 f.
0, 1/4, 3
Factor -z**4/4 - 7*z**3/2 - 13*z**2/4.
-z**2*(z + 1)*(z + 13)/4
Suppose -p**2 + 20*p + 156 = 0. What is p?
-6, 26
Suppose 2*j**2/23 - 22*j/23 = 0. Calculate j.
0, 11
Determine i so that -5*i**3/2 - 55*i**2/3 + 215*i/6 - 15 = 0.
-9, 2/3, 1
Solve 3*o**5 - 483*o**4 + 20154*o**3 - 57594*o**2 + 56643*o - 18723 = 0.
1, 79
Solve 45*f**5 + 87*f**4 + 51*f**3 + 9*f**2 = 0.
-1, -3/5, -1/3, 0
Factor 5*r**4 + 85*r**3.
5*r**3*(r + 17)
Let -q**4/2 - 33*q**3/2 + 20*q**2 + 102*q = 0. Calculate q.
-34, -2, 0, 3
Find k, given that -2*k**5 + 4*k**4 + 24*k**3 - 28*k**2 - 22*k + 24 = 0.
-3, -1, 1, 4
Suppose -2*o**4 - 10*o**3 + 16*o**2 + 96*o = 0. Calculate o.
-4, 0, 3
Factor -441*t**2 + 897*t/5 - 6/5.
-3*(5*t - 2)*(147*t - 1)/5
Solve -2*b**5 + 4*b**4 + 8*b**3 - 16*b**2 = 0.
-2, 0, 2
Determine d so that -2*d**3/5 - 144*d**2/5 - 162*d - 1188/5 = 0.
-66, -3
What is u in u**3 - 8*u**2 - 9*u = 0?
-1, 0, 9
Factor 3*b**3 + 9*b**2 - 18*b - 24.
3*(b - 2)*(b + 1)*(b + 4)
Find m such that -5*m**3 - 35*m**2 + 140*m + 800 = 0.
-8, -4, 5
Factor -3*z**2 - 72*z + 75.
-3*(z - 1)*(z + 25)
Factor 5*z**4 - 135*z**3 + 215*z**2 + 855*z + 500.
5*(z - 25)*(z - 4)*(z + 1)**2
Factor -225*y**3 - 110*y**2 + 80*y.
-5*y*(5*y - 2)*(9*y + 8)
Determine a so that 2*a**4/5 + 56*a**3/5 + 372*a**2/5 + 104*a - 190 = 0.
-19, -5, 1
Determine n so that 5*n**2 + 10*n - 75 = 0.
-5, 3
Suppose a**3/3 - 6*a**2 + 95*a/3 - 50 = 0. Calculate a.
3, 5, 10
Determine q, given that 54*q**5 - 252*q**4 + 426*q**3 - 332*q**2 + 120*q - 16 = 0.
1/3, 2/3, 1, 2
Solve 3*i**2 - 1458*i + 177147 = 0.
243
Factor 5*z**4 + 125*z**3 + 115*z**2 - 125*z - 120.
5*(z - 1)*(z + 1)**2*(z + 24)
Determine g so that 12*g**5 + 908*g**4 - 21828*g**3 + 150276*g**2 - 284984*g - 263424 = 0.
-96, -2/3, 7
Find y such that 2*y**3 + 158*y**2 + 3040*y - 3200 = 0.
-40, 1
Factor 3*q**2 + 14535*q + 14532.
3*(q + 1)*(q + 4844)
Suppose -q**3/4 + 39*q/4 - 35/2 = 0. What is q?
-7, 2, 5
Find b such that 5*b**3 - 40*b**2 + 60*b = 0.
0, 2, 6
What is h in -4*h**5/3 - 44*h**4/3 + 520*h**3/3 - 1576*h**2/3 + 596*h - 228 = 0?
-19, 1, 3
Determine q, given that q**2/3 + 2*q - 16/3 = 0.
-8, 2
Determine a so that 3*a**3 + 18*a**2 + 27*a + 12 = 0.
-4, -1
Let 4*j**5 - 20*j**4 - 84*j**3 + 340*j**2 + 400*j = 0. What is j?
-4, -1, 0, 5
Solve 2*u**4 + 34*u**3 + 122*u**2 - 234*u - 324 = 0 for u.
-9, -1, 2
Determine n so that -3*n**2 - 78*n + 81 = 0.
-27, 1
Determine k, given that -9*k**5 - 79*k**4 - 198*k**3 - 96*k**2 + 32*k = 0.
-4, -1, 0, 2/9
Factor -3*c**4 + 6*c**3 + 9*c**2.
-3*c**2*(c - 3)*(c + 1)
What is p in -640*p**2 + 96*p - 18/5 = 0?
3/40
Suppose 3*z**5 + 27*z**4 + 15*z**3 - 87*z**2 - 126*z - 48 = 0. Calculate z.
-8, -1, 2
Factor -2*w**4/15 + 1352*w**3/15 - 227132*w**2/15 - 152776*w/5 - 76614/5.
-2*(w - 339)**2*(w + 1)**2/15
Factor c**5 - 40*c**4 + 142*c**3 + 84*c**2 - 423*c - 324.
(c - 36)*(c - 3)**2*(c + 1)**2
Determine l so that -3*l**3/5 + 6*l**2 - 39*l/5 - 72/5 = 0.
-1, 3, 8
Let 5*a**4 + 45*a**3 + 100*a**2 = 0. What is a?
-5, -4, 0
Solve -3*q**5/7 + 48*q**4/7 - 180*q**3/7 + 150*q**2/7 + 183*q/7 - 198/7 = 0 for q.
-1, 1, 2, 3, 11
Let 4*j**4 - 8*j**3 - 84*j**2 - 72*j = 0. Calculate j.
-3, -1, 0, 6
Solve 40*j**4/7 + 146*j**3/7 + 82*j**2/7 + 12*j/7 = 0.
-3, -2/5, -1/4, 0
Let 2*r**2/3 + 142*r/15 + 88/5 = 0. What is r?
-12, -11/5
Find i such that i**3/3 + 2*i**2 - 5*i + 8/3 = 0.
-8, 1
Suppose 5*c**2 + 830*c + 825 = 0. What is c?
-165, -1
Solve 2*b**5 - 4*b**4 - 38*b**3 - 56*b**2 - 24*b = 0.
-2, -1, 0, 6
Factor r**3/3 + 52*r**2/3 + 725*r/3 + 1250/3.
(r + 2)*(r + 25)**2/3
Factor 2*y**4 - 16*y**3 - 180*y**2 + 400*y + 3250.
2*(y - 13)*(y - 5)*(y + 5)**2
Suppose 45*l**2 + 237*l + 60 = 0. What is l?
-5, -4/15
Factor -2060*p**2 + 2068*p - 8.
-4*(p - 1)*(515*p - 2)
Solve -2*y**2 - 498*y = 0.
-249, 0
Factor -10*n**3 + 115*n**2 + 700*n + 320.
-5*(n - 16)*(n + 4)*(2*n + 1)
Find p such that 2*p**5/9 + 92*p**4/3 + 8954*p**3/9 - 13064*p**2/3 + 40328*p/9 = 0.
-71, 0, 2
Suppose 2*c**2/5 - 28*c/5 = 0. What is c?
0, 14
Factor d**3/5 + 306*d**2/5 + 31212*d/5 + 1061208/5.
(d + 102)**3/5
Factor 38*r**2/7 + 688*r/7 + 72/7.
2*(r + 18)*(19*r + 2)/7
Let 3*c**3 - 18*c**2 - 45*c - 24 = 0. Calculate c.
-1, 8
Determine f, given that 19*f**2/2 - 17*f/2 - 1 = 0.
-2/19, 1
Determine o, given that -4*o**5 + 60*o**4 - 244*o**3 + 84*o**2 + 392*o = 0.
-1, 0, 2, 7
Factor m**2/6 - 83*m/6 - 85/3.
(m - 85)*(m + 2)/6
Find r such that -5*r**2 - 55*r - 50 = 0.
-10, -1
Determine d, given that 3*d**5 - 24*d**4 + 39*d**3 + 66*d**2 - 96*d - 96 = 0.
-1, 2, 4
Factor 27*r**2/7 - 24*r/7 - 60/7.
3*(r - 2)*(9*r + 10)/7
What is u in 5*u**3 - 155*u**2 + 1600*u - 5500 = 0?
10, 11
Factor k**4/4 - 3*k**3/4 - 15*k**2 - 25*k.
k*(k - 10)*(k + 2)*(k + 5)/4
Solve -25*y**3 + 245*y**2 + 650*y + 120 = 0.
-2, -1/5, 12
Suppose -5*n**4 + 35*n**3 - 70*n**2 + 40*n = 0. Calculate n.
0, 1, 2, 4
Factor v**4/3 - 2*v**3/3 - 55*v**2/3 - 88*v/3 + 48.
(v - 9)*(v - 1)*(v + 4)**2/3
Factor -5*c**2/3 - 6320*c/3 - 1997120/3.
-5*(c + 632)**2/3
Factor 3*j**2/2 - 27*j/2 + 12.
3*(j - 8)*(j - 1)/2
Factor -5*s**2 - 245*s.
-5*s*(s + 49)
Let -2*u**5/13 + 58*u**4/13 - 174*u**3/13 - 730*u**2/13 + 1904*u/13 + 2400/13 = 0. What is u?
-3, -1, 4, 25
Factor -j**3 + 8*j**2/3 + 35*j/3.
-j*(j - 5)*(3*j + 7)/3
What is j in -j**5/2 - 16*j**4 - 126*j**3 - 371*j**2 - 851*j/2 - 165 = 0?
-22, -5, -3, -1
Factor 4*i**4 + 48*i**3 + 144*i**2 - 128*i - 768.
4*(i - 2)*(i + 4)**2*(i + 6)
Factor 3*i**3 - 1164*i**2 + 112908*i.
3*i*(i - 194)**2
Factor c**4 - 291*c**3 - 585*c**2 - 293*c.
c*(c - 293)*(c + 1)**2
Determine h, given that -h**3/3 - h**2 - h - 1/3 = 0.
-1
Solve -b**5/7 - b**4/7 + 22*b**3/7 - 44*b**2/7 + 24*b/7 = 0.
-6, 0, 1, 2
Factor 2*w**5 + 16*w**4 + 10*w**3 - 28*w**2.
2*w**2*(w - 1)*(w + 2)*(w + 7)
Factor -v**4/6 + v**2/2 + v/3.
-v*(v - 2)*(v + 1)**2/6
Factor 2*b**4/9 + 8*b**3/9 + 2*b**2/3.
2*b**2*(b + 1)*(b + 3)/9
What is p in 5*p**2 - 1035*p + 5050 = 0?
5, 202
Find j, given that -j**3/4 - 3*j**2/4 + j/4 + 3/4 = 0.
-3, -1, 1
Factor s**2/2 - 7*s - 15/2.
(s - 15)*(s + 1)/2
Factor 3*n**2 - 115*n + 38.
(n - 38)*(3*n - 1)
Determine n, given that -n**3 + 12*n + 16 = 0.
-2, 4
Suppose 2*d**3 + 18*d**2 - 20*d = 0. What is d?
-10, 0, 1
Factor a**5 - 10*a**4 - 66*a**3 - 128*a**2 - 103*a - 30.
(a - 15)*(a + 1)**3*(a + 2)
Factor -2*l**2/9 - 22*l/3 - 48.
-2*(l + 9)*(l + 24)/9
Factor -r**5/4 - r**4/2 + 3*r**3/4 + r**2 - r.
-r*(r - 1)**2*(r + 2)**2/4
Solve 4*z**3 - 1284*z**2 = 0.
0, 321
Let 3*y**4/4 - 337*y**3/4 - 2341*y**2/4 - 4623*y/4 - 1071/2 = 0. Calculate y.
-3, -2/3, 119
Find x, given that -2*x**2/13 + 76*x/13 + 630/13 = 0.
-7, 45
Factor -6*u**2 + 308*u/13 + 16/13.
-2*(u - 4)*(39*u + 2)/13
Suppose 8*m**4 - 197*m**2/2 + 225*m/2 - 22 = 0. Calculate m.
-4, 1/4, 1, 11/4
Solve 16*s**5/3 - 4*s**4/3 - 32*s**3/3 + 8*s**2/3 + 16*s/3 - 4/3 = 0.
-1, 1/4, 1
Solve -2*h**4 - 8*h**3 + 10*h**2 = 0 for h.
-5, 0, 1
Solve -5*h**3 + 180*h**2 + 575*h + 390 = 0 for h.
-2, -1, 39
Solve -2*v**4/3 + 2*v**2 + 4*v/3 = 0.
-1, 0, 2
Determine a, given that -a**5/6 + 3*a**4/2 - 4*a**3/3 = 0.
0, 1, 8
Factor 49*s**4 - 1050*s**3 + 417*s**2 + 500*s + 84.
(s - 21)*(s - 1)*(7*s + 2)**2
Solve -16*w**5 + 84*w**4 + 1980*w**3 + 5500*w**2 - 1500*w = 0 for w.
-5, 0, 1/4, 15
Factor w**3/7 + 5*w**2/7 - 24*w/7.
w*(w - 3)*(w + 8)/7
Factor 28*s**4 - 216*s**3 - 316*s**2 - 72*s.
4*s*(s - 9)*(s + 1)*(7*s + 2)
Factor 12*j**5/5 + 156*j**4/5 + 507*j**3/5.
3*j**3*(2*j + 13)**2/5
Factor 512*t**4 - 640*t**3 + 288*t**2 - 56*t + 4.
4*(2*t - 1)*(4*t - 1)**3
Factor l**4/6 - 353*l**3/6 + 6903*l**2 - 800630*l/3 - 821516/3.
(l - 118)**3*(l + 1)/6
Determine s, given that -29*s**5/2 + 27*s**4/2 + 31*s**3/2 - 27*s**2/2 - s = 0.
-1, -2/29, 0, 1
Solve 2*t**2/17 + 38*t/17 - 84/17 = 0.
-21, 2
What is z in 35*z**4 + 4105*z**3 - 7125*z**2 + 1795*z + 1190 = 0?
-119, -2/7, 1
Find n, given that -3*n**4/2 + 13*n**3 - 109*n**2/6 - 130*n/3 - 50/3 = 0.
-2/3, 5
Factor -v**3/3 - 5*v**2/3 - 2*v/3 + 8/3.
-(v - 1)*(v + 2)*(v + 4)/3
Factor 3*f**2/4 + 36*f + 432.
3*(f + 24)**2/4
Suppose -2*c**3/9 + 4*c**2/3 + 50*c/9 + 4 = 0. What is c?
-2, -1, 9
Solve -162*f**5/7 - 6066*f**4/7 - 3506*f**3 - 3722*f**2 - 8208*f/7 - 792/7 = 0.
-33, -3, -1, -2/9
Factor 3*c**2/2 + 9*c/2 - 60.
3*(c - 5)*(c + 8)/2
Suppose 4*x**4 - 60*x**3 - 584*x**2 - 768*x + 1408 = 0. Wh