or -l**3 - 4*l**2 + 12*l.
-l*(l - 2)*(l + 6)
What is k in k**4 + 5*k**3 - 4*k**2 - 44*k - 48 = 0?
-4, -2, 3
Find w, given that w**2 + 326*w + 26569 = 0.
-163
Let -4*v**3/15 + 22*v**2/15 + 52*v/15 - 14/3 = 0. Calculate v.
-5/2, 1, 7
What is a in a**3/5 - 10*a**2 + 143*a/5 - 94/5 = 0?
1, 2, 47
Factor -7*s**2/3 - 5*s - 8/3.
-(s + 1)*(7*s + 8)/3
Suppose 116*r**2 - 16*r = 0. What is r?
0, 4/29
Factor 5*r**4 - 40*r**3 - 370*r**2 + 1800*r + 10125.
5*(r - 9)**2*(r + 5)**2
Suppose 2*r**2 + 234*r - 476 = 0. Calculate r.
-119, 2
Find f, given that 3*f**2/8 + 135*f/4 - 69 = 0.
-92, 2
Factor 2*g**3/7 - 10*g**2/7 - 4*g/7 + 48/7.
2*(g - 4)*(g - 3)*(g + 2)/7
Factor o**4/7 - 76*o**3/7 + 1366*o**2/7 + 2964*o/7 + 1521/7.
(o - 39)**2*(o + 1)**2/7
Determine z so that -2*z**3/3 - 4*z**2/3 + 6*z + 12 = 0.
-3, -2, 3
Solve -2*h**2/5 - 86*h/5 + 140 = 0.
-50, 7
Factor m**2/5 + 148*m/5 - 149/5.
(m - 1)*(m + 149)/5
Let -3*p**3 - 65*p**2/3 - 68*p/3 - 4 = 0. What is p?
-6, -1, -2/9
Factor i**4/8 - 5*i**3/2 + 69*i**2/8 - 41*i/4 + 4.
(i - 16)*(i - 2)*(i - 1)**2/8
Factor -2*z**2/13 + 2068*z/13 - 534578/13.
-2*(z - 517)**2/13
Find z, given that -3*z**4/5 + 33*z**3 + 3*z**2/5 - 33*z = 0.
-1, 0, 1, 55
Let 5*c**2/2 - 4*c = 0. What is c?
0, 8/5
Suppose 2*y**4 + 8*y**3 + 12*y**2 + 8*y + 2 = 0. What is y?
-1
Suppose -2*c**5 + 17*c**4/2 + 52*c**3 + 125*c**2/2 + 13*c - 8 = 0. What is c?
-2, -1, 1/4, 8
Suppose -5*x**5 - 55*x**4 - 215*x**3 - 345*x**2 - 180*x = 0. What is x?
-4, -3, -1, 0
Solve a**3 + 9*a**2 + 27*a + 27 = 0.
-3
Factor 3*l**2/7 - 687*l/7 - 690/7.
3*(l - 230)*(l + 1)/7
Factor -5*q**2 - 910*q + 915.
-5*(q - 1)*(q + 183)
What is g in -g**4/2 - g**3/2 + 40*g**2 + 150*g = 0?
-6, -5, 0, 10
Find o, given that 3*o**2 + 25986*o + 56272683 = 0.
-4331
Factor -3*f**3/4 - 6*f**2 - 51*f/4 - 15/2.
-3*(f + 1)*(f + 2)*(f + 5)/4
Factor 15*w**2 - 455*w + 150.
5*(w - 30)*(3*w - 1)
Determine r, given that -2*r**3/7 + 142*r**2/7 - 278*r/7 + 138/7 = 0.
1, 69
Let -2*g**3/25 - 192*g**2/25 - 744*g/25 - 736/25 = 0. Calculate g.
-92, -2
Factor -l**4/5 - l**3/5 + 9*l**2/5 + 9*l/5.
-l*(l - 3)*(l + 1)*(l + 3)/5
Factor 3*i**2 + 1449*i.
3*i*(i + 483)
Find a, given that 2*a**5/11 - 12*a**4/11 + 2*a**3 - 12*a**2/11 = 0.
0, 1, 2, 3
Solve -c**2/5 - 5*c + 54/5 = 0 for c.
-27, 2
Determine r, given that -5*r**2 + 1100*r - 1095 = 0.
1, 219
Factor 4*x**2/5 + 588*x/5 + 232.
4*(x + 2)*(x + 145)/5
What is p in -3*p**4/2 - 17*p**3 + 321*p**2/2 + 1716*p - 1210 = 0?
-11, 2/3, 10
Determine z so that 3*z**2 - 20178*z + 33929307 = 0.
3363
Factor 5*x**2 - 6180*x + 1909620.
5*(x - 618)**2
Factor 13*i**3 - 430*i**2 + 449*i - 32.
(i - 32)*(i - 1)*(13*i - 1)
Determine t so that 30*t**4 - 813*t**3 - 1665*t**2 + 336*t + 348 = 0.
-2, -2/5, 1/2, 29
What is x in 28*x**5 + 148*x**4 + 152*x**3 + 32*x**2 = 0?
-4, -1, -2/7, 0
Let -44*c**5/9 - 1141*c**4/9 - 8368*c**3/9 - 12044*c**2/9 + 416*c/3 + 64 = 0. What is c?
-12, -2, -2/11, 1/4
Factor 4*v**2/7 + 48*v/7.
4*v*(v + 12)/7
What is o in -o**3/2 - 9*o**2/2 - o + 24 = 0?
-8, -3, 2
Find o such that 245*o**3 + 175*o**2 - 65*o + 5 = 0.
-1, 1/7
Factor 16*v**4 - 20*v**3 - 39*v**2/4 + 20*v - 25/4.
(v - 1)*(v + 1)*(8*v - 5)**2/4
Find m such that -m**2 + 30*m + 31 = 0.
-1, 31
Suppose -4*l**5 - 7136*l**4 - 3182656*l**3 = 0. What is l?
-892, 0
Factor -3*i**2 + 357*i - 2970.
-3*(i - 110)*(i - 9)
Suppose -4*p**3 - 24*p**2 - 36*p - 16 = 0. What is p?
-4, -1
Determine v, given that 2*v**5/5 - 14*v**4/5 + 12*v**3/5 + 56*v**2/5 - 16*v = 0.
-2, 0, 2, 5
Solve 4*k**3 - 268*k**2 + 1648*k + 1920 = 0 for k.
-1, 8, 60
Suppose -5*m**4/2 - 11*m**3 - 33*m**2/2 - 10*m - 2 = 0. What is m?
-2, -1, -2/5
Find q, given that -3*q**5 - 27*q**4 + 3*q**3 + 27*q**2 = 0.
-9, -1, 0, 1
Let 2*z**4 + 82*z**3 - 650*z**2 + 1046*z - 480 = 0. What is z?
-48, 1, 5
Solve -2*r**3/3 + 200*r**2 - 398*r + 596/3 = 0 for r.
1, 298
Factor -f**2/2 + 436*f - 871/2.
-(f - 871)*(f - 1)/2
Factor 50*r**4 + 3640*r**3/3 + 67688*r**2/9 + 5824*r/3 + 128.
2*(r + 12)**2*(15*r + 2)**2/9
Factor -3*k**3 + 60*k**2 - 267*k + 210.
-3*(k - 14)*(k - 5)*(k - 1)
Factor -3*u**2 - 135*u - 132.
-3*(u + 1)*(u + 44)
Factor 3*m**4 + 3*m**3 - 69*m**2 + 117*m - 54.
3*(m - 3)*(m - 1)**2*(m + 6)
Factor -5*h**2 - 1150*h.
-5*h*(h + 230)
Solve -3*r**4/2 - 36*r**3 - 177*r**2 + 468*r - 507/2 = 0 for r.
-13, 1
Factor 4*r**2 + 2920*r - 5856.
4*(r - 2)*(r + 732)
Solve -3*g**2/2 - 30*g - 150 = 0 for g.
-10
Suppose 5*v**5 + 322*v**4 + 5558*v**3 + 12092*v**2 + 8773*v + 1922 = 0. Calculate v.
-31, -1, -2/5
Find x such that -10*x**5/7 + 24*x**4/7 + 62*x**3/7 + 12*x**2/7 - 16*x/7 = 0.
-1, 0, 2/5, 4
Factor -4*b**2 - 14440*b.
-4*b*(b + 3610)
Factor 5*p**4 + 10*p**3 - 75*p**2 - 160*p - 80.
5*(p - 4)*(p + 1)**2*(p + 4)
Find x such that -x**2/2 - 5*x/2 + 42 = 0.
-12, 7
Solve 3*m**3/2 + 645*m**2 + 68688*m - 139968 = 0 for m.
-216, 2
Factor 4*r**4 - 72*r**3 - 240*r**2 - 248*r - 84.
4*(r - 21)*(r + 1)**3
Determine d, given that d**5 - 6*d**4 + 8*d**3 + 16*d**2 - 48*d + 32 = 0.
-2, 2
Find z, given that -2*z**2/9 - 172*z/9 - 3698/9 = 0.
-43
Factor -5*d**3 - 60*d**2 - 145*d + 210.
-5*(d - 1)*(d + 6)*(d + 7)
Solve -5*r**4 + 85*r**3 + 95*r**2 - 85*r - 90 = 0.
-1, 1, 18
Factor f**3 - 15*f**2 - 117*f - 189.
(f - 21)*(f + 3)**2
Suppose -j**4/2 + 11*j**3/2 + 55*j**2/2 + 73*j/2 + 15 = 0. What is j?
-2, -1, 15
Factor 5*c**3 - 55*c**2 + 50*c + 360.
5*(c - 9)*(c - 4)*(c + 2)
Factor -h**4/4 + 13*h**3/4 - 39*h**2/4 + 27*h/4.
-h*(h - 9)*(h - 3)*(h - 1)/4
Factor -2*r**2/5 + 18*r + 288/5.
-2*(r - 48)*(r + 3)/5
What is t in t**2 - 668*t + 111556 = 0?
334
Solve -t**2 - 9*t - 18 = 0 for t.
-6, -3
Factor 4*g**2 + 208*g + 2704.
4*(g + 26)**2
Factor n**5/3 - 266*n**4 + 53332*n**3 - 316808*n**2/3.
n**2*(n - 398)**2*(n - 2)/3
Factor -5*b**4 - 40*b**3 - 90*b**2 + 135.
-5*(b - 1)*(b + 3)**3
Factor -a**5 - 4*a**4 - 4*a**3 + 2*a**2 + 5*a + 2.
-(a - 1)*(a + 1)**3*(a + 2)
Determine r, given that -4*r**2 - 2188*r = 0.
-547, 0
Solve 8*f**3 + 30*f**2 + 16*f - 6 = 0.
-3, -1, 1/4
Factor -3*q**2/5 + 102*q/5.
-3*q*(q - 34)/5
Factor -2*y**3 - 36*y**2 - 30*y + 68.
-2*(y - 1)*(y + 2)*(y + 17)
Factor 2*l**2/19 - 25392*l/19 + 80594208/19.
2*(l - 6348)**2/19
Factor 7*i**4/6 + 79*i**3/6 + 155*i**2/6 + 101*i/6 + 3.
(i + 1)**2*(i + 9)*(7*i + 2)/6
Factor 5*z**3 + 35*z**2 + 30*z.
5*z*(z + 1)*(z + 6)
Suppose 2*p**4/5 - 276*p**3/5 - 2*p**2/5 + 276*p/5 = 0. Calculate p.
-1, 0, 1, 138
Let 192*z**4 - 224*z**3 - 956*z**2 - 350*z + 150 = 0. Calculate z.
-5/4, -5/6, 1/4, 3
Factor 2*p**4/7 - 26*p**3/7 - 4*p**2.
2*p**2*(p - 14)*(p + 1)/7
Let 4*k**3 + 36*k**2 + 72*k = 0. What is k?
-6, -3, 0
Factor -4*r**3 - 1224*r**2 - 4812*r + 6040.
-4*(r - 1)*(r + 5)*(r + 302)
Solve 2*k**4 + 8*k**3 + 4*k**2 - 8*k - 6 = 0 for k.
-3, -1, 1
Factor -3*i**3/4 + 15*i**2/4 + 33*i/2 - 42.
-3*(i - 7)*(i - 2)*(i + 4)/4
Factor 55*h**5 + 135*h**4 + 75*h**3 - 35*h**2 - 30*h.
5*h*(h + 1)**3*(11*h - 6)
Suppose -l**4/3 + 10*l**3 - 39*l**2 - 212*l/3 + 100 = 0. What is l?
-2, 1, 6, 25
Let -9604*m**5 + 29008*m**4 - 19797*m**3 + 395*m**2 - 2*m = 0. What is m?
0, 1/98, 1, 2
Let -3*d**4/7 - 57*d**3/7 - 270*d**2/7 - 216*d/7 = 0. What is d?
-12, -6, -1, 0
Factor -j**5/4 + 3*j**4 - 53*j**3/4 + 55*j**2/2 - 27*j + 10.
-(j - 5)*(j - 2)**3*(j - 1)/4
Determine g, given that -5*g**5 - 25*g**4 + 90*g**3 + 380*g**2 + 40*g - 480 = 0.
-6, -2, 1, 4
Find a, given that -4*a**5/9 - 8*a**4/9 + 140*a**3/9 + 64*a**2/9 - 1360*a/9 + 1600/9 = 0.
-5, 2, 4
Let -4*x**2 + 24448*x - 37356544 = 0. Calculate x.
3056
Factor 8*y**3 + 44*y**2 - 28*y - 24.
4*(y - 1)*(y + 6)*(2*y + 1)
Suppose -4*b**2/5 - 844*b/5 + 1704/5 = 0. What is b?
-213, 2
Factor -2*k**2/3 + 316*k/3 - 12482/3.
-2*(k - 79)**2/3
Solve 2*a**5/5 + 36*a**4/5 + 62*a**3/5 - 36*a**2/5 - 64*a/5 = 0 for a.
-16, -2, -1, 0, 1
Factor -n**4 - 28*n**3 - 267*n**2 - 940*n - 700.
-(n + 1)*(n + 7)*(n + 10)**2
Solve 2*h**3/9 - 10*h**2 + 150*h - 750 = 0.
15
Factor -i**3/3 - 23*i**2 - 529*i - 12167/3.
-(i + 23)**3/3
Let -4*g**2 + 1000*g + 1004 = 0. Calculate g.
-1, 251
Solve -9*w**4 + 15*w**3 + 3*w**2 - 15*w + 6 = 0.
-1, 2/3, 1
Determine z, given that 2*z**3 - 141*z**2/2 + 531*z/2 - 62 = 0.
1/4, 4, 31
Factor -3*z**4 + 3*z**3 + 51*z**2 + 45*z.
-3*z*(z - 5)*(z + 1)*(z + 3)
Suppose 55*d**2 + 3090*d = 0. What is d?
-618/11, 0
Solve 2*r**4/17 + 12*r**3/17 + 18*r**2/17 - 8*r/1