025 = 0.
-1935
Find r such that 42*r**2 + 44*r + 2 = 0.
-1, -1/21
Factor -d**2/5 + 39*d - 576/5.
-(d - 192)*(d - 3)/5
Suppose 3*u**2/2 + 105*u/2 + 99 = 0. Calculate u.
-33, -2
Factor -2*g**2/25 - 32448*g/25 - 131609088/25.
-2*(g + 8112)**2/25
Find m such that -2*m**3 - 4446*m**2 - 3294486*m - 813738042 = 0.
-741
Factor -5*o**4 + 40*o**3.
-5*o**3*(o - 8)
What is m in m**5/2 + 13*m**4/2 + 3*m**3/2 - 117*m**2/2 - 54*m = 0?
-12, -3, -1, 0, 3
Factor 2*a**3 + 70*a**2 + 518*a + 450.
2*(a + 1)*(a + 9)*(a + 25)
Factor 3*m**2/4 - 495*m/2 + 987/4.
3*(m - 329)*(m - 1)/4
What is v in -2*v**3/7 + 40*v**2/7 + 138*v/7 = 0?
-3, 0, 23
Factor -2*h**5 - 60*h**4 - 622*h**3 - 2556*h**2 - 2376*h + 5616.
-2*(h - 1)*(h + 6)**3*(h + 13)
Factor -2*w**3 + 64*w**2.
-2*w**2*(w - 32)
Factor 4*i**3 - 652*i**2 + 26892*i - 26244.
4*(i - 81)**2*(i - 1)
Factor 4*l**2/9 + 41*l + 92/9.
(l + 92)*(4*l + 1)/9
Determine w so that -w**2/6 - 3*w + 19/6 = 0.
-19, 1
Factor 3*l**3/7 - 24*l**2/7 + 60*l/7 - 48/7.
3*(l - 4)*(l - 2)**2/7
Factor 4*k**2/3 - 8*k/3 - 1120.
4*(k - 30)*(k + 28)/3
Factor -b**5/5 + 7*b**4 - 394*b**3/5 + 1224*b**2/5 + 2592*b/5 - 3456/5.
-(b - 12)**3*(b - 1)*(b + 2)/5
Determine r, given that -2*r**3/3 - 16*r**2 - 46*r/3 = 0.
-23, -1, 0
Factor 3*m**2 - 414*m.
3*m*(m - 138)
Solve 2*t**2/3 - 196*t/3 + 4802/3 = 0 for t.
49
Solve 21*f**4/5 - 9*f**3/5 - 54*f**2/5 - 24*f/5 = 0.
-1, -4/7, 0, 2
Factor 45*s**3 + 3075*s**2 - 2065*s + 345.
5*(s + 69)*(3*s - 1)**2
Suppose -3*a**3 - 21*a**2 + 132*a = 0. What is a?
-11, 0, 4
Determine l, given that -l**5 + 43*l**4 - 83*l**3 + 41*l**2 = 0.
0, 1, 41
Find n such that 34*n**4/7 - 160*n**3/7 + 218*n**2/7 - 92*n/7 = 0.
0, 1, 46/17
Factor i**2/4 - 1427*i/4 + 713/2.
(i - 1426)*(i - 1)/4
Factor o**3/10 + 57*o**2/10 + 111*o/10 + 11/2.
(o + 1)**2*(o + 55)/10
Determine g, given that -2*g**4/3 + 70*g**3/3 + 310*g**2/3 + 30*g - 156 = 0.
-3, -2, 1, 39
Factor -3*g**4 + 51*g**3 - 270*g**2 + 324*g + 648.
-3*(g - 6)**3*(g + 1)
Let -n**2 - 767*n = 0. Calculate n.
-767, 0
Determine o, given that -5*o**2 - 25*o = 0.
-5, 0
Suppose -j**3/10 + 9*j**2/10 + 11*j/5 = 0. What is j?
-2, 0, 11
Factor 3*i**3 + 2466*i**2 + 2463*i.
3*i*(i + 1)*(i + 821)
Factor -5*u**5 + 55*u**4 + 60*u**3.
-5*u**3*(u - 12)*(u + 1)
Suppose f**2/5 + 561*f/5 - 562/5 = 0. Calculate f.
-562, 1
Factor 5*b**4/3 - 135*b**3 + 400*b**2/3.
5*b**2*(b - 80)*(b - 1)/3
Suppose -4*d**4 - 20*d**3 - 8*d**2 + 32*d = 0. What is d?
-4, -2, 0, 1
Let -k**4/6 - 21*k**3/2 - 10*k**2 + 62*k/3 = 0. What is k?
-62, -2, 0, 1
Factor -5*s**2/4 - 145*s/2 - 4205/4.
-5*(s + 29)**2/4
Determine v so that -v**2 - 59*v - 490 = 0.
-49, -10
Determine k so that -3*k**3 + 1344*k**2 - 150528*k = 0.
0, 224
Suppose p**3/5 + 7*p**2/5 + 14*p/5 + 8/5 = 0. What is p?
-4, -2, -1
Factor 3*m**2/8 - 1413*m/2 + 5649/8.
3*(m - 1883)*(m - 1)/8
Let 5*i**2/4 - 2485*i/4 - 1875 = 0. Calculate i.
-3, 500
Factor 3*k**3 + 141*k**2 + 1173*k + 2331.
3*(k + 3)*(k + 7)*(k + 37)
Determine q, given that 6*q**5 - 124*q**4 + 2042*q**3/3 - 1240*q**2/3 + 200*q/3 = 0.
0, 1/3, 10
Suppose -b**3 - 121*b**2 - 3472*b + 11532 = 0. Calculate b.
-62, 3
Let 3*m**2 - 27858*m + 64672347 = 0. What is m?
4643
Factor 25*h**3 - 15*h**2 - 160*h - 60.
5*(h - 3)*(h + 2)*(5*h + 2)
Suppose 3*l**5/2 + 45*l**4/2 - 27*l**3 - 789*l**2 + 4851*l/2 - 3267/2 = 0. What is l?
-11, 1, 3
Solve 4*x**2/5 - 12*x/5 = 0.
0, 3
Factor -2*x**3/13 + 408*x**2/13 - 27744*x/13 + 628864/13.
-2*(x - 68)**3/13
What is q in 3*q**4 + 18*q**3 - 3*q**2 - 18*q = 0?
-6, -1, 0, 1
Determine c, given that -2*c**5 - 8*c**4 - 2*c**3 + 28*c**2 + 40*c + 16 = 0.
-2, -1, 2
What is o in -3*o**2 - 3789*o - 11340 = 0?
-1260, -3
Factor -30*v**4 + 888*v**3/5 - 1278*v**2/5 - 108*v/5.
-6*v*(v - 3)**2*(25*v + 2)/5
Let -16*k**4/3 + 58*k**3/3 + 8*k**2 = 0. What is k?
-3/8, 0, 4
Solve -4*o**5 - 4444*o**4 + 4*o**3 + 4444*o**2 = 0.
-1111, -1, 0, 1
Let -5*o**2 - 43390*o - 94134605 = 0. Calculate o.
-4339
Factor 2*b**2 - 14100*b + 24851250.
2*(b - 3525)**2
Let -1010*n**4 - 525*n**3 + 495*n**2 + 10*n = 0. What is n?
-1, -2/101, 0, 1/2
Determine z, given that -z**5/4 - z**4/4 = 0.
-1, 0
Suppose 2*u**4/7 - 16*u**3/7 - 38*u**2/7 - 20*u/7 = 0. Calculate u.
-1, 0, 10
Suppose 4*g**2/3 + 176*g + 5808 = 0. Calculate g.
-66
Determine n so that 3*n**4 + 72*n**3 + 66*n**2 - 72*n - 69 = 0.
-23, -1, 1
Determine q so that -q**5 + 33*q**4 + 2*q**3 - 66*q**2 - q + 33 = 0.
-1, 1, 33
Factor 2*n**5/5 + 42*n**4 + 1470*n**3 + 17150*n**2.
2*n**2*(n + 35)**3/5
Factor -2*z**5 - 4*z**4 + 8*z**3 + 16*z**2.
-2*z**2*(z - 2)*(z + 2)**2
Factor j**5 + 7*j**4 + 17*j**3 + 17*j**2 + 6*j.
j*(j + 1)**2*(j + 2)*(j + 3)
Factor -2*q**2/3 - 62*q/3 + 44.
-2*(q - 2)*(q + 33)/3
Find u, given that 363*u**3/7 + 2739*u**2/7 + 1413*u/7 + 27 = 0.
-7, -3/11
Factor -4*n**3/7 - 24*n**2/7 - 36*n/7.
-4*n*(n + 3)**2/7
Suppose -4*s**5 - 136*s**4 + 140*s**3 = 0. What is s?
-35, 0, 1
Factor y**2/4 - 1061*y + 1125721.
(y - 2122)**2/4
Factor z**4 + 25*z**3 - 26*z**2.
z**2*(z - 1)*(z + 26)
Factor t**5 - 239*t**4 + 19198*t**3 - 530722*t**2 + 1004801*t - 493039.
(t - 79)**3*(t - 1)**2
Factor -p**3 - 11*p**2 - 8*p + 20.
-(p - 1)*(p + 2)*(p + 10)
Solve 4*j**2/5 + 32*j/5 - 192/5 = 0.
-12, 4
Solve -2*w**2/7 + 58*w/7 + 60/7 = 0 for w.
-1, 30
What is t in -2*t**2 - 152*t - 296 = 0?
-74, -2
Solve -p**3 + p**2 + 4*p - 4 = 0.
-2, 1, 2
Factor 5*v**3 + 5*v**2 - 100*v.
5*v*(v - 4)*(v + 5)
Factor -r**2 - 516*r - 66564.
-(r + 258)**2
Suppose -3*y**4 + 39*y**3 - 117*y**2 - 39*y + 120 = 0. Calculate y.
-1, 1, 5, 8
Suppose 2*j**5/13 - 6*j**4/13 - 244*j**3/13 - 228*j**2/13 + 242*j/13 + 18 = 0. Calculate j.
-9, -1, 1, 13
Determine c so that 2*c**4 + 26*c**3 + 24*c**2 = 0.
-12, -1, 0
What is p in 1331*p**5 + 6534*p**4 + 5368*p**3 - 20304*p**2 - 42768*p - 23328 = 0?
-2, -18/11, 2
Factor -h**3/8 + 75*h/8 - 125/4.
-(h - 5)**2*(h + 10)/8
Solve -3*y**5/5 + 136*y**4/5 - 1494*y**3/5 - 1104*y**2/5 + 529*y/5 = 0 for y.
-1, 0, 1/3, 23
Factor 2*r**5/13 - 244*r**4/13 + 7682*r**3/13 - 14640*r**2/13 + 7200*r/13.
2*r*(r - 60)**2*(r - 1)**2/13
Factor -2*w**3/5 + 3336*w**2/5 - 1854816*w/5 + 343759232/5.
-2*(w - 556)**3/5
Determine x, given that 4*x**3 + 40*x**2 - 276*x + 360 = 0.
-15, 2, 3
Suppose -5*l**4 - 10*l**3 + 995*l**2 - 1940*l + 960 = 0. What is l?
-16, 1, 12
Factor 4*n**3/5 - 544*n**2/5 + 532*n/5 + 216.
4*(n - 135)*(n - 2)*(n + 1)/5
Find y such that -2*y**2/5 - 4656*y/5 - 2709792/5 = 0.
-1164
Factor 5*h**5 - 14*h**4 + 8*h**3 + 10*h**2 - 13*h + 4.
(h - 1)**3*(h + 1)*(5*h - 4)
Factor 3*b**3 - 12*b**2 - 240*b - 576.
3*(b - 12)*(b + 4)**2
Factor -5*w**2 + 30*w.
-5*w*(w - 6)
Factor 2*g**5/7 - 16*g**3/7 + 32*g/7.
2*g*(g - 2)**2*(g + 2)**2/7
Let n**5 + 4*n**4 - n**3 - 4*n**2 = 0. What is n?
-4, -1, 0, 1
Factor -5*c**4 - 15*c**3 - 5*c**2 + 15*c + 10.
-5*(c - 1)*(c + 1)**2*(c + 2)
Factor 4*s**3/5 - 144*s**2 - 1452*s/5 - 728/5.
4*(s - 182)*(s + 1)**2/5
Solve -27*s**5 - 828*s**4 + 2949*s**3 - 3714*s**2 + 2028*s - 408 = 0 for s.
-34, 2/3, 1
Determine u, given that 3*u**3/5 - 9*u**2/5 - 3*u/5 + 9/5 = 0.
-1, 1, 3
What is v in -5*v**5 - 25*v**4 + 5*v**3 + 25*v**2 = 0?
-5, -1, 0, 1
Factor 4*h**4 + 19016*h**3 + 30127680*h**2 + 15897359800*h - 15927506500.
4*(h - 1)*(h + 1585)**3
Solve v**2/3 - 3*v + 8/3 = 0.
1, 8
Factor -3*d**5/7 - 39*d**4/7 - 18*d**3.
-3*d**3*(d + 6)*(d + 7)/7
Let -5*y**4 + 6240*y**3 - 1946880*y**2 = 0. Calculate y.
0, 624
Factor -z**2/4 + 27*z - 729.
-(z - 54)**2/4
Factor 2*p**2 + 18*p.
2*p*(p + 9)
Find b such that 15*b**4 - 33*b**3 - 171*b**2 - 183*b - 60 = 0.
-1, -4/5, 5
Determine r, given that -50*r**3/7 - 670*r**2/7 - 2542*r/7 - 1922/7 = 0.
-31/5, -1
Factor -4*v**2/5 - 6856*v/5 - 2937796/5.
-4*(v + 857)**2/5
Solve q**3/3 + 127*q**2/3 + 280*q = 0.
-120, -7, 0
Determine y, given that 3*y**2 + 24*y = 0.
-8, 0
Factor 3*t**2 + 504*t + 21168.
3*(t + 84)**2
Determine h, given that -h**3/6 - 1889*h**2/6 - 3772*h/3 - 3770/3 = 0.
-1885, -2
Suppose 6*h**2/11 - 114*h/11 + 108/11 = 0. What is h?
1, 18
Factor -2*s**4 - 166*s**3 - 1916*s**2 - 6792*s - 5040.
-2*(s + 1)*(s + 6)**2*(s + 70)
Factor 4*l**2 - 28*l - 120.
4*(l - 10)*(l + 3)
Factor 2*b**3 - 90*b**2 + 966*b + 1058.
2*(b - 23)**2*(b + 1)
What is g in 3*g**2 - 15*g + 18 = 0?
2, 3
Factor -4*v**3/7 - 58*v**2/7 - 4*v.
-2*v*(v + 14)*(2*v + 1)/7
Factor -2*w**2 - 34*w - 144.
-2