 + 4*f**2 + 68*f/5 + 64/5.
(f + 2)**2*(f + 16)/5
Solve 14*x**3/5 - 298*x**2/5 + 1456*x/5 - 392/5 = 0.
2/7, 7, 14
Solve z**2 - 4596*z + 5280804 = 0 for z.
2298
Let -2*p**3/9 - 1346*p**2 - 2717574*p - 1828927302 = 0. Calculate p.
-2019
Factor -2*d**2/5 - 188*d/5 - 368/5.
-2*(d + 2)*(d + 92)/5
Factor -3*a**2/7 - 654*a/7 - 35643/7.
-3*(a + 109)**2/7
Find q such that -4*q**2 + 4*q + 624 = 0.
-12, 13
Suppose 2*v**2/11 - 424*v - 4666/11 = 0. Calculate v.
-1, 2333
Factor -3*m**4 + 18*m**3 + 192*m**2 + 288*m.
-3*m*(m - 12)*(m + 2)*(m + 4)
Suppose 3*i**2/4 + 39*i/2 + 207/4 = 0. Calculate i.
-23, -3
Determine r, given that 7*r**5 - 68*r**4 + 155*r**3 + 50*r**2 - 252*r - 72 = 0.
-1, -2/7, 2, 3, 6
Factor 3*l**4/2 + 89*l**3/4 - 11*l**2/2 - 105*l/4.
l*(l + 1)*(l + 15)*(6*l - 7)/4
Determine t so that -9*t**4/5 + 39*t**3/5 - 57*t**2/5 + 33*t/5 - 6/5 = 0.
1/3, 1, 2
Determine c so that -954*c**2 + 1905*c + 6 = 0.
-1/318, 2
Suppose -i**4/2 - i**3 + i + 1/2 = 0. What is i?
-1, 1
What is h in -245*h**5 - 2310*h**4 + 11915*h**3 + 6520*h**2 - 6420*h + 1040 = 0?
-13, -1, 2/7, 4
Solve 2*i**4/13 - 954*i**3/13 + 1900*i**2/13 = 0.
0, 2, 475
Factor -4*b**4/7 - 12*b**3/7 - 8*b**2/7.
-4*b**2*(b + 1)*(b + 2)/7
Suppose -j**4/3 + 10*j**3/3 - 12*j**2 + 18*j - 9 = 0. What is j?
1, 3
Determine w so that 2*w**3/5 + 48*w**2/5 + 234*w/5 - 676/5 = 0.
-13, 2
Factor 4*h**5 - 12*h**4 + 8*h**3.
4*h**3*(h - 2)*(h - 1)
Factor -3*g**5/2 + 9*g**4/2 - 3*g**3.
-3*g**3*(g - 2)*(g - 1)/2
Factor -18*p**2 - 11*p + 7.
-(p + 1)*(18*p - 7)
Solve 8*i**5/5 - 406*i**3/5 + 786*i**2/5 - 484*i/5 + 96/5 = 0.
-8, 1/2, 1, 6
Find q, given that -2*q**4/5 + 26*q**3/5 - 16*q**2 + 72*q/5 = 0.
0, 2, 9
Find p such that -p**2 - 20*p + 3744 = 0.
-72, 52
Factor -v**2/3 + 40*v/3.
-v*(v - 40)/3
Solve 20*r**4/3 - 68*r**3/3 - 52*r**2 - 28*r/3 + 40/3 = 0.
-1, 2/5, 5
Solve -4*q**3 + 76*q**2 + 4*q - 76 = 0.
-1, 1, 19
Determine y so that 3*y**4/5 - 39*y**3/5 + 54*y**2/5 + 96*y + 384/5 = 0.
-2, -1, 8
Suppose -9*b**2 + 210*b - 69 = 0. What is b?
1/3, 23
Factor -p**2/4 - 65*p/2 - 4225/4.
-(p + 65)**2/4
Factor c**2/5 - 636*c/5 + 101124/5.
(c - 318)**2/5
Factor -5*l**2 + 325*l - 320.
-5*(l - 64)*(l - 1)
Factor -12*v**4 + 3*v**3 + 192*v**2 - 48*v.
-3*v*(v - 4)*(v + 4)*(4*v - 1)
Factor -3*b**3 - 69*b**2 - 6*b + 1320.
-3*(b - 4)*(b + 5)*(b + 22)
Factor -2*d**2/19 - 10*d/19.
-2*d*(d + 5)/19
Let -2*n**4/7 + 222*n**3/7 - 654*n**2/7 + 650*n/7 - 216/7 = 0. Calculate n.
1, 108
Factor -20*z**3 - 152*z**2 + 244*z - 72.
-4*(z - 1)*(z + 9)*(5*z - 2)
Factor 5*l**4 + 275*l**3 + 535*l**2 + 265*l.
5*l*(l + 1)**2*(l + 53)
Factor 4*z**3 - 7824*z**2 - 15660*z - 7832.
4*(z - 1958)*(z + 1)**2
Solve -1995*s**2 - 156*s - 12/5 = 0 for s.
-2/35, -2/95
Factor -5*q**3 + 40*q**2 + 60*q - 720.
-5*(q - 6)**2*(q + 4)
Let -2*g**4 - 406*g**3 + 408*g**2 = 0. What is g?
-204, 0, 1
Determine a, given that 2*a**3 + 54*a**2 + 228*a + 176 = 0.
-22, -4, -1
Factor 3*w**2 + 2610*w.
3*w*(w + 870)
Suppose -k**4/6 - 428*k**3/3 - 427*k**2/3 + 428*k/3 + 285/2 = 0. Calculate k.
-855, -1, 1
What is h in 3*h**3/5 + 438*h**2/5 - 447*h/5 - 882/5 = 0?
-147, -1, 2
Factor -27*q**2/4 + 11*q/4 + 4.
-(q - 1)*(27*q + 16)/4
Factor -8*u**3 + 17*u**2 - 10*u + 1.
-(u - 1)**2*(8*u - 1)
Determine t so that -4*t**2 + 592*t - 21904 = 0.
74
Solve -32*p**5/7 + 976*p**4/7 - 3762*p**3/7 + 144*p**2/7 + 8262*p/7 + 4212/7 = 0 for p.
-3/4, 3, 26
Factor 2*a**2/5 - 18*a/5 + 36/5.
2*(a - 6)*(a - 3)/5
Factor -4*k**4 - 8*k**3 + 4*k**2 + 8*k.
-4*k*(k - 1)*(k + 1)*(k + 2)
What is l in -36*l**2/5 + 72*l/5 - 32/5 = 0?
2/3, 4/3
Find f, given that -4*f**2/3 - 26*f/3 - 10 = 0.
-5, -3/2
Factor 2*a**4/9 - 10*a**3/3 - 152*a**2/9.
2*a**2*(a - 19)*(a + 4)/9
Let -2*g**2 - 150*g - 432 = 0. Calculate g.
-72, -3
Find g, given that 2*g**2/5 + 2*g/5 - 8 = 0.
-5, 4
Suppose b**4/2 - 19*b**3/4 + 27*b**2/2 - 8*b - 8 = 0. Calculate b.
-1/2, 2, 4
Determine q so that 28*q**5 - 20*q**4 - 36*q**3 + 20*q**2 + 8*q = 0.
-1, -2/7, 0, 1
Factor -z**3 + 39*z**2 - 399*z + 361.
-(z - 19)**2*(z - 1)
Suppose 2*t**4/11 - 16*t**3/11 - 38*t**2/11 - 20*t/11 = 0. What is t?
-1, 0, 10
Determine o so that -28*o**5 + 120*o**4 + 332*o**3 - 216*o**2 - 304*o + 96 = 0.
-2, -1, 2/7, 1, 6
Solve 2*m**5/15 + 4*m**4/15 - 2*m**3/3 - 4*m**2/5 = 0 for m.
-3, -1, 0, 2
Factor 2*q**4 - 22*q**3 + 48*q**2 + 72*q.
2*q*(q - 6)**2*(q + 1)
Factor -5*u**3 - 175*u**2 - 170*u.
-5*u*(u + 1)*(u + 34)
Factor -3*i**3/5 + 3*i**2 + 3*i/5 - 3.
-3*(i - 5)*(i - 1)*(i + 1)/5
Factor 12*s**4 + 704*s**3/3 + 1300*s**2/3 + 632*s/3.
4*s*(s + 1)**2*(9*s + 158)/3
Suppose 4*h**2 + 128*h + 124 = 0. Calculate h.
-31, -1
Determine g, given that -5*g**3 - 665*g**2 - 650*g + 1320 = 0.
-132, -2, 1
Determine s so that 27*s**4 + 534*s**3 - 741*s**2 - 996*s + 252 = 0.
-21, -1, 2/9, 2
Determine r, given that r**4/10 + 14*r**3/5 - 3*r**2/10 - 41*r/5 + 28/5 = 0.
-28, -2, 1
Factor 2*g**3/9 - 2*g**2/3.
2*g**2*(g - 3)/9
Factor -y**3/6 - 173*y**2 - 1036*y/3.
-y*(y + 2)*(y + 1036)/6
Solve -6*b**3/11 + 20*b**2/11 - 18*b/11 + 4/11 = 0.
1/3, 1, 2
What is p in -2*p**2 - 18*p - 16 = 0?
-8, -1
Solve -12*b**4 + 28*b**3 + 280*b**2 - 96*b = 0.
-4, 0, 1/3, 6
Find d, given that -d**2/2 - d/2 + 3 = 0.
-3, 2
Factor k**5/5 - 14*k**4/5 - 24*k**3/5 + 146*k**2/5 - 169*k/5 + 12.
(k - 15)*(k - 1)**3*(k + 4)/5
Let -3*p**3 + 156*p**2 = 0. What is p?
0, 52
Factor -3*f**3/5 - 18*f**2/5 + 216*f/5.
-3*f*(f - 6)*(f + 12)/5
What is o in 2*o**3/11 + 20*o**2/11 + 56*o/11 + 48/11 = 0?
-6, -2
Suppose 3*w**2/2 + 48*w - 315/2 = 0. Calculate w.
-35, 3
Factor r**5 - 17*r**4 + 68*r**3 - 100*r**2 + 48*r.
r*(r - 12)*(r - 2)**2*(r - 1)
Factor -4*r**3/3 - 35*r**2/3 - 47*r/3 + 14/3.
-(r + 2)*(r + 7)*(4*r - 1)/3
What is q in 21*q**4/5 + 849*q**3/5 - 501*q**2/5 - 369*q/5 = 0?
-41, -3/7, 0, 1
Factor -z**5/2 + 3*z**4/2 + 59*z**3 - 477*z**2 + 2619*z/2 - 2457/2.
-(z - 7)*(z - 3)**3*(z + 13)/2
Factor 3*u**3 - 99*u**2 - 210*u.
3*u*(u - 35)*(u + 2)
What is y in y**3/2 + 13*y**2/2 + 22*y + 16 = 0?
-8, -4, -1
Find m, given that -m**2/6 + 359*m/3 - 128881/6 = 0.
359
Factor a**2 - 916*a + 209764.
(a - 458)**2
Find z, given that -2*z**3/17 + 18*z**2/17 + 32*z/17 - 120/17 = 0.
-3, 2, 10
Solve -2*q**4/11 + 2*q**3 - 76*q**2/11 + 104*q/11 - 48/11 = 0.
1, 2, 6
Factor -4*j**4 - 120*j**3 - 864*j**2 - 2376*j - 2268.
-4*(j + 3)**3*(j + 21)
Find w such that 5*w**5 - 580*w**4 + 1140*w**3 + 10*w**2 - 1145*w + 570 = 0.
-1, 1, 114
Suppose 2*c**4 - 20*c**3 + 30*c**2 + 20*c - 32 = 0. What is c?
-1, 1, 2, 8
Factor -n**4/7 - 2*n**3/7 + 3*n**2/7 + 8*n/7 + 4/7.
-(n - 2)*(n + 1)**2*(n + 2)/7
Factor -2494*k**3/5 - 1148*k**2/5 - 48*k/5.
-2*k*(29*k + 12)*(43*k + 2)/5
Solve b**4/8 + 29*b**3/8 - 225*b**2/8 - 533*b/8 - 35 = 0.
-35, -1, 8
Factor -8*v**3/3 + 10412*v**2/3 - 3395600*v/3 + 1690000.
-4*(v - 650)**2*(2*v - 3)/3
Factor -k**2/7 + 18*k/7 + 40/7.
-(k - 20)*(k + 2)/7
Let 5*m**2 - 30*m - 455 = 0. Calculate m.
-7, 13
Factor -2*t**5/5 - 18*t**4/5 - 6*t**3/5 + 146*t**2/5 - 192*t/5 + 72/5.
-2*(t - 1)**3*(t + 6)**2/5
Find y such that -3*y**5 + 15*y**4 + 102*y**3 + 66*y**2 - 99*y - 81 = 0.
-3, -1, 1, 9
Let d**2/2 + 5*d/2 + 2 = 0. What is d?
-4, -1
Find v such that 3*v**5 + 27*v**4 + 33*v**3 - 243*v**2 - 540*v = 0.
-5, -4, -3, 0, 3
Factor h**2/6 + 622*h/3 + 193442/3.
(h + 622)**2/6
Suppose x**2/5 + 609*x/5 = 0. Calculate x.
-609, 0
Factor -4*r**3 + 296*r**2 - 5476*r.
-4*r*(r - 37)**2
Determine b, given that 18*b**5 - 606*b**4 + 2558*b**3 - 3594*b**2 + 1632*b - 232 = 0.
1/3, 2, 29
Suppose -r**4/4 - 17*r**3/4 - 85*r**2/4 - 159*r/4 - 45/2 = 0. What is r?
-10, -3, -1
Let -2*p**4/17 + 42*p**3/17 - 220*p**2/17 + 336*p/17 = 0. Calculate p.
0, 3, 4, 14
Factor -z**2 + 11*z - 24.
-(z - 8)*(z - 3)
Factor -3*t**2/7 - 41868*t/7 - 146077452/7.
-3*(t + 6978)**2/7
Determine a so that a**5/4 + 9*a**4/2 + 39*a**3/2 - 14*a**2 - 279*a/4 - 81/2 = 0.
-9, -1, 2
Factor y**4/5 - 141*y**3/5 + 4593*y**2/5 + 27521*y/5 - 31974/5.
(y - 73)**2*(y - 1)*(y + 6)/5
Factor -44*t**2 - 96*t - 16.
-4*(t + 2)*(11*t + 2)
Determine g so that -2*g**4/9 - 2*g**3 + 8*g**2 - 8*g/9 - 32/3 = 0.
-12, -1, 2
Factor 2*o**2 - 132*o + 2178.
2*(o - 33)**2
Factor -k**2/4 - 17*k/2 + 495/4.
-(k - 11)*(k + 45)/4
Factor -d**3/2 - 118*d**2 - 469*d/2 - 117.
-(d + 1)**2*(d + 234)/2
What is q in -q**4 - 12*q**3 - 27*q**2 = 0?
-9, -3, 0
Factor 4*y**5 - 40*y*