 + 100*a**2 + 375*a/2 - 625.
-(a - 5)**4*(a + 2)/2
Find r such that -2*r**2 - 36*r + 38 = 0.
-19, 1
What is b in 2*b**4 + 20*b**3 + 48*b**2 - 20*b - 50 = 0?
-5, -1, 1
Factor -f**2/3 + 79*f + 1960/3.
-(f - 245)*(f + 8)/3
Let 15*z**4 - 140*z**3 + 165*z**2 - 40*z = 0. Calculate z.
0, 1/3, 1, 8
Solve 27*u**3 - 96*u**2 + 60*u + 48 = 0 for u.
-4/9, 2
Let -343*r**5/5 + 119658*r**4/5 - 339752*r**3/5 + 232688*r**2/5 - 60912*r/5 + 5536/5 = 0. Calculate r.
2/7, 2, 346
Factor -17*f**2/12 + 31*f/12 - 7/6.
-(f - 1)*(17*f - 14)/12
Find k, given that -4*k**3/9 + 24*k**2 + 4*k/9 - 24 = 0.
-1, 1, 54
Factor -2*u**2/3 + 6*u - 28/3.
-2*(u - 7)*(u - 2)/3
Find q, given that -35*q**2 + 2260*q + 975 = 0.
-3/7, 65
Solve 4*l**2 - 228*l - 720 = 0.
-3, 60
Factor -2*u**3/3 + 16*u**2 - 46*u/3.
-2*u*(u - 23)*(u - 1)/3
Factor 4*l**2/9 - 40*l/9.
4*l*(l - 10)/9
Factor h**2/4 - h - 5/4.
(h - 5)*(h + 1)/4
Find r, given that 4*r**4 - 80*r**3 + 312*r**2 + 880*r + 484 = 0.
-1, 11
Factor 5*n**3/7 - 12*n**2 + 297*n/7 + 486/7.
(n - 9)**2*(5*n + 6)/7
Let -2*m**4/13 - 4*m**3/13 + 40*m**2/13 - 48*m/13 = 0. Calculate m.
-6, 0, 2
Solve -g**4 + 3*g**3/2 + 92*g**2 + 267*g/2 + 44 = 0.
-8, -1, -1/2, 11
Determine o, given that -o**4 - 130*o**3 - 5325*o**2 - 71500*o - 302500 = 0.
-55, -10
Suppose -10*a**5/3 - 685*a**4/6 - 2795*a**3/3 + 4765*a**2/6 + 255*a = 0. Calculate a.
-18, -17, -1/4, 0, 1
Find r such that -3*r**3 + 168*r**2 - 1980*r - 10800 = 0.
-4, 30
Determine a so that 2*a**4/11 + 212*a**3 + 61798*a**2 = 0.
-583, 0
Find n such that -n**2 - 274*n - 18769 = 0.
-137
Factor -2*w**4/7 - 36*w**3/7 - 34*w**2/7.
-2*w**2*(w + 1)*(w + 17)/7
Factor -l**4/5 - 8*l**3/5 + 3*l**2/5 + 26*l + 40.
-(l - 4)*(l + 2)*(l + 5)**2/5
Let -j**4/4 + 155*j**3/4 - 307*j**2/4 + 153*j/4 = 0. What is j?
0, 1, 153
Factor -4*q**4 - 16*q**3 + 24*q**2 + 16*q - 20.
-4*(q - 1)**2*(q + 1)*(q + 5)
Suppose -y**3/2 + 13*y**2/4 + 95*y/4 + 11 = 0. Calculate y.
-4, -1/2, 11
Determine b, given that 3*b**5 + 24*b**4 + 63*b**3 + 54*b**2 = 0.
-3, -2, 0
Factor -2*l**2/23 - 58*l/23 - 240/23.
-2*(l + 5)*(l + 24)/23
Factor 805*n**2 - 815*n + 10.
5*(n - 1)*(161*n - 2)
Find l such that -l**3/4 - 13*l**2/4 + 42*l = 0.
-21, 0, 8
Determine i so that -686*i**4/5 - 2646*i**3/5 - 1932*i**2/5 - 104*i - 48/5 = 0.
-3, -2/7
Determine c, given that 7*c**3 - 1692*c**2 - 3387*c/7 - 242/7 = 0.
-1/7, 242
Find r, given that 2*r**5/7 - 4*r**4/7 - 4*r**3/7 + 8*r**2/7 + 2*r/7 - 4/7 = 0.
-1, 1, 2
Factor -3*o**3 + 48*o**2 + 228*o + 240.
-3*(o - 20)*(o + 2)**2
Factor 2*s**4 + 32*s**3 + 146*s**2 + 180*s.
2*s*(s + 2)*(s + 5)*(s + 9)
Solve 4*o**2 + 1288*o + 1284 = 0 for o.
-321, -1
Find i, given that 2*i**5/5 - 52*i**4/5 + 416*i**3/5 - 916*i**2/5 - 418*i/5 + 968/5 = 0.
-1, 1, 4, 11
Solve -2*q**2 + 268*q/5 + 54/5 = 0.
-1/5, 27
Suppose 5*h**3 + 380*h**2 + 740*h = 0. What is h?
-74, -2, 0
Let -3*m**2/4 - 3*m + 9 = 0. What is m?
-6, 2
Factor 10*a**2 + 12374*a + 4948.
2*(a + 1237)*(5*a + 2)
Find l such that -12*l**4/7 + 68*l**3/7 - 12*l**2 - 36*l/7 = 0.
-1/3, 0, 3
What is v in -3*v**4 - 66*v**3 - 225*v**2 - 162*v = 0?
-18, -3, -1, 0
Let -t**5 + 6*t**4 - 4*t**3 - 6*t**2 + 5*t = 0. What is t?
-1, 0, 1, 5
Let c**3/3 + 22*c**2 + 65*c/3 = 0. What is c?
-65, -1, 0
Suppose -5*z**5/4 + 5*z**4 + 25*z**3 + 25*z**2/2 - 95*z/4 - 35/2 = 0. Calculate z.
-2, -1, 1, 7
Factor 2*k**3 + 24*k**2 + 88*k + 96.
2*(k + 2)*(k + 4)*(k + 6)
Factor -4*c**3/17 + 2*c**2/17 + 8*c/17 - 6/17.
-2*(c - 1)**2*(2*c + 3)/17
Factor -5*b**4 + 690*b**3 + 2840*b**2.
-5*b**2*(b - 142)*(b + 4)
Factor -3*o**2 + 351*o + 1452.
-3*(o - 121)*(o + 4)
Solve 2*x**3/9 - 58*x**2/9 - 130*x/9 + 62/3 = 0.
-3, 1, 31
What is m in -4*m**3 - 488*m**2/5 - 1452*m/5 - 504/5 = 0?
-21, -3, -2/5
Let 2*g**5/7 + 6*g**4/7 - 2*g**3/7 - 6*g**2/7 = 0. What is g?
-3, -1, 0, 1
Solve 21*n**4 + 2262*n**3 + 60588*n**2 - 17496*n = 0.
-54, 0, 2/7
Suppose -5*c**5 - 190*c**4 - 1385*c**3 + 20560*c**2 + 247040*c + 225280 = 0. Calculate c.
-16, -1, 11
Find a such that 12*a**4 - 38*a**3 + 40*a**2 - 14*a = 0.
0, 1, 7/6
Factor n**3/8 + 21*n**2/8 - 12*n + 25/2.
(n - 2)**2*(n + 25)/8
Factor 2*a**3/9 + 16*a**2/9 + 10*a/9 - 100/9.
2*(a - 2)*(a + 5)**2/9
Factor 10*a**3/9 + 28*a**2/9 + 26*a/9 + 8/9.
2*(a + 1)**2*(5*a + 4)/9
Factor 3*k**2/5 - 2451*k/5 - 4914/5.
3*(k - 819)*(k + 2)/5
Factor 2*k**5/3 + 772*k**4/3 + 93266*k**3/3 + 2688176*k**2/3 - 97251968*k/3 + 608740352/3.
2*(k - 11)**2*(k + 136)**3/3
Suppose 5*o**5 + 30*o**4 - 235*o**3 + 420*o**2 - 220*o = 0. Calculate o.
-11, 0, 1, 2
Solve -125*j**2 - 1150*j - 2645 = 0 for j.
-23/5
Factor 5*p**4 - 230*p**3 - 475*p**2 - 240*p.
5*p*(p - 48)*(p + 1)**2
Determine f, given that -2*f**5 + 17*f**4 - 50*f**3 + 65*f**2 - 38*f + 8 = 0.
1/2, 1, 2, 4
Factor 13*r**3 - 32*r**2/3 + 4*r/3.
r*(3*r - 2)*(13*r - 2)/3
Factor g**4 + 17*g**3 + 50*g**2 - 176*g.
g*(g - 2)*(g + 8)*(g + 11)
Factor -3*v**3/4 - 15*v**2/4 + 24*v - 27.
-3*(v - 2)**2*(v + 9)/4
Let -3*q**5 + 66*q**4 - 498*q**3 + 1344*q**2 - 147*q - 2058 = 0. What is q?
-1, 2, 7
Factor -1225*q**5 + 1085*q**4 + 136*q**3 + 4*q**2.
-q**2*(q - 1)*(35*q + 2)**2
Factor 2*d**4/3 + 2*d**3/3.
2*d**3*(d + 1)/3
Determine o so that 46*o**3/13 - 878*o**2/13 + 2836*o/13 - 240/13 = 0.
2/23, 4, 15
Factor -m**2/5 + 17*m/5 - 42/5.
-(m - 14)*(m - 3)/5
Factor 3*j**4/2 - 27*j**3 - 90*j**2 - 93*j - 63/2.
3*(j - 21)*(j + 1)**3/2
Find r such that -2*r**3/17 + 148*r**2/17 + 624*r/17 = 0.
-4, 0, 78
Let 2*c**5/9 - 16*c**4/9 + 28*c**3/9 + 16*c**2/9 - 10*c/3 = 0. What is c?
-1, 0, 1, 3, 5
Factor -4*x**4 + 7*x**3 + 14*x**2 + 3*x.
-x*(x - 3)*(x + 1)*(4*x + 1)
Let -68921*n**3 - 30258*n**2 - 4428*n - 216 = 0. Calculate n.
-6/41
Factor -3*n**2/2 - 54*n + 378.
-3*(n - 6)*(n + 42)/2
Factor -2*s**2/9 - 10*s/3 - 100/9.
-2*(s + 5)*(s + 10)/9
Factor -2*r**3/5 - 974*r**2/5 + 976*r/5.
-2*r*(r - 1)*(r + 488)/5
Let 5*n**2 - 1380*n + 95220 = 0. Calculate n.
138
Solve 4*m**4/7 + 12*m**3/7 - 76*m**2/7 - 12*m/7 + 72/7 = 0 for m.
-6, -1, 1, 3
Find n such that -2*n**5 + 10*n**4 + 30*n**3 - 10*n**2 - 28*n = 0.
-2, -1, 0, 1, 7
Solve -m**4 - m**3 + 7*m**2 + m - 6 = 0.
-3, -1, 1, 2
Factor -4*h**2 + 464*h - 13456.
-4*(h - 58)**2
Find f, given that -f**5/4 - 39*f**4 - 2959*f**3/2 + 3398*f**2 + 44319*f/4 + 6241 = 0.
-79, -1, 4
Find h such that 5*h**2 + 25660*h - 25665 = 0.
-5133, 1
Factor -o**3 - 16*o**2 + 39*o + 54.
-(o - 3)*(o + 1)*(o + 18)
Suppose -2*k**5/19 - 202*k**4/19 - 6374*k**3/19 - 63598*k**2/19 - 166496*k/19 + 236672/19 = 0. What is k?
-43, -8, 1
Factor -2*g**4/5 + 140*g**3 + 8592*g**2/5 + 34624*g/5 + 46336/5.
-2*(g - 362)*(g + 4)**3/5
Factor 9*r**2/4 - 885*r/8 + 147/8.
3*(r - 49)*(6*r - 1)/8
Solve f**5 + 6*f**4 + 6*f**3 - 20*f**2 - 39*f - 18 = 0.
-3, -1, 2
Factor 36*f**4 + 224*f**3 + 480*f**2 + 384*f + 64.
4*(f + 2)**3*(9*f + 2)
Solve -a**3 - 25*a**2 + 38*a + 312 = 0 for a.
-26, -3, 4
Solve 2*t**5/21 + 20*t**4/21 + 24*t**3/7 + 16*t**2/3 + 64*t/21 = 0 for t.
-4, -2, 0
Solve 2*m**5/9 + 4*m**4/9 - 4*m**3/3 - 40*m**2/9 - 38*m/9 - 4/3 = 0 for m.
-2, -1, 3
Find b, given that -5*b**4 - 4380*b**3 + 13170*b**2 - 13180*b + 4395 = 0.
-879, 1
Find b such that -30*b**5 + 185*b**4 - 150*b**3 - 160*b**2 + 180*b - 25 = 0.
-1, 1/6, 1, 5
Let 3*n**2 + 2316*n + 2313 = 0. What is n?
-771, -1
Find g, given that 2*g**3/7 + 4*g**2/7 - 26*g/7 + 20/7 = 0.
-5, 1, 2
Let 2*a**2/9 + 496*a/9 = 0. Calculate a.
-248, 0
Solve -4*p**5 - 28*p**4 + 644*p**3 + 5228*p**2 - 640*p - 5200 = 0 for p.
-10, -1, 1, 13
Suppose -4*k**5 + 32*k**4 - 80*k**3 + 40*k**2 + 84*k - 72 = 0. What is k?
-1, 1, 2, 3
Solve -r**2 + 23*r + 860 = 0 for r.
-20, 43
Solve 2*a**2/7 - 12*a/7 + 10/7 = 0.
1, 5
Factor p**4/2 - 13*p**3/2 - 99*p**2/2 + 1573*p/2 - 1331.
(p - 11)**2*(p - 2)*(p + 11)/2
Solve -5*l**5 - 10*l**4 + 15*l**3 + 20*l**2 - 20*l = 0.
-2, 0, 1
Factor 7*r**4/3 + 2*r**3 - 8*r**2/3 - 2*r + 1/3.
(r - 1)*(r + 1)**2*(7*r - 1)/3
Determine k, given that -6*k**4 + 195*k**3 - 1800*k**2 + 3375*k = 0.
0, 5/2, 15
Find x such that 4*x**2/9 - 5596*x/9 + 1864/3 = 0.
1, 1398
Factor 4*g**3 - 36*g**2 - 4*g + 36.
4*(g - 9)*(g - 1)*(g + 1)
Factor -3*u**5 - 18*u**4 - 39*u**3 - 36*u**2 - 12*u.
-3*u*(u + 1)**2*(u + 2)**2
Factor o**3/9 + 100*o**2/9 + 799*o/3 - 578.
(o - 2)*(o + 51)**2/9
What is m in -4*m**5 + 20*m**4 + 32*m**3 - 160*m**2 - 64*m + 320 = 0?
-2, 2, 5
Find t, given that t**4 - 29*t**