52*w**2
Suppose u + 6 = 4*u. Let h = 0 - 0. What is the first derivative of -1 + 3 + 2*p**u + h*p**2 - 4 wrt p?
4*p
Let t(z) = -z**2 + z. Let v(q) = -13*q**3 + 3*q**2 - 16*q. Let i(j) = -3*t(j) - v(j). Find the second derivative of i(w) wrt w.
78*w
Let z(v) be the second derivative of 0*v**4 + 0 + 3*v + 0*v**2 - 1/10*v**6 + 1/3*v**3 + 0*v**5. Find the second derivative of z(t) wrt t.
-36*t**2
Suppose 0 = -3*u + 8*u - 5. Differentiate -u + 4 + 2*l**4 - 7*l**4 with respect to l.
-20*l**3
Let s(n) be the first derivative of 13*n**2/2 - 18*n - 12. Differentiate s(m) wrt m.
13
Let t(m) be the first derivative of m - 1 + 3/5*m**5 + 0*m**2 + 0*m**4 + 0*m**3. What is the derivative of t(d) wrt d?
12*d**3
Let w = -4 - -6. What is the first derivative of -2 - 3 + 5*r**4 - w + 6 wrt r?
20*r**3
Let l(d) be the second derivative of -1/5*d**5 + d + 2*d**2 + 0*d**3 + 0*d**4 + 0. What is the first derivative of l(u) wrt u?
-12*u**2
Let y(l) = -8*l + 8. Let i be y(1). Let q(o) be the third derivative of 0 + i*o**4 - 1/2*o**3 - 4*o**2 + 0*o + 1/30*o**5. What is the derivative of q(c) wrt c?
4*c
Find the third derivative of -13*d**3 - 3*d + 7*d**2 - 4*d + 7*d wrt d.
-78
Find the third derivative of 37*s**6 - 3*s**6 - 82*s**6 - 38*s**2 wrt s.
-5760*s**3
Let g(a) be the first derivative of a**5/15 - a**4/24 + a**2 - 3. Let u(i) be the second derivative of g(i). What is the second derivative of u(t) wrt t?
8
Find the third derivative of 2*w + 4*w**2 + w**3 + 0*w - 2*w wrt w.
6
Let b(u) be the third derivative of u**4/6 + 5*u**3/2 - 13*u**2. Find the first derivative of b(y) wrt y.
4
Let b be (-2)/10 + 205/25. Find the third derivative of 15*t + b*t**4 + 3*t**2 - 15*t + 3*t**2 wrt t.
192*t
Let n = -6 - -11. Find the third derivative of 6*k**2 + 3*k**2 + 4*k**n - 5*k**2 wrt k.
240*k**2
Suppose 4*y - 7*b + 12 = -3*b, 3*y = -5*b + 31. Suppose 5*p - p = y*h + 8, 32 = 4*h + 4*p. What is the third derivative of -2*u**4 - h*u + 4*u + u**2 wrt u?
-48*u
Let m(k) = -k**2 + 2*k - 9. Let p(z) = -z**2 + z - 1. Let l = 12 + -14. Let d(s) = l*p(s) + m(s). Differentiate d(g) wrt g.
2*g
Let r(x) = 4*x - 1 + 3 - 5*x. Let s be r(0). What is the derivative of z**s - z**2 + 0*z**3 + 3*z**3 - 1 wrt z?
9*z**2
What is the derivative of -10*m**2 + 2*m**2 + 3*m**2 - 28 + 3*m**2 + 21*m**4 wrt m?
84*m**3 - 4*m
Let q = -68 + 70. Let i(l) be the first derivative of -3*l - 3 + 3/2*l**q. Differentiate i(n) with respect to n.
3
Let s(c) be the third derivative of -c**6/30 + c**4/3 + 7*c**2. What is the second derivative of s(u) wrt u?
-24*u
Let u(f) be the second derivative of 7*f**4/12 + f**3/6 + 6*f. What is the second derivative of u(l) wrt l?
14
Differentiate -h**3 - 2 + 14 - 13*h**3 + 0 wrt h.
-42*h**2
Let z = 6 - 13. Let t(v) = 3*v**3 - 5*v**2 + 7*v + 7. Let j(f) = 2*f**3 - 3*f**2 + 4*f + 4. Let l(i) = z*j(i) + 4*t(i). Find the third derivative of l(c) wrt c.
-12
Let q(x) = -9*x + 3. Let u(c) = -c - 2*c + 2*c. Let t(k) = -q(k) + 6*u(k). Differentiate t(i) with respect to i.
3
Let z be (-4)/14 + 32/14 + -2. Let h(p) be the third derivative of 0*p**4 + 0 + 1/3*p**3 + 0*p**6 + 1/210*p**7 + 0*p - p**2 + z*p**5. Differentiate h(f) wrt f.
4*f**3
Let m(z) = 3*z - 3 - 2*z + 0*z. Let b be m(5). What is the first derivative of 2 - 6 - i**b + 2 wrt i?
-2*i
Let n be ((-1)/(-3))/((-1)/(-9)). Let v = 10 + -7. Find the first derivative of 3 - v - 2*i**3 + n*i**3 - 3 wrt i.
3*i**2
Let t(a) be the first derivative of 3*a - 1/6*a**3 + 1/2*a**2 + 4. Let f(y) be the first derivative of t(y). What is the first derivative of f(m) wrt m?
-1
Let h(q) be the third derivative of -q**9/72 - 3*q**5/20 - 6*q**2. What is the third derivative of h(v) wrt v?
-840*v**3
Let t be (0 + -3)/(-9)*6. Suppose 2*c - 2*h = -4*h, 2 = 4*c + 3*h. What is the third derivative of c*a**2 - 5*a**6 + t*a**6 - a**2 wrt a?
-360*a**3
Let b(y) = -y - 1. Let k(p) = p. Let x(h) = -3*b(h) - 2*k(h). Differentiate x(n) wrt n.
1
Let v(j) be the first derivative of 0*j**3 - 1/4*j**4 + 5/2*j**2 - 6 + 0*j. Find the second derivative of v(o) wrt o.
-6*o
Suppose 5*z + 45 = -5*y, z - y - 6 = y. Let i = -2 - z. What is the third derivative of -3*f**4 + f**4 - f**2 - f**i wrt f?
-48*f
What is the third derivative of -882*a**3 - 8*a**4 - 13*a**4 - 48*a**2 + 882*a**3 wrt a?
-504*a
Let b be (-5)/(-2) + 1/2. Differentiate 2*x**2 + b - 2 + x**2 with respect to x.
6*x
Let a(b) be the third derivative of -b**4/24 + 2*b**3/3 - 2*b**2. What is the derivative of a(l) wrt l?
-1
Differentiate -10*c**2 - 14*c**2 + 2 + 18*c**2 wrt c.
-12*c
What is the third derivative of -5*z**4 + 13*z**3 + 8*z**2 + 13*z**3 - 26*z**3 wrt z?
-120*z
Let w(j) = 5*j**3 - 2*j**2 - 3*j + 1. Let i be w(4). What is the third derivative of a**2 - 277 + i + 7*a**3 wrt a?
42
Let f be (2/4)/(7/98). What is the first derivative of -14 + z**2 + f*z**2 + 11 wrt z?
16*z
What is the third derivative of -2*s**2 - 3*s**2 + 0*s**2 + 7*s**6 wrt s?
840*s**3
Suppose 0 = 2*y - 7*y + 25. Let n(u) be the first derivative of 0*u + 2/5*u**y + 0*u**3 - 2 - u**2 + 0*u**4. Find the second derivative of n(x) wrt x.
24*x**2
Let z(i) = -6*i + 2*i - 3 - 3*i - i**2. Let q be z(-6). Find the first derivative of 2*x**3 + 4*x**3 - 1 - 3*x**q wrt x.
9*x**2
Let d(z) = -10*z**5 + 7*z**4 - 2*z**2. Let n(j) = -3*j**5 + 2*j**4 - j**2. Let g(w) = 2*d(w) - 7*n(w). Find the third derivative of g(f) wrt f.
60*f**2
Let d(v) = 6*v**3 + 4*v + 9. Let t be (1 + 5)/((-3)/(-2)). Let g(l) = l**3 - l - 1. Let w(m) = t*g(m) + d(m). Differentiate w(s) wrt s.
30*s**2
Let z(v) be the third derivative of -v**8/84 - v**4/8 + 5*v**2. Find the second derivative of z(q) wrt q.
-80*q**3
Let g = 4 - 9. Let f = 0 - g. What is the second derivative of -f*r**3 - 3*r**3 - 2*r + 4*r**3 wrt r?
-24*r
Let j(f) = 0 + 2*f + 0 + 3. Let u be -10 - (-2 - (1 - 1)). Let x(q) = q + 1. Let h(o) = u*x(o) + 3*j(o). Find the first derivative of h(a) wrt a.
-2
Let h(m) be the third derivative of -m**6/20 - 5*m**3/6 - 7*m**2. Find the first derivative of h(r) wrt r.
-18*r**2
Let h(r) = -5*r**4 - 17*r**3 - 24*r**2. Let t(p) = p**4 + 3*p**3 + 4*p**2. Let a(u) = -6*h(u) - 34*t(u). What is the third derivative of a(x) wrt x?
-96*x
Let j(y) be the third derivative of -y**6/40 + y**5/20 + 3*y**2. Find the third derivative of j(h) wrt h.
-18
Suppose -11*i + 16 = -3*i. Let l(y) be the first derivative of 2/3*y**3 + 0*y - i + 3/2*y**2. Find the second derivative of l(t) wrt t.
4
What is the derivative of 4 - 3 - 6 + 11*q - 4 wrt q?
11
Suppose -5*f + 3*g + 1 = 0, -3*f + g - 7 = -5*f. Differentiate 3*r**2 - 1 + 2*r**2 - 2*r**2 - r**f wrt r.
4*r
Let u(k) be the second derivative of 4*k**7/21 + k**4/3 + 8*k. What is the third derivative of u(q) wrt q?
480*q**2
Let n = -1 + 3. Find the third derivative of -r**n - 5*r**4 + r**2 - 3*r**2 wrt r.
-120*r
Let i(d) = -50*d**5 - 6*d**3 - 6*d**2 + 4*d - 21. Let f(s) = -s**5 - s**3 - s**2 - 2. Let h(b) = 6*f(b) - i(b). Find the second derivative of h(w) wrt w.
880*w**3
Let k(u) be the second derivative of -2*u - u**2 + 0 + 1/3*u**3 + 1/24*u**4. Let s(z) be the first derivative of k(z). What is the derivative of s(n) wrt n?
1
Let d(v) = -3*v**4 + 2*v**2 - 3*v. Let o(h) = 12*h**4 - 9*h**2 + 13*h. Let y(m) = -18*d(m) - 4*o(m). What is the second derivative of y(r) wrt r?
72*r**2
Let f(b) be the first derivative of -9*b**4/4 + b**3 - 11. What is the third derivative of f(x) wrt x?
-54
Suppose 2*c - t - 9 = 0, -5 = t - 0. Suppose c*n = -2*n. What is the third derivative of 0 + 6*q**5 + n - 7*q**5 + 3*q**2 wrt q?
-60*q**2
Suppose 4*r + 4*t - 3*t = 26, 0 = 5*t - 10. Find the third derivative of r*m**2 + 0*m**6 + 2*m**6 - 3*m**2 + m**2 wrt m.
240*m**3
Let r(j) be the third derivative of -j**8/560 + j**4/12 + j**3/3 + 3*j**2. Let t(p) be the first derivative of r(p). Differentiate t(u) with respect to u.
-12*u**3
Let s(a) = 3*a - 2. Let x be s(6). Find the second derivative of -21*c + 10*c + x*c - 4*c**4 wrt c.
-48*c**2
Let o(b) be the third derivative of 1/12*b**4 + 0 + 3*b**2 + 0*b + 1/3*b**3. Find the first derivative of o(v) wrt v.
2
Suppose 2*s + s = 5*k - 10, 4*s - 8 = -4*k. Let u(w) = -w**3 - 3*w**2 - 2*w + 1. Let q be u(-2). Differentiate -4 + d**2 - k*d**2 + 4 + q with respect to d.
-2*d
Let g(f) be the second derivative of -13*f**4/6 + 11*f**2/2 