*c - 55.
5*(c - 11)*(c - 1)**4
Factor -o**3 + 153*o**2 - 5775*o - 5929.
-(o - 77)**2*(o + 1)
Solve -3*h**4 + 143*h**3 - 1353*h**2 + 793*h + 420 = 0.
-1/3, 1, 12, 35
Find a, given that -735*a**5/2 + 231*a**4 + 1767*a**3/2 + 267*a**2 - 30*a - 12 = 0.
-1, -2/7, 1/5, 2
Factor g**3/7 + 496*g**2/7 - 1495*g/7 + 998/7.
(g - 2)*(g - 1)*(g + 499)/7
Suppose -6*l**3 - 35*l**2 - 14*l + 55 = 0. Calculate l.
-5, -11/6, 1
Factor -3*x**2 + 252*x + 516.
-3*(x - 86)*(x + 2)
What is n in -4*n**2 - 27232*n - 46348864 = 0?
-3404
Determine c so that 4*c**3 + 110*c**2 + 158*c + 52 = 0.
-26, -1, -1/2
Factor 3*d**4 + 21*d**3 + 18*d**2.
3*d**2*(d + 1)*(d + 6)
Factor -7*u**2 - 1024*u - 292.
-(u + 146)*(7*u + 2)
Solve 5*b**3 - 80*b**2 - 20*b + 320 = 0.
-2, 2, 16
Factor 5*w**3 - 15*w**2.
5*w**2*(w - 3)
Let -135*f**4 - 32760*f**3 + 43845*f**2 - 18290*f + 2440 = 0. What is f?
-244, 1/3, 2/3
Factor u**5 + 3*u**4 + 2*u**3 - 2*u**2 - 3*u - 1.
(u - 1)*(u + 1)**4
Factor -4*x**2 + 404*x + 824.
-4*(x - 103)*(x + 2)
Factor 9*h**4/2 - 15*h**3 + 13*h**2/2 + 10*h + 2.
(h - 2)**2*(3*h + 1)**2/2
Suppose -3*t**2 + 756*t - 47628 = 0. What is t?
126
Solve 3*p**2 - 36*p + 96 = 0 for p.
4, 8
Solve -8*f**5 - 66*f**4 - 200*f**3 - 270*f**2 - 152*f - 24 = 0.
-3, -2, -1, -1/4
Let -3*o**3 + 93*o**2 - 165*o - 261 = 0. What is o?
-1, 3, 29
Factor 7*w**4/3 - 11*w**3/3 + 4*w**2/3.
w**2*(w - 1)*(7*w - 4)/3
Factor -4*t**4 - 16*t**3.
-4*t**3*(t + 4)
Determine l so that 2*l**5 + 1052*l**4 + 6266*l**3 + 13544*l**2 + 12488*l + 4160 = 0.
-520, -2, -1
Suppose 3*b**4 + 51*b**3 + 135*b**2 + 129*b + 42 = 0. Calculate b.
-14, -1
Factor -h**2/3 - 14*h/3 - 16.
-(h + 6)*(h + 8)/3
What is t in 3*t**2 + 213*t + 804 = 0?
-67, -4
Factor -2*y**2/13 + 136*y/13 - 1862/13.
-2*(y - 49)*(y - 19)/13
Factor -5*i**2 - 15*i - 10.
-5*(i + 1)*(i + 2)
Suppose -2*p**3/7 + 102*p**2/7 - 198*p/7 + 14 = 0. Calculate p.
1, 49
Suppose -c**2/2 + 10*c - 99/2 = 0. What is c?
9, 11
Find w such that -3*w**5 + 66*w**4 - 300*w**3 - 1230*w**2 + 6783*w + 7644 = 0.
-4, -1, 7, 13
Let -r**3/10 - 1427*r**2/5 = 0. Calculate r.
-2854, 0
Find o such that -3*o**3/2 - 276*o**2 + 3*o/2 + 276 = 0.
-184, -1, 1
Let -5*t**5 + 175*t**4 - 1415*t**3 + 4325*t**2 - 5080*t + 2000 = 0. Calculate t.
1, 4, 25
Factor -2*h**5/3 + 56*h**4/3 - 512*h**3/3 + 512*h**2.
-2*h**2*(h - 12)*(h - 8)**2/3
Find k such that k**2/3 - 3*k - 22/3 = 0.
-2, 11
Factor 4*n**4 + 84*n**3.
4*n**3*(n + 21)
Suppose -4*q**5 + 2*q**4 + 4*q**3 - 2*q**2 = 0. What is q?
-1, 0, 1/2, 1
Factor -d**2 + 27*d.
-d*(d - 27)
Factor -2*v**2 - 66*v + 140.
-2*(v - 2)*(v + 35)
Solve -l**5/5 - 186*l**4/5 - 8064*l**3/5 + 55296*l**2/5 = 0.
-96, 0, 6
Solve -4*g**4 - 64*g**3 - 248*g**2 - 320*g - 132 = 0 for g.
-11, -3, -1
Solve 5*b**5 - 75*b**4 + 355*b**3 - 325*b**2 - 1500*b + 2500 = 0.
-2, 2, 5
Find f such that -f**3/2 - 9*f**2/2 + f/2 + 9/2 = 0.
-9, -1, 1
What is a in 2*a**2/9 - 26*a/3 + 148/9 = 0?
2, 37
Solve 338*q**3 + 546*q**2 + 240*q + 32 = 0.
-1, -4/13
Determine p, given that 4*p**5 - 12*p**4 - 24*p**3 + 32*p**2 = 0.
-2, 0, 1, 4
Suppose -3*a**3 + 1521*a**2 - 4542*a + 3024 = 0. What is a?
1, 2, 504
Let -18*j**5 - 186*j**4 - 553*j**3/2 + 1219*j**2 + 426*j + 36 = 0. What is j?
-6, -1/6, 2
Let -j**3/5 + 148*j**2/5 + 6707*j/5 + 67146/5 = 0. Calculate j.
-19, 186
Factor j**3/2 - 7*j**2/2 + 4*j + 8.
(j - 4)**2*(j + 1)/2
Factor 2*a**3/11 + 26*a**2/11 + 112*a/11 + 160/11.
2*(a + 4)**2*(a + 5)/11
Factor 23*n**2/4 - 63*n/4 - 9/2.
(n - 3)*(23*n + 6)/4
Suppose 4*o**5/3 + 124*o**4/3 + 24*o**3 - 1424*o**2/3 + 544*o/3 + 640 = 0. Calculate o.
-30, -4, -1, 2
Let -3*u**4/8 + 129*u**3/2 - 9873*u**2/8 + 13665*u/2 - 11325/2 = 0. What is u?
1, 10, 151
Factor t**2/2 + 781*t + 609961/2.
(t + 781)**2/2
Solve k**2/4 + 1089*k/4 - 545/2 = 0 for k.
-1090, 1
Factor 4*n**5 - 8*n**4.
4*n**4*(n - 2)
Factor -14*h**3/3 - 46*h**2/3 - 40*h/3 - 8/3.
-2*(h + 1)*(h + 2)*(7*h + 2)/3
Solve -2*r**4/11 - 128*r**3/11 - 490*r**2/11 - 604*r/11 - 240/11 = 0.
-60, -2, -1
Factor -x**3/2 + 7*x**2/2 + x/2 - 7/2.
-(x - 7)*(x - 1)*(x + 1)/2
Solve -2*n**4 - 20*n**3 + 54*n**2 + 72*n = 0.
-12, -1, 0, 3
Determine m so that -10*m**2/9 - 2966*m/9 + 132 = 0.
-297, 2/5
Factor 3*c**4/4 + 6*c**3 - 3*c**2/4 - 6*c.
3*c*(c - 1)*(c + 1)*(c + 8)/4
Factor -4*q**2/3 + 172*q/3 + 176/3.
-4*(q - 44)*(q + 1)/3
Determine g, given that -3*g**4/4 + 9*g**3/2 + 45*g**2/4 + 6*g = 0.
-1, 0, 8
Let -867*g**4 - 8874*g**3 - 9855*g**2 - 1956*g - 108 = 0. What is g?
-9, -1, -2/17
Suppose -18*n**5/13 + 174*n**4/13 - 110*n**3/13 + 18*n**2/13 = 0. Calculate n.
0, 1/3, 9
What is m in 3*m**5 + 27*m**4/2 - 51*m**3/2 + 9*m**2 = 0?
-6, 0, 1/2, 1
Factor -5*b**2 + 990*b.
-5*b*(b - 198)
Factor 5*f**2 + 50*f - 55.
5*(f - 1)*(f + 11)
Factor 4*v**3 + 23*v**2/2 - 35*v/2 + 2.
(v - 1)*(v + 4)*(8*v - 1)/2
Let -3*c**4 - 51*c**3 + 114*c**2 + 1080*c = 0. Calculate c.
-18, -4, 0, 5
Find u such that -u**3/12 - 15*u**2/4 - 11*u/3 = 0.
-44, -1, 0
What is v in -11*v**3/6 + 201*v**2/2 + 55*v/3 = 0?
-2/11, 0, 55
Factor -2685*q**3 + 5380*q**2 - 2705*q + 10.
-5*(q - 1)**2*(537*q - 2)
Factor 2*j**5/9 + 110*j**4/3 + 6050*j**3/3 + 332750*j**2/9.
2*j**2*(j + 55)**3/9
What is r in 12*r**4/7 + 82*r**3/7 + 128*r**2/7 - 88*r/7 - 32 = 0?
-4, -2, 7/6
Let k**4/4 - 61*k**3/4 - 139*k**2/4 + 829*k/4 - 315/2 = 0. Calculate k.
-5, 1, 2, 63
Factor c**2/4 - 61*c/4 + 59/2.
(c - 59)*(c - 2)/4
Let -v**4/5 + 7*v**3/5 - 11*v**2/5 + v = 0. Calculate v.
0, 1, 5
Factor -3*r**4/4 + 105*r**3/4 - 1053*r**2/4 + 507*r/4 + 6591.
-3*(r - 13)**3*(r + 4)/4
Find r such that r**3/2 - 6*r**2 + 27*r/2 = 0.
0, 3, 9
Let -2*n**5 - 10*n**4 - 12*n**3 + 4*n**2 + 14*n + 6 = 0. What is n?
-3, -1, 1
Factor w**4/8 - 39*w**3/8 + 177*w**2/8 - 241*w/8 + 51/4.
(w - 34)*(w - 3)*(w - 1)**2/8
Suppose 5*d**3 - 720*d**2 = 0. What is d?
0, 144
Factor 5*q**4 + 10*q**3 - 20*q**2 - 40*q.
5*q*(q - 2)*(q + 2)**2
Find d, given that 4*d**5 + 608*d**4 - 2472*d**3 + 3728*d**2 - 2492*d + 624 = 0.
-156, 1
Solve 2*q**4 - 62*q**3 + 444*q**2 + 640*q - 1024 = 0 for q.
-2, 1, 16
Find i, given that 4*i**5/7 - 144*i**4/7 + 1284*i**3/7 + 440*i**2/7 - 4176*i/7 + 2592/7 = 0.
-2, 1, 18
Factor u**2/6 + 27*u/2 + 40/3.
(u + 1)*(u + 80)/6
Find z, given that -5*z**4 - 290*z**3 - 6120*z**2 - 54910*z - 171955 = 0.
-17, -7
Factor -2*w**2/15 - 58*w/15.
-2*w*(w + 29)/15
Find r such that 6*r**5/5 - 24*r**4/5 - 6*r**3/5 + 24*r**2/5 = 0.
-1, 0, 1, 4
Factor -8*m**3 - 922*m**2 + 1642*m + 468.
-2*(m - 2)*(m + 117)*(4*m + 1)
Find c such that -14*c**2/11 - 74*c/11 - 20/11 = 0.
-5, -2/7
Let j**2 + 9*j - 22 = 0. What is j?
-11, 2
Determine o, given that -7*o**4/2 + 191*o**3/2 - 118*o**2 + 26*o = 0.
0, 2/7, 1, 26
Factor 2*j**4 - 130*j**3 + 128*j**2.
2*j**2*(j - 64)*(j - 1)
Find t, given that -5*t**4 - 55*t**3 - 145*t**2 + 55*t + 150 = 0.
-6, -5, -1, 1
Factor -3*f**2 + 354*f - 2640.
-3*(f - 110)*(f - 8)
Factor 2*c**5/7 + 60*c**4/7 + 220*c**3/7 + 320*c**2/7 + 30*c + 52/7.
2*(c + 1)**4*(c + 26)/7
Let 3*u**2/4 - 3573*u/2 + 4255443/4 = 0. What is u?
1191
Factor 2*w**4 - 4*w**3 - 24*w**2 + 80*w - 64.
2*(w - 2)**3*(w + 4)
Solve 5*m**4 + 45*m**3 + 120*m**2 + 100*m = 0.
-5, -2, 0
Suppose -g**5/5 - 2*g**4 - 12*g**3/5 + 58*g**2/5 - 7*g = 0. What is g?
-7, -5, 0, 1
Suppose -d**5/2 + 143*d**4/2 - 3384*d**3 + 51840*d**2 + 55296*d = 0. Calculate d.
-1, 0, 48
Factor -2*q**3/11 + 1130*q**2/11 - 162400*q/11 + 784000/11.
-2*(q - 280)**2*(q - 5)/11
Suppose -y**3 + 7*y**2 - 14*y + 8 = 0. What is y?
1, 2, 4
Factor -4*g**2/9 + 224*g/9 - 220/9.
-4*(g - 55)*(g - 1)/9
Suppose -32*y**5/7 + 272*y**4/7 - 498*y**3/7 + 82*y**2/7 + 152*y/7 + 24/7 = 0. Calculate y.
-1/4, 1, 2, 6
Let -4*q**2 - 65*q + 324 = 0. Calculate q.
-81/4, 4
Suppose -8*s**3/3 - 25*s**2 - 9*s = 0. Calculate s.
-9, -3/8, 0
Factor -2*w**4 - 20*w**3 - 34*w**2 - 16*w.
-2*w*(w + 1)**2*(w + 8)
Factor -4*w**2 - 128*w - 924.
-4*(w + 11)*(w + 21)
Suppose -2*m**2 - 16*m + 66 = 0. Calculate m.
-11, 3
Suppose 2*b**5 - 10*b**4 - 2228*b**3 + 32644*b**2 + 2226*b - 32634 = 0. Calculate b.
-37, -1, 1, 21
Determine d, given that 2*d**2/7 + 120*d/7 + 1800/7 = 0.
-30
Solve -254*k**3/3 + 8*k**2/3 = 0 for k.
0, 4/127
Factor s**4/2 - 13*s**3/2 + 30*s**2 - 56*s + 32.
(s - 4)**3*(s - 1)/2
Factor -x**4/3 - 8*x**3/3 + 49*x**2/3 + 272*x/3 - 320.
-(x - 5)*(x - 3)*(x + 8)**2/3
Factor -4*m**4 - 92*m**3 - 252*m**2 - 244