(p + 1)*(p + 4)*(4*p + 3)
Factor 5*q**4 + 250*q**3 + 935*q**2 + 690*q.
5*q*(q + 1)*(q + 3)*(q + 46)
Solve -x**3 + 11*x**2 - 26*x + 16 = 0.
1, 2, 8
Factor 3*s**3 + 126*s**2 - 2997*s + 14580.
3*(s - 9)**2*(s + 60)
Solve -5*q**2 + 200*q - 2000 = 0.
20
Factor 3*z**5 - 4*z**4 - 25*z**3 - 26*z**2 - 8*z.
z*(z - 4)*(z + 1)**2*(3*z + 2)
Solve -j**2/3 - 25*j/3 + 26/3 = 0.
-26, 1
Factor 8*g**3 - 380*g**2 + 3148*g - 1480.
4*(g - 37)*(g - 10)*(2*g - 1)
Factor 2*j**3/11 + 4*j**2/11 - 6*j/11.
2*j*(j - 1)*(j + 3)/11
Determine b so that -2*b**4/5 - 2*b**3 - 14*b**2/5 - 6*b/5 = 0.
-3, -1, 0
Let 2*i**4/7 + 20*i**3/7 + 34*i**2/7 - 8*i = 0. What is i?
-7, -4, 0, 1
Find b such that b**3/5 + b**2/5 - 5*b - 5 = 0.
-5, -1, 5
Solve 3*f**5 + 15*f**4 + 6*f**3 - 42*f**2 - 9*f + 27 = 0 for f.
-3, -1, 1
Determine f, given that 3*f**5 - 7*f**4 - 39*f**3 - 13*f**2 + 36*f + 20 = 0.
-2, -1, -2/3, 1, 5
What is q in q**5/5 - 7*q**4/5 - q**3/5 + 11*q**2 - 84*q/5 + 36/5 = 0?
-3, 1, 2, 6
Determine d so that 3*d**5 + 24*d**4 - 33*d**3 - 534*d**2 - 1212*d - 840 = 0.
-7, -2, 5
Let -4*k**5/3 - 4*k**4 + 4*k**3/3 + 44*k**2/3 + 16*k + 16/3 = 0. What is k?
-2, -1, 2
Solve -16*c**4 - 60*c**3 - 84*c**2 - 52*c - 12 = 0 for c.
-1, -3/4
Factor -2*b**3 + 288*b**2 - 9120*b - 92416.
-2*(b - 76)**2*(b + 8)
Factor 5*v**4 + 320*v**3 - 1005*v**2 + 20*v + 1340.
5*(v - 2)**2*(v + 1)*(v + 67)
Factor -4*g**4 + 48*g**3 - 72*g**2 - 304*g - 180.
-4*(g - 9)*(g - 5)*(g + 1)**2
Factor -2*w**4 + 48*w**3 - 36*w**2 - 4320*w + 12150.
-2*(w - 15)**2*(w - 3)*(w + 9)
Suppose 2*p**4/3 - 20*p**3/3 + 16*p**2 = 0. What is p?
0, 4, 6
Let 3*i**4/4 - 39*i**3/2 + 54*i**2 - 105*i/2 + 69/4 = 0. Calculate i.
1, 23
Solve -8*w**3/7 + 110*w**2/7 + 3508*w/7 + 870/7 = 0.
-15, -1/4, 29
Let -2*o**2/9 + 1552*o/9 - 1550/9 = 0. Calculate o.
1, 775
Determine z so that 2*z**2 + 7160*z/9 - 1592/9 = 0.
-398, 2/9
Factor 9*m**3/8 + 123*m**2/4 + 399*m/2 - 147.
3*(m + 14)**2*(3*m - 2)/8
Let 25*p**4 + 745*p**3 - 166*p**2 - 484*p - 120 = 0. What is p?
-30, -2/5, 1
What is p in 5*p**3/4 + 15*p**2/4 - 15*p/2 - 10 = 0?
-4, -1, 2
Determine q, given that q**2 + 118*q - 119 = 0.
-119, 1
Factor -5*c**4 + 80*c**3 + 490*c**2 + 720*c + 315.
-5*(c - 21)*(c + 1)**2*(c + 3)
Factor 2*p**3/5 + 374*p**2/5 + 3382*p - 10830.
2*(p - 3)*(p + 95)**2/5
Solve -10*s**5/7 - 106*s**4/7 - 306*s**3/7 - 110*s**2/7 + 100*s/7 = 0 for s.
-5, -1, 0, 2/5
Factor -5*g**5 - 205*g**4 + 645*g**3 - 655*g**2 + 220*g.
-5*g*(g - 1)**3*(g + 44)
Factor -2*i**2 + 2*i + 12.
-2*(i - 3)*(i + 2)
What is k in 2*k**5 - 7*k**4 - 23*k**3 + 67*k**2 + 45*k - 36 = 0?
-3, -1, 1/2, 3, 4
Factor -5*d**5 + 15*d**4 + 155*d**3 + 325*d**2 + 270*d + 80.
-5*(d - 8)*(d + 1)**3*(d + 2)
What is r in 4*r**4/7 - 20*r**3/7 - 12*r**2/7 + 68*r/7 - 40/7 = 0?
-2, 1, 5
Solve -44*j**5 + 7912*j**4 + 17412*j**3 + 10912*j**2 + 1456*j = 0.
-1, -2/11, 0, 182
Factor 4*j**4/5 + 1432*j**3/5 + 122308*j**2/5 - 1048224*j/5 + 2143296/5.
4*(j - 4)**2*(j + 183)**2/5
Factor -3*m**3/4 - 87*m**2/2 - 672*m - 1176.
-3*(m + 2)*(m + 28)**2/4
Let 4*j**4 - 24*j**3 + 12*j**2 + 40*j = 0. What is j?
-1, 0, 2, 5
Factor -3*r**2 - 2085*r.
-3*r*(r + 695)
Suppose u**4/6 + 11*u**3/2 + 33*u**2 + 214*u/3 + 52 = 0. Calculate u.
-26, -3, -2
Suppose 9*f**3 + 21*f**2 + 6*f = 0. What is f?
-2, -1/3, 0
Let 3*j**5 + 6*j**4 - 9*j**3 - 24*j**2 - 12*j = 0. Calculate j.
-2, -1, 0, 2
Factor 49*j**4/2 + 56*j**3 - 363*j**2/2 - 55*j - 4.
(j - 2)*(j + 4)*(7*j + 1)**2/2
Factor -t**4 - 42*t**3 + t**2 + 42*t.
-t*(t - 1)*(t + 1)*(t + 42)
Factor 2*l**2/11 - 1400*l/11.
2*l*(l - 700)/11
Find l such that 360*l**5 + 1225*l**4 + 250*l**3 - 525*l**2 + 90*l = 0.
-3, -1, 0, 2/9, 3/8
Let -524*s**2 + 516*s + 8 = 0. What is s?
-2/131, 1
Factor 2*d**5 - 4*d**4 - 54*d**3 + 112*d**2 + 160*d.
2*d*(d - 4)**2*(d + 1)*(d + 5)
Let -2*f**4/7 + 10*f**3/7 - 4*f**2/7 - 40*f/7 + 48/7 = 0. Calculate f.
-2, 2, 3
Factor 2*y**4/3 - 16*y**3 + 368*y**2/3 - 320*y + 800/3.
2*(y - 10)**2*(y - 2)**2/3
Determine n so that -5*n**4 + 275*n**3 = 0.
0, 55
Solve 3*l**5/7 - 24*l**4/7 + 45*l**3/7 + 12*l**2/7 - 60*l/7 = 0 for l.
-1, 0, 2, 5
Find k, given that 3*k**2/5 + 2886*k/5 + 2883/5 = 0.
-961, -1
Suppose -7*p**4/2 + 185*p**3/4 - 39*p**2/4 = 0. What is p?
0, 3/14, 13
What is b in -6*b**5/5 + 84*b**4/5 - 30*b**3 + 72*b**2/5 = 0?
0, 1, 12
Factor -j**2/2 + 1359*j - 1846881/2.
-(j - 1359)**2/2
Factor 7*v**5/4 + 37*v**4/4 + 73*v**3/4 + 67*v**2/4 + 7*v + 1.
(v + 1)**3*(v + 2)*(7*v + 2)/4
Factor b**5/4 + 3*b**4/2 + 2*b**3 - 4*b**2 - 12*b - 8.
(b - 2)*(b + 2)**4/4
What is r in 2*r**5 + 36*r**4 + 200*r**3 + 252*r**2 - 490*r = 0?
-7, -5, 0, 1
Solve 3*g**5/2 - 165*g**4/2 + 1455*g**3 - 7125*g**2 - 37905*g/2 - 20577/2 = 0.
-1, 19
Find a, given that -2*a**2 - 66*a + 68 = 0.
-34, 1
Let d**5/2 + d**4/2 - 5*d**3 - 5*d**2 + 9*d/2 + 9/2 = 0. Calculate d.
-3, -1, 1, 3
Find t, given that 2*t**2 + 304*t + 11552 = 0.
-76
Solve 25*m**2 - 35*m - 2640 = 0 for m.
-48/5, 11
Factor 2*u**2 + 20012*u + 50060018.
2*(u + 5003)**2
Let z**3/3 - 26*z**2/3 + 140*z/3 + 392/3 = 0. What is z?
-2, 14
Suppose -4*g**3 - 220*g**2 - 832*g - 816 = 0. Calculate g.
-51, -2
Determine w, given that 3*w**4/5 + 9*w**3/5 - 12*w/5 = 0.
-2, 0, 1
Factor k**5/5 + 14*k**4/5.
k**4*(k + 14)/5
Solve 4*n**2/7 + 188*n/7 = 0 for n.
-47, 0
Let o**5/2 + 19*o**4/2 + 24*o**3 - 2*o**2 - 32*o = 0. What is o?
-16, -2, 0, 1
Solve y**4/2 + 31*y**3/2 + 165*y**2/2 - 427*y/2 + 115 = 0 for y.
-23, -10, 1
What is n in 2*n**2 + 3280*n - 3282 = 0?
-1641, 1
Determine q, given that 250*q**3/9 - 1100*q**2/3 + 4840*q/3 - 21296/9 = 0.
22/5
Suppose 3*s**3/4 + 3*s**2/2 - 9*s/4 = 0. What is s?
-3, 0, 1
Factor -3*o**2 + 4034*o + 1345.
-(o - 1345)*(3*o + 1)
Suppose y**4/3 + 77*y**3/3 + 1520*y**2/3 + 1444*y/3 = 0. Calculate y.
-38, -1, 0
Factor 3*r**2 + 12*r.
3*r*(r + 4)
Determine l so that -21*l**4/4 + 141*l**3/4 - 147*l**2/2 + 39*l + 18 = 0.
-2/7, 2, 3
What is m in -m**3 - 19*m**2 + 4*m + 76 = 0?
-19, -2, 2
Factor 5*q**2 - 225*q - 1250.
5*(q - 50)*(q + 5)
Let 2*h**3 + 16*h**2 = 0. What is h?
-8, 0
Factor 3*q**2/5 - 459*q/5 - 186.
3*(q - 155)*(q + 2)/5
Factor -64*g**3 - 560*g**2 - 1177*g - 726.
-(g + 6)*(8*g + 11)**2
Factor -5*t**2 + 75*t - 280.
-5*(t - 8)*(t - 7)
Factor 5*p**4 + 75*p**3 - 730*p**2 + 960*p + 1760.
5*(p - 4)**2*(p + 1)*(p + 22)
Factor n**3/6 - 47*n**2/2 + 1633*n/2 + 5041/6.
(n - 71)**2*(n + 1)/6
Factor -3*k**3/5 + 189*k**2/5 - 546*k/5 + 72.
-3*(k - 60)*(k - 2)*(k - 1)/5
Determine g, given that 2*g**5/5 + 4*g**4/5 - 28*g**3/5 + 16*g**2/5 + 26*g/5 - 4 = 0.
-5, -1, 1, 2
Determine k so that -9*k**5/2 + 27*k**4/2 - 29*k**3/2 + 13*k**2/2 - k = 0.
0, 1/3, 2/3, 1
Suppose 28*n**5 - 340*n**4 - 1184*n**3 + 13616*n**2 + 42880*n - 6400 = 0. Calculate n.
-4, 1/7, 10
Factor -5*o**3 + 260*o**2 - 4025*o + 15870.
-5*(o - 23)**2*(o - 6)
Factor -4*k**2 - 48*k + 112.
-4*(k - 2)*(k + 14)
Factor -3*t**2/2 + 27*t/2 - 27.
-3*(t - 6)*(t - 3)/2
Factor 2*l**4/7 + 44*l**3 + 10898*l**2/7 - 10560*l + 115200/7.
2*(l - 3)**2*(l + 80)**2/7
Factor o**4 - 8*o**2 + 16.
(o - 2)**2*(o + 2)**2
Solve 2*n**5 - 11*n**4 + 9*n**3 + 14*n**2 - 8*n = 0 for n.
-1, 0, 1/2, 2, 4
Factor 2*w**4/3 - 2*w**3/3 - 44*w**2/3 - 88*w/3 - 16.
2*(w - 6)*(w + 1)*(w + 2)**2/3
Factor -5*x**2 + 335*x - 3080.
-5*(x - 56)*(x - 11)
Suppose 4*h**2 - 132*h + 128 = 0. What is h?
1, 32
Factor 2*c**3/7 - 48*c**2 + 12282*c/7 + 158420/7.
2*(c - 89)**2*(c + 10)/7
Factor 2*m**4 - 82*m**3 + 750*m**2 + 1754*m + 920.
2*(m - 23)*(m - 20)*(m + 1)**2
Factor 2*q**2 + 68*q + 128.
2*(q + 2)*(q + 32)
Factor -m**3/3 - 20*m**2/3 - 17*m.
-m*(m + 3)*(m + 17)/3
Find q, given that -3*q**5 - 255*q**4 - 5781*q**3 - 15117*q**2 + 984*q + 20172 = 0.
-41, -2, 1
Find x, given that -2*x**2 + 148*x - 426 = 0.
3, 71
Factor -6*g**2/5 - 24*g/5 + 1512/5.
-6*(g - 14)*(g + 18)/5
Suppose 4*r**5 + 700*r**4 + 2072*r**3 + 1376*r**2 = 0. What is r?
-172, -2, -1, 0
Factor 9*j**4 + 192*j**3 - 881*j**2 - 1420*j - 500.
(j - 5)*(j + 25)*(3*j + 2)**2
Determine n so that -28*n**5 + 2820*n**4 - 1992*n**3 - 800*n**2 = 0.
-2/7, 0, 1, 100
Factor j**4 - 25*j**3 + 189*j**2 - 407*j + 242.
(j - 11)**2*(j - 2)*(j - 1)
Factor c**2 + 4774*c + 5697769.
(c + 2387)**2
Suppose 6*g**3 + 123*g**2 + 174*g + 57 = 0. What is g?
-19, -1, -1/2
Factor -11*f**3/2 + 23*f**2 + 223*f/2 - 21.
-(f - 7)*(f + 3)*(11*f - 2)/2
Solve -4*j*