/2*l**5 + 0*l**4 + l**3 + 0 = 0?
-1, 0, 1
Let c(g) be the second derivative of -1/39*g**4 + 0 + 1/39*g**3 + 0*g**2 + 1/130*g**5 - 4*g. Factor c(n).
2*n*(n - 1)**2/13
Let d(v) = -12*v**3 + 9*v**2 + 6*v. Let h(u) = u**4 - 11*u**3 + 8*u**2 + 4*u. Let l(a) = 2*d(a) - 3*h(a). Factor l(m).
-3*m**2*(m - 2)*(m - 1)
Let s(m) = m**2 + 14*m + 1. Let k(n) = -4. Let p(a) = 4*k(a) + s(a). Solve p(y) = 0 for y.
-15, 1
Factor -13*d**5 - 17*d**5 + 41*d**5 - 12*d**4 - 14*d**5 - 12*d**3.
-3*d**3*(d + 2)**2
Let o(t) be the third derivative of t**7/840 - t**6/240 + t**5/240 + 135*t**2. Factor o(g).
g**2*(g - 1)**2/4
Let v = -21 + 23. Determine p, given that 2*p**v + 13*p + 3*p + 32 + 0*p**2 = 0.
-4
Let i be (6 - 0)*(6 + (-128)/24). Let c(r) be the second derivative of 0*r**2 + 0 + 2*r - 1/18*r**3 - 1/36*r**i. Factor c(h).
-h*(h + 1)/3
Let i be (-5 - 25/(-8)) + 2. Let f(r) be the first derivative of -1/3*r**3 + 6 - i*r**4 + 0*r + 0*r**2. Factor f(l).
-l**2*(l + 2)/2
Let c(x) be the first derivative of 12*x**5/5 - 2*x**4 - 4*x**3/3 - 276. Determine s so that c(s) = 0.
-1/3, 0, 1
Let k(d) = -2*d**2 + 47*d + 78. Let w be k(25). Factor 0*i**2 + 0*i**4 - 4/3*i**5 - 4/3*i + 8/3*i**w + 0.
-4*i*(i - 1)**2*(i + 1)**2/3
Factor w - 56*w - 9*w + 4*w + 136 + 25*w**2 - 29*w**2.
-4*(w - 2)*(w + 17)
Let s(k) be the first derivative of -k**3 + 105*k**2/2 + 108*k + 598. Factor s(f).
-3*(f - 36)*(f + 1)
Let a = 2/11213 + 11207/33639. Factor 0 + 1/3*w**4 - 2*w**2 + 0*w - a*w**3.
w**2*(w - 3)*(w + 2)/3
Determine v so that -4947 - 1099 + 488*v + 5134 - 19911 - 2*v**2 - 8945 = 0.
122
Solve -3/4*f**2 + 3/8*f**3 - 9/8*f + 0 = 0.
-1, 0, 3
Let t(y) be the second derivative of y**7/42 - y**6/24 - 15*y**2/2 - 2*y. Let x(u) be the first derivative of t(u). Let x(i) = 0. Calculate i.
0, 1
Let o = -54 - -51. Let h be (-76)/(-80) + (o - 39/(-12)). Factor 2/5 + 2/5*l - 2*l**2 + h*l**3.
2*(l - 1)**2*(3*l + 1)/5
Suppose -64*s = -2769 + 2641. Solve -1/4*u**4 + 1/2 + 1/4*u**3 - 5/4*u + 3/4*u**s = 0 for u.
-2, 1
Let h(z) = -2*z - 2. Let v be h(-2). Suppose -8*x + 12 = -v*x. Suppose 5*n - 1 + 2 - 14*n + 11*n + n**x = 0. What is n?
-1
Let z(g) = -10*g**3 - 24*g**2 + 25*g + 9. Let t(i) = -22*i**3 - 45*i**2 + 49*i + 18. Let h(v) = 3*t(v) - 7*z(v). Factor h(m).
(m - 1)*(m + 9)*(4*m + 1)
Let r = 6869 - 6864. Suppose -8/9*t**4 + 4/9*t**r + 4/9*t**3 + 0*t**2 + 0*t + 0 = 0. Calculate t.
0, 1
Let v(p) be the first derivative of -1/20*p**4 - 1/15*p**3 - 3/5*p + 1/2*p**2 - 10. Suppose v(l) = 0. What is l?
-3, 1
Let c(f) be the second derivative of -1/12*f**5 + 5/36*f**4 + 1/42*f**7 + 0 - 29*f - 1/18*f**6 + 0*f**2 + 1/9*f**3. Solve c(s) = 0.
-1, -1/3, 0, 1, 2
Let u = 49 - 46. Let o(m) be the first derivative of -3 + 0*m + 5/22*m**4 + 6/55*m**5 + 0*m**2 + 4/33*m**u. Solve o(f) = 0.
-1, -2/3, 0
Let c(h) be the second derivative of 0 - 1/30*h**4 + 8/15*h**3 - 16/5*h**2 + 7*h. Factor c(g).
-2*(g - 4)**2/5
Let -9*q**2 - 14*q + 2*q**3 + 6 + 11*q + 3*q**4 + 2*q**3 - q**3 = 0. Calculate q.
-2, -1, 1
Let n(f) be the third derivative of f**8/6720 - f**6/240 - f**5/3 + 20*f**2. Let r(j) be the third derivative of n(j). Factor r(k).
3*(k - 1)*(k + 1)
Suppose -757 = 6*i - 769. Let m(x) be the second derivative of 3/10*x**5 + i*x**3 + 14*x - 2*x**2 - 1/30*x**6 - 13/12*x**4 + 0. Factor m(r).
-(r - 2)**2*(r - 1)**2
Let j = -78 + 313/4. Find z, given that -1/2*z + 1/4*z**2 + j = 0.
1
Let f(d) = -5*d**2 + 6*d**2 + 5*d + 0*d - 2*d**2 + 3. Let q be f(5). Let 3/4*x**4 + 0 - 3/4*x**2 + 0*x**q + 0*x = 0. Calculate x.
-1, 0, 1
Let q(d) be the first derivative of d**6/195 - 3*d**5/130 + d**4/26 - d**3/39 - 51*d + 34. Let r(v) be the first derivative of q(v). Factor r(i).
2*i*(i - 1)**3/13
Let r(z) be the third derivative of 0 + 1/15*z**5 + 54*z**3 + 21*z**2 - 3*z**4 + 0*z. Find u, given that r(u) = 0.
9
Let v be (2 + 15/(-10))/(1/4). Suppose 5*n + v*q - 22 = 0, q + 6 = 3*n - 5. Factor 0*l**2 + 1/2*l**5 + 0 + 1/2*l**n + 0*l**3 + 0*l.
l**4*(l + 1)/2
Let s(p) be the first derivative of -p**4/4 - 8*p**3/3 + 4*p**2 - 9*p + 1. Let k be s(-9). Factor -9/2*i**2 + k - 3/4*i - 27/4*i**3 - 3*i**4.
-3*i*(i + 1)**2*(4*i + 1)/4
Let w(l) be the third derivative of l**7/20160 - l**5/960 - l**4/24 - 14*l**2. Let a(c) be the second derivative of w(c). Factor a(o).
(o - 1)*(o + 1)/8
Suppose 0 = 2*z - 4*z + 2. Suppose 4*c + z = 5*u + 3, 4*c - 6 = 3*u. Factor -75*p + 75*p - 3*p**3 + c*p**2.
-3*p**2*(p - 1)
Let u(n) be the first derivative of -3*n**4/4 + 8*n**3 + 33*n**2/2 - 54*n + 213. Determine r so that u(r) = 0.
-2, 1, 9
Let r(f) be the third derivative of f**5/12 - 5*f**4/24 - 25*f**3 + 60*f**2 + 4*f. Factor r(h).
5*(h - 6)*(h + 5)
Suppose 5*w = -6 + 31. Let m(f) be the third derivative of 0 + 0*f**4 + 0*f + 1/1050*f**7 + 0*f**6 + 1/30*f**3 - f**2 - 1/150*f**w. Find b such that m(b) = 0.
-1, 1
Let b(q) be the first derivative of 2*q**3/45 + 7*q**2/5 + 136*q/15 + 377. Factor b(t).
2*(t + 4)*(t + 17)/15
Let p be ((-1923)/255 - (-13)/(-221)) + 8. Factor 0*i**2 + 0 + 0*i - p*i**4 - 2/5*i**3.
-2*i**3*(i + 1)/5
Let k(r) be the third derivative of -r**6/240 - r**5/6 - 8*r**4/3 - 64*r**3/3 + 2*r**2 - 29. Determine w so that k(w) = 0.
-8, -4
Suppose -4*n = -56 - 80. Factor 26*b**2 + 15*b - 55*b**2 + n*b**2.
5*b*(b + 3)
Let a = -5657/234 - -315/13. Let j(u) be the third derivative of 7*u**2 + 0 + 0*u + 1/24*u**4 - 1/45*u**5 + a*u**3. Factor j(v).
-(v - 1)*(4*v + 1)/3
Let x(v) = -v**2 - v. Suppose 0 = 5*t - 5*l - 10, l - 2 = -5*t - 2*l. Let g(c) = -4*c**2 + 16*c - 4. Let w(h) = t*g(h) + 4*x(h). Solve w(j) = 0 for j.
1/2, 1
Let d(k) be the first derivative of 17 + 72*k + 2/3*k**3 + 12*k**2. Let d(f) = 0. Calculate f.
-6
Let d(w) = w + 3. Let m be d(1). Let n(x) = -2*x**2 + 7*x + 4. Let l be n(m). Factor -8/3*a**2 + l - 2/3*a.
-2*a*(4*a + 1)/3
Let f be (9/(-21))/(15/(-1835)). Let i = f - 52. Let i + 0*g - 3/7*g**2 = 0. What is g?
-1, 1
Let c(o) be the second derivative of 0*o**2 + 1/70*o**6 + 0*o**3 + 0 + 1/28*o**4 + 10*o - 3/70*o**5. What is m in c(m) = 0?
0, 1
Let y(l) = 5*l - 5. Let z be y(2). Let u be ((-1 + 1)/(-1))/(4 - 3). Determine d so that 32/3*d - 17/3*d**4 - d**z + 16/3 - 28/3*d**3 + u*d**2 = 0.
-2, -2/3, 1
Let i be (-5 - (2 - 6))*-2. Let l(s) be the first derivative of s**2 - i*s + 2/3*s**3 - 1/2*s**4 - 4. Determine a, given that l(a) = 0.
-1, 1
Let f be 1*2/(-5) + (-276)/(-115). Suppose -t = -2*m, 3*t = f*t + m. Factor t*a - 2/13*a**2 - 4/13*a**3 + 0 - 2/13*a**4.
-2*a**2*(a + 1)**2/13
Let z(n) be the third derivative of n**5/390 + n**4/12 + 41*n**2. Determine r so that z(r) = 0.
-13, 0
Let t(u) be the third derivative of u**9/332640 + u**8/55440 + 9*u**5/20 + 11*u**2. Let j(p) be the third derivative of t(p). Factor j(w).
2*w**2*(w + 2)/11
Let x(h) be the third derivative of 0*h - 1/210*h**5 + 0 + 1/42*h**4 + 1/7*h**3 + 27*h**2. Factor x(z).
-2*(z - 3)*(z + 1)/7
Let q = 70/11 + -188/33. Factor 0 + q*l**2 - 4/9*l - 2/9*l**4 + 0*l**3.
-2*l*(l - 1)**2*(l + 2)/9
Let v(y) be the third derivative of y**6/720 + y**5/15 + 5*y**4/16 + 11*y**3/18 + 141*y**2. Factor v(u).
(u + 1)**2*(u + 22)/6
Solve 28/3*k - 8 - 4/3*k**2 = 0 for k.
1, 6
Let n(j) be the third derivative of -j**7/735 + 31*j**6/210 - 359*j**5/70 + 899*j**4/21 - 3364*j**3/21 - 2*j**2 + j. Suppose n(o) = 0. Calculate o.
2, 29
Let 93*n + 90 - 3/4*n**4 + 45/2*n**2 - 9/4*n**3 = 0. What is n?
-5, -2, 6
Let q(t) = -t**2 - 11*t - 26. Let y(r) = 9*r + 24. Let f(n) = 3*q(n) + 4*y(n). Factor f(s).
-3*(s - 3)*(s + 2)
Let r(c) = -c**3 - 13*c**2 + 23*c - 13. Let a(t) = -2*t**3 - 27*t**2 + 45*t - 26. Let x(v) = 6*a(v) - 15*r(v). Factor x(u).
3*(u - 1)**2*(u + 13)
Let f(b) be the third derivative of -6/7*b**3 + 19*b**2 + 0*b - 4/105*b**5 + 0 - 1/4*b**4 - 1/420*b**6. Solve f(j) = 0.
-3, -2
Let v(g) be the first derivative of -5*g**6/6 + 5*g**5 + 75*g**4/2 + 250*g**3/3 + 175*g**2/2 + 45*g + 179. Factor v(z).
-5*(z - 9)*(z + 1)**4
Let l(o) be the second derivative of -o**6/30 + 7*o**5/20 - o**4/12 - 9*o**3/2 - 9*o**2 + 14*o. Factor l(v).
-(v - 6)*(v - 3)*(v + 1)**2
Let h(v) be the first derivative of 2*v**6/9 - 7*v**5/15 + 2*v**4/9 - 19*v + 49. Let u(f) be the first derivative of h(f). Determine p so that u(p) = 0.
0, 2/5, 1
Let x(i) be the first derivative of -2 + 1/12*i**3 - 7/4*i + 3/4*i**2. Factor x(g).
(g - 1)*(