 - 11*x**3/2 - x**2/2 + 11*x/2.
x*(x - 11)*(x - 1)*(x + 1)/2
Suppose -4*x**4/3 - 400*x**3 - 30396*x**2 - 177608*x/3 = 0. What is x?
-149, -2, 0
Factor 3*p**5/4 - 9*p**4/4 + 3*p**3/2.
3*p**3*(p - 2)*(p - 1)/4
Suppose -2*t**3 - 32*t**2 + 38*t + 68 = 0. What is t?
-17, -1, 2
Factor 729*v**3 + 2133*v**2 - 161*v + 3.
(v + 3)*(27*v - 1)**2
Factor -y**3 - 5*y**2 + 8*y + 12.
-(y - 2)*(y + 1)*(y + 6)
Find t such that t**3/2 + 5*t**2/4 - 9*t/4 - 9/2 = 0.
-3, -3/2, 2
Find d such that 2*d**3 - 20*d**2 = 0.
0, 10
Find c such that 4*c**3/5 - 92*c**2/5 - 4*c/5 + 92/5 = 0.
-1, 1, 23
Factor -4*i**2/7 + 40*i/7 + 156/7.
-4*(i - 13)*(i + 3)/7
Find z such that 3*z**4/8 - 57*z**3/8 - 1449*z**2/8 - 7791*z/8 - 5145/4 = 0.
-7, -2, 35
Find u such that -u**3/3 + 58*u**2/3 - 55*u/3 - 38 = 0.
-1, 2, 57
Suppose -d**5 - 4*d**4 + 59*d**3 + 126*d**2 = 0. What is d?
-9, -2, 0, 7
Factor 2*b**3/3 - 52*b**2/3 - 58*b/3 + 36.
2*(b - 27)*(b - 1)*(b + 2)/3
Factor -5*w**2.
-5*w**2
Solve 16*j**4/5 + 6*j**3 - 4*j**2 - 6*j + 4/5 = 0 for j.
-2, -1, 1/8, 1
Factor -n**3/3 - 17*n**2 + 16*n/3 + 272.
-(n - 4)*(n + 4)*(n + 51)/3
Suppose 6*z**5/11 + 10*z**4/11 + 4*z**3/11 = 0. Calculate z.
-1, -2/3, 0
Suppose -188*s**2 + 1664*s + 252 = 0. What is s?
-7/47, 9
Suppose -9*w**5/2 - 147*w**4/2 - 87*w**3 + 51*w**2 + 183*w/2 + 45/2 = 0. Calculate w.
-15, -1, -1/3, 1
Factor 2*t**2/11 - 120*t/11 + 118/11.
2*(t - 59)*(t - 1)/11
Factor -5*s**2 + 80.
-5*(s - 4)*(s + 4)
Factor -3*o**3 + 297*o**2 - 276*o - 1764.
-3*(o - 98)*(o - 3)*(o + 2)
What is u in 4*u**3/7 + 4*u**2 + 64*u/7 + 48/7 = 0?
-3, -2
Factor 2*b**4/3 - 4*b**3/3 - 2*b**2 + 16*b/3 - 8/3.
2*(b - 2)*(b - 1)**2*(b + 2)/3
Factor 4*h**2/7 - 200*h/7 + 28.
4*(h - 49)*(h - 1)/7
Let -g**2/7 - 544*g/7 - 543/7 = 0. Calculate g.
-543, -1
Factor -s**3 - 94*s**2.
-s**2*(s + 94)
Solve 5*p**2 - 5 = 0.
-1, 1
Factor -3*g**3/4 + 1053*g**2 - 492804*g + 76877424.
-3*(g - 468)**3/4
Factor -w**4 - 16*w**3 - 39*w**2 + 4*w + 52.
-(w - 1)*(w + 2)**2*(w + 13)
Factor -d**2 - 11*d - 24.
-(d + 3)*(d + 8)
Let -5*u**4 + 1370*u**3 + 8340*u**2 + 16760*u + 11200 = 0. What is u?
-2, 280
Determine f, given that f**4/2 - 39*f**3/2 + 147*f**2 - 368*f + 240 = 0.
1, 4, 30
Let 3*k**4/7 + 39*k**3/7 + 180*k**2/7 + 348*k/7 + 240/7 = 0. What is k?
-5, -4, -2
Solve -2*j**2/7 + 1562*j/7 = 0 for j.
0, 781
Factor -u**5 - 16*u**4 - 42*u**3 - 40*u**2 - 13*u.
-u*(u + 1)**3*(u + 13)
Suppose h**4/7 + 50*h**3/7 + 569*h**2/7 - 1292*h/7 + 96 = 0. Calculate h.
-28, -24, 1
Solve 1029*q**4/5 - 46746*q**3 + 99540*q**2 - 70950*q + 16875 = 0 for q.
5/7, 225
Find f, given that 3*f**5 - 39*f**4 = 0.
0, 13
Factor -2*o**4/3 + o**3/3 + o**2/3.
-o**2*(o - 1)*(2*o + 1)/3
Suppose -45*l**3 - 26355*l**2 + 35200*l - 11740 = 0. Calculate l.
-587, 2/3
Find d such that 2*d**2/7 - 6896*d/7 + 5944352/7 = 0.
1724
Factor 2*p**4/15 - 16*p**3/15 + 8*p**2/3 - 32*p/15.
2*p*(p - 4)*(p - 2)**2/15
Solve 20*i**4/3 + 15*i**3 + 10*i**2 + 5*i/3 = 0.
-1, -1/4, 0
Suppose -4*g**3 - 4316*g**2 + 4320*g = 0. What is g?
-1080, 0, 1
Suppose y**3 - 202*y**2 + 597*y = 0. Calculate y.
0, 3, 199
Solve 3*d**4/5 + 6*d**3/5 - 33*d**2 - 120*d = 0.
-5, 0, 8
Suppose 168*g**5/11 + 342*g**4/11 + 168*g**3/11 - 18*g**2/11 - 12*g/11 = 0. What is g?
-1, -2/7, 0, 1/4
Factor v**3/2 + 4*v**2 - v/2 - 4.
(v - 1)*(v + 1)*(v + 8)/2
Find c such that 2*c**5 + 6*c**4 - 4*c**3 - 24*c**2 - 16*c = 0.
-2, -1, 0, 2
Find x such that 68*x**5/7 - 48*x**4/7 = 0.
0, 12/17
Factor 2*t**3 - 82*t**2 - 264*t.
2*t*(t - 44)*(t + 3)
Factor -2*t**5/5 + 10*t**4 + 162*t**3/5 + 166*t**2/5 + 56*t/5.
-2*t*(t - 28)*(t + 1)**3/5
Factor -5*k**2/6 + 490*k - 72030.
-5*(k - 294)**2/6
Factor 4*o**2 + 6280*o - 6284.
4*(o - 1)*(o + 1571)
Let -2*j**4/5 - 176*j**3/5 - 34*j**2 + 348*j/5 = 0. What is j?
-87, -2, 0, 1
Find z such that 3*z**2 - 36*z + 33 = 0.
1, 11
Suppose 5*z**4 + 740*z**3 + 27375*z**2 - 740*z - 27380 = 0. What is z?
-74, -1, 1
Suppose -x**2 + 51*x + 52 = 0. Calculate x.
-1, 52
Suppose 60*f**5 - 669*f**4 - 627*f**3 + 174*f**2 + 72*f = 0. What is f?
-1, -1/4, 0, 2/5, 12
Solve -5*u**4 + 10*u**3 + 35*u**2 - 100*u + 60 = 0 for u.
-3, 1, 2
Solve -2*i**4/7 - 2*i**3/7 + 6*i**2/7 + 10*i/7 + 4/7 = 0.
-1, 2
Solve -338*h**2 + 1022*h - 24 = 0 for h.
4/169, 3
Solve -w**4/5 + 4*w**3 + 67*w**2/5 + 46*w/5 = 0 for w.
-2, -1, 0, 23
Suppose -2*o**2/11 - 56*o/11 + 408/11 = 0. What is o?
-34, 6
Find m, given that -5*m**4 - 100*m**3 - 465*m**2 - 630*m = 0.
-14, -3, 0
Factor v**5 + v**4 - 3*v**3 - 5*v**2 - 2*v.
v*(v - 2)*(v + 1)**3
Determine q so that -3*q**4 - 45*q**3 - 117*q**2 + 381*q - 216 = 0.
-9, -8, 1
Determine l, given that -l**5 + 10*l**4 + 62*l**3 - 80*l**2 - 61*l + 70 = 0.
-5, -1, 1, 14
Factor n**2/6 + 52*n/3 + 679/6.
(n + 7)*(n + 97)/6
Let -14*b**4/5 - 46*b**3/5 + 2*b**2/5 + 46*b/5 + 12/5 = 0. Calculate b.
-3, -1, -2/7, 1
Suppose 45*q**3 + 173715*q**2 - 115825*q + 19305 = 0. Calculate q.
-3861, 1/3
Factor 3*n**4 + 10*n**3 + 13*n**2/3 - 20*n/3 + 4/3.
(n + 2)**2*(3*n - 1)**2/3
Suppose -d**5/3 - 5*d**4/3 + 2*d**3 = 0. Calculate d.
-6, 0, 1
Suppose -n**4 - 100*n**3 - 2398*n**2 + 5100*n - 2601 = 0. What is n?
-51, 1
Factor c**4/10 - 23*c**3/10 + 189*c**2/10 - 637*c/10 + 343/5.
(c - 7)**3*(c - 2)/10
Let -u**2 - 109*u + 452 = 0. Calculate u.
-113, 4
What is t in t**2/3 - 14*t - 184/3 = 0?
-4, 46
Find c such that -2*c**2 + 374*c = 0.
0, 187
Factor -28*m**2 + 284*m - 40.
-4*(m - 10)*(7*m - 1)
Factor -2*n**4 - 126*n**3 - 2164*n**2 - 5640*n - 3600.
-2*(n + 1)*(n + 2)*(n + 30)**2
Factor 2*g**3/3 + 104*g**2/3 - 226*g + 348.
2*(g - 3)**2*(g + 58)/3
Let -2*f**3/9 - 1252*f**2/3 - 783752*f/3 - 490628752/9 = 0. What is f?
-626
Find a such that 4*a**4/7 - 12352*a**3/7 + 14303616*a**2/7 - 7361594368*a/7 + 1420787713024/7 = 0.
772
Determine n, given that 25*n**4/6 - 5*n**3 - 5*n**2/2 + 10*n/3 = 0.
-4/5, 0, 1
Let q**5/4 - 705*q**4/2 + 2815*q**3/2 - 2110*q**2 + 5625*q/4 - 703/2 = 0. Calculate q.
1, 1406
Solve -92*g**2 - 4332*g - 376 = 0 for g.
-47, -2/23
Factor -5*l**2 + 320*l.
-5*l*(l - 64)
Solve -5*m**4 - 80*m**3 - 425*m**2 - 750*m = 0.
-6, -5, 0
Factor -4*v**4/3 + 76*v**3/3 - 140*v**2 + 196*v/3 + 2744/3.
-4*(v - 7)**3*(v + 2)/3
Find h, given that -3*h**2/4 + 111*h - 219 = 0.
2, 146
Factor 3*q**4 + 15*q**3 + 18*q**2 - 12*q - 24.
3*(q - 1)*(q + 2)**3
Factor -6*s**2 - 122*s + 220.
-2*(s + 22)*(3*s - 5)
Determine t, given that -2*t**4 - 10*t**3 + 6*t**2 + 90*t + 108 = 0.
-3, -2, 3
Factor -t**4/4 + 3*t**3/2 - 9*t**2/4 + t.
-t*(t - 4)*(t - 1)**2/4
Factor 2*j**4 - 4*j**3 - 8*j**2 + 4*j + 6.
2*(j - 3)*(j - 1)*(j + 1)**2
Factor 2*w**2/3 + 38*w/3 + 12.
2*(w + 1)*(w + 18)/3
Factor -3*d**3/4 - 6*d**2 - 12*d.
-3*d*(d + 4)**2/4
Factor -l**3/3 - 62*l**2 - 3844*l - 238328/3.
-(l + 62)**3/3
Find r such that 9*r**4/5 - 101*r**3/5 + 337*r**2/5 - 59*r + 10 = 0.
2/9, 1, 5
Find c such that -6*c**5/5 - 3*c**4 + 108*c**3/5 + 177*c**2/5 + 12*c = 0.
-5, -1, -1/2, 0, 4
Solve y**2 - 42*y + 441 = 0.
21
Determine x, given that 4*x**5 + 484*x**4 + 14396*x**3 - 14884*x**2 = 0.
-61, 0, 1
Suppose -2*z**3 - 86*z**2 - 992*z - 3456 = 0. What is z?
-27, -8
Factor -25*b**4 - 10*b**3 + 100*b**2 + 40*b.
-5*b*(b - 2)*(b + 2)*(5*b + 2)
Suppose -5*k**3 + 12550*k**2 = 0. What is k?
0, 2510
Factor -4*z**4 + 696*z**3 - 2064*z**2 + 2056*z - 684.
-4*(z - 171)*(z - 1)**3
Let -5*i**3 - 155*i**2 + 1800*i = 0. What is i?
-40, 0, 9
Solve -5*r**4 + 40*r**3 - 120*r**2 + 160*r - 80 = 0 for r.
2
Suppose 2*v**3/19 + 238*v**2/19 + 232*v/19 - 472/19 = 0. What is v?
-118, -2, 1
Let -2*g**4/9 + 16*g**3/9 - 4*g**2/9 - 64*g/9 - 14/3 = 0. Calculate g.
-1, 3, 7
Determine f, given that 16*f**2/11 + 30*f/11 - 4/11 = 0.
-2, 1/8
Determine c, given that -30*c**5 - 95*c**4 + 310*c**3 + 125*c**2 - 250*c = 0.
-5, -1, 0, 5/6, 2
Factor -21*a**2 - 23*a - 2.
-(a + 1)*(21*a + 2)
Solve l**2/2 - 159*l + 25281/2 = 0 for l.
159
Solve a**2/3 + 1756*a/3 + 585 = 0.
-1755, -1
Factor -2*u**3 + 6*u**2 - 4*u.
-2*u*(u - 2)*(u - 1)
Suppose -3*h**5 - 33*h**4 + 168*h**3 - 180*h**2 = 0. What is h?
-15, 0, 2
Determine f, given that -5*f**5 - 215*f**4 - 2410*f**3 - 1990*f**2 + 2415*f + 2205 = 0.
-21, -1, 1
Find z, given that 3*z**4 - 135*z**3 + 132*z**2 = 0.
0, 1, 44
Factor -12*u**3 - 21*u**2 - 6*u + 3.
-3*(u + 1)**2*(4*u - 1)
Factor 7*f**5/5 - 72*f**4/5 + 188*f**3/5 - 202*f**2/5 + 93*f/5 - 14/5.
(f - 7)*(f - 1)**3