- 306)*(r - 1)/5
Factor -2*r**3/13 - 6*r**2/13 + 12*r/13 + 16/13.
-2*(r - 2)*(r + 1)*(r + 4)/13
Find f such that -f**3 + 1927*f**2 = 0.
0, 1927
Let -c**4 - 80*c**3 - 1514*c**2 + 3608*c + 5043 = 0. Calculate c.
-41, -1, 3
Find n, given that 3*n**3 - 47*n**2 + 176*n + 64 = 0.
-1/3, 8
What is w in 75*w**5/8 - 55*w**4/4 - 123*w**3/8 + 41*w**2/4 + 3*w/2 - 1 = 0?
-1, -1/3, 2/5, 2
Factor 3*v**5 + 33*v**4 + 129*v**3 + 219*v**2 + 168*v + 48.
3*(v + 1)**3*(v + 4)**2
Factor 2*i**2 + 3288*i + 1351368.
2*(i + 822)**2
Factor -4*t**4 + 292*t**3 - 6456*t**2 + 40448*t - 57344.
-4*(t - 32)**2*(t - 7)*(t - 2)
Let 5*d**3 - 245*d**2 - 510*d = 0. Calculate d.
-2, 0, 51
Factor h**4/4 - h**3/2 - 33*h**2/4 + 45*h/2.
h*(h - 5)*(h - 3)*(h + 6)/4
Determine i, given that -i**4/8 - 19*i**3/8 - 55*i**2/8 + 363*i/8 = 0.
-11, 0, 3
Suppose -3*h**3/8 - 27*h**2/4 - 141*h/8 - 45/4 = 0. Calculate h.
-15, -2, -1
Suppose -2*h**4/15 + 16*h**3/15 + 2*h**2/15 - 16*h/15 = 0. What is h?
-1, 0, 1, 8
Factor 4*h**5 - 32*h**4 + 64*h**3 + 72*h**2 - 324*h + 216.
4*(h - 3)**3*(h - 1)*(h + 2)
Factor j**4 + 11*j**3 + 32*j**2 + 28*j.
j*(j + 2)**2*(j + 7)
Factor 4*d**4/5 + 204*d**3/5 + 192*d**2/5 - 80*d.
4*d*(d - 1)*(d + 2)*(d + 50)/5
Find s, given that 8*s**5/7 - 8*s**4/7 - 38*s**3/7 + 32*s**2/7 + 6*s - 36/7 = 0.
-3/2, 1, 2
Let 5*m**3 + 65*m**2 - 240*m = 0. What is m?
-16, 0, 3
What is p in 2*p**3 + 2076*p**2 + 540792*p + 1073296 = 0?
-518, -2
Find g such that -15*g**5 + 12*g**4 + 18*g**3 - 12*g**2 - 3*g = 0.
-1, -1/5, 0, 1
Factor 4*d**3/7 - 72*d**2/7 - 12*d + 152/7.
4*(d - 19)*(d - 1)*(d + 2)/7
Factor 1413*d**5/2 + 1414*d**4 + 1417*d**3/2 + d**2.
d**2*(d + 1)**2*(1413*d + 2)/2
Factor 2*w**4/7 - 36*w**3/7 + 240*w**2/7 - 704*w/7 + 768/7.
2*(w - 6)*(w - 4)**3/7
Let -2*x**2/9 + 2524*x/9 - 796322/9 = 0. Calculate x.
631
Find i, given that -12*i**4 - 1816*i**3 - 2400*i**2 = 0.
-150, -4/3, 0
Find f, given that 2*f**2 - 6024*f = 0.
0, 3012
Determine i so that -477*i**2/7 - 6*i/7 = 0.
-2/159, 0
Determine h, given that 52*h**2/3 - 85*h + 38/3 = 0.
2/13, 19/4
Factor -4*u**4 - 80*u**3 - 372*u**2 - 504*u.
-4*u*(u + 3)**2*(u + 14)
Factor -a**3/8 + 59*a**2/4 - 665*a/8 - 98.
-(a - 112)*(a - 7)*(a + 1)/8
Solve -2*u**2/15 - 416*u/3 - 2078/15 = 0 for u.
-1039, -1
Factor 2350*d**4 + 1380*d**3 - 24*d**2 - 80*d.
2*d*(5*d + 2)**2*(47*d - 10)
Factor 5*b**3/4 - 660*b**2 + 2625*b - 2620.
5*(b - 524)*(b - 2)**2/4
Find n such that n**5/4 + 7*n**4/4 - 39*n**3/4 + 53*n**2/4 - 11*n/2 = 0.
-11, 0, 1, 2
Factor u**4/7 + 11*u**3/7 - 2*u**2 - 24*u/7.
u*(u - 2)*(u + 1)*(u + 12)/7
Factor i**4/2 - 2*i**3 - 15*i**2 + 18*i + 189/2.
(i - 7)*(i - 3)*(i + 3)**2/2
Factor -2*w**2/5 + 1736*w/5 - 376712/5.
-2*(w - 434)**2/5
Factor c**2 + 1187*c + 2370.
(c + 2)*(c + 1185)
Let -m**3 + 16*m**2 + 55*m + 38 = 0. What is m?
-2, -1, 19
Factor t**4/6 - t**3/2 - 14*t**2/3.
t**2*(t - 7)*(t + 4)/6
Suppose -21*v**4/2 + 41*v**3/2 + 303*v**2 - 298*v + 60 = 0. Calculate v.
-5, 2/7, 2/3, 6
Let -4*g**3 + 3538*g**2 - 1768*g = 0. Calculate g.
0, 1/2, 884
Suppose 5*t**2 + 170*t - 975 = 0. What is t?
-39, 5
Suppose -3*p**5 + 204*p**4 - 5202*p**3 + 58956*p**2 - 250563*p = 0. Calculate p.
0, 17
Factor -5*w**2 - 15*w.
-5*w*(w + 3)
Find f, given that -12*f**5 + 12*f**4 + 21*f**3 + 6*f**2 = 0.
-1/2, 0, 2
Find t, given that -112*t**5 + 1180*t**4 - 2540*t**3 - 1720*t**2 + 672*t = 0.
-3/4, 0, 2/7, 4, 7
Let -3*m**4/4 + 747*m**3 - 558009*m**2/2 + 46314747*m - 11532372003/4 = 0. Calculate m.
249
Factor -f**4/5 + 4*f**3/5 + f**2/5 - 4*f/5.
-f*(f - 4)*(f - 1)*(f + 1)/5
Factor 3*b**2 - 861*b + 858.
3*(b - 286)*(b - 1)
Determine c so that -3*c**3 + 141*c**2 + 2016*c + 6372 = 0.
-6, 59
Factor 3*b**2/7 + 899*b/7 - 300/7.
(b + 300)*(3*b - 1)/7
Factor 3*i**2/2 + 1563*i/2 + 1557.
3*(i + 2)*(i + 519)/2
Solve u**2/2 + 2493*u/2 - 1247 = 0.
-2494, 1
Factor 4*z**3 + 1752*z**2 + 255792*z + 12448544.
4*(z + 146)**3
Find h such that 1369*h**4 - 37*h**3 - 5475*h**2/4 + 37*h - 1/4 = 0.
-1, 1/74, 1
Factor 8*c**3 - 180*c**2 + 88*c.
4*c*(c - 22)*(2*c - 1)
Solve d**2 + 28*d + 52 = 0 for d.
-26, -2
Factor 2*z**3/3 - 28*z**2/3 + 50*z/3 - 8.
2*(z - 12)*(z - 1)**2/3
Let 2*s**3/3 + 56*s**2/3 + 56*s - 192 = 0. What is s?
-24, -6, 2
Find g, given that -g**5/11 + 4*g**4/11 + 140*g**3/11 + 736*g**2/11 + 1472*g/11 + 1024/11 = 0.
-4, -2, 16
Find q such that -59*q**2/3 - 512*q - 52/3 = 0.
-26, -2/59
Suppose 7*p**2/6 - 229*p/6 - 11 = 0. What is p?
-2/7, 33
Suppose 7*y**5/2 - 62*y**4 + 55*y**3/2 + 265*y**2 - 166*y - 68 = 0. Calculate y.
-2, -2/7, 1, 2, 17
What is k in -5*k**3 + 30*k**2 + 245*k + 330 = 0?
-3, -2, 11
What is d in -2*d**5/3 + 6*d**4 + 24*d**3 = 0?
-3, 0, 12
Factor a**4/4 + 43*a**3/4 + 603*a**2/4 + 2873*a/4 + 578.
(a + 1)*(a + 8)*(a + 17)**2/4
Factor -5*l**2 - 1950*l.
-5*l*(l + 390)
Factor 512*u**2 - 1540*u + 12.
4*(u - 3)*(128*u - 1)
Find v such that 2*v**3 + 24*v**2 - 896*v = 0.
-28, 0, 16
Factor -4*c**3/5 + 52*c**2/5 - 92*c/5 + 44/5.
-4*(c - 11)*(c - 1)**2/5
Factor -18*m**3/5 + 7912*m**2 - 21731626*m/5 - 4831204/5.
-2*(m - 1099)**2*(9*m + 2)/5
Factor 2*i**5 - 10*i**4 - 84*i**3 + 360*i**2 + 432*i.
2*i*(i - 6)**2*(i + 1)*(i + 6)
Factor p**2/6 + 21*p - 129/2.
(p - 3)*(p + 129)/6
Suppose -2*y**3 + 8356*y**2 + 16718*y + 8360 = 0. What is y?
-1, 4180
Solve -2*v**2/15 - 8*v/3 = 0 for v.
-20, 0
What is l in -2*l**2/11 + 3032*l/11 - 1149128/11 = 0?
758
What is k in 14*k**2 + 14844*k + 4240 = 0?
-1060, -2/7
Determine k so that 3*k**2/2 - 78*k + 1161/2 = 0.
9, 43
Solve k**3/4 + 25*k**2/2 - 103*k/4 + 13 = 0 for k.
-52, 1
Suppose 2*k**2/19 + 8*k - 154/19 = 0. What is k?
-77, 1
Factor -2*q**4/15 - 22*q**3/5 - 16*q**2 - 232*q/15.
-2*q*(q + 2)**2*(q + 29)/15
What is i in 15*i**2 - 365*i - 250 = 0?
-2/3, 25
Factor 2*w**4 - 32*w**3 + 30*w**2.
2*w**2*(w - 15)*(w - 1)
Factor v**3/7 - 83*v**2/7 + 810*v/7 - 1296/7.
(v - 72)*(v - 9)*(v - 2)/7
Determine m, given that -20*m**4 + 75*m**3 - 60*m**2 - 20*m = 0.
-1/4, 0, 2
What is h in 2*h**2/15 + 82*h/15 - 28/5 = 0?
-42, 1
Factor 4*b**5/3 + 52*b**4/3 + 80*b**3 + 448*b**2/3 + 256*b/3.
4*b*(b + 1)*(b + 4)**3/3
What is p in 4*p**5 - 7*p**4 - 14*p**3 - 3*p**2 = 0?
-1, -1/4, 0, 3
Solve 3*n**3/2 - 375*n**2/2 - 3*n/2 + 375/2 = 0.
-1, 1, 125
Factor -c**4/7 + 3*c**3/7 + 54*c**2/7.
-c**2*(c - 9)*(c + 6)/7
Factor -5*x**4 + 95*x**2 + 150*x.
-5*x*(x - 5)*(x + 2)*(x + 3)
Factor -5*p**2 + 75*p + 170.
-5*(p - 17)*(p + 2)
Solve -j**3/2 - 20*j**2 + 83*j/2 - 21 = 0 for j.
-42, 1
Factor -p**2 - p + 20.
-(p - 4)*(p + 5)
Find k, given that -9*k**5 - 37*k**4/4 + 37*k**3/4 + 39*k**2/4 - k/4 - 1/2 = 0.
-1, -1/4, 2/9, 1
Factor -5*i**3 - 45*i**2 + 245*i - 195.
-5*(i - 3)*(i - 1)*(i + 13)
Find j such that 2*j**3/15 - 134*j**2/5 + 1360*j - 4000/3 = 0.
1, 100
Factor p**2 - 564*p + 1124.
(p - 562)*(p - 2)
Let -b**2 - 54*b + 112 = 0. What is b?
-56, 2
Factor 5*u**4 - 1390*u**3 + 89405*u**2 + 1000800*u + 2592000.
5*(u - 144)**2*(u + 5)**2
Solve -99*t**3/7 + 393*t**2/7 - 384*t/7 - 12/7 = 0 for t.
-1/33, 2
Solve -j**2/5 + 2032*j/5 = 0.
0, 2032
Factor -t**2/2 - 78*t + 1837/2.
-(t - 11)*(t + 167)/2
Let -8*d**3 + 644*d**2 - 928*d - 1580 = 0. What is d?
-1, 5/2, 79
Determine z so that -36*z**3 + 285*z**2 - 408*z - 36 = 0.
-1/12, 2, 6
Suppose x**3 + 14*x**2 + 25*x + 12 = 0. What is x?
-12, -1
Solve h**3/2 - 63*h**2 + 480*h - 944 = 0 for h.
4, 118
What is w in 2*w**3/3 + 334*w**2 - 2*w/3 - 334 = 0?
-501, -1, 1
Factor 32*v**3 - 80*v**2 - 750*v + 2250.
2*(v + 5)*(4*v - 15)**2
Find v such that -2*v**5/13 - 36*v**4/13 - 44*v**3/13 + 1464*v**2/13 + 2926*v/13 + 1452/13 = 0.
-11, -1, 6
Determine h, given that h**2/6 + 17*h/2 + 49/3 = 0.
-49, -2
Factor 2*u**2/9 - 86*u/3.
2*u*(u - 129)/9
Let 3*q**3/2 + 15*q**2/2 + 6*q = 0. What is q?
-4, -1, 0
Find x such that x**5/6 + x**4 - x**3/6 - 17*x**2/3 - 2*x + 20/3 = 0.
-5, -2, 1, 2
Factor 5*s**2 + 7370*s + 7365.
5*(s + 1)*(s + 1473)
Factor -2*d**2/5 - 16*d/5 - 32/5.
-2*(d + 4)**2/5
Let 2*s**5/3 - 374*s**4/3 + 16916*s**3/3 + 53012*s**2/3 + 53770*s/3 + 18050/3 = 0. Calculate s.
-1, 95
Solve -3*q**5/4 - 81*q**4/2 - 1779*q**3/4 - 1929*q**2 - 3492*q - 1968 = 0.
-41, -4, -1
Factor -11*p**2 - 28*p - 12.
-(p + 2)*(11*p + 6)
Factor g**3/7 + 9*g**2/7 - g/7 - 9/7.
(g - 1)*(g + 1)*(g + 9)/7
Let x**2/8 + 1499*x/2 + 2247001/2 = 0. Calculate x.
-2998
Factor -m**2/7 - 2410*m/7 + 2411/7.
-(