3*(j + 3)*(j + 7)
Factor -4*o**2 - 240*o - 3600.
-4*(o + 30)**2
Factor -w**4/4 + w**3/2 + 7*w**2/4 - 5*w + 3.
-(w - 2)**2*(w - 1)*(w + 3)/4
Find h such that 5*h**5 + 60*h**4 + 95*h**3 - 60*h**2 - 100*h = 0.
-10, -2, -1, 0, 1
Let -x**4/12 + 13*x**3/12 + 29*x**2/12 + 5*x/4 = 0. What is x?
-1, 0, 15
Find o, given that -3*o**5/7 + 15*o**4/7 - 18*o**3/7 - 6*o**2/7 + 3*o - 9/7 = 0.
-1, 1, 3
Solve 788*s**5 - 1584*s**4 + 16*s**3 + 1576*s**2 - 804*s + 8 = 0.
-1, 2/197, 1
Factor c**3 - 11*c**2 + 36*c - 36.
(c - 6)*(c - 3)*(c - 2)
Suppose x**5 - 1901*x**4 + 1353744*x**3 - 427322336*x**2 + 50042481664*x + 154010051328 = 0. Calculate x.
-3, 476
Factor -4*u**3/5 - 84*u**2/5 - 441*u/5.
-u*(2*u + 21)**2/5
Solve f**4/2 + 11*f**3/2 + 13*f**2 + 8*f = 0.
-8, -2, -1, 0
Factor -4*f**4/7 - 319*f**3 - 415710*f**2/7 - 25843212*f/7 - 6434856/7.
-(f + 186)**3*(4*f + 1)/7
Factor -2*t**2/17 - 1216*t/17 - 1214/17.
-2*(t + 1)*(t + 607)/17
Factor -4*w**2 - 400*w - 6156.
-4*(w + 19)*(w + 81)
Solve -5*q**4 + 85*q**3 + 395*q**2 + 515*q + 210 = 0 for q.
-2, -1, 21
Factor 5*l**3/2 - 125*l**2/2 + 375*l/2 + 5625/2.
5*(l - 15)**2*(l + 5)/2
Find m such that -5*m**2 + 2235*m - 2230 = 0.
1, 446
Find x, given that -4*x**2 - 824*x - 42436 = 0.
-103
Determine j so that j**5 - j**4 - 5*j**3 + j**2 + 8*j + 4 = 0.
-1, 2
Factor -28*y**3 - 116*y**2 + 512*y - 336.
-4*(y - 2)*(y + 7)*(7*y - 6)
Factor -o**3 - 27*o**2 - 135*o + 675.
-(o - 3)*(o + 15)**2
Let 544*r**3/7 + 4560*r**2/7 + 1326*r - 1156/7 = 0. What is r?
-17/4, 2/17
Factor -14*x**3 + 26*x**2 + 4*x.
-2*x*(x - 2)*(7*x + 1)
Find r, given that 5*r**5 + 70*r**4 + 40*r**3 - 310*r**2 + 195*r = 0.
-13, -3, 0, 1
Suppose -f**4/5 + 28*f**3/5 = 0. What is f?
0, 28
Solve -l**4 + 7*l**3 - 15*l**2 + 9*l = 0.
0, 1, 3
Let -364*l**2 - 316*l + 48 = 0. Calculate l.
-1, 12/91
Solve -6*z**3 - 2996*z**2 + 2000*z = 0.
-500, 0, 2/3
Find s such that -4*s**5 + 20*s**3 - 16*s = 0.
-2, -1, 0, 1, 2
Solve -75*q**4/4 - 495*q**3/2 + 207*q**2 - 42*q = 0.
-14, 0, 2/5
Factor 2*k**2/25 + 256*k/25 - 104/5.
2*(k - 2)*(k + 130)/25
Factor 2*t**3/5 + 28*t**2/5 + 26*t/5.
2*t*(t + 1)*(t + 13)/5
Factor -b**3/4 + 31*b**2/2.
-b**2*(b - 62)/4
Find f such that 3*f**4 + 21*f**3 + 42*f**2 + 24*f = 0.
-4, -2, -1, 0
Factor 2*b**3 - 20*b**2 + 24*b + 144.
2*(b - 6)**2*(b + 2)
Factor -4*s**3 + 168*s**2 - 164*s.
-4*s*(s - 41)*(s - 1)
Solve n**2/2 - 41*n/2 + 105 = 0 for n.
6, 35
What is l in -2*l**2/7 - 62*l/7 - 116/7 = 0?
-29, -2
Let -3*t**5/4 - 9*t**4/2 - 15*t**3/4 + 12*t**2 + 9*t - 12 = 0. What is t?
-4, -2, 1
Suppose -2*x**4 + 10*x**3 + 36*x**2 - 256*x + 320 = 0. Calculate x.
-5, 2, 4
Find v such that -5*v**4 + 15*v**3 + 20*v**2 = 0.
-1, 0, 4
Find o such that 7*o**5 + 30*o**4 + 29*o**3 + 6*o**2 = 0.
-3, -1, -2/7, 0
Determine o, given that 4*o**4/3 + 16*o**3 - 64*o**2/3 - 256*o = 0.
-12, -4, 0, 4
Factor -32*a**5/7 + 16*a**4/7 + 78*a**3/7 + 36*a**2/7.
-2*a**2*(a - 2)*(4*a + 3)**2/7
Suppose 2*w**3/7 + 58*w**2/7 = 0. Calculate w.
-29, 0
What is z in 5*z**4/3 - 10*z**3 + 65*z**2/3 - 20*z + 20/3 = 0?
1, 2
Factor -3*d**3/5 + 9*d/5 + 6/5.
-3*(d - 2)*(d + 1)**2/5
Let 5*d**3/4 - 175*d**2/4 + 1615*d/4 - 1445/4 = 0. What is d?
1, 17
Suppose 10*v**2 + 135*v + 65 = 0. What is v?
-13, -1/2
Factor -x**5/4 + 2*x**4 - 9*x**3/2 + 27*x/4.
-x*(x - 3)**3*(x + 1)/4
Factor 4*z**3 + 316*z**2 - 2040*z.
4*z*(z - 6)*(z + 85)
Factor 3*g**5 - 60*g**4 + 426*g**3 - 1260*g**2 + 1323*g.
3*g*(g - 7)**2*(g - 3)**2
Find m, given that 2*m**3/13 - 110*m**2/13 + 1136*m/13 - 1848/13 = 0.
2, 11, 42
Suppose -4*i**3 + 8*i**2/5 + 164*i/5 + 136/5 = 0. What is i?
-2, -1, 17/5
Let -5*o**3 - 261*o**2/2 - 714*o + 1862 = 0. Calculate o.
-14, 19/10
Suppose 2*j**2 + 128*j + 2016 = 0. What is j?
-36, -28
Factor -2*d**4 - 94*d**3 + 194*d**2 - 98*d.
-2*d*(d - 1)**2*(d + 49)
Factor i**5 + 25*i**4 - 6*i**3 - 142*i**2 + 197*i - 75.
(i - 1)**3*(i + 3)*(i + 25)
Let 8*o**5 - 190*o**4 - 504*o**3 + 878*o**2 + 1496*o + 312 = 0. Calculate o.
-3, -1, -1/4, 2, 26
Find l, given that 3*l**2 + 276*l + 6348 = 0.
-46
What is b in -2*b**4/13 - 298*b**3/13 - 1734*b**2/13 - 2582*b/13 - 88 = 0?
-143, -4, -1
What is z in 3*z**5 + 71*z**4 + 175*z**3 + 149*z**2 + 42*z = 0?
-21, -1, -2/3, 0
What is m in 3*m**4/7 - 3*m**3/7 - 15*m**2/7 - 9*m/7 = 0?
-1, 0, 3
Let -4*f**4 + 36*f**3 - 56*f**2 = 0. What is f?
0, 2, 7
Factor -3*f**2 - 78*f - 207.
-3*(f + 3)*(f + 23)
Find b such that 5*b**3 + 6300*b**2 - 12615*b + 6310 = 0.
-1262, 1
Find b, given that -11*b**3/2 + 35*b**2 + 53*b/2 - 14 = 0.
-1, 4/11, 7
Factor 4*n**4 - 192*n**3.
4*n**3*(n - 48)
Factor -l**2 + 572*l - 81796.
-(l - 286)**2
Solve -k**2/3 + 1308*k + 7852/3 = 0.
-2, 3926
Factor 5*p**3 + 45*p**2 - 240*p - 2240.
5*(p - 7)*(p + 8)**2
Factor -5*o**2 - 235*o - 230.
-5*(o + 1)*(o + 46)
Factor -5*s**3 + 65*s**2 - 175*s - 245.
-5*(s - 7)**2*(s + 1)
Let h**3/8 - 3*h**2/2 - 25*h/8 + 39/2 = 0. Calculate h.
-4, 3, 13
Find r, given that -5*r**5 - 30*r**4 - 50*r**3 + 55*r + 30 = 0.
-3, -2, -1, 1
Factor d**3 - 89*d**2 - 377*d + 465.
(d - 93)*(d - 1)*(d + 5)
Factor -5*y**2 - 10*y + 315.
-5*(y - 7)*(y + 9)
Factor 605*h**2 + 5940*h + 14580.
5*(11*h + 54)**2
Factor 2*t**3 + 6*t**2 - 20*t.
2*t*(t - 2)*(t + 5)
Let 3*q**4 - 6*q**3 - 9*q**2 = 0. Calculate q.
-1, 0, 3
What is t in -2*t**4/7 - 48*t**3/7 - 162*t**2/7 - 4*t + 240/7 = 0?
-20, -3, -2, 1
Suppose -l**2 + 69*l = 0. What is l?
0, 69
Solve -4*w**5/3 - 124*w**4 + 4*w**3/3 + 124*w**2 = 0.
-93, -1, 0, 1
Factor -2*s**3 - 10*s**2 - 14*s - 6.
-2*(s + 1)**2*(s + 3)
Factor -q**3/8 + 35*q**2/8 - 323*q/8 + 289/8.
-(q - 17)**2*(q - 1)/8
Find a, given that -2*a**4/9 + 2*a**3/3 + 80*a**2/9 - 56*a/3 = 0.
-6, 0, 2, 7
Factor -3*c**3/4 - 195*c**2/4 - 816*c - 768.
-3*(c + 1)*(c + 32)**2/4
What is y in -5*y**5 + 245*y**4 - 2230*y**3 - 21770*y**2 + 49275*y - 25515 = 0?
-7, 1, 27
Factor 16*c**4 - 16*c**3 - 60*c**2 + 72*c.
4*c*(c + 2)*(2*c - 3)**2
Suppose 4*p**3 + 76*p**2 + 136*p = 0. What is p?
-17, -2, 0
Find r such that 2*r**2/9 - 25712*r/9 + 82638368/9 = 0.
6428
Factor -t**3/7 + 81*t**2/7 - 234*t/7.
-t*(t - 78)*(t - 3)/7
Factor -3*a**2 - 189*a + 594.
-3*(a - 3)*(a + 66)
Find z, given that z**5 - 3*z**4 - 2*z**3 + 12*z**2 - 8*z = 0.
-2, 0, 1, 2
Let n**3/2 + 7*n**2/2 + 11*n/2 + 5/2 = 0. What is n?
-5, -1
Factor -4*h**4/5 + 9136*h**3/5 - 7824984*h**2/5 + 2978710576*h/5 - 425210934724/5.
-4*(h - 571)**4/5
What is f in -2*f**5/7 + 8*f**4/7 + 258*f**3/7 - 1544*f**2/7 - 256*f/7 + 1536/7 = 0?
-12, -1, 1, 8
Solve 2*y**3/17 - 22*y**2/17 + 38*y/17 - 18/17 = 0.
1, 9
Factor -9*h**3 + 231*h**2.
-3*h**2*(3*h - 77)
Find v, given that 8*v**2 + 212*v + 104 = 0.
-26, -1/2
Determine j so that -2*j**5/3 - 20*j**4/3 - 26*j**3 - 148*j**2/3 - 136*j/3 - 16 = 0.
-3, -2, -1
Solve 20*q**5 - 188*q**4 + 52*q**3 + 188*q**2 - 72*q = 0.
-1, 0, 2/5, 1, 9
Suppose -o**3/4 - 105*o**2/4 - 702*o - 676 = 0. What is o?
-52, -1
Let 27*t**5/5 + 129*t**4/5 + 213*t**3/5 + 27*t**2 + 12*t/5 - 12/5 = 0. Calculate t.
-2, -1, 2/9
Find q, given that 4*q**5 - 120*q**4/7 - 52*q**3/7 + 304*q**2/7 + 144*q/7 - 64/7 = 0.
-1, 2/7, 2, 4
Determine n so that -2*n**5 - 18*n**4 - 60*n**3 - 92*n**2 - 66*n - 18 = 0.
-3, -1
Suppose 2*m**4/11 - 64*m**3/11 + 30*m**2 + 532*m/11 - 800/11 = 0. What is m?
-2, 1, 8, 25
Factor 2*j**2/13 - 5812*j/13 + 4222418/13.
2*(j - 1453)**2/13
Let -4*o**3 - 412*o**2 - 408*o = 0. What is o?
-102, -1, 0
Let -6*t**5 + 26*t**4 + 82*t**3 - 138*t**2 + 36*t = 0. Calculate t.
-3, 0, 1/3, 1, 6
Let 2*b**2 - 84*b + 432 = 0. Calculate b.
6, 36
Factor -3*k**2/4 - 105*k/2 + 108.
-3*(k - 2)*(k + 72)/4
Factor -6*d**3 + 57*d**2 - 111*d + 42.
-3*(d - 7)*(d - 2)*(2*d - 1)
Factor -2*g**3 + 208*g**2.
-2*g**2*(g - 104)
Factor -3*d**5/4 + 339*d**4/4 - 6495*d**3/2 + 88467*d**2/2 - 316239*d/4 + 151959/4.
-3*(d - 37)**3*(d - 1)**2/4
Factor 4*g**3/7 - 6460*g**2/7 + 2611452*g/7 - 2604996/7.
4*(g - 807)**2*(g - 1)/7
Factor 3*n**5 + 201*n**4 - 411*n**3 + 207*n**2.
3*n**2*(n - 1)**2*(n + 69)
Suppose 3*x**3 - 444*x**2 - 11952*x - 74304 = 0. Calculate x.
-12, 172
Factor -v**3 + 125*v**2 + 254*v.
-v*(v - 127)*(v + 2)
Determine x so that -5*x**3 + 25*x**2 + 70*x = 0.
-2, 0, 7
Suppose p**3/6 - 17*p**2/6 - 949*p/6 - 7267/6 = 0. What is p?
-13, 43
Factor -u**4/2 + 5*u**3/2 - 4*u**2 + 2*u.
-u*(u - 2)**2*(u - 1)/2
Let -l**2/4 - 147*l/2 - 21609/4 = 0. What is l?
-147
Sup