 - 56980*k + 14520 = 0.
-6, 1/2, 22
Factor -y**2 - 2*y + 8.
-(y - 2)*(y + 4)
Solve -2*l**3 + 250*l**2 = 0.
0, 125
Solve p**3/4 + 5*p**2 + 79*p/4 + 15 = 0 for p.
-15, -4, -1
Suppose w**2 - 43*w = 0. What is w?
0, 43
Factor 4*b**4 + 64*b**3 - 16*b**2 - 256*b.
4*b*(b - 2)*(b + 2)*(b + 16)
Factor -4*n**5 + 4*n**4 + 20*n**3 - 4*n**2 - 32*n - 16.
-4*(n - 2)**2*(n + 1)**3
Suppose 3*s**2 - 165*s + 1548 = 0. What is s?
12, 43
Factor -55*a**2 - 10*a.
-5*a*(11*a + 2)
Factor -2*y**3/7 + 108*y**2/7 - 1066*y/7.
-2*y*(y - 41)*(y - 13)/7
Solve 2*d**3/9 + 10*d**2/9 - 56*d/9 - 64/9 = 0.
-8, -1, 4
Factor -3*w**3 - 162*w**2.
-3*w**2*(w + 54)
Determine x so that 4*x**2 + 112*x - 512 = 0.
-32, 4
Suppose -4*n**4/3 - 24460*n**3/3 - 16621928*n**2 - 33908716816*n/3 - 33858875488/3 = 0. Calculate n.
-2038, -1
Let 2*t**2 + 166*t = 0. What is t?
-83, 0
Solve 4*j**5/3 - 368*j**4/3 - 1136*j**3/3 - 392*j**2/3 + 1132*j/3 + 760/3 = 0 for j.
-2, -1, 1, 95
Let 2*f**2/7 - 6*f = 0. Calculate f.
0, 21
Let p**3/6 + 35*p**2/6 - 77*p/6 - 37/2 = 0. Calculate p.
-37, -1, 3
Factor -3*o**4 - 2367*o**3 + 7119*o**2 - 7125*o + 2376.
-3*(o - 1)**3*(o + 792)
Suppose -m**3/7 + 431*m**2/7 + m/7 - 431/7 = 0. Calculate m.
-1, 1, 431
Factor -k**3/4 + 349*k**2/4 + 175*k/2.
-k*(k - 350)*(k + 1)/4
Determine v, given that -25*v**4 + 1615*v**3 - 4000*v**2 - 1860*v = 0.
-2/5, 0, 3, 62
Factor -2*r**2/5 - 58*r/5 - 56/5.
-2*(r + 1)*(r + 28)/5
Factor q**4/8 + 201*q**3/8 + 597*q**2/8 + 595*q/8 + 99/4.
(q + 1)**3*(q + 198)/8
Factor -3*i**3 - 285*i**2 + 876*i - 588.
-3*(i - 2)*(i - 1)*(i + 98)
Factor -u**2/2 - 475*u/2 - 473.
-(u + 2)*(u + 473)/2
Factor v**3 - 272*v**2 - 2795*v - 7050.
(v - 282)*(v + 5)**2
Suppose 35*v**4 - 200*v**3 + 360*v**2 - 160*v - 80 = 0. What is v?
-2/7, 2
Suppose -2*z**3 - 2*z**2 + 100*z - 96 = 0. Calculate z.
-8, 1, 6
Factor 2*a**2 + 138*a - 1580.
2*(a - 10)*(a + 79)
Suppose 3*b**5 + 105*b**4 + 969*b**3 + 867*b**2 = 0. What is b?
-17, -1, 0
Suppose 32*r**3/3 + 14128*r**2/3 - 7070*r/3 + 884/3 = 0. What is r?
-442, 1/4
Factor t**3/4 - 5*t**2 - 21*t/4.
t*(t - 21)*(t + 1)/4
Factor -4*b**2/9 - 100*b/3 - 1400/9.
-4*(b + 5)*(b + 70)/9
What is d in d**5/10 + d**4/10 - 4*d**3/5 - 4*d**2/5 + 8*d/5 + 8/5 = 0?
-2, -1, 2
Determine w, given that -2*w**2/17 + 982*w/17 - 980/17 = 0.
1, 490
Factor k**5 + 2*k**4 - 6*k**3 - 20*k**2 - 19*k - 6.
(k - 3)*(k + 1)**3*(k + 2)
Factor -n**5 - 14*n**4 - 60*n**3 - 50*n**2 + 125*n.
-n*(n - 1)*(n + 5)**3
Factor 5*i**3/4 - 15*i**2/4 - 45*i/4 - 25/4.
5*(i - 5)*(i + 1)**2/4
Factor -k**4/5 + 12*k**3/5 - 29*k**2/5 + 18*k/5.
-k*(k - 9)*(k - 2)*(k - 1)/5
Suppose 4*b**4 - 356*b**3 - 12*b**2 + 1076*b - 712 = 0. What is b?
-2, 1, 89
Factor -72*w**4/19 + 12216*w**3/19 - 528242*w**2/19 + 855120*w/19 - 352800/19.
-2*(w - 84)**2*(6*w - 5)**2/19
Suppose -45*l**5/2 - 21*l**4/2 + 63*l**3 + 3*l**2 - 81*l/2 + 15/2 = 0. What is l?
-5/3, -1, 1/5, 1
Factor u**5 - 11*u**4 - 3*u**3 + 31*u**2 + 22*u.
u*(u - 11)*(u - 2)*(u + 1)**2
Factor 3*r**2/4 + 3*r/2 + 3/4.
3*(r + 1)**2/4
Factor -4*w**2 + 2576*w - 414736.
-4*(w - 322)**2
Suppose z**2/6 - z/6 - 1/3 = 0. Calculate z.
-1, 2
Factor 155*g**2 - 240*g - 140.
5*(g - 2)*(31*g + 14)
Factor -4*r**5 + 40*r**3 - 80*r**2 + 60*r - 16.
-4*(r - 1)**4*(r + 4)
Factor 2*q**2 - 1350*q - 5432.
2*(q - 679)*(q + 4)
Let -21*k**5/5 - 456*k**4/5 - 687*k**3/5 + 696*k**2/5 + 708*k/5 - 48 = 0. What is k?
-20, -2, -1, 2/7, 1
Determine v, given that v**2/4 + v/2 - 63/4 = 0.
-9, 7
Determine u, given that -12*u**2 + 12468*u - 3238563 = 0.
1039/2
Factor 4*o**4 + 8*o**3 - 220*o**2 - 224*o.
4*o*(o - 7)*(o + 1)*(o + 8)
Factor 125*w**2/3 - 1100*w + 7260.
5*(5*w - 66)**2/3
What is t in -2*t**4/3 - 50*t**3/3 + 8*t**2/3 + 200*t/3 = 0?
-25, -2, 0, 2
Solve -k**4/4 + 11*k**3/4 - 21*k**2/2 + 17*k - 10 = 0.
2, 5
Factor -2*j**5/7 + 2*j**4/7 + 2*j**3/7 - 2*j**2/7.
-2*j**2*(j - 1)**2*(j + 1)/7
Determine a so that 2*a**3/3 + 44*a**2/15 + 56*a/15 + 16/15 = 0.
-2, -2/5
Determine t so that -120*t**4 - 572*t**3 + 188*t**2 + 224*t - 80 = 0.
-5, -2/3, 2/5, 1/2
Factor 144*a**2 - 22*a.
2*a*(72*a - 11)
Factor 2*x**5/5 - 14*x**4/5 + 32*x**3/5 - 24*x**2/5.
2*x**2*(x - 3)*(x - 2)**2/5
Factor 7*z**5 - 19*z**4 - 69*z**3 - 53*z**2 - 10*z.
z*(z - 5)*(z + 1)**2*(7*z + 2)
Factor -i**4/4 + 39*i**3/4 - 135*i**2 + 756*i - 1296.
-(i - 12)**3*(i - 3)/4
Factor -3*d**3/2 + 2655*d**2/2 - 3972*d + 2646.
-3*(d - 882)*(d - 2)*(d - 1)/2
Solve 5*a**2/3 - 1030*a/3 + 53045/3 = 0 for a.
103
Find z, given that 3*z**4 - 168*z**3 + 2178*z**2 + 4872*z + 2523 = 0.
-1, 29
What is n in 4*n**5 - 84*n**4 + 292*n**3 - 348*n**2 + 136*n = 0?
0, 1, 2, 17
Factor w**2/4 + 43*w/4 + 30.
(w + 3)*(w + 40)/4
Solve -2*h**5 - 36*h**4 + 120*h**3 - 124*h**2 + 42*h = 0.
-21, 0, 1
Let c**2 + 284*c + 20164 = 0. What is c?
-142
Factor 134*b**2 - 5356*b - 160.
2*(b - 40)*(67*b + 2)
Factor -98*v**4/5 - 252*v**3/5 - 218*v**2/5 - 72*v/5 - 8/5.
-2*(v + 1)**2*(7*v + 2)**2/5
Suppose -r**4/3 - 4*r**3 - 9*r**2 = 0. What is r?
-9, -3, 0
Determine o so that -o**2/7 + 79*o/7 - 22 = 0.
2, 77
Factor 961*p**3/3 + 2542*p**2 - 165*p + 8/3.
(p + 8)*(31*p - 1)**2/3
Factor -k**5/3 - k**4 + 3*k**3 - 5*k**2/3.
-k**2*(k - 1)**2*(k + 5)/3
Suppose 4*h**2/5 + 56*h/5 = 0. What is h?
-14, 0
Solve 3*b**2/8 - 111*b/8 - 57/4 = 0 for b.
-1, 38
Factor -g**4 + 360*g**3.
-g**3*(g - 360)
Suppose 12*i**2 + 273*i - 69 = 0. Calculate i.
-23, 1/4
Find s such that 4*s**5 + 8*s**4 - 12*s**3 = 0.
-3, 0, 1
Find i such that 25*i**4 - 310*i**3 - 1855*i**2 - 1760*i + 1020 = 0.
-3, -2, 2/5, 17
Factor -14*b**3 - 200*b**2 + 154*b + 60.
-2*(b - 1)*(b + 15)*(7*b + 2)
Let u**5/2 - 7*u**4/2 + 17*u**3/2 - 17*u**2/2 + 3*u = 0. What is u?
0, 1, 2, 3
Determine g, given that -3*g**4 + 114*g**3 - 933*g**2 - 114*g + 936 = 0.
-1, 1, 12, 26
Factor -y**2/3 - 37*y - 110/3.
-(y + 1)*(y + 110)/3
What is w in 20*w**5 + 805*w**4 + 8200*w**3 + 2000*w**2 = 0?
-20, -1/4, 0
Factor -2*w**3/7 + 740*w**2/7 - 68450*w/7.
-2*w*(w - 185)**2/7
Factor 2*l**5 - 20*l**3 + 40*l**2 - 30*l + 8.
2*(l - 1)**4*(l + 4)
Solve 3*w**4/7 - 15*w**3/7 + 12*w**2/7 = 0 for w.
0, 1, 4
Factor -s**5/4 - 43*s**4/4 - 483*s**3/4 - 441*s**2/4.
-s**2*(s + 1)*(s + 21)**2/4
Factor -2*t**5/11 + 40*t**4/11 - 108*t**3/11 + 104*t**2/11 - 34*t/11.
-2*t*(t - 17)*(t - 1)**3/11
Suppose -2*g**5/5 + 4*g**4 - 56*g**3/5 + 4*g**2 + 58*g/5 - 8 = 0. What is g?
-1, 1, 4, 5
Factor 2*v**2 - 92*v + 1058.
2*(v - 23)**2
Factor -2*m**3/7 - 94*m**2/7 - 92*m/7.
-2*m*(m + 1)*(m + 46)/7
Factor 18*a**2/5 - 1851*a/5 - 309/5.
3*(a - 103)*(6*a + 1)/5
What is i in -2*i**3/5 + 8*i**2/5 + 22*i/5 - 12 = 0?
-3, 2, 5
Solve -c**5 + 5*c**4 - 5*c**3 - 5*c**2 + 6*c = 0.
-1, 0, 1, 2, 3
Factor 5*z**3 + 65*z**2 - 80*z - 140.
5*(z - 2)*(z + 1)*(z + 14)
Determine p so that -5*p**4 - 590*p**3 - 16805*p**2 + 35400*p - 18000 = 0.
-60, 1
Suppose i**4/4 + 5*i**3/4 - 13*i**2/4 - 77*i/4 - 15 = 0. Calculate i.
-5, -3, -1, 4
Factor 17*o**3/5 + 257*o**2/5 + 6*o.
o*(o + 15)*(17*o + 2)/5
Determine j, given that -14*j**5 - 438*j**4 + 338*j**3 + 566*j**2 - 324*j - 128 = 0.
-32, -1, -2/7, 1
Factor -5*i**4 + 35*i**3 + 1040*i**2 + 1900*i.
-5*i*(i - 19)*(i + 2)*(i + 10)
Factor d**2/5 - 7*d + 174/5.
(d - 29)*(d - 6)/5
Factor 3*i**4/5 - 108*i**3 - 1638*i**2/5 - 1644*i/5 - 549/5.
3*(i - 183)*(i + 1)**3/5
Factor 4*w**3/7 + 68*w**2/7 + 300*w/7 + 396/7.
4*(w + 3)**2*(w + 11)/7
Factor -i**2/2 + 7*i/2 + 9.
-(i - 9)*(i + 2)/2
Factor 3*b**3 + 419*b**2 + 1100*b + 548.
(b + 2)*(b + 137)*(3*b + 2)
Determine d, given that -d**2 + 59*d - 168 = 0.
3, 56
Factor x**4 - 18*x**3 + 88*x**2 - 512.
(x - 8)**2*(x - 4)*(x + 2)
Suppose r**2/5 + 163*r/5 - 498/5 = 0. Calculate r.
-166, 3
Find x, given that -33*x**3/2 - 9*x**2/2 = 0.
-3/11, 0
Factor 2*s**3/3 - 90*s**2 - 3150*s - 24750.
2*(s - 165)*(s + 15)**2/3
Factor 2*o**4 - 26*o**3 + 104*o**2 - 120*o.
2*o*(o - 6)*(o - 5)*(o - 2)
What is v in -98*v**2 + 14*v + 12 = 0?
-2/7, 3/7
Determine o, given that o**5/8 - o**4/8 - 11*o**3/4 - o**2/4 + 69*o/8 - 45/8 = 0.
-3, 1, 5
Factor -5*s**5 - 60*s**4 - 225*s**3 - 250*s**2.
-5*s**2*(s + 2)*(s + 5)**2
Factor -2*k**4 + 16*k**3 + 40*k**2.
-2*k**2*(k - 10)*(k + 2)
Find j such that 2*j**4/7 - 6*j**3/7 - 2*j**2 + 30*j/7 + 36/7 = 0.
-2, -1, 3
Find z, given that z**5/2 + 15*z**4/2 - 53*z**3/2 + 21*z**2/2 + 26*z - 18 = 0.
-18, -1, 1, 2
Solve -o**4/4 + 29*o**