*h**2/2 - 135*h/2.
3*h*(h - 15)*(h - 3)*(h - 1)/2
Factor 2*g**2/7 + 40*g/7 + 24.
2*(g + 6)*(g + 14)/7
Determine d so that -11*d**3 + 46*d**2 - 52*d + 8 = 0.
2/11, 2
Suppose -l**5/2 - l**4/2 + 3*l**3 - l**2 - 5*l/2 + 3/2 = 0. What is l?
-3, -1, 1
Factor g**5/2 - 11*g**4 + 169*g**3/2 - 264*g**2 + 288*g.
g*(g - 8)**2*(g - 3)**2/2
Factor 4*h**2 - 116*h + 400.
4*(h - 25)*(h - 4)
Solve 5*f**2 - 1745*f + 1740 = 0 for f.
1, 348
Solve -c**4/6 - c**3/6 + 11*c**2/3 - 22*c/3 + 4 = 0.
-6, 1, 2
Factor -a**2/3 - 7*a/3 + 98/3.
-(a - 7)*(a + 14)/3
Let 2*a**2 + 30*a = 0. What is a?
-15, 0
Determine r so that 3*r**4 + 18*r**3 = 0.
-6, 0
Suppose 2*i**5 + 2*i**4 - 10*i**3 - 2*i**2 + 16*i - 8 = 0. Calculate i.
-2, 1
Solve 6*v**5/7 - 64*v**4/7 + 202*v**3/7 - 216*v**2/7 + 72*v/7 = 0.
0, 2/3, 1, 3, 6
Factor -i**3/3 + 8*i**2/3 + 31*i/3 + 22/3.
-(i - 11)*(i + 1)*(i + 2)/3
Determine t, given that 25*t**5 - 60*t**4 - 80*t**3 + 90*t**2 + 55*t - 30 = 0.
-1, 2/5, 1, 3
Factor 2*h**3/7 - 18*h**2/7 + 46*h/7 - 30/7.
2*(h - 5)*(h - 3)*(h - 1)/7
Suppose -2*u**2/7 + 300*u/7 + 608/7 = 0. Calculate u.
-2, 152
Factor 6*r**5/7 + 2*r**4 + 10*r**3/7 + 2*r**2/7.
2*r**2*(r + 1)**2*(3*r + 1)/7
Factor -b**5 + 15*b**4 - 61*b**3 + 21*b**2 + 98*b.
-b*(b - 7)**2*(b - 2)*(b + 1)
Let 2*t**3/3 + 100*t**2/3 + 274*t/3 - 376/3 = 0. Calculate t.
-47, -4, 1
Factor 3*v**4 + 21*v**3 - 48*v**2 - 156*v + 288.
3*(v - 2)**2*(v + 3)*(v + 8)
Let 4*t**3 + 16*t**2 - 204*t + 360 = 0. Calculate t.
-10, 3
Factor 10*k**5/3 + 118*k**4/9 + 112*k**3/9 - 8*k**2/9.
2*k**2*(k + 2)**2*(15*k - 1)/9
Factor 3*x**4/4 + x**3/2 - 5*x**2/4 - x.
x*(x + 1)**2*(3*x - 4)/4
Factor -2*r**4 - 34*r**3 - 210*r**2 - 550*r - 500.
-2*(r + 2)*(r + 5)**3
Suppose -1906*x**2 - 1910*x - 4 = 0. What is x?
-1, -2/953
Factor -w**2/3 - 32*w/3 + 35.
-(w - 3)*(w + 35)/3
Suppose 2*h**4/5 - 978*h**3/5 + 120036*h**2/5 - 113216*h/5 - 714432/5 = 0. What is h?
-2, 3, 244
Factor -2*z**2/5 - 1094*z/5 + 1096/5.
-2*(z - 1)*(z + 548)/5
Solve -55*t**5 - 65*t**4 + 45*t**3 + 65*t**2 + 10*t = 0 for t.
-1, -2/11, 0, 1
Find m, given that -5*m**4 + 2705*m**3 + 16365*m**2 + 24615*m = 0.
-3, 0, 547
Factor 3*u**2 + 63*u + 60.
3*(u + 1)*(u + 20)
Let -3*h**3/4 - 81*h**2/4 - 39*h/2 = 0. What is h?
-26, -1, 0
Find t, given that 4*t**5 - 20*t**4 - 104*t**3 + 16*t**2 + 352*t + 256 = 0.
-2, -1, 2, 8
Factor z**2 - 209*z.
z*(z - 209)
Factor 5*a**4 + 45*a**3 + 90*a**2.
5*a**2*(a + 3)*(a + 6)
Factor -u**3/2 + u**2/4 + u - 3/4.
-(u - 1)**2*(2*u + 3)/4
Find y, given that 4*y**5 - 3*y**4 - 13*y**3 + y**2 + 9*y + 2 = 0.
-1, -1/4, 1, 2
Let j**3/8 + j**2/4 - 4*j - 12 = 0. What is j?
-4, 6
Factor -i**5 + 5*i**4 + 8*i**3 - 12*i**2.
-i**2*(i - 6)*(i - 1)*(i + 2)
Factor 3*t**3 + 96*t**2 + 183*t + 90.
3*(t + 1)**2*(t + 30)
Factor -r**2/5 - 99*r/5 + 306/5.
-(r - 3)*(r + 102)/5
Suppose -5*p**4 - 60*p**3 - 180*p**2 = 0. Calculate p.
-6, 0
Solve -2*s**4 - 5376*s**3 - 4816896*s**2 - 1438646272*s = 0 for s.
-896, 0
Suppose -b**3/7 - 9*b**2/7 - 20*b/7 = 0. What is b?
-5, -4, 0
Determine m, given that 3*m**5 - 1275*m**4 + 136104*m**3 - 134832*m**2 = 0.
0, 1, 212
Factor 3*m**2 + 8100*m - 8103.
3*(m - 1)*(m + 2701)
Determine r so that -5*r**3 + 255*r**2 - 3375*r + 13365 = 0.
9, 33
Suppose -n**5/4 - 7*n**4/4 - 4*n**3 - 2*n**2 + 4*n + 4 = 0. Calculate n.
-2, 1
Find v such that -2*v**3/13 + 84*v**2/13 - 58*v - 840/13 = 0.
-1, 15, 28
Find m such that -2*m**3 + 26*m**2 - 52*m - 80 = 0.
-1, 4, 10
Factor -4*m**3/7 - 548*m**2/7 + 320*m - 2256/7.
-4*(m - 2)**2*(m + 141)/7
Solve -5*k**2 - 490*k + 495 = 0.
-99, 1
Solve f**5 - 778*f**4 - f**3 + 778*f**2 = 0.
-1, 0, 1, 778
Find t such that -4*t**4 + 832*t**3 + 1700*t**2 - 4176*t - 5040 = 0.
-3, -1, 2, 210
Factor 4*o**2 + 28*o + 40.
4*(o + 2)*(o + 5)
Determine d, given that -d**4/3 + 2*d**3/3 + 28*d**2/3 + 46*d/3 + 7 = 0.
-3, -1, 7
Factor 3*d**4/5 + 24*d**3/5 - 12*d**2/5 - 96*d/5.
3*d*(d - 2)*(d + 2)*(d + 8)/5
Factor -5*t**4/4 - 20*t**3 - 110*t**2 - 240*t - 180.
-5*(t + 2)**2*(t + 6)**2/4
Factor -2*j**3/5 - 6*j**2/5 + 4*j.
-2*j*(j - 2)*(j + 5)/5
Determine p, given that 16*p**3/5 + 132*p**2/5 + 224*p/5 + 48/5 = 0.
-6, -2, -1/4
Solve m**2/3 - 68*m/3 + 105 = 0.
5, 63
Find v such that 2*v**2 - 30*v - 32 = 0.
-1, 16
Factor j**2 - 42*j + 80.
(j - 40)*(j - 2)
Let -3*k**4 + 129*k**3 - 1635*k**2 + 4731*k + 6498 = 0. Calculate k.
-1, 6, 19
Determine h so that -8*h**4 + 16*h**3 - 10*h**2 + 2*h = 0.
0, 1/2, 1
Find n such that 50*n**3 + 205*n**2 + 20*n = 0.
-4, -1/10, 0
Let -5*d**4/4 + 55*d**3 - 485*d**2 - 2640*d - 2880 = 0. What is d?
-2, 24
Suppose -3*c**2 + 144*c - 276 = 0. What is c?
2, 46
Factor 2*f**4 + 16*f**3 - 6*f**2 - 44*f + 32.
2*(f - 1)**2*(f + 2)*(f + 8)
Suppose -4*w**3/9 + 8*w**2/3 + 76*w/9 - 32/3 = 0. Calculate w.
-3, 1, 8
Find a such that -5*a**3 - 415*a**2 - 8400*a + 8820 = 0.
-42, 1
Factor 3*w**3/4 + 24*w**2 - 4017*w/4 + 14703/2.
3*(w - 13)**2*(w + 58)/4
Solve 2*x**3/21 - 8*x**2/21 - 2*x/21 + 8/21 = 0 for x.
-1, 1, 4
Let 35*a**5 - 47*a**4 - 93*a**3 + 211*a**2 - 130*a + 24 = 0. What is a?
-2, 12/35, 1
Factor -2*q**2/7 - 60*q/7 - 450/7.
-2*(q + 15)**2/7
Factor -4*p**2/9 + 2*p/9 + 20/9.
-2*(p + 2)*(2*p - 5)/9
Factor -s**2 + 733*s.
-s*(s - 733)
Suppose -5*g**2 - 5*g = 0. Calculate g.
-1, 0
Factor 5*x**3 + 5*x**2 - 10*x.
5*x*(x - 1)*(x + 2)
Factor j**2/4 + 6*j - 85.
(j - 10)*(j + 34)/4
Let -p**3 + 19*p**2 - 50*p + 32 = 0. What is p?
1, 2, 16
Suppose 4*d**4/3 + 296*d**3/3 + 6292*d**2/3 + 10064*d + 13872 = 0. What is d?
-34, -3
Factor 3*l**5 - 48*l**4 - 108*l**3.
3*l**3*(l - 18)*(l + 2)
Suppose -6*p**5/7 - 29*p**4 - 345*p**3/7 + 232*p**2/7 + 36*p - 128/7 = 0. Calculate p.
-32, -2, -1, 1/2, 2/3
Factor d**3/5 - 61*d**2 - 613*d/5 - 307/5.
(d - 307)*(d + 1)**2/5
Suppose -2*l**4/13 + 12*l**3/13 - 24*l**2/13 + 20*l/13 - 6/13 = 0. What is l?
1, 3
Factor -7*w**3 + 520*w**2 - 659*w + 146.
-(w - 73)*(w - 1)*(7*w - 2)
Find o, given that 9*o**2 + 78*o - 27 = 0.
-9, 1/3
Factor -a**2/9 - 2*a/3 + 16/9.
-(a - 2)*(a + 8)/9
Let -m**4 - 10*m**3 + 3*m**2 + 108*m = 0. Calculate m.
-9, -4, 0, 3
Factor 4*m**3/3 + 440*m**2/3 - 2964*m + 13824.
4*(m - 9)**2*(m + 128)/3
Find c, given that 28*c**4 + 1576*c**3 + 20748*c**2 - 41296*c - 13456 = 0.
-29, -2/7, 2
Solve 3*l**4 + 12*l**3 - 126*l**2 + 108*l + 243 = 0 for l.
-9, -1, 3
Let 70*z**4 - 205*z**3 - 275*z**2 = 0. What is z?
-1, 0, 55/14
Factor -2*v**5/7 - 8*v**4/7 + 6*v**3/7 + 36*v**2/7.
-2*v**2*(v - 2)*(v + 3)**2/7
Factor 2*r**3/7 - 120*r**2/7 + 234*r/7 - 116/7.
2*(r - 58)*(r - 1)**2/7
Factor -2*b**2 + 6*b - 4.
-2*(b - 2)*(b - 1)
Let 5*a**3 + 135*a**2 - 1730*a - 3960 = 0. Calculate a.
-36, -2, 11
Solve 12*b**5 + 109*b**4 + 104*b**3 - b**2 - 8*b = 0.
-8, -1, -1/3, 0, 1/4
Factor -a**2 + 1690*a + 1691.
-(a - 1691)*(a + 1)
Let -7*x**4 + 520*x**3 + 1455*x**2 + 620*x - 308 = 0. Calculate x.
-2, -1, 2/7, 77
Factor -i**2/2 + 570*i - 162450.
-(i - 570)**2/2
Find r, given that -r**4/2 + 31*r**3/2 - 255*r**2/2 + 225*r/2 = 0.
0, 1, 15
Factor w**2/6 + 5*w/3 + 3/2.
(w + 1)*(w + 9)/6
Factor 2*d**4/17 + 2*d**3/17 - 16*d**2/17 - 24*d/17.
2*d*(d - 3)*(d + 2)**2/17
Let -2*p**5/7 + 78*p**4/7 - 10*p**3 - 34*p**2 + 384*p/7 - 152/7 = 0. What is p?
-2, 1, 38
Let 3*y**4/5 - 18*y**3 + 429*y**2/5 + 18*y - 432/5 = 0. Calculate y.
-1, 1, 6, 24
Factor 4*j**4 + 204*j**3 + 3508*j**2 + 22116*j + 31768.
4*(j + 2)*(j + 11)*(j + 19)**2
Find q such that -2*q**3/11 - 106*q**2/11 - 104*q/11 = 0.
-52, -1, 0
Factor 4*i**2 + 2704*i.
4*i*(i + 676)
Factor -2*i**2 - 13272*i - 22018248.
-2*(i + 3318)**2
Factor m**3/3 + 319*m**2/3 - 322*m/3 - 640/3.
(m - 2)*(m + 1)*(m + 320)/3
Factor 3*w**3 + 24*w**2 + 60*w + 48.
3*(w + 2)**2*(w + 4)
What is j in -52*j**3 - 256*j**2 + 1268*j - 96 = 0?
-8, 1/13, 3
Solve 4*w**4/3 - 110*w**3/3 + 50*w**2 + 160*w/3 - 104/3 = 0.
-1, 1/2, 2, 26
Find f such that f**4/8 + 29*f**3/8 + 231*f**2/8 - 121*f/8 - 1331/2 = 0.
-11, 4
Suppose 162*s**2 - 5004*s + 38642 = 0. What is s?
139/9
Determine a so that a**4/7 + 10*a**3/7 - 40*a**2/7 - 10*a/7 + 39/7 = 0.
-13, -1, 1, 3
Find g such that -g**4/5 + 63*g**3/5 - 62*g**2/5 = 0.
0, 1, 62
Let -21*d**5 - 48*d**4 - 12*d**3 + 42*d**2 + 33*d + 6 = 0. Calculate d.
-1, -2/7, 1
Factor -6*q**2 - 494*q + 332.
-2*(q + 83)*(3*q - 2)
Solve 2*l**5 + 508*l**4/3 - 2276*l**3/3 + 1120*l**2 - 1954*l/3 + 356/3 = 0 for l.
-89, 1/3, 1, 2
Factor 5*