*(d + 11)
Let -n**2 + 36*n - 68 = 0. What is n?
2, 34
Factor -3*r**4 - 102*r**3 - 639*r**2 + 3876*r - 4332.
-3*(r - 2)**2*(r + 19)**2
Determine d so that 4*d**4 - 100*d**3 + 188*d**2 - 92*d = 0.
0, 1, 23
Find h such that 11*h**2/5 + 8*h/5 - 3/5 = 0.
-1, 3/11
Find o such that o**3/5 + 77*o**2 - 1164*o/5 = 0.
-388, 0, 3
Factor -b**3/5 + 39*b**2/5 + 601*b/5 + 561/5.
-(b - 51)*(b + 1)*(b + 11)/5
Factor -2*r**2 - 68*r - 450.
-2*(r + 9)*(r + 25)
Let -3*h**2 - 12*h - 12 = 0. Calculate h.
-2
Factor m**4 + 24*m**3 + 140*m**2 - 96*m - 576.
(m - 2)*(m + 2)*(m + 12)**2
Factor 160*p**4/11 + 48*p**3 + 378*p**2/11 - 98*p/11.
2*p*(4*p + 7)**2*(5*p - 1)/11
What is b in b**3/9 + 92*b**2/9 + 89*b/3 = 0?
-89, -3, 0
What is d in -98*d**3 + 1428*d**2 - 6336*d + 7744 = 0?
2, 44/7
What is a in 3*a**5 - 1023*a**4 + 116958*a**3 - 4559550*a**2 + 8772303*a - 4328691 = 0?
1, 113
Let -s**4 + 8*s**3 + 9*s**2 - 92*s - 140 = 0. What is s?
-2, 5, 7
Determine f so that -5*f**4/2 + 60*f**3 - 415*f**2 + 660*f - 605/2 = 0.
1, 11
Let 2*b**3/7 - 2304*b**2/7 + 4602*b/7 - 2300/7 = 0. Calculate b.
1, 1150
Factor 2*s**2 + 140*s - 288.
2*(s - 2)*(s + 72)
Determine o so that -2*o**5/7 - 8*o**4/7 - 6*o**3/7 = 0.
-3, -1, 0
Determine a, given that a**4/2 - 11*a**3 + 141*a**2/2 - 110*a + 50 = 0.
1, 10
Factor -5*c**3 + 13635*c**2 - 9288840*c - 9302480.
-5*(c - 1364)**2*(c + 1)
Let -2*t**2/3 + 11708*t/3 - 17134658/3 = 0. What is t?
2927
Find k such that -k**4/4 - 47*k**3 + 1357*k**2/4 - 394*k - 780 = 0.
-195, -1, 4
Factor -8*c**2/7 - 460*c/7 - 216.
-4*(c + 54)*(2*c + 7)/7
What is w in -5*w**3 + 155*w**2 - 295*w + 145 = 0?
1, 29
What is n in 56*n**3/5 + 188*n**2/5 + 56*n/5 - 12/5 = 0?
-3, -1/2, 1/7
Factor -4*r**3/3 + 28*r**2/3 + 4*r/3 - 28/3.
-4*(r - 7)*(r - 1)*(r + 1)/3
Determine r, given that 3*r**3/7 - 93*r**2/7 + 120*r - 252 = 0.
3, 14
Find m, given that 2*m**3 + 10*m**2 + 16*m + 8 = 0.
-2, -1
Solve -4*o**4 + 12684*o**3 - 13419648*o**2 + 4750479360*o - 14131003392 = 0.
3, 1056
What is r in -3*r**5 + 30*r**4 - 66*r**3 + 12*r**2 + 69*r - 42 = 0?
-1, 1, 2, 7
Find j such that -3*j**2 - 264*j - 5808 = 0.
-44
Suppose 2*p**2/3 + 64*p/3 + 62/3 = 0. Calculate p.
-31, -1
Factor 8*x**4 - 1048*x**3/3 + 36842*x**2/9 - 18340*x/3 + 2450.
2*(x - 21)**2*(6*x - 5)**2/9
Factor -4*j**4 - 32*j**3 + 244*j**2 - 208*j.
-4*j*(j - 4)*(j - 1)*(j + 13)
Find n, given that 36*n**4 - 28*n**2 - 8*n = 0.
-2/3, -1/3, 0, 1
Factor -2*c**2/13 + 80*c/13 - 792/13.
-2*(c - 22)*(c - 18)/13
Determine x, given that -4*x**5 - 16*x**4 + 20*x**3 = 0.
-5, 0, 1
Find l, given that l**3 - 55*l**2 + 728*l + 784 = 0.
-1, 28
Find b such that -3*b**5 - 45*b**4 - 234*b**3 - 438*b**2 + 45*b + 675 = 0.
-5, -3, 1
Determine u, given that -5*u**3 - 540*u**2 + 7020*u - 21600 = 0.
-120, 6
Let -j**3/7 + 81*j**2/7 + 517*j/7 + 435/7 = 0. What is j?
-5, -1, 87
Determine g, given that -3*g**5 + 12*g**4 - 12*g**3 - 6*g**2 + 15*g - 6 = 0.
-1, 1, 2
Factor 2*c**4/9 - 20*c**3/9 - 38*c**2/3 + 52*c.
2*c*(c - 13)*(c - 3)*(c + 6)/9
Factor -2*x**3/3 - 36*x**2 + 114*x.
-2*x*(x - 3)*(x + 57)/3
Let -d**3/4 - 119*d**2/4 + 121*d/2 = 0. Calculate d.
-121, 0, 2
Solve -2*b**3/3 - 32*b**2 + 66*b - 100/3 = 0.
-50, 1
Suppose -g**2/4 - 15*g - 675/4 = 0. Calculate g.
-45, -15
Factor 2*k**4/5 + 42*k**3/5 + 198*k**2/5 + 54*k.
2*k*(k + 3)**2*(k + 15)/5
Factor p**5 + 32*p**4 + 167*p**3 - 200*p**2.
p**2*(p - 1)*(p + 8)*(p + 25)
Let 2*b**2/13 - 198*b/13 - 324 = 0. What is b?
-18, 117
Find a, given that a**2/4 - 97*a + 9409 = 0.
194
Factor 2*c**2 - 10*c + 8.
2*(c - 4)*(c - 1)
Let -x**3 - 9*x**2 - 20*x - 12 = 0. What is x?
-6, -2, -1
Let 2*b**5/9 - 16*b**4/9 + 188*b**2/9 - 130*b/9 - 100/3 = 0. Calculate b.
-3, -1, 2, 5
Factor 4*x**2 - 72*x + 180.
4*(x - 15)*(x - 3)
Solve -2*g**2 - 40*g - 72 = 0 for g.
-18, -2
Let y**2/7 + 27*y/7 + 162/7 = 0. Calculate y.
-18, -9
Determine x, given that 2*x**4/3 - 40*x**3 + 566*x**2/3 - 296*x + 440/3 = 0.
1, 2, 55
Solve 3*j**4 - 2*j**3 - 21*j**2 - 4*j + 12 = 0 for j.
-2, -1, 2/3, 3
Factor 154*w**4 + 464*w**3 - 1534*w**2 - 20*w.
2*w*(w - 2)*(w + 5)*(77*w + 1)
Factor 5*c**5 + 60*c**4 + 225*c**3 + 250*c**2.
5*c**2*(c + 2)*(c + 5)**2
Find g, given that -215*g**4/4 - 19*g**3 + 219*g**2/4 + 19*g - 1 = 0.
-1, -2/5, 2/43, 1
Find a, given that 100*a**5 - 3940*a**4 + 52264*a**3 - 240136*a**2 + 89908*a - 8788 = 0.
1/5, 13
Find o such that 55*o**5 + 320*o**4 + 435*o**3 - 310*o**2 - 620*o + 120 = 0.
-3, -2, 2/11, 1
Factor -z**3/3 + 646*z**2/3 + 647*z/3.
-z*(z - 647)*(z + 1)/3
Suppose 32*l**5/9 - 304*l**4/9 + 146*l**3/9 - 2*l**2 = 0. What is l?
0, 1/4, 9
Factor 2*x**3/7 + 30*x**2/7 - 66*x/7 + 34/7.
2*(x - 1)**2*(x + 17)/7
Factor 18*c**2 + 138*c - 100.
2*(3*c - 2)*(3*c + 25)
Find m such that -5*m**4/2 + 25*m**3/2 - 20*m**2 + 10*m = 0.
0, 1, 2
Factor -4*c**3 + 280*c**2 - 2356*c - 2640.
-4*(c - 60)*(c - 11)*(c + 1)
Factor 5*j**2/4 - 75*j/4 + 35/2.
5*(j - 14)*(j - 1)/4
Factor -x**3/9 + 11*x**2 - 363*x + 3993.
-(x - 33)**3/9
Factor 2*o**5/3 + 4*o**4/3 - 2*o**3.
2*o**3*(o - 1)*(o + 3)/3
Solve t**5 - 5*t**4 + 3*t**3 + 13*t**2 - 8*t - 12 = 0 for t.
-1, 2, 3
Factor l**3/4 + 13*l**2 - 535*l/4 + 427/2.
(l - 7)*(l - 2)*(l + 61)/4
Factor -14*y**4 + 36*y**3 - 16*y**2.
-2*y**2*(y - 2)*(7*y - 4)
Find f such that -125*f**2 + 1050*f - 2205 = 0.
21/5
Suppose 2*h**2/23 + 32*h/23 = 0. Calculate h.
-16, 0
Factor t**3/3 + 137*t**2/3 - 140*t/3 - 92.
(t - 2)*(t + 1)*(t + 138)/3
Find v, given that -2*v**2 + 4820*v - 2904050 = 0.
1205
Suppose -9*m**5/8 + 12*m**4 + 5619*m**3/8 + 897*m**2/4 - 465*m = 0. Calculate m.
-20, -1, 0, 2/3, 31
Factor 2*s**2/9 + 386*s/9 + 380/3.
2*(s + 3)*(s + 190)/9
Factor 3*i**2/5 - 51*i/5 + 156/5.
3*(i - 13)*(i - 4)/5
Determine j, given that -j**2 + 48*j + 1105 = 0.
-17, 65
Factor -4*k**2/9 + 76*k/3 + 472/9.
-4*(k - 59)*(k + 2)/9
Factor -5*b**5 - 5*b**4 + 120*b**3 - 200*b**2 - 80*b + 240.
-5*(b - 2)**3*(b + 1)*(b + 6)
Suppose -a**3/3 - 95*a**2/3 - 542*a/3 - 712/3 = 0. Calculate a.
-89, -4, -2
Solve -6*q**3/7 + 100*q**2/7 - 64*q + 256/7 = 0.
2/3, 8
Factor 5*t**3/4 - 130*t**2 - 1595*t/4 - 535/2.
5*(t - 107)*(t + 1)*(t + 2)/4
What is s in 2*s**5/3 - 8*s**3/3 + 4*s**2/3 + 2*s - 4/3 = 0?
-2, -1, 1
Factor -h**3 - 96*h**2 - 2397*h - 4418.
-(h + 2)*(h + 47)**2
Solve -5*l**3 - 3000*l**2 - 446985*l + 906010 = 0.
-301, 2
Factor 4*d**4 - 20*d**3 + 16*d**2.
4*d**2*(d - 4)*(d - 1)
Determine x, given that -x**3 - 5*x**2 + 22*x - 16 = 0.
-8, 1, 2
Factor -i**4/4 + 3*i**3/4 - i**2/2.
-i**2*(i - 2)*(i - 1)/4
Let -f**2 + 36*f + 37 = 0. Calculate f.
-1, 37
Solve 2*k**5/9 - 80*k**4/3 - 4*k**3/9 + 160*k**2/3 + 2*k/9 - 80/3 = 0 for k.
-1, 1, 120
Factor 3*s**3/2 - 1227*s**2/2 - 2463*s/2 - 1233/2.
3*(s - 411)*(s + 1)**2/2
Find d such that d**5 - 3*d**4 + 3*d**3 - d**2 = 0.
0, 1
Factor 3*v**5 - 9*v**4 - 216*v**3 + 876*v**2 - 864*v.
3*v*(v - 8)*(v - 2)**2*(v + 9)
Factor 2*r**2/7 + 4*r - 64/7.
2*(r - 2)*(r + 16)/7
Factor -3*b**4/5 - 8*b**3/5 + 41*b**2/5 + 6*b.
-b*(b - 3)*(b + 5)*(3*b + 2)/5
Factor -2*x**4/11 - 184*x**3/11 - 540*x**2/11 - 536*x/11 - 178/11.
-2*(x + 1)**3*(x + 89)/11
What is u in -25*u**2 + 1480*u - 295 = 0?
1/5, 59
Factor 4*t**2/7 - 7296*t/7 + 3326976/7.
4*(t - 912)**2/7
Solve -3*t**5/8 - 3*t**4/8 + 3*t**3/8 + 3*t**2/8 = 0 for t.
-1, 0, 1
Factor -2*g**2/9 - 28*g/9 - 10.
-2*(g + 5)*(g + 9)/9
Suppose l**5/7 + 4*l**4/7 - 10*l**3/7 - 64*l**2/7 - 87*l/7 - 36/7 = 0. Calculate l.
-3, -1, 4
Solve q**3/3 + 23*q**2/3 + 40*q - 48 = 0.
-12, 1
Find h such that h**3/4 - 5*h**2/2 + 17*h/4 - 2 = 0.
1, 8
Let 2*h**3 + 7452*h**2 + 9255384*h + 3831728976 = 0. Calculate h.
-1242
Find s such that s**2/6 + 19*s/3 = 0.
-38, 0
Determine l, given that -2*l**5 + 14*l**4 - 30*l**3 + 26*l**2 - 8*l = 0.
0, 1, 4
Factor -5*r**2 - 4630*r - 1071845.
-5*(r + 463)**2
Factor 3*s**5/4 + 6*s**4 + 15*s**3 + 12*s**2.
3*s**2*(s + 2)**2*(s + 4)/4
Factor -95*u**2 - 3485*u + 1110.
-5*(u + 37)*(19*u - 6)
Solve i**4 + 12*i**3 + i**2 - 210*i - 200 = 0.
-10, -5, -1, 4
Solve 9*q**4 + 61*q**3 + 112*q**2 + 44*q - 16 = 0.
-4, -2, -1, 2/9
What is y in -y**5/4 - y**4/2 + 3*y**3/2 + 5*y**2 + 19*y/4 + 3/2 = 0?
-2, -1, 3
Suppose 6*n**4 + 11*n**3 - 92*n**2 + 15*n = 0. Calculate n.
-5, 0, 1/6, 3
Suppose p**4 - 334*p**3/5 + 5708*p**2/5 - 858*p - 1089/5 = 0. What is p?
-1/5, 1, 33
Let 11*q**3/4 - 123*q**2/4 + 55*q - 9 = 0. Calculate q.
2/