*3/7 + 10*q**2/7 - 31*q/7 + 30/7 = 0.
2, 3, 5
Solve 20*a**4 + 188*a**3 - 608*a**2 + 208*a + 192 = 0 for a.
-12, -2/5, 1, 2
Suppose -z**2/2 + 51*z/2 - 49 = 0. What is z?
2, 49
Factor 2*c**4 + 4*c**3 - 14*c**2 + 8*c.
2*c*(c - 1)**2*(c + 4)
Find f, given that 7*f**5/4 - 29*f**4/2 - 3*f**3 + 58*f**2 - 16*f = 0.
-2, 0, 2/7, 2, 8
Solve -o**3/2 + 2*o**2 - o/2 - 3 = 0.
-1, 2, 3
Factor -5*i**3 + 155*i**2 + 330*i.
-5*i*(i - 33)*(i + 2)
Solve n**4/2 - 41*n**3/2 + 76*n**2 - 74*n = 0 for n.
0, 2, 37
Solve -116*s**2 - 48*s = 0.
-12/29, 0
Factor r**4/3 + 70*r**3/3 + 1513*r**2/3 + 3468*r.
r*(r + 17)**2*(r + 36)/3
Suppose -3*m**2/8 + 3*m/4 + 3 = 0. What is m?
-2, 4
Factor -8*v**2 + 4538*v - 1134.
-2*(v - 567)*(4*v - 1)
Factor 25*o**2 - 55*o/4 + 3/2.
(5*o - 2)*(20*o - 3)/4
Suppose 4*q**5/9 + 10*q**4/3 - 62*q**3/9 - 22*q**2/3 + 58*q/9 + 4 = 0. What is q?
-9, -1, -1/2, 1, 2
Find p such that 4*p**5 + 16*p**4 = 0.
-4, 0
Factor 2*j**2 - 7792*j + 7790.
2*(j - 3895)*(j - 1)
Let 3*j**5/5 - 57*j**4/5 + 138*j**3/5 + 1698*j**2/5 - 3597*j/5 + 363 = 0. What is j?
-5, 1, 11
What is r in -2*r**2/7 - 86*r/7 + 180/7 = 0?
-45, 2
Factor m**3/3.
m**3/3
Factor -2*d**2/5 - 4376*d/5 - 2393672/5.
-2*(d + 1094)**2/5
Suppose 3*h**3 + 99*h**2 - 207*h + 105 = 0. What is h?
-35, 1
Suppose -2*o**3/3 + 62*o**2/3 - 560*o/3 + 392 = 0. What is o?
3, 14
Suppose 2*t**4 + 16*t**3 + 6*t**2 - 144*t - 216 = 0. What is t?
-6, -3, -2, 3
Factor 5*v**2 - 1490*v/3 - 1000/3.
5*(v - 100)*(3*v + 2)/3
Find c, given that -4*c**4/5 + 78*c**3/5 - 104*c**2/5 - 72*c/5 = 0.
-1/2, 0, 2, 18
Determine g so that 15*g**4 + 560*g**3 - 2215*g**2 + 1640*g = 0.
-41, 0, 1, 8/3
What is z in -36*z**5 - 69*z**4 - 39*z**3 - 6*z**2 = 0?
-1, -2/3, -1/4, 0
What is p in -3*p**2/2 + 840*p - 117600 = 0?
280
Determine d so that -5*d**4 + 10*d**3 + 275*d**2 - 280*d = 0.
-7, 0, 1, 8
Factor -3*q**4 - 60*q**3 - 399*q**2 - 1098*q - 1080.
-3*(q + 3)**2*(q + 4)*(q + 10)
Solve 2*d**4/9 + 8*d**3/9 - 2*d**2/3 - 28*d/9 - 16/9 = 0 for d.
-4, -1, 2
Factor -2*l**2/11 + 5168*l/11 - 3338528/11.
-2*(l - 1292)**2/11
Factor 5*q**3 + 240*q**2 + 2880*q.
5*q*(q + 24)**2
Solve -4*l**4/3 + 208*l**3/3 + 72*l**2 - 208*l/3 - 212/3 = 0 for l.
-1, 1, 53
Factor -4*w**3/7 - 8*w**2/7 + 12*w - 72/7.
-4*(w - 3)*(w - 1)*(w + 6)/7
Let 2*x**4 - 26*x**3 + 102*x**2 - 134*x + 56 = 0. What is x?
1, 4, 7
Suppose 43*q**4/4 + 45*q**3/2 - 121*q**2/4 - 3*q = 0. Calculate q.
-3, -4/43, 0, 1
Let 57*g**3 + 462*g**2 + 960*g + 96 = 0. What is g?
-4, -2/19
What is v in 8*v**4 + 198*v**3 + 846*v**2 - 4928*v + 1176 = 0?
-14, 1/4, 3
Determine y so that -2*y**5 - 18*y**4 + 50*y**3 + 50*y**2 - 168*y + 88 = 0.
-11, -2, 1, 2
Determine c, given that -3*c**4 - 9*c**3 + 30*c**2 + 72*c = 0.
-4, -2, 0, 3
Find a such that 2*a**3/7 - 48*a**2/7 + 216*a/7 = 0.
0, 6, 18
Factor 807*v**2/2 + 3*v.
3*v*(269*v + 2)/2
Factor -2*p**5/7 - 80*p**4/7 - 936*p**3/7 - 2592*p**2/7.
-2*p**2*(p + 4)*(p + 18)**2/7
Factor 2*w**3/11 - 180*w**2 + 59400*w - 6534000.
2*(w - 330)**3/11
Solve -i**3/5 + 11*i**2/5 - 24*i/5 = 0.
0, 3, 8
Determine w so that -w**3/4 - w**2 + 15*w/4 + 9/2 = 0.
-6, -1, 3
Determine b, given that -b**3/5 - 9*b**2/5 + 5*b + 33/5 = 0.
-11, -1, 3
Find l, given that -2*l**4/13 - 128*l**3/13 - 110*l**2/13 + 1032*l/13 + 1512/13 = 0.
-63, -2, 3
Suppose -5*l**2 + 115*l - 600 = 0. What is l?
8, 15
Determine g, given that -g**5/5 - 7*g**4 - 429*g**3/5 - 2057*g**2/5 - 2662*g/5 = 0.
-11, -2, 0
Factor -2*a**4 + 344*a**3 - 15788*a**2 + 85656*a - 124002.
-2*(a - 83)**2*(a - 3)**2
Let c**2 + 82*c - 83 = 0. Calculate c.
-83, 1
Determine h, given that -4*h**2/9 + 872*h/9 - 47524/9 = 0.
109
Factor -2*d**4 + 2*d**3 + 4*d**2.
-2*d**2*(d - 2)*(d + 1)
Determine t so that t**5/4 + 29*t**4/4 - 32*t**3 + 33*t**2 = 0.
-33, 0, 2
Factor -2*h**3 + 6*h**2 + 48*h + 56.
-2*(h - 7)*(h + 2)**2
Determine l, given that 4*l**5 - 56*l**4 - 124*l**3 - 64*l**2 = 0.
-1, 0, 16
Solve 15*t**5 - 110*t**4 + 95*t**3 + 160*t**2 - 60*t = 0.
-1, 0, 1/3, 2, 6
Let 2*n**3/3 + 32*n**2 + 384*n = 0. What is n?
-24, 0
Let 68*z**3 - 2*z**2 = 0. Calculate z.
0, 1/34
Factor -1670*k**3 + 5014*k**2 - 3352*k + 8.
-2*(k - 2)*(k - 1)*(835*k - 2)
Factor 2*x**2/11 - 452*x/11 + 896/11.
2*(x - 224)*(x - 2)/11
Determine n, given that -6*n**4/7 + 99*n**3/7 - 174*n**2/7 = 0.
0, 2, 29/2
Suppose -2*t**2 - 82*t - 728 = 0. What is t?
-28, -13
Let 4*h**3/5 + 306*h**2/5 + 30*h - 152/5 = 0. Calculate h.
-76, -1, 1/2
What is u in -42*u**5/5 + 93*u**4/5 + 6*u**3 - 21*u**2 + 12*u/5 + 12/5 = 0?
-1, -2/7, 1/2, 1, 2
Determine o, given that 20*o**4/3 - 180*o**3 + 2245*o**2/3 + 3550*o + 3000 = 0.
-3/2, 10, 20
Factor -2*x**3/7 + 94*x**2/7 + 96*x/7.
-2*x*(x - 48)*(x + 1)/7
Find z such that z**4/2 - 5*z**3/2 + z**2/2 + 21*z/2 - 9 = 0.
-2, 1, 3
Factor -v**2/9 + 260*v/3 - 16900.
-(v - 390)**2/9
Factor 4*r**2/7 + 224*r + 21952.
4*(r + 196)**2/7
Solve -h**2/7 + 2*h/7 + 5 = 0.
-5, 7
Factor -x**2/6 - 2*x/3 + 5/6.
-(x - 1)*(x + 5)/6
Factor 3*l**4 + 33*l**3 - 78*l**2.
3*l**2*(l - 2)*(l + 13)
Determine k, given that -3*k**4 - 27*k**3 - 60*k**2 = 0.
-5, -4, 0
Factor 2*h**3 + 12*h**2 + 18*h.
2*h*(h + 3)**2
Find m, given that -m**3/3 + 296*m**2/3 + 299*m = 0.
-3, 0, 299
Factor -o**2 + 90*o - 176.
-(o - 88)*(o - 2)
Let -v**4 + 2*v**3 = 0. Calculate v.
0, 2
Determine l, given that 5*l**3/4 - 21*l**2/4 + 5*l/2 + 6 = 0.
-4/5, 2, 3
Let d**4 - 89*d**3 + 87*d**2 + 89*d - 88 = 0. What is d?
-1, 1, 88
Determine l, given that -2*l**3/3 + 466*l**2/3 + 940*l/3 = 0.
-2, 0, 235
Factor 4*x**2/5 + 496*x/5 - 1524/5.
4*(x - 3)*(x + 127)/5
Let 2*i**5/9 + 674*i**4/9 + 56446*i**3/9 - 57122*i**2/9 = 0. What is i?
-169, 0, 1
Find q such that -3*q**4 - 33*q**3 - 45*q**2 + 81*q = 0.
-9, -3, 0, 1
Factor -w**4/10 - 27*w**3/5 + 171*w**2/10.
-w**2*(w - 3)*(w + 57)/10
Determine n, given that -n**2/2 - 1366*n - 932978 = 0.
-1366
Find c, given that -39*c**3/7 + 36*c**2/7 + 3*c/7 = 0.
-1/13, 0, 1
Find g, given that g**3/2 + 200*g**2 = 0.
-400, 0
Factor -j**5/4 - 74*j**4 - 21001*j**3/4 + 66595*j**2/2 - 67799*j + 45602.
-(j - 2)**3*(j + 151)**2/4
Determine b so that -2*b**3 - 32*b**2 - 160*b - 256 = 0.
-8, -4
Solve -3*u**2/4 + 81*u/4 = 0 for u.
0, 27
Let 3*d**5 + 75*d**4 + 138*d**3 - 6*d**2 - 141*d - 69 = 0. What is d?
-23, -1, 1
Factor 4*z**4 - 292*z**3 + 4872*z**2 + 16720*z + 11552.
4*(z - 38)**2*(z + 1)*(z + 2)
Factor -2*i**3/11 - 14*i**2/11 + 10*i/11 + 150/11.
-2*(i - 3)*(i + 5)**2/11
Factor o**2/2 + 247*o + 61009/2.
(o + 247)**2/2
Determine m, given that 2*m**4/3 - 16*m**3/3 - 116*m**2/3 - 176*m/3 - 26 = 0.
-3, -1, 13
Factor -u**2/3 + 24*u + 73/3.
-(u - 73)*(u + 1)/3
Factor -i**3/5.
-i**3/5
Suppose -2*d**5/5 + 32*d**4/5 + 8*d**3 - 20*d**2 - 38*d/5 + 68/5 = 0. What is d?
-2, -1, 1, 17
Solve -4*i**2 - 2472*i - 381924 = 0.
-309
Determine j so that j**3/3 + 4*j**2 - 68*j + 352/3 = 0.
-22, 2, 8
Factor y**4/7 - 2*y**3 + 48*y**2/7 + 2*y - 7.
(y - 7)**2*(y - 1)*(y + 1)/7
Let -2*r**3/7 + 1866*r**2/7 - 580326*r/7 + 60160462/7 = 0. Calculate r.
311
Factor t**5 + 30*t**4 + 253*t**3 + 420*t**2 + 196*t.
t*(t + 1)**2*(t + 14)**2
Factor 5*z**4 - 55*z**3 - 70*z**2 + 120*z.
5*z*(z - 12)*(z - 1)*(z + 2)
Factor c**5/5 + 33*c**4/5 + 122*c**3/5 + 178*c**2/5 + 117*c/5 + 29/5.
(c + 1)**4*(c + 29)/5
Factor -5*o**4 - 6260*o**3 - 2939070*o**2 - 613285940*o - 47989624805.
-5*(o + 313)**4
Suppose 2*c**2 - 1330*c = 0. What is c?
0, 665
Let 24*h**3 - 44*h**2 + 20*h = 0. Calculate h.
0, 5/6, 1
Factor 28*h**3/3 - 412*h**2/3 - 568*h/3 - 128/3.
4*(h - 16)*(h + 1)*(7*h + 2)/3
Factor -2*y**4 + 126*y**3 - 906*y**2 + 1442*y - 660.
-2*(y - 55)*(y - 6)*(y - 1)**2
Factor 3*r**2 - 39*r - 270.
3*(r - 18)*(r + 5)
Solve -f**4 + 4*f**3 + f**2 - 4*f = 0.
-1, 0, 1, 4
Factor -2*t**3/7 - 30*t**2/7 - 4*t.
-2*t*(t + 1)*(t + 14)/7
Determine v so that -27*v**5 + 144*v**4 - 156*v**3 + 48*v**2 = 0.
0, 2/3, 4
Factor 4*q**3 - 260*q**2 + 2300*q - 5500.
4*(q - 55)*(q - 5)**2
Let 21*x**3/2 + 537*x**2 + 1203*x/2 + 75 = 0. What is x?
-50, -1, -1/7
Factor -2*q**4/11 - 42*q**3/11 + 138*q**2/11 - 142*q/11 + 48/11.
-2*(q - 1)**3*(q + 24)/11
Factor y**4/9 - 4*y**3 + 95*y**2/3 + 722*y/9.
y*(y - 19)**2*(y + 2)/9
Determine w so that -2*w**2/3 + 2128*w/3 + 4264/3 = 0.
-2, 1066
Factor 4*u**4 - 156*u**3 - 324*u**2 - 164*u.
4*u*(u - 41)*(u + 1)**2
What is u in 3*u**4 + 3*u**3 - 3*u**2 - 3*u = 0?
-1, 0,