+ 448*q/5 + 192/5 = 0.
-3, -2
Factor 5*n**3/3 + 4*n**2/3 - n/3.
n*(n + 1)*(5*n - 1)/3
Solve -3*r**2 - 420*r + 852 = 0 for r.
-142, 2
Solve -2*l**3/13 + 4*l**2 + 110*l/13 + 56/13 = 0.
-1, 28
Find w such that -5*w**2/2 + 75*w + 155/2 = 0.
-1, 31
Factor 4*d**2 + 1212*d - 3672.
4*(d - 3)*(d + 306)
Find u, given that 2*u**2/5 + 224*u/5 + 6272/5 = 0.
-56
Solve 4761*b**4 + 1886*b**3 + 220*b**2 + 8*b = 0 for b.
-2/9, -2/23, 0
Let -3*p**4 + 132*p**3 + 279*p**2 - 132*p - 276 = 0. What is p?
-2, -1, 1, 46
Factor -2*a**2/5 + 126*a/5.
-2*a*(a - 63)/5
Solve 2*b**2/9 - 44*b - 398/9 = 0 for b.
-1, 199
Factor o**4 - 40*o**3 - 2100*o**2.
o**2*(o - 70)*(o + 30)
Solve 4*h**5/9 + 2*h**4/9 - 14*h**3/9 - 14*h**2/9 + 2*h/9 + 4/9 = 0.
-1, 1/2, 2
Find a, given that 4*a**5/7 - 596*a**4/7 + 16512*a**3/7 - 187904*a**2/7 + 139264*a - 1916928/7 = 0.
8, 117
Factor -5*k**4 - 75*k**3 - 360*k**2 - 560*k.
-5*k*(k + 4)**2*(k + 7)
Factor -z**5/3 + 31*z**4 - 1094*z**3/3 + 4412*z**2/3 - 2472*z + 4480/3.
-(z - 80)*(z - 7)*(z - 2)**3/3
Solve -3*h**4/2 - 39*h**3 - 72*h**2 = 0 for h.
-24, -2, 0
Determine z, given that -2*z**3/15 + 2*z**2/3 + 16*z/15 - 8/5 = 0.
-2, 1, 6
Solve -2*a**3/7 + 526*a**2/7 - 34320*a/7 - 34848/7 = 0.
-1, 132
Factor 3*r**2 + 16764*r + 23419308.
3*(r + 2794)**2
Factor -5*z**3 + 25*z**2 - 20*z.
-5*z*(z - 4)*(z - 1)
Suppose 3*q**3/2 + 771*q**2/2 - 387*q = 0. What is q?
-258, 0, 1
Solve -9*q**5 + 87*q**4 - 271*q**3 + 297*q**2 - 120*q + 16 = 0.
1/3, 1, 4
Solve -4*l**2 + 104*l = 0.
0, 26
Let -u**3 + 77*u**2 + u - 77 = 0. What is u?
-1, 1, 77
Factor 4*i**3/9 + 36*i**2 - 112*i/3 - 656/9.
4*(i - 2)*(i + 1)*(i + 82)/9
Factor 4*c**4 - 52*c**3 - 4968*c**2 + 136080*c - 956448.
4*(c - 18)**3*(c + 41)
Suppose -2*m**5 - 18*m**4 - 52*m**3 - 40*m**2 + 48*m + 64 = 0. Calculate m.
-4, -2, 1
Determine s so that 8*s**4/17 + 216*s**3/17 + 1458*s**2/17 = 0.
-27/2, 0
Find t such that 5*t**2 - 390*t + 385 = 0.
1, 77
Determine j so that 4*j**2 - 748*j - 1512 = 0.
-2, 189
Factor 3*s**2 - 237*s - 240.
3*(s - 80)*(s + 1)
Factor -5*l**4 + 350*l**3 - 5765*l**2 - 12600*l - 6480.
-5*(l - 36)**2*(l + 1)**2
Factor 2*s**2/7 - 1622*s/7 - 3252/7.
2*(s - 813)*(s + 2)/7
Solve -z**2 + 956*z - 228484 = 0.
478
Factor -p**2 - 53*p.
-p*(p + 53)
Factor -f**4 - 45*f**3 - 42*f**2 + 88*f.
-f*(f - 1)*(f + 2)*(f + 44)
Let 4*t**3 - 656*t**2 - 11264*t - 46080 = 0. What is t?
-8, 180
Suppose 3*b**2/5 + 15*b = 0. What is b?
-25, 0
Factor -2*r**5 - 152*r**4 - 1484*r**3 - 3560*r**2 - 3266*r - 1040.
-2*(r + 1)**3*(r + 8)*(r + 65)
Let 6*k**4/5 - k**3/5 - 37*k**2/5 + 53*k/5 - 21/5 = 0. Calculate k.
-3, 1, 7/6
Factor -3*j**4 - 6*j**3 + 15*j**2 + 18*j.
-3*j*(j - 2)*(j + 1)*(j + 3)
Find u, given that -2*u**3 + 2*u**2 + 66*u + 126 = 0.
-3, 7
Factor -4*t**3/3 + 31*t**2/3 + 4*t/3 - 31/3.
-(t - 1)*(t + 1)*(4*t - 31)/3
Factor -n**2/2 - 264*n.
-n*(n + 528)/2
Factor 2*p**3/7 + 1650*p**2/7 + 453750*p/7 + 41593750/7.
2*(p + 275)**3/7
Suppose -2*q**5/5 + 2*q**4 - 14*q**3/5 - 2*q**2/5 + 16*q/5 - 8/5 = 0. What is q?
-1, 1, 2
Factor -5*z**3 + 830*z**2 + 1675*z + 840.
-5*(z - 168)*(z + 1)**2
Factor 2*l**4/9 + 80*l**3/9 + 800*l**2/9.
2*l**2*(l + 20)**2/9
Factor a**3 + 823*a**2/4 - 1357*a/2 + 627/4.
(a - 3)*(a + 209)*(4*a - 1)/4
Let -z**2 + 122*z - 1017 = 0. What is z?
9, 113
Solve -s**2/9 + 337*s/9 + 338/9 = 0.
-1, 338
Determine t, given that -5*t**4 - 45*t**3 + 70*t**2 + 180*t - 200 = 0.
-10, -2, 1, 2
Solve 4*z**3 + 68*z**2 + 236*z - 308 = 0 for z.
-11, -7, 1
Suppose d**3/6 - 11*d**2/3 + 7*d/2 = 0. Calculate d.
0, 1, 21
Find b, given that -2*b**5/5 - 48*b**4/5 - 316*b**3/5 - 184*b**2/5 + 1518*b/5 - 968/5 = 0.
-11, -4, 1
Let -5*v**2 + 29730*v - 44193645 = 0. Calculate v.
2973
Factor -4*h**4 + 13616*h**3 - 17380824*h**2 + 9860720816*h - 2097868353604.
-4*(h - 851)**4
Find z such that 5*z**5 + 70*z**4/3 + 115*z**3/3 + 80*z**2/3 + 20*z/3 = 0.
-2, -1, -2/3, 0
Suppose -6*k**5/5 + 56*k**4/5 - 156*k**3/5 + 64*k**2/5 + 42*k - 72/5 = 0. Calculate k.
-1, 1/3, 3, 4
Factor 2*o**2/11 + 3756*o/11 + 1763442/11.
2*(o + 939)**2/11
Factor -2*r**4/5 - 21*r**3 - 1296*r**2/5 + 2187*r/5.
-r*(r + 27)**2*(2*r - 3)/5
Let -4*w**5/9 + 20*w**4/9 + 4*w**3/3 - 52*w**2/9 - 40*w/9 = 0. Calculate w.
-1, 0, 2, 5
Factor g**3 + 5*g**2 + 6*g.
g*(g + 2)*(g + 3)
Determine m so that 4*m**4 - 84*m**3 + 496*m**2 - 1104*m + 832 = 0.
2, 4, 13
Find z such that 16*z**4 - 32*z**3 - 44*z**2 - 12*z = 0.
-1/2, 0, 3
Factor z**5 + 13*z**4 + 40*z**3 + 36*z**2.
z**2*(z + 2)**2*(z + 9)
Factor 2*d**3/5 + 1056*d**2/5 - 3194*d/5 - 4248/5.
2*(d - 4)*(d + 1)*(d + 531)/5
Find z such that 2*z**5/21 + 8*z**4/21 - 16*z**3/21 - 4*z**2/3 + 2*z/3 + 20/21 = 0.
-5, -1, 1, 2
Factor 8*f**2 + 1268*f + 632.
4*(f + 158)*(2*f + 1)
Determine g so that -4*g**4/3 + 25*g**3/3 + 394*g**2/3 + 572*g/3 - 56 = 0.
-6, -2, 1/4, 14
Let m**5 + m**4 - 6*m**3 - 14*m**2 - 11*m - 3 = 0. Calculate m.
-1, 3
Solve -c**5/2 + 3*c**4/2 + 9*c**3/2 - 27*c**2/2 = 0.
-3, 0, 3
Factor -2*y**4/7 - 6*y**3/7.
-2*y**3*(y + 3)/7
Factor -y**5/8 + 3*y**4/8 + 9*y**3/8 - 27*y**2/8.
-y**2*(y - 3)**2*(y + 3)/8
Solve 5*q**3 - 50*q**2 - 55*q = 0.
-1, 0, 11
Determine r, given that 4*r**2 - 1264*r + 99856 = 0.
158
Factor 4*t**3 + 28*t**2 - 132*t - 540.
4*(t - 5)*(t + 3)*(t + 9)
Factor 10*d**4 - 95*d**3 + 195*d**2 - 145*d + 35.
5*(d - 7)*(d - 1)**2*(2*d - 1)
Solve -2*g**3 + 288*g**2 + 294*g - 580 = 0 for g.
-2, 1, 145
Factor n**4 + 9*n**3 - 4*n**2 - 96*n.
n*(n - 3)*(n + 4)*(n + 8)
Factor -3*r**3/8 - 21*r**2/4 - 105*r/8 - 33/4.
-3*(r + 1)*(r + 2)*(r + 11)/8
Factor -5*d**2 + 335*d + 340.
-5*(d - 68)*(d + 1)
Let 2*i**5 + 62*i**4/7 + 30*i**3/7 - 110*i**2/7 - 44*i/7 + 48/7 = 0. What is i?
-3, -2, -1, 4/7, 1
Solve -g**3/3 + 494*g**2/3 + g/3 - 494/3 = 0.
-1, 1, 494
Let 4136*r**3/7 + 4140*r**2/7 + 1038*r/7 + 1/7 = 0. Calculate r.
-1/2, -1/1034
Solve -2*h**2/11 + 4*h - 22 = 0 for h.
11
Solve 7*z**3/4 - 17*z**2 + 127*z/4 + 21/2 = 0 for z.
-2/7, 3, 7
Suppose -2*l**4/9 - 16*l**3/3 - 86*l**2/9 + 16*l/3 + 88/9 = 0. Calculate l.
-22, -2, -1, 1
Let -2*x**2/5 - 544*x/5 - 542/5 = 0. Calculate x.
-271, -1
Factor 3*g**2 + 27*g + 24.
3*(g + 1)*(g + 8)
Let -2*h**4/9 + 2*h**2/3 - 4*h/9 = 0. What is h?
-2, 0, 1
Determine v so that 3*v**2/5 - 198*v/5 + 3267/5 = 0.
33
What is c in -2*c**3 + 860*c**2 - 91584*c - 186624 = 0?
-2, 216
Factor -l**2 + 83*l/3 + 28/3.
-(l - 28)*(3*l + 1)/3
Factor z**3/3 + 9*z**2 - 58*z/3.
z*(z - 2)*(z + 29)/3
Find t, given that -3*t**3 + 153*t**2 - 297*t + 147 = 0.
1, 49
Factor 2*r**3 + 86*r**2 + 164*r.
2*r*(r + 2)*(r + 41)
Factor x**3/4 - 51*x**2/4 + 126*x + 980.
(x - 28)**2*(x + 5)/4
Let 3*w**4 + 45*w**3 + 171*w**2 - 105*w - 882 = 0. What is w?
-7, -3, 2
Solve 2*i**3/11 + 228*i**2/11 + 226*i/11 = 0.
-113, -1, 0
Factor -12*q**3/5 + 49*q**2/5 - 52*q/5 + 4/5.
-(q - 2)**2*(12*q - 1)/5
Suppose 3*u**5 + 201*u**4 + 2577*u**3 - 26925*u**2 + 36408*u + 65712 = 0. What is u?
-37, -1, 4
Suppose 9*s**5 - 105*s**4 + 369*s**3 - 387*s**2 + 42*s + 72 = 0. Calculate s.
-1/3, 1, 4, 6
Factor 5*d**2 - 320*d + 5120.
5*(d - 32)**2
Suppose -j**5/5 - 441*j**4/5 - 694*j**3 - 2558*j**2/5 + 3459*j - 2165 = 0. Calculate j.
-433, -5, 1
Factor d**5 + 114*d**4 + 2880*d**3 - 21568*d**2 + 3840*d + 115200.
(d - 4)**2*(d + 2)*(d + 60)**2
Suppose 4*f**4/3 + 2762*f**3/9 - 2630*f**2/3 + 2482*f/3 - 2330/9 = 0. What is f?
-233, 5/6, 1
Suppose c**3/4 + c**2/2 + c/4 = 0. Calculate c.
-1, 0
What is h in 2*h**4/7 + 12*h**3/7 + 16*h**2/7 - 12*h/7 - 18/7 = 0?
-3, -1, 1
Suppose 3*u**2/2 - 27*u/2 - 54 = 0. What is u?
-3, 12
Solve 2*i**2/13 + 372*i/13 + 17298/13 = 0 for i.
-93
Factor 2*w**2 + 16*w + 32.
2*(w + 4)**2
Factor w**2 - 39*w - 82.
(w - 41)*(w + 2)
Factor -3*p**2 - 48*p.
-3*p*(p + 16)
Determine p so that -p**4 - 582*p**3 + 584*p**2 + 582*p - 583 = 0.
-583, -1, 1
Find c, given that -9*c**5 - 58*c**4 - 141*c**3 - 160*c**2 - 84*c - 16 = 0.
-2, -1, -4/9
Let -u**2/4 + 447*u/2 - 893/4 = 0. What is u?
1, 893
Factor 4*f**3/3 + 32*f**2/3 + 28*f/3.
4*f*(f + 1)*(f + 7)/3
Factor -3*a**2/2 - 207*a/2 - 810.
-3*(a + 9)*(a + 60)/2
Let 61*p**3/4 - 121*p**2/2 + 59*p + 2 = 0. What is p?
-2/61, 2
What is v in -4*v**5 - 148*v**4 - 416*v**3 - 272*v**2 = 0?
-34, -2, -1, 0
Solve 6*x**4/5 - 242*x**3/5 + 304*x**2/5 + 312*x/5 = 0 for x.
-2/3, 0, 2, 39
Solve i**2 + 4756*i + 5654884 = 0.
-2378
Suppose 2*r**3/11 + 166*r**