9803 = 0. Calculate y.
-4102
Factor -4*f**3 - 1336*f**2 + 1348*f + 2680.
-4*(f - 2)*(f + 1)*(f + 335)
Find g, given that -2*g**2 + 2*g + 40 = 0.
-4, 5
Determine y so that -5*y**4/4 + 85*y**3/4 + 605*y**2/2 + 915*y + 810 = 0.
-6, -2, 27
Factor -7*t**3 + 3712*t**2 - 492635*t + 140450.
-(t - 265)**2*(7*t - 2)
Let -34*b**2/19 - 12*b/19 = 0. What is b?
-6/17, 0
Factor -2*l**2/17 - 4956*l/17 - 3070242/17.
-2*(l + 1239)**2/17
Solve -105*b**5/8 + 369*b**4/8 - 327*b**3/8 - 21*b**2/8 + 9*b + 3/2 = 0 for b.
-2/7, -1/5, 1, 2
Find z such that -12*z**5 - 237*z**4 - 1056*z**3 - 1281*z**2 - 282*z + 168 = 0.
-14, -4, -1, 1/4
Factor 5*d**2 - 10*d - 40.
5*(d - 4)*(d + 2)
Solve -2*q**4/13 - 28*q**3/13 - 10*q**2/13 + 232*q/13 + 24 = 0 for q.
-13, -2, 3
Suppose 3*j**2 + 978*j + 79707 = 0. What is j?
-163
Factor -5*d**2 - 50*d + 855.
-5*(d - 9)*(d + 19)
Find i, given that 2*i**2/5 + 1296*i/5 + 209952/5 = 0.
-324
Suppose -21*c**5 + 24*c**4 + 132*c**3 + 42*c**2 - 111*c - 66 = 0. What is c?
-1, 1, 22/7
Solve -2*b**4 - 22*b**3 + 56*b**2 + 424*b + 480 = 0 for b.
-12, -2, 5
Factor 2*y**2/7 - 20*y/7 + 48/7.
2*(y - 6)*(y - 4)/7
Factor f**4 - 124*f**3 - 4*f**2 + 496*f.
f*(f - 124)*(f - 2)*(f + 2)
Suppose -s**3/3 - 28*s**2/3 - 196*s/3 = 0. What is s?
-14, 0
Let 3*h**3 - 3*h**2 - 51*h - 45 = 0. Calculate h.
-3, -1, 5
What is g in g**2 + 1058*g + 1057 = 0?
-1057, -1
Suppose 2*l**4 + 10*l**3 + 12*l**2 = 0. What is l?
-3, -2, 0
Factor b**3/7 - 64*b**2 + 892*b/7.
b*(b - 446)*(b - 2)/7
Find l such that -4*l**2 + 3040*l - 577600 = 0.
380
Factor -m**3/4 + m/4.
-m*(m - 1)*(m + 1)/4
Factor 2*f**3 + 20*f**2 - 2*f - 20.
2*(f - 1)*(f + 1)*(f + 10)
Let -3*h**3 - 72*h**2 + 417*h - 522 = 0. What is h?
-29, 2, 3
Find f, given that f**4/2 - 3*f**2/2 + f = 0.
-2, 0, 1
Factor -h**2/4 + 5*h + 24.
-(h - 24)*(h + 4)/4
Factor 4*o**2 + 1684*o - 5088.
4*(o - 3)*(o + 424)
Find u such that -10*u**5/9 + 82*u**4/9 - 262*u**3/9 + 406*u**2/9 - 304*u/9 + 88/9 = 0.
1, 2, 11/5
Factor 43*d**2/2 - 45*d/2 + 1.
(d - 1)*(43*d - 2)/2
Let 2*d**2/7 - 176*d/7 + 162 = 0. Calculate d.
7, 81
Solve 2*h**5/19 - 36*h**4/19 - 560*h**3/19 + 18400*h**2/19 - 156000*h/19 + 440000/19 = 0.
-22, 10
Factor -c**4 - 3*c**3 + 9*c**2 - 5*c.
-c*(c - 1)**2*(c + 5)
Factor 20*t**4 - 40*t**3 + 25*t**2 - 5*t.
5*t*(t - 1)*(2*t - 1)**2
Find y, given that 4*y**3 - 196*y**2 + 2860*y - 13068 = 0.
11, 27
Find h such that -h**2 - 110*h - 3025 = 0.
-55
Solve -f**3/8 + 35*f**2/4 - 707*f/8 + 319/4 = 0 for f.
1, 11, 58
Factor -v**2/5 + 14*v/5 + 3.
-(v - 15)*(v + 1)/5
Factor i**4 - 139*i**3 + 543*i**2 - 405*i.
i*(i - 135)*(i - 3)*(i - 1)
Factor -56*i**4 + 444*i**3 - 864*i**2 - 64*i.
-4*i*(i - 4)**2*(14*i + 1)
Factor 17*s**4/5 + 53*s**3/5 + 8*s**2 + 4*s/5.
s*(s + 1)*(s + 2)*(17*s + 2)/5
Factor -g**3/8 - 37*g**2/4 - 1769*g/8 - 1682.
-(g + 16)*(g + 29)**2/8
Suppose -13*f**2/4 + 14*f - 4 = 0. What is f?
4/13, 4
Solve 11*u**5/6 - 221*u**4/6 + 736*u**3/3 - 1826*u**2/3 + 1568*u/3 - 128/3 = 0.
1/11, 2, 8
Solve 4*q**3 + 448*q**2 + 884*q + 440 = 0 for q.
-110, -1
Let 10*k**5 - 255*k**4 + 585*k**3 - 230*k**2 = 0. What is k?
0, 1/2, 2, 23
Let 2*g**5/3 + 94*g**4/3 + 848*g**3/3 - 5936*g**2/3 + 10400*g/3 - 5408/3 = 0. Calculate g.
-26, 1, 2
Find y such that 4*y**5 - 52*y**4 + 136*y**3 + 248*y**2 - 140*y - 196 = 0.
-1, 1, 7
What is b in 3*b**3/2 - 10746*b**2 + 19246086*b = 0?
0, 3582
Suppose r**4 - 30*r**3 - r**2 + 30*r = 0. What is r?
-1, 0, 1, 30
Find j, given that -50*j**4/11 - 270*j**3/11 + 178*j**2 - 3258*j/11 + 1620/11 = 0.
-10, 1, 9/5
Let -8*y**4/5 - 68*y**3/5 - 184*y**2/5 - 172*y/5 - 48/5 = 0. Calculate y.
-4, -3, -1, -1/2
Factor -l**2/4 - 7*l.
-l*(l + 28)/4
Find z such that -4*z**2 + 1917*z - 479 = 0.
1/4, 479
Let -3*f**2 + 33*f/2 - 15/2 = 0. Calculate f.
1/2, 5
Find f such that 3*f**4/5 + 3*f**3 + 18*f**2/5 - 12*f/5 - 24/5 = 0.
-2, 1
Factor 2*z**3/17 + 8*z**2/17 - 22*z/17 + 12/17.
2*(z - 1)**2*(z + 6)/17
Factor 26*n**3/5 - 20*n**2 - 328*n/5 - 48/5.
2*(n - 6)*(n + 2)*(13*n + 2)/5
Find w, given that -4*w**2 + 164*w + 344 = 0.
-2, 43
Find b such that -b**2 + 66*b - 1089 = 0.
33
Factor -z**5 + 4*z**4 - 14*z**2 + 17*z - 6.
-(z - 3)*(z - 1)**3*(z + 2)
Factor 2*t**3/7 - 3686*t**2/7 + 1700166*t/7 - 1696482/7.
2*(t - 921)**2*(t - 1)/7
Factor 2*n**5/5 + 116*n**4/5 + 114*n**3/5.
2*n**3*(n + 1)*(n + 57)/5
Factor 3*r**2/8 + 243*r/4 - 123.
3*(r - 2)*(r + 164)/8
What is j in -2*j**5 - 28*j**4 - 64*j**3 + 256*j**2 = 0?
-8, 0, 2
Let -6*f**5/7 - 122*f**4/7 - 634*f**3/7 - 78*f**2/7 + 640*f/7 + 200/7 = 0. Calculate f.
-10, -1, -1/3, 1
Suppose -4*f**4 + 508*f**3 + 3144*f**2 + 6352*f + 4256 = 0. Calculate f.
-2, 133
What is g in -g**5/3 - 14*g**4 + 93*g**3 - 428*g**2/3 + 64*g = 0?
-48, 0, 1, 4
Factor 3*s**2 + 99*s + 96.
3*(s + 1)*(s + 32)
Suppose -v**3 - 33*v**2 + 4*v + 132 = 0. Calculate v.
-33, -2, 2
Solve 5*n**2 + 215*n = 0 for n.
-43, 0
Factor c**4 - c**3 - 12*c**2 - 4*c + 16.
(c - 4)*(c - 1)*(c + 2)**2
Factor -3*r**3 - 345*r**2 + 2586*r + 2928.
-3*(r - 8)*(r + 1)*(r + 122)
Factor 2*x**2/5 + 462*x/5 + 92.
2*(x + 1)*(x + 230)/5
What is t in t**4 - 5*t**3 - t**2 + 5*t = 0?
-1, 0, 1, 5
Find r such that r**2/2 + 94*r + 4418 = 0.
-94
Factor -x**5 - 9*x**4 - 18*x**3 + 4*x**2 + 24*x.
-x*(x - 1)*(x + 2)**2*(x + 6)
Let -q**2 + 6822*q - 11634921 = 0. What is q?
3411
Factor -2*t**2 + 1332*t + 1334.
-2*(t - 667)*(t + 1)
Factor 8*i**4 - 12*i**3 + 4*i**2.
4*i**2*(i - 1)*(2*i - 1)
Let -2*u**4/7 + 16*u**3/7 - 2*u**2 = 0. What is u?
0, 1, 7
Factor -j**2/3 + 144*j - 15552.
-(j - 216)**2/3
Solve -m**3 - 173*m**2 + 349*m - 175 = 0.
-175, 1
Factor -3*b**3 - 24*b**2 - 15*b + 42.
-3*(b - 1)*(b + 2)*(b + 7)
Suppose 2*f**5/9 - 20*f**4/9 + 50*f**3/9 = 0. What is f?
0, 5
Let -2*h**4 - 140*h**3 - 1826*h**2 + 21840*h - 48672 = 0. What is h?
-39, 4
Let -2*u**2/9 + 76*u/9 + 26/3 = 0. What is u?
-1, 39
Solve 4*c**2 + 68*c + 64 = 0 for c.
-16, -1
Factor -3*m**4 + 51*m**3 - 141*m**2 - 195*m.
-3*m*(m - 13)*(m - 5)*(m + 1)
Factor 5*w**4 + 10*w**3 - 15*w**2 - 40*w - 20.
5*(w - 2)*(w + 1)**2*(w + 2)
Suppose -4*r**4 - 252*r**3 + 256*r**2 = 0. Calculate r.
-64, 0, 1
Factor 9*a**4 + 745*a**3 + 16394*a**2 + 39520*a - 9600.
(a + 3)*(a + 40)**2*(9*a - 2)
Find v such that 4*v**5 - 64*v**4 + 184*v**3 + 576*v**2 + 324*v = 0.
-1, 0, 9
Factor -x**3/4 - 13*x**2/2 - 175*x/4 - 75/2.
-(x + 1)*(x + 10)*(x + 15)/4
Find y, given that y**5/6 - 5*y**4/2 + 13*y**3 - 80*y**2/3 + 16*y = 0.
0, 1, 4, 6
Solve 18*i**5/7 - 74*i**4 + 3394*i**3/7 + 690*i**2 + 900*i/7 = 0 for i.
-1, -2/9, 0, 15
Factor -3*t**3 - 111*t**2 - 462*t + 576.
-3*(t - 1)*(t + 6)*(t + 32)
Factor -2*s**2/9 + 10*s/3 + 32/9.
-2*(s - 16)*(s + 1)/9
Solve -4*q**5 - 12*q**4 + 88*q**3 - 152*q**2 + 108*q - 28 = 0.
-7, 1
Determine t, given that 5*t**3 - 5*t = 0.
-1, 0, 1
Suppose 2*m**2/5 + 346*m + 1728/5 = 0. Calculate m.
-864, -1
Factor -5*w**4 - 240*w**3 + 245*w**2.
-5*w**2*(w - 1)*(w + 49)
Let -5*o**5 - 30*o**4 + 35*o**3 + 460*o**2 + 720*o + 320 = 0. What is o?
-4, -1, 4
Let 2*j**5 + 362*j**4 + 15830*j**3 - 49682*j**2 + 50416*j - 16928 = 0. Calculate j.
-92, 1
Factor 4*d**3/3 - 40*d**2/3 + 12*d.
4*d*(d - 9)*(d - 1)/3
Find z such that 3*z**2 + 45*z + 42 = 0.
-14, -1
Factor 2*o**4/13 - 180*o**3/13.
2*o**3*(o - 90)/13
Factor r**2 - 11*r + 28.
(r - 7)*(r - 4)
Solve -3*l**5 + 198*l**4 - 3204*l**3 - 4218*l**2 + 72567*l - 65340 = 0.
-5, 1, 4, 33
Factor j**3/5 + 24*j**2/5 - 109*j/5 + 84/5.
(j - 3)*(j - 1)*(j + 28)/5
Factor v**2/3 + 116*v/3 + 113.
(v + 3)*(v + 113)/3
Factor s**4/4 + 7*s**3/2 - 15*s**2/4.
s**2*(s - 1)*(s + 15)/4
Solve 5*i**3/6 + 2225*i**2/6 + 4420*i/3 + 1470 = 0 for i.
-441, -2
Factor -3*z**2/7 - 195*z/7 + 2508/7.
-3*(z - 11)*(z + 76)/7
Find b, given that -5*b**3 + 125*b**2 - 840*b + 720 = 0.
1, 12
Factor 4*o**5 - 32*o**4 + 48*o**3.
4*o**3*(o - 6)*(o - 2)
Let b**2/5 - 288*b/5 + 20736/5 = 0. What is b?
144
Let -4*j**3 + 164*j**2 - 2108*j + 8092 = 0. What is j?
7, 17
Determine n, given that -n**5/3 + 7*n**4/3 - 10*n**3/3 - 2*n**2/3 + 11*n/3 - 5/3 = 0.
-1, 1, 5
Solve -4*f**2 + 664*f + 668 = 0 for f.
-1, 167
Solve p**3/5 - 1906*p**2/5 - 1907*p/5 = 0 for p.
-1, 0, 1907
Factor d**2/6 - 113*d + 38307/2.
(d - 339)**2/6
Let -d**3/2 + 12*d**2 - 23*d/2 = 0. What is d?
0, 1, 23
Solve 4*k**4/5 + 16*k**3/5 + 16*k**2/5 = 0.
-2, 0
Factor -h**2/8 + 15*h/4.
-h*(h - 30)/8
Factor -5*t**2