mine a, given that -2*a**5 - 148*a**4 = 0.
-74, 0
Let 2*b**4/19 - 28*b**3/19 + 82*b**2/19 - 8*b/19 - 120/19 = 0. What is b?
-1, 2, 3, 10
Factor -2*p**2 + 46*p + 48.
-2*(p - 24)*(p + 1)
What is s in s**2/4 - 1 = 0?
-2, 2
Let -2*x**2 + 6772*x - 5732498 = 0. Calculate x.
1693
Determine q so that -4*q**3 + 1956*q**2 + 7872*q + 7888 = 0.
-2, 493
Factor 40*k**3 - 255*k**2 - 190*k + 105.
5*(k - 7)*(k + 1)*(8*k - 3)
Let 42*l**5/11 + 338*l**4/11 - 10*l**3 - 930*l**2/11 + 628*l/11 + 32/11 = 0. Calculate l.
-8, -2, -1/21, 1
Factor n**4/3 + 32*n**3/3 + 106*n**2 + 1120*n/3 + 833/3.
(n + 1)*(n + 7)**2*(n + 17)/3
Factor 2*v**2/11 + 230*v/11 + 228/11.
2*(v + 1)*(v + 114)/11
Let 5*w**3 + 20*w**2 + 5*w - 30 = 0. Calculate w.
-3, -2, 1
Factor -m**4/3 + 27*m**3 - 560*m**2 + 1600*m/3.
-m*(m - 40)**2*(m - 1)/3
Find a such that -5*a**3 + 110*a**2 - 625*a + 520 = 0.
1, 8, 13
Determine m so that m**4 + 138*m**3 + 4325*m**2 - 30384*m + 25920 = 0.
-72, 1, 5
Suppose h**2 + 110*h + 3025 = 0. Calculate h.
-55
Suppose 3*l**2/5 + 6*l - 72/5 = 0. Calculate l.
-12, 2
Determine v, given that -3*v**4 - 19*v**3 - 33*v**2 - 9*v = 0.
-3, -1/3, 0
Factor f**4/3 - 224*f**3 - f**2/3 + 224*f.
f*(f - 672)*(f - 1)*(f + 1)/3
What is l in -2*l**5/13 + 662*l**4/13 + 2684*l**3/13 - 1316*l**2/13 - 8058*l/13 + 6030/13 = 0?
-3, 1, 335
Factor 2*h**5 + 8*h**4 - 6*h**3 - 20*h**2 + 16*h.
2*h*(h - 1)**2*(h + 2)*(h + 4)
Find s such that -5*s**4 + 2415*s**3 - 4815*s**2 + 2405*s = 0.
0, 1, 481
Factor o**3/3 - 8*o**2/3 + 20*o/3 - 16/3.
(o - 4)*(o - 2)**2/3
Solve -100*n**5/3 + 20*n**4/3 + 299*n**3/3 + 140*n**2/3 - 37*n/3 + 2/3 = 0 for n.
-1, 1/10, 2
What is s in s**2 + 2*s - 15 = 0?
-5, 3
Solve r**3/2 + 21*r**2 + 441*r/2 = 0 for r.
-21, 0
Factor -39*u**2 + 111*u + 18.
-3*(u - 3)*(13*u + 2)
Factor -3*h**2 - 105*h + 222.
-3*(h - 2)*(h + 37)
Factor 20*b**3 + 47844*b**2 + 28617888*b + 5721664.
4*(b + 1196)**2*(5*b + 1)
Let 5*x**3 - 235*x**2 + 1195*x + 1435 = 0. Calculate x.
-1, 7, 41
Solve -3*y**5 + 51*y**4 + 72*y**3 - 324*y**2 = 0.
-3, 0, 2, 18
Determine n, given that 22*n**4/3 + 2*n**3/3 - 46*n**2/3 - 2*n/3 + 8 = 0.
-12/11, -1, 1
Solve -4*k**3 + 8*k**2 + 212*k + 360 = 0.
-5, -2, 9
Let -h**5/4 + 19*h**4/2 + 10*h**3 - 19*h**2/2 - 39*h/4 = 0. Calculate h.
-1, 0, 1, 39
Factor 3*o**3/4 + 177*o**2/4 - 471*o/2 + 288.
3*(o - 3)*(o - 2)*(o + 64)/4
Factor 5*i**3 + 355*i**2 + 350*i.
5*i*(i + 1)*(i + 70)
Suppose -p**4/4 - 69*p**3/4 - 201*p**2/4 - 199*p/4 - 33/2 = 0. Calculate p.
-66, -1
Let -g**4/4 + 3*g**3/2 - 3*g**2 + 5*g/2 - 3/4 = 0. Calculate g.
1, 3
Solve 5*a**3/6 + 385*a**2/3 + 29645*a/6 = 0.
-77, 0
Determine q so that 7*q**4 + 135*q**3 + 31*q**2 - 135*q - 38 = 0.
-19, -1, -2/7, 1
What is h in -2*h**4/13 + 12*h**3/13 + 24*h**2/13 - 176*h/13 + 192/13 = 0?
-4, 2, 6
Suppose -3*n**3 + 390*n**2 + 3*n - 390 = 0. What is n?
-1, 1, 130
Find s, given that -93*s**4/7 - 657*s**3/7 - 1065*s**2/7 - 531*s/7 - 30/7 = 0.
-5, -1, -2/31
Determine b, given that -35*b**3 + 145*b**2 + 20*b - 160 = 0.
-1, 8/7, 4
Factor 5*l**3 + 265*l**2 + 2015*l - 43245.
5*(l - 9)*(l + 31)**2
Factor w**2/8 + 143*w/4 + 20449/8.
(w + 143)**2/8
Suppose -4*r**3/5 - 92*r**2 + 472*r/5 + 928/5 = 0. Calculate r.
-116, -1, 2
Factor r**2/4 + 641*r/2 + 410881/4.
(r + 641)**2/4
Determine z, given that 4*z**2 + 208*z + 2704 = 0.
-26
Factor 3*p**3 + 90*p**2 + 819*p + 2352.
3*(p + 7)**2*(p + 16)
Factor 2*g**2/21 + 32*g/7 - 14/3.
2*(g - 1)*(g + 49)/21
Let -50*m**5 - 445*m**4 - 820*m**3 + 415*m**2 + 720*m + 180 = 0. Calculate m.
-6, -3, -1/2, -2/5, 1
Determine h so that 8*h**5 - 220*h**4 + 2244*h**3 - 10196*h**2 + 18676*h - 7056 = 0.
1/2, 4, 7, 9
Find q such that 4*q**2/3 + 511*q/3 - 128/3 = 0.
-128, 1/4
Factor 3*y**3 - 57*y**2 - 192*y - 132.
3*(y - 22)*(y + 1)*(y + 2)
Determine z so that 3*z**4/2 + 15*z**3 + 27*z**2/2 - 78*z + 48 = 0.
-8, -4, 1
Find q, given that 2*q**5 + 10*q**4 + 12*q**3 - 8*q**2 - 16*q = 0.
-2, 0, 1
Solve 4*q**4/5 + 56*q**3/5 + 132*q**2/5 - 448*q/5 + 256/5 = 0 for q.
-8, 1
Factor 3*q**2/7 - 1137*q/7 - 1140/7.
3*(q - 380)*(q + 1)/7
Find t, given that t**5 - 129*t**4 - 142*t**3 + 1564*t**2 - 504*t - 2080 = 0.
-4, -1, 2, 130
Solve -2*a**4 - 4*a**3 + 54*a**2 + 112*a - 160 = 0 for a.
-4, 1, 5
Find k such that -9*k**3 + 182*k**2 - 616*k + 128 = 0.
2/9, 4, 16
Let -4*k**2 + 18920*k - 22372900 = 0. What is k?
2365
What is j in j**2/3 - 46*j/3 + 529/3 = 0?
23
Determine i, given that -15*i**4 + 110*i**3 - 245*i**2 + 190*i - 40 = 0.
1/3, 1, 2, 4
Factor 5*b**2 - 480*b.
5*b*(b - 96)
Factor 28*y**3 - 456*y**2 - 348*y + 136.
4*(y - 17)*(y + 1)*(7*y - 2)
Find h, given that -20*h**5 + 48*h**4 + 64*h**3 - 72*h**2 - 44*h + 24 = 0.
-1, 2/5, 1, 3
Solve 3*i**2 - 27*i - 210 = 0 for i.
-5, 14
Factor -3*x**2 + 141*x.
-3*x*(x - 47)
Factor h**4/2 + 40*h**3 + 239*h**2 - 22440*h + 314721/2.
(h - 11)**2*(h + 51)**2/2
Factor 3*k**3/7 + 228*k**2/7 - 3*k/7 - 228/7.
3*(k - 1)*(k + 1)*(k + 76)/7
Factor 5*x**2 - 20*x - 25.
5*(x - 5)*(x + 1)
Factor -h**3/2 - 55*h**2/2 - 364*h + 392.
-(h - 1)*(h + 28)**2/2
Factor 6*t**3 + 51*t**2 - 159*t + 66.
3*(t - 2)*(t + 11)*(2*t - 1)
Suppose f**5 - 13*f**4 + 49*f**3 - 7*f**2 - 230*f + 200 = 0. Calculate f.
-2, 1, 4, 5
Factor 2*a**4 - 722*a**3 + 88500*a**2 - 3870872*a + 23002448.
2*(a - 118)**3*(a - 7)
Factor 40*i**2/19 - 112*i/19 + 78/19.
2*(2*i - 3)*(10*i - 13)/19
What is l in l**4/6 + 167*l**3/6 + 82*l**2/3 - 166*l/3 = 0?
-166, -2, 0, 1
Factor 13*n**2/2 + 537*n/2 + 82.
(n + 41)*(13*n + 4)/2
Factor 5*x**3 - 30*x**2 - 35*x.
5*x*(x - 7)*(x + 1)
Determine c, given that -30*c**5/7 + 176*c**4/7 - 306*c**3/7 + 136*c**2/7 + 24*c/7 = 0.
-2/15, 0, 1, 2, 3
Factor 2*z**4 + 2*z**3 - 24*z**2 - 56*z - 32.
2*(z - 4)*(z + 1)*(z + 2)**2
Let 2*n**3/7 + 16*n**2/7 + 38*n/7 + 24/7 = 0. Calculate n.
-4, -3, -1
Factor 10*r**3/9 + 124*r**2/9 + 248*r/9 + 80/9.
2*(r + 2)*(r + 10)*(5*r + 2)/9
Solve -100*z**5 - 1640*z**4 - 404*z**3 + 3824*z**2 + 624*z - 2304 = 0.
-16, -6/5, 1
Find s, given that -s**3/2 - 25*s**2/2 + 53*s/2 - 27/2 = 0.
-27, 1
Let 2*s**4/11 + 14*s**3/11 - 6*s**2/11 - 46*s/11 - 28/11 = 0. Calculate s.
-7, -1, 2
Factor -m**2/3 + 38*m - 1083.
-(m - 57)**2/3
Factor a**2 - 302*a - 303.
(a - 303)*(a + 1)
Factor -g**3/7 + 22*g**2 - 457*g - 3354/7.
-(g - 129)*(g - 26)*(g + 1)/7
Find n, given that -9*n**5/7 + 1812*n**4/7 - 88749*n**3/7 - 247854*n**2/7 - 94860*n/7 + 62424/7 = 0.
-2, -1, 1/3, 102
Solve -45*y**5 + 519*y**4 + 915*y**3 - 687*y**2 - 702*y = 0 for y.
-9/5, -2/3, 0, 1, 13
Factor r**2 + 1334*r + 444889.
(r + 667)**2
Solve k**2/6 + 7*k/3 - 12 = 0 for k.
-18, 4
Factor -2*v**2/3 - 178*v/3.
-2*v*(v + 89)/3
What is d in -5*d**4 - 90*d**3 - 380*d**2 + 90*d + 385 = 0?
-11, -7, -1, 1
Factor 3*f**3 + 150*f**2.
3*f**2*(f + 50)
Determine n, given that 3*n**5/2 - 3*n**4/2 - 3*n**3 = 0.
-1, 0, 2
Determine f, given that 4*f**4 - 24*f**3 - 4*f**2 + 24*f = 0.
-1, 0, 1, 6
Factor -i**2/6 - 4*i.
-i*(i + 24)/6
What is q in -6*q**4 - 21*q**3 + 15*q**2 + 84*q + 36 = 0?
-3, -2, -1/2, 2
Factor 2*t**3/3 - 10*t**2/3 - 350*t + 3750.
2*(t - 15)**2*(t + 25)/3
Suppose 764*j**2 - 1536*j + 16 = 0. Calculate j.
2/191, 2
Determine h, given that -15*h**5/2 + 73*h**4/2 - 125*h**3/2 + 87*h**2/2 - 8*h - 2 = 0.
-2/15, 1, 2
Factor 3*v**2 - 42*v + 39.
3*(v - 13)*(v - 1)
Solve 5*x**3/4 - 9*x**2 + 37*x/4 + 39/2 = 0 for x.
-1, 3, 26/5
Factor m**3 + 4*m**2 + m - 6.
(m - 1)*(m + 2)*(m + 3)
Find a, given that -a**5/2 + 4*a**4 + 15*a**3/2 - 27*a**2 = 0.
-3, 0, 2, 9
Factor 54*t**3/5 - 888*t**2/5 - 534*t/5 + 408/5.
6*(t - 17)*(t + 1)*(9*t - 4)/5
Factor 5*h**2 + 40*h.
5*h*(h + 8)
Factor z**3 + 36*z**2 - 75*z + 38.
(z - 1)**2*(z + 38)
Factor 5*a**4 - 33*a**3 - 104*a**2 - 36*a.
a*(a - 9)*(a + 2)*(5*a + 2)
Let -2*i**4 - 86*i**3 - 862*i**2 - 1474*i - 696 = 0. Calculate i.
-29, -12, -1
Factor f**4/3 - 17*f**3 + 442*f**2/3 - 448*f + 1312/3.
(f - 41)*(f - 4)**2*(f - 2)/3
Find b, given that -4*b**2 - 13724*b + 27464 = 0.
-3433, 2
Find b such that 8*b**5 + 20*b**4 - 24*b**3 - 32*b**2 + 16*b + 12 = 0.
-3, -1, -1/2, 1
Suppose -g**2 + 2017*g + 2018 = 0. What is g?
-1, 2018
Solve -q**3 + q**2 + 5*q + 3 = 0 for q.
-1, 3
What is i in -i**4/5 - 1177*i**3/5 - 2351*i**2/5 - 235*i = 0?
-1175, -1, 0
Let -b**3/3 + b**2 - 2*b/3 = 0. Calculate b.
0, 1, 2
Suppose -2*x**4/11 - 2*x**3 - 16*x**2/11 + 40*x/11 = 0. What is x?
-10, -2