1, 75
Factor 245*d**3 + 15330*d**2 + 8700*d + 1240.
5*(d + 62)*(7*d + 2)**2
Solve -k**5/3 + 10*k**4/3 + 23*k**3 + 30*k**2 = 0 for k.
-3, -2, 0, 15
Suppose -c**3/2 + 4*c**2 + 6*c - 72 = 0. What is c?
-4, 6
Find h, given that -h**2/5 + 38*h/5 - 72/5 = 0.
2, 36
What is o in -o**4/5 - 8*o**3/5 - 23*o**2/5 - 28*o/5 - 12/5 = 0?
-3, -2, -1
Factor 3*m**3/7 + 465*m**2/7 + 19125*m/7 + 84375/7.
3*(m + 5)*(m + 75)**2/7
Determine b, given that -4*b**5 + 30*b**4 - 54*b**3 = 0.
0, 3, 9/2
Suppose 60*q**4/7 + 66*q**3/7 - 114*q**2/7 - 12*q/7 = 0. What is q?
-2, -1/10, 0, 1
Factor -2*y**5/5 + 22*y**4 + 226*y**3/5 + 114*y**2/5.
-2*y**2*(y - 57)*(y + 1)**2/5
What is v in 3*v**2/7 + 27*v/7 - 30 = 0?
-14, 5
Solve -5*b**3 - 20*b**2 + 475*b + 990 = 0.
-11, -2, 9
What is h in -4*h**2 + 52*h + 56 = 0?
-1, 14
Suppose 36*j**5/5 + 136*j**4/5 - 136*j**3 + 864*j**2/5 - 412*j/5 + 56/5 = 0. Calculate j.
-7, 2/9, 1
Factor 2*p**2/7 - 58*p/7 - 3540/7.
2*(p - 59)*(p + 30)/7
Let 9*g**5/5 - 33*g**4/5 - 99*g**3/5 + 213*g**2/5 - 18*g = 0. What is g?
-3, 0, 2/3, 1, 5
Factor -3993*d**4/8 + 7260*d**3 - 3861*d**2 + 696*d - 42.
-3*(d - 14)*(11*d - 2)**3/8
Factor -m**4/5 - 2*m**3 - 13*m**2/5 + 24*m/5.
-m*(m - 1)*(m + 3)*(m + 8)/5
Factor 148*d**2/17 - 26*d - 6/17.
2*(d - 3)*(74*d + 1)/17
Let j**2/3 + 25*j/3 + 48 = 0. What is j?
-16, -9
Determine h so that h**4/4 + 11*h**3/4 + 9*h**2/2 = 0.
-9, -2, 0
Let 4*c**5 + 268*c**4 + 508*c**3 - 780*c**2 = 0. What is c?
-65, -3, 0, 1
Factor -b**2 - 178*b + 360.
-(b - 2)*(b + 180)
Factor 3*n**3/2 + 54*n**2 - 111*n/2.
3*n*(n - 1)*(n + 37)/2
Determine s so that 5*s**3 - 40*s**2 + 65*s - 30 = 0.
1, 6
Suppose -2*x**2/3 + 42*x - 124/3 = 0. Calculate x.
1, 62
Let -n**4 - 4*n**3 - 5*n**2 - 2*n = 0. Calculate n.
-2, -1, 0
Let -592*o**2 + 591*o + 1 = 0. What is o?
-1/592, 1
What is r in -4*r**2 + 100*r + 464 = 0?
-4, 29
Determine o, given that 220*o**4 - 1985*o**3 + 45*o**2 = 0.
0, 1/44, 9
Factor -3*d**3 + 21*d**2 + 210*d + 312.
-3*(d - 13)*(d + 2)*(d + 4)
Suppose z**2/3 - 11*z - 70/3 = 0. What is z?
-2, 35
Suppose -85*h**3 - 2200*h**2 - 3820*h + 480 = 0. What is h?
-24, -2, 2/17
What is v in -v**3/9 - 25*v**2/9 = 0?
-25, 0
Factor -4*h**2 + 84*h + 88.
-4*(h - 22)*(h + 1)
Let 3*d**3 + 6*d**2 - 15*d - 18 = 0. Calculate d.
-3, -1, 2
Let -2*z**2/9 - 34*z - 304/9 = 0. What is z?
-152, -1
Solve -2*u**4/11 - 14*u**3/11 + 10*u**2/11 + 150*u/11 = 0 for u.
-5, 0, 3
Let -5*d**2 + 105*d - 100 = 0. What is d?
1, 20
Factor 5*i**3 - 420*i**2 - 9180*i.
5*i*(i - 102)*(i + 18)
Find l, given that -l**2/8 - 125*l/4 + 63 = 0.
-252, 2
Suppose -2*y**3/3 - 188*y**2/3 - 1590*y - 5400 = 0. What is y?
-45, -4
Factor -3*v**5.
-3*v**5
Factor -2*d**3/19 + 12*d**2/19 + 30*d/19 + 16/19.
-2*(d - 8)*(d + 1)**2/19
Factor -v**4/3 + 10*v**3/3 - 11*v**2 + 40*v/3 - 16/3.
-(v - 4)**2*(v - 1)**2/3
Factor 2*r**3/11 + 122*r**2/11 + 32*r + 232/11.
2*(r + 1)*(r + 2)*(r + 58)/11
Determine g, given that 484*g**5/3 - 2200*g**4/3 - 5928*g**3 - 5328*g**2 + 4284*g - 648 = 0.
-3, -2, 3/11, 9
Factor -2*j**5/13 - 20*j**4 - 1250*j**3/13.
-2*j**3*(j + 5)*(j + 125)/13
Suppose -4*q**2/3 + 584*q/3 + 196 = 0. What is q?
-1, 147
Let -5*o**2 - 5820*o - 1693620 = 0. Calculate o.
-582
Factor -a**2/7 + 62*a/7 + 195/7.
-(a - 65)*(a + 3)/7
Let 2*f**3 - 14*f**2 - 98*f + 686 = 0. Calculate f.
-7, 7
Factor 2*p**3/9 - 20*p**2/9 + 46*p/9 - 28/9.
2*(p - 7)*(p - 2)*(p - 1)/9
Factor -5*z**3 - 5*z**2 + 80*z - 100.
-5*(z - 2)**2*(z + 5)
Let -3*m**5 - 6*m**4 + 9*m**3 + 24*m**2 + 12*m = 0. What is m?
-2, -1, 0, 2
What is m in -2*m**5/11 - 12*m**4 - 2176*m**3/11 + 12*m**2 + 198*m = 0?
-33, -1, 0, 1
What is h in -2*h**3 - 108*h**2 - 1944*h - 11664 = 0?
-18
What is n in 2*n**5 - 23*n**4 - 58*n**3 + 253*n**2 - 70*n - 104 = 0?
-4, -1/2, 1, 2, 13
Factor 3*s**4/5 + 3*s**3 - 36*s**2/5 - 48*s - 192/5.
3*(s - 4)*(s + 1)*(s + 4)**2/5
Factor 3*u**2 - 75*u + 198.
3*(u - 22)*(u - 3)
Suppose -2*v**3/5 + 133*v**2 - 329*v/5 - 996/5 = 0. Calculate v.
-1, 3/2, 332
Find t such that 5*t**2 - 330*t + 5445 = 0.
33
Factor 35*d**3/6 - 101*d**2/6 + 22*d/3 + 6.
(d - 2)*(5*d + 2)*(7*d - 9)/6
Factor 274*w**2 + 8*w.
2*w*(137*w + 4)
Suppose 3*m**5 + 27*m**4 = 0. What is m?
-9, 0
Factor 2*c**3 - 4*c**2 - 310*c + 312.
2*(c - 13)*(c - 1)*(c + 12)
Determine w so that 4*w**2/5 + 656*w/5 - 1328/5 = 0.
-166, 2
Factor -147*r**4 - 378*r**3 - 327*r**2 - 108*r - 12.
-3*(r + 1)**2*(7*r + 2)**2
Factor -p**4/3 - 11*p**3 - 317*p**2/3 - 245*p - 150.
-(p + 1)*(p + 2)*(p + 15)**2/3
Solve -4*l**2/3 + 517*l/3 - 43 = 0 for l.
1/4, 129
Factor 28*j**2 - 5524*j + 1576.
4*(j - 197)*(7*j - 2)
Find v, given that 4*v**2 - 4296*v + 1153476 = 0.
537
Solve 2*d**5/5 - 18*d**4 + 172*d**3/5 = 0.
0, 2, 43
Determine d so that -2*d**5/3 + 28*d**4/3 - 128*d**3/3 + 76*d**2 - 42*d = 0.
0, 1, 3, 7
Solve -h**2/5 + 262*h/5 - 777/5 = 0 for h.
3, 259
Determine b so that 15*b**3 - 96*b**2 - 204*b + 96 = 0.
-2, 2/5, 8
Factor -2*d**4/9 - 10*d**3/9 - 4*d**2/9 + 16*d/9.
-2*d*(d - 1)*(d + 2)*(d + 4)/9
Factor -n**4 + 20*n**3 - 19*n**2.
-n**2*(n - 19)*(n - 1)
Factor s**2 + 3*s/2 - 1.
(s + 2)*(2*s - 1)/2
Find u, given that -u**3/2 + 28*u**2 - 106*u + 104 = 0.
2, 52
Factor r**4/8 - 103*r**3/8 + 2703*r**2/8 - 2601*r/8.
r*(r - 51)**2*(r - 1)/8
Factor -x**2/4 + 1399*x/4 - 1047.
-(x - 1396)*(x - 3)/4
Factor -4*s**2 - 28*s - 49.
-(2*s + 7)**2
Factor 3*k**2 - 24*k + 36.
3*(k - 6)*(k - 2)
Solve 32*g**4/9 - 2032*g**3/9 - 346*g**2/3 + 898*g/9 - 128/9 = 0 for g.
-1, 1/4, 64
Find f such that -3*f**3/8 + 195*f**2/4 = 0.
0, 130
Factor 3*h**4/4 - 6*h**3 + 33*h**2/4 + 15*h.
3*h*(h - 5)*(h - 4)*(h + 1)/4
Solve -2*m**4/11 - 10*m**3/11 + 6*m**2/11 + 34*m/11 + 20/11 = 0.
-5, -1, 2
Let 4*y**3/9 + 34*y**2/9 + 10*y + 8 = 0. Calculate y.
-4, -3, -3/2
Determine m so that -2*m**5/5 + 32*m**4/5 - 128*m**3/5 = 0.
0, 8
Factor 9*j**3/8 + 15*j**2/8 - 3*j/2 - 3/2.
3*(j - 1)*(j + 2)*(3*j + 2)/8
Solve -x**2/5 - 12*x/5 - 27/5 = 0 for x.
-9, -3
Let 3*o**3/2 + 153*o**2 + 591*o/2 - 450 = 0. Calculate o.
-100, -3, 1
Factor 3*v**3/4 + 237*v**2/4 - 1410*v + 7425.
3*(v - 10)**2*(v + 99)/4
Factor 3*n**4 + 24*n**3 + 24*n**2 - 96*n - 144.
3*(n - 2)*(n + 2)**2*(n + 6)
Determine l, given that -3*l**3/2 - 20*l**2 + 123*l/2 - 40 = 0.
-16, 1, 5/3
Factor 35*o**4 + 1550*o**3 + 11465*o**2 + 3150*o.
5*o*(o + 9)*(o + 35)*(7*o + 2)
Factor -c**5/2 + c**4/2 + 8*c**3 + 10*c**2.
-c**2*(c - 5)*(c + 2)**2/2
Find x, given that -5*x**3 - 455*x**2 - 10575*x - 10125 = 0.
-45, -1
Solve 3*u**2 - 45*u = 0 for u.
0, 15
Find y such that -20*y**2 - 100*y - 125 = 0.
-5/2
Solve -375*q**3 + 2025*q**2 - 3645*q + 2187 = 0.
9/5
Factor 2*k**5/3 + 4*k**4 - 36*k**2 - 54*k.
2*k*(k - 3)*(k + 3)**3/3
Solve -2*x**5/9 - 4*x**4/3 + 2*x**3/3 + 32*x**2/9 - 8*x/3 = 0 for x.
-6, -2, 0, 1
Suppose m**4 + 40*m**3 + 216*m**2 + 416*m + 272 = 0. What is m?
-34, -2
Determine q so that 35*q**4 - 66*q**3 - 117*q**2 - 4*q + 12 = 0.
-1, -2/5, 2/7, 3
Let -2*k**2 + 4*k + 720 = 0. Calculate k.
-18, 20
Factor -36*r**4 + 40*r**3 - 4*r**2.
-4*r**2*(r - 1)*(9*r - 1)
Suppose -3*y**4/4 - 15*y**3 - 81*y**2/2 - 39*y - 51/4 = 0. Calculate y.
-17, -1
Factor -b**3/5 - 41*b**2/5 - 88*b - 80.
-(b + 1)*(b + 20)**2/5
Find t such that -5*t**3 - 4*t**2 = 0.
-4/5, 0
Suppose 27*l**5/7 + 36*l**4/7 - 96*l**3/7 - 144*l**2/7 - 48*l/7 = 0. Calculate l.
-2, -2/3, 0, 2
Find d such that -2*d**2/17 - 25884*d/17 - 83747682/17 = 0.
-6471
Determine a, given that -3*a**4 + 155*a**3 - 252*a**2 + 100*a = 0.
0, 2/3, 1, 50
Factor 25*f**3 + 15*f**2 - 45*f - 35.
5*(f + 1)**2*(5*f - 7)
Factor o**2/5 + 73*o/5 - 74/5.
(o - 1)*(o + 74)/5
Factor x**4/5 + 6*x**3/5 + 12*x**2/5 + 8*x/5.
x*(x + 2)**3/5
Find t such that 2*t**2/9 + 100*t/3 + 1250 = 0.
-75
Determine r so that 4*r**4 + 8*r**3 - 16*r**2 - 8*r + 12 = 0.
-3, -1, 1
Factor -d**2 + 96*d + 297.
-(d - 99)*(d + 3)
Factor 97*u**5/3 + 293*u**4/3 + 99*u**3 + 103*u**2/3 + 2*u/3.
u*(u + 1)**3*(97*u + 2)/3
Factor -4*a**3 - 116*a**2.
-4*a**2*(a + 29)
Find w such that 2*w**2/15 - 7268*w/15 + 6602978/15 = 0.
1817
Factor 2*b**2 - 3*b + 1.
(b - 1)*(2*b - 1)
Suppose -4*p**3 - 40*p**2/3 - 4*p = 0. Calculate p.
-3, -1/3, 0
What is s in s**5/7 + 8*s**4/7 - 2*s**3/7 - 16*s**2/7 + s/7 + 8/7 = 0?
-8, -1, 1
Factor -f**4/6 - 61*f**3/6 - 55*f**2/2 + 517*f/6 - 145/3.
-(f - 1)**2*(f + 5)*(f + 58)/6
Let c**2/7 + 4*c/7 = 0. What is c?
-4,