4
Factor -22*o**3/13 - 11612*o**2/13 - 1531200*o/13 + 278784/13.
-2*(o + 264)**2*(11*o - 2)/13
Solve 49*i**5 - 609*i**4 + 1796*i**3 - 388*i**2 - 720*i - 128 = 0.
-2/7, 1, 4, 8
Factor y**3 - 100*y**2.
y**2*(y - 100)
Suppose 8*o**4 - 364*o**3 - 192*o**2 + 364*o + 184 = 0. What is o?
-1, -1/2, 1, 46
Find f such that 2*f**4/5 - 966*f**3/5 + 118084*f**2/5 - 69504*f + 46080 = 0.
1, 2, 240
Let -7*f**5/8 - 3*f**4/2 + 137*f**3/8 + 51*f**2/4 - 5*f = 0. What is f?
-5, -1, 0, 2/7, 4
Factor 4*i**3/3 - 58*i**2/9 + 76*i/9 - 10/3.
2*(i - 3)*(i - 1)*(6*i - 5)/9
Factor 5*u**3 + 225*u**2 + 2835*u + 10935.
5*(u + 9)**2*(u + 27)
Solve 2*w**5 + 6*w**4 = 0 for w.
-3, 0
Factor 5*f**5 + 60*f**4 + 215*f**3 + 120*f**2 - 400*f.
5*f*(f - 1)*(f + 4)**2*(f + 5)
Let u**5/6 - 19*u**4/6 - u**3/2 + 55*u**2/6 + 19*u/3 = 0. What is u?
-1, 0, 2, 19
Factor -4*t**3 - 4436*t**2 - 8856*t.
-4*t*(t + 2)*(t + 1107)
Let -b**4 - 29*b**3 + 96*b**2 = 0. Calculate b.
-32, 0, 3
Determine r so that -2*r**2 + 486*r - 484 = 0.
1, 242
What is l in 128*l**5/3 + 272*l**4 + 476*l**3 + 358*l**2/3 - 40*l - 6 = 0?
-3, -1/2, -1/8, 1/4
Find m, given that m**5 + 4*m**4 + 2*m**3 - 4*m**2 - 3*m = 0.
-3, -1, 0, 1
Let -9*i**3/4 - 147*i**2/4 + 101*i/4 - 17/4 = 0. What is i?
-17, 1/3
Factor 3*d**5 + 15*d**4 + 21*d**3 + 9*d**2.
3*d**2*(d + 1)**2*(d + 3)
Factor -2*x**2 - 2036*x - 518162.
-2*(x + 509)**2
Determine d so that -d**5/2 + 307*d**4/2 - 299*d**3 - 1823*d**2 - 4265*d/2 - 1525/2 = 0.
-1, 5, 305
Factor 3*q**2 - 36*q.
3*q*(q - 12)
Factor f**5 - 2*f**4 + 2*f**2 - f.
f*(f - 1)**3*(f + 1)
Factor 68*g**3 + 8*g**2 - 68*g - 8.
4*(g - 1)*(g + 1)*(17*g + 2)
Solve -2*q**2/7 - 16*q/7 + 480/7 = 0 for q.
-20, 12
Let 2*o**2 + 8030*o - 8032 = 0. Calculate o.
-4016, 1
Factor 2*w**3/5 - 3664*w**2/5 + 7322*w/5 - 732.
2*(w - 1830)*(w - 1)**2/5
Determine q so that 4*q**4 + 120*q**3 + 624*q**2 - 4216*q + 3468 = 0.
-17, 1, 3
Find w, given that 2*w**2/11 - 2*w/11 - 40/11 = 0.
-4, 5
Let 39*p**4 - 111*p**3 - 369*p**2 + 999*p + 162 = 0. Calculate p.
-3, -2/13, 3
Find r such that -8*r**5 + 26*r**4 + 2*r**3 - 26*r**2 + 6*r = 0.
-1, 0, 1/4, 1, 3
Factor -y**3/3 + 24*y**2.
-y**2*(y - 72)/3
What is g in -3*g**2 + 1074*g - 96123 = 0?
179
Determine u so that 50*u**2 - 135*u - 45 = 0.
-3/10, 3
Suppose 2*i**4 + 24*i**3 - 42*i**2 - 1184*i - 2688 = 0. What is i?
-8, -3, 7
Suppose -4*g**2/7 - 520*g/7 - 16900/7 = 0. What is g?
-65
Suppose 2*p**2/3 + 104*p/3 - 106/3 = 0. Calculate p.
-53, 1
Factor 2*y**3 - 256*y**2 + 1482*y - 2196.
2*(y - 122)*(y - 3)**2
Factor h**3/4 + 3*h**2 - 63*h/4 - 135/2.
(h - 6)*(h + 3)*(h + 15)/4
Factor -2*q**2/3 + 1292*q/3 - 208658/3.
-2*(q - 323)**2/3
Factor -5*d**3 + 1095*d**2 - 1090*d.
-5*d*(d - 218)*(d - 1)
Let -c**2 - 3*c + 598 = 0. What is c?
-26, 23
Suppose 2*h**3 - 162*h**2 + 4374*h - 39366 = 0. What is h?
27
Factor 3*c**2/4 - 1851*c/4.
3*c*(c - 617)/4
Suppose -5*w**3 + 45*w**2 = 0. Calculate w.
0, 9
Suppose -4*k**2/9 - 4*k/3 + 120 = 0. Calculate k.
-18, 15
Solve -4*w**3 + 112*w**2 + 124*w - 232 = 0.
-2, 1, 29
Let 4*a**5 - 3*a**4 - 17*a**3 + 12*a**2 + 4*a = 0. What is a?
-2, -1/4, 0, 1, 2
Let -2*u**3/11 - 8*u**2/11 + 14*u/11 + 20/11 = 0. What is u?
-5, -1, 2
Solve o**5/4 + 9*o**4 - 19*o**3/2 - 9*o**2 + 37*o/4 = 0.
-37, -1, 0, 1
Factor 4*t**2 + 8*t - 192.
4*(t - 6)*(t + 8)
Let 3*t**2/5 + 2208*t/5 + 406272/5 = 0. What is t?
-368
Determine u so that u**2 + 129*u - 396 = 0.
-132, 3
Factor -k**5/3 + 1460*k**4/3 - 852640*k**3/3 + 248970880*k**2/3 - 36349748480*k/3 + 2122825311232/3.
-(k - 292)**5/3
Factor -76*g**2/3 - 92*g/3 - 16/3.
-4*(g + 1)*(19*g + 4)/3
Let 2*o**4/11 - 248*o**3/11 + 490*o**2/11 - 244*o/11 = 0. What is o?
0, 1, 122
Solve -q**3/5 - 5*q**2 - 143*q/5 + 169/5 = 0 for q.
-13, 1
What is b in -2*b**2 + 228*b - 880 = 0?
4, 110
What is g in -2*g**3 + 1736*g**2 + 2*g - 1736 = 0?
-1, 1, 868
Let -15*v**4 + 70*v**3 + 135*v**2 - 70*v - 120 = 0. Calculate v.
-4/3, -1, 1, 6
Factor -3*s**3 + 36*s**2 - 108*s + 96.
-3*(s - 8)*(s - 2)**2
Solve 28*s**5 - 3091*s**4/5 - 3016*s**3/5 + 1097*s**2/5 + 698*s/5 - 184/5 = 0.
-1, -4/7, 1/4, 2/5, 23
Factor 2*z**2/3 + 506*z/3.
2*z*(z + 253)/3
What is u in 12*u**5 + 616*u**4 + 8296*u**3 + 9792*u**2 - 2900*u - 5000 = 0?
-25, -1, 2/3
Find d, given that 3*d**2 + 9*d - 54 = 0.
-6, 3
What is s in 2*s**2 - 1324*s + 1322 = 0?
1, 661
Factor -k**2/7 - 383*k/7 + 384/7.
-(k - 1)*(k + 384)/7
Factor z**5/4 - z**4/4 - 3*z**3/2 - z**2/2 + 5*z/4 + 3/4.
(z - 3)*(z - 1)*(z + 1)**3/4
What is d in -d**2 - 92*d - 91 = 0?
-91, -1
Find x, given that 2*x**5/19 - 12*x**4/19 - 32*x**3/19 = 0.
-2, 0, 8
Suppose -4*m**3 + 8*m**2 + 80*m + 96 = 0. What is m?
-2, 6
Factor -4*o**5 - 72*o**4 + 76*o**3.
-4*o**3*(o - 1)*(o + 19)
Factor 3*i**3 + 837*i**2 + 1662*i.
3*i*(i + 2)*(i + 277)
Find w such that 2*w**2 + 2584*w = 0.
-1292, 0
Factor -3*n**4/2 + 117*n**3/2 - 945*n**2/2 - 3969*n/2.
-3*n*(n - 21)**2*(n + 3)/2
Solve -3*k**2/4 - 81*k - 1545/4 = 0 for k.
-103, -5
Factor 2*t**2/7 + 738*t/7 + 7180/7.
2*(t + 10)*(t + 359)/7
Factor v**3/4 + 13*v**2/2 + 44*v + 64.
(v + 2)*(v + 8)*(v + 16)/4
What is f in 5*f**4 - 115*f**3 - 125*f**2 + 115*f + 120 = 0?
-1, 1, 24
Factor -14*h**2 + 34276*h - 9792.
-2*(h - 2448)*(7*h - 2)
Factor t**5 + t**4 - 34*t**3 + 56*t**2.
t**2*(t - 4)*(t - 2)*(t + 7)
Factor -m**2/2 + 1039*m - 1079521/2.
-(m - 1039)**2/2
Factor s**2/7 - 6*s/7 - 27/7.
(s - 9)*(s + 3)/7
Factor v**2/5 + 18*v/5 - 88/5.
(v - 4)*(v + 22)/5
What is a in 5*a**4 + 55*a**3 + 140*a**2 - 180*a - 720 = 0?
-6, -4, -3, 2
Let -2*v**2/5 - 128*v - 10240 = 0. What is v?
-160
Suppose 2*l**4 + 168*l**3 + 328*l**2 = 0. Calculate l.
-82, -2, 0
Factor 2*j**5/15 - 4*j**4/5 - 2*j**3 - 16*j**2/15.
2*j**2*(j - 8)*(j + 1)**2/15
Factor m**2 + 82*m + 1240.
(m + 20)*(m + 62)
Solve 15*i**4 - 70*i**3 + 100*i**2 - 40*i = 0 for i.
0, 2/3, 2
Determine x so that -25*x**3 + 140*x**2 + 75*x - 90 = 0.
-1, 3/5, 6
Solve -2*k**2/9 - 2*k/9 = 0 for k.
-1, 0
Find s such that 4*s**5 + 62*s**4/3 + 8*s**3/3 - 10*s**2/3 = 0.
-5, -1/2, 0, 1/3
What is j in -2*j**2/11 + 182*j/11 + 372/11 = 0?
-2, 93
Let -3*k**4/8 - 21*k**3/8 - 39*k**2/8 + 9*k/8 + 27/4 = 0. Calculate k.
-3, -2, 1
Factor -3*k**2 - 924*k + 927.
-3*(k - 1)*(k + 309)
Factor 4*u**4 + 576*u**3 + 14904*u**2 - 419904*u + 2125764.
4*(u - 9)**2*(u + 81)**2
Factor 4*i**2/3 + 40*i/3 + 32.
4*(i + 4)*(i + 6)/3
Factor -5*g**5 + 310*g**4 - 2000*g**3 + 4190*g**2 - 3595*g + 1100.
-5*(g - 55)*(g - 4)*(g - 1)**3
Factor h**3 - h.
h*(h - 1)*(h + 1)
Factor i**3/2 + 7*i**2 - 56*i + 80.
(i - 4)*(i - 2)*(i + 20)/2
Factor 2*d**2/7 - 76*d/7 + 74/7.
2*(d - 37)*(d - 1)/7
Determine m, given that -315*m**5 + 204*m**4 + 336*m**3 - 222*m**2 - 21*m + 18 = 0.
-1, -2/7, 1/3, 3/5, 1
Factor g**4/7 + 3*g**3/7 + 3*g**2/7 + g/7.
g*(g + 1)**3/7
Factor m**2/7 + 186*m/7 - 760/7.
(m - 4)*(m + 190)/7
Suppose 3*v**4 + 430*v**3/3 + 1183*v**2 + 2580*v - 1900/3 = 0. Calculate v.
-38, -5, 2/9
Determine a so that -2*a**4 - 40*a**3 - 182*a**2 + 360*a + 1800 = 0.
-10, -3, 3
Factor -k**4/5 + k**3/5 + 2*k**2 + 8*k/5.
-k*(k - 4)*(k + 1)*(k + 2)/5
Find l, given that -l**2/4 - 21*l/2 - 441/4 = 0.
-21
Factor 2*n**2/5 + 324*n/5 + 13122/5.
2*(n + 81)**2/5
Let 75*i**5/4 + 555*i**4/2 + 4677*i**3/4 + 3639*i**2/2 + 963*i + 162 = 0. Calculate i.
-9, -3, -2, -2/5
Factor 10*t**5 + 44*t**4 + 76*t**3 + 64*t**2 + 26*t + 4.
2*(t + 1)**4*(5*t + 2)
Factor z**3/4 - 13*z**2/2 + 69*z/4.
z*(z - 23)*(z - 3)/4
Factor -4*j**3 + 1480*j**2 + 2972*j + 1488.
-4*(j - 372)*(j + 1)**2
Determine g so that 75*g**4 + 1455*g**3 + 573*g**2 + 57*g = 0.
-19, -1/5, 0
Factor -5*k**2/4 + 15*k/4 + 25/2.
-5*(k - 5)*(k + 2)/4
Solve x**2/4 - 77*x/4 + 285 = 0.
20, 57
Suppose -4*q**5 - 28*q**4 - 72*q**3 - 88*q**2 - 52*q - 12 = 0. What is q?
-3, -1
Factor 5*k**4 + 80*k**3 - 380*k**2 + 400*k.
5*k*(k - 2)**2*(k + 20)
Factor 2*j**2 + 34*j + 60.
2*(j + 2)*(j + 15)
Suppose -5*k**5 + 5*k**3 = 0. What is k?
-1, 0, 1
Solve -84*f**4 - 3993*f**3 + 1911*f**2 + 1878*f + 288 = 0 for f.
-48, -2/7, -1/4, 1
Suppose 2*q**3 + 14*q**2 - 20*q - 32 = 0. What is q?
-8, -1, 2
Suppose d**4/5 - 2*d**3 + 33*d**2/5 - 44*d/5 + 4 = 0. What is d?
1, 2, 5
Let -22*h**4/5 - 36*h**3 - 90*h**2 - 68*h - 48/5 = 0. What is h?
-4, -3, -1, -2/11
Factor -5*p**3 + 2275*p**2 - 259915*p + 257645.
-5*(p - 227)**2*(p - 1)
Let -3*m**3/2 + 18*m**2 - 54*m = 0. W