*3/6 - 7*n**2/2 = 0. Calculate n.
0, 21
Factor -o**4/4 - 23*o**3/4 - 81*o**2/2 - 85*o - 50.
-(o + 1)*(o + 2)*(o + 10)**2/4
Let -22*c**4/5 + 4*c**3/5 = 0. What is c?
0, 2/11
Let -p**4 - 37*p**3/4 - 87*p**2/4 - 27*p/2 = 0. What is p?
-6, -9/4, -1, 0
Factor 3*a**4 + 3*a**3.
3*a**3*(a + 1)
Factor 1317*u**2 - 54*u.
3*u*(439*u - 18)
Determine m, given that -3*m**4 - 1257*m**3 - 131040*m**2 + 132300*m = 0.
-210, 0, 1
Factor 3*a**4 - 10182*a**3.
3*a**3*(a - 3394)
Solve 3*l**2/4 - 3219*l + 3453987 = 0 for l.
2146
What is l in 3*l**3/4 + 129*l**2/2 - 1071*l/4 + 405/2 = 0?
-90, 1, 3
Determine g so that -3*g**4/2 + 72*g**3 - 1143*g**2 + 6396*g - 10647/2 = 0.
1, 13, 21
Factor -90*j**3 - 65*j**2 - 10*j.
-5*j*(2*j + 1)*(9*j + 2)
Suppose 2*l**2/3 - 40*l/3 + 200/3 = 0. Calculate l.
10
Factor 2*u**4/5 + 18*u**3/5 + 12*u**2/5 - 32*u/5.
2*u*(u - 1)*(u + 2)*(u + 8)/5
Factor p**2/4 + 544*p + 295936.
(p + 1088)**2/4
Factor -3*l**4 + 93*l**3 - 666*l**2 - 960*l + 1536.
-3*(l - 16)**2*(l - 1)*(l + 2)
Suppose v**2/4 + 101*v/2 + 10201/4 = 0. Calculate v.
-101
Solve 2*w**2/25 + 2*w/25 - 84/25 = 0.
-7, 6
Find n, given that -n**3/4 + 35*n**2/4 + 125*n/4 - 9375/4 = 0.
-15, 25
Determine n so that -2*n**3/15 + 10*n**2 + 2*n/15 - 10 = 0.
-1, 1, 75
Factor -3*h**3/7 + 3564*h**2/7 - 3561*h/7.
-3*h*(h - 1187)*(h - 1)/7
Suppose k**4 - 13*k**3 + 21*k**2 + 85*k + 50 = 0. What is k?
-1, 5, 10
Find l, given that -l**2/6 + 509*l/6 - 253 = 0.
3, 506
Find d, given that d**3 - 12*d**2 - d + 12 = 0.
-1, 1, 12
Factor 5*u**2 + 2035*u - 4090.
5*(u - 2)*(u + 409)
Factor -2*s**2/5 + 214*s/5 + 216/5.
-2*(s - 108)*(s + 1)/5
Solve -2*w**2/7 + 80*w + 1128/7 = 0 for w.
-2, 282
Suppose -3*j**4 - 1572*j**3 - 199548*j**2 + 1672608*j - 3396288 = 0. What is j?
-266, 4
Factor l**3/3 - 13*l**2/3 - 10*l.
l*(l - 15)*(l + 2)/3
Let 2*m**2 - 118*m + 116 = 0. Calculate m.
1, 58
Solve 16*t**4 + 1084*t**3 - 272*t**2 = 0 for t.
-68, 0, 1/4
Factor 4*j**3 + 68*j**2 - 164*j - 228.
4*(j - 3)*(j + 1)*(j + 19)
Factor -4*y**2 - 2432*y + 9792.
-4*(y - 4)*(y + 612)
Factor -4*a**3/5 - 88*a**2/5 + 28*a + 1104/5.
-4*(a - 4)*(a + 3)*(a + 23)/5
Factor -3*p**3 + 27*p**2 - 24*p.
-3*p*(p - 8)*(p - 1)
Solve j**4 + 5*j**3 - 13*j**2 + 7*j = 0.
-7, 0, 1
Factor -2*m**5 + 58*m**4 + 556*m**3 + 1332*m**2 + 54*m - 1998.
-2*(m - 37)*(m - 1)*(m + 3)**3
Factor 2*q**3 + 20*q**2 - 22*q.
2*q*(q - 1)*(q + 11)
Let -6*r**4/5 - 18*r**3 + 102*r**2/5 + 18*r - 96/5 = 0. What is r?
-16, -1, 1
Factor 5*v**5 + 320*v**4 + 7670*v**3 + 81600*v**2 + 325125*v.
5*v*(v + 15)**2*(v + 17)**2
Factor -5*n**4 + 655*n**3 + 1325*n**2 + 665*n.
-5*n*(n - 133)*(n + 1)**2
Factor 2*f**2 - 18*f - 72.
2*(f - 12)*(f + 3)
Factor -5*p**2 + 8080*p + 8085.
-5*(p - 1617)*(p + 1)
Determine d, given that d**5/9 + 23*d**4/9 + 82*d**3/9 + 118*d**2/9 + 77*d/9 + 19/9 = 0.
-19, -1
Factor h**2/3 + 13*h/3 - 10.
(h - 2)*(h + 15)/3
Solve -5*s**4 + 10*s**3 + 120*s**2 - 160*s - 640 = 0.
-4, -2, 4
What is a in -8*a**4/3 + 4*a**3/3 + 404*a**2/3 + 584*a/3 + 64 = 0?
-6, -1, -1/2, 8
Factor -2*b**3/5 + 32*b**2/5.
-2*b**2*(b - 16)/5
Factor 63*f**2 + 187*f - 6.
(f + 3)*(63*f - 2)
Factor -3*o**2/4 - 93*o/4 - 225/2.
-3*(o + 6)*(o + 25)/4
Suppose 2*d**5/5 - 32*d**4/5 + 84*d**3/5 - 16*d**2 + 26*d/5 = 0. Calculate d.
0, 1, 13
Find j, given that 3*j**2/4 - 345*j/2 = 0.
0, 230
Factor -t**3/2 + 29*t**2 + 119*t/2 + 30.
-(t - 60)*(t + 1)**2/2
What is o in -3*o**5/7 - 6*o**4/7 + 6*o**3/7 + 12*o**2/7 - 3*o/7 - 6/7 = 0?
-2, -1, 1
Suppose -549*h**2 - 4404*h - 96 = 0. What is h?
-8, -4/183
Determine k so that -5*k**2 + 255*k - 250 = 0.
1, 50
Factor 2*m**4 + 36*m**3 + 162*m**2 + 224*m + 96.
2*(m + 1)**2*(m + 4)*(m + 12)
Determine p, given that -p**2/3 - 2224*p/3 - 1236544/3 = 0.
-1112
Suppose 2*l**2/9 + 76*l/9 + 74/9 = 0. What is l?
-37, -1
Find z, given that -5*z**2/3 - 9355*z = 0.
-5613, 0
Factor 5*c**2 + 775*c + 1530.
5*(c + 2)*(c + 153)
Factor 2*r**2/7 + 8*r - 120/7.
2*(r - 2)*(r + 30)/7
Solve -2*u**5/5 - u**4/5 + 3*u**3/5 = 0 for u.
-3/2, 0, 1
Determine j so that 2*j**4 + 24*j**3 = 0.
-12, 0
Factor -r**3/6 - 23*r**2/6 + 41*r/3 + 52/3.
-(r - 4)*(r + 1)*(r + 26)/6
Factor -4*t**4 - 24*t**3 - 32*t**2 + 24*t + 36.
-4*(t - 1)*(t + 1)*(t + 3)**2
Determine x, given that -x**3 + 30*x**2 - 225*x = 0.
0, 15
Factor -4*i**3/7 + 20*i**2 + 152*i/7 - 288/7.
-4*(i - 36)*(i - 1)*(i + 2)/7
Factor 14*m**4 - m**3 - 14*m**2 + m.
m*(m - 1)*(m + 1)*(14*m - 1)
Suppose -2*o**3/13 + 18*o**2/13 - 54*o/13 + 54/13 = 0. What is o?
3
Find k, given that 2*k**4 + 8*k**3 + 8*k**2 = 0.
-2, 0
Find u, given that -15*u**4/7 - 3*u**3 + 33*u**2/7 + 3*u - 18/7 = 0.
-2, -1, 3/5, 1
Factor -2*x**4/9 - 4*x**3/3 + 16*x**2/3 + 448*x/9 + 256/3.
-2*(x - 6)*(x + 4)**3/9
Let -3*p**4 + 27*p**3 + 3*p**2 - 27*p = 0. What is p?
-1, 0, 1, 9
Determine p, given that -3*p**5 + 60*p**4 - 381*p**3 + 1032*p**2 - 1236*p + 528 = 0.
1, 2, 4, 11
Let -2*t**3 + 18*t**2 - 48*t + 32 = 0. Calculate t.
1, 4
Let -j**3/2 - 614*j**2 - 375765*j/2 + 378225 = 0. Calculate j.
-615, 2
Factor -2*j**3/9 + 14*j**2/9 - 4*j/3.
-2*j*(j - 6)*(j - 1)/9
Factor -2*p**4/7 - 4*p**3 + 142*p**2/7 + 240*p - 7200/7.
-2*(p - 5)**2*(p + 12)**2/7
Solve -16*a**5/5 - 108*a**4/5 + 576*a**3/5 + 2168*a**2/5 - 10416*a/5 + 1764 = 0 for a.
-7, 5/4, 3
Determine k, given that -3*k**5/4 - 9*k**4/4 + 6*k**3 + 18*k**2 - 12*k - 36 = 0.
-3, -2, 2
Let -108*b**4/7 + 318*b**3/7 + 148*b**2/7 - 362*b/7 - 12 = 0. What is b?
-1, -2/9, 7/6, 3
Determine a so that -a**5/6 - 2*a**4 + a**3/6 + 2*a**2 = 0.
-12, -1, 0, 1
Find l, given that 3*l**4 - 3*l**3 = 0.
0, 1
Find z such that 5*z**2/4 - 785*z/4 + 775/2 = 0.
2, 155
Find n such that n**2 + 1192*n + 355216 = 0.
-596
Determine a so that -a**4/6 - 25*a**3/6 - 19*a**2/6 + 39*a/2 - 12 = 0.
-24, -3, 1
Factor i**3 + 14*i**2 + 65*i + 100.
(i + 4)*(i + 5)**2
Find y, given that -2*y**4 + 160*y**3 - 3642*y**2 + 17612*y - 21904 = 0.
2, 4, 37
Find y such that 2*y**4/9 + 466*y**3/9 + 2296*y**2/9 + 3656*y/9 + 608/3 = 0.
-228, -2, -1
Factor 4*b**3/3 + 4*b**2 - 60*b - 700/3.
4*(b - 7)*(b + 5)**2/3
Let -2*u**2/3 - 92*u/9 + 64/9 = 0. What is u?
-16, 2/3
Find r, given that -3*r**5/7 - 3*r**4/7 + 18*r**3/7 = 0.
-3, 0, 2
Solve -q**3/2 - 3*q**2 + 9*q/2 + 7 = 0.
-7, -1, 2
Factor 6*a**2/7 + 2784*a/7 + 322944/7.
6*(a + 232)**2/7
Determine q so that -2*q**2 - 474*q = 0.
-237, 0
Determine j so that -j**4/6 - 7*j**3/6 + j**2/6 + 7*j/6 = 0.
-7, -1, 0, 1
What is q in -2*q**3/5 - 12*q**2/5 + 126*q/5 - 216/5 = 0?
-12, 3
Factor i**3/9 - 8*i**2/3 + 16*i.
i*(i - 12)**2/9
Find a, given that 4*a**4/9 - 8*a**3 + 68*a**2/9 = 0.
0, 1, 17
Let -2*v**3/13 + 30*v**2 + 4896*v/13 + 14904/13 = 0. What is v?
-6, 207
Suppose 20*f**5 + 48*f**4 - 52*f**3 - 192*f**2 - 112*f = 0. Calculate f.
-2, -7/5, -1, 0, 2
Suppose 14*n**3 - 160*n**2 + 402*n - 144 = 0. What is n?
3/7, 3, 8
Suppose a**3/7 + 15*a**2/7 - 18*a/7 - 32/7 = 0. Calculate a.
-16, -1, 2
Factor u**4/3 - 119*u**3/3 - 1009*u**2/3 - 889*u/3.
u*(u - 127)*(u + 1)*(u + 7)/3
Solve 126*j**3/5 + 22056*j**2/5 + 962054*j/5 - 276676/5 = 0 for j.
-263/3, 2/7
Solve -3*m**2/5 - 1758*m/5 - 257547/5 = 0.
-293
Suppose -2*l**2/11 + 112*l/11 - 1568/11 = 0. What is l?
28
Factor 4*a**4 + 24*a**3 - 396*a**2 + 704*a - 336.
4*(a - 6)*(a - 1)**2*(a + 14)
Factor -292*f**3/5 + 112*f**2 - 244*f/5 - 24/5.
-4*(f - 1)**2*(73*f + 6)/5
Solve -2*d**2/7 - 2244*d/7 - 629442/7 = 0 for d.
-561
Find j, given that -24*j**5 - 116*j**4 - 156*j**3 - 76*j**2 - 12*j = 0.
-3, -1, -1/2, -1/3, 0
Determine f so that -2*f**4 + 5*f**3/3 + 23*f**2/3 + 7*f/3 - 5/3 = 0.
-1, 1/3, 5/2
Suppose -2*s**4/5 - 92*s**3/5 - 498*s**2/5 + 2576*s - 7840 = 0. What is s?
-28, 5
Let -w**2 - 108*w + 109 = 0. What is w?
-109, 1
Factor q**3/4 + 81*q**2/4 + 2187*q/4 + 19683/4.
(q + 27)**3/4
Find w such that w**3/4 - 15*w**2/4 + 125 = 0.
-5, 10
Factor n**4/3 - 136*n**3/3 + 2024*n**2 - 84640*n/3 - 194672/3.
(n - 46)**3*(n + 2)/3
Factor p**2 - 130*p - 264.
(p - 132)*(p + 2)
Suppose h**2/2 - 9*h/2 - 5 = 0. Calculate h.
-1, 10
Factor -5*j**2 - 25*j + 30.
-5*(j - 1)*(j + 6)
Solve 4*l**2 - 23344*l + 34058896 = 0 for l.
2918
Determine j, given that j**3/4 - 147*j**2/4 = 0.
0, 147
Factor -22*t**2 - 4154*t + 756.
-2*(t + 189)*(11*t - 2)
Solve f**3/4 - 19*f**2/4 + 19*f/2 + 130 = 0.
-4, 10, 13
Factor 414*c**2 - 1232*c - 30.
2*(c - 3)*(207*c + 5)
Factor -k**2 + 2