94*v - 190.
-2*(v + 19)*(4*v - 5)**2/5
Let 9*c**4 - 1749*c**3 + 85257*c**2 - 27063*c - 56454 = 0. What is c?
-2/3, 1, 97
Let -79*j**4 - 77*j**3 + 318*j**2 + 308*j - 8 = 0. What is j?
-2, -1, 2/79, 2
Factor 9*x**3/2 - 12*x**2 - 45*x/2 - 6.
3*(x - 4)*(x + 1)*(3*x + 1)/2
Solve 3*a**2 + 219*a + 216 = 0 for a.
-72, -1
Find s such that -3*s**4 - 21*s**3 - 21*s**2 + 45*s = 0.
-5, -3, 0, 1
Factor 7*q**3 - 318*q**2 - 184*q.
q*(q - 46)*(7*q + 4)
Suppose -2*q**3 - 24*q**2 + 86*q - 60 = 0. What is q?
-15, 1, 2
Factor 3*r**2 + 1890*r + 1887.
3*(r + 1)*(r + 629)
Determine a so that 5*a**5 + 70*a**4 + 165*a**3 - 20*a**2 - 220*a = 0.
-11, -2, 0, 1
Suppose 7*m**3/2 - 29*m**2 + 8*m = 0. What is m?
0, 2/7, 8
Factor -y**3 - 22*y**2 - 107*y + 130.
-(y - 1)*(y + 10)*(y + 13)
Find o, given that 4*o**4 - 16*o**3 - 4*o**2 + 64*o - 48 = 0.
-2, 1, 2, 3
Factor -2*n**3/9 - 62*n**2/9.
-2*n**2*(n + 31)/9
Determine k so that -2*k**3/9 + 184*k**2/9 - 608*k + 5760 = 0.
20, 36
Factor -4*s**3 + 28*s**2 - 40*s.
-4*s*(s - 5)*(s - 2)
Factor 2*h**3/5 - 42*h/5 + 8.
2*(h - 4)*(h - 1)*(h + 5)/5
Factor -4*o**3/9 - 16*o**2/3 - 116*o/9 - 8.
-4*(o + 1)*(o + 2)*(o + 9)/9
Factor -2*g**3 + 6*g**2/7 + 50*g - 150/7.
-2*(g - 5)*(g + 5)*(7*g - 3)/7
Factor 3*q**3/2 - 3*q**2/2 - 45*q.
3*q*(q - 6)*(q + 5)/2
Solve -x**2 - 30*x + 175 = 0.
-35, 5
Factor f**5/4 + 169*f**4/2 + 9739*f**3 + 406670*f**2 + 2807200*f + 5324000.
(f + 4)**2*(f + 110)**3/4
Factor 3*d**4/7 - 24*d**3/7 + 15*d**2/7 + 150*d/7.
3*d*(d - 5)**2*(d + 2)/7
Factor -4*s**2 - 48*s.
-4*s*(s + 12)
Let 4*d**4/7 + 20*d**3/7 - 4*d**2/7 - 20*d/7 = 0. Calculate d.
-5, -1, 0, 1
Factor 5*d**3 + 15*d**2 - 570*d + 1040.
5*(d - 8)*(d - 2)*(d + 13)
Factor -q**3/4 + 3*q**2/2 + 15*q/4 + 2.
-(q - 8)*(q + 1)**2/4
Determine q, given that 841*q**4/2 - 928*q**3 + 599*q**2 - 96*q + 9/2 = 0.
3/29, 1
Find m such that 2*m**2/7 + 26*m/7 + 24/7 = 0.
-12, -1
Factor -2*v**3/7 - 10*v**2 + 2*v/7 + 10.
-2*(v - 1)*(v + 1)*(v + 35)/7
Factor 3*g**2/5 - 24*g/5 + 9.
3*(g - 5)*(g - 3)/5
Determine i, given that -2*i**4 + i**3 + 13*i**2 + 6*i = 0.
-2, -1/2, 0, 3
Factor -2*c**4/25 - 14*c**3 - 348*c**2/25.
-2*c**2*(c + 1)*(c + 174)/25
Find s such that 2*s**4/11 + 166*s**3/11 - 338*s**2/11 + 170*s/11 = 0.
-85, 0, 1
Let -2*u**4 + 14*u**3 - 28*u**2 + 16*u = 0. Calculate u.
0, 1, 2, 4
Factor -k**3/5 - 23*k**2/5 + 53*k/5 + 15.
-(k - 3)*(k + 1)*(k + 25)/5
Factor -4*d**3/5 + 666*d**2/5 - 27888*d/5 + 13778/5.
-2*(d - 83)**2*(2*d - 1)/5
Find f, given that -5*f**3 - 325*f**2 - 2410*f + 6160 = 0.
-56, -11, 2
Find j such that 2*j**4 + 6*j**3 - 2*j**2 - 6*j = 0.
-3, -1, 0, 1
Determine l, given that -5*l**4 + 55*l**3 - 135*l**2 + 125*l - 40 = 0.
1, 8
Factor 2*c**2/15 + 44*c/15.
2*c*(c + 22)/15
Suppose 2*p**5 - 62*p**4 - 132*p**3 - 4*p**2 + 130*p + 66 = 0. What is p?
-1, 1, 33
Solve u**3 + 29*u**2 + 280*u + 900 = 0.
-10, -9
Suppose -m**5/5 + 44*m**4/5 + 187*m**3/5 + 238*m**2/5 + 96*m/5 = 0. Calculate m.
-2, -1, 0, 48
Solve -c**2 + 23*c + 50 = 0 for c.
-2, 25
Factor p**2/5 - 3582*p/5 + 3207681/5.
(p - 1791)**2/5
Suppose -3*y**4 + 36*y**3 + 51*y**2 - 144*y - 156 = 0. Calculate y.
-2, -1, 2, 13
Factor -2*q**5/3 - 14*q**4/3.
-2*q**4*(q + 7)/3
Factor -1922*z**2 + 372*z - 18.
-2*(31*z - 3)**2
Factor -r**2/7 + 14*r - 343.
-(r - 49)**2/7
Solve 2*a**4/5 + 144*a**3/5 + 3788*a**2/5 + 43056*a/5 + 178802/5 = 0 for a.
-23, -13
Factor y**3 + 3*y**2 - 4.
(y - 1)*(y + 2)**2
Suppose 2*b**3/9 - 98*b**2/9 - 2*b/9 + 98/9 = 0. Calculate b.
-1, 1, 49
Suppose y**3/4 - y**2/4 - 10*y + 28 = 0. Calculate y.
-7, 4
Factor -c**2/11 + 416*c + 4577/11.
-(c - 4577)*(c + 1)/11
Factor n**3/3 - 41*n**2/3 + 230*n/3 + 272/3.
(n - 34)*(n - 8)*(n + 1)/3
Solve -p**3/3 - 55*p**2/3 + 241*p/3 + 295/3 = 0.
-59, -1, 5
Solve 2*d**3 + 150*d**2 - 2*d - 150 = 0 for d.
-75, -1, 1
Suppose -5*g**4/4 + 23*g**3/4 - 5*g**2 - 3*g = 0. Calculate g.
-2/5, 0, 2, 3
Let -3*y**5 - 33*y**4 - 30*y**3 + 318*y**2 - 399*y + 147 = 0. Calculate y.
-7, 1
Let -3*g**2 + 36*g - 33 = 0. Calculate g.
1, 11
Factor -15*p**3 + 219*p**2 + 600*p + 204.
-3*(p - 17)*(p + 2)*(5*p + 2)
Let -36*y**5 - 284*y**4 - 5869*y**3/9 - 3212*y**2/9 + 413*y/9 - 4/3 = 0. What is y?
-4, -3, -1, 1/18
Suppose 22*z**2 - 58*z - 24 = 0. What is z?
-4/11, 3
Let 3*c**5 + 3*c**4 - 54*c**3 - 48*c**2 + 96*c = 0. What is c?
-4, -2, 0, 1, 4
What is q in -4*q**2/3 - 268*q/9 + 184/9 = 0?
-23, 2/3
Solve -5*z**4 + 5*z**3 + 995*z**2 + 955*z - 1950 = 0.
-13, -2, 1, 15
Let -3*q**3 - 48*q**2 - 207*q - 270 = 0. Calculate q.
-10, -3
Determine y so that -23*y**4 - y**3 + 23*y**2 + y = 0.
-1, -1/23, 0, 1
Solve 45*p**4 - 32622*p**3 - 34851*p**2 + 2172*p + 4356 = 0.
-1, -2/5, 1/3, 726
Find c such that -2*c**2 + 80*c + 2562 = 0.
-21, 61
Find l, given that -12*l**4 + 261*l**3 + 363*l**2 - 414*l = 0.
-2, 0, 3/4, 23
Factor -242*k**2/5 - 264*k/5 - 72/5.
-2*(11*k + 6)**2/5
Find r, given that -r**2 + 23*r/2 - 11/2 = 0.
1/2, 11
Factor b**4/5 - 42*b**3/5 + 637*b**2/5 - 4116*b/5 + 9604/5.
(b - 14)**2*(b - 7)**2/5
Factor -p**3/5 - 194*p**2/5 - 193*p/5.
-p*(p + 1)*(p + 193)/5
Suppose -f**5/6 + 11*f**4/3 + 47*f**3/6 + 4*f**2 = 0. Calculate f.
-1, 0, 24
Factor -3*u**2/8 - 6*u - 24.
-3*(u + 8)**2/8
Factor -3*g**3 + 180*g**2 + 963*g + 780.
-3*(g - 65)*(g + 1)*(g + 4)
Factor u**4/4 - 7*u**3/2 + 13*u**2/4.
u**2*(u - 13)*(u - 1)/4
Determine p, given that 35*p**5 - 195*p**4 - 355*p**3 + 15*p**2 + 140*p = 0.
-1, 0, 4/7, 7
Factor k**4 - 16*k**3 + 51*k**2 - 36*k.
k*(k - 12)*(k - 3)*(k - 1)
Solve -6*t**5/7 - 288*t**4/7 - 552*t**3/7 + 12*t**2/7 + 558*t/7 + 276/7 = 0.
-46, -1, 1
Find y such that -y**4 - 34*y**3 - 360*y**2 - 864*y + 3456 = 0.
-12, 2
Let n**3/4 + 25*n**2/4 + 38*n + 68 = 0. Calculate n.
-17, -4
Find d, given that 4*d**5 + 24*d**4 + 20*d**3 - 96*d**2 - 144*d = 0.
-3, -2, 0, 2
What is c in 3*c**3/4 - 48*c**2 + 189*c/4 = 0?
0, 1, 63
Factor -3*f**3 - 333*f**2 - 2202*f - 1872.
-3*(f + 1)*(f + 6)*(f + 104)
Factor -3*w**3/8 + 105*w**2/8 + 3*w/2 - 105/2.
-3*(w - 35)*(w - 2)*(w + 2)/8
Find y, given that -4*y**2 + 64*y + 528 = 0.
-6, 22
Suppose s**5/3 + 8*s**4/3 + 6*s**3 + 16*s**2/3 + 5*s/3 = 0. Calculate s.
-5, -1, 0
Let -2*i**2 - 176*i - 3480 = 0. What is i?
-58, -30
Let -u**2 + 300*u - 22500 = 0. What is u?
150
Determine o so that -7744*o**3/15 - 1144*o**2/15 + 8*o + 6/5 = 0.
-3/22, 1/8
Solve -3*h**5 + 294*h**4 + 1869*h**3 + 384*h**2 - 7536*h + 4992 = 0 for h.
-4, 1, 104
Factor 3*g**3 + 84*g**2 + 528*g + 960.
3*(g + 4)**2*(g + 20)
Factor 3*u**3 - 240*u**2 + 471*u - 234.
3*(u - 78)*(u - 1)**2
Find x such that -5*x**2 - 50*x = 0.
-10, 0
Find g, given that -5*g**5 - 110*g**4 - 660*g**3 - 200*g**2 + 4000*g = 0.
-10, -4, 0, 2
Factor -2*k**5 - 54*k**4 - 150*k**3 - 146*k**2 - 48*k.
-2*k*(k + 1)**3*(k + 24)
Solve -2*p**5 - 42*p**4 - 178*p**3 - 302*p**2 - 228*p - 64 = 0.
-16, -2, -1
Factor -2*h**4/3 - 22*h**3/3 - 52*h**2/3 - 32*h/3.
-2*h*(h + 1)*(h + 2)*(h + 8)/3
Factor 20*a**3 - 308*a**2 - 200*a + 128.
4*(a - 16)*(a + 1)*(5*a - 2)
Factor -q**3/11 - 724*q**2/11 - 131044*q/11.
-q*(q + 362)**2/11
Factor -5*o**3 - 40*o**2 + 155*o - 110.
-5*(o - 2)*(o - 1)*(o + 11)
Suppose 4*w**2 + 168*w + 468 = 0. What is w?
-39, -3
Factor -4*t**4 + 13596*t**3 - 15404268*t**2 + 5817678548*t.
-4*t*(t - 1133)**3
Suppose -p**2/4 - 5*p/2 + 11/4 = 0. Calculate p.
-11, 1
Let -x**5/9 - x**4/3 + 98*x**3/9 + 34*x**2/3 - 97*x/9 - 11 = 0. What is x?
-11, -1, 1, 9
Factor -2*r**3 + 132*r**2 - 504*r + 496.
-2*(r - 62)*(r - 2)**2
Factor f**3 - 155*f**2 + 458*f - 304.
(f - 152)*(f - 2)*(f - 1)
Let f**2/7 + 25*f/7 + 12 = 0. Calculate f.
-21, -4
Suppose -2*b**4/9 - 10*b**3/9 + 16*b**2/3 - 8*b/9 - 64/9 = 0. Calculate b.
-8, -1, 2
Factor 2*m**5/13 + 110*m**4/13 + 1670*m**3/13 + 4370*m**2/13 + 320*m + 104.
2*(m + 1)**3*(m + 26)**2/13
Solve 21*y**3 + 45*y**2 - 57*y - 9 = 0.
-3, -1/7, 1
Solve 36*n**4 - 43584*n**3 + 13162336*n**2 + 17607936*n + 5875776 = 0.
-2/3, 606
Factor 8*y**3 - 30364*y**2 + 28804048*y + 14409616.
4*(y - 1898)**2*(2*y + 1)
Factor 3*j**3 - 18*j**2 - 48*j.
3*j*(j - 8)*(j + 2)
Factor 5*o**2 - 225*o + 2530.
5*(o - 23)*(o - 22)
Determine l, given that 4*l**5/3 - 8*l**3 + 32*l**2/3 - 4*l = 0.
-3, 0, 1
Factor 2*t**2/5 - 568*t/5 + 566/5.
2*(t - 283)*(t - 1)/5
Factor -2*r**3 - 58*r**2 - 376*r - 320.
-2*(r + 1)*(r + 8)*(r + 20)
Factor -5*l**2 + 80*l + 85.
-5*(l - 17)*(l + 1