 -1, 2, 11
Factor -5*y**4 - 70*y**3 + 80*y**2 + 70*y - 75.
-5*(y - 1)**2*(y + 1)*(y + 15)
Suppose -2*y**2/3 + 3962*y/3 - 1320 = 0. What is y?
1, 1980
Factor 496*d**4 + 180*d**3.
4*d**3*(124*d + 45)
Factor -4*s**2 + 14586*s - 7292.
-2*(s - 3646)*(2*s - 1)
Find z such that -z**5 + z**4 + 102*z**3 + 98*z**2 - 101*z - 99 = 0.
-9, -1, 1, 11
Determine r, given that 2*r**4 - 36*r**3 - 232*r**2 + 36*r + 230 = 0.
-5, -1, 1, 23
Determine x, given that -7*x**4 + 142*x**3 + 877*x**2 - 1312*x + 300 = 0.
-6, 2/7, 1, 25
Find k, given that -k**3/3 - 11*k**2 - 21*k - 31/3 = 0.
-31, -1
Find s such that 25*s**4/3 + 7655*s**3/3 - 6136*s**2/3 + 1228*s/3 = 0.
-307, 0, 2/5
Find t such that 3*t**2 + 1602*t + 1599 = 0.
-533, -1
Factor -4*u**2 + 448*u + 1380.
-4*(u - 115)*(u + 3)
Find h such that -h**2 + 264*h + 265 = 0.
-1, 265
Find g, given that 2*g**4/3 - 2*g**3/3 - 32*g**2/3 + 32*g/3 = 0.
-4, 0, 1, 4
Factor 4*t**2/5 - 108*t + 536/5.
4*(t - 134)*(t - 1)/5
Factor s**4/3 + 23*s**3 + 88*s**2 + 260*s/3.
s*(s + 2)**2*(s + 65)/3
Factor y**2/4 - 23*y/4 + 28.
(y - 16)*(y - 7)/4
Solve z**2/3 + 23*z/3 + 44 = 0.
-12, -11
Suppose -q**2/2 + 2030*q - 2060450 = 0. Calculate q.
2030
Factor v**2/4 + 233*v/4 - 235/2.
(v - 2)*(v + 235)/4
Factor -2*f**3/7 + 562*f**2/7 + 2*f/7 - 562/7.
-2*(f - 281)*(f - 1)*(f + 1)/7
Factor 3*z**2 + 162*z + 2187.
3*(z + 27)**2
Factor l**4/4 - 4460*l**3 + 29837400*l**2 - 88716536000*l + 98918937640000.
(l - 4460)**4/4
Factor -x**4/6 + x**3/2 + x**2/2 - 11*x/6 + 1.
-(x - 3)*(x - 1)**2*(x + 2)/6
Factor 5*u**4 - 215*u**3 - 14175*u**2 + 924875*u - 13291250.
5*(u - 35)**3*(u + 62)
Let 4*v**5/7 + 300*v**4/7 + 256*v**3/7 - 2928*v**2/7 + 2368*v/7 = 0. Calculate v.
-74, -4, 0, 1, 2
What is s in 2*s**4/11 - 24*s**3/11 + 42*s**2/11 - 20*s/11 = 0?
0, 1, 10
Suppose 3*b**5 + 69*b**4 - 339*b**3 - 297*b**2 + 2808*b - 2916 = 0. What is b?
-27, -3, 2, 3
Solve 5*s**4 + 280*s**3 - 5*s**2 - 280*s = 0.
-56, -1, 0, 1
Factor 2*m**5 + 138*m**4.
2*m**4*(m + 69)
Let -n**3/6 - n**2/3 - n/6 = 0. What is n?
-1, 0
Suppose 4*t**5 - 4*t**4 - 88*t**3 - 176*t**2 - 96*t = 0. Calculate t.
-2, -1, 0, 6
Solve 14*z**2/15 - 2*z/3 - 4/15 = 0 for z.
-2/7, 1
Factor -39*x**3 + 1020*x**2 + 2028*x - 336.
-3*(x - 28)*(x + 2)*(13*x - 2)
Find d, given that -3*d**3/5 - 756*d**2/5 - 300*d = 0.
-250, -2, 0
Factor -4*h**3 - 32*h**2 + 4*h + 32.
-4*(h - 1)*(h + 1)*(h + 8)
Factor -5*l**3 + 130*l**2 - 700*l - 1960.
-5*(l - 14)**2*(l + 2)
Determine t so that -14*t**2/3 - 10*t/3 + 4/3 = 0.
-1, 2/7
Factor -u**2 + 22*u.
-u*(u - 22)
Let -q**2 + 61*q = 0. Calculate q.
0, 61
Find f such that 3*f**4 - 1761*f**3 + 1758*f**2 = 0.
0, 1, 586
Factor -f**3/5 + 9*f**2 + 192*f/5 + 196/5.
-(f - 49)*(f + 2)**2/5
Suppose 2*h**2/19 + 896*h/19 + 100352/19 = 0. What is h?
-224
Factor -m**3/3 - 22*m**2/3 - 7*m.
-m*(m + 1)*(m + 21)/3
Find j, given that 8*j**4/3 + 2*j**3 - 2*j**2/3 = 0.
-1, 0, 1/4
Suppose -g**3/4 + 3*g**2/4 + g/4 - 3/4 = 0. What is g?
-1, 1, 3
Factor n**3/4 - 17*n**2/2 - 287*n/4.
n*(n - 41)*(n + 7)/4
Solve 2*l**2 + 20*l + 18 = 0.
-9, -1
Factor 4*h**4 - 14*h**3 + 14*h**2 - 4*h.
2*h*(h - 2)*(h - 1)*(2*h - 1)
Find n, given that -2*n**5/13 + 10*n**4/13 - 10*n**3/13 - 10*n**2/13 + 12*n/13 = 0.
-1, 0, 1, 2, 3
Let 8*w**5/7 - 584*w**4/7 - 590*w**3/7 - 148*w**2/7 = 0. Calculate w.
-1/2, 0, 74
Factor 2*o**5/11 - 2514*o**4/11 + 791280*o**3/11 - 788768*o**2/11.
2*o**2*(o - 628)**2*(o - 1)/11
Suppose 2*q**5/11 - 8*q**4/11 - 12*q**3/11 + 64*q**2/11 - 70*q/11 + 24/11 = 0. What is q?
-3, 1, 4
Suppose 3*t**3 + 87*t**2 - 2640*t + 14700 = 0. Calculate t.
-49, 10
Factor -3*v**2 - 15*v - 12.
-3*(v + 1)*(v + 4)
Factor 5*z**2 + 50*z + 105.
5*(z + 3)*(z + 7)
Factor p**2/3 - 4306*p/3 + 4635409/3.
(p - 2153)**2/3
Suppose -2*z**2/13 + 7328*z/13 - 6712448/13 = 0. Calculate z.
1832
Suppose -5*w**3 - 40*w**2 + 100*w = 0. What is w?
-10, 0, 2
Find u, given that 2*u**4 + 26*u**3 + 84*u**2 = 0.
-7, -6, 0
Factor -9*f**4 + 38*f**3 - 53*f**2 + 28*f - 4.
-(f - 2)*(f - 1)**2*(9*f - 2)
Solve -2*q**3/13 - 26*q**2 + 1032*q/13 = 0.
-172, 0, 3
Factor 5*x**3 + 70*x**2 + 55*x - 130.
5*(x - 1)*(x + 2)*(x + 13)
What is f in 5*f**3 + 280*f**2 + 5200*f + 32000 = 0?
-20, -16
Factor 14*n**3/9 - 122*n**2/9 + 24*n + 8.
2*(n - 6)*(n - 3)*(7*n + 2)/9
Find y such that y**5/3 - y**4/3 - 34*y**3/3 + 130*y**2/3 - 53*y + 21 = 0.
-7, 1, 3
Find k, given that -k**3/2 + 7*k**2/2 - 11*k/2 + 5/2 = 0.
1, 5
Factor 5*y**2 + 105*y + 450.
5*(y + 6)*(y + 15)
Suppose -b**3 - 101*b**2 + 526*b - 424 = 0. What is b?
-106, 1, 4
Factor -2*n**3/7 + 26*n**2/7.
-2*n**2*(n - 13)/7
Find o such that 5*o**4 - 35*o**3 - 15*o**2 + 275*o + 250 = 0.
-2, -1, 5
Factor x**3/4 + 40*x**2 + 627*x/4 + 117.
(x + 1)*(x + 3)*(x + 156)/4
Solve 11*c**5/7 + 26*c**4/7 + 8*c**3/7 - 22*c**2/7 - 19*c/7 - 4/7 = 0 for c.
-1, -4/11, 1
Factor 3*u**4 + 87*u**3 + 60*u**2 - 708*u - 1008.
3*(u - 3)*(u + 2)**2*(u + 28)
Factor -d**5/2 - 21*d**4/2 - 36*d**3 - 34*d**2.
-d**2*(d + 2)**2*(d + 17)/2
Solve 2*u**4/13 + 162*u**3/13 - 498*u**2/13 + 502*u/13 - 168/13 = 0.
-84, 1
Solve 2*z**4/7 + 52*z**3/7 - 174*z**2/7 + 8*z/7 + 232/7 = 0 for z.
-29, -1, 2
Solve 4*q**5 - 108*q**4 + 864*q**3 - 1712*q**2 - 384*q + 2304 = 0.
-1, 2, 12
Factor -3*z**3 + 3*z**2 + 99*z + 189.
-3*(z - 7)*(z + 3)**2
Solve 3*h**4/4 + 3*h**3/4 - 165*h**2/2 = 0 for h.
-11, 0, 10
Factor s**4 - 3602*s**3 + 3236389*s**2 + 12988812*s + 13003236.
(s - 1803)**2*(s + 2)**2
Factor 192*n**2 - 1200*n + 1875.
3*(8*n - 25)**2
Factor -5*t**4 - 300*t**3 + 305*t**2.
-5*t**2*(t - 1)*(t + 61)
Suppose m**5/6 - 3*m**4/2 - 7*m**3/2 - 11*m**2/6 = 0. Calculate m.
-1, 0, 11
Factor 3*t**3 + 9*t**2 - 75*t + 63.
3*(t - 3)*(t - 1)*(t + 7)
Solve -2*n**4/3 + 4*n**3/3 + 80*n**2/3 + 128*n/3 = 0.
-4, -2, 0, 8
Factor 2*w**5/5 + 18*w**4/5 + 8*w**3.
2*w**3*(w + 4)*(w + 5)/5
Factor 2*t**2/5 - 132*t + 10890.
2*(t - 165)**2/5
Solve -2*w**2 + 34*w - 60 = 0 for w.
2, 15
Find g such that g**4 + 51*g**3 + 624*g**2 - 676*g = 0.
-26, 0, 1
Let -o**2 - 54*o + 360 = 0. What is o?
-60, 6
Solve -5*x**5 - 290*x**4 - 5190*x**3 - 28280*x**2 - 42125*x - 18750 = 0.
-25, -6, -1
Factor -5*n**3 - 40*n**2 + 295*n - 390.
-5*(n - 3)*(n - 2)*(n + 13)
Determine h, given that 2*h**5/5 + 4*h**4 + 26*h**3/5 - 56*h**2/5 - 56*h/5 + 64/5 = 0.
-8, -2, 1
Factor -5*i**2/4 - 6405*i/2 - 8204805/4.
-5*(i + 1281)**2/4
Factor -2*b**3/5 - 18*b**2/5 - 6*b - 14/5.
-2*(b + 1)**2*(b + 7)/5
Determine h, given that h**5 - 31*h**4 + 346*h**3 - 1710*h**2 + 3861*h - 3267 = 0.
3, 11
Factor q**3/6 - 11*q**2/6 + 5*q/3.
q*(q - 10)*(q - 1)/6
Factor -2*a**2/11 - 18946*a/11.
-2*a*(a + 9473)/11
Let -4*u**3/7 - 136*u**2/7 - 640*u/7 + 9600/7 = 0. What is u?
-20, 6
Factor 15*a**2/8 + 48*a + 72.
3*(a + 24)*(5*a + 8)/8
Factor -2*k**3 + 766*k**2 + 768*k.
-2*k*(k - 384)*(k + 1)
Suppose -4*i**3 + 4*i**2 + 36*i - 36 = 0. What is i?
-3, 1, 3
Factor -4*g**3/7 + 296*g**2/7 - 5168*g/7 - 11552/7.
-4*(g - 38)**2*(g + 2)/7
Solve 16*i**5/5 - 84*i**4/5 - 76*i**3/5 + 24*i**2/5 = 0.
-1, 0, 1/4, 6
Suppose -147*f**3/4 + 651*f**2/4 + 102*f + 15 = 0. What is f?
-2/7, 5
Factor -8*q**3 + 22*q**2 - 10*q - 4.
-2*(q - 2)*(q - 1)*(4*q + 1)
Factor 2*f**2 + 4*f/3 - 2/3.
2*(f + 1)*(3*f - 1)/3
Determine o, given that -3*o**2 - 10104*o - 8507568 = 0.
-1684
Let 6*k**4 - 26*k**3/7 - 108*k**2/7 - 24*k/7 + 16/7 = 0. Calculate k.
-1, -2/3, 2/7, 2
Factor 2*j**2/3 - 470*j/3 - 964.
2*(j - 241)*(j + 6)/3
Suppose -2*g**5/7 - 8*g**4/7 + 20*g**2/7 + 2*g/7 - 12/7 = 0. Calculate g.
-3, -2, -1, 1
Suppose 3*n**2 - 3309*n = 0. What is n?
0, 1103
Factor -q**4/2 - 21*q**3 - 20*q**2 + 21*q + 41/2.
-(q - 1)*(q + 1)**2*(q + 41)/2
Factor 3*q**4 - 45*q**3 + 189*q**2 - 147*q.
3*q*(q - 7)**2*(q - 1)
Let 2*l**2 - 20*l + 50 = 0. What is l?
5
Solve p**2/3 + 7*p/3 - 26 = 0 for p.
-13, 6
Solve 41*z**2 - 94*z + 24 = 0.
12/41, 2
Let 2*d**3/11 + 12*d**2/11 + 18*d/11 = 0. What is d?
-3, 0
Let -2*g**4 - 8*g**3 + 30*g**2 + 116*g + 80 = 0. What is g?
-5, -2, -1, 4
Determine j, given that 4*j**4/5 + 3852*j**3/5 - 772*j**2 - 3852*j/5 + 3856/5 = 0.
-964, -1, 1
Let -a**5 + 6*a**4 - 14*a**3 + 16*a**2 - 9*a + 2 = 0. What is a?
1, 2
Solve -14*m**5/5 - 38*m**4/5 + 82*m**3/5 + 22*m**2/5 - 68*m/5 + 16/5 = 0.
-4, -1, 2/7, 1
Factor -5*j**3 - 1605*j**2 - 127995*j + 129605.
-5*(j - 1)*(j + 161)**2
Factor p**2/5 - 74*p/5 + 261.
(p - 45)*(p - 29)/