of d(a) wrt a.
2
Suppose 5*c + 4 = 14. Find the second derivative of c*b**4 + 2*b**4 - 5*b**4 - 5*b - 6*b**4 wrt b.
-84*b**2
Let q(w) be the second derivative of -3/20*w**5 + 1/3*w**4 + 0 + 0*w**3 + 0*w**2 - w. Find the third derivative of q(u) wrt u.
-18
Let d(s) = -3*s**2 - 2*s**4 + 12*s**4 + 9*s**2 + 6*s. Let x(a) = -a**4 - a**2. Let p(z) = -d(z) - 6*x(z). Find the second derivative of p(k) wrt k.
-48*k**2
Suppose -3*c + 10 = 4. Let d(o) = o**2 + o - 2. Let y be d(-3). Find the second derivative of 0*f**4 - 4*f**2 - 2*f + 3*f**y + 4*f**c wrt f.
36*f**2
Let p(b) be the second derivative of -1/2*b**4 + 0*b**2 - 2*b - b**3 + 0. What is the second derivative of p(a) wrt a?
-12
Let v(i) be the second derivative of -8*i**5/5 - i**4/4 + i**3/3 - 6*i - 2. Find the third derivative of v(r) wrt r.
-192
Let l(p) = -4*p + 7. Let f(g) = 1. Suppose -2*k + 0 - 4 = 0. Let j(v) = k*f(v) + l(v). What is the first derivative of j(h) wrt h?
-4
Suppose 4*u + 5*o + 1 = 14, 3*u - 16 = -5*o. Let m be (-1 - u) + -3 + 1. What is the second derivative of -2*k**3 + m*k + 3*k - 2*k wrt k?
-12*k
Let c(u) be the second derivative of -u**6/120 + u**3/6 + 3*u**2/2 - 2*u. Let i(f) be the first derivative of c(f). Find the first derivative of i(p) wrt p.
-3*p**2
Let r(m) = -23*m**3 - 8*m**2 - 11. Let v(u) = 15*u**3 + 5*u**2 + 7. Let k(g) = -5*r(g) - 8*v(g). Find the first derivative of k(s) wrt s.
-15*s**2
Let d(r) = 6*r - 8. Let q(o) = 5*o - 7. Let y(f) = 4*d(f) - 5*q(f). Let v be y(0). What is the third derivative of -2 - w**2 - 1 + 4*w**4 + v wrt w?
96*w
Let c = -3 + 8. Suppose -m - 5*d - 3 = -0, -2*m = c*d + 1. Differentiate 1 - m*f**2 + f**2 + 0 + 2 with respect to f.
-2*f
Let f(g) be the third derivative of 0*g**3 - 1/15*g**5 + 0 - g**2 + 0*g - 1/24*g**4. Find the second derivative of f(s) wrt s.
-8
Find the second derivative of -61*o**2 - 18150 + 18150 + 42*o wrt o.
-122
Let x(l) be the first derivative of 4*l**5/5 + 5*l**2 + 10. Find the second derivative of x(n) wrt n.
48*n**2
Let f(o) be the third derivative of o**6/120 + o**4/12 + 7*o**2. What is the second derivative of f(r) wrt r?
6*r
Let y(d) = -5*d**2 - 8*d + 4. Let v(n) = -11*n**2 - 16*n + 9. Let k(r) = -4*v(r) + 9*y(r). Find the second derivative of k(u) wrt u.
-2
Find the third derivative of 0*g**6 - 4*g**6 - g**2 + 0*g**6 + 8*g**2 wrt g.
-480*g**3
Let t(o) be the second derivative of 3*o**6/10 + 23*o**2/2 + 10*o. Find the first derivative of t(n) wrt n.
36*n**3
Let z(i) = -13*i**4 - 2*i**2 - 20*i - 2. Let u(m) = -27*m**4 - 5*m**2 - 39*m - 5. Let h(d) = -2*u(d) + 5*z(d). What is the second derivative of h(w) wrt w?
-132*w**2
Let q(t) be the second derivative of 0*t**2 + 0 + 0*t**5 + 1/6*t**4 + 0*t**3 - 1/30*t**6 - 3*t. What is the third derivative of q(l) wrt l?
-24*l
Let o(m) be the second derivative of 11*m**7/42 + 11*m**4/12 - 43*m. Find the third derivative of o(g) wrt g.
660*g**2
Let f(j) be the third derivative of -2*j**7/35 + j**5/60 + 12*j**2. Find the third derivative of f(m) wrt m.
-288*m
Let u(m) be the first derivative of -2*m**5/5 - 2*m - 9. What is the first derivative of u(p) wrt p?
-8*p**3
Let u = 2 + 0. Differentiate -3 + 3 - 3*c**2 + 0*c**2 + u wrt c.
-6*c
Let r(v) = 42*v**3 - 35*v**2 + 2*v. Let x(h) = -85*h**3 + 69*h**2 - 5*h. Let p(g) = 5*r(g) + 2*x(g). Find the third derivative of p(j) wrt j.
240
What is the third derivative of -3*j**6 - 13*j**2 + 11*j**2 - 4*j**6 wrt j?
-840*j**3
Let g(z) be the second derivative of -1/20*z**5 - 3*z - 1/6*z**4 + 0*z**2 + 0*z**3 + 0. Find the third derivative of g(f) wrt f.
-6
Let c be 2/6*(2 - 2). Suppose c = 4*m - 5 + 1. Differentiate -t**4 - m + 1 - 2 - 1 with respect to t.
-4*t**3
Let g be 3/(-2)*(-30)/3. What is the derivative of -1 - 8*m**4 - g*m**2 + 32*m**2 - 17*m**2 wrt m?
-32*m**3
Let w(a) = -a**3 + 9*a**2 - 9*a + 11. Suppose -3*f - f = -32. Let j be w(f). Find the first derivative of 2*h**3 + 3*h**3 + 2 - j*h**3 wrt h.
6*h**2
Let t be (-3 - -6) + (1 - 1). What is the third derivative of -l**3 + t*l**2 + 0*l**3 - 6*l**2 + 2*l**3 wrt l?
6
Let r be ((6 - 1) + -2)/1. Suppose -r*k + 8 = k. Differentiate -t + 6*t - 4*t + k wrt t.
1
Let m(x) be the third derivative of x**9/252 - 7*x**5/60 - 5*x**2. What is the third derivative of m(p) wrt p?
240*p**3
Find the second derivative of -17*k**2 + 5*k + 5*k + 23*k**2 wrt k.
12
Find the second derivative of -12*r**4 - 18*r**4 - 30*r**4 + r - 30*r wrt r.
-720*r**2
Suppose k - 4 = 4*p, 5*p + 2*k - 4 - 4 = 0. Let s(o) = -o**2 + 4*o + 7. Let n be s(5). Find the third derivative of 4*i - n*i**5 + p*i - 3*i**2 - 4*i wrt i.
-120*i**2
Let h(f) be the second derivative of f**9/7560 - f**7/2520 + f**4/4 + 4*f. Let r(i) be the third derivative of h(i). Find the third derivative of r(g) wrt g.
48*g
Let t(a) be the first derivative of -3*a**5/5 + 5*a + 6. Differentiate t(z) with respect to z.
-12*z**3
Let n(p) = -p**2 - 3*p + 1. Let a be n(-2). What is the third derivative of -3*s**5 + 0*s**5 + 2*s**5 - s**5 + a*s**2 wrt s?
-120*s**2
Let d(f) be the second derivative of -8*f - 9/2*f**2 + 0 - 5/3*f**3. What is the first derivative of d(c) wrt c?
-10
Let u(j) be the first derivative of -j**5/5 - j**4/6 + 4*j + 1. Let w(h) be the first derivative of u(h). Find the third derivative of w(r) wrt r.
-24
Let i(y) = y**3 - 5*y**2 + y. Let w be i(5). Suppose -w = -0*p - p. Find the second derivative of 0*m**4 + 2*m**4 + 3*m - 3*m**4 - p*m wrt m.
-12*m**2
Let k(c) be the first derivative of 8*c**3/3 - 5*c**2/2 + 13. Find the second derivative of k(x) wrt x.
16
Find the second derivative of -9*l**3 - 6*l + 7*l**3 + 13*l**3 wrt l.
66*l
Let v(t) be the first derivative of 23*t**4/2 + 10*t**3 + 12. What is the third derivative of v(a) wrt a?
276
Let v = -20559/40 + 514. Let j(d) be the third derivative of d**2 + 0*d + 0*d**4 - 1/2*d**3 - v*d**6 + 0 + 0*d**5. What is the first derivative of j(a) wrt a?
-9*a**2
Suppose -5 = h, 73 = 4*m - 3*h - 2*h. Let v be (-3)/(-18) + 22/m. Find the third derivative of 0*d**2 - 3*d**v + 5*d**6 + d**2 - 4*d**6 wrt d.
120*d**3
Let p = 0 + 3. Find the second derivative of -t**2 - p*t**3 - 6*t**2 - t + 7*t**2 wrt t.
-18*t
Let h(g) = -8*g**2 + 4*g - 7. Let j(b) = -b**2 + b - 1. Let l(p) = h(p) - 4*j(p). What is the first derivative of l(x) wrt x?
-8*x
Let f(b) be the third derivative of -1/3*b**3 + 0*b - 2*b**2 + 0 - 5/24*b**4. Find the first derivative of f(i) wrt i.
-5
Differentiate -6 - 4*b**2 - 86*b + 86*b wrt b.
-8*b
Suppose -4*o = o - 20. Suppose 0 = -k + 3 - 1. What is the first derivative of 1 - 2*g**k - 2 - 1 + o wrt g?
-4*g
Let u be 0/(-1) + (-4 - -1). Let m be (-2)/(-4) + u/6. Differentiate m*n + n - 2*n + 1 wrt n.
-1
Let v(j) = -30*j**5 + j**3 + 9*j**2 + j + 5. Let k(q) = -q**5 - q**3 - 2*q**2 - q. Let z(d) = k(d) + v(d). What is the third derivative of z(t) wrt t?
-1860*t**2
Let n(u) be the first derivative of 25*u**7/7 - 32*u**3/3 + 75. Find the third derivative of n(q) wrt q.
3000*q**3
Let k(j) = j**2 + 7*j + 1. Let d be k(-6). Let f = d - -10. What is the second derivative of 3*o + 5*o**f + 0*o + 0*o - 6*o**5 wrt o?
-20*o**3
Find the second derivative of -4*b**2 + 5*b**2 - b**2 - 7*b**5 - 5*b wrt b.
-140*b**3
Find the second derivative of 14*s**5 + 4*s**5 + 19*s - 9*s**5 wrt s.
180*s**3
Differentiate 2*a - 2*a - 25*a**3 - 16*a**3 - 43 wrt a.
-123*a**2
Let h(b) be the second derivative of 11*b**4/12 + b**3/6 - 21*b**2/2 + 2*b. Differentiate h(s) wrt s.
22*s + 1
Find the second derivative of -9*s + 2*s**5 + 0*s**5 + 3*s - 3*s**5 wrt s.
-20*s**3
Let o = 19 - 19. Let x(z) be the third derivative of 0*z + 1/6*z**3 - 2*z**2 + o + 1/30*z**5 + 0*z**4. Differentiate x(q) wrt q.
4*q
Let v be -1 - 0 - (-18)/2. Let o be (-2 - -1)/((-2)/v). What is the third derivative of -1 - r**2 + r**o - 2 + 3 wrt r?
24*r
Let h(m) be the second derivative of 2/3*m**3 + 0 - 4*m - 3/2*m**2. Differentiate h(k) with respect to k.
4
Let f be (-6)/(-3) + 6/3. Let n(b) be the second derivative of 0 + 0*b**f - 1/20*b**5 - 2*b + 0*b**3 - b**2. What is the first derivative of n(t) wrt t?
-3*t**2
Suppose 5*c - 3 = 2*v - 2, -2*c + 5*v - 8 = 0. What is the second derivative of -2*d**3 + d + c - 3*d - 1 wrt d?
-12*d
Suppose -9*t = -14*t. Let y(a) be the second derivative of 3/20*a**5 + t*a**4 + 5/6*a**3 + 0 - 4*a + 0*a**2. Fi