 + 75*q**3 - 46*q**2 + 8*q.
q*(q - 4)*(q - 1)**2*(7*q - 2)
Let 3*y**2 - 2931*y - 2934 = 0. Calculate y.
-1, 978
Let -4*i**4/7 - 8*i**3/7 + 60*i**2/7 = 0. Calculate i.
-5, 0, 3
What is i in 2*i**2 + 298*i - 2512 = 0?
-157, 8
Determine u so that -u**2 - 4*u + 32 = 0.
-8, 4
Find v, given that -2*v**2/7 + 908*v/7 - 906/7 = 0.
1, 453
Suppose -333*a**2 - 2991*a + 54 = 0. What is a?
-9, 2/111
Factor -3*g**4 - 261*g**3 - 5805*g**2 - 5547*g.
-3*g*(g + 1)*(g + 43)**2
Factor -3*d**5 - 519*d**4 - 21657*d**3 + 68115*d**2 - 69168*d + 23232.
-3*(d - 1)**3*(d + 88)**2
Factor -2*w**4/9 + 46*w**3/9 - 74*w**2/3 + 34*w.
-2*w*(w - 17)*(w - 3)**2/9
Factor -2*p**2 - 32*p + 34.
-2*(p - 1)*(p + 17)
Solve 4*n**5/5 - 74*n**4/5 + 282*n**3/5 + 112*n**2 + 40*n = 0 for n.
-1, -1/2, 0, 10
Solve -5*g**3 + 190*g**2 + 400*g = 0 for g.
-2, 0, 40
Factor -3*p**5 - 15*p**4 + 162*p**3 - 372*p**2 + 264*p.
-3*p*(p - 2)**3*(p + 11)
Let -d**5/3 + 2*d**4 + 8*d**3 - 224*d**2/3 + 128*d = 0. Calculate d.
-6, 0, 4
Factor 5*q**4 - 100*q**3 + 580*q**2 - 320*q - 3840.
5*(q - 8)**2*(q - 6)*(q + 2)
Factor -g**2/8 + 1022*g - 2088968.
-(g - 4088)**2/8
Factor p**3/3 + 52*p**2/3 + 185*p.
p*(p + 15)*(p + 37)/3
Solve -5*p**2 + 45*p - 40 = 0.
1, 8
Factor 3*v**5 + 6*v**4 - 3*v**3 - 6*v**2.
3*v**2*(v - 1)*(v + 1)*(v + 2)
Factor 4*q**4 - 404*q**3 - 824*q**2.
4*q**2*(q - 103)*(q + 2)
Suppose 35*s**3 - 75*s**2 + 40*s = 0. What is s?
0, 1, 8/7
Factor 2*a**3 - 2*a**2 - 8*a + 8.
2*(a - 2)*(a - 1)*(a + 2)
Factor -2*o**2 + 56*o - 104.
-2*(o - 26)*(o - 2)
Factor l**2 - l.
l*(l - 1)
Solve -f**5/3 + 2*f**3/3 - f/3 = 0 for f.
-1, 0, 1
Find k, given that -110*k**4 + 544*k**3 - 770*k**2 + 408*k - 72 = 0.
2/5, 6/11, 1, 3
Suppose 2*w**5/3 + 8*w**4/3 - 18*w**3 + 76*w**2/3 - 32*w/3 = 0. What is w?
-8, 0, 1, 2
Determine g so that 5*g**3 - 355*g**2 - 3530*g - 5600 = 0.
-7, -2, 80
Let -r**2/2 + 2*r + 5/2 = 0. Calculate r.
-1, 5
Factor -5*y**3 - 5*y**2 + 30*y.
-5*y*(y - 2)*(y + 3)
Solve -2*v**3/3 + 58*v**2/3 + 122*v/3 + 62/3 = 0.
-1, 31
Suppose p**4/6 + p**3/6 - 3*p**2 - 8*p/3 + 16/3 = 0. Calculate p.
-4, -2, 1, 4
Suppose -2*m**2/5 - 64*m/5 + 66/5 = 0. What is m?
-33, 1
Suppose 2*h**4/17 + 46*h**3/17 + 378*h**2/17 + 1274*h/17 + 1372/17 = 0. Calculate h.
-7, -2
Factor -4*n**5 + 56*n**4 - 96*n**3 - 8*n**2 + 100*n - 48.
-4*(n - 12)*(n - 1)**3*(n + 1)
Factor 32*v**3 + 1076*v**2 + 1640*v - 768.
4*(v + 2)*(v + 32)*(8*v - 3)
Solve 45*j**5 - 370*j**4 + 665*j**3 + 1220*j**2 - 3540*j + 720 = 0.
-2, 2/9, 3, 4
What is y in 2*y**4/9 - 20*y**3/9 - 2*y**2/3 + 56*y - 120 = 0?
-5, 3, 6
Determine k so that -2*k**4 + 8*k**3 + 38*k**2 - 212*k + 240 = 0.
-5, 2, 3, 4
Suppose -3*d**5 - 1947*d**4 - 312969*d**3 + 950619*d**2 - 954528*d + 318828 = 0. Calculate d.
-326, 1
Factor s**4/3 + s**3 - 3*s**2 - 23*s/3 - 4.
(s - 3)*(s + 1)**2*(s + 4)/3
What is a in -a**2/4 + 25*a + 749/4 = 0?
-7, 107
Find i, given that -5*i**3 + 40*i**2 - 5*i - 210 = 0.
-2, 3, 7
Solve 7*w**5 - 145*w**4 + 350*w**3 - 140*w**2 - 72*w = 0 for w.
-2/7, 0, 1, 2, 18
What is d in -10*d**4/9 - 34*d**3/9 - 32*d**2/9 - 8*d/9 = 0?
-2, -1, -2/5, 0
Let f**3/3 - 80*f**2 + 6400*f - 512000/3 = 0. Calculate f.
80
Factor -4*o**4 + 28*o**3 - 68*o**2 + 68*o - 24.
-4*(o - 3)*(o - 2)*(o - 1)**2
Factor 2*f**5/5 + 2*f**4/5 - 12*f**3/5 + 4*f**2/5 + 2*f - 6/5.
2*(f - 1)**3*(f + 1)*(f + 3)/5
Factor -4*x**2/9 + 712*x/9 - 31684/9.
-4*(x - 89)**2/9
Factor -2*h**4/15 + 4*h**3/15 + 14*h**2/15 + 8*h/15.
-2*h*(h - 4)*(h + 1)**2/15
Let 23805*s**3 + 144210*s**2 + 8300*s + 120 = 0. What is s?
-6, -2/69
Factor 5*f**2 - 85*f - 550.
5*(f - 22)*(f + 5)
Factor -15*l**2 + 897*l - 708.
-3*(l - 59)*(5*l - 4)
Find t, given that 2*t**2/3 + 1136*t/3 + 161312/3 = 0.
-284
Determine s so that -9*s**3 - 687*s**2/2 + 1563*s + 3795/2 = 0.
-253/6, -1, 5
Factor -p**2/4 - p.
-p*(p + 4)/4
Factor -5*n**5 - 20*n**4 + 55*n**3 - 30*n**2.
-5*n**2*(n - 1)**2*(n + 6)
Solve -4*k**4/7 + 568*k**3/7 - 564*k**2/7 = 0 for k.
0, 1, 141
Suppose -265302*i**3/5 - 62424*i**2/5 - 4896*i/5 - 128/5 = 0. Calculate i.
-4/51
What is k in 2*k**3 - 18*k**2 + 16*k = 0?
0, 1, 8
Factor 5*j**2/3 - 1120*j/3 - 1520.
5*(j - 228)*(j + 4)/3
Solve -48*p**2 - 124*p + 60 = 0.
-3, 5/12
Suppose 2*p**2/11 - 74*p/11 - 420/11 = 0. What is p?
-5, 42
Factor 2*h**2/7 - 16*h/7 + 30/7.
2*(h - 5)*(h - 3)/7
Find l such that 45*l**4 + 1385*l**3 + 1040*l**2 - 300*l = 0.
-30, -1, 0, 2/9
Factor -r**4/10 - r**3/10 + r**2/10 + r/10.
-r*(r - 1)*(r + 1)**2/10
Solve u**3/9 + 23*u**2/9 + 107*u/9 + 85/9 = 0 for u.
-17, -5, -1
Let 4*p**4 + 12*p**3 - 16*p**2 - 48*p = 0. What is p?
-3, -2, 0, 2
Find i, given that 3*i**2 + 918*i + 915 = 0.
-305, -1
Let -4*n**4 + 32*n**3 + 36*n**2 - 432*n - 432 = 0. What is n?
-3, -1, 6
Factor i**2 - 14*i + 48.
(i - 8)*(i - 6)
Suppose -2*r**3/9 - 1432*r**2/9 + 2*r/9 + 1432/9 = 0. Calculate r.
-716, -1, 1
What is p in 4*p**3/3 - 152*p**2/3 - 316*p/3 - 160/3 = 0?
-1, 40
Solve -4*j**5/3 - j**4/3 + 12*j**3 + 25*j**2/3 - 44*j/3 - 4 = 0.
-2, -1/4, 1, 3
Let 20*r**4/7 - 1032*r**3/7 + 604*r**2/7 + 408*r/7 = 0. What is r?
-2/5, 0, 1, 51
Solve -4*l**3/5 - 204*l**2/5 + 328*l/5 + 1248 = 0 for l.
-52, -5, 6
Let -2*z**5/7 - 10*z**4/7 + 192*z**3/7 + 88*z**2/7 - 2176*z/7 + 384 = 0. What is z?
-12, -4, 2, 7
Factor u**4/2 - 29*u**3/2 - 61*u**2/2 - 31*u/2.
u*(u - 31)*(u + 1)**2/2
Suppose -2*g**4/7 - 4*g**3/7 + 2*g**2/7 + 4*g/7 = 0. Calculate g.
-2, -1, 0, 1
Factor -2*w**3/7 - 78*w**2/7 - 114*w - 722/7.
-2*(w + 1)*(w + 19)**2/7
Solve 2*o**2/13 + 20*o/13 = 0 for o.
-10, 0
Solve 3*f**5 + 18*f**4 + 6*f**3 - 60*f**2 - 81*f - 30 = 0 for f.
-5, -1, 2
Let -l**4 - 2200*l**3 - 1214392*l**2 - 4831200*l - 4822416 = 0. Calculate l.
-1098, -2
Factor -5*k**4 + 15*k**3 + 45*k**2 + 25*k.
-5*k*(k - 5)*(k + 1)**2
Solve s**4/3 - 8*s**3/3 + 8*s**2/3 + 32*s/3 - 16 = 0.
-2, 2, 6
Determine k, given that 2*k**3/3 + 10*k**2/3 + 4*k = 0.
-3, -2, 0
Determine x so that -4*x**5 + 20*x**4/3 + 76*x**3/3 - 212*x**2/3 + 176*x/3 - 16 = 0.
-3, 2/3, 1, 2
Let -5*w**2 + 170*w - 1445 = 0. What is w?
17
Let 10*k**4 + 205*k**3/2 - 85*k**2 - 55*k/2 = 0. What is k?
-11, -1/4, 0, 1
Solve d**2/3 - 38*d/3 - 13 = 0.
-1, 39
Factor 2*x**3 - 170*x**2 + 3696*x - 3528.
2*(x - 42)**2*(x - 1)
Factor y**2/4 - y/2 - 2.
(y - 4)*(y + 2)/4
Let 2*u**2/5 + 376*u/5 - 386 = 0. Calculate u.
-193, 5
Determine z, given that -z**4/5 + 7*z**3/5 + 17*z**2/5 + 9*z/5 = 0.
-1, 0, 9
Determine q so that q**2/6 + q/3 - 4 = 0.
-6, 4
Factor -4*i**2 + 16*i + 48.
-4*(i - 6)*(i + 2)
Factor -i**4/4 - 25*i**3 - 144*i**2 - 284*i - 188.
-(i + 2)**3*(i + 94)/4
Determine b so that b**4 - 2*b**3 - 4*b**2 + 2*b + 3 = 0.
-1, 1, 3
Factor 3*r**3/5 + 267*r**2/5 + 1161*r - 1215.
3*(r - 1)*(r + 45)**2/5
Factor r**2/10 - 2*r/5 - 21/10.
(r - 7)*(r + 3)/10
Solve -d**5/6 - 8*d**4/3 - 21*d**3/2 + 8*d**2/3 + 32*d/3 = 0 for d.
-8, -1, 0, 1
Suppose 98*w**3/9 + 728*w**2/9 + 1352*w/9 = 0. Calculate w.
-26/7, 0
Find p, given that 5*p**4 - 55*p**2 - 90*p - 40 = 0.
-2, -1, 4
Let -22*p**3 - 54*p**2 - 8*p + 24 = 0. Calculate p.
-2, -1, 6/11
Factor j**2/2 - 3*j/2 - 2.
(j - 4)*(j + 1)/2
Let 3*a**4 + 39*a**3 + 54*a**2 - 480*a + 384 = 0. What is a?
-8, 1, 2
Factor 4*g**3/5 + 28*g**2 - 4*g/5 - 28.
4*(g - 1)*(g + 1)*(g + 35)/5
Factor g**4/8 - 169*g**2 + 57122.
(g - 26)**2*(g + 26)**2/8
Solve 4205*w**5 + 147465*w**4 + 291890*w**3 + 158370*w**2 + 9905*w + 165 = 0 for w.
-33, -1, -1/29
Factor 3*s**4/5 + 24*s**3 + 330*s**2 + 1800*s + 3375.
3*(s + 5)**2*(s + 15)**2/5
What is f in 4*f**2 + 292*f + 1360 = 0?
-68, -5
Find v, given that -2*v**2/13 - 14*v/13 - 20/13 = 0.
-5, -2
Suppose -f**4/2 + 3*f**3/2 - f**2/2 - 3*f/2 + 1 = 0. What is f?
-1, 1, 2
What is s in -3*s**3 - 42*s**2 = 0?
-14, 0
Let -3*b**2 - 630*b - 33075 = 0. What is b?
-105
Let p**5/8 - 583*p**4/8 + 14328*p**3 - 981504*p**2 + 6193152*p = 0. What is p?
0, 7, 192
Factor -b**3/2 - 157*b**2/2 + 80*b + 158.
-(b - 2)*(b + 1)*(b + 158)/2
Find f such that -f**4/2 + 33*f**3/2 - 109*f**2 - 450*f - 324 = 0.
-2, -1, 18
Find n, given that -2*n**5/9 + 124*n**4/9 + 386*n**3/9 + 260*n**2/9 = 0.
-2, -1, 0, 65
Factor -3*s**5 + 6*s**4 + 21*s**3 + 12*s**2.
-3*s**2*(s - 4)*(s + 1)**2
Find x, given that 2*x**2/3 + 328*x/3 + 13448/3 = 0.
-82
Let 4*i**2/3 + 248*i/3 - 84 = 0. Calculate i.
-63, 1
Solve -3*k**3 + 57*k**2 + 123*k + 63 = 0 for k.
-1, 21
Solve w**5 - 7*