
Determine k so that -k**3/7 + 3*k**2/7 + 24*k/7 + 4 = 0.
-2, 7
Determine a so that a**5/2 - a**4/2 - 26*a**3 - 82*a**2 - 72*a = 0.
-4, -2, 0, 9
Find s such that -s**5/4 - 2*s**4 - 5*s**3 - 5*s**2/2 + 21*s/4 + 9/2 = 0.
-3, -2, -1, 1
Find t, given that -3*t**3 - 15*t**2 + 96*t - 108 = 0.
-9, 2
Factor -69*v**3 - 438*v**2 - 765*v - 216.
-3*(v + 3)**2*(23*v + 8)
Suppose 4*x**3 + 12*x**2 = 0. What is x?
-3, 0
Factor 2*k**2 - 13*k - 7.
(k - 7)*(2*k + 1)
What is x in 2*x**5/17 + 182*x**4/17 + 4230*x**3/17 + 4050*x**2/17 = 0?
-45, -1, 0
Factor c**2 + 7*c + 6.
(c + 1)*(c + 6)
Solve 4*p**2 - 232*p + 3364 = 0.
29
Factor -2*v**5 + 118*v**4 + 120*v**3.
-2*v**3*(v - 60)*(v + 1)
Find z such that -4*z**4 - 68*z**3 + 92*z**2 + 372*z + 216 = 0.
-18, -1, 3
Suppose o**4/7 + 164*o**3/7 + 6886*o**2/7 + 13284*o/7 + 6561/7 = 0. Calculate o.
-81, -1
Suppose p**3/4 + 149*p**2 + 22201*p = 0. What is p?
-298, 0
Factor 2*g**3/7 + 538*g**2/7 + 36448*g/7 + 35912/7.
2*(g + 1)*(g + 134)**2/7
Let m**3/11 + 17*m**2/11 - 58*m/11 + 40/11 = 0. Calculate m.
-20, 1, 2
Factor -q**4/5 - 2*q**3 + q**2/5 + 2*q.
-q*(q - 1)*(q + 1)*(q + 10)/5
Determine u so that -u**2/3 + 4*u/3 + 4 = 0.
-2, 6
What is f in 2*f**4/11 + 10*f**3/11 - 12*f**2/11 = 0?
-6, 0, 1
Determine h so that 4*h**2/7 + 536*h/7 + 1572/7 = 0.
-131, -3
Let -4*d**3 - 44*d**2 - 112*d = 0. Calculate d.
-7, -4, 0
Solve 15*b**4/7 - 138*b**3/7 - 285*b**2/7 - 132*b/7 = 0 for b.
-1, -4/5, 0, 11
Find u, given that 8*u**5/7 - 4418*u**4/7 + 1096*u**3/7 + 4418*u**2/7 - 1104*u/7 = 0.
-1, 0, 1/4, 1, 552
Suppose 2*l**3/7 - 6*l**2 + 28*l = 0. Calculate l.
0, 7, 14
Factor -2*y**5/9 + 130*y**4/9 - 1910*y**3/9 - 6530*y**2/9 - 6800*y/9 - 2312/9.
-2*(y - 34)**2*(y + 1)**3/9
Determine y, given that -4*y**2 - 2996*y - 2992 = 0.
-748, -1
Let -w**5/2 + 5*w**4 + w**3/2 - 5*w**2 = 0. What is w?
-1, 0, 1, 10
Factor 5*s**2 + 95*s + 300.
5*(s + 4)*(s + 15)
Factor -8*k**3/17 - 2*k**2/17 + 6*k/17.
-2*k*(k + 1)*(4*k - 3)/17
Let 2*q**5/7 + 6*q**4/7 - 124*q**3/7 - 708*q**2/7 - 1030*q/7 - 450/7 = 0. Calculate q.
-5, -1, 9
Suppose -4*n**4 + 24*n**3 + 124*n**2 - 144*n = 0. What is n?
-4, 0, 1, 9
Find i such that i**4/5 + 62*i**3/5 + 284*i**2/5 - 62*i/5 - 57 = 0.
-57, -5, -1, 1
Let -4*j**2 - 1016*j - 3012 = 0. What is j?
-251, -3
Determine w so that w**5/3 - 2*w**4 + w**3/3 + 8*w**2 + 16*w/3 = 0.
-1, 0, 4
Factor -3*w**2/4 - 2517*w/4 - 1257/2.
-3*(w + 1)*(w + 838)/4
Factor -u**2/2 + 51*u/2 - 115.
-(u - 46)*(u - 5)/2
Find n such that 4*n**5 - 28*n**4 + 12*n**3 + 236*n**2 - 416*n + 192 = 0.
-3, 1, 4
Factor z**2/5 - 38*z/5 + 261/5.
(z - 29)*(z - 9)/5
Let -4*k**4/7 + 1612*k**2/7 - 456*k = 0. Calculate k.
-21, 0, 2, 19
Factor -3*t**3/2 + 6*t**2 + 15*t/2.
-3*t*(t - 5)*(t + 1)/2
Solve -b**5/7 + 16*b**4/7 - 75*b**3/7 + 68*b**2/7 + 160*b/7 = 0 for b.
-1, 0, 4, 5, 8
Determine d, given that d**2/4 - 225*d + 50625 = 0.
450
Factor 722*b**4/9 + 4636*b**3/3 - 3514*b**2/3 + 1960*b/9.
2*b*(b + 20)*(19*b - 7)**2/9
Solve 5*f**4 + 15*f**3 - 25*f**2 - 15*f + 20 = 0 for f.
-4, -1, 1
Suppose 2*z**4/7 + 2*z**3 + 34*z**2/7 + 34*z/7 + 12/7 = 0. What is z?
-3, -2, -1
Suppose -2*m**4/17 - 1118*m**3/17 - 155676*m**2/17 + 159040*m/17 + 313600/17 = 0. Calculate m.
-280, -1, 2
Factor -4*j**4 + 64*j**3 + 12*j**2 - 200*j + 128.
-4*(j - 16)*(j - 1)**2*(j + 2)
Solve 2*f**4 + 18*f**3 - 8*f**2 - 312*f - 288 = 0.
-6, -1, 4
What is j in -4*j**2/5 - 56*j/5 + 12 = 0?
-15, 1
Factor -2*u**3 - 98*u**2 - 190*u - 94.
-2*(u + 1)**2*(u + 47)
Determine y, given that 5*y**2 + 225*y - 470 = 0.
-47, 2
Find w, given that -7*w**3/4 - 10*w**2 - 23*w/4 + 5/2 = 0.
-5, -1, 2/7
Find i, given that 3*i**5/8 - 13395*i**4/8 - 26799*i**3/8 - 13401*i**2/8 = 0.
-1, 0, 4467
Factor -5*h**3 - 15*h**2 + 20.
-5*(h - 1)*(h + 2)**2
Let 2*c**2/11 - 4570*c/11 + 4568/11 = 0. What is c?
1, 2284
Solve -2*h**3/5 - 18*h**2/5 - 6*h - 14/5 = 0 for h.
-7, -1
Solve -2*x**4/3 + 1088*x**3/3 - 150110*x**2/3 + 192600*x + 243000 = 0 for x.
-1, 5, 270
What is d in -3*d**3 - 288*d**2 - 6912*d = 0?
-48, 0
Let 15*u**5 + 110*u**4 + 175*u**3 - 20*u**2 - 100*u = 0. What is u?
-5, -2, -1, 0, 2/3
Suppose -5*x**2 + 15*x + 200 = 0. Calculate x.
-5, 8
Find u such that -9*u**4/2 + 231*u**3/2 - 177*u**2 - 72*u = 0.
-1/3, 0, 2, 24
Find h such that 5*h**4 - 2795*h**3/4 + 520*h**2 + 695*h/4 = 0.
-1/4, 0, 1, 139
Let 15*a**3 - 125*a**2 - 870*a - 520 = 0. What is a?
-4, -2/3, 13
Factor 2*r**3/13 + 20*r**2/13 + 66*r/13 + 72/13.
2*(r + 3)**2*(r + 4)/13
Find b such that -3*b**2 + 9*b - 6 = 0.
1, 2
Determine k so that -k**4 - 4*k**3 + 13*k**2 + 40*k - 48 = 0.
-4, 1, 3
Find u, given that -8*u**3 + 56*u**2/3 - 50*u/9 + 4/9 = 0.
1/6, 2
Factor 3*b**3/5 - 12*b**2 + 267*b/5 - 42.
3*(b - 14)*(b - 5)*(b - 1)/5
Factor 4*n**2 + 696*n + 30276.
4*(n + 87)**2
Factor -23*m**3 + 30*m**2 + 92*m - 120.
-(m - 2)*(m + 2)*(23*m - 30)
Factor -f**4/10 + 417*f**3/10 + 837*f**2/10 + 419*f/10.
-f*(f - 419)*(f + 1)**2/10
Suppose -3*t**2 - 9123*t + 18258 = 0. What is t?
-3043, 2
Determine k, given that 14*k**5 - 18*k**4 - 10*k**3 + 18*k**2 - 4*k = 0.
-1, 0, 2/7, 1
Factor 4*z**3/7 - 432*z/7 - 1728/7.
4*(z - 12)*(z + 6)**2/7
Let j**2/5 + 6*j/5 - 16/5 = 0. What is j?
-8, 2
Factor k**4 - 72*k**3 + 1366*k**2 - 2520*k + 1225.
(k - 35)**2*(k - 1)**2
Factor 3*i**3/4 - 81*i**2/4 - 90*i - 93.
3*(i - 31)*(i + 2)**2/4
Factor 2*w**3/9 + 956*w**2/9 - 1918*w/9 + 320/3.
2*(w - 1)**2*(w + 480)/9
Factor -y**3/5 - 23*y**2/5 - 122*y/5 - 32.
-(y + 2)*(y + 5)*(y + 16)/5
Factor -2*z**3/9 + 46*z**2/9 + 16*z/3.
-2*z*(z - 24)*(z + 1)/9
Factor -3*d**3 + 30*d**2 + 12*d - 120.
-3*(d - 10)*(d - 2)*(d + 2)
Determine y, given that -44*y**3 + 1856*y**2 - 2140*y + 328 = 0.
2/11, 1, 41
Factor -2*i**4 + 176*i**3 - 516*i**2 + 512*i - 170.
-2*(i - 85)*(i - 1)**3
Factor -t**5 + 7*t**3 - 6*t**2.
-t**2*(t - 2)*(t - 1)*(t + 3)
Determine k so that 4*k**3/5 - 2*k**2/5 - 2*k/5 = 0.
-1/2, 0, 1
Factor f**3/4 - 15*f**2/2 + 153*f/4 - 54.
(f - 24)*(f - 3)**2/4
Factor h**2/7 + h - 8/7.
(h - 1)*(h + 8)/7
Determine j so that 3*j**2 + 48*j + 192 = 0.
-8
Factor 5*z**3 + 45*z**2 + 40*z.
5*z*(z + 1)*(z + 8)
Determine f, given that 4*f**4 + 96*f**3 - 468*f**2 - 560*f = 0.
-28, -1, 0, 5
Let 2*i**4 + 68*i**3 + 248*i**2 + 240*i = 0. What is i?
-30, -2, 0
Factor -2*z**3/7 - 26*z**2/7 + 68*z/7 + 80.
-2*(z - 5)*(z + 4)*(z + 14)/7
Suppose -2395*g**2 - 469*g + 2 = 0. Calculate g.
-1/5, 2/479
Find x such that 5*x**4 - 275*x**3 + 525*x**2 + 275*x - 530 = 0.
-1, 1, 2, 53
Find g such that 2*g**2/11 - 76*g/11 + 722/11 = 0.
19
Factor -3*i**2 - 18*i + 48.
-3*(i - 2)*(i + 8)
Solve -2*k**5/13 - 34*k**4/13 - 70*k**3/13 + 226*k**2/13 + 384*k/13 - 504/13 = 0.
-14, -3, 1, 2
Find b, given that -2*b**3 + 30*b**2 + 236*b + 336 = 0.
-4, -2, 21
Factor -3162*c**4 + 9482*c**3 - 9474*c**2 + 3150*c + 4.
-2*(c - 1)**3*(1581*c + 2)
Determine w so that w**4/8 - 25*w**3/8 + 189*w**2/8 - 407*w/8 + 121/4 = 0.
1, 2, 11
Factor 4*k**4 - 100*k**3 + 852*k**2 - 2700*k + 1944.
4*(k - 9)**2*(k - 6)*(k - 1)
Factor -2*o**3/13 - 88*o**2/13 - 320*o/13.
-2*o*(o + 4)*(o + 40)/13
Solve -2*z**3/7 - 30*z**2/7 + 144*z/7 - 152/7 = 0.
-19, 2
Factor -c**4/4 - 26*c**3 - 1014*c**2 - 17576*c - 114244.
-(c + 26)**4/4
Suppose 5*g**5 + 285*g**4 + 1080*g**3 + 1060*g**2 = 0. Calculate g.
-53, -2, 0
Factor 2*p**3/7 - 1226*p**2/7.
2*p**2*(p - 613)/7
Find a, given that -2*a**4 + 6*a**3 + 370*a**2 + 714*a + 352 = 0.
-11, -1, 16
Factor y**4/2 + 103*y**3/2 + 1299*y**2 - 1456*y - 2704.
(y - 2)*(y + 1)*(y + 52)**2/2
Factor d**2 + 1051*d/4 + 393/2.
(d + 262)*(4*d + 3)/4
Factor -t**3/2 + 4*t**2 - 19*t/2 + 6.
-(t - 4)*(t - 3)*(t - 1)/2
Find u such that 55*u**2 + 115*u + 10 = 0.
-2, -1/11
Let 2*v**4 + 12*v**3 - 50*v**2 + 36*v = 0. What is v?
-9, 0, 1, 2
Solve 27*r**5 - 264*r**4 + 912*r**3 - 1242*r**2 + 405*r + 162 = 0.
-2/9, 1, 3
Let -4*z**3 + 84*z**2 - 576*z + 1280 = 0. What is z?
5, 8
Factor -2*l**2 + 10*l - 12.
-2*(l - 3)*(l - 2)
Find l such that 18*l**3 + 4*l**2 - 18*l - 4 = 0.
-1, -2/9, 1
What is v in 3295*v**3/2 + 5*v**2 - 6590*v - 20 = 0?
-2, -2/659, 2
Suppose g**4/2 + 167*g**3/8 - 23*g**2/4 - 167*g/8 + 21/4 = 0. What is g?
-42, -1, 1/4, 1
Determine w, given that w**5 - 10*w**4 + 23*w**3 - 14*w**2 = 0.
0, 1, 2, 7
Factor -o**2/3 - 180*o - 24300.
-(o + 270)**2/3
Factor 5*x**3 + 70*x**2 + 245*x.
5*x*(x + 7)**2
Factor 2*b**4 + 