
-6, 1, 15
Let 4*i**2 - 16*i - 128 = 0. Calculate i.
-4, 8
Factor -y**4 + 46*y**3 - 613*y**2 + 1932*y - 1764.
-(y - 21)**2*(y - 2)**2
Find x such that x**3/2 + 5*x**2 - 56*x - 128 = 0.
-16, -2, 8
Factor u**3/2 - 4247*u**2/2 + 2253564*u + 2255688.
(u - 2124)**2*(u + 1)/2
Determine s so that -3*s**3 - 6*s**2 + 21*s - 12 = 0.
-4, 1
Factor 2*q**3/9 - 32*q**2/9 - 34*q/9.
2*q*(q - 17)*(q + 1)/9
Suppose -4*i**5 - 16*i**4 + 108*i**3 + 56*i**2 - 688*i + 672 = 0. What is i?
-7, -3, 2
Factor -p**2/5 - 11*p/5.
-p*(p + 11)/5
Factor 3*s**2 - 198*s + 195.
3*(s - 65)*(s - 1)
Suppose -6*c**4 + 114*c**3 + 14*c**2/3 - 90*c + 76/3 = 0. Calculate c.
-1, 1/3, 2/3, 19
Factor n**3/4 - 6*n**2 + 512.
(n - 16)**2*(n + 8)/4
Suppose 5*s**2 + 35930*s + 64548245 = 0. What is s?
-3593
Suppose -5*d**4 - 40*d**3 + 925*d**2 - 2280*d = 0. What is d?
-19, 0, 3, 8
Solve 11*f**4/5 + 4*f**3/5 - 11*f**2/5 - 4*f/5 = 0.
-1, -4/11, 0, 1
Factor -2*h**4 - 6*h**3 + 190*h**2 + 798*h - 980.
-2*(h - 10)*(h - 1)*(h + 7)**2
Factor -81*l**3/5 + 186*l**2/5 - 48*l/5.
-3*l*(l - 2)*(27*l - 8)/5
Let -8*j**4/11 - 72*j**3/11 - 186*j**2/11 - 136*j/11 - 30/11 = 0. Calculate j.
-5, -3, -1/2
Suppose -16*a**4 + 28*a**3 + 244*a**2 + 128*a - 240 = 0. Calculate a.
-2, 3/4, 5
Factor 4*m**4 - 76*m**3 + 408*m**2 - 128*m - 2560.
4*(m - 8)**2*(m - 5)*(m + 2)
Determine w so that 1008*w**5 + 820*w**4 + 237*w**3 + 111*w**2/4 + w = 0.
-1/4, -4/63, 0
Find u, given that -u**2/8 - 9*u/2 - 35/8 = 0.
-35, -1
Factor -2*j**4/7 - 16*j**3/7 - 6*j**2 - 36*j/7.
-2*j*(j + 2)*(j + 3)**2/7
Determine o, given that -564*o**2 - 1689*o + 9 = 0.
-3, 1/188
Factor -n**2/2 - 112*n + 225/2.
-(n - 1)*(n + 225)/2
Determine r, given that -r**3/3 - 139*r**2/3 - 4760*r/3 + 4900/3 = 0.
-70, 1
Solve -2*s**5/5 + 28*s**4/5 - 156*s**3/5 + 432*s**2/5 - 594*s/5 + 324/5 = 0 for s.
2, 3
Factor -u**2/5 - 57*u/5 - 56/5.
-(u + 1)*(u + 56)/5
Factor -f**3/2 + 34*f**2 + f/2 - 34.
-(f - 68)*(f - 1)*(f + 1)/2
Factor 4*a**2 + 92*a + 88.
4*(a + 1)*(a + 22)
Determine z, given that 3*z**3 - 132*z**2 + 1095*z - 2550 = 0.
5, 34
Find a such that 729*a**4 + 5724*a**3 - 7421*a**2 + 1004*a - 36 = 0.
-9, 2/27, 1
Factor o**4/2 - 29*o**3 - 447*o**2/2 - 268*o + 520.
(o - 65)*(o - 1)*(o + 4)**2/2
What is b in -b**3/2 - 1931*b**2/2 + 3865*b/2 - 1933/2 = 0?
-1933, 1
Find h such that 5*h**5/4 + 15*h**4/4 - 20*h**3 - 25*h**2 + 120*h - 80 = 0.
-4, 1, 2
Solve t**3/4 + 11*t**2/4 - 21*t/2 = 0.
-14, 0, 3
Suppose -5*i**4 - 93*i**3 - 402*i**2 + 176*i = 0. Calculate i.
-11, -8, 0, 2/5
Solve -t**3/5 + 34*t**2 - 169*t/5 = 0 for t.
0, 1, 169
Solve 179*x**4 - 2*x**3/5 = 0 for x.
0, 2/895
Determine l so that 2*l**2 - 46*l + 120 = 0.
3, 20
Factor d**3/4 - 455*d**2/4 + 52875*d/4 - 253125/4.
(d - 225)**2*(d - 5)/4
Find o, given that -4*o**5/19 - 14*o**4/19 + 4*o**3 + 176*o**2/19 = 0.
-11/2, -2, 0, 4
What is s in -s**5/7 + 99*s**4/7 - 2400*s**3/7 - 2500*s**2/7 = 0?
-1, 0, 50
Suppose 50*n**3 - 2390*n**2 - 2924*n - 784 = 0. What is n?
-4/5, -2/5, 49
Determine j, given that 4*j**5/5 + 52*j**4/5 + 156*j**3/5 - 292*j**2/5 - 224*j + 240 = 0.
-6, -5, 1, 2
Factor 9*s**4/2 - 777*s**3 + 516*s**2.
3*s**2*(s - 172)*(3*s - 2)/2
Determine v, given that -3*v**4/2 + 381*v**3/8 + 123*v**2/2 + 99*v/8 = 0.
-1, -1/4, 0, 33
Factor -4*w**3 + 16*w**2.
-4*w**2*(w - 4)
Find w, given that 3*w**5 + 87*w**4 + 219*w**3 - 399*w**2 - 222*w + 312 = 0.
-26, -4, -1, 1
Factor -4*m**4 + 28*m**2 - 24*m.
-4*m*(m - 2)*(m - 1)*(m + 3)
Let 3*n**4 + 2*n**3 - 112*n**2 + 142*n - 35 = 0. What is n?
-7, 1/3, 1, 5
Determine s so that 3*s**2 + 3*s - 18 = 0.
-3, 2
Solve -5*t**2 - 3160*t = 0 for t.
-632, 0
Factor 3*y**3/4 - 558*y**2 + 2229*y/4.
3*y*(y - 743)*(y - 1)/4
Suppose 2*g**2 + 944*g + 111392 = 0. What is g?
-236
Let g**2 + 4*g - 32 = 0. What is g?
-8, 4
Factor -2*g**2/23 + 70*g/23 - 248/23.
-2*(g - 31)*(g - 4)/23
Determine m so that -6*m**5/11 - 18*m**4/11 + 234*m**3/11 + 498*m**2/11 + 252*m/11 = 0.
-7, -1, 0, 6
Factor -n**2/4 - 13*n/2 - 25/4.
-(n + 1)*(n + 25)/4
Let -4*d**4 + 64*d**3 - 208*d**2 + 192*d = 0. Calculate d.
0, 2, 12
Let -3188*m**3 - 15932*m**2 + 19168*m - 48 = 0. What is m?
-6, 2/797, 1
Let 3*i**5/8 - 363*i**4/8 + 11433*i**3/8 - 22917*i**2/8 - 30090*i - 73101/2 = 0. What is i?
-2, 7, 59
Factor -7*p**5/3 + 10*p**4/3 + 110*p**3/3 + 200*p**2/3 + 145*p/3 + 38/3.
-(p + 1)**4*(7*p - 38)/3
Solve -2*b**4/3 - 4*b**3/3 = 0.
-2, 0
Factor 2*z**3/5 + 26*z**2/5 - 28*z/5.
2*z*(z - 1)*(z + 14)/5
Let 3*d**3 + 6*d**2 - 9*d = 0. What is d?
-3, 0, 1
Let 3*q**5/4 + 11*q**4/4 - 10*q**2 - 12*q - 4 = 0. Calculate q.
-2, -1, -2/3, 2
Suppose -2*o**5 + 10*o**4 - 8*o**3 = 0. What is o?
0, 1, 4
Let 4*x**5 - 60*x**4 - 5512*x**3 + 40184*x**2 + 2079108*x + 2033476 = 0. Calculate x.
-23, -1, 31
Suppose 3*k**4 - 39*k**3 + 135*k**2 - 33*k - 210 = 0. Calculate k.
-1, 2, 5, 7
Factor -d**3/8 - 25*d**2/4 + 9*d/8 + 225/4.
-(d - 3)*(d + 3)*(d + 50)/8
Factor 3*z**4 - 19*z**3 - 38*z**2 - 16*z.
z*(z - 8)*(z + 1)*(3*z + 2)
Find d, given that -4*d**2 - 136*d = 0.
-34, 0
Determine x so that -2*x**2 + 444*x + 446 = 0.
-1, 223
Suppose 44*m**5 + 184*m**4 + 32*m**3 = 0. What is m?
-4, -2/11, 0
Solve -4*y**2/3 + 272*y/3 - 1156 = 0 for y.
17, 51
Find c such that -4*c**2 + 180*c - 176 = 0.
1, 44
Solve -2*m**2 + 2132*m - 568178 = 0.
533
Factor 108*w**4 - 252*w**3 - 321*w**2 + 546*w + 507.
3*(w + 1)**2*(6*w - 13)**2
Factor p**2/3 + 142*p/3 + 5041/3.
(p + 71)**2/3
Factor 3*n**3/5 - 18*n**2 + 135*n.
3*n*(n - 15)**2/5
Solve -2*c**4/11 + 8*c**3/11 + 2*c**2/11 - 8*c/11 = 0 for c.
-1, 0, 1, 4
Determine w, given that -w**3 - 286*w**2 - 20449*w = 0.
-143, 0
Determine f, given that -5*f**2 - 5*f + 360 = 0.
-9, 8
Factor -35*b**2/2 + 325*b/2 - 45.
-5*(b - 9)*(7*b - 2)/2
Factor -g**3/6 - 725*g**2/6 - 65884*g/3 - 65522/3.
-(g + 1)*(g + 362)**2/6
Suppose -2*x**5 - 8*x**4/5 + 22*x**3/5 - 4*x**2/5 = 0. Calculate x.
-2, 0, 1/5, 1
Factor 3*l**2/4 - 87*l/4.
3*l*(l - 29)/4
Solve -p**4 + 1207*p**3 - 486018*p**2 + 65449620*p - 64964808 = 0.
1, 402
Factor -5*o**4 + 85*o**3 + 100*o**2 - 180*o.
-5*o*(o - 18)*(o - 1)*(o + 2)
Solve 2*q**3/3 + 2*q**2/3 - 8*q/3 - 8/3 = 0.
-2, -1, 2
Solve 3*x**4 - 3*x**3 - 9*x**2 + 3*x + 6 = 0 for x.
-1, 1, 2
Factor b**2 + 459*b - 922.
(b - 2)*(b + 461)
What is d in -5*d**4 + 295*d**3 - 3550*d**2 - 23680*d - 30720 = 0?
-3, -2, 32
Factor 9*f**2 - 33*f + 18.
3*(f - 3)*(3*f - 2)
Factor -3*z**4 - 78*z**3 - 684*z**2 - 2376*z - 2592.
-3*(z + 2)*(z + 6)**2*(z + 12)
Let 3*a**2/4 + 603*a/2 + 121203/4 = 0. Calculate a.
-201
Factor 2*l**4 - 10*l**3 - 84*l**2 - 152*l - 80.
2*(l - 10)*(l + 1)*(l + 2)**2
Find p such that -5*p**5 + 460*p**4 - 9110*p**3 - 67640*p**2 - 106085*p - 48020 = 0.
-4, -1, 49
Factor -3*r**5/2 - 15*r**4/2 + 63*r**3/2 - 69*r**2/2 + 12*r.
-3*r*(r - 1)**3*(r + 8)/2
Solve 2*w**5 + 20*w**4 + 66*w**3 + 80*w**2 + 32*w = 0 for w.
-4, -1, 0
Factor p**3/6 - 20*p**2/3 + 287*p/6 - 124/3.
(p - 31)*(p - 8)*(p - 1)/6
Solve 4*h**2/5 - 15919*h/5 - 796 = 0.
-1/4, 3980
Factor 8*c**3 - 49*c**2 + 77*c - 36.
(c - 4)*(c - 1)*(8*c - 9)
Factor r**2/2 + 4634*r + 10736978.
(r + 4634)**2/2
Factor b**2/10 + 186*b/5 + 17298/5.
(b + 186)**2/10
Determine n, given that 16*n**3 + 254*n**2/5 + 268*n/5 + 94/5 = 0.
-47/40, -1
Determine s, given that 4*s**3/3 + 12*s**2 - 88*s/3 = 0.
-11, 0, 2
Let -3*y**4 - 18*y**3 - 24*y**2 = 0. Calculate y.
-4, -2, 0
Solve -8*g**4 - 9*g**3 + 79*g**2 - 54*g - 8 = 0.
-4, -1/8, 1, 2
Find r, given that 2*r**2/7 + 198*r/7 + 28 = 0.
-98, -1
Suppose -2*u**2 - 178*u - 840 = 0. Calculate u.
-84, -5
Suppose l**5/7 - 11*l**4/7 + 47*l**3/7 - 97*l**2/7 + 96*l/7 - 36/7 = 0. Calculate l.
1, 2, 3
Factor -3*v**2 - 213*v - 210.
-3*(v + 1)*(v + 70)
Suppose 2*b**3 - 260*b**2 - 262*b = 0. What is b?
-1, 0, 131
Solve -2*g**3 - 416*g**2 + 2550*g - 3852 = 0 for g.
-214, 3
Find b, given that -5*b**5/2 + 45*b**4/2 + 635*b**3/2 - 4485*b**2/2 + 3465*b = 0.
-11, 0, 3, 14
Factor -v**2 + 111*v - 728.
-(v - 104)*(v - 7)
Factor -n**5/3 + 4*n**4 + 2*n**3 - 64*n**2/3 - 31*n - 12.
-(n - 12)*(n - 3)*(n + 1)**3/3
Determine n, given that 4*n**2 - 388*n - 392 = 0.
-1, 98
Solve -4*l**5/7 + 592*l**4/7 - 22488*l**3/7 + 43216*l**2/7 - 21316*l/7 = 0 for l.
0, 1, 73
What is b in -b**3 - 22*b**2 - 76*b - 72 = 0?
-18, -2
Factor -r**5/11 - 5*r**4/11 + 24*r**3/11.
-r**3*(r - 3)*(r + 8)/11
Determine v so that -2*v**3