522*r**2 + 432*r.
-3*r*(r - 24)*(r - 6)*(r - 1)
Determine m, given that -75*m**5 + 840*m**4 - 1902*m**3 - 360*m**2 + 1809*m - 648 = 0.
-1, 3/5, 3, 8
Factor -4*j**2 - 784*j - 38416.
-4*(j + 98)**2
Factor -25*l**3 - 4440*l**2 - 2645*l + 1770.
-5*(l + 1)*(l + 177)*(5*l - 2)
Factor 3*y**3 - 258*y**2 - 261*y.
3*y*(y - 87)*(y + 1)
Solve -3*g**2/7 - 213*g/7 - 414/7 = 0.
-69, -2
Factor -3*g**2/4 + 99*g/4 - 24.
-3*(g - 32)*(g - 1)/4
Determine p so that 4*p**4 + 31*p**3 + 87*p**2 + 104*p + 44 = 0.
-11/4, -2, -1
Suppose -4*q**3 - 9*q**2 - 2*q = 0. Calculate q.
-2, -1/4, 0
Solve 2*p**3 + 54*p**2 + 148*p + 96 = 0 for p.
-24, -2, -1
Factor -2*z**3/5 + 2*z**2/5 + 2*z/5 - 2/5.
-2*(z - 1)**2*(z + 1)/5
Let 2*p**5/3 - 2*p**4/3 - 2*p**3 + 2*p**2/3 + 4*p/3 = 0. What is p?
-1, 0, 1, 2
Find b such that -35*b**3 + 2270*b**2 - 1915*b - 320 = 0.
-1/7, 1, 64
Factor -5*j**5 - 80*j**4 + 180*j**3 - 10*j**2 - 175*j + 90.
-5*(j - 1)**3*(j + 1)*(j + 18)
Suppose 36*r**5 - 39*r**4 - 249*r**3 + 489*r**2 - 255*r + 18 = 0. What is r?
-3, 1/12, 1, 2
Factor -s**3 - 57*s**2 - 783*s + 841.
-(s - 1)*(s + 29)**2
Determine i so that -i**2/5 + i/5 + 12/5 = 0.
-3, 4
Factor -2*h**3/7 + 18*h**2/7 + 24*h/7 - 320/7.
-2*(h - 8)*(h - 5)*(h + 4)/7
Let -4*y**3 + 16*y**2 - 4*y - 24 = 0. What is y?
-1, 2, 3
Find m, given that 2*m**4/7 - m**3/7 - 13*m**2/7 - 6*m/7 = 0.
-2, -1/2, 0, 3
Find h, given that -5*h**4 + 15*h**3 + 5*h**2 - 15*h = 0.
-1, 0, 1, 3
Suppose 5*j**4/2 + j**3 - 95*j**2/2 + 56*j + 30 = 0. What is j?
-5, -2/5, 2, 3
Suppose d**3/3 - 4*d**2/3 - 7*d = 0. What is d?
-3, 0, 7
Suppose 3*n**2 + 264*n + 5808 = 0. What is n?
-44
Factor 16*i**4 + 100*i**3 + 24*i**2 - 512*i - 128.
4*(i - 2)*(i + 4)**2*(4*i + 1)
Suppose 2*l**3 + 880*l**2 - 1766*l + 884 = 0. What is l?
-442, 1
Find a, given that -2*a**4/9 - 62*a**3/9 - 448*a**2/9 + 512*a/9 = 0.
-16, 0, 1
Factor 20*a**3 + 14095*a**2 - 3525*a.
5*a*(a + 705)*(4*a - 1)
Factor -j**4/3 - 4*j**3 - 18*j**2 - 36*j - 27.
-(j + 3)**4/3
Factor w**3 - 983*w**2 + 1963*w - 981.
(w - 981)*(w - 1)**2
Factor -y**2/6 - 21*y/2 - 343/3.
-(y + 14)*(y + 49)/6
Determine w so that 3*w**4/5 + 18*w**3/5 + 36*w**2/5 + 6*w + 9/5 = 0.
-3, -1
Factor o**2 + 130*o + 4225.
(o + 65)**2
Suppose 2*g**2/3 - 10*g + 36 = 0. Calculate g.
6, 9
Solve 4*g**2 - 648*g + 26244 = 0 for g.
81
Factor 45*l**4 - 6*l**3 - 45*l**2 + 6*l.
3*l*(l - 1)*(l + 1)*(15*l - 2)
Determine z, given that -6*z**4/5 - 44*z**3/5 - 64*z**2/5 + 64*z/5 = 0.
-4, 0, 2/3
Suppose 3*y**5/2 - 6*y**4 + 9*y**3/2 = 0. Calculate y.
0, 1, 3
Factor 5*a**2 + 5*a - 60.
5*(a - 3)*(a + 4)
Let -25*b**3 + 4770*b**2 + 15456*b + 12416 = 0. Calculate b.
-8/5, 194
Solve 3*f**5 + 159*f**4 + 597*f**3 + 441*f**2 = 0 for f.
-49, -3, -1, 0
Factor 2*d**3/9 - 8*d**2/3 + 8*d/3 + 160/9.
2*(d - 10)*(d - 4)*(d + 2)/9
Let -5*n**2 - 5510*n - 1518005 = 0. Calculate n.
-551
What is t in -20736*t**4 + 21888*t**3 - 6352*t**2 + 304*t - 4 = 0?
1/36, 1/2
Find w such that -16*w**5 + 164*w**4 - 24*w**3 - 164*w**2 + 40*w = 0.
-1, 0, 1/4, 1, 10
Factor -p**2 + 154*p - 5929.
-(p - 77)**2
Factor -2*z**4 + 114*z**3 - 1600*z**2.
-2*z**2*(z - 32)*(z - 25)
Let -9*u**4 + 30*u**3 + 27*u**2 - 120*u + 36 = 0. Calculate u.
-2, 1/3, 2, 3
Factor 3*b**2 + 1356*b + 153228.
3*(b + 226)**2
Solve 2*a**2 - 2348*a - 2350 = 0.
-1, 1175
Suppose -n**2/11 + 31*n/11 - 30/11 = 0. What is n?
1, 30
Suppose -6*p**5/11 - 12*p**4/11 + 204*p**3/11 + 192*p**2/11 - 918*p/11 + 540/11 = 0. Calculate p.
-6, -3, 1, 5
Suppose -16*l**4 + 1316*l**3 - 25928*l**2 + 6400*l = 0. Calculate l.
0, 1/4, 32, 50
Let 16*t**4 - 388*t**3 + 464*t**2 - 92*t = 0. What is t?
0, 1/4, 1, 23
Factor y**2/3 + 192*y + 573.
(y + 3)*(y + 573)/3
What is x in 4*x**2 - 73*x + 18 = 0?
1/4, 18
Suppose y**2/5 + 4138*y/5 + 4280761/5 = 0. What is y?
-2069
Suppose -p**2/2 - 6*p + 13/2 = 0. Calculate p.
-13, 1
Factor 8*g**2 + 2786*g + 696.
2*(g + 348)*(4*g + 1)
Factor 9*y**2/5 - 181*y/5 + 4.
(y - 20)*(9*y - 1)/5
Factor -9*i**2/7 - 1210*i/7 - 536/7.
-(i + 134)*(9*i + 4)/7
Factor 5*h**2 + 185*h - 190.
5*(h - 1)*(h + 38)
Let -3*o**4/7 + 78*o**3/7 - 72*o**2/7 - 78*o/7 + 75/7 = 0. What is o?
-1, 1, 25
Solve -36*y**4 + 1144*y**3 - 3776*y**2 - 896*y = 0 for y.
-2/9, 0, 4, 28
Let 5*j**3/2 - 255*j**2/2 + 125*j = 0. What is j?
0, 1, 50
Let -k**5/3 + 20*k**4/3 - 38*k**3 + 232*k**2/3 - 197*k/3 + 20 = 0. What is k?
1, 5, 12
Factor -5*j**5 + 85*j**4 - 470*j**3 + 950*j**2 - 805*j + 245.
-5*(j - 7)**2*(j - 1)**3
Factor 2*z**2/7 - 14488*z/7 + 26237768/7.
2*(z - 3622)**2/7
Solve -2*i**2/15 + 14*i/15 + 4 = 0.
-3, 10
Factor m**2/3 + 32*m/3 + 256/3.
(m + 16)**2/3
Factor 3*w**4 - 2068*w**3 + 2751*w**2 + 690*w - 1376.
(w - 688)*(w - 1)**2*(3*w + 2)
Suppose -f**2/5 + 981*f/5 - 196 = 0. Calculate f.
1, 980
Suppose 14*o**3 + 234*o**2 - 68*o = 0. Calculate o.
-17, 0, 2/7
Factor -z**3/5 - 2*z**2/5 + 3*z/5.
-z*(z - 1)*(z + 3)/5
Determine x, given that x**2 - 17610*x + 77528025 = 0.
8805
Find r such that 2*r**4 - 822*r**3 + 820*r**2 = 0.
0, 1, 410
Factor -2*k**2/7 - 102*k/7 - 936/7.
-2*(k + 12)*(k + 39)/7
Determine d so that -2*d**5 + 32*d**4 - 114*d**3 - 100*d**2 + 424*d - 240 = 0.
-2, 1, 6, 10
Determine k, given that -2*k**2/5 + 38*k/5 + 184/5 = 0.
-4, 23
Let -2*w**3/3 - 1580*w**2 - 1248200*w - 986078000/3 = 0. Calculate w.
-790
Find q, given that 3*q**4/5 + 121*q**3/10 + 121*q**2/5 + 29*q/2 + 9/5 = 0.
-18, -1, -1/6
Factor 4*y**3/5 - 41*y**2/5 + 94*y/5 - 21/5.
(y - 7)*(y - 3)*(4*y - 1)/5
Factor 4*a**3 + 36*a**2 + 32*a - 240.
4*(a - 2)*(a + 5)*(a + 6)
Factor 2*w**2 + 4880*w + 2976800.
2*(w + 1220)**2
Factor -18*w**3 - 6*w**2 + 10*w - 2.
-2*(w + 1)*(3*w - 1)**2
Factor 3*f**2/2 + 75*f/2.
3*f*(f + 25)/2
Let -r**2/6 + 3384*r - 17177184 = 0. Calculate r.
10152
Factor -2*t**3 - 2346*t**2 - 917286*t - 119552942.
-2*(t + 391)**3
Suppose 4*g**4 - 60*g**3 + 212*g**2 - 84*g - 360 = 0. What is g?
-1, 3, 10
Factor 4*f**4 - 4*f**3 - 148*f**2 - 140*f.
4*f*(f - 7)*(f + 1)*(f + 5)
Factor 2*l**3/5 + 666*l**2/5 + 73926*l/5 + 2735262/5.
2*(l + 111)**3/5
Determine a so that 2*a**3/7 + 6*a**2/7 - 8/7 = 0.
-2, 1
Suppose -2*v**3/7 - 66*v**2/7 - 232*v/7 = 0. Calculate v.
-29, -4, 0
Solve 16*k**4/7 - 4*k**3 - 24*k**2/7 + 4*k + 8/7 = 0.
-1, -1/4, 1, 2
Factor -5*g**3 - 565*g**2 + 14245*g - 81675.
-5*(g - 11)**2*(g + 135)
Let 3*b**5/4 + 3*b**4/4 - 3*b**3/4 - 3*b**2/4 = 0. Calculate b.
-1, 0, 1
Solve -2*l**2 + 5712*l - 4078368 = 0 for l.
1428
Determine s, given that 8*s**3/9 + 562*s**2/9 - 428*s/9 - 142/9 = 0.
-71, -1/4, 1
Determine h, given that -h**5 - 2*h**4 + 30*h**3 - 40*h**2 - 29*h + 42 = 0.
-7, -1, 1, 2, 3
Solve -1260*v**4 - 2469*v**3 - 1401*v**2 - 156*v + 36 = 0 for v.
-1, -2/3, -2/5, 3/28
Factor 5*u**3 - 20*u**2 - 95*u - 70.
5*(u - 7)*(u + 1)*(u + 2)
Factor 3*u**3 + 963*u**2 + 2862*u.
3*u*(u + 3)*(u + 318)
Factor -4*p**3 - 496*p**2 + 4196*p - 3696.
-4*(p - 7)*(p - 1)*(p + 132)
Let -s**3/4 - 3*s**2/2 - 9*s/4 = 0. What is s?
-3, 0
Factor -k**4/3 - 24*k**3 + 73*k**2/3.
-k**2*(k - 1)*(k + 73)/3
Find l, given that -8*l**5/3 + 358*l**4/3 - 202*l**3 + 170*l**2/3 + 86*l/3 = 0.
-1/4, 0, 1, 43
Factor 2*n**3 + 2*n**2 - 18*n - 18.
2*(n - 3)*(n + 1)*(n + 3)
Factor 5*y**4 + 10*y**3 - 10*y - 5.
5*(y - 1)*(y + 1)**3
Factor y**2/9 - 140*y/9 - 47/3.
(y - 141)*(y + 1)/9
Determine b, given that -5*b**5 - 105*b**4 - 400*b**3 = 0.
-16, -5, 0
Suppose 6*c**4/11 + 8*c**3/11 - 34*c**2/11 - 12*c/11 = 0. What is c?
-3, -1/3, 0, 2
Suppose 3*j**4 - 702*j**3 - 708*j**2 + 702*j + 705 = 0. What is j?
-1, 1, 235
Find t, given that 16*t**4/5 - 8*t**3/5 - 183*t**2/5 + 74*t - 40 = 0.
-4, 5/4, 2
Factor 2*i**4/5 + 42*i**3/5 + 38*i**2 + 30*i.
2*i*(i + 1)*(i + 5)*(i + 15)/5
Determine x, given that x**2/3 - 8*x + 80/3 = 0.
4, 20
Determine g, given that g**5 + 4*g**4/3 - 5*g**3/3 - 2*g**2/3 = 0.
-2, -1/3, 0, 1
Let 2*y**4/23 + 280*y**3/23 + 10344*y**2/23 + 38080*y/23 + 36992/23 = 0. Calculate y.
-68, -2
Factor 5*x**3 + 50*x**2 + 155*x + 150.
5*(x + 2)*(x + 3)*(x + 5)
What is h in 5*h**5 + 60*h**4 + 105*h**3 + 50*h**2 = 0?
-10, -1, 0
Suppose -10*b**3/3 + 118*b**2/3 - 400*b/3 + 136 = 0. Calculate b.
2, 3, 34/5
Factor -3*m**4/4 + 363*m**3/2 + 7485*m**2/4 + 4725*m.
-3*m*(m - 252)*(m + 5)**2/4
Let 2*u**2 + 92*u + 546 = 0. Calculate u.
-39, -7
Factor -s**3/2 - 1701*s**2 - 1444998*s + 2896804.
-(s - 2)*(s + 1702)**2/2
Let -k**2 - 122*