 15
Factor -4*z**3 - 60*z**2 - 288*z - 432.
-4*(z + 3)*(z + 6)**2
Suppose 5*f**4 + 10*f**3 - 75*f**2 - 160*f - 80 = 0. What is f?
-4, -1, 4
Factor -2*d**2/5 - 4*d/5.
-2*d*(d + 2)/5
Factor -2*t**3 + 36*t**2 + 542*t + 504.
-2*(t - 28)*(t + 1)*(t + 9)
Find x, given that -x**4/2 - 403*x**3/2 - 1203*x**2/2 - 1201*x/2 - 200 = 0.
-400, -1
Solve -2*u**2/7 + 120*u/7 + 122/7 = 0 for u.
-1, 61
Factor 5*p**3 + 30*p**2 - 75*p + 40.
5*(p - 1)**2*(p + 8)
Factor y**3/5 + 237*y**2/5.
y**2*(y + 237)/5
Find d such that 14*d**4/13 - 3238*d**3/13 - 2324*d**2/13 + 928*d/13 = 0.
-1, 0, 2/7, 232
Let k**4/2 - 145*k**3/6 + 541*k**2/2 + 1075*k/2 - 625/3 = 0. Calculate k.
-2, 1/3, 25
Factor -r**4 + 117*r**3 - 345*r**2 + 343*r - 114.
-(r - 114)*(r - 1)**3
Solve f**4/6 - 29*f**3/6 + 9*f**2/2 + 29*f/6 - 14/3 = 0 for f.
-1, 1, 28
Factor -4*h**4 + 1392*h**3 - 181656*h**2 + 10536048*h - 229159044.
-4*(h - 87)**4
Find o, given that -2*o**4 + 36*o**3 - 146*o**2 + 216*o - 104 = 0.
1, 2, 13
Determine l so that -3*l**5/4 + 5*l**4/2 + l**3/2 - 4*l**2 + l/4 + 3/2 = 0.
-1, -2/3, 1, 3
Determine z, given that -2*z**4 + 94*z**3/5 - 266*z**2/5 + 242*z/5 - 12 = 0.
2/5, 1, 3, 5
Factor 2*u**2 - 320*u - 648.
2*(u - 162)*(u + 2)
Factor 3*d**4/2 + 9*d**3 - 9*d**2/2 - 30*d - 18.
3*(d - 2)*(d + 1)**2*(d + 6)/2
Factor 3*g**4/4 + 99*g**3/2 - 417*g**2/4 - 153*g.
3*g*(g - 3)*(g + 1)*(g + 68)/4
What is y in 4*y**5 - 420*y**4 + 13212*y**3 - 95884*y**2 - 555840*y - 615600 = 0?
-2, 19, 45
Determine o so that 2*o**4/13 - 12*o**3/13 + 14*o**2/13 + 12*o/13 - 16/13 = 0.
-1, 1, 2, 4
Factor t**3/2 + 61*t**2/2 + 855*t/2 + 3483/2.
(t + 9)**2*(t + 43)/2
Suppose -4*z**4/3 - 10*z**3/3 + 10*z/3 + 4/3 = 0. Calculate z.
-2, -1, -1/2, 1
Determine d, given that -d**3/5 + 1061*d**2/5 + d/5 - 1061/5 = 0.
-1, 1, 1061
Factor q**2/8 - 29*q/8 + 25/2.
(q - 25)*(q - 4)/8
Determine v so that 3*v**2/5 + 2724*v/5 + 2721/5 = 0.
-907, -1
Suppose -x**3/5 - 11*x**2/5 + x/5 + 11/5 = 0. What is x?
-11, -1, 1
Factor -w**4/2 + 15*w**3/2 - 33*w**2 + 58*w - 36.
-(w - 9)*(w - 2)**3/2
Let -i**2 + 3072*i - 6140 = 0. Calculate i.
2, 3070
Suppose 17*j**4 + 15*j**3 - 19*j**2 - 15*j + 2 = 0. What is j?
-1, 2/17, 1
Let 2*z**5 - 316*z**4/5 - 498*z**3/5 + 1132*z**2/5 + 1832*z/5 + 528/5 = 0. Calculate z.
-2, -1, -2/5, 2, 33
Let 2*t**2 - 136*t/5 - 56/5 = 0. What is t?
-2/5, 14
Find l, given that 5*l**2 + 1315*l = 0.
-263, 0
Factor 2*z**5/9 - 16*z**4/9 + 4*z**3 - 32*z**2/9 + 10*z/9.
2*z*(z - 5)*(z - 1)**3/9
Determine c so that -5*c**2 + 2940*c - 432180 = 0.
294
Factor -4*h**4/9 - 14*h**3/9 - 8*h**2/9 + 8*h/9.
-2*h*(h + 2)**2*(2*h - 1)/9
Factor -3*w**2/2 - 21*w/2 + 27.
-3*(w - 2)*(w + 9)/2
Find o, given that -5*o**2 - 265*o - 2460 = 0.
-41, -12
Factor 5*t**2 + 2240*t + 250880.
5*(t + 224)**2
Factor -u**4/7 - 3*u**3/7 + 18*u**2/7 - 4*u/7 - 24/7.
-(u - 2)**2*(u + 1)*(u + 6)/7
Factor u**3/7 + 113*u**2/7 + 464*u + 448.
(u + 1)*(u + 56)**2/7
Factor -7*f**4/3 - 46*f**3/3 + 77*f**2/3 - 8*f.
-f*(f - 1)*(f + 8)*(7*f - 3)/3
Let -2*o**5/5 + 82*o**4/5 - 704*o**3/5 - 2896*o**2/5 - 352*o/5 + 3872/5 = 0. What is o?
-2, 1, 22
Determine c, given that -c**5 + 9*c**4 + 6*c**3 - 190*c**2 + 75*c + 1125 = 0.
-3, 5
Solve -b**3 - 3*b**2 + 24*b - 28 = 0 for b.
-7, 2
Solve 35*q**5 + 2160*q**4 + 3545*q**3 - 3360*q**2 - 3580*q + 1200 = 0 for q.
-60, -2, -1, 2/7, 1
Factor -2*k**2/7 - 90*k + 3852/7.
-2*(k - 6)*(k + 321)/7
Suppose -4*x**4/5 - 62*x**3/5 - 204*x**2/5 - 238*x/5 - 92/5 = 0. Calculate x.
-23/2, -2, -1
Factor 5*g**3 - 90*g**2 - 465*g + 550.
5*(g - 22)*(g - 1)*(g + 5)
Determine d so that -2*d**3 + 8*d**2 + 6*d - 36 = 0.
-2, 3
Determine g, given that -4*g**2/7 + 76*g/7 - 72/7 = 0.
1, 18
Suppose 3*n**5/2 + 669*n**4/2 - 675*n**3/2 - 669*n**2/2 + 336*n = 0. Calculate n.
-224, -1, 0, 1
Factor 2*o**3 - 24*o**2 - 182*o + 204.
2*(o - 17)*(o - 1)*(o + 6)
Determine w so that 4*w**5 + 16*w**4 - 300*w**3 - 632*w**2 - 320*w = 0.
-10, -1, 0, 8
Factor 5*n**2 + 1705*n - 1710.
5*(n - 1)*(n + 342)
Suppose a**3/4 + 7*a**2/4 + 7*a/2 + 2 = 0. Calculate a.
-4, -2, -1
What is x in 2*x**2/11 - 3324*x/11 + 1381122/11 = 0?
831
Factor 4*w**4 + 2256*w**3.
4*w**3*(w + 564)
Determine g so that 338*g**2/17 + 156*g/17 + 18/17 = 0.
-3/13
Suppose -325*n**3 - 595*n**2 - 315*n - 45 = 0. Calculate n.
-1, -3/5, -3/13
Factor -2*b**4 - 308*b**3 - 9506*b**2 + 181104*b - 691488.
-2*(b - 7)**2*(b + 84)**2
What is w in -158*w**3 - 2*w**2 + 158*w + 2 = 0?
-1, -1/79, 1
Factor -2*h**3 - 94*h**2 - 1056*h + 1152.
-2*(h - 1)*(h + 24)**2
Factor -3*o**5 + 165*o**4 + 15*o**3 - 58485*o**2 - 558600*o - 1485876.
-3*(o - 38)**2*(o + 7)**3
Find g such that g**5 + 587*g**4/9 + 9922*g**3/9 + 11392*g**2/9 + 2048*g/9 = 0.
-32, -1, -2/9, 0
Solve -3*y**5 - 207*y**4 - 2214*y**3 - 9558*y**2 - 18711*y - 13851 = 0 for y.
-57, -3
Suppose -2*c**2/5 - 5176*c/5 - 3348872/5 = 0. Calculate c.
-1294
Factor 2*x**5/9 - 4*x**3/9 + 2*x/9.
2*x*(x - 1)**2*(x + 1)**2/9
Factor 3*w**4 + 99*w**3 - 9*w**2 - 303*w - 198.
3*(w - 2)*(w + 1)**2*(w + 33)
Determine k so that -14*k**4/17 + 20*k**3/17 + 8*k**2/17 - 20*k/17 + 6/17 = 0.
-1, 3/7, 1
Suppose j**4/9 + 5*j**3/9 + 4*j**2/9 = 0. Calculate j.
-4, -1, 0
Factor -9*j**3/4 - 749*j**2/4 - 83*j/2.
-j*(j + 83)*(9*j + 2)/4
Factor -2*l**4/3 + 46*l**3/3.
-2*l**3*(l - 23)/3
Suppose d**3/2 + 12*d**2 - d/2 - 12 = 0. Calculate d.
-24, -1, 1
Let 2*h**2 + 320*h = 0. What is h?
-160, 0
Determine k, given that -2*k**2 + 2192*k - 600608 = 0.
548
Let -2*a**4 - 40*a**3 + 6*a**2 + 124*a + 80 = 0. What is a?
-20, -1, 2
Factor -3*p**5/4 + 453*p**4 + 3633*p**3/4 + 909*p**2/2.
-3*p**2*(p - 606)*(p + 1)**2/4
What is c in -75*c**5/8 + 15*c**4/2 + 1413*c**3/8 - 1695*c**2/4 + 507*c/2 - 45 = 0?
-5, 2/5, 2, 3
Find f, given that 14*f**3/15 - 34*f**2/5 + 112*f/15 - 8/5 = 0.
2/7, 1, 6
Let 2*a**5/9 - 8*a**4/9 + 2*a**3/9 + 4*a**2/3 = 0. What is a?
-1, 0, 2, 3
Let 2*z**2/9 + 4*z/3 + 2 = 0. What is z?
-3
Let -3*r**4 + 15*r**3 + 12*r**2 - 60*r = 0. Calculate r.
-2, 0, 2, 5
Factor 2*o**4/5 - 16*o**3/5 - 8*o**2.
2*o**2*(o - 10)*(o + 2)/5
Factor 4*w**4 - 600*w**3 + 21876*w**2 + 48032*w - 69312.
4*(w - 76)**2*(w - 1)*(w + 3)
Suppose -q**2 - 92*q - 91 = 0. Calculate q.
-91, -1
Factor n**5 + 79*n**4 + 2179*n**3 + 23425*n**2 + 70000*n + 62500.
(n + 2)**2*(n + 25)**3
Find o such that -5*o**3 - 130*o**2 - 845*o = 0.
-13, 0
Factor -5*u**4 + 105*u**3 + 350*u**2 + 240*u.
-5*u*(u - 24)*(u + 1)*(u + 2)
Suppose 2*k**5 + 58*k**4 - 326*k**3 + 470*k**2 - 204*k = 0. What is k?
-34, 0, 1, 3
Factor -3*b**4 + 495*b**3 + 999*b**2 + 501*b.
-3*b*(b - 167)*(b + 1)**2
Factor 4*b**2 - 60*b + 200.
4*(b - 10)*(b - 5)
Find m, given that -4*m**3/7 - 7688*m**2/7 - 3694084*m/7 = 0.
-961, 0
Factor -p**4 + 3*p**2 + 2*p.
-p*(p - 2)*(p + 1)**2
Factor -28*r**3 + 9248*r**2 - 764940*r + 217800.
-4*(r - 165)**2*(7*r - 2)
Factor -m**3 - 7*m**2 - 10*m.
-m*(m + 2)*(m + 5)
Factor o**5 + 169*o**4 + 7551*o**3 + 34771*o**2 + 47560*o + 20172.
(o + 1)**2*(o + 3)*(o + 82)**2
Factor 3*p**3/4 + 93*p**2/4.
3*p**2*(p + 31)/4
Factor -5*z**3 + 310*z**2 - 1725*z + 2520.
-5*(z - 56)*(z - 3)**2
Factor 2*n**2 + 13804*n + 23818802.
2*(n + 3451)**2
Factor z**5/2 - 5*z**4 + 4*z**3 + 5*z**2 - 9*z/2.
z*(z - 9)*(z - 1)**2*(z + 1)/2
Factor -4*r**2 + 80*r - 204.
-4*(r - 17)*(r - 3)
Factor -15*c**5 + 24*c**4 - 3*c**3 - 6*c**2.
-3*c**2*(c - 1)**2*(5*c + 2)
Find t such that t**3 + 1809*t**2 + 819024*t + 817216 = 0.
-904, -1
Let -5*q**5 - 20*q**4 + 35*q**3 + 170*q**2 - 60*q - 360 = 0. Calculate q.
-3, -2, 2
Determine g so that 3*g**5 - 129*g**4 + 237*g**3 + 381*g**2 - 480*g - 492 = 0.
-1, 2, 41
Factor 3*o**3 - 30*o**2 + 51*o - 24.
3*(o - 8)*(o - 1)**2
Factor -363*t**2 + 2112*t - 3072.
-3*(11*t - 32)**2
Determine a so that 2*a**3/3 - 44*a**2/3 - 170*a/3 + 500/3 = 0.
-5, 2, 25
Determine b so that 15*b**3 + 501*b**2 + 1128*b + 372 = 0.
-31, -2, -2/5
Factor -2*w**4 + 28*w**3 - 114*w**2 + 152*w - 64.
-2*(w - 8)*(w - 4)*(w - 1)**2
Determine g, given that 20*g**5 + 2480*g**4 + 9705*g**3 + 12655*g**2 + 6610*g + 1200 = 0.
-120, -2, -1, -1/2
Factor 4*b**4 + 7*b**3 - 34*b**2 + 8*b.
b*(b - 2)*(b + 4)*(4*b - 1)
Find d, given that 2*d**5/15 - 8*d**4/3 - 2*d**3/5 + 116*d**2/15 + 16*d/3 = 0.
-1, 0, 2, 20
Factor 2*t**3 - 80*t**2 + 154*t - 76.
2*(t - 38)*(t - 1)**2
Find d such that -d**3/2 - 774*d**2 - 299538*d = 0.
-774, 0
Determine 