r.
2*r*(r - 42)*(r + 2)/3
Let -39*x**3 + 228*x**2 - 315*x - 54 = 0. What is x?
-2/13, 3
Let -4*q**5/3 + 16*q**4/3 + 24*q**3 + 80*q**2/3 + 28*q/3 = 0. What is q?
-1, 0, 7
Solve 12*p**4 + 27*p**3 - 102*p**2 - 243*p - 54 = 0.
-3, -2, -1/4, 3
Determine l, given that -5*l**2 + 45*l - 40 = 0.
1, 8
Factor -3*t**4 + 4125*t**3 - 12357*t**2 + 12351*t - 4116.
-3*(t - 1372)*(t - 1)**3
Factor 5*j**4 - 120*j**3 + 810*j**2 - 2160*j + 2025.
5*(j - 15)*(j - 3)**3
Factor -2*j**4 + 112*j**3/5 - 22*j**2/5.
-2*j**2*(j - 11)*(5*j - 1)/5
What is s in -2*s**2 + 612*s - 46818 = 0?
153
Solve -3*r**2 - 102*r = 0.
-34, 0
Let 50*o**2 + 2*o = 0. What is o?
-1/25, 0
Find b such that -2*b**3/9 - 8*b**2/3 - 70*b/9 - 16/3 = 0.
-8, -3, -1
Solve 21*x**4/2 + 405*x**3/2 + 1317*x**2 + 3006*x + 756 = 0 for x.
-7, -6, -2/7
Let -4*s**3 + 112*s**2 + 236*s + 120 = 0. What is s?
-1, 30
Factor -v**3/4 + 55*v**2/2 + 236*v.
-v*(v - 118)*(v + 8)/4
Factor -2*u**2/3 + 596*u/3 - 198.
-2*(u - 297)*(u - 1)/3
Find u such that u**3 + 9*u**2 - 12*u - 20 = 0.
-10, -1, 2
Solve -2*d**2 - 34*d - 120 = 0.
-12, -5
Suppose -4*h**4/7 - 4*h**3 - 20*h**2/7 + 4*h + 24/7 = 0. What is h?
-6, -1, 1
Solve -24*m**3 - 39*m**2 - 6*m + 9 = 0 for m.
-1, 3/8
Let 4*k**3 + 4*k**2 - 256*k - 256 = 0. What is k?
-8, -1, 8
Determine r, given that -2*r**3/11 + 2*r**2 - 62*r/11 + 42/11 = 0.
1, 3, 7
Suppose -l**2/7 - 6530*l/7 - 10660225/7 = 0. Calculate l.
-3265
Suppose 64*r**5/7 - 464*r**4/7 - 372*r**3/7 - 95*r**2/7 - 8*r/7 = 0. What is r?
-1/4, 0, 8
Factor n**5 + n**4 - 8*n**3 - 8*n**2 + 16*n + 16.
(n - 2)**2*(n + 1)*(n + 2)**2
Find f such that -3*f**3 + 333*f**2 - 324*f - 660 = 0.
-1, 2, 110
Factor -2*l**3/5 - 38*l**2/5 + 44*l/5 + 16.
-2*(l - 2)*(l + 1)*(l + 20)/5
Find z, given that 3*z**4/4 + 3*z**3/2 - 3*z**2/4 - 3*z/2 = 0.
-2, -1, 0, 1
Factor 3*l**2/8 - 149*l/8 + 49/4.
(l - 49)*(3*l - 2)/8
Factor t**5 - 5*t**4 + 3*t**3 + 5*t**2 - 4*t.
t*(t - 4)*(t - 1)**2*(t + 1)
Factor 10*v**4 + 54*v**3 - 300*v**2 + 232*v + 144.
2*(v - 2)**2*(v + 9)*(5*v + 2)
Factor 4*u**2 - 3112*u - 3116.
4*(u - 779)*(u + 1)
Factor 4*a**2 + 264*a.
4*a*(a + 66)
Solve -3*n**4 + 66*n**3 + 300*n**2 + 312*n = 0 for n.
-2, 0, 26
Factor -2*p**3/3 + 62*p**2/3 + 130*p/3 + 22.
-2*(p - 33)*(p + 1)**2/3
Suppose 4*d**5 + 12*d**4 + 4*d**3 - 12*d**2 - 8*d = 0. Calculate d.
-2, -1, 0, 1
Factor 3*n**3/5 - 267*n**2/5 + 1521*n/5 - 2241/5.
3*(n - 83)*(n - 3)**2/5
Factor -s**2/2 + 17*s/2 - 36.
-(s - 9)*(s - 8)/2
Let 123*z**3/7 + 117*z**2/7 - 6*z/7 = 0. What is z?
-1, 0, 2/41
Suppose -3*a**2/2 - 135*a/2 - 129 = 0. What is a?
-43, -2
Suppose 10*k**2/11 - 10096*k/11 - 4040/11 = 0. What is k?
-2/5, 1010
Let -4*u**3 - 27*u**2 + 39*u - 8 = 0. Calculate u.
-8, 1/4, 1
Factor -10*i**2 + 6892*i - 1378.
-2*(i - 689)*(5*i - 1)
Suppose -5*a**4/3 - 29*a**3 - 334*a**2/3 - 40*a = 0. Calculate a.
-12, -5, -2/5, 0
Factor -h**2 + 17*h - 16.
-(h - 16)*(h - 1)
Find g such that g**4/3 + 47*g**3/6 + 109*g**2/6 + 85*g/6 + 7/2 = 0.
-21, -1, -1/2
Factor 5*g**3 - 6385*g**2 + 19120*g - 12740.
5*(g - 1274)*(g - 2)*(g - 1)
Let -3*l**2 - 1437*l = 0. What is l?
-479, 0
Factor -2*z**3/11 + 2*z**2 + 80*z/11 + 56/11.
-2*(z - 14)*(z + 1)*(z + 2)/11
Suppose -a**5 - 26*a**4 - 123*a**3 + 566*a**2 - 416*a = 0. Calculate a.
-16, -13, 0, 1, 2
Factor z**2 - 456*z.
z*(z - 456)
Determine x so that -10*x**3/7 + 18*x**2 - 248*x/7 - 120/7 = 0.
-2/5, 3, 10
Factor -5*o**2 + 3555*o - 3550.
-5*(o - 710)*(o - 1)
Factor -3*s**4 - 168*s**3 - 1995*s**2 + 2166*s.
-3*s*(s - 1)*(s + 19)*(s + 38)
Suppose -35*p**3 + 15*p**2 + 35*p - 15 = 0. Calculate p.
-1, 3/7, 1
Factor c**4/6 + 5*c**3/3 - 527*c**2/6 - 1156*c.
c*(c - 24)*(c + 17)**2/6
Suppose f**3/3 + 108*f**2 - f/3 - 108 = 0. What is f?
-324, -1, 1
What is u in -2*u**5/7 + 4*u**4/7 + 44*u**3/7 - 40*u**2/7 - 186*u/7 + 180/7 = 0?
-3, 1, 2, 5
Factor 75*t**4/4 + 15*t**3/4 - 12*t**2 + 3*t.
3*t*(t + 1)*(5*t - 2)**2/4
Solve -6*m**2/11 + 2260*m/11 + 754/11 = 0.
-1/3, 377
Solve -p**4 - 22*p**3 - 96*p**2 = 0 for p.
-16, -6, 0
Determine t, given that 4*t**3 - 108*t**2 + 288*t = 0.
0, 3, 24
What is v in -9*v**5 + 3*v**4 + 9*v**3 - 3*v**2 = 0?
-1, 0, 1/3, 1
Factor 2*s**2 + 11080*s + 15345800.
2*(s + 2770)**2
Factor 4*x**2/3 - 332*x/3 - 840.
4*(x - 90)*(x + 7)/3
Suppose 3*c**3/2 - 567*c**2/2 + 26505*c/2 + 27075/2 = 0. What is c?
-1, 95
Find g such that -3*g**5 - 45*g**4 - 243*g**3 - 579*g**2 - 594*g - 216 = 0.
-6, -4, -3, -1
What is u in u**5/4 - 25*u**4/2 + 36*u**3 - 71*u**2/2 + 47*u/4 = 0?
0, 1, 47
Factor d**2 + 72*d + 272.
(d + 4)*(d + 68)
Factor 3*t**3 - 93*t**2 + 522*t - 432.
3*(t - 24)*(t - 6)*(t - 1)
Find s, given that 4*s**5/5 + 72*s**4/5 + 436*s**3/5 + 1008*s**2/5 + 784*s/5 = 0.
-7, -2, 0
Factor -2*u**3/9 - 28*u**2/3 - 104*u/3 - 304/9.
-2*(u + 2)**2*(u + 38)/9
Determine d so that -60*d**5 + 376*d**4 - 300*d**3 - 384*d**2 - 80*d = 0.
-2/5, -1/3, 0, 2, 5
Solve 10648*t**5/15 + 5808*t**4/5 + 2442*t**3/5 + 562*t**2/15 + 4*t/5 = 0 for t.
-1, -6/11, -1/22, 0
Let 6*b**4 + 10*b**3 - 8*b**2 - 8*b = 0. What is b?
-2, -2/3, 0, 1
Factor -2*r**2/9 + 8*r - 72.
-2*(r - 18)**2/9
What is p in -2*p**3 + 254*p**2 + 516*p = 0?
-2, 0, 129
Let 2*z**3 + 1170*z**2 + 169344*z - 518616 = 0. What is z?
-294, 3
Let -3*w**4 + 33*w**3 - 135*w**2 + 243*w - 162 = 0. What is w?
2, 3
Factor -169*i**3 - 3*i**2.
-i**2*(169*i + 3)
Find r, given that 3*r**4/4 - 21*r**3/4 - 27*r**2 + 39*r + 60 = 0.
-4, -1, 2, 10
Factor 35*j**4 + 225*j**3 + 420*j**2 + 100*j - 240.
5*(j + 2)**2*(j + 3)*(7*j - 4)
What is v in -v**2 + 3*v = 0?
0, 3
Let -2*b**4/3 - 50*b**3/3 + 2*b**2/3 + 50*b/3 = 0. Calculate b.
-25, -1, 0, 1
Factor -68*b**3 - 63*b**2 + 8*b + 3.
-(b + 1)*(4*b - 1)*(17*b + 3)
Solve -3*f**5 + 27*f**4 - 18*f**3 - 168*f**2 = 0 for f.
-2, 0, 4, 7
Find m such that -3*m**2 + 162*m + 1281 = 0.
-7, 61
Factor -2*f**2/7 + 1000*f/7 - 125000/7.
-2*(f - 250)**2/7
Factor -2*j**4 + 1218*j**3 + 2442*j**2 + 1222*j.
-2*j*(j - 611)*(j + 1)**2
Find d such that -5*d**2 + 10*d + 75 = 0.
-3, 5
Factor -2*j**3/3 - 646*j**2/3 - 53120*j/3 - 51200.
-2*(j + 3)*(j + 160)**2/3
Factor b**2/11 + 6*b/11 - 7/11.
(b - 1)*(b + 7)/11
What is v in 3*v**2 + 147*v = 0?
-49, 0
Factor -2*h**4 + 176*h**3 + 540*h**2 + 544*h + 182.
-2*(h - 91)*(h + 1)**3
Factor 5*o**2/2 + 55*o/2 - 65.
5*(o - 2)*(o + 13)/2
Factor a**3/3 + 121*a**2/3 + 239*a/3 + 119/3.
(a + 1)**2*(a + 119)/3
Factor 4*h**3/5 - 3*h**2/5 - 9*h/5 - 2/5.
(h - 2)*(h + 1)*(4*h + 1)/5
Let -2*d**2/7 + 32*d/7 = 0. What is d?
0, 16
Find g, given that -72*g**5 - 252*g**4 - 196*g**3 + 172*g**2 + 268*g + 80 = 0.
-5/3, -4/3, -1, -1/2, 1
Let -3*k**4/4 - 102*k**3 - 9729*k**2/2 - 94962*k - 2600283/4 = 0. Calculate k.
-49, -19
What is o in 11*o**5 + 57*o**4 + 87*o**3 + 47*o**2 + 6*o = 0?
-3, -1, -2/11, 0
Suppose -36*v**2 - 392*v + 44 = 0. Calculate v.
-11, 1/9
Solve 3*s**4 + 3*s**3 - 27*s**2 - 27*s = 0 for s.
-3, -1, 0, 3
Suppose -2*h**5 + 16*h**4 + 6*h**3 - 44*h**2 - 32*h = 0. Calculate h.
-1, 0, 2, 8
Determine m, given that 27*m**3/8 - 57*m**2/4 + 33*m/2 - 3 = 0.
2/9, 2
Solve -35*b**5 + 25*b**4 + 185*b**3 + 155*b**2 + 30*b = 0 for b.
-1, -2/7, 0, 3
Solve 3*o**3 + 39*o**2 + 156*o + 180 = 0 for o.
-6, -5, -2
Factor r**3/2 - 19*r**2/4 + 10*r + 25/4.
(r - 5)**2*(2*r + 1)/4
Find u such that 2*u**5/3 - 34*u**4 + 1912*u**3/3 - 5088*u**2 + 12672*u + 18432 = 0.
-1, 12, 16
Factor -o**3/5 - 64*o**2/5 - 64*o + 5120.
-(o - 16)*(o + 40)**2/5
Find j, given that -2*j**4/9 - 58*j**3/9 - 56*j**2/9 = 0.
-28, -1, 0
Factor -507*o**2/2 + 39*o - 3/2.
-3*(13*o - 1)**2/2
Let -o**4/2 - 9*o**3 - 31*o**2/2 + 9*o + 16 = 0. What is o?
-16, -2, -1, 1
Find z such that -2*z**4/9 - 62*z**3/9 - 66*z**2 - 1210*z/9 + 5324/9 = 0.
-11, 2
Factor 3*l**2/7 - 1020*l/7.
3*l*(l - 340)/7
Let -5*v**2 + 4702*v - 1880 = 0. Calculate v.
2/5, 940
Factor -5*n**3/4 - 5*n**2/2 - 5*n/4.
-5*n*(n + 1)**2/4
Factor -6*g**2/13 - 2*g/13 + 4/13.
-2*(g + 1)*(3*g - 2)/13
Suppose 5*w**2 + 35*w - 150 = 0. Calculate w.
-10, 3
Determine n so that 3*n**5 - 36*n**4 + 60*n**3 + 6*n**2 - 63*n + 30 = 0.
-1, 1, 10
Solve w**2 + 2072*w + 1073296 = 0 for w.
-1036
Factor x**2 - 1936*x + 937024.
(x - 968)**2
Factor 2*x**5/15.
2*x**5/15
Factor -4*f**2 - 624*f + 628.
-4*(f - 1)*(f + 157)
Factor -b**5 - 9*b**4 - 8*b**3.
-b**3*(b + 1)*(b + 8)
Factor s**4/7 - s**3.
s**3*(s - 7)/7
Solve 225*d**5/4 + 5295*d**