 + 7000.
5*(r + 5)*(r + 280)
Find d, given that -d**4 - 7*d**3 - 10*d**2 = 0.
-5, -2, 0
Factor 4*h**3 + 8*h**2 - 324*h - 648.
4*(h - 9)*(h + 2)*(h + 9)
Factor -a**3/2 - 63*a**2/2 - 480*a + 512.
-(a - 1)*(a + 32)**2/2
Factor 3*c**2 - 8826*c + 6491523.
3*(c - 1471)**2
Find u such that -u**2 - 67*u - 66 = 0.
-66, -1
Factor -3*d**3/4 - 51*d**2/4 + 243*d/4 - 189/4.
-3*(d - 3)*(d - 1)*(d + 21)/4
Determine a, given that -2*a**5/11 - 2*a**4/11 + 42*a**3/11 + 2*a**2/11 - 40*a/11 = 0.
-5, -1, 0, 1, 4
Factor -3*l**4 + 303*l**3 + 3*l**2 - 303*l.
-3*l*(l - 101)*(l - 1)*(l + 1)
Factor -4*a**5 - 36*a**4 + 88*a**3.
-4*a**3*(a - 2)*(a + 11)
Let -3*t**3 + 90*t**2 + 93*t = 0. Calculate t.
-1, 0, 31
Factor -12*b**3/7 + 62*b**2/7 - 48*b/7 - 90/7.
-2*(b - 3)**2*(6*b + 5)/7
What is j in -3*j**3/4 - 87*j**2/4 - 645*j/4 - 1425/4 = 0?
-19, -5
Factor 2*f**5/19 - 92*f**4/19 + 656*f**3/19 - 1888*f**2/19 + 2464*f/19 - 64.
2*(f - 38)*(f - 2)**4/19
Factor -5*u**4 - 35*u**3 - 20*u**2 + 60*u.
-5*u*(u - 1)*(u + 2)*(u + 6)
Suppose 3*d**4 - 99*d**3 + 441*d**2 - 597*d + 252 = 0. What is d?
1, 3, 28
Suppose 2*v**3 - 29*v**2/2 + 55*v/2 - 6 = 0. What is v?
1/4, 3, 4
Find p such that -5*p**4 - 410*p**3 - 3645*p**2 - 3240*p = 0.
-72, -9, -1, 0
Solve -5*p**4 - 105*p**3/4 - 145*p**2/4 - 15*p/2 = 0 for p.
-3, -2, -1/4, 0
Solve 63*k**3/5 + 24*k**2 - 6249*k/5 + 594/5 = 0 for k.
-11, 2/21, 9
Factor n**3/4 + 47*n**2/2 + 528*n - 1152.
(n - 2)*(n + 48)**2/4
Factor 2*p**3/7 + 56*p**2 - 2456*p/7 - 6464/7.
2*(p - 8)*(p + 2)*(p + 202)/7
Find x, given that -2*x**3/17 + 54*x**2/17 + 116*x/17 = 0.
-2, 0, 29
Solve f**4/2 + 31*f**3/2 + 59*f**2/2 + 29*f/2 = 0 for f.
-29, -1, 0
Factor -4*g**3 + 40*g**2.
-4*g**2*(g - 10)
Suppose 2*x**5/5 + 128*x**4/5 + 2696*x**3/5 + 21344*x**2/5 + 71552*x/5 + 86528/5 = 0. What is x?
-26, -4
Factor -4*u**3 + 152*u**2 + 4*u - 152.
-4*(u - 38)*(u - 1)*(u + 1)
Factor 2*h**5 + 158*h**4/3 + 1066*h**3/3 + 338*h**2/3.
2*h**2*(h + 13)**2*(3*h + 1)/3
What is h in -h**5 - 323*h**4 - 4375*h**3 - 15141*h**2 = 0?
-309, -7, 0
Factor -4*a**2 - 3724*a + 3728.
-4*(a - 1)*(a + 932)
What is z in 2*z**4/3 + 452*z**3/3 + 25538*z**2/3 = 0?
-113, 0
Factor -4*i**2 - 1752*i - 1748.
-4*(i + 1)*(i + 437)
Suppose 2*b**5/5 - 4*b**4/5 - 12*b**3/5 + 16*b**2/5 + 2*b - 12/5 = 0. What is b?
-2, -1, 1, 3
Factor 81*m**2/2 - 1131*m/4 - 21/4.
3*(m - 7)*(54*m + 1)/4
Suppose -5*m**5 + 5*m**4 + 130*m**3 + 120*m**2 = 0. What is m?
-4, -1, 0, 6
Let -5*h**5 + 480*h**4 - 1370*h**3 - 2340*h**2 + 1375*h + 1860 = 0. Calculate h.
-1, 1, 4, 93
Factor -u**4 - 18*u**3 - 15*u**2 + 34*u.
-u*(u - 1)*(u + 2)*(u + 17)
Factor -3*j**2 + 177*j.
-3*j*(j - 59)
Find t such that -t**5/6 - 3*t**4/2 - 23*t**3/6 + 3*t**2/2 + 18*t + 18 = 0.
-3, -2, 2
Find a, given that 16*a**5 - 236*a**4 - 3660*a**3 - 10900*a**2 - 2500*a = 0.
-5, -1/4, 0, 25
Find i such that i**5/2 - 17*i**4/4 + 9*i**3 + i**2/2 - 19*i/2 + 15/4 = 0.
-1, 1/2, 1, 3, 5
Suppose -j**3/4 - 17*j**2/2 - 65*j/4 - 8 = 0. Calculate j.
-32, -1
What is i in 2*i**2/5 - 6*i/5 = 0?
0, 3
Factor 2*h**2/5 - 784*h/5 + 76832/5.
2*(h - 196)**2/5
Suppose -2*c**5/3 - 236*c**4/9 - 58*c**3 - 148*c**2/9 = 0. Calculate c.
-37, -2, -1/3, 0
Factor 2*t**3 + 130*t**2/3 + 944*t/9 + 608/9.
2*(t + 19)*(3*t + 4)**2/9
Let 5*i**5 + 15*i**4 - 40*i**3 - 120*i**2 + 80*i + 240 = 0. Calculate i.
-3, -2, 2
Determine z so that -2*z**2/3 + 1330*z/3 = 0.
0, 665
Determine v, given that -2*v**4/3 + 229*v**3/6 + 109*v**2 + 60*v = 0.
-2, -3/4, 0, 60
Factor -4*g**2/5 + 316*g/5 - 2016/5.
-4*(g - 72)*(g - 7)/5
Factor -4*i**2 + 456*i - 12996.
-4*(i - 57)**2
Find k, given that -k**5/2 + 5*k**4/2 + 5*k**3/2 - 25*k**2/2 - 2*k + 10 = 0.
-2, -1, 1, 2, 5
Factor -2*c**4/15 + 14*c**3/15 - 8*c**2/5.
-2*c**2*(c - 4)*(c - 3)/15
Factor b**3/8 + 403*b**2/8 + 803*b/8 + 401/8.
(b + 1)**2*(b + 401)/8
Factor 3*u**4 + 24*u**3 - 72*u**2 - 96*u + 240.
3*(u - 2)**2*(u + 2)*(u + 10)
Suppose -2*i**4/5 + 52*i**2/5 - 10 = 0. What is i?
-5, -1, 1, 5
Suppose 15*m**2/2 - 87*m/2 - 63 = 0. What is m?
-6/5, 7
Let -b**2/3 - 614*b/3 - 94249/3 = 0. Calculate b.
-307
Factor -3*n**2 + 6630*n - 3663075.
-3*(n - 1105)**2
Factor -2*y**4 + 22*y**3 + 414*y**2 + 1490*y + 1100.
-2*(y - 22)*(y + 1)*(y + 5)**2
What is f in -3*f**2/7 - 972*f/7 + 975/7 = 0?
-325, 1
Factor 3*x**3 + 39*x**2 + 138*x + 144.
3*(x + 2)*(x + 3)*(x + 8)
Determine b so that -100*b**5 + 4920*b**4 + 48784*b**3 + 129440*b**2 + 81408*b + 14848 = 0.
-4, -2/5, 58
Suppose 2*n**4/11 - 30*n**3/11 + 76*n**2/11 - 48*n/11 = 0. What is n?
0, 1, 2, 12
Find m such that 3*m**3 + 37*m**2/4 - 45*m/4 - 1 = 0.
-4, -1/12, 1
Solve 4*r**3/3 - 20*r**2/3 + 16*r/3 = 0.
0, 1, 4
Factor -44*s**3/5 - 188*s**2/5 - 168*s/5.
-4*s*(s + 3)*(11*s + 14)/5
Find r such that -2*r**2/5 - 508*r/5 - 1506/5 = 0.
-251, -3
Factor 4*b**2 + 15048*b + 14152644.
4*(b + 1881)**2
Factor -2*a**2/9 - 10*a/9 - 8/9.
-2*(a + 1)*(a + 4)/9
Let 3*q**3 - 897*q**2 + 1785*q - 891 = 0. What is q?
1, 297
Factor -3*q**5 + 42*q**4.
-3*q**4*(q - 14)
Solve 3*v**2/8 - 123*v/4 - 249/8 = 0.
-1, 83
What is p in 2*p**2 - 1933*p = 0?
0, 1933/2
Suppose q**3 - 25*q**2 - 218*q - 192 = 0. Calculate q.
-6, -1, 32
Determine q so that -q**3/4 - 19*q**2/4 + q/4 + 19/4 = 0.
-19, -1, 1
Factor -242*h**3/3 - 29920*h**2/3 + 10904*h/3 - 992/3.
-2*(h + 124)*(11*h - 2)**2/3
Suppose -r**5/3 + 3*r**4 - 7*r**3/3 - 15*r**2 - 28*r/3 = 0. Calculate r.
-1, 0, 4, 7
Factor 2*a**3/17 + 438*a**2/17 - 882*a/17 + 26.
2*(a - 1)**2*(a + 221)/17
What is w in 2*w**5/3 + 34*w**4/3 + 152*w**3/3 - 8*w**2/3 - 640*w/3 - 512/3 = 0?
-8, -2, -1, 2
What is k in 5*k**3/6 + 235*k**2/3 = 0?
-94, 0
Determine j, given that 2*j**2/9 - 8*j/9 + 2/3 = 0.
1, 3
Find a, given that -3*a**2/5 + 1749*a/5 - 3486/5 = 0.
2, 581
Let -4*g**2 + 864*g - 46656 = 0. What is g?
108
Determine j so that 4*j**3 + 56*j**2 - 128*j = 0.
-16, 0, 2
Let -2*g**5/7 + 18*g**4/7 - 6*g**3 + 38*g**2/7 - 12*g/7 = 0. Calculate g.
0, 1, 6
Factor -2*a**5 - 8*a**4 + 12*a**3 + 64*a**2 + 70*a + 24.
-2*(a - 3)*(a + 1)**3*(a + 4)
Find v, given that 4*v**3 - 28*v**2 - 4*v + 28 = 0.
-1, 1, 7
Factor 2*w**3/5 - 6*w/5 + 4/5.
2*(w - 1)**2*(w + 2)/5
Determine q, given that 2*q**4 - 78*q**3 - 172*q**2 + 312*q + 656 = 0.
-2, 2, 41
Find b, given that b**5/10 + b**4 - 99*b**3/10 - 182*b**2/5 - 14*b/5 + 48 = 0.
-15, -2, 1, 8
Solve -2*a**3/13 + 24*a**2/13 + 54*a/13 + 28/13 = 0.
-1, 14
Factor -9*p**3 + 654*p**2 - 2295*p + 1242.
-3*(p - 69)*(p - 3)*(3*p - 2)
Factor -2*m**2/15 - 262*m/15 + 532/15.
-2*(m - 2)*(m + 133)/15
Determine r so that 5*r**2 - 3615*r + 3610 = 0.
1, 722
Factor -w**3/3 - 11*w**2 - 57*w + 1805/3.
-(w - 5)*(w + 19)**2/3
Factor 4*j**4/9 - 1912*j**3/9 - 1916*j**2/9.
4*j**2*(j - 479)*(j + 1)/9
Factor -5*m**5 - 50*m**4 - 120*m**3 + 80*m**2 + 560*m + 480.
-5*(m - 2)*(m + 2)**3*(m + 6)
Solve -14*j**3 + 326*j**2 - 680*j + 168 = 0.
2/7, 2, 21
What is g in -g**5/2 - 2*g**4 + 17*g**3/2 + 52*g**2 + 82*g + 40 = 0?
-4, -2, -1, 5
Factor 3*z**4 + 98*z**3 + 727*z**2 - 1292*z - 1156.
(z - 2)*(z + 17)**2*(3*z + 2)
Factor -2*v**2/11 + 136*v/11 - 390/11.
-2*(v - 65)*(v - 3)/11
Suppose -b**5/2 + b**3 - b/2 = 0. What is b?
-1, 0, 1
Factor 4*d**2/7 - 8920*d/7 + 4972900/7.
4*(d - 1115)**2/7
Solve -m**4/3 + 119*m**3/3 - 3599*m**2/3 + 3481*m/3 = 0.
0, 1, 59
Determine z so that -11*z**5/4 + 17*z**4/4 + 5*z**3/4 - 17*z**2/4 + 3*z/2 = 0.
-1, 0, 6/11, 1
Factor -b**3 + 84*b**2 + b - 84.
-(b - 84)*(b - 1)*(b + 1)
Factor -b**2/3 + 316*b/3 + 317/3.
-(b - 317)*(b + 1)/3
Let -22*q**2/25 - 106*q/25 + 4/5 = 0. Calculate q.
-5, 2/11
Factor -4*m**4/5 + 8*m**3/5 + 4*m**2/5 - 8*m/5.
-4*m*(m - 2)*(m - 1)*(m + 1)/5
What is h in h**3/4 + 205*h**2/4 + 9975*h/4 - 55125/4 = 0?
-105, 5
Factor -s**5 + 142*s**4 - 7936*s**3 + 217088*s**2 - 2883584*s + 14680064.
-(s - 32)**4*(s - 14)
Factor -y**3/2 + 6*y**2 - 9*y/2 - 11.
-(y - 11)*(y - 2)*(y + 1)/2
Factor 5*y**3 + 5*y**2 - 25*y + 15.
5*(y - 1)**2*(y + 3)
Solve -16*b**2 + 36*b - 8 = 0 for b.
1/4, 2
Suppose 3*v**3/5 - 51*v**2/5 + 81*v/5 + 27 = 0. What is v?
-1, 3, 15
Determine t, given that 4*t**4/5 + 196*t**3 + 59532*t**2/5 - 60516*t/5 = 0.
-123, 0, 1
Factor 4*i**4 - 2*i**3 - 327*i**2/4 - 161*i/4 - 5.
(i - 5)*(i + 4)*(4*i + 1)**2/4
Factor 3*k**4 + 867*k**3 + 10116*k**2 + 40080*k + 53184.
3*(k + 4)**3*(k + 277)
Factor -3*p**4 - 27*p**3 + 3*p**2 + 27*p.
-3*p*(