t
Find the second derivative of 2*i**2 + 3*i**2 + 8*i - 8*i**2 + 2*i**2 wrt i.
-2
Let k(v) = 7*v**4 - 4*v**3 - 10*v**2 - 4*v - 4. Let t(g) = -g**4 + g**3 + g + 1. Let z(h) = k(h) + 4*t(h). Find the third derivative of z(l) wrt l.
72*l
Let j(s) = -s**5 - 7*s**3 - 2*s + 7. Let d(u) = -2*u**3 - u + 2. Suppose -c + 0 = 2. Let a(o) = c*j(o) + 7*d(o). What is the second derivative of a(z) wrt z?
40*z**3
Let n(g) be the second derivative of -g**8/28 + 5*g**4/6 + 13*g. What is the third derivative of n(j) wrt j?
-240*j**3
Let r(d) = 36*d + 13. Let j(l) = -12*l - 5. Let k(u) = 11*j(u) + 4*r(u). What is the first derivative of k(n) wrt n?
12
Let o(k) be the first derivative of -k**4/2 + 3*k**2/2 - 1. What is the second derivative of o(j) wrt j?
-12*j
Let d(o) be the second derivative of o**5/40 + o**4/8 - o**3/6 + o. Let q(z) be the second derivative of d(z). Find the first derivative of q(h) wrt h.
3
Let y(r) = 5*r - 63. Let z(u) = -3*u + 31. Let x(s) = 4*y(s) + 10*z(s). Differentiate x(f) wrt f.
-10
Suppose -3 + 6 = 3*y. Let r(z) = 1. Let s(i) = i - 1. Let x(f) = y*r(f) + 2*s(f). What is the first derivative of x(w) wrt w?
2
Let s = 117 + -117. Let g(a) be the third derivative of s*a + 0*a**5 + 3*a**2 + 0 + 0*a**4 - 1/60*a**6 + 1/6*a**3. What is the derivative of g(q) wrt q?
-6*q**2
Let h = 0 + 6. Let f = -4 + h. Find the second derivative of -4*p**5 - 3*p + 2*p**3 - f*p**3 + p**5 wrt p.
-60*p**3
Let x(q) = q**2 + q. Let r(g) = 10*g**2 + 12*g. Suppose -32 = 4*k + 56. Let y(h) = k*x(h) + 2*r(h). What is the second derivative of y(o) wrt o?
-4
Let v(b) be the second derivative of -41*b**6/30 - 2*b**3 - 9*b. Find the second derivative of v(h) wrt h.
-492*h**2
Let c(m) = 10*m**2 + 18*m. Let x(a) = -3*a**2 - 6*a. Let r(z) = 5*z. Let b be r(-1). Let u(v) = b*c(v) - 14*x(v). Find the second derivative of u(d) wrt d.
-16
Suppose 0 = 5*f - 7 - 3. Let r = 0 + f. Find the first derivative of -1 + 2 + w**2 + 3*w**2 - r wrt w.
8*w
Let q(c) be the third derivative of -c**6/40 + c**5/15 - 3*c**2. Let r(t) = t**3 - 2*t**2. Let y(j) = -2*q(j) - 5*r(j). Find the third derivative of y(f) wrt f.
6
Let n(g) = -g**3 + 7*g**2 + g - 3. Let c be (12/8)/((-3)/(-14)). Let r be n(c). Differentiate s**r - 2 + 0 + 1 with respect to s.
4*s**3
Let f(z) = z**3 + 2*z**2. Let w be f(-2). Suppose -2*b + 3*b - 2 = w. What is the third derivative of 2*r**2 + r**6 + b*r**6 - 5*r**6 wrt r?
-240*r**3
Let g(a) = -5. Let p(q) = -q**2 - 4. Let d be ((-1)/(-2))/((-4)/(-24)). Let h(v) = d*p(v) - 2*g(v). Differentiate h(s) with respect to s.
-6*s
Let g(b) = b**4 - b**3 - b**2 + b - 1. Let m(k) = -2*k**4 + 4*k**3 - 13*k**2 - 4*k + 4. Let s(q) = -4*g(q) - m(q). What is the third derivative of s(p) wrt p?
-48*p
Let r be 6/(-33) - (-2059)/11. Differentiate -187*i + i**2 + 2 + r*i with respect to i.
2*i
Let p(l) = -55*l**2 + 65*l - 11. Let r(q) = 18*q**2 - 22*q + 4. Let m(i) = 4*p(i) + 11*r(i). Find the second derivative of m(o) wrt o.
-44
Let t be 2/((3/1)/6). Suppose -2*m + 8 = -s - s, -3*m - 5*s = t. What is the second derivative of -4*f - f**m + 5*f + 3*f**2 wrt f?
4
Let r(z) be the second derivative of 23*z**4/12 + 7*z**3/2 + 29*z. Find the second derivative of r(c) wrt c.
46
Let n(o) be the third derivative of 0*o + 0*o**3 - o**2 + 1/8*o**4 + 1/210*o**7 + 0*o**6 + 0 + 0*o**5. Find the second derivative of n(v) wrt v.
12*v**2
Let p(x) be the first derivative of x**5/4 + x**3/2 + 5*x + 5. Let t(r) be the first derivative of p(r). What is the second derivative of t(h) wrt h?
30*h
Suppose 3*t - 7*t - h = 28, -2*h + 8 = 0. Let o be (t/(-6) + -2)*-3. Find the third derivative of w**6 - w**o + 4*w**6 - 4*w**6 wrt w.
120*w**3
Find the third derivative of -144*p**2 - 19*p**4 + 146*p**2 + 2 - 2 wrt p.
-456*p
Let v(b) be the first derivative of -b**6/120 + b**4/24 + 3*b**2/2 - 1. Let w(n) be the second derivative of v(n). What is the second derivative of w(r) wrt r?
-6*r
Let h = -2 - -6. Let z(w) be the first derivative of -w**2 - 2 + 0*w + 0*w**3 + 1/4*w**h. Find the second derivative of z(p) wrt p.
6*p
Find the second derivative of -2*q - 4*q - 5*q + 9*q**2 + 5*q wrt q.
18
Let i(r) = -1. Let l = 14 - 15. Let t(o) = -2*o**4 + 7*o + 5. Let p(n) = l*t(n) - 5*i(n). What is the second derivative of p(y) wrt y?
24*y**2
Let j(t) = -t**2 - 9. Let b(h) be the second derivative of -2*h**2 + 3*h. Let m(y) = -5*b(y) + 3*j(y). Differentiate m(i) with respect to i.
-6*i
Let t be ((-5)/2)/((-3)/6). Suppose 14 = -0*z + 5*z + s, t*z - 26 = -4*s. Differentiate -2*i**z - 2 + 2*i**2 + 2*i**2 wrt i.
4*i
Let o(d) = -d**3 - 3*d**2 - 3*d - 2. Let k be o(-2). Let p be 1*(0 - 1) + 3. Find the third derivative of m**2 + k*m**p - 3*m**2 + m**3 wrt m.
6
Let p(z) be the third derivative of -19*z**4/8 + 41*z**3/6 - 6*z**2. Differentiate p(h) wrt h.
-57
Let m = -11 + 13. Differentiate -2*s**2 - s**2 - 2*s**m + 5 wrt s.
-10*s
Let w(b) = -98*b**2 + 2*b + 27. Let k(t) = 49*t**2 - t - 14. Let n(y) = -7*k(y) - 3*w(y). Find the second derivative of n(g) wrt g.
-98
Let h(p) be the third derivative of p**7/2520 + p**6/240 + p**5/60 + 3*p**2. Let b(k) be the third derivative of h(k). What is the derivative of b(x) wrt x?
2
Let h(b) = 11*b**2 + 5*b - 7. Let n(j) = 17*j**2 + 8*j - 11. Let d = 0 - 8. Let p(g) = d*h(g) + 5*n(g). Differentiate p(s) with respect to s.
-6*s
Let v be (-3 - (-2 + -2))*0 - 0. Let y(d) be the third derivative of 1/3*d**3 + 0 + v*d**5 + 0*d**4 - 3*d**2 + 0*d + 1/40*d**6. Differentiate y(z) wrt z.
9*z**2
Let w(g) be the first derivative of 0*g**3 + 2/3*g**6 + 0*g + 0*g**5 + 5/2*g**2 + 0*g**4 - 1. Find the second derivative of w(t) wrt t.
80*t**3
Find the second derivative of -b + 11*b**3 + 6634*b**2 + 38 - 6634*b**2 wrt b.
66*b
Let s(p) be the third derivative of -p**6/8 + 2*p**3/3 + 7*p**2. Differentiate s(t) with respect to t.
-45*t**2
Let p(y) be the second derivative of -20*y**7/21 + 7*y**3/2 - 5*y - 3. Find the second derivative of p(v) wrt v.
-800*v**3
Let m(k) = -6*k**3 - k**2 + k + 1. Let j be m(-1). Differentiate j + 6*h + 0*h - h + 0*h wrt h.
5
Suppose -n = -2*r, -3*r - 3 = -0*r - 3*n. Let f be 0*(r - 0)/(-1). Find the second derivative of 0*u + f*u + u + 3*u**2 - 2*u wrt u.
6
Let i(q) = q**3 - q**2 + q + 1. Let g(b) = -13*b**4 - 2*b**3 + 2*b**2 - 12*b - 2. Let v(h) = g(h) + 2*i(h). What is the second derivative of v(z) wrt z?
-156*z**2
Let m = 43 - 40. Let r(j) be the second derivative of -2*j + 0*j**4 + 1/2*j**2 + 0 + 1/10*j**5 + 0*j**m. Find the first derivative of r(x) wrt x.
6*x**2
Let j(v) be the second derivative of 2*v**4/3 + 3*v**3/2 - 14*v. What is the second derivative of j(p) wrt p?
16
Differentiate 3*o**3 + 10 + 7*o**2 - 4*o**2 - 3*o**2 with respect to o.
9*o**2
Let f(d) be the third derivative of -1/30*d**5 + 0*d**4 + 0*d**3 + 0*d**7 + 0*d + 0*d**6 + 3*d**2 + 1/112*d**8 + 0. Find the third derivative of f(u) wrt u.
180*u**2
Suppose -d + 40 = 4*d. Suppose 2 = -2*i + d. What is the second derivative of u**2 + 5*u + 3*u**2 - i*u - 3*u wrt u?
8
Let z be 3/(-7) - (-80)/105. Let m(u) be the third derivative of -z*u**3 + 0 + 0*u + 1/24*u**4 + u**2. Find the first derivative of m(n) wrt n.
1
Let o(l) = -15*l**3 + 21*l**2 + 9*l. Let x(f) = 3*f**3 - 4*f**2 - 2*f. Let k(s) = 4*o(s) + 21*x(s). Find the second derivative of k(b) wrt b.
18*b
Let h(v) = v**3 - v - 1. Let p(a) = -20*a**3 - 5*a + 4. Let m(j) = 5*h(j) - p(j). Find the first derivative of m(g) wrt g.
75*g**2
Let l be (-6)/9*18/(-12). What is the second derivative of 5*y**2 - 2*y**2 + 1 - l - y wrt y?
6
Let p be (-11)/(-3) + 2/(-3). Let z(d) = -d**3 - d**2 - 1. Let q be z(-2). Find the third derivative of s**q - 15*s**2 + 0*s**p + 12*s**2 wrt s.
6
Let w(s) be the third derivative of 0*s**4 + 0 - 1/2*s**3 + 0*s - 7/60*s**5 + 8*s**2. Differentiate w(q) with respect to q.
-14*q
Let i(y) = 9*y**3 + y**2 + 6. Let n(d) = -10*d**3 - d**2 - 7. Suppose 2*l = 7*l - 30. Let w(m) = l*n(m) + 7*i(m). Find the third derivative of w(o) wrt o.
18
Let j(x) be the second derivative of x**8/336 - x**6/120 - x**3/3 + 10*x. Let v(w) be the second derivative of j(w). Find the third derivative of v(k) wrt k.
120*k
Let w(l) be the third derivative of 6*l**2 - 1/3*l**4 + 0*l**5 + 0*l**3 + 0 + 0*l**7 + 0*l + 1/168*l**8 + 0*l**6. What is the second derivative of w(i) wrt i?
40