
Factor y**2 - 19*y - 560.
(y - 35)*(y + 16)
Factor -9*w**4 + 84*w**3 - 189*w**2 + 54*w.
-3*w*(w - 6)*(w - 3)*(3*w - 1)
Find y, given that -y**4/7 - 4624*y**3/7 - 5349966*y**2/7 - 10686064*y/7 - 5340721/7 = 0.
-2311, -1
Factor -2*y**2 + 84*y - 160.
-2*(y - 40)*(y - 2)
Factor 3*a**2 + 288*a + 6912.
3*(a + 48)**2
Determine y so that -4*y**2 - 6688*y - 2795584 = 0.
-836
Factor 2*g**3 + 130*g**2 + 1854*g + 7614.
2*(g + 9)**2*(g + 47)
Find u, given that 3*u**4/5 - 108*u**3/5 + 1071*u**2/5 - 1734*u/5 = 0.
0, 2, 17
Solve 4*l**3 - 836*l**2 - 4*l + 836 = 0 for l.
-1, 1, 209
Solve -4*f**3 - 8*f**2 + 180*f + 504 = 0.
-6, -3, 7
Factor x**2/3 - 2*x + 3.
(x - 3)**2/3
Factor -3*g**3 + 1035*g**2/4 - 11223*g/2 + 5547/4.
-3*(g - 43)**2*(4*g - 1)/4
Factor 2*o**2/7 + 7750*o/7 + 7748/7.
2*(o + 1)*(o + 3874)/7
What is h in 5*h**5 + 15*h**4 + 5*h**3 - 15*h**2 - 10*h = 0?
-2, -1, 0, 1
Let 2*d**5 + 20*d**4 - 54*d**3 - 72*d**2 = 0. What is d?
-12, -1, 0, 3
Solve -3*a**4 + 3*a**3 + 69*a**2 + 9*a - 270 = 0 for a.
-3, 2, 5
Solve 5*r**2 - 27640*r + 38198480 = 0.
2764
Find n, given that 2*n**4/3 + 60*n**3 + 118*n**2 + 176*n/3 = 0.
-88, -1, 0
Solve 2*z**5 + 21*z**4 - z**3 - 99*z**2 + 107*z - 30 = 0 for z.
-10, -3, 1/2, 1
Let 2*x**3/7 - 10*x**2/7 - 18*x/7 + 90/7 = 0. What is x?
-3, 3, 5
Let -5*i**3 + 40*i**2 - 95*i + 60 = 0. What is i?
1, 3, 4
Determine g so that 2*g**2/11 - 112*g/11 + 318/11 = 0.
3, 53
Let -3*g**4 - 15*g**3 + 117*g**2 + 795*g + 1050 = 0. Calculate g.
-5, -2, 7
Solve -9*q**5/2 - 309*q**4/8 - 363*q**3/8 + 33*q**2 + 21*q/2 = 0.
-7, -2, -1/4, 0, 2/3
Let 3*l**2/2 + 3*l - 120 = 0. What is l?
-10, 8
Factor -3*b**3/8 + 27*b**2/4 + 327*b/8 + 207/4.
-3*(b - 23)*(b + 2)*(b + 3)/8
Solve -4*n**2 - 17336*n - 18783556 = 0 for n.
-2167
Factor -2*b**3/3 + 14*b**2/9 + 28*b + 160/9.
-2*(b - 8)*(b + 5)*(3*b + 2)/9
Let -2*w**3/3 + 4*w**2/3 + 14*w + 12 = 0. What is w?
-3, -1, 6
Find m such that -20*m**4/3 - 236*m**3/9 + 916*m**2/9 + 340*m/3 - 8 = 0.
-6, -1, 1/15, 3
Find q such that 12*q**3 - 340*q**2 - 232*q = 0.
-2/3, 0, 29
Determine z, given that -6*z**4 + 392*z**3/3 + 502*z**2/3 + 92*z/3 = 0.
-1, -2/9, 0, 23
Factor -r**5 + 3*r**3 - 2*r**2.
-r**2*(r - 1)**2*(r + 2)
Suppose o**4 + 262*o**3/3 + 277*o**2 - 760*o/3 - 112 = 0. Calculate o.
-84, -4, -1/3, 1
Factor 2*n**2 - 1232*n + 189728.
2*(n - 308)**2
Find g, given that -3*g**2 - 705*g = 0.
-235, 0
Factor -4*w**4 - 16*w**3 + 12*w**2 + 72*w.
-4*w*(w - 2)*(w + 3)**2
Factor 2*x**5/3 + 14*x**4/3 - 4*x**3/3 - 92*x**2/3 + 130*x/3 - 50/3.
2*(x - 1)**3*(x + 5)**2/3
Factor -24*f**2/5 + 77*f - 16/5.
-(f - 16)*(24*f - 1)/5
Suppose s**2/3 + 53*s/3 - 110/3 = 0. Calculate s.
-55, 2
Factor -703298*i**3/7 + 708042*i**2/7 - 4752*i/7 + 8/7.
-2*(i - 1)*(593*i - 2)**2/7
Factor 4*d**3 - 72*d**2 + 240*d + 800.
4*(d - 10)**2*(d + 2)
Let 5*g**2 + 580*g - 585 = 0. What is g?
-117, 1
Solve -q**4 - 5*q**3 - 6*q**2 = 0.
-3, -2, 0
Let 2*r**3 + 224*r**2 - 456*r = 0. Calculate r.
-114, 0, 2
Factor -45602*g**2/5 + 7248*g/5 - 288/5.
-2*(151*g - 12)**2/5
Find k, given that -3*k**3/7 - 60*k**2 - 828*k/7 = 0.
-138, -2, 0
Determine n so that n**3 + 25*n**2 + 24*n = 0.
-24, -1, 0
Suppose 2*j**2/9 + 15076*j/9 + 28410722/9 = 0. Calculate j.
-3769
Factor 2*z**4 - 16*z**3 + 44*z**2 - 48*z + 18.
2*(z - 3)**2*(z - 1)**2
Factor -4*i**5 - 68*i**4 - 52*i**3 + 212*i**2 + 328*i + 128.
-4*(i - 2)*(i + 1)**3*(i + 16)
Factor h**3 - 52*h**2/3 + 17*h/3.
h*(h - 17)*(3*h - 1)/3
Factor 2*t**2 + 332*t - 334.
2*(t - 1)*(t + 167)
Let 375*t**4 - 8700*t**3 + 10080*t**2 - 3984*t + 528 = 0. What is t?
2/5, 22
Factor i**2 - 20*i - 69.
(i - 23)*(i + 3)
Determine y, given that -y**2 + 2388*y - 2387 = 0.
1, 2387
Suppose -s**3 + 28*s**2 + 97*s - 124 = 0. What is s?
-4, 1, 31
What is o in 18*o**5 + 39*o**4 + 24*o**3 + 3*o**2 = 0?
-1, -1/6, 0
Factor -2*u**4 - 920*u**3 - 1832*u**2.
-2*u**2*(u + 2)*(u + 458)
Determine k, given that -2*k**5/3 - 8*k**4/3 + 2*k**3/3 + 8*k**2/3 = 0.
-4, -1, 0, 1
Factor -2*l**5/3 - 44*l**4/3 - 72*l**3 - 400*l**2/3 - 256*l/3.
-2*l*(l + 2)**3*(l + 16)/3
Factor 4*x**5/3 + 4*x**4/3 - 80*x**3/3 + 64*x**2/3 + 256*x/3 - 320/3.
4*(x - 2)**3*(x + 2)*(x + 5)/3
Factor p**2 + 27*p + 110.
(p + 5)*(p + 22)
Factor 5*j**2 - 300*j + 580.
5*(j - 58)*(j - 2)
Determine l, given that 2*l**3/9 - 224*l**2/9 + 8096*l/9 - 30976/3 = 0.
24, 44
Suppose p**3/6 + 355*p**2/6 + 59*p = 0. What is p?
-354, -1, 0
Suppose i**4/6 - i**3/6 - 2*i**2 - 2*i/3 + 8/3 = 0. Calculate i.
-2, 1, 4
What is c in -2*c**2 + 348*c - 688 = 0?
2, 172
Factor 5*q**3/4 + 5*q**2/4 - 25*q/4 + 15/4.
5*(q - 1)**2*(q + 3)/4
Find t, given that -5*t**2 + 55*t + 210 = 0.
-3, 14
Determine c so that -4*c**3/5 - 452*c**2/5 - 2508*c + 12996/5 = 0.
-57, 1
Factor -r**4 - 11*r**3 - 19*r**2 - 9*r.
-r*(r + 1)**2*(r + 9)
Factor -2*h**4 + 54*h**3 - 100*h**2.
-2*h**2*(h - 25)*(h - 2)
Find q, given that -2*q**4/19 + 68*q**3/19 - 728*q**2/19 + 2352*q/19 = 0.
0, 6, 14
What is s in 2*s**5/15 - 26*s**4/15 + 16*s**3/3 - 24*s**2/5 = 0?
0, 2, 9
Factor d**2/4 - 27*d/2 + 53/4.
(d - 53)*(d - 1)/4
Determine v so that 3*v**5 - 12*v**4 - 6*v**3 + 24*v**2 + 3*v - 12 = 0.
-1, 1, 4
Let 6*o**2/7 + 2154*o/7 + 2148/7 = 0. Calculate o.
-358, -1
Factor -u**3/2 - 9*u**2/2 + 45*u.
-u*(u - 6)*(u + 15)/2
Suppose p**5/3 - 4*p**4/3 + p**3/3 + 2*p**2 = 0. Calculate p.
-1, 0, 2, 3
Find g, given that 4*g**2/9 - 536*g/9 - 60 = 0.
-1, 135
Solve -5*h**5 + 25*h**4 - 15*h**3 - 45*h**2 = 0 for h.
-1, 0, 3
Factor k**3 + 159*k**2 + 6399*k + 6241.
(k + 1)*(k + 79)**2
Factor -2*v**4/3 - 116*v**3/3 - 112*v**2 - 332*v/3 - 110/3.
-2*(v + 1)**3*(v + 55)/3
Find n such that 3*n**2 - 51*n + 126 = 0.
3, 14
Factor u**2 - 52*u + 51.
(u - 51)*(u - 1)
Factor 3*g**2 - 312*g + 8112.
3*(g - 52)**2
Factor 4*l**2/3 - 2648*l/3 - 884.
4*(l - 663)*(l + 1)/3
Let 3*p**5/5 + 162*p**4/5 + 1842*p**3/5 - 9228*p**2/5 + 12267*p/5 - 5046/5 = 0. What is p?
-29, 1, 2
Factor 5*i**2 + 11145*i + 11140.
5*(i + 1)*(i + 2228)
Factor -2*k**2/5 - 196*k/5 - 4802/5.
-2*(k + 49)**2/5
Factor -5*w**4 - 180*w**3 - 795*w**2 - 620*w.
-5*w*(w + 1)*(w + 4)*(w + 31)
Factor 3*t**4 - 310*t**3 + 8212*t**2 - 10506*t + 2601.
(t - 51)**2*(t - 1)*(3*t - 1)
Find d such that 2*d**5/11 - 42*d**4/11 - 190*d**3/11 - 246*d**2/11 - 100*d/11 = 0.
-2, -1, 0, 25
Factor -2*s**3 + 38*s + 60.
-2*(s - 5)*(s + 2)*(s + 3)
Find x, given that -3*x**5 + 15*x**4 - 3*x**3 - 51*x**2 + 66*x - 24 = 0.
-2, 1, 4
Solve 2*y**4 + 3174*y**3 - 9534*y**2 + 9538*y - 3180 = 0 for y.
-1590, 1
Factor j**3 + j**2.
j**2*(j + 1)
Factor -4*m**2 + 7408*m.
-4*m*(m - 1852)
Find s, given that 3*s**3 - 337*s**2 - 3130*s - 1936 = 0.
-8, -2/3, 121
Let -2*f**3/3 + 108*f**2 - 5832*f + 104976 = 0. What is f?
54
Factor 5*r**3 - 10*r**2 - 5*r + 10.
5*(r - 2)*(r - 1)*(r + 1)
Let -6*x**5 - 32*x**4 - 30*x**3 + 36*x**2 = 0. Calculate x.
-3, 0, 2/3
Find a such that -a**4/3 - 8*a**3/9 + a**2/3 + 4*a/3 - 4/9 = 0.
-2, 1/3, 1
Let -3*d**2/7 - 99*d/7 - 186/7 = 0. Calculate d.
-31, -2
Let -2*l**5 - 12*l**4 + 48*l**3 + 308*l**2 - 270*l - 1800 = 0. What is l?
-5, -3, 3, 4
Solve -s**2/2 - 709*s/2 - 707 = 0 for s.
-707, -2
Solve -3*z**4/5 - 4*z**3/5 + 14*z**2/5 - 4*z/5 - 3/5 = 0.
-3, -1/3, 1
Find r, given that r**4 - 1297*r**3 + 419903*r**2 + 421201*r = 0.
-1, 0, 649
Suppose 2*n**2 - 14*n - 16 = 0. Calculate n.
-1, 8
Suppose p**2/5 + 25*p + 484/5 = 0. Calculate p.
-121, -4
Let -10*i**3/7 - 244*i**2/7 - 1046*i/7 - 380/7 = 0. Calculate i.
-19, -5, -2/5
Determine g so that 2*g**3/15 + 42*g**2/5 + 74*g + 530/3 = 0.
-53, -5
Factor 4*s**4/5 + s**3 + s**2/5.
s**2*(s + 1)*(4*s + 1)/5
Factor -w**4/6 + 4*w**3 - 157*w**2/6 + 11*w + 484/3.
-(w - 11)**2*(w - 4)*(w + 2)/6
Determine w so that 2*w**2/9 + 30*w + 2032/9 = 0.
-127, -8
Factor 3*q**4 + 2034*q**3 + 342723*q**2 - 691560*q + 346800.
3*(q - 1)**2*(q + 340)**2
Solve -2*v**4/3 - 10*v**3/3 + 14*v**2 - 46*v/3 + 16/3 = 0 for v.
-8, 1
Suppose 2*w**2/13 - 272*w/13 + 9248/13 = 0. What is w?
68
Factor -2*p**3/7 + 6*p**2/7 + 8*p/7 - 24/7.
-2*(p - 3)*(p - 2)*(p + 2)/7
Let -4*d**3 - 92*d**2 + 104*d + 192 = 0. Calculate d.
-24, -1, 2
Factor 2*p**5/7 - 172*p**4/7 + 170*p**3/7.
2*p**3*(p - 85)*(p - 1)/7
Factor 2*o**4/5 - 7992*o**3/5 + 11976012*o**2/5 - 7976023992*o/5 + 1992011992002/5.
2*(o - 999)**4/5
Suppose -3*w**3 + 6*w**2 + 12*w - 24 = 0. Calculate w.
-2, 2
Factor q**4/2 + q