
Factor 6*g**2 + 63*g + 30.
3*(g + 10)*(2*g + 1)
Suppose -2*d**2 - 490*d + 5100 = 0. Calculate d.
-255, 10
Factor -g**4 - 4*g**3 - 5*g**2 - 2*g.
-g*(g + 1)**2*(g + 2)
Suppose -4*g**5 - 568*g**4 - 5296*g**3 + 1000160*g**2 - 17887744*g + 92900864 = 0. What is g?
-92, 14
Suppose 3*k**2/7 + 1704*k/7 + 241968/7 = 0. Calculate k.
-284
Let q**5/4 - 79*q**4 - 80*q**3 + 475*q**2/2 + 319*q/4 - 317/2 = 0. What is q?
-2, -1, 1, 317
Factor -192*s**3 + 812*s**2 - 752*s + 132.
-4*(s - 3)*(s - 1)*(48*s - 11)
Solve -5*f**5/7 - 34*f**4/7 - 78*f**3/7 - 68*f**2/7 - 13*f/7 + 6/7 = 0 for f.
-3, -2, -1, 1/5
Factor -k**4 - 9*k**3 - 15*k**2 - 7*k.
-k*(k + 1)**2*(k + 7)
Factor -2*l**2/7 - 88*l/7.
-2*l*(l + 44)/7
Factor -2*v**2/11 - 354*v/11 + 356/11.
-2*(v - 1)*(v + 178)/11
Factor -j**4/8 + 19*j**3/8 + 41*j**2/8 + 21*j/8.
-j*(j - 21)*(j + 1)**2/8
Factor 6*l**3/7 - 30*l**2/7 - 36*l/7.
6*l*(l - 6)*(l + 1)/7
Solve -16*m**2/3 + 26*m/3 - 10/3 = 0 for m.
5/8, 1
Determine u, given that -u**2/2 - 5*u/2 + 7 = 0.
-7, 2
Factor 3*f**4 - 2106*f**3 + 371703*f**2 - 737100*f + 367500.
3*(f - 350)**2*(f - 1)**2
Factor x**3 - 8*x**2 - 84*x.
x*(x - 14)*(x + 6)
Factor 5*q**2 + 85*q + 260.
5*(q + 4)*(q + 13)
Suppose 3*q**2/4 - 9*q/2 - 21/4 = 0. Calculate q.
-1, 7
Suppose 5*z**4/3 + 55*z**3/3 + 40*z**2 - 20*z/3 - 160/3 = 0. What is z?
-8, -2, 1
Suppose -39*c**2 + 21*c + 18 = 0. Calculate c.
-6/13, 1
Determine n so that -5*n**4 - 80*n**3 + 135*n**2 + 890*n + 680 = 0.
-17, -2, -1, 4
Determine k, given that -2*k**5/9 - 4*k**4/9 + 2*k**3/3 + 8*k**2/9 - 8*k/9 = 0.
-2, 0, 1
Factor 2*f**5 + 4*f**4 - 14*f**3 - 40*f**2 - 24*f.
2*f*(f - 3)*(f + 1)*(f + 2)**2
Suppose 4*b**5 + 2836*b**4/7 + 67784*b**3/7 - 208000*b**2/7 - 64896*b/7 = 0. What is b?
-52, -2/7, 0, 3
Determine i so that -5*i**4 - 75*i**3 - 375*i**2 - 625*i = 0.
-5, 0
Factor -t**2/6 + 137*t/6 + 23.
-(t - 138)*(t + 1)/6
Find k such that -5*k**3 + 30*k**2 - 55*k + 30 = 0.
1, 2, 3
Suppose -3*b**3/2 + 57*b**2/2 - 36*b - 1080 = 0. Calculate b.
-5, 12
Factor 4*z**3 - 4*z**2 - 8*z.
4*z*(z - 2)*(z + 1)
Factor 5*l**4 - 80*l**3 + 310*l**2 - 400*l + 165.
5*(l - 11)*(l - 3)*(l - 1)**2
Factor 2*x**3/9 + 6326*x**2/9 + 2108*x/3.
2*x*(x + 1)*(x + 3162)/9
Determine z so that -z**4 + 282*z**3 - 19597*z**2 - 40044*z - 20164 = 0.
-1, 142
Find y such that -26*y**2/11 - 32*y/11 + 40/11 = 0.
-2, 10/13
Factor 4*l**2 - 424*l/3 + 1820/3.
4*(l - 5)*(3*l - 91)/3
Factor 66*o**2 - 128*o - 8.
2*(o - 2)*(33*o + 2)
Let 3*w**2 + 108*w + 204 = 0. What is w?
-34, -2
Suppose 42*a**4 - 88*a**3 - 34*a**2 + 88*a - 8 = 0. Calculate a.
-1, 2/21, 1, 2
Find j, given that 1296*j**2 + 5040*j + 4900 = 0.
-35/18
Factor -y**2/8 + 3*y/8 + 9/4.
-(y - 6)*(y + 3)/8
Solve -6*u**5 + 3123*u**4 - 400881*u**3 - 1430526*u**2 - 1438380*u - 411864 = 0.
-2, -1, -1/2, 262
Let 3*w**3 - 9*w**2 + 9*w - 3 = 0. Calculate w.
1
Solve -3*a**3 + 135*a**2 - 258*a = 0.
0, 2, 43
Find m, given that 2*m**5 + 9*m**4 + 11*m**3 - 4*m = 0.
-2, -1, 0, 1/2
Let -s**4/5 + 11*s**3/5 - 3*s**2 - 27*s/5 = 0. Calculate s.
-1, 0, 3, 9
What is t in -t**5/9 + 7*t**3/9 + 2*t**2/3 = 0?
-2, -1, 0, 3
Let -4*o**5 + 360*o**4 - 10796*o**3 + 107640*o**2 + 10800*o - 108000 = 0. What is o?
-1, 1, 30
Suppose -3*x**2/4 + 27*x/4 + 15/2 = 0. What is x?
-1, 10
Find z, given that -5*z**2 + 60*z - 55 = 0.
1, 11
Factor -2*m**4 + 488*m**3 - 39852*m**2 + 1102248*m - 1062882.
-2*(m - 81)**3*(m - 1)
Determine t so that -1029*t**4 - 6027*t**3 - 4662*t**2 - 1284*t - 120 = 0.
-5, -2/7
Factor s**3/4 + 297*s**2/4 + 21291*s/4 - 114005/4.
(s - 5)*(s + 151)**2/4
Factor -g**2 + 51*g - 144.
-(g - 48)*(g - 3)
Suppose -2*n**5 - 106*n**4 + 218*n**3 - 110*n**2 = 0. What is n?
-55, 0, 1
What is v in 4*v**5 - 40*v**4/3 - 104*v**3 + 272*v**2 - 596*v/3 + 40 = 0?
-5, 1/3, 1, 6
Find v such that 8*v**5 + 92*v**4 - 444*v**3 - 332*v**2 + 436*v + 240 = 0.
-15, -1, -1/2, 1, 4
Suppose 5*b**3/4 - 25*b**2/2 - 85*b/4 + 165/2 = 0. Calculate b.
-3, 2, 11
Solve -27*b**2 + 156*b + 36 = 0 for b.
-2/9, 6
Factor -l**3/6 - 127*l**2/6 - 2431*l/6 - 4235/2.
-(l + 11)**2*(l + 105)/6
Factor -2*k**3 - 208*k**2 - 5194*k + 11236.
-2*(k - 2)*(k + 53)**2
Factor -5*x**3/4 + 5*x**2 + 25*x/4.
-5*x*(x - 5)*(x + 1)/4
Solve 4*h**3 + 1056*h**2 + 92928*h + 2725888 = 0 for h.
-88
Factor -3*a**2 - 303*a - 300.
-3*(a + 1)*(a + 100)
Solve 4*h**4 - 632*h**3 - 5316*h**2 + 632*h + 5312 = 0 for h.
-8, -1, 1, 166
Suppose 5*t**2 + 5*t - 30 = 0. Calculate t.
-3, 2
Determine r, given that -2*r**3/5 + 104*r**2/5 - 736*r/5 + 1408/5 = 0.
4, 44
What is v in 4*v**3 - 6468*v**2 + 2611452*v + 2617924 = 0?
-1, 809
Solve 2*k**3 + 152*k**2 - 8*k - 608 = 0 for k.
-76, -2, 2
Factor -405*o**3 - 2250*o**2 - 3125*o.
-5*o*(9*o + 25)**2
Suppose -4*u**5 - 60*u**4 - 252*u**3 - 196*u**2 = 0. Calculate u.
-7, -1, 0
Factor 2*l**4 - 194*l**3 + 382*l**2 - 190*l.
2*l*(l - 95)*(l - 1)**2
Solve -5*k**2 + 100*k = 0.
0, 20
Find u such that -4*u**2 + 112*u = 0.
0, 28
Solve -3*x**4 - 60*x**3 - 177*x**2 + 240*x = 0.
-16, -5, 0, 1
What is y in 2*y**3 + 18*y**2 - 216 = 0?
-6, 3
Factor -2*k**3/9 + 8*k**2/9 - 10*k/9 + 4/9.
-2*(k - 2)*(k - 1)**2/9
Factor -4*i**4 + 56*i**3 - 196*i**2.
-4*i**2*(i - 7)**2
Factor 3025*h**3 + 72380*h**2 - 5276*h + 96.
(h + 24)*(55*h - 2)**2
Determine f, given that -3*f**5 + 63*f**4 + 213*f**3 + 81*f**2 - 210*f - 144 = 0.
-2, -1, 1, 24
Find g such that g**5 - 58*g**4 - 647*g**3 - 2200*g**2 - 2972*g - 1360 = 0.
-5, -2, -1, 68
Factor -8*u**2/5 - 24*u - 90.
-2*(2*u + 15)**2/5
Factor 2*f**2 + 41*f + 105.
(f + 3)*(2*f + 35)
Factor -5*t**4 + 560*t**3 - 555*t**2.
-5*t**2*(t - 111)*(t - 1)
Factor -b**5 + 2*b**4 + b**3 - 2*b**2.
-b**2*(b - 2)*(b - 1)*(b + 1)
Suppose 6*g**4 - 407*g**3 + 1488*g**2 - 1027*g + 192 = 0. Calculate g.
1/3, 1/2, 3, 64
Determine j, given that 15*j**5 - 815*j**4 + 255*j**3 + 815*j**2 - 270*j = 0.
-1, 0, 1/3, 1, 54
Let -2*v**2/9 + 214*v/9 + 436/9 = 0. What is v?
-2, 109
Suppose -2*u**2/7 + 360*u/7 + 3800/7 = 0. What is u?
-10, 190
Determine u, given that -2*u**2 + 86*u - 744 = 0.
12, 31
Suppose -4*m**2 - 1616*m - 163216 = 0. What is m?
-202
Factor -2*l**5/3 + 2*l**4/3 + 4*l**3/3.
-2*l**3*(l - 2)*(l + 1)/3
Factor -n**4 - 65*n**3 + 204*n**2.
-n**2*(n - 3)*(n + 68)
Factor -3*x**3 + 24*x**2 - 3*x - 126.
-3*(x - 7)*(x - 3)*(x + 2)
Suppose 4*t**5 + 488*t**4 + 1436*t**3 + 952*t**2 = 0. Calculate t.
-119, -2, -1, 0
Find l, given that 11*l**4 - 438*l**3/5 + 699*l**2/5 - 304*l/5 - 12/5 = 0.
-2/55, 1, 6
Let -2*d**2 + 50*d + 52 = 0. Calculate d.
-1, 26
Find a such that -a**4 - 6*a**3 - 5*a**2 = 0.
-5, -1, 0
Suppose -3*p**3 - 18*p**2 + 255*p - 234 = 0. What is p?
-13, 1, 6
Factor -j**4 - 65*j**3 - 1239*j**2 - 5423*j + 6728.
-(j - 1)*(j + 8)*(j + 29)**2
Find s, given that 5*s**3 - 20*s**2 + 20*s = 0.
0, 2
Factor -2*k**3 - 4*k**2 + 70*k.
-2*k*(k - 5)*(k + 7)
What is x in -3*x**3 + 30*x**2 - 63*x = 0?
0, 3, 7
Determine f, given that 68*f**2 - 484*f + 56 = 0.
2/17, 7
Find s, given that -s**4/2 + 942*s**3 - 887363*s**2/2 - 942*s + 443682 = 0.
-1, 1, 942
Factor -2*w**3/5 - 22*w**2 - 108*w/5.
-2*w*(w + 1)*(w + 54)/5
Factor 2*x**2/5 + 32*x/5 + 128/5.
2*(x + 8)**2/5
Factor -12*b**2 - 356*b + 120.
-4*(b + 30)*(3*b - 1)
Factor -o**2/5 + 27*o/5 + 18.
-(o - 30)*(o + 3)/5
Factor -w**3/4 + 4*w**2 + 64*w - 1024.
-(w - 16)**2*(w + 16)/4
Suppose 5*j**2 - 65570*j + 214971245 = 0. What is j?
6557
Factor 3*u**3/2 - 390*u**2 + 28182*u - 357216.
3*(u - 122)**2*(u - 16)/2
Determine i so that 7*i**4 - 59*i**3 + 90*i**2 + 72*i = 0.
-4/7, 0, 3, 6
Factor -4*l**3/7 - 288*l**2/7 - 780*l - 1400.
-4*(l + 2)*(l + 35)**2/7
Factor 4*i**4 - 4*i**3 - 16*i**2 + 16*i.
4*i*(i - 2)*(i - 1)*(i + 2)
What is b in 225*b**4 - 195*b**3 - 290*b**2 + 140*b + 120 = 0?
-2/3, 1, 6/5
Determine v, given that -2*v**2 - 652*v + 654 = 0.
-327, 1
Factor 2*a**3/9 + 14*a**2/9 + 14*a/9 - 10/3.
2*(a - 1)*(a + 3)*(a + 5)/9
Factor -5*g**3 + 685*g**2 - 23115*g - 23805.
-5*(g - 69)**2*(g + 1)
Factor 2*d**5 + 18*d**4 + 40*d**3 + 24*d**2.
2*d**2*(d + 1)*(d + 2)*(d + 6)
Factor -2*k**3/13 + 76*k**2/13 - 722*k/13.
-2*k*(k - 19)**2/13
Factor 2*a**3 + 318*a**2 - 642*a + 322.
2*(a - 1)**2*(a + 161)
Find u, given that 72900*u**3/7 - 216540*u**2/7 - 6464*u/7 - 48/7 = 0.
-2/135, 3
Solve 2*u**2/23 - 488*u/23 + 486/23 = 0 for u.
1, 243
Let b**3/9 - 4*b**2 + 21*b - 30 = 0. What is b?
3, 30
Factor y**2