20*g.
2*g*(g - 7)*(g + 10)/7
Factor a**5/7 + 2*a**4 + 33*a**3/7 - 16*a**2 + 64*a/7.
a*(a - 1)**2*(a + 8)**2/7
Suppose -2*h**2 - 186*h - 364 = 0. What is h?
-91, -2
Solve 2*d**4/7 - 2*d**3/7 - 6*d**2/7 + 2*d/7 + 4/7 = 0.
-1, 1, 2
Let 2*s**3/11 + 16032*s**2/11 + 42837504*s/11 + 38153936896/11 = 0. What is s?
-2672
Factor -5*r**3 - 5*r**2 + 20*r + 20.
-5*(r - 2)*(r + 1)*(r + 2)
Determine w, given that -5*w**4 + 25*w**3 + 80*w**2 - 340*w + 240 = 0.
-4, 1, 2, 6
Factor -2*a**3/15 - 26*a**2/15 + 368*a/15 - 616/15.
-2*(a - 7)*(a - 2)*(a + 22)/15
Factor -f**2/3 + 6*f - 17/3.
-(f - 17)*(f - 1)/3
Factor 2*d**3/21 + 4*d**2/7 - 64/21.
2*(d - 2)*(d + 4)**2/21
Solve 3*k**5 + 168*k**4 + 315*k**3 - 510*k**2 - 1308*k - 648 = 0 for k.
-54, -2, -1, 2
Factor 135*b**4 + 182250*b**3 - 364860*b**2 + 243320*b - 54080.
5*(b + 1352)*(3*b - 2)**3
Factor m**3 - 6*m**2 + 9*m.
m*(m - 3)**2
Determine p so that -4*p**2/7 + 2808*p/7 + 5632/7 = 0.
-2, 704
Factor -5*k**5 - 105*k**4 - 550*k**3.
-5*k**3*(k + 10)*(k + 11)
Factor -2*t**2 + 1068*t.
-2*t*(t - 534)
Let -25*g**5 - 240*g**4 + 675*g**3 - 530*g**2 + 120*g = 0. What is g?
-12, 0, 2/5, 1
Suppose h**4/9 + 53*h**3/9 + 17*h**2/3 - 53*h/9 - 52/9 = 0. Calculate h.
-52, -1, 1
Factor 2*a**3 - 72*a**2 + 370*a - 300.
2*(a - 30)*(a - 5)*(a - 1)
Factor m**4/4 + 10*m**3 + 429*m**2/4 + 209*m/2 - 722.
(m - 2)*(m + 4)*(m + 19)**2/4
What is j in j**2 - 25 = 0?
-5, 5
Factor -27*x**2/4 - 51*x/4 + 3/2.
-3*(x + 2)*(9*x - 1)/4
Factor -36*u**2/7 + 148*u/7 - 16/7.
-4*(u - 4)*(9*u - 1)/7
Factor 3*q**4 + 18*q**3 - 96*q.
3*q*(q - 2)*(q + 4)**2
Factor -3*o**2/2 + 156*o - 4056.
-3*(o - 52)**2/2
Suppose -r**4 - 10*r**3 + 11*r**2 = 0. What is r?
-11, 0, 1
Factor 8*j**2 + 2*j - 10.
2*(j - 1)*(4*j + 5)
Factor 3*y**2/8 + 1791*y/4 + 1069227/8.
3*(y + 597)**2/8
Factor 3*u**3/5 - 12*u**2/5 - 9*u + 54/5.
3*(u - 6)*(u - 1)*(u + 3)/5
Factor -x**3/7 - 617*x**2/7 - 94863*x/7 + 95481/7.
-(x - 1)*(x + 309)**2/7
Factor -3*r**3/5 - 48*r**2/5 + 117*r + 1890.
-3*(r - 14)*(r + 15)**2/5
Find g such that -21*g**3/4 - 45*g**2/2 - 87*g/4 - 9/2 = 0.
-3, -1, -2/7
Find f, given that f**5 + 187*f**4 - 377*f**3 + 189*f**2 = 0.
-189, 0, 1
Solve 5*d**4 + 5*d**3 - 35*d**2 - 5*d + 30 = 0 for d.
-3, -1, 1, 2
What is a in -2*a**3/3 - 6*a**2 + 20*a/3 = 0?
-10, 0, 1
Factor 5*f**5 + 20*f**4 - 5*f**3 - 20*f**2.
5*f**2*(f - 1)*(f + 1)*(f + 4)
Factor -13*o**2 + 41*o/3 - 2/3.
-(o - 1)*(39*o - 2)/3
Let -i**2/4 + 19*i/4 + 21/2 = 0. What is i?
-2, 21
Suppose 5*v**4/3 + 125*v**3/3 + 75*v**2 - 125*v/3 - 230/3 = 0. Calculate v.
-23, -2, -1, 1
Factor p**2/3 + 15854*p/3 + 62837329/3.
(p + 7927)**2/3
Suppose 95*g**2 - 6470*g + 680 = 0. What is g?
2/19, 68
Let -51*a**4 + 261*a**3 - 438*a**2 + 252*a - 24 = 0. Calculate a.
2/17, 1, 2
Factor -f**3/7 - 859*f**2/7 - 245*f - 857/7.
-(f + 1)**2*(f + 857)/7
Find v, given that 2*v**5 - 34*v**4 - 90*v**3 + 274*v**2 - 152*v = 0.
-4, 0, 1, 19
Factor f**4/5 - 11*f**3/5 - 8*f**2 - 28*f/5.
f*(f - 14)*(f + 1)*(f + 2)/5
Suppose 3*p**4/4 - 15*p**3/2 + 18*p**2 = 0. What is p?
0, 4, 6
Solve 5*p**2/3 + 275*p/3 = 0.
-55, 0
Factor 4*v**2/7 - 4*v - 72/7.
4*(v - 9)*(v + 2)/7
Find x, given that x**4/4 - 11*x**3/4 + 21*x**2/2 - 17*x + 10 = 0.
2, 5
Let a**3/9 + 10*a**2/9 - a/9 - 10/9 = 0. What is a?
-10, -1, 1
Factor -3*i**3 - 21*i**2 + 24*i.
-3*i*(i - 1)*(i + 8)
What is l in -l**3/5 - 2*l**2/5 + 13*l/5 - 2 = 0?
-5, 1, 2
Factor 2*t**2/5 + 372*t/5 + 17298/5.
2*(t + 93)**2/5
Find p such that 2*p**4 - 52*p**3/3 - 8*p**2 + 52*p/3 + 6 = 0.
-1, -1/3, 1, 9
Find a, given that 3*a**5 - 18*a**4 + 36*a**3 - 24*a**2 = 0.
0, 2
Find f, given that f**2/5 + 51*f/5 + 54 = 0.
-45, -6
Factor 50*f**3 + 565*f**2 + 165*f.
5*f*(f + 11)*(10*f + 3)
Factor -250*q**5 + 600*q**4 - 480*q**3 + 128*q**2.
-2*q**2*(5*q - 4)**3
Let -6*u**3 + 15*u**2 + 21*u = 0. What is u?
-1, 0, 7/2
Suppose -8*h**4 + 42*h**3 - 74*h**2 + 48*h - 8 = 0. Calculate h.
1/4, 1, 2
Factor -3*q**2/4 - 489*q/4 + 495/2.
-3*(q - 2)*(q + 165)/4
Find x such that 27*x**3 + 441*x**2 - 2499*x + 3087 = 0.
-21, 7/3
Find c, given that 6*c**5/5 + 28*c**4/5 - 44*c**3/5 - 208*c**2/5 - 202*c/5 - 12 = 0.
-5, -1, -2/3, 3
Find z such that z**2 + 410*z + 42025 = 0.
-205
Solve -3*u**2 + 51*u - 156 = 0 for u.
4, 13
Factor 5*k**4 + 135*k**3 + 340*k**2 - 480*k.
5*k*(k - 1)*(k + 4)*(k + 24)
Suppose -5*n**5 + 10*n**4 - 10*n**2 + 5*n = 0. What is n?
-1, 0, 1
Suppose -2*k**2/19 - 12*k/19 + 374/19 = 0. What is k?
-17, 11
Suppose -m**2/5 + 6*m/5 - 9/5 = 0. Calculate m.
3
Factor 4*a**4/9 - 8*a**3/9 - 64*a**2/9 + 128*a/9.
4*a*(a - 4)*(a - 2)*(a + 4)/9
Let n**4/3 + 520*n**3/3 + 67600*n**2/3 = 0. What is n?
-260, 0
What is f in 2*f**3/19 - 6*f**2/19 - 50*f/19 - 42/19 = 0?
-3, -1, 7
Solve -2*t**5/7 + 22*t**4/7 - 66*t**3/7 + 74*t**2/7 - 4*t = 0.
0, 1, 2, 7
Factor -2*d**3 - 142*d**2 - 278*d - 138.
-2*(d + 1)**2*(d + 69)
Determine m, given that -441*m**3 - 2226*m**2 - 3712*m - 2048 = 0.
-2, -32/21
Suppose y**4 + 61*y**3 - 322*y**2 + 524*y - 264 = 0. What is y?
-66, 1, 2
Suppose 3*v**3/5 - 12*v**2 = 0. What is v?
0, 20
Let 5*p**3 - 1315*p**2 + 2615*p - 1305 = 0. Calculate p.
1, 261
Let -s**3/8 + 23*s**2/4 = 0. Calculate s.
0, 46
Let 2*g**2/21 + 4*g/3 + 32/7 = 0. Calculate g.
-8, -6
Factor 13*p**3/3 + 184*p**2/3 + 28*p/3.
p*(p + 14)*(13*p + 2)/3
Factor -3*z**2 - 8262*z - 5688387.
-3*(z + 1377)**2
Solve 32*z**4 + 224*z**3 + 382*z**2 - 14*z - 24 = 0.
-4, -3, -1/4, 1/4
Factor -o**5/6 + o**4/2 - 2*o**2/3.
-o**2*(o - 2)**2*(o + 1)/6
Determine z so that -5*z**2 - 3100*z - 480500 = 0.
-310
Let -18*r**2/5 + 68*r/5 + 16/5 = 0. Calculate r.
-2/9, 4
Find i, given that 2*i**5/5 - 16*i**4/5 + 6*i**3 = 0.
0, 3, 5
Suppose -4*b**5 - 616*b**4 + 3796*b**3 - 7016*b**2 + 3840*b = 0. What is b?
-160, 0, 1, 2, 3
Determine g so that -2*g**3/3 + 1374*g**2 - 2746*g + 4118/3 = 0.
1, 2059
Factor -c**2/2 - 203*c/2 + 205.
-(c - 2)*(c + 205)/2
Factor -k**3 - 9*k**2 - 27*k - 27.
-(k + 3)**3
Determine l so that -3*l**2 - 717*l - 714 = 0.
-238, -1
Factor -5*s**3 + 110*s**2 + 235*s + 120.
-5*(s - 24)*(s + 1)**2
Suppose 3*q**5 + 40*q**4 + 304*q**3/3 + 26*q**2/3 - 137*q/3 + 10 = 0. Calculate q.
-10, -3, -1, 1/3
Factor -t**4 - 71*t**3 - 1509*t**2 - 8029*t + 9610.
-(t - 1)*(t + 10)*(t + 31)**2
Factor -2*o**3/5 - 2*o**2/5 + 12*o/5.
-2*o*(o - 2)*(o + 3)/5
Solve -g**4/6 + g**3/6 + 31*g**2/6 + 71*g/6 + 7 = 0.
-3, -2, -1, 7
Factor 57122*g**3/9 + 1352*g**2/9 + 8*g/9.
2*g*(169*g + 2)**2/9
Factor -d**4/2 + 19*d**3/2 + 385*d**2/2 - 403*d/2.
-d*(d - 31)*(d - 1)*(d + 13)/2
Factor 2450*m**3 + 280*m**2 + 8*m.
2*m*(35*m + 2)**2
Suppose -r**4/2 + 9*r**3/2 + 33*r**2/2 + 35*r/2 + 6 = 0. What is r?
-1, 12
Determine a, given that 289*a**4/3 - 408*a**3 + 92*a**2 - 16*a/3 = 0.
0, 2/17, 4
Factor -4*o**5 - 24*o**4 + 60*o**3 - 32*o**2.
-4*o**2*(o - 1)**2*(o + 8)
Find v such that -v**3 + v**2 + 10*v + 8 = 0.
-2, -1, 4
Solve -2*n**3 + 56*n**2 - 520*n + 1600 = 0 for n.
8, 10
Factor l**3/3 + 12*l**2 - 25*l + 38/3.
(l - 1)**2*(l + 38)/3
Solve -5*d**2/4 + 257*d/4 + 39 = 0.
-3/5, 52
Factor r**2/2 + 41*r + 81/2.
(r + 1)*(r + 81)/2
Factor -2*w**3/11 + 30*w**2/11 - 126*w/11 + 162/11.
-2*(w - 9)*(w - 3)**2/11
Determine v so that 15*v**5/7 - 2526*v**4/7 + 144558*v**3/7 - 423060*v**2 + 8648475*v/7 - 2994750/7 = 0.
2/5, 3, 55
Solve -3*g**3 + 867*g**2 - 858*g - 1728 = 0.
-1, 2, 288
Suppose 10*d**3 + 345*d**2 + 650*d = 0. Calculate d.
-65/2, -2, 0
Factor d**4/3 + 8*d**3/3 - 95*d**2/3 + 50*d.
d*(d - 5)*(d - 2)*(d + 15)/3
Factor -4*c**2/5 + 61072*c/5 - 233111824/5.
-4*(c - 7634)**2/5
Let -g**3/2 - 100*g**2/3 + 697*g/6 - 35 = 0. Calculate g.
-70, 1/3, 3
Determine c so that -2*c**5 - 100*c**4 - 1426*c**3 - 4232*c**2 = 0.
-23, -4, 0
Factor -6*o**2/5 - 150*o - 1980.
-6*(o + 15)*(o + 110)/5
Factor -4*d**4/9 + 28*d**3/9 - 28*d**2/9 - 20*d/3.
-4*d*(d - 5)*(d - 3)*(d + 1)/9
Factor -4*j**3 + 5144*j**2 - 30756*j + 46080.
-4*(j - 1280)*(j - 3)**2
Factor -2*u**2/13 - 102*u/13 - 100/13.
-2*(u + 1)*(u + 50)/13
Factor 3*s**3/4 - 165*s**2/2 - 1359*s/4 - 513/2.
3*(s - 114)*(s + 1)*(s + 3)/4
Factor -m**3/3 - 62*m**2/3 + 21*m.
-m*(m - 1)*(m + 63)/3
Solve -3*l**3/4 - 69*l**2/4 - 51*l/2 + 126 = 0.
-21, -4, 2
Factor -2*b**3 + 26*b**2 - 46*b + 22.
-2*(b - 11)*(b - 1)**2
Solve 3*l**3 - 147*l**2 + 540*l = 0.
0, 4, 45
Factor -q**3 - 2*q**2 + 20*q - 24.
-(q - 2)**2*(q + 6)
Find 