- 2*o. Let j(b) = -b. Let q(u) = -2*j(u) + w(u). Find the third derivative of q(y) wrt y.
42
Let o(x) be the second derivative of 23*x**3/3 + 37*x**2/2 + 4*x - 1. Differentiate o(n) wrt n.
46
Let g(r) be the second derivative of -9*r**4/4 + 45*r**2/2 + r. Differentiate g(v) with respect to v.
-54*v
Suppose -3*j + 10 = -j. What is the first derivative of -j + 3*d**2 + 0*d**2 - 2*d**2 wrt d?
2*d
What is the third derivative of 2*t**2 + 123*t**3 - 146*t**3 - 5*t**2 + 9*t wrt t?
-138
Suppose -k = -2*k + 3*t + 29, t = 5*k - 173. Differentiate -h**4 - 30 + k - h**4 wrt h.
-8*h**3
Suppose 2*u + 6 = -8. Let w(q) = q**3 - 3*q**2 - 5*q. Let j(t) = -2*t**3 + 4*t**2 + 7*t. Let l(h) = u*w(h) - 5*j(h). Find the third derivative of l(r) wrt r.
18
Let p = 7 + -8. Let h be 0 - ((-1)/p - 8). What is the third derivative of -6*q**2 - 2*q**6 - 3*q**6 + h*q**2 wrt q?
-600*q**3
Let g(m) be the second derivative of 11*m**5/20 + m**3/3 - 14*m. Find the second derivative of g(r) wrt r.
66*r
Suppose 0 = 5*x - 71 - 39. Suppose -2 = 4*c - x. Find the second derivative of -6*j**3 + c*j + 3*j**3 - 2*j wrt j.
-18*j
Let m be (-1 + 2)*2/1. Suppose m*f + 3*f = 10. Find the second derivative of k + k + k**f + 0*k**2 wrt k.
2
Let o(u) be the second derivative of 0*u**4 - 2*u + 0*u**3 + 1/20*u**5 + 0 - u**2. Differentiate o(n) wrt n.
3*n**2
Let s(h) be the first derivative of -h**8/840 + h**4/24 - h**3 - 4. Let x(f) be the third derivative of s(f). Differentiate x(q) wrt q.
-8*q**3
Find the third derivative of 31*z**6 - 46*z**6 + 4*z**2 - z**4 + z**4 wrt z.
-1800*z**3
Let n(m) = m - 7. Let i be n(9). What is the first derivative of -2*s**2 - 5*s**3 + 3 + 2*s**i - 7 wrt s?
-15*s**2
Let t(l) be the first derivative of -l**6 - 3*l**2 + 4. Find the second derivative of t(m) wrt m.
-120*m**3
What is the derivative of -5 + 22*t**4 + 17*t**4 - 13*t**4 + 4*t**4 wrt t?
120*t**3
Let f(v) = -v**2 - 7*v + 10. Let c be f(-8). What is the third derivative of 0*b**3 - 2*b**2 - c*b**3 + 0*b**2 wrt b?
-12
Suppose -c = y, 2*c + 2 = -4*y - 3*c. What is the first derivative of y - 9*j + j + 7*j - 2*j wrt j?
-3
Let d(z) be the first derivative of 8*z**7/7 - z**3/3 - 16. What is the third derivative of d(t) wrt t?
960*t**3
Suppose 2*u + 2 = 4*u. Let f(s) = 1. Let l(p) = -p**2 - 2*p - 5. Let w(g) = u*l(g) + 5*f(g). Find the second derivative of w(m) wrt m.
-2
Differentiate 10 - 4 - 2*o + 6*o wrt o.
4
Let y = 5 - 3. Let f = y - 0. What is the third derivative of -m**2 + m**5 - f*m**2 + 0*m**5 wrt m?
60*m**2
Let t(w) be the second derivative of -7/12*w**4 + 0*w**5 + 7/30*w**6 + 0*w**3 + 0 + 0*w**2 + 5*w. What is the third derivative of t(n) wrt n?
168*n
Let q be ((-1)/4*0)/2. Find the third derivative of -2*x**2 + 5*x**2 - 3*x**3 + q*x**2 + 0*x**2 wrt x.
-18
Let d = 4 + -2. Suppose -d*x + 0 = -6. Find the first derivative of -4*n**3 + 5*n**x - 2 - 3*n**3 wrt n.
-6*n**2
Let g = -8 - -11. Let b = -1 + g. What is the third derivative of b*w - 2*w + 2*w**4 + 2*w**2 wrt w?
48*w
Let j(s) be the first derivative of -s**10/720 - 7*s**6/360 - s**3 - 2. Let t(m) be the third derivative of j(m). What is the third derivative of t(y) wrt y?
-840*y**3
Let v(p) = -2*p**2 - 5*p. Let t(g) = -g**2 - 4*g. Let b(x) = 4*t(x) - 3*v(x). What is the second derivative of b(f) wrt f?
4
Let x(v) be the second derivative of 0*v**4 - 3/2*v**2 + 0 + 1/10*v**6 + 5*v + 0*v**3 + 0*v**5. Differentiate x(q) with respect to q.
12*q**3
Let u(r) be the third derivative of -r**7/210 + 7*r**4/24 + 8*r**2. Find the second derivative of u(t) wrt t.
-12*t**2
Let x(a) = -27*a**2 - 45*a + 9. Let h(k) = 7*k**2 + 11*k - 2. Let o(u) = 9*h(u) + 2*x(u). What is the second derivative of o(f) wrt f?
18
What is the first derivative of 3 + 1 - 9*y**2 + 21*y**2 wrt y?
24*y
What is the third derivative of 7*o**6 - o**6 - 3*o**2 - 4*o**6 + 7*o**2 wrt o?
240*o**3
What is the second derivative of 3*p + 2*p - 13*p**4 - p**4 - p wrt p?
-168*p**2
Let d(t) = 37*t**2 + 8. Let c(j) = -148*j**2 - 33. Let b(m) = 2*c(m) + 9*d(m). What is the derivative of b(s) wrt s?
74*s
Find the third derivative of 4*r**2 - 5*r**4 - r**4 - 6*r**2 wrt r.
-144*r
Suppose 0 = -a - 4*a + 15. Find the second derivative of -5*o**a + 2*o**3 + 2*o**3 - o**3 - o wrt o.
-12*o
Let o(p) = -14*p**2 + 26. Let j(x) = -x**2 - 1. Let b(k) = 5*j(k) + o(k). Find the first derivative of b(s) wrt s.
-38*s
Let l = 63 - 59. Let w(h) be the second derivative of 0 + 2*h + 1/6*h**l + 0*h**2 + 1/2*h**3. Find the second derivative of w(m) wrt m.
4
Let p be 0 + 0 + (0 - -4). What is the second derivative of d + 2*d + 4*d**p + 0*d wrt d?
48*d**2
Suppose 4*f - l - 18 = 0, -5*l + 4 + 2 = 4*f. Let j = 1 + f. Find the first derivative of -m**3 - 2 + 6*m**3 + j wrt m.
15*m**2
Let s = 10 + -7. What is the second derivative of 0*p - p - 2*p**3 - 3*p**3 + 3*p**s wrt p?
-12*p
Let k(d) be the second derivative of 5*d**4/12 - d**3 - d. What is the second derivative of k(b) wrt b?
10
Let z be (-172)/(-3)*(-12)/(-8). Find the third derivative of -4*f**6 - f**2 - 86 + z wrt f.
-480*f**3
Let l(w) = -11*w - 3. Let u(x) = 3*x. Let i(r) = 3*l(r) + 12*u(r). Differentiate i(n) wrt n.
3
Let z(o) be the third derivative of 6*o**2 + 0*o - 1/6*o**3 + 0*o**6 - 1/70*o**7 + 0 + 0*o**4 + 0*o**5. What is the first derivative of z(n) wrt n?
-12*n**3
Let y(p) be the third derivative of 0*p**4 + 0*p + 6*p**2 + 1/24*p**6 + 0*p**3 - 7/60*p**5 + 0. Find the third derivative of y(u) wrt u.
30
Suppose 5*z - 12 + 2 = 0. Differentiate -z + 0*d + 1 - d with respect to d.
-1
Let z(t) be the second derivative of 3*t**8/56 - t**4/12 + 10*t. What is the third derivative of z(w) wrt w?
360*w**3
Suppose 2*y = -2*y - 16. Let a(g) = 3*g**2 + 2*g - 1. Let n(p) = -3*p**2 - 3*p - p**2 + 1 + 0*p**2. Let o(w) = y*n(w) - 6*a(w). Differentiate o(j) wrt j.
-4*j
Let r(k) = 27*k**3 + 6*k**2 - 11*k + 6. Let i(x) = -54*x**3 - 11*x**2 + 23*x - 11. Let h(j) = 6*i(j) + 11*r(j). Find the second derivative of h(s) wrt s.
-162*s
Let l = 7 - 6. Suppose -l - 4 = -a. Find the third derivative of 3*p**2 + 0*p**2 + 2*p**6 - a*p**6 wrt p.
-360*p**3
Let l(x) = 2*x - 3. Let g be l(3). Differentiate 3*o**g + 2 + 2 + 2 - 2 with respect to o.
9*o**2
Find the third derivative of -t**2 + 6*t**2 + 2*t**2 - 7*t**5 wrt t.
-420*t**2
Let q(x) = -x**2 + 8*x + 2. Let w be q(7). What is the third derivative of -w*l**4 + 0*l**4 - l**2 - 5*l**2 + l**4 wrt l?
-192*l
Let l be 0/(-1)*2/4. Suppose -b = -2*a, -a = -l - 3. Find the third derivative of -2*d**b + d**6 + 2*d**2 + 0*d**2 wrt d.
-120*d**3
Let s(w) be the first derivative of 3*w**5/10 + 5*w**3/6 - w - 6. Let u(m) be the first derivative of s(m). Find the second derivative of u(j) wrt j.
36*j
What is the derivative of -11 - 15 - 9*d + 42 wrt d?
-9
Let y(q) = -2*q**3. Suppose 15 = -4*d - 9. Let a(h) = h**4 - 7*h**3 - 1. Let j(r) = d*a(r) + 21*y(r). Differentiate j(o) with respect to o.
-24*o**3
Let j(d) be the second derivative of -d**6/10 - 8*d**3/3 + 24*d**2 - d - 1. Differentiate j(g) wrt g.
-12*g**3 - 16
Differentiate 6 + 24*d - 3*d**4 - 24*d with respect to d.
-12*d**3
Let v(t) be the third derivative of 0*t**3 + 0 - 1/60*t**5 + 0*t - 1/8*t**4 - 8*t**2. What is the second derivative of v(o) wrt o?
-2
Let r(s) be the first derivative of 2*s**7 + 7*s**3/3 + 16. What is the third derivative of r(d) wrt d?
1680*d**3
Let k = -28 + 28. Let t(y) be the second derivative of -2*y + 0*y**3 + k*y**4 - 3/20*y**5 + 3/2*y**2 + 0. What is the derivative of t(u) wrt u?
-9*u**2
Let c = 2 + -1. Let x(p) = -3*p**4 - 2*p**2 + 3*p + 3. Let w(o) = o**5 - o**4 + o + 1. Let q(u) = c*x(u) - 3*w(u). Find the third derivative of q(m) wrt m.
-180*m**2
Differentiate 11 + 19*f - 9 - 2 + 28 wrt f.
19
Let a(s) be the second derivative of -53*s**6/30 + s**3/6 - 4*s**2 - 10*s. What is the second derivative of a(q) wrt q?
-636*q**2
Let x = 6 - 4. Suppose 0 = 5*c - x*c - 6. Differentiate b**c + 2*b**2 - 4*b**2 - 2 wrt b.
-2*b
Let l(y) = 6*y**4 + 5*y**2 - 9. Let q(n) = -5*n**4 - 6*n**2 + 8. Let p(v) = -6*l(v) - 5*q(v). What is the first derivative of p(x) wrt x?
-44*x**3
Let l = -10 - -4. Let i be (-1 - 1)*15/l. What is the second derivative of -2*m**i - m + 6*m**5 - 2*m**5 wrt m?
40*m**3
Let q(f) be the third derivative of f**6/40 - f**5/15 - f**2. What is the third derivativ