/2 + 485*m - 235225/2.
-(m - 485)**2/2
Factor 36*c**5/5 - 20*c**4 + 84*c**3/5 - 12*c**2/5 - 8*c/5.
4*c*(c - 1)**3*(9*c + 2)/5
Let -2*w**3 - 38*w**2 - 36*w = 0. Calculate w.
-18, -1, 0
Factor -o**5 + 6*o**4 - 8*o**3 - 2*o**2 + 9*o - 4.
-(o - 4)*(o - 1)**3*(o + 1)
Suppose -2*s**4/13 + 44*s**3/13 + 218*s**2/13 - 20*s = 0. What is s?
-5, 0, 1, 26
Factor -5*b**4 + 330*b**3 - 4745*b**2 - 23100*b - 24500.
-5*(b - 35)**2*(b + 2)**2
Factor m**4/4 - m**3/2 - 7*m**2/4 - m.
m*(m - 4)*(m + 1)**2/4
Factor 2*g**3/11 - 12*g**2/11 + 18*g/11.
2*g*(g - 3)**2/11
Solve -2*g**5 + 6*g**4 + 6*g**3 - 14*g**2 - 12*g = 0 for g.
-1, 0, 2, 3
Find b, given that -b**3/6 + 67*b**2/6 + 203*b/2 - 225/2 = 0.
-9, 1, 75
Factor -12*l**2 + 16*l.
-4*l*(3*l - 4)
Factor -2*n**2 - 24*n + 90.
-2*(n - 3)*(n + 15)
Factor d**3/5 + 4*d**2/5 + d + 2/5.
(d + 1)**2*(d + 2)/5
Suppose 4*q**5 - 370*q**4 + 906*q**3 - 538*q**2 - 182*q + 180 = 0. What is q?
-1/2, 1, 90
Factor 3*r**2 + 240*r - 492.
3*(r - 2)*(r + 82)
Suppose 867*t**2/4 - 510*t + 300 = 0. Calculate t.
20/17
Factor -3*p**2 - 18*p.
-3*p*(p + 6)
Let 6*f**3/7 + 3618*f**2/7 - 6*f/7 - 3618/7 = 0. Calculate f.
-603, -1, 1
Factor h**4/5 - 38*h**3/5 - 408*h**2/5 - 698*h/5 - 329/5.
(h - 47)*(h + 1)**2*(h + 7)/5
Factor -h**3/5 - 101*h**2/5 + 41*h - 103/5.
-(h - 1)**2*(h + 103)/5
Find h such that h**4 + 7*h**3 + 11*h**2 + 5*h = 0.
-5, -1, 0
Factor 3*g**2 - 93*g.
3*g*(g - 31)
What is b in -2*b**2/9 + 6640*b/9 - 5511200/9 = 0?
1660
Suppose 27*w**5 + 60*w**4 - 312*w**3 - 288*w**2 + 816*w + 192 = 0. What is w?
-4, -2, -2/9, 2
Find p, given that p**3 + 13*p**2 - 52*p - 64 = 0.
-16, -1, 4
Factor -2*x**2 + 112*x.
-2*x*(x - 56)
Suppose -3*w**4 - 87*w**3 - 672*w**2 - 588*w = 0. Calculate w.
-14, -1, 0
Factor -a**4/4 - 18*a**3 - 851*a**2/2 - 3654*a - 41209/4.
-(a + 7)**2*(a + 29)**2/4
Suppose -2*s**4 + 14*s**2 - 12*s = 0. What is s?
-3, 0, 1, 2
Suppose j**3/8 - 3*j**2/8 + 3*j/8 - 1/8 = 0. Calculate j.
1
Determine p so that 4*p**4/3 + 68*p**3/3 + 20*p**2 - 68*p/3 - 64/3 = 0.
-16, -1, 1
Factor -2*s**4 - 64*s**3 - 502*s**2 - 440*s.
-2*s*(s + 1)*(s + 11)*(s + 20)
Let -4*q**5 - 11*q**4/3 + 11*q**3/3 + 7*q**2/3 - q = 0. What is q?
-1, 0, 1/3, 3/4
Factor 5*h**3/3 - 185*h**2/3 + 310*h/3 + 1400/3.
5*(h - 35)*(h - 4)*(h + 2)/3
Determine v, given that -12*v**2 + 196*v = 0.
0, 49/3
Factor -w**3/6 + 16*w**2/3.
-w**2*(w - 32)/6
Solve s**2/4 - 7*s/4 - 2 = 0.
-1, 8
Let -2*h**2/11 + 392*h/11 - 19208/11 = 0. Calculate h.
98
Factor -2*s**4/5 - 66*s**3/5.
-2*s**3*(s + 33)/5
Let -4*h**4 - 312*h**3 + 316*h**2 = 0. Calculate h.
-79, 0, 1
Factor -w**3/4 - 3927*w**2/4 - 3857295*w/4 - 3853369/4.
-(w + 1)*(w + 1963)**2/4
Determine o, given that -4*o**3/7 - 432*o**2/7 - 1616*o/7 + 4992/7 = 0.
-104, -6, 2
Factor 5*a**2 - 30*a + 40.
5*(a - 4)*(a - 2)
Find i, given that i**5/3 + 22*i**4/3 - 145*i**3 - 932*i**2/3 - 476*i/3 = 0.
-34, -1, 0, 14
Factor -s**4 + 2*s**3 - 5*s**2/4 + s/4.
-s*(s - 1)*(2*s - 1)**2/4
Factor -2*b**2 - 812*b - 82418.
-2*(b + 203)**2
Factor -4*q**3/3 + 392*q**2/3 + 3328*q/3 + 6784/3.
-4*(q - 106)*(q + 4)**2/3
Factor -4*b**2 - 28*b + 32.
-4*(b - 1)*(b + 8)
Determine a, given that -2*a**3 + 170*a**2 + 346*a + 174 = 0.
-1, 87
Let -20*k**5 + 348*k**4 - 436*k**3 - 220*k**2 + 456*k - 128 = 0. What is k?
-1, 2/5, 1, 16
Factor k**5/4 - 5*k**4/4 + k**3 + 4*k**2 - 8*k + 4.
(k - 2)**3*(k - 1)*(k + 2)/4
Factor -5*p**3/2 + 85*p**2/6 - 25*p/3.
-5*p*(p - 5)*(3*p - 2)/6
Factor 5*v**3 + 985*v**2 + 1955*v + 975.
5*(v + 1)**2*(v + 195)
Factor 1156*r**5 - 4284*r**4 + 6060*r**3 - 4036*r**2 + 1248*r - 144.
4*(r - 1)**3*(17*r - 6)**2
Solve 4*a**3/5 + 44*a**2/5 + 32*a + 192/5 = 0.
-4, -3
Suppose -7*l**5/2 - 29*l**4 + 27*l**3 + 38*l**2 - 47*l/2 - 9 = 0. What is l?
-9, -1, -2/7, 1
Factor 3*h**2 + 114*h - 504.
3*(h - 4)*(h + 42)
Solve -u**4/2 + 3*u**2/2 + u = 0 for u.
-1, 0, 2
Factor -4*q**4 - 32*q**3 - 64*q**2.
-4*q**2*(q + 4)**2
Factor t**3 - 44*t**2 + 485*t - 442.
(t - 26)*(t - 17)*(t - 1)
Factor -4*c**3 + 64*c**2 + 496*c + 704.
-4*(c - 22)*(c + 2)*(c + 4)
Factor 9*j**2/2 + 65*j/2 + 7.
(j + 7)*(9*j + 2)/2
Factor -4*z**3/9 - 56*z**2/9 + 676*z/9 - 616/9.
-4*(z - 7)*(z - 1)*(z + 22)/9
Let -2*a**3/9 - 4*a**2/9 + 2*a/3 = 0. Calculate a.
-3, 0, 1
Suppose 5*g**5 + 23*g**4/5 - 352*g**3/5 - 572*g**2/5 + 48*g/5 = 0. Calculate g.
-3, -2, 0, 2/25, 4
Solve 3*a**3/8 + 264*a**2 + 1053*a/2 = 0.
-702, -2, 0
Suppose b**3/8 - 87*b**2/8 - 181*b/8 + 267/8 = 0. Calculate b.
-3, 1, 89
Suppose -a**3/4 - 19*a**2/4 - 28*a - 48 = 0. Calculate a.
-8, -3
Suppose 2*l**2/3 + 136*l + 406/3 = 0. Calculate l.
-203, -1
Suppose 2*o**5/7 - 38*o**4/7 + 114*o**3/7 + 110*o**2/7 - 284*o/7 - 240/7 = 0. What is o?
-1, 2, 4, 15
Suppose -h**5/2 + 123*h**4/2 - 4079*h**3/2 + 18353*h**2/2 - 14160*h + 6962 = 0. Calculate h.
1, 2, 59
What is i in 4*i**4/3 + 64*i**3/3 - 164*i**2 + 264*i = 0?
-22, 0, 3
Suppose 484*x**4 + 1408*x**3 - 2067*x**2 + 179*x - 4 = 0. What is x?
-4, 1/22, 1
Suppose 5*q**5/2 - 65*q**4/2 + 95*q**3/2 + 725*q**2/2 + 440*q + 160 = 0. Calculate q.
-1, 8
Factor w**3 + w**2 - 4*w - 4.
(w - 2)*(w + 1)*(w + 2)
Suppose -4*c**5/5 + 168*c**3/5 + 256*c**2/5 - 84*c = 0. What is c?
-5, -3, 0, 1, 7
Solve z**2/7 + 32*z/7 - 33/7 = 0.
-33, 1
Let -d**3/2 + 4*d**2 - 19*d/2 + 6 = 0. Calculate d.
1, 3, 4
Determine g, given that -6*g**4/5 + 69*g**3/5 + 126*g**2/5 - 111*g/5 - 78/5 = 0.
-2, -1/2, 1, 13
Find y, given that 50*y**5/9 - 350*y**4/9 + 164*y**3/3 + 56*y**2/9 - 80*y/9 = 0.
-2/5, 0, 2/5, 2, 5
Factor -3*m**4 - 75*m**3 + 81*m**2 + 75*m - 78.
-3*(m - 1)**2*(m + 1)*(m + 26)
Factor -2*t**4 + 50*t**3 - 282*t**2 - 442*t + 676.
-2*(t - 13)**2*(t - 1)*(t + 2)
Let -2*x**2/5 + 172*x/5 = 0. What is x?
0, 86
Factor -4*i**4 + 20*i**3 + 224*i**2 - 240*i.
-4*i*(i - 10)*(i - 1)*(i + 6)
Let r**5/8 + r**4/4 - 3*r**3/4 - 5*r**2/2 - 19*r/8 - 3/4 = 0. Calculate r.
-2, -1, 3
Find l such that -9*l**5 - 204*l**4 - 1320*l**3 - 306*l**2 + 15633*l + 10206 = 0.
-9, -7, -2/3, 3
Solve 2*u**3/11 - 12*u**2/11 - 194*u/11 - 420/11 = 0.
-5, -3, 14
What is r in -r**2/3 - 4*r/3 - 4/3 = 0?
-2
Factor o**2/2 - 4*o - 9/2.
(o - 9)*(o + 1)/2
Solve 28*a**5 + 148*a**4 + 236*a**3 + 140*a**2 + 24*a = 0 for a.
-3, -1, -2/7, 0
Factor 3*i**2 - 105*i - 108.
3*(i - 36)*(i + 1)
Factor -51*m**3/5 - 21*m**2 - 6*m/5.
-3*m*(m + 2)*(17*m + 1)/5
Let 5*q**2 - 155*q = 0. Calculate q.
0, 31
Find g such that -g**4/4 - 171*g**3/2 - 28897*g**2/4 + 14706*g - 7396 = 0.
-172, 1
Solve f**5/6 - 42*f**4 + 250*f**3/3 + f**2/3 - 167*f/2 + 125/3 = 0 for f.
-1, 1, 250
Suppose -7*c**4/6 - 235*c**3/2 - 397*c**2/2 - 295*c/6 + 33 = 0. What is c?
-99, -1, 2/7
Suppose -3*l**3 + 6075*l**2 - 4100625*l + 922640625 = 0. What is l?
675
Factor 4*p**2 + 3376*p + 3372.
4*(p + 1)*(p + 843)
Factor 2*o**2/11 + 14*o/11 + 24/11.
2*(o + 3)*(o + 4)/11
Suppose 5*h**5 - 55*h**4 + 25*h**3 + 535*h**2 + 450*h = 0. What is h?
-2, -1, 0, 5, 9
What is v in -25*v**3 + 1645*v**2 + 2005*v + 335 = 0?
-1, -1/5, 67
Factor 4*w**3 - 124*w**2 + 984*w - 864.
4*(w - 18)*(w - 12)*(w - 1)
Let 4*c**4 + 48*c**3 - 20*c**2 - 1344*c - 1280 = 0. What is c?
-8, -1, 5
Find j, given that -98*j**4/11 + 42*j**3/11 + 48*j**2/11 + 8*j/11 = 0.
-2/7, 0, 1
Suppose -2*q**4/5 + 2*q**3/5 + 216*q**2/5 + 224*q + 1664/5 = 0. Calculate q.
-4, 13
Find l such that 3*l**2 - 1074*l + 96123 = 0.
179
Let -6*r**4/11 - 18*r**3/11 + 24*r**2/11 + 72*r/11 = 0. What is r?
-3, -2, 0, 2
Solve -5*d**3 - 1295*d**2 + 24525*d - 112185 = 0.
-277, 9
Let i**5 - 4*i**4 - 23*i**3 + 54*i**2 + 72*i = 0. What is i?
-4, -1, 0, 3, 6
Factor -4*x**4 + 36*x**3 + 16*x**2 - 624*x + 576.
-4*(x - 6)**2*(x - 1)*(x + 4)
Factor -d**4/6 - d**3/6 + d**2/2 + 5*d/6 + 1/3.
-(d - 2)*(d + 1)**3/6
Factor y**4/6 + 167*y**3/2 - y**2/6 - 167*y/2.
y*(y - 1)*(y + 1)*(y + 501)/6
Factor 5*t**4 + 130*t**3 + 745*t**2 + 1580*t + 1140.
5*(t + 2)**2*(t + 3)*(t + 19)
Solve 4169764*k**2 - 40840*k + 100 = 0 for k.
5/1021
What is c in 198*c**4 - 519*c**3 - 969*c**2 - 474*c - 72 = 0?
-6/11, -1/2, -1/3, 4
Let 3*l**5/7 - 1905*l**4/7 + 297609*l**3/7 + 1530213*l**2/7 + 938880*l/7 - 2764800/7 = 0. What is l?
-3, 1, 320
Find t such that -4*t**5 + 260*t**4 + 812*t**3 + 284*t**2 - 808*t - 544 = 0.
-2, -1, 1, 68
Suppose 12*g**3 + 228*g**2 + 75*g - 11250 = 0. What is g?
-25/2, 6
Factor -h**3 - 122*h**2 - 2591*h - 2470.
-(h + 1)*(h + 26)*(h 