55*d**3 - 480*d**2 + 400*d = 0. What is d?
-4, 0, 1, 4, 5
Factor z**2/3 - 15*z + 44/3.
(z - 44)*(z - 1)/3
Find g such that -2*g**5 - 722*g**4/11 + 82*g**3 + 586*g**2/11 - 80*g + 136/11 = 0.
-34, -1, 2/11, 1
Factor -2*y**3 + 60*y**2 + 432*y.
-2*y*(y - 36)*(y + 6)
Solve 57*n**4 - 39*n**3 - 75*n**2 + 39*n + 18 = 0 for n.
-1, -6/19, 1
Find s such that 25*s**2 - 35*s + 10 = 0.
2/5, 1
Find k such that -2*k**4/3 + 26*k**3/3 - 112*k**2/3 + 160*k/3 = 0.
0, 4, 5
Let -p**2/6 + 21*p/2 = 0. Calculate p.
0, 63
Factor 2*s**3 + 8*s**2 - 22*s + 12.
2*(s - 1)**2*(s + 6)
Find i, given that -5*i**3 + 4500*i**2 - 1350000*i + 135000000 = 0.
300
Factor -3*s**3 + 60*s**2 - 396*s + 864.
-3*(s - 8)*(s - 6)**2
Find g such that 6*g**5 + 53*g**4/2 + g**3 - 62*g**2 + 33*g - 9/2 = 0.
-3, 1/4, 1/3, 1
Solve -2*t**2 + 3820*t - 1824050 = 0.
955
Solve -20*p**4/3 + 4*p**3 + 248*p**2/3 + 32*p = 0.
-3, -2/5, 0, 4
Factor 3*w**2 - 102*w + 99.
3*(w - 33)*(w - 1)
Determine n so that -4*n**4/3 - 28*n**3/3 + 16*n**2 + 400*n/3 + 448/3 = 0.
-7, -2, 4
Factor -2*j**2/7 - 68*j + 4446/7.
-2*(j - 9)*(j + 247)/7
Factor 2*x**4/3 - 56*x**3/3 + 200*x**2/3 - 64*x.
2*x*(x - 24)*(x - 2)**2/3
Suppose 15*i**4/8 - 3*i**3/2 - 33*i**2/8 - 3*i/4 = 0. What is i?
-1, -1/5, 0, 2
Factor -r**4/4 + 7*r**2/4 + 3*r/2.
-r*(r - 3)*(r + 1)*(r + 2)/4
Determine x so that 16*x**2 - 180*x + 44 = 0.
1/4, 11
Factor -3*a**3/4 - 165*a**2/4 + 3*a/4 + 165/4.
-3*(a - 1)*(a + 1)*(a + 55)/4
Let 9*k**4 - 699*k**3 + 13455*k**2 + 4563*k = 0. Calculate k.
-1/3, 0, 39
Factor s**5/2 - 4*s**4/3 - 7*s**3/2 + 13*s**2 - 22*s/3 - 4.
(s - 2)**3*(s + 3)*(3*s + 1)/6
Determine p so that -444*p**4/5 - 562*p**3/5 + 188*p**2/5 + 286*p/5 - 4 = 0.
-1, 5/74, 2/3
Factor -l**2/4 - 724*l + 2897/4.
-(l - 1)*(l + 2897)/4
Find c, given that -2*c**4/9 + 10*c**3/9 + 4*c**2/3 - 64*c/9 - 64/9 = 0.
-2, -1, 4
Factor 3*s**3 - 306*s**2 + 7803*s.
3*s*(s - 51)**2
Let -5*s**5 + 350*s**4 - 2295*s**3 + 5770*s**2 - 6340*s + 2520 = 0. Calculate s.
1, 2, 63
Determine u so that -8*u**5/11 + 40*u**4/11 + 190*u**3/11 + 40*u**2/11 - 200*u/11 + 64/11 = 0.
-2, 1/2, 8
What is j in -3*j**2/8 - 45*j/8 + 6 = 0?
-16, 1
Let -5*c**2 - 310*c + 2415 = 0. What is c?
-69, 7
Factor -147*f**4 + 1806*f**3 - 7059*f**2 + 9288*f - 3888.
-3*(f - 1)**2*(7*f - 36)**2
Let -4*s**3 - 428*s**2 + 868*s - 436 = 0. What is s?
-109, 1
Factor -b**5/2 - 3*b**4 - 4*b**3.
-b**3*(b + 2)*(b + 4)/2
Determine j, given that -j**4 + 116*j**3 + 3*j**2 - 346*j - 232 = 0.
-1, 2, 116
Factor -5*i**4 + 825*i**3 - 45375*i**2 + 831875*i.
-5*i*(i - 55)**3
Find k, given that -k**2/6 - 2833*k/3 - 8025889/6 = 0.
-2833
Factor 3*b**5/5 - 666*b**4/5 + 36288*b**3/5 + 75264*b**2/5.
3*b**2*(b - 112)**2*(b + 2)/5
Factor 4*k**4/7 - 148*k**3/7 + 1824*k**2/7 - 7488*k/7.
4*k*(k - 13)*(k - 12)**2/7
Let j**2/10 + 11*j/2 + 27/5 = 0. What is j?
-54, -1
Factor 2*g**2 + 6*g - 80.
2*(g - 5)*(g + 8)
Find z such that 3*z**2 + 138*z - 2976 = 0.
-62, 16
Suppose n**5 + 37*n**4/3 + 50*n**3 + 226*n**2/3 + 45*n + 25/3 = 0. Calculate n.
-5, -1, -1/3
Factor -o**3 + 26*o**2 - 49*o + 24.
-(o - 24)*(o - 1)**2
Factor -o**2/5 + o.
-o*(o - 5)/5
Suppose u**2/6 - 3*u/2 = 0. What is u?
0, 9
Determine f so that 2*f**4/3 + 8*f**3/3 + 2*f**2/3 - 4*f = 0.
-3, -2, 0, 1
Factor p**3 + 74*p**2 + 1292*p - 2888.
(p - 2)*(p + 38)**2
Determine h so that 3*h**4/2 - 141*h**3/2 - 300*h**2 - 306*h = 0.
-2, 0, 51
Factor s**2/3 + 12*s - 39.
(s - 3)*(s + 39)/3
Solve -z**4 - z**3 + 6*z**2 + 4*z - 8 = 0.
-2, 1, 2
Let -5*k**3 - 95*k**2 - 90*k = 0. Calculate k.
-18, -1, 0
Factor b**2/2 + 10*b - 21/2.
(b - 1)*(b + 21)/2
Factor -h**3/7 + h**2/7 + h/7 - 1/7.
-(h - 1)**2*(h + 1)/7
Determine f so that -55*f**3 + 740*f**2 + 3225*f + 1530 = 0.
-3, -6/11, 17
Factor -5*p**3 - 10*p**2 + 1615*p.
-5*p*(p - 17)*(p + 19)
Factor -2*u**2 + 3916*u - 1916882.
-2*(u - 979)**2
Factor 5*p**3 - 20*p.
5*p*(p - 2)*(p + 2)
Let 2*y**5/5 + 5968*y**4/5 - 4*y**3/5 - 11936*y**2/5 + 2*y/5 + 5968/5 = 0. Calculate y.
-2984, -1, 1
Solve 27380*d**4 + 216672*d**3 + 592288*d**2 + 620160*d + 166464 = 0 for d.
-102/37, -2, -2/5
Determine c, given that 245*c**4 - 3080*c**3 + 1700*c**2 - 240*c = 0.
0, 2/7, 12
Factor 1100*f**2 + 2197*f - 6.
(f + 2)*(1100*f - 3)
Determine b so that 4*b**4 + 376*b**3 + 10212*b**2 + 64672*b + 118336 = 0.
-43, -4
Find q such that -4*q**2/7 - 176*q/7 - 1740/7 = 0.
-29, -15
Factor 2*k**2/21 - 82*k/21 + 36.
2*(k - 27)*(k - 14)/21
Find j, given that -j**3/6 + 41*j**2/6 - 176*j/3 - 242 = 0.
-3, 22
Factor p**3/2 + 65*p**2/2 + 476*p - 1734.
(p - 3)*(p + 34)**2/2
Factor -5*t**2/6 + 445*t/2 + 1345/3.
-5*(t - 269)*(t + 2)/6
What is p in 5*p**4 + 250*p**3 + 2565*p**2 - 14580*p = 0?
-27, 0, 4
Factor 10*s**2/7 - 4*s/7 - 78/7.
2*(s - 3)*(5*s + 13)/7
What is u in 16*u**4/9 + 28*u**3/9 - 56*u**2/9 + 4*u/3 = 0?
-3, 0, 1/4, 1
Find h such that 2*h**4/5 - 8*h**3/5 - 10*h**2 + 176*h/5 - 24 = 0.
-5, 1, 2, 6
Determine x so that -x**3 + 758*x**2/3 + 4123*x/3 + 430 = 0.
-5, -1/3, 258
Find a, given that a**2/7 - 3*a/7 - 40/7 = 0.
-5, 8
Determine q so that -q**2 - 392*q - 38416 = 0.
-196
Let -2*g**2/11 - 672*g/11 = 0. What is g?
-336, 0
Determine r, given that -4*r**2 + 156*r + 504 = 0.
-3, 42
Find g such that -6*g**4/7 - 342*g**3/7 - 4332*g**2/7 + 15480*g/7 - 10800/7 = 0.
-30, 1, 2
Factor l**4/2 + 68*l**3 - 420*l**2 + 848*l - 568.
(l - 2)**3*(l + 142)/2
Find n, given that -4*n**5/7 + 4*n**4/7 + 36*n**3/7 - 20*n**2/7 - 64*n/7 + 48/7 = 0.
-2, 1, 3
Factor 2*f**5/9 - 16*f**4/9 + 16*f**3/3 - 64*f**2/9 + 32*f/9.
2*f*(f - 2)**4/9
Determine b so that -5*b**2 + 20*b + 25 = 0.
-1, 5
Let -2*r**2 + 436*r - 23762 = 0. Calculate r.
109
Factor 6*c**2/11 - 162*c/11 + 60.
6*(c - 22)*(c - 5)/11
Suppose -845*y**3 + 518245*y**2 - 159400*y + 12260 = 0. What is y?
2/13, 613
Solve -4*m**4 + 80*m**3 + 576*m**2 + 1216*m + 832 = 0 for m.
-2, 26
Let -3*i**2/4 - 177*i/2 = 0. What is i?
-118, 0
Factor -5*x**2/4 + 1385*x/4.
-5*x*(x - 277)/4
Determine t, given that 3*t**2 + 69*t - 7560 = 0.
-63, 40
Factor -5*a**3 + 110*a**2 + 840*a.
-5*a*(a - 28)*(a + 6)
Factor 4*s**3/7 + 48*s**2/7 - 76*s.
4*s*(s - 7)*(s + 19)/7
Find c such that 5*c**2 + 160*c - 340 = 0.
-34, 2
Solve 40*r**4/3 - 53*r**3/9 - 118*r**2/9 + 53*r/9 - 2/9 = 0.
-1, 1/24, 2/5, 1
Factor p**3/3 - 163*p**2/3 + 8791*p/3 - 52215.
(p - 59)**2*(p - 45)/3
Factor -f**3 + 10*f**2 - 16*f.
-f*(f - 8)*(f - 2)
Let 4*a**4/7 + 19*a**3/7 + 22*a**2/7 = 0. What is a?
-11/4, -2, 0
Factor t**3/6 - 5*t**2/6 - 11*t/3 - 8/3.
(t - 8)*(t + 1)*(t + 2)/6
Factor -s**3/9 + 2*s**2/3 - 8*s/9.
-s*(s - 4)*(s - 2)/9
Let -h**4/4 + 17*h**3/4 - 37*h**2/2 + 7*h + 30 = 0. What is h?
-1, 2, 6, 10
Suppose 3*h**2 - 36*h + 33 = 0. What is h?
1, 11
Determine h so that -705*h**4 + 36972*h**3 - 492816*h**2 + 211536*h - 8112 = 0.
2/47, 2/5, 26
Suppose 15*t**4 + 20*t**3 - 245*t**2 - 390*t + 360 = 0. Calculate t.
-3, 2/3, 4
Solve x**5/6 - x**4 - 8*x**3/3 - x**2/3 + 5*x/2 + 4/3 = 0 for x.
-1, 1, 8
Solve c**2/2 - 5*c - 39/2 = 0.
-3, 13
Let n**4 - 101*n**3 + 1242*n**2 + 137540*n - 3601432 = 0. Calculate n.
-37, 46
Let t**2/6 + 35*t/3 + 23/2 = 0. Calculate t.
-69, -1
Factor k**2/3 - 142*k/3 - 143/3.
(k - 143)*(k + 1)/3
Factor 5*u**4 - 720*u**3.
5*u**3*(u - 144)
Factor -4*o**4 - 20*o**3 + 132*o**2 - 108*o.
-4*o*(o - 3)*(o - 1)*(o + 9)
Find z such that 2*z**5/3 - 16*z**4 + 116*z**3 - 776*z**2/3 + 230*z - 72 = 0.
1, 9, 12
Factor 2*p**3/13 - 12*p**2/13 - 14*p/13.
2*p*(p - 7)*(p + 1)/13
Factor -4*u**3 - 68*u**2 + 1472*u - 2640.
-4*(u - 11)*(u - 2)*(u + 30)
Suppose -4*i**4/7 + 20*i**3/7 + 24*i**2/7 = 0. What is i?
-1, 0, 6
Factor -w**5 - 189*w**4 - 9022*w**3 - 8460*w**2 + 17672*w.
-w*(w - 1)*(w + 2)*(w + 94)**2
Solve -d**5/6 + 895*d**4/6 - 595*d**3 + 2675*d**2/3 - 3565*d/6 + 297/2 = 0 for d.
1, 891
Factor -u**4/3 - 22*u**3 + 92*u**2 - 280*u/3.
-u*(u - 2)**2*(u + 70)/3
Solve 3*o**3 - 303*o**2 + 594*o = 0 for o.
0, 2, 99
Solve -3*j**3 + 36*j - 48 = 0.
-4, 2
Find f such that f**5 + 57*f**4 + 360*f**3 + 500*f**2 = 0.
-50, -5, -2, 0
Factor -5*k**2 + 55*k - 50.
-5*(k - 10)*(k - 1)
Find t such that -20*t**4/3 + 3968*t**3/3 - 87648*t**2 + 1951488*t - 766656 = 0.
2/5, 66
Factor -4*h**4 + 388*h**3 - 1508*h**2 + 1868*h - 744.
-4*(h - 93)*(h - 2)*(h - 1)**2
Factor -9*j**3/8 - 20*j**2 - 117*j/8 + 17/4.
-(j + 1)*(j + 17)*(9*j - 2)/8
Determine v so that 5*v**4 + 2