980*z**3 + 13458*z**2 + 5148*z + 507.
3*(z + 13)**2*(5*z + 1)**2
Factor -12*i**3 - 309*i**2 + 3858*i - 945.
-3*(i - 9)*(i + 35)*(4*i - 1)
Factor -3*q**4 - 171*q**3 - 2820*q**2 - 10764*q - 8112.
-3*(q + 1)*(q + 4)*(q + 26)**2
Solve -3*c**5 + 21*c**4 - 15*c**3 - 93*c**2 + 90*c = 0.
-2, 0, 1, 3, 5
Let -r**4 - 4*r**3 - 3*r**2 = 0. What is r?
-3, -1, 0
Factor 2*s**4/9 - 2*s**3/9 - 2*s**2 - 22*s/9 - 8/9.
2*(s - 4)*(s + 1)**3/9
Determine u, given that u**3/4 - 43*u**2/4 - 60*u = 0.
-5, 0, 48
Determine p, given that -3*p**3/4 + 3*p**2 - 15*p/4 + 3/2 = 0.
1, 2
Suppose z**3/2 + z**2/2 - 3*z = 0. What is z?
-3, 0, 2
Factor 3*g**2/2 - 3555*g/2.
3*g*(g - 1185)/2
Suppose -4*x**3/7 + 80*x**2/7 + 368*x/7 + 384/7 = 0. Calculate x.
-2, 24
Let b**4/2 + 55*b**3/2 + 49*b**2/2 - 267*b/2 + 81 = 0. What is b?
-54, -3, 1
Factor -2*i**4 - 4*i**3 + 6*i**2.
-2*i**2*(i - 1)*(i + 3)
Determine z so that 5*z**2 + 4085*z + 4080 = 0.
-816, -1
What is z in -5*z**2 - 80*z - 320 = 0?
-8
Find u, given that -3*u**2 + 66*u + 69 = 0.
-1, 23
Factor 2*r**2/5 + 154*r/5 + 152/5.
2*(r + 1)*(r + 76)/5
Find c, given that 3*c**3 + 18*c**2 - 21*c = 0.
-7, 0, 1
Solve -2*w**5 + 2*w**4 + 26*w**3 - 50*w**2 + 24*w = 0 for w.
-4, 0, 1, 3
Factor -p**3 - 1203*p**2 - 359991*p + 1090827.
-(p - 3)*(p + 603)**2
Solve c**2/3 - 82*c/3 + 1681/3 = 0 for c.
41
Find i, given that -9*i**3 - 33*i**2 + 120*i - 36 = 0.
-6, 1/3, 2
Factor 2*y**4/3 + 44*y**3/3 + 314*y**2/3 + 264*y + 216.
2*(y + 2)**2*(y + 9)**2/3
Factor 2*o**3/5 - 116*o**2/5 + 224*o/5.
2*o*(o - 56)*(o - 2)/5
Factor 12*a**4 - 1007*a**3 + 20040*a**2 + 46053*a + 3698.
(a - 43)**2*(a + 2)*(12*a + 1)
Factor h**5/4 + h**4 - 3*h**3 - 27*h**2/2 + 27*h/4 + 81/2.
(h - 3)*(h - 2)*(h + 3)**3/4
Find f, given that 3*f**3/4 + 753*f**2/4 - 1515*f/4 + 759/4 = 0.
-253, 1
Suppose 4*j**4 + 28*j**3 - 40*j**2 - 64*j = 0. What is j?
-8, -1, 0, 2
Determine u, given that 4*u**2 + 1000*u + 62500 = 0.
-125
Determine a, given that -28*a**4/3 + 850*a**3/3 - 272*a**2/3 - 850*a/3 + 100 = 0.
-1, 5/14, 1, 30
Let 4*o**2 + 112*o - 980 = 0. What is o?
-35, 7
Find a such that -4*a**2 - 20*a + 56 = 0.
-7, 2
Factor 4*o**3 + 52*o**2 - 64*o - 112.
4*(o - 2)*(o + 1)*(o + 14)
Suppose -2*q**5 - 28*q**4 + 270*q**3 + 616*q**2 + 320*q = 0. Calculate q.
-20, -1, 0, 8
Factor -f**5 + 20*f**4 - 36*f**3 - 2*f**2 + 37*f - 18.
-(f - 18)*(f - 1)**3*(f + 1)
Factor -3*v**3 + 3*v**2 + 303*v + 297.
-3*(v - 11)*(v + 1)*(v + 9)
Factor -2*p**5/3 - 22*p**4/3 - 92*p**3/3 - 60*p**2 - 54*p - 18.
-2*(p + 1)**2*(p + 3)**3/3
Factor 4*l**3 + 16*l**2 - 4*l - 16.
4*(l - 1)*(l + 1)*(l + 4)
Find j such that 5*j**2 - 33300*j + 55444500 = 0.
3330
Factor -5*s**4 + 25*s**3 + 30*s**2.
-5*s**2*(s - 6)*(s + 1)
Factor 2*l**3 - 12*l**2 - 14*l.
2*l*(l - 7)*(l + 1)
Factor 2*c**4 + 6760*c**3 + 5705436*c**2 - 11431160*c + 5718962.
2*(c - 1)**2*(c + 1691)**2
Suppose 3*s**5 - 195*s**4 + 177*s**3 + 951*s**2 + 576*s = 0. What is s?
-1, 0, 3, 64
Determine n so that -81*n**5 - 675*n**4/2 - 927*n**3/2 - 237*n**2 - 18*n + 12 = 0.
-2, -1, -2/3, 1/6
Factor -k**2 - 27*k + 28.
-(k - 1)*(k + 28)
What is v in 5*v**3/6 - 535*v**2/3 + 29150*v/3 - 56180/3 = 0?
2, 106
Solve -2*j**3 - 62*j**2 - 452*j - 672 = 0.
-21, -8, -2
Find w such that -w**2 - 45*w - 486 = 0.
-27, -18
Let -4*o**5/5 - 88*o**4/5 - 76*o**3 + 248*o**2 + 384*o/5 - 1152/5 = 0. What is o?
-12, -1, 1, 2
What is i in 5*i**3/2 - 19515*i**2/2 + 25389015*i/2 - 11010369505/2 = 0?
1301
Factor -4*b**3 - 12*b**2 - 8*b.
-4*b*(b + 1)*(b + 2)
Determine i so that 2*i**3 - 3012*i**2 + 1512024*i - 253012016 = 0.
502
Factor p**4 - 3*p**3 - p**2 + 3*p.
p*(p - 3)*(p - 1)*(p + 1)
Find t such that 36*t**4 + 3*t**3 - 27*t**2 + 6*t = 0.
-1, 0, 1/4, 2/3
Solve 2*q**5/7 + 20*q**4/7 + 58*q**3/7 + 64*q**2/7 + 24*q/7 = 0 for q.
-6, -2, -1, 0
Suppose -4*b**3/7 - 4*b**2 - 40*b/7 = 0. Calculate b.
-5, -2, 0
Factor -2*h**3/11 + 16*h**2/11 + 6*h.
-2*h*(h - 11)*(h + 3)/11
Solve -7*m**5/5 + 23*m**4/5 + 92*m**3/5 - 112*m**2/5 - 256*m/5 + 16 = 0 for m.
-2, 2/7, 2, 5
Factor 90*o**4 - 84*o**3 - 86*o**2 - 16*o.
2*o*(3*o + 1)**2*(5*o - 8)
Factor -2*h**2/3 + 36*h - 486.
-2*(h - 27)**2/3
Factor y**2 + 142*y/3 + 47/3.
(y + 47)*(3*y + 1)/3
Factor p**3 + 6*p**2 + 9*p + 4.
(p + 1)**2*(p + 4)
Factor 5*z**5/3 - 40*z**4/3 + 290*z**2/3 + 395*z/3 + 50.
5*(z - 6)*(z - 5)*(z + 1)**3/3
Factor -2*p**2 + 280*p + 2058.
-2*(p - 147)*(p + 7)
Factor n**2 + 309*n + 308.
(n + 1)*(n + 308)
Let -2*k**3/9 - 50*k**2/9 - 4*k + 32 = 0. What is k?
-24, -3, 2
Factor -2*u**3/3 + 34*u**2/3 - 160*u/3 + 128/3.
-2*(u - 8)**2*(u - 1)/3
Suppose -2*b**3/9 - 14*b**2/3 - 98*b/3 - 686/9 = 0. Calculate b.
-7
Suppose 6*n**5/17 - 94*n**4/17 + 30*n**3 - 1170*n**2/17 + 1084*n/17 - 336/17 = 0. Calculate n.
2/3, 1, 3, 4, 7
Factor -3*x**3 - 1488*x**2 - 1485*x.
-3*x*(x + 1)*(x + 495)
Suppose c**2/4 + 5*c/4 + 1 = 0. Calculate c.
-4, -1
Factor 4*c**4 - 24*c**3 - 28*c**2.
4*c**2*(c - 7)*(c + 1)
Factor -2*a**3 + 22*a**2 + 52*a.
-2*a*(a - 13)*(a + 2)
Let -12*c**3 - 56*c**2 - 76*c - 32 = 0. Calculate c.
-8/3, -1
Determine k, given that -363*k**5 + 4389*k**4 - 4101*k**3 - 3201*k**2 + 4464*k - 1188 = 0.
-1, 6/11, 1, 11
Let -h**4/7 + 2*h**2/7 - 1/7 = 0. Calculate h.
-1, 1
Factor -5*v**4 - 5700*v**3 - 2436750*v**2 - 462982500*v - 32987503125.
-5*(v + 285)**4
Factor -2*q**2/9 - 248*q/9 + 56.
-2*(q - 2)*(q + 126)/9
What is r in 5*r**5 - 145*r**4 - 310*r**3 - 10*r**2 + 305*r + 155 = 0?
-1, 1, 31
Factor -z**2 - 9*z - 18.
-(z + 3)*(z + 6)
Find r, given that -4*r**4 + 52*r**3 - 160*r**2 + 144*r = 0.
0, 2, 9
Let -2*l**3 + 28*l**2/3 + 94*l/3 + 28/3 = 0. What is l?
-2, -1/3, 7
Determine s, given that s**2/5 + 94*s/5 + 984/5 = 0.
-82, -12
Factor -5*k**2 + 160*k + 1600.
-5*(k - 40)*(k + 8)
Solve -5*p**5 - 5*p**4 + 105*p**3 + 65*p**2 - 400*p + 240 = 0 for p.
-4, -3, 1, 4
Factor -14*v**3/3 + 86*v**2/3 - 136*v/3 + 64/3.
-2*(v - 4)*(v - 1)*(7*v - 8)/3
Find b such that 2*b**3/9 + 194*b**2/3 + 64*b - 1160/9 = 0.
-290, -2, 1
Determine y, given that -24*y**5 - 4401*y**4 - 209007*y**3 - 660960*y**2 - 218700*y = 0.
-90, -3, -3/8, 0
Let 6*b**5 + 40*b**4 - 1272*b**3 - 864*b**2 = 0. Calculate b.
-18, -2/3, 0, 12
Find w such that -4*w**5 + 20*w**3 - 16*w = 0.
-2, -1, 0, 1, 2
Determine t, given that 3*t**5 - 48*t**4 - 225*t**3 - 294*t**2 - 120*t = 0.
-2, -1, 0, 20
Factor 2*u**4 + 18*u**3 + 46*u**2 + 30*u.
2*u*(u + 1)*(u + 3)*(u + 5)
Let j**4/2 - 6*j**3 + 35*j**2/2 + 6*j - 18 = 0. Calculate j.
-1, 1, 6
Suppose 3*a**4/5 - 39*a**3/5 - 249*a**2/5 - 369*a/5 - 162/5 = 0. What is a?
-3, -1, 18
Factor -4*m**3/9 - 725*m**2/9 - 32578*m/9 + 8281/3.
-(m + 91)**2*(4*m - 3)/9
Suppose 3*g**2 + 6*g - 72 = 0. What is g?
-6, 4
Factor 4*f**3 + 96*f**2.
4*f**2*(f + 24)
Factor u**2/3 - 44*u/3.
u*(u - 44)/3
Factor 4*q**3 - 4*q**2 - 80*q.
4*q*(q - 5)*(q + 4)
Suppose -7*q**4/2 + 67*q**3/2 + 117*q**2/2 - 67*q/2 - 55 = 0. Calculate q.
-10/7, -1, 1, 11
Factor -d**2/2 - 11*d/2.
-d*(d + 11)/2
Factor -2*i**5/3 + 540*i**4 - 108808*i**3 - 659344*i**2/3.
-2*i**2*(i - 406)**2*(i + 2)/3
Solve -6*j**2 - 7923*j/2 - 990 = 0.
-660, -1/4
Factor -1331*b**5 + 261602*b**4 - 16962275*b**3 + 351113672*b**2 + 754167232*b + 385828352.
-(b + 1)**2*(11*b - 728)**3
Factor -q**3 - 25*q**2 + 54*q.
-q*(q - 2)*(q + 27)
Factor 4*n**3/3 - 80*n**2/3 - 4*n/3 + 80/3.
4*(n - 20)*(n - 1)*(n + 1)/3
Factor -4*k**2/5 + 5024*k/5 - 1577536/5.
-4*(k - 628)**2/5
What is p in 12*p**5/7 + 82*p**4/7 + 152*p**3/7 + 54*p**2/7 - 44*p/7 - 16/7 = 0?
-4, -2, -1, -1/3, 1/2
Determine f, given that -f**5/5 - 8*f**4/5 - 4*f**3 - 2*f**2 + 21*f/5 + 18/5 = 0.
-3, -2, -1, 1
Factor -n**5/3 + 40*n**4/3 - 640*n**3/3 + 5120*n**2/3 - 20480*n/3 + 32768/3.
-(n - 8)**5/3
Determine u so that -49*u**2/4 + 273*u - 1521 = 0.
78/7
Factor -2*x**2/5 + 134*x/5.
-2*x*(x - 67)/5
Find j such that -26*j**5 - 48*j**4 + 86*j**3 + 92*j**2 - 120*j + 16 = 0.
-2, 2/13, 1
Factor 2*i**2 - 6352*i + 5043488.
2*(i - 1588)**2
Let -2*o**3 + 26*o**2 - 62*o - 90 = 0. What is o?
-1, 5, 9
Factor 3*p**2 - 24576*p + 50331648.
3*(p - 4096)**2
Find g such that 2*g**3 + 552*g**2 + 50784*g + 1557376 = 0.
-92
Factor 5*w**3 - 2245*w**2 - 4505*w - 2255.
5*(w - 451)*(w + 1)**2
Factor 4*f**2 - 48*f + 144.
4*(f - 6)**2
Solve 4*f**5 - 224*f**4 - 720*f**3 + 664*f**2 + 2572*f + 1416 = 0 for f.
-3, -1, 2, 59
Solve -2*a**4 - 46*a**3 - 126*a**2 - 