*3/4 + j/4 = 0. Calculate j.
-1, 0, 1
Factor j**2/8 + 831*j + 1381122.
(j + 3324)**2/8
Factor 25*o**3 + 15*o**2 + 3*o + 1/5.
(5*o + 1)**3/5
Determine r so that 4*r**3 - 64*r**2 + 60*r = 0.
0, 1, 15
Solve q**2 - 244*q + 960 = 0 for q.
4, 240
Factor -2*h**2/9 + 156*h - 1402/9.
-2*(h - 701)*(h - 1)/9
Suppose 9*a**2 - 7738*a - 1720 = 0. Calculate a.
-2/9, 860
Factor 2*v**2/11 - 6108*v/11 + 4663458/11.
2*(v - 1527)**2/11
Solve 5*o**5 - 45*o**4 - 70*o**3 + 180*o**2 + 200*o = 0.
-2, -1, 0, 2, 10
Factor h**2/6 + 17*h + 100/3.
(h + 2)*(h + 100)/6
Suppose 2*k**2 + 1146*k = 0. Calculate k.
-573, 0
Solve -4*g**2/7 - 72*g/7 + 160/7 = 0 for g.
-20, 2
Determine f so that -6*f**4/5 - 417*f**3/5 - 7521*f**2/5 - 8568*f/5 + 31212/5 = 0.
-34, -3, 3/2
Suppose i**3/5 - i**2 - 2*i/5 + 24/5 = 0. Calculate i.
-2, 3, 4
Suppose b**2/5 + 302*b/5 + 120 = 0. What is b?
-300, -2
Let -4*v**2 + 5808*v - 2108304 = 0. Calculate v.
726
Factor 2*u**2/15 + 3716*u/5 + 5178246/5.
2*(u + 2787)**2/15
Find l, given that -2*l**2 + 266*l - 1524 = 0.
6, 127
Factor 5*z**4 + 65*z**3 + 220*z**2 + 160*z.
5*z*(z + 1)*(z + 4)*(z + 8)
Solve j**4/8 + j**3/2 + 3*j**2/8 = 0 for j.
-3, -1, 0
Determine y, given that -2*y**5 - 80*y**4 + 12*y**3 + 464*y**2 - 634*y + 240 = 0.
-40, -3, 1
Factor 9*p**4/5 - 97*p**3/5 + 293*p**2/5 - 31*p - 10.
(p - 5)**2*(p - 1)*(9*p + 2)/5
Solve -3*z**2 - 153*z = 0 for z.
-51, 0
Suppose -f**3/11 - 3*f**2/11 + 25*f/11 - 21/11 = 0. Calculate f.
-7, 1, 3
Let 15*m**3 + 201*m**2 + 609*m - 441 = 0. Calculate m.
-7, 3/5
Factor -2*a**5/19 - 8*a**4/19 - 10*a**3/19 - 4*a**2/19.
-2*a**2*(a + 1)**2*(a + 2)/19
Determine g so that -5*g**3 - 565*g**2 + 2340*g = 0.
-117, 0, 4
Find c, given that 5*c**4 + 72*c**3 + 153*c**2 + 110*c + 24 = 0.
-12, -1, -2/5
Determine k so that -2*k**3 + 118*k**2 + 498*k + 378 = 0.
-3, -1, 63
Factor 2*s**3/3 - 66*s**2 - 272*s - 824/3.
2*(s - 103)*(s + 2)**2/3
Let 3*t**5/5 + 189*t**4/5 + 4362*t**3/5 + 8574*t**2 + 135603*t/5 - 183027/5 = 0. Calculate t.
-19, -13, 1
Solve -4*d**3/3 + 16*d**2 + 60*d = 0.
-3, 0, 15
Find g such that 4*g**5/7 + 27*g**4/7 - g**3 = 0.
-7, 0, 1/4
Factor 3*l**3/2 - 189*l**2/2 + 2637*l/2 - 2451/2.
3*(l - 43)*(l - 19)*(l - 1)/2
Suppose -h**3/4 + 305*h**2 - 93025*h = 0. Calculate h.
0, 610
Factor 2*p**3/9 + 4*p**2 + 34*p/9.
2*p*(p + 1)*(p + 17)/9
Find p such that -5*p**3 - 45*p**2 - 115*p - 75 = 0.
-5, -3, -1
Factor 4*g**2 - 28*g/5 - 552/5.
4*(g - 6)*(5*g + 23)/5
Suppose -2*p**5 + 2*p**4 + 6*p**3 - 10*p**2 + 4*p = 0. What is p?
-2, 0, 1
Factor -2*f**2/17 + 154*f/17 - 152/17.
-2*(f - 76)*(f - 1)/17
Factor -n**3 - 21*n**2 - 18*n + 40.
-(n - 1)*(n + 2)*(n + 20)
Let -27*p**2 - 51*p + 6 = 0. What is p?
-2, 1/9
Factor 2*t**5/3 + 10*t**4/3 + 6*t**3 + 14*t**2/3 + 4*t/3.
2*t*(t + 1)**3*(t + 2)/3
Solve -20*t**5/19 - 18*t**4/19 + 26*t**3/19 + 22*t**2/19 - 6*t/19 - 4/19 = 0 for t.
-1, -2/5, 1/2, 1
Let 28*s**4 + 172*s**3 + 164*s**2 + 20*s = 0. What is s?
-5, -1, -1/7, 0
Solve 16*t**3 + 3092*t**2 + 772*t = 0.
-193, -1/4, 0
Factor -3*p**3/2 - 63*p**2 + 129*p/2.
-3*p*(p - 1)*(p + 43)/2
Factor -3*s**2/7 + 54*s - 2160/7.
-3*(s - 120)*(s - 6)/7
Suppose 4*i**3 - 17*i**2 + 20*i - 4 = 0. Calculate i.
1/4, 2
Find t, given that -4*t**4 + 64*t**3 - 284*t**2 + 464*t - 240 = 0.
1, 2, 3, 10
Let u**3/4 - 5*u**2/2 + 7*u/4 + 9/2 = 0. Calculate u.
-1, 2, 9
Factor 2890*r**3 + 30005*r**2 + 84840*r + 35280.
5*(2*r + 1)*(17*r + 84)**2
Factor -2*j**3/7 - 38*j**2/7 + 176*j/7 - 184/7.
-2*(j - 2)**2*(j + 23)/7
Factor -12*m**3 - 231*m**2 - 651*m - 432.
-3*(m + 1)*(m + 16)*(4*m + 9)
Let p**2 + 20*p = 0. What is p?
-20, 0
Factor -v**5/4 + 29*v**4/4 - 53*v**3/2 + 77*v**2/2 - 101*v/4 + 25/4.
-(v - 25)*(v - 1)**4/4
Factor 4*y**3 + 280*y**2 - 4*y - 280.
4*(y - 1)*(y + 1)*(y + 70)
Factor -2*m**3/3 + 1982*m**2/3 - 490048*m/3 - 492032/3.
-2*(m - 496)**2*(m + 1)/3
Factor 27*u**3/7 - 18*u**2/7 - 3*u - 4/7.
(3*u - 4)*(3*u + 1)**2/7
Suppose -256*r**4 - 5056*r**3 - 3696*r**2 - 916*r - 76 = 0. What is r?
-19, -1/4
Factor 2*j**3/15 - 6424*j**2/15 - 12854*j/15 - 6428/15.
2*(j - 3214)*(j + 1)**2/15
Factor 4*q**4 + 2496*q**3 - 12*q**2 - 7496*q - 4992.
4*(q - 2)*(q + 1)**2*(q + 624)
Factor h**3 + 22*h**2 + 89*h + 68.
(h + 1)*(h + 4)*(h + 17)
Factor s**5 - 10*s**4 + 28*s**3 - 24*s**2.
s**2*(s - 6)*(s - 2)**2
Suppose 3*x**4 + 54*x**3 + 48*x**2 - 54*x - 51 = 0. What is x?
-17, -1, 1
Factor -r**3/3 - r**2 + 6*r + 40/3.
-(r - 4)*(r + 2)*(r + 5)/3
Let -a**5/4 + 7*a**4/4 - 3*a**3/2 - 11*a**2/2 + 7*a/4 + 15/4 = 0. What is a?
-1, 1, 3, 5
Solve -t**4 - 4*t**3 + t**2 + 16*t + 12 = 0.
-3, -2, -1, 2
What is s in -4*s**5 - 232*s**4 - 668*s**3 - 440*s**2 = 0?
-55, -2, -1, 0
Determine q so that 13*q**5 + 777*q**4 - 193*q**3 - 777*q**2 + 180*q = 0.
-60, -1, 0, 3/13, 1
Factor -2*s**3 + 36*s**2 + 75*s/2 + 19/2.
-(s - 19)*(2*s + 1)**2/2
Factor 484*b**3 - 68068*b**2 - 24800*b - 2256.
4*(b - 141)*(11*b + 2)**2
Factor 4489*v**2/9 + 938*v/9 + 49/9.
(67*v + 7)**2/9
Factor 10*b**3 + 75*b**2 - 40*b.
5*b*(b + 8)*(2*b - 1)
Determine z, given that 9*z**3 + 471*z**2 + 6240*z + 2028 = 0.
-26, -1/3
Solve 9*g**5/5 - 78*g**4/5 - 323*g**3/5 - 424*g**2/5 - 236*g/5 - 48/5 = 0 for g.
-1, -2/3, 12
Find q such that -4*q**5 + 356*q**4 + 2228*q**3 + 4892*q**2 + 4544*q + 1520 = 0.
-2, -1, 95
Factor j**4/10 + j**3/10 - 3*j**2/5 - 2*j/5 + 4/5.
(j - 2)*(j - 1)*(j + 2)**2/10
Determine u, given that -u**5/2 - 3*u**4/2 - 3*u**3/2 - u**2/2 = 0.
-1, 0
Factor w**4/3 + 28*w**3/3 + 244*w**2/3 + 224*w + 192.
(w + 2)**2*(w + 12)**2/3
Find n such that 2*n**2 + 860*n + 92450 = 0.
-215
Suppose 2*g**3/9 - 34*g**2/9 + 50*g/3 - 22 = 0. Calculate g.
3, 11
Factor 2*h**3/7 - 312*h**2/7 + 13320*h/7 - 87616/7.
2*(h - 74)**2*(h - 8)/7
Factor -2*g**5/5 - 16*g**4/5 - 36*g**3/5 - 32*g**2/5 - 2*g.
-2*g*(g + 1)**3*(g + 5)/5
Let 4*f**3/5 + 6708*f**2/5 + 3749772*f/5 + 698707516/5 = 0. What is f?
-559
What is j in 14*j**4/5 + 634*j**3/5 - 1122*j**2/5 + 286*j/5 + 188/5 = 0?
-47, -2/7, 1
Find n such that 3*n**3 - 84*n**2 - 1215*n - 2808 = 0.
-8, -3, 39
Determine m, given that 4*m**4 - 36*m**3 - 324*m**2 - 540*m = 0.
-3, 0, 15
What is k in 2*k**2 - 110*k + 108 = 0?
1, 54
Factor -s**5/2 + 4*s**4 - 8*s**3.
-s**3*(s - 4)**2/2
Factor 12*z**4 - 213*z**3 + 1242*z**2 - 2268*z - 648.
3*(z - 6)**3*(4*z + 1)
Let -4*w**3 - 92*w**2 + 1320*w = 0. What is w?
-33, 0, 10
Factor -2*d**5/3 - 44*d**4 + 134*d**3/3.
-2*d**3*(d - 1)*(d + 67)/3
Suppose -3*n**5 - 93*n**4 - 921*n**3 - 3171*n**2 - 4368*n - 2028 = 0. Calculate n.
-13, -2, -1
Factor 2*k**2/21 + 156*k/7.
2*k*(k + 234)/21
Factor -5*w**4 + 15*w**3 + 25*w**2 - 15*w - 20.
-5*(w - 4)*(w - 1)*(w + 1)**2
Find m such that 4*m**4 - 768*m**3 + 55296*m**2 - 1769472*m + 21233664 = 0.
48
Factor s**4/3 + 14*s**3/3 + 4*s**2 - 14*s/3 - 13/3.
(s - 1)*(s + 1)**2*(s + 13)/3
Find l, given that l**2/9 + 37*l - 112 = 0.
-336, 3
Factor 4*x**2 - 8448*x - 16912.
4*(x - 2114)*(x + 2)
Let 20*t**5 - 44*t**4 + 4*t**3 + 44*t**2 - 24*t = 0. Calculate t.
-1, 0, 1, 6/5
Suppose 3*s**2/2 + 72*s + 141/2 = 0. Calculate s.
-47, -1
Let -2*c**2/15 = 0. What is c?
0
Factor 2*h**3/7 + 106*h**2/7.
2*h**2*(h + 53)/7
Suppose -3*n**4/5 + 11*n**3/5 + n**2/5 - 19*n/5 - 6/5 = 0. What is n?
-1, -1/3, 2, 3
Find a, given that -2*a**4/9 - 16*a**3/9 - 10*a**2/9 + 28*a/9 = 0.
-7, -2, 0, 1
Solve -56*v**3 - 156*v**2 - 124*v - 24 = 0 for v.
-3/2, -1, -2/7
Factor -b**3/4 - 133*b**2/4 - 33*b.
-b*(b + 1)*(b + 132)/4
Factor -n**2 + 15*n - 26.
-(n - 13)*(n - 2)
Factor 180*l**3 + 712*l**2 + 508*l - 24.
4*(l + 1)*(l + 3)*(45*l - 2)
Suppose -2*w**2/13 - 34*w/13 - 60/13 = 0. What is w?
-15, -2
Factor 4*x**5 - 16*x**4 - 44*x**3 + 120*x**2.
4*x**2*(x - 5)*(x - 2)*(x + 3)
Solve 3*o**4 + 18*o**3 + 24*o**2 - 18*o - 27 = 0.
-3, -1, 1
Solve z**4/3 + 2*z**3 - 7*z**2 - 34*z/3 + 16 = 0 for z.
-8, -2, 1, 3
Suppose 3*d**3 - 123*d**2 + 657*d - 945 = 0. Calculate d.
3, 35
Factor j**4/3 - 3*j**3 + 7*j**2 - 19*j/3 + 2.
(j - 6)*(j - 1)**3/3
Find z such that -5*z**4 + 10400*z**3 - 5408000*z**2 = 0.
0, 1040
Factor -5*m**3 + 3225*m**2 - 6435*m + 3215.
-5*(m - 643)*(m - 1)**2
Let 50*l**4 - 1105*l**3 + 2170*l**2 - 1415*l + 300 = 0. What is l?
1/2, 3/5, 1, 20
Factor -4*f**2 + 12*f + 72.
-4*(f - 6)*(f + 3)
Factor -x**4 + 35*x**3 - 294*x**2 - 1372*x + 19208.
-(x - 14)**3*(x + 7)
Solve -j**3/3 - 38*j**2/3 + 80*j/3 = 0 for j.
-