/2, 4, 6, 14
Solve 2*h**4 + 288*h**3 - 4620*h**2 + 23600*h - 39750 = 0 for h.
-159, 5
Factor -2*f**3/7 + 34*f**2/7 - 144*f/7.
-2*f*(f - 9)*(f - 8)/7
Find h, given that 8*h**4 + 82*h**3 + 12*h**2 - 82*h - 20 = 0.
-10, -1, -1/4, 1
Solve 2*w**4 + 36*w**3 + 234*w**2 + 648*w + 648 = 0.
-6, -3
Determine q so that -q**3/2 + 103*q**2/2 - 101*q = 0.
0, 2, 101
Find s such that -s**3 + 14*s**2 + 15*s = 0.
-1, 0, 15
Find r such that 8*r**5 - 98*r**4 - 208*r**3 + 154*r**2 + 200*r - 56 = 0.
-2, -1, 1/4, 1, 14
Let o**4/2 - 962*o**3 + 694083*o**2 - 222569282*o + 53527912321/2 = 0. Calculate o.
481
Suppose -u**5/2 - 7*u**4 - 4*u**3 + 31*u**2 - 39*u/2 = 0. Calculate u.
-13, -3, 0, 1
Factor -l**4/4 + 7*l**3/4 - 15*l**2/4 + 9*l/4.
-l*(l - 3)**2*(l - 1)/4
Factor -3*o**4 + 15*o**3 - 9*o**2 - 27*o.
-3*o*(o - 3)**2*(o + 1)
Factor 3*y**4 + 159*y**3 + 459*y**2 + 453*y + 150.
3*(y + 1)**3*(y + 50)
Factor -c**3/4 - 3*c**2 - 47*c/4 - 15.
-(c + 3)*(c + 4)*(c + 5)/4
Let g**3/9 - 4*g**2/9 + 5*g/9 - 2/9 = 0. Calculate g.
1, 2
Let 4*w**5 - 16*w**4 + 8*w**3 + 16*w**2 - 12*w = 0. What is w?
-1, 0, 1, 3
Determine q, given that -q**2/7 - 632*q - 698992 = 0.
-2212
Solve -h**5 + 5*h**4 - 2*h**3 - 20*h**2 + 24*h = 0 for h.
-2, 0, 2, 3
Solve -32*q**3 + 127*q**2 - 92*q - 3 = 0 for q.
-1/32, 1, 3
Factor i**3/7 - 24*i**2/7.
i**2*(i - 24)/7
Let -3*i**4/4 - 3*i**3/4 + 3*i**2/4 + 3*i/4 = 0. What is i?
-1, 0, 1
Factor -f**5/4 + 3*f**4 - 45*f**3/4 + 25*f**2/2.
-f**2*(f - 5)**2*(f - 2)/4
Let 5*u**5/2 + 125*u**4/2 - 15*u**3/2 - 385*u**2/2 - 125*u = 0. Calculate u.
-25, -1, 0, 2
Find b such that 4*b**3 - 32*b**2 + 80*b - 64 = 0.
2, 4
Factor 2*y**2/3 - 4340*y/3 + 2354450/3.
2*(y - 1085)**2/3
Factor f**3/2 + 3*f**2 + 9*f/2.
f*(f + 3)**2/2
Factor t**5/2 + t**4 - 3*t**3 - 10*t**2 - 19*t/2 - 3.
(t - 3)*(t + 1)**3*(t + 2)/2
Factor -4*y**4 - 308*y**3 - 5772*y**2 + 6084*y.
-4*y*(y - 1)*(y + 39)**2
Factor 3*p**5 + 3*p**4 - 9*p**3 - 15*p**2 - 6*p.
3*p*(p - 2)*(p + 1)**3
Factor 20*c**3 + 28*c**2 - 32*c - 16.
4*(c - 1)*(c + 2)*(5*c + 2)
Let 2*r**2/19 - 4*r/19 + 2/19 = 0. What is r?
1
Determine p, given that 2*p**4/7 + 2*p**3/21 - 2*p**2/3 - 10*p/21 = 0.
-1, 0, 5/3
Find p, given that -3*p**4 - 81*p**3 - 135*p**2 + 393*p + 450 = 0.
-25, -3, -1, 2
Factor c**2 - 43*c.
c*(c - 43)
Suppose 4*y**4/5 + 184*y**3/5 + 336*y**2 + 1000*y + 700 = 0. Calculate y.
-35, -5, -1
Factor -2*k**3/9 + 60*k**2 - 178*k/3 - 1076/9.
-2*(k - 269)*(k - 2)*(k + 1)/9
Let c**5/6 + 19*c**4/3 - 1523*c**3/6 + 4694*c**2/3 + 11746*c/3 + 6272/3 = 0. What is c?
-64, -1, 14
Factor j**3/5 - 3*j**2/5 + 2*j/5.
j*(j - 2)*(j - 1)/5
Factor 2*z**5/3 - 14*z**4/3 + 38*z**3/3 - 50*z**2/3 + 32*z/3 - 8/3.
2*(z - 2)**2*(z - 1)**3/3
Let -t**2/10 - 3*t/2 = 0. Calculate t.
-15, 0
Solve 4*d**2 - 148*d/3 + 16 = 0.
1/3, 12
Factor -2*h**2 - 1048*h - 137288.
-2*(h + 262)**2
Find d, given that 2*d**4 - 178*d**3 + 3870*d**2 + 4050*d = 0.
-1, 0, 45
Factor p**2 + 162*p + 477.
(p + 3)*(p + 159)
Solve -2*f**2 - 3002*f = 0 for f.
-1501, 0
What is j in -2*j**5/9 - 44*j**4/9 - 182*j**3/9 + 268*j**2/3 + 128*j - 192 = 0?
-12, -2, 1, 3
Let 51529*s**4/3 + 101696*s**3/3 + 48814*s**2/3 - 448*s + 3 = 0. What is s?
-1, 3/227
Factor 2*g**2 + 4*g - 6.
2*(g - 1)*(g + 3)
Let 2*a**2/3 - 2608*a/3 - 5224/3 = 0. What is a?
-2, 1306
What is h in 3*h**2/5 + 219*h/5 - 2214/5 = 0?
-82, 9
Suppose 2*j**4/13 + 12*j**3/13 - 50*j**2/13 + 36*j/13 = 0. What is j?
-9, 0, 1, 2
Suppose -38*s**3 + 80*s**2 - 8*s = 0. Calculate s.
0, 2/19, 2
Factor -d**2/5 + 28*d - 980.
-(d - 70)**2/5
Find p such that -2*p**4/15 + 4*p**3/5 = 0.
0, 6
Suppose 12*h**3 + 10*h**2 + 4*h/3 = 0. What is h?
-2/3, -1/6, 0
Solve 5*c**3 - 905*c**2 + 1795*c - 895 = 0.
1, 179
Factor -p**3/4 - 23*p**2/4 - 39*p/4 + 63/4.
-(p - 1)*(p + 3)*(p + 21)/4
Let n**2 - 10*n/3 - 8/3 = 0. Calculate n.
-2/3, 4
Factor 5*x**4 + 1155*x**3 + 1145*x**2 - 1155*x - 1150.
5*(x - 1)*(x + 1)**2*(x + 230)
Factor -518*f**3/11 + 2076*f**2/11 - 16*f/11.
-2*f*(f - 4)*(259*f - 2)/11
Factor i**4 - 101*i**3 + 2520*i**2 + 27200*i - 1216000.
(i - 40)**3*(i + 19)
Factor 5*o**4/3 - 20*o**3/3 - 60*o**2 + 240*o.
5*o*(o - 6)*(o - 4)*(o + 6)/3
Let -2*m**3 + 4*m**2 = 0. What is m?
0, 2
Factor -2*g**3/7 - 12*g**2/7 + 32*g/7.
-2*g*(g - 2)*(g + 8)/7
Suppose -5*s**2 + 1255*s - 6150 = 0. Calculate s.
5, 246
Factor k**3/6 - 235*k**2/6 - 2*k/3 + 470/3.
(k - 235)*(k - 2)*(k + 2)/6
Determine m, given that -260*m**5/23 - 14*m**4 - 64*m**3/23 - 2*m**2/23 = 0.
-1, -1/5, -1/26, 0
Find a, given that 6*a**5/11 - 14*a**4 + 784*a**3/11 - 456*a**2/11 = 0.
0, 2/3, 6, 19
Solve -v**2/3 + 253*v/3 - 502/3 = 0 for v.
2, 251
Factor -4*t**2 - 48*t - 108.
-4*(t + 3)*(t + 9)
Let 2*q**4 - 56*q**3 + 584*q**2 - 2688*q + 4608 = 0. Calculate q.
6, 8
Suppose 4*h**5 - 5510*h**4 + 1890608*h**3 + 4749962*h**2 + 3806040*h + 952200 = 0. Calculate h.
-1, -1/2, 690
Factor 2*j**3/7 + 4968*j**2/7 + 4113504*j/7 + 1135327104/7.
2*(j + 828)**3/7
What is y in 2*y**5/11 + 28*y**4/11 + 92*y**3/11 + 128*y**2/11 + 82*y/11 + 20/11 = 0?
-10, -1
Suppose 3*g**2 - 228*g + 1980 = 0. Calculate g.
10, 66
Factor -4*o**3 + 1414*o**2 - 126016*o + 185856.
-2*(o - 176)**2*(2*o - 3)
Solve -13*o**2/11 + 2355*o/11 - 362/11 = 0 for o.
2/13, 181
Solve 5*l**4 - 340*l**3 + 6420*l**2 - 21760*l + 20480 = 0.
2, 32
Let -3*r**2 + 4056*r - 1370928 = 0. What is r?
676
Factor 2*d**5/3 - 4*d**4/3 - 4*d**3 + 40*d**2/3 - 38*d/3 + 4.
2*(d - 2)*(d - 1)**3*(d + 3)/3
What is w in 3*w**3 - 180*w**2 + 3276*w - 16224 = 0?
8, 26
What is g in -55*g**2 - 560*g - 100 = 0?
-10, -2/11
Factor m**4 + 36*m**3 + 324*m**2.
m**2*(m + 18)**2
Find x such that 2*x**5 + x**4 - 17*x**3 - 16*x**2 + 12*x = 0.
-2, 0, 1/2, 3
Factor -11520*g**4 + 8160*g**3 + 3115*g**2 + 245*g.
-5*g*(g - 1)*(48*g + 7)**2
Determine f so that -2*f**4 + 24*f**3 - 102*f**2 + 176*f - 96 = 0.
1, 3, 4
Let -5*q**2 - 140*q + 145 = 0. Calculate q.
-29, 1
Find j such that -j**4/7 + j**3/7 = 0.
0, 1
Factor -2*c**2 - 15*c + 8.
-(c + 8)*(2*c - 1)
Factor -2*c**3/7 + 10*c**2/7 + 16*c/7 - 24/7.
-2*(c - 6)*(c - 1)*(c + 2)/7
Factor -3*a**3/4 + 21*a**2/4 + 918*a + 10449.
-3*(a - 43)*(a + 18)**2/4
Suppose 5*l**3 + 240*l**2 - 20*l - 960 = 0. What is l?
-48, -2, 2
Find t such that -2*t**2/5 - 122*t/5 - 24 = 0.
-60, -1
Determine q, given that 4*q**4 - 16*q**3 - 12*q**2 + 40*q + 32 = 0.
-1, 2, 4
Factor -3*r**4 + 36*r**3 + 231*r**2 + 396*r + 204.
-3*(r - 17)*(r + 1)*(r + 2)**2
Let 2*z**4/5 - 316*z**3/5 + 17202*z**2/5 - 74576*z + 556960 = 0. Calculate z.
20, 59
Let 5*r**5 + 52*r**4 + 135*r**3 + 116*r**2 + 28*r = 0. What is r?
-7, -2, -1, -2/5, 0
Find p such that 4*p**5 + 8*p**4 - 12*p**3 = 0.
-3, 0, 1
Factor -d**5/4 + 4*d**4 - 24*d**3 + 64*d**2 - 64*d.
-d*(d - 4)**4/4
Solve 100*t**3 + 880*t**2 + 1845*t - 405 = 0.
-9/2, 1/5
Factor 4*z**3 - 1568*z**2 + 159744*z - 1179648.
4*(z - 192)**2*(z - 8)
Find h, given that 36*h**2 - 384*h + 1024 = 0.
16/3
Determine y, given that -1138*y**2 + 2272*y + 8 = 0.
-2/569, 2
Let -2*q**3 - 27*q**2/2 - 19*q - 15/2 = 0. Calculate q.
-5, -1, -3/4
Factor 3*m**5 - 12*m**4 - 21*m**3 + 30*m**2.
3*m**2*(m - 5)*(m - 1)*(m + 2)
Determine u so that -360*u**5/7 + 12504*u**4/7 - 20914*u**3/7 + 10688*u**2/7 - 2050*u/7 + 132/7 = 0.
1/6, 2/5, 1, 33
Suppose -2*w**2/9 - 20*w/3 + 62/9 = 0. Calculate w.
-31, 1
What is n in -45*n**4/4 + 75*n**3/2 + 535*n**2/4 - 215*n + 75 = 0?
-3, 2/3, 5
Factor 9*a**2 + 384*a - 129.
3*(a + 43)*(3*a - 1)
Solve -3*m**4 - 24*m**3 - 45*m**2 + 24*m + 48 = 0 for m.
-4, -1, 1
Let -15*p**2 - 1910*p - 635 = 0. What is p?
-127, -1/3
Solve -10*f**5/19 + 16*f**4/19 + 248*f**3/19 - 404*f**2/19 + 50*f/19 + 100/19 = 0 for f.
-5, -2/5, 1, 5
Suppose 4*v**4/5 - 282*v**3/5 - 722*v**2/5 - 582*v/5 - 146/5 = 0. Calculate v.
-1, -1/2, 73
Let -3*l**4/4 + 7*l**3 - 27*l**2/2 + 9*l - 7/4 = 0. Calculate l.
1/3, 1, 7
Factor -b**4 + 21*b**3 + 22*b**2.
-b**2*(b - 22)*(b + 1)
Solve -l**5 - 75*l**4 - 1368*l**3 + 1444*l**2 = 0 for l.
-38, 0, 1
Factor s**4 + 26*s**3 - 147*s**2 + 244*s - 124.
(s - 2)**2*(s - 1)*(s + 31)
Suppose -2*t**3 + 1566*t**2 - 408726*t + 35559162 = 0. What is t?
261
Factor 5*y**4/6 + 3*y**3 - 2*y**2/3 - 12*y - 32/3.
(y - 2)*(y + 2)**2*(5*y + 8)/6
Factor 3*u**4 + 36*u**3 - 126*u**2 + 132*u - 45.
3*(u - 1)**3*(u + 15)
Factor -2*t**4/7 + 240*t**3/7 - 7884*t**2/7 + 41040*t/7 - 58482/7.
-2*(t - 57)**2*(t