, 1
Factor -4*y**4 - 144*y**3 + 152*y**2 + 144*y - 148.
-4*(y - 1)**2*(y + 1)*(y + 37)
Factor y**3/8 + 43*y**2/8 + 9*y/2 - 63/2.
(y - 2)*(y + 3)*(y + 42)/8
Factor -4*x**5 - 24*x**4 + 60*x**3 - 32*x**2.
-4*x**2*(x - 1)**2*(x + 8)
Find h such that 3*h**5 - 3870*h**4 + 11592*h**3 - 11586*h**2 + 3861*h = 0.
0, 1, 1287
Factor -3*c**4 + 42*c**3 - 165*c**2 + 126*c.
-3*c*(c - 7)*(c - 6)*(c - 1)
Solve -k**2/3 - 67*k/3 + 68/3 = 0.
-68, 1
Factor 4*f**3 - 53*f**2 - 43*f + 14.
(f - 14)*(f + 1)*(4*f - 1)
What is c in -5*c**4 + 95*c**3 + 15*c**2 - 295*c + 190 = 0?
-2, 1, 19
Factor 5*i**2 + 245*i + 1950.
5*(i + 10)*(i + 39)
Let -4*l**4 - 72*l**3 + 444*l**2 - 368*l = 0. What is l?
-23, 0, 1, 4
Suppose b**5 - 8*b**4 + 19*b**3 - 8*b**2 - 20*b + 16 = 0. What is b?
-1, 1, 2, 4
Factor -4*x**2 - 64*x - 60.
-4*(x + 1)*(x + 15)
Factor 2*h**2/9 - 8*h + 54.
2*(h - 27)*(h - 9)/9
Find n, given that 3*n**2/5 + 51*n/5 + 18 = 0.
-15, -2
Determine q so that 2*q**5/5 + 72*q**4 + 3018*q**3 - 19868*q**2 + 40920*q - 138384/5 = 0.
-93, 2
Let 5*h**5 + 828*h**4 + 1308*h**3 - 656*h**2 = 0. What is h?
-164, -2, 0, 2/5
Factor -2*m**4/5 + 2*m**3/5 + 4*m**2/5.
-2*m**2*(m - 2)*(m + 1)/5
What is s in -s**3 - 146*s**2 - 288*s = 0?
-144, -2, 0
Suppose -2*p**5/7 + 4*p**4/7 + 10*p**3/7 - 20*p**2/7 - 8*p/7 + 16/7 = 0. Calculate p.
-2, -1, 1, 2
Factor -442*i**2/11 + 444*i/11 - 2/11.
-2*(i - 1)*(221*i - 1)/11
Let -g**4/2 - 9*g**3 - 48*g**2 - 55*g + 225/2 = 0. What is g?
-9, -5, 1
Suppose -66*v**2 - 69*v - 3 = 0. What is v?
-1, -1/22
Let 6*f**5/5 + 48*f**4/5 + 6*f**3 - 84*f**2/5 = 0. What is f?
-7, -2, 0, 1
Suppose -3*x**2 + 705*x + 2142 = 0. Calculate x.
-3, 238
Factor -30*m**4 - 99*m**3 - 117*m**2 - 57*m - 9.
-3*(m + 1)**3*(10*m + 3)
Solve -3*y**4/5 + 264*y**3/5 - 1161*y**2 - 264*y/5 + 5808/5 = 0 for y.
-1, 1, 44
What is b in b**5 + 24*b**4 + 201*b**3 + 710*b**2 + 1116*b + 648 = 0?
-9, -2
Factor m**2/5 + 21*m/5 + 38/5.
(m + 2)*(m + 19)/5
Solve -280*g**4 + 925*g**3 - 800*g**2 + 125*g + 30 = 0 for g.
-1/8, 3/7, 1, 2
Solve -4*n**4/3 + 128*n**3/3 - 724*n**2/3 + 200*n = 0 for n.
0, 1, 6, 25
Let 2*g**2/7 - 364*g - 5104/7 = 0. Calculate g.
-2, 1276
Factor v**5 + 123*v**4 + 3720*v**3 - 3844*v**2.
v**2*(v - 1)*(v + 62)**2
Let 3*z**2 + 18*z + 15 = 0. What is z?
-5, -1
Factor m**2/12 + 16*m/3 - 219/4.
(m - 9)*(m + 73)/12
Find o, given that 21*o**4 + 93*o**3 + 87*o**2 - 21*o - 36 = 0.
-3, -1, 4/7
Find h such that -3*h**4/4 + 55*h**3/8 - 25*h**2/2 + 65*h/8 - 7/4 = 0.
1/2, 2/3, 1, 7
Suppose -2*q**5 + 4*q**4 + 4*q**3 - 16*q**2 + 14*q - 4 = 0. Calculate q.
-2, 1
Find b such that b**4/6 - 63*b**3/2 - 95*b**2/3 = 0.
-1, 0, 190
Determine l so that 3*l**3/4 - 27*l**2 - 495*l/4 + 150 = 0.
-5, 1, 40
Suppose -2*i**3/19 - 6*i**2/19 + 8/19 = 0. Calculate i.
-2, 1
Solve -5*z**4 + 30*z**3 - 65*z**2 + 60*z - 20 = 0.
1, 2
Let 4*j**3 - 24*j**2 - 60*j - 32 = 0. Calculate j.
-1, 8
Factor -10*j**2 - 145*j - 135.
-5*(j + 1)*(2*j + 27)
Let -2*r**3/11 - 82*r**2/11 - 26*r + 370/11 = 0. What is r?
-37, -5, 1
Let 2*l**4/7 - 50*l**3/7 + 332*l**2/7 - 480*l/7 = 0. What is l?
0, 2, 8, 15
Factor 3*l**4/2 - 708*l**3 + 82116*l**2 + 337008*l + 339864.
3*(l - 238)**2*(l + 2)**2/2
Factor -2*y**2/7 - 56*y + 1600/7.
-2*(y - 4)*(y + 200)/7
Find q such that -3*q**4 + 12*q**3 + 15*q**2 - 108*q + 108 = 0.
-3, 2, 3
Factor 2*i**3 + 6*i**2 - 338*i + 330.
2*(i - 11)*(i - 1)*(i + 15)
Factor 2*r**2/7 - 40*r/7 + 38/7.
2*(r - 19)*(r - 1)/7
Determine b so that 4*b**3 - 48*b**2 + 84*b + 392 = 0.
-2, 7
Factor 8*l**4 - 86*l**3 + 258*l**2 - 130*l - 50.
2*(l - 5)**2*(l - 1)*(4*l + 1)
Suppose -6*f**3 - 153*f**2 - 147*f = 0. Calculate f.
-49/2, -1, 0
Factor 4*i**4 - 44*i**3 - 4*i**2 + 44*i.
4*i*(i - 11)*(i - 1)*(i + 1)
Determine d, given that 3*d**4 - 445*d**3 - 305*d**2 + 1045*d - 298 = 0.
-2, 1/3, 1, 149
Factor q**3/2 + 23*q**2 + 205*q/2.
q*(q + 5)*(q + 41)/2
Factor 2*c**4/9 + 28*c**3/3 - 520*c**2/3 + 8300*c/9 - 4750/3.
2*(c - 5)**3*(c + 57)/9
Factor -i**4/7 - 20*i**3/7 + 3*i**2/7 + 62*i/7 + 40/7.
-(i - 2)*(i + 1)**2*(i + 20)/7
Factor -2*a**4/7 - 30*a**3/7 + 32*a**2/7.
-2*a**2*(a - 1)*(a + 16)/7
Factor -4*j**4/3 + 136*j**3 - 3724*j**2 + 38416*j/3.
-4*j*(j - 49)**2*(j - 4)/3
Suppose -3*t**2 - 3*t + 18 = 0. Calculate t.
-3, 2
Solve -2*t**4/11 + 128*t**3/11 - 1308*t**2/11 - 23680*t/11 - 68450/11 = 0 for t.
-5, 37
Suppose w**5/3 + 9*w**4 + 25*w**3/3 - 9*w**2 - 26*w/3 = 0. What is w?
-26, -1, 0, 1
Solve 4*q**5/9 - 56*q**4/9 + 208*q**3/9 - 88*q**2/3 + 12*q = 0.
0, 1, 3, 9
Let -2*t**2/3 + 26*t/3 + 32 = 0. What is t?
-3, 16
What is t in -t**4/2 - 3*t**3 - 13*t**2/2 - 6*t - 2 = 0?
-2, -1
Factor 15*i**3 - 25*i**2 + 5*i + 5.
5*(i - 1)**2*(3*i + 1)
Solve d**4/3 + 4*d**3/3 - 4*d**2/3 - 16*d/3 = 0.
-4, -2, 0, 2
Suppose 2*w**5 + 28*w**4 + 74*w**3 - 304*w**2 - 728*w + 1568 = 0. Calculate w.
-7, -4, 2
Factor 3*u**3/4 - 459*u**2/4 + 219*u/2 + 684.
3*(u - 152)*(u - 3)*(u + 2)/4
Factor 8*j**3 - 68*j**2 + 8*j + 192.
4*(j - 8)*(j - 2)*(2*j + 3)
Find r, given that 11*r**4/9 + 224*r**3/9 + 817*r**2/9 + 796*r/9 + 64/3 = 0.
-16, -3, -1, -4/11
Determine g, given that -4*g**4 - 212*g**3 - 3060*g**2 - 5500*g + 25000 = 0.
-25, -5, 2
Factor -5*m**3/6 - 95*m**2/2 + 150*m.
-5*m*(m - 3)*(m + 60)/6
Factor 2*l**2/21 - 40*l/7 - 264/7.
2*(l - 66)*(l + 6)/21
Factor -512*c**3/5 + 416*c**2/5 - 112*c/5 + 2.
-2*(4*c - 1)**2*(16*c - 5)/5
Suppose -2*o**4/11 + 102*o**3/11 + 326*o**2/11 - 102*o/11 - 324/11 = 0. What is o?
-3, -1, 1, 54
Let 3*f**2 - 39*f = 0. Calculate f.
0, 13
Factor -2*q**2 - 1360*q - 231200.
-2*(q + 340)**2
Factor -j**4/6 + 362*j**3 - 294849*j**2 + 106735338*j - 28978644267/2.
-(j - 543)**4/6
Factor 3*v**3 - 117*v**2 - 120*v.
3*v*(v - 40)*(v + 1)
Find h such that 2*h**3/7 - 50*h**2/7 + 272*h/7 = 0.
0, 8, 17
Suppose -8*o**2 + 13*o/2 + 3/2 = 0. What is o?
-3/16, 1
What is k in -k**2/3 - 109*k/3 - 36 = 0?
-108, -1
Suppose -2*b**2/3 + 602*b/3 - 2960/3 = 0. What is b?
5, 296
Factor 2*o**2 - 56*o + 104.
2*(o - 26)*(o - 2)
Factor -2*c**3/3 - 4*c**2/3 + 16*c.
-2*c*(c - 4)*(c + 6)/3
Suppose 4*c**4 - 20*c**3 + 4*c**2 + 84*c - 72 = 0. What is c?
-2, 1, 3
Factor -5*w**4 + 170*w**3 - 1785*w**2 + 7380*w - 10260.
-5*(w - 19)*(w - 6)**2*(w - 3)
Determine h, given that -7*h**4/2 - h**3 + 42*h**2 - 44*h - 16 = 0.
-4, -2/7, 2
Find t, given that 2*t**4/9 - 22*t**3/9 + 10*t**2 - 18*t + 12 = 0.
2, 3
Factor n**3/3 - 16*n**2/3 + 29*n/3 - 14/3.
(n - 14)*(n - 1)**2/3
Find y, given that -13*y**2/5 + 448*y/5 = 0.
0, 448/13
Factor 2*f**4 - 5368*f**3 + 3596556*f**2 + 7209224*f + 3607298.
2*(f - 1343)**2*(f + 1)**2
Find f such that 3*f**4 - 495*f**3 + 21141*f**2 - 59049*f = 0.
0, 3, 81
Let -4*r**5 + 32*r**4 - 80*r**3 + 40*r**2 + 84*r - 72 = 0. What is r?
-1, 1, 2, 3
Factor -4*a**2 + 3800*a + 3804.
-4*(a - 951)*(a + 1)
Let -5*w**3 + 90*w**2 - 435*w + 350 = 0. What is w?
1, 7, 10
Factor -2*n**5/17 + 90*n**4/17 - 1056*n**3/17 + 968*n**2/17.
-2*n**2*(n - 22)**2*(n - 1)/17
Find o, given that 3*o**2/5 - 792*o/5 + 52272/5 = 0.
132
Factor -5*i**2 - 475*i - 1820.
-5*(i + 4)*(i + 91)
Factor 34*k**2 + 378*k + 44.
2*(k + 11)*(17*k + 2)
What is b in 2*b**4/5 + 26*b**3/5 + 46*b**2/5 + 22*b/5 = 0?
-11, -1, 0
Factor 15*b**3 + 36*b**2 - 243*b.
3*b*(b - 3)*(5*b + 27)
Let 3*x**4 - 21*x**3 + 45*x**2 - 39*x + 12 = 0. Calculate x.
1, 4
What is h in 16*h**2/9 - 68*h/3 - 52/9 = 0?
-1/4, 13
Suppose -3*i**2 - 201*i + 630 = 0. Calculate i.
-70, 3
Factor 4*q**3 + 7032*q**2 + 4120752*q + 804920224.
4*(q + 586)**3
Find d such that 5*d**4/4 + 65*d**3/4 = 0.
-13, 0
Suppose 5*y**5 + 30*y**4 - 40*y**3 - 480*y**2 - 640*y = 0. What is y?
-4, -2, 0, 4
Let -t**3/7 + 382*t**2/7 - 34905*t/7 - 304200/7 = 0. Calculate t.
-8, 195
Factor -5*w**2 + 30*w.
-5*w*(w - 6)
Determine w so that 32*w**5 - 272*w**4 + 98*w**3 + 256*w**2 - 130*w + 16 = 0.
-1, 1/4, 1, 8
Factor -3*s**4 + 21*s**3 + 171*s**2 - 1365*s + 1176.
-3*(s - 7)**2*(s - 1)*(s + 8)
Let -16*w**3 + 4*w**2 = 0. What is w?
0, 1/4
Factor 3*a**5/2 - 30*a**4 + 351*a**3/2 - 243*a**2.
3*a**2*(a - 9)**2*(a - 2)/2
Factor -3*g**4 + 42*g**3 + 144*g**2 + 150*g + 51.
-3*(g - 17)*(g + 1)**3
Suppose -3*p**5/2 + 231*p**4/2 - 4545*p**3/2 + 3201*p**2/2 + 10488*p + 6498 = 0. What is p?
-1, 3, 38
Factor -q**5 - 3*q**4 + q**3 + 11*q**2 + 12*q + 4.
-(q - 2)*(q + 1)**3*(q + 2)
Let 4*o**2/3 - 4916*o/3 + 3272 = 0. Calculate o.
2,