 + 1/6*a**4 + 22*a**2 + 0*a - 1/6*a**5. Factor l(n).
-2*n*(n - 2)*(n - 1)**2
Let v = 4938 - 9499/2. Let k = -188 + v. Factor 0 + x**3 + k*x**5 - 2*x**2 + 2*x**4 - 3/2*x.
x*(x - 1)*(x + 1)**2*(x + 3)/2
Let k(t) be the second derivative of -t**4/4 + 3*t**3/2 + 15*t**2 + 3*t + 11. Factor k(f).
-3*(f - 5)*(f + 2)
Let a(p) = -p**3 - p - 1 + 1. Let u(n) = 2*n**4 - 4*n**3 - 2*n**2 - 6*n. Let i(x) = 4*x - 51. Let f be i(13). Let q(r) = f*u(r) - 5*a(r). Factor q(v).
v*(v - 1)*(v + 1)*(2*v + 1)
Let g be (-4)/((-60)/(-9)) - 141/(-135). Let x = 41 + -121/3. Determine h so that g - x*h + 2/9*h**2 = 0.
1, 2
Factor 10*q**2 + 4*q**5 - 12*q**4 + 16*q - 5*q**3 + 2*q**2 - 15*q**3.
4*q*(q - 4)*(q - 1)*(q + 1)**2
Let 4*x**3 - 9*x**2 + 430*x - 415*x - 7 - 3*x**3 = 0. Calculate x.
1, 7
Let s(v) be the third derivative of 21*v**2 + 0 + 1/75*v**5 + 4/5*v**3 - 1/6*v**4 + 0*v. Factor s(o).
4*(o - 3)*(o - 2)/5
Let j(g) be the third derivative of g**5/60 - g**4/6 - 88*g**2. Find r, given that j(r) = 0.
0, 4
Let r(f) be the third derivative of f**6/24 - f**5/6 - 25*f**4/24 + 5*f**3 + 69*f**2. Solve r(c) = 0 for c.
-2, 1, 3
Let k(t) be the first derivative of -t**3/6 - 35*t**2/2 + 71*t/2 + 2. Factor k(c).
-(c - 1)*(c + 71)/2
Let o(y) be the first derivative of y**6/6 + 5*y**5/4 + 10*y**4/3 + 10*y**3/3 - 6*y - 9. Let d(j) be the first derivative of o(j). Factor d(m).
5*m*(m + 1)*(m + 2)**2
Let c(b) be the second derivative of -b**5/4 + 65*b**4/4 - 665*b**3/2 + 1805*b**2/2 + 4*b + 54. Factor c(d).
-5*(d - 19)**2*(d - 1)
Factor -2/11*s**3 + 0*s + 0*s**2 - 2/11*s**5 - 4/11*s**4 + 0.
-2*s**3*(s + 1)**2/11
Factor 1/2*q + 0 + 5/4*q**2 + 1/2*q**3.
q*(q + 2)*(2*q + 1)/4
Find t, given that -1/5*t**4 - 18/5*t + 2/5*t**3 + 9/5 + 8/5*t**2 = 0.
-3, 1, 3
Let c be 0/2 - (10 + -4). Let b(r) = -3*r + 6. Let v be b(c). Suppose 2*i**4 - 16 + 10 + 8*i**3 - 4*i**2 + v - 24*i = 0. Calculate i.
-3, 1
Let j = 12 - 11. Suppose 0 = -3*y + j + 8. Factor -2*r**3 + 5*r**3 - 5*r**2 - 2*r**3 - 5*r + 4*r**y + 5.
5*(r - 1)**2*(r + 1)
Let y(v) = v**3 - 7*v**2 + 13*v - 5. Let x be y(5). Let l be (4/10)/((32/x)/4). Factor 0*k + l*k**3 + 0 + 0*k**2.
k**3/2
Suppose 20 = 7*v - 8. Suppose 0 = -p + v*w - 14, 4*p + 6 = 3*p + 2*w. Determine a, given that 0 + 2/13*a**p + 0*a = 0.
0
Let 2/3 - 103/3*t**2 - 101/3*t = 0. Calculate t.
-1, 2/103
Factor -70*g + 3 + 71*g + 102*g**2 + 104*g.
3*(g + 1)*(34*g + 1)
Let w = 47/90 - -1661/180. Factor -w*b - 21/8*b**2 + 3.
-3*(b + 4)*(7*b - 2)/8
Suppose 4*g - 2 = 46. Let v = 18 - g. Solve -3*a - 3*a - 3*a**3 + 3*a**4 + v*a = 0 for a.
0, 1
Let b(j) = -179*j**2 - 3578*j + 43. Let r be b(-20). Factor -8/3*o**r + 4*o**2 - 4/3*o**4 + 16/3*o - 16/3.
-4*(o - 1)**2*(o + 2)**2/3
Let z(h) be the third derivative of h**8/90720 - h**7/11340 + h**6/3240 + h**5/4 - 5*h**2. Let w(v) be the third derivative of z(v). What is g in w(g) = 0?
1
Let v(m) be the first derivative of -m**6/2 + 36*m**5/5 - 15*m**4 - 419. Let v(s) = 0. What is s?
0, 2, 10
Let p(g) = -2*g**2 - 5*g + 1. Let r be p(-4). Let n = r + 14. Factor 1 + 0 - 5 + 1 - n*o + 3*o**3 + 3*o**2.
3*(o - 1)*(o + 1)**2
Let i(t) be the third derivative of 0*t**3 + 0*t + 0 + 1/1155*t**7 - 1/132*t**4 + 1/110*t**5 - 3*t**2 - 1/220*t**6. Factor i(l).
2*l*(l - 1)**3/11
Let p(n) be the second derivative of n**7/210 - n**6/150 - 3*n**5/100 + n**4/60 + n**3/15 + 263*n. Factor p(y).
y*(y - 2)*(y - 1)*(y + 1)**2/5
Let r(q) be the third derivative of -q**7/210 + q**6/15 - 3*q**5/20 - 3*q**4/4 + 551*q**2. Solve r(g) = 0 for g.
-1, 0, 3, 6
Factor 125*t**2 + 162*t**2 - 62*t**2 + 50*t**4 + 277*t**2 + 96 + 368*t + 280*t**3.
2*(t + 1)*(t + 3)*(5*t + 4)**2
Let m(a) be the second derivative of -2*a + 0*a**2 - 1/48*a**4 - 1/6*a**3 + 0. Suppose m(p) = 0. Calculate p.
-4, 0
Solve -20 + 37 + 12*v - v**2 - 44 = 0.
3, 9
Let h(l) be the first derivative of l**3/3 - 5*l**2 + 9*l + 12. Let p be h(9). Factor 3 - 8*n**2 + p - 2*n + 5 - 4*n**3 + 6*n.
-4*(n - 1)*(n + 1)*(n + 2)
Factor -14/5 - 37/5*w - w**2.
-(w + 7)*(5*w + 2)/5
Suppose 16*y - 1084 + 812 = 0. Factor -49/3*m**4 + 0 - y*m**2 - 3*m - 91/3*m**3.
-m*(m + 1)*(7*m + 3)**2/3
Factor -234*v - 33 + 110*v + 3*v**2 + 94*v.
3*(v - 11)*(v + 1)
Let k(s) = -s**3 + 23*s**2 + 51*s - 13. Let p be k(25). Let h be 3 + 35/p*27/(-30). Factor h*c + 1/8*c**4 - 1/8*c**2 - 3/8*c**3 + 0.
c*(c - 3)*(c - 1)*(c + 1)/8
Let w(m) be the second derivative of -1/80*m**5 + 7*m + 1/24*m**4 + 0*m**3 + 0 + 0*m**2 - 1/120*m**6. Let w(f) = 0. Calculate f.
-2, 0, 1
Let d(p) be the second derivative of p**10/70560 - 3*p**8/15680 + p**7/2940 - 5*p**4/12 + 25*p. Let m(o) be the third derivative of d(o). Factor m(h).
3*h**2*(h - 1)**2*(h + 2)/7
Let g(q) be the first derivative of -3*q**5/40 - q**4/2 - 3*q**3/4 - 8*q - 3. Let h(s) be the first derivative of g(s). Find d, given that h(d) = 0.
-3, -1, 0
Let u be ((-5)/2)/((-5)/(-20)*-2). Let 9*y + 6 + 9*y**u - 14*y**5 - 6*y**2 + 8*y**5 - 12*y**3 = 0. Calculate y.
-1, 1, 2
Factor -5*q**4 - 11*q**2 + q**4 - 5*q - 7*q**3 - 2*q**4 + 5*q**4.
-q*(q + 1)**2*(q + 5)
Determine f, given that -160*f - 5*f**4 + 3*f**3 - 4263*f**2 + 4118*f**2 - 53*f**3 - 60 = 0.
-6, -2, -1
Let s(a) be the first derivative of 5*a - 6 + 1/12*a**4 + 1/8*a**3 - 1/8*a**2. Let k(j) be the first derivative of s(j). What is r in k(r) = 0?
-1, 1/4
Suppose 0 = 4*v - 17*v + 26. Let h(o) be the first derivative of -3/7*o**v + 2 - 4/7*o + 0*o**3 + 1/14*o**4. Factor h(a).
2*(a - 2)*(a + 1)**2/7
Let c be 6/4 + (-1)/(-2). Suppose -28*l = -7*l - 63. Solve 0*s**4 - c*s**4 + s**4 + 3*s**4 - 2*s**l = 0 for s.
0, 1
Let d be (-65)/2*(558/(-45) + 12). Let x(a) be the first derivative of -d + 0*a - 1/20*a**4 + 1/10*a**2 - 1/25*a**5 + 1/15*a**3. Factor x(n).
-n*(n - 1)*(n + 1)**2/5
Let i(w) be the first derivative of -w**5/30 + w**4/18 + 5*w**3/9 + w**2 + 5*w + 15. Let v(o) be the first derivative of i(o). Factor v(r).
-2*(r - 3)*(r + 1)**2/3
Let l(q) be the first derivative of 2/5*q**5 + 21 + 3/8*q**4 + 0*q - 2/3*q**3 - q**2 + 1/12*q**6. Find f such that l(f) = 0.
-2, -1, 0, 1
Suppose 3*z + 14 = -7. Let s(j) = 4*j + 30. Let p be s(z). Suppose -2/7*i**p + 0 + 0*i + 2/7*i**3 = 0. What is i?
0, 1
Suppose -23*t + 280 = -28*t. Let h be -1 + (-9)/(-6) - t/144. Factor 10/9*g**3 - 2/9*g**5 + h - 2/9*g**4 - 16/9*g + 2/9*g**2.
-2*(g - 1)**3*(g + 2)**2/9
Suppose 46 - 4 = 14*g. Suppose -3*k - 9 = -5*n - 4, 5*k = g*n - 3. Find m such that k*m + 2/9*m**2 - 2/9 = 0.
-1, 1
Let h be (-2)/2*(2 + -2 + -2). Suppose -4*l - 12 = h*x, 3*x - 2*l - 22 = -0*l. What is v in 0 - 1/3*v**2 + 0*v + 1/3*v**x + 0*v**3 = 0?
-1, 0, 1
Let b be 2 + (-2 + 1)/(-1). Let f(v) = v**2 - 6*v - 2. Let m be f(8). Factor -l**4 - m*l**3 + 10*l**b - l**4.
-2*l**3*(l + 2)
Suppose 0 = -6*g + g + 15. Solve -7*d**3 - 8*d**g + 12*d**3 + 3*d**4 = 0 for d.
0, 1
Let m = 98 - 101. Let p be ((-1)/m)/(9 + -8). Factor 1/3*t**5 + 0*t + 0 - 1/3*t**2 - p*t**3 + 1/3*t**4.
t**2*(t - 1)*(t + 1)**2/3
Let i = 1 + 44. Factor 8*b**4 + i*b - 43*b - 5*b**3 - 7*b**2 - 4*b**4.
b*(b - 2)*(b + 1)*(4*b - 1)
Factor 51*a**3 + 170*a**4 - 165*a**4 + 27*a**2 - 187*a**3.
a**2*(a - 27)*(5*a - 1)
Let d(y) be the first derivative of y**4/4 - 40*y**3/3 + 113*y**2/2 - 74*y - 514. Find h such that d(h) = 0.
1, 2, 37
Let d = 2/101 + 398/303. Let a = 116875/25044 + -1/8348. Factor -a*w + d + 10/3*w**2.
2*(w - 1)*(5*w - 2)/3
Let f be (-4 + (-96)/(-30))/((-2)/5). Factor 10*s**3 + 51*s + 3*s**2 - 5*s**4 - 61*s + f*s**2.
-5*s*(s - 2)*(s - 1)*(s + 1)
Let z be (126/36)/(14/12). Solve -5/4*o**5 + 0 + 0*o**z + 5/4*o - 5/2*o**2 + 5/2*o**4 = 0.
-1, 0, 1
Let -2/7*t**2 + 54/7 - 52/7*t = 0. Calculate t.
-27, 1
Factor -475 + 135*p**2 + 148*p**2 - 278*p**2 - 470*p.
5*(p - 95)*(p + 1)
Let o(t) be the third derivative of -t**6/420 - t**5/70 + t**4/84 + t**3/7 - 90*t**2. Factor o(y).
-2*(y - 1)*(y + 1)*(y + 3)/7
Let i(n) be the first derivative of -13 + 9*n - 2/3*n**4 + 9/2*n**2 - 5/2*n**3 + 4/5*n**5. Let m(t) be the first derivative of i(t). Find f such that m(f) = 0.
-1, 3/4
Let u = -67957/462 - 1031/66. Let r = 163 + u. Factor 0 + 4/7*l - r*l**2.
-2*l*(l - 2)/7
Solve -1/2*w**3 + 0*w + 0 + 13/2*w**2 = 0.
0, 13
Let h(s) be the third derivative of -s**5/240 - 7*s**4/8 + 36*s**2 + 2. What is y in h(y) = 0?
-84, 0
Find k such that 41*k**4 - 19*k**4 + 10*k**2 + 6*k**3 - 