u + 89180.
5*(u + 14)**2*(u + 91)
Suppose 20*q**3/7 - 14*q**2 + 132*q/7 - 54/7 = 0. What is q?
9/10, 1, 3
Let 98*d**5 + 2688*d**4 + 8338*d**3 - 36988*d**2 + 18840*d - 2576 = 0. What is d?
-23, -7, 2/7, 2
Factor -j**2/2 - 6*j - 35/2.
-(j + 5)*(j + 7)/2
Suppose -5*z**2 - 210*z - 400 = 0. What is z?
-40, -2
Determine n, given that -4*n**3/9 + 160*n**2/9 - 700*n/9 = 0.
0, 5, 35
Factor r**2/5 - 36*r/5 + 7.
(r - 35)*(r - 1)/5
Factor 6*y**2/5 + 7548*y/5 + 7542/5.
6*(y + 1)*(y + 1257)/5
Factor -r**2 - 151*r - 298.
-(r + 2)*(r + 149)
Let 24*l**3/5 + 21*l**2/5 - 3*l/5 = 0. Calculate l.
-1, 0, 1/8
Let -f**3/4 - 13*f**2 = 0. Calculate f.
-52, 0
Factor m**3/9 - 34*m**2/9 + 269*m/9 + 304/9.
(m - 19)*(m - 16)*(m + 1)/9
Factor 4*v**3 + 1168*v**2 + 85264*v.
4*v*(v + 146)**2
Factor 2*v**2/3 - 2/3.
2*(v - 1)*(v + 1)/3
Find r, given that -16*r**4/3 + 524*r**3/3 + 1096*r**2/3 + 556*r/3 = 0.
-1, 0, 139/4
Solve 4*f**5/3 - 5*f**4/3 - 8*f**3/3 + 10*f**2/3 + 4*f/3 - 5/3 = 0 for f.
-1, 1, 5/4
Determine p so that 2*p**4 - 32*p**3 + 172*p**2 - 352*p + 210 = 0.
1, 3, 5, 7
Factor 5*t**3 + 90*t**2 - 195*t + 100.
5*(t - 1)**2*(t + 20)
Determine h so that 2*h**4 - 2*h**3 - 24*h**2 = 0.
-3, 0, 4
Find m such that -2*m**3/7 + 4*m**2/7 + 2*m/7 - 4/7 = 0.
-1, 1, 2
Factor -2*b**2/9 - 40*b/3 - 200.
-2*(b + 30)**2/9
Factor m**5/2 - 799*m**4/2 + 159999*m**3/2 - 159201*m**2/2.
m**2*(m - 399)**2*(m - 1)/2
Factor -x**3/10 - 23*x**2/10 + 33*x/2 - 261/10.
-(x - 3)**2*(x + 29)/10
Factor -3*a**3/4 - 3*a**2 + 153*a/4 - 135/2.
-3*(a - 3)**2*(a + 10)/4
Solve -2*x**2/9 + 68*x/9 = 0 for x.
0, 34
Let y**4 - y**3 - 9*y**2 - 11*y - 4 = 0. What is y?
-1, 4
Factor -2*w**2 + 564*w - 39762.
-2*(w - 141)**2
Find y, given that -2*y**4/7 + 68*y**3/7 - 466*y**2/7 + 400*y/7 = 0.
0, 1, 8, 25
Factor -x**2 + 844*x - 843.
-(x - 843)*(x - 1)
Factor 2*y**4 - 48*y**3 + 324*y**2 - 4374.
2*(y - 9)**3*(y + 3)
Suppose 2*b**2/7 + 102*b/7 - 1364/7 = 0. Calculate b.
-62, 11
Suppose o**2/2 + 9*o/2 - 35 = 0. Calculate o.
-14, 5
Factor z**5/5 - 7*z**4/5 + 3*z**3 - 13*z**2/5 + 4*z/5.
z*(z - 4)*(z - 1)**3/5
Factor -3*v**4 + 66*v**3 + 75*v**2 - 138*v.
-3*v*(v - 23)*(v - 1)*(v + 2)
Factor 2*o**3/7 - 52*o**2/7 - 2*o/7 + 52/7.
2*(o - 26)*(o - 1)*(o + 1)/7
Find q, given that -q**4/6 - 35*q**3/3 - 276*q**2 - 7120*q/3 - 11200/3 = 0.
-28, -20, -2
Find q such that 2*q**2 + 42*q + 40 = 0.
-20, -1
Factor f**4/7 - 5*f**3/7 - f**2/7 + 5*f/7.
f*(f - 5)*(f - 1)*(f + 1)/7
Solve -2*i**5/7 + 4*i**4/7 + 46*i**3/7 - 48*i**2/7 - 288*i/7 = 0 for i.
-3, 0, 4
Find g, given that -g**4 - g**3 + 3*g**2 + 5*g + 2 = 0.
-1, 2
Solve 3*k**4 - 96*k**3 + 555*k**2 - 750*k = 0.
0, 2, 5, 25
Factor 5*t**2 + 65*t + 60.
5*(t + 1)*(t + 12)
Factor -2*k**2 + 26*k + 96.
-2*(k - 16)*(k + 3)
Suppose -k**2 - 684*k - 116964 = 0. Calculate k.
-342
Suppose -2*x**5/5 + 32*x**3/5 = 0. What is x?
-4, 0, 4
Factor 5*z**2 - 42*z + 49.
(z - 7)*(5*z - 7)
Let 2*g**4 + 32*g**3 + 26*g**2 - 60*g = 0. What is g?
-15, -2, 0, 1
Solve n**2 + 408*n + 41616 = 0 for n.
-204
Determine b, given that -b**4/4 + 63*b**3/4 - 183*b**2/4 + 181*b/4 - 15 = 0.
1, 60
Factor 196*i**2 - 6552*i + 54756.
4*(7*i - 117)**2
Find q such that -3*q**2 + 1011*q = 0.
0, 337
Let -5*x**4/4 + 17*x**3/4 + 56*x**2 - 83*x + 24 = 0. Calculate x.
-6, 2/5, 1, 8
Suppose s**2/4 + 89*s/2 + 7921/4 = 0. What is s?
-89
Factor 5*g**5 + 22800*g**4.
5*g**4*(g + 4560)
Suppose 2*k**5/3 - 92*k**4/3 + 860*k**3/3 + 4504*k**2/3 + 6050*k/3 + 2500/3 = 0. Calculate k.
-2, -1, 25
Solve -8*r**3/9 - 166*r**2/9 + 14*r/3 = 0.
-21, 0, 1/4
Factor 2*q**2 + 46*q + 120.
2*(q + 3)*(q + 20)
Find y such that 2*y**3 + 10*y**2 + 14*y + 6 = 0.
-3, -1
Let -3*b**4/7 + 102*b**3/7 - 96*b**2/7 - 102*b/7 + 99/7 = 0. Calculate b.
-1, 1, 33
Find f such that -f**4/5 + 81*f**3/5 - 236*f**2/5 + 156*f/5 = 0.
0, 1, 2, 78
Let -3*h**2 - 6*h + 24 = 0. What is h?
-4, 2
Factor 3*x**4/7 + 54*x**3/7 - 120*x**2/7.
3*x**2*(x - 2)*(x + 20)/7
Factor 2*u**3/5 - 1342*u**2/5.
2*u**2*(u - 671)/5
What is c in 4*c**2 + 860*c = 0?
-215, 0
Factor -4*a**4 - 496*a**3/7 - 2880*a**2/7 - 5184*a/7 + 1728/7.
-4*(a + 6)**3*(7*a - 2)/7
Solve -6*m**4 + 68*m**3 - 136*m**2 + 92*m - 18 = 0.
1/3, 1, 9
Let -q**3 + 15*q**2 + 126*q = 0. Calculate q.
-6, 0, 21
Factor g**2 - 12*g - 13.
(g - 13)*(g + 1)
Factor -40*y**2 - 772*y - 228.
-4*(y + 19)*(10*y + 3)
Factor 65*n**2 + 64*n - 1.
(n + 1)*(65*n - 1)
Factor -d**2/7 - 53*d/7 - 282/7.
-(d + 6)*(d + 47)/7
Find a such that -a**4/3 + 127*a**3/6 - 29*a**2 - 737*a/6 - 217/3 = 0.
-1, 7/2, 62
Solve -3*o**2/7 + 102*o/7 + 15 = 0 for o.
-1, 35
Factor m**3/2 - 693*m**2 + 320166*m - 49305564.
(m - 462)**3/2
What is u in u**4/7 + 10*u**3/7 - 69*u**2/7 + 90*u/7 = 0?
-15, 0, 2, 3
Determine x so that -5*x**5/4 - 13*x**4/2 - 10*x**3 - 11*x**2/2 - 3*x/4 = 0.
-3, -1, -1/5, 0
Factor 125*r**2 - 900*r + 1620.
5*(5*r - 18)**2
What is o in -o**3 - 3516*o**2 - 4120752*o - 1609840448 = 0?
-1172
Find u such that -3*u**2 - 33*u + 78 = 0.
-13, 2
Factor 3*t**3 + 51*t**2 - 12*t - 204.
3*(t - 2)*(t + 2)*(t + 17)
Factor 2*k**2 - 12*k + 18.
2*(k - 3)**2
Factor -3*r**2/7 + 78*r/7 - 507/7.
-3*(r - 13)**2/7
Factor m**5/5 + 2*m**4 + 34*m**3/5 + 52*m**2/5 + 37*m/5 + 2.
(m + 1)**3*(m + 2)*(m + 5)/5
Factor 4*w**3 - 24*w**2 + 36*w.
4*w*(w - 3)**2
Determine r, given that 33*r**5 + 24*r**4 - 147*r**3 + 90*r**2 = 0.
-30/11, 0, 1
Determine x, given that 7*x**3 + 101*x**2/7 + 55*x/7 + 3/7 = 0.
-1, -3/49
Find g such that 3*g**4 + 48*g**3 + 72*g**2 - 960*g + 1200 = 0.
-10, 2
Factor -5*k**2 - 1050*k + 4280.
-5*(k - 4)*(k + 214)
Factor -3*h**2 - 522*h - 1032.
-3*(h + 2)*(h + 172)
Factor 2*o**3/7 - 72*o**2/7 - 152*o/7.
2*o*(o - 38)*(o + 2)/7
Find g, given that -g**3/3 + 50*g**2/3 - 143*g/3 + 94/3 = 0.
1, 2, 47
Factor 4*n**2/7 + 4*n/7 - 48/7.
4*(n - 3)*(n + 4)/7
Let 4*u**2 + 80*u - 84 = 0. What is u?
-21, 1
Find f such that -f**2/4 + 25*f/2 - 49/4 = 0.
1, 49
Factor q**4/7 - 13*q**3/7 + 32*q**2/7 - 20*q/7.
q*(q - 10)*(q - 2)*(q - 1)/7
Find k, given that 3*k**2 - 1716*k = 0.
0, 572
Solve i**3/10 + 3*i**2/2 + 6*i/5 - 14/5 = 0 for i.
-14, -2, 1
Let n**4/9 - n**3 + 29*n**2/9 - 13*n/3 + 2 = 0. What is n?
1, 2, 3
Factor h**3 + 5*h**2 + 8*h + 4.
(h + 1)*(h + 2)**2
Factor q**4/5 + 41*q**3/5 + 477*q**2/5 + 1159*q/5 + 722/5.
(q + 1)*(q + 2)*(q + 19)**2/5
Find l such that -l**4 - 79*l**3 - 155*l**2 - 77*l = 0.
-77, -1, 0
Factor f**4 - 2*f**3 - 23*f**2 + 24*f + 144.
(f - 4)**2*(f + 3)**2
Factor -3*i**3 - 45*i**2 + 363*i - 315.
-3*(i - 5)*(i - 1)*(i + 21)
Factor 7*i**2 - 201*i/4 + 35/4.
(i - 7)*(28*i - 5)/4
Factor 4*u**4/3 - 2552*u**3/9 + 60208*u**2/3 - 1411480*u/3 - 1431644/9.
4*(u - 71)**3*(3*u + 1)/9
Factor -6*u**3/5 + 244*u**2/5 + 82*u/5.
-2*u*(u - 41)*(3*u + 1)/5
Factor 4*l**3/7 - 96*l**2/7 + 48*l + 448.
4*(l - 14)**2*(l + 4)/7
Factor -5*o**3 + 280*o**2.
-5*o**2*(o - 56)
Factor 2*o**2/5 + 76*o/5 + 144/5.
2*(o + 2)*(o + 36)/5
Determine m so that 2*m**3/7 - 48*m**2/7 + 232*m/7 - 288/7 = 0.
2, 4, 18
Solve -3*z**5/4 - 105*z**4/4 + 111*z**3/4 + 105*z**2/4 - 27*z = 0.
-36, -1, 0, 1
Factor 3*s**4/4 + 969*s**3/4 - 978*s**2 + 981*s.
3*s*(s - 2)**2*(s + 327)/4
Determine m, given that m**2/4 - m/2 = 0.
0, 2
Factor 2*f**4 - 296*f**3 + 586*f**2 - 292*f.
2*f*(f - 146)*(f - 1)**2
Let -x**3/2 - 7*x**2/2 + x/2 + 7/2 = 0. What is x?
-7, -1, 1
Factor 6*c**3 + 124*c**2 - 184*c - 176.
2*(c - 2)*(c + 22)*(3*c + 2)
Factor -24*i**5 + 4*i**4 - i**3/6.
-i**3*(12*i - 1)**2/6
Factor -14*r**2/3 - 3986*r/9 + 380/9.
-2*(r + 95)*(21*r - 2)/9
Let -b**2/7 + 124*b/7 - 3844/7 = 0. What is b?
62
Suppose 10*a**5 - 626*a**4/3 - 718*a**3 - 802*a**2 - 1004*a/3 - 32 = 0. Calculate a.
-1, -2/15, 24
Solve -j**5/4 - 45*j**4/4 - 87*j**3/4 - 43*j**2/4 = 0 for j.
-43, -1, 0
Let -w**2/3 - 190*w/3 - 925/3 = 0. What is w?
-185, -5
What is p in -p**3/3 - 7*p**2 - 13*p - 19/3 = 0?
-19, -1
Factor -5*b**3 + 65*b**2 - 120*b - 540.
-5*(b - 9)*(b - 6)*(b + 2)
Let 2*w**3/11 - 6*w**2/11 - 2*w/11 + 6/11 = 0. Calculate w.
-1, 1, 3
Factor 2*m**3 + 2892*m**2 + 1393944*m + 223960336.
2*(m + 482)**3
Factor -2*y**4/11 - 2*y**3/11 + 10*y**2/11 - 6*y/11.
-2*y*(y - 1)**2*(y + 3)/11
Find z such that -338*z**4/7 + 5174*z**3/7 + 3840*z**2/7 - 1544*z/7 + 128/7 = 0.
-1, 2/13, 16
Suppose -4*d**5 - 140*d**4 - 1452*d**3 - 4372*d**2 - 4928*d - 1872 = 0. Calculate d.
-18, -13, -2, -1
Solve j**4/5 