68*u.
4*u*(u - 17)
Factor 5*y**3 + 40*y**2 + 35*y.
5*y*(y + 1)*(y + 7)
Suppose -44*j**3 - 4*j**2 + 544*j - 720 = 0. Calculate j.
-45/11, 2
Solve -5*r**2 + 465*r - 460 = 0.
1, 92
Let -4*b**2 + 86*b - 42 = 0. What is b?
1/2, 21
Factor 15*y**3 + 310*y**2 + 195*y - 100.
5*(y + 1)*(y + 20)*(3*y - 1)
Factor -27*x**2 + 79*x + 6.
-(x - 3)*(27*x + 2)
Factor 5*v**2 + 195*v + 190.
5*(v + 1)*(v + 38)
Let -i**3/2 + 5*i**2/2 + 57*i/2 + 99/2 = 0. What is i?
-3, 11
Factor -3*d**5/2 + 9*d**4/2 - 3*d**3 - 3*d**2 + 9*d/2 - 3/2.
-3*(d - 1)**4*(d + 1)/2
What is l in -15*l**3/7 - 33*l**2 + 720*l/7 + 324/7 = 0?
-18, -2/5, 3
Find l such that -l**2 - 21*l - 38 = 0.
-19, -2
Solve 2*f**2/9 - 20*f/3 + 58/9 = 0 for f.
1, 29
Factor 4*v**4 + 6272*v**3 - 6276*v**2.
4*v**2*(v - 1)*(v + 1569)
Solve 5*b**2/4 - 35*b/2 + 245/4 = 0 for b.
7
Find u, given that -2*u**3/7 + 36*u**2/7 - 90*u/7 = 0.
0, 3, 15
Suppose 35*y**5 - 65*y**4 - 815*y**3 + 725*y**2 + 5160*y + 720 = 0. What is y?
-3, -1/7, 4
Suppose z**5 - 25*z**3 + 60*z**2 - 36*z = 0. Calculate z.
-6, 0, 1, 2, 3
Factor -2*d**4 - 16*d**3 - 40*d**2 - 32*d.
-2*d*(d + 2)**2*(d + 4)
Solve -b**4/3 - 7*b**3/3 - 16*b**2/3 - 4*b = 0.
-3, -2, 0
Determine c so that -2*c**2/5 - 432*c/5 + 352 = 0.
-220, 4
Factor 12*m**3 - 75*m**2 + 18*m.
3*m*(m - 6)*(4*m - 1)
Factor 2*s**3/3 + 332*s**2/3 - 2*s/3 - 332/3.
2*(s - 1)*(s + 1)*(s + 166)/3
Factor -i**4/2 + 6*i**3 + 77*i**2/2 + 66*i + 34.
-(i - 17)*(i + 1)*(i + 2)**2/2
Suppose 3*r**3/5 + 93*r**2 - 474*r/5 - 936/5 = 0. Calculate r.
-156, -1, 2
What is q in 4*q**5/3 - 56*q**4/3 - 136*q**3 + 512*q**2/3 + 404*q/3 - 152 = 0?
-6, -1, 1, 19
Factor -t**4 - t**3 + 3*t**2 + t - 2.
-(t - 1)**2*(t + 1)*(t + 2)
Factor 27*s**4 - 5760*s**3 + 305274*s**2 + 205440*s + 34347.
3*(s - 107)**2*(3*s + 1)**2
Factor 7*k**4/3 + 23*k**3/3 + 20*k**2/3 + 4*k/3.
k*(k + 1)*(k + 2)*(7*k + 2)/3
Factor 3*j**2/4 + 81*j/4 + 54.
3*(j + 3)*(j + 24)/4
Factor -2*z**2/5 - 22*z/5 - 36/5.
-2*(z + 2)*(z + 9)/5
Factor 4*c**3 - 32*c**2 - 36*c.
4*c*(c - 9)*(c + 1)
Find o such that o**5 - 50*o**4 + 276*o**3 - 538*o**2 + 443*o - 132 = 0.
1, 3, 44
Determine w so that w**3 + 12*w**2 + 39*w + 28 = 0.
-7, -4, -1
Solve -2*a**3 + 120*a**2 - 216*a - 928 = 0.
-2, 4, 58
Let b**2/7 - 382*b/7 + 381/7 = 0. What is b?
1, 381
Find a, given that -5*a**5 - 155*a**4 - 1640*a**3 - 7020*a**2 - 12960*a - 8640 = 0.
-12, -3, -2
Let -c**4 - 64*c**3 - 1024*c**2 = 0. What is c?
-32, 0
Factor b**2 - 388*b + 37636.
(b - 194)**2
Determine w so that -204*w**3 + 220*w**2 - 16*w = 0.
0, 4/51, 1
Factor 4*l**5/5 - 116*l**4/5 + 172*l**3 - 380*l**2.
4*l**2*(l - 19)*(l - 5)**2/5
Factor -y**4 + 23*y**3 + 76*y**2 + 52*y.
-y*(y - 26)*(y + 1)*(y + 2)
What is z in 3*z**4 + 45*z**3 + 108*z**2 - 12*z - 144 = 0?
-12, -2, 1
Factor 22*x**3 - 18*x**2 - 4*x.
2*x*(x - 1)*(11*x + 2)
Suppose -1805*j**3/2 - 17100*j**2 - 81000*j = 0. What is j?
-180/19, 0
Factor 2*r**3/3 + 8*r**2/3 + 10*r/3 + 4/3.
2*(r + 1)**2*(r + 2)/3
Factor 6*g**5 + 76*g**4 + 264*g**3 + 144*g**2.
2*g**2*(g + 6)**2*(3*g + 2)
Factor 8*o**5/3 + 2*o**4/3 - 2*o**3.
2*o**3*(o + 1)*(4*o - 3)/3
Determine i, given that 2*i**2/17 - 128*i/17 + 1920/17 = 0.
24, 40
What is b in -2*b**3/7 + 2*b/7 = 0?
-1, 0, 1
Suppose 2*o**4 - 10*o**3 - 2*o**2 + 34*o + 24 = 0. Calculate o.
-1, 3, 4
Factor -3*g**2 + 1239*g - 8526.
-3*(g - 406)*(g - 7)
Factor 3*j**3/5 + 18*j**2/5 - 189*j/5 - 1176/5.
3*(j - 8)*(j + 7)**2/5
Suppose 3*n**2/2 - 6*n - 90 = 0. Calculate n.
-6, 10
Factor -29*b**4 - 171*b**3 + 18*b**2.
-b**2*(b + 6)*(29*b - 3)
Factor -5*r**2/6 + 13*r/6 - 4/3.
-(r - 1)*(5*r - 8)/6
Factor 2*f**4 + 18*f**3 + 46*f**2 + 30*f.
2*f*(f + 1)*(f + 3)*(f + 5)
Factor 2*o**3/3 - 14*o/3 - 4.
2*(o - 3)*(o + 1)*(o + 2)/3
Suppose o**4/5 - 4*o**3 + 51*o**2/5 = 0. What is o?
0, 3, 17
Factor -3*d**3/4 + 9*d**2/4 + 27*d/4 + 15/4.
-3*(d - 5)*(d + 1)**2/4
Factor -6*p**4/7 + 138*p**3/7 + 990*p**2/7 + 1566*p/7.
-6*p*(p - 29)*(p + 3)**2/7
Factor 2*p**2/11 + 536*p/11 + 35912/11.
2*(p + 134)**2/11
Solve 2*c**2 - 7366*c = 0 for c.
0, 3683
Suppose 2*k**3 - 52*k**2 - 174*k = 0. Calculate k.
-3, 0, 29
Factor -r**5/3 - 205*r**4/3 - 10195*r**3/3 + 31825*r**2/3 - 32240*r/3 + 10816/3.
-(r - 1)**3*(r + 104)**2/3
Factor -4*p**2/5 + 36*p/5 + 8.
-4*(p - 10)*(p + 1)/5
Solve -8*r**5 + 92*r**4 - 81*r**3/2 - 38*r**2 - 11*r/2 = 0 for r.
-1/4, 0, 1, 11
Let 12*b**3 + 20*b**2 + 4*b - 4 = 0. Calculate b.
-1, 1/3
Factor 3*j**4/4 + 15*j**3/4 - 63*j**2/4 + 69*j/4 - 6.
3*(j - 1)**3*(j + 8)/4
Find m such that -2*m**4/11 - 86*m**3/11 - 80*m**2 + 88*m = 0.
-22, 0, 1
Let 4*z**4 - 44*z**3 + 136*z**2 - 96*z = 0. What is z?
0, 1, 4, 6
Let 1296*r**3 + 55584*r**2 - 6188*r + 172 = 0. What is r?
-43, 1/18
Factor -15*u**4 + 48*u**3 - 39*u**2 + 6*u.
-3*u*(u - 2)*(u - 1)*(5*u - 1)
Factor c**3/4 - 3*c**2/2 + 5*c/4.
c*(c - 5)*(c - 1)/4
Factor -2*w**4/17 + 36*w**3/17 + 168*w**2/17 + 176*w/17.
-2*w*(w - 22)*(w + 2)**2/17
Suppose -5*a**2 + 480*a - 11520 = 0. Calculate a.
48
What is o in -3*o**5 + 36*o**4 + 84*o**3 + 6*o**2 - 81*o - 42 = 0?
-1, 1, 14
Suppose 5*j**2 + 14820*j + 10981620 = 0. Calculate j.
-1482
Let -n**3/5 - 154*n**2/5 + n/5 + 154/5 = 0. Calculate n.
-154, -1, 1
Let -n**5/5 - 49*n**4/5 - 522*n**3/5 + 1924*n**2/5 - 1352*n/5 = 0. Calculate n.
-26, 0, 1, 2
Let -3*t**2/5 - 2514*t - 2633415 = 0. Calculate t.
-2095
Determine v, given that -2*v**2 - 142*v - 1508 = 0.
-58, -13
Factor r**3 - 129*r**2 - r + 129.
(r - 129)*(r - 1)*(r + 1)
Factor 6*j**4/7 - 9*j**3/7 - 36*j**2/7 - 3*j.
3*j*(j + 1)**2*(2*j - 7)/7
Factor 3*x**3/2 + x**2/2.
x**2*(3*x + 1)/2
Determine g, given that -3*g**3/4 + 1293*g**2/2 - 139965*g + 277350 = 0.
2, 430
Factor l**2/8 + 337*l/8 - 255/2.
(l - 3)*(l + 340)/8
Factor 3*l**2/4 - 95*l/4 + 58.
(l - 29)*(3*l - 8)/4
Solve -4*i**2 + 15732*i = 0.
0, 3933
Factor 4*m**4 - 32*m**3 + 92*m**2 - 112*m + 48.
4*(m - 3)*(m - 2)**2*(m - 1)
Suppose 4*h**2 + 52*h + 144 = 0. What is h?
-9, -4
What is g in -2*g**2/11 + 10*g/11 + 12/11 = 0?
-1, 6
Solve o**2 + 1090*o + 297025 = 0 for o.
-545
Factor 8*w**4 - 138*w**3 - 110*w**2 + 36*w.
2*w*(w - 18)*(w + 1)*(4*w - 1)
Suppose 15*a**3 + 20*a**2 - 20*a = 0. Calculate a.
-2, 0, 2/3
Factor a**3/3 - 25*a**2/3 + 200*a/3 - 500/3.
(a - 10)**2*(a - 5)/3
Find b, given that -6*b**4 + 88*b**3 - 348*b**2 + 168*b + 98 = 0.
-1/3, 1, 7
Factor 5*l**2 + 565*l - 570.
5*(l - 1)*(l + 114)
Let -5*v**2 + 1180*v - 5775 = 0. Calculate v.
5, 231
What is n in 5*n**3 - 435*n**2 + 12615*n - 121945 = 0?
29
Let -2*q**5 + 30*q**4 - 189*q**3/2 + 73*q**2 - 33*q/2 = 0. What is q?
0, 1/2, 3, 11
Factor 4*c**3 - 60*c**2 + 248*c - 192.
4*(c - 8)*(c - 6)*(c - 1)
Factor -u**3/5 + 13*u**2/5 - 8*u + 36/5.
-(u - 9)*(u - 2)**2/5
What is f in 2*f**5/9 + 176*f**4/9 + 3104*f**3/9 - 11264*f**2/3 + 8192*f = 0?
-48, 0, 4
What is q in -2*q**3/5 - 66*q**2/5 + 372*q/5 - 304/5 = 0?
-38, 1, 4
Factor -2*o**2/7 + 510*o/7 + 512/7.
-2*(o - 256)*(o + 1)/7
Factor 3*p**3/2 + 55*p**2/2 + 261*p/2 + 81/2.
(p + 9)**2*(3*p + 1)/2
Factor -c**2 + 60*c.
-c*(c - 60)
Factor -1264*k**3 + 1224*k**2 - 276*k - 10.
-2*(2*k - 1)**2*(158*k + 5)
Factor h**2 + 365*h/2 - 183/2.
(h + 183)*(2*h - 1)/2
Let -3*h**5/5 + h**4 + 7*h**3/5 - 9*h**2/5 - 4*h/5 + 4/5 = 0. What is h?
-1, 2/3, 1, 2
Let -2*l**4/5 + 742*l**3/5 + 298*l**2 + 746*l/5 = 0. Calculate l.
-1, 0, 373
Solve 3*s**5 + 162*s**4 + 2490*s**3 + 8256*s**2 + 9675*s + 3750 = 0 for s.
-25, -2, -1
Find z, given that z**2/4 + 173*z/2 + 29929/4 = 0.
-173
Suppose -2*g**2 - 78*g + 80 = 0. Calculate g.
-40, 1
Factor -3*x**2 + 900*x + 1812.
-3*(x - 302)*(x + 2)
Solve t**2/2 - 59*t + 3481/2 = 0.
59
Let 3*l**2 + 6*l = 0. What is l?
-2, 0
Factor -5*f**3 + 1150*f**2 - 64960*f - 134560.
-5*(f - 116)**2*(f + 2)
Factor z**2 + 744*z + 138384.
(z + 372)**2
Determine l so that 2*l**5/11 + 2*l**4/11 - 10*l**3/11 + 6*l**2/11 = 0.
-3, 0, 1
Determine o so that -10*o**5 - 14*o**4 + 6*o**3 + 14*o**2 + 4*o = 0.
-1, -2/5, 0, 1
Find l, given that -3*l**3 - 36*l**2 - 108*l = 0.
-6, 0
Solve -28*u**4 - 1700*u**3 - 26392*u**2 - 17520*u + 7200 = 0.
-30, -1, 2/7
Suppose f**2/9 + 50*f/9 + 64 = 0. What is f?
-32, -18
Factor w**2/5 - 66*w/5 + 413/5.
(w - 59)*(w - 7)/5
Find o such that -3*o**4/2 + 42*o**3 + 801*o**2/2 + 1107*o + 972 = 0.
-3, -2, 36
Factor 15*a**3 + 115*a**2 + 200*a - 80.
5*(a + 4)**2*(3*a - 1)
Factor -r**4/5 + 11*r**3