 + 389*v - 390.
(v - 1)*(v + 390)
Find n, given that -2*n**2/3 - 20*n/3 - 14 = 0.
-7, -3
Factor -5*v**4 + 65*v**3 - 155*v**2 - 225*v.
-5*v*(v - 9)*(v - 5)*(v + 1)
Factor -b**5/4 + 10*b**4 - 77*b**3/4 + 19*b**2/2.
-b**2*(b - 38)*(b - 1)**2/4
Factor -j**4/2 - 37*j**3/2 - 105*j**2/2 - 103*j/2 - 17.
-(j + 1)**3*(j + 34)/2
Factor 3*w**2/5 + 42*w/5 - 96/5.
3*(w - 2)*(w + 16)/5
Factor 2*t**3 - 8*t**2 + 8*t.
2*t*(t - 2)**2
Factor -3*o**3/7 + 195*o**2/7 - 3264*o/7 + 3072/7.
-3*(o - 32)**2*(o - 1)/7
Determine a so that 20*a**3/9 + 38*a**2/3 + 64*a/9 - 10/3 = 0.
-5, -1, 3/10
Solve 5*q**3 - 440*q**2 - 5*q + 440 = 0 for q.
-1, 1, 88
Find w such that -2*w**2/11 - 18*w/11 + 72/11 = 0.
-12, 3
Factor 2*v**4/3 - 8*v**3 - 248*v**2/3 + 192*v.
2*v*(v - 18)*(v - 2)*(v + 8)/3
Factor -2*g**2/7 + 18*g - 972/7.
-2*(g - 54)*(g - 9)/7
Solve -a**5 - 9*a**4 + 57*a**3 + 313*a**2 - 1656*a + 1296 = 0.
-9, 1, 4
Determine l so that -4*l**2 + 5080*l + 5084 = 0.
-1, 1271
Solve -g**2/2 + g/2 + 3 = 0 for g.
-2, 3
Suppose 5*z**4 + 10*z**3 - 65*z**2 - 70*z + 120 = 0. What is z?
-4, -2, 1, 3
Find r, given that 2*r**5/9 + 16*r**4/3 - 2*r**3/9 - 16*r**2/3 = 0.
-24, -1, 0, 1
Find v, given that -4*v**3/3 - 32*v**2 + 12*v + 288 = 0.
-24, -3, 3
Determine c, given that -c**2/7 + 25*c/7 - 144/7 = 0.
9, 16
Solve 14*b**5 + 36*b**4 + 30*b**3 + 8*b**2 = 0 for b.
-1, -4/7, 0
Let 2*s**4/9 - 2*s**3/9 - 4*s**2/9 = 0. What is s?
-1, 0, 2
What is y in -4*y**2/5 + 248*y/5 - 1344/5 = 0?
6, 56
Suppose -10*u**4/21 + 22*u**3/21 + 46*u**2/21 - 10*u/3 + 4/7 = 0. Calculate u.
-2, 1/5, 1, 3
What is p in -3*p**2/2 - 3159*p - 3326427/2 = 0?
-1053
Let 18*n**5 + 128*n**4 + 320*n**3 + 340*n**2 + 142*n + 12 = 0. Calculate n.
-3, -2, -1, -1/9
Let -c**5 + 29*c**4 - 81*c**3 + 79*c**2 - 26*c = 0. What is c?
0, 1, 26
Let -2*w**5/11 + 6*w**4/11 + 12*w**3/11 - 56*w**2/11 + 48*w/11 = 0. What is w?
-3, 0, 2
Factor -2*p**2 - 14*p - 12.
-2*(p + 1)*(p + 6)
Factor -o**4/2 - 17*o**3/2 - 45*o**2/2 - 43*o/2 - 7.
-(o + 1)**3*(o + 14)/2
Suppose -5*r**5 + 50*r**3 - 45*r = 0. Calculate r.
-3, -1, 0, 1, 3
Factor 20*l**5 + 75*l**4 - 20*l**3 - 320*l**2 - 240*l + 80.
5*(l - 2)*(l + 2)**3*(4*l - 1)
Determine r, given that -5*r**3 - 270*r**2 - 1875*r - 1610 = 0.
-46, -7, -1
Factor 4*t**2 + 4*t - 8.
4*(t - 1)*(t + 2)
Factor 3*k**5 + 12*k**4 + 6*k**3 - 12*k**2 - 9*k.
3*k*(k - 1)*(k + 1)**2*(k + 3)
Factor -5*v**2 + 83410*v - 347861405.
-5*(v - 8341)**2
Factor 4*t**3 - 60*t**2 + 252*t - 196.
4*(t - 7)**2*(t - 1)
Solve -b**2/2 + 105*b/2 + 53 = 0 for b.
-1, 106
Find f, given that 5*f**3 + 5*f**2 - 120*f + 180 = 0.
-6, 2, 3
Determine x so that -2*x**2/5 + 144*x/5 - 248 = 0.
10, 62
Factor -h**5 - 6*h**4 + 46*h**3 - 92*h**2 + 75*h - 22.
-(h - 2)*(h - 1)**3*(h + 11)
Let 4*m**5/3 - 116*m**4 + 11240*m**3/3 - 52584*m**2 + 252252*m + 308700 = 0. Calculate m.
-1, 21, 25
Factor 5*h**3 + 785*h**2 + 1555*h + 775.
5*(h + 1)**2*(h + 155)
Determine n so that -3*n**4 + 9*n**3 + 57*n**2 - 81*n - 270 = 0.
-3, -2, 3, 5
Solve -2*d**5 + 18*d**4 - 52*d**3 + 68*d**2 - 42*d + 10 = 0 for d.
1, 5
Factor -60*x**3 + 16*x**2 + 36*x + 8.
-4*(x - 1)*(3*x + 1)*(5*x + 2)
Factor -48*w**3 + 148*w**2 + 180*w - 16.
-4*(w - 4)*(w + 1)*(12*w - 1)
Factor 2*d**2/11 + 78*d/11 + 56.
2*(d + 11)*(d + 28)/11
Solve -4*f**5 + 79*f**4 - 180*f**3 - 130*f**2 + 184*f + 51 = 0 for f.
-1, -1/4, 1, 3, 17
Factor j**4/6 - 13*j**3/6 + 23*j**2/3 - 8*j.
j*(j - 8)*(j - 3)*(j - 2)/6
Suppose 318611987*i**5/3 + 640022908*i**4/3 + 324218051*i**3/3 + 2815334*i**2/3 + 8212*i/3 + 8/3 = 0. Calculate i.
-1, -2/683
Let s**2/2 - 19*s + 37/2 = 0. What is s?
1, 37
Factor -4*x**3 - 964*x**2 - 6552*x.
-4*x*(x + 7)*(x + 234)
Find h such that h**3/5 - 299*h**2/5 - 4*h/5 + 1196/5 = 0.
-2, 2, 299
What is d in 3*d**3 - 69*d**2 + 321*d - 255 = 0?
1, 5, 17
Factor -u**3 - 8*u**2 - 20*u - 16.
-(u + 2)**2*(u + 4)
Factor -l**2/3 - 17*l/3 - 52/3.
-(l + 4)*(l + 13)/3
Factor -u**4/4 + 5*u**3/2 - 23*u**2/4 + 7*u/2.
-u*(u - 7)*(u - 2)*(u - 1)/4
Factor -3*t**3 + 27*t**2 + 66*t.
-3*t*(t - 11)*(t + 2)
Find t, given that 9*t**5 + 574*t**4 - 128*t**3 = 0.
-64, 0, 2/9
Find r, given that 9*r**5 + 147*r**4 + 267*r**3 - 399*r**2 - 276*r + 252 = 0.
-14, -3, -1, 2/3, 1
Factor b**4 - 64*b**3 - 66*b**2 + 64*b + 65.
(b - 65)*(b - 1)*(b + 1)**2
Factor -c**3 - 219*c**2/4 - 187*c/2 - 159/4.
-(c + 1)*(c + 53)*(4*c + 3)/4
Factor y**2/2 - 17*y - 36.
(y - 36)*(y + 2)/2
Let 5*y**2 + 160*y + 875 = 0. Calculate y.
-25, -7
Solve -2*q**3/11 - 78*q**2/11 - 622*q/11 + 702/11 = 0.
-27, -13, 1
What is d in 80*d**3 - 40*d**2 - 35*d - 5 = 0?
-1/4, 1
Determine v so that -2*v**2 - 1244*v = 0.
-622, 0
Factor -3*o**2 + 284*o + 95.
-(o - 95)*(3*o + 1)
Suppose -2*g**2/5 + 32*g/5 + 32 = 0. Calculate g.
-4, 20
Factor 97*x**3/6 - 129*x**2/2 + 64*x + 2/3.
(x - 2)**2*(97*x + 1)/6
Determine h so that -h**2/7 + 31*h/7 + 360/7 = 0.
-9, 40
Factor -l**4 + 24*l**3 - 15*l**2 - 196*l + 276.
-(l - 23)*(l - 2)**2*(l + 3)
Solve 3*u**3 + 6*u**2 - 72*u = 0 for u.
-6, 0, 4
Let o**4/3 - 13*o**2/3 + 4*o = 0. What is o?
-4, 0, 1, 3
What is j in -14*j**5 - 27*j**4/2 + 227*j**3/2 + 165*j**2 - 14*j - 12 = 0?
-2, -1/4, 2/7, 3
Suppose 25*m**5 - 205*m**4 + 415*m**3 - 75*m**2 = 0. Calculate m.
0, 1/5, 3, 5
Factor -2*x**2/3 - 432*x - 69984.
-2*(x + 324)**2/3
Find u, given that u**3/4 + 39*u**2/4 - 10*u = 0.
-40, 0, 1
Suppose -x**5 - 8*x**4 - 17*x**3 - 10*x**2 = 0. Calculate x.
-5, -2, -1, 0
Suppose 1512*s**3 + 9069*s**2 + 13590*s - 27 = 0. What is s?
-3, 1/504
Suppose 4*s**2/7 - 3*s + 5/7 = 0. What is s?
1/4, 5
Let 6*s**5 + 70*s**4 + 254*s**3 + 290*s**2 + 100*s = 0. What is s?
-5, -1, -2/3, 0
Solve -v**2/4 - 24*v + 97/4 = 0.
-97, 1
Suppose -2*i**3 - 84*i**2 - 310*i - 228 = 0. Calculate i.
-38, -3, -1
Suppose x**2 + 3636*x + 3635 = 0. Calculate x.
-3635, -1
Solve -4*j**2 + 160*j + 336 = 0.
-2, 42
Factor -7*b**4 + 19*b**3 + 76*b**2 + 20*b.
-b*(b - 5)*(b + 2)*(7*b + 2)
Suppose 2*i**5/5 + 42*i**4/5 + 54*i**3 + 486*i**2/5 = 0. Calculate i.
-9, -3, 0
Factor -z**2 + 28*z.
-z*(z - 28)
Factor -4*r**4 - 40*r**3 - 144*r**2 - 224*r - 128.
-4*(r + 2)**3*(r + 4)
Factor 5*w**2/3 + 1630*w/3.
5*w*(w + 326)/3
Find r such that -r**2/7 - 181*r/7 = 0.
-181, 0
Find c, given that c**5/4 + 87*c**4/2 + 1977*c**3 + 14705*c**2/2 + 21675*c/4 = 0.
-85, -3, -1, 0
Find c such that -c**5/3 + 11*c**4/3 - 11*c**3 + 37*c**2/3 - 14*c/3 = 0.
0, 1, 2, 7
Factor -4*n**5 + 120*n**4 - 900*n**3.
-4*n**3*(n - 15)**2
Suppose 3*h**3 + 72*h**2 - 1728*h + 7680 = 0. Calculate h.
-40, 8
Factor -15*u**4/2 + 303*u**3 - 3120*u**2 + 1200*u.
-3*u*(u - 20)**2*(5*u - 2)/2
Factor -y**3 - 16*y**2 - 13*y + 30.
-(y - 1)*(y + 2)*(y + 15)
Solve -4*c**4 - 52*c**3 - 60*c**2 + 292*c - 176 = 0 for c.
-11, -4, 1
Factor 6*d**4 + 39*d**3 - 21*d**2.
3*d**2*(d + 7)*(2*d - 1)
Let -20*d**4 + 72*d**3 + 32*d**2 = 0. Calculate d.
-2/5, 0, 4
Factor -i**3/3 + 107*i**2/3 + 328*i/3 + 220/3.
-(i - 110)*(i + 1)*(i + 2)/3
Factor -3*x**4 + 9*x**3 + 27*x**2 + 15*x.
-3*x*(x - 5)*(x + 1)**2
Solve -5*i**4 - 105*i**3 - 450*i**2 = 0.
-15, -6, 0
Let k**4/4 + 35*k**3/8 + 65*k**2/4 + 175*k/8 + 39/4 = 0. What is k?
-13, -2, -3/2, -1
Factor -5*p**3 + 3605*p**2 + 14480*p + 14500.
-5*(p - 725)*(p + 2)**2
Suppose c**2/7 + 11*c/7 + 18/7 = 0. What is c?
-9, -2
Suppose -4*t**2 - 92*t + 312 = 0. What is t?
-26, 3
Suppose -3*g**5 + 48*g**4 + 360*g**3 - 5106*g**2 + 9435*g + 14850 = 0. Calculate g.
-11, -1, 5, 18
Factor -5*h**2 + 300*h - 4500.
-5*(h - 30)**2
Find o such that -3*o**4 - 106*o**3 - 1004*o**2 - 1190*o - 289 = 0.
-17, -1, -1/3
Solve 63*z**4 + 732*z**3 + 393*z**2 - 408*z - 132 = 0.
-11, -1, -2/7, 2/3
Determine o so that -2*o**5/11 + 50*o**4/11 + 58*o**3/11 - 14*o**2 - 56*o/11 + 104/11 = 0.
-2, -1, 1, 26
Solve -2*r**3 + 194*r**2 + 196*r = 0.
-1, 0, 98
Factor -2*q**2 - 120*q - 1800.
-2*(q + 30)**2
Solve 2*u**2/15 - 10*u/3 - 52/15 = 0.
-1, 26
Solve 75*z**3 + 1695*z**2 + 10368*z + 8748 = 0 for z.
-54/5, -1
Let -2*z**5/17 + 444*z**4/17 - 32856*z**3/17 + 810448*z**2/17 = 0. What is z?
0, 74
Factor 5*d**4 + 330*d**3 + 1560*d**2 + 2150*d + 915.
5*(d + 1)**2*(d + 3)*(d + 61)
Determine n, given that 3*n**4 + 72*n**3 + 279*n**2 - 2562*n - 14112 = 0.
-16, -7, 6
Suppose 795*b**2/2 + 813*b/2 + 9 = 0. What is b?
-1, -6/265
Find m such that m**5/4 - 11*m**4/4 + 11*m**3/2 + 7*m**2 - 26*m + 16 = 0.
-2, 1, 2, 8
