 -1, 0, 8
Let 15*r**4 + 415*r**3 + 3735*r**2 + 11385*r + 6050 = 0. Calculate r.
-11, -5, -2/3
What is t in 5*t**5 - 10*t**4 - 30*t**3 + 40*t**2 + 25*t - 30 = 0?
-2, -1, 1, 3
Factor 11*b**3/2 + 65*b**2 + 186*b - 36.
(b + 6)**2*(11*b - 2)/2
Factor -d**4 - 2*d**3 + 7*d**2 + 20*d + 12.
-(d - 3)*(d + 1)*(d + 2)**2
Find m, given that 2*m**5/3 + 8*m**4/3 - 6*m**3 - 32*m**2/3 + 40*m/3 = 0.
-5, -2, 0, 1, 2
Factor -20*h**2 + 5912*h + 2368.
-4*(h - 296)*(5*h + 2)
Factor i**2/4 - 615*i/2 + 378225/4.
(i - 615)**2/4
Suppose -z**4 - 16*z**3 - 46*z**2 + 144*z - 81 = 0. Calculate z.
-9, 1
What is k in k**5/8 + 5*k**4/4 + 29*k**3/8 + 5*k**2/2 = 0?
-5, -4, -1, 0
Factor -h**2/8 + 3*h/4 - 9/8.
-(h - 3)**2/8
Factor -2*i**2/17 - 6*i/17 + 20/17.
-2*(i - 2)*(i + 5)/17
Solve 44*v**3/9 + 125*v**2/9 + 77*v/9 + 2/3 = 0 for v.
-2, -3/4, -1/11
Suppose 3*l**4 - 36*l**2 - 48*l = 0. Calculate l.
-2, 0, 4
Find z, given that -5*z**3/3 + 85*z**2 + 530*z/3 = 0.
-2, 0, 53
Determine n, given that n**4/6 - 17*n**3/6 + 7*n**2 = 0.
0, 3, 14
Factor -5*w**2 - 270*w + 855.
-5*(w - 3)*(w + 57)
Solve -9*p**5 - 35*p**4 = 0 for p.
-35/9, 0
Suppose 2*l**2/7 - 286*l - 6024/7 = 0. What is l?
-3, 1004
What is q in -2*q**5 - 186*q**4 - 364*q**3 = 0?
-91, -2, 0
Suppose 2*k**3/7 - 24*k**2/7 = 0. What is k?
0, 12
What is f in 20*f**5 + 768*f**4 + 6724*f**3 - 12632*f**2 + 1920*f + 3200 = 0?
-20, -2/5, 1
Factor 2*c**2/17 + 1352*c/17 - 1354/17.
2*(c - 1)*(c + 677)/17
Factor 5*c**2 - 83930*c + 352212245.
5*(c - 8393)**2
Determine g so that 2*g**5 + 104*g**4/3 + 42*g**3 - 12*g**2 - 64*g/3 = 0.
-16, -1, 0, 2/3
Solve -v**5/2 - 3*v**4 - 13*v**3/2 - 6*v**2 - 2*v = 0 for v.
-2, -1, 0
Determine c so that 4*c**4/3 + 56*c**3/3 + 260*c**2/3 + 448*c/3 + 80 = 0.
-6, -5, -2, -1
Factor 4*d**2 - 88*d + 84.
4*(d - 21)*(d - 1)
Let 5*y**2 + 25*y + 30 = 0. What is y?
-3, -2
Find w, given that -2*w**2 - 82*w - 228 = 0.
-38, -3
Factor 6*c**4 + 8*c**3 - 18*c**2 - 20*c.
2*c*(c + 1)*(c + 2)*(3*c - 5)
Solve 2*t**2 - 1928*t - 1930 = 0.
-1, 965
Determine k, given that 2*k**5/7 + 8*k**4/7 + 10*k**3/7 + 4*k**2/7 = 0.
-2, -1, 0
Factor 3*i**3 + 36*i**2 + 33*i.
3*i*(i + 1)*(i + 11)
Suppose -2*j**5 - 16*j**4 - 36*j**3 + 54*j = 0. Calculate j.
-3, 0, 1
Factor s**3/4 + 2003*s**2/4 - 2005*s/2.
s*(s - 2)*(s + 2005)/4
Factor -2*w**4/7 + 180*w**3/7 - 4050*w**2/7.
-2*w**2*(w - 45)**2/7
Solve f**4 - 16*f**3 + 39*f**2 = 0.
0, 3, 13
Solve -3*c**5 + 33*c**3 - 18*c**2 - 84*c + 72 = 0.
-3, -2, 1, 2
Factor b**4/4 + 3*b**3/2 - 3*b**2/4 - 14*b - 12.
(b - 3)*(b + 1)*(b + 4)**2/4
Let 2*x**5/5 - 6*x**4/5 + 6*x**3/5 - 2*x**2/5 = 0. Calculate x.
0, 1
Find y, given that 2*y**5/3 + 8*y**4 + 20*y**3 + 56*y**2/3 + 6*y = 0.
-9, -1, 0
Find l, given that 2*l**3/5 - 24*l**2/5 + 72*l/5 - 64/5 = 0.
2, 8
Find h such that 4*h**4/7 - 228*h**3/7 - 2460*h**2/7 + 5588*h/7 - 2904/7 = 0.
-11, 1, 66
Let -2*n**5 - 716*n**4/5 - 14032*n**3/5 - 43232*n**2/5 - 26656*n/5 + 18496/5 = 0. Calculate n.
-34, -2, 2/5
Factor 14*l**4 - 2*l**3 - 12*l**2.
2*l**2*(l - 1)*(7*l + 6)
Solve -4*l**4 + 252*l**3 - 5444*l**2 + 43428*l - 67032 = 0 for l.
2, 19, 21
Factor -3*b**4/2 - 1737*b**3/2 + 2619*b**2.
-3*b**2*(b - 3)*(b + 582)/2
Factor n**2 + 685*n - 686.
(n - 1)*(n + 686)
Factor 50*o**4/3 - 10*o**3 - 56*o**2/3.
2*o**2*(5*o - 7)*(5*o + 4)/3
Factor 2*l**3 - 14*l**2 - 88*l.
2*l*(l - 11)*(l + 4)
Factor 2*r**3 - 46*r**2 + 182*r + 1014.
2*(r - 13)**2*(r + 3)
Determine u so that -18*u**3 - 2742*u**2 - 105782*u - 103058 = 0.
-227/3, -1
Find u such that -14*u**4/13 + 12*u**3/13 + 16*u**2/13 - 12*u/13 - 2/13 = 0.
-1, -1/7, 1
Determine y so that 267*y**5 + 587*y**4 + 361*y**3 + 29*y**2 - 12*y = 0.
-1, -1/3, 0, 12/89
Factor -2*n**3/3 + 26*n/3 - 8.
-2*(n - 3)*(n - 1)*(n + 4)/3
Determine j so that -33*j**2/2 - 67*j - 4 = 0.
-4, -2/33
Factor 5*c**2 - 1640*c + 134480.
5*(c - 164)**2
What is w in -2*w**4/15 - 32*w**3/15 - 16*w**2/5 + 128*w/3 - 160/3 = 0?
-10, 2
Factor -s**3/5 - 253*s**2/5 - 502*s/5.
-s*(s + 2)*(s + 251)/5
Factor 2*g**3/7 + 244*g**2/7 + 136*g + 944/7.
2*(g + 2)**2*(g + 118)/7
Determine t so that 220*t**5 - 864*t**4 - 64*t**3 + 3520*t**2 - 3264*t - 256 = 0.
-2, -4/55, 2
Factor 5*n**4 - 40*n**3 + 60*n**2.
5*n**2*(n - 6)*(n - 2)
Let -5*h**2 - 230*h - 2645 = 0. What is h?
-23
Let 4*h**4 - 196*h**3 + 2088*h**2 + 7696*h + 5408 = 0. What is h?
-2, -1, 26
Factor 2*c**4/3 + 4*c**3 - 10*c**2 - 200*c/3.
2*c*(c - 4)*(c + 5)**2/3
What is t in -27*t**5/2 + 291*t**4/2 - 264*t**3 - 1362*t**2 + 3600*t + 864 = 0?
-3, -2/9, 4, 6
Factor -2*y**5 + 52*y**4 - 50*y**3.
-2*y**3*(y - 25)*(y - 1)
Suppose r**2/5 + 209*r/5 - 258 = 0. Calculate r.
-215, 6
Factor -i**2/7 + 38*i/7 - 352/7.
-(i - 22)*(i - 16)/7
Factor -2*t**2/5 + 3776*t/5 - 1782272/5.
-2*(t - 944)**2/5
Factor 2*s**5/7 - 12*s**3/7 + 16*s**2/7 - 6*s/7.
2*s*(s - 1)**3*(s + 3)/7
Factor 21*o**3/4 + 15*o**2/8 - 27*o/8.
3*o*(o + 1)*(14*o - 9)/8
Determine r so that -4*r**4/5 - 2*r**3/5 + 28*r**2/5 + 38*r/5 + 12/5 = 0.
-2, -1, -1/2, 3
What is w in 2*w**2/9 + 68*w/3 + 578 = 0?
-51
Let -m**4 + 6*m**3 + 4*m**2 - 24*m = 0. Calculate m.
-2, 0, 2, 6
Suppose -2*q**2 + 32*q - 30 = 0. What is q?
1, 15
Suppose -15*p**4/4 + 5*p**3/4 + 45*p**2/4 + 15*p/4 - 5/2 = 0. Calculate p.
-1, 1/3, 2
Find i, given that 151725*i**4/4 - 6970*i**3 - 2926*i**2 - 152*i + 4 = 0.
-2/17, 2/105, 2/5
Determine x so that -x**3 - 11*x**2 + 444*x + 1404 = 0.
-26, -3, 18
Let -2*n**3/3 - 44*n**2/3 - 70*n - 96 = 0. Calculate n.
-16, -3
Factor -2*j**2/3 + 28*j - 294.
-2*(j - 21)**2/3
Find l, given that -3*l**4 + 138*l**3 - 1587*l**2 = 0.
0, 23
Determine h, given that -7*h**3/2 - 92*h**2 - 1235*h/2 - 169 = 0.
-13, -2/7
What is i in -i**3 - 41*i**2 - 151*i - 111 = 0?
-37, -3, -1
Factor b**5 - 11*b**4 + 19*b**3 + 115*b**2 - 200*b - 500.
(b - 5)**3*(b + 2)**2
Factor -4*q**4/3 + 196*q**3/3 - 1020*q**2 + 12716*q/3 + 39304/3.
-4*(q - 17)**3*(q + 2)/3
Factor 105*c**2 + 106*c - 16.
(7*c + 8)*(15*c - 2)
Solve -2*m**2 - 22*m = 0.
-11, 0
Determine o so that -10*o**4/7 + 366*o**3/7 + 528*o**2/7 + 152*o/7 = 0.
-1, -2/5, 0, 38
Factor -2*x**3/13 + 48*x**2/13 + 8*x/13 - 192/13.
-2*(x - 24)*(x - 2)*(x + 2)/13
Determine k so that 4026*k**2/23 - 1330*k/23 - 4/23 = 0.
-2/671, 1/3
Factor 3*l**2/2 - 12*l - 99/2.
3*(l - 11)*(l + 3)/2
Factor -3*u**3/5 - 486*u**2/5 - 19683*u/5.
-3*u*(u + 81)**2/5
Determine m, given that -10*m**5 - 105*m**4 - 170*m**3 + 340*m**2 + 840*m + 320 = 0.
-8, -2, -1/2, 2
Determine n, given that n**3 + 19*n**2 - n - 19 = 0.
-19, -1, 1
Find p, given that 5*p**4 - 660*p**3 - 685*p**2 + 2640*p + 2660 = 0.
-2, -1, 2, 133
Factor -2*c**3/3 + 8*c/3.
-2*c*(c - 2)*(c + 2)/3
Factor 2*c**4/7 + 8*c**3/7 + 8*c**2/7.
2*c**2*(c + 2)**2/7
Factor -5*v**3 + 190*v**2 + 820*v + 840.
-5*(v - 42)*(v + 2)**2
Factor -u**4/2 - 14*u**3/3 - 17*u**2/2 - 7*u/3.
-u*(u + 2)*(u + 7)*(3*u + 1)/6
Let 6*r**2 + 40*r + 24 = 0. Calculate r.
-6, -2/3
Solve u**4/4 - 59*u**3/4 + 258*u**2 - 1079*u - 1352 = 0 for u.
-1, 8, 26
Determine x so that -2*x**2/13 + 92*x/13 + 94/13 = 0.
-1, 47
Suppose 3*y**5 + 21*y**4/2 + 3*y**3/2 - 21*y**2/2 - 9*y/2 = 0. What is y?
-3, -1, -1/2, 0, 1
Determine l so that 3*l**2/4 - 321*l + 34347 = 0.
214
Suppose -33*s**2/2 - 2505*s + 456 = 0. Calculate s.
-152, 2/11
Solve -2*r**3 + 106*r**2 + 8*r - 424 = 0 for r.
-2, 2, 53
Factor 2*o**2/5 - 2*o/5.
2*o*(o - 1)/5
Factor r**5/6 + r**4/3.
r**4*(r + 2)/6
Find o, given that -5*o**5 + 25*o**4 + 85*o**3 - 605*o**2 + 1000*o - 500 = 0.
-5, 1, 2, 5
Suppose -3*w**4/2 + 107*w**3/2 + 149*w**2/2 - 35*w/2 - 37 = 0. Calculate w.
-1, 2/3, 37
Factor -2*k**3/7 - 4*k**2/7 + 110*k/7 + 400/7.
-2*(k - 8)*(k + 5)**2/7
Factor -4*j**2 - 17680*j - 19536400.
-4*(j + 2210)**2
Factor 2*k**3 - 366*k**2 + 1060*k + 3600.
2*(k - 180)*(k - 5)*(k + 2)
Let h**5/3 - 4*h**4 - 70*h**3/3 + 20*h**2 + 183*h + 144 = 0. Calculate h.
-3, -1, 3, 16
Factor -r**2/4 - 1151*r/4 + 288.
-(r - 1)*(r + 1152)/4
Let -l**2/3 - 35*l/3 = 0. Calculate l.
-35, 0
Factor 2*t**3/13 - 16*t**2/13 + 18*t/13 + 36/13.
2*(t - 6)*(t - 3)*(t + 1)/13
Factor k**4/5 + 16*k**3/5 - 146*k**2/5 + 336*k/5 - 207/5.
(k - 3)**2*(k - 1)*(k + 23)/5
Suppose 5*b**4 + 88*b**3 - 41*b**2 - 88*b + 36 = 0. What is b?
-18, -1, 2/5, 1
Determine c, given that 2*c**5/5 + c**4/10 - 4*c**3/5 - c**2/5 + 2*c/5 + 1/10 = 0.
-1, -1/4, 1
Suppose 5*f**2 + 5*f - 100 = 0. What is 