 v, given that 2*v**2/13 - 320*v/13 + 318/13 = 0.
1, 159
Let y**5/2 + 51*y**4/5 - 228*y**3 + 1265*y**2 - 4425*y/2 = 0. What is y?
-177/5, 0, 5
Let -h**3/9 + 13*h/9 - 4/3 = 0. Calculate h.
-4, 1, 3
Solve -4*t**3 - 4*t**2 + 24*t = 0 for t.
-3, 0, 2
Let -h**5/7 + 278*h**4/7 - 2760*h**3 - 278*h**2/7 + 19321*h/7 = 0. What is h?
-1, 0, 1, 139
Factor 4*p**5 + 9*p**4 + 6*p**3 + p**2.
p**2*(p + 1)**2*(4*p + 1)
Find q such that -2*q**2 + 56*q - 54 = 0.
1, 27
Solve -s**4 + 14*s**3 + 40*s**2 - 608*s - 1920 = 0.
-4, 10, 12
Factor -2*h**3/7 - 30*h**2/7 + 66*h/7 - 34/7.
-2*(h - 1)**2*(h + 17)/7
Let -2*s**3 - 32*s**2 - 78*s = 0. What is s?
-13, -3, 0
Determine t, given that -t**2 + 21*t - 80 = 0.
5, 16
Solve 2*f**4 - 4*f**3 - 6*f**2 = 0.
-1, 0, 3
Suppose 2*g**3 + 10*g**2 + 14*g + 6 = 0. Calculate g.
-3, -1
Find x such that 4*x**4/3 + 32*x**3/3 + 20*x**2 - 32*x/3 - 64/3 = 0.
-4, -1, 1
Factor 2*a**4 - 512*a**3 + 33276*a**2 - 65024*a + 32258.
2*(a - 127)**2*(a - 1)**2
What is o in -60*o**4 - 291*o**3 - 144*o**2 + 513*o - 162 = 0?
-3, 2/5, 3/4
Determine o, given that 18*o**3/5 - 3*o**2 - 6*o/5 + 3/5 = 0.
-1/2, 1/3, 1
Factor 2*l**2 - 6*l - 36.
2*(l - 6)*(l + 3)
Suppose -24*a**4 - 123*a**3 + 9*a**2 + 123*a + 15 = 0. Calculate a.
-5, -1, -1/8, 1
Let 98*j**3 - 462*j**2 + 576*j - 216 = 0. Calculate j.
6/7, 3
Suppose 36*h**5 + 48*h**4 - 435*h**3 - 165*h**2 + 174*h + 72 = 0. What is h?
-4, -1/2, 2/3, 3
Factor 2*s**3 + 6*s**2 - 210*s + 650.
2*(s - 5)**2*(s + 13)
What is g in 6*g**3 + 16*g**2 - 6*g = 0?
-3, 0, 1/3
What is j in 3*j**5/4 - 16*j**4 - 57*j**3/2 - 6*j**2 + 23*j/4 = 0?
-1, 0, 1/3, 23
Determine c, given that 363*c**3/2 - 99*c**2/2 - 114*c - 18 = 0.
-6/11, -2/11, 1
Let 2*q**2/13 + 162*q/13 - 332/13 = 0. What is q?
-83, 2
Solve -4*j**4 - 96*j**3 - 588*j**2 - 1264*j - 768 = 0 for j.
-16, -4, -3, -1
Factor 2*n**4 - 74*n**3 - 260*n**2 + 800*n.
2*n*(n - 40)*(n - 2)*(n + 5)
Factor -o**2 - 1584*o - 627264.
-(o + 792)**2
Solve 3*h**3 - 273*h**2 + 264*h + 540 = 0.
-1, 2, 90
Factor k**3/4 + 15*k**2/4 + 63*k/4 + 81/4.
(k + 3)**2*(k + 9)/4
Factor -i**4 - 12*i**3 + 18*i**2 + 324*i - 729.
-(i - 3)**2*(i + 9)**2
What is n in n**2/9 - 284*n/3 + 20164 = 0?
426
Factor 2*i**4/15 - 2*i**3/3 - 34*i**2/15 + 14*i/5.
2*i*(i - 7)*(i - 1)*(i + 3)/15
Factor -h**2/8 - h/8 + 5/2.
-(h - 4)*(h + 5)/8
What is l in 6*l**5 - 32*l**4 - 94*l**3 + 144*l**2 + 200*l - 224 = 0?
-2, 1, 4/3, 7
Determine y, given that -2*y**3/15 + 4*y**2/15 + 2*y/15 - 4/15 = 0.
-1, 1, 2
Find w, given that 9*w**5/4 - 87*w**4 - 477*w**3/4 - 30*w**2 = 0.
-1, -1/3, 0, 40
Let -2*w**5 - 34*w**4 - 154*w**3 - 254*w**2 - 132*w = 0. What is w?
-11, -3, -2, -1, 0
Factor 4*j**4 + 8*j**3 - 16*j**2 - 32*j.
4*j*(j - 2)*(j + 2)**2
Factor -t**4 - 14*t**3 + 7*t**2 + 260*t.
-t*(t - 4)*(t + 5)*(t + 13)
Factor 56*y**2 + 300*y + 324.
4*(2*y + 3)*(7*y + 27)
Suppose -35*r**3 - 150*r**2 + 5*r + 180 = 0. Calculate r.
-4, -9/7, 1
Factor 3*j**3 - 51*j**2 + 225*j - 297.
3*(j - 11)*(j - 3)**2
Solve f**5 + 199*f**4/3 + 382*f**3 + 88*f**2 - 5792*f/3 - 640 = 0 for f.
-60, -4, -1/3, 2
Factor -4*v**2 + 4648*v - 1350244.
-4*(v - 581)**2
Determine b so that -2*b**4 + 22*b**3 - 58*b**2 - 70*b + 300 = 0.
-2, 3, 5
Factor -i**2 + 72*i.
-i*(i - 72)
Factor -16129*f**2/8 - 381*f/2 - 9/2.
-(127*f + 6)**2/8
Determine v, given that 2*v**2 + 74*v + 540 = 0.
-27, -10
What is r in -2*r**4/3 + 10*r**3/9 + 20*r**2/9 - 40*r/9 + 16/9 = 0?
-2, 2/3, 1, 2
Let 3*k**2 - 2016*k + 338688 = 0. Calculate k.
336
Factor r**2/4 + 1869*r/2 + 3493161/4.
(r + 1869)**2/4
Factor -2*x**2 + 374*x - 372.
-2*(x - 186)*(x - 1)
Suppose -5*y**2 + 380*y - 7220 = 0. What is y?
38
Find b such that 5*b**2 + 610*b - 615 = 0.
-123, 1
Factor -4*g**4 - 540*g**3 + 4*g**2 + 540*g.
-4*g*(g - 1)*(g + 1)*(g + 135)
Suppose -2*a**2/13 - 8*a/13 - 6/13 = 0. What is a?
-3, -1
Factor -59*h**3/5 - 57*h**2/5 + 2*h/5.
-h*(h + 1)*(59*h - 2)/5
Factor -i**2/5 - 82*i/5 - 81/5.
-(i + 1)*(i + 81)/5
Determine w so that 3*w**2/5 - 222*w/5 = 0.
0, 74
Let 2*p**3/9 - 10*p**2/9 + 4*p/9 + 16/9 = 0. What is p?
-1, 2, 4
Solve f**4 - 3*f**3 = 0 for f.
0, 3
Let 15*f**4 - 35*f**3 - 50*f**2 + 140*f - 40 = 0. Calculate f.
-2, 1/3, 2
Factor n**5/3 - 127*n**4/3 - 129*n**3 - 389*n**2/3 - 130*n/3.
n*(n - 130)*(n + 1)**3/3
Factor 2*f**4 + 10*f**3 - 2*f**2 - 10*f.
2*f*(f - 1)*(f + 1)*(f + 5)
Find g such that 4*g**4/3 - 1820*g**3/3 + 68704*g**2 + 69312*g = 0.
-1, 0, 228
Determine o so that 5*o**2 - 90*o + 280 = 0.
4, 14
Factor -4*s**2 + 92*s + 200.
-4*(s - 25)*(s + 2)
Solve 2*b**5/3 - 148*b**4 + 25514*b**3/3 - 32264*b**2 + 95048*b/3 = 0.
0, 2, 109
Factor -2*x**5/13 + 2*x**4 - 116*x**3/13 + 212*x**2/13 - 170*x/13 + 50/13.
-2*(x - 5)**2*(x - 1)**3/13
Suppose 175*x**5 + 12970*x**4 + 1460*x**3 - 1480*x**2 = 0. What is x?
-74, -2/5, 0, 2/7
Determine h, given that -h**3/5 - 2*h**2 - 16*h/5 = 0.
-8, -2, 0
Factor -c**4/2 + 3*c**3 + 15*c**2/2 + 4*c.
-c*(c - 8)*(c + 1)**2/2
Find m, given that -3*m**3/4 - 9657*m**2/4 - 10361961*m/4 - 3706128051/4 = 0.
-1073
Factor 2*p**3 + 424*p**2 - 854*p + 428.
2*(p - 1)**2*(p + 214)
Factor 2*w**3 + 36*w**2 + 64*w.
2*w*(w + 2)*(w + 16)
Determine w so that -4*w**2 + 992*w + 996 = 0.
-1, 249
Factor -2*k**2 - 166*k - 2244.
-2*(k + 17)*(k + 66)
Solve -2*i**4 + 44*i**3 - 82*i**2 + 40*i = 0.
0, 1, 20
Factor 5*b**3 - 10*b**2.
5*b**2*(b - 2)
Let 27*s**5 + 819*s**4 + 2289*s**3 - 4167*s**2 - 9288*s + 11664 = 0. Calculate s.
-27, -3, 4/3
Find x such that 15*x**3/2 + 13255*x**2/4 + 365755*x - 244205/4 = 0.
-221, 1/6
Factor -4*f**3/7 + 360*f**2/7 - 8100*f/7.
-4*f*(f - 45)**2/7
Determine h so that 3*h**5 - 150*h**4 + 1854*h**3 + 1068*h**2 - 14025*h + 11250 = 0.
-3, 1, 2, 25
Let 5*s**2 + 310*s = 0. Calculate s.
-62, 0
Factor -5*c**2 - 650*c - 21125.
-5*(c + 65)**2
Determine f, given that -2*f**2/3 + 16*f + 50/3 = 0.
-1, 25
Solve 3*u**2 + 99*u = 0.
-33, 0
Factor 2*o**4 + 18*o**3 + 14*o**2 - 18*o - 16.
2*(o - 1)*(o + 1)**2*(o + 8)
Factor -4*b**3 - 20*b**2 + 4*b + 20.
-4*(b - 1)*(b + 1)*(b + 5)
Suppose g**5/2 + 11*g**4/2 + 33*g**3/2 + 37*g**2/2 + 7*g = 0. Calculate g.
-7, -2, -1, 0
Factor 2*r**3 - 38*r**2 - 228*r - 288.
2*(r - 24)*(r + 2)*(r + 3)
What is b in 9*b**4/7 - 12*b**3 + 234*b**2/7 - 204*b/7 + 45/7 = 0?
1/3, 1, 3, 5
Factor -3*d**3/5 + 561*d**2/5 - 1101*d/5 - 333.
-3*(d - 185)*(d - 3)*(d + 1)/5
Suppose s**3/3 + 5*s**2/2 + 13*s/6 = 0. Calculate s.
-13/2, -1, 0
Find p, given that -2*p**3 - 354*p**2 - 352*p = 0.
-176, -1, 0
Factor -n**2/8 + 2361*n/4 - 5574321/8.
-(n - 2361)**2/8
Determine w so that -351*w**2/7 + 66*w/7 - 3/7 = 0.
1/13, 1/9
Find k such that 5*k**4 - 15*k**3 - 45*k**2 + 135*k = 0.
-3, 0, 3
Solve 2*n**2/7 + 472*n/7 = 0.
-236, 0
Factor 3*k**3/7 - 156*k**2/7 + 303*k/7 - 150/7.
3*(k - 50)*(k - 1)**2/7
What is w in w**5 - w**4 - 23*w**3 - 39*w**2 - 18*w = 0?
-3, -1, 0, 6
Solve -n**2 - 252*n - 15876 = 0.
-126
Suppose -5*u**4 + 30*u**3 + 85*u**2 - 30*u - 80 = 0. What is u?
-2, -1, 1, 8
Factor 3*m**3/2 + 45*m**2/2 - 78*m + 54.
3*(m - 2)*(m - 1)*(m + 18)/2
Solve 2*y**2 - 3144*y - 3146 = 0 for y.
-1, 1573
Let -4*m**2 - 40*m - 64 = 0. Calculate m.
-8, -2
Determine p, given that 4*p**5 - 116*p**4 + 724*p**3 - 1116*p**2 + 504*p = 0.
0, 1, 6, 21
Factor 3*d**4/4 - 36*d**3 + 576*d**2 - 3840*d + 9216.
3*(d - 24)*(d - 8)**3/4
Factor 3*f**3/5 + 156*f**2/5 + 1797*f/5 + 4884/5.
3*(f + 4)*(f + 11)*(f + 37)/5
Factor 3*d**3 - 345*d**2 + 678*d.
3*d*(d - 113)*(d - 2)
Let -2*c**4/9 - 22*c**3/3 - 48*c**2 + 216*c = 0. What is c?
-18, 0, 3
Suppose -3*y**2 + 72*y + 75 = 0. What is y?
-1, 25
Factor 2*w**3/5 - 82*w**2 + 806*w/5 + 1218/5.
2*(w - 203)*(w - 3)*(w + 1)/5
Factor 2*l**3/5 + 42*l**2/5 - 224*l/5 - 120.
2*(l - 6)*(l + 2)*(l + 25)/5
Let 2*x**3/13 + 82*x**2/13 - 172*x/13 = 0. Calculate x.
-43, 0, 2
Determine f so that -f**2 - 1746*f - 762129 = 0.
-873
Factor -g**3 + 183*g**2 + 186*g - 368.
-(g - 184)*(g - 1)*(g + 2)
Factor -k**3/4 + 9*k**2/4 - 5*k.
-k*(k - 5)*(k - 4)/4
Suppose -4*a**2/7 - 312*a/7 = 0. Calculate a.
-78, 0
Factor -6*u**3 + 4*u**2.
-2*u**2*(3*u - 2)
Factor 2*p**3/19 - 104*p**2/19 + 1352*p/19.
2*p*(p - 26)**2/19
Suppose 4*d**3/15 + 34*d**2/15 + 2*d = 0. Calculate d.
-15/2, -1, 0
Factor -y**3/7 + 17*y**2/7 - 71*y/7 + 55/7.
-(y - 11)*(y - 5)*(y - 1)/7
Let -3*j**3 + 77*j**2/2 + 193*j/2 + 15 = 0. Calculate j.
-2, -1/6, 15
Find i suc