)*(t + 19)
Find q such that -10*q**3 - 15*q**2 + 10*q = 0.
-2, 0, 1/2
Factor 2*w**2/7 - 6*w/7 - 360/7.
2*(w - 15)*(w + 12)/7
Suppose v**4 + 48*v**3 + 46*v**2 - 48*v - 47 = 0. Calculate v.
-47, -1, 1
Find l such that -3*l**4/2 - 165*l**3/2 - 627*l**2/2 - 771*l/2 - 153 = 0.
-51, -2, -1
Let -q**5/8 - 9*q**4/8 + 17*q**3/8 + 69*q**2/8 - 2*q - 15/2 = 0. Calculate q.
-10, -2, -1, 1, 3
What is w in -3*w**5/2 + 11*w**4/6 + 8*w**3/3 - 2*w**2/3 = 0?
-1, 0, 2/9, 2
Factor -2*s**3/17 - 364*s**2/17 - 722*s/17 - 360/17.
-2*(s + 1)**2*(s + 180)/17
Find z such that -14*z**3/15 + 16*z**2/15 - 2*z/15 = 0.
0, 1/7, 1
Find w, given that 3*w**4/4 + 63*w**3/2 - 399*w**2/4 + 135*w/2 = 0.
-45, 0, 1, 2
Determine w so that 2*w**2/7 - 38*w/7 + 68/7 = 0.
2, 17
Factor 2*h**4/3 + 2*h**3/3 - 4*h**2.
2*h**2*(h - 2)*(h + 3)/3
Let -2*z**4/5 - 2*z**3/5 + 2*z**2 - 6*z/5 = 0. What is z?
-3, 0, 1
Factor g**4/3 + 64*g**3/3 - 226*g**2 - 1544*g/3 - 803/3.
(g - 11)*(g + 1)**2*(g + 73)/3
Let 2*a**4/3 - 32*a**3/3 + 52*a**2 - 224*a/3 + 98/3 = 0. What is a?
1, 7
Factor -2*d**3 + 388*d**2.
-2*d**2*(d - 194)
Determine g so that -3*g**2 - 36*g - 105 = 0.
-7, -5
Solve -4*x**2 - 336*x = 0.
-84, 0
Factor -2*o**3 + 422*o**2 - 21614*o - 68694.
-2*(o - 107)**2*(o + 3)
Factor -2*d**3/11 - 52*d**2/11 + 174*d/11.
-2*d*(d - 3)*(d + 29)/11
Factor -c**4/9 + 4*c**3/9 - 2*c**2/9 - 4*c/9 + 1/3.
-(c - 3)*(c - 1)**2*(c + 1)/9
Factor 4*a**4 + 52*a**3 - 64*a**2 - 112*a.
4*a*(a - 2)*(a + 1)*(a + 14)
Factor 2*z**2/9 - 4312*z/3 + 2324168.
2*(z - 3234)**2/9
Find z such that -3*z**5 + 4*z**4 + 13*z**3 + 6*z**2 = 0.
-1, -2/3, 0, 3
Factor -3*m**3/5 - 9*m**2 - 189*m/5 - 147/5.
-3*(m + 1)*(m + 7)**2/5
Determine a, given that -5*a**4 - 5*a**3 + 25*a**2 - 15*a = 0.
-3, 0, 1
Determine h, given that -10*h**4 + 9*h**3 + 4*h**2 - 3*h = 0.
-3/5, 0, 1/2, 1
Factor 4*f**3/5 - 116*f**2/5 + 524*f/5 + 644/5.
4*(f - 23)*(f - 7)*(f + 1)/5
Factor 2*u**3/5 + 136*u**2/5 - 422*u/5 + 284/5.
2*(u - 2)*(u - 1)*(u + 71)/5
Factor -4*h**2 - 216*h.
-4*h*(h + 54)
Suppose g**4/2 + 2*g**3 - 3*g**2/2 - 5*g + 4 = 0. What is g?
-4, -2, 1
Suppose -r**3 + 6*r**2 + 231*r - 1936 = 0. Calculate r.
-16, 11
Factor f**5/3 + 5*f**4/3 + 7*f**3/3 + f**2.
f**2*(f + 1)**2*(f + 3)/3
Solve r**2 + 94*r = 0.
-94, 0
Solve 3*h**5/7 - 9*h**4/7 - 27*h**3/7 + 69*h**2/7 + 72*h/7 - 108/7 = 0 for h.
-2, 1, 3
Factor 5*j**5 - 75*j**4 + 240*j**3 + 320*j**2.
5*j**2*(j - 8)**2*(j + 1)
Suppose p**3 + 4*p**2 + 3*p = 0. What is p?
-3, -1, 0
Determine v so that v**5/2 - 9*v**4/2 + 7*v**3 + 17*v**2 - 15*v/2 - 25/2 = 0.
-1, 1, 5
Solve -3*a**3/4 - 45*a**2/4 - 225*a/4 - 375/4 = 0.
-5
Factor 5*x**2 - 1150*x + 3405.
5*(x - 227)*(x - 3)
Let 15*h**5 - 610*h**4 + 925*h**3 + 2050*h**2 - 3940*h + 1560 = 0. Calculate h.
-2, 2/3, 1, 2, 39
Factor 2*n**3/13 + 1730*n**2/13.
2*n**2*(n + 865)/13
Determine f so that 10*f**5 - 14*f**4 + 4*f**3 = 0.
0, 2/5, 1
Factor z**2/8 - 11*z/4.
z*(z - 22)/8
Factor 3*g**2/4 - 15*g/2.
3*g*(g - 10)/4
Factor 2*k**2 - 164*k - 336.
2*(k - 84)*(k + 2)
Find g such that -g**5/2 + 5*g**4/2 - g**3 - 7*g**2 + 3*g/2 + 9/2 = 0.
-1, 1, 3
Factor 2*g**3/3 - 4*g**2 + 10*g/3.
2*g*(g - 5)*(g - 1)/3
Suppose -v**5/10 - 3*v**4/2 - 43*v**3/5 - 117*v**2/5 - 297*v/10 - 27/2 = 0. What is v?
-5, -3, -1
Let -2*x**3 + 94*x**2 - 510*x + 738 = 0. Calculate x.
3, 41
Factor g**3/7 + 3*g**2/7 - 10*g/7.
g*(g - 2)*(g + 5)/7
Factor 2*m**3/3 + 4*m**2 - 32*m/3.
2*m*(m - 2)*(m + 8)/3
Factor 12*i**3/5 - 15*i**2 - 174*i/5 + 48/5.
3*(i - 8)*(i + 2)*(4*i - 1)/5
Let -2*t**3/19 + 2*t**2 + 84*t/19 = 0. Calculate t.
-2, 0, 21
Factor -5*g**3 - 1515*g**2 - 117000*g - 337500.
-5*(g + 3)*(g + 150)**2
Solve 9*a**5 - 51*a**4 - 27*a**3 + 51*a**2 + 18*a = 0 for a.
-1, -1/3, 0, 1, 6
What is z in -135*z**4 - 57*z**3 + 102*z**2 + 24*z = 0?
-1, -2/9, 0, 4/5
Suppose -n**5/2 + 93*n**4/2 - 2459*n**3/2 + 13615*n**2/2 - 6708*n - 14792 = 0. What is n?
-1, 4, 43
Factor 5*w**2 + 520*w + 13520.
5*(w + 52)**2
Factor -2*u**2/13 - 2452*u/13 - 2450/13.
-2*(u + 1)*(u + 1225)/13
Let -5*s**3/4 + 79*s**2/2 + 229*s/4 + 33/2 = 0. What is s?
-1, -2/5, 33
Find k, given that 8*k**3 + 18*k**2 + 12*k + 2 = 0.
-1, -1/4
Suppose -5*b**2 + 310*b - 600 = 0. What is b?
2, 60
What is k in 2*k**3 + 45*k**2/2 - 229*k/2 - 30 = 0?
-15, -1/4, 4
Factor -11*y**3/4 + 15*y**2/2 - 4*y.
-y*(y - 2)*(11*y - 8)/4
Factor a**4/6 + 2*a**3/3 - 19*a**2/6 + 7*a/3.
a*(a - 2)*(a - 1)*(a + 7)/6
What is m in 3*m**4 + 156*m**3 - 177*m**2 - 954*m = 0?
-53, -2, 0, 3
Factor -2*i**5/5 + 16*i**4 - 1092*i**3/5 + 5408*i**2/5 - 4394*i/5.
-2*i*(i - 13)**3*(i - 1)/5
Suppose c**4 - 58*c**3 + 449*c**2 - 392*c = 0. Calculate c.
0, 1, 8, 49
Factor u**2/4 - 7*u/2.
u*(u - 14)/4
Factor -5*q**2 + 1810*q - 1805.
-5*(q - 361)*(q - 1)
Factor 5*f**4 - 50*f**3 + 140*f**2 - 120*f.
5*f*(f - 6)*(f - 2)**2
Determine m, given that m**2/8 - 5*m/4 + 2 = 0.
2, 8
Determine y so that y**4 - 1260*y**3 - 2525*y**2 + 1260*y + 2524 = 0.
-2, -1, 1, 1262
Factor -5*c**2/11 - 149*c/11 - 116/11.
-(c + 29)*(5*c + 4)/11
Factor x**4 + 8*x**3 + 9*x**2 - 18*x.
x*(x - 1)*(x + 3)*(x + 6)
Let -2*b**3/3 + 8*b**2/3 + 2*b/3 - 8/3 = 0. What is b?
-1, 1, 4
Factor -j**4/8 + 37*j**3/8 - 345*j**2/8 + 1175*j/8 - 625/4.
-(j - 25)*(j - 5)**2*(j - 2)/8
What is y in 2*y**2/15 - 2*y/5 = 0?
0, 3
Factor 3*b**4 + 984*b**3 + 79698*b**2 - 162360*b + 81675.
3*(b - 1)**2*(b + 165)**2
Let 2*j**3/7 + 16*j**2/7 - 18*j/7 - 144/7 = 0. What is j?
-8, -3, 3
Factor -t**2/3 + 370*t/3 - 34225/3.
-(t - 185)**2/3
Determine c, given that c**5/4 - c**4/2 + c**2/2 - c/4 = 0.
-1, 0, 1
Suppose 4*s**4/5 + 12*s**3/5 - 72*s**2/5 - 128*s/5 + 384/5 = 0. Calculate s.
-4, 2, 3
Factor -3*d**2 + 255*d - 498.
-3*(d - 83)*(d - 2)
Factor -5*k**4 - 25*k**3 + 270*k**2 - 620*k + 440.
-5*(k - 2)**3*(k + 11)
Factor -l**3 - 6*l**2 + 16*l.
-l*(l - 2)*(l + 8)
Let -4*x**2 - 1456*x - 132496 = 0. What is x?
-182
Factor -3*c**3 - 630*c**2 + 1911*c - 1278.
-3*(c - 2)*(c - 1)*(c + 213)
Let 2*l**3 + 70*l**2 - 474*l + 738 = 0. What is l?
-41, 3
Factor -g**2/2 - 167*g - 27889/2.
-(g + 167)**2/2
Find f such that f**3 + 21*f**2 - 126*f + 104 = 0.
-26, 1, 4
Determine d, given that 2*d**5 - 10*d**4 - 26*d**3 - 14*d**2 = 0.
-1, 0, 7
Find r such that -r**5/2 + 379*r**4/2 - 35715*r**3/2 - 38003*r**2/2 + 90820*r - 54150 = 0.
-3, 1, 190
Suppose 12*o**2 - 226*o - 38 = 0. Calculate o.
-1/6, 19
Factor s**2/10 + 302*s/5 - 1216/5.
(s - 4)*(s + 608)/10
Let -n**2 - 9*n - 14 = 0. Calculate n.
-7, -2
Find f, given that 2*f**3 + 20*f**2 - 22*f = 0.
-11, 0, 1
Let 2*b**3/11 + 238*b**2/11 + 470*b/11 + 234/11 = 0. What is b?
-117, -1
Factor 2*l**2 + 1238*l - 1240.
2*(l - 1)*(l + 620)
Factor -5*n**2 + 4605*n + 9230.
-5*(n - 923)*(n + 2)
Find a, given that 4*a**4 - 12*a**3 + 4*a**2 + 12*a - 8 = 0.
-1, 1, 2
Factor g**4 + 103*g**3 - 315*g**2 + 317*g - 106.
(g - 1)**3*(g + 106)
Solve -49*b**4/6 - 175*b**3/3 - 43*b**2/6 + 7*b = 0 for b.
-7, -3/7, 0, 2/7
Find d such that -9*d**5/2 + 6*d**4 + 28*d**3 - 11*d**2 - 31*d/2 - 3 = 0.
-2, -1/3, 1, 3
Factor 2*u**3/9 + 4*u**2/9 - 56*u/3 - 80.
2*(u - 10)*(u + 6)**2/9
Factor 2*b**2 - 18*b.
2*b*(b - 9)
Let 2*b**3 + 112*b**2 - 118*b - 228 = 0. Calculate b.
-57, -1, 2
Solve -4*l**2 - 396*l - 2232 = 0 for l.
-93, -6
Solve -4*g**2 + 1312*g + 2640 = 0.
-2, 330
Determine j so that 3*j**2/2 - 12*j + 45/2 = 0.
3, 5
Factor 2*a**2/5 + 2012*a/5 + 506018/5.
2*(a + 503)**2/5
Factor 4*v**3 - 56*v**2 + 176*v - 160.
4*(v - 10)*(v - 2)**2
Factor 5*h**2 - 450*h + 10125.
5*(h - 45)**2
Let h**3/6 + 19*h**2/6 + 33*h/2 + 27/2 = 0. What is h?
-9, -1
Solve 4*t**3/5 - 188*t**2/5 - 4*t/5 + 188/5 = 0.
-1, 1, 47
Determine q, given that 2*q**3 + 58*q**2 + 110*q + 54 = 0.
-27, -1
Solve 4*g**3 - 1212*g**2 - 2436*g - 1220 = 0.
-1, 305
Find q such that -q**5 + 11*q**4 + 12*q**3 = 0.
-1, 0, 12
Suppose -j**3/2 + 26*j**2 - 45*j/2 - 153 = 0. Calculate j.
-2, 3, 51
What is y in 4*y**4 + 24*y**3 - 80*y**2 - 600*y - 500 = 0?
-5, -1, 5
Suppose 15*r**5 - 200*r**4 + 125*r**3 + 1600*r**2 - 2700*r + 720 = 0. What is r?
-3, 1/3, 2, 12
Let 8*z**2 + 398*z - 100 = 0. What is z?
-50, 1/4
What is n in -3*n**3/4 + 1537*n**2/4 + 513*n/2 = 0?
-2/3, 0, 513
Let 2*d**4/7 - 48*d**3/7 + 130*d**2/7 - 12*d = 0. What is d?
0, 1, 2, 21
Factor 28*x**4 + 2*x**3 - 28*x**2 - 2*x.
2*x*(x - 1)*(x + 1)*(14*x + 1)
Suppose -2*i**3 + 12*i**2 + 30*i + 16 = 0