*p**3/4 + 2379*p**2/8 - 11339*p/2 - 444889/2.
-(p - 46)**2*(p + 29)**2/8
Factor -u**5/6 + u**4/6 + u**3/3.
-u**3*(u - 2)*(u + 1)/6
What is y in y**5/6 - 11*y**4 + 216*y**3 - 576*y**2 - 13824*y = 0?
-6, 0, 24
Factor 4*s**5 + 180*s**4 + 2696*s**3 + 13320*s**2 - 2700*s - 13500.
4*(s - 1)*(s + 1)*(s + 15)**3
Factor -2*n**3/21 - 818*n**2/21 - 464*n/3 - 1080/7.
-2*(n + 2)**2*(n + 405)/21
Suppose -2*a**3 + 53*a**2/3 + 3*a = 0. Calculate a.
-1/6, 0, 9
Factor 3*r**4/7 - 267*r**3/7 + 783*r**2/7 - 111*r + 258/7.
3*(r - 86)*(r - 1)**3/7
Factor -3*s**2 + 1368*s.
-3*s*(s - 456)
Factor x**3/5 + 88*x**2/5 + 172*x/5.
x*(x + 2)*(x + 86)/5
Factor 5*m**3 + 10010*m**2 + 4999980*m - 10040040.
5*(m - 2)*(m + 1002)**2
Factor -100*t**2 - 55*t + 15.
-5*(4*t + 3)*(5*t - 1)
Factor -f**2/5 + f/5.
-f*(f - 1)/5
Factor 2*s**2/5 + 856*s + 457960.
2*(s + 1070)**2/5
Factor 2*w**3/3 - 88*w**2 - 1646*w/3 - 460.
2*(w - 138)*(w + 1)*(w + 5)/3
Factor -3*j**3/2 - 6*j**2 + 27*j/2 + 54.
-3*(j - 3)*(j + 3)*(j + 4)/2
Solve 10*l**2 - 147*l/2 + 49/2 = 0.
7/20, 7
Determine f, given that 5*f**2/3 - 55*f/3 + 30 = 0.
2, 9
Solve 3*d**3/4 - 27*d**2/4 - 33*d/2 = 0.
-2, 0, 11
Solve -10*j**2 - 38*j/5 + 12/5 = 0.
-1, 6/25
Suppose -2*a**5/7 + 11150*a**4/7 - 15545886*a**3/7 + 15534738*a**2/7 = 0. Calculate a.
0, 1, 2787
Suppose -5*k**2 - 45*k - 90 = 0. What is k?
-6, -3
Factor 4*u**2 + 8*u.
4*u*(u + 2)
Solve a**2/3 - 16*a/3 - 19 = 0.
-3, 19
Solve 5*h**2 + 380*h = 0 for h.
-76, 0
Determine r, given that -2*r**5/7 + 2*r**4 + 6*r**3/7 - 110*r**2/7 - 100*r/7 = 0.
-2, -1, 0, 5
Factor -4*c**3 - 6084*c**2 - 3084588*c - 521295372.
-4*(c + 507)**3
Suppose 2*m**4/15 - 4*m**2/15 + 2/15 = 0. What is m?
-1, 1
Factor -2*f**5 - 8*f**4 - 8*f**3 + 4*f**2 + 10*f + 4.
-2*(f - 1)*(f + 1)**3*(f + 2)
Let -2*i**2 + 290*i/7 + 12 = 0. What is i?
-2/7, 21
Factor -5*z**5 + 30*z**3 - 40*z**2 + 15*z.
-5*z*(z - 1)**3*(z + 3)
Factor -2*i**3 + 24*i**2 + 56*i.
-2*i*(i - 14)*(i + 2)
Factor -2*y**5/11 + 104*y**4/11 - 1352*y**3/11.
-2*y**3*(y - 26)**2/11
Determine k, given that -2*k**5 - 2*k**4 + 6*k**3 + 2*k**2 - 4*k = 0.
-2, -1, 0, 1
Let -2*y**4/3 + 2*y**3 + 176*y**2/3 = 0. Calculate y.
-8, 0, 11
Factor -d**5/10 - 3*d**4/10 + 3*d**3/5 + d**2 - 21*d/10 + 9/10.
-(d - 1)**3*(d + 3)**2/10
Factor 5*t**5 + 30*t**4 + 55*t**3 + 10*t**2 - 60*t - 40.
5*(t - 1)*(t + 1)*(t + 2)**3
Factor 78*j**2 - 87*j + 9.
3*(j - 1)*(26*j - 3)
Solve -5*k**5 - 175*k**4 - 1760*k**3 - 3820*k**2 + 640*k + 5120 = 0 for k.
-16, -2, 1
Factor -2*f**3 + 24*f**2 - 96*f + 128.
-2*(f - 4)**3
Factor x**2 + 107*x + 106.
(x + 1)*(x + 106)
Factor 5*r**4 + 95*r**3 - 105*r**2 - 95*r + 100.
5*(r - 1)**2*(r + 1)*(r + 20)
Find r such that r**2/3 + 7*r - 22/3 = 0.
-22, 1
Factor -l**3 - 5*l**2 - 7*l - 3.
-(l + 1)**2*(l + 3)
Factor -3*z**4 + 147*z**3 - 420*z**2 + 276*z.
-3*z*(z - 46)*(z - 2)*(z - 1)
Factor -3*x**3 + 267*x**2 - 6072*x + 5808.
-3*(x - 44)**2*(x - 1)
Determine d so that -4*d**3/5 + 83*d**2/5 - 501*d/5 + 702/5 = 0.
2, 9, 39/4
Suppose -2*q**2/9 - 20*q/9 + 22/9 = 0. Calculate q.
-11, 1
Factor -4*h**2/7 - 36*h/7 - 32/7.
-4*(h + 1)*(h + 8)/7
Let 2*z**3/5 + 2046*z**2/5 + 524286*z/5 + 522242/5 = 0. What is z?
-511, -1
Find m, given that 2*m**5 - 20*m**4 - 100*m**3 - 160*m**2 - 110*m - 28 = 0.
-1, 14
Factor p**4 - 33*p**3 - p**2 + 33*p.
p*(p - 33)*(p - 1)*(p + 1)
Let 5*c**3 - 30*c**2 + 25*c = 0. What is c?
0, 1, 5
Determine i, given that 3*i**2 + 201*i - 7614 = 0.
-94, 27
Determine a so that -2*a**2 - 456*a - 454 = 0.
-227, -1
Solve 2*s**2/9 + 4*s/3 + 16/9 = 0.
-4, -2
Factor -5*f**3 - 60*f**2 - 180*f.
-5*f*(f + 6)**2
Solve -s**5 - 4*s**4 - 5*s**3 - 2*s**2 = 0.
-2, -1, 0
Factor -3*h**4/4 - 51*h**3 - 759*h**2 + 3672*h - 3888.
-3*(h - 2)**2*(h + 36)**2/4
Factor 2*y**2/17 + 180*y/17 + 4050/17.
2*(y + 45)**2/17
Find s, given that s**2/3 + 275*s/3 = 0.
-275, 0
Factor 2*p**4/15 + 2*p**3/15 - 2*p**2/5 - 2*p/3 - 4/15.
2*(p - 2)*(p + 1)**3/15
Factor 2*c**4/17 + 548*c**3/17 + 40178*c**2/17 + 361680*c/17 + 871200/17.
2*(c + 5)**2*(c + 132)**2/17
Determine l, given that -l**5/2 + 49*l**4 + 405*l**3/2 + 155*l**2 - 202*l - 204 = 0.
-2, -1, 1, 102
Suppose -2*t**2 + 304*t + 306 = 0. What is t?
-1, 153
Factor 2*t**2/3 - 22*t - 360.
2*(t - 45)*(t + 12)/3
Let -5184*z**5/5 - 37584*z**4/5 - 1836*z**3 - 759*z**2/5 - 21*z/5 = 0. What is z?
-7, -1/12, 0
Factor -2*l**3/3 - 4*l**2/3 + 10*l.
-2*l*(l - 3)*(l + 5)/3
Suppose -z**2 - 637*z = 0. What is z?
-637, 0
Solve -4*i**4/9 - 4*i**3/3 + 92*i**2/9 - 44*i/3 + 56/9 = 0.
-7, 1, 2
Factor -2*q**2/15 - 8*q + 512/15.
-2*(q - 4)*(q + 64)/15
Let -4*w**2 + 336*w = 0. What is w?
0, 84
Suppose 3*r**5 + 15*r**4 + 15*r**3 - 15*r**2 - 18*r = 0. Calculate r.
-3, -2, -1, 0, 1
Factor 2*l**2 + 408*l - 824.
2*(l - 2)*(l + 206)
What is h in -3*h**3/2 + 15*h**2 - 93*h/2 + 45 = 0?
2, 3, 5
Determine k so that k**5 - 34*k**4 + 126*k**3 - 184*k**2 + 121*k - 30 = 0.
1, 30
Suppose -2*a**3/3 - 50*a**2/3 + 100*a = 0. Calculate a.
-30, 0, 5
Factor -f**2/7 + 71*f/7 + 72/7.
-(f - 72)*(f + 1)/7
Factor 62*q**3/5 - 368*q**2/15 + 178*q/15 + 4/15.
2*(q - 1)**2*(93*q + 2)/15
Factor y**5/4 - 29*y**4/2 + 569*y**3/2 - 1957*y**2 + 4693*y/4 + 6859/2.
(y - 19)**3*(y - 2)*(y + 1)/4
Suppose 25*w**5/11 - 30*w**4/11 - 61*w**3/11 + 2*w**2 + 36*w/11 + 8/11 = 0. Calculate w.
-1, -2/5, 1, 2
Suppose 2*i**4/3 + 46*i**3 + 90*i**2 + 134*i/3 = 0. Calculate i.
-67, -1, 0
Solve 4*r**3 - 12*r**2 + 8*r = 0.
0, 1, 2
Factor 4*s**2 + 4428*s + 8840.
4*(s + 2)*(s + 1105)
Factor -4*h**4 + 560*h**3 - 19584*h**2 - 2240*h + 78400.
-4*(h - 70)**2*(h - 2)*(h + 2)
Find p such that 3*p**4 - 33*p**3 + 24*p**2 + 60*p = 0.
-1, 0, 2, 10
Suppose -m**5/2 + 3*m**4/2 - 3*m**3/2 + m**2/2 = 0. Calculate m.
0, 1
Factor -25*f**3 - 5915*f**2 + 8320*f - 2380.
-5*(f - 1)*(f + 238)*(5*f - 2)
Factor -a**2/5 + 111*a/5.
-a*(a - 111)/5
Factor -p**3/3 + 8*p**2/3 - 16*p/3.
-p*(p - 4)**2/3
What is x in -2*x**2/7 - 54*x/7 - 100/7 = 0?
-25, -2
Find y such that y**2 + 30*y + 29 = 0.
-29, -1
Factor -5*p**3 - 80*p**2 + 185*p + 1700.
-5*(p - 5)*(p + 4)*(p + 17)
What is w in -2*w**5/7 + 6*w**4 + 300*w**3/7 + 632*w**2/7 + 432*w/7 = 0?
-2, 0, 27
Factor -j**2/5 + 50*j - 496/5.
-(j - 248)*(j - 2)/5
Let -s**5 - 4*s**4 - 6*s**3 - 4*s**2 - s = 0. Calculate s.
-1, 0
Suppose -5*s**3 + 170*s**2 + 435*s - 2700 = 0. What is s?
-5, 3, 36
Determine j, given that -12*j**4 - 232*j**3 + 236*j**2 + 1544*j + 480 = 0.
-20, -2, -1/3, 3
Suppose 4*s**3 + 32*s**2 - 36*s = 0. What is s?
-9, 0, 1
Factor 2*k**2 - 36*k + 64.
2*(k - 16)*(k - 2)
Find w such that -3*w**3/4 - 3*w**2 + 201*w/4 + 105/2 = 0.
-10, -1, 7
Solve 8*x**3 + 27*x**2 + 12*x - 20 = 0 for x.
-2, 5/8
Factor -n**2/7 + 8*n.
-n*(n - 56)/7
Determine w so that 8*w**4/3 - 20*w**3/3 + 4*w**2/3 + 8*w/3 = 0.
-1/2, 0, 1, 2
Suppose -2*z**5/3 + 4*z**4/3 + 10*z**3/3 - 4*z**2 = 0. What is z?
-2, 0, 1, 3
Let 3*a**3/4 - 21*a/4 + 9/2 = 0. What is a?
-3, 1, 2
What is c in -2*c**4 + 6*c**3 + 14*c**2 - 30*c - 36 = 0?
-2, -1, 3
Solve -147*f**5/2 - 721*f**4/2 - 482*f**3 - 194*f**2 - 24*f = 0.
-3, -4/3, -2/7, 0
Find h, given that -21*h**5 - 414*h**4 + 3795*h**3 - 8820*h**2 + 6756*h - 1296 = 0.
-27, 2/7, 1, 2, 4
Factor 2*f**3 + 64*f**2 - 282*f + 216.
2*(f - 3)*(f - 1)*(f + 36)
What is c in -5*c**4 - 50*c**3 - 155*c**2 - 150*c = 0?
-5, -3, -2, 0
What is s in -s**3/10 + 31*s**2/10 + 208*s/5 - 7098/5 = 0?
-21, 26
Find n such that -160*n**4/3 - 440*n**3/3 - 135*n**2/2 + 145*n/6 - 5/3 = 0.
-2, -1, 1/8
Let -2*l**2 + 104*l + 570 = 0. What is l?
-5, 57
Find x, given that 3*x**4 - 6*x**3 - 21*x**2 + 60*x - 36 = 0.
-3, 1, 2
Determine l, given that -54*l**5 - 11718*l**4 - 641538*l**3 - 633746*l**2 - 210384*l - 23328 = 0.
-108, -1/3
Let -4*p**2/7 + 4*p + 72/7 = 0. What is p?
-2, 9
Solve t**2/5 - 22*t + 321/5 = 0.
3, 107
Determine a so that 4*a**4/17 + 22*a**3/17 + 42*a**2/17 + 32*a/17 + 8/17 = 0.
-2, -1, -1/2
Solve 75*y**5 + 2490*y**4 - 7353*y**3 + 7368*y**2 - 3012*y + 432 = 0.
-36, 2/5, 1
Factor -3*n**3 - 900*n**2 - 90000*n - 3000000.
-3*(n + 100)**3
Let 27*h**5/4 + 141*h**4 + 963*h**3/4 - 57*h**2/2 = 0. Calculate h.
-19, -2, 0, 1/9
Factor 2*g**4 - 22*g**3 + 90*g**2 - 162*g + 108.
2*(g - 3)**3*(g - 2)
Factor 2*a**5 - 6*a**4 - 2*a**3 + 6*a**2.
2*a**2*(a - 3)*(a - 1)*(a + 1)
Factor h**3/4 + 6*h**2 + 36*h.
h*(h + 12)**2/4
Factor 2*b**2/9 - 554*b/9 - 556/9