10*r**2/3 + 25*r.
-r*(r - 15)*(r + 5)/3
Solve -a**5/3 - 10*a**4/3 - 11*a**3 - 44*a**2/3 - 20*a/3 = 0 for a.
-5, -2, -1, 0
Determine h, given that 1058*h**4/3 - 552*h**3 - 410*h**2/3 + 552*h - 216 = 0.
-1, 18/23, 1
Factor 4*t**4/5 - 16*t**3 + 80*t**2.
4*t**2*(t - 10)**2/5
Factor m**5 - 32*m**4 + 253*m**3 + 94*m**2 - 704*m - 512.
(m - 16)**2*(m - 2)*(m + 1)**2
Factor -2*u**2/5 + 104*u/5 - 294/5.
-2*(u - 49)*(u - 3)/5
Determine v, given that -v**2/2 - v + 40 = 0.
-10, 8
Suppose a**4/3 - 158*a**3/3 - 643*a**2/3 - 808*a/3 - 108 = 0. Calculate a.
-2, -1, 162
Suppose a**2/2 - 3*a + 9/2 = 0. Calculate a.
3
Factor 2*z**2/9 - 20*z/9 + 2.
2*(z - 9)*(z - 1)/9
Factor h**2/4 + 745*h + 555025.
(h + 1490)**2/4
Let 4*n**3/7 - 10*n**2 - 38*n/7 + 36/7 = 0. Calculate n.
-1, 1/2, 18
Factor 2*v**3 - 2*v**2 - 18*v + 18.
2*(v - 3)*(v - 1)*(v + 3)
Factor -4*j**3 - 272*j**2 - 3344*j + 46208.
-4*(j - 8)*(j + 38)**2
What is s in -5*s**4 + 325*s**3 - 7335*s**2 + 63315*s - 132300 = 0?
3, 20, 21
Let 54*i**5 - 171*i**4 + 111*i**3 + 55*i**2 - 25*i = 0. What is i?
-1/2, 0, 1/3, 5/3
Solve 3*i**3/4 + 357*i**2/4 + 87*i - 177 = 0 for i.
-118, -2, 1
Find v such that -v**2/4 - 11*v/4 - 9/2 = 0.
-9, -2
Find z such that z**2/6 + 53*z/6 + 26/3 = 0.
-52, -1
What is t in -4*t**5 - 40*t**4 + 44*t**3 + 720*t**2 = 0?
-9, -5, 0, 4
Solve 18*m**2/11 - 74*m/11 + 56/11 = 0 for m.
1, 28/9
Factor -3*s**5/2 + 3*s**4/2 + 27*s**3/2 + 33*s**2/2 + 6*s.
-3*s*(s - 4)*(s + 1)**3/2
Let -55*m**5 + 155*m**4 + 140*m**3 - 640*m**2 + 320*m + 80 = 0. What is m?
-2, -2/11, 1, 2
Factor 3*z**5 + 564*z**4 - 1710*z**3 + 1716*z**2 - 573*z.
3*z*(z - 1)**3*(z + 191)
Find p such that 5*p**2 + 24*p + 16 = 0.
-4, -4/5
Factor -2*m**2/9 + 940*m/9 - 110450/9.
-2*(m - 235)**2/9
Solve 4*f**3/7 - 96*f**2/7 + 180*f/7 - 88/7 = 0 for f.
1, 22
Let -5*g**3/2 + 115*g**2/2 + 245*g/2 + 125/2 = 0. Calculate g.
-1, 25
Find o, given that -3*o**2 - 558*o - 555 = 0.
-185, -1
Let -3*l**2 - 101*l + 34 = 0. Calculate l.
-34, 1/3
Solve -d**2 - 13*d - 30 = 0 for d.
-10, -3
Find t such that -t**2/3 - 64*t/3 = 0.
-64, 0
Solve 6*w**4/7 + 76*w**3/7 + 16*w**2 + 20*w/7 - 22/7 = 0 for w.
-11, -1, 1/3
Determine c, given that 2*c**4/13 + 18*c**3/13 - 2*c**2/13 - 18*c/13 = 0.
-9, -1, 0, 1
Solve j**3/6 - 9*j**2 + 215*j/2 - 296/3 = 0.
1, 16, 37
Factor -28*s**3/5 + 424*s**2 + 608*s/5.
-4*s*(s - 76)*(7*s + 2)/5
Determine r so that 25*r**3 + 1215*r**2 + 710*r - 480 = 0.
-48, -1, 2/5
Factor 2*z**2 + 14*z - 16.
2*(z - 1)*(z + 8)
Factor 5*d**3 - 2635*d**2 + 351080*d - 1029660.
5*(d - 262)**2*(d - 3)
Factor -v**4/3 - v**3 + 36*v**2.
-v**2*(v - 9)*(v + 12)/3
Let 5*u**4 + 55*u**3 + 195*u**2 + 225*u = 0. What is u?
-5, -3, 0
Suppose 4*k**2/3 + 12*k - 280/3 = 0. Calculate k.
-14, 5
Factor q**5 - 13*q**4 - 19*q**3 + 73*q**2 - 42*q.
q*(q - 14)*(q - 1)**2*(q + 3)
Suppose -14931*k**2 + 14925*k + 6 = 0. Calculate k.
-2/4977, 1
Determine z, given that 5*z**2 - 1030*z + 53045 = 0.
103
Factor 2*b**2/21 - 380*b/7 - 1146/7.
2*(b - 573)*(b + 3)/21
Factor i**5/2 - 15*i**4 - 31*i**3/2.
i**3*(i - 31)*(i + 1)/2
Let 4*s**2 + 720*s - 1456 = 0. Calculate s.
-182, 2
Factor 2*l**4/5 - 18*l**3/5 + 16*l**2/5.
2*l**2*(l - 8)*(l - 1)/5
Let 5*p**4 - 45*p**3 + 135*p**2 - 135*p = 0. Calculate p.
0, 3
Suppose 147*w**3 - 3633*w**2/4 - 555*w - 81 = 0. What is w?
-2/7, 27/4
Factor -5*c**4 - 42*c**3 + 359*c**2 - 480*c - 252.
-(c - 3)**2*(c + 14)*(5*c + 2)
Solve -7*f**5 + 761*f**4 + 4152*f**3 + 7480*f**2 + 5008*f + 912 = 0 for f.
-2, -1, -2/7, 114
Let -3*v**3/2 + 24*v**2 - 153*v/2 + 54 = 0. What is v?
1, 3, 12
Determine g so that g**5/2 - 11*g**4/2 - 7*g**3 + 12*g**2 = 0.
-2, 0, 1, 12
Determine q so that -6*q**3/5 - 4*q**2 - 16*q/5 = 0.
-2, -4/3, 0
Factor 2*y**3/11 - 26*y/11 + 24/11.
2*(y - 3)*(y - 1)*(y + 4)/11
Factor -72*f**3/5 + 744*f**2 - 1210*f + 500.
-2*(f - 50)*(6*f - 5)**2/5
Suppose -2*r**2/9 + 94*r/9 + 472/3 = 0. Calculate r.
-12, 59
What is z in -16*z**5 + 64*z**4 - 36*z**3 - 52*z**2 + 52*z - 12 = 0?
-1, 1/2, 1, 3
Let 3*d**3 + 36*d**2 - 12*d - 144 = 0. Calculate d.
-12, -2, 2
Suppose -4*w**3 - 1108*w**2 - 2204*w - 1100 = 0. What is w?
-275, -1
Factor -3*m**4/4 + 30*m**3 + 123*m**2/4.
-3*m**2*(m - 41)*(m + 1)/4
Let x**2/3 - 20*x/3 + 64/3 = 0. What is x?
4, 16
Factor 14*t**3/5 - 274*t**2/5 + 384*t/5 + 216/5.
2*(t - 18)*(t - 2)*(7*t + 3)/5
Factor -2*o**4/9 - 1456*o**3/9 - 262064*o**2/9 + 355264*o/3 - 119072.
-2*(o - 2)**2*(o + 366)**2/9
Determine o, given that -2*o**5/15 - 16*o**4/5 - 128*o**3/15 - 12*o**2/5 + 26*o/3 + 28/5 = 0.
-21, -2, -1, 1
Factor -5*l**2 - 420*l - 1215.
-5*(l + 3)*(l + 81)
Factor -y**3/2 + 22*y**2 + 141*y/2.
-y*(y - 47)*(y + 3)/2
Solve 2*s**4/11 + 6*s**3/11 - 2*s**2/11 - 6*s/11 = 0.
-3, -1, 0, 1
What is u in -2*u**3/15 + 14*u**2/15 + 20*u/3 - 224/5 = 0?
-7, 6, 8
Determine j so that j**3 - 35*j**2 + 242*j - 208 = 0.
1, 8, 26
Factor -5*n**5 - 165*n**4 + 170*n**3.
-5*n**3*(n - 1)*(n + 34)
Factor z**4 - 7*z**2 - 6*z.
z*(z - 3)*(z + 1)*(z + 2)
Suppose -4*t**2 + 580*t - 576 = 0. What is t?
1, 144
Let -n**3/2 + 23*n**2/2 + 641*n/2 - 663/2 = 0. What is n?
-17, 1, 39
Determine v so that -20*v**5 + 48*v**4 + 204*v**3 - 328*v**2 + 96*v = 0.
-3, 0, 2/5, 1, 4
What is k in -1225*k**5/2 - 1085*k**4 - 3249*k**3/8 + 1017*k**2/8 + 405*k/8 - 81/8 = 0?
-1, -3/5, 3/14
Factor 4*u**3/7 - 356*u**2/7 - 2260*u/7 - 1900/7.
4*(u - 95)*(u + 1)*(u + 5)/7
Factor 54*p**3 + 582*p**2 - 394*p/3 + 22/3.
2*(p + 11)*(9*p - 1)**2/3
Find r such that -4*r**5 + 26*r**4 + 24*r**3 - 124*r**2 - 196*r - 78 = 0.
-1, 3, 13/2
Factor 2*i**2/15 + 14*i/15 - 16/15.
2*(i - 1)*(i + 8)/15
Determine y, given that 3*y**3 - 2442*y**2 + 504192*y - 2937888 = 0.
6, 404
Find h, given that 2*h**3/19 + 104*h**2/19 + 1450*h/19 + 2500/19 = 0.
-25, -2
Suppose 2*s**2 + 752*s/9 - 56/3 = 0. What is s?
-42, 2/9
Determine u, given that 26*u**4/9 - 2492*u**3/9 - 8054*u**2/9 - 6328*u/9 - 88 = 0.
-2, -1, -2/13, 99
Factor -5*g**4 + 90*g**3 - 200*g**2 - 1440*g + 4480.
-5*(g - 14)*(g - 4)**2*(g + 4)
Factor 2*l**2/3 - 14*l + 76/3.
2*(l - 19)*(l - 2)/3
Find y such that y**3/5 - 12*y**2 + 219*y/5 + 56 = 0.
-1, 5, 56
Suppose 6*t**5/11 + 84*t**4/11 + 354*t**3/11 + 564*t**2/11 + 288*t/11 = 0. What is t?
-8, -3, -2, -1, 0
What is h in -4*h**2 + 328*h + 332 = 0?
-1, 83
What is p in 2*p**3/3 + 44*p**2 - 90*p + 136/3 = 0?
-68, 1
Factor 3*c**3 + 132*c**2 - 717*c + 882.
3*(c - 3)*(c - 2)*(c + 49)
Factor c**3/3 + c**2 + c + 1/3.
(c + 1)**3/3
Factor 2*z**3/3 + 230*z**2/3 + 1108*z/3 + 880/3.
2*(z + 1)*(z + 4)*(z + 110)/3
Let l**3 - 4*l**2 + 3*l = 0. Calculate l.
0, 1, 3
Solve -9*p**3/7 + 57*p**2/7 + 204*p/7 + 108/7 = 0 for p.
-2, -2/3, 9
Factor -11*l**2/4 + 4*l + 3.
-(l - 2)*(11*l + 6)/4
Determine u, given that -2*u**4 - 34*u**3 + 158*u**2 - 206*u + 84 = 0.
-21, 1, 2
Determine c so that 5*c**2/4 + 105*c/2 - 675/4 = 0.
-45, 3
Factor -2*v**2/9 - 32*v/9 - 26/3.
-2*(v + 3)*(v + 13)/9
What is u in 2*u**2/5 + 26*u/5 + 72/5 = 0?
-9, -4
Factor 16*l**3 + 124*l**2 + 160*l - 48.
4*(l + 2)*(l + 6)*(4*l - 1)
Determine u, given that u**2 + 85*u + 166 = 0.
-83, -2
Determine o so that o**4/7 - 230*o**3/7 + 13224*o**2/7 + 230*o/7 - 13225/7 = 0.
-1, 1, 115
Factor -3*p**2/4 - 4209*p/2.
-3*p*(p + 2806)/4
Determine j, given that 28*j**5 - 32*j**4 - 136*j**3 - 64*j**2 + 12*j = 0.
-1, 0, 1/7, 3
Factor -15*i**2/8 + 33*i/8 + 63/4.
-3*(i + 2)*(5*i - 21)/8
Factor 2*r**3/3 + 20*r**2/3 - 46*r/3 + 8.
2*(r - 1)**2*(r + 12)/3
Find n such that -n**5/11 + 7*n**4/11 + 3*n**3/11 - 23*n**2/11 + 14*n/11 = 0.
-2, 0, 1, 7
Factor -2*f**4 - 12*f**3 - 8*f**2 + 12*f + 10.
-2*(f - 1)*(f + 1)**2*(f + 5)
Let 49*y**4 + 728*y**3 - 880*y**2 + 256*y = 0. Calculate y.
-16, 0, 4/7
Factor 2*f**4/9 - 10*f**3/9 + 4*f**2/3 + 8*f/9 - 16/9.
2*(f - 2)**3*(f + 1)/9
Factor 2*f**2/9 + 10*f/9 - 4/3.
2*(f - 1)*(f + 6)/9
What is x in 5*x**5/2 + 85*x**4/2 + 145*x**3 + 205*x**2 + 265*x/2 + 65/2 = 0?
-13, -1
Solve -15*d**3 - 324*d**2 - 1548*d + 672 = 0 for d.
-14, -8, 2/5
Factor 2*k**3/9 + 98*k**2/9 + 1150*k/9 - 1250/9.
2*(k - 1)*(k + 25)**2/9
Solve -2*k**2/15 - 124*k/15 - 638/5 = 0 for k.
-33, -29
Factor 5*p**4 + 170*p**3 - 540*p**2 + 550*p - 185.
5*(p - 1)**3*(p + 37)
Factor 3*s**5 - 51*s**4 + 240*s**3 - 192*s**2.
3*s**2*(s - 8)**2*(s - 1)
Determine o so that -7*o**3 + 101*o**2 + 108*o = 0.
-1, 0, 108/7
Factor 3*t**4 + 78*t**3