- 32 = 0.
-16, -1
Suppose -21*p**3 + 99*p**2 + 30*p = 0. What is p?
-2/7, 0, 5
Factor l**4/2 + 257*l**3/2 - 517*l**2/2 + 259*l/2.
l*(l - 1)**2*(l + 259)/2
Factor -k**2/9 - 572*k/9 + 1148/9.
-(k - 2)*(k + 574)/9
Factor -26*d**2/7 - 58*d/7 - 12/7.
-2*(d + 2)*(13*d + 3)/7
Find c, given that 5*c**3 - 15*c**2 - 390*c + 400 = 0.
-8, 1, 10
Suppose 1296*a**2 + 72*a + 1 = 0. What is a?
-1/36
Find f, given that -f**3/6 - 9*f**2/2 - 76*f/3 + 30 = 0.
-18, -10, 1
Factor -m**4/5 - 347*m**3/5 + 697*m**2/5 - 349*m/5.
-m*(m - 1)**2*(m + 349)/5
What is v in 5*v**5 + 65*v**4 - 125*v**3 - 2045*v**2 + 6600*v - 4500 = 0?
-10, 1, 3
Factor -l**2/9 - 55*l/3 - 164/9.
-(l + 1)*(l + 164)/9
Factor -2*p**3/9 + 28*p**2/9 - 58*p/9 - 88/9.
-2*(p - 11)*(p - 4)*(p + 1)/9
Solve -22*a**2/5 - 332*a/5 - 336/5 = 0 for a.
-14, -12/11
Let 2*f**3/11 - 250*f**2/11 - 256*f/11 + 504/11 = 0. Calculate f.
-2, 1, 126
Let -4*j**3/7 - 3*j**2/7 + 7*j - 12/7 = 0. Calculate j.
-4, 1/4, 3
Determine z, given that -3*z**5 + 207*z**4 - 4344*z**3 + 25740*z**2 - 21600*z = 0.
0, 1, 8, 30
Factor -5*m**2 - 50*m + 120.
-5*(m - 2)*(m + 12)
Factor 3*x**2 + 267*x - 546.
3*(x - 2)*(x + 91)
Suppose m**3/7 + 13*m**2 - 185*m/7 + 93/7 = 0. What is m?
-93, 1
Let 3*k**2 - 3*k - 18 = 0. What is k?
-2, 3
Find s such that 2*s**2 + 120*s = 0.
-60, 0
What is d in -3*d**3 - 675*d**2 - 50625*d - 1265625 = 0?
-75
Factor 5*k**5 + 175*k**4 - 365*k**3 + 185*k**2.
5*k**2*(k - 1)**2*(k + 37)
Determine z, given that -z**2 - 92*z - 2116 = 0.
-46
Let 8*g**4/7 + 62*g**3/7 + 30*g**2/7 - 50*g + 250/7 = 0. What is g?
-5, 1, 5/4
Factor -x**2/8 + 19*x/8 + 21/4.
-(x - 21)*(x + 2)/8
Determine o, given that 4*o**5/9 - 22*o**4/9 - 52*o**3/3 - 232*o**2/9 - 80*o/9 = 0.
-2, -1/2, 0, 10
Determine n, given that -4*n**2 - 27*n + 31 = 0.
-31/4, 1
Factor 25*t**3 - 110*t**2 + 140*t - 40.
5*(t - 2)**2*(5*t - 2)
Find g such that 4*g**3 - 28*g**2 - 20*g + 300 = 0.
-3, 5
Determine g, given that 4*g**5 + 112*g**4 + 780*g**3 - 112*g**2 - 784*g = 0.
-14, -1, 0, 1
Solve 9*i**3/4 + 345*i**2/2 - 933*i/4 + 117/2 = 0.
-78, 1/3, 1
Factor 2*v**3 - 1446*v**2 + 260640*v + 262088.
2*(v - 362)**2*(v + 1)
Factor -5*h**3 - 450*h**2 - 10125*h.
-5*h*(h + 45)**2
Factor 13*o**4/3 - 76*o**3/3 + 53*o**2/3 + 10*o/3.
o*(o - 5)*(o - 1)*(13*o + 2)/3
Factor -2*r**3 - 580*r**2 - 40866*r + 172872.
-2*(r - 4)*(r + 147)**2
Factor 755*x**3 - 745*x**2 - 1520*x - 20.
5*(x - 2)*(x + 1)*(151*x + 2)
Factor -4*w**3 + 32*w**2 - 52*w + 24.
-4*(w - 6)*(w - 1)**2
Factor -3*x**3 + 48*x**2 - 183*x + 198.
-3*(x - 11)*(x - 3)*(x - 2)
Suppose -15*w**4 + 587*w**3 + 2073*w**2/4 + 141*w/2 - 20 = 0. Calculate w.
-1/2, 2/15, 40
Determine n so that -n**2 - 434*n - 47089 = 0.
-217
Find g, given that 5*g**2 - 866*g + 173 = 0.
1/5, 173
Let -31*u**2/4 + u/2 = 0. Calculate u.
0, 2/31
Factor 4*w**2 + 152*w - 156.
4*(w - 1)*(w + 39)
Factor j**4/2 + 39*j**3 + 153*j**2/2 + 38*j.
j*(j + 1)**2*(j + 76)/2
Factor d**2/2 - 1665*d + 2772225/2.
(d - 1665)**2/2
Solve -l**2 + 45*l = 0.
0, 45
Solve s**4/5 + 16*s**3/5 + 67*s**2/5 + 24*s/5 - 108/5 = 0 for s.
-9, -6, -2, 1
Factor -o**4 + 184*o**3 - 12600*o**2 + 380000*o - 4250000.
-(o - 50)**3*(o - 34)
Determine j so that 80*j**4 - 1400*j**3 + 1845*j**2 + 1190*j + 160 = 0.
-1/4, 2, 16
Factor 4*k**2 + 11776*k + 8667136.
4*(k + 1472)**2
Factor z**4/7 + 4*z**3/7 - 18*z**2/7 + 20*z/7 - 1.
(z - 1)**3*(z + 7)/7
Factor 4*f**2 + 23632*f + 34904464.
4*(f + 2954)**2
Factor x**4/2 - 5*x**3/2 - 12*x**2.
x**2*(x - 8)*(x + 3)/2
Determine q, given that -15*q**5 - 175*q**4 - 495*q**3 - 445*q**2 - 30*q + 80 = 0.
-8, -2, -1, 1/3
Factor 3*p**2 + 48*p.
3*p*(p + 16)
Suppose 2*m**2/5 + 182*m/5 - 372/5 = 0. What is m?
-93, 2
Find t such that t**5/3 + 214*t**4/3 - 216*t**3 + 650*t**2/3 - 217*t/3 = 0.
-217, 0, 1
Let 3*b**4/4 + 33*b**3/4 + 33*b**2 + 57*b + 36 = 0. What is b?
-4, -3, -2
Factor 2*x**3/11 - 4*x**2/11 - 48*x/11.
2*x*(x - 6)*(x + 4)/11
Solve -4*z**4 + 84*z**3 + 488*z**2 + 816*z + 416 = 0.
-2, -1, 26
Factor -x**3/3 - 35*x**2/3 - 98*x.
-x*(x + 14)*(x + 21)/3
Let -32*q**5 - 40*q**4 + 127*q**3/2 + 161*q**2/2 - 63*q/2 - 81/2 = 0. Calculate q.
-9/8, -1, 1
What is n in -3*n**4 + 15*n**3 - 9*n**2 - 27*n = 0?
-1, 0, 3
Solve -2*h**2/5 + 4*h + 192/5 = 0 for h.
-6, 16
Factor -2*w**2/9 - 124*w/9 - 1922/9.
-2*(w + 31)**2/9
Solve 2*r**5/5 - 768*r**4/5 + 100516*r**3/5 - 951200*r**2 + 7181250*r - 6250000 = 0.
1, 8, 125
Solve -b**3/3 - 14*b**2/3 - 35*b/3 + 50/3 = 0 for b.
-10, -5, 1
Let -2*k**2/5 + 218*k/5 + 44 = 0. Calculate k.
-1, 110
Suppose 144*y**4 - 120*y**3 - 404*y**2 + 142*y - 12 = 0. What is y?
-3/2, 1/6, 2
Find l such that l**2 + 32*l - 33 = 0.
-33, 1
Factor 12*r**2 + 26*r + 4.
2*(r + 2)*(6*r + 1)
Factor u**3 + 75*u**2 - u - 75.
(u - 1)*(u + 1)*(u + 75)
Factor -2*s**2 - 3078*s - 9216.
-2*(s + 3)*(s + 1536)
Let 129*z**2/2 + 519*z + 24 = 0. What is z?
-8, -2/43
Factor v**2/10 - 1463*v/5 + 2140369/10.
(v - 1463)**2/10
Factor -r**2/7 + 26*r/7 + 155/7.
-(r - 31)*(r + 5)/7
Factor 7*v**3 + 5*v**2 - 2*v.
v*(v + 1)*(7*v - 2)
What is t in t**5/2 - 5*t**4/2 + 4*t**3 - 2*t**2 = 0?
0, 1, 2
Factor r**4 + 40*r**3 - 133*r**2 - 172*r.
r*(r - 4)*(r + 1)*(r + 43)
Suppose 5*m**5 + 775*m**4 - 1575*m**3 - 775*m**2 + 1570*m = 0. Calculate m.
-157, -1, 0, 1, 2
Factor -4*h**4 - 52*h**3 - 72*h**2 + 208*h + 352.
-4*(h - 2)*(h + 2)**2*(h + 11)
Suppose -5*t**4 - 925*t**3 - 2710*t**2 + 3640*t = 0. What is t?
-182, -4, 0, 1
Find r such that 5*r**3 + 124*r**2 - 167*r - 286 = 0.
-26, -1, 11/5
Solve f**4/2 + 9*f**3/2 - 6*f**2 - 46*f + 72 = 0.
-9, -4, 2
Find v, given that v**4/4 + 3*v**3 - 59*v**2/4 + 39*v/2 - 8 = 0.
-16, 1, 2
What is l in -9*l**5/7 + 1320*l**4/7 - 51384*l**3/7 + 218982*l**2/7 - 259647*l/7 + 90738/7 = 0?
2/3, 1, 3, 71
Find v such that -4*v**5 - 32*v**4 - 20*v**3 + 200*v**2 = 0.
-5, 0, 2
Let w**5/6 + w**4/6 - 7*w**3/6 - w**2/6 + w = 0. Calculate w.
-3, -1, 0, 1, 2
Suppose -4*x**2/9 - 5552*x/9 - 1926544/9 = 0. What is x?
-694
Suppose -2*o**3/3 + 26*o**2/3 - 88*o/3 + 64/3 = 0. What is o?
1, 4, 8
Let -27*q**2/7 + 60*q/7 - 12/7 = 0. Calculate q.
2/9, 2
Factor 2*v**4 + 4*v**3.
2*v**3*(v + 2)
Factor i**2/2 + 15*i + 72.
(i + 6)*(i + 24)/2
Let 3*m**2 + 708*m + 41772 = 0. What is m?
-118
Find a, given that -2*a**5/7 + 2*a**4/7 + 8*a**3/7 - 8*a**2/7 = 0.
-2, 0, 1, 2
Determine x so that 5*x**2 - 35*x - 90 = 0.
-2, 9
Solve 2*m**5/9 + 28*m**4/9 + 12*m**3 - 80*m**2/9 - 1150*m/9 - 500/3 = 0.
-5, -2, 3
Factor -4*s**3 - 148*s**2 - 1600*s - 5376.
-4*(s + 8)**2*(s + 21)
Suppose x**3/4 + 335*x**2/4 - 84*x = 0. Calculate x.
-336, 0, 1
Factor 242*g**2/9 + 1496*g/3 + 2312.
2*(11*g + 102)**2/9
Find l such that -2*l**2/7 + 2704*l/7 - 913952/7 = 0.
676
What is r in -78*r**2 + 74*r + 4 = 0?
-2/39, 1
Suppose -2*u**2/9 + 8*u/3 + 10 = 0. What is u?
-3, 15
Factor -5*k**2/4 - 165*k - 5445.
-5*(k + 66)**2/4
Factor -3*x**3 + 63*x**2 + 675*x + 609.
-3*(x - 29)*(x + 1)*(x + 7)
Factor 5*h**3 - 105*h**2 - 120*h + 220.
5*(h - 22)*(h - 1)*(h + 2)
Determine v so that -2*v**2/5 - 54*v/5 - 52/5 = 0.
-26, -1
Find q such that -9*q**3 - 3*q**2 + 324*q + 108 = 0.
-6, -1/3, 6
Factor n**5/2 - 7*n**3/2 + 3*n**2.
n**2*(n - 2)*(n - 1)*(n + 3)/2
Suppose 5*v**5 - 50*v**4 - 185*v**3 - 130*v**2 = 0. Calculate v.
-2, -1, 0, 13
Suppose f**4/2 - f**3/2 - 13*f**2/2 + f/2 + 6 = 0. Calculate f.
-3, -1, 1, 4
Factor -2*m**5/5 + 14*m**4/15 - 2*m**3/5 - 2*m**2/5 + 4*m/15.
-2*m*(m - 1)**3*(3*m + 2)/15
Suppose j**3/5 - 12*j**2/5 - 127*j/5 - 114/5 = 0. What is j?
-6, -1, 19
Factor -3*s**3/4 - 75*s**2/4 - 237*s/2 - 168.
-3*(s + 2)*(s + 7)*(s + 16)/4
Factor 215*q**2 + 213*q - 2.
(q + 1)*(215*q - 2)
Factor y**3/8 - 17*y**2/4 + 20*y + 300.
(y - 20)**2*(y + 6)/8
Factor d**5 - 2*d**4 - 2*d**3 + 4*d**2 + d - 2.
(d - 2)*(d - 1)**2*(d + 1)**2
Suppose k**5/5 - k**4/5 - 21*k**3/5 + 9*k**2 = 0. What is k?
-5, 0, 3
Solve f**5/7 - 11*f**4/7 + 30*f**3/7 + 22*f**2/7 - 95*f/7 - 75/7 = 0 for f.
-1, 3, 5
Factor -2*u**2/7 - 2540*u/7 + 5088/7.
-2*(u - 2)*(u + 1272)/7
Find z such that 2*z**3/11 - 6*z**2/11 + 4*z/11 = 0.
0, 1, 2
What is s in -s**3/4 - 55*s**2/4 + 117*s/4 + 171/4 = 0?
-57, -1, 3
Find q such that -4*q**2 + 588*q + 592 = 0.
-1, 148
Factor q**4 + 37*q**3 + 213*q**2 - 541*q + 290.
(q - 1)**2*(q + 10)*(q + 29)
Factor 2*t**4/7 - 134*t**3/7 - 274*t**2/7 - 138*t/7.
2*t*(t - 69)*(t + 1)**2/7
Solv