**2/2 + 2542*h - 3230882.
-(h - 2542)**2/2
Determine v, given that -v**4/4 + v**3 + 3*v**2/2 - 9*v + 27/4 = 0.
-3, 1, 3
Factor -2*a**3 + 10*a**2/3 - 4*a/3.
-2*a*(a - 1)*(3*a - 2)/3
Solve -98*g**5 - 51898*g**4 - 133022*g**3 - 114958*g**2 - 37952*g - 4216 = 0 for g.
-527, -1, -2/7
Find v, given that 5*v**4 + 45*v**3 - 115*v**2 - 45*v + 110 = 0.
-11, -1, 1, 2
Factor 2*m**2/7 + 230*m/7 - 1968/7.
2*(m - 8)*(m + 123)/7
Solve 2*i**2/3 + 728*i/3 + 66248/3 = 0 for i.
-182
Solve 2*z**2/5 - 3412*z/5 - 6832/5 = 0.
-2, 1708
Solve 2*o**5 - 6*o**4 - 26*o**3 + 94*o**2 - 96*o + 32 = 0.
-4, 1, 4
What is x in -x**3/3 - 61*x**2/3 - 1144*x/3 - 2028 = 0?
-26, -9
Suppose 3*m**3 + 219*m**2 = 0. Calculate m.
-73, 0
Determine s, given that 4*s**3 - 68*s**2 + 64*s = 0.
0, 1, 16
Suppose 2*o**3/5 - 634*o**2/5 + 51182*o/5 - 147894/5 = 0. Calculate o.
3, 157
Suppose -z**5 - 50*z**4 - 590*z**3 - 1420*z**2 + 4815*z - 2754 = 0. Calculate z.
-34, -9, 1
Factor 10*t**4/3 + 53*t**3/3 + 55*t**2/3 + 4*t.
t*(t + 1)*(t + 4)*(10*t + 3)/3
Let 21*x**4/2 - 228*x**3 + 1404*x**2 - 1680*x - 600 = 0. What is x?
-2/7, 2, 10
Let 3*k**4 + 3*k**3 = 0. What is k?
-1, 0
Suppose -2*z**3/21 - 46*z**2/21 + 72*z/7 = 0. Calculate z.
-27, 0, 4
Factor 25*t**4/4 - 20*t**3 - 19*t**2 - 4*t.
t*(t - 4)*(5*t + 2)**2/4
Suppose 9*s**3 - 123*s**2 - 192*s + 180 = 0. Calculate s.
-2, 2/3, 15
Factor -5*t**2 - 14690*t - 10789805.
-5*(t + 1469)**2
Find l such that 5*l**5 - 50*l**4 - 720*l**3 + 10240*l**2 - 40960*l + 53760 = 0.
-14, 4, 12
Find w, given that -w**5/3 + w**4 - 2*w**3/3 = 0.
0, 1, 2
Factor -2*k**2 + 1002*k - 1996.
-2*(k - 499)*(k - 2)
Find k such that 4*k**2 + 1040*k + 67600 = 0.
-130
Let 3*z**4 - 144*z**3 - 453*z**2 - 306*z = 0. Calculate z.
-2, -1, 0, 51
Let 2*y**5/3 - 2*y**4 - 6*y**3 + 46*y**2/3 + 16*y - 24 = 0. Calculate y.
-2, 1, 3
Solve -45*w**4 + 2305*w**3 - 8745*w**2 - 8745*w + 2350 = 0.
-1, 2/9, 5, 47
Determine q so that -8*q**4 + 344*q**3 + 6*q**2 - 256*q - 86 = 0.
-1/2, 1, 43
Factor 2*d**5 - 576*d**3 + 41472*d.
2*d*(d - 12)**2*(d + 12)**2
Factor 2*y**5 + 40*y**4 + 288*y**3 + 896*y**2 + 1024*y.
2*y*(y + 4)**3*(y + 8)
What is c in -2*c**4/3 + 266*c**3/3 + 362*c**2 + 1366*c/3 + 548/3 = 0?
-2, -1, 137
Suppose -3*f**4 - 6*f**3 + 6*f + 3 = 0. What is f?
-1, 1
Factor j**2/5 + 12*j/5 + 11/5.
(j + 1)*(j + 11)/5
Let 7*f**3/5 + 208*f**2/5 + 163*f - 50 = 0. Calculate f.
-25, -5, 2/7
Factor 3*p**2/2 + 75*p/2 - 39.
3*(p - 1)*(p + 26)/2
Find j, given that 2*j**4/17 - 16*j**3/17 - 48*j**2/17 + 64*j/17 + 160/17 = 0.
-2, 2, 10
Factor -j**2/11 + 1786*j/11 - 797449/11.
-(j - 893)**2/11
Suppose 15*g**4 - 417*g**3 + 1077*g**2 - 675*g = 0. What is g?
0, 1, 9/5, 25
Determine d so that 4*d**4 + 48*d**3 + 204*d**2 + 368*d + 240 = 0.
-5, -3, -2
Factor 5*i**2 + 8500*i + 3612500.
5*(i + 850)**2
Determine r so that -r**3 + 18*r**2 - 24*r - 128 = 0.
-2, 4, 16
Factor -w**5 - 6*w**4 - 12*w**3 - 8*w**2.
-w**2*(w + 2)**3
Find g such that -g**5 - 2*g**4/3 + g**3 + 2*g**2/3 = 0.
-1, -2/3, 0, 1
Let -100*d**2 - 22040*d - 1214404 = 0. What is d?
-551/5
Factor 16*f**2 - 272*f + 1156.
4*(2*f - 17)**2
Suppose -3*c**2 + 234*c - 456 = 0. Calculate c.
2, 76
Solve 5*b**2 + 490*b = 0 for b.
-98, 0
Factor j**5/8 - 7*j**4/4 + 33*j**3/4 - 27*j**2/2 - 27*j/8 + 81/4.
(j - 6)*(j - 3)**3*(j + 1)/8
Factor 3*u**4 + 3*u**3.
3*u**3*(u + 1)
Let 6*g**5 - 584*g**4 + 190*g**3 + 388*g**2 = 0. What is g?
-2/3, 0, 1, 97
Find u such that -6*u**3 - 165*u**2 - 72*u + 243 = 0.
-27, -3/2, 1
Solve -2*d**2 + 14*d - 12 = 0.
1, 6
Suppose -5*u**4 - 2975*u**3 + 5970*u**2 = 0. Calculate u.
-597, 0, 2
Determine l so that -l**2/4 + 985*l/2 - 970225/4 = 0.
985
Find t such that 5*t**4/3 + 410*t**3/3 - 1265*t**2/3 + 850*t/3 = 0.
-85, 0, 1, 2
Solve -2*x**3/3 - 34*x**2/3 - 104*x/3 = 0 for x.
-13, -4, 0
Find g, given that 3*g**4/4 + 45*g**3/2 - 981*g**2/4 + 690*g - 468 = 0.
-39, 1, 4
Let -2*r**2 + 486*r - 964 = 0. Calculate r.
2, 241
Find g, given that 5*g**3 + 2215*g**2 - 13425*g + 20205 = 0.
-449, 3
Factor -2*r**3 - 98*r**2 - 534*r - 774.
-2*(r + 3)**2*(r + 43)
Factor -2*y**4/7 - 8*y**3/7 - 8*y**2/7.
-2*y**2*(y + 2)**2/7
What is m in m**5/7 + 27*m**4/7 + 171*m**3/7 + 373*m**2/7 + 228*m/7 = 0?
-19, -4, -3, -1, 0
What is j in 2*j**2/15 - 104*j/3 + 344/5 = 0?
2, 258
Factor 15*s**3/7 - 1389*s**2/7 - 4878*s/7 - 1728/7.
3*(s - 96)*(s + 3)*(5*s + 2)/7
Factor 4*h**4 - 88*h**3 + 724*h**2 - 2640*h + 3600.
4*(h - 6)**2*(h - 5)**2
Factor -3*f**2/2 - 39*f - 75/2.
-3*(f + 1)*(f + 25)/2
What is u in -3*u**2 + 558*u - 25947 = 0?
93
Suppose 5*v**3 + 20*v**2 + 20*v = 0. Calculate v.
-2, 0
Find a such that -9*a**4/5 - 12*a**3/5 + 48*a**2/5 + 48*a/5 - 48/5 = 0.
-2, 2/3, 2
Find z, given that 4*z**5 - 4*z**4 - 16*z**3 + 16*z**2 = 0.
-2, 0, 1, 2
Factor -4*t**4 - 36*t**3 + 4*t**2 + 36*t.
-4*t*(t - 1)*(t + 1)*(t + 9)
Factor -2*h**3/21 - 834*h**2/7 - 4986*h/7 - 7470/7.
-2*(h + 3)**2*(h + 1245)/21
Determine m, given that 3*m**2/7 - 48*m/7 + 144/7 = 0.
4, 12
What is f in 4*f**2 + 108*f + 200 = 0?
-25, -2
Factor -49*b**4 - 518*b**3 - 1509*b**2 - 740*b - 100.
-(b + 5)**2*(7*b + 2)**2
What is y in -4*y**3 - 12*y**2 + 96*y - 112 = 0?
-7, 2
Suppose -45*v**2/4 + 39*v/2 + 6 = 0. What is v?
-4/15, 2
What is a in 3*a**5/4 + 21*a**4/4 + 15*a**3/4 - 129*a**2/4 - 63*a/2 + 54 = 0?
-4, -3, 1, 2
Find l such that 5*l**3/3 - 335*l**2 + 22445*l - 1503815/3 = 0.
67
Solve s**4/8 + s**3/2 - 11*s**2/8 + 3*s/4 = 0 for s.
-6, 0, 1
Solve n**3 - 4*n**2 + 4*n = 0.
0, 2
What is f in f**3/2 + 29*f**2/2 + 147*f/2 + 207/2 = 0?
-23, -3
Suppose 2*d**5 + 166*d**4/5 + 382*d**3/5 + 50*d**2 - 32*d/5 - 56/5 = 0. Calculate d.
-14, -1, 2/5
Factor l**2/11 - 24*l/11 + 80/11.
(l - 20)*(l - 4)/11
What is h in -2*h**4/9 + 14*h**3/9 = 0?
0, 7
Factor -2*z**3/7 + 60*z**2/7 - 298*z/7 + 240/7.
-2*(z - 24)*(z - 5)*(z - 1)/7
Factor -5*t**3 - 65*t**2 + 45*t + 585.
-5*(t - 3)*(t + 3)*(t + 13)
Solve z**3/8 + 3617*z**2/8 + 409060*z + 408608 = 0 for z.
-1808, -1
Find s, given that -2*s**4/17 - 164*s**3/17 - 4680*s**2/17 - 51376*s/17 - 140608/17 = 0.
-26, -4
Determine h so that 3*h**3 + 123*h**2 + 1425*h + 3249 = 0.
-19, -3
Let o**4/3 + 62*o**3/3 + 340*o**2 + 600*o = 0. Calculate o.
-30, -2, 0
Determine z, given that -z**2/5 + 186*z - 929/5 = 0.
1, 929
Solve 4*w**2 - 272*w + 268 = 0 for w.
1, 67
Factor 2*f**2/3 + 772*f/3.
2*f*(f + 386)/3
Suppose 2*f**5/11 - 158*f**4/11 = 0. What is f?
0, 79
Solve 125*k**3 + 900*k**2 - 780*k + 160 = 0 for k.
-8, 2/5
Solve -2*j**2 - 22716*j - 64502082 = 0 for j.
-5679
Factor 5*l**3 - 255*l**2 + 3120*l + 3380.
5*(l - 26)**2*(l + 1)
Factor 2*z**2/3 + 1648*z/3 + 339488/3.
2*(z + 412)**2/3
Suppose 3*z**4 - 72*z**3 + 123*z**2 + 198*z = 0. Calculate z.
-1, 0, 3, 22
Determine w so that -4*w**3 - 20*w**2 + 68*w + 84 = 0.
-7, -1, 3
Determine f, given that -f**2/6 - 7*f/3 + 17/2 = 0.
-17, 3
Let -5*n**4 + 45*n**3 - 70*n**2 = 0. What is n?
0, 2, 7
Factor 2*m**2 - 90*m - 6308.
2*(m - 83)*(m + 38)
Solve -4*b**5 - 20*b**4 + 32*b**3 + 48*b**2 = 0.
-6, -1, 0, 2
Suppose 60*w**2 - 65*w - 70 = 0. Calculate w.
-2/3, 7/4
Let 3*t**4 + 39*t**3 - 387*t**2 + 645*t - 300 = 0. What is t?
-20, 1, 5
Find c such that -2*c**3/5 - 276*c**2/5 + 1442*c/5 + 1716/5 = 0.
-143, -1, 6
Factor -2*d**2/15 - 2048*d/15 + 410/3.
-2*(d - 1)*(d + 1025)/15
Let -u**5 + 103*u**4 - 3824*u**3 + 59720*u**2 - 310896*u - 374544 = 0. Calculate u.
-1, 18, 34
Let 2*a**3 - 4*a**2 - 8*a + 16 = 0. Calculate a.
-2, 2
Let r**2/2 + 5882*r + 17298962 = 0. What is r?
-5882
Let -11*s**4/3 - 255*s**3 - 633*s**2 - 1547*s/3 - 134 = 0. Calculate s.
-67, -1, -6/11
Find f such that -5*f**3/2 + 5885*f**2/2 + 11785*f/2 + 5895/2 = 0.
-1, 1179
Suppose -2*u**4/9 + 8*u**3/9 + 14*u**2/3 + 8*u/9 - 56/9 = 0. Calculate u.
-2, 1, 7
Factor -o**5/3 - 9*o**4 - 25*o**3 + 2483*o**2/3 + 2704*o - 26364.
-(o - 6)**2*(o + 13)**3/3
Factor 4*m**4 + 316*m**3 + 312*m**2.
4*m**2*(m + 1)*(m + 78)
Suppose -n**2 + 30*n - 125 = 0. What is n?
5, 25
Let 2*r**5/11 - 34*r**4/11 + 58*r**3/11 + 34*r**2/11 - 60*r/11 = 0. What is r?
-1, 0, 1, 2, 15
Solve -16*t**5/3 - 56*t**4/3 - 25*t**3/3 - t**2 = 0 for t.
-3, -1/4, 0
Factor -3*d**3/5 - 219*d**2/5 - 777*d + 4107/5.
-3*(d - 1)*(d + 37)**2/5
Factor 95*j**3/2 - 469*j**2/2 + 270*j + 18.
(j - 3)*(j - 2)*(95*j + 6)/2
Solve 2*r**3/15 - 532*r**2/15 + 11968*r/5 - 23232/5 = 0.
2, 132
Determine n