*n**2/4 + 348*n - 279/4 = 0. What is n?
-93, 1/5
Factor u**4/5 + u**3/5 - 2*u**2 - 4*u/5 + 24/5.
(u - 2)**2*(u + 2)*(u + 3)/5
Factor 2*p**2 - 14*p - 60.
2*(p - 10)*(p + 3)
Let 152*d**5 + 292*d**4 + 128*d**3 - 12*d**2 = 0. What is d?
-1, 0, 3/38
Suppose 676*k**2/5 - 17888*k/5 + 118336/5 = 0. Calculate k.
172/13
Factor -2*c**2 + 674*c + 4816.
-2*(c - 344)*(c + 7)
Factor 5*o**3 - 15*o**2 + 10*o.
5*o*(o - 2)*(o - 1)
Factor k**5 + 34*k**4 + 252*k**3 - 648*k**2.
k**2*(k - 2)*(k + 18)**2
Factor 357911*g**3/4 - 15123*g**2/2 + 213*g - 2.
(71*g - 2)**3/4
Factor -k**2/3 - 5*k/3 + 8.
-(k - 3)*(k + 8)/3
Factor 10*u**4/3 + 112*u**3/3 + 1978*u**2/15 + 2116*u/15.
2*u*(u + 2)*(5*u + 23)**2/15
Factor 5*t**3 - 165*t**2 - 170*t.
5*t*(t - 34)*(t + 1)
What is m in 3*m**4 - 96*m**3 - 447*m**2 + 540*m = 0?
-5, 0, 1, 36
Find a such that 2*a**4/5 - 4*a**3/5 - 14*a**2/5 - 8*a/5 = 0.
-1, 0, 4
Factor 2*q**2/5 - 236*q/5.
2*q*(q - 118)/5
Let 11*m**5/10 + 34*m**4/5 + 133*m**3/10 + 44*m**2/5 + 6*m/5 = 0. What is m?
-3, -2, -1, -2/11, 0
Factor 2*m**3 + 160*m**2 - 334*m - 492.
2*(m - 3)*(m + 1)*(m + 82)
Factor -4*a**3 + 4*a**2 + 960*a.
-4*a*(a - 16)*(a + 15)
Find k such that 102*k**5/7 - 250*k**4/7 - 788*k**3/7 + 72*k**2 + 496*k/7 - 64/7 = 0.
-2, -2/3, 2/17, 1, 4
Factor 3*f**3/2 + 26*f**2 - 313*f/2 - 55.
(f - 5)*(f + 22)*(3*f + 1)/2
Suppose k**4/2 - 21*k**3/2 - 141*k**2 - 422*k - 372 = 0. What is k?
-6, -2, 31
Factor 6*p**4/5 - 6*p**3/5 - 12*p**2 - 48*p/5.
6*p*(p - 4)*(p + 1)*(p + 2)/5
Suppose -15*m**4/2 - 25*m**3/3 + 175*m**2/6 + 100*m/3 + 10/3 = 0. What is m?
-2, -1, -1/9, 2
Factor 2*d**2/3 + 4658*d/3 - 4660/3.
2*(d - 1)*(d + 2330)/3
Find m such that 6*m**3 + 17*m**2 - 10*m = 0.
-10/3, 0, 1/2
Factor 3*j**2/7 + 72*j/7 - 156/7.
3*(j - 2)*(j + 26)/7
Factor f**4/3 - f**3/3 - 4*f**2 + 28*f/3 - 16/3.
(f - 2)**2*(f - 1)*(f + 4)/3
Find p, given that 2*p**2/5 + 434*p/5 = 0.
-217, 0
Factor -4*h**3 + 12*h**2 - 8*h.
-4*h*(h - 2)*(h - 1)
Factor h**4/2 - 82*h**3 - 168*h**2 + 328*h + 664.
(h - 166)*(h - 2)*(h + 2)**2/2
Let -4*c**4 - 192*c**3 + 1708*c**2 - 4632*c + 4032 = 0. What is c?
-56, 2, 3
Factor -9*z**2/2 + 5187*z/2 + 1731.
-3*(z - 577)*(3*z + 2)/2
Solve 2*r**2 + 20*r + 32 = 0.
-8, -2
Determine d so that -2*d**3 + 5646*d**2 = 0.
0, 2823
Solve 2*f**4/17 - 20*f**3/17 + 24*f**2/17 + 144*f/17 = 0 for f.
-2, 0, 6
Find m such that -20*m**4 + 68*m**3 + 96*m**2 - 208*m + 64 = 0.
-2, 2/5, 1, 4
Find q, given that 4*q**3 + 48*q**2 - 240*q + 256 = 0.
-16, 2
Suppose -j**3/7 + 12*j**2/7 - 27*j/7 - 40/7 = 0. What is j?
-1, 5, 8
Determine b, given that -4*b**3/3 + 3068*b**2 - 2353156*b + 1804870652/3 = 0.
767
Suppose 4*m**2 - 8*m - 2112 = 0. What is m?
-22, 24
Factor w**4 + 6*w**3 + 9*w**2 - 4*w - 12.
(w - 1)*(w + 2)**2*(w + 3)
Solve 8*q**3 - 10*q**2 - 34*q + 36 = 0.
-2, 1, 9/4
Factor -l**4/3 - 92*l**3/3 - 181*l**2/3 - 30*l.
-l*(l + 1)**2*(l + 90)/3
Suppose 5*j**5 - 7*j**4 - 13*j**3 + 11*j**2 + 8*j - 4 = 0. What is j?
-1, 2/5, 1, 2
Find v such that -2*v**4 - 434*v**3 + 440*v**2 + 872*v = 0.
-218, -1, 0, 2
Let -2*p**4 + 14*p**3 + 6*p**2 - 126*p + 108 = 0. What is p?
-3, 1, 3, 6
Find f, given that -f**3 + 4*f**2 - 5*f + 2 = 0.
1, 2
Let -2*o**2/5 + 312*o/5 - 12168/5 = 0. Calculate o.
78
Solve -j**5/3 + 17*j**4/3 - 19*j**3 + 67*j**2/3 - 26*j/3 = 0 for j.
0, 1, 2, 13
Factor 2*o**2 + 212*o - 214.
2*(o - 1)*(o + 107)
Factor 2*v**2/11 - 1580*v/11 + 3152/11.
2*(v - 788)*(v - 2)/11
Determine o so that -2*o**4/9 + 34*o**3/9 + 2*o**2/9 - 34*o/9 = 0.
-1, 0, 1, 17
Factor -2*d**3/3 + 8*d**2 + 26*d/3.
-2*d*(d - 13)*(d + 1)/3
Factor -2*j**2/21 + 250*j/21 + 12.
-2*(j - 126)*(j + 1)/21
Factor 3*x**2 + 252*x + 1404.
3*(x + 6)*(x + 78)
Suppose -5*i**2/4 - 25*i/4 - 5 = 0. Calculate i.
-4, -1
Factor u**3/2 + 7*u**2/2 - u/2 - 7/2.
(u - 1)*(u + 1)*(u + 7)/2
Suppose -300*t**3 - 1209*t**2 - 1236*t - 36 = 0. What is t?
-2, -3/100
Suppose 2*o**3/17 - 64*o**2/17 - 8*o = 0. Calculate o.
-2, 0, 34
Factor 2*l**3/9 - 10*l**2/9 + 16*l/9 - 8/9.
2*(l - 2)**2*(l - 1)/9
What is d in 5*d**3 + 370*d**2 + 355*d - 730 = 0?
-73, -2, 1
Find b such that -105*b**5 - 355*b**4 - 265*b**3 + 235*b**2 + 370*b + 120 = 0.
-12/7, -1, -2/3, 1
Factor -v**4/7 - 38*v**3/7 + v**2/7 + 38*v/7.
-v*(v - 1)*(v + 1)*(v + 38)/7
Suppose -4*l**3/5 + 104*l**2/5 - 836*l/5 + 1936/5 = 0. Calculate l.
4, 11
Factor 2*n**4/7 + 64*n**3/7 + 192*n**2/7 - 5120*n/7 + 12800/7.
2*(n - 4)**2*(n + 20)**2/7
Let g**3 - 19*g**2 - 64*g - 44 = 0. Calculate g.
-2, -1, 22
Find f such that -9*f**3/8 + 453*f**2/8 - 1827*f/4 - 330 = 0.
-2/3, 11, 40
Solve 3*y**2 - 3201*y + 6390 = 0.
2, 1065
Factor 5*x**2/6 - 35*x/3 - 80/3.
5*(x - 16)*(x + 2)/6
Determine u so that 4*u**3/5 - 212*u**2/5 + 412*u/5 - 204/5 = 0.
1, 51
Solve 1676*t**5/7 + 7115*t**4/7 + 10022*t**3/7 + 5399*t**2/7 + 116*t - 4/7 = 0 for t.
-2, -1, -1/4, 2/419
Determine a so that 2*a**2/3 - 4*a - 48 = 0.
-6, 12
Factor 3*m**3 - 939*m**2 - 1887*m - 945.
3*(m - 315)*(m + 1)**2
Factor 2*k**2/7 + 130*k/7 + 144.
2*(k + 9)*(k + 56)/7
Let -4*u**5 - 2*u**4 + 10*u**3 - 4*u**2 = 0. What is u?
-2, 0, 1/2, 1
Suppose 2*s**3/7 - 6*s**2 + 256*s/7 - 480/7 = 0. Calculate s.
4, 5, 12
Find f, given that -f**5/3 + 7*f**4/3 - 14*f**3/3 + 8*f**2/3 = 0.
0, 1, 2, 4
Factor 2*s**3/11 + 14*s**2/11 - 28*s/11 - 96/11.
2*(s - 3)*(s + 2)*(s + 8)/11
Factor k**4/4 - 5*k**3/2 - 14*k**2.
k**2*(k - 14)*(k + 4)/4
Find s, given that 2*s**2/3 + 80*s + 2400 = 0.
-60
Let 2*m**3/5 + 14*m**2/5 - 738*m/5 + 810 = 0. What is m?
-25, 9
Factor -4*c**2/3 + 3824*c/3 - 2544.
-4*(c - 954)*(c - 2)/3
Factor d**3 - 1043*d**2 - 4184*d - 4188.
(d - 1047)*(d + 2)**2
Solve 2*l**5 - 644*l**3 + 3560*l**2 + 9042*l + 4840 = 0 for l.
-20, -1, 11
Let s**2 + 83*s + 1702 = 0. Calculate s.
-46, -37
Solve 3*p**4/2 - p**3/2 - 27*p**2/2 + p/2 + 12 = 0 for p.
-8/3, -1, 1, 3
Factor -5*p**3/3 + 115*p**2/3 - 110*p/3.
-5*p*(p - 22)*(p - 1)/3
Suppose 2*h**5 + 6*h**4 - 90*h**3 - 54*h**2 + 1296*h - 1944 = 0. What is h?
-6, 3
What is b in -b**5/4 + 73*b**4/4 - 342*b**3 + 324*b**2 = 0?
0, 1, 36
Solve 2*l**2 - 14*l - 196 = 0.
-7, 14
Factor c**2/6 + 380*c/3 + 72200/3.
(c + 380)**2/6
Factor d**3/4 - 47*d**2/2 + 735*d - 7650.
(d - 34)*(d - 30)**2/4
Factor -3*x**3 - 6*x**2 + 9*x.
-3*x*(x - 1)*(x + 3)
What is m in 2*m**5/9 + 10*m**4 + 416*m**3/9 + 72*m**2 + 320*m/9 = 0?
-40, -2, -1, 0
Let h**5 - 11*h**4 + 30*h**3 + 22*h**2 - 95*h - 75 = 0. What is h?
-1, 3, 5
Find v, given that 2*v**5/11 + 34*v**4/11 + 26*v**3/11 - 106*v**2/11 - 164*v/11 - 64/11 = 0.
-16, -1, 2
Factor -2*o**2/9 - 40*o/9.
-2*o*(o + 20)/9
Let 2*x**3/7 - 40*x**2/7 + 74*x/7 - 36/7 = 0. Calculate x.
1, 18
Suppose 2*b**5 + 10*b**4 - 4*b**3 - 84*b**2 - 126*b - 54 = 0. What is b?
-3, -1, 3
Solve -4*z**2 - 3936*z - 968256 = 0 for z.
-492
Solve 2*y**3 - 14*y**2 + 20*y = 0.
0, 2, 5
Solve 5*q**2 - 45*q - 180 = 0.
-3, 12
Factor -k**2 - 203*k - 402.
-(k + 2)*(k + 201)
Factor 2*z**5/3 - 2*z**4/3 - 64*z**3 + 264*z**2.
2*z**2*(z - 6)**2*(z + 11)/3
Find p, given that p**2/5 + 288*p/5 + 20736/5 = 0.
-144
Find v, given that -2*v**5 + 742*v**4 - 91512*v**3 + 3720992*v**2 + 3813248*v = 0.
-1, 0, 124
Factor -3*k**3/4 - 105*k**2/4 - 216*k + 243.
-3*(k - 1)*(k + 18)**2/4
Factor -h**2/2 + h.
-h*(h - 2)/2
Find t, given that -4*t**3 - 176*t**2 - 2100*t - 3528 = 0.
-21, -2
Let 3*g**4 - 6*g**3 - 9*g**2 + 24*g - 12 = 0. Calculate g.
-2, 1, 2
What is j in 3*j**5/2 - 15*j**4/2 + 6*j**3 = 0?
0, 1, 4
Find a such that -3*a**2 + 1509*a/5 + 606/5 = 0.
-2/5, 101
Factor 2*t**3 + 1346*t**2 - 2698*t + 1350.
2*(t - 1)**2*(t + 675)
Factor -5*h**4 + 50*h**3 + 265*h**2 + 210*h.
-5*h*(h - 14)*(h + 1)*(h + 3)
Factor 6*d**4/7 + 2568*d**3/7 + 357408*d**2/7 + 14835936*d/7 - 186728160/7.
6*(d - 10)*(d + 146)**3/7
Factor -14*d**4 - 10*d**3 + 88*d**2 - 24*d.
-2*d*(d - 2)*(d + 3)*(7*d - 2)
Factor 2*u**2/11 + 42*u - 484.
2*(u - 11)*(u + 242)/11
Solve -16*b**4/5 - 572*b**3/5 - 944*b**2/5 + 272*b/5 = 0 for b.
-34, -2, 0, 1/4
Factor r**3/7 + 122*r**2/7 + 589*r/7 + 468/7.
(r + 1)*(r + 4)*(r + 117)/7
Let -3*a**2/2 + 66*a - 726 = 0. What is a?
22
Find b such that -5*b**2 - 2950*b + 2955 = 0.
-591, 1
Determine a, given that 5*a**4 - 55*a**3 + 40*a**2 + 100*a = 0.
-1, 0, 2, 10
Factor -2*w**5/5 + 236*w**4/5 - 9986*w**3/5 + 176472*w**2/5 - 225504*w + 466560.
-2*(w - 36)**3*(w - 5)**2/5
Determine k so that 2*k**5 + 4*