-1, 8
Factor 968*w**2/3 + 88*w + 6.
2*(22*w + 3)**2/3
Factor m**2 - 6*m - 7.
(m - 7)*(m + 1)
Solve 10*s**3 - 78*s**2 - 472*s = 0.
-4, 0, 59/5
What is q in 3*q**2/8 - 3/8 = 0?
-1, 1
Factor -3*d**5/4 + 27*d**4/4 + 99*d**3/4 + 105*d**2/4 + 9*d.
-3*d*(d - 12)*(d + 1)**3/4
Factor 3*i**3/4 - 285*i**2/2.
3*i**2*(i - 190)/4
Solve -d**4/4 + 3*d**3 - 11*d**2/4 = 0 for d.
0, 1, 11
Factor -m**3 + 43*m**2 + 89*m + 45.
-(m - 45)*(m + 1)**2
Factor 5*s**4 - 155*s**3 - 2215*s**2 - 3945*s - 1890.
5*(s - 42)*(s + 1)**2*(s + 9)
Factor 2*b**2/7 + 62*b + 432/7.
2*(b + 1)*(b + 216)/7
Factor 4*h**3 + 11*h**2 + 5*h - 2.
(h + 1)*(h + 2)*(4*h - 1)
Find r such that -r**4 + 7*r**3 - 7*r**2 - 15*r = 0.
-1, 0, 3, 5
Solve 17*z**4 - 83*z**3 - 452*z**2 + 1988*z + 240 = 0 for z.
-5, -2/17, 4, 6
Factor 2*p**2/17 + 182*p/17.
2*p*(p + 91)/17
Suppose -c**4/7 - c**3 + 39*c**2/7 + 95*c/7 + 50/7 = 0. What is c?
-10, -1, 5
Determine l so that -l**5/2 - 7*l**4/3 - 5*l**3/6 + 7*l**2/3 + 4*l/3 = 0.
-4, -1, -2/3, 0, 1
Factor -2*s**3 + 12318*s**2 - 25288854*s + 17306005754.
-2*(s - 2053)**3
Determine t, given that -2*t**5/3 - 128*t**4/3 - 162*t**3 - 352*t**2/3 + 488*t/3 + 160 = 0.
-60, -2, -1, 1
Factor -17*s**2/9 + 206*s/9 - 8/3.
-(s - 12)*(17*s - 2)/9
Factor -2*t**3/13 - 58*t**2/13 + 540*t/13 + 1296/13.
-2*(t - 9)*(t + 2)*(t + 36)/13
Factor w**3/2 + 7*w**2 + 35*w/2 + 11.
(w + 1)*(w + 2)*(w + 11)/2
Solve 5*j**5 + 125*j**4 - 175*j**3 - 1225*j**2 - 1450*j - 520 = 0 for j.
-26, -1, 4
Find a, given that 3*a**3/5 - 9*a**2/5 + 6*a/5 = 0.
0, 1, 2
Determine b so that 3*b**5/2 - 3*b**4 - 9*b**3 + 12*b**2 + 15*b/2 - 9 = 0.
-2, -1, 1, 3
What is x in -7*x**4/6 + 5*x**3/6 + 190*x**2/3 - 150*x - 48 = 0?
-8, -2/7, 3, 6
Factor -i**3 - 39*i**2 - 38*i.
-i*(i + 1)*(i + 38)
Solve -4*s**5/3 + 52*s**4/3 - 88*s**3/3 - 8*s**2/3 + 92*s/3 - 44/3 = 0 for s.
-1, 1, 11
Factor 2*i**4/9 - 112*i**3/9 + 196*i**2 - 14406.
2*(i - 21)**3*(i + 7)/9
Solve -k**2/2 - 11*k/2 = 0.
-11, 0
Let 2*g**2 - 230*g/11 - 12 = 0. What is g?
-6/11, 11
Factor 4*t**3 + 72*t**2.
4*t**2*(t + 18)
Find m, given that -4*m**2 + 40*m + 156 = 0.
-3, 13
Factor o**4/3 - 15*o**3 - o**2 + 137*o/3 - 30.
(o - 45)*(o - 1)**2*(o + 2)/3
Let 416*x**4 - 168*x**3 - 244*x**2 - 12*x + 8 = 0. Calculate x.
-1/2, -1/4, 2/13, 1
Factor 4*b**2 + 396*b + 1152.
4*(b + 3)*(b + 96)
Factor -3*l**2 + 567*l - 3294.
-3*(l - 183)*(l - 6)
Solve -5*n**5 + 65*n**3 + 80*n**2 - 60*n - 80 = 0 for n.
-2, -1, 1, 4
Let 4*q**4/11 - 30*q**3/11 - 60*q**2/11 + 50*q/11 + 36/11 = 0. Calculate q.
-2, -1/2, 1, 9
Factor -s**3/3 - 23*s**2/3 - 22*s/3.
-s*(s + 1)*(s + 22)/3
Factor 3*r**3/4 + 15*r**2/2 - 33*r/4.
3*r*(r - 1)*(r + 11)/4
Factor -k**2/4 + 887*k/2 - 786769/4.
-(k - 887)**2/4
Determine p so that 15*p**5/2 + 17*p**4 - 41*p**3/2 - 10*p**2 + 6*p = 0.
-3, -2/3, 0, 2/5, 1
Solve -u**3/5 + 31*u**2/5 = 0.
0, 31
Factor -32*w**3/5 + 208*w**2/5 + 22*w + 14/5.
-2*(w - 7)*(4*w + 1)**2/5
Factor 3*w**5 - 21*w**4 + 30*w**3 + 6*w**2 - 33*w + 15.
3*(w - 5)*(w - 1)**3*(w + 1)
Factor 4*k**4 - 20*k**3 - 28*k**2 + 20*k + 24.
4*(k - 6)*(k - 1)*(k + 1)**2
Solve -36*q**4/7 + 180*q**3/7 + 220*q**2/7 - 20*q/7 - 24/7 = 0.
-1, -1/3, 1/3, 6
Factor f**3/3 - 148*f**2 + 879*f - 1314.
(f - 438)*(f - 3)**2/3
Factor 15*f**3/2 - 551*f**2 + 509*f/2 + 73.
(f - 73)*(3*f - 2)*(5*f + 1)/2
Factor 12*j**3 + 164*j**2 + 248*j + 96.
4*(j + 1)*(j + 12)*(3*j + 2)
Solve 5*z**2 - 5680*z + 1613120 = 0 for z.
568
Let 3*u**2/4 + 21*u/4 + 9/2 = 0. Calculate u.
-6, -1
Factor -d**4/3 + 28*d**3/3 - 22*d**2/3 - 44*d - 27.
-(d - 27)*(d - 3)*(d + 1)**2/3
Determine s, given that 2*s**2/5 - 258*s/5 - 524/5 = 0.
-2, 131
Factor -5*p**2 - 690*p + 1400.
-5*(p - 2)*(p + 140)
Factor -4*h**4 + 88*h**3 + 300*h**2 + 16*h - 400.
-4*(h - 25)*(h - 1)*(h + 2)**2
Factor -2*u**2/13 - 134*u/13.
-2*u*(u + 67)/13
Find x such that 5*x**4/2 - 15*x**2/2 + 5*x = 0.
-2, 0, 1
Let -2*t**2 - 1344*t - 225792 = 0. What is t?
-336
Determine b, given that -170569*b**2/3 - 1652*b - 12 = 0.
-6/413
Let 4*q**2/3 - 224*q/3 + 144 = 0. What is q?
2, 54
Solve -w**3 + 145*w**2 + 148*w - 292 = 0 for w.
-2, 1, 146
Find w, given that -2*w**3 + 20*w**2 - 34*w + 16 = 0.
1, 8
Solve l**5/6 + l**4/2 - 9*l**3/2 + 13*l**2/6 + 7*l = 0.
-7, -1, 0, 2, 3
Solve 5*a**2 - 10*a = 0.
0, 2
Factor -2*h**2/3 + 142*h + 428/3.
-2*(h - 214)*(h + 1)/3
Factor -h**5/9 - 53*h**4/9 - 200*h**3/9 - 196*h**2/9.
-h**2*(h + 2)**2*(h + 49)/9
Solve 11*u**5/3 + 595*u**4/3 - 2443*u**3/3 + 2941*u**2/3 - 988*u/3 - 116/3 = 0 for u.
-58, -1/11, 1, 2
Let 4*q**3 + 72*q**2 + 68*q = 0. Calculate q.
-17, -1, 0
Factor 25*u**3/6 + 49*u**2/3 + 46*u/3 - 4/3.
(u + 2)**2*(25*u - 2)/6
Factor k**3 + 10*k**2 - 13*k - 22.
(k - 2)*(k + 1)*(k + 11)
Factor -2*q**2/11 - 20*q/11 + 2.
-2*(q - 1)*(q + 11)/11
Solve -2*s**5/9 + 118*s**4/9 + 242*s**3/9 + 122*s**2/9 = 0 for s.
-1, 0, 61
Suppose f**5/10 - 13*f**4/10 + 53*f**3/10 - 59*f**2/10 - 27*f/5 + 36/5 = 0. What is f?
-1, 1, 3, 4, 6
Let -4*t**3 - 280*t**2 + 572*t - 288 = 0. Calculate t.
-72, 1
Solve -6*j**3/11 - 468*j**2/11 + 978*j/11 + 1440/11 = 0.
-80, -1, 3
Determine k, given that 4*k**2/3 + 200*k/3 + 736/3 = 0.
-46, -4
Solve -2*a**5/3 - 6*a**4 - 8*a**3/3 + 24*a**2 + 64*a/3 = 0 for a.
-8, -2, -1, 0, 2
Factor -2*h**2 - 450*h - 3052.
-2*(h + 7)*(h + 218)
Find l such that -636*l**5 + 1275*l**4 - 6*l**3 - 1272*l**2 + 642*l - 3 = 0.
-1, 1/212, 1
Suppose -3*q**2/5 + 1413*q/5 + 1416/5 = 0. Calculate q.
-1, 472
Determine q so that -q**2/5 - 78*q/5 - 432/5 = 0.
-72, -6
Let 2*l**3/9 + 140*l**2/3 - 1274*l/9 + 284/3 = 0. Calculate l.
-213, 1, 2
Determine u so that -18*u**2 + 255*u - 603 = 0.
3, 67/6
Find v, given that -17*v**5/8 - 37*v**4/8 - 9*v**3/8 + 25*v**2/8 + 7*v/4 = 0.
-1, 0, 14/17
Find s, given that -3*s**4 + 30*s**3 + 72*s**2 = 0.
-2, 0, 12
Determine a so that -2*a**2/9 - 32*a/9 - 128/9 = 0.
-8
Factor -2*f**2 + 148*f + 150.
-2*(f - 75)*(f + 1)
Let 2*d**3/9 + 16*d**2/3 = 0. Calculate d.
-24, 0
Suppose 27*b**5 + 1395*b**4 + 15798*b**3 - 57564*b**2 + 40344*b = 0. What is b?
-82/3, 0, 1, 2
Factor -s**3/5 - 14*s**2/5 - 13*s/5.
-s*(s + 1)*(s + 13)/5
Factor 2*h**3/7 + 54*h**2/7.
2*h**2*(h + 27)/7
Find q such that -2*q**2 + 2004*q - 502002 = 0.
501
Solve 3*g**2/4 + 42*g + 165/4 = 0.
-55, -1
Determine o, given that 5*o**4 - 35*o**3 + 70*o**2 - 40*o = 0.
0, 1, 2, 4
Suppose 4*s**5/5 - 27*s**4/5 + 41*s**3/5 + 28*s**2/5 - 12*s - 16/5 = 0. Calculate s.
-1, -1/4, 2, 4
Factor -4*s**4 + 332*s**3 - 9396*s**2 + 96228*s - 157464.
-4*(s - 27)**3*(s - 2)
Suppose -2*v**2/19 - 130*v/19 = 0. What is v?
-65, 0
Let -4*f**5 - 68*f**4 + 4*f**3 + 68*f**2 = 0. Calculate f.
-17, -1, 0, 1
Find q such that 3*q**3/2 - 99*q**2 + 1365*q/2 + 783 = 0.
-1, 9, 58
Solve -2*x**5 - 896*x**4 - 99440*x**3 + 206988*x**2 + 500850*x - 607500 = 0 for x.
-225, -2, 1, 3
Factor 451*q**2 + 905*q + 6.
(q + 2)*(451*q + 3)
Find y such that 450*y**5 + 3810*y**4 + 7382*y**3 - 4258*y**2 - 6032*y - 1352 = 0.
-13/3, -2/5, 1
What is g in 3*g**4/7 + 18*g**3 - 129*g**2/7 = 0?
-43, 0, 1
Factor -r**5/9 - 8*r**4/9 - 16*r**3/9 + 2*r**2 + 9*r + 6.
-(r - 2)*(r + 1)*(r + 3)**3/9
Factor 2*y**5/5 - 124*y**4/5 - 104*y**3 - 528*y**2/5.
2*y**2*(y - 66)*(y + 2)**2/5
Factor -4*q**2/5 - 1288*q/5 - 103684/5.
-4*(q + 161)**2/5
Factor 2*s**2 - 6*s - 8.
2*(s - 4)*(s + 1)
Factor -4*u**2/5 - 2934*u + 7336/5.
-2*(u + 3668)*(2*u - 1)/5
Find w, given that -4*w**3 - 4*w**2 + 16*w + 16 = 0.
-2, -1, 2
Factor -140*u**4 + 16*u**3 + 16*u**2.
-4*u**2*(5*u - 2)*(7*u + 2)
Factor m**4 - 32*m**3 + 255*m**2 + 32*m - 256.
(m - 16)**2*(m - 1)*(m + 1)
Suppose 4*s**3 + 120*s**2 - 252*s + 128 = 0. Calculate s.
-32, 1
Factor -4*x**3 + 16*x**2 + 20*x.
-4*x*(x - 5)*(x + 1)
Factor 2*x**4/3 + 2*x**3 - 26*x**2 - 230*x/3 + 100.
2*(x - 6)*(x - 1)*(x + 5)**2/3
Factor 3*i**3 - 207*i**2 - 210*i.
3*i*(i - 70)*(i + 1)
Let 4*o**4 - 40*o**3 + 64*o**2 = 0. What is o?
0, 2, 8
Find c, given that c**4/2 + 5*c**3 - 2*c**2 - 20*c = 0.
-10, -2, 0, 2
What is x in 11*x**3 + 53*x**2 - 274*x + 48 = 0?
-8, 2/11, 3
Factor -2*y**4/5 - 4*y**3/5 + 48*y**2 - 1216*y/5 + 1792/5.
-2*(y - 4)**3*(y + 14)/5
Factor -11*c**3/3 + 134*c**2/3 - 8*c.
-c*(c - 12)*(11*c - 2)/3
Factor -o**3 - 141*o**2 - 6627*o - 103823.
-(o + 47)**3
Factor -l**2/2 - 21*l/2 - 10.
-(l + 1)*(l + 20)/2
Factor y**4/5 + y**3/5.
y**3*(y + 1)/5
Factor -l**5 + 10*l**4 + 3*l**3