 3888*v + 1296.
4*(v - 6)**2*(5*v + 3)**2
Let -22*s**5 - 32*s**4 + 24*s**3 + 44*s**2 - 2*s - 12 = 0. What is s?
-1, 6/11, 1
Suppose 2*i**5 - 18500*i**4 + 57029330*i**3 - 58550079240*i**2 - 117271320480*i - 58664193408 = 0. What is i?
-1, 3084
Let 5*u**2/3 + 80*u/3 - 60 = 0. What is u?
-18, 2
Find k, given that -2*k**2 - 196*k - 4802 = 0.
-49
Find o such that -2*o**2 + 440*o - 1302 = 0.
3, 217
Find t such that -t**2/7 - 3349*t/7 + 3350/7 = 0.
-3350, 1
Factor 2*y**3/5 + 6*y**2 + 108*y/5 + 16.
2*(y + 1)*(y + 4)*(y + 10)/5
Find n such that 4*n**5/7 - 16*n**4/7 + 12*n**3/7 + 16*n**2/7 - 16*n/7 = 0.
-1, 0, 1, 2
Factor 45*b**4 - 195*b**3 - 1285*b**2 - 525*b + 1960.
5*(b - 8)*(b - 1)*(3*b + 7)**2
Factor 4*v**2 + 4916*v + 4912.
4*(v + 1)*(v + 1228)
Factor -6*g**5 - 2*g**4/3 + 4*g**3/9.
-2*g**3*(3*g + 1)*(9*g - 2)/9
Factor 2*p**2/7 + 2852*p/7 + 1016738/7.
2*(p + 713)**2/7
Suppose -q**2/3 - 32*q/3 - 84 = 0. Calculate q.
-18, -14
Solve 4*g**2 + 768*g + 36864 = 0.
-96
Suppose -28*k**5 + 136*k**4 - 236*k**3 + 176*k**2 - 48*k = 0. Calculate k.
0, 6/7, 1, 2
Find x such that -4*x**3/3 - 16*x**2/3 - 4*x/3 + 8 = 0.
-3, -2, 1
Suppose 2*n**4/15 - 398*n**3/15 + 386*n**2/5 + 1194*n/5 - 3528/5 = 0. What is n?
-3, 3, 196
Factor 6*i**5/11 + 30*i**4/11 - 78*i**3/11 + 42*i**2/11.
6*i**2*(i - 1)**2*(i + 7)/11
Solve 2*t**3/13 - 8*t**2/13 + 8*t/13 = 0.
0, 2
Factor 4*j**2 - 35976*j + 80892036.
4*(j - 4497)**2
Factor s**5 + 192*s**4 + 567*s**3 - 4*s**2 - 756*s.
s*(s - 1)*(s + 2)**2*(s + 189)
Find z such that -2*z**5/3 + 26*z**4/3 - 124*z**3/3 + 256*z**2/3 - 64*z = 0.
0, 2, 3, 4
Factor 7*k**3/4 - 1138*k**2 + 325*k.
k*(k - 650)*(7*k - 2)/4
Suppose 3*p**3 + 1011*p**2 - 6147*p + 9261 = 0. What is p?
-343, 3
Solve i**5/2 - 15*i**4/2 + 75*i**3/2 - 145*i**2/2 + 60*i - 18 = 0.
1, 6
Factor -3*v**5/2 - 15*v**4/2 - 6*v**3.
-3*v**3*(v + 1)*(v + 4)/2
Factor 2*l**4/3 + 20*l**3/3 + 34*l**2/3 + 16*l/3.
2*l*(l + 1)**2*(l + 8)/3
Suppose 16*c**3 + 660*c**2 + 164*c = 0. What is c?
-41, -1/4, 0
Solve -b**5 + 19*b**3 + 6*b**2 - 72*b = 0 for b.
-3, 0, 2, 4
Factor -5*o**2 + 540*o - 14580.
-5*(o - 54)**2
Factor 4*q**2 - 100*q - 336.
4*(q - 28)*(q + 3)
Find o such that 12*o**4 - 400*o**3 - 1608*o**2 - 752*o + 444 = 0.
-3, -1, 1/3, 37
Factor -5*f**4 - 65*f**3 - 60*f**2.
-5*f**2*(f + 1)*(f + 12)
Determine c, given that -3*c**2 - 18*c - 24 = 0.
-4, -2
Factor -z**2/7 - 498*z/7 - 62001/7.
-(z + 249)**2/7
Factor -85*x**3 + 2540*x**2 + 8715*x + 990.
-5*(x - 33)*(x + 3)*(17*x + 2)
What is b in -3*b**4/5 - 66*b**3 + 681*b**2/5 + 1008*b/5 = 0?
-112, -1, 0, 3
Factor h**3 + 470*h**2 - 943*h + 472.
(h - 1)**2*(h + 472)
Find x such that 2*x**3/3 - 36*x**2 - 74*x - 112/3 = 0.
-1, 56
Find y such that 2*y**2/3 + 482*y/3 - 324 = 0.
-243, 2
Factor 3*f**2 - 402*f + 13467.
3*(f - 67)**2
Factor 2*w**4/3 + 74*w**3/3 + 24*w**2.
2*w**2*(w + 1)*(w + 36)/3
Solve 2*m**4 - 108*m**3 + 506*m**2 - 792*m + 392 = 0.
1, 2, 49
Find a such that 2*a**2/3 + 256*a/3 + 8192/3 = 0.
-64
Factor -a**4 + 45*a**3 - 483*a**2 - 529*a.
-a*(a - 23)**2*(a + 1)
What is w in w**3/2 + 3*w**2 + 11*w/2 + 3 = 0?
-3, -2, -1
Factor -4*h**2/5 - 744*h/5 - 34596/5.
-4*(h + 93)**2/5
Factor g**4/4 + 17*g**3/4 + 81*g**2/4 + 115*g/4 + 25/2.
(g + 1)**2*(g + 5)*(g + 10)/4
Factor -3*a**2 - 1536*a + 1539.
-3*(a - 1)*(a + 513)
Factor 2*t**4 - 32*t**3 + 98*t**2 + 132*t.
2*t*(t - 11)*(t - 6)*(t + 1)
Determine z so that z**5/3 - z**4 - z**3/3 + 7*z**2/3 - 4/3 = 0.
-1, 1, 2
Determine y so that -2*y**2/3 + 1426*y/3 - 5672/3 = 0.
4, 709
Factor 2*k**4/9 - 4*k**3/3 - 26*k**2/9 + 28*k/3.
2*k*(k - 7)*(k - 2)*(k + 3)/9
Factor 6*u**2/7 + 24*u/7 - 18.
6*(u - 3)*(u + 7)/7
Factor 14*s**3 + 188*s**2/7 - 310*s/7 + 24/7.
2*(s - 1)*(s + 3)*(49*s - 4)/7
Factor -3*o**2 - 2928*o - 714432.
-3*(o + 488)**2
Factor 4*j**4 - 8*j**3 - 16*j**2 + 8*j + 12.
4*(j - 3)*(j - 1)*(j + 1)**2
Determine m, given that 7*m**4 - 9*m**3 - 5*m**2 + 9*m - 2 = 0.
-1, 2/7, 1
Factor -m**2/4 + 1301*m/2 + 2603/4.
-(m - 2603)*(m + 1)/4
Find o such that -2*o**3/25 + 8*o**2/25 = 0.
0, 4
Suppose 5*h**2 - 6950*h + 2415125 = 0. What is h?
695
Factor -5*u**4 - 60*u**3 + 5*u**2 + 60*u.
-5*u*(u - 1)*(u + 1)*(u + 12)
Factor -2*a**4 + 44*a**3 - 186*a**2 + 280*a - 136.
-2*(a - 17)*(a - 2)**2*(a - 1)
Factor v**2/5 + 654*v/5 + 106929/5.
(v + 327)**2/5
Solve 2*o**4/19 + 204*o**3/19 - 2438*o**2/19 + 5496*o/19 + 8136/19 = 0 for o.
-113, -1, 6
Find l, given that 2*l**5/9 - 32*l**4/9 + 28*l**3/3 - 80*l**2/9 + 26*l/9 = 0.
0, 1, 13
Find q such that 3*q**4/5 - 531*q**3/5 + 22686*q**2/5 + 14364*q + 9720 = 0.
-2, -1, 90
Determine v, given that 4*v**4 + 24*v**3 - 16*v**2 - 96*v = 0.
-6, -2, 0, 2
Factor g**5 - 4*g**4 + 4*g**3 + 2*g**2 - 5*g + 2.
(g - 2)*(g - 1)**3*(g + 1)
Solve -10*v**3 - 1832*v**2 - 7526*v - 1432 = 0.
-179, -4, -1/5
Factor 3*b**4 - 15*b**3 - 24*b**2 + 36*b.
3*b*(b - 6)*(b - 1)*(b + 2)
Suppose -75*h**5 + 340*h**4 - 89*h**3 - 324*h**2 + 164*h - 16 = 0. What is h?
-1, 2/15, 2/5, 1, 4
Determine a, given that -5*a**5/4 - 5865*a**4/4 - 430710*a**3 - 429245*a**2 = 0.
-586, -1, 0
Determine l so that -60*l**4 + 76*l**3 + 44*l**2 - 76*l + 16 = 0.
-1, 4/15, 1
What is l in -429*l**3/5 - 432*l**2/5 + 2571*l/5 + 18/5 = 0?
-3, -1/143, 2
Suppose -s**3/3 + 19*s**2/3 + 4*s/3 - 76/3 = 0. What is s?
-2, 2, 19
Factor 4*o**4/3 - 4*o**3 - 8*o**2/3 + 16*o - 32/3.
4*(o - 2)**2*(o - 1)*(o + 2)/3
Let -2*b**3 + 4*b**2 - 2*b = 0. What is b?
0, 1
Factor 2*u**2/15 - 32*u/15 - 88/5.
2*(u - 22)*(u + 6)/15
Factor -2*c**3 + 8*c**2 + 30*c - 36.
-2*(c - 6)*(c - 1)*(c + 3)
Factor 3*m**2 + 711*m - 714.
3*(m - 1)*(m + 238)
Determine v so that -9*v**3 - 582*v**2 - 951*v - 378 = 0.
-63, -1, -2/3
Determine k so that -k**3 - 62*k**2 + 63*k = 0.
-63, 0, 1
Solve -3*n**3 + 1692*n**2 - 318096*n + 19934016 = 0 for n.
188
Determine g, given that -26*g**5 - 124*g**4 - 22*g**3 + 220*g**2 - 48*g = 0.
-4, -2, 0, 3/13, 1
Factor 35*k**3 + 215*k**2 + 310*k + 40.
5*(k + 2)*(k + 4)*(7*k + 1)
What is l in 5*l**3 - 185*l**2 - 190*l = 0?
-1, 0, 38
Factor -3*o**3 + 90*o**2 - 576*o - 1536.
-3*(o - 16)**2*(o + 2)
Factor q**5 - 48*q**4 + 767*q**3 - 4048*q**2 - 768*q + 4096.
(q - 16)**3*(q - 1)*(q + 1)
Factor 4*q**4/9 + 200*q**3/9 + 2500*q**2/9.
4*q**2*(q + 25)**2/9
Factor -4*d**2 - 124*d - 120.
-4*(d + 1)*(d + 30)
Factor -2*w**4/15 - 476*w**3/15 - 2528*w**2 - 1023524*w/15 - 986078/15.
-2*(w + 1)*(w + 79)**3/15
Factor g**2/5 - 1564*g/5 + 611524/5.
(g - 782)**2/5
Factor -25*h**4/4 - 205*h**3/4 - 299*h**2/4 + 529*h/4.
-h*(h - 1)*(5*h + 23)**2/4
Solve -4*h**2 - 44*h - 112 = 0.
-7, -4
Factor 4*i**2 - 48*i + 44.
4*(i - 11)*(i - 1)
Factor -3*n**4 + 15*n**3 - 18*n**2.
-3*n**2*(n - 3)*(n - 2)
Solve 5*y**3 - 75*y**2 + 2500 = 0 for y.
-5, 10
Determine q, given that 5*q**2/4 + 1700*q + 578000 = 0.
-680
Find z such that -z**2/9 - 125*z/3 + 126 = 0.
-378, 3
Factor -9*n**2/5 - 92*n/5 - 4.
-(n + 10)*(9*n + 2)/5
Factor -40*o**3 + 875*o**2 - 730*o - 105.
-5*(o - 21)*(o - 1)*(8*o + 1)
What is o in -o**3 + 54*o**2 + 97*o - 2310 = 0?
-7, 6, 55
Let b**2/4 - 3*b/2 - 4 = 0. Calculate b.
-2, 8
Solve 2*y**2 - 192*y + 558 = 0.
3, 93
Suppose 4*f**2 - 14528*f + 13191424 = 0. What is f?
1816
What is g in -2*g**5 - 58*g**4 - 544*g**3 - 1832*g**2 - 2496*g - 1152 = 0?
-12, -2, -1
Factor 2*c**2 - 60*c.
2*c*(c - 30)
Solve 2*h**5 - 100*h**4 + 96*h**3 + 100*h**2 - 98*h = 0 for h.
-1, 0, 1, 49
Factor -9*f**4/4 + 921*f**3/8 - 15759*f**2/8 + 91035*f/8 - 14739/8.
-3*(f - 17)**3*(6*f - 1)/8
Determine b, given that -4*b**2 + 52*b + 192 = 0.
-3, 16
Factor 108*p**3 - 264*p**2 - 188*p + 24.
4*(p - 3)*(3*p + 2)*(9*p - 1)
Factor 4*b**3 + 16*b**2 - 484*b - 1936.
4*(b - 11)*(b + 4)*(b + 11)
Factor -3*l**2/4 + 21*l/4 - 9/2.
-3*(l - 6)*(l - 1)/4
Factor 33*d**3/2 - 5805*d**2/2 + 127512*d + 11616.
3*(d - 88)**2*(11*d + 1)/2
Suppose 361*i**5 - 6935*i**4 + 30328*i**3 + 29944*i**2 - 7280*i + 400 = 0. What is i?
-1, 2/19, 10
Find p such that -6*p**2 - 9*p = 0.
-3/2, 0
Factor l**2/4 - 65*l/2 + 64.
(l - 128)*(l - 2)/4
Let -3*g**5 - 49*g**4 - 130*g**3 + 10*g**2 + 133*g + 39 = 0. What is g?
-13, -3, -1, -1/3, 1
Solve -2*b**4 - 740*b**3 + 3744*b**2 - 2268*b - 6750 = 0.
-375, -1, 3
Let -2*v**4 + 12*v**3 - 16*v**2 - 12*v + 18 = 0. Calculate v.
-1, 1, 3
Factor 5*b**3 + 325*b**2 + 310*b - 640.
5*(b - 1)*(b + 2)*(b + 64)
Determine y, given that -y**2 - 66