Find x, given that -x**5/3 - 4*x**4 - 14*x**3 - 52*x**2/3 - 7*x = 0.
-7, -3, -1, 0
Let 4*y**2 - 512*y + 16384 = 0. Calculate y.
64
Determine m so that -750*m**4 - 11750*m**3 + 16610*m**2 - 6594*m + 612 = 0.
-17, 2/15, 3/5
What is p in 2*p**2/11 + 1416*p/11 = 0?
-708, 0
Determine q, given that -q**2/5 - 7*q/5 + 6 = 0.
-10, 3
Factor j**3/5 - 143*j**2/5 + 283*j/5 - 141/5.
(j - 141)*(j - 1)**2/5
Find j such that 3*j**2 - 24528*j + 50135232 = 0.
4088
Solve -d**2/3 - 626*d - 293907 = 0.
-939
Find k, given that k**5 - 7*k**4 - 12*k**3 + 28*k**2 + 32*k = 0.
-2, -1, 0, 2, 8
Factor -2*p**5/3 + 2*p**4/3 + 4*p**3/3.
-2*p**3*(p - 2)*(p + 1)/3
Factor -4*p**3/9 + 92*p**2 - 1640*p/9.
-4*p*(p - 205)*(p - 2)/9
Factor 2*m**2/7 - 8*m/7 - 64/7.
2*(m - 8)*(m + 4)/7
Factor 2*m**2/7 - 4916*m/7 + 3020882/7.
2*(m - 1229)**2/7
Suppose 18*l**4 + 22*l**3 - 14*l**2 - 22*l - 4 = 0. What is l?
-1, -2/9, 1
Factor t**4 - 7*t**3 - t**2 + 7*t.
t*(t - 7)*(t - 1)*(t + 1)
Suppose 18*s**5 + 166*s**4 + 162*s**3 - 134*s**2 - 180*s - 32 = 0. What is s?
-8, -1, -2/9, 1
Suppose -11*v**2/2 - 25*v - 12 = 0. What is v?
-4, -6/11
Factor -u**3/2 - 25*u**2/2 - 12*u.
-u*(u + 1)*(u + 24)/2
Determine s so that 10*s**4 - 185*s**3 + 870*s**2 - 1080*s = 0.
0, 2, 9/2, 12
Factor r**4 - 2*r**3 - 4*r**2 + 2*r + 3.
(r - 3)*(r - 1)*(r + 1)**2
Solve -i**4 + 12*i**3 + 108*i**2 - 864*i - 5184 = 0.
-6, 12
Factor -2*z**2/25 + 98*z/25 - 96/25.
-2*(z - 48)*(z - 1)/25
Factor 3*z**5 + 36*z**4 + 63*z**3 + 30*z**2.
3*z**2*(z + 1)**2*(z + 10)
Factor 4*v**2 - 36*v + 56.
4*(v - 7)*(v - 2)
Suppose -42*m**5 + 172*m**4 - 100*m**3 - 160*m**2 + 142*m - 12 = 0. What is m?
-1, 2/21, 1, 3
Solve 2*x**3/7 - 98*x**2 + 1366*x/7 - 682/7 = 0 for x.
1, 341
What is c in 2*c**4 + 48*c**3 + 158*c**2 - 1848*c - 1960 = 0?
-14, -1, 5
Factor -4*d**4/3 - 20*d**3/9 + 8*d**2/9.
-4*d**2*(d + 2)*(3*d - 1)/9
Factor a**5/9 - 38*a**4/9.
a**4*(a - 38)/9
Factor -2*m**2 + 84*m - 882.
-2*(m - 21)**2
Factor 3*x**3 + 318*x**2 + 315*x.
3*x*(x + 1)*(x + 105)
What is f in -2*f**2 + 28*f + 414 = 0?
-9, 23
Factor y**3 + 5*y**2/3 - 4*y/3 - 4/3.
(y - 1)*(y + 2)*(3*y + 2)/3
Factor -2*l**4/19 + 88*l**3/19 - 170*l**2/19 + 84*l/19.
-2*l*(l - 42)*(l - 1)**2/19
What is h in 3*h**2/7 - 57*h/7 + 270/7 = 0?
9, 10
Factor -r**3/2 - 75*r**2 - 294*r - 292.
-(r + 2)**2*(r + 146)/2
Solve -2*u**4/3 - 136*u**3/3 - 1012*u**2 - 21160*u/3 + 24334/3 = 0 for u.
-23, 1
Factor w**3/7 - 9*w/7.
w*(w - 3)*(w + 3)/7
Factor 4*k**2/5 + 1132*k/5.
4*k*(k + 283)/5
What is j in -5*j**2 - 1585*j + 1590 = 0?
-318, 1
Factor -30*n**5 - 715*n**4 + 120*n**3.
-5*n**3*(n + 24)*(6*n - 1)
Let -2*c**4/7 + 166*c**3/7 - 46*c**2 - 166*c/7 + 324/7 = 0. What is c?
-1, 1, 2, 81
Solve 2*c**2/7 - 22*c/7 + 48/7 = 0.
3, 8
Determine m, given that 5*m**4/2 + m**3/4 - 45*m**2/2 - 9*m/4 = 0.
-3, -1/10, 0, 3
Determine b so that -b**4/5 + b**3/5 + 9*b**2/5 - 9*b/5 = 0.
-3, 0, 1, 3
Factor u**3/4 - 21*u**2 - u/4 + 21.
(u - 84)*(u - 1)*(u + 1)/4
Factor j**3/2 + 16*j**2 - 67*j/2 + 17.
(j - 1)**2*(j + 34)/2
Find q, given that 3*q**5/8 + 9*q**4/2 - 123*q**3/4 - 633*q**2/2 + 5643*q/8 - 363 = 0.
-11, 1, 8
Factor -2*p**2 - 1862*p - 3716.
-2*(p + 2)*(p + 929)
Find s, given that -171*s**5/2 + 509*s**4/4 + 177*s**3/4 - 511*s**2/4 + 165*s/4 + 1/2 = 0.
-1, -2/171, 1/2, 1
Suppose -w**4/5 + 3*w**3 - 56*w**2/5 = 0. Calculate w.
0, 7, 8
Factor -2*h**2/17 + 1388*h/17 - 240818/17.
-2*(h - 347)**2/17
Factor 7*r**3/10 - 41*r**2/10 - 349*r/5 + 312/5.
(r - 13)*(r + 8)*(7*r - 6)/10
Factor 4*b**4/9 + 160*b**3/9 + 2048*b**2/9 + 8192*b/9.
4*b*(b + 8)*(b + 16)**2/9
Factor 3*r**5/5 - 21*r**4/5 - 36*r**3.
3*r**3*(r - 12)*(r + 5)/5
Find j such that -j**2/5 - 591*j/5 = 0.
-591, 0
Determine l so that -2*l**2/5 + 708*l/5 - 62658/5 = 0.
177
Factor 4*n**5 - 396*n**4 + 12396*n**3 - 131540*n**2 + 571200*n - 882000.
4*(n - 42)**2*(n - 5)**3
Find r, given that 5*r**5 - 5*r**4 - 45*r**3 + 25*r**2 + 80*r - 60 = 0.
-2, 1, 3
Suppose -9*u**2/2 + 609*u/2 - 201 = 0. Calculate u.
2/3, 67
Solve -2*p**2 - 58*p = 0 for p.
-29, 0
What is l in -2*l**5/13 + 42*l**4/13 - 270*l**3/13 + 550*l**2/13 = 0?
0, 5, 11
Factor 4*b**2/5 + 272*b/5 + 572.
4*(b + 13)*(b + 55)/5
Let -4*d**4 + 48*d**3 - 184*d**2 + 240*d - 100 = 0. What is d?
1, 5
Find f such that 3*f**4/2 - 992*f**3 + 491039*f**2/3 + 328352*f/3 + 109561/6 = 0.
-1/3, 331
Factor -3*q**3 - 1122*q**2 - 5517*q + 6642.
-3*(q - 1)*(q + 6)*(q + 369)
Factor 5*z**3 - 30*z**2 + 45*z - 20.
5*(z - 4)*(z - 1)**2
Factor -u**4/5 - 2*u**3/5 + 3*u**2/5.
-u**2*(u - 1)*(u + 3)/5
Factor 3*n**2 + 99*n - 102.
3*(n - 1)*(n + 34)
Factor -3*l**3 + 66*l**2 - 123*l + 60.
-3*(l - 20)*(l - 1)**2
Factor w**2 + 121*w + 120.
(w + 1)*(w + 120)
Suppose -2*n**3 + 4102*n**2 = 0. What is n?
0, 2051
Factor -4*l**2/9 + 220*l/9 - 304.
-4*(l - 36)*(l - 19)/9
Factor -t**2/2 - 1021*t/2.
-t*(t + 1021)/2
Solve 5*r**5 - 10*r**4 + 10*r**2 - 5*r = 0.
-1, 0, 1
Factor 5*a**5 + 850*a**4 + 36960*a**3 + 70560*a**2.
5*a**2*(a + 2)*(a + 84)**2
Let 2*k**3/5 + 398*k**2/15 + 174*k/5 + 26/3 = 0. Calculate k.
-65, -1, -1/3
Factor 2*r**2/11 - 1196*r/11 + 178802/11.
2*(r - 299)**2/11
Factor -2*c**3 + 186*c**2 + 188*c.
-2*c*(c - 94)*(c + 1)
Find a, given that 5*a**5 + 135*a**4 - 1195*a**3 - 135*a**2 + 1190*a = 0.
-34, -1, 0, 1, 7
Solve 18*w**2/7 - 218*w/7 + 24/7 = 0.
1/9, 12
Determine m, given that 2*m**3 + 8*m**2 - 2*m - 8 = 0.
-4, -1, 1
Suppose -r**5 + 12*r**4 + 29*r**3 - 12*r**2 - 28*r = 0. Calculate r.
-2, -1, 0, 1, 14
What is g in 3*g**4 - 84*g**3 - 177*g**2 - 90*g = 0?
-1, 0, 30
Let 2*p**2 - 218*p + 1428 = 0. What is p?
7, 102
Factor s**3/2 + 265*s**2/2 + 527*s/2 + 263/2.
(s + 1)**2*(s + 263)/2
Suppose -70*w**3 - 626*w**2 - 1224*w + 72 = 0. What is w?
-6, -3, 2/35
Factor n**5 - 21*n**4 - 409*n**3 - 1091*n**2 - 1044*n - 340.
(n - 34)*(n + 1)**3*(n + 10)
Solve 4*h**2/7 - 22*h/7 + 18/7 = 0 for h.
1, 9/2
Factor -a**3 + 1091*a**2 - 298115*a + 297025.
-(a - 545)**2*(a - 1)
Suppose -3*x**3 - 273*x**2 + 555*x - 279 = 0. What is x?
-93, 1
What is l in l**2/3 + 37*l + 110/3 = 0?
-110, -1
Factor -5*s**2 + 5*s + 10.
-5*(s - 2)*(s + 1)
Solve -2*n**3/9 + 32*n**2/9 - 26*n/9 - 20/3 = 0 for n.
-1, 2, 15
Factor -4*y**3 - 10272*y**2 - 8792832*y - 2508888064.
-4*(y + 856)**3
Factor d**3/3 - 3*d**2 - 16*d - 52/3.
(d - 13)*(d + 2)**2/3
Suppose -14*m**3 - 757*m**2 - 10260*m - 729 = 0. What is m?
-27, -1/14
Factor 4*l**2 - 524*l + 520.
4*(l - 130)*(l - 1)
Factor -28*y**3 - 256*y**2 - 36*y.
-4*y*(y + 9)*(7*y + 1)
Solve 2*v**4 + 4*v**3/5 - 6*v**2 - 32*v/5 - 8/5 = 0 for v.
-1, -2/5, 2
Suppose -2*m**3 - 18*m**2 - 36*m = 0. Calculate m.
-6, -3, 0
Suppose -i**3 - 11*i**2 + 26*i = 0. What is i?
-13, 0, 2
Factor -2*p**3/9 + 50*p**2/9 - 400*p/9 + 1000/9.
-2*(p - 10)**2*(p - 5)/9
Find f such that -12*f**5 + 1161*f**4 + 7599*f**3 + 12903*f**2 + 7713*f + 1236 = 0.
-4, -1, -1/4, 103
Suppose -2*a**2 + 64*a - 120 = 0. What is a?
2, 30
Factor 2*j**3/3 - 1114*j**2 + 620498*j - 345617386/3.
2*(j - 557)**3/3
Find b, given that -2*b**5/13 - 8*b**4/13 + 20*b**2/13 + 2*b/13 - 12/13 = 0.
-3, -2, -1, 1
Factor 2*p**3/3 + 20*p**2/3 + 18*p + 12.
2*(p + 1)*(p + 3)*(p + 6)/3
Determine i so that -i**5 - 22*i**4 - 148*i**3 - 360*i**2 - 288*i = 0.
-12, -6, -2, 0
Factor -3*h**2/4 + 177*h/4 - 126.
-3*(h - 56)*(h - 3)/4
Factor -5*h**4 - 20*h**3 + 95*h**2 - 70*h.
-5*h*(h - 2)*(h - 1)*(h + 7)
Solve -2*y**3/11 - 2*y**2 + 2*y/11 + 2 = 0.
-11, -1, 1
Solve -m**5/2 - 7*m**4/2 + 4*m**3 + 28*m**2 - 8*m - 56 = 0.
-7, -2, 2
Determine h so that 5*h**4 - 85*h**3 + 225*h**2 - 215*h + 70 = 0.
1, 14
Factor -4*k**2 + 20*k - 16.
-4*(k - 4)*(k - 1)
Factor -366*c**2/7 - 374*c/7 - 8/7.
-2*(c + 1)*(183*c + 4)/7
Factor -r**3/2 - 11*r**2/2 - 10*r + 16.
-(r - 1)*(r + 4)*(r + 8)/2
Factor 5*t**4/2 - 85*t**3 + 400*t**2 + 6000*t.
5*t*(t - 20)**2*(t + 6)/2
Suppose -2*y**3/3 + 32*y**2/3 - 142*y/3 + 112/3 = 0. Calculate y.
1, 7, 8
Suppose -g**5/11 - 30*g**4/11 - 26*g**3/11 + 92*g**2/11 + 147*g/11 + 58/11 = 0. What is g?
-29, -1, 2
Factor 5*r**4 - 25*r**3 - 60*r**2 + 180*r.
5*r*(r - 6)*(r - 2)*(r + 3)
What is s in -3*s**2 + 5064*s - 2137008 = 0?
844
What is i in 4*i**4 - 232*i**3/7 + 596*i**2/7 - 488*i/7 + 96/7 = 0?
2/7, 1, 3, 4
Factor -v**4 + 20*v**3 - 150*v**2 + 500*v - 625.
-(v - 5)**4
Solve -4*x**5 + 12*x**4 + 12*x**3 - 44*x**2 + 24*x = 0 for x.
-2, 0, 1, 3
What 