 33
Factor -2*d**2/15 - 224*d/15 + 312.
-2*(d - 18)*(d + 130)/15
Factor 9*r**4/4 + 69*r**3/4 + 151*r**2/4 + 79*r/4 + 3.
(r + 3)*(r + 4)*(3*r + 1)**2/4
Determine o so that -98*o**5/3 + 280*o**4/3 - 88*o**3/3 - 244*o**2/3 + 62*o - 12 = 0.
-1, 3/7, 1, 2
What is n in -n**5/3 - 5*n**4/3 = 0?
-5, 0
Factor -6*s**4 - 268*s**3 - 176*s**2.
-2*s**2*(s + 44)*(3*s + 2)
Let 3*n**3 + 2667*n**2 + 594072*n + 591408 = 0. Calculate n.
-444, -1
Let -3*i**4 + 81*i**3 - 411*i**2 - 1845*i - 1350 = 0. Calculate i.
-2, -1, 15
Find u, given that -7*u**4/11 - 149*u**3/11 - 987*u**2/11 - 2195*u/11 - 50 = 0.
-11, -5, -2/7
Solve 4*l**2 - 44*l = 0.
0, 11
Let f**5/8 + 5*f**4/8 + 7*f**3/8 - f**2/8 - f - 1/2 = 0. Calculate f.
-2, -1, 1
Factor 5*t**2 - 10*t - 40.
5*(t - 4)*(t + 2)
Factor -z**3/5 + 8*z**2/5 + 11*z/5 - 18/5.
-(z - 9)*(z - 1)*(z + 2)/5
Determine l, given that 935*l**2 + 1860*l - 20 = 0.
-2, 2/187
What is k in -2*k**5 + 156*k**4/5 - 476*k**3/5 - 376*k**2/5 + 486*k/5 + 44 = 0?
-1, -2/5, 1, 5, 11
Factor 2*a**3 + 168*a**2 + 1800*a + 5184.
2*(a + 6)**2*(a + 72)
Solve 3*a**3 + 138*a**2 - 147*a - 282 = 0 for a.
-47, -1, 2
Find j such that j**2/3 - 4555*j/3 - 4556/3 = 0.
-1, 4556
Let 4*v**3 - 88*v**2 + 212*v + 304 = 0. Calculate v.
-1, 4, 19
Solve j**2 + 17*j - 18 = 0 for j.
-18, 1
Suppose 2*l**5/3 - 16*l**4 + 296*l**3/3 - 124*l**2 - 298*l/3 + 140 = 0. Calculate l.
-1, 1, 2, 7, 15
Solve t**5/6 + 2*t**4/3 + t**3/2 - 2*t**2/3 - 2*t/3 = 0 for t.
-2, -1, 0, 1
What is g in 3*g**4 + 60*g**3 + 111*g**2 + 54*g = 0?
-18, -1, 0
Factor -5*c**4 - 100*c**3 + 335*c**2 - 230*c.
-5*c*(c - 2)*(c - 1)*(c + 23)
Factor 825*k**2 - 5*k.
5*k*(165*k - 1)
Factor 5*v**3 - 115*v**2 - 1200*v + 4500.
5*(v - 30)*(v - 3)*(v + 10)
Factor -v**4 + 5*v**3 - 3*v**2 - 5*v + 4.
-(v - 4)*(v - 1)**2*(v + 1)
Factor 3*t**5/4 + 21*t**4/4 + 27*t**3/2 + 33*t**2/2 + 39*t/4 + 9/4.
3*(t + 1)**4*(t + 3)/4
Find u such that -2*u**5/11 + 16*u**4/11 + 100*u**3/11 - 1024*u**2/11 + 154*u - 784/11 = 0.
-8, 1, 7
Find u, given that -25*u**4/2 + 205*u**3/2 - 220*u**2 + 40*u = 0.
0, 1/5, 4
Find d such that -d**2 + 6*d + 7 = 0.
-1, 7
Factor -3*h**3 + 6*h**2 + 357*h - 1764.
-3*(h - 7)**2*(h + 12)
Factor 2*v**3/11 - 8*v**2/11 - 2*v/11 + 8/11.
2*(v - 4)*(v - 1)*(v + 1)/11
Find d, given that -4*d**4/7 - 40*d**3/7 + 148*d**2/7 - 104*d/7 = 0.
-13, 0, 1, 2
Factor 4*y**4/3 + 8*y**3 - 84*y**2 - 1568*y/3.
4*y*(y - 8)*(y + 7)**2/3
Solve 3*u**5/5 - 66*u**4/5 + 459*u**3/5 - 816*u**2/5 - 1344*u/5 = 0 for u.
-1, 0, 7, 8
Let -n**5 - 15*n**4 - 67*n**3 - 129*n**2 - 112*n - 36 = 0. Calculate n.
-9, -2, -1
Factor -s**3/4 - 147*s**2/2 - 5475*s - 10658.
-(s + 2)*(s + 146)**2/4
Determine v, given that -4*v**4 - 132*v**3 + 736*v**2 - 912*v = 0.
-38, 0, 2, 3
Find z, given that 30*z**4 + 65*z**3 - 20*z**2 - 65*z - 10 = 0.
-2, -1, -1/6, 1
Factor 4*x**3 - 1444*x**2 + 4304*x - 2864.
4*(x - 358)*(x - 2)*(x - 1)
Find h, given that -h**2/2 - 26*h - 338 = 0.
-26
Factor i**2 + 560*i + 78400.
(i + 280)**2
Determine a so that a**4/3 + 5*a**3 + 46*a**2/3 - 32*a - 128/3 = 0.
-8, -1, 2
Determine b so that b**2 + 3242*b + 2627641 = 0.
-1621
Suppose -p**3/2 - 14*p**2 - 50*p - 48 = 0. Calculate p.
-24, -2
Factor -5*t**2 + 2960*t - 17580.
-5*(t - 586)*(t - 6)
Factor 2*y**4/7 - 32*y**3/7 - 10*y**2 - 36*y/7.
2*y*(y - 18)*(y + 1)**2/7
Solve -3*x**3 - 123*x**2 - 237*x - 117 = 0.
-39, -1
Factor 193*l**2 - 963*l - 10.
(l - 5)*(193*l + 2)
Suppose 441*f**5 - 1365*f**4 - 3842*f**3 - 1830*f**2 + 201*f - 5 = 0. Calculate f.
-1, 1/21, 5
Suppose -w**4 + 7*w**3 - 18*w**2 + 20*w - 8 = 0. What is w?
1, 2
Suppose h**4/6 - 73*h**3/3 + 72*h**2 - 215*h/3 + 143/6 = 0. Calculate h.
1, 143
Let -20*k**5 - 408*k**4 + 3512*k**3 - 1536*k**2 - 3492*k + 1944 = 0. What is k?
-27, -1, 3/5, 1, 6
Determine w, given that -50*w**2 + 35*w + 15 = 0.
-3/10, 1
Factor 3*y**3 - 3*y.
3*y*(y - 1)*(y + 1)
Let f**4/2 + 35*f**3 + 102*f**2 + 101*f + 67/2 = 0. What is f?
-67, -1
Let -34*g**3/19 + 30*g**2/19 + 208*g/19 + 24/19 = 0. Calculate g.
-2, -2/17, 3
What is l in 3*l**2/5 - 267*l/5 + 1134 = 0?
35, 54
Factor -x**2 - 2*x + 35.
-(x - 5)*(x + 7)
Factor c**3/5 - 2*c**2.
c**2*(c - 10)/5
Factor 4*n**4 + 180*n**3 - 1284*n**2 - 3092*n - 1632.
4*(n - 8)*(n + 1)**2*(n + 51)
Factor -d**4/2 + 7*d**3 - 30*d**2 + 52*d - 32.
-(d - 8)*(d - 2)**3/2
Factor -3*s**3/8 - 27*s**2/2.
-3*s**2*(s + 36)/8
Determine l so that -4*l**4 + 8*l**3 + 20*l**2 - 24*l = 0.
-2, 0, 1, 3
Factor -2*v**4/15 - 1696*v**3/15 - 122644*v**2/5 - 710624*v/3 - 1755610/3.
-2*(v + 5)**2*(v + 419)**2/15
Let 2*u**4 - 10*u**3 - 6*u**2 + 90*u - 108 = 0. Calculate u.
-3, 2, 3
Solve -i**4/8 + 5*i**3/4 + 23*i**2/8 + 3*i/2 = 0.
-1, 0, 12
Solve j**2/4 - 69*j/2 + 134 = 0 for j.
4, 134
Factor -9*q**4/4 + 4269*q**3/4 - 506943*q**2/4 + 168507*q/4.
-3*q*(q - 237)**2*(3*q - 1)/4
Determine p, given that 4*p**2 - 51976*p + 168844036 = 0.
6497
Factor d**2/3 - 16*d/3 - 19.
(d - 19)*(d + 3)/3
Factor -2*v**2/3 - 292*v/3 - 290/3.
-2*(v + 1)*(v + 145)/3
Solve -6*s**2/5 - 772*s/5 + 258/5 = 0.
-129, 1/3
Factor 28*x**3 - 1140*x**2 + 8912*x + 2640.
4*(x - 30)*(x - 11)*(7*x + 2)
Let -4*f**4 - 52*f**3 - 188*f**2 - 236*f - 96 = 0. What is f?
-8, -3, -1
Let -45*s**3/2 - 291*s**2/4 - 243*s/4 - 21/2 = 0. Calculate s.
-2, -1, -7/30
Suppose -2*h**3/11 - 168*h**2/11 - 3528*h/11 = 0. What is h?
-42, 0
Factor g**5/7 + 54*g**4/7 + 104*g**3/7 - 2*g**2/7 - 15*g - 52/7.
(g - 1)*(g + 1)**3*(g + 52)/7
Factor 2*f**2/5 - 178*f + 888/5.
2*(f - 444)*(f - 1)/5
What is u in -2*u**3/3 + 80*u**2/3 + 86*u/3 - 164/3 = 0?
-2, 1, 41
Factor a**2 + 1662*a + 690561.
(a + 831)**2
Factor g**3 + 439*g**2 - 881*g + 441.
(g - 1)**2*(g + 441)
Suppose -4*a**3 - 176*a**2 + 2544*a - 8064 = 0. What is a?
-56, 6
Factor -4*z**4 + 84*z**3 + 92*z**2 - 84*z - 88.
-4*(z - 22)*(z - 1)*(z + 1)**2
Factor 3*h**3/2 + 39*h**2 + 213*h/2 + 69.
3*(h + 1)*(h + 2)*(h + 23)/2
What is x in 5*x**5 - 60*x**4 - 70*x**3 + 60*x**2 + 65*x = 0?
-1, 0, 1, 13
Factor -2*g**3 + 38*g**2.
-2*g**2*(g - 19)
Factor b**4 - b**3 - 21*b**2 + 45*b.
b*(b - 3)**2*(b + 5)
Factor q**3 + 55*q**2.
q**2*(q + 55)
Factor j**2/2 + 20*j + 72.
(j + 4)*(j + 36)/2
Factor -r**2 + 55*r + 114.
-(r - 57)*(r + 2)
Factor 3*i**2/5 + 87*i/5 - 18.
3*(i - 1)*(i + 30)/5
Factor -4*u**2 + 244*u + 3168.
-4*(u - 72)*(u + 11)
Factor 3*z**2/5 + 69*z/5 - 810.
3*(z - 27)*(z + 50)/5
Find f, given that 3*f**4/2 + 147*f**3 - 303*f**2/2 - 297*f = 0.
-99, -1, 0, 2
Factor b**4/5 + 4*b**3/5 + b**2 + 2*b/5.
b*(b + 1)**2*(b + 2)/5
Suppose -b**2 + 385*b - 3016 = 0. What is b?
8, 377
Factor -4*w**4 - 104*w**3 - 516*w**2 - 720*w.
-4*w*(w + 3)**2*(w + 20)
Factor -3*s**4/5 + 282*s**3/5 - 8928*s**2/5 + 98022*s/5 - 89373/5.
-3*(s - 31)**3*(s - 1)/5
Factor 44*n**4 - 40*n**3 - 52*n**2 + 48*n.
4*n*(n - 1)**2*(11*n + 12)
Factor x**3/3 + 6*x**2 + 15*x.
x*(x + 3)*(x + 15)/3
What is z in -25*z**5/4 - 285*z**4/4 - 961*z**3/4 - 951*z**2/4 - 137*z/2 - 6 = 0?
-6, -4, -1, -1/5
Suppose -2*w**2/15 - 74*w/15 - 572/15 = 0. What is w?
-26, -11
Let 2*k**3/9 + 10*k**2/3 - 52*k + 800/9 = 0. Calculate k.
-25, 2, 8
Let -32*p**3 + 912*p**2 - 450*p + 56 = 0. What is p?
1/4, 28
Factor -2*b**4/3 - 10*b**3/3 + 16*b**2/3 + 8*b.
-2*b*(b - 2)*(b + 1)*(b + 6)/3
Factor 5*s**3 + 920*s**2.
5*s**2*(s + 184)
Factor -k**2/3 - 52*k/3.
-k*(k + 52)/3
Suppose -2*z**2 - 444*z + 896 = 0. What is z?
-224, 2
Factor -3*x**3 + 13*x**2 - 35*x/4 - 25/2.
-(2*x - 5)**2*(3*x + 2)/4
Solve 6*g**4 + 2*g**3 - 38*g**2 - 58*g - 24 = 0 for g.
-4/3, -1, 3
Factor 4*n**3 + 8*n**2 - 60*n - 144.
4*(n - 4)*(n + 3)**2
Factor -2*q**2/5 - 48*q/5 - 46/5.
-2*(q + 1)*(q + 23)/5
Factor -2*p**2/11 + 16*p/11.
-2*p*(p - 8)/11
Factor 2*j**3/3 - 2*j**2 - 308*j/3.
2*j*(j - 14)*(j + 11)/3
Determine b, given that 4*b**3/3 + 16*b**2 + 48*b + 128/3 = 0.
-8, -2
Factor 6*r**2/7 + 34*r/3 + 184/7.
2*(r + 3)*(9*r + 92)/21
Determine q so that -q**2/2 + 418*q - 835/2 = 0.
1, 835
Factor 5*w**2 - 11830*w + 6997445.
5*(w - 1183)**2
Suppose 3*c**3/4 - 15*c**2/8 - 33*c/8 - 3/2 = 0. What is c?
-1, -1/2, 4
Factor -k**4/2 + 27*k**3/2 - 75*k**2/2 + 73*k/2 - 12.
-(k - 24)*(k - 1)**3/2
Let -3*p**5 - 402*p**4 - 12642*p**3 + 55068*p**2 - 70587*p + 28566 = 0. What is p?
-69, 1, 2
Factor -361*z**3/2 - 95*z**2 + 434*z - 196.
-(z + 2)*(19*z - 14)**2/2
Determine s, given that -2*s**2 - 628*s + 630 = 0.
-315, 1
Suppose -