- 43*m**3/2 - 5*m**2 + 375*m/4 - 125/2 = 0. Calculate m.
-10, -5, 1
Let -2*l**4 - 132*l**3 + 134*l**2 = 0. What is l?
-67, 0, 1
Factor -12*v**3 - 224*v**2 + 76*v.
-4*v*(v + 19)*(3*v - 1)
Suppose -2*n**2/9 - 8*n - 136/9 = 0. Calculate n.
-34, -2
Factor h**5/7 - 9*h**3/7 - 4*h**2/7 + 12*h/7.
h*(h - 3)*(h - 1)*(h + 2)**2/7
Determine o, given that -5*o**2 - 15*o + 350 = 0.
-10, 7
Factor -3*j**3 + 36*j - 48.
-3*(j - 2)**2*(j + 4)
Factor 5*d**2 + 140*d.
5*d*(d + 28)
Suppose 16*m**5 - 108*m**4 - 76*m**3 + 868*m**2 + 1020*m + 200 = 0. Calculate m.
-2, -1, -1/4, 5
Factor 5*r**4 + 300*r**3 + 2670*r**2 - 58100*r + 55125.
5*(r - 9)*(r - 1)*(r + 35)**2
Solve -5*n**2 - 1700*n - 144500 = 0 for n.
-170
Determine o, given that -o**2/7 + 24*o/7 + 76 = 0.
-14, 38
Factor -326*x**2 - 2278*x/7 + 4/7.
-2*(x + 1)*(1141*x - 2)/7
Find i, given that 2*i**5/5 + 36*i**4/5 + 92*i**3/5 + 24*i**2/5 - 94*i/5 - 12 = 0.
-15, -2, -1, 1
Factor -22*m**2/5 + 12*m/5.
-2*m*(11*m - 6)/5
Find y such that 3*y**4 - 45*y**3 - 54*y**2 + 96*y = 0.
-2, 0, 1, 16
Determine o so that 5*o**2 - 2790*o = 0.
0, 558
What is n in -3*n**5 - 210*n**4 - 4572*n**3 - 28014*n**2 + 32799*n = 0?
-29, -13, 0, 1
Determine w so that -w**3/5 + 4*w**2/5 - w/5 - 6/5 = 0.
-1, 2, 3
Solve 4*k**5 - 36*k**4 + 44*k**3 + 84*k**2 = 0 for k.
-1, 0, 3, 7
Factor -t**5/8 + 37*t**4/8 + 79*t**3/4 + 121*t**2/4 + 163*t/8 + 41/8.
-(t - 41)*(t + 1)**4/8
Factor -2*r**5/11 + 228*r**4/11.
-2*r**4*(r - 114)/11
Determine w so that 5*w**3 - 250*w**2 + 4085*w - 21660 = 0.
12, 19
Solve 3*s**4/5 - 6*s**3 + 63*s**2/5 + 12*s/5 - 84/5 = 0.
-1, 2, 7
Factor 5*y**4 - 60*y**3 + 175*y**2 - 120*y.
5*y*(y - 8)*(y - 3)*(y - 1)
Determine q, given that -2*q**2/15 - 572*q/5 - 122694/5 = 0.
-429
Suppose -2*t**2/3 + 8*t/3 + 10/3 = 0. Calculate t.
-1, 5
What is f in -256*f**2/9 - 448*f - 1764 = 0?
-63/8
Suppose 2*w**5/11 - 6*w**4/11 - 4*w**3/11 + 24*w**2/11 - 16*w/11 = 0. Calculate w.
-2, 0, 1, 2
Factor -w**3 - 99*w**2 - 2499*w - 2401.
-(w + 1)*(w + 49)**2
Determine i so that -3*i**3 - 30*i**2 - 21*i + 54 = 0.
-9, -2, 1
Suppose -4*x**4 + 112*x**3 - 584*x**2 - 112*x + 588 = 0. Calculate x.
-1, 1, 7, 21
Determine b, given that -2*b**3/5 + 94*b**2/5 - 1056*b/5 - 1152/5 = 0.
-1, 24
Determine v, given that -2*v**4 + 720*v**3 - 63342*v**2 - 262808*v - 198744 = 0.
-3, -1, 182
Suppose -c**3/5 + 12*c**2 + 387*c/5 + 594/5 = 0. What is c?
-3, 66
Let -4*n**2 + 24*n - 32 = 0. What is n?
2, 4
Solve 2*g**3/11 + 128*g**2/11 + 250*g/11 + 124/11 = 0 for g.
-62, -1
Solve -d**5/3 + 1451*d**4/3 - 524167*d**3/3 - 1585583*d**2/3 - 5816*d/3 + 2114116/3 = 0 for d.
-2, 1, 727
Let -4*p**3 - 48*p**2 - 108*p + 160 = 0. Calculate p.
-8, -5, 1
Find m, given that m**3/6 + 45*m**2/2 + 67*m/3 = 0.
-134, -1, 0
Factor 3*d**2 - 60*d.
3*d*(d - 20)
Factor o**5/3 + 7*o**4/3 + 11*o**3/3 + 5*o**2/3.
o**2*(o + 1)**2*(o + 5)/3
Factor 5*v**4 + 10*v**3 - 15*v**2.
5*v**2*(v - 1)*(v + 3)
Factor -2*n**3/13 - 44*n**2/13 - 242*n/13.
-2*n*(n + 11)**2/13
Solve -5*q**2/4 - 3*q - 1 = 0.
-2, -2/5
Solve 5*v**3 - 5*v = 0 for v.
-1, 0, 1
Determine s, given that -3*s**3 - 93*s**2/2 - 159*s - 231/2 = 0.
-11, -7/2, -1
Factor -g**5 + 6*g**4 - g**3 - 24*g**2 - 16*g.
-g*(g - 4)**2*(g + 1)**2
Determine w, given that 2*w**4/9 - 20*w**3/9 - 2*w**2/3 + 64*w/9 - 40/9 = 0.
-2, 1, 10
Factor -3*u**4/4 - 87*u**3/4 + 45*u**2/2.
-3*u**2*(u - 1)*(u + 30)/4
Solve -2*h**5/9 - 668*h**4/9 - 1328*h**3/9 + 4*h**2/9 + 1330*h/9 + 664/9 = 0 for h.
-332, -1, 1
Factor t**5 - 2*t**3 + t.
t*(t - 1)**2*(t + 1)**2
Find q such that -9*q**3/7 + 246*q**2/7 + 429*q/7 + 174/7 = 0.
-1, -2/3, 29
Find o such that -3*o**5 + 9*o**4 + 3*o**3 - 33*o**2 + 36*o - 12 = 0.
-2, 1, 2
Let -u**2/3 - 79*u/3 - 154/3 = 0. Calculate u.
-77, -2
Suppose -2*f**5 - 20*f**4 - 76*f**3 - 136*f**2 - 114*f - 36 = 0. Calculate f.
-3, -2, -1
Factor -p**2/3 + 19*p/3.
-p*(p - 19)/3
What is k in -3*k**2/7 + 13956*k/7 - 16230828/7 = 0?
2326
Determine x so that 3*x**3 + 159*x**2 + 1584*x + 4428 = 0.
-41, -6
Suppose -4*c**4 + 28*c**3 = 0. Calculate c.
0, 7
Suppose -3*b**4 - 51*b**3 - 237*b**2 - 189*b = 0. Calculate b.
-9, -7, -1, 0
Factor -4*u**2 + 52*u - 160.
-4*(u - 8)*(u - 5)
Factor 3*s**2/2 - 12*s - 30.
3*(s - 10)*(s + 2)/2
Factor -p**2 + 1722*p - 741321.
-(p - 861)**2
Factor 2*x**2 - 5244*x + 3437442.
2*(x - 1311)**2
Factor -m**2/8 + 11*m/4 - 12.
-(m - 16)*(m - 6)/8
Factor -12*f**2/11 + 10*f/11 + 78/11.
-2*(f - 3)*(6*f + 13)/11
Suppose -3*m**2 + 33*m + 78 = 0. What is m?
-2, 13
Factor 5*q**4 + 10*q**3 - 35*q**2 - 100*q - 60.
5*(q - 3)*(q + 1)*(q + 2)**2
Factor -8*d**3 + 366*d**2 + 860*d + 192.
-2*(d - 48)*(d + 2)*(4*d + 1)
Factor p**5 - 2*p**4 - 8*p**3.
p**3*(p - 4)*(p + 2)
Suppose -2*g**2/13 - 3534*g/13 - 7060/13 = 0. What is g?
-1765, -2
Factor -c**2 - 3*c + 28.
-(c - 4)*(c + 7)
Find q, given that 2*q**3/13 + 120*q**2/13 + 2400*q/13 + 16000/13 = 0.
-20
Solve 45*q**2 - 1070*q - 240 = 0.
-2/9, 24
Suppose 8*y**3/15 - 8458*y**2/5 + 6705608*y/5 + 5030792/15 = 0. Calculate y.
-1/4, 1586
Factor 2*m**5/7 + 8*m**4/7 - 16*m**3/7 - 20*m**2/7 + 46*m/7 - 20/7.
2*(m - 1)**3*(m + 2)*(m + 5)/7
Factor -2*m**2/11 - 26*m/11 - 24/11.
-2*(m + 1)*(m + 12)/11
Find f such that -8*f**5 + 6*f**4 + 26*f**3 - 2*f**2 - 18*f - 4 = 0.
-1, -1/4, 1, 2
Factor i**4/4 + 35*i**3/2 - 18*i**2 - 35*i/2 + 71/4.
(i - 1)**2*(i + 1)*(i + 71)/4
Find p such that 9*p**5 - 129*p**4/2 + 112*p**3 - 77*p**2 + 23*p - 5/2 = 0.
1/3, 1/2, 1, 5
Let -k**3/3 - 8*k**2/3 - 5*k = 0. What is k?
-5, -3, 0
What is n in -3*n**2/5 + 42*n/5 - 147/5 = 0?
7
Let -2*h**5/21 + 976*h**4/21 - 40974*h**3/7 + 313932*h**2/7 - 812160*h/7 + 691200/7 = 0. Calculate h.
2, 3, 240
Let t**4/3 - 1328*t**3/3 + 196248*t**2 - 87523072*t/3 + 172701776/3 = 0. What is t?
2, 442
Determine d, given that -d**2/3 + 2*d/3 + 5 = 0.
-3, 5
Let 9*u**5 + 150*u**4 - 399*u**3 + 12*u**2 + 228*u = 0. What is u?
-19, -2/3, 0, 1, 2
Factor 5*y**5 + 40*y**4 + 60*y**3.
5*y**3*(y + 2)*(y + 6)
Factor -g**3 - 85*g**2 - 1848*g - 1764.
-(g + 1)*(g + 42)**2
Find p such that 5*p**2 - 390*p + 385 = 0.
1, 77
Factor 3*q**3 + 6*q**2 - 24*q.
3*q*(q - 2)*(q + 4)
Let -k**2 = 0. Calculate k.
0
Factor -3*t**3 - 118*t**2 - 153*t - 38.
-(t + 1)*(t + 38)*(3*t + 1)
Factor 3*q**2/8 - 27*q/8.
3*q*(q - 9)/8
Find p, given that -2*p**2 - 40*p + 42 = 0.
-21, 1
Factor -s**5 - 4*s**4 - 6*s**3 - 4*s**2 - s.
-s*(s + 1)**4
Suppose 4*s**3 + 412*s**2 + 10812*s + 10404 = 0. What is s?
-51, -1
Factor -3*n**3/2 + 12*n**2 + 57*n/2 + 15.
-3*(n - 10)*(n + 1)**2/2
Let -k**2/2 + 8*k - 24 = 0. Calculate k.
4, 12
Let 2*x**2/9 - 110*x/3 + 328/9 = 0. What is x?
1, 164
What is b in -b**3 + 25*b**2 = 0?
0, 25
Determine o, given that -5*o**2 + 3375*o = 0.
0, 675
Find m such that -4*m**2 - 100*m/7 - 48/7 = 0.
-3, -4/7
Suppose -i**5/8 - 7*i**4/2 + 3*i**3/8 + 41*i**2/4 - 7*i = 0. What is i?
-28, -2, 0, 1
Factor -4*x**3 + 7044*x**2 - 3104640*x + 3097600.
-4*(x - 880)**2*(x - 1)
Factor b**4 + 12*b**3 + 22*b**2 - 84*b + 49.
(b - 1)**2*(b + 7)**2
Factor 3*t**3/2 - 120*t**2 + 699*t/2 - 231.
3*(t - 77)*(t - 2)*(t - 1)/2
Find z such that 4*z**5/7 - 54*z**4/7 - 4*z**3/7 + 390*z**2/7 = 0.
-5/2, 0, 3, 13
Suppose -2*a**5/3 - 86*a**4/3 - 1436*a**3/3 - 11572*a**2/3 - 44770*a/3 - 66550/3 = 0. Calculate a.
-11, -5
Factor 3*u**2 - 267*u + 264.
3*(u - 88)*(u - 1)
Factor -3*l**3 + 2160*l**2 - 4311*l + 2154.
-3*(l - 718)*(l - 1)**2
Determine z so that -3*z**5 + 21*z**4 - 30*z**3 - 6*z**2 + 33*z - 15 = 0.
-1, 1, 5
Suppose -h**4/8 + h**3/8 + h**2/2 - h/2 = 0. What is h?
-2, 0, 1, 2
Solve -3*s**4/5 + 45*s**3 - 222*s**2/5 = 0 for s.
0, 1, 74
Suppose -b**4/9 - 2*b**3/9 + b**2/9 + 2*b/9 = 0. What is b?
-2, -1, 0, 1
Factor 2*p**5/9 + 746*p**4/9 + 34844*p**3/3 + 726516*p**2 + 17338362*p + 16623378.
2*(p + 1)*(p + 93)**4/9
Find k, given that -2*k**3/15 + 22*k**2/3 + 244*k/5 = 0.
-6, 0, 61
Determine c so that 4*c**4 - 384*c**3 - 4*c**2 + 384*c = 0.
-1, 0, 1, 96
What is m in 5*m**5 - 20*m**4 - 195*m**3 + 630*m**2 = 0?
-6, 0, 3, 7
Factor 3*s**4 - 24*s**3 - 57*s**2 - 30*s.
3*s*(s - 10)*(s + 1)**2
Determine y, given that -4*y**2 + 124*y - 792 = 0.
9, 22
Factor u**5 + 19*u**4 + 39*u**3 - 315*u**2.
u**2*(u - 3)*(u + 7)*(u + 15)
Suppose 5*s**5 - 40*s**4 - 325*s**3 = 0. What is s?
-5, 0, 13
Factor 4*i**3 - 8*i**2 - 52*i - 40.
4*(i - 5)*(i + 1)*(i + 2)
Find x, given that