*v + 5120.
5*(v - 32)**2*(v + 1)
Factor -3*t**2/4 - 24*t - 693/4.
-3*(t + 11)*(t + 21)/4
Factor g**2/5 - 113*g/5 + 66.
(g - 110)*(g - 3)/5
Factor 3*w**4 - 27*w**3 + 78*w**2 - 72*w.
3*w*(w - 4)*(w - 3)*(w - 2)
Factor 3*p**2/4 - 1671*p/4 + 2493/2.
3*(p - 554)*(p - 3)/4
Factor 2*z**2/5 - 140*z + 12250.
2*(z - 175)**2/5
What is w in -w**2/4 + 253*w/2 - 505/4 = 0?
1, 505
Factor -k**5/3 + 5*k**4/3 + 52*k**3 + 736*k**2/3 + 1312*k/3 + 272.
-(k - 17)*(k + 2)**3*(k + 6)/3
Factor 5*w**4 - 10*w**3 - 785*w**2 - 770*w.
5*w*(w - 14)*(w + 1)*(w + 11)
Determine r, given that 2*r**3 - 78*r**2 - 1308*r - 2288 = 0.
-11, -2, 52
Determine q so that -q**5/10 + q**4/5 + 4*q**3/5 = 0.
-2, 0, 4
Let -3*j**5 + 39*j**4 - 90*j**3 = 0. What is j?
0, 3, 10
Factor 3*j**2 - 114*j.
3*j*(j - 38)
Factor -b**4/2 - 31*b**3/2 - 255*b**2/2 - 225*b/2.
-b*(b + 1)*(b + 15)**2/2
Factor -2*z**2/7 + 34*z.
-2*z*(z - 119)/7
Solve -15*a**5 - 110*a**4 + 250*a**3 + 200*a**2 - 235*a - 90 = 0.
-9, -1, -1/3, 1, 2
Let q**4 + 4*q**3 - 17*q**2 - 24*q + 36 = 0. Calculate q.
-6, -2, 1, 3
Let -6*t**3/13 + 14*t**2/13 - 4*t/13 = 0. What is t?
0, 1/3, 2
Factor 3*q**3 + 108*q**2 + 1107*q + 3402.
3*(q + 6)*(q + 9)*(q + 21)
Factor m**2/3 + 17*m/3 + 20.
(m + 5)*(m + 12)/3
Factor -2*q**5/3 + 8*q**4/3 + 2*q**3 - 12*q**2.
-2*q**2*(q - 3)**2*(q + 2)/3
Find k, given that -2*k**4/5 + 102*k**3/5 + 64*k**2 + 216*k/5 = 0.
-2, -1, 0, 54
Let 4*q**2 - 1296*q + 7632 = 0. Calculate q.
6, 318
Factor 122*t**2/9 - 110*t/9 - 4/3.
2*(t - 1)*(61*t + 6)/9
Determine a so that 3*a**4 + 225*a**3 - 228*a**2 = 0.
-76, 0, 1
Solve 75*b**4 + 2415*b**3 + 16182*b**2 - 14124*b + 2904 = 0.
-22, -11, 2/5
Factor -4*n**2/9 + 2200*n/9 - 244.
-4*(n - 549)*(n - 1)/9
Suppose -3*w**2/4 - 153*w/2 + 156 = 0. What is w?
-104, 2
Solve 5*a**2/3 - 2645*a/3 - 2650/3 = 0 for a.
-1, 530
Find v, given that -v**5 - 3*v**4 + 5*v**3 + 15*v**2 - 4*v - 12 = 0.
-3, -2, -1, 1, 2
Determine u so that -18*u**2 + 4*u = 0.
0, 2/9
Suppose j**3 - 17*j**2 + 64*j - 48 = 0. Calculate j.
1, 4, 12
What is r in 65*r**4 - 55*r**3 - 10*r**2 = 0?
-2/13, 0, 1
Factor -2*r**2/13 - 42*r/13 - 108/13.
-2*(r + 3)*(r + 18)/13
Find q, given that 40*q**3 - 44*q**2 - 124*q - 40 = 0.
-1, -2/5, 5/2
Factor -3*u**2 + 1584*u + 1587.
-3*(u - 529)*(u + 1)
Factor 3*w**3 - 15*w**2 - 42*w.
3*w*(w - 7)*(w + 2)
Solve 3*k