- 6*f**3 - 2*f**2 + 6*f.
2*f*(f - 3)*(f - 1)*(f + 1)
Find l such that -l**3/5 + l**2 + 33*l/5 + 27/5 = 0.
-3, -1, 9
Factor -b**3/5 + 128*b**2/5 - 100*b + 496/5.
-(b - 124)*(b - 2)**2/5
Find z such that -5*z**4/3 + 10*z**3 + 45*z**2 = 0.
-3, 0, 9
Find a such that 4*a**2 + 708*a - 4392 = 0.
-183, 6
Factor g**3/5 - 2*g**2/5 - 4*g/5 + 8/5.
(g - 2)**2*(g + 2)/5
Suppose -o**4 + 26*o**3 - 69*o**2 = 0. Calculate o.
0, 3, 23
Factor z**2/4 + 143*z/2 + 142.
(z + 2)*(z + 284)/4
Factor -d**2/4 - 13*d/4 - 10.
-(d + 5)*(d + 8)/4
Suppose w**4/5 - 114*w**3/5 + 3861*w**2/5 - 34884*w/5 + 93636/5 = 0. What is w?
6, 51
Suppose -4*r**5/5 + 8*r**4 + 264*r**3/5 + 512*r**2/5 + 412*r/5 + 24 = 0. What is r?
-2, -1, 15
Factor 3*f**5/4 + 1809*f**4 + 1454436*f**3 + 389788848*f**2.
3*f**2*(f + 804)**3/4
Determine y, given that 5*y**2 + 680*y + 23120 = 0.
-68
Determine c so that c**4/4 - 3*c**3/2 + 9*c**2/4 = 0.
0, 3
Factor -3*k**4/5 + 1212*k**3/5 - 3618*k**2/5 + 3612*k/5 - 1203/5.
-3*(k - 401)*(k - 1)**3/5
Factor 2*k**2/11 - 26*k/11 - 96/11.
2*(k - 16)*(k + 3)/11
Suppose 3*k**4 + 339*k**3 + 5085*k**2 - 274767*k + 269340 = 0. Calculate k.
-67, 1, 20
Solve -5*k**3 + 15*k + 10 = 0 for k.
-1, 2
Solve 2*p**2/7 + 1888*p/7 + 445568/7 = 0 for p.
-472
Suppose t**2/4 + t/4 - 1/2 = 0. Calculate t.
-2, 1
Let -3*c**2/2 + 3*c + 9/2 = 0. Calculate c.
-1, 3
Determine h so that -21*h**3 - 127*h**2 - 6*h = 0.
-6, -1/21, 0
Let 2*v**4/7 - 78*v**3/7 + 856*v**2/7 - 1656*v/7 - 2592/7 = 0. What is v?
-1, 4, 18
Solve -5*c**3 + 20*c**2 + 145*c + 120 = 0.
-3, -1, 8
Find k, given that -72*k**5 + 1272*k**4 + 1942*k**3 - 2196*k**2 - 870*k - 76 = 0.
-2, -1/6, 1, 19
Let -14*i**5/3 + 100*i**4 - 602*i**3 + 2120*i**2/3 - 200*i = 0. Calculate i.
0, 3/7, 1, 10
Factor 2*x**2/11 - 36*x/11 + 34/11.
2*(x - 17)*(x - 1)/11
Solve -3*h**3/5 + 21*h**2/5 - 6*h/5 - 24 = 0.
-2, 4, 5
Factor 3*p**3/2 + 21441*p**2/2 + 38320425*p/2 + 38298987/2.
3*(p + 1)*(p + 3573)**2/2
Factor -2*w**2 + 2020*w - 510050.
-2*(w - 505)**2
What is t in 3*t**3 + 1623*t**2 - 1626*t = 0?
-542, 0, 1
Find z such that 2*z**5 - 10*z**4 + 20*z**3 - 20*z**2 + 10*z - 2 = 0.
1
Determine y so that -2*y**5 + 10*y**4 - 14*y**3 - 2*y**2 + 16*y - 8 = 0.
-1, 1, 2
What is q in 3*q**4 - 4554*q**3 = 0?
0, 1518
Factor -4*s**2 - 10792*s - 10788.
-4*(s + 1)*(s + 2697)
Factor 4*u**2/9 - 172*u/9 - 176/9.
4*(u - 44)*(u + 1)/9
Solve 5*u**2 - 210*u + 2205 = 0 for u.
21
Solve -2*c**4/7 + 16*c**3 - 324*c**2/7 + 320*c/7 - 106/7 = 0 for c.
1, 53
Solve -57*r**5 + 6*r**4 + 171*r**3 + 96*r**2 - 12*r = 0 for r.
-1, 0, 2/19, 2
Let -4*b**2 - 344*b + 2604 = 0. Calculate b.
-93, 7
Factor 12*y**3 - 64*y**2 - 132*y - 56.
4*(y - 7)*(y + 1)*(3*y + 2)
Solve 6*g**2 - 188*g + 62 = 0 for g.
1/3, 31
Factor -f**2/4 - 27*f/2 + 28.
-(f - 2)*(f + 56)/4
Find q, given that -28*q**5 - 736*q**4 - 208*q**3 = 0.
-26, -2/7, 0
Factor 4*g**3 - 12*g**2 + 8*g.
4*g*(g - 2)*(g - 1)
Let -c**4/4 + 7*c**3/4 + 25*c**2/4 - 67*c/4 + 9 = 0. What is c?
-4, 1, 9
Factor -2*o**2/5 - 554*o/5 - 552/5.
-2*(o + 1)*(o + 276)/5
Find a such that 12*a**2 + 88*a - 1120 = 0.
-14, 20/3
Factor 5*x**2 + 495*x + 490.
5*(x + 1)*(x + 98)
Factor -3*f**5/5 + 1662*f**4/5 - 223443*f**3/5 - 1868088*f**2/5 - 3790128*f/5.
-3*f*(f - 281)**2*(f + 4)**2/5
Factor 2*m**3/3 - 340*m**2/3 - 114*m.
2*m*(m - 171)*(m + 1)/3
Suppose r**3/5 - r**2 + 8*r/5 - 4/5 = 0. What is r?
1, 2
Suppose i**2 - 519*i + 3078 = 0. Calculate i.
6, 513
Factor -3*s**4 - 147*s**3 + 351*s**2 + 2295*s.
-3*s*(s - 5)*(s + 3)*(s + 51)
Determine a, given that -3*a**2 + 93*a = 0.
0, 31
Determine q, given that -25*q**3/2 + 35*q**2/2 - 11*q/2 + 1/2 = 0.
1/5, 1
Factor w**2/5 + 4*w + 96/5.
(w + 8)*(w + 12)/5
Factor z**3 - 9*z**2 - 30*z + 88.
(z - 11)*(z - 2)*(z + 4)
Factor 20*n**2 - 132272*n - 52912.
4*(n - 6614)*(5*n + 2)
What is v in 5*v**4 + 275*v**3 - 280*v**2 = 0?
-56, 0, 1
Factor 2*v**2/7 - 2*v - 60/7.
2*(v - 10)*(v + 3)/7
Factor -2556*o**3 - 10216*o**2 + 12812*o - 40.
-4*(o - 1)*(o + 5)*(639*o - 2)
Let 4*t**4 - 92*t**3 + 492*t**2 + 1276*t - 9680 = 0. Calculate t.
-4, 5, 11
Find o, given that 3*o**3 - 1578*o**2 + 205920*o + 418176 = 0.
-2, 264
Determine k so that -k**3/4 + 669*k**2/4 + k/4 - 669/4 = 0.
-1, 1, 669
Factor 2*r**2 + 36*r - 288.
2*(r - 6)*(r + 24)
Factor 2*o**2 - 1788*o + 399618.
2*(o - 447)**2
Factor -18*n**4 - 69*n**3 + 12*n**2.
-3*n**2*(n + 4)*(6*n - 1)
Factor -d**2/6 + 4*d/3 + 11/2.
-(d - 11)*(d + 3)/6
Solve 4*s**5/9 + 14*s**4/9 + 2*s**3/9 - 14*s**2/9 - 2*s/3 = 0 for s.
-3, -1, -1/2, 0, 1
Solve 2*t**2/9 + 494*t/9 + 488/3 = 0.
-244, -3
Let 4*j**5 + 52*j**4 + 44*j**3 - 52*j**2 - 48*j = 0. Calculate j.
-12, -1, 0, 1
Find k, given that 5*k**4 + 430*k**3 + 1240*k**2 - 430*k - 1245 = 0.
-83, -3, -1, 1
Suppose 4*v**3 + 1048*v**2 + 60720*v - 1066464 = 0. What is v?
-138, 14
Factor 35*w**3/3 + 115*w**2 + 170*w - 80/3.
5*(w + 2)*(w + 8)*(7*w - 1)/3
Determine u, given that -u**2/7 + 83*u/7 = 0.
0, 83
Let 2*w**4 + 228*w**3 - 2160*w**2 + 6588*w - 6642 = 0. Calculate w.
-123, 3
Factor -2*f**2 - 370*f + 372.
-2*(f - 1)*(f + 186)
Factor 2*a**2/7 + 228*a/7 + 214.
2*(a + 7)*(a + 107)/7
Find z, given that 2*z**2/5 - 306*z/5 = 0.
0, 153
Factor l**2/4 + 4113*l/2 + 16916769/4.
(l + 4113)**2/4
Determine u so that -2*u**2/7 + 624*u/7 - 5454/7 = 0.
9, 303
Suppose r**2/8 - 3*r/8 + 1/4 = 0. Calculate r.
1, 2
What is a in -36*a**5/13 - 30*a**4/13 + 32*a**3/13 + 12*a**2/13 - 12*a/13 + 2/13 = 0?
-1, 1/3, 1/2
Let -t**5/5 - 3*t**4/5 + 4*t**2/5 = 0. Calculate t.
-2, 0, 1
Factor -2*m**2/23 - 3124*m/23 - 1219922/23.
-2*(m + 781)**2/23
Factor 3*r**3 + 2100*r**2 - 6327*r.
3*r*(r - 3)*(r + 703)
Find m, given that m**2/8 + 5*m/8 + 3/4 = 0.
-3, -2
What is c in 2*c**5 - 6*c**4 + 2*c**3 + 6*c**2 - 4*c = 0?
-1, 0, 1, 2
Determine k, given that 3*k**2/7 + 471*k + 3294/7 = 0.
-1098, -1
Factor 4*n**2/5 + 3944*n + 4860980.
4*(n + 2465)**2/5
Solve 18392*h**2 + 88*h + 2/19 = 0.
-1/418
Factor -q**4/6 + 13*q**3/6 - 8*q**2 + 6*q.
-q*(q - 6)**2*(q - 1)/6
Solve 34*a**3 - 402*a**2 + 302*a + 66 = 0 for a.
-3/17, 1, 11
Factor -l**3/2 + 41*l**2/2 + l/2 - 41/2.
-(l - 41)*(l - 1)*(l + 1)/2
Factor 4*i**3 + 2656*i**2 + 430080*i - 3612672.
4*(i - 8)*(i + 336)**2
Factor -2*d**2/5 - 988*d/5 - 6818/5.
-2*(d + 7)*(d + 487)/5
Find g, given that 4*g**4 - 12*g**3 - 4*g**2 + 12*g = 0.
-1, 0, 1, 3
Find t, given that 2*t**3 - 162*t**2 + 918*t - 1350 = 0.
3, 75
Let -15*a**3/4 - 1009*a**2/4 - 66*a + 67 = 0. Calculate a.
-67, -2/3, 2/5
Find o such that 3*o**5/2 - 165*o**4 + 5820*o**3 - 57000*o**2 - 303240*o - 329232 = 0.
-2, 38
Factor -2*m**4/7 + 38*m**3/7 - 180*m**2/7 + 328*m/7 - 208/7.
-2*(m - 13)*(m - 2)**3/7
Factor -3*k**3 + 96*k**2/5 - 111*k/5 + 6.
-3*(k - 5)*(k - 1)*(5*k - 2)/5
Find u such that 5*u**4/2 - 135*u**3/2 + 595*u**2/2 + 735*u/2 = 0.
-1, 0, 7, 21
What is t in 3*t**5 - 96*t**3 + 768*t = 0?
-4, 0, 4
Let -a**5/4 - 13*a**4/4 - 27*a**3/2 - 47*a**2/2 - 73*a/4 - 21/4 = 0. What is a?
-7, -3, -1
Factor -4*a**4 - 148*a**3 + 1188*a**2 - 1916*a + 880.
-4*(a - 5)*(a - 1)**2*(a + 44)
Factor b**2 + 10*b.
b*(b + 10)
Factor -3*f**2/2 + 213*f/2 + 108.
-3*(f - 72)*(f + 1)/2
Factor c**4/6 - 14*c**3/3 - 62*c**2/3 - 64*c/3.
c*(c - 32)*(c + 2)**2/6
Factor -35*h**2/3 + 32*h/3 + 1.
-(h - 1)*(35*h + 3)/3
Factor 2*i**2/9 - 272*i/3 + 9248.
2*(i - 204)**2/9
Let -k**2 - 117*k - 230 = 0. What is k?
-115, -2
Factor 2*n**2/7 + 12*n - 86/7.
2*(n - 1)*(n + 43)/7
Determine t so that 16*t**2 + 60748*t - 15188 = 0.
-3797, 1/4
Find v, given that 6*v**3/7 + 22*v**2 - 8*v - 104/7 = 0.
-26, -2/3, 1
Solve f**2/6 - 21*f = 0.
0, 126
What is r in -2*r**5/3 + 2*r**4 - 5*r**3/6 - 4*r**2/3 + r/2 + 1/3 = 0?
-1/2, 1, 2
Factor 4*g**5 + 856*g**4 + 46644*g**3 + 90736*g**2 + 44944*g.
4*g*(g + 1)**2*(g + 106)**2
Factor 3*r**2 - 45*r - 48.
3*(r - 16)*(r + 1)
Factor 3*s**2 + 8472*s + 8469.
3*(s + 1)*(s + 2823)
Find l, given that -2*l**2/5 - 264*l/5 - 8712/5 = 0.
-66
Factor -14*m**2/9 + 18430*m/3 - 15796/9.
-2*(m - 3949)*(7*m - 2)/9
Solve -5*f**4 + 215*f**3 - 765*f**2 - 675*f + 3510 = 0.
-2, 3, 39
Factor -2*t**3/5 + 682*t**2/5 + 2*t/5 - 682/5.
-2*(t - 341)*(t - 1)*(t + 1)/5
Suppose -2*t**3/7 + 10*t**2 + 76*t/7 - 144/7 = 0. Calculate t.
-2, 1, 36
Factor -10*v**2 - 9025*v + 4515.
-5*(v + 903)*(2*v - 1)
Factor 2*u**4 - 38*u**3/3 + 22*u**2 - 6*u.
2*u*(u - 3)**2*(3*u - 1)/3
Find f, g