4 - 3/5*l**3 - 1/5*l**5.
-l**2*(l - 1)**3/5
Let -133*b**2 + 83*b**2 + 62*b**2 + 2*b**3 - 14*b = 0. Calculate b.
-7, 0, 1
Let p(c) be the second derivative of -c**4/3 - 13*c**3/18 - c**2/6 + 51*c. Determine w, given that p(w) = 0.
-1, -1/12
Let l be 6/10 - (7866/(-540) + 15). Solve 1/2 + l*g**3 - 5/6*g + 1/6*g**2 = 0.
-3, 1
Let q = -68 + 342/5. Let s = 19545 - 97723/5. Factor s + 4/5*v + q*v**2.
2*(v + 1)**2/5
Let l(o) = 2*o**2 + 29*o + 5. Let n be l(-16). Factor -3*y - 5*y**2 - 467 - 34*y + 62 - n*y.
-5*(y + 9)**2
Let f(a) be the third derivative of -a**6/200 - 3*a**5/100 + 9*a**4/20 + 107*a**2 - 3. Factor f(c).
-3*c*(c - 3)*(c + 6)/5
Suppose -15*d + 8 = -37. Let b(m) be the first derivative of -3/20*m**5 - 1/16*m**4 + 1/6*m**d - 4 + 0*m**2 + 0*m. Factor b(a).
-a**2*(a + 1)*(3*a - 2)/4
Let d(r) be the first derivative of -r**3/4 + 45*r**2/8 - 21*r/2 + 68. Suppose d(p) = 0. What is p?
1, 14
Let t be -39 + (3 - 3) + -3. Let i be (t/(-49))/(3/14). Factor -4*z**3 - 5*z**2 - 2*z**i + 0*z**4 + 0*z**3 + 3*z**2.
-2*z**2*(z + 1)**2
Suppose 11 = -2*a + 9. Let k be (-3)/36 - a/3. Solve 0 - 1/2*d**2 - k*d - 1/4*d**3 = 0 for d.
-1, 0
Factor -6*o**2 - 30*o - 6 + 30*o + 20*o.
-2*(o - 3)*(3*o - 1)
Factor h**3 - 325*h + 324*h - 2*h**3 - 2*h**2.
-h*(h + 1)**2
Let a(d) be the first derivative of 4/3*d**3 + 2 + 8*d + 6*d**2. Let b(r) = r**2 + r. Let p(n) = -a(n) + 8*b(n). Factor p(y).
4*(y - 2)*(y + 1)
Factor 16/21 + 4/7*q**2 + 6/7*q**3 - 40/21*q.
2*(q + 2)*(3*q - 2)**2/21
Let x be (-17 + 90/6)/(-6). Solve -x*r**3 + 1/6*r**2 + 1/3 + 5/6*r = 0 for r.
-1, -1/2, 2
Let d(y) be the second derivative of 0 + 3*y**3 + 1/10*y**5 - y**4 + 4*y + 0*y**2. Factor d(k).
2*k*(k - 3)**2
Let f(k) = -k**2 - k. Let s(i) = 3 - i**2 + i**2 - 4*i**2 - 3*i**2 - 12*i. Let a(q) = 24*f(q) - 3*s(q). Factor a(m).
-3*(m - 3)*(m - 1)
Let h(p) be the third derivative of -p**8/840 + p**7/21 - 143*p**6/300 - 169*p**5/150 - 7*p**2 + 20*p. Solve h(d) = 0.
-1, 0, 13
Let v = 12 - 12. Let g be (-26)/(-6) + (1 - 4 - v). Factor 20/3*b**3 - 16/3 - 32/3*b + 4/3*b**4 - 4/3*b**5 - g*b**2.
-4*(b - 2)**2*(b + 1)**3/3
Let m = -51 + 48. Let g(b) = 3*b**3 - 3*b**2 - 3*b + 5. Let f(h) = 3*h**3 - 3*h**2 - 3*h + 6. Let o(q) = m*g(q) + 2*f(q). Find n, given that o(n) = 0.
-1, 1
Let f(m) be the second derivative of 7*m**4/12 - 2*m**3/3 + 508*m. Suppose f(s) = 0. Calculate s.
0, 4/7
Let g = 5 - 13. Let a be (-4)/(-6) + g/(-6). Factor 5*c**4 - a*c**2 + 0 - 4*c**4 + 1.
(c - 1)**2*(c + 1)**2
Let r(m) be the third derivative of m**5/50 + 163*m**4/20 + 162*m**3/5 - 6*m**2 + 16*m. Factor r(l).
6*(l + 1)*(l + 162)/5
Let w(c) = -4*c**3 + c**2 + 4*c + 3. Let p be w(-1). Let g(n) be the first derivative of 1/15*n**5 + 13 + 0*n**2 + 0*n - 2/9*n**3 + 1/12*n**p. Factor g(b).
b**2*(b - 1)*(b + 2)/3
Suppose 5*d = 4*c + 3*d + 32, -3*c - 10 = 2*d. Let u be 3/18*c*(-1)/3. Factor -1/3 + 0*r**3 - u*r**4 + 2/3*r**2 + 0*r.
-(r - 1)**2*(r + 1)**2/3
Let x be 4 - ((-138)/(-16))/(9/(-276)). Let d = 270 - x. Factor -3/2*a**3 - 3/2 + 3/2*a**2 + d*a.
-3*(a - 1)**2*(a + 1)/2
Let d = 2481 + -22327/9. Factor d*j**2 - 2/9*j + 0.
2*j*(j - 1)/9
Let c(w) = -2*w + 29. Let r be c(14). Let f be r/3 + 2/(-6). Factor -2/3*j - 2/3*j**3 - 4/3*j**2 + f.
-2*j*(j + 1)**2/3
Suppose -2*d = -0 - 4. Find f such that f**2 - f**d + 15*f**3 - 6*f**2 + f**2 = 0.
0, 1/3
Factor -1/2*w - 5/4*w**2 + 0 + 1/4*w**5 - 3/4*w**3 + 1/4*w**4.
w*(w - 2)*(w + 1)**3/4
Let v(z) = 9*z**2 - 17*z + 4. Let j(q) = -25*q**2 + 50*q - 14. Let p(h) = 4*j(h) + 11*v(h). Factor p(c).
-(c - 12)*(c - 1)
Let c(p) = -p + 6*p - 5*p**2 + 0*p - p**3 - 4*p + 7. Let x be c(-5). Find d, given that 3*d**x + d**2 - 10 - 6 = 0.
-2, 2
Find c such that -226/3 + 2/3*c**2 - 224/3*c = 0.
-1, 113
Let f(x) be the third derivative of -3*x**5/20 - 17*x**4/8 + 3*x**3 + x**2 + 51. Factor f(j).
-3*(j + 6)*(3*j - 1)
Factor -56/3*a + 4/3*a**2 + 52/3.
4*(a - 13)*(a - 1)/3
Suppose 0*b - l = -3*b + 8, 0 = 2*b - 2*l - 4. Let a = -153 - -159. Factor 3*r**3 - 8*r**3 - r + a*r**b.
r*(r - 1)*(r + 1)
Let t = -65/2 + 203/6. Let q(m) be the first derivative of 16*m + t*m**3 + 10*m**2 + 10. Factor q(y).
4*(y + 1)*(y + 4)
Find x, given that -69*x**3 - 30*x**4 - 3293*x**5 + 720*x**2 + 2280*x + 3296*x**5 - 552*x = 0.
-3, 0, 8
Let b = 248245/8 + -31028. Factor -3/8*p**2 + 0 - b*p.
-3*p*(p + 7)/8
Let m be (-1)/(-13) + 43*312/3549. Let m*k**3 + 12/7 - 33/7*k**2 - 48/7*k = 0. Calculate k.
-1, 2/9, 2
Find j, given that -j**2 - 4*j - 6*j - 11*j**2 = 0.
-5/6, 0
Let x(q) be the third derivative of 0 - 3/10*q**6 + 8*q**2 - 5/6*q**4 + 0*q + 16/15*q**5 - 4/3*q**3. Factor x(j).
-4*(j - 1)**2*(9*j + 2)
Factor -11*a - 1/5*a**2 + 0.
-a*(a + 55)/5
Let o(j) be the first derivative of 5*j**4/4 + 22*j**3/3 + 4*j**2 + 369. Factor o(m).
m*(m + 4)*(5*m + 2)
Suppose -7*r - 132 = -342. Suppose -r*q + 31*q = 0. Factor q + 0*m + 3/5*m**2.
3*m**2/5
What is v in 8 + 36*v**2 + 109*v - 211*v - 20*v**3 + 4*v**4 + 74*v = 0?
1, 2
Let n(s) be the third derivative of -s**5/20 + s**4/4 + 15*s**3/2 - s**2 + 1. Factor n(j).
-3*(j - 5)*(j + 3)
Let j(h) be the second derivative of -h**4/32 + h**3/16 - 11*h - 3. Factor j(u).
-3*u*(u - 1)/8
Let j = -113 - -141. Let d be 3 - (j/5 + -3). Solve -n - d + 4/5*n**4 + 4/5*n**3 + 1/5*n**5 - 2/5*n**2 = 0.
-2, -1, 1
Let t(r) be the second derivative of -2/3*r**2 - 1/9*r**3 + 1/18*r**4 + 0 + 6*r. Factor t(a).
2*(a - 2)*(a + 1)/3
Let n(v) = v**2 - v - 1. Let t(c) = 2 - 8*c + 25*c**2 - 32 - 17*c. Let s(x) = -20*n(x) + t(x). Find a, given that s(a) = 0.
-1, 2
Let v be (-41)/3 - (-24 - -10). Let v*w**3 - w**2 + 0 - 4/3*w = 0. Calculate w.
-1, 0, 4
Let y be 0/(-4 - (4/2 + -1)). Let d(a) be the third derivative of -1/32*a**4 + 0 + y*a - 1/240*a**5 + 1/24*a**3 + 1/160*a**6 - 5*a**2. Factor d(f).
(f - 1)*(f + 1)*(3*f - 1)/4
Suppose 0 = 2*w - 5*d - 2, 3*d = 2*w - 0*d - 2. Let v be (w*(-6)/(-2))/((-15)/(-2)). Factor 0 + 0*y + v*y**3 - 3/5*y**2 + y**4.
y**2*(y + 1)*(5*y - 3)/5
Suppose -2*v - 3*c + 2 = 0, -11*v + 14*v - 5*c - 22 = 0. Let 4/3*f**3 - 2*f**v + 2/3*f**5 + 2/3 + 4/3*f**2 - 2*f = 0. What is f?
-1, 1
Let q(b) be the third derivative of -b**6/30 + 33*b**5/5 - 400*b**4 - 5000*b**3/3 + 263*b**2 + 1. Suppose q(m) = 0. What is m?
-1, 50
Find y, given that -32*y + 5*y**2 - 8*y**3 - 3*y**3 + y**2 + 19*y**3 + 24 - 6*y**3 = 0.
-6, 1, 2
Let n = 40 + -33. Suppose 6 - d - 5*d**3 - 2 - d**3 + n*d - 14*d**2 + 10*d**4 = 0. Calculate d.
-1, -2/5, 1
Let a(g) be the second derivative of -g**8/7560 + g**6/1620 + 11*g**3/6 - 11*g. Let l(m) be the second derivative of a(m). Factor l(z).
-2*z**2*(z - 1)*(z + 1)/9
Suppose -4*r + 14 = 5*k, 0 = 3*k + 4*r - r - 9. Suppose -y - 5*o + 14 = -3*y, -2*y = -o - k. Factor -2*l**2 - 3*l**4 - 2*l**2 - 3*l**3 + y*l**5 + 7*l**2.
3*l**2*(l - 1)**2*(l + 1)
Let s(c) = 3*c**4 + 2*c**2 - 6*c - 3. Let n(y) = -13*y**4 + y**3 - 9*y**2 + 26*y + 13. Let u(r) = 2*n(r) + 9*s(r). Factor u(j).
(j - 1)*(j + 1)**3
Let x(i) be the third derivative of 0 + 1/45*i**5 + 0*i**3 + 1/630*i**7 + 0*i - 21*i**2 + 0*i**4 + 1/90*i**6. Determine a so that x(a) = 0.
-2, 0
Suppose -5*s = -6 - 4. Factor t**s - 3*t + 3*t + t**3 - t**4 - t.
-t*(t - 1)**2*(t + 1)
Let n(m) = m**2 - 10*m - 48. Let u be n(14). Suppose -u*g - 18 = -17*g. Factor -6/5*s**3 + 3/5*s**5 + 0 + 0*s**4 + 0*s**g + 3/5*s.
3*s*(s - 1)**2*(s + 1)**2/5
Let v(w) be the third derivative of w**6/165 + 53*w**5/330 + 13*w**4/132 + 2*w**2 - 447. Factor v(f).
2*f*(f + 13)*(4*f + 1)/11
Factor -418*w**3 - 47*w**2 - 335*w**5 + 1022*w**4 - 2650*w**4 - w**2 - 149*w**5 - 126*w**3.
-4*w**2*(w + 3)*(11*w + 2)**2
Suppose 11 + 5 = 5*j + u, -j - u + 4 = 0. Suppose -10*r = j*r. Find n, given that 12/5*n**3 + 2/5*n + r - 2*n**2 = 0.
0, 1/3, 1/2
Let b be ((-1)/(-13))/(10/20). Let i(h) be the first derivative of b*h**3 - 4/13*h + 6 - 1/26*h**4 + 1/13*h**2 - 2/65*h**5. Determine s so that i(s) = 0.
-2, -1, 1
Let g be (215/10)/((10/(-4))/(-1)). Let o = 9 - g. Find q, given that -4/5*q + 14/5*q**2 + 2*q**4 + 0 - 18/5*q**3 - o*q**5 = 0.
0, 1, 2
Let i(x) be the second derivative of -x**5/20 - x**4/4 - x**3/3 - 13*x. Find m, given that i(m) = 0.
-2, -1, 0
Let g = -1867 - -1867. Let k(n) be the third derivative of 1/60*n**5 - 7*n**2 + g + 0*n**3 + 0*n**4 + 0*n + 11/420*n**7 + 13/240*n**6. Factor k(d).
d**2*(d + 1)*(11*d +