
Solve -2*r**5 + 2*r**4 + 4*r**3 - 4*r**2 - 2*r + 2 = 0 for r.
-1, 1
Let -3*p**3 - 2604*p**2 - 570240*p - 2239488 = 0. What is p?
-432, -4
Suppose -m**5/3 - 2*m**4/3 + 19*m**3/3 - 28*m**2/3 + 4*m = 0. Calculate m.
-6, 0, 1, 2
Factor 4*b**2 + 2648*b + 438244.
4*(b + 331)**2
Factor 2*w**2/5.
2*w**2/5
Solve -2*u**3/7 + 398*u**2/7 - 19190*u/7 - 61206/7 = 0.
-3, 101
Solve 2*u**3/7 + 1532*u**2/7 + 293378*u/7 = 0.
-383, 0
Suppose -y**5/5 + 23*y**4/5 - 101*y**3/5 - 23*y**2/5 + 102*y/5 = 0. Calculate y.
-1, 0, 1, 6, 17
Let 2*n**5/5 - 29*n**4/5 - 17*n**3/5 + 29*n**2/5 + 3*n = 0. Calculate n.
-1, -1/2, 0, 1, 15
Find y such that -3*y**2 - 2298*y - 440067 = 0.
-383
Factor o**4/4 + 29*o**3/2 + 285*o**2 + 3971*o/2 + 6859/4.
(o + 1)*(o + 19)**3/4
Find q such that 3*q**5 - 1599*q**4 + 205770*q**3 + 1939086*q**2 + 5904819*q + 5948721 = 0.
-3, 271
Factor -w**2/5 - 52*w/5 - 20.
-(w + 2)*(w + 50)/5
Factor 3*d**4 - 12*d**3 - 96*d**2.
3*d**2*(d - 8)*(d + 4)
Suppose -3*h**3 - 957*h**2 = 0. Calculate h.
-319, 0
Factor s**3/7 - 16*s**2/7 - 11*s - 60/7.
(s - 20)*(s + 1)*(s + 3)/7
Factor -3*a**5 - 111*a**4 + 234*a**3 - 6*a**2 - 231*a + 117.
-3*(a - 1)**3*(a + 1)*(a + 39)
Factor -2*g**3 - 184*g**2 - 712*g - 704.
-2*(g + 2)**2*(g + 88)
Factor -3*l**2 + 120*l + 123.
-3*(l - 41)*(l + 1)
Solve -2*t**4/5 + 3*t**3/5 + 3*t**2/5 - 2*t/5 = 0 for t.
-1, 0, 1/2, 2
Find m such that -m**2/4 - 11*m/2 + 23/4 = 0.
-23, 1
Factor -s**4/2 - 10*s**3 - 53*s**2/2 - 17*s.
-s*(s + 1)*(s + 2)*(s + 17)/2
Factor -5*i**4 - 330*i**3 - 5100*i**2 + 11560*i.
-5*i*(i - 2)*(i + 34)**2
Solve 4*f**5/7 - 108*f**4/7 + 64*f**3/7 + 144*f**2 + 832*f/7 = 0 for f.
-2, -1, 0, 4, 26
What is p in 15*p**3/7 - 27*p**2/7 + 12*p/7 = 0?
0, 4/5, 1
Let 5*g**2 - 290*g + 825 = 0. What is g?
3, 55
What is z in -6*z**4 + 280*z**3 - 184*z**2 = 0?
0, 2/3, 46
Factor 2*y**2/9 - 14*y/9 - 80/3.
2*(y - 15)*(y + 8)/9
Determine n so that 3*n**5/7 + 3*n**4/7 - 15*n**3/7 - 15*n**2/7 + 12*n/7 + 12/7 = 0.
-2, -1, 1, 2
Factor -a**3/2 + 195*a**2 - 25350*a + 1098500.
-(a - 130)**3/2
Factor 44*h**3 - 1744*h**2 + 16960*h + 6400.
4*(h - 20)**2*(11*h + 4)
Suppose -328*i**2 + 6*i = 0. What is i?
0, 3/164
Let -15*w**2 + 55*w - 40 = 0. What is w?
1, 8/3
Factor -5*j**4 + 580*j**3 + 585*j**2.
-5*j**2*(j - 117)*(j + 1)
Let -v**4/8 + 25*v**3/8 - 187*v**2/8 + 363*v/8 = 0. Calculate v.
0, 3, 11
Solve -2*s**4/7 - 6*s**3 - 176*s**2/7 - 264*s/7 - 128/7 = 0.
-16, -2, -1
Suppose 3*n**5 - 192*n**4 - 198*n**3 + 192*n**2 + 195*n = 0. Calculate n.
-1, 0, 1, 65
Let b**2/5 - 223*b/5 + 344 = 0. What is b?
8, 215
Find x such that 3*x**2 - 72*x + 132 = 0.
2, 22
What is l in -3*l**3/8 + 15*l**2/4 + 129*l/8 - 39/2 = 0?
-4, 1, 13
Determine a so that a**3/5 + 4*a**2 + 101*a/5 + 26 = 0.
-13, -5, -2
Solve 13*p**5/6 + 245*p**4/6 - 383*p**3/3 - 11410*p**2/3 + 588*p = 0 for p.
-14, 0, 2/13, 9
What is v in v**5/2 - 11*v**4/2 - 39*v**3/2 - 41*v**2/2 - 7*v = 0?
-1, 0, 14
Factor 2*a**3/11 + 28*a**2/11 + 64*a/11 - 256/11.
2*(a - 2)*(a + 8)**2/11
Factor -3*b**2 + 8973*b + 8976.
-3*(b - 2992)*(b + 1)
What is f in -18*f**5 + 7446*f**4 + 24964*f**3 + 23336*f**2 + 6672*f = 0?
-2, -2/3, 0, 417
Let 2*q**4 + 192*q**3 + 2346*q**2 + 4124*q + 1968 = 0. Calculate q.
-82, -12, -1
Find w such that 3*w**4/7 + 180*w**3/7 + 3900*w**2/7 + 36000*w/7 + 120000/7 = 0.
-20, -10
Factor -q**3/2 - 94*q**2 - 1085*q/2 + 637.
-(q - 1)*(q + 7)*(q + 182)/2
Suppose k**5/4 - 9*k**4/2 - 39*k**3/4 - 5*k**2 = 0. Calculate k.
-1, 0, 20
Factor -3*f**4 + 24*f**3 + 27*f**2.
-3*f**2*(f - 9)*(f + 1)
Factor -r**3/5 + 34*r**2/5 - 19*r + 62/5.
-(r - 31)*(r - 2)*(r - 1)/5
Determine b so that -3*b**5 - 12*b**4 + 18*b**3 + 108*b**2 + 81*b = 0.
-3, -1, 0, 3
Solve 4*i**5 - 80*i**4 + 88*i**3 + 3136*i**2 + 5668*i + 2704 = 0.
-4, -1, 13
Solve -12*t**5 + 244*t**4 - 1224*t**3 + 944*t**2 + 1248*t = 0.
-2/3, 0, 2, 6, 13
Let -2*d**4 - 106*d**3 - 1792*d**2 - 9800*d = 0. What is d?
-25, -14, 0
Let -n**5 + 12*n**4 - 21*n**3 + 10*n**2 = 0. What is n?
0, 1, 10
Determine u so that -5*u**2/2 - 20*u - 30 = 0.
-6, -2
Factor -4*a**4 + 32*a**3 + 32*a**2 - 384*a - 576.
-4*(a - 6)**2*(a + 2)**2
Determine j so that -216*j**3/7 - 112032*j**2/7 + 37362*j/7 - 3114/7 = 0.
-519, 1/6
Determine j so that -2*j**5 - 3404*j**4/5 - 58748*j**3 - 691552*j**2/5 - 103090*j - 114244/5 = 0.
-169, -1, -2/5
Find f, given that 3*f**2 + 438*f + 15987 = 0.
-73
Factor -2*n**2/7 - 54*n/7 - 184/7.
-2*(n + 4)*(n + 23)/7
Find g such that 8*g**2/9 + 27686*g/9 - 6922/9 = 0.
-3461, 1/4
Let -g**4/5 + 12*g**3 - 1056*g**2/5 + 7424*g/5 - 18432/5 = 0. What is g?
8, 36
Factor -5*o**2 - 460*o + 4545.
-5*(o - 9)*(o + 101)
Let 25*q**4/2 - 17240*q**3 + 5937452*q**2 + 4758240*q + 952200 = 0. What is q?
-2/5, 690
Suppose -722*l**4/3 - 646*l**3/3 + 3760*l**2/3 - 800*l = 0. Calculate l.
-3, 0, 20/19
What is b in 5*b**5 + 1510*b**4 - 3045*b**3 - 1510*b**2 + 3040*b = 0?
-304, -1, 0, 1, 2
Factor 5*t**5 + 45*t**4 + 150*t**3 + 230*t**2 + 165*t + 45.
5*(t + 1)**3*(t + 3)**2
Factor -4*b**3 + 104*b**2 - 512*b + 640.
-4*(b - 20)*(b - 4)*(b - 2)
Factor -3*x**2 + 78*x - 399.
-3*(x - 19)*(x - 7)
Factor 2*c**4 + 160*c**3.
2*c**3*(c + 80)
Factor 3*h**2/2 - 2238*h + 834774.
3*(h - 746)**2/2
Factor 5*y**3 - 20*y.
5*y*(y - 2)*(y + 2)
Suppose 4*t**4/9 - 49*t**3/9 + 128*t**2/9 - 101*t/9 + 2 = 0. Calculate t.
1/4, 1, 2, 9
What is d in 3*d**3 - 1365*d**2 + 154584*d + 155952 = 0?
-1, 228
Let 4*j**4 + 7492*j**3 + 4680000*j**2 + 976555008*j + 971882496 = 0. Calculate j.
-624, -1
Solve -2*x**3 - 64*x**2 - 666*x - 2268 = 0.
-14, -9
Factor -4*f**2 - 460*f - 456.
-4*(f + 1)*(f + 114)
Factor -2*w**2/15 + 356*w/15 - 15842/15.
-2*(w - 89)**2/15
Suppose -3*w**4/5 + 2*w**3/5 + 3*w**2/5 - 2*w/5 = 0. What is w?
-1, 0, 2/3, 1
Factor -9*y**2/5 + 1479*y/5 + 198.
-3*(y - 165)*(3*y + 2)/5
Factor -6*n**2 - 27818*n - 9272.
-2*(n + 4636)*(3*n + 1)
Let -4*y**3 + 2116*y**2 - 12588*y + 18828 = 0. Calculate y.
3, 523
Find w such that -3*w**5 + 51*w**4 - 3*w**3 - 747*w**2 + 270*w + 2592 = 0.
-3, -2, 3, 16
Solve -p**2/3 - 98*p/3 = 0 for p.
-98, 0
Factor -a**2/4 + 291*a/2 - 84681/4.
-(a - 291)**2/4
Factor -f**5/6 + 515*f**4/6 - 14706*f**3 + 2499848*f**2/3 + 2544224*f/3.
-f*(f - 172)**3*(f + 1)/6
Factor -2*p**2/5 + 38*p/5 - 36/5.
-2*(p - 18)*(p - 1)/5
What is y in 2*y**3 + 12*y**2 + 16*y = 0?
-4, -2, 0
Find w such that -4*w**5 + 20*w**4 + 48*w**3 - 144*w**2 = 0.
-3, 0, 2, 6
Factor -5*c**3 + 45*c**2 - 75*c + 35.
-5*(c - 7)*(c - 1)**2
Factor -3*i**5 + 180*i**4 - 312*i**3 - 2046*i**2 - 2421*i - 870.
-3*(i - 58)*(i - 5)*(i + 1)**3
Factor v**2/3 - 8*v - 25/3.
(v - 25)*(v + 1)/3
What is u in 3*u**4/8 + 9*u**3/4 - 33*u/4 + 45/8 = 0?
-5, -3, 1
Find m such that 484*m**2/3 - 704*m + 768 = 0.
24/11
Find a such that 3*a**2/4 - 3*a/2 - 6 = 0.
-2, 4
Solve 6*d**4/5 + 30*d**3 - 6*d**2/5 - 30*d = 0 for d.
-25, -1, 0, 1
Factor -2*l**3/7 - 86*l**2/7.
-2*l**2*(l + 43)/7
Find t, given that 2*t**3 + 48*t**2 - 54*t - 100 = 0.
-25, -1, 2
Determine x so that 4*x**3/7 - 45312*x**2/7 + 171098112*x/7 - 215355490304/7 = 0.
3776
Factor 5*p**2 - 10*p - 175.
5*(p - 7)*(p + 5)
Let -r**2 - 1603*r = 0. Calculate r.
-1603, 0
Let 2*l**3/5 + 74*l**2/5 - 2*l/5 - 74/5 = 0. Calculate l.
-37, -1, 1
Solve -5*i**2 - 845*i/2 + 425/2 = 0.
-85, 1/2
What is w in -4*w**3 - 32*w**2 - 64*w = 0?
-4, 0
Factor z**3/2 - 9*z**2/2 - z/2 + 9/2.
(z - 9)*(z - 1)*(z + 1)/2
Suppose 5*r**2 + 35*r - 90 = 0. What is r?
-9, 2
Factor -12*y**2 - 296*y + 2660.
-4*(y - 7)*(3*y + 95)
Factor -4*p**5 - 76*p**4 - 476*p**3 - 980*p**2.
-4*p**2*(p + 5)*(p + 7)**2
What is t in 6*t**2/11 - 932*t/11 + 112 = 0?
4/3, 154
Solve -4*v**4/9 + 8*v**3 + 80*v**2/3 + 248*v/9 + 28/3 = 0.
-1, 21
Factor -w**2 + 22*w - 21.
-(w - 21)*(w - 1)
Suppose -7*n**3 + 53*n**2/2 - 22*n - 6 = 0. Calculate n.
-3/14, 2
Determine r, given that -13*r**3/6 + 22*r**2/3 + 83*r/6 - 19 = 0.
-2, 1, 57/13
What is m in 3*m**3 + 18*m**2 + 15*m - 36 = 0?
-4, -3, 1
Find f such that f**3/4 + 13*f**2/4 - 7*f/2 = 0.
-14, 0, 1
Find c, given that 12*c**2/5 + 9316*c/5 + 3104/5 = 0.
-776, -1/3
Solve f**3/8 - 13*f**2/4 + 131*f/8 + 187/4 = 0.
-2, 11, 17
Factor -x**2 - 773*x + 1550.
-(x - 2)*(x + 775)
Find o, given that -4*o**5 - 92*o**4 - 456*o**3 - 856*o**2 - 692*o - 204 = 0.
-17, -3, -1
Suppose 5*j**3 - 470*j**2 + 465*j = 0. What is j?
0, 1, 93
Suppose -21*c**4/5 - 69