h - 35 = 0. Calculate h.
-7, -1, 1
Suppose -3*y**3 + 2379*y**2 - 468048*y - 1425636 = 0. What is y?
-3, 398
Solve 2*p**5/15 + 68*p**4/15 + 244*p**3/15 + 112*p**2/15 - 82*p/5 - 12 = 0 for p.
-30, -3, -1, 1
What is x in -25*x**5/2 + 155*x**4/4 - 7*x**3/4 - 23*x**2/4 - 3*x/4 = 0?
-1/5, 0, 1/2, 3
Find m such that -15*m**4 + 155*m**3 + 50*m**2 - 940*m - 600 = 0.
-2, -2/3, 3, 10
Find z, given that 3*z**5/5 + 54*z**4 + 1155*z**3 - 2928*z**2 - 9108*z - 25392/5 = 0.
-46, -1, 4
Factor y**2/2 + 113*y/2 - 115.
(y - 2)*(y + 115)/2
Find d, given that -3*d**2 + 12*d - 9 = 0.
1, 3
Factor -75*j**4 + 1710*j**3 + 2124*j**2 + 4296*j/5 + 576/5.
-3*(j - 24)*(5*j + 2)**3/5
Factor -12*c**4/5 - 4*c**3/5 + 8*c**2/5.
-4*c**2*(c + 1)*(3*c - 2)/5
Suppose 4*d**5/7 + 6*d**4/7 - 16*d**3/7 + 6*d**2/7 = 0. Calculate d.
-3, 0, 1/2, 1
Find o such that 285*o**2 + 265*o - 20 = 0.
-1, 4/57
Let 5*r**4 - 190*r**3 + 1605*r**2 + 3800*r + 2000 = 0. Calculate r.
-1, 20
Solve s**5/5 + 6*s**4/5 + s**3 = 0 for s.
-5, -1, 0
Let 6*s**5/7 - 22*s**4/7 - 66*s**3/7 + 142*s**2/7 - 60*s/7 = 0. Calculate s.
-3, 0, 2/3, 1, 5
Suppose 5*w**2 + 1800*w - 1805 = 0. What is w?
-361, 1
Suppose -2*i**3 + 14*i**2 + 56*i + 40 = 0. Calculate i.
-2, -1, 10
Solve 2*i**3/3 - 10*i**2/3 - 154*i/3 + 294 = 0 for i.
-9, 7
Factor 6*m**3 - 27*m**2/4 + 3*m/4.
3*m*(m - 1)*(8*m - 1)/4
Solve 2*t**3 - 210*t**2 - 426*t - 214 = 0 for t.
-1, 107
Factor -2*a**2/3 - 128*a/3 + 130/3.
-2*(a - 1)*(a + 65)/3
Determine p so that p**5/3 - 11*p**4/3 + 29*p**3/3 + 11*p**2/3 - 10*p = 0.
-1, 0, 1, 5, 6
Determine x so that -5*x**5 - 30*x**4 + 15*x**3 + 80*x**2 - 60*x = 0.
-6, -2, 0, 1
Factor m**3 - 56*m**2 + 159*m.
m*(m - 53)*(m - 3)
Suppose -2*v**4 - 130*v**3 - 488*v**2 = 0. Calculate v.
-61, -4, 0
Factor 3*q**2 - 174*q + 336.
3*(q - 56)*(q - 2)
Factor j**3/2 + 85*j**2/2 + 41*j - 84.
(j - 1)*(j + 2)*(j + 84)/2
Suppose 4*w**5/5 + 76*w**4 + 8032*w**3/5 - 46816*w**2/5 + 15680*w - 8000 = 0. Calculate w.
-50, 1, 2
Factor 2*l**3/5 - 6384*l**2/5 + 6792576*l/5 - 2409100288/5.
2*(l - 1064)**3/5
Determine q, given that 2*q**4 + 478*q**3 - 1470*q**2 - 4366*q - 2420 = 0.
-242, -1, 5
Solve -5*c**4 - 80*c**3 - 290*c**2 - 120*c + 495 = 0.
-11, -3, 1
Determine f so that 3*f**2 - 1161*f + 3456 = 0.
3, 384
Suppose -12*w**4 + 165*w**3 - 378*w**2 + 159*w + 66 = 0. What is w?
-1/4, 1, 2, 11
Determine l, given that -3*l**5 + 30*l**4 + 3*l**3 - 30*l**2 = 0.
-1, 0, 1, 10
Find r, given that -36*r**2 + 392*r + 44 = 0.
-1/9, 11
Factor -2*t**4 - 516*t**3 - 1536*t**2 - 1532*t - 510.
-2*(t + 1)**3*(t + 255)
Suppose -2*b**4/11 - 28*b**3/11 + 186*b**2/11 - 92*b/11 - 304/11 = 0. Calculate b.
-19, -1, 2, 4
Factor 2*d**3/7 - 8*d**2/7 + 6*d/7.
2*d*(d - 3)*(d - 1)/7
Factor -k**4/4 - 4*k**3 - 21*k**2/4 + 47*k/2 - 14.
-(k - 1)**2*(k + 4)*(k + 14)/4
Factor 2*h**4 - 20*h**3 + 42*h**2 + 80*h - 200.
2*(h - 5)**2*(h - 2)*(h + 2)
Let -4*i**2 - 3528*i = 0. What is i?
-882, 0
Determine o, given that 5*o**2 + 305*o + 300 = 0.
-60, -1
Find i, given that -4*i**5 + 32*i**4 - 24*i**3 - 32*i**2 + 28*i = 0.
-1, 0, 1, 7
Factor 5*d**2 - 250*d + 245.
5*(d - 49)*(d - 1)
Factor 3*r**3/2 + 261*r**2/2.
3*r**2*(r + 87)/2
Factor 4*w**3/3 - 44*w**2/3 + 40*w/3.
4*w*(w - 10)*(w - 1)/3
Let -t**2/3 + 197*t/3 = 0. Calculate t.
0, 197
Let 18*k**5/5 - 176*k**4/5 + 554*k**3/5 - 588*k**2/5 + 128*k/5 + 64/5 = 0. What is k?
-2/9, 1, 4
Let -32*y**5/5 - 112*y**4 - 458*y**3 + 310*y**2 + 234*y + 162/5 = 0. Calculate y.
-9, -1/4, 1
What is m in 44*m**3 + 784*m**2 - 144*m = 0?
-18, 0, 2/11
Factor 4*o**3 - 576*o**2 - 2352*o - 2368.
4*(o - 148)*(o + 2)**2
Factor r**5 - 6*r**4 - 3*r**3 + 20*r**2 - 12*r.
r*(r - 6)*(r - 1)**2*(r + 2)
Factor u**4 + 10*u**3 + 33*u**2 + 44*u + 20.
(u + 1)*(u + 2)**2*(u + 5)
Factor 2*r**3 - 130*r**2 + 254*r - 126.
2*(r - 63)*(r - 1)**2
Suppose 29*r**2/5 - 3*r/5 = 0. What is r?
0, 3/29
Determine g, given that 3*g**2/5 - 8*g/5 = 0.
0, 8/3
Suppose -16*j**2 + 252*j + 64 = 0. Calculate j.
-1/4, 16
Solve -m**2/10 + 3*m/5 + 27/10 = 0.
-3, 9
Let 2*v**4 - 16*v**3 + 36*v**2 - 32*v + 10 = 0. What is v?
1, 5
Suppose 10*w**2/17 + 2896*w/17 - 1160/17 = 0. What is w?
-290, 2/5
Let 5*n**5 + 30*n**4 + 60*n**3 + 50*n**2 + 15*n = 0. What is n?
-3, -1, 0
Suppose 7*y**5/6 - 11*y**4/2 - 5*y**3/3 = 0. Calculate y.
-2/7, 0, 5
Factor 5*h**3 - 115*h**2 - 5*h + 115.
5*(h - 23)*(h - 1)*(h + 1)
Factor 2*r**2 - 62*r + 420.
2*(r - 21)*(r - 10)
Factor 2*r**2/11 - 74*r/11 - 4216/11.
2*(r - 68)*(r + 31)/11
Find f such that -2*f**5 + 28*f**4 - 24*f**3 - 28*f**2 + 26*f = 0.
-1, 0, 1, 13
Factor -3*f**2/5 - 9*f - 78/5.
-3*(f + 2)*(f + 13)/5
Factor -8*v**4 + 4*v**3 + 4*v**2.
-4*v**2*(v - 1)*(2*v + 1)
Factor 6*u**4/5 - 78*u**3/5 + 246*u**2/5 - 282*u/5 + 108/5.
6*(u - 9)*(u - 2)*(u - 1)**2/5
Determine k so that -2*k**2/9 + 280*k/9 - 278/9 = 0.
1, 139
What is h in -51*h**5/2 + 601*h**4 - 3404*h**3 - 1680*h**2 + 576*h = 0?
-2/3, 0, 4/17, 12
Factor 2*u**2 + 30*u - 1292.
2*(u - 19)*(u + 34)
Factor -5*c**3 - 750*c**2 + 765*c + 1510.
-5*(c - 2)*(c + 1)*(c + 151)
Factor -675*j**3 - 585*j**2 + 87*j - 3.
-3*(j + 1)*(15*j - 1)**2
Factor -q**2 - 83*q/8 - 15/4.
-(q + 10)*(8*q + 3)/8
Factor 2*r**2/7 - 2810*r/7 - 804.
2*(r - 1407)*(r + 2)/7
Suppose -4*s**3/5 + 12*s**2/5 - 16/5 = 0. Calculate s.
-1, 2
Factor 12*m**4 - 1160*m**3 - 1584*m**2 + 1568*m.
4*m*(m - 98)*(m + 2)*(3*m - 2)
Factor 2*n**4/7 - 16*n**3/7 - 66*n**2/7.
2*n**2*(n - 11)*(n + 3)/7
Factor 2*v**4/21 + 16*v**3/21 - 2*v**2/21 - 16*v/21.
2*v*(v - 1)*(v + 1)*(v + 8)/21
Suppose -4*c**2/9 + 4*c/3 = 0. What is c?
0, 3
Solve 256*t**3 + 2496*t**2 - 636*t + 40 = 0.
-10, 1/8
Factor -2*g**3/11 - 390*g**2/11 - 1746*g - 18818/11.
-2*(g + 1)*(g + 97)**2/11
Factor 2*b**3 + 208*b**2 + 5408*b.
2*b*(b + 52)**2
Factor 3*c**4 - 18*c**3 + 27*c**2.
3*c**2*(c - 3)**2
Determine n, given that 5*n**2 - 140*n = 0.
0, 28
Factor -3*g**5/2 + 3*g**4 + 21*g**3/2 + 6*g**2.
-3*g**2*(g - 4)*(g + 1)**2/2
Factor y**4/2 + 7*y**3/2.
y**3*(y + 7)/2
Factor -2*w**2/17 - 1160*w/17.
-2*w*(w + 580)/17
Suppose -3*s**2/5 - 72*s/5 - 48 = 0. What is s?
-20, -4
Factor 3*f**4 + 12*f**3 - 9*f**2 - 42*f - 24.
3*(f - 2)*(f + 1)**2*(f + 4)
Factor -t**4 - 12*t**3 - 9*t**2 + 22*t.
-t*(t - 1)*(t + 2)*(t + 11)
Factor -l**4 - 3*l**3 + 4*l**2.
-l**2*(l - 1)*(l + 4)
Factor -4*c**3 + 464*c**2 + 3904*c + 7936.
-4*(c - 124)*(c + 4)**2
Solve -b**2/3 + 38*b/3 + 105 = 0.
-7, 45
Determine o, given that -o**5/2 - 45*o**4/2 - 567*o**3/2 - 1323*o**2/2 = 0.
-21, -3, 0
Factor -3*n**3/4 + 39*n**2/4 - 117*n/4 + 81/4.
-3*(n - 9)*(n - 3)*(n - 1)/4
Factor -4*f**4 + 400*f**3 - 2668*f**2 + 6000*f - 4464.
-4*(f - 93)*(f - 3)*(f - 2)**2
Factor -i**2/4 - 1189*i/2 - 1413721/4.
-(i + 1189)**2/4
Factor -2*b**3 - 4*b**2 + 262*b + 264.
-2*(b - 11)*(b + 1)*(b + 12)
Factor q**5/3 + 2*q**4/3 - 3*q**3 - 22*q**2/3 + 4*q/3 + 8.
(q - 3)*(q - 1)*(q + 2)**3/3
Factor 18*f**3/5 + 447*f**2/5 - 15*f.
3*f*(f + 25)*(6*f - 1)/5
Factor j**5 - 10*j**4 - 3*j**3 + 28*j**2 + 20*j.
j*(j - 10)*(j - 2)*(j + 1)**2
Determine t so that 3*t**3 - 1002*t**2 - 6093*t - 9180 = 0.
-3, 340
Solve -5*c**2 - 220*c - 800 = 0 for c.
-40, -4
Determine k so that 2*k**5/17 - 2*k**4/17 - 18*k**3/17 + 18*k**2/17 = 0.
-3, 0, 1, 3
Find a, given that -2*a**3/19 + 448*a**2/19 + 450*a/19 = 0.
-1, 0, 225
Factor 4*g**3 + 28*g**2 - 4*g - 28.
4*(g - 1)*(g + 1)*(g + 7)
Find h such that -4*h**3 - 24*h**2 - 36*h = 0.
-3, 0
Solve q**4/4 + 71*q**3/4 + 1827*q**2/4 + 19845*q/4 + 18522 = 0 for q.
-21, -8
Suppose -4*z**4/7 + 32*z**2/7 - 64/7 = 0. Calculate z.
-2, 2
Factor u**3 - 58*u**2 + 57*u.
u*(u - 57)*(u - 1)
Factor -6*m**2/7 - 42*m - 288/7.
-6*(m + 1)*(m + 48)/7
Let -7*j**5/5 - 39*j**4/5 - 38*j**3/5 + 24*j**2/5 = 0. Calculate j.
-4, -2, 0, 3/7
Suppose 2*w**3 - 18*w**2 + 40*w - 24 = 0. Calculate w.
1, 2, 6
Factor 400*f**5 + 396*f**4 - 4*f**3.
4*f**3*(f + 1)*(100*f - 1)
Factor 4*n**2 + 116*n - 840.
4*(n - 6)*(n + 35)
Suppose 5*i**4 + 100*i**3 - 585*i**2 - 13600*i + 14080 = 0. Calculate i.
-16, 1, 11
Factor -b**2 + 312*b - 24336.
-(b - 156)**2
Factor 4*t**3 + 12*t**2 + 12*t + 4.
4*(t + 1)**3
Factor 4*l**5 - 36*l**4 + 72*l**3 + 16*l**2 - 96*l.
4*l*(l - 6)*(l - 2)**2*(l + 1)
Factor -49*d**3/5 + 589*d**2/5 - 12*d/5.
-d*(d - 12)*(49*d - 1)/5
Factor 3*j**5/2 - 6*j**4 + 9*j**3 - 6*j**2 + 3*j/2.
3*j*(j - 1)**4/2
Factor d**3 - 7*d**2 - d