
3, 1055
Factor 2*z**3 - 18*z**2 - 44*z.
2*z*(z - 11)*(z + 2)
Solve -75843*c**3/5 - 24327*c**2/5 + 63*c - 1/5 = 0.
-1/3, 1/159
Determine a so that -147*a**3 - 10024*a**2 - 5716*a/3 - 272/3 = 0.
-68, -2/21
Determine v so that -9*v**2/2 - 3021*v - 2013/2 = 0.
-671, -1/3
Find b such that -b**5/9 - b**4 - 29*b**3/9 - 13*b**2/3 - 2*b = 0.
-3, -2, -1, 0
Factor 2*o**5/3 + 20*o**4 + 554*o**3/3 + 520*o**2 + 1352*o/3.
2*o*(o + 2)**2*(o + 13)**2/3
Factor -x**4/4 + 9*x**2/4.
-x**2*(x - 3)*(x + 3)/4
Solve 3*b**4 - 35*b**3 - 645*b**2 - 805*b - 198 = 0 for b.
-9, -1, -1/3, 22
Let 1660*y**5/3 + 1952*y**4/3 + 284*y**3/3 - 8*y**2/3 = 0. What is y?
-1, -1/5, 0, 2/83
Factor -6*y**3 + 2650*y**2 - 4404*y + 1760.
-2*(y - 440)*(y - 1)*(3*y - 2)
Solve 4*n**3 - 12240*n**2 + 12484800*n - 4244832000 = 0 for n.
1020
Determine x so that -15*x**5 - 36*x**4 - 12*x**3 = 0.
-2, -2/5, 0
Determine w so that w**5 + 2*w**4 - 39*w**3 + 76*w**2 + 20*w - 96 = 0.
-8, -1, 2, 3
Factor 2*o**2 - 42*o - 44.
2*(o - 22)*(o + 1)
Let -2*m**4/3 - 20*m**3/3 - 22*m**2/3 + 92*m/3 + 32 = 0. Calculate m.
-8, -3, -1, 2
Suppose 2*i**3/15 - 2*i**2/5 - 48*i/5 + 216/5 = 0. Calculate i.
-9, 6
Factor 2*n**4 - 2*n**3.
2*n**3*(n - 1)
Factor -4*w**2 + 3672*w - 842724.
-4*(w - 459)**2
Find a, given that -15*a**4/2 - 63*a**3/2 + 39*a**2 = 0.
-26/5, 0, 1
Suppose -h**2/5 + 212*h/5 - 11236/5 = 0. What is h?
106
What is l in -2*l**4 + 16*l**3 + 6*l**2 - 52*l + 32 = 0?
-2, 1, 8
Factor 2*y**3/15 + 16*y**2/3 + 226*y/15 + 148/15.
2*(y + 1)*(y + 2)*(y + 37)/15
Let -2*b**2/13 + 5910*b/13 + 5912/13 = 0. What is b?
-1, 2956
Factor -5*m**2 - 45*m + 1430.
-5*(m - 13)*(m + 22)
Factor 2*k**3/9 + 4*k**2/9 - 14*k/3 + 4.
2*(k - 3)*(k - 1)*(k + 6)/9
What is f in -f**3/11 - 4*f**2/11 = 0?
-4, 0
Let -7*p**4/3 - 23*p**3/3 + 12*p**2 + 68*p/3 + 16/3 = 0. What is p?
-4, -1, -2/7, 2
What is y in -y**3/2 - 35*y**2/2 + 153*y/2 - 117/2 = 0?
-39, 1, 3
Determine c, given that 3*c**4/7 + 90*c**3/7 - 204*c**2/7 - 360*c/7 + 768/7 = 0.
-32, -2, 2
Find i such that i**5/5 + 72*i**4/5 + 198*i**3/5 - 616*i**2/5 + 69*i = 0.
-69, -5, 0, 1
What is q in -2*q**3/7 + 44*q**2/7 + 50*q/7 - 92/7 = 0?
-2, 1, 23
Factor -d**5/4 + d**4 - d**3 - d**2/2 + 5*d/4 - 1/2.
-(d - 2)*(d - 1)**3*(d + 1)/4
Factor h**2/4 - 655*h/4 - 164.
(h - 656)*(h + 1)/4
Solve -2*j**5 - 212*j**4 - 618*j**3 + 8*j**2 + 824*j = 0.
-103, -2, 0, 1
Solve a**3/9 + 85*a**2/9 = 0 for a.
-85, 0
Factor -2*s**4/5 + 8*s**3/5 + 24*s**2/5.
-2*s**2*(s - 6)*(s + 2)/5
Factor -p**2/8 - 165*p/4 - 82.
-(p + 2)*(p + 328)/8
Determine q so that -q**4/4 - 19*q**3/2 - 55*q**2 + 726*q = 0.
-22, 0, 6
Factor -3*a**3 - 84*a**2 + 3*a + 84.
-3*(a - 1)*(a + 1)*(a + 28)
Determine m so that -2*m**2/9 - 20*m/3 + 128/9 = 0.
-32, 2
Factor 4*j**3 + 44*j**2 + 144*j + 144.
4*(j + 2)*(j + 3)*(j + 6)
Factor -2*m**2/11 + 1576*m/11 - 310472/11.
-2*(m - 394)**2/11
Factor 4*c**3 + 128*c**2.
4*c**2*(c + 32)
Suppose 5*m**2 - 10*m = 0. What is m?
0, 2
Find x, given that 10*x**2 - 145*x - 75 = 0.
-1/2, 15
Find x, given that x**4/3 - 2*x**3 + 4*x**2 - 10*x/3 + 1 = 0.
1, 3
Factor -5*z**3/4 - 68*z**2 - 373*z/4 - 53/2.
-(z + 1)*(z + 53)*(5*z + 2)/4
Factor 2*t**4 + 6*t**3 - 38*t**2 - 174*t - 180.
2*(t - 5)*(t + 2)*(t + 3)**2
Factor 4*f**2 - 1040*f + 67600.
4*(f - 130)**2
Let -2*s**5 + 6*s**4 + 22*s**3 - 6*s**2 - 20*s = 0. What is s?
-2, -1, 0, 1, 5
Solve -3*m**2/4 - 159*m/4 + 81/2 = 0 for m.
-54, 1
Factor -5*m**2 + 5*m + 10.
-5*(m - 2)*(m + 1)
Solve 1005*t**2 - 1960*t - 100 = 0 for t.
-10/201, 2
Factor -3*s**3/8 + 2*s**2 + 35*s/8.
-s*(s - 7)*(3*s + 5)/8
Factor 6*p**2/19 - 272*p + 1722/19.
2*(p - 861)*(3*p - 1)/19
Factor 4*i**3/9 + 8*i**2/9 - 4*i/3.
4*i*(i - 1)*(i + 3)/9
Factor -k**3/2 + 10*k**2 + 97*k/2 - 322.
-(k - 23)*(k - 4)*(k + 7)/2
Determine s so that -5*s**3 - 465*s**2 = 0.
-93, 0
Factor -4*z**3 + 312*z**2 - 7140*z + 39200.
-4*(z - 35)**2*(z - 8)
Factor -2*l**3/3 - 238*l**2/3 + 482*l/3 - 242/3.
-2*(l - 1)**2*(l + 121)/3
Factor 98*v**4 + 336*v**3 + 428*v**2 + 240*v + 50.
2*(v + 1)**2*(7*v + 5)**2
Factor 2*p**2 + 18*p - 504.
2*(p - 12)*(p + 21)
Determine h, given that -10*h**5 - 86*h**4 + 16*h**3 + 848*h**2 - 1056*h + 288 = 0.
-6, 2/5, 1, 2
Factor k**4/5 + 677*k**3/5 + 2022*k**2/5 - 4*k/5 - 2696/5.
(k - 1)*(k + 2)**2*(k + 674)/5
Factor 5*o**3 - 10*o**2 - 145*o - 210.
5*(o - 7)*(o + 2)*(o + 3)
Determine u so that 52*u**5 - 148*u**4 - 1272*u**3 - 1648*u**2 - 224*u = 0.
-2, -2/13, 0, 7
What is q in -q**5 - 10*q**4 - 20*q**3 + 10*q**2 + 21*q = 0?
-7, -3, -1, 0, 1
Factor 2*m**3/17 - 90*m**2/17 - 2*m/17 + 90/17.
2*(m - 45)*(m - 1)*(m + 1)/17
Suppose 3*r**2 + 462*r + 912 = 0. Calculate r.
-152, -2
Suppose 6*a**2 + 1995*a + 996 = 0. What is a?
-332, -1/2
Find r such that 3*r**3/2 - 15*r**2 + 63*r/2 = 0.
0, 3, 7
Factor 2*y**4/13 + 284*y**3/13 - 1752*y**2/13 + 272*y - 2368/13.
2*(y - 2)**3*(y + 148)/13
Factor -3*q**2/2 + 3495*q/2.
-3*q*(q - 1165)/2
Suppose s**2/2 + 53*s/2 - 730 = 0. What is s?
-73, 20
Factor 2*v**2/7 - 48*v/7 + 190/7.
2*(v - 19)*(v - 5)/7
Find l such that -15*l**3 + 6*l**2 = 0.
0, 2/5
Factor -3*s**2/5 + 1113*s/5 - 222.
-3*(s - 370)*(s - 1)/5
Let 5*l**5 - 50*l**4 + 105*l**3 + 20*l**2 - 140*l = 0. Calculate l.
-1, 0, 2, 7
What is q in -2*q**4/9 + 68*q**3/9 - 82*q**2/3 + 20*q = 0?
0, 1, 3, 30
Let -p**3 + 726*p**2 - 175692*p + 14172488 = 0. What is p?
242
Find s, given that -2*s**3/19 + 106*s**2/19 + 118*s - 2346/19 = 0.
-17, 1, 69
Factor 5*g**2/4 - 1445*g/4 - 725/2.
5*(g - 290)*(g + 1)/4
Suppose 2*x**5/9 - 116*x**4/9 + 1786*x**3/9 - 2800*x**2/9 - 1568*x/3 = 0. Calculate x.
-1, 0, 3, 28
Solve 3*n**2 - 2280*n + 433200 = 0 for n.
380
Factor 2*r**3/7 + 262*r**2/7 - 2*r/7 - 262/7.
2*(r - 1)*(r + 1)*(r + 131)/7
Suppose 2*q**5 + q**4 - 5*q**3 - q**2 + 3*q = 0. What is q?
-3/2, -1, 0, 1
Factor -u**3/8 - 361*u**2/8 - 4004*u + 24843/2.
-(u - 3)*(u + 182)**2/8
Factor j**2 + 25*j + 46.
(j + 2)*(j + 23)
Factor -2*u**3/5 + 8*u**2/5 + 2*u.
-2*u*(u - 5)*(u + 1)/5
Factor -m**2/4 + 1/4.
-(m - 1)*(m + 1)/4
Find p, given that 8*p**4/3 + 62*p**3 + 330*p**2 + 1004*p/3 + 64 = 0.
-16, -6, -1, -1/4
Factor -5*p**3 + 4230*p**2 - 1192860*p + 112128840.
-5*(p - 282)**3
Suppose b**2/4 + 43*b/2 + 1849/4 = 0. What is b?
-43
Factor -3*x**3 + 174*x**2 - 1683*x - 26136.
-3*(x - 33)**2*(x + 8)
Factor -u**4/8 + 4*u**3 - 221*u**2/8 - 289*u/4.
-u*(u - 17)**2*(u + 2)/8
Find b such that 4*b**5/5 + 76*b**4/5 + 44*b**3 - 60*b**2 = 0.
-15, -5, 0, 1
Determine d so that 5*d**4 - 530*d**3 + 13505*d**2 + 28620*d + 14580 = 0.
-1, 54
Find c, given that -5*c**5 + 105*c**4 + 10*c**3 - 210*c**2 - 5*c + 105 = 0.
-1, 1, 21
Suppose -5*v**2 - 995*v + 1000 = 0. What is v?
-200, 1
Factor -7*r**2/4 + 11*r/4 - 1.
-(r - 1)*(7*r - 4)/4
Factor -3*b**4/2 - 423*b**3/2 - 9225*b**2 - 86250*b + 1687500.
-3*(b - 9)*(b + 50)**3/2
Factor 2*d**2/11 + 43*d/11 + 21/11.
(d + 21)*(2*d + 1)/11
Factor 3*v**2 - 30*v - 33.
3*(v - 11)*(v + 1)
Solve -h**5 + h**4 = 0.
0, 1
Factor 4*t**3/5 + 8*t**2/5 - 28*t/5 + 16/5.
4*(t - 1)**2*(t + 4)/5
Factor -3*s**2 + 21*s + 132.
-3*(s - 11)*(s + 4)
Suppose -3*j**3 + 42*j**2 - 72*j = 0. Calculate j.
0, 2, 12
Factor 15*t**3 - 25*t**2 + 10*t.
5*t*(t - 1)*(3*t - 2)
Factor 4*m**3 + 36*m**2 + 32*m.
4*m*(m + 1)*(m + 8)
Find g, given that -3*g**5 + 3*g**3 = 0.
-1, 0, 1
Factor -3*b**3 + 3*b**2 + 51*b + 45.
-3*(b - 5)*(b + 1)*(b + 3)
Find t such that 2*t**2/19 - 15772*t/19 + 31094498/19 = 0.
3943
Let -2*c**5/3 + 6*c**4 - 62*c**3/3 + 34*c**2 - 80*c/3 + 8 = 0. Calculate c.
1, 2, 3
Solve 2*k**2/7 + 54*k/7 - 8 = 0 for k.
-28, 1
Solve c**5/2 + 11*c**4/2 + 45*c**3/2 + 81*c**2/2 + 27*c = 0.
-3, -2, 0
Suppose -3*h**5 + 45*h**4 - 177*h**3 + 135*h**2 = 0. Calculate h.
0, 1, 5, 9
Suppose 2*i**5/7 + 20*i**4/7 + 64*i**3/7 + 76*i**2/7 + 30*i/7 = 0. Calculate i.
-5, -3, -1, 0
Suppose 3*d**3/7 - 576*d**2/7 + 36864*d/7 - 786432/7 = 0. Calculate d.
64
Factor 4*o**3/5 - 8*o**2 + 96*o/5.
4*o*(o - 6)*(o - 4)/5
Suppose -6*h**2 + 268*h - 176 = 0. Calculate h.
2/3, 44
Factor 4*c**2/5 - 92*c/5 + 304/5.
4*(c - 19)*(c - 4)/5
Determine q so that 3*q**3/4 + 36*q**2 + 279*q/4 + 69/2 = 0.
-46, -1
Factor -4*q**3 + 52*q**2 - 105*q - 450.
-(q + 2)*(2*q - 15)**2
Suppose 54*w**4 + 270*w**3 - 306*w**2 + 106*w - 12 = 0. What is w?
-6, 1/3
Let 4*q**4/3 - 40*q**3/3 + 16*q**2 + 96*q = 0. What is q?
-2, 0, 6
Determine f, giv