 255*b**2/2 + 3300*b - 17750.
-5*(b - 10)**2*(b + 71)/2
Solve -r**3/4 - 9*r**2/8 + 4*r - 21/8 = 0 for r.
-7, 1, 3/2
Let t**4 - 30*t**3 - 99*t**2 - 4*t + 132 = 0. Calculate t.
-2, 1, 33
Solve -5*u**3 + 125*u**2 + 605*u - 725 = 0 for u.
-5, 1, 29
Factor 5*k**2 + 95*k - 910.
5*(k - 7)*(k + 26)
Suppose -5*d**3 + 3015*d**2 + 18245*d + 15225 = 0. What is d?
-5, -1, 609
Let 24*k**5 + 135*k**4 + 162*k**3 + 15*k**2 - 36*k = 0. Calculate k.
-4, -1, 0, 3/8
Factor z**2/4 + 25*z/2 + 625/4.
(z + 25)**2/4
Factor -321*r**4 - 1920*r**3 - 3816*r**2 - 2496*r + 48.
-3*(r + 2)**3*(107*r - 2)
Let 10*y**4/11 + 64*y**3/11 - 46*y**2/11 - 28*y/11 = 0. What is y?
-7, -2/5, 0, 1
Factor -2*w**3/9 - 2*w**2/9 + 2*w/9 + 2/9.
-2*(w - 1)*(w + 1)**2/9
Let n**5 + 12*n**4 - 154*n**3 + 160*n**2 + 825*n + 500 = 0. What is n?
-20, -1, 5
Factor 2*s**3 + 736*s**2 + 730*s - 1468.
2*(s - 1)*(s + 2)*(s + 367)
Factor -k**4 - 31*k**3 + k**2 + 31*k.
-k*(k - 1)*(k + 1)*(k + 31)
Find d, given that 2*d**2 - 318*d + 628 = 0.
2, 157
Suppose -3*z**4/2 - 19*z**3/2 - 3*z**2 = 0. What is z?
-6, -1/3, 0
Let 8748*w**4/19 + 7614*w**3/19 + 2124*w**2/19 + 174*w/19 - 4/19 = 0. Calculate w.
-1/3, -2/9, 1/54
Let 4*r**2/3 + 24*r = 0. Calculate r.
-18, 0
Let q**3/3 + 3205*q**2/3 - 6413*q/3 + 1069 = 0. What is q?
-3207, 1
Factor 4*f**3 - 40*f**2 - 244*f + 280.
4*(f - 14)*(f - 1)*(f + 5)
Let -5*g**3 + 85*g**2 + 2105*g + 2015 = 0. What is g?
-13, -1, 31
Determine r so that -4*r**2 + 1496*r - 139876 = 0.
187
Find d such that 2*d**4/7 + 46*d**3/7 + 120*d**2/7 = 0.
-20, -3, 0
Factor 3*p**4 - 9*p**3 - 21*p**2 + 45*p + 54.
3*(p - 3)**2*(p + 1)*(p + 2)
Let 5*o**4/3 + 13*o**3/3 - 146*o**2/3 + 56*o/3 = 0. What is o?
-7, 0, 2/5, 4
Factor -2*p**3/5 + 31*p**2/5 - 56*p/5 + 27/5.
-(p - 1)**2*(2*p - 27)/5
Let t**2/4 - 5*t/4 = 0. Calculate t.
0, 5
Let 6*k**5/5 + 216*k**4/5 + 1464*k**3/5 - 1728*k**2 + 1920*k = 0. What is k?
-20, 0, 2
Find x such that 6*x**2 - 50*x + 16 = 0.
1/3, 8
Let j**5/2 + 17*j**4/2 + 55*j**3/2 + 35*j**2/2 - 28*j - 26 = 0. Calculate j.
-13, -2, -1, 1
Factor -j**5/3 + 4*j**3/3.
-j**3*(j - 2)*(j + 2)/3
Solve -24*h**2 - 255*h - 504 = 0 for h.
-8, -21/8
Let -a**4/5 - a**3/5 + 6*a**2/5 + 4*a/5 - 8/5 = 0. What is a?
-2, 1, 2
Find x such that -2*x**5/3 + 20*x**4 - 236*x**3/3 - 120*x**2 + 238*x/3 + 100 = 0.
-1, 1, 6, 25
Find v such that v**2/7 - 12834*v/7 + 41177889/7 = 0.
6417
Determine s so that 5*s**3 + 680*s**2 - 2780*s + 2800 = 0.
-140, 2
Factor 2*v**2/13 + 29296*v/13 + 107281952/13.
2*(v + 7324)**2/13
Find x such that -3*x**4 + 24*x**3 + 21*x**2 - 150*x - 144 = 0.
-2, -1, 3, 8
Solve -16*z**4/3 - 76*z**3/3 + 604*z**2 - 3584*z/3 + 784/3 = 0.
-14, 1/4, 2, 7
Factor 5*t**3 - 1090*t**2 + 1085*t.
5*t*(t - 217)*(t - 1)
Let -2*y**3/13 + 2*y**2/13 + 12*y/13 = 0. Calculate y.
-2, 0, 3
Find r such that -r**3 + 185*r**2 - 8463*r - 8649 = 0.
-1, 93
Find p, given that 2*p**2 + 10*p - 12 = 0.
-6, 1
Determine v, given that -2*v**2 + 122*v + 124 = 0.
-1, 62
Determine v, given that v**4/3 + 35*v**3/3 = 0.
-35, 0
Determine t, given that -2*t**3 - 18*t**2 - 40*t = 0.
-5, -4, 0
Find y such that -32*y**5 - 20*y**4 + 76*y**3 - 24*y**2 = 0.
-2, 0, 3/8, 1
What is b in b**2/5 - 1724*b/5 + 743044/5 = 0?
862
Factor -k**2 + 4.
-(k - 2)*(k + 2)
Factor 2*o**3/5 + 22*o**2/5 + 4*o.
2*o*(o + 1)*(o + 10)/5
Suppose -3*h**3 + 60*h**2 + 201*h + 138 = 0. Calculate h.
-2, -1, 23
Solve 3*u**5/7 - 1062*u**4/7 + 93978*u**3/7 + 3180*u**2/7 - 279837*u/7 - 187974/7 = 0 for u.
-1, 2, 177
Suppose -5*g**2 - 140*g + 640 = 0. Calculate g.
-32, 4
Factor 2*o**2/5 - 50*o + 1872/5.
2*(o - 117)*(o - 8)/5
Factor -3*h**2 - 189*h - 366.
-3*(h + 2)*(h + 61)
Factor -k**4/2 - 3*k**3/2 + 27*k**2 - 74*k + 60.
-(k - 3)*(k - 2)**2*(k + 10)/2
Let 4*g**4 + 4*g**3 - 64*g**2 - 16*g + 192 = 0. What is g?
-4, -2, 2, 3
Solve y**4/6 + 52*y**3/3 + 1103*y**2/6 - 52*y/3 - 184 = 0 for y.
-92, -12, -1, 1
Determine c so that 356*c**5 - 708*c**4 - 1076*c**3 + 1412*c**2 + 1440*c + 16 = 0.
-1, -1/89, 2
Factor 2209*b**3 + 987*b**2 - 1053*b + 169.
(b + 1)*(47*b - 13)**2
Factor h**4 + 8*h**3 + 18*h**2 + 16*h + 5.
(h + 1)**3*(h + 5)
Suppose -2*t**2/15 + 316*t/15 - 12482/15 = 0. What is t?
79
Determine i so that -i**4/4 + i**3/2 + i**2/4 - i/2 = 0.
-1, 0, 1, 2
Determine h so that 20*h**5 + 18*h**4 - 6*h**3 - 4*h**2 = 0.
-1, -2/5, 0, 1/2
Factor 3*h**3/7 - 87*h**2/7 + 240*h/7 - 156/7.
3*(h - 26)*(h - 2)*(h - 1)/7
Determine f, given that f**4 - 13*f**3 + 12*f**2 = 0.
0, 1, 12
Factor 4*z**2 + 112*z.
4*z*(z + 28)
Factor 2*u**2 - 60*u + 58.
2*(u - 29)*(u - 1)
Find v such that 2*v**4/17 + 14*v**3/17 + 12*v**2/17 = 0.
-6, -1, 0
Solve -3*z**3 + 6*z**2 = 0 for z.
0, 2
Let a**5/4 + 11*a**4/4 - 39*a**3/4 + 41*a**2/4 - 7*a/2 = 0. What is a?
-14, 0, 1
Factor d**3/3 - 173*d**2/3.
d**2*(d - 173)/3
Factor -3*k**2/4 + 15*k/4 + 18.
-3*(k - 8)*(k + 3)/4
Find i such that 7605*i**3/2 - 520*i**2 - 430*i - 40 = 0.
-2/13, 4/9
Factor 2*v**2 + 7064*v + 6237512.
2*(v + 1766)**2
Suppose i**4 + 29*i**3 + 51*i**2 - 81*i = 0. Calculate i.
-27, -3, 0, 1
Find h such that -h**5/6 + h**4/3 - h**3/6 = 0.
0, 1
What is s in -5*s**3/2 + 30*s**2 = 0?
0, 12
Determine n so that -3*n**2 - 441*n + 444 = 0.
-148, 1
Factor 2*q**2 + 76*q + 594.
2*(q + 11)*(q + 27)
Factor -2*o**4/9 + 2*o**3/3 + 4*o**2/3 - 16*o/9.
-2*o*(o - 4)*(o - 1)*(o + 2)/9
Determine i, given that -3*i**5 - 12*i**4 - 6*i**3 + 12*i**2 + 9*i = 0.
-3, -1, 0, 1
Find w such that 4*w**3 + 56*w**2 - 380*w = 0.
-19, 0, 5
Factor 2*i**2 + 104*i.
2*i*(i + 52)
Factor 2*k**5/3 - 40*k**4/3 + 320*k**3/3 - 1280*k**2/3 + 2560*k/3 - 2048/3.
2*(k - 4)**5/3
Factor 2*z**2/7 - 12*z/7 + 10/7.
2*(z - 5)*(z - 1)/7
Determine u so that u**4/2 - 2*u**3 - u**2/2 + 2*u = 0.
-1, 0, 1, 4
Factor -289*m**4 + 46206*m**3 + 5439*m**2 + 160*m.
-m*(m - 160)*(17*m + 1)**2
Solve -4*n**3 - 44*n**2 + 224*n - 240 = 0 for n.
-15, 2
Suppose -x**5/7 + 30*x**4/7 - 158*x**3/7 - 988*x**2/7 - 1377*x/7 - 578/7 = 0. Calculate x.
-2, -1, 17
Let 2*k**3 - 114*k**2 = 0. Calculate k.
0, 57
Let -m**2/4 - 25*m/4 - 23/2 = 0. What is m?
-23, -2
What is f in 2*f**3/7 - 680*f**2/7 + 57800*f/7 = 0?
0, 170
Suppose 3*p**4 - 123*p**3 + 237*p**2 - 117*p = 0. What is p?
0, 1, 39
Determine o so that o**5/9 + 25*o**4/9 - 46*o**3 + 1082*o**2/9 - 1027*o/9 + 37 = 0.
-37, 1, 9
Factor -2*c**3 + 28*c**2 - 70*c + 44.
-2*(c - 11)*(c - 2)*(c - 1)
Factor 2*c**5 - 28*c**4 + 102*c**3 - 100*c**2 - 88*c + 144.
2*(c - 9)*(c - 2)**3*(c + 1)
Determine i so that i**2 - 28*i = 0.
0, 28
Factor 3*n**2 + 18*n + 15.
3*(n + 1)*(n + 5)
Factor -15*g**2 - 201*g - 252.
-3*(g + 12)*(5*g + 7)
Factor -4*d**2 - 36*d + 2728.
-4*(d - 22)*(d + 31)
Solve 2*y**5 + 26*y**4 - 58*y**3 + 30*y**2 = 0 for y.
-15, 0, 1
Factor -2*b**3/3 - 2*b**2/3 + 74*b/3 - 70/3.
-2*(b - 5)*(b - 1)*(b + 7)/3
Determine i so that -5*i**3 + 2340*i**2 - 4660*i = 0.
0, 2, 466
Factor 4*f**4 - 1656*f**3 + 169728*f**2 + 346112*f.
4*f*(f - 208)**2*(f + 2)
Solve -2*q**5/11 - 32*q**4/11 - 204*q**3/11 - 648*q**2/11 - 1026*q/11 - 648/11 = 0 for q.
-4, -3
Determine b so that 18*b**5 + 44*b**4 + 34*b**3 + 8*b**2 = 0.
-1, -4/9, 0
Suppose 2*w**3/3 - 10*w**2/3 - 250*w/3 - 250 = 0. Calculate w.
-5, 15
Suppose -2*v**4/5 - 8*v**3 + 86*v**2/5 - 44*v/5 = 0. What is v?
-22, 0, 1
Factor 4*d**4 + 48*d**3 + 36*d**2 - 88*d.
4*d*(d - 1)*(d + 2)*(d + 11)
Determine t, given that -2*t**3/5 + 378*t**2/5 + 1544*t/5 = 0.
-4, 0, 193
Factor 4*q**5 + 8*q**4 - 16*q**3 - 8*q**2 + 12*q.
4*q*(q - 1)**2*(q + 1)*(q + 3)
Factor -5*z**4 - 140*z**3 + 145*z**2.
-5*z**2*(z - 1)*(z + 29)
Factor -3*d**3/4 - 165*d**2/4 - 897*d/4 - 735/4.
-3*(d + 1)*(d + 5)*(d + 49)/4
Factor -4*o**3 + 48*o**2 - 108*o - 160.
-4*(o - 8)*(o - 5)*(o + 1)
Factor f**4/5 + 4*f**3 + 78*f**2/5 - 44*f + 121/5.
(f - 1)**2*(f + 11)**2/5
Find b such that 3*b**5/5 - 267*b**4/5 + 207*b**3 - 1281*b**2/5 + 102*b = 0.
0, 1, 2, 85
Find i such that -20*i**5 + 250*i**4 - 3765*i**3/4 + 1265*i**2 - 1885*i/4 + 105/2 = 0.
1/4, 2, 3, 7
Suppose 2*z**4 - 800*z**3 + 796*z**2 + 800*z - 798 = 0. What is z?
-1, 1, 399
Determine d, given that d**3 - 3*d**2 - 6*d + 8 = 0.
-2, 1, 4
Factor 3*d**2 - 24*d + 48.
3*(d - 4)**2
Factor 2*o**2/5 - 224*o/5 + 88.
2*(o - 110)*(o - 2)/5
Factor p**3 - p**2 - 5*p - 3.
(p - 3)*(p + 1)**2
Factor 5*w**4 + 1500*w**3 + 110990*w**2 - 226500*w + 114005.
5*(w - 1)**2*(w + 151