- 12*p**4 - 39*p**3/4 + 8619*p**2/2 - 441597*p/8 + 428415/2 = 0. Calculate p.
-20, 13
Solve -2*y**2/13 - 226*y/13 + 228/13 = 0.
-114, 1
Suppose -2*d**3 - 94*d**2 - 1430*d - 7098 = 0. Calculate d.
-21, -13
Let 17*v**4/3 + 260*v**3 + 2101*v**2/3 - 86*v = 0. Calculate v.
-43, -3, 0, 2/17
Factor y**3/6 - 7*y**2/6 - 28*y/3 - 8.
(y - 12)*(y + 1)*(y + 4)/6
Find i such that -i**4 + 34*i**3 - 253*i**2 - 612*i - 324 = 0.
-1, 18
Find s, given that -4*s**4 - 56*s**3 - 272*s**2 - 544*s - 384 = 0.
-6, -4, -2
Suppose -3*z**3/8 - 45*z**2/8 - 9*z/2 + 21/2 = 0. Calculate z.
-14, -2, 1
Determine c so that 178*c**4/3 - 530*c**3/3 + 344*c**2/3 + 8*c/3 = 0.
-2/89, 0, 1, 2
Suppose 3*m**4 - 978*m**3 + 79707*m**2 = 0. Calculate m.
0, 163
Factor m**2/5 + 96*m/5 - 1417/5.
(m - 13)*(m + 109)/5
Let q**3 - 27*q**2 + 164*q - 228 = 0. What is q?
2, 6, 19
Determine c so that 2*c**5/5 + 2*c**4 + 16*c**3/5 + 8*c**2/5 = 0.
-2, -1, 0
Suppose -3*w**3/4 - 13509*w**2/4 - 20277009*w/4 - 10145263503/4 = 0. What is w?
-1501
Factor 3*w**2 - 1518*w + 192027.
3*(w - 253)**2
Suppose 5*y**5 - 25*y**4 - 35*y**3 + 25*y**2 + 30*y = 0. What is y?
-1, 0, 1, 6
Factor 4*a**3 - 24*a**2 - 148*a - 120.
4*(a - 10)*(a + 1)*(a + 3)
Factor 7*i**3 - 388*i**2 + 907*i - 318.
(i - 53)*(i - 2)*(7*i - 3)
Factor a**4/8 - 73*a**3/8 + 795*a**2/4 - 1072*a - 1280.
(a - 32)**2*(a - 10)*(a + 1)/8
Factor -27*p**5 + 162*p**4 - 360*p**3 + 368*p**2 - 176*p + 32.
-(p - 2)**2*(3*p - 2)**3
Solve -2*w**4 + 16*w**3 + 6*w**2 - 44*w - 32 = 0.
-1, 2, 8
Factor 16*y**2 + 8348*y - 2088.
4*(y + 522)*(4*y - 1)
Find m, given that 4*m**2 - 64*m - 228 = 0.
-3, 19
What is n in -3*n**3 + 606*n**2 - 31200*n + 60000 = 0?
2, 100
Solve 2*u**5/5 + 82*u**4 + 4780*u**3 + 59900*u**2 + 280250*u + 451250 = 0 for u.
-95, -5
Factor 3*t**5/7 - 18*t**4/7 + 6*t**3 - 48*t**2/7 + 27*t/7 - 6/7.
3*(t - 2)*(t - 1)**4/7
Factor 2*x**3/15 + 188*x**2/5 + 13064*x/5 - 80656/15.
2*(x - 2)*(x + 142)**2/15
Factor -3*p**3 - 57*p**2 - 54*p.
-3*p*(p + 1)*(p + 18)
Factor -3*n**5 - 9*n**4 - 6*n**3 + 6*n**2 + 9*n + 3.
-3*(n - 1)*(n + 1)**4
Find z, given that -4*z**3 + 172*z**2 - 1488*z = 0.
0, 12, 31
Determine j, given that 4*j**2/5 + 4*j/5 - 288/5 = 0.
-9, 8
Suppose -2*q**5 + 6*q**4 + 64*q**3 + 120*q**2 + 64*q = 0. Calculate q.
-2, -1, 0, 8
Factor -6*r**3 + 171*r**2 + 267*r + 90.
-3*(r - 30)*(r + 1)*(2*r + 1)
Let -2*v**3 + 107*v**2 + 55*v - 54 = 0. Calculate v.
-1, 1/2, 54
Factor -179*d**2/2 - 5727*d/4 + 4.
-(d + 16)*(358*d - 1)/4
Let 3*w**2/7 + 7941*w/7 = 0. Calculate w.
-2647, 0
Solve 2*a**2/7 + 40*a/7 - 6 = 0.
-21, 1
Factor 20*i**2 + 76*i - 120.
4*(i + 5)*(5*i - 6)
Solve 5*a**5 + 60*a**4 + 220*a**3 + 350*a**2 + 255*a + 70 = 0 for a.
-7, -2, -1
What is o in 2*o**2 + 234*o = 0?
-117, 0
Factor -z**5/4 + 69*z**4/4 + 73*z**3/4 - 205*z**2/4 - 87*z - 35.
-(z - 70)*(z - 2)*(z + 1)**3/4
Factor -3*x**5 + 3*x**4 + 6*x**3.
-3*x**3*(x - 2)*(x + 1)
Solve v**3/3 - 5*v**2/3 + v + 3 = 0.
-1, 3
Let -5*p**3 - 340*p**2 - 660*p = 0. Calculate p.
-66, -2, 0
Determine z, given that z**2/2 - 144*z + 855/2 = 0.
3, 285
Solve 4*c**2 - 4524*c = 0 for c.
0, 1131
Determine m, given that 2*m**3/7 - 76*m**2/7 - 712*m/7 - 1104/7 = 0.
-6, -2, 46
Let 3*l**4 - 126*l**3 + 360*l**2 - 354*l + 117 = 0. Calculate l.
1, 39
Factor -o**2/2 - 157*o/2 - 78.
-(o + 1)*(o + 156)/2
Factor 16*s**3/7 - 12*s**2/7 - 36*s/7 - 8/7.
4*(s - 2)*(s + 1)*(4*s + 1)/7
Determine d so that -25*d**3 + 310*d**2 - 395*d + 110 = 0.
2/5, 1, 11
Solve 3*w**4/7 - 36*w**3/7 + 15*w**2 + 36*w/7 - 108/7 = 0.
-1, 1, 6
Factor 3*o**2/8 + 315*o/8 + 309/4.
3*(o + 2)*(o + 103)/8
Factor -3*b**4 + 13*b**3 + 5*b**2 - 57*b + 18.
-(b - 3)**2*(b + 2)*(3*b - 1)
Factor -5*n**3 + 3650*n**2 - 669760*n + 1324960.
-5*(n - 364)**2*(n - 2)
Determine g so that -2*g**4 - 30*g**3 - 72*g**2 + 8*g + 96 = 0.
-12, -2, 1
Let -2*o**4 + 102*o**3 + 120*o**2 - 808*o - 1248 = 0. Calculate o.
-2, 3, 52
Determine f, given that -2*f**2 - 44*f - 144 = 0.
-18, -4
Determine u, given that -2*u**3/7 - 32*u**2/7 - 138*u/7 - 180/7 = 0.
-10, -3
Factor -35*u**3 + 605*u**2 + 4660*u - 1380.
-5*(u - 23)*(u + 6)*(7*u - 2)
Let -8*x**4 - 70*x**3 - 174*x**2 - 80*x + 32 = 0. Calculate x.
-4, -1, 1/4
Factor -r**2 + 227*r.
-r*(r - 227)
Factor -4*o**4/7 + 20*o**3/7 + 24*o**2/7.
-4*o**2*(o - 6)*(o + 1)/7
Factor 3*b**5 + 12*b**4 - 78*b**3 + 132*b**2 - 93*b + 24.
3*(b - 1)**4*(b + 8)
Solve -2*n**4/11 + 16*n**3/11 - 28*n**2/11 - 16*n/11 + 30/11 = 0 for n.
-1, 1, 3, 5
Factor 2*f**3/9 - 178*f**2/3 + 3990*f - 35378/9.
2*(f - 133)**2*(f - 1)/9
Factor -2*j**2/11 - 10*j + 112/11.
-2*(j - 1)*(j + 56)/11
Factor -4*g**3 + 572*g**2 - 568*g.
-4*g*(g - 142)*(g - 1)
Find m such that 3*m**5 - 15*m**4 - 6*m**3 + 72*m**2 = 0.
-2, 0, 3, 4
Solve 48*j**5 - 1812*j**4 - 13443*j**3 + 43017*j**2/4 - 10977*j/4 + 231 = 0 for j.
-7, 1/4, 44
Factor 2*v**4 + 37*v**3/2 + 41*v**2/2 + 4*v.
v*(v + 1)*(v + 8)*(4*v + 1)/2
Solve 3*x**4 - 1026*x**3 + 86691*x**2 + 176472*x + 88752 = 0 for x.
-1, 172
Determine h, given that -3*h**3 + 1077*h**2 + 8808*h = 0.
-8, 0, 367
Determine y so that 3*y**3/4 - 45*y**2/2 = 0.
0, 30
Find y, given that -2*y**2/9 + 178*y/9 + 20 = 0.
-1, 90
Suppose 5*y**4 + 5*y**3 - 5*y**2 - 5*y = 0. Calculate y.
-1, 0, 1
Let 2*j**3/3 - 28*j**2 - 182*j/3 + 88 = 0. Calculate j.
-3, 1, 44
Suppose d**2/2 - 7*d/2 + 3 = 0. Calculate d.
1, 6
What is w in w**2/9 + 34*w/9 + 11/3 = 0?
-33, -1
Factor -25*r**3 + 1155*r**2 + 2385*r + 1205.
-5*(r + 1)**2*(5*r - 241)
Let -6*u**3 + 13071*u**2 - 7122060*u + 3557763 = 0. What is u?
1/2, 1089
Factor -h**3/4 + 7*h/4 - 3/2.
-(h - 2)*(h - 1)*(h + 3)/4
Solve x**2/4 - 55*x/4 + 39 = 0 for x.
3, 52
Determine b so that -b**5/8 + 43*b**4/8 + 231*b**3/8 + 425*b**2/8 + 167*b/4 + 12 = 0.
-2, -1, 48
Let s**5/8 - 7*s**4/8 - s**3/4 + 7*s**2/4 + s/8 - 7/8 = 0. What is s?
-1, 1, 7
Factor 423*b**3 - 6*b**2.
3*b**2*(141*b - 2)
Factor -2*w**2 - 1028*w.
-2*w*(w + 514)
Factor -t**2/5 + 79*t/5 - 154/5.
-(t - 77)*(t - 2)/5
Factor -2*u**3/3 - 958*u**2/3 + 3856*u/3 - 1288.
-2*(u - 2)**2*(u + 483)/3
Determine l, given that 4*l**4 - 16*l**3 - 24*l**2 + 16*l + 20 = 0.
-1, 1, 5
Factor -21*s**3 - 6*s**2 + 21*s + 6.
-3*(s - 1)*(s + 1)*(7*s + 2)
Determine f so that -f**4/2 - 11*f**3/2 - 39*f**2/2 - 49*f/2 - 10 = 0.
-5, -4, -1
Suppose -2*w**5 - 4*w**4 + 58*w**3 - 92*w**2 - 40*w + 112 = 0. Calculate w.
-7, -1, 2
Factor -k**3/3 - 4*k**2 + 9*k - 14/3.
-(k - 1)**2*(k + 14)/3
Let s**4 - 14*s**3 - 67*s**2 - 88*s - 36 = 0. Calculate s.
-2, -1, 18
Factor 4*q**5/7 - 628*q**4 + 1201192*q**3/7 + 3629992*q**2/7 + 3638804*q/7 + 1214404/7.
4*(q - 551)**2*(q + 1)**3/7
Factor -q**3 + 12*q**2 - 45*q + 50.
-(q - 5)**2*(q - 2)
Find b such that 25*b**4/2 + 14*b**3 + 3*b**2/2 = 0.
-1, -3/25, 0
Factor 28*u**3/3 + 12*u**2 + 8*u/3.
4*u*(u + 1)*(7*u + 2)/3
Suppose -c**2 + 18*c + 243 = 0. What is c?
-9, 27
Determine h so that -2*h**2/13 - 40*h/13 - 72/13 = 0.
-18, -2
Determine t so that -39*t**4 - 6*t**3 + 39*t**2 + 6*t = 0.
-1, -2/13, 0, 1
Factor 2*t**2 - 9284*t + 10774082.
2*(t - 2321)**2
Factor 3*z**3 + 195*z**2 + 381*z + 189.
3*(z + 1)**2*(z + 63)
Let -q**3/5 - 16*q**2/5 - 7*q + 52/5 = 0. What is q?
-13, -4, 1
Factor -5*l**3 - 645*l**2 - 21120*l - 20480.
-5*(l + 1)*(l + 64)**2
Determine u, given that -5*u**2 + 5*u = 0.
0, 1
Factor w**4/4 + 7*w**3/4 + 11*w**2/4 + 5*w/4.
w*(w + 1)**2*(w + 5)/4
Determine f so that -4*f**2 - 168*f - 1764 = 0.
-21
Determine y so that -4*y**5 - 28*y**4 - 4*y**3 + 108*y**2 - 72*y = 0.
-6, -3, 0, 1
Let 6*y**2 + 154*y - 52 = 0. Calculate y.
-26, 1/3
Determine j, given that 4*j**3 + 16*j**2 - 20*j = 0.
-5, 0, 1
Factor t**2/9 + 7*t/3.
t*(t + 21)/9
Suppose 2*u**4/3 + 12*u**3 + 146*u**2/3 + 72*u + 104/3 = 0. Calculate u.
-13, -2, -1
Determine n, given that 2*n**4 + 5*n**3 - 5*n**2 - 5*n + 3 = 0.
-3, -1, 1/2, 1
Determine d, given that 4*d**3 + 292*d**2 - 304*d - 592 = 0.
-74, -1, 2
Determine y, given that -20*y**4 - 588*y**3 - 3172*y**2 - 5316*y - 1656 = 0.
-23, -3, -2/5
Factor 2*d**2/5 - 68*d/5 - 144/5.
2*(d - 36)*(d + 2)/5
Factor -i**2/5 - 7388*i/5 - 13645636/5.
-(i + 3694)**2/5
Factor -w**3 - 151*w**2 + 305*w - 153.
-(w - 1)**2*(w + 153)
Factor o**4 + 13*o**3 + 60*o**2 + 116*o + 80.
(o + 2)**2*(o + 4)*(o + 5)
Solve -3*l**2 + 402*l - 399 = 0 for l.
1, 133
Let -4*k**4/7 - 328*k**3/7 - 2164*k**2/7 - 4848*k/7 - 3600/7 = 0.