5*(x + 910)**2
Determine k so that -k**4/2 - 2*k**3 + 9*k**2 - 10*k + 7/2 = 0.
-7, 1
Find p, given that -2*p**3/17 + 2676*p**2/17 - 10680*p/17 + 10672/17 = 0.
2, 1334
Solve -39*d**2/4 - 198*d - 60 = 0.
-20, -4/13
Determine h so that 6*h**4 + 87*h**3 + 36*h**2 - 87*h - 42 = 0.
-14, -1, -1/2, 1
Factor 67*r**5/4 - 271*r**4/2 + 414*r**3 - 572*r**2 + 316*r - 24.
(r - 2)**4*(67*r - 6)/4
Let -16*n**5/3 + 130*n**4/3 - 16*n**3 - 1276*n**2/3 + 1360*n/3 - 50 = 0. Calculate n.
-3, 1/8, 1, 5
Determine h, given that h**4/7 - 16*h**3/7 = 0.
0, 16
Solve -3*j**3 - 33*j**2 - 72*j + 108 = 0.
-6, 1
Find k such that 14*k**5/19 + 30*k**4/19 - 2*k**3 - 118*k**2/19 - 72*k/19 - 8/19 = 0.
-2, -1, -1/7, 2
Find c such that -3*c**5/8 - 9*c**4/8 + 33*c**3/8 + 9*c**2/8 - 15*c/4 = 0.
-5, -1, 0, 1, 2
Factor -2*k**5/7 + 2*k**4 - 12*k**3/7.
-2*k**3*(k - 6)*(k - 1)/7
Suppose 4*a**5 - 32*a**3 + 64*a = 0. Calculate a.
-2, 0, 2
Let -3*p**4 + 159*p**3 + 495*p**2 + 501*p + 168 = 0. Calculate p.
-1, 56
Solve -6*y**5/11 + 48*y**4/11 - 120*y**3/11 + 96*y**2/11 = 0.
0, 2, 4
Suppose -n**5/4 - 75*n**4/4 - 37*n**3/2 = 0. What is n?
-74, -1, 0
What is z in -2*z**2/3 - 51*z/2 + 39/2 = 0?
-39, 3/4
Find c, given that -2*c**3/5 + 24*c**2/5 - 22*c/5 = 0.
0, 1, 11
Factor -3*s**3 + 24*s**2 + 57*s + 30.
-3*(s - 10)*(s + 1)**2
What is b in -3*b**4/2 - 21*b**3/2 + 3*b**2/2 + 21*b/2 = 0?
-7, -1, 0, 1
Determine a so that 2*a**5/17 + 8*a**4/17 - 1284*a**3/17 - 152*a**2 + 12274*a = 0.
-19, 0, 17
Factor 2*u**2/3 - 20*u/3 - 22/3.
2*(u - 11)*(u + 1)/3
Solve 2*y**5/7 - 82*y**4/7 + 906*y**3/7 - 2246*y**2/7 + 2092*y/7 - 96 = 0 for y.
1, 14, 24
Find g, given that -2*g**3 - 68*g**2 - 130*g - 64 = 0.
-32, -1
Determine t, given that -5*t**5 - 50*t**4 - 140*t**3 - 50*t**2 + 145*t + 100 = 0.
-5, -4, -1, 1
Let 2*w**3/3 + 296*w**2/3 - 598*w/3 + 100 = 0. What is w?
-150, 1
Factor w**2/5 - 74*w/5 + 73/5.
(w - 73)*(w - 1)/5
Factor 5*b**2 - 42*b - 47.
(b + 1)*(5*b - 47)
Factor -4*a**2/3 + 4/3.
-4*(a - 1)*(a + 1)/3
Solve 3*x**5/2 - 276*x**4 + 13236*x**3 - 49680*x**2 + 48600*x = 0 for x.
0, 2, 90
Factor -2*o**3/3 + 2200*o**2/3 - 605000*o/3.
-2*o*(o - 550)**2/3
Factor -4*d**3 + 36*d**2 - 60*d + 28.
-4*(d - 7)*(d - 1)**2
Factor q**4/2 + 373*q**3/2 + 34595*q**2/2 - 34969*q/2.
q*(q - 1)*(q + 187)**2/2
Solve -5*t**5/8 + t**4/2 + 3*t**3/4 - t**2/2 - t/8 = 0.
-1, -1/5, 0, 1
Factor 5*f**3 - 345*f**2 - 2630*f - 2280.
5*(f - 76)*(f + 1)*(f + 6)
Factor 4*m**3 - 4*m**2 - 200*m - 192.
4*(m - 8)*(m + 1)*(m + 6)
Factor -4*b**2/3 - 19768*b/3 - 24423364/3.
-4*(b + 2471)**2/3
Solve 2*g**4/3 - 24*g**3 + 22*g**2 + 140*g/3 = 0 for g.
-1, 0, 2, 35
Determine u, given that 3*u**3/5 + 312*u**2/5 + 603*u/5 - 918/5 = 0.
-102, -3, 1
Determine n, given that -75*n**5 + 140*n**4 + 95*n**3 - 140*n**2 - 20*n = 0.
-1, -2/15, 0, 1, 2
Factor -3*n**2/4 - 39*n/4 + 21/2.
-3*(n - 1)*(n + 14)/4
Factor 2*d**3/9 + 110*d**2 + 41002*d/3 + 122018/9.
2*(d + 1)*(d + 247)**2/9
Suppose -w**4 - 39*w**3 - 294*w**2 - 736*w - 480 = 0. What is w?
-30, -4, -1
Factor -9*g**2 + 498*g + 336.
-3*(g - 56)*(3*g + 2)
Factor 3*m**2/7 - 9*m/7 - 120/7.
3*(m - 8)*(m + 5)/7
Factor -5*w**2 + 860*w - 855.
-5*(w - 171)*(w - 1)
Factor q**5 - 6*q**3 - 8*q**2 - 3*q.
q*(q - 3)*(q + 1)**3
Find g, given that 10*g**4 + 194*g**3 + 876*g**2 - 680*g - 400 = 0.
-10, -2/5, 1
Determine p, given that 4*p**2 - 1264*p + 99856 = 0.
158
Find s, given that 25*s**3/4 - 135*s**2/4 + 75*s/2 - 10 = 0.
2/5, 1, 4
Factor -4*k**2 + 5152*k - 1658944.
-4*(k - 644)**2
Solve -2*y**2/5 + 84*y/5 = 0.
0, 42
Suppose -4*x**5/7 - 60*x**4/7 + 4*x**3/7 + 1196*x**2/7 - 2592*x/7 + 208 = 0. Calculate x.
-13, -7, 1, 2
Factor 2*v**4/5 + 28*v**3/5 + 48*v**2/5.
2*v**2*(v + 2)*(v + 12)/5
Factor 6*v**4 + 20*v**3 - 2*v**2 - 24*v.
2*v*(v - 1)*(v + 3)*(3*v + 4)
Factor -c**2 - 1397*c/5 - 558/5.
-(c + 279)*(5*c + 2)/5
Find l, given that -2*l**2/15 + 68*l/3 + 688/15 = 0.
-2, 172
Find h, given that -4*h**3 + 40*h**2 + 348*h + 576 = 0.
-3, 16
Let 6*z**2/11 + 8436*z/11 + 2965254/11 = 0. What is z?
-703
Determine a, given that 6*a**5/11 + 4*a**4 + 104*a**3/11 + 84*a**2/11 + 18*a/11 = 0.
-3, -1, -1/3, 0
Solve -5*f**2 + 26070*f - 33982245 = 0.
2607
Determine x so that 2*x**5/5 - 248*x**4/5 + 7928*x**3/5 - 14636*x**2/5 - 1586*x + 14884/5 = 0.
-1, 1, 2, 61
Suppose -2*v**2 - 16*v = 0. What is v?
-8, 0
Suppose 2*m**3/3 - 226*m**2 + 25538*m - 2885794/3 = 0. What is m?
113
Factor 3*x**3/4 + 9*x**2/2 - 273*x/4.
3*x*(x - 7)*(x + 13)/4
Factor 3*u**2 - 69*u/5 - 6.
3*(u - 5)*(5*u + 2)/5
Let -20*x**2 + 355*x + 90 = 0. Calculate x.
-1/4, 18
Factor -5*o**4 - 887*o**3 - 354*o**2.
-o**2*(o + 177)*(5*o + 2)
Factor 35*g**3 - 15*g**2.
5*g**2*(7*g - 3)
Suppose 20*r**5 - 52*r**4 - 24*r**3 + 80*r**2 + 32*r = 0. Calculate r.
-1, -2/5, 0, 2
Factor -3*n**2 + 174*n - 2523.
-3*(n - 29)**2
Factor -5*h**3 + 3360*h**2 - 564480*h.
-5*h*(h - 336)**2
Determine w so that w**5 + 2*w**4 - 3*w**3 = 0.
-3, 0, 1
Factor -4*h**3 + 256*h**2 + 524*h + 264.
-4*(h - 66)*(h + 1)**2
Solve -s**3 + 234*s**2 - 18252*s + 474552 = 0 for s.
78
Find z such that -5*z**4 + 700*z**3 - 24495*z**2 - 700*z + 24500 = 0.
-1, 1, 70
Find v such that 2*v**2/7 + 132*v/7 - 134/7 = 0.
-67, 1
Factor -5*h**3 + 309*h**2 - 243*h - 61.
-(h - 61)*(h - 1)*(5*h + 1)
Factor 2*r**4 - 132*r**3 + 474*r**2 + 1352*r + 744.
2*(r - 62)*(r - 6)*(r + 1)**2
Find m, given that 4*m**3 - 96*m**2 + 68*m + 552 = 0.
-2, 3, 23
What is c in 3*c**2/2 - 15*c/2 - 225 = 0?
-10, 15
Factor -2*f**4 - 16*f**3 + 38*f**2 - 20*f.
-2*f*(f - 1)**2*(f + 10)
Factor 11*n**2/4 - 3727*n/4 - 339/2.
(n - 339)*(11*n + 2)/4
Factor -w**3/4 - 937*w**2/4 - 54990*w - 54756.
-(w + 1)*(w + 468)**2/4
Determine c, given that 2*c**2 + 35196*c + 154844802 = 0.
-8799
Find v such that -v**2 - 48*v + 49 = 0.
-49, 1
Factor -106*i**2/7 - 110*i/7 - 4/7.
-2*(i + 1)*(53*i + 2)/7
Factor -3*u**2 - 24*u.
-3*u*(u + 8)
Factor 2*a**3/3 + 12*a**2 - 134*a/3 - 56.
2*(a - 4)*(a + 1)*(a + 21)/3
Factor -5*q**2 - 1045*q - 2070.
-5*(q + 2)*(q + 207)
Find s, given that -s**2/9 - 11*s/9 - 10/3 = 0.
-6, -5
Let -5*n**5/2 - 19*n**4 + 121*n**3/2 - n**2 - 58*n + 20 = 0. What is n?
-10, -1, 2/5, 1, 2
Factor -4096*g**4 - 1792*g**3 + 1872*g**2 - 405*g + 27.
-(g + 1)*(16*g - 3)**3
What is z in -3*z**3/5 + 51*z**2/5 - 48*z/5 = 0?
0, 1, 16
Factor -3*n**4 - 33*n**3 - 99*n**2 - 15*n + 150.
-3*(n - 1)*(n + 2)*(n + 5)**2
Solve 2*w**2/7 - 2*w/7 - 180/7 = 0.
-9, 10
What is j in 15*j**5 + 115*j**4 - 250*j**3 - 650*j**2 - 165*j + 135 = 0?
-9, -1, 1/3, 3
Determine w, given that w**2 + w - 2 = 0.
-2, 1
Factor -3*j**4 + 3924*j**3 - 1279218*j**2 - 2570220*j - 1287075.
-3*(j - 655)**2*(j + 1)**2
Factor -v**2/2 + 86*v + 173/2.
-(v - 173)*(v + 1)/2
Suppose -3*t**2 - 294*t - 1128 = 0. Calculate t.
-94, -4
Factor -3*b**4 - 162*b**3 - 2487*b**2 - 8100*b - 7500.
-3*(b + 2)**2*(b + 25)**2
Let 5*i**2 - 210*i - 675 = 0. What is i?
-3, 45
Find w, given that -9*w**3/2 + 483*w**2 + 647*w/2 + 54 = 0.
-1/3, 108
Factor 3*t**2/4 - 345*t + 39675.
3*(t - 230)**2/4
Factor 4*l**3 + 120*l**2 - 1156*l + 2280.
4*(l - 5)*(l - 3)*(l + 38)
Determine n, given that -87*n**4/7 - 603*n**3/7 + 354*n**2 - 1908*n/7 + 120/7 = 0.
-10, 2/29, 1, 2
Solve -2*o**4/3 + 536*o**3/3 - 3556*o**2 + 73304*o/3 - 169442/3 = 0 for o.
7, 247
Factor -5*g**3 - 10*g**2 + 5*g + 10.
-5*(g - 1)*(g + 1)*(g + 2)
Let 2*g**5/5 - 224*g**4/5 + 6266*g**3/5 + 676*g**2/5 - 19264*g/5 + 12544/5 = 0. Calculate g.
-2, 1, 56
Factor -x**2 + 15*x - 14.
-(x - 14)*(x - 1)
Find d such that -2*d**5/9 - 82*d**4/3 - 8374*d**3/9 - 49658*d**2/9 - 8352*d - 33640/9 = 0.
-58, -5, -1
Suppose -d**4/2 + 100*d**3 - 10197*d**2/2 + 9801*d = 0. What is d?
0, 2, 99
Suppose -5*d**3 - 80*d**2 + 380*d - 400 = 0. Calculate d.
-20, 2
Let p**2/4 - 5*p + 75/4 = 0. What is p?
5, 15
Solve -4*t**2 + 72*t - 260 = 0.
5, 13
Let 4*p**2 - 152*p + 148 = 0. Calculate p.
1, 37
Factor -c**3/4 + 3*c**2/2 + 9*c/4 - 7/2.
-(c - 7)*(c - 1)*(c + 2)/4
Suppose -3*t**4 - 24*t**3 + 3*t**2 + 24*t = 0. Calculate t.
-8, -1, 0, 1
Factor f**2 + 127*f + 610.
(f + 5)*(f + 122)
Find b, given that 100*b**5 - 220*b**4 - 1124*b**3 - 1268*b**2 - 544*b - 80 = 0.
-1, -2/5, 5
Factor c**4/3 + 4*c**3 - c**2/3 - 4*c.
c*(c - 1)*(c + 1)*(c + 12)/3
Factor -4*h**2/5 - 12*h/5.
-4*h*(h + 3)/5
Determine n so that -2*n**2 + 26*n + 60 = 0.
-2, 15
Let 3*g**2 - 312*g