*2 + 11052*a - 10178892 = 0.
1842
Solve -2*b**5/9 + 10*b**4/9 + 26*b**3/9 + 14*b**2/9 = 0.
-1, 0, 7
Find l such that l**5/4 + 23*l**4/8 - 55*l**2/4 + 59*l/4 - 33/8 = 0.
-11, -3, 1/2, 1
Suppose -168*q**4 + 123*q**3 + 810*q**2 + 579*q + 60 = 0. Calculate q.
-1, -1/8, 20/7
Factor 2*m**3/9 + 2*m**2 + 4*m.
2*m*(m + 3)*(m + 6)/9
Find o such that -5*o**4 - 5*o**3 = 0.
-1, 0
Suppose 16*y**3/19 + 2*y**2/19 - 16*y/19 - 2/19 = 0. Calculate y.
-1, -1/8, 1
Factor -92455*l**3 - 5125*l**2/3 + 245*l/3 + 5/3.
-5*(33*l - 1)*(41*l + 1)**2/3
Factor 2*j**3/3 - 118*j**2/3 + 112*j/3 + 232/3.
2*(j - 58)*(j - 2)*(j + 1)/3
What is p in -4*p**3/3 + 1934*p**2 - 935089*p + 904231063/6 = 0?
967/2
Factor 2*v**3 + 44*v**2 + 182*v + 204.
2*(v + 2)*(v + 3)*(v + 17)
Suppose t**4/4 - 13*t**3/4 - 4*t**2 + 7*t = 0. Calculate t.
-2, 0, 1, 14
Determine h, given that 243*h**5/5 + 1242*h**4/5 + 369*h**3 + 186*h**2 + 12*h/5 - 72/5 = 0.
-3, -1, -2/3, 2/9
Factor -x**3/7 + 177*x**2/7 - 176*x/7.
-x*(x - 176)*(x - 1)/7
Factor -n**4/4 + 2*n**3 - 23*n**2/4 + 7*n - 3.
-(n - 3)*(n - 2)**2*(n - 1)/4
Factor 2*d**2/3 + 56*d/3 + 130.
2*(d + 13)*(d + 15)/3
Suppose m**2 - 538*m + 2136 = 0. Calculate m.
4, 534
Determine r, given that -3*r**5/7 - 45*r**4/7 - 33*r**3/7 + 129*r**2/7 + 36*r/7 - 12 = 0.
-14, -2, -1, 1
Factor 2*l**2/3 + 24*l + 136/3.
2*(l + 2)*(l + 34)/3
Suppose 4*s**4/5 - 612*s**3/5 + 5244*s**2/5 - 1708*s - 2880 = 0. What is s?
-1, 5, 144
Solve n**4/2 - 93*n**3/2 + 89*n**2 + 186*n - 364 = 0.
-2, 2, 91
Find j such that -4*j**4/7 - 92*j**3/7 - 712*j**2/7 - 2064*j/7 - 1440/7 = 0.
-10, -6, -1
Factor n**3/3 + 71*n**2/3 + 184*n/3 - 14812.
(n - 21)*(n + 46)**2/3
Factor n**2/3 - 25*n/3.
n*(n - 25)/3
Find v such that v**4/9 - 13*v**3/9 + 46*v**2/9 - 16*v/3 = 0.
0, 2, 3, 8
Determine b so that b**4/2 + 5*b**3/2 - 3*b**2/2 - 45*b/2 - 27 = 0.
-3, -2, 3
Let -m**4/2 - 9*m**3/2 - 13*m**2 - 12*m = 0. Calculate m.
-4, -3, -2, 0
Let 3*z**3/4 - 12*z**2 + 123*z/4 - 39/2 = 0. Calculate z.
1, 2, 13
Find w, given that -2*w**2 - 40*w - 192 = 0.
-12, -8
Suppose -2*f**2/7 + 202*f/7 + 412/7 = 0. Calculate f.
-2, 103
Factor i**4 + 94*i**3/3 - 64*i**2/3.
i**2*(i + 32)*(3*i - 2)/3
Let 2*h**2/5 - 20*h + 98/5 = 0. Calculate h.
1, 49
Factor -3*x**5 + 393*x**4 - 1524*x**3.
-3*x**3*(x - 127)*(x - 4)
Solve 144*l**5/7 + 338*l**4/7 - 40*l**3/7 - 330*l**2/7 - 104*l/7 - 8/7 = 0 for l.
-2, -1, -2/9, -1/8, 1
Suppose 8*l**5 - 12*l**4 - 4*l**3 + 12*l**2 - 4*l = 0. Calculate l.
-1, 0, 1/2, 1
Solve -5*w**2 + 190*w - 185 = 0.
1, 37
What is i in 2*i**2 + 52*i - 310 = 0?
-31, 5
Factor h**5/5 - 4*h**4/5 + 3*h**3/5 + 4*h**2/5 - 4*h/5.
h*(h - 2)**2*(h - 1)*(h + 1)/5
Determine r, given that -r**2/2 - 27*r/2 - 46 = 0.
-23, -4
Let g**4/5 - 37*g**3/5 - 118*g**2/5 - 16*g = 0. Calculate g.
-2, -1, 0, 40
Factor -4*j**3/5 - 32*j**2/5 - 52*j/5 - 24/5.
-4*(j + 1)**2*(j + 6)/5
Solve 6*s**5 - 2878*s**4/5 + 68924*s**3/5 + 4992*s**2/5 - 9216*s/5 = 0.
-2/5, 0, 1/3, 48
Factor -92*a**2/3 - 80*a/3 + 4.
-4*(a + 1)*(23*a - 3)/3
Let 5*g**4 - 110*g**3 - 245*g**2 + 110*g + 240 = 0. What is g?
-2, -1, 1, 24
Determine m, given that m**3 + 8*m**2 - 45*m + 36 = 0.
-12, 1, 3
Factor -2*g**3/13 - 4*g**2/13.
-2*g**2*(g + 2)/13
Factor y**3/5 + 41*y**2/5 - 132*y/5.
y*(y - 3)*(y + 44)/5
Find f such that -9*f**5 - 24*f**4 + 30*f**2 + 9*f - 6 = 0.
-2, -1, 1/3, 1
Factor 2*q**5/3 - 10*q**4/3 - 26*q**3/3 - 14*q**2/3.
2*q**2*(q - 7)*(q + 1)**2/3
Determine c so that -35*c**3 - 960*c**2 + 575*c + 420 = 0.
-28, -3/7, 1
Solve 2*p**2/7 + 562*p/7 - 1132/7 = 0 for p.
-283, 2
Factor -a**4/5 - 24*a**3/5 - 143*a**2/5 + 24*a/5 + 144/5.
-(a - 1)*(a + 1)*(a + 12)**2/5
Factor 4*x**5 - 184*x**4 + 436*x**3 + 38640*x**2 + 176400*x.
4*x*(x - 30)**2*(x + 7)**2
Determine v so that 5*v**4/4 - 320*v**3 + 5595*v**2/2 - 4600*v - 30875/4 = 0.
-1, 5, 247
Suppose -12*z**5 + 522*z**4 - 24147*z**3/4 + 7467*z**2 + 19593*z/4 + 1323/2 = 0. What is z?
-1/4, 2, 21
What is d in 3*d**4/5 + 171*d**3/5 + 66*d**2 = 0?
-55, -2, 0
Factor 2*w**3/7 - 30*w**2/7 + 52*w/7.
2*w*(w - 13)*(w - 2)/7
Factor i**2/2 - 235*i/2 + 117.
(i - 234)*(i - 1)/2
Factor -5*o**3 + 935*o**2 - 27000*o - 1691280.
-5*(o - 108)**2*(o + 29)
Suppose -2*z**2/13 - 17024*z/13 - 36227072/13 = 0. What is z?
-4256
Let w**4/3 + 4*w**3 - 29*w**2/3 - 4*w + 28/3 = 0. Calculate w.
-14, -1, 1, 2
Determine d, given that -d**3/2 - 11*d**2/2 - 14*d = 0.
-7, -4, 0
Factor 15*c**2/4 - 129*c/2 + 72.
3*(c - 16)*(5*c - 6)/4
Factor -2*f**2/3 - 250*f + 752/3.
-2*(f - 1)*(f + 376)/3
Factor -w**2 + 17*w/6 + 53.
-(w + 6)*(6*w - 53)/6
Factor -120*d**3 + 151*d**2 - 33*d + 2.
-(d - 1)*(8*d - 1)*(15*d - 2)
Factor 3*t**3/5 + 279*t**2/5 + 6192*t/5 + 5916/5.
3*(t + 1)*(t + 34)*(t + 58)/5
Let m**2/5 - 64*m/5 - 13 = 0. Calculate m.
-1, 65
What is q in -3*q**3/4 - 87*q**2/2 = 0?
-58, 0
Determine q so that 2*q**3/5 + 14*q**2/5 - 146*q/5 + 26 = 0.
-13, 1, 5
Solve 3*v**2/4 - 195*v/2 + 12675/4 = 0 for v.
65
Find t such that -t**4/4 + 60*t**3 - 7079*t**2/2 - 7260*t - 14641/4 = 0.
-1, 121
Factor a**2 + 29*a - 132.
(a - 4)*(a + 33)
Solve 4*s**5 - 12*s**3 + 8*s**2 = 0 for s.
-2, 0, 1
Find v such that 3*v**2/5 + 39*v/5 = 0.
-13, 0
Find k such that 35*k**5 + 32*k**4 - 75*k**3 + 4*k**2 + 4*k = 0.
-2, -1/5, 0, 2/7, 1
Factor 3*n**4 + 126*n**3 + 765*n**2 + 1050*n.
3*n*(n + 2)*(n + 5)*(n + 35)
What is g in 30*g**5/7 - 356*g**4/7 + 1032*g**3/7 + 144*g**2/7 = 0?
-2/15, 0, 6
Suppose k**4/3 + 28*k**3 + 2644*k**2/3 + 12320*k + 193600/3 = 0. What is k?
-22, -20
Determine d, given that -2*d**2/11 - 410*d/11 = 0.
-205, 0
Find m such that -6*m**3/13 + 584*m**2/13 + 986*m/13 + 396/13 = 0.
-1, -2/3, 99
Let -2*r**3/11 - 16*r**2/11 = 0. What is r?
-8, 0
Factor -2*w**3/3 - 44*w**2/3 + 46*w/3.
-2*w*(w - 1)*(w + 23)/3
Factor 9*q**4 - 19*q**3 - 8*q**2 + 20*q.
q*(q - 2)*(q + 1)*(9*q - 10)
Factor -u**5/5 - 7*u**4/5 + 18*u**3/5.
-u**3*(u - 2)*(u + 9)/5
Factor -u**2/2 - 1535*u/2 - 1533.
-(u + 2)*(u + 1533)/2
Suppose -5*n**5 + 85*n**4 + 195*n**3 - 85*n**2 - 190*n = 0. What is n?
-2, -1, 0, 1, 19
Determine n, given that 2*n**4/7 - 192*n**3/7 + 5148*n**2/7 - 25920*n/7 + 36450/7 = 0.
3, 45
Let 37*f**2/8 - 9*f/2 - 1/8 = 0. What is f?
-1/37, 1
Let 2*y**2/5 - 44*y/5 + 42/5 = 0. Calculate y.
1, 21
Let 3*o**3/4 + 30*o**2 + 111*o/4 - 117/2 = 0. What is o?
-39, -2, 1
Factor -66*g**3 + 74*g**2 - 8*g.
-2*g*(g - 1)*(33*g - 4)
Suppose -28*a**4 + 200*a**3 - 416*a**2 + 256*a = 0. What is a?
0, 8/7, 2, 4
Find f such that f**4/7 - 474*f**3/7 - 475*f**2/7 = 0.
-1, 0, 475
Suppose 3*v**5/8 + 72*v**4 + 573*v**3/8 = 0. Calculate v.
-191, -1, 0
Suppose -w**4/4 - 43*w**3/4 - 315*w**2/2 - 833*w - 686 = 0. Calculate w.
-14, -1
What is j in 3*j**5/2 - 18*j**4 + 84*j**3 - 192*j**2 + 216*j - 96 = 0?
2, 4
Factor -f**2/4 - 5*f/4 - 1.
-(f + 1)*(f + 4)/4
Find w, given that 5*w**4 - 15*w**3 - 15*w**2 + 35*w + 30 = 0.
-1, 2, 3
Let 4*q**2 + 100*q + 96 = 0. What is q?
-24, -1
Factor -7803*u**4/8 + 39321*u**3/4 - 201207*u**2/8 + 3855*u/2 - 75/2.
-3*(u - 5)**2*(51*u - 2)**2/8
Factor -4*z**2 - 92*z + 432.
-4*(z - 4)*(z + 27)
Let -45*y**5 - 370*y**4 - 1160*y**3 - 1680*y**2 - 1040*y - 160 = 0. Calculate y.
-2, -2/9
Find y, given that 3*y**4 - 27*y**3 - 108*y**2 = 0.
-3, 0, 12
Factor 4*m**4 + 1456*m**3 + 131032*m**2 - 266448*m + 133956.
4*(m - 1)**2*(m + 183)**2
Factor -2*t**2/9 + 326*t/9 - 644/9.
-2*(t - 161)*(t - 2)/9
Determine a so that -a**2 - 46*a - 529 = 0.
-23
Factor 48668*i**5 - 35972*i**4 - 11592*i**3 - 1072*i**2 - 32*i.
4*i*(i - 1)*(23*i + 2)**3
Suppose 5*d**5 + 30*d**4 + 20*d**3 - 90*d**2 - 25*d + 60 = 0. Calculate d.
-4, -3, -1, 1
Factor -3*k**2/7 + 1968*k/7 - 1965/7.
-3*(k - 655)*(k - 1)/7
Find c such that -1225*c**5 - 52640*c**4 - 590585*c**3 - 540790*c**2 - 169260*c - 17640 = 0.
-21, -2/5, -2/7
Find y, given that 3*y**3/4 + 33*y**2/4 + 93*y/4 + 63/4 = 0.
-7, -3, -1
Factor -4*v**4/5 - 8*v**3/5 + 44*v**2/5 + 48*v/5.
-4*v*(v - 3)*(v + 1)*(v + 4)/5
Find a, given that a**3/8 - a**2/4 - 13*a/8 - 5/4 = 0.
-2, -1, 5
What is c in 24*c**5/5 + 54*c**4 + 519*c**3/5 + 297*c**2/5 - 3*c/5 - 27/5 = 0?
-9, -1, -1/2, 1/4
Determine l, given that -l**5 - 38*l**4 - 381*l**3 - 72*l**2 + 6156*l + 11664 = 0.
-18, -3, 4
Suppose -4*u**2 - 21*u/5 - 1/5 = 0. Calculate u.
-1, -1/20
Solve -c**4/4 + 11*c**3/4 + 39*c**2/4 - 459*c/4 - 243/2 = 0.
-6, -1, 9
Factor -2*u**3 + 24*u**