0912 = 0. Calculate k.
-548
Let -2*j**4 + 348*j**3 - 15138*j**2 = 0. What is j?
0, 87
Let d**3/5 - 4*d**2 + 19*d/5 = 0. What is d?
0, 1, 19
Find d such that -6*d**5 - 165*d**4/2 - 141*d**3/2 + 165*d**2/2 + 153*d/2 = 0.
-51/4, -1, 0, 1
Factor -3*p**2/4 + 75*p/2 - 138.
-3*(p - 46)*(p - 4)/4
Suppose 2*j**2/15 - 28*j/15 + 98/15 = 0. What is j?
7
Suppose -13*u**2/10 - 41*u/5 - 12/5 = 0. What is u?
-6, -4/13
Let -14*l**5 + 326*l**4 - 2066*l**3 + 1642*l**2 + 3080*l - 968 = 0. Calculate l.
-1, 2/7, 2, 11
Factor -k**2/5 + 106*k/5 - 2809/5.
-(k - 53)**2/5
Let 5*a**4 + 30*a**3 + 15*a**2 - 50*a = 0. What is a?
-5, -2, 0, 1
Let -15*f**5 + 190*f**4 + 220*f**3 - 190*f**2 - 205*f = 0. Calculate f.
-1, 0, 1, 41/3
Factor -4*u**2 - 276*u + 280.
-4*(u - 1)*(u + 70)
Determine l, given that -5*l**5 - 155*l**4 + 1065*l**3 - 1665*l**2 = 0.
-37, 0, 3
Solve 4*q**2 - 576*q - 580 = 0 for q.
-1, 145
Find x, given that -4*x**3 + 48*x**2 + 112*x = 0.
-2, 0, 14
Let -11*v**5 - 146*v**4/7 + 6*v**3/7 + 124*v**2/7 + 31*v/7 - 18/7 = 0. What is v?
-1, 2/7, 9/11
Factor 5*y**2/4 - 1655*y - 6625/4.
5*(y - 1325)*(y + 1)/4
Factor 444107667*z**5/7 - 449144805*z**4/7 + 5056182*z**3/7 - 2724*z**2 + 24*z/7.
3*z*(z - 1)*(529*z - 2)**3/7
Factor 2*u**5/5 - 88*u**4/5 + 86*u**3/5.
2*u**3*(u - 43)*(u - 1)/5
Factor d**3/5 - 23*d**2/5 - 78*d/5.
d*(d - 26)*(d + 3)/5
Factor -4*j**4 + 184*j**3 - 1712*j**2 - 9400*j - 7500.
-4*(j - 25)**2*(j + 1)*(j + 3)
Find a such that a**5/10 + a**4/2 + 3*a**3/10 - 17*a**2/10 - 14*a/5 - 6/5 = 0.
-3, -2, -1, 2
Let -3*u**4 + 27*u**3 - 72*u**2 + 60*u = 0. Calculate u.
0, 2, 5
Solve -4*y**2 + 24*y + 28 = 0.
-1, 7
Factor 4*s**3 - 972*s**2 + 71232*s - 1393264.
4*(s - 106)**2*(s - 31)
Factor -5*b**4/4 - 75*b**3/2 - 1125*b**2/4.
-5*b**2*(b + 15)**2/4
Factor w**2/4 - 5*w/2 + 4.
(w - 8)*(w - 2)/4
Find t such that -t**3/3 - 25*t**2/3 - 43*t/3 + 23 = 0.
-23, -3, 1
Factor -5*j**3/6 + 40*j**2/3 - 65*j/6 - 25.
-5*(j - 15)*(j - 2)*(j + 1)/6
Determine p, given that 2*p**5/11 + 114*p**4/11 + 106*p**3/11 - 346*p**2/11 - 564*p/11 - 224/11 = 0.
-56, -1, 2
Factor w**4/8 - 107*w**3/4 + 12661*w**2/8 - 32421*w/2 + 91809/2.
(w - 101)**2*(w - 6)**2/8
Determine j so that j**3 + 300*j**2 + 2925*j + 7250 = 0.
-290, -5
Let -v**3/4 + 47*v**2 - 2209*v = 0. What is v?
0, 94
Factor r**3 + 5*r**2 + 8*r + 4.
(r + 1)*(r + 2)**2
Find h, given that 5*h**3 + 20*h**2 - 175*h - 750 = 0.
-5, 6
Solve 5*x**5 - 85*x**4 + 345*x**3 + 85*x**2 - 350*x = 0.
-1, 0, 1, 7, 10
What is s in 4*s**5/7 + 118*s**4/7 + 408*s**3/7 - 6714*s**2/7 + 14904*s/7 - 5832/7 = 0?
-18, 1/2, 3
Solve -g**3 + 6*g**2 - 9*g = 0 for g.
0, 3
Factor 4*j**3/7 - 4*j/7.
4*j*(j - 1)*(j + 1)/7
Suppose 4*s**3 + 200*s**2 + 900*s = 0. Calculate s.
-45, -5, 0
Let v**4/4 - v**3 - 13*v**2/4 + v + 3 = 0. What is v?
-2, -1, 1, 6
Factor -2*a**3/9 - 28*a**2/9 + 170*a/3 + 800.
-2*(a - 16)*(a + 15)**2/9
Factor 15*f**2 + 981*f + 390.
3*(f + 65)*(5*f + 2)
Factor 3*l**3 - 85*l**2 + 26*l + 56.
(l - 28)*(l - 1)*(3*l + 2)
Factor -4*f**4 - 324*f**3 - 636*f**2 - 316*f.
-4*f*(f + 1)**2*(f + 79)
Solve 2*i**5/3 - 2*i**4 + 4*i**3/3 + 4*i**2/3 - 2*i + 2/3 = 0 for i.
-1, 1
Factor 19*h**4 - 39*h**3 - 74*h**2 + 156*h - 8.
(h - 2)**2*(h + 2)*(19*h - 1)
Factor 2*s**4/11 - 40*s**3/11 + 38*s**2/11.
2*s**2*(s - 19)*(s - 1)/11
Suppose -34*i**5/7 - 166*i**4/7 + 2502*i**3/7 - 4610*i**2/7 + 364*i - 240/7 = 0. What is i?
-12, 2/17, 1, 5
Factor y**4/10 - 1548*y**3/5 + 319197*y**2 - 546349568*y/5 - 3306908811/10.
(y - 1033)**3*(y + 3)/10
Find l, given that l**5/2 + 3*l**4 - 11*l**3/2 - 30*l**2 + 50*l = 0.
-5, 0, 2
Factor -31*f**2/5 + 12*f + 4/5.
-(f - 2)*(31*f + 2)/5
Determine v, given that 2*v**5/7 - 6*v**4 + 40*v**3/7 = 0.
0, 1, 20
Factor -z**2/3 - 458*z/3 - 457/3.
-(z + 1)*(z + 457)/3
Factor -2*m**3 - 652*m**2 + 1982*m + 2632.
-2*(m - 4)*(m + 1)*(m + 329)
Factor 14*u**3 + 54*u**2 + 34*u - 6.
2*(u + 1)*(u + 3)*(7*u - 1)
Factor 2*b**2/3 + 58*b.
2*b*(b + 87)/3
Suppose 80*m**4 + 184*m**3 - 51*m**2 - 203*m - 10 = 0. Calculate m.
-2, -5/4, -1/20, 1
Factor -2*i**4 - 6*i**3 + 66*i**2 - 106*i + 48.
-2*(i - 3)*(i - 1)**2*(i + 8)
Factor -4*z**3/9 - 200*z**2 - 1196*z/3 - 1792/9.
-4*(z + 1)**2*(z + 448)/9
Suppose -h**4 - 3*h**3 + 4*h**2 = 0. Calculate h.
-4, 0, 1
Determine l, given that -6*l**5/11 - 8*l**4/11 + 2*l**3 + 32*l**2/11 + 8*l/11 = 0.
-2, -1, -1/3, 0, 2
Factor 2*t**2/11 - 4892*t/11 - 4894/11.
2*(t - 2447)*(t + 1)/11
Suppose -n**3 + 20*n**2 - 128*n + 256 = 0. What is n?
4, 8
Let -c**2/5 - 13348*c/5 - 44542276/5 = 0. What is c?
-6674
Suppose -269*u**2/2 - 403*u + 3/2 = 0. What is u?
-3, 1/269
Factor 4*f**4 - 4*f**3 - 16*f**2 + 16*f.
4*f*(f - 2)*(f - 1)*(f + 2)
Solve -v**2 + 100*v + 101 = 0 for v.
-1, 101
Factor -100*s**3 + 430*s**2 - 489*s/4 + 9.
-(s - 4)*(20*s - 3)**2/4
Factor -g**5/7 + 5*g**4/7 - 9*g**3/7 + g**2 - 2*g/7.
-g*(g - 2)*(g - 1)**3/7
Let 2*c**5/7 + 132*c**4/7 - 554*c**3/7 + 428*c**2/7 + 552*c/7 - 80 = 0. Calculate c.
-70, -1, 1, 2
Let 3*g**4 + 105*g**3 + 615*g**2 - 945*g - 1458 = 0. What is g?
-27, -9, -1, 2
What is k in -k**3 - 19*k**2 + 70*k + 88 = 0?
-22, -1, 4
Factor -k**2/7 + 31*k/7 - 12.
-(k - 28)*(k - 3)/7
Determine t so that 2*t**4/9 + 4*t**3/9 - 6*t**2 + 104*t/9 - 56/9 = 0.
-7, 1, 2
Let p**5/5 + 38*p**4/5 + 21*p**3 = 0. What is p?
-35, -3, 0
Find v such that v**5/9 + 4*v**4/3 + 5*v**3 + 6*v**2 = 0.
-6, -3, 0
Factor -5*m**3 + 160*m**2 - 155*m.
-5*m*(m - 31)*(m - 1)
Solve -3*h**3 + 8646*h**2 - 6229443*h = 0.
0, 1441
Find p such that -14*p**2 + 282*p - 40 = 0.
1/7, 20
Factor -2*p**3/5 + 4818*p**2/5 - 3868854*p/5 + 1035563254/5.
-2*(p - 803)**3/5
Factor 5*m**5 + 175*m**4 - 1230*m**3.
5*m**3*(m - 6)*(m + 41)
Factor 5*s**3 + 15*s**2 - 5*s - 15.
5*(s - 1)*(s + 1)*(s + 3)
Factor i**2/3 - 946*i/3 + 223729/3.
(i - 473)**2/3
Factor -t**2 - 51*t - 578.
-(t + 17)*(t + 34)
Factor 5*r**2 - 4205*r.
5*r*(r - 841)
Solve -2*w**5 + 14*w**4 - 14*w**3 - 38*w**2 + 32*w + 40 = 0 for w.
-1, 2, 5
Factor 7*u**4/4 - 3*u**3 + 3*u**2/4 + u/2.
u*(u - 1)**2*(7*u + 2)/4
Let 22*n**4/7 + 356*n**3/7 + 1494*n**2/7 + 1360*n/7 + 200/7 = 0. What is n?
-10, -5, -1, -2/11
Find b such that 49*b**3/4 - 2233*b**2/4 + 316*b - 45 = 0.
2/7, 45
Determine c so that -4*c**3 + 53*c**2 - 61*c + 12 = 0.
1/4, 1, 12
Suppose -34*h**3/5 - 14*h**2 - 38*h/5 - 2/5 = 0. What is h?
-1, -1/17
Suppose 5445*k**5 + 153087*k**4/4 + 1895*k**3/4 - 8591*k**2/2 + 481*k - 14 = 0. Calculate k.
-7, -2/5, 2/33, 1/4
Factor -b**4 + 649*b**3 - 140616*b**2 + 10217664*b - 10077696.
-(b - 216)**3*(b - 1)
Factor -10*o**3 - 45*o**2 - 60*o - 20.
-5*(o + 2)**2*(2*o + 1)
Let -5*u**4 - 45*u**3 + 5*u**2 + 45*u = 0. Calculate u.
-9, -1, 0, 1
Let -8*z**3/13 - 102*z**2/13 + 158*z/13 + 252/13 = 0. Calculate z.
-14, -1, 9/4
Factor l**3/2 + 54*l**2 + 107*l/2.
l*(l + 1)*(l + 107)/2
Factor 2*w**5/3 - 448*w**4/3 + 1772*w**3/3 - 2648*w**2/3 + 1762*w/3 - 440/3.
2*(w - 220)*(w - 1)**4/3
Find u such that u**4/5 - 2*u**3 - 164*u**2/5 + 72*u = 0.
-10, 0, 2, 18
Factor g**2/6 - 141*g/2 - 1724/3.
(g - 431)*(g + 8)/6
Factor -4*g**3 + 216*g**2 + 2460*g + 6400.
-4*(g - 64)*(g + 5)**2
Factor -r**3/3 - 6*r**2 - 36*r - 72.
-(r + 6)**3/3
Determine p, given that 3*p**2 - 15*p - 72 = 0.
-3, 8
Factor 33*s**2 - 1074*s + 576.
3*(s - 32)*(11*s - 6)
Let 4*q**3 - 8*q**2 - 896*q = 0. What is q?
-14, 0, 16
Let 2*r**3 + 484*r**2 = 0. Calculate r.
-242, 0
Find h such that -175*h**3 - 180*h**2 + 25*h + 30 = 0.
-1, -3/7, 2/5
Factor 2*y**4 - 16*y**3 + 12*y**2 + 16*y - 14.
2*(y - 7)*(y - 1)**2*(y + 1)
Determine c, given that 2*c**5/9 + 2*c**4 - 44*c**3/9 + 4*c**2/9 + 14*c/3 - 22/9 = 0.
-11, -1, 1
Factor 2*s**2/11 + 196*s/11.
2*s*(s + 98)/11
Factor -t**4 - 3*t**3 + 2*t**2 + 12*t + 8.
-(t - 2)*(t + 1)*(t + 2)**2
Suppose -20*a**2 + 2204*a - 440 = 0. Calculate a.
1/5, 110
What is y in 36*y**2 + 72*y - 28 = 0?
-7/3, 1/3
Suppose 4*h**5 + 16*h**4 - 28*h**3 - 136*h**2 - 96*h = 0. What is h?
-4, -2, -1, 0, 3
Factor -2*x**3 - 168*x**2.
-2*x**2*(x + 84)
Suppose -2*z**2 - 54*z = 0. What is z?
-27, 0
Factor -5*k**3 - 1191*k**2 - 71043*k - 14161.
-(k + 119)**2*(5*k + 1)
Factor -q**2 + 69*q - 260.
-(q - 65)*(q - 4)
What is o in 2*o**3/7 + 10*o**2/7 + 6*o/7 - 18/7 = 0?
-3, 1
Factor 5*u**2/2 - 3015*u/2 - 7600.
5*(u - 608)*(u + 5)/2
Solve -4*s**5 + 32*s**4 - 88*s**3 + 112*s**2 - 68*s + 16 = 0 for s.
1, 4
Factor