 3*j**4 + 7*j**3 + 3*j**2 - 2*j = 0.
-1, 0, 2/5, 1
Suppose -n**2/3 + 278*n/3 - 277/3 = 0. What is n?
1, 277
Factor -4*h**3 + 52*h**2 - 56*h - 352.
-4*(h - 11)*(h - 4)*(h + 2)
Factor y**3/3 + 23*y**2/3 + 14*y.
y*(y + 2)*(y + 21)/3
Factor 5*t**2 - 205*t + 390.
5*(t - 39)*(t - 2)
Factor -x**4/4 + 3*x**2/4 + x/2.
-x*(x - 2)*(x + 1)**2/4
Factor 52*v**3 - 368*v**2 + 340*v - 24.
4*(v - 6)*(v - 1)*(13*v - 1)
Factor 4*l**4 + 168*l**3 - 348*l**2 + 176*l.
4*l*(l - 1)**2*(l + 44)
Factor 2*n**2 - 1172*n.
2*n*(n - 586)
Factor 2*d**2/3 + 22*d/3 - 52/3.
2*(d - 2)*(d + 13)/3
Find u such that u**5/6 + 10*u**4/3 - u**3/2 - 31*u**2/3 - 20*u/3 = 0.
-20, -1, 0, 2
Factor -2*f**4/3 + 14*f**3 - 38*f**2 + 110*f/3 - 12.
-2*(f - 18)*(f - 1)**3/3
Let -20*l**5/3 + 208*l**4/3 - 140*l**3 - 424*l**2/3 + 224*l/3 = 0. What is l?
-1, 0, 2/5, 4, 7
Factor -d**3/3 - 329*d**2/3 - 26560*d/3 + 27556.
-(d - 3)*(d + 166)**2/3
Suppose x**4/6 - x**3/2 - 39*x**2/2 + 707*x/6 - 98 = 0. Calculate x.
-12, 1, 7
Suppose -3*t**2 - 84*t + 279 = 0. Calculate t.
-31, 3
Determine z so that 6*z**3/5 - 8*z**2/5 + 2*z/5 = 0.
0, 1/3, 1
Let -3*z**3 + 84*z**2 - 159*z + 78 = 0. Calculate z.
1, 26
Let 4*z**4/3 + 56*z**3/3 + 260*z**2/3 + 448*z/3 + 80 = 0. What is z?
-6, -5, -2, -1
Factor 5*o**3 - 345*o**2 - 3000*o - 6160.
5*(o - 77)*(o + 4)**2
Factor -3*u**3/2 + 93*u**2 - 672*u + 1296.
-3*(u - 54)*(u - 4)**2/2
Find g, given that -18*g**5/13 - 6*g**4/13 + 460*g**3/13 + 148*g**2/13 - 250*g/13 + 50/13 = 0.
-5, -1, 1/3, 5
Let 3*m**5 - 15*m**4 - 51*m**3 + 63*m**2 = 0. Calculate m.
-3, 0, 1, 7
Factor -3*q**2/2 + 60*q + 123/2.
-3*(q - 41)*(q + 1)/2
Let -2*n**4/5 - 26*n**3 + 134*n**2/5 + 26*n - 132/5 = 0. Calculate n.
-66, -1, 1
Let 114*p**2/13 - 94*p/13 - 20/13 = 0. Calculate p.
-10/57, 1
Let -7*w**2/2 + 5*w/2 + 1 = 0. Calculate w.
-2/7, 1
Find m such that -35*m**2 + 1150*m - 960 = 0.
6/7, 32
Suppose 15*n**5 + 20*n**4 - 5*n**3 - 10*n**2 = 0. What is n?
-1, 0, 2/3
Factor 10*i**3 + 2275*i**2 - 5765*i - 3450.
5*(i - 3)*(i + 230)*(2*i + 1)
Let k**2/7 + 89*k/7 - 90/7 = 0. What is k?
-90, 1
Factor 2*y**3 - 68*y**2 - 382*y - 312.
2*(y - 39)*(y + 1)*(y + 4)
Solve 32*f**5 - 176*f**4 - 574*f**3 - 508*f**2 - 158*f - 16 = 0 for f.
-1, -1/4, 8
Factor -15*m**2/7 - 36*m/7 - 3.
-3*(m + 1)*(5*m + 7)/7
Determine u so that -2*u**5/7 - 16*u**4/7 + 124*u**2/7 + 194*u/7 + 12 = 0.
-7, -2, -1, 3
Solve -v**4/8 - 4*v**3 + 181*v**2/8 - 37*v/2 = 0.
-37, 0, 1, 4
Let -3*x**4 - 15*x**3 + 183*x**2 - 165*x = 0. Calculate x.
-11, 0, 1, 5
Let 10*w**4 + 75*w**3 + 10*w**2 - 165*w + 70 = 0. Calculate w.
-7, -2, 1/2, 1
Factor 3*u**2 + 2658*u + 588747.
3*(u + 443)**2
Suppose 4*o**5 - 24*o**4 + 52*o**3 - 48*o**2 + 16*o = 0. Calculate o.
0, 1, 2
Factor -8*k**3 + 17*k**2 + 22*k - 3.
-(k - 3)*(k + 1)*(8*k - 1)
Solve -14*w**4/11 - 332*w**3/11 - 18*w**2 + 728*w/11 - 184/11 = 0 for w.
-23, -2, 2/7, 1
Solve 9*n**3/5 - 3*n**2/5 - 12*n - 36/5 = 0.
-2, -2/3, 3
Factor -5*z**2/3 - 95*z/3 + 1300.
-5*(z - 20)*(z + 39)/3
Suppose 2*q**5 - 10*q**4 + 14*q**3 - 6*q**2 = 0. What is q?
0, 1, 3
Factor 2*z**4 - 133*z**3 + 2241*z**2 - 891*z - 3267.
(z - 33)**2*(z + 1)*(2*z - 3)
Determine o, given that 40*o**5/7 + 146*o**4/7 - 1038*o**3/7 - 716*o**2/7 - 16*o = 0.
-7, -2/5, -1/4, 0, 4
Factor -4*r**5 - 16*r**4 + 56*r**2 + 68*r + 24.
-4*(r - 2)*(r + 1)**3*(r + 3)
Find d, given that 2*d**2/11 + 18*d/11 + 40/11 = 0.
-5, -4
Factor 5*g**2 - 26080*g + 34008320.
5*(g - 2608)**2
Let 2*s**3/9 + 46*s**2/9 + 286*s/9 + 242/9 = 0. What is s?
-11, -1
Factor 2*i**4/7 + 120*i**3/7 + 118*i**2/7.
2*i**2*(i + 1)*(i + 59)/7
Let 5*d**5 - 465*d**4 + 11040*d**3 - 10580*d**2 = 0. What is d?
0, 1, 46
Find v such that -9*v**4/2 - 3*v**3 + 57*v**2/2 - 9*v = 0.
-3, 0, 1/3, 2
Factor -224*s**2 - 114*s - 1.
-(2*s + 1)*(112*s + 1)
Factor 5*b**2 + 340*b + 1575.
5*(b + 5)*(b + 63)
Suppose d**3 - 20*d**2 - d + 20 = 0. Calculate d.
-1, 1, 20
Factor 2*o**4 + 142*o**3 + 140*o**2.
2*o**2*(o + 1)*(o + 70)
Solve 2*i**3/13 + 366*i**2/13 + 16560*i/13 - 16928/13 = 0 for i.
-92, 1
Factor -124*r**3 + 2736*r**2 - 15180*r + 968.
-4*(r - 11)**2*(31*r - 2)
Solve 3*h**2 - 6036*h - 6039 = 0.
-1, 2013
Suppose -141*n**3/7 - 276*n**2/7 + 12*n/7 = 0. Calculate n.
-2, 0, 2/47
Determine n so that -2*n**5/15 + 2*n**4/3 - 2*n**3/5 - 2*n**2/3 + 8*n/15 = 0.
-1, 0, 1, 4
Factor 2*t**4/5 + 14*t**3/5 + 2*t**2 - 14*t/5 - 12/5.
2*(t - 1)*(t + 1)**2*(t + 6)/5
Solve -3*b**3 + 57*b**2 + 1083*b - 20577 = 0.
-19, 19
Factor -4*b**3 - 20*b**2 - 16*b.
-4*b*(b + 1)*(b + 4)
Factor 6724*i**5 - 14104*i**4 + 8052*i**3 - 688*i**2 + 16*i.
4*i*(i - 1)**2*(41*i - 2)**2
Solve 5*f**2/2 - 155*f/2 + 325 = 0.
5, 26
Solve -4*g**4/3 + 52*g**3/3 = 0.
0, 13
Factor -2*u**4 - 52*u**3 + 58*u**2 + 108*u.
-2*u*(u - 2)*(u + 1)*(u + 27)
Factor 7*v**3/2 + 445*v**2/2 + 3488*v - 1536.
(v + 32)**2*(7*v - 3)/2
Find d such that -5*d**4 + 35*d**3 + 140*d**2 + 100*d = 0.
-2, -1, 0, 10
What is d in d**2 - 2025*d/7 + 578/7 = 0?
2/7, 289
Determine p so that p**4 + 7*p**3 + 6*p**2 = 0.
-6, -1, 0
Suppose 4*k**5 - 124*k**4 + 1132*k**3 - 2692*k**2 + 2464*k - 784 = 0. Calculate k.
1, 14
Let -5*d**4 - 65*d**3 - 305*d**2 - 615*d - 450 = 0. Calculate d.
-5, -3, -2
Let h**2/2 + 34*h - 69/2 = 0. Calculate h.
-69, 1
Factor -16*r**4 + 76*r**3 - 112*r**2 + 48*r.
-4*r*(r - 2)**2*(4*r - 3)
What is a in a**3/5 - 27*a**2/5 + 51*a/5 - 5 = 0?
1, 25
Factor -w**2/3 + 2*w/3 + 21.
-(w - 9)*(w + 7)/3
Suppose -3*u**4 + 78*u**3 - 504*u**2 - 78*u + 507 = 0. Calculate u.
-1, 1, 13
Determine a, given that -a**5/7 - 5*a**4/7 + 2*a**3/7 + 4*a**2 + 8*a/7 - 32/7 = 0.
-4, -2, 1, 2
Find d such that -2*d**3/15 - 32*d**2/15 + 88*d/5 = 0.
-22, 0, 6
Factor -4*d**3 + 8*d**2 - 4*d.
-4*d*(d - 1)**2
Find n, given that 5*n**4 - 55*n**3 + 5*n**2 + 495*n - 450 = 0.
-3, 1, 3, 10
Let -2*u**3 + 18*u**2 + 872*u - 1800 = 0. What is u?
-18, 2, 25
Factor -2*j**2/9 - 374*j/9 - 740/9.
-2*(j + 2)*(j + 185)/9
Factor -3*v**3 - 27*v**2 + 324.
-3*(v - 3)*(v + 6)**2
Factor -x**2 - 23*x.
-x*(x + 23)
Let -g**4/2 - 3*g**3/2 + 29*g**2/2 + 3*g/2 - 14 = 0. Calculate g.
-7, -1, 1, 4
Find x, given that -4*x**3 - 1000*x**2/7 + 288*x/7 = 0.
-36, 0, 2/7
Factor 3*o**3 - 12*o**2 + 15*o - 6.
3*(o - 2)*(o - 1)**2
What is p in -28*p**5 - 636*p**4 + 268*p**3 + 1964*p**2 + 720*p - 368 = 0?
-23, -1, 2/7, 2
Suppose -m**3/3 - 19*m**2/3 + 41*m/3 - 7 = 0. Calculate m.
-21, 1
Factor -2*r**3/25 + 58*r**2/5 + 292*r/25.
-2*r*(r - 146)*(r + 1)/25
Factor -36*n**5 - 1608*n**4 - 16852*n**3 + 24656*n**2 - 8464*n.
-4*n*(n + 23)**2*(3*n - 2)**2
Factor -2*n**2/7 - 1460*n/7 - 1458/7.
-2*(n + 1)*(n + 729)/7
Determine m, given that -2*m**2 - 3466*m = 0.
-1733, 0
Determine h, given that 144*h**5/5 - 724*h**4/5 - 132*h**3/5 + 764*h**2/5 - 12*h/5 - 8 = 0.
-1, -2/9, 1/4, 1, 5
Suppose -2*z**2 - 14*z - 24 = 0. Calculate z.
-4, -3
What is j in j**3/3 - 10*j**2/3 + 19*j/3 + 10 = 0?
-1, 5, 6
Determine n, given that 5*n**4 + 95*n**3 - 100*n**2 = 0.
-20, 0, 1
Find q, given that 2*q**3/7 + 218*q**2/7 + 640*q/7 + 424/7 = 0.
-106, -2, -1
Suppose 12*a**3/7 - 110*a**2/7 + 28*a - 14 = 0. What is a?
1, 7/6, 7
Factor -3*u**3/4 - 999*u**2/4 - 110889*u/4 - 4102893/4.
-3*(u + 111)**3/4
Suppose 2*s**4/15 - 8*s**3/3 - 8*s**2/5 + 512*s/15 - 128/3 = 0. Calculate s.
-4, 2, 20
Factor 3*c**3/4 - 3*c**2/2 - 21*c/4 - 3.
3*(c - 4)*(c + 1)**2/4
Factor 2*o**4/9 - 2*o**3/3 - 4*o**2 - 8*o/9 + 16/3.
2*(o - 6)*(o - 1)*(o + 2)**2/9
What is j in -2*j**2/9 + 26*j/3 - 676/9 = 0?
13, 26
Factor -4*c**5 - 8*c**4 + 32*c**3 - 8*c**2 - 28*c + 16.
-4*(c - 1)**3*(c + 1)*(c + 4)
Factor -4*u**3 + 668*u**2 + 2056*u - 2720.
-4*(u - 170)*(u - 1)*(u + 4)
What is p in 3*p**2/5 - 7416*p/5 + 4583088/5 = 0?
1236
Determine z so that 4*z**4 + 24*z**3 - 60*z**2 - 176*z + 336 = 0.
-7, -3, 2
Factor 3*k**3/2 - 882*k - 8232.
3*(k - 28)*(k + 14)**2/2
Factor 2*t**4/7 - 2*t**3 + 16*t**2/7 + 32*t/7.
2*t*(t - 4)**2*(t + 1)/7
Let -3*i**5/5 - 36*i**4/5 + 6*i**3 + 1668*i**2/5 + 1161*i + 840 = 0. What is i?
-8, -5, -1, 7
Let -7803*n**4/7 - 102051*n**3/7 - 7968*n**2/7 - 156*n/7 = 0. What is n?
-13, -2/51, 0
Suppose 8*s**4 - 180*s**3 - 2144*s**2 + 1116*s = 0. Calculate s.
-9, 0, 1/2, 31
Solve -5*s**3 - 150*s**2 - 135*s + 290 = 0.
-29, -2, 1
Solve 459*t**3 - 1557*t**2/5 + 273*t/5 - 3/5 = 0.
1/85, 1/3
Suppose 32*y**3/5 + 3824*y**2/5 + 5682*y/5 + 2124/5 = 0. Calcu