*(z - 5)*(z - 1)/3
Determine c so that 42*c**5 + 212*c**4 + 262*c**3 + 12*c**2 = 0.
-3, -2, -1/21, 0
Factor 6*j**3/7 - 2182*j**2/7 + 28288*j + 9464.
2*(j - 182)**2*(3*j + 1)/7
Factor -d**2 + 22*d - 105.
-(d - 15)*(d - 7)
Suppose 7*y**4 + 257*y**3 + 1991*y**2 + 4135*y - 1350 = 0. What is y?
-27, -5, 2/7
Determine f, given that 2*f**2 - 2076*f - 6246 = 0.
-3, 1041
Solve k**4 + 269*k**3 + 24030*k**2 + 704700*k - 729000 = 0.
-90, 1
Factor 5*i**3 + 170*i**2.
5*i**2*(i + 34)
Solve -2*s**2/11 + 18208*s/11 - 41441408/11 = 0.
4552
What is a in -4*a**3/7 + 4*a**2/7 + 8*a/7 = 0?
-1, 0, 2
Find k such that k**4/5 + 546*k**3/5 = 0.
-546, 0
Factor -2*q**2/23 - 3924*q/23 - 1924722/23.
-2*(q + 981)**2/23
Factor 2*j**2/21 - 2*j/21 - 4/7.
2*(j - 3)*(j + 2)/21
Factor -2*u**3/7 + 6*u**2/7 + 108*u/7.
-2*u*(u - 9)*(u + 6)/7
Solve a**5/10 - 3*a**4/10 - 11*a**3/5 - 19*a**2/5 - 27*a/10 - 7/10 = 0.
-1, 7
Solve -2*s**2/3 - 504*s - 95256 = 0 for s.
-378
Solve -5*z**4 - 20*z**3 - 25*z**2 - 10*z = 0 for z.
-2, -1, 0
Determine w, given that -3*w**4/2 + 480*w**3 - 1905*w**2/2 - 480*w + 954 = 0.
-1, 1, 2, 318
Solve 6*x**4/7 - 6*x**3/7 - 36*x**2/7 = 0.
-2, 0, 3
Determine a, given that 2*a**2 + 518*a - 2104 = 0.
-263, 4
Factor -2*d**4/5 - 26*d**3/5 - 16*d**2 - 72*d/5.
-2*d*(d + 2)**2*(d + 9)/5
Solve -12*v**4 + 184*v**3 + 140*v**2 - 184*v - 128 = 0.
-1, -2/3, 1, 16
Factor 7*p**3 + 135*p**2 + 164*p + 36.
(p + 1)*(p + 18)*(7*p + 2)
Factor 15*l**3 + 725*l**2 + 8145*l + 2635.
5*(l + 17)*(l + 31)*(3*l + 1)
Solve 5*z**2 - 12800*z = 0 for z.
0, 2560
What is k in 5*k**2/6 - 41*k/2 - 25/3 = 0?
-2/5, 25
Factor 11*c**2/4 - 6*c + 1.
(c - 2)*(11*c - 2)/4
Determine g so that 2*g**4/7 - 376*g**3 + 871176*g**2/7 - 493312*g + 3442688/7 = 0.
2, 656
Find f, given that f**2 + 194*f + 9409 = 0.
-97
Determine f so that -28*f**3 - 316*f**2 + 1592*f + 480 = 0.
-15, -2/7, 4
Suppose 2*h**2/9 + 226*h/9 + 148/3 = 0. What is h?
-111, -2
Let -3*i**4 + 72*i**3 - 639*i**2 + 2478*i - 3528 = 0. Calculate i.
4, 6, 7
Solve 2*f**4 + 62*f**3 + 172*f**2 + 112*f = 0.
-28, -2, -1, 0
Determine h, given that -4*h**4/5 + 72*h**3/5 - 436*h**2/5 + 1008*h/5 - 784/5 = 0.
2, 7
Find b such that -8*b**3/3 + 124*b**2/3 + 212*b/3 - 136/3 = 0.
-2, 1/2, 17
Factor -3*v**4/8 - 9*v**3/4 - 9*v**2/2 - 3*v.
-3*v*(v + 2)**3/8
Factor -u**2 - 60*u - 900.
-(u + 30)**2
Suppose -2*z**4/5 + 12*z**3/5 - 18*z**2/5 + 8*z/5 = 0. Calculate z.
0, 1, 4
Solve 5*x**4 - 70*x**3 + 65*x**2 = 0 for x.
0, 1, 13
Factor 2312*c**5/11 - 1904*c**4 + 63650*c**3/11 - 66114*c**2/11 + 3726*c/11 - 54/11.
2*(c - 3)**3*(34*c - 1)**2/11
Factor -h**4/3 + 187*h**3 - 34780*h**2 + 6326576*h/3 + 6644672.
-(h - 188)**3*(h + 3)/3
Factor 4*o**2 - 368*o + 8464.
4*(o - 46)**2
Let -2*l**3 - 22*l**2 - 70*l - 50 = 0. Calculate l.
-5, -1
Factor 5*a**3 + 205*a**2 + 2375*a + 5415.
5*(a + 3)*(a + 19)**2
Suppose 65*c**5 + 225*c**4 + 185*c**3 - 45*c**2 - 70*c = 0. Calculate c.
-2, -1, 0, 7/13
Factor -r**2 - 151*r + 780.
-(r - 5)*(r + 156)
Factor -5*u**4 + 20*u**3 - 20*u**2.
-5*u**2*(u - 2)**2
Factor k**3/8 - 29*k**2/8 - k/8 + 29/8.
(k - 29)*(k - 1)*(k + 1)/8
Factor -2*z**2/13 - 248*z/13 - 7688/13.
-2*(z + 62)**2/13
Factor 1435*k**2/3 - 340*k/3 - 20/3.
5*(7*k - 2)*(41*k + 2)/3
Let 21*p**5/8 + 99*p**4/8 - 177*p**3/8 - 819*p**2/8 - 48*p + 45/2 = 0. Calculate p.
-5, -2, -1, 2/7, 3
Factor -2*v**2/5 + 916*v/5 - 104882/5.
-2*(v - 229)**2/5
Factor -4*a**5 + 40*a**4 - 144*a**3 + 224*a**2 - 128*a.
-4*a*(a - 4)*(a - 2)**3
Factor -127058405*a**4 + 14316440*a**3 - 604920*a**2 + 11360*a - 80.
-5*(71*a - 2)**4
Factor 5*t**3/2 + 53*t**2/2 - 11*t.
t*(t + 11)*(5*t - 2)/2
Solve -g**3 + 12*g**2 + g - 12 = 0.
-1, 1, 12
Determine v so that -v**4 - 8*v**3 - 20*v**2 - 16*v = 0.
-4, -2, 0
Factor -i**5 + 6*i**4 - 5*i**3.
-i**3*(i - 5)*(i - 1)
What is r in r**3/5 + 7*r**2/5 + 2*r/5 - 8 = 0?
-5, -4, 2
What is n in -4*n**5/7 + 8*n**4/7 + 12*n**3/7 - 32*n**2/7 + 16*n/7 = 0?
-2, 0, 1, 2
Suppose 2*l**4 - 2*l**3 = 0. Calculate l.
0, 1
Let -u**2/6 - 19*u/3 - 37/6 = 0. Calculate u.
-37, -1
Factor 2*m**4/11 + 12*m**3/11 + 10*m**2/11.
2*m**2*(m + 1)*(m + 5)/11
What is h in -2*h**3/9 - 508*h**2/9 - 1510*h/9 - 1004/9 = 0?
-251, -2, -1
Factor 15*o**4 - 80*o**3 + 115*o**2 - 30*o.
5*o*(o - 3)*(o - 2)*(3*o - 1)
Factor -5*o**4 - 135*o**3 - 125*o**2 + 135*o + 130.
-5*(o - 1)*(o + 1)**2*(o + 26)
Let -21*u**4/5 + 132*u**3/5 + 1119*u**2/5 - 66*u = 0. Calculate u.
-5, 0, 2/7, 11
Factor 3*a**3 - 225*a**2 + 2025*a - 4875.
3*(a - 65)*(a - 5)**2
Factor -3*g**4 - 93*g**3 + 198*g**2.
-3*g**2*(g - 2)*(g + 33)
Find t such that 5*t**4 - 1195*t**3 - 1205*t**2 + 1195*t + 1200 = 0.
-1, 1, 240
Factor -5*d**2 + 71240*d - 253756880.
-5*(d - 7124)**2
Factor t**4/4 + 91*t**3 + 24843*t**2/2 + 753571*t + 68574961/4.
(t + 91)**4/4
What is n in 4*n**2/3 - 15*n + 42 = 0?
21/4, 6
Determine m so that -2*m**2 + 52*m + 174 = 0.
-3, 29
Determine i, given that -5*i**5/7 - 59*i**4/7 + 21*i**3 - 97*i**2/7 + 2*i = 0.
-14, 0, 1/5, 1
Find f such that 2*f**4/3 + 2*f**3/3 - 62*f**2/3 + 142*f/3 - 28 = 0.
-7, 1, 2, 3
Solve -2*p**2/11 + 1186*p/11 = 0 for p.
0, 593
Solve 4*s**2 + 38992*s + 95023504 = 0.
-4874
Determine n so that n**2 + 64*n = 0.
-64, 0
Find a, given that -2*a**4 + 122*a**3 - 238*a**2 + 118*a = 0.
0, 1, 59
Factor 4*x**4 + 728*x**3 + 33124*x**2.
4*x**2*(x + 91)**2
Determine g, given that 2*g**4 + 6*g**3 - 78*g**2 - 166*g - 84 = 0.
-7, -1, 6
Factor 5*y**2/4 + 60*y + 235/4.
5*(y + 1)*(y + 47)/4
Factor t**2/3 + 10*t/3 + 7.
(t + 3)*(t + 7)/3
Find u, given that 3*u**3/4 + 3*u**2/2 - 39*u/4 + 15/2 = 0.
-5, 1, 2
Suppose -2*j**5/3 + 38*j**4/3 + 40*j**3/3 = 0. What is j?
-1, 0, 20
Find b, given that 8*b**5/17 + 62*b**4/17 + 152*b**3/17 + 6*b**2 - 36*b/17 = 0.
-3, -2, 0, 1/4
Let -2*b**2 - 1176*b - 172872 = 0. Calculate b.
-294
Determine z so that 3*z**4 - 24*z**3 + 27*z**2 + 114*z - 120 = 0.
-2, 1, 4, 5
Factor -48*x**3 - 2568*x**2 + 1293*x - 162.
-3*(x + 54)*(4*x - 1)**2
Determine g, given that 4*g**5/5 - 8*g**4 + 32*g**3/5 + 8*g**2 - 36*g/5 = 0.
-1, 0, 1, 9
What is u in 2*u**2 + 4678*u + 4676 = 0?
-2338, -1
Factor 3*x**2/4 - 21*x/4 - 27/2.
3*(x - 9)*(x + 2)/4
Solve -5*b**4 - 27*b**3 + 30*b**2 + 76*b + 24 = 0 for b.
-6, -1, -2/5, 2
Solve -3*c**2 - 276*c - 273 = 0 for c.
-91, -1
Find p such that 4*p**5 + 4*p**4 - 24*p**3 = 0.
-3, 0, 2
What is s in 5*s**3 + 2640*s**2 + 464640*s + 27258880 = 0?
-176
Factor -2*t**2 - 12*t/5 + 22/5.
-2*(t - 1)*(5*t + 11)/5
Determine y, given that 10*y**4/7 + 904*y**3/7 + 3800*y**2/7 + 1376*y/7 = 0.
-86, -4, -2/5, 0
Let j**3/4 + 2*j**2 + 5*j/4 - 7/2 = 0. What is j?
-7, -2, 1
Factor 5*p**2 - 300*p - 305.
5*(p - 61)*(p + 1)
Let -2*y**2/7 - 68*y/7 + 10 = 0. What is y?
-35, 1
Factor 4*s**4 + 276*s**3 + 6048*s**2 + 34560*s - 165888.
4*(s - 3)*(s + 24)**3
Factor 2*f**4 + 1824*f**3 - 5490*f**2 + 8*f + 7320.
2*(f - 2)**2*(f + 1)*(f + 915)
What is l in 3*l**2/7 + 438*l/7 + 15987/7 = 0?
-73
What is y in 2*y**5/5 - 123*y**4/10 + 1241*y**3/10 - 429*y**2 + 1152*y/5 + 432/5 = 0?
-1/4, 1, 6, 12
Find s such that -2*s**3/3 + 1592*s**2/3 - 105070*s - 212268 = 0.
-2, 399
Determine s so that 578*s**3/9 - 272*s**2 + 184*s/3 - 32/9 = 0.
2/17, 4
What is k in 2*k**2/5 + 2*k = 0?
-5, 0
Solve 2*m**5/13 - 120*m**4/13 - 436*m**3/13 + 5160*m**2 + 48074*m = 0 for m.
-13, 0, 43
Determine k so that -441*k**4/2 - 2282*k**3 - 760*k**2 + 104*k + 40 = 0.
-10, -2/7, 2/9
Let 3*n**3 - 48*n**2 + 39*n + 90 = 0. Calculate n.
-1, 2, 15
Factor -3*x**3 + 66*x**2 + 525*x - 588.
-3*(x - 28)*(x - 1)*(x + 7)
Factor -16*j**3 + 308*j**2 - 620*j + 136.
-4*(j - 17)*(j - 2)*(4*j - 1)
Suppose 3*w**5 - 129*w**4 - 546*w**3 - 834*w**2 - 561*w - 141 = 0. What is w?
-1, 47
Find o, given that 21*o**3/2 + 99*o**2/2 + 27*o - 12 = 0.
-4, -1, 2/7
Suppose -4*p**4 - 96*p**3 + 204*p**2 - 104*p = 0. Calculate p.
-26, 0, 1
Factor 35*o**4 - 80*o**3 + 20*o**2.
5*o**2*(o - 2)*(7*o - 2)
Solve -3*f**3/4 - 171*f**2/4 + 45*f + 87 = 0 for f.
-58, -1, 2
Let 8*l**5/9 - 10*l**4/9 - 2*l**3/3 + 10*l**2/9 - 2*l/9 = 0. What is l?
-1, 0, 1/4, 1
Find o such that -5*o**3 - 320*o**2 + 655*o - 330 = 0.
-66, 1
Factor -27*p**5/5 + 288*p**4/5 - 858*p**3/5 + 96*p**2 - 15*p.
-3*p*(p - 5)**2*(3*p - 1)**2/5
Let 68*g**5 + 276*g**4 - 2500*g**3 + 4476*g**2 - 2176*g - 144 = 0. Calculate g.
-9, -1/17, 1, 2
Factor u**5 + 6*u**4 + 12*u**3 + 1