-2, -1, 3, 42
Find v such that 3*v**4/2 - 27*v**3/2 + 21*v**2/2 + 27*v/2 - 12 = 0.
-1, 1, 8
Solve -2*v**3/7 + 22*v**2 - 3040*v/7 + 2888/7 = 0.
1, 38
Solve -12*u**5 - 166*u**4 - 800*u**3 - 1542*u**2 - 920*u + 200 = 0.
-5, -2, 1/6
Factor x**3 + 227*x**2 + 12995*x + 12769.
(x + 1)*(x + 113)**2
Find u, given that -4*u**4 - 376*u**3 = 0.
-94, 0
What is x in 5*x**4 + 85*x**3 + 255*x**2 - 785*x + 440 = 0?
-11, -8, 1
Determine k, given that 5*k**4 - 35*k**3 - 85*k**2 - 45*k = 0.
-1, 0, 9
Factor -4*l**2 - 76*l.
-4*l*(l + 19)
Factor -7*l**4 - 86*l**3 - 339*l**2 - 440*l - 100.
-(l + 2)*(l + 5)**2*(7*l + 2)
Factor 5*m**2 + 1310*m.
5*m*(m + 262)
Suppose 2*y**5/5 + 6*y**4/5 = 0. Calculate y.
-3, 0
Factor -3*a**5 + 72*a**4 - 498*a**3 + 792*a**2 - 363*a.
-3*a*(a - 11)**2*(a - 1)**2
Let -4*v**3/7 - 24*v**2 - 156*v/7 + 328/7 = 0. Calculate v.
-41, -2, 1
Factor -9*s**2/2 + s/2.
-s*(9*s - 1)/2
Factor 2*l**2/3 - 62*l/3 + 116/3.
2*(l - 29)*(l - 2)/3
Find z such that -2*z**3/9 + 80*z**2/9 + 346*z/9 + 88/3 = 0.
-3, -1, 44
Factor 2*a**3 - 1652*a**2 + 339480*a + 685584.
2*(a - 414)**2*(a + 2)
Find b, given that -2*b**3/11 + 2*b**2/11 + 84*b/11 = 0.
-6, 0, 7
Solve -5*t**3 + 285*t**2 + 1970*t - 5040 = 0.
-8, 2, 63
Find t such that -4*t**2 - 12*t = 0.
-3, 0
Determine h, given that h**5 - 83*h**4 + 159*h**3 + 247*h**2 - 320*h - 324 = 0.
-1, 2, 81
Solve -2*z**3/9 + 32*z**2/3 - 58*z + 84 = 0 for z.
3, 42
Factor 4*n**3 - 32*n**2 - 3248*n - 28224.
4*(n - 36)*(n + 14)**2
Let -6*a**5 - 75*a**4 - 306*a**3 - 459*a**2 - 162*a = 0. Calculate a.
-6, -3, -1/2, 0
What is h in 2*h**3/15 + 188*h**2/15 + 1408*h/5 - 3072/5 = 0?
-48, 2
Find j such that -4*j**2 + 76*j = 0.
0, 19
Factor -4*v**4/7 + 3076*v**3/7 - 795528*v**2/7 + 70967600*v/7 - 65548256.
-4*(v - 254)**3*(v - 7)/7
Determine r, given that -5*r**5 - 15*r**4 + 5*r**3 + 35*r**2 - 20 = 0.
-2, -1, 1
Find k, given that -14*k**4 - 60*k**3 - 58*k**2 - 12*k = 0.
-3, -1, -2/7, 0
Solve 5*d**2 - 440*d + 435 = 0 for d.
1, 87
Determine z so that -z**2/4 - 23*z/4 + 6 = 0.
-24, 1
Factor o**5/4 - 10*o**4 + 78*o**3 + 440*o**2 + 484*o.
o*(o - 22)**2*(o + 2)**2/4
Factor -5*f**3 + 20*f**2 + 15*f - 90.
-5*(f - 3)**2*(f + 2)
Factor -x**4/6 + x**3/3 + 2*x**2/3 - x/3 - 1/2.
-(x - 3)*(x - 1)*(x + 1)**2/6
Suppose -5*b**2 + 75*b - 70 = 0. Calculate b.
1, 14
Let -5*h**2 + 15115*h - 15110 = 0. Calculate h.
1, 3022
Factor -8*f**5 - 308*f**4 + 802*f**3 - 731*f**2 + 286*f - 41.
-(f - 1)*(f + 41)*(2*f - 1)**3
Suppose 2*m**2/3 + 56*m/3 = 0. Calculate m.
-28, 0
Factor 2*j**2/5 - 952*j.
2*j*(j - 2380)/5
Find n, given that -5*n**5 + 95*n**4 - 80*n**3 - 180*n**2 = 0.
-1, 0, 2, 18
Determine y so that -y**3/4 + 21*y**2/4 + 6*y - 11 = 0.
-2, 1, 22
Determine v, given that -v**2/3 + 132*v - 13068 = 0.
198
Solve -q**4/8 + q**3/2 - 5*q**2/8 + q/4 = 0 for q.
0, 1, 2
Factor -v**2/3 + 362*v/3 - 240.
-(v - 360)*(v - 2)/3
Factor p**2 + 7076*p + 12517444.
(p + 3538)**2
Let j**3/4 + 7*j**2/4 - 10*j + 11 = 0. What is j?
-11, 2
Factor -4*r**2/5 + 84*r/5 - 272/5.
-4*(r - 17)*(r - 4)/5
Suppose -g**2/5 + 235*g = 0. What is g?
0, 1175
What is h in -3*h**2 - 825*h - 822 = 0?
-274, -1
Factor 5*l**4 + 50*l**3 + 40*l**2 - 320*l.
5*l*(l - 2)*(l + 4)*(l + 8)
Factor 2*f**2 + 88*f + 86.
2*(f + 1)*(f + 43)
Factor -27*d**4 + 111*d**3 + 123*d**2 - 15*d.
-3*d*(d - 5)*(d + 1)*(9*d - 1)
Suppose 3*b**2 - 96*b = 0. What is b?
0, 32
Determine j so that 4*j**2 + 9096*j + 5171076 = 0.
-1137
Solve -3*y**2 - 87*y + 3150 = 0.
-50, 21
What is l in -l**4 - 6*l**3 + 20*l**2 + 150*l + 125 = 0?
-5, -1, 5
Factor q**3 - 139*q**2 + 5032*q - 13872.
(q - 68)**2*(q - 3)
Solve -3*g**5 - 141*g**4 + 753*g**3 - 1383*g**2 + 1086*g - 312 = 0.
-52, 1, 2
Let 18*f**2 + 208*f + 344 = 0. What is f?
-86/9, -2
Find o, given that -4*o**2 - 12*o + 432 = 0.
-12, 9
Factor q**2/2 + 2741*q + 7513081/2.
(q + 2741)**2/2
Suppose -144*x**3 - 96*x**2 + 44*x - 4 = 0. What is x?
-1, 1/6
Factor h**2/2 - 199*h/2 - 100.
(h - 200)*(h + 1)/2
What is p in 242*p**3/3 + 98186*p**2/3 + 3336032*p + 3303384 = 0?
-2226/11, -1
Determine c, given that -2*c**3/9 + 32*c**2/9 + 70*c/9 + 4 = 0.
-1, 18
Factor -z**2 - 86*z - 1560.
-(z + 26)*(z + 60)
Suppose -2*v**4/3 + 14*v**3 + 64*v**2/3 - 152*v + 352/3 = 0. Calculate v.
-4, 1, 2, 22
Solve 3*d**5/2 - d**4/6 - 5*d**3/3 = 0 for d.
-1, 0, 10/9
Find p such that -2*p**4/11 + 48*p**3/11 - 206*p**2/11 + 312*p/11 - 152/11 = 0.
1, 2, 19
Let 4*h**5 - 104*h**4 + 700*h**3 + 1400*h**2 - 22000*h + 20000 = 0. Calculate h.
-5, 1, 10
Find m such that 16*m**5/7 - 104*m**4/7 + 36*m**3/7 + 82*m**2/7 - 62*m/7 + 12/7 = 0.
-1, 1/2, 6
Factor 5*q**3/3 + 43*q**2/3 + 82*q/3 - 40/3.
(q + 4)*(q + 5)*(5*q - 2)/3
Factor 29*c**2/2 + 65*c + 28.
(c + 4)*(29*c + 14)/2
Factor -5*f**4 + 335*f**3 + 1395*f**2 + 1765*f + 710.
-5*(f - 71)*(f + 1)**2*(f + 2)
Solve 2*i**2/3 - 3056*i/3 + 1167392/3 = 0.
764
Suppose 4*w**5 + 12*w**4 - 16*w**2 = 0. Calculate w.
-2, 0, 1
Factor -z**4/3 - z**3/3 + z**2/3 + z/3.
-z*(z - 1)*(z + 1)**2/3
Solve -2*t**3/5 + 184*t**2/5 + 8*t/5 - 736/5 = 0.
-2, 2, 92
Find i, given that 2*i**3/9 - 98*i**2/9 - 416*i/9 - 424/9 = 0.
-2, 53
Determine h so that 66*h**2 + 2319*h/7 + 45/7 = 0.
-5, -3/154
Factor 20*r**4 - 15*r**3.
5*r**3*(4*r - 3)
What is q in 5*q**2 - 22060*q + 24332180 = 0?
2206
Find g, given that 21*g**4 - 36*g**3 - 75*g**2 - 18*g = 0.
-1, -2/7, 0, 3
Suppose -9*h**5 + 15*h**4 + 53*h**3 - 163*h**2 + 152*h - 48 = 0. Calculate h.
-3, 1, 4/3
Factor 5*h**3 - 510*h**2 + 17340*h - 196520.
5*(h - 34)**3
Determine s, given that 5*s**3 + 330*s**2 - 1385*s + 1050 = 0.
-70, 1, 3
Factor -4*c**4 - 264*c**3 - 4752*c**2 - 10168*c + 80724.
-4*(c - 3)*(c + 7)*(c + 31)**2
Find l such that 45*l**5 - 1776*l**4 + 15144*l**3 + 46638*l**2 + 37611*l + 7938 = 0.
-6/5, -1, -1/3, 21
Solve -2*l**4/5 - 32*l**3/5 - 28*l**2/5 + 32*l/5 + 6 = 0 for l.
-15, -1, 1
Solve -2*w**5 - 26*w**4 - 76*w**3 - 28*w**2 + 78*w + 54 = 0.
-9, -3, -1, 1
What is h in 2*h**2/11 + 112*h = 0?
-616, 0
Find y, given that 2*y**3 + 222*y**2 + 7200*y + 55000 = 0.
-50, -11
Solve 3*c**3 + 1257*c**2 + 131040*c - 132300 = 0 for c.
-210, 1
Solve 5*j**2 - 225*j + 2080 = 0 for j.
13, 32
Factor -i**3/4 - 85*i**2/4 - 462*i - 441.
-(i + 1)*(i + 42)**2/4
What is w in 2*w**5/9 + 10*w**4/9 + 16*w**3/9 + 8*w**2/9 = 0?
-2, -1, 0
Factor 2*z**3 - 10414*z**2 + 20822*z - 10410.
2*(z - 5205)*(z - 1)**2
Let 5*u**5/4 - 675*u**4/2 + 44195*u**3/2 + 92135*u**2 + 466485*u/4 + 93845/2 = 0. Calculate u.
-2, -1, 137
Suppose -9*m**4/2 - 789*m**3 + 5871*m**2/2 - 3216*m + 1074 = 0. What is m?
-179, 2/3, 1, 2
Factor -h**3 - 41*h**2 + 42*h.
-h*(h - 1)*(h + 42)
Let -d**2/7 + 46*d/7 - 529/7 = 0. Calculate d.
23
Solve -2*g**5/9 - 544*g**4/9 - 50204*g**3/9 - 1649704*g**2/9 - 7239794*g/9 - 5639752/9 = 0 for g.
-89, -4, -1
Factor 2*j**3/17 - 16*j**2/17 - 24*j/17 + 288/17.
2*(j - 6)**2*(j + 4)/17
Suppose -f**4 + 835*f**3/3 + 747*f**2 + 655*f + 562/3 = 0. Calculate f.
-1, -2/3, 281
Determine g so that -6*g**5/23 - 22*g**4/23 + 50*g**3/23 + 2*g**2 - 20*g/23 = 0.
-5, -1, 0, 1/3, 2
Suppose -4*r**4/3 - 28*r**3/3 + 40*r**2/3 + 64*r/3 = 0. Calculate r.
-8, -1, 0, 2
Suppose 4*u**2 + 364*u - 1128 = 0. What is u?
-94, 3
Factor 2*n**4 + 14*n**3 - 28*n**2 - 96*n.
2*n*(n - 3)*(n + 2)*(n + 8)
Factor 2*m**2 - 412*m - 414.
2*(m - 207)*(m + 1)
Factor -3*i**4 + 603*i**3 + 1215*i**2 + 609*i.
-3*i*(i - 203)*(i + 1)**2
Factor 4*i**2 + 8*i.
4*i*(i + 2)
Determine u so that u**4 + 10*u**3 + 28*u**2 + 24*u = 0.
-6, -2, 0
Suppose 2*s**4/5 - 142*s**3/5 + 2116*s**2/5 + 15352*s/5 - 17328/5 = 0. What is s?
-6, 1, 38
Factor -4*t**3 - 68*t**2 + 516*t - 828.
-4*(t - 3)**2*(t + 23)
Factor -2*j**3/21 + 34*j**2/7 + 212*j/21.
-2*j*(j - 53)*(j + 2)/21
Determine i so that -3*i**2 + 123*i - 342 = 0.
3, 38
Factor -4*d**2 + 196*d + 2360.
-4*(d - 59)*(d + 10)
Suppose 22*v**5/3 + 752*v**4/3 + 8848*v**3/3 + 38852*v**2/3 + 36058*v/3 + 5324/3 = 0. What is v?
-11, -1, -2/11
What is x in -2*x**5/15 - 68*x**4/15 - 40*x**3 - 1648*x**2/15 - 1408*x/15 = 0?
-22, -8, -2, 0
Factor -35*v**3 + 1670*v**2 - 19680*v - 5760.
-5*(v - 24)**2*(7*v + 2)
Factor 14*j**3 + 32*j**2 + 8*j.
2*j*(j + 2)*(7*j + 2)
Factor 3*i**4/2 + 9*i**3 - 3*i**2/2 - 9*i.
3*i*(i - 1)*(i + 1)*(i + 6)/2
Determine r so that -21*r**4 + 69*r**3 + 66*r**2 - 24*r = 0.
-1, 0, 2/7, 4
Factor j**2 + 30*j + 29.
(j + 1)*