pose w*f - 10/3*f**2 + 1/3*f**5 - 1/3 + 10/3*f**3 - 5/3*f**b = 0. Calculate f.
1
Let a(m) be the second derivative of -m**7/189 + 2*m**6/135 + m. Solve a(v) = 0.
0, 2
Let m = -337 - -340. Factor 0*o + 2/3*o**m + 0 - 2/9*o**2 - 2/3*o**4 + 2/9*o**5.
2*o**2*(o - 1)**3/9
Let b(q) be the third derivative of q**5/240 + q**4/32 + q**3/12 + 11*q**2. Factor b(k).
(k + 1)*(k + 2)/4
Let r = 120 + -117. Let t(a) be the first derivative of -2/5*a**2 - 2/5*a - 2/15*a**r + 1. What is x in t(x) = 0?
-1
Let z(p) = -p. Let m be z(-3). Determine y so that -y**3 - 2*y + 0*y**m + 2*y**2 + y + 0*y = 0.
0, 1
Let o = 40 - 119/3. Factor 8/3*l + 4/3 + o*l**3 + 5/3*l**2.
(l + 1)*(l + 2)**2/3
Suppose -3*a - 45 = -6*a. Suppose 3*l - a = -0*l. Factor 38/5*m**4 + 6*m**3 + 14/5*m**l + 2/5*m**2 - 4/5*m + 0.
2*m*(m + 1)**3*(7*m - 2)/5
Determine o so that 5/4*o**4 + 0*o**2 + 0 + 1/2*o**3 + 0*o = 0.
-2/5, 0
Let s(g) be the third derivative of -5*g**8/336 + g**6/12 - 5*g**4/24 + 27*g**2. Solve s(m) = 0.
-1, 0, 1
Let x = -24 - -40. Let t be (4 + -1)/(12/x). Factor 9*s**t + 2*s**2 - s**4 + 42*s**3 - 32*s**3.
2*s**2*(s + 1)*(4*s + 1)
Let q be 3/(-6) - (-65)/10. Solve -15*y**5 + q*y**2 - 2*y**4 + 15*y**3 - 2*y**4 - 2*y**4 = 0.
-1, -2/5, 0, 1
Let h = -115/9 - -13. Let y(d) be the first derivative of 4/3*d - d**2 - 2 + h*d**3. Factor y(i).
2*(i - 2)*(i - 1)/3
Let k be -11 - ((-16)/4 + 3). Let x be k/18*(-24)/60. Find w such that -2/9*w + x*w**2 - 4/9 = 0.
-1, 2
Let q be 6/((-288)/(-28)) - 1/4. Factor q*y**2 + 4/3 + 4/3*y.
(y + 2)**2/3
Let n = 96 + -96. Let t(y) be the third derivative of -1/8*y**4 + n*y + 0 + y**2 + y**3 - 1/20*y**5. Factor t(k).
-3*(k - 1)*(k + 2)
Let c(i) = i**2 - 14*i + 4. Let x be c(14). Let z = x + -2. Let 2/5 + 1/5*r**3 - 1/5*r - 2/5*r**z = 0. What is r?
-1, 1, 2
Let x = 14454/59 - 245. Let c = x + 123/295. Factor -c*g**2 + 0 - 2/5*g**3 + 0*g.
-2*g**2*(g + 1)/5
Let h be (6/4)/(15/4). Factor 0 - h*f**2 + 2/5*f.
-2*f*(f - 1)/5
Let x(l) be the first derivative of 0*l**4 - 1/9*l**2 - 4/27*l**3 + 0*l + 4/45*l**5 + 1/27*l**6 - 5. Factor x(u).
2*u*(u - 1)*(u + 1)**3/9
Let b(t) be the first derivative of 13*t**3/2 - 3*t**2/2 + 22. Suppose b(u) = 0. What is u?
0, 2/13
Let l be ((-4)/18)/(44/(-99)). Let h(k) be the first derivative of -3 - 1/3*k**2 + 2/3*k**3 - l*k**4 + 2/15*k**5 + 0*k. Factor h(m).
2*m*(m - 1)**3/3
Suppose 5*k - 6 = 9. Factor 5*z**2 + 0*z - 14*z**2 - 1 + 16*z**k + 9*z - 15*z**2.
(z - 1)*(4*z - 1)**2
Let f = -56 + 56. Factor -1/3*j + 1/6*j**2 + f.
j*(j - 2)/6
Let q(x) be the second derivative of -x**6/60 + x**5/15 - x**4/12 + x**2 + x. Let y(r) be the first derivative of q(r). Determine h so that y(h) = 0.
0, 1
Let o(u) = 12*u**2 + 4*u - 16. Let d(t) = -4*t**2 - t + 5. Let w(r) = 16*d(r) + 5*o(r). Solve w(c) = 0.
0, 1
Suppose -60*c**2 + 30*c**3 - 2*c**4 - c**4 + 40*c - 4*c**4 + 2*c**4 = 0. Calculate c.
0, 2
Factor 2/7*r**4 - 2/7*r - 6/7*r**3 + 6/7*r**2 + 0.
2*r*(r - 1)**3/7
Solve -5/3*t**2 - 1/3*t**3 - 8/3*t - 4/3 = 0 for t.
-2, -1
Let c(r) be the third derivative of 0*r - 1/10*r**4 - 1/75*r**5 + 0*r**3 + 5*r**2 + 0. Let c(d) = 0. Calculate d.
-3, 0
Let s(n) be the second derivative of n**4/24 - n**3/3 + n**2 + 16*n. Determine y so that s(y) = 0.
2
Let l(f) be the third derivative of -f**6/12 - 2*f**5/5 - f**4/3 - 10*f**2. Factor l(u).
-2*u*(u + 2)*(5*u + 2)
Let n(t) be the second derivative of 4*t + 1/126*t**7 + 1/10*t**5 + 0*t**2 + 0 + 1/18*t**3 - 2/45*t**6 - 1/9*t**4. Suppose n(j) = 0. Calculate j.
0, 1
Let a = -224 + 226. Determine i so that 2/5*i**3 - 2/5*i**a - 2/5*i + 2/5 = 0.
-1, 1
Let x(p) be the first derivative of 5*p**3/3 + 15*p**2/2 - 27. Find t, given that x(t) = 0.
-3, 0
Let t(x) be the third derivative of 0 - 1/84*x**4 - 1/2*x**3 + 3*x**2 + 0*x + 1/210*x**5 + 1/420*x**6. Let l(v) be the first derivative of t(v). Factor l(w).
2*(w + 1)*(3*w - 1)/7
Suppose 4*f - 2*f = 8. Let t = -4 + f. Suppose t + 1/4*h**2 - 1/4*h**5 + 0*h + 1/4*h**3 - 1/4*h**4 = 0. Calculate h.
-1, 0, 1
Let d(f) be the second derivative of -f**10/15120 + f**9/3780 - f**8/3360 + f**4/4 + 3*f. Let v(u) be the third derivative of d(u). Find l, given that v(l) = 0.
0, 1
Let m(x) be the first derivative of x**6/18 - x**5/30 - x + 1. Let n(s) be the first derivative of m(s). Factor n(g).
g**3*(5*g - 2)/3
Suppose -2*k + 6 = 5*o - 9, -3*k + 15 = 5*o. Let f(z) be the third derivative of k + 1/10*z**5 - 1/30*z**6 + 0*z**3 + 0*z - 1/12*z**4 + 3*z**2. Factor f(h).
-2*h*(h - 1)*(2*h - 1)
Let q(j) be the third derivative of j**2 - 1/120*j**6 + 0*j**5 + 0*j**3 + 1/140*j**7 + 0 + 0*j + 1/336*j**8 + 0*j**4. Let q(c) = 0. Calculate c.
-2, 0, 1/2
Let m(h) be the first derivative of -4*h**5/5 - 2*h**4 - 4*h**3/3 + 5. Factor m(v).
-4*v**2*(v + 1)**2
Let a = 68/7 + -333/35. Solve -a*p**2 - 2/5*p + 3/5 = 0.
-3, 1
Suppose -5*l + l = -3*b - 2, 2*b = -3*l + 27. Let 4*s**2 - 2*s**2 + 0*s - 9*s - b - 5*s**2 = 0. What is s?
-2, -1
Let u(k) be the third derivative of -k**7/140 - k**6/20 - k**5/8 - k**4/8 + 3*k**2. Factor u(w).
-3*w*(w + 1)**2*(w + 2)/2
Let g(z) be the second derivative of z**7/5040 - z**6/1440 + z**4/4 - 5*z. Let v(x) be the third derivative of g(x). Factor v(c).
c*(c - 1)/2
Let q(l) be the second derivative of -l**6/105 - l**5/70 + 2*l**4/21 + 4*l**3/21 + 3*l. Solve q(v) = 0 for v.
-2, -1, 0, 2
Let k(c) be the third derivative of c**9/48384 + c**8/11520 + c**7/10080 + c**5/20 + c**2. Let l(j) be the third derivative of k(j). What is t in l(t) = 0?
-1, -2/5, 0
Suppose 3*w = 4*c + 10, 4*w + w - c - 28 = 0. Suppose 3*o - w = -0. Factor 0*x + 0*x**o - 4/7*x**4 + 2/7*x**5 + 0 + 2/7*x**3.
2*x**3*(x - 1)**2/7
Let p be 3/7 + (-9)/21. Factor 0*m + 0 + 3/2*m**3 + p*m**2.
3*m**3/2
Let i be 21/2 - (-12)/(-8). Let b be (2*-1)/(i/(-7)). Factor 4/9*y**2 + 14/9*y**3 - b*y - 4/9.
2*(y - 1)*(y + 1)*(7*y + 2)/9
Let y(n) = n**3 + 5*n**2 - 9*n - 6. Let h be y(-6). Factor -18*z**3 - h*z**4 - 12*z**2 + 0*z + 4*z**5 - 2*z - z - 7*z**5.
-3*z*(z + 1)**4
Let o be (-8)/(-5) + (-6)/(-15). Determine w so that 3*w**5 - 5*w**3 - 3*w**4 - w**3 - 3 + 3*w + w**o + 5*w**2 = 0.
-1, 1
Let k(d) = 5*d**2 + 2*d. Let j be k(-2). Suppose j = 5*a - 14. Solve a*s + 3*s**4 + 2*s**2 - 5*s**2 + 3*s**3 - 9*s**3 = 0 for s.
-1, 0, 1, 2
Suppose 8*p + 560 = 3*p. Let w be (-2)/(-7) + 4/p. Factor 1/4*n**3 + 0*n**2 + w*n**5 + 0*n + 0 - 1/2*n**4.
n**3*(n - 1)**2/4
Let w be (((-8)/(-5))/4)/(2/10). Factor -1/7*m**3 + 1/7*m + 0*m**w + 0.
-m*(m - 1)*(m + 1)/7
Let g = 21/2 - 10. Let h(q) be the second derivative of 0*q**3 - 3*q - 1/12*q**4 + 0 + g*q**2. Solve h(o) = 0.
-1, 1
Factor 1/2*s**3 - 1/2*s - 3/2 + 3/2*s**2.
(s - 1)*(s + 1)*(s + 3)/2
Let q be (5 - 3) + 1 + 0. Factor u**4 - u**5 - 3*u**q + 3*u**3 - u**2 + u**3.
-u**2*(u - 1)**2*(u + 1)
Let m(j) be the third derivative of 3*j**7/70 + 7*j**6/40 + 3*j**5/20 - 3*j**4/8 - j**3 + 14*j**2. Factor m(l).
3*(l + 1)**3*(3*l - 2)
Factor a**4 - a**4 + a**5 - 3*a**3 + 2*a**2 + 0*a**4.
a**2*(a - 1)**2*(a + 2)
Factor 0 - 16/13*i**2 - 8/13*i + 10/13*i**3.
2*i*(i - 2)*(5*i + 2)/13
Factor -2*l**2 - 5/2*l**3 + 0 + 1/2*l.
-l*(l + 1)*(5*l - 1)/2
Let w(u) = -u**2 + 7*u + 2. Let t(c) be the first derivative of 2*c**3 - 24*c**2 - 15*c - 3. Let g(o) = 2*t(o) + 15*w(o). Determine f so that g(f) = 0.
0, 3
Let a(x) = 9*x**2 + 64*x + 144. Let n(k) = -6*k**2 - 43*k - 96. Let p(h) = 5*a(h) + 8*n(h). Factor p(j).
-3*(j + 4)**2
Suppose -2 = 5*f - 12. Let 0*p**2 - 4*p**f - 4 + 3*p**2 + 4*p = 0. Calculate p.
2
Let h(v) be the second derivative of 1/10*v**6 - 1/6*v**4 + 0 + 3*v + 0*v**2 - 1/20*v**5 + 0*v**3. Solve h(w) = 0.
-2/3, 0, 1
Let b be (-79)/(-56) - (5 - (-351)/(-72)). Factor 6/7 - b*u + 3/7*u**3 + 0*u**2.
3*(u - 1)**2*(u + 2)/7
Let a be (2/(-18))/(3/9*-4). Let y(x) be the third derivative of a*x**4 - x**2 + 0 + 0*x**5 + 0*x + 0*x**3 - 1/60*x**6. Factor y(t).
-2*t*(t - 1)*(t + 1)
Let j(b) = -3*b**2 - b + 4. Let i(r) be the first derivative of -2*r**3 - 3*r**2/2 + 9*r - 8. Let t(s) = -4*i(s) + 9*j(s). Determine q so that t(q) = 0.
0, 1
Let p(j) be the first derivative of -j**6/40 + j**2/2 + 2. Let b(x) be the second derivative of p(x). Factor b(m).
-3*m**3
Let p = 518 + -515. Let -1/4*k**p + 0 + 1/2*k + 1/4*k**2 = 0. What is k?
-1, 0, 2
Let p(o) be the third derivative of 0*o + 1/60*o**5 - 1/120*o**6 - 1/6*o**3 + 