 v?
4, 7
Suppose -c**4/5 + c**3/5 + 3*c**2 + 23*c/5 + 2 = 0. Calculate c.
-2, -1, 5
Factor -4*s**4 - 9*s**3 + 3*s**2 + 10*s.
-s*(s - 1)*(s + 2)*(4*s + 5)
Determine k so that 6*k**4/7 + 27*k**3/7 - 51*k**2/7 + 18*k/7 = 0.
-6, 0, 1/2, 1
Determine r, given that r**2/4 - 165*r/2 + 27225/4 = 0.
165
Find h, given that 2*h**3/11 - 102*h**2/11 - 666*h/11 - 1026/11 = 0.
-3, 57
Let z**5/12 + 5*z**4/6 + 35*z**3/12 + 25*z**2/6 + 2*z = 0. Calculate z.
-4, -3, -2, -1, 0
Factor -d**2/4 + 5*d/4 - 1.
-(d - 4)*(d - 1)/4
Find a, given that -3*a**2 - 9*a + 54 = 0.
-6, 3
Find y, given that y**3/5 + 12*y**2/5 = 0.
-12, 0
Suppose 2*u**4/3 + 116*u**3/9 + 458*u**2/9 + 140*u/9 = 0. What is u?
-14, -5, -1/3, 0
Factor 3*n**4 + 24*n**3 - 9*n**2 - 78*n - 48.
3*(n - 2)*(n + 1)**2*(n + 8)
Factor -3*z**4 + 210*z**3 - 2979*z**2 - 24852*z - 21660.
-3*(z - 38)**2*(z + 1)*(z + 5)
Suppose -12*y**3 - 1148*y**2/5 - 3032*y/5 - 384/5 = 0. Calculate y.
-16, -3, -2/15
Factor g**2/5 + 258*g/5 + 16641/5.
(g + 129)**2/5
Factor 3*a**4 - 183*a**3 - 765*a**2 - 969*a - 390.
3*(a - 65)*(a + 1)**2*(a + 2)
Find p such that -24*p**2 - 158*p/3 - 28/3 = 0.
-2, -7/36
Suppose 4*n**4/5 - 584*n**3/5 - 3024*n**2/5 + 584*n/5 + 604 = 0. Calculate n.
-5, -1, 1, 151
Factor 6*w**2/5 - 118*w/15 - 132/5.
2*(w - 9)*(9*w + 22)/15
Determine b, given that 3*b**5/8 - 9*b**4/2 + 81*b**3/8 + 15*b**2 = 0.
-1, 0, 5, 8
Factor t**4 - 6*t**3 + t**2 + 24*t + 16.
(t - 4)**2*(t + 1)**2
Find o, given that -4*o**3/3 - 176*o**2 - 1660*o - 12200/3 = 0.
-122, -5
Suppose d**2 - 690*d + 119025 = 0. Calculate d.
345
Factor 3*u**4/5 - 612*u**3/5 + 1818*u**2/5 - 1812*u/5 + 603/5.
3*(u - 201)*(u - 1)**3/5
Factor o**4/6 + o**3 - 11*o**2/6 - 10*o + 50/3.
(o - 2)**2*(o + 5)**2/6
Determine t so that -2*t**3/5 - 148*t**2/5 + 458*t/5 - 308/5 = 0.
-77, 1, 2
Determine v, given that 30*v**2 - 28*v - 2 = 0.
-1/15, 1
Let 4*t**4 + 120*t**3 + 308*t**2 - 432*t = 0. What is t?
-27, -4, 0, 1
Factor p**4/4 - 9*p**3/4 + 7*p**2/2 + 6*p.
p*(p - 6)*(p - 4)*(p + 1)/4
Factor -7*d**3/6 - 331*d**2/6 + 296*d/3 + 98/3.
-(d - 2)*(d + 49)*(7*d + 2)/6
Factor 2*z**4/7 - 18*z**3/7 + 2*z**2 + 90*z/7 + 8.
2*(z - 7)*(z - 4)*(z + 1)**2/7
What is s in -2*s**5/15 - 46*s**4/15 + 206*s**3/15 - 266*s**2/15 + 36*s/5 = 0?
-27, 0, 1, 2
Let 2*i**2 - 42*i + 196 = 0. Calculate i.
7, 14
Suppose -2*r**4/9 - 194*r**3/9 - 1600*r**2/3 - 512*r = 0. What is r?
-48, -1, 0
Find r such that 27*r**5 - 150*r**4 + 77*r**3 - 10*r**2 = 0.
0, 2/9, 1/3, 5
Determine n, given that 3*n**3/5 + 29*n**2/5 + 17*n/5 - 9/5 = 0.
-9, -1, 1/3
Find c, given that c**2/4 - 1061*c/4 + 265 = 0.
1, 1060
Solve 3*h**2/2 - 57*h/2 + 90 = 0.
4, 15
Determine m so that -2*m**4/13 + 4*m**3/13 + 16*m**2/13 = 0.
-2, 0, 4
Determine j so that 6*j**4/11 - 182*j**3/11 + 1572*j**2/11 - 2856*j/11 + 784/11 = 0.
1/3, 2, 14
Find a, given that -4*a**3 + 484*a**2 + 4*a - 484 = 0.
-1, 1, 121
Find b, given that 3*b**5 - 453*b**4 + 17310*b**3 - 14634*b**2 - 83025*b - 50625 = 0.
-1, 3, 75
Find z, given that -7*z**3 - 79*z**2 - 92*z - 20 = 0.
-10, -1, -2/7
Let 12*q**4 + 9*q**3 - 771*q**2 - 576*q + 192 = 0. Calculate q.
-8, -1, 1/4, 8
Let -2*a**3/9 - 334*a**2/9 - 14110*a/9 - 13778/9 = 0. What is a?
-83, -1
Factor 1682*m**3 - 3393*m**2 + 465*m/8 - 1/4.
(m - 2)*(116*m - 1)**2/8
Factor -s**4 - 8*s**3 - 21*s**2 - 18*s.
-s*(s + 2)*(s + 3)**2
Factor 4*r**3/5 - 5008*r**2/5 + 1567504*r/5.
4*r*(r - 626)**2/5
Factor 45*u**2/7 - 1331*u + 414/7.
(u - 207)*(45*u - 2)/7
Solve 10*r**3 - 15*r**2 = 0.
0, 3/2
Factor -3*a**2/2 + 3*a + 45/2.
-3*(a - 5)*(a + 3)/2
Determine l, given that -l**2/2 + 59*l/2 + 126 = 0.
-4, 63
Let 42*p**5/11 - 234*p**4/11 - 6*p**3 + 1026*p**2/11 + 1104*p/11 + 288/11 = 0. What is p?
-1, -3/7, 4
What is f in 15*f**3 - 130*f**2 + 305*f - 150 = 0?
2/3, 3, 5
Factor -2*f**3 - 96*f**2 - 90*f + 188.
-2*(f - 1)*(f + 2)*(f + 47)
Factor 2*t**3/15 - 26*t**2/5 + 266*t/5 - 722/15.
2*(t - 19)**2*(t - 1)/15
Suppose -5*y**2 - 1125*y - 7630 = 0. What is y?
-218, -7
Factor -15*f**4 - 35*f**3/2 + 10*f**2 + 25*f/2.
-5*f*(f + 1)**2*(6*f - 5)/2
Factor 4*r**4 + 1168*r**3 + 6912*r**2 + 13760*r + 9152.
4*(r + 2)**3*(r + 286)
Factor -y**3/4 - 4*y**2 - 16*y.
-y*(y + 8)**2/4
Let 2*d**5 + 86*d**4 + 880*d**3 - 968*d**2 = 0. What is d?
-22, 0, 1
Find c such that -3*c**4 - 6*c**3 + 9*c**2 + 12*c - 12 = 0.
-2, 1
Determine w, given that 5*w**5 - 1690*w**4 + 141105*w**3 + 287300*w**2 + 144500*w = 0.
-1, 0, 170
Factor q**3/2 + 25*q**2/6 + 25*q/6 - 125/6.
(q + 5)**2*(3*q - 5)/6
Factor 2*n**2/15 - 4*n/15 - 448/15.
2*(n - 16)*(n + 14)/15
Factor -4*w**2 + 7952*w - 3952144.
-4*(w - 994)**2
Find n such that n**4/2 + 363*n**3/2 = 0.
-363, 0
Find f, given that -2*f**4 - 30*f**3 - 52*f**2 + 480*f = 0.
-10, -8, 0, 3
Suppose g**3/2 - 1975*g**2 + 3900625*g/2 = 0. Calculate g.
0, 1975
Determine o, given that -2*o**3 - 10*o**2 - 8*o = 0.
-4, -1, 0
Factor -3*b**2 + 513*b - 1014.
-3*(b - 169)*(b - 2)
Let 2*a**5 - 76*a**4/3 + 884*a**3/9 - 352*a**2/3 + 442*a/9 - 20/3 = 0. Calculate a.
1/3, 1, 5, 6
Solve -3*v**5/4 - 3*v**4/2 + 9*v**3 + 21*v**2/2 - 33*v/4 - 9 = 0.
-4, -1, 1, 3
What is z in -2*z**3/15 + 8*z**2 + 82*z/5 + 124/15 = 0?
-1, 62
Factor 2*y**3/7 - 2*y**2 + 20*y/7.
2*y*(y - 5)*(y - 2)/7
Factor -n**2/2 - 9*n/2 + 18.
-(n - 3)*(n + 12)/2
Factor -4*d**4 - 8*d**3 + 108*d**2 + 224*d - 320.
-4*(d - 5)*(d - 1)*(d + 4)**2
Let 4*j**2 + 240*j - 1300 = 0. Calculate j.
-65, 5
Suppose -4*u**2 + 64*u - 112 = 0. Calculate u.
2, 14
Let -10*u**5 - 238*u**4/3 - 10*u**3/3 + 1294*u**2/3 - 80*u/3 - 56 = 0. Calculate u.
-7, -3, -1/3, 2/5, 2
Find w, given that 4*w**5 - 48*w**4 + 212*w**3 - 424*w**2 + 384*w - 128 = 0.
1, 2, 4
Let 45*t**5 - 600*t**4 - 2140*t**3 + 3600*t**2 - 1280*t = 0. What is t?
-4, 0, 2/3, 16
Solve -3*c**5/7 - 15*c**4/7 + 354*c**3/7 + 1122*c**2/7 - 1593*c - 1701 = 0 for c.
-9, -1, 7
Factor 2*z**3/17 + 36*z**2 - 2472*z/17 + 2480/17.
2*(z - 2)**2*(z + 310)/17
Suppose -3*o**4/5 - 33*o**3/5 - 129*o**2/5 - 207*o/5 - 108/5 = 0. Calculate o.
-4, -3, -1
Factor -h**3/5 - 6*h**2/5 - 12*h/5 - 8/5.
-(h + 2)**3/5
Factor t**4/6 - 4*t**3/3 - 5*t**2 + 200*t/3 - 875/6.
(t - 5)**3*(t + 7)/6
Determine b so that 5*b**2 - 65*b + 60 = 0.
1, 12
Factor k**3/3 + 23*k**2/3 + 56*k/3 - 980/3.
(k - 5)*(k + 14)**2/3
Suppose -484*w**5 - 792*w**4 + 6628*w**3 - 7160*w**2 + 1968*w - 160 = 0. Calculate w.
-5, 2/11, 1, 2
Factor 2*h**2 + 110*h + 900.
2*(h + 10)*(h + 45)
Factor -3*r**3 + 36*r**2 + 12*r - 144.
-3*(r - 12)*(r - 2)*(r + 2)
Factor 10*s**2 + 15*s/2.
5*s*(4*s + 3)/2
Factor 5*q**4 - 15*q**3 - 795*q**2 - 1525*q - 750.
5*(q - 15)*(q + 1)**2*(q + 10)
Suppose z**2/4 - 3*z/2 + 5/4 = 0. Calculate z.
1, 5
Solve 2*p**3/13 + 16*p**2/13 + 10*p/13 - 100/13 = 0.
-5, 2
Factor 2*q**4/11 - 10*q**3/11 - 48*q**2/11.
2*q**2*(q - 8)*(q + 3)/11
Determine m so that -2*m**2 - 424*m/3 + 142/3 = 0.
-71, 1/3
Factor 5*f**4 - 580*f**3 + 570*f**2 + 580*f - 575.
5*(f - 115)*(f - 1)**2*(f + 1)
Suppose -7*q**3 - 499*q**2 - 142*q = 0. What is q?
-71, -2/7, 0
Find r such that -4*r**2 + 5688*r - 2022084 = 0.
711
Suppose n**3/4 + 11*n**2/2 - 47*n/4 + 6 = 0. What is n?
-24, 1
Suppose 12*l**5 + 32*l**4 - 388*l**3 + 888*l**2 - 800*l + 256 = 0. What is l?
-8, 1, 4/3, 2
Factor -k**3 + 72*k**2 - 1296*k.
-k*(k - 36)**2
What is z in 3*z**2 + 105*z + 450 = 0?
-30, -5
Suppose 2*s**5/15 + 2*s**4/3 - 28*s**3/15 + 4*s**2/15 + 26*s/15 - 14/15 = 0. What is s?
-7, -1, 1
Find l, given that 12*l**3 + 57*l**2 - 15*l = 0.
-5, 0, 1/4
Find u such that -u**5 + 16*u**4 - 47*u**3 - 16*u**2 + 48*u = 0.
-1, 0, 1, 4, 12
Determine a, given that 5*a**2 - 1360*a - 1365 = 0.
-1, 273
Solve 4*v**4 - 136*v**3 - 288*v**2 = 0.
-2, 0, 36
Let 108*v**2 + 364*v + 120 = 0. Calculate v.
-3, -10/27
Factor -2*v**3/9 - 526*v**2/9 + 2128*v/9 - 712/3.
-2*(v - 2)**2*(v + 267)/9
Factor x**4 + 156*x**3 + 613*x**2 + 762*x + 304.
(x + 1)**2*(x + 2)*(x + 152)
Suppose 57121*w**3/5 - 956*w**2/5 + 4*w/5 = 0. Calculate w.
0, 2/239
Solve -49*b**4 - 21*b**3 + 122*b**2 - 60*b + 8 = 0.
-2, 2/7, 1
Determine b, given that -2*b**4/3 + 2*b**3/3 + 14*b**2/3 - 26*b/3 + 4 = 0.
-3, 1, 2
Factor -5*y**2 + 60*y - 100.
-5*(y - 10)*(y - 2)
Factor 5*d**4/2 + d**3 - 18*d**2 - 4*d + 32.
(d - 2)*(d + 2)**2*(5*d - 8)/2
Factor -4*h**4 - 656*h**3 - 26896*h**2.
-4*h**2*(h + 82)**2
Suppose d**2/3 + 491*d/3 = 0. What is d?
-491, 0