1000 = 0.
-90, -2, 1
Solve 5*u**5 - 30*u**4 - 60*u**3 + 440*u**2 - 480*u = 0 for u.
-4, 0, 2, 6
Factor 244*r**2/7 - 236*r/7 - 8/7.
4*(r - 1)*(61*r + 2)/7
Factor w**2/7 - 3*w/7 - 10/7.
(w - 5)*(w + 2)/7
Factor 5*g**4 - 80*g**3 + 470*g**2 - 1200*g + 1125.
5*(g - 5)**2*(g - 3)**2
Factor 4*p**2 + 40*p + 96.
4*(p + 4)*(p + 6)
Find r such that 8*r**5 + 1040*r**4 + 45410*r**3 + 680690*r**2 + 647150*r + 159014 = 0.
-43, -1/2
Solve -3*b**3/4 - 9*b**2/4 + 3*b = 0 for b.
-4, 0, 1
Factor j**3/2 - 531*j**2/2 + 93987*j/2 - 5545233/2.
(j - 177)**3/2
Find z, given that z**3/2 + 17*z**2/2 + 20*z - 150 = 0.
-10, 3
Find a, given that 2*a**5/5 - 6*a**4/5 - 2*a**3/5 + 14*a**2/5 - 8/5 = 0.
-1, 1, 2
Factor 3*t**4 - 1773*t**3 + 349281*t**2 - 22936119*t.
3*t*(t - 197)**3
Factor -2*y**5 + 10*y**4 - 8*y**3.
-2*y**3*(y - 4)*(y - 1)
Solve 2*d**4/5 - 6*d**3/5 - 48*d**2/5 + 32*d = 0 for d.
-5, 0, 4
Solve 2*l**2/9 + 34*l/9 - 76/9 = 0 for l.
-19, 2
Suppose 12*z**3 + 316*z**2 + 404*z + 100 = 0. What is z?
-25, -1, -1/3
Find r, given that 4*r**3 + 44*r**2 - 48*r = 0.
-12, 0, 1
Factor -6*b**2 - 2079*b - 3105.
-3*(b + 345)*(2*b + 3)
Factor 4*w**2/3 + 1886*w/3 + 314.
2*(w + 471)*(2*w + 1)/3
Factor -2*x**3/9 - 2*x**2/9 + 428*x/9 - 832/9.
-2*(x - 13)*(x - 2)*(x + 16)/9
Factor -3*m**5 - 372*m**4 - 11898*m**3 - 22692*m**2 - 11163*m.
-3*m*(m + 1)**2*(m + 61)**2
Solve 2*h**4/5 + 18*h**3 + 486*h**2/5 + 142*h + 312/5 = 0 for h.
-39, -4, -1
What is w in -w**3 - w**2 + 4*w + 4 = 0?
-2, -1, 2
Factor b**3/2 + b**2/10.
b**2*(5*b + 1)/10
What is l in 7*l**5/5 + 33*l**4/5 + 32*l**3/5 - 8*l**2 - 48*l/5 + 16/5 = 0?
-2, 2/7, 1
Factor 3*a**2 + 24714*a + 50898483.
3*(a + 4119)**2
Let o**2/6 + 11*o/3 - 203/6 = 0. What is o?
-29, 7
Solve -i**3/6 - 19*i**2/6 + i/6 + 19/6 = 0 for i.
-19, -1, 1
Factor -2*v**2/5 - 12*v - 58/5.
-2*(v + 1)*(v + 29)/5
Solve -2*k**3/9 - 108*k**2 - 5770*k/9 - 1600/3 = 0.
-480, -5, -1
Factor 3*s**3/4 - 9*s/4 - 3/2.
3*(s - 2)*(s + 1)**2/4
Factor 125*w**4 - 7775*w**3 + 9195*w**2 - 2745*w.
5*w*(w - 61)*(5*w - 3)**2
Solve 3*j**3 - 15*j**2 - 291*j - 273 = 0.
-7, -1, 13
Factor -v**3 - 78*v**2 - 1056*v - 3968.
-(v + 8)**2*(v + 62)
Solve t**5 + 9*t**4 - 129*t**3 - 281*t**2 - 144*t = 0 for t.
-16, -1, 0, 9
Solve j**4/3 + 15*j**3 + 56*j**2 + 164*j/3 = 0 for j.
-41, -2, 0
Let k**3/2 - 15*k**2/2 + 27*k/2 - 13/2 = 0. Calculate k.
1, 13
Factor f**3/4 - f**2/2 + f/4.
f*(f - 1)**2/4
Factor 3*u**5 + 12*u**4 - 33*u**3 + 18*u**2.
3*u**2*(u - 1)**2*(u + 6)
Suppose -6*s**3 - 28*s**2 - 26*s + 12 = 0. What is s?
-3, -2, 1/3
Solve -2*t**5 + 22*t**4 + 30*t**3 - 70*t**2 - 28*t + 48 = 0.
-2, -1, 1, 12
Factor i**2 + 30*i + 81.
(i + 3)*(i + 27)
Factor -2*w**2/21 + 52*w/21 - 32/7.
-2*(w - 24)*(w - 2)/21
Find v such that -v**3/12 - v**2/4 + v/3 = 0.
-4, 0, 1
Factor -4*j**4 - 112*j**3 - 1168*j**2 - 5376*j - 9216.
-4*(j + 6)**2*(j + 8)**2
Solve 3*o**2/7 + 135*o/7 + 258/7 = 0 for o.
-43, -2
Suppose -92*p**2/5 + 544*p/5 + 48/5 = 0. Calculate p.
-2/23, 6
Factor 3*y**5/7 + 48*y**4/7 + 264*y**3/7 + 510*y**2/7 - 75*y/7 - 750/7.
3*(y - 1)*(y + 2)*(y + 5)**3/7
Suppose -25*z**4 + 55*z**3 - 35*z**2 + 5*z = 0. What is z?
0, 1/5, 1
Suppose -3*n**5 - 48*n**4 - 114*n**3 + 48*n**2 + 117*n = 0. What is n?
-13, -3, -1, 0, 1
Determine b so that -b**4/9 + 56*b**3/9 - 55*b**2/9 = 0.
0, 1, 55
Find i such that -3*i**5 - 24*i**4 - 30*i**3 + 84*i**2 + 33*i - 60 = 0.
-5, -4, -1, 1
Factor -20*w**4 + 904*w**3 - 9844*w**2 - 8464*w.
-4*w*(w - 23)**2*(5*w + 4)
Factor 2*v**2/5 - 148*v/5 + 2738/5.
2*(v - 37)**2/5
What is a in -32*a**4 + 140*a**3 + 336*a**2 - 144*a = 0?
-2, 0, 3/8, 6
Suppose -4913*r**3/5 + 2601*r**2/5 - 459*r/5 + 27/5 = 0. Calculate r.
3/17
Let -b**3 - 52*b**2 - 725*b - 1250 = 0. What is b?
-25, -2
Determine o so that 45*o**2/4 + 265*o/2 - 30 = 0.
-12, 2/9
Factor k**4/5 - 2*k**3 + 21*k**2/5.
k**2*(k - 7)*(k - 3)/5
Factor -g**2/8 - 29*g/2 - 841/2.
-(g + 58)**2/8
Determine o, given that -3*o**2/2 + 231*o/2 + 2232 = 0.
-16, 93
Suppose -3*x**2 - 2877*x = 0. Calculate x.
-959, 0
Factor 669*c**2 + 675*c + 6.
3*(c + 1)*(223*c + 2)
Suppose -4*o**3 - 168*o**2 + 180*o + 344 = 0. What is o?
-43, -1, 2
Factor -o**4 + 66*o**3 - 793*o**2 - 9768*o - 21904.
-(o - 37)**2*(o + 4)**2
What is u in -u**3/5 - 98*u**2/5 + 203*u/5 + 60 = 0?
-100, -1, 3
Find y, given that y**4 + 512*y**3 + 65536*y**2 = 0.
-256, 0
Solve -8*z**2 - 9*z - 1 = 0 for z.
-1, -1/8
Determine z so that -32*z**4/7 - 88*z**3/7 - 60*z**2/7 + 16*z/7 + 20/7 = 0.
-5/4, -1, 1/2
Factor -i**4 - 100*i**3 - 2182*i**2 + 15900*i - 25281.
-(i - 3)**2*(i + 53)**2
Determine x so that x**3/4 - 17*x**2/4 + 37*x/2 - 22 = 0.
2, 4, 11
Find q such that 2*q**4/7 + 4*q**3/7 - 86*q**2/7 + 80*q/7 = 0.
-8, 0, 1, 5
What is w in 2*w**2 - 38*w/7 - 12/7 = 0?
-2/7, 3
Factor 3*x**5/5 - 18*x**4/5 - 12*x**3/5 + 54*x**2 - 567*x/5 + 324/5.
3*(x - 3)**3*(x - 1)*(x + 4)/5
Determine t so that 98*t**4 - 448*t**3 - 1826*t**2 + 1144*t - 168 = 0.
-3, 2/7, 7
Factor 4*i**3/9 - 2*i**2/9 - 2*i/3.
2*i*(i + 1)*(2*i - 3)/9
Factor 3*k**2 + 6*k - 9.
3*(k - 1)*(k + 3)
Factor 2*r**3/13 + 402*r**2/13 + 20400*r/13 + 20000/13.
2*(r + 1)*(r + 100)**2/13
Factor 4*z**3 + 64*z**2 + 272*z + 320.
4*(z + 2)*(z + 4)*(z + 10)
Solve -2*w**4/15 - 2*w**3/15 + 2*w**2/15 + 2*w/15 = 0.
-1, 0, 1
Factor -8*o**3/9 - 38*o**2/9 + 298*o/9 - 8.
-2*(o - 4)*(o + 9)*(4*o - 1)/9
Find z such that z**2/3 - 528*z + 209088 = 0.
792
Factor 784*o**4 + 3080*o**3 + 3996*o**2 + 15066*o/7 + 2916/7.
2*(o + 2)*(14*o + 9)**3/7
Find x such that -x**3 + 2*x**2 + 36*x - 72 = 0.
-6, 2, 6
Let 3*c**2 - 3492*c + 1016172 = 0. What is c?
582
Let -3*p**5/2 - 5*p**4/2 + 5*p**3/2 + 5*p**2/2 - p = 0. Calculate p.
-2, -1, 0, 1/3, 1
Factor -2*r**3/7 + 78*r**2/7 + 164*r/7.
-2*r*(r - 41)*(r + 2)/7
Solve -3*y**3/4 + 18*y**2 - 567*y/4 + 729/2 = 0 for y.
6, 9
Determine q so that q**4 + 24*q**3 + 45*q**2 + 22*q = 0.
-22, -1, 0
Factor -3*w**2 - 12*w - 9.
-3*(w + 1)*(w + 3)
Let -2*s**3 + 324*s**2 - 17496*s + 314928 = 0. Calculate s.
54
Factor -2*t**3 - 124*t**2.
-2*t**2*(t + 62)
Find n, given that 5*n**4/2 + 895*n**3/2 + 20670*n**2 + 56320*n - 77440 = 0.
-88, -4, 1
Let -14*h**4/9 + 26*h**3/9 + 34*h**2/3 + 70*h/9 + 8/9 = 0. Calculate h.
-1, -1/7, 4
Solve 4*j**5/7 + 270*j**4/7 + 3146*j**3/7 + 3734*j**2/7 - 4398*j/7 - 2756/7 = 0 for j.
-53, -13, -2, -1/2, 1
Factor b**2 + b - 42.
(b - 6)*(b + 7)
Suppose -4*c**5 + 324*c**4 - 6396*c**3 - 6724*c**2 = 0. What is c?
-1, 0, 41
Factor -2*n**4/3 - 6080*n**3/3 - 2310400*n**2 - 3511808000*n/3 - 667243520000/3.
-2*(n + 760)**4/3
What is f in -3*f**3 + 756*f**2 - 54288*f + 807360 = 0?
20, 116
What is y in 2*y**5/3 - 28*y**4/3 - 272*y**3/3 - 476*y**2/3 + 90*y + 168 = 0?
-4, -3, -1, 1, 21
Factor b**3/11 + 40*b**2/11 + 37*b/11 - 78/11.
(b - 1)*(b + 2)*(b + 39)/11
Suppose 2*p**4 - 22*p**3 + 16*p**2 + 40*p = 0. Calculate p.
-1, 0, 2, 10
Let -56*g**5 + 100*g**4 + 1152*g**3 + 1568*g**2 + 128*g - 192 = 0. Calculate g.
-2, -1/2, 2/7, 6
Factor 3*n**2 - 18*n - 648.
3*(n - 18)*(n + 12)
Let -20*v**2 - 36*v - 16 = 0. What is v?
-1, -4/5
Solve -2*j**2/5 + 66*j/5 = 0 for j.
0, 33
Factor -y**4 + 33*y**3 - 1269*y**2/4 + 1485*y/2 - 2025/4.
-(y - 15)**2*(2*y - 3)**2/4
Factor -10*m**3 + 23*m**2 - 12*m.
-m*(2*m - 3)*(5*m - 4)
Factor l**4/6 + 4*l**3/3 - 43*l**2/6 + 29*l/3 - 4.
(l - 2)*(l - 1)**2*(l + 12)/6
Let -2*y**4/9 + 16*y**3/9 + 34*y**2/9 - 40*y/3 - 24 = 0. Calculate y.
-2, 3, 9
What is a in -3*a**5 + 12*a**4 + 348*a**3 + 1038*a**2 - 345*a - 1050 = 0?
-5, -1, 1, 14
Let -4*v**2 + 2240*v + 6756 = 0. Calculate v.
-3, 563
Factor -4*q**3 + 16*q**2 + 20*q.
-4*q*(q - 5)*(q + 1)
Solve 2*x**2 + 550*x - 5112 = 0 for x.
-284, 9
Factor -5*q**4 - 40*q**3 + 55*q**2 + 90*q.
-5*q*(q - 2)*(q + 1)*(q + 9)
Determine h so that -h**2/4 - 5*h/4 - 1 = 0.
-4, -1
Let 2*i**5/9 - 4*i**4/9 - 28*i**3/9 - 16*i**2/9 + 26*i/9 + 20/9 = 0. Calculate i.
-2, -1, 1, 5
Factor -p**2 - 319*p - 318.
-(p + 1)*(p + 318)
Factor -3*z**3 - 477*z**2 + 2442*z - 2952.
-3*(z - 3)*(z - 2)*(z + 164)
Determine h, given that -2*h**2 + 196*h - 570 = 0.
3, 95
Suppose -2*l**5 + 38*l**4 - 68*l**3 - 4*l**2 + 70*l - 34 = 0. What is l?
-1, 1, 17
Factor -3*w**4/4 + 537*w**3 + 2157*w**2 + 2160*w.
-3*w*(w - 720)*(w + 2)**2/4
Find t, given that -21*t**5 + 41*t**4 - 61*t**3/4 - 9*t**2 + 19*t/4 - 1/2 = 0.
-1/2, 1/6, 2/7, 1
Factor 2*m**2 + 