 0.
1, 2, 51
Suppose -3*f**2/4 - 303*f/4 + 1485/2 = 0. Calculate f.
-110, 9
Suppose -48*w**2 + 140*w - 72 = 0. What is w?
2/3, 9/4
Let 4*t**5 - 40*t**4 + 96*t**3 + 40*t**2 - 100*t = 0. What is t?
-1, 0, 1, 5
Factor 30*a**2 + 65*a + 10.
5*(a + 2)*(6*a + 1)
Suppose -4*a**4 + 32*a**3 + 840*a**2 - 32*a - 836 = 0. What is a?
-11, -1, 1, 19
Factor 752640*w**3 + 271040*w**2 + 6855*w + 45.
5*(3*w + 1)*(224*w + 3)**2
Factor -4*k**3 + 84*k**2 - 80*k.
-4*k*(k - 20)*(k - 1)
Determine g so that 3*g**3/4 - 69*g**2/4 + 429*g/4 - 363/4 = 0.
1, 11
Factor -2*c**3/11 + 14*c**2/11 + 20*c/11 - 32/11.
-2*(c - 8)*(c - 1)*(c + 2)/11
Solve k**2 + 311*k - 626 = 0 for k.
-313, 2
Let -t**3/2 - 7*t**2 - 13*t/2 = 0. What is t?
-13, -1, 0
Factor -4*v**3 - 72*v**2 + 244*v - 168.
-4*(v - 2)*(v - 1)*(v + 21)
Suppose 16*r**3 + 244*r**2 + 284*r + 56 = 0. Calculate r.
-14, -1, -1/4
Suppose 2*k**2 - 918*k + 916 = 0. Calculate k.
1, 458
Factor -w**4 - 7*w**3 + 18*w**2.
-w**2*(w - 2)*(w + 9)
Factor 54*t**4/5 + 486*t**3/5 + 1584*t**2/5 + 2176*t/5 + 1024/5.
2*(t + 1)*(3*t + 8)**3/5
Suppose 9*p**4 - 561*p**3 + 8232*p**2 + 16896*p - 24576 = 0. Calculate p.
-8/3, 1, 32
Solve -t**4 - 86*t**3 - 2436*t**2 - 21866*t + 24389 = 0 for t.
-29, 1
Determine l so that -l**5/6 - 69*l**4/2 + 209*l**3/6 + 69*l**2/2 - 104*l/3 = 0.
-208, -1, 0, 1
Let -3*q**2 + 3*q + 18 = 0. Calculate q.
-2, 3
Suppose x**2/4 - 309*x/2 + 95481/4 = 0. Calculate x.
309
Solve -t**5/3 - 2*t**4/3 + 5*t**3/3 + 10*t**2/3 - 4*t/3 - 8/3 = 0 for t.
-2, -1, 1, 2
Find j such that -20*j**4 - 8152*j**3 - 820836*j**2 + 2010640*j - 672400 = 0.
-205, 2/5, 2
Solve x**5/9 - 14*x**4/9 + 23*x**3/3 - 140*x**2/9 + 100*x/9 = 0.
0, 2, 5
Determine l, given that -27*l**5/4 + 111*l**4/4 - 145*l**3/4 + 61*l**2/4 + l - 1 = 0.
-2/9, 1/3, 1, 2
Let 7*v**5/6 + 73*v**4/12 + 125*v**3/12 + 77*v**2/12 + v/12 - 5/6 = 0. What is v?
-5/2, -1, 2/7
Factor -5*v**3 - 85*v**2 + 2400*v.
-5*v*(v - 15)*(v + 32)
Factor 3*i**3/4 - 315*i**2 + 33075*i.
3*i*(i - 210)**2/4
Factor -3*w**4 + 12*w**3 + 9*w**2 - 54*w.
-3*w*(w - 3)**2*(w + 2)
Suppose 2*v**4 + 2*v**3 - 318*v**2 + 622*v - 308 = 0. Calculate v.
-14, 1, 11
Suppose -4*v**4/3 + 56*v**3/3 + 724*v**2 + 4160*v/3 + 2048/3 = 0. Calculate v.
-16, -1, 32
Factor -r**4 + 7*r**3 - 11*r**2 + 5*r.
-r*(r - 5)*(r - 1)**2
Factor -3*i**2/2 + 21*i + 720.
-3*(i - 30)*(i + 16)/2
Factor -2*r**2 + 374*r + 2316.
-2*(r - 193)*(r + 6)
Factor -2*q**4 + 2788*q**3 - 974402*q**2 + 1940448*q - 968832.
-2*(q - 696)**2*(q - 1)**2
Suppose j**2/5 - 8*j + 80 = 0. What is j?
20
Determine g so that -5*g**2 + 840*g - 35280 = 0.
84
Suppose 4*j**4 + 32*j**3 + 96*j**2 + 128*j + 64 = 0. Calculate j.
-2
Suppose 9*b**4/2 + 190*b**3 - 699*b**2/2 + 111*b + 44 = 0. What is b?
-44, -2/9, 1
Determine w so that -w**5/2 + w**4/2 + 9*w**3/2 + 11*w**2/2 + 2*w = 0.
-1, 0, 4
What is i in 3*i**3 - 324*i**2 + 11664*i - 139968 = 0?
36
What is v in -2*v**2/3 - 12*v - 54 = 0?
-9
Factor -2*w**4/7 + 228*w**3/7 - 7346*w**2/7 + 48336*w/7 - 89888/7.
-2*(w - 53)**2*(w - 4)**2/7
Determine q, given that -q**3/3 + 8*q**2 - 64*q + 512/3 = 0.
8
Factor -4*r**5 - 16*r**4 + 144*r**3 - 296*r**2 + 244*r - 72.
-4*(r - 2)*(r - 1)**3*(r + 9)
Factor 2*w**3 - 6*w**2 - 18*w - 10.
2*(w - 5)*(w + 1)**2
Factor -4*g**3 + 56*g**2 + 68*g - 120.
-4*(g - 15)*(g - 1)*(g + 2)
Let 3*i**4 - 6*i**3 - 57*i**2 - 84*i - 36 = 0. What is i?
-2, -1, 6
Determine w, given that 2*w**3/5 - 12*w**2/5 - 6*w - 16/5 = 0.
-1, 8
Determine l, given that 2*l**2/3 - 5*l - 9 = 0.
-3/2, 9
Find y, given that -y**2/5 + 41*y/5 = 0.
0, 41
Suppose 10*w**2/9 + 122*w/9 + 8/3 = 0. What is w?
-12, -1/5
Suppose 5*a**3 - 640*a**2 - 645*a = 0. Calculate a.
-1, 0, 129
Suppose -w**4/4 + 295*w**3/4 - 5094*w**2 - 51376*w - 46208 = 0. What is w?
-8, -1, 152
Find t such that t**2 - 100*t + 99 = 0.
1, 99
Solve -3*a**3/4 + 39*a**2/2 + 81*a/4 = 0.
-1, 0, 27
Let -2*g**3/5 - 4786*g**2/5 - 572166*g + 2865618/5 = 0. What is g?
-1197, 1
Determine i so that -8*i**5 + 132*i**4 - 436*i**3 - 900*i**2 - 324*i = 0.
-1, -1/2, 0, 9
What is j in 2*j**2 + 170*j - 172 = 0?
-86, 1
Determine z, given that z**5/4 + 3*z**4/4 - 9*z**3/4 + 5*z**2/4 = 0.
-5, 0, 1
Suppose v**4 - 2*v**3 - v**2 + 2*v = 0. What is v?
-1, 0, 1, 2
Factor -x**4/9 - 5*x**3/9 - 4*x**2/9.
-x**2*(x + 1)*(x + 4)/9
Let 5*d**4 - 55*d**3 + 110*d**2 + 300*d - 360 = 0. Calculate d.
-2, 1, 6
Determine i, given that -6*i**5/7 - 3*i**4/7 + 18*i**3/7 + 3*i**2 + 6*i/7 = 0.
-1, -1/2, 0, 2
Solve -4*q**2/9 - 2996*q/9 + 1000/3 = 0 for q.
-750, 1
Factor 2*i**3/7 + 8*i**2/7 + 8*i/7.
2*i*(i + 2)**2/7
Let y**5/3 + 65*y**4/3 + 188*y**3/3 + 124*y**2/3 = 0. What is y?
-62, -2, -1, 0
What is k in 10*k**2/3 - 8*k + 14/3 = 0?
1, 7/5
Find l, given that 2*l**2/5 - 5636*l/5 + 3970562/5 = 0.
1409
Factor -3*f**3 + 5736*f**2 - 2736063*f - 5495094.
-3*(f - 957)**2*(f + 2)
Let -3*n**5/7 + 81*n**4 + 573*n**3/7 - 81*n**2 - 570*n/7 = 0. What is n?
-1, 0, 1, 190
What is x in 2*x**5 + 44*x**4/5 - 114*x**3/5 - 92*x**2/5 + 104*x/5 + 48/5 = 0?
-6, -1, -2/5, 1, 2
Solve -8*i**5 - 124*i**4 - 272*i**3 - 156*i**2 = 0 for i.
-13, -3/2, -1, 0
Determine q, given that -5*q**5/2 + 65*q**4/2 + 360*q**3 + 1180*q**2 + 1640*q + 840 = 0.
-2, 21
Factor 5*c**4 - 1765*c**3 + 207090*c**2 - 8006300*c - 8215160.
5*(c - 118)**3*(c + 1)
Let -5*a**2 + 45*a - 40 = 0. What is a?
1, 8
Factor -2*u**3 - 14*u**2 - 22*u - 10.
-2*(u + 1)**2*(u + 5)
Factor -4*y**2 - 508*y + 512.
-4*(y - 1)*(y + 128)
Factor 2*g**4/7 + 156*g**3/7 + 3194*g**2/7 + 5928*g/7 + 2888/7.
2*(g + 1)**2*(g + 38)**2/7
Factor 3*g**2/8 + 75*g/8.
3*g*(g + 25)/8
Solve 5*f**2 + 1155*f - 1160 = 0 for f.
-232, 1
Factor m**4/4 + 107*m**3/4 - 165*m**2/2.
m**2*(m - 3)*(m + 110)/4
Solve u**2/5 - 28*u/5 + 196/5 = 0 for u.
14
Solve 5*o**3 + 3*o**2 - 14*o = 0.
-2, 0, 7/5
Factor -10*v**3 + 975*v**2 - 1440*v.
-5*v*(v - 96)*(2*v - 3)
Let -2*z**3/13 - 56*z**2 + 2*z/13 + 56 = 0. Calculate z.
-364, -1, 1
Factor 20*s**2 + 15*s - 50.
5*(s + 2)*(4*s - 5)
Factor 3*h**2 + 24*h - 195.
3*(h - 5)*(h + 13)
Let 2*i**5/9 + 16*i**4/9 - 40*i**3/9 + 4*i**2/9 + 38*i/9 - 20/9 = 0. Calculate i.
-10, -1, 1
Suppose 4*a**4 - 48*a**3 + 136*a**2 + 48*a - 140 = 0. What is a?
-1, 1, 5, 7
Factor -5*v**3 + 5*v**2 + 40*v - 60.
-5*(v - 2)**2*(v + 3)
Solve -r**5/5 + 3*r**4 + 57*r**3/5 - 47*r**2/5 - 132*r/5 + 108/5 = 0 for r.
-3, -2, 1, 18
What is i in -4*i**3 - 24*i**2 + 4*i + 24 = 0?
-6, -1, 1
Suppose -2*p**2/5 + 50*p - 492/5 = 0. What is p?
2, 123
Determine a so that -27*a**5/2 - 465*a**4/2 - 456*a**3 - 90*a**2 = 0.
-15, -2, -2/9, 0
Determine w so that 12*w**3 + 133125*w**2 + 369197226*w - 92307627 = 0.
-5547, 1/4
Let -2*l**5 - 16*l**4 - 10*l**3 + 28*l**2 = 0. What is l?
-7, -2, 0, 1
Find g, given that 2*g**5 + 742*g**4 + 92252*g**3 + 3904020*g**2 + 7534242*g + 3721734 = 0.
-123, -1
Find y, given that 2*y**2 - 64*y + 62 = 0.
1, 31
Suppose 14*f**4 - 300*f**3 + 384*f**2 + 320*f = 0. Calculate f.
-4/7, 0, 2, 20
Factor 2*c**2/11 + 20*c/11 + 42/11.
2*(c + 3)*(c + 7)/11
Factor -m**3/2 - 3*m**2/2 + 2*m.
-m*(m - 1)*(m + 4)/2
Suppose 5*t**3 - 20*t**2 - 105*t = 0. What is t?
-3, 0, 7
What is a in -2*a**4/15 + 8*a**3/15 - 2*a**2/15 - 4*a/5 = 0?
-1, 0, 2, 3
Suppose u**3/2 + 2311*u**2/2 + 667012*u - 668168 = 0. Calculate u.
-1156, 1
Find q, given that 4*q**4/7 - 30*q**3/7 + 4*q**2 + 102*q/7 + 40/7 = 0.
-1, -1/2, 4, 5
Factor 19*b**3 - 189*b**2 - 466*b - 24.
(b - 12)*(b + 2)*(19*b + 1)
Suppose 4*s**4/7 + 52*s**3/7 + 160*s**2/7 = 0. What is s?
-8, -5, 0
Suppose 2*k**3 - 64*k**2 - 280*k - 288 = 0. What is k?
-2, 36
Find l, given that 2*l**2 + 18*l/5 - 4/5 = 0.
-2, 1/5
What is h in -2*h**3 - 6*h**2 + 66*h + 70 = 0?
-7, -1, 5
Factor -3*t**3/5 + 6*t**2 + 69*t/5 + 36/5.
-3*(t - 12)*(t + 1)**2/5
Find r, given that r**4 + 2189*r**3 + 1196833*r**2 - 1203405*r - 2398050 = 0.
-1095, -1, 2
Factor -3*f**2 - 1500*f - 187500.
-3*(f + 250)**2
Find k, given that 10*k**4 + 244*k**3 + 1280*k**2 - 2548*k + 1014 = 0.
-13, 3/5, 1
Find q, given that 3*q**5/7 - 249*q**4/7 + 486*q**3/7 + 6*q**2/7 - 489*q/7 + 243/7 = 0.
-1, 1, 81
What is a in -a**4/10 + 6*a**3 - 59*a**2/10 = 0?
0, 1, 59
Factor 2*v**2 + 536*v + 35912.
2*(v + 134)**2
Factor d**2/7 + 20*d + 700.
(d + 70)**2/7
Suppose 2*b**3 - 52*b**2 + 352*b - 512 = 0. What is b?
2, 8, 16
Factor -r**3/4 - r**2/2 - r/4.
-r*(r + 1)**2/4
Solv