ctor 5*a**2 + 50*a + 45.
5*(a + 1)*(a + 9)
Suppose 2*z**2/11 + 1442*z/11 + 1440/11 = 0. Calculate z.
-720, -1
Factor 3*i**3 + 405*i**2 + 798*i.
3*i*(i + 2)*(i + 133)
Solve -3*w**2/5 + 312*w/5 - 8112/5 = 0 for w.
52
Factor z**3/10 - 21*z**2/5 + 85*z/2.
z*(z - 25)*(z - 17)/10
Factor 2*q**3/13 - 278*q**2/13 + 710*q + 30246/13.
2*(q - 71)**2*(q + 3)/13
What is d in -d**2/3 - 2*d + 40/3 = 0?
-10, 4
Factor -7*t**3/3 - 54*t**2 - 443*t/3 - 20.
-(t + 3)*(t + 20)*(7*t + 1)/3
Determine x, given that x**4 + 5*x**3 + 8*x**2 + 4*x = 0.
-2, -1, 0
Factor -m**2/10 - 62*m/5 - 363/10.
-(m + 3)*(m + 121)/10
Find y such that 7*y**2 - 13669*y - 3906 = 0.
-2/7, 1953
Factor 5*k**2 - 1390*k + 1385.
5*(k - 277)*(k - 1)
Factor -3*m**4 - 21*m**3 - 42*m**2 - 24*m.
-3*m*(m + 1)*(m + 2)*(m + 4)
Factor 7*s**5 - 31*s**4 + 54*s**3 - 46*s**2 + 19*s - 3.
(s - 1)**4*(7*s - 3)
Solve -2*n**4 - 10*n**3 + 314*n**2 + 1882*n + 1560 = 0.
-12, -5, -1, 13
Factor -26*m**2/17 - 8*m/17.
-2*m*(13*m + 4)/17
Determine f so that -3*f**5/8 - 45*f**4/8 - 123*f**3/4 - 72*f**2 - 60*f = 0.
-5, -4, -2, 0
Factor 100*q**2 - 240*q + 144.
4*(5*q - 6)**2
Suppose -20*w**5 + 75*w**4 - 80*w**3 + 15*w**2 + 10*w = 0. Calculate w.
-1/4, 0, 1, 2
What is f in 2*f**2/15 + 16*f/15 - 6/5 = 0?
-9, 1
Factor o**4/3 + 4*o**3/3 + 2*o**2 + 4*o/3 + 1/3.
(o + 1)**4/3
Factor 4*i**3 - 4*i**2 - 32*i + 48.
4*(i - 2)**2*(i + 3)
Find k such that -63*k**4/8 + 57*k**3/8 + 69*k**2/8 - 57*k/8 - 3/4 = 0.
-1, -2/21, 1
Solve a**5 + 6*a**4 - 32*a**3 - 126*a**2 + 31*a + 120 = 0 for a.
-8, -3, -1, 1, 5
Factor 3*m**4/7 - 117*m**3/7 + 333*m**2/7 - 327*m/7 + 108/7.
3*(m - 36)*(m - 1)**3/7
Let -h**2 + 100*h + 2124 = 0. Calculate h.
-18, 118
Solve -1200*z**2 - z = 0 for z.
-1/1200, 0
Factor 3*b**2/4 - 39*b + 1521/4.
3*(b - 39)*(b - 13)/4
Solve -18*t**3/5 + 294*t**2/5 - 208*t - 1352/5 = 0.
-1, 26/3
Factor -2*i**4 - 20*i**3 + 382*i**2 - 360*i.
-2*i*(i - 9)*(i - 1)*(i + 20)
Solve u**3 + 7*u**2 - 10*u - 16 = 0 for u.
-8, -1, 2
Suppose -3*d**2 + 51*d - 156 = 0. What is d?
4, 13
Factor 4*o**5/5 - 32*o**4/5 + 84*o**3/5 - 72*o**2/5.
4*o**2*(o - 3)**2*(o - 2)/5
Solve -34*s**3/3 - 10*s**2/3 + 8*s = 0.
-1, 0, 12/17
Factor -2*i**3/3 + 4*i**2 - 22*i/3 + 4.
-2*(i - 3)*(i - 2)*(i - 1)/3
Determine k so that k**3/3 + 5*k**2/3 + k - 3 = 0.
-3, 1
Let -3*b**2 + 732*b - 729 = 0. What is b?
1, 243
Factor -4*l**2 + 56*l - 160.
-4*(l - 10)*(l - 4)
Factor -69*z**3/2 - 623*z**2/2 - 492*z - 14.
-(z + 2)*(z + 7)*(69*z + 2)/2
Factor w**3/2 - 3*w**2/2 - w/2 + 3/2.
(w - 3)*(w - 1)*(w + 1)/2
Factor -9*a**3/4 - 579*a**2/4 + 389*a/4 - 65/4.
-(a + 65)*(3*a - 1)**2/4
Factor 2*a**2/5 + 152*a/5 + 2888/5.
2*(a + 38)**2/5
Factor 3*u**2/7 + 39*u/7 + 66/7.
3*(u + 2)*(u + 11)/7
Factor -3*q**3 + 378*q**2 - 15795*q + 218700.
-3*(q - 45)**2*(q - 36)
Factor 1296*q**4/7 - 216*q**2/7 + 48*q/7 - 3/7.
3*(2*q + 1)*(6*q - 1)**3/7
Determine g, given that 3*g**4 - 24*g**3 + 54*g**2 - 81 = 0.
-1, 3
Suppose 5*r**5/3 - 160*r**4/3 + 330*r**3 - 680*r**2/3 - 995*r/3 + 280 = 0. Calculate r.
-1, 1, 7, 24
Suppose -3*a**4 + 45*a**3 + 111*a**2 - 153*a = 0. Calculate a.
-3, 0, 1, 17
Solve -i**2 + 20*i - 36 = 0 for i.
2, 18
Suppose 2*s**2/5 + 88*s/5 - 954/5 = 0. What is s?
-53, 9
Find a, given that -a**5 + 7*a**4 - 19*a**3 + 25*a**2 - 16*a + 4 = 0.
1, 2
Factor -1089*l**2 + 15180*l - 52900.
-(33*l - 230)**2
Let 22*q**3 - 67*q**2/3 - 56*q/3 + 4 = 0. Calculate q.
-2/3, 2/11, 3/2
Factor 2*d**4/9 + 326*d**3 + 159414*d**2 + 25984482*d.
2*d*(d + 489)**3/9
Determine w so that -3*w**3/5 - 138*w**2/5 + 3*w/5 + 138/5 = 0.
-46, -1, 1
Suppose -3*v**4 + 69*v**3 - 567*v**2 + 1911*v - 2058 = 0. Calculate v.
2, 7
Factor -r**2/6 + 31*r/3 - 961/6.
-(r - 31)**2/6
Determine h so that h**5/6 + 29*h**4/6 + 48*h**3 + 530*h**2/3 + 400*h/3 = 0.
-10, -8, -1, 0
Factor -p**3/2 - 14*p**2.
-p**2*(p + 28)/2
Find f, given that -2*f**5/3 - 2*f**4/3 = 0.
-1, 0
Solve -z**4/7 - 10*z**3/7 + 23*z**2/7 - 12*z/7 = 0 for z.
-12, 0, 1
Factor -2*o**2/15 + 12*o + 368/15.
-2*(o - 92)*(o + 2)/15
Solve 4*j**2 + 20*j + 24 = 0 for j.
-3, -2
Factor -m**3 - 173*m**2 + 1065*m - 1611.
-(m - 3)**2*(m + 179)
Solve -4*q**2 + 200*q - 900 = 0.
5, 45
Suppose 2*q**4 + 28*q**3 + 48*q**2 = 0. Calculate q.
-12, -2, 0
Find x such that x**4/4 - x**3/2 - 3*x**2 - 7*x/2 - 5/4 = 0.
-1, 5
Solve -3*m**2 - 363*m = 0.
-121, 0
Let w**3/3 + 19*w**2/3 - 76*w/3 - 220/3 = 0. What is w?
-22, -2, 5
What is w in 3*w**4/4 + 15*w**3/4 + 6*w**2 + 3*w = 0?
-2, -1, 0
Solve 2*o**4/7 + 12*o**3/7 - 326*o**2/7 - 2952*o/7 - 648 = 0 for o.
-9, -2, 14
Factor -2*x**3/5 + 172*x**2/5 - 338*x/5 + 168/5.
-2*(x - 84)*(x - 1)**2/5
Find h such that -2*h**2 - 14616*h - 26703432 = 0.
-3654
Find l, given that -l**5 + 31*l**3 - 106*l**2 + 132*l - 56 = 0.
-7, 1, 2
Solve 40*m**4 + 1065*m**3 - 1550*m**2 - 255*m + 700 = 0 for m.
-28, -5/8, 1
Factor q**5 - 5*q**4 + 7*q**3 + q**2 - 8*q + 4.
(q - 2)**2*(q - 1)**2*(q + 1)
Solve 2*h**5 + 48*h**4 + 296*h**3 - 288*h**2 - 4096*h + 6144 = 0 for h.
-12, -8, 2
Solve 4*t**5 + 8*t**4 - 8*t**3 - 32*t**2 - 28*t - 8 = 0.
-1, 2
Factor 16*r**3 - 396*r**2 + 284*r + 96.
4*(r - 24)*(r - 1)*(4*r + 1)
Solve 3*x**2 + 426*x - 429 = 0.
-143, 1
Let 15*r**3 + 21*r**2 - 60*r - 84 = 0. Calculate r.
-2, -7/5, 2
Factor -8*j**4 - 194*j**3 - 1200*j**2 - 288*j.
-2*j*(j + 12)**2*(4*j + 1)
Determine t, given that 3*t**4 - 48*t**3 + 270*t**2 - 648*t + 567 = 0.
3, 7
Factor -s**5 + 2*s**4 + 8*s**3 + 2*s**2 - 7*s - 4.
-(s - 4)*(s - 1)*(s + 1)**3
Determine a so that 2*a**4 - 4*a**3 - 18*a**2 + 4*a + 16 = 0.
-2, -1, 1, 4
Suppose -a**4/4 - 29*a**3/4 - 23*a**2/4 + 137*a/4 - 21 = 0. What is a?
-28, -3, 1
Suppose 3*b**5/7 + 30*b**4/7 + 90*b**3/7 + 60*b**2/7 - 93*b/7 - 90/7 = 0. What is b?
-5, -3, -2, -1, 1
Let -5*x**3 + 10*x**2 + 40*x = 0. Calculate x.
-2, 0, 4
Factor -3*i**3/2 - 27*i**2/2 - 12*i.
-3*i*(i + 1)*(i + 8)/2
What is s in -2*s**4/13 - 212*s**3/13 - 7288*s**2/13 - 6076*s + 86490/13 = 0?
-45, -31, 1
Let -l**2/3 - 10*l = 0. Calculate l.
-30, 0
Factor -4*o**2/5 - 48*o/5 - 44/5.
-4*(o + 1)*(o + 11)/5
Factor 2*y**5/5 + 14*y**4/5 + 38*y**3/5 + 10*y**2 + 32*y/5 + 8/5.
2*(y + 1)**3*(y + 2)**2/5
Factor -t**3 - 14*t**2 - 39*t + 54.
-(t - 1)*(t + 6)*(t + 9)
Find p, given that 3*p**3 - 24*p**2 - 60*p = 0.
-2, 0, 10
Find l such that 2*l**3 - 44*l**2 + 42*l = 0.
0, 1, 21
What is f in -5*f**3/6 + 160*f**2 = 0?
0, 192
Factor -5*x**3/4 - x**2/2 + 3*x/4.
-x*(x + 1)*(5*x - 3)/4
Factor 5*k**3/8 + 13*k**2/8 - 13*k/4 + 1.
(k - 1)*(k + 4)*(5*k - 2)/8
Factor -3*k**4 + 3*k**3 + 153*k**2 - 255*k - 1050.
-3*(k - 5)**2*(k + 2)*(k + 7)
What is x in -x**2/8 - 325*x/8 + 163/4 = 0?
-326, 1
Find u, given that 3*u**4 - 750*u**3 + 48324*u**2 - 177858*u - 226935 = 0.
-1, 5, 123
Find z, given that z**4/6 + 55*z**3/3 + 971*z**2/2 - 3080*z/3 + 1568/3 = 0.
-56, 1
Find d such that 44*d**5/3 - 14*d**4/3 - 16*d**3 + 14*d**2/3 + 4*d/3 = 0.
-1, -2/11, 0, 1/2, 1
Factor -2*v**4/11 - 42*v**3/11 - 288*v**2/11 - 640*v/11.
-2*v*(v + 5)*(v + 8)**2/11
Factor 1095*d**2 - 20795*d - 190.
5*(d - 19)*(219*d + 2)
Factor 5*f**3 + 95*f**2 + 155*f - 255.
5*(f - 1)*(f + 3)*(f + 17)
Solve 2*d**2/9 - 208*d/9 + 202/3 = 0.
3, 101
Factor 25*l**2 - 165*l - 70.
5*(l - 7)*(5*l + 2)
Factor g**5 + 7*g**4 + 11*g**3 + 5*g**2.
g**2*(g + 1)**2*(g + 5)
Factor -7*g**3/2 + 118*g**2 - 163*g/2 - 33.
-(g - 33)*(g - 1)*(7*g + 2)/2
Solve -2*w**4/9 - 4*w**3 - 74*w**2/9 + 88*w - 968/9 = 0 for w.
-11, 2
Factor -b**3/3 + 2*b**2/3 + 5*b/3 - 2.
-(b - 3)*(b - 1)*(b + 2)/3
Factor -3*s**3 + 384*s**2 + 2433*s - 2814.
-3*(s - 134)*(s - 1)*(s + 7)
Factor 9*p**4 - 13*p**3 - 5*p**2 + 13*p - 4.
(p - 1)**2*(p + 1)*(9*p - 4)
Factor 4*j**5 - 24*j**4 + 32*j**3 + 24*j**2 - 36*j.
4*j*(j - 3)**2*(j - 1)*(j + 1)
Factor -9*a**3 - 195*a**2 + 96*a + 660.
-3*(a - 2)*(a + 22)*(3*a + 5)
Determine t so that -5*t**2 - 225*t + 720 = 0.
-48, 3
Factor -i**5 + 449*i**4 + 1353*i**3 + 1355*i**2 + 452*i.
-i*(i - 452)*(i + 1)**3
Find x such that -2*x**3/7 - 6*x**2 - 40*x/7 = 0.
-20, -1, 0
Factor l**5/5 + 8*l**4/5 + 9*l**3/5 - 58*l**2/5 - 164*l/5 - 24.
(l - 3)*(l + 2)**3*(l + 5)/5
What is u in -2*u**4/11 + 58*u**3/11 = 0?
0, 29
Suppose -f**5 - 46*f**4 - 42*f**3 + 140*f**2 + 227*f + 90 = 0. What is f?
-45, -1, 2
Suppose -3*u**3/4 - 219*u**2/4 + 57*u + 111 = 0. What is u?
-74, -1, 2
Factor 8*x**4 + 556*x**3 - 292*x**2 - 840*