*a*(a - 7)*(a - 3)**2/11
Let 2*z**2 - 276*z + 274 = 0. Calculate z.
1, 137
Factor 7082*j**3 - 14160*j**2 + 7074*j + 4.
2*(j - 1)**2*(3541*j + 2)
Factor 7*z**4 + 19*z**3 - 132*z**2 + 36*z.
z*(z - 3)*(z + 6)*(7*z - 2)
Solve -2*a**2 + 78*a + 80 = 0.
-1, 40
Suppose 2*i**3 + 6564*i**2 + 13122*i + 6560 = 0. Calculate i.
-3280, -1
Find m such that -m**2/4 + 1905*m/2 - 3629025/4 = 0.
1905
Factor -w**3/7 + 37*w**2/7 - 323*w/7 - 361/7.
-(w - 19)**2*(w + 1)/7
Factor 3*t**4/4 - 15*t**3/2 + 27*t**2/4.
3*t**2*(t - 9)*(t - 1)/4
Factor -2*r**3 - 642*r**2 + 1290*r - 646.
-2*(r - 1)**2*(r + 323)
Solve w**4 + 3*w**3 - w**2 - 3*w = 0 for w.
-3, -1, 0, 1
Factor 8*k**4 - 404*k**3 + 196*k**2 + 200*k.
4*k*(k - 50)*(k - 1)*(2*k + 1)
Factor -51842*d**3 - 52486*d**2 - 646*d - 2.
-2*(d + 1)*(161*d + 1)**2
Factor -2*t**3/5 + 20*t**2 - 194*t/5 + 96/5.
-2*(t - 48)*(t - 1)**2/5
Solve 3*a**2/4 + 27*a/4 - 15/2 = 0 for a.
-10, 1
Let 4*h**2 - 204*h + 200 = 0. What is h?
1, 50
What is g in 4*g**2 + 208*g - 212 = 0?
-53, 1
Factor -16*r**4 + 46*r**3 + 166*r**2 + 20*r.
-2*r*(r - 5)*(r + 2)*(8*r + 1)
Find h such that -h**4/4 - 7*h**3/2 - 33*h**2/4 + 20*h + 25 = 0.
-10, -5, -1, 2
Determine w so that -3*w**4 - 33*w**3 + 981*w**2 - 4767*w + 3822 = 0.
-26, 1, 7
Find y such that -4*y**5 - 720*y**4 + 8*y**3 + 1440*y**2 - 4*y - 720 = 0.
-180, -1, 1
Determine d so that 2*d**3/3 - 11998*d**2/3 + 5996000*d + 6000000 = 0.
-1, 3000
Find y such that -54*y**5 - 594*y**4 + 9270*y**3 - 8854*y**2 + 2904*y - 320 = 0.
-20, 1/3, 8
Solve q**4/3 + 11*q**3/9 - 103*q**2/3 + 85*q + 650/9 = 0 for q.
-13, -2/3, 5
What is o in 4*o**2 + 52*o + 88 = 0?
-11, -2
Factor v**2/7 - 183*v/7 - 184/7.
(v - 184)*(v + 1)/7
Suppose 2*i**5/9 - 22*i**4/3 + 206*i**3/9 + 2326*i**2/3 - 14320*i/9 + 800 = 0. What is i?
-9, 1, 20
Determine z, given that 5*z**4 + 155*z**3 - 15*z**2 - 455*z + 310 = 0.
-31, -2, 1
Factor -8*n**3 + 2508*n**2 + 3788*n - 2520.
-4*(n - 315)*(n + 2)*(2*n - 1)
Factor 2*r**2/13 - 108*r/13 + 16.
2*(r - 52)*(r - 2)/13
Solve 980*y**2 + 6868*y/7 + 8/7 = 0 for y.
-1, -2/1715
Let -3*p**3 - 87*p**2 - 678*p - 1512 = 0. Calculate p.
-18, -7, -4
Let -4*d**4 - 8*d**3 - 4*d**2 = 0. What is d?
-1, 0
Suppose -5*q**2 - 270*q - 3645 = 0. What is q?
-27
Determine o, given that 2*o**4/13 - 6*o**3/13 - 2*o**2/13 + 6*o/13 = 0.
-1, 0, 1, 3
What is m in -4*m**5/5 - 47*m**4/5 - 172*m**3/5 - 194*m**2/5 - 8*m + 5 = 0?
-5, -1, 1/4
Factor -2*l**2 - 22*l + 160.
-2*(l - 5)*(l + 16)
Factor 3*o**4/2 - 9*o**3/2 - 195*o**2.
3*o**2*(o - 13)*(o + 10)/2
What is k in 64*k**4 + 928*k**3 + 420*k**2 - 388*k + 56 = 0?
-14, -1, 1/4
Factor 2*w**3 - 44*w**2 + 210*w.
2*w*(w - 15)*(w - 7)
Solve -x**2/3 + 4840*x/3 + 4841/3 = 0 for x.
-1, 4841
Let 4*t**5/3 - 122*t**4/3 + 272*t**3/3 + 230*t**2/3 - 56*t = 0. Calculate t.
-1, 0, 1/2, 3, 28
Factor -t**3 + 38*t**2 - 107*t + 70.
-(t - 35)*(t - 2)*(t - 1)
Suppose -5*k**4 - 525*k**3 - 7265*k**2 - 12975*k - 6230 = 0. Calculate k.
-89, -14, -1
Let -5*h**2/3 + 50*h/3 - 40 = 0. Calculate h.
4, 6
Suppose -2*s**2 + 218*s + 444 = 0. What is s?
-2, 111
What is n in -2*n**2/5 - 332*n/5 + 6222/5 = 0?
-183, 17
Factor -2*s**2/7 + 164*s/7 + 166/7.
-2*(s - 83)*(s + 1)/7
Let 12*o**5 - 82*o**4 + 58*o**3 + 12*o**2 = 0. What is o?
-1/6, 0, 1, 6
Factor -i**2/3 + 106*i/3.
-i*(i - 106)/3
Factor c**2 - 30*c + 29.
(c - 29)*(c - 1)
Factor g**5/3 - 4*g**4/3 - 7*g**3.
g**3*(g - 7)*(g + 3)/3
Let 3*w**2 + 108*w = 0. What is w?
-36, 0
Solve -3*i**5 + 48*i**4 - 126*i**3 + 120*i**2 - 39*i = 0.
0, 1, 13
Factor -2*b**2/9 + 21220*b/9 - 56286050/9.
-2*(b - 5305)**2/9
Solve 2*o**5/9 + 2*o**4/3 - 26*o**3/9 - 34*o**2/3 - 8*o = 0 for o.
-3, -1, 0, 4
Suppose -512*s**4 - 32320*s**3 - 35928*s**2 - 13419*s - 1674 = 0. What is s?
-62, -3/8
What is k in 14*k**4 - 25*k**3 + 13*k**2 - 2*k = 0?
0, 2/7, 1/2, 1
Find b, given that b**4 + 14*b**3 + 48*b**2 - 14*b - 49 = 0.
-7, -1, 1
Factor 2*r**4/3 + 4*r**3 - 16*r**2 + 52*r/3 - 6.
2*(r - 1)**3*(r + 9)/3
Let 19*u**2 + 39*u + 2 = 0. Calculate u.
-2, -1/19
Determine o so that 10*o**3 + 15*o**2 - 90*o + 40 = 0.
-4, 1/2, 2
Factor -v**3/2 + 47*v**2 + 194*v + 196.
-(v - 98)*(v + 2)**2/2
Solve 15*n**5 - 610*n**4 - 5020*n**3 - 12270*n**2 - 10035*n - 2160 = 0 for n.
-3, -1, -1/3, 48
Let -w**3/3 + 109*w**2/3 = 0. Calculate w.
0, 109
Determine j so that 2*j**4 + 8*j**3 - 74*j**2 + 136*j - 72 = 0.
-9, 1, 2
Find y, given that 2*y**4/15 - 16*y**3/15 + 14*y**2/15 = 0.
0, 1, 7
Find s, given that -16*s**3 + 126*s**2 - 176*s - 24 = 0.
-1/8, 2, 6
Find w, given that -3*w**5 - 132*w**4/7 + 720*w**3/7 - 624*w**2/7 - 240*w/7 = 0.
-10, -2/7, 0, 2
Determine j so that 54*j**5 - 201*j**4 + 285*j**3 - 189*j**2 + 57*j - 6 = 0.
2/9, 1/2, 1
Find s such that -s**2/4 + 5*s/4 + 3/2 = 0.
-1, 6
Find o, given that -5*o**4 + 35*o**2 - 30*o = 0.
-3, 0, 1, 2
Let 2*n**2 + 66*n = 0. What is n?
-33, 0
What is r in -2*r**3 - 20*r**2 + 162*r + 180 = 0?
-15, -1, 6
Factor 5*b**2 - 80*b + 75.
5*(b - 15)*(b - 1)
Solve -26*i**2/11 - 82*i/11 - 12/11 = 0.
-3, -2/13
Suppose 4*l**5 - 28*l**4 + 52*l**3 - 4*l**2 - 56*l + 32 = 0. Calculate l.
-1, 1, 2, 4
Factor 132*f**4 - 256*f**3 + 116*f**2 + 8*f.
4*f*(f - 1)**2*(33*f + 2)
Factor 4*o**3 - 164*o**2 + 744*o - 864.
4*(o - 36)*(o - 3)*(o - 2)
Find l, given that 5*l**3 + 110*l**2 + 285*l = 0.
-19, -3, 0
Factor 4*y**3/5 + 28*y**2/5 - 776*y/5 - 1632/5.
4*(y - 12)*(y + 2)*(y + 17)/5
Factor -2*t**2 + 100*t - 450.
-2*(t - 45)*(t - 5)
Solve f**3/2 + 20*f**2 + 256*f + 1024 = 0.
-16, -8
Factor -2*v**3 + 342*v**2 + 1392*v + 1400.
-2*(v - 175)*(v + 2)**2
Factor -3*q**3/2 - 84*q**2 - 327*q/2 - 81.
-3*(q + 1)**2*(q + 54)/2
Suppose 2*d**4/11 + 1032*d**3/11 + 132092*d**2/11 - 267288*d/11 + 134162/11 = 0. What is d?
-259, 1
Suppose -45*j**5 - 30*j**4 + 415*j**3 + 140*j**2 - 980*j = 0. Calculate j.
-7/3, 0, 2
Let 4*s**4/7 - 40*s**3/7 + 32*s**2/7 + 424*s/7 - 60 = 0. Calculate s.
-3, 1, 5, 7
Let l**4 + l**3/2 - 17*l**2/2 - 8*l + 6 = 0. What is l?
-2, 1/2, 3
Find j, given that -2*j**2/11 + 628*j - 542278 = 0.
1727
Determine a so that -1690*a**2/7 - 1706*a/7 - 16/7 = 0.
-1, -8/845
Find j, given that 3*j**5 - 114*j**4 + 1260*j**3 - 1176*j**2 - 32928*j = 0.
-4, 0, 14
Suppose 2*x**5 + 2*x**4 - 6*x**3 - 2*x**2 + 4*x = 0. Calculate x.
-2, -1, 0, 1
Let 4*o**4 - 68*o**3 + 60*o**2 + 68*o - 64 = 0. What is o?
-1, 1, 16
Determine d, given that -3*d**4 - 756*d**3 - 49116*d**2 - 187488*d - 184512 = 0.
-124, -2
Solve 3*y**3 + 837*y**2 - 1686*y = 0 for y.
-281, 0, 2
Let -k**4/2 + 1229*k**3/2 - 613*k**2 - 1228*k = 0. Calculate k.
-1, 0, 2, 1228
Determine t, given that 3*t**2 - 72*t - 156 = 0.
-2, 26
Find c, given that 128*c**3 + 160*c**2 - 126*c - 162 = 0.
-9/8, 1
Suppose -o**4/3 + 271*o**3/3 + 91*o**2 - 271*o/3 - 272/3 = 0. What is o?
-1, 1, 272
Determine r so that -4*r**2/7 - 324*r/7 - 936/7 = 0.
-78, -3
Solve 3*n**3/7 - 103*n**2/7 - 292*n/7 - 148/7 = 0.
-2, -2/3, 37
What is w in w**3/3 - 71*w**2/9 - 188*w/9 + 52/3 = 0?
-3, 2/3, 26
Factor 32*s**4 - 524*s**3 + 192*s**2.
4*s**2*(s - 16)*(8*s - 3)
Factor -35*t**4 + 360*t**3 - 100*t**2.
-5*t**2*(t - 10)*(7*t - 2)
Factor -162*m**4/5 - 846*m**3/5 - 182*m**2/5 - 2*m.
-2*m*(m + 5)*(9*m + 1)**2/5
Factor 5*c**2 + c.
c*(5*c + 1)
What is z in -3*z**3/4 - 47*z**2/4 - 17*z + 7 = 0?
-14, -2, 1/3
Factor 1095*d**2/2 + 214*d - 2.
(5*d + 2)*(219*d - 2)/2
Solve -r**2/5 - 242*r/5 - 241/5 = 0 for r.
-241, -1
Factor 5*g**3 - 125*g**2 + 435*g - 315.
5*(g - 21)*(g - 3)*(g - 1)
Factor 6*k**2 + 1294*k + 860.
2*(k + 215)*(3*k + 2)
Determine t, given that -3*t**4 - 177*t**3 + 9*t**2 + 525*t - 354 = 0.
-59, -2, 1
Factor -4352*k**2/3 - 8*k/3 + 4/3.
-4*(32*k + 1)*(34*k - 1)/3
Solve 1458*k**5/13 - 1242*k**4/13 - 1666*k**3/13 + 1234*k**2/13 + 16*k + 8/13 = 0 for k.
-1, -2/27, 1
Let -4*b**4 - 208*b**3 - 3308*b**2 - 13904*b + 17424 = 0. Calculate b.
-22, -9, 1
Determine r, given that 3*r**5/8 + 9*r**4/8 - 27*r**3/8 - 93*r**2/8 + 27/2 = 0.
-3, -2, 1, 3
Find n such that -3*n**2/4 - 331*n/4 + 111/2 = 0.
-111, 2/3
Factor -28*i**3 + 372*i**2 + 288*i - 112.
-4*(i - 14)*(i + 1)*(7*i - 2)
Suppose -f**2/3 - 7*f/3 - 2 = 0. What is f?
-6, -1
Factor -2*z**2/9 + 152*z - 25992.
-2*(z - 342)**2/9
Factor 2*a**5 - 6*a**4 - 56*a**3 + 120*a**2.
2*a**2*(a - 6)*(a - 2)*(a + 5)
Solve m**3/2 + 3*m**2/2 - 2*m - 6 = 0 for m.
-3, -2, 2
Factor -s**2 + 324*s - 644.
-