+ 63/2.
3*(d - 14)*(d - 3)*(d + 1)/4
Let -845*o**4 - 7930*o**3 + 63295*o**2 + 384300*o - 1984500 = 0. Calculate o.
-126/13, 5
Factor 5*m**3 + 115*m**2 - 425*m - 15895.
5*(m - 11)*(m + 17)**2
Factor -b**5 - 2*b**4 + b**3 + 2*b**2.
-b**2*(b - 1)*(b + 1)*(b + 2)
Factor -b**2/6 + 13*b/6 + 19.
-(b - 19)*(b + 6)/6
Find d, given that 21*d**3/2 + 69*d**2/2 + 12*d - 30 = 0.
-2, 5/7
Suppose -16*w**3 + 94*w**2 - 68*w - 10 = 0. What is w?
-1/8, 1, 5
Let 3*s**2/2 + 159*s + 4200 = 0. Calculate s.
-56, -50
Suppose -5*u**2 + 65*u + 340 = 0. What is u?
-4, 17
What is i in -5*i**2/6 + 695*i/3 - 96605/6 = 0?
139
Solve m**3 + 3*m**2 + 2*m = 0.
-2, -1, 0
Factor 2*m**4 - 416*m**3 - 2544*m**2 - 5120*m - 3424.
2*(m - 214)*(m + 2)**3
Factor 3*g**4 - 2070*g**3 + 352911*g**2 + 1436580*g + 1444908.
3*(g - 347)**2*(g + 2)**2
Factor 2*g**2/7 - 4160*g/7 + 594.
2*(g - 2079)*(g - 1)/7
Factor 24*p**3 - 83*p**2 - 54*p + 8.
(p - 4)*(3*p + 2)*(8*p - 1)
Let -n**5 - n**4/2 + 3*n**3/2 + n**2/2 - n/2 = 0. Calculate n.
-1, 0, 1/2, 1
Factor -3*c**3/2 - 1530*c**2 - 520200*c - 58956000.
-3*(c + 340)**3/2
Solve -2*z**2 - 192*z - 376 = 0 for z.
-94, -2
Factor x**3/5 - 256*x**2/5 + 1008*x/5.
x*(x - 252)*(x - 4)/5
Factor -3*r**3/8 + 399*r**2/8.
-3*r**2*(r - 133)/8
Determine w so that 2*w**4 + 22*w**3 + 68*w**2 + 48*w = 0.
-6, -4, -1, 0
Let 5*i**2 - 95*i - 100 = 0. Calculate i.
-1, 20
Determine x so that -2*x**3/7 - 76*x**2/7 + 982*x/7 + 1056/7 = 0.
-48, -1, 11
Determine c, given that -c**2 + 2*c + 440 = 0.
-20, 22
Find p, given that p**4 + 3*p**3 - 18*p**2 - 40*p = 0.
-5, -2, 0, 4
Solve -k**4/5 + 6*k**3/5 - 12*k**2/5 + 2*k - 3/5 = 0 for k.
1, 3
What is g in 19683*g**5 - 215541*g**4 + 461712*g**3 + 731784*g**2 + 35280*g + 432 = 0?
-1, -2/81, 6
Find p, given that p**2/5 - 24*p/5 + 23/5 = 0.
1, 23
Factor -4*z**3 + 20*z**2 + 68*z - 84.
-4*(z - 7)*(z - 1)*(z + 3)
Suppose -12*s**5/7 + 10*s**4 - 94*s**3/7 + 18*s**2/7 + 26*s/7 - 8/7 = 0. Calculate s.
-1/2, 1/3, 1, 4
Suppose 4*j**5/3 + 28*j**4/3 + 28*j**3/3 - 76*j**2/3 - 64*j/3 + 80/3 = 0. What is j?
-5, -2, 1
Factor -12*o**2 - 710*o - 118.
-2*(o + 59)*(6*o + 1)
Factor -w**4/5 - 24*w**3/5 - 28*w**2 + 96*w/5 + 576/5.
-(w - 2)*(w + 2)*(w + 12)**2/5
Factor -c**3/2 - 6*c**2 + 14*c.
-c*(c - 2)*(c + 14)/2
Determine m so that 4*m**2 - 88*m + 160 = 0.
2, 20
Factor -2*z**2/3 - 724*z/3 + 242.
-2*(z - 1)*(z + 363)/3
What is z in -z**2/9 + 166*z/9 - 6889/9 = 0?
83
Find a such that -3*a**3/8 + 3093*a**2/8 - 6177*a/8 + 3087/8 = 0.
1, 1029
What is w in 31*w**2/3 + w/3 = 0?
-1/31, 0
Let 2*z**2 - 24*z - 56 = 0. What is z?
-2, 14
Factor -3*v**4/2 + 2*v**3 + 2*v**2.
-v**2*(v - 2)*(3*v + 2)/2
Let 3*f**4/5 + 11*f**3 - 489*f**2/5 + 281*f/5 + 30 = 0. What is f?
-25, -1/3, 1, 6
Solve -2*b**2/5 - 88*b/5 = 0 for b.
-44, 0
Solve -c**4/2 - c**3 + 3*c**2/2 + 4*c + 2 = 0.
-2, -1, 2
Factor -2*a**4/5 + 58*a**3/5 - 294*a**2/5 + 414*a/5.
-2*a*(a - 23)*(a - 3)**2/5
Let -5*u**5 - 75*u**4 - 285*u**3 - 365*u**2 - 150*u = 0. Calculate u.
-10, -3, -1, 0
What is n in -3*n**5 - 3*n**4 + 9*n**3 + 3*n**2 - 6*n = 0?
-2, -1, 0, 1
Suppose -p**4 - 130*p**3 - 2893*p**2 + 86580*p - 443556 = 0. Calculate p.
-74, 9
Let -2*j**3/5 - 6*j**2/5 + 26*j/5 + 6 = 0. Calculate j.
-5, -1, 3
Factor 2*m**2/9 + 250*m/9 + 248/9.
2*(m + 1)*(m + 124)/9
Factor -2*n**2/7 - 64*n/7 - 480/7.
-2*(n + 12)*(n + 20)/7
Factor -l**3 - 25*l**2 - 88*l - 84.
-(l + 2)**2*(l + 21)
Find n such that -288*n**2 + 1167*n - 60 = 0.
5/96, 4
Factor d**4 + 5*d**3 - 21*d**2 + 23*d - 8.
(d - 1)**3*(d + 8)
Factor -4*u**2 + 14208*u - 12616704.
-4*(u - 1776)**2
Factor o**3 + 3*o**2 + 3*o + 1.
(o + 1)**3
Factor -v**2 - 24*v + 256.
-(v - 8)*(v + 32)
Factor 4*q**3 + 107*q**2 + 178*q + 75.
(q + 1)*(q + 25)*(4*q + 3)
Determine i, given that 8*i**4/3 - 30*i**3 - 30*i**2 + 220*i/3 - 16 = 0.
-2, 1/4, 1, 12
Factor 2*u**3/17 - 28*u**2/17 + 6*u - 108/17.
2*(u - 9)*(u - 3)*(u - 2)/17
Factor -3*o**4 - 105*o**3 + 219*o**2 - 111*o.
-3*o*(o - 1)**2*(o + 37)
Determine l, given that -2*l**2 - 134*l - 732 = 0.
-61, -6
Suppose -p**5/7 - 18*p**4/7 - 4*p**3 + 72*p**2/7 + 128*p/7 = 0. Calculate p.
-16, -2, 0, 2
Factor 2*d**2/9 - 304*d/9.
2*d*(d - 152)/9
Suppose 4*c**2/9 - 3352*c/9 + 702244/9 = 0. Calculate c.
419
Factor -2*j**3/5 - 26*j**2/5 + 16*j/5 + 96.
-2*(j - 4)*(j + 5)*(j + 12)/5
Find u, given that -u**4/5 + 2376*u**3/5 - 2117016*u**2/5 + 838338336*u/5 - 124493242896/5 = 0.
594
Suppose -3*z**3 - 72*z**2 - 63*z + 138 = 0. What is z?
-23, -2, 1
Factor -15*r**3/4 - 21*r**2.
-3*r**2*(5*r + 28)/4
Factor 96*s**2 - 1348*s + 56.
4*(s - 14)*(24*s - 1)
Factor -g**4/9 + 23*g**3/9 - 41*g**2/3 + 181*g/9 - 80/9.
-(g - 16)*(g - 5)*(g - 1)**2/9
Suppose -15*m**3 - 25*m**2 + 210*m = 0. Calculate m.
-14/3, 0, 3
Factor -4*x**3 + 96*x**2 - 432*x - 1280.
-4*(x - 16)*(x - 10)*(x + 2)
Factor 5*s**4 + 60*s**3 + 175*s**2 + 120*s.
5*s*(s + 1)*(s + 3)*(s + 8)
Solve 10*z**4 - 1634*z**3 + 3882*z**2 - 2902*z + 644 = 0.
2/5, 1, 161
Suppose -2*d**2/11 + 32*d/11 - 30/11 = 0. Calculate d.
1, 15
Solve 3*j**2 + 18*j - 48 = 0.
-8, 2
Let 3*z**4 - 18*z**3 - 36*z**2 + 114*z - 63 = 0. Calculate z.
-3, 1, 7
Determine x, given that -x**2/2 - 794*x - 315218 = 0.
-794
Factor 4*n**2 - 424*n.
4*n*(n - 106)
Let 2*m**5 - 1382*m**4/7 + 34590*m**3/7 - 3374*m**2 - 1372*m = 0. Calculate m.
-2/7, 0, 1, 49
Factor -361*z**2/5 - 456*z/5 - 144/5.
-(19*z + 12)**2/5
Suppose -3*l**2/2 - 21*l/2 - 9 = 0. Calculate l.
-6, -1
Determine p so that -p**3/4 - 65*p**2/2 + 131*p/4 = 0.
-131, 0, 1
Factor -r**5/3 + r**3 + 2*r**2/3.
-r**2*(r - 2)*(r + 1)**2/3
Factor 2*m**4 + 164*m**3 + 5034*m**2 + 68552*m + 349448.
2*(m + 19)**2*(m + 22)**2
Factor 4*m**5 - 56*m**4 - 32*m**3 + 1472*m**2 + 4160*m + 3200.
4*(m - 10)**2*(m + 2)**3
Factor -2*c**3/7 - 6*c**2/7 - 6*c/7 - 2/7.
-2*(c + 1)**3/7
Factor -g**5/5 + g**4 - 2*g**3 + 2*g**2 - g + 1/5.
-(g - 1)**5/5
Factor 2*d**5/3 - 44*d**4/15 + 76*d**3/15 - 64*d**2/15 + 26*d/15 - 4/15.
2*(d - 1)**4*(5*d - 2)/15
Find k such that 4*k**4 - 112*k**3 + 404*k**2 - 488*k + 192 = 0.
1, 2, 24
Factor 5*q**4 - 210*q**3 + 2585*q**2 - 7980*q + 7220.
5*(q - 19)**2*(q - 2)**2
Let 2*t**2/5 + 34*t = 0. What is t?
-85, 0
Suppose n**4/3 + 475*n**3/3 - 958*n**2 + 5764*n/3 - 3848/3 = 0. Calculate n.
-481, 2
Determine n so that n**3/5 - 73*n**2/5 + 143*n/5 - 71/5 = 0.
1, 71
Find v such that 2*v**2/7 + 48*v/7 + 46/7 = 0.
-23, -1
Solve 5*m**4 - 10*m**3 - 45*m**2 + 90*m = 0 for m.
-3, 0, 2, 3
What is l in 4*l**5/11 + 25*l**4/11 + 53*l**3/11 + 47*l**2/11 + 15*l/11 = 0?
-3, -5/4, -1, 0
Factor 2*y**4/7 - 2*y**3/7 - 20*y**2/7 - 16*y/7.
2*y*(y - 4)*(y + 1)*(y + 2)/7
Factor 5*x**2 - 1060*x + 56180.
5*(x - 106)**2
What is z in 3*z**4 + 6*z**3 - 3*z**2 - 6*z = 0?
-2, -1, 0, 1
Factor -4*m**4 - 16*m**3 - 20*m**2 - 8*m.
-4*m*(m + 1)**2*(m + 2)
Factor 2*h**2/5 - 36*h - 182/5.
2*(h - 91)*(h + 1)/5
Factor 3*m**2/7 + 54*m/7.
3*m*(m + 18)/7
Determine o, given that 5*o**2 + 615*o + 1210 = 0.
-121, -2
Factor -68644*z**2 - 4192*z - 64.
-4*(131*z + 4)**2
Determine l so that 2*l**2/9 - 92*l/9 + 1058/9 = 0.
23
Factor -l**5 - 11*l**4 - 8*l**3 + 20*l**2.
-l**2*(l - 1)*(l + 2)*(l + 10)
Suppose 4*s**4 + 848*s**3 + 45784*s**2 + 89040*s + 44100 = 0. Calculate s.
-105, -1
Factor 13*c**2 - 193*c + 180.
(c - 1)*(13*c - 180)
Find q, given that 2*q**5/7 + 6*q**4/7 - 4*q**3/7 - 12*q**2/7 + 2*q/7 + 6/7 = 0.
-3, -1, 1
Factor o**2/4 + 7*o/4 + 3.
(o + 3)*(o + 4)/4
Determine z, given that -4*z**2/9 - 44*z/3 + 136/9 = 0.
-34, 1
Factor -h**4/2 - 48*h**3 - 189*h**2/2 - 47*h.
-h*(h + 1)**2*(h + 94)/2
Factor 2*f**5/23 + 18*f**4/23 - 20*f**3/23.
2*f**3*(f - 1)*(f + 10)/23
Solve -15*z**4/2 - 275*z**3 - 2775*z**2/2 - 2200*z - 930 = 0.
-31, -3, -2, -2/3
Suppose -j**4 - j**3 + 42*j**2 - 104*j + 64 = 0. Calculate j.
-8, 1, 2, 4
Factor -4*i**4 + 192*i**3 + 880*i**2 - 2496*i.
-4*i*(i - 52)*(i - 2)*(i + 6)
Suppose 12*v**3 + 736*v**2 + 944*v - 960 = 0. Calculate v.
-60, -2, 2/3
Solve 4*d**3/3 + 200*d**2/3 + 2288*d/3 - 5408/3 = 0.
-26, 2
Factor 10*x**2/13 + 1748*x/13 - 350/13.
2*(x + 175)*(5*x - 1)/13
Factor -2*r**2/3 + 436*r/3 + 442.
-2*(r - 221)*(r + 3)/3
Factor -2*t**2 - 256*t + 786.
-2*(t - 3)*(t + 131)
Factor -4*u**3 - 68*u**2 + 148*u - 76.
-4*(u - 1)**2*(u + 19)
Suppose 2*w**2/13 - 90*w/13 = 0. What is w?
0, 45
Suppose 10*z**2/7 + 26*z/7 + 12/7 = 0. Calculate z.
-2, -3/5