40, 0, 2
Suppose -2*s**4 + 18*s**3 - 12*s**2 - 112*s = 0. What is s?
-2, 0, 4, 7
Determine z, given that -3*z**4 - 3*z**3 + 3*z**2 + 3*z = 0.
-1, 0, 1
Find h such that -4*h**2 + 40*h = 0.
0, 10
Factor -z**2 - 96*z + 400.
-(z - 4)*(z + 100)
Let -5*l**2 + 25*l - 30 = 0. Calculate l.
2, 3
Let z**4/5 + 168*z**3 - 1683*z**2/5 + 842*z/5 = 0. Calculate z.
-842, 0, 1
Factor -5*k**4 + 145*k**3 - 1020*k**2.
-5*k**2*(k - 17)*(k - 12)
Solve -3*y**3 - 101*y**2/2 + 377*y/2 - 30 = 0 for y.
-20, 1/6, 3
Determine x so that -4*x**4/3 - 35*x**3/3 - 29*x**2 - 40*x/3 + 16/3 = 0.
-4, -1, 1/4
Factor 87*n**3 - 113*n**2/2 - n.
n*(3*n - 2)*(58*n + 1)/2
Factor 3*v**2 - 114*v + 840.
3*(v - 28)*(v - 10)
Factor m**4 - m**3 - 588*m**2 - 4900*m + 5488.
(m - 28)*(m - 1)*(m + 14)**2
Find k, given that -3*k**5 + 140*k**4 - 2077*k**3 + 8688*k**2 + 14796*k + 3888 = 0.
-1, -1/3, 12, 18
Factor -n**5 + 2*n**3 - n.
-n*(n - 1)**2*(n + 1)**2
Factor -3*i**3/7 - 24*i**2/7 - 36*i/7.
-3*i*(i + 2)*(i + 6)/7
Solve 5*q**2 + 60*q + 100 = 0 for q.
-10, -2
Let -5*v**4 - 485*v**3 - 4095*v**2 - 12015*v - 11880 = 0. What is v?
-88, -3
Factor 2*o**3 - 74*o**2 - 80*o + 152.
2*(o - 38)*(o - 1)*(o + 2)
Factor 2*c**3 + 28*c**2 + 70*c - 100.
2*(c - 1)*(c + 5)*(c + 10)
Find q such that 3*q**3/5 - 858*q**2/5 + 2943*q - 65124/5 = 0.
9, 268
Determine x so that x**3 - 47*x**2 + 91*x - 45 = 0.
1, 45
Determine a so that 2*a**3/21 + 4*a**2/7 - 10*a/7 + 16/21 = 0.
-8, 1
Factor 2*d**5/15 + 4*d**4/15 - 2*d**3.
2*d**3*(d - 3)*(d + 5)/15
Determine d so that d**3/3 - 2*d**2 - 40*d/3 = 0.
-4, 0, 10
Factor -3*d**4/2 - 37*d**3 - 240*d**2 - 144*d.
-d*(d + 12)**2*(3*d + 2)/2
Factor z**3/8 - 23*z**2/8 - z/8 + 23/8.
(z - 23)*(z - 1)*(z + 1)/8
Factor 3*g**5/2 + 3*g**4/2 - 3*g**3.
3*g**3*(g - 1)*(g + 2)/2
Factor 121*u**2/2 + 21285*u + 3744225/2.
(11*u + 1935)**2/2
What is c in 297025*c**2/3 - 2180*c/3 + 4/3 = 0?
2/545
Factor -2*m**3 - 102*m**2 - 688*m.
-2*m*(m + 8)*(m + 43)
Suppose r**2/5 + 244*r + 74420 = 0. Calculate r.
-610
Factor 3*o**2/5 - 42*o/5 - 9.
3*(o - 15)*(o + 1)/5
Factor 3*i**3/8 - 33*i**2/8 + 39*i/4 - 6.
3*(i - 8)*(i - 2)*(i - 1)/8
Factor 2*f**2/15 - 224*f/15 + 6272/15.
2*(f - 56)**2/15
Factor 2*m**3/9 + 130*m**2/9 + 1324*m/9 - 1456/9.
2*(m - 1)*(m + 14)*(m + 52)/9
Determine s, given that s**4/2 + 2*s**3 - 6*s**2 = 0.
-6, 0, 2
Factor -245*a**4 + 16030*a**3 - 257585*a**2 - 151140*a - 21780.
-5*(a - 33)**2*(7*a + 2)**2
Suppose -3*j**5 - 6*j**4 + 6*j**3 + 12*j**2 - 3*j - 6 = 0. Calculate j.
-2, -1, 1
Suppose -o**5 + 7*o**4/3 - 4*o**2/3 = 0. What is o?
-2/3, 0, 1, 2
Suppose 4*g**3 + 20*g**2 + 12*g - 36 = 0. What is g?
-3, 1
Factor 4*x**2 - 124*x + 120.
4*(x - 30)*(x - 1)
Factor -2*z**3/3 - 214*z**2/3 - 1742*z/3 + 80802.
-2*(z - 27)*(z + 67)**2/3
Factor 7*o**4 + 40*o**3 + 51*o**2 + 10*o - 8.
(o + 1)**2*(o + 4)*(7*o - 2)
Factor -5*r**3 + 10*r**2 + 35*r + 20.
-5*(r - 4)*(r + 1)**2
Determine w, given that -w**4/6 - 12*w**3 - 181*w**2/2 + 14828*w/3 - 4840 = 0.
-44, 1, 15
Suppose r**5 - 10*r**4 = 0. Calculate r.
0, 10
Factor 12*j**2 + 231*j + 57.
3*(j + 19)*(4*j + 1)
Factor -k**5/3 + 4*k**4/3 + 2*k**3/3 - 4*k**2 - 3*k.
-k*(k - 3)**2*(k + 1)**2/3
Factor -p**3/11 + 7*p**2/11 - 7*p/11 - 15/11.
-(p - 5)*(p - 3)*(p + 1)/11
Find n such that n**3 - 120*n**2 + 237*n - 118 = 0.
1, 118
What is g in -2*g**3/3 + 250*g**2 - 23808*g + 69192 = 0?
3, 186
Suppose 4*x**4 + 157*x**3 + 615*x**2 + 704*x + 140 = 0. Calculate x.
-35, -2, -1/4
Let 4*i**4 + 8*i**3 - 48*i**2 + 56*i - 20 = 0. What is i?
-5, 1
What is d in -3*d**4/5 + 3*d**3 - 9*d**2/5 - 3*d + 12/5 = 0?
-1, 1, 4
Solve -y**4/2 + 19*y**3 - 537*y**2/2 + 1672*y - 3872 = 0.
8, 11
Solve 8*b**5/11 + 40*b**4/11 + 6*b**3 + 40*b**2/11 + 8*b/11 = 0 for b.
-2, -1/2, 0
Factor 18*g**3/11 - 354*g**2/11 - 120*g/11.
6*g*(g - 20)*(3*g + 1)/11
Solve -2*z**5 - 528*z**4 - 34846*z**3 + 528*z**2 + 34848*z = 0.
-132, -1, 0, 1
Solve -2*k**4/3 + 8*k**3 + 2*k**2/3 - 8*k = 0 for k.
-1, 0, 1, 12
Factor t**4 - 33*t**3 - t**2 + 33*t.
t*(t - 33)*(t - 1)*(t + 1)
Determine g, given that 5*g**4 + 133*g**3 - 54*g**2 = 0.
-27, 0, 2/5
Determine o so that 2*o**3/19 + 92*o**2/19 - 2*o/19 - 92/19 = 0.
-46, -1, 1
Determine a so that 5*a**4/2 - a**3/2 - 35*a**2/2 - 23*a/2 + 3 = 0.
-2, -1, 1/5, 3
Suppose 3*x**3 - 6975*x**2 + 27864*x - 27852 = 0. What is x?
2, 2321
Determine q, given that -q**5 - 13*q**4 - 66*q**3 - 164*q**2 - 200*q - 96 = 0.
-4, -3, -2
Factor 2*i**5 - 18*i**4 + 48*i**3 - 32*i**2.
2*i**2*(i - 4)**2*(i - 1)
Let -120*k**4 + 1445*k**3 - 2445*k**2 - 80*k + 300 = 0. What is k?
-1/3, 3/8, 2, 10
Let 4*z**3/9 - 560*z**2/3 + 59356*z/3 - 349448/9 = 0. Calculate z.
2, 209
Factor -3*c**2 - 123*c - 342.
-3*(c + 3)*(c + 38)
Factor 3*p**4 + 6*p**3 - 72*p**2 - 150*p - 75.
3*(p - 5)*(p + 1)**2*(p + 5)
Factor 4*h**4 - 144*h**3 + 1944*h**2 - 11664*h + 26244.
4*(h - 9)**4
Solve 5*t**2 - 185*t - 600 = 0 for t.
-3, 40
Factor -c**4 - 144*c**3 - 5180*c**2 + 576*c + 20736.
-(c - 2)*(c + 2)*(c + 72)**2
Find n such that -3*n**5/7 + 6*n**4 - 171*n**3/7 + 228*n**2/7 - 96*n/7 = 0.
0, 1, 4, 8
Find m such that -2*m**4 + 48*m**3 - 170*m**2 + 204*m - 80 = 0.
1, 2, 20
Find c such that -5*c**4 - 193*c**3 + 83*c**2 + 193*c - 78 = 0.
-39, -1, 2/5, 1
Factor 5*b**3/3 + 10*b**2/3 - 100*b/3 + 40.
5*(b - 2)**2*(b + 6)/3
Factor 3*j**3 + 36*j**2 + 144*j + 192.
3*(j + 4)**3
Let -m**2 + 68*m + 69 = 0. What is m?
-1, 69
Find r, given that 2*r**4/7 + 8*r**3 - 2*r**2 - 380*r/7 + 48 = 0.
-28, -3, 1, 2
Factor 5*r**4 + 210*r**3 - 2740*r**2 + 9150*r - 6625.
5*(r - 5)**2*(r - 1)*(r + 53)
Determine j, given that 4*j**5/7 + 48*j**4/7 + 216*j**3/7 + 64*j**2 + 60*j + 144/7 = 0.
-4, -3, -1
Factor 2*z**3/11 + 118*z**2/11 + 1308*z/11 + 2160/11.
2*(z + 2)*(z + 12)*(z + 45)/11
Suppose b**5 + 4*b**4 - 2*b**3 - 8*b**2 + b + 4 = 0. Calculate b.
-4, -1, 1
Factor 5*y**3 - 200*y**2 + 1315*y - 1120.
5*(y - 32)*(y - 7)*(y - 1)
Determine f, given that -5*f**2 + 30*f - 45 = 0.
3
Determine f, given that -20*f**5 - 72*f**4 + 1172*f**3 - 1256*f**2 - 1680*f + 800 = 0.
-10, -1, 2/5, 2, 5
Determine z so that -2*z**2 - 104*z - 384 = 0.
-48, -4
Find u, given that -2*u**5/7 + 10*u**4/7 - 6*u**3/7 - 10*u**2/7 + 8*u/7 = 0.
-1, 0, 1, 4
Let 2*o**2 - 44*o = 0. What is o?
0, 22
What is i in -118*i**2/3 - 38*i + 4/3 = 0?
-1, 2/59
Factor -h**3 - 147*h**2 - 5616*h - 15552.
-(h + 3)*(h + 72)**2
Determine c, given that 3*c**3/2 - 147*c**2/2 + 285*c/2 - 141/2 = 0.
1, 47
Factor p**4 + 2*p**3 - 43*p**2 - 80*p + 300.
(p - 6)*(p - 2)*(p + 5)**2
Solve -32*y**3 + 21872*y**2 - 32754*y + 12276 = 0.
3/4, 682
Let 2*h**2 + 30*h - 108 = 0. Calculate h.
-18, 3
Suppose -2*n**2/15 + 48*n/5 - 864/5 = 0. Calculate n.
36
Factor 1106*w**5/15 + 664*w**4/3 + 1108*w**3/5 + 1112*w**2/15 + 2*w/15.
2*w*(w + 1)**3*(553*w + 1)/15
Find u such that 7*u**5/10 + 5*u**4/2 + 19*u**3/10 - 17*u**2/10 - 13*u/5 - 4/5 = 0.
-2, -1, -4/7, 1
Factor -4*v**4 + 24*v**3 + 64*v**2.
-4*v**2*(v - 8)*(v + 2)
Factor 27*v**3 - 279*v**2 - 195*v - 33.
3*(v - 11)*(3*v + 1)**2
Factor -2*m**3 + 1212*m**2 + 4872*m + 4880.
-2*(m - 610)*(m + 2)**2
Let -5*p**4/2 - 50*p**3 - 655*p**2/2 - 760*p - 480 = 0. Calculate p.
-8, -3, -1
Determine b so that 2*b**3/7 - 12*b**2/7 - 30*b/7 + 200/7 = 0.
-4, 5
Solve 10*y**5 - 738*y**4 - 8672*y**3/5 + 23896*y**2/5 - 14016*y/5 + 2432/5 = 0 for y.
-4, 2/5, 1, 76
Solve 8*i**2 - 508*i + 252 = 0 for i.
1/2, 63
Factor 2*g**4 + 4*g**3 - 32*g**2 - 64*g.
2*g*(g - 4)*(g + 2)*(g + 4)
Determine o, given that o**5 - 58*o**4 + 840*o**3 + 58*o**2 - 841*o = 0.
-1, 0, 1, 29
Determine z, given that 3*z**2/8 - 5225*z/8 + 1741/4 = 0.
2/3, 1741
Suppose 20*p**4 - 1268*p**3 + 26964*p**2 - 195804*p + 74088 = 0. Calculate p.
2/5, 21
Solve -4*c**5/3 - 3*c**4 - 2*c**3 - c**2/3 = 0.
-1, -1/4, 0
Factor -32*x**3/3 + 1840*x**2/3 - 4450*x/3 + 2750/3.
-2*(x - 55)*(4*x - 5)**2/3
Factor 2*c**2/13 - 6*c/13 + 4/13.
2*(c - 2)*(c - 1)/13
Determine c, given that 4*c**2 - 80*c + 336 = 0.
6, 14
Factor -d**4 + 3*d**3 + 2*d**2 - 12*d + 8.
-(d - 2)**2*(d - 1)*(d + 2)
Solve -3*m**5 + 36*m**4 - 24*m**3 - 102*m**2 + 27*m + 66 = 0 for m.
-1, 1, 2, 11
Factor -2*j**3/5 + 72*j**2 - 16554*j/5 + 31684/5.
-2*(j - 89)**2*(j - 2)/5
Determine m so that m**4/6 + m**3/6 - 5*m**2 + 38*m/3 - 28/3 = 0.
-7, 2
Solve -2*m**3 - 8*m**2 + 192*m = 0 for m.
-12, 0, 8
Factor -162*x**5/7 - 2700*x