2*c**2 + 4*c + 16.
-(c - 1)*(c + 2)**2*(c + 4)
Determine g so that -220*g**5 - 65*g**4 + 525*g**3 + 215*g**2 - 305*g - 150 = 0.
-1, -6/11, 1, 5/4
Let -i**4 + 26*i**3 + 3*i**2 - 76*i - 52 = 0. Calculate i.
-1, 2, 26
Let 3*c**5/5 + 12*c**4/5 + 9*c**3/5 - 12*c**2/5 - 12*c/5 = 0. What is c?
-2, -1, 0, 1
Let 5*r**4 + 475*r**3 + 10545*r**2 - 35035*r + 24010 = 0. What is r?
-49, 1, 2
Factor -r**4/8 + 3*r**3/4 + 3*r**2/2 - 35*r/4 - 75/8.
-(r - 5)**2*(r + 1)*(r + 3)/8
Solve 6*t**5/5 + 6*t**4/5 - 414*t**3/5 + 1146*t**2/5 - 1104*t/5 + 72 = 0 for t.
-10, 1, 6
Suppose 7*t**5/2 - 9*t**4/2 - 13*t**3 + 18*t**2 - 4*t = 0. Calculate t.
-2, 0, 2/7, 1, 2
Find h such that 3*h**4/5 - 42*h**3/5 + 171*h**2/5 - 216*h/5 = 0.
0, 3, 8
Determine r so that r**3 + 81*r**2 - 436*r - 516 = 0.
-86, -1, 6
Find w, given that 3*w**2/8 - 69*w/8 = 0.
0, 23
Determine s so that s**2 - 28*s + 52 = 0.
2, 26
Factor 2*y**3/3 - 6*y**2 + 28*y/3 + 16.
2*(y - 6)*(y - 4)*(y + 1)/3
Suppose 15*x**4 - 85*x**3 - 155*x**2 + 85*x + 140 = 0. Calculate x.
-4/3, -1, 1, 7
Find d, given that -2*d**5 - 100*d**4 + 6*d**3 + 296*d**2 - 200*d = 0.
-50, -2, 0, 1
Factor 2*j**5/9 + 518*j**4/9 + 44372*j**3/9 + 136300*j**2 - 287622*j + 146334.
2*(j - 1)**2*(j + 87)**3/9
Factor -4*v**3 + 36*v**2 - 432.
-4*(v - 6)**2*(v + 3)
Determine m so that -34*m**2/15 - 996*m/5 + 352/15 = 0.
-88, 2/17
Determine m, given that -27*m**3 - 417*m**2/4 - 225*m/4 + 21 = 0.
-28/9, -1, 1/4
Factor -9*k**4 + 12*k**3 + 39*k**2 + 18*k.
-3*k*(k - 3)*(k + 1)*(3*k + 2)
Suppose -l**5/2 + 13*l**4/2 + 21*l**3 - 86*l**2 - 76*l + 240 = 0. Calculate l.
-4, -2, 2, 15
Find x, given that x**3/3 - 2*x**2 - 7*x/3 = 0.
-1, 0, 7
Factor -2*c**2/7 + 104*c/7 + 106/7.
-2*(c - 53)*(c + 1)/7
Factor -n**2 + 6*n - 9.
-(n - 3)**2
Let -4*p**2 - 304*p - 5776 = 0. Calculate p.
-38
Factor -4*r**4 + 12*r**3 + 60*r**2 + 68*r + 24.
-4*(r - 6)*(r + 1)**3
Find n such that -54*n**5 - 4536*n**4 + 9216*n**3 - 6172*n**2 + 1718*n - 172 = 0.
-86, 1/3, 1
Factor 3*o**3/4 - 9*o**2/2 + 9*o - 6.
3*(o - 2)**3/4
Factor 2*x**2/9 - 380*x/9.
2*x*(x - 190)/9
Factor 5*h**3 + 325*h**2 - 2460*h + 4320.
5*(h - 4)*(h - 3)*(h + 72)
Find z such that -z**5/5 - 23*z**4/5 - 127*z**3/5 - 249*z**2/5 - 144*z/5 = 0.
-16, -3, -1, 0
Solve 2*f**4 + 44*f**3 + 192*f**2 - 1036*f - 6370 = 0 for f.
-13, -7, 5
Factor -n**3/4 + 2*n**2 + 5*n.
-n*(n - 10)*(n + 2)/4
Determine z so that -z**3/4 - 5*z**2/2 - 31*z/4 - 15/2 = 0.
-5, -3, -2
What is q in -2*q**2/13 - 56*q/13 - 54/13 = 0?
-27, -1
Factor 3*m**4/2 - 45*m**3 - 3*m**2/2 + 45*m.
3*m*(m - 30)*(m - 1)*(m + 1)/2
Factor -5*u**4/2 + 3*u**3/2.
-u**3*(5*u - 3)/2
Determine f, given that -9*f**4/7 - 39*f**3/7 + 24*f**2/7 + 156*f/7 + 48/7 = 0.
-4, -2, -1/3, 2
What is v in -2*v**5/11 + 4*v**4/11 + 12*v**3/11 - 8*v**2/11 - 26*v/11 - 12/11 = 0?
-1, 2, 3
Factor -4*j**4/7 + 13*j**3/7 - 11*j**2/7 + 2*j/7.
-j*(j - 2)*(j - 1)*(4*j - 1)/7
Solve -u**2/6 + 2*u - 16/3 = 0 for u.
4, 8
Determine j so that -10*j**5/3 - 55*j**4/6 - 5*j**3/6 + 65*j**2/6 + 25*j/6 - 5/3 = 0.
-2, -1, 1/4, 1
Suppose 150*l**5/7 + 915*l**4/7 + 1536*l**3/7 - 90*l**2/7 - 1782*l/7 - 729/7 = 0. What is l?
-3, -9/5, -1/2, 1
Factor -2*i**2 - 4*i - 2.
-2*(i + 1)**2
Factor -3*x**4 - 27*x**3 - 30*x**2 + 108*x + 168.
-3*(x - 2)*(x + 2)**2*(x + 7)
What is i in 2*i**2/21 - 14*i/3 - 84 = 0?
-14, 63
Determine t, given that t**2/4 + 13*t/2 - 27/4 = 0.
-27, 1
Let 2*q**5/5 - 4*q**4 - 34*q**3/5 + 132*q**2/5 = 0. What is q?
-3, 0, 2, 11
Let -2*o**5 + 32*o**4 - 56*o**3 = 0. What is o?
0, 2, 14
Factor 5*r**3 - 270*r**2 - 555*r - 280.
5*(r - 56)*(r + 1)**2
Solve -2*n**4 + 40*n**3 - 264*n**2 + 640*n - 512 = 0 for n.
2, 8
Factor -2*f**3/5 - 238*f**2/5 - 7198*f/5 - 6962/5.
-2*(f + 1)*(f + 59)**2/5
Factor 5*b**3 + 95*b**2 - 5*b - 95.
5*(b - 1)*(b + 1)*(b + 19)
Let 4*n**5/15 - 2*n**4/15 = 0. Calculate n.
0, 1/2
Factor -3*d**5 + 87*d**4 - 825*d**3 + 2541*d**2.
-3*d**2*(d - 11)**2*(d - 7)
Determine j so that -5*j**4/3 - 25*j**3/3 + 35*j**2/3 + 25*j/3 - 10 = 0.
-6, -1, 1
Let 3*h**3/5 - 84*h**2/5 + 81*h/5 = 0. Calculate h.
0, 1, 27
Determine d so that d**3/2 - 3*d**2/2 + 3*d/2 - 1/2 = 0.
1
Factor 3*n**2/8 - 351*n/8 + 87/2.
3*(n - 116)*(n - 1)/8
Factor -q**4/2 - 3*q**3 - 3*q**2/2 + 5*q.
-q*(q - 1)*(q + 2)*(q + 5)/2
Find v such that -v**3/9 + 5*v**2/9 + 2*v/3 = 0.
-1, 0, 6
Suppose 8*j**5 + 10*j**4 - 22*j**3 - 14*j**2 + 14*j + 4 = 0. What is j?
-2, -1, -1/4, 1
Find t such that -2*t**4/9 - 2*t**3/3 + 20*t**2/9 = 0.
-5, 0, 2
Solve f**4/3 - 4*f**3/3 - 67*f**2/3 - 110*f/3 = 0.
-5, -2, 0, 11
Determine n so that n**3/4 - 30*n**2 + 1200*n - 16000 = 0.
40
Factor k**2 + 32*k - 33.
(k - 1)*(k + 33)
Determine a, given that a**5/11 + 2*a**4/11 - 24*a**3/11 = 0.
-6, 0, 4
Find d, given that 15*d**5/7 - 132*d**4/7 + 366*d**3/7 - 456*d**2/7 + 267*d/7 - 60/7 = 0.
4/5, 1, 5
Factor -2*s**4/5 - 102*s**3/5 - 564*s**2/5 - 1096*s/5 - 144.
-2*(s + 2)**3*(s + 45)/5
Factor i**4/5 + 599*i**3/5 + 477*i**2 + 2977*i/5 + 238.
(i + 1)**2*(i + 2)*(i + 595)/5
Factor -t**3 + 8*t**2 + t - 8.
-(t - 8)*(t - 1)*(t + 1)
Solve -2*y**2/9 + 14*y/9 - 4/3 = 0.
1, 6
Factor -3*d**3/5 - 189*d**2/5.
-3*d**2*(d + 63)/5
Determine l so that l**2/4 + 1961*l/2 + 3845521/4 = 0.
-1961
Let -2*l**3/7 + 92*l**2/7 - 90*l/7 = 0. Calculate l.
0, 1, 45
Let 5*l**5/4 - 95*l**4/4 - 315*l**3/4 - 325*l**2/4 - 55*l/2 = 0. What is l?
-1, 0, 22
Solve -4*a**2/3 - 140*a/3 - 136/3 = 0 for a.
-34, -1
Factor -10*u**3/3 + 46*u**2/3 - 112*u/15 - 392/15.
-2*(u + 1)*(5*u - 14)**2/15
What is k in -22*k**2/9 + 20*k/9 + 2/9 = 0?
-1/11, 1
Solve -2*m**5/11 - 14*m**4/11 + 16*m**3/11 = 0.
-8, 0, 1
Factor 2*x**2/3 + 226*x/3.
2*x*(x + 113)/3
Suppose -5*l**4 + 370*l**3 - 345*l**2 - 1480*l + 1460 = 0. What is l?
-2, 1, 2, 73
Determine v, given that 2*v**2 - 138*v = 0.
0, 69
Factor -5*s**2 + 90*s + 95.
-5*(s - 19)*(s + 1)
Solve t**3 + 6*t**2 + 5*t - 12 = 0.
-4, -3, 1
Factor n**2 + 3*n - 4.
(n - 1)*(n + 4)
Factor -v**2 - 607*v.
-v*(v + 607)
Let -4*a**2/9 + 260*a/9 + 536/9 = 0. Calculate a.
-2, 67
Factor 2*r**4/9 - 16*r**3/9 - 22*r**2/9 + 4*r.
2*r*(r - 9)*(r - 1)*(r + 2)/9
Suppose l**3/2 + 41*l**2/6 - 59*l/6 + 5/2 = 0. What is l?
-15, 1/3, 1
Solve -2*u**4/3 - 8*u**3/3 - 10*u**2/3 - 4*u/3 = 0 for u.
-2, -1, 0
Find n, given that 5*n**4/4 + 20*n**3 - 240*n**2 - 2560*n + 20480 = 0.
-16, 8
Factor 2*i**3/23 - 12*i**2/23 - 30*i/23 + 200/23.
2*(i - 5)**2*(i + 4)/23
Factor -c**4 - 2256*c**3 - 2254*c**2 + 2256*c + 2255.
-(c - 1)*(c + 1)**2*(c + 2255)
Solve a**5/5 - 2*a**4/5 - 11*a**3/5 + 12*a**2/5 = 0 for a.
-3, 0, 1, 4
Factor -o**2/4 + 11*o + 23.
-(o - 46)*(o + 2)/4
Factor t**2/5 - 46*t/5 - 544.
(t - 80)*(t + 34)/5
Suppose v**5 - 11*v**4 + 26*v**3 - 16*v**2 = 0. Calculate v.
0, 1, 2, 8
Find k, given that -2*k**3/11 - 56*k**2/11 + 392*k/11 - 544/11 = 0.
-34, 2, 4
Factor -3*c**4 + 9*c**2 + 6*c.
-3*c*(c - 2)*(c + 1)**2
Factor -8*f**3 + 508*f**2 - 2988*f + 1368.
-4*(f - 57)*(f - 6)*(2*f - 1)
Determine r so that -2*r**3 + 8*r**2 - 10*r + 4 = 0.
1, 2
Solve -k**5/7 - 16*k**4/7 + 375*k**3/7 - 1298*k**2/7 + 220*k - 600/7 = 0.
-30, 1, 2, 10
Determine y so that y**2 + 123*y = 0.
-123, 0
Suppose -36*z**2 + 120*z - 100 = 0. Calculate z.
5/3
Factor -2*a**3 - 9*a**2/2 + 29*a + 15/2.
-(a - 3)*(a + 5)*(4*a + 1)/2
Let 2*d**3/5 - 38*d**2 - 192*d/5 = 0. Calculate d.
-1, 0, 96
Suppose s**4/6 - 25*s**2/6 - 10*s - 6 = 0. What is s?
-3, -2, -1, 6
Factor -3*c**3 + 96*c**2 - 540*c - 3888.
-3*(c - 18)**2*(c + 4)
Factor -y**2/2 - 2*y + 6.
-(y - 2)*(y + 6)/2
What is n in 5*n**2 + 50*n - 280 = 0?
-14, 4
Solve o**4/2 + 13*o**3/2 + 25*o**2/2 - 129*o/2 - 135 = 0.
-9, -5, -2, 3
Factor 4*m**4/3 - 32*m**3/3 + 80*m**2/3 - 64*m/3.
4*m*(m - 4)*(m - 2)**2/3
Let 4*t**4/7 + 20*t**3/7 + 4*t**2 + 12*t/7 = 0. What is t?
-3, -1, 0
Determine n, given that 3*n**5 - 102*n**4 - 108*n**3 + 102*n**2 + 105*n = 0.
-1, 0, 1, 35
What is x in -2*x**4/9 - 4822*x**3/9 + 4826*x**2/9 + 4822*x/9 - 536 = 0?
-2412, -1, 1
Factor -5*z**2 - 3915*z/2 - 1955/2.
-5*(z + 391)*(2*z + 1)/2
Solve -3*i**4 - 3*i**3 + 18*i**2 = 0 for i.
-3, 0, 2
Factor 2*b**5/7 + 24*b**4/7 + 40*b**3/7.
2*b**3*(b + 2)*(b + 10)/7
Find s, given that 3*s**5 + 66*s**4 + 63*s**3 = 0.
-21, -1, 0
Factor -3*q**3 - 312*q**2 - 8112*q.
-3*q*(q + 52)**2
Let u**5/5 + 2*u**4 + 4*u**3/5 - 42*u**2/5 + 27*u/5 = 0. What is u?
-9, -3, 0, 1
Factor 2*o*