c**2 + 9*c = 0.
-1, 0, 3/5
Let -20*d**5 - 15*d**4 + 5*d**3 = 0. What is d?
-1, 0, 1/4
Factor 4*b**3/5 - 2304*b**2/5.
4*b**2*(b - 576)/5
Factor 2*n**3/11 + 2*n**2/11.
2*n**2*(n + 1)/11
Factor r**5/5 + 7*r**4/5 + 4*r**3/5 - 12*r**2/5.
r**2*(r - 1)*(r + 2)*(r + 6)/5
Solve 170368*x**5 - 170016*x**4 - 1877918*x**3/11 + 1870174*x**2/11 + 3870*x/11 + 2/11 = 0 for x.
-1, -1/968, 1
Suppose d**2/8 - 223*d + 99458 = 0. What is d?
892
Factor -d**5 + 4*d**4 - 3*d**3.
-d**3*(d - 3)*(d - 1)
Solve -2*v**4/3 + 8*v**3 - 86*v**2/3 + 16*v + 160/3 = 0 for v.
-1, 4, 5
Determine u, given that 5*u**4 + 5*u**3 - 35*u**2 - 65*u - 30 = 0.
-2, -1, 3
Factor 5*n**2 - 250*n + 3125.
5*(n - 25)**2
What is v in -3*v**2 + 267*v - 1020 = 0?
4, 85
Let -4*a**3 - 56*a**2 - 52*a = 0. What is a?
-13, -1, 0
Let 5*p**3 - 890*p**2 + 3495*p - 2610 = 0. What is p?
1, 3, 174
Factor -z**2/6 - 1091*z/6 - 545/3.
-(z + 1)*(z + 1090)/6
Find m, given that -50*m**5/7 + 260*m**4/7 + 1182*m**3/7 - 56*m**2 - 808*m/7 - 192/7 = 0.
-3, -2/5, 1, 8
Factor 5*i**4 + 40*i**3.
5*i**3*(i + 8)
Determine l so that -2*l**2/9 + 2146*l/9 - 476 = 0.
2, 1071
Factor n**4/3 - 4*n**3/3 + 16*n/3 - 16/3.
(n - 2)**3*(n + 2)/3
Determine m so that 2*m**2/5 - 66*m/5 + 432/5 = 0.
9, 24
What is q in 2*q**5/3 - 8*q**4/3 - 2*q**3 + 20*q**2/3 + 16*q/3 = 0?
-1, 0, 2, 4
Factor -d**5/3 - 94*d**4/3 - 1573*d**3/3 + 9964*d**2 - 33708*d.
-d*(d - 6)**2*(d + 53)**2/3
Factor -4*k**2 - 5928*k - 2196324.
-4*(k + 741)**2
Let 2*r**2/5 + 812*r/5 + 82418/5 = 0. Calculate r.
-203
Determine r so that r**3/5 - 16*r**2/5 + 64*r/5 = 0.
0, 8
Solve -2*o**2 - 110*o - 108 = 0 for o.
-54, -1
Factor 2*q**3 + 4*q**2 - 58*q - 60.
2*(q - 5)*(q + 1)*(q + 6)
Factor -d**3 + 2*d**2.
-d**2*(d - 2)
Determine h so that 3*h**5/2 - 18*h**4 - 87*h**3/2 + 18*h**2 + 42*h = 0.
-2, -1, 0, 1, 14
Factor 54*k**3/7 + 288*k**2/7 - 30*k + 36/7.
6*(k + 6)*(3*k - 1)**2/7
Factor 2*g**2 + 1664*g + 346112.
2*(g + 416)**2
Find w, given that 5*w**4 - 55*w**3 - 870*w**2 - 680*w + 1600 = 0.
-8, -2, 1, 20
What is o in -2*o**3 + 16*o**2 - 34*o + 20 = 0?
1, 2, 5
Suppose -a**3 - 2*a**2 = 0. What is a?
-2, 0
Factor 2*u**4 - 230*u**3.
2*u**3*(u - 115)
Find c such that 2*c**3 - 172*c**2 + 338*c - 168 = 0.
1, 84
Factor m**4 - 3*m**3/5 - 2*m**2/5.
m**2*(m - 1)*(5*m + 2)/5
Factor -2*j**5 - 674*j**4 - 85344*j**3 - 4826304*j**2 - 104315904*j - 99574272.
-2*(j + 1)*(j + 84)**4
Factor -4*o**2 - 1240*o + 2496.
-4*(o - 2)*(o + 312)
Determine u so that -u**4/4 - u**3 + 5*u**2/4 + 9*u + 9 = 0.
-3, -2, 3
Factor -v**3 - 11*v**2 + 25*v - 13.
-(v - 1)**2*(v + 13)
Factor -4*w**2/5 + 5664*w/5.
-4*w*(w - 1416)/5
Let 4*a**2 + 720*a + 32400 = 0. What is a?
-90
Factor -21*z**3 + 132*z**2 + 111*z - 42.
-3*(z - 7)*(z + 1)*(7*z - 2)
Factor -94*g**4 - 2064*g**3 - 11286*g**2 + 484*g.
-2*g*(g + 11)**2*(47*g - 2)
Factor c**2 + 31*c + 84.
(c + 3)*(c + 28)
Factor -4*z**3 + 180*z**2 - 1064*z.
-4*z*(z - 38)*(z - 7)
Suppose -5*l**5/6 + 1390*l**4/3 - 386405*l**3/6 - 4165*l**2/3 + 576850*l/3 + 386420/3 = 0. Calculate l.
-1, 2, 278
Let 3*g**3/10 - 14*g**2/5 + 33*g/10 - 4/5 = 0. What is g?
1/3, 1, 8
Suppose -75*v**5/7 + 15*v**4/7 + 48*v**3/7 + 12*v**2/7 = 0. Calculate v.
-2/5, 0, 1
Suppose 2*g**2 - 78*g = 0. Calculate g.
0, 39
Find d such that -3*d**4/2 + 315*d**3/2 + 159*d**2 = 0.
-1, 0, 106
Find q, given that -7*q**5/6 - 103*q**4/3 + 184*q**3/3 + 141*q**2 + 93*q/2 = 0.
-31, -1, -3/7, 0, 3
Factor 4*l**2 + 1216*l.
4*l*(l + 304)
Let 4*j**5 - 88*j**4 - 508*j**3 - 848*j**2 - 432*j = 0. Calculate j.
-2, -1, 0, 27
Factor -2*n**3 - 4*n**2 + 48*n.
-2*n*(n - 4)*(n + 6)
Find y, given that -y**4/4 + 1451*y**3/2 - 2108301*y**2/4 + 1051975*y - 525625 = 0.
1, 1450
Factor -3*j**2 + 672*j - 4557.
-3*(j - 217)*(j - 7)
Factor -2*o**2/9 + 14*o/9 - 4/3.
-2*(o - 6)*(o - 1)/9
Factor 2*x**3/7 - 38*x**2 + 1040*x/7 - 1032/7.
2*(x - 129)*(x - 2)**2/7
Let 3*d**5/4 - 3*d**4/2 - 3*d**3/4 + 3*d**2/2 = 0. What is d?
-1, 0, 1, 2
Find y such that -y**3 + 16*y**2 - 48*y = 0.
0, 4, 12
Let -2*i**5/7 + 26*i**4/7 + 4*i**3 = 0. What is i?
-1, 0, 14
Find j such that -4*j**5 + 76*j**4 + 32*j**3 - 608*j**2 - 64*j + 1216 = 0.
-2, 2, 19
Let 3*s**5/2 - 7*s**4/2 + 3*s**3/2 + 3*s**2/2 - s = 0. What is s?
-2/3, 0, 1
Factor 2*k**3/9 - 16*k**2/9 + 34*k/9 - 20/9.
2*(k - 5)*(k - 2)*(k - 1)/9
Suppose 5*n**2 + 210*n + 400 = 0. What is n?
-40, -2
Find p, given that -32*p**2 - 84*p - 40 = 0.
-2, -5/8
Suppose 4*u**3/9 + 308*u**2/9 + 200*u/3 = 0. What is u?
-75, -2, 0
Factor -b**3/6 + b**2/6 + 2*b.
-b*(b - 4)*(b + 3)/6
Determine u, given that -4*u**4 - 648*u**3 + 3312*u**2 - 4664*u + 2004 = 0.
-167, 1, 3
Find v such that 5*v**5 + 75*v**4 - 355*v**3 + 465*v**2 - 190*v = 0.
-19, 0, 1, 2
Determine r so that r**3/6 + 55*r**2/6 + 26*r/3 - 18 = 0.
-54, -2, 1
What is t in 2*t**3 + 38*t**2 - 176*t + 184 = 0?
-23, 2
Factor 4*u**2/7 - 16*u - 116/7.
4*(u - 29)*(u + 1)/7
Solve -20*y**4 - 75*y**3 + 20*y**2 = 0.
-4, 0, 1/4
Let 8*a**4/3 - 14*a**3/3 + 2*a**2 = 0. What is a?
0, 3/4, 1
What is t in -5*t**4 - 70*t**3 - 320*t**2 - 570*t - 315 = 0?
-7, -3, -1
What is y in y**3/2 + 130*y**2 - 262*y = 0?
-262, 0, 2
Solve -3*b**2 - 972*b + 975 = 0.
-325, 1
Determine b so that b**2/4 + 9*b/2 = 0.
-18, 0
Find n such that 2*n**5/11 + 4*n**4/11 - 214*n**3/11 + 904*n**2/11 - 544*n/11 - 1664/11 = 0.
-13, -1, 4
Determine o, given that 2*o**3/13 - 576*o**2/13 + 41472*o/13 = 0.
0, 144
Solve -69*z**3 + 132*z**2 + 12*z = 0.
-2/23, 0, 2
What is u in 2*u**3/7 - 404*u**2 + 1210*u - 5644/7 = 0?
1, 2, 1411
Factor s**3 - 92*s**2 - 380*s - 384.
(s - 96)*(s + 2)**2
What is q in 4*q**3 + 60*q**2 - 900*q - 13500 = 0?
-15, 15
Let -6*o**5/5 - 18*o**4/5 + 78*o**3/5 + 18*o**2 = 0. Calculate o.
-5, -1, 0, 3
Factor -20*y**3/3 + 576*y**2 - 12556*y + 14792/3.
-4*(y - 43)**2*(5*y - 2)/3
Solve 2*v**3/3 + 4*v**2/3 - 16*v/3 = 0 for v.
-4, 0, 2
Solve -5*i**4 - 390*i**3 + 5*i**2 + 390*i = 0.
-78, -1, 0, 1
Factor 3*a**4 - 1725*a**3 + 247104*a**2 + 248832*a.
3*a*(a - 288)**2*(a + 1)
Suppose -12*d**4 - 40*d**3 - 12*d**2 = 0. Calculate d.
-3, -1/3, 0
Factor l**4/8 + 10*l**3 + 200*l**2.
l**2*(l + 40)**2/8
Find c, given that -c**5/7 + 180*c**4/7 - 8277*c**3/7 + 15842*c**2/7 = 0.
0, 2, 89
Factor -m**4/4 + 5*m**3/4 + 3*m**2/4 - 17*m/4 + 5/2.
-(m - 5)*(m - 1)**2*(m + 2)/4
Let -4*r**5 + 52*r**4 + 912*r**3 + 3392*r**2 + 1792*r - 6144 = 0. Calculate r.
-4, 1, 24
Factor 2*d**5/9 - 8*d**4 + 968*d**3/9 - 640*d**2 + 12800*d/9.
2*d*(d - 10)**2*(d - 8)**2/9
Suppose -l**3/8 - 3*l**2/8 + l/2 = 0. What is l?
-4, 0, 1
Determine z so that -2*z**2 + 60*z + 198 = 0.
-3, 33
Factor -12*h**3 - 8*h**2.
-4*h**2*(3*h + 2)
Factor -63*j**2 - 127*j - 2.
-(j + 2)*(63*j + 1)
Factor -2*f**2 + 138*f - 756.
-2*(f - 63)*(f - 6)
Factor 4*n**3/7 - 6092*n**2/7 - 12196*n/7 - 6100/7.
4*(n - 1525)*(n + 1)**2/7
Factor 5*z**4 + 35*z**3 + 80*z**2 + 60*z.
5*z*(z + 2)**2*(z + 3)
What is z in 10*z**2/21 - 954*z/7 + 572/21 = 0?
1/5, 286
Determine r, given that -2*r**2/9 + 28*r/9 - 80/9 = 0.
4, 10
Find p such that 9*p**5 - 16*p**4 - 31*p**3 + 30*p**2 + 44*p + 8 = 0.
-1, -2/9, 2
Find v such that -v**3/2 - 7*v**2/2 + 17*v/2 - 9/2 = 0.
-9, 1
Find d, given that 2*d**3/15 - 2*d**2 + 76*d/15 - 16/5 = 0.
1, 2, 12
Factor 4*x**2 + 20*x - 264.
4*(x - 6)*(x + 11)
What is y in 4*y**4/17 + 2*y**3/17 - 10*y**2/17 + 4*y/17 = 0?
-2, 0, 1/2, 1
Determine h, given that 2*h**4 - 8*h**3 - 2*h**2 + 8*h = 0.
-1, 0, 1, 4
Solve -t**3/3 - 14*t**2 - 117*t - 310/3 = 0 for t.
-31, -10, -1
Let 3*h**3 + 111*h**2 + 1248*h + 3840 = 0. What is h?
-16, -5
Let -u**5 + 8*u**4 + 35*u**3 - 262*u**2 - 448*u + 1568 = 0. What is u?
-4, 2, 7
Determine d so that d**4 + 134*d**3 + 133*d**2 = 0.
-133, -1, 0
Factor -4*l**3 + 40*l**2 - 92*l + 56.
-4*(l - 7)*(l - 2)*(l - 1)
Determine p, given that -12*p**4 - 68*p**3 - 88*p**2 - 32*p = 0.
-4, -1, -2/3, 0
Factor 2*a**2/7 - 16*a/7.
2*a*(a - 8)/7
Determine p so that 5*p**4 - 1390*p**3 + 97980*p**2 - 190440*p = 0.
0, 2, 138
Determine t, given that t**3/3 + t**2/3 - 4*t = 0.
-4, 0, 3
Factor -5*r**2 + 61*r - 12.
-(r - 12)*(5*r - 1)
Let 3*z**2/2 - 99*z + 192 = 0. Calculate z.
2, 64
Factor -3*z**2/2 + 39*z - 132.
-3*(z - 22)*(z - 4)/2
Find b such that 2*b**2/7 + 20*b + 402/7 = 0.
-67, -3
Find g such that 6*g**3 + 164*g**2 + 1064*g - 784 = 0.
-14, 2/3
Suppose -3*z**3/4 + 15*z**2/2 - 21*z/4 - 27/2 = 0