*k - 54 = 0. Calculate k.
1, 18
Solve -3*d**2/4 - 75*d/4 - 189/2 = 0 for d.
-18, -7
Let f**4 + 6*f**3 + 12*f**2 + 8*f = 0. What is f?
-2, 0
Factor 5*i**3 - 95*i**2 - 110*i + 200.
5*(i - 20)*(i - 1)*(i + 2)
What is h in 10*h**5/11 + 6*h**4/11 - 914*h**3/11 - 1446*h**2/11 - 16*h + 360/11 = 0?
-9, -1, 2/5, 10
Suppose 5*r**4 + 5*r**3 - 30*r**2 = 0. What is r?
-3, 0, 2
Suppose -16*x**5/17 - 70*x**4/17 - 40*x**3/17 + 90*x**2/17 + 36*x/17 = 0. Calculate x.
-3, -2, -3/8, 0, 1
Factor -2*p**2/17 + 152*p/17.
-2*p*(p - 76)/17
What is k in 3*k**2 + 57*k + 144 = 0?
-16, -3
Factor 5*t**5 - 5*t**4 - 5*t**3 + 5*t**2.
5*t**2*(t - 1)**2*(t + 1)
What is m in -2*m**3/9 - 1486*m**2/3 - 1104098*m/3 - 820344814/9 = 0?
-743
Factor d**4/5 - 24*d**3/5 + 204*d**2/5 - 704*d/5 + 768/5.
(d - 8)**2*(d - 6)*(d - 2)/5
Let -4*y**4/7 - 20*y**3/7 + 4*y**2 + 116*y/7 - 120/7 = 0. Calculate y.
-5, -3, 1, 2
Suppose -3*z**5 - 6*z**4 + 9*z**3 + 12*z**2 - 12*z = 0. What is z?
-2, 0, 1
Find w, given that 243*w**5/7 - 432*w**4/7 + 138*w**3/7 + 48*w**2/7 + 3*w/7 = 0.
-1/9, 0, 1
Find k, given that 3*k**4/7 + 192*k**3/7 + 2874*k**2/7 - 6336*k/7 + 3267/7 = 0.
-33, 1
Suppose 2*i**2 - 156*i - 158 = 0. What is i?
-1, 79
Factor 3*t**2/4 + 3*t/4 - 45/2.
3*(t - 5)*(t + 6)/4
Factor 4*l**2 - 312*l + 6084.
4*(l - 39)**2
Let 2*b**4/7 + 16*b**3/7 - 24*b**2/7 - 288*b/7 = 0. Calculate b.
-6, 0, 4
Factor -3*v**2 + 1518*v - 192027.
-3*(v - 253)**2
Factor -b**3/7 - 670*b**2/7 + 671*b/7.
-b*(b - 1)*(b + 671)/7
Let -68450*x**2/7 - 2220*x/7 - 18/7 = 0. Calculate x.
-3/185
Factor -3*f**2/4 - 27*f.
-3*f*(f + 36)/4
Determine p so that 3*p**4 - 33*p**3 - 189*p**2 + 81*p + 810 = 0.
-3, 2, 15
Factor q**2/4 + 37*q/2 + 73/4.
(q + 1)*(q + 73)/4
Find c such that c**2 - 6*c - 7 = 0.
-1, 7
Factor 5*i**2 + 90*i - 1040.
5*(i - 8)*(i + 26)
Suppose b**4 - 85*b**3 + 1848*b**2 - 1764*b = 0. Calculate b.
0, 1, 42
Factor 3*z**3/2 - 72*z**2 - 306*z - 312.
3*(z - 52)*(z + 2)**2/2
Solve 2*p**4/3 - 2*p**3 - 20*p**2/3 + 16*p = 0 for p.
-3, 0, 2, 4
Find r such that -5*r**5 + 120*r**4 + 685*r**3 + 1140*r**2 + 580*r = 0.
-2, -1, 0, 29
Let 4*i**4 - 4*i**3 - 60*i**2 - 92*i - 40 = 0. What is i?
-2, -1, 5
Factor h**5 + 3*h**4 - 18*h**3.
h**3*(h - 3)*(h + 6)
Factor 4*y**3 + 64*y**2 + 308*y + 392.
4*(y + 2)*(y + 7)**2
Factor -5*w**2 - 6020*w - 1812020.
-5*(w + 602)**2
Solve -2*z**3 - 68*z**2 - 130*z - 64 = 0.
-32, -1
Solve -20*i**4 - 148*i**3 - 356*i**2 - 300*i - 72 = 0.
-3, -1, -2/5
Factor 2*q**3/19 - 24*q**2/19 + 90*q/19 - 108/19.
2*(q - 6)*(q - 3)**2/19
Factor 5*v**4 + 1253*v**3 + 1993*v**2 + 247*v - 498.
(v + 1)**2*(v + 249)*(5*v - 2)
Factor 15*h**3 - 100*h**2 + 180*h - 80.
5*(h - 4)*(h - 2)*(3*h - 2)
Determine q, given that -4*q**5/5 + 4*q**3 - 16*q/5 = 0.
-2, -1, 0, 1, 2
Let -4*f**4/9 + 32*f**3/9 - 92*f**2/9 + 112*f/9 - 16/3 = 0. What is f?
1, 2, 3
Determine j so that -5*j**2 - 770*j - 1520 = 0.
-152, -2
Factor -o**3 + 5*o**2 + 8*o - 12.
-(o - 6)*(o - 1)*(o + 2)
Find t such that -5*t**3/4 - 6630*t**2 - 8791380*t = 0.
-2652, 0
What is j in -2*j**4/3 - 2*j**3 + 2*j**2 + 22*j/3 + 4 = 0?
-3, -1, 2
Suppose -8*i**3/3 + 50*i**2/3 - 52*i/3 + 10/3 = 0. Calculate i.
1/4, 1, 5
Factor -2*c**2 - 12*c + 14.
-2*(c - 1)*(c + 7)
Find s, given that -s**4/8 - 25*s**3/8 - 69*s**2/8 - 67*s/8 - 11/4 = 0.
-22, -1
Factor -3*g**4/4 - 99*g**3 - 3267*g**2.
-3*g**2*(g + 66)**2/4
Factor 3*f**5 + 402*f**4 + 13467*f**3.
3*f**3*(f + 67)**2
Factor -z**2/8 - 1449*z/8.
-z*(z + 1449)/8
Find p such that 3*p**3/4 - 87*p**2/4 - 183*p/4 - 93/4 = 0.
-1, 31
Factor 106*m**3/3 + 140*m**2 + 136*m - 16/3.
2*(m + 2)**2*(53*m - 2)/3
What is q in 5*q**2 + 320*q - 4125 = 0?
-75, 11
Determine j so that 147*j**3 + 5964*j**2 + 3372*j + 480 = 0.
-40, -2/7
Factor -3*q**5 - 2043*q**4 - 348840*q**3 - 346800*q**2.
-3*q**2*(q + 1)*(q + 340)**2
Let 3*o**2/2 - 69*o/2 + 90 = 0. Calculate o.
3, 20
Factor 5*k**4 + 50*k**3 + 40*k**2 - 50*k - 45.
5*(k - 1)*(k + 1)**2*(k + 9)
Factor 4*a**2 + 32*a + 64.
4*(a + 4)**2
Factor 2*k**4/9 - 26*k**3/9 + 32*k**2/3 - 8*k.
2*k*(k - 6)**2*(k - 1)/9
What is t in -5*t**4 + 10*t**3 + 15*t**2 - 20*t - 20 = 0?
-1, 2
Factor -2*v**2/5 + 4*v - 18/5.
-2*(v - 9)*(v - 1)/5
Factor -u**2/2 - 75*u - 5625/2.
-(u + 75)**2/2
Let 887*a**2 - 1776*a + 4 = 0. Calculate a.
2/887, 2
Let -4*v**5 + 40*v**4 - 64*v**3 = 0. Calculate v.
0, 2, 8
Let 3*s**5/2 - 45*s**4/2 - 15*s**3/2 + 225*s**2/2 + 6*s - 90 = 0. What is s?
-2, -1, 1, 2, 15
Factor -2*j**2/9 + 22*j/9.
-2*j*(j - 11)/9
Solve -4*d**2 + 16*d + 84 = 0.
-3, 7
Solve -4*k**2 + 336*k + 688 = 0.
-2, 86
Factor -g**2/9 + 4*g/9 - 1/3.
-(g - 3)*(g - 1)/9
Find v such that -20*v**4 + 60*v**3 - 65*v**2 + 30*v - 5 = 0.
1/2, 1
Factor -2*t**3/13 - 786*t**2/13.
-2*t**2*(t + 393)/13
Solve -a**2 - 4*a + 12 = 0.
-6, 2
Factor 2*s**3 - 222*s**2 + 5814*s + 19494.
2*(s - 57)**2*(s + 3)
Factor -s**4/9 - 31*s**3/9 + 11*s**2 - 101*s/9 + 34/9.
-(s - 1)**3*(s + 34)/9
Find q, given that 3*q**2/4 + 579*q/4 - 585/2 = 0.
-195, 2
Factor -t**4/3 + 5*t**3 - 56*t**2/3 + 20*t.
-t*(t - 10)*(t - 3)*(t - 2)/3
Factor f**2/2 + 91*f.
f*(f + 182)/2
Solve 2*i**3/11 + 32*i**2/11 - 2*i/11 - 32/11 = 0.
-16, -1, 1
Find x, given that -2*x**5/5 - 8*x**4/5 - 4*x**3/5 + 8*x**2/5 + 6*x/5 = 0.
-3, -1, 0, 1
Factor 4*t**4 + 12*t**3 - 8*t**2 - 48*t - 32.
4*(t - 2)*(t + 1)*(t + 2)**2
Find h, given that 2*h**5/3 + 2*h**4 - 16*h**3 + 56*h**2/3 = 0.
-7, 0, 2
Factor -8*d**3/7 + 2*d**2/7 + 26*d/7 - 20/7.
-2*(d - 1)*(d + 2)*(4*d - 5)/7
Factor -6*y**2/5 - 6*y/5 + 24.
-6*(y - 4)*(y + 5)/5
Determine k, given that 4*k**3/5 - 19*k**2/5 + 19*k/5 + 6/5 = 0.
-1/4, 2, 3
Factor 2*w**3 + 2*w**2 - 28*w - 48.
2*(w - 4)*(w + 2)*(w + 3)
Factor 14*d**2 + 11708*d + 3344.
2*(d + 836)*(7*d + 2)
Factor 14*d**2 - 134*d + 72.
2*(d - 9)*(7*d - 4)
Factor v**2 + 9*v.
v*(v + 9)
Factor -13125*b**3 - 3525*b**2 + 816*b - 36.
-3*(7*b + 3)*(25*b - 2)**2
Solve 4*j**2 + 8*j - 140 = 0.
-7, 5
Suppose -s**3 - 32*s**2/5 + 23*s/5 + 14/5 = 0. What is s?
-7, -2/5, 1
Factor 2*g**5 + 5*g**4 + 4*g**3 + g**2.
g**2*(g + 1)**2*(2*g + 1)
Suppose 8*d**5/3 - 104*d**4/3 + 274*d**3/3 + 356*d**2/3 + 32*d = 0. Calculate d.
-1/2, 0, 6, 8
Factor -k**4/3 + 26*k**3/3 - 157*k**2/3 + 80*k - 36.
-(k - 18)*(k - 6)*(k - 1)**2/3
Find f, given that -2*f**5/11 + 42*f**4/11 + 300*f**3/11 + 628*f**2/11 + 534*f/11 + 162/11 = 0.
-3, -1, 27
Suppose -3*k**4/5 - 51*k**3/5 - 12*k**2 + 1248*k/5 = 0. What is k?
-13, -8, 0, 4
Factor -2*x**2/5 + 94*x/5.
-2*x*(x - 47)/5
Factor -3*i**3 - 60*i**2 + 288*i.
-3*i*(i - 4)*(i + 24)
Factor -4*y**2 - 168*y - 164.
-4*(y + 1)*(y + 41)
Factor -2*j**5/3 + 76*j**4/3 + 282*j**3.
-2*j**3*(j - 47)*(j + 9)/3
What is f in -3*f**5/2 + 9*f**4 - 18*f**3 + 12*f**2 = 0?
0, 2
Determine j so that -12*j**5 + 134*j**4 + 186*j**3 - 768*j**2 - 328*j + 480 = 0.
-5/2, -1, 2/3, 2, 12
Determine a so that 28*a**5/15 + 26*a**4/15 - 142*a**3/15 + 94*a**2/15 - 2*a/5 = 0.
-3, 0, 1/14, 1
Factor -2*i**3/3 + 47*i**2/3 + 25*i/3 - 8.
-(i - 24)*(i + 1)*(2*i - 1)/3
Factor -g**2/6 - 17*g/2 - 289/3.
-(g + 17)*(g + 34)/6
Factor -4*a**2/3 - 536*a/3 + 180.
-4*(a - 1)*(a + 135)/3
Suppose -2*k**3/21 + 12*k**2/7 + 2*k - 76/21 = 0. Calculate k.
-2, 1, 19
Factor -3*j**3 + 27*j**2 + 63*j + 33.
-3*(j - 11)*(j + 1)**2
Find f such that 20*f**4 + 965*f**3 + 10740*f**2 + 35945*f + 8330 = 0.
-34, -7, -1/4
Let 2*y**4 - 1500*y**3 + 268994*y**2 + 4596000*y + 18776192 = 0. What is y?
-8, 383
Factor 7*u**3 - 23*u**2 + 16*u.
u*(u - 1)*(7*u - 16)
Factor z**2/4 - z/2 - 15/4.
(z - 5)*(z + 3)/4
Find k such that 12*k**4 - 15*k**3 - 54*k**2 - 27*k = 0.
-1, -3/4, 0, 3
Suppose -2*z**3/5 + 48*z**2/5 - 168*z/5 + 32 = 0. What is z?
2, 20
Factor c**3 + 21*c**2 + 71*c + 51.
(c + 1)*(c + 3)*(c + 17)
Factor 3*c**2 + 216*c + 420.
3*(c + 2)*(c + 70)
Determine i so that -2*i**4/9 - 22*i**3/9 - 22*i**2/9 + 118*i/9 - 8 = 0.
-9, -4, 1
Factor u**4/4 + u**3/2 - 2*u**2.
u**2*(u - 2)*(u + 4)/4
Factor -5*h**2/3 - 20*h + 65/3.
-5*(h - 1)*(h + 13)/3
Factor -h**2 + 67*h + 138.
-(h - 69)*(h + 2)
Factor u**3 - u**2.
u**2*(u - 1)
Suppose -2*z**3/7 + 6*z**2 - 76*z/7 = 0. Calculate z.
0, 2, 19
Factor -3*q**3/2 + 39*q**2 + 1521*q/2.
-3*q*(q - 39)*(q + 13)/2
Factor 20*n**4 - 100*n**3 - 255*n**2 - 170*n - 35.
5*(n - 7)*(n + 1)*(2*n + 1)**2
Determine t so that 2*t**5/3 + 260*t**4/9 + 286*t**3/9 - 2048*t**2/9 + 2168*t/9 - 224/3 