c**2 - c/2 - 2 = 0. Calculate c.
-4/9, 1
Find y, given that -4*y**4 + 20*y**3 - 4*y**2 - 84*y + 72 = 0.
-2, 1, 3
Factor -a**3/4 - 4*a**2 + 19*a - 20.
-(a - 2)**2*(a + 20)/4
Factor r**5/9 + 4*r**4/9 + 4*r**3/9 - 2*r**2/9 - 5*r/9 - 2/9.
(r - 1)*(r + 1)**3*(r + 2)/9
What is y in 27*y**2 - 15369*y + 3414 = 0?
2/9, 569
Find a, given that 2*a**3/3 - 314*a**2/3 + 4160*a - 4056 = 0.
1, 78
Solve 5*h**3 + 15*h**2 - 5*h - 15 = 0 for h.
-3, -1, 1
Let 12*j**5/11 - 38*j**4/11 + 18*j**3/11 + 34*j**2/11 - 30*j/11 + 4/11 = 0. What is j?
-1, 1/6, 1, 2
Factor 3*m**4 + 36*m**3 + 126*m**2 + 156*m + 63.
3*(m + 1)**2*(m + 3)*(m + 7)
Factor -5*q**4 - 110*q**3 - 205*q**2 - 100*q.
-5*q*(q + 1)**2*(q + 20)
Factor 5*f**3 + 315*f**2 + 5400*f + 13500.
5*(f + 3)*(f + 30)**2
Solve r**5/4 + 9*r**4/4 + 13*r**3/2 + 6*r**2 = 0 for r.
-4, -3, -2, 0
What is y in -3*y**3 - 6*y**2 + 45*y + 108 = 0?
-3, 4
Factor 12*w**4 - 105*w**3 + 264*w**2 - 144*w.
3*w*(w - 4)**2*(4*w - 3)
Solve y**3/3 - 5*y**2/3 - 8*y/3 + 16 = 0.
-3, 4
Factor -5*g**5 + 75*g**4 - 400*g**3 + 800*g**2 - 1280.
-5*(g - 4)**4*(g + 1)
Find y, given that -y**3/2 - 11*y**2/2 - 5*y = 0.
-10, -1, 0
Suppose 3*z**4 - 6*z**3 - 9*z**2 + 24*z - 12 = 0. Calculate z.
-2, 1, 2
Factor 4*l**4 - 128*l**3 - 408*l**2 - 416*l - 140.
4*(l - 35)*(l + 1)**3
Determine a so that -2*a**4/3 + 14*a**3/3 - 8*a**2 = 0.
0, 3, 4
Factor 20*z**2 + 218*z - 22.
2*(z + 11)*(10*z - 1)
Let 2*h**3/3 + 22*h**2 + 172*h/3 - 80 = 0. What is h?
-30, -4, 1
Solve -l**3/6 + 3*l**2/2 + 23*l/3 - 44 = 0 for l.
-6, 4, 11
Solve -3*q**3/2 - 39*q**2 + 747*q/2 + 891 = 0.
-33, -2, 9
Find h such that -12*h**4 - 16*h**3 + 52*h**2 - 24*h = 0.
-3, 0, 2/3, 1
What is l in -3*l**5/8 + 3*l**4/8 + 9*l**3/8 - 15*l**2/8 + 3*l/4 = 0?
-2, 0, 1
Factor 3*i**5 - 9*i**4 - 12*i**3 + 48*i**2 - 48.
3*(i - 2)**3*(i + 1)*(i + 2)
Factor 3*x**4 + 57*x**3 - 495*x**2 - 1149*x - 600.
3*(x - 8)*(x + 1)**2*(x + 25)
Let -16*l**4/3 - 940*l**3/3 + 4204*l**2/3 - 5024*l/3 + 336 = 0. Calculate l.
-63, 1/4, 2
Find c, given that 5*c**5 + 85*c**4 + 510*c**3 + 1150*c**2 + 125*c - 1875 = 0.
-5, -3, 1
Determine d so that 15*d**2 - 1734*d - 696 = 0.
-2/5, 116
Factor -2*r**5/5 + 16*r**4/5 - 24*r**3/5.
-2*r**3*(r - 6)*(r - 2)/5
Suppose 44*a**3 + 11524*a**2 + 754036*a - 68644 = 0. What is a?
-131, 1/11
Let 6*g**4 - 322*g**3 + 4266*g**2 + 1458*g = 0. What is g?
-1/3, 0, 27
Factor 10*m**3/9 - 8*m**2/3 + 14*m/9.
2*m*(m - 1)*(5*m - 7)/9
Factor 3*j**5/2 - 9*j**3/2 + 3*j**2.
3*j**2*(j - 1)**2*(j + 2)/2
Factor 4*k**4 + 124*k**3 + 1320*k**2 + 5200*k + 4000.
4*(k + 1)*(k + 10)**3
Factor 2*y**3/5 - 366*y**2/5 + 22326*y/5 - 453962/5.
2*(y - 61)**3/5
Find w, given that -10*w**4/7 - 104*w**3/7 + 330*w**2/7 - 16*w - 104/7 = 0.
-13, -2/5, 1, 2
Let -16*q**5 - 116*q**4 + 100*q**3 + 32*q**2 = 0. Calculate q.
-8, -1/4, 0, 1
Solve -6*p**2 - 27*p + 15 = 0.
-5, 1/2
Solve -2*c**3/13 - 6*c**2/13 + 48*c/13 - 56/13 = 0.
-7, 2
Let 2*g**4/9 + 134*g**3/9 + 2362*g**2/9 + 4330*g/9 + 700/3 = 0. What is g?
-35, -30, -1
Solve -2*k**2/3 - 2*k/3 + 4/3 = 0 for k.
-2, 1
Factor -n**2/6 - 11*n/6 - 3.
-(n + 2)*(n + 9)/6
Factor 2*i**2/9 - 10*i/3 + 52/9.
2*(i - 13)*(i - 2)/9
Factor 2*b**4/3 - 11*b**3/3 + 17*b**2/3 - 2*b.
b*(b - 3)*(b - 2)*(2*b - 1)/3
Factor -3*u**4 + 174*u**3 - 2343*u**2 - 5220*u - 2700.
-3*(u - 30)**2*(u + 1)**2
Let 88*x**5/7 - 50*x**4 - 118*x**3/7 + 986*x**2/7 + 486*x/7 - 180/7 = 0. Calculate x.
-1, 1/4, 30/11, 3
Determine u, given that 14*u**2/9 + 10*u/9 - 52/3 = 0.
-26/7, 3
Factor c**5 + 7*c**4 - 11*c**3 - 19*c**2 + 38*c - 16.
(c - 1)**3*(c + 2)*(c + 8)
Factor 2*i**3 - 16*i**2 + 26*i - 12.
2*(i - 6)*(i - 1)**2
Factor -c**3 + 453*c**2 - 50616*c - 155952.
-(c - 228)**2*(c + 3)
Suppose -p**5/2 - 23*p**4 - 585*p**3/2 - 1134*p**2 = 0. Calculate p.
-28, -9, 0
Suppose 924*v**3 - 3376*v**2 + 1804*v + 24 = 0. Calculate v.
-1/77, 2/3, 3
Factor 3*n**4 - 9*n**2 - 6*n.
3*n*(n - 2)*(n + 1)**2
Determine u so that 2*u**4 - 84*u**3 - 458*u**2 - 564*u = 0.
-3, -2, 0, 47
Determine w so that 3*w**2/4 + 21*w/4 = 0.
-7, 0
Solve -k**4/3 + 4*k**3 + 9*k**2 + 14*k/3 = 0.
-1, 0, 14
Let 2*o**5/13 + 18*o**4/13 - 132*o**3/13 + 112*o**2/13 = 0. What is o?
-14, 0, 1, 4
Solve 2*r**5/9 + 8*r**4/3 + 32*r**3/3 + 164*r**2/9 + 14*r + 4 = 0.
-6, -3, -1
Factor -x**5/2 - x**4 + 76*x**3 - 496*x**2 + 1216*x - 1024.
-(x - 4)**3*(x - 2)*(x + 16)/2
Factor 18*h**2/7 - 192*h/7 + 512/7.
2*(3*h - 16)**2/7
Factor 3*b**3 - 57*b**2.
3*b**2*(b - 19)
Determine d so that 5*d**2 - 435*d + 850 = 0.
2, 85
Solve 22*f**3 + 980*f**2/3 - 814*f - 476/3 = 0.
-17, -2/11, 7/3
Factor -5*u**2 + 70*u.
-5*u*(u - 14)
Determine a so that -6*a**5 - 63*a**4 + 477*a**3 - 798*a**2 + 288*a = 0.
-16, 0, 1/2, 2, 3
Let -5*z**4 + 21*z**3 + 101*z**2 - 21*z = 0. Calculate z.
-3, 0, 1/5, 7
Factor -9*o**3 - 213*o**2 - 516*o - 252.
-3*(o + 2)*(o + 21)*(3*o + 2)
Determine v so that -v**2/3 - 34*v/3 - 11 = 0.
-33, -1
Suppose -u**4/7 - 10*u**3/7 + 3*u**2/7 + 32*u/7 + 20/7 = 0. Calculate u.
-10, -1, 2
Factor -4*w**2 + 76*w + 80.
-4*(w - 20)*(w + 1)
Factor 3*c**2 - 3888*c + 1259712.
3*(c - 648)**2
Let 3*o**3 + 4809*o**2 + 19200*o + 19188 = 0. Calculate o.
-1599, -2
Factor 12*w**3 + 400*w**2 - 276*w - 136.
4*(w - 1)*(w + 34)*(3*w + 1)
Solve -b**5 - 5*b**4 + 3*b**3 + 45*b**2 + 54*b = 0.
-3, -2, 0, 3
Let -m**4 + 30*m**3 - 193*m**2 - 480*m - 256 = 0. What is m?
-1, 16
Suppose -2*h**4 + 1308*h**3 - 209898*h**2 - 1294920*h - 1960200 = 0. Calculate h.
-3, 330
Factor q**2/3 - 32*q + 768.
(q - 48)**2/3
Factor -2*z**2 + 30*z - 28.
-2*(z - 14)*(z - 1)
Factor -2*m**3 + 1246*m**2 - 1244*m.
-2*m*(m - 622)*(m - 1)
Suppose -3*y**3 - 42*y**2 - 96*y + 384 = 0. What is y?
-8, 2
Find m, given that -25*m**5 - 330*m**4 + 35*m**3 + 1320*m**2 + 260*m = 0.
-13, -2, -1/5, 0, 2
Factor 4*k**4 + 8*k**3 - 12*k**2 - 32*k - 16.
4*(k - 2)*(k + 1)**2*(k + 2)
Factor 4*q**2 - 268*q - 1440.
4*(q - 72)*(q + 5)
Factor d**2/3 - 35*d/3.
d*(d - 35)/3
Suppose -4*s**3/7 - 164*s**2/7 - 312*s/7 = 0. Calculate s.
-39, -2, 0
Suppose -3*b**5 + 48*b**4 + 108*b**3 = 0. Calculate b.
-2, 0, 18
Let a**2/4 + 155*a/4 - 157/2 = 0. What is a?
-157, 2
Factor 2*f**2/9 - 8*f/3 - 56/9.
2*(f - 14)*(f + 2)/9
Factor -3*s**2/4 - 3171*s/4.
-3*s*(s + 1057)/4
Find k such that 28*k**2/5 - 258*k/5 + 122/5 = 0.
1/2, 61/7
Find p, given that 4*p**2 + 108*p = 0.
-27, 0
Factor 81*b**2/2 + 18*b + 2.
(9*b + 2)**2/2
Factor 5*x**2 - 200*x + 195.
5*(x - 39)*(x - 1)
Factor z**3 - 37*z**2 + 104*z - 68.
(z - 34)*(z - 2)*(z - 1)
Factor z**2 + 32*z.
z*(z + 32)
Suppose 3*q**3 + 21*q**2/8 - 3*q/8 = 0. What is q?
-1, 0, 1/8
Let -n**5/9 - 7*n**4/9 - 5*n**3/9 + 7*n**2/9 + 2*n/3 = 0. Calculate n.
-6, -1, 0, 1
Let 4*f**4 - 336*f**3 - 4104*f**2 - 7184*f - 3420 = 0. What is f?
-9, -1, 95
Determine f so that -f**2/2 + 39*f/2 - 19 = 0.
1, 38
Solve -2*i**2 + 2*i + 24 = 0.
-3, 4
Find x such that -4*x**2 + 7188*x + 7192 = 0.
-1, 1798
Let 2*p**2/5 - 282*p/5 + 56 = 0. Calculate p.
1, 140
Determine j, given that 18*j**3 + 102*j**2 - 160*j + 56 = 0.
-7, 2/3
Suppose -3*m**3/7 - 6*m**2/7 + 72*m/7 = 0. What is m?
-6, 0, 4
Factor 2*k**2/7 - 8292*k/7 + 8594658/7.
2*(k - 2073)**2/7
Let 25290005*c**2 - 44980*c + 20 = 0. What is c?
2/2249
Determine j, given that 4*j**2 - 4360*j = 0.
0, 1090
Solve 2*g**4/9 - 14*g**3/9 + 22*g**2/9 - 10*g/9 = 0.
0, 1, 5
Let 3*x**4 + 18*x**3 + 39*x**2 + 36*x + 12 = 0. What is x?
-2, -1
Factor -4*d**3 + 34*d**2 - 22*d - 60.
-2*(d - 2)*(d + 1)*(2*d - 15)
Let -3*r**2 + 849*r + 852 = 0. Calculate r.
-1, 284
Factor 2*w**4 + 238*w**3 + 2028*w**2 + 5312*w + 3520.
2*(w + 1)*(w + 4)**2*(w + 110)
Solve 3*x**5 + 21*x**4 - 54*x**3 - 282*x**2 + 627*x - 315 = 0.
-7, -5, 1, 3
Factor 15*d**4 - 54*d**3 - 99*d**2 - 30*d.
3*d*(d - 5)*(d + 1)*(5*d + 2)
Find u such that -u**3/6 + u**2/3 + 13*u/2 + 12 = 0.
-3, 8
Suppose 4*t**2/7 + 60*t/7 + 8 = 0. What is t?
-14, -1
Suppose 2*f**2/13 - 3106*f/13 - 6220/13 = 0. Calculate f.
-2, 1555
Suppose 5*a**5/4 + 10*a**4 + 45*a**3/4 - 45*a**2/2 = 0. What is a?
-6, -3, 0, 1
Factor -5*g**2 + 675*g - 3870.
-5*(g - 129)*(g - 6)
Factor -6*g**3/13 + 40*g**2/13 + 64*g/13.
-2*g*(g - 8)*(3*g + 4)/13
What is o in -3*o**2/2 + 123*o - 5043/2 = 0?
41
Solve 2*i**4 - 34*i**3 - 596*i**2 - 560*i = 0 for i.
-10, -1, 0, 28
Suppose 2*x**5 + 56*x**4 + 386*x**3 - 172*x**2 - 1288*x - 784 = 0. What is x?
-14, -1, 2