, 1/3
Suppose -136*r**3/7 - 6274*r**2/7 - 824*r/7 + 184/7 = 0. Calculate r.
-46, -1/4, 2/17
Factor 4*d**5 + 76*d**4 + 96*d**3 - 2880*d**2.
4*d**2*(d - 5)*(d + 12)**2
Factor -v**3 - 28*v**2 + 29*v.
-v*(v - 1)*(v + 29)
Factor 5*s**4/4 + 15*s**3/2 - 45*s**2 + 50*s.
5*s*(s - 2)**2*(s + 10)/4
Factor m**2/10 + 367*m/10 + 73.
(m + 2)*(m + 365)/10
Let -5*s**2 - 175*s - 620 = 0. What is s?
-31, -4
Factor -3*n**3/7 + 39*n**2/7 + 456*n/7 + 144.
-3*(n - 21)*(n + 4)**2/7
What is a in -2*a**5/5 - 98*a**4/5 + 1542*a**3/5 - 4438*a**2/5 - 6076*a/5 = 0?
-62, -1, 0, 7
Find s such that -64*s**4 + 2656*s**3 - 26884*s**2 - 13944*s - 1764 = 0.
-1/4, 21
Solve -3*p**2/4 + 3*p/4 = 0.
0, 1
Factor 2*h**4/5 + 28*h**3 + 536*h**2/5 + 528*h/5.
2*h*(h + 2)**2*(h + 66)/5
Factor -g**2/2 - 239*g/2.
-g*(g + 239)/2
What is f in 15*f**4/8 - 159*f**3/2 + 3939*f**2/4 - 5529*f/2 - 16245/8 = 0?
-3/5, 5, 19
Factor -3*t**4 + 47907*t**3 - 255008961*t**2 + 452470899801*t.
-3*t*(t - 5323)**3
Factor 2*l**3 - 8*l**2 - 6*l + 36.
2*(l - 3)**2*(l + 2)
Solve -2*a**3/7 + 10*a**2/7 + 4*a = 0 for a.
-2, 0, 7
Find p, given that 5*p**5 - 260*p**4 + 3105*p**3 + 7290*p**2 = 0.
-2, 0, 27
Factor 4*w**4 + 132*w**3 + 1444*w**2 + 5772*w + 6760.
4*(w + 2)*(w + 5)*(w + 13)**2
Find f such that -4*f**2/7 - 40*f + 284/7 = 0.
-71, 1
Solve 12*v**3 + 32*v**2 - 164*v - 120 = 0 for v.
-5, -2/3, 3
Find v, given that -4*v**4 + 300*v**3/7 + 417*v**2/7 + 178*v/7 + 24/7 = 0.
-1/2, -2/7, 12
Determine o, given that -36*o**3 + 20348*o**2 + 15856*o - 4528 = 0.
-1, 2/9, 566
What is q in 2*q**4 + 28*q**3 - 32*q**2 - 28*q + 30 = 0?
-15, -1, 1
Solve -2*k**4 - 12*k**3 - 14*k**2 + 12*k + 16 = 0.
-4, -2, -1, 1
Determine i so that -i**5/4 - 51*i**4/4 - 433*i**3/2 - 2431*i**2/2 + 867*i/4 + 4913/4 = 0.
-17, -1, 1
Let 5*w**4 - 30*w**3 + 5*w**2 + 120*w + 80 = 0. What is w?
-1, 4
Factor -l**3/7 - 57*l**2/7 + 58*l/7.
-l*(l - 1)*(l + 58)/7
Suppose b**3 + 1857*b**2 + 859320*b - 2594700 = 0. Calculate b.
-930, 3
Solve 9*a**5 + 12*a**4 - 84*a**3 - 114*a**2 + 27*a + 54 = 0 for a.
-3, -1, 2/3, 3
Find l such that -l**4/2 + 19*l**3/2 - 95*l**2/2 + 137*l/2 - 30 = 0.
1, 5, 12
Factor n**2/6 - 19*n/3.
n*(n - 38)/6
Factor -3*h**2/5 + 18912*h/5 - 29805312/5.
-3*(h - 3152)**2/5
Determine c so that -2*c**3/9 + 16*c**2/3 - 110*c/3 + 484/9 = 0.
2, 11
Factor 50*t**2/7 + 36*t/7 - 2.
2*(t + 1)*(25*t - 7)/7
Solve -p**2/4 - 7*p/2 = 0 for p.
-14, 0
Factor -2*d**2/17 + 22*d/17 - 56/17.
-2*(d - 7)*(d - 4)/17
Factor -3*s**5 + 12*s**4 + 18*s**3 - 48*s**2 - 87*s - 36.
-3*(s - 4)*(s - 3)*(s + 1)**3
Find w such that 2*w**4/11 + 4*w**3/11 - 14*w**2/11 - 16*w/11 + 24/11 = 0.
-3, -2, 1, 2
Solve -2*m**3/5 - 196*m**2/5 - 182*m/5 + 1164/5 = 0 for m.
-97, -3, 2
What is v in -2*v**5/13 + 2*v**4/13 + 6*v**3/13 - 2*v**2/13 - 4*v/13 = 0?
-1, 0, 1, 2
What is j in -j**4/7 - 323*j**3/7 - 25920*j**2/7 + 26244*j/7 = 0?
-162, 0, 1
Let 4*y**4 - 88*y**3 + 240*y**2 - 232*y + 76 = 0. Calculate y.
1, 19
Factor -4*k**3 - 66*k**2 - 32*k.
-2*k*(k + 16)*(2*k + 1)
Factor 2*p**4 + 24*p**3 + 90*p**2 + 100*p.
2*p*(p + 2)*(p + 5)**2
Find c, given that 8*c**2 - 68*c + 32 = 0.
1/2, 8
Solve -4*b**3/19 + 70*b**2/19 + 288*b/19 + 126/19 = 0 for b.
-3, -1/2, 21
Solve -4*w**5/3 + 4*w**3/3 = 0 for w.
-1, 0, 1
Factor 3*q**2 - 81*q - 2244.
3*(q - 44)*(q + 17)
Let b**2/8 + 7*b/8 - 147/2 = 0. What is b?
-28, 21
Factor 2*c**2/5 - 656*c/5 + 654/5.
2*(c - 327)*(c - 1)/5
Solve 2*v**3/9 - 4*v**2/9 - 8*v/9 + 16/9 = 0.
-2, 2
What is w in 5*w**3/2 - 115*w**2/2 + 415*w - 900 = 0?
4, 9, 10
Solve 1372*l**5 - 539*l**4 - 44303*l**3 - 123056*l**2 - 81152*l + 28672 = 0.
-16/7, 1/4, 7
What is n in n**3/6 - n**2 - 3*n/2 + 7/3 = 0?
-2, 1, 7
Factor -2*c**2/15 + 1598*c/15.
-2*c*(c - 799)/15
Factor u**4/8 - u**3/8.
u**3*(u - 1)/8
Let -2*z**3 - 184*z**2 - 2090*z + 108900 = 0. Calculate z.
-55, 18
Determine v so that v**3/4 - 9*v**2/4 + 5*v - 3 = 0.
1, 2, 6
Factor w**2 + 38*w + 37.
(w + 1)*(w + 37)
Solve r**5/4 - 13*r**4/2 + 83*r**3/2 + 20*r**2 - 559*r/4 + 169/2 = 0 for r.
-2, 1, 13
Let 4*w**2 - 1464*w + 1460 = 0. Calculate w.
1, 365
What is t in 2*t**5/7 - 4*t**4/7 - 6*t**3/7 = 0?
-1, 0, 3
Solve 11*y**5 + 101*y**4 - 103*y**3 - 121*y**2 + 92*y + 20 = 0.
-10, -1, -2/11, 1
Factor -t**5 - 7*t**4 - 17*t**3 - 17*t**2 - 6*t.
-t*(t + 1)**2*(t + 2)*(t + 3)
Determine z, given that 4*z**3 + 32*z**2 + 68*z + 40 = 0.
-5, -2, -1
Solve 2*t**4/19 - 2*t**3/19 - 6*t**2/19 + 10*t/19 - 4/19 = 0 for t.
-2, 1
Find t, given that -4*t**4/13 - 2*t**3/13 + 16*t**2/13 + 8*t/13 = 0.
-2, -1/2, 0, 2
Factor t**2/5 + 21*t/5 - 108.
(t - 15)*(t + 36)/5
What is q in -2*q**4/3 - 1280*q**3/3 - 5098*q**2/3 - 6364*q/3 - 848 = 0?
-636, -2, -1
Find o, given that -o**4/6 + o**3 - 5*o**2/6 - 2*o = 0.
-1, 0, 3, 4
Solve -4*m**5/9 + 16*m**4/9 + 8*m**3/9 - 32*m**2/9 - 4*m/9 + 16/9 = 0 for m.
-1, 1, 4
Factor -3*i**5 - 3*i**4 + 6*i**3 + 6*i**2 - 3*i - 3.
-3*(i - 1)**2*(i + 1)**3
Let 32*p**5 + 1008*p**4 - 4654*p**3 - 256434*p**2 - 127282*p - 15870 = 0. Calculate p.
-23, -1/4, 15
Suppose 45*c**5 + 260*c**4 + 300*c**3 - 80*c**2 = 0. Calculate c.
-4, -2, 0, 2/9
Factor -3*z**2 + 69*z + 522.
-3*(z - 29)*(z + 6)
Factor -5*f**2 + 25*f + 30.
-5*(f - 6)*(f + 1)
What is a in -3*a**5 - 129*a**4 - 366*a**3 - 240*a**2 = 0?
-40, -2, -1, 0
Factor -4*z**2 + 1480*z - 2944.
-4*(z - 368)*(z - 2)
Factor -7*t**4/3 - 61*t**3/3 - 36*t**2 + 12*t.
-t*(t + 3)*(t + 6)*(7*t - 2)/3
Factor h**2/2 + 15*h - 32.
(h - 2)*(h + 32)/2
Determine a so that 4*a**3/7 + 1324*a**2/7 - 4*a/7 - 1324/7 = 0.
-331, -1, 1
Suppose 3*v**3 - 15*v**2 - 252*v = 0. Calculate v.
-7, 0, 12
What is q in -q**2/5 - 31*q/5 + 32/5 = 0?
-32, 1
Solve -3*m**2 - 30*m - 48 = 0 for m.
-8, -2
Factor 5*c**4 + 635*c**3 - 4660*c**2 + 4020*c.
5*c*(c - 6)*(c - 1)*(c + 134)
Solve -5*g**2 - 9000*g - 4050000 = 0.
-900
Let -2*o**2/3 - 14*o + 108 = 0. What is o?
-27, 6
Factor -3*n**3 - 58*n**2 - 229*n - 70.
-(n + 5)*(n + 14)*(3*n + 1)
Factor -5*m**4 - 50*m**3 - 120*m**2 - 110*m - 35.
-5*(m + 1)**3*(m + 7)
Determine s so that -4*s**3 + 56*s**2 - 252*s + 360 = 0.
3, 5, 6
Factor 3*z**5 + 3507*z**4 + 1365390*z**3 + 176588100*z**2 - 177957000*z.
3*z*(z - 1)*(z + 390)**3
Factor h**4 - 4*h**3 + 5*h**2 - 2*h.
h*(h - 2)*(h - 1)**2
Factor -3*q**4 + 15*q**3 - 18*q**2.
-3*q**2*(q - 3)*(q - 2)
Let -20*m**3 + 35*m**2 + 100*m - 180 = 0. Calculate m.
-9/4, 2
Factor -c**4/3 - 41*c**3/3 - 132*c**2 - 1456*c/3 - 1856/3.
-(c + 4)**3*(c + 29)/3
Solve 13*k**3/2 + 21*k**2 + 35*k/2 + 3 = 0 for k.
-2, -1, -3/13
Determine u so that -14*u**4/3 - 4*u**3/3 + 56*u**2/3 + 16*u/3 = 0.
-2, -2/7, 0, 2
Determine x so that 175*x**4 + 295*x**3 - 210*x**2 - 220*x - 40 = 0.
-2, -2/5, -2/7, 1
Find g such that 4*g**2 - 7464*g + 3481956 = 0.
933
Find u, given that 3*u**5/5 - 42*u**4/5 - 6*u**3/5 + 84*u**2/5 + 3*u/5 - 42/5 = 0.
-1, 1, 14
Solve 2*j**3/5 - 28*j**2/5 + 114*j/5 - 144/5 = 0.
3, 8
Let -t**3 + 19*t**2 - 48*t = 0. What is t?
0, 3, 16
Let 2*m**3/11 + 6*m**2/11 - 6*m - 70/11 = 0. Calculate m.
-7, -1, 5
Determine l so that 2*l**3 - 350*l**2 + 15824*l - 44376 = 0.
3, 86
Determine o so that -3*o**4/2 - 42*o**3 - 495*o**2/2 + 675*o = 0.
-15, 0, 2
Solve 4*d**5 + 28*d**4 - 240*d**3 + 80*d**2 + 896*d - 768 = 0.
-12, -2, 1, 2, 4
Factor -2*r**2/13 + 90*r/13 + 92/13.
-2*(r - 46)*(r + 1)/13
Factor 5*u**2 + 19710*u + 19424205.
5*(u + 1971)**2
Suppose 2*z**2/7 + 136*z/7 = 0. What is z?
-68, 0
Solve -3*x**2 - 27282*x - 62025627 = 0 for x.
-4547
Determine j so that -112*j**5 - 620*j**4 - 196*j**3 + 580*j**2 + 308*j + 40 = 0.
-5, -1, -2/7, -1/4, 1
Find h, given that -405*h**3 - 774*h**2 + 84*h + 24 = 0.
-2, -2/15, 2/9
Factor f**2 + 79*f + 78.
(f + 1)*(f + 78)
Find o, given that o**2/3 - 86*o/3 + 1624/3 = 0.
28, 58
Find b such that b**2 - 28*b + 171 = 0.
9, 19
Determine f so that 7*f**4/8 - 373*f**3/8 + 2143*f**2/8 - 3543*f/8 + 423/4 = 0.
2/7, 3, 47
Suppose -196*a**4/5 - 504*a**3/5 + 348*a**2/5 + 304*a/5 + 48/5 = 0. What is a?
-3, -2/7, 1
Factor 25*b**4 + 135*b**3 - 100*b**2 - 60*b.
5*b*(b - 1)*(b + 6)*(5*b + 2)
Let 2*m**4/9 - 10*m**3/9 - 2*m**2 + 10*m = 0. What is m?
-3, 0, 3, 5
What is c in -3*c**2 + 75*c + 672 = 0?
-7, 32
Factor -5*r**4 + 20*r**3 + 345*r**2 + 520*r - 880.
-5*(r - 11)*(r - 1)*(r + 4)**2
Suppose 2*a**4/3 - 4*a**3/3 - 8*a**2 + 16*a/3 + 64/3 = 0. What is a?
-2, 2, 4
Suppose 3*w**5 - 48*w**4 + 1