4 - 4. What is the second derivative of l*i - i - i**2 + 3*i**2 wrt i?
4
Suppose 3*y + 2*n - 1 = 0, -y + 3 = -4*y - 3*n. Differentiate -5*m**y + 8*m**3 + 2*m**3 - 1 wrt m.
15*m**2
Let v(m) be the first derivative of 1/2*m**2 + 8 + 8*m. Differentiate v(k) wrt k.
1
Let m be 4/(-2) - 0 - -6. Suppose 1 + 11 = m*p. Find the second derivative of -3 - y**4 + y + p wrt y.
-12*y**2
Let u(f) = -9*f. Let l(o) = 17*o. Let r(d) = 6*l(d) + 11*u(d). Let q be r(2). What is the third derivative of -p**2 + p**3 + p**2 + 4*p**2 - q*p**2 wrt p?
6
Let n(z) = -15*z**3 - 6*z**2 - 44. Let i(m) = -m**3 - m**2 + 1. Let c(g) = -6*i(g) + n(g). What is the derivative of c(b) wrt b?
-27*b**2
Let c(o) be the third derivative of -2*o**7/105 - o**5/10 - 4*o**2. What is the third derivative of c(l) wrt l?
-96*l
Let p(m) be the first derivative of m**5/5 + 7*m**2 - 20. What is the second derivative of p(s) wrt s?
12*s**2
Let x(d) be the third derivative of -5*d**7/42 + 10*d**3/3 + 5*d**2. Differentiate x(i) with respect to i.
-100*i**3
Let c(p) = -4*p**3 + 4*p**2 + 6*p. Let n(w) be the first derivative of w**2/2 + 1. Let k(a) = -c(a) + 6*n(a). What is the third derivative of k(y) wrt y?
24
Let j = -29 + 31. Let c(w) be the third derivative of 0*w**6 + 0 + 0*w + 0*w**5 + 1/210*w**7 + 1/3*w**3 - w**j + 0*w**4. Differentiate c(q) with respect to q.
4*q**3
Differentiate -9*h**3 - 1 + 33*h**3 - 5 wrt h.
72*h**2
Let b(s) = -s + 1. Let f be b(-5). Let z = f + -4. Differentiate z*g**3 - 3 + 2*g**2 - 2*g**2 wrt g.
6*g**2
Let d(u) = -5*u + 9. Let q(n) = -5*n + 9. Let b(j) = 3*d(j) - 2*q(j). What is the derivative of b(c) wrt c?
-5
Let d = 44 - 24. Suppose -8 = -t + 5*p + 12, d = -5*t - 5*p. Find the first derivative of t + 3 - 2*x + 0 wrt x.
-2
What is the first derivative of -7*l**2 - 1 - 2*l**3 - 2*l**3 + 7*l**2 wrt l?
-12*l**2
Let p(a) be the second derivative of a**5/60 + a**3/2 - a**2 + 3*a. Let d(u) be the first derivative of p(u). Differentiate d(w) with respect to w.
2*w
Suppose 5*c = 3*k + 7, -k - k + 6 = 2*c. Find the second derivative of c*l**5 - 9*l**3 + 9*l**3 + 2*l + 2*l wrt l.
40*l**3
Let l(g) be the third derivative of -7*g**6/40 + 8*g**3/3 - 17*g**2. What is the derivative of l(i) wrt i?
-63*i**2
Let c(i) be the second derivative of -i**5/60 + i**3/2 + 2*i**2 - i. Let u(t) be the first derivative of c(t). Find the first derivative of u(z) wrt z.
-2*z
Let q(l) be the third derivative of l**7/420 - l**6/90 + 5*l**3/6 + 5*l**2. Let n(v) be the first derivative of q(v). Find the third derivative of n(u) wrt u.
12
Suppose 0 = -4*n + 52 + 16. What is the second derivative of -3 + 3 - n*l**4 - 6*l + 11*l**4 wrt l?
-72*l**2
Suppose -2*y - 2*i = -6, -y + 3*i = -9 - 2. Let m(k) = 11*k**2 + 5*k - 16. Let g(d) = -16*d**2 - 7*d + 24. Let j(t) = y*g(t) + 7*m(t). Differentiate j(b) wrt b.
-6*b
Let m(i) be the third derivative of -7*i**6/60 - i**5/6 - i**2. What is the third derivative of m(h) wrt h?
-84
Let b(a) = -a**2 - a + 1. Let c(j) = 6*j**2 - 2*j + 9. Let i(z) = 2*b(z) - c(z). Differentiate i(d) wrt d.
-16*d
Let j(n) = -11*n**5 + 5*n**2 - 18*n + 5. Let r(z) = 10*z**5 - 6*z**2 + 19*z - 6. Let i(v) = 6*j(v) + 5*r(v). What is the second derivative of i(l) wrt l?
-320*l**3
Let o(q) = -15*q**3 - 14*q**2. Let d(k) = -k**3 + k**2. Let w(s) = -3*d(s) - o(s). What is the third derivative of w(j) wrt j?
108
Suppose -3*s = -2*s - 4*g + 12, 0 = s - g. Find the second derivative of -14*j + 2*j**s - 5*j**4 + 15*j wrt j.
-36*j**2
Let g(x) = 29*x**2 + 3*x - 30. Let h(j) = -58*j**2 - 5*j + 60. Let v(z) = -5*g(z) - 3*h(z). Differentiate v(l) with respect to l.
58*l
Let z(l) = -29*l**3 + 16*l. Let o(i) = -i. Let p(m) = -4*o(m) - z(m). Find the second derivative of p(n) wrt n.
174*n
Differentiate -2*a - a - 3*a + 2*a + 2*a**3 - 56 with respect to a.
6*a**2 - 4
Let j(i) = 5*i**2 + i - 1. Let l be j(1). Find the first derivative of -l*v**3 + 5*v**3 - 2*v**4 + 1 wrt v.
-8*v**3
Let z be 6/21 - 104/(-28). What is the third derivative of -t**2 + t**2 + t**2 - t**z + 2*t**4 wrt t?
24*t
Let o = 18 - 13. What is the second derivative of 5*c**3 - o*c**3 + 2*c - 4*c**3 - 4*c wrt c?
-24*c
Differentiate 3 + 0*u + 2*u - u + u with respect to u.
2
Let d(p) = p**3 + 5*p - 2. Let o(t) = t**3 + 6*t - 3. Let w = -1 - 1. Let a(c) = w*o(c) + 3*d(c). What is the second derivative of a(s) wrt s?
6*s
Let b(c) be the third derivative of c**9/504 + 9*c**7/70 - 21*c**5/20 + c**2 - 10. Find the third derivative of b(m) wrt m.
120*m**3 + 648*m
Let k(j) = -67*j + 39*j + 7*j**3 + 9*j**3. Let u(t) = 4*t**3 - 7*t. Let i(o) = -2*k(o) + 9*u(o). Find the second derivative of i(r) wrt r.
24*r
Suppose -6*c = 2*i - 2*c - 48, -i + 34 = 4*c. Suppose -5*z = -20, 2*l + 2*z - i = 3*z. What is the derivative of 4 + 10*o**3 - l*o**3 - 2 wrt o?
3*o**2
Let c = -3 + 5. Find the third derivative of -3*z**c + 0*z**5 - 2*z**5 + 0*z**2 - 2*z**5 wrt z.
-240*z**2
Suppose 4 = 3*q - 2*q. Let k(p) = -p - 3. Let i be k(-6). What is the second derivative of -3 + x + i - 5*x**4 + 2*x**q wrt x?
-36*x**2
What is the third derivative of 41*g**2 + 0*g**5 + 5*g**5 + 37*g - 37*g wrt g?
300*g**2
Let m = -139 + 139. Let l(h) be the second derivative of h + m*h**2 + 0*h**3 - 1/5*h**5 + 1/3*h**4 + 0. What is the third derivative of l(t) wrt t?
-24
Let x(k) be the second derivative of 0*k**4 - 1/10*k**6 + 0 + 5/2*k**2 + 0*k**5 + 0*k**3 - 3*k. What is the first derivative of x(c) wrt c?
-12*c**3
Let m be ((-1)/2)/((-2)/60). Suppose -4*r = -7*r + m. Find the third derivative of -3*s**5 - s**2 + 2*s**2 + s**r wrt s.
-120*s**2
Let w(p) = p**3 + 2*p**2 - 3*p. Let d be w(-3). Suppose d = -5*r + 8 + 12. Differentiate -1 + j**4 + 2 - r - 1 wrt j.
4*j**3
Let k(d) be the first derivative of -4*d**2 - 4*d + 5*d + 6*d**2 - 3. Differentiate k(a) with respect to a.
4
Let j(z) be the second derivative of 0*z**3 - 9/56*z**8 + 0 + 0*z**7 + 8*z + 0*z**6 + 0*z**2 + 0*z**5 + 5/6*z**4. Find the third derivative of j(k) wrt k.
-1080*k**3
Let p(d) be the second derivative of 0*d**3 - 2*d - 1/4*d**4 + 0 + 3*d**2. What is the first derivative of p(w) wrt w?
-6*w
Let h be 10/3 + 2/3. Differentiate -3 + 0*r**4 + 2*r**4 + r**h wrt r.
12*r**3
Let q(p) = -p**2 + 1. Let c(z) = -7. Suppose 0 = 4*n, -3*b - 2*n = 2*n + 6. Let t(h) = b*q(h) - c(h). Differentiate t(x) with respect to x.
4*x
Let l(g) be the third derivative of g**6/15 + 7*g**3/3 - 2*g**2. Differentiate l(h) with respect to h.
24*h**2
Let u(z) be the second derivative of -z + 0 + 5/3*z**3 + 2*z**2. Differentiate u(k) wrt k.
10
Suppose 0 = c - 5*i - 25, 4 = 8*i - 9*i. Let a(x) be the third derivative of -1/3*x**3 + 0 - 1/20*x**c + 0*x + x**2 + 0*x**4. Differentiate a(o) wrt o.
-6*o
Let z(v) be the first derivative of -7*v**4/4 - 4*v + 8. Differentiate z(l) wrt l.
-21*l**2
Let d(v) be the third derivative of -v**6/24 + 3*v**4/8 + 11*v**2. What is the second derivative of d(a) wrt a?
-30*a
Find the third derivative of -53*t**2 + 11*t**2 - 25*t**6 - 5*t**2 - 14*t**2 wrt t.
-3000*t**3
Suppose -5*z - 1 = -46. Differentiate -110*c - z + 110*c - 8*c**2 with respect to c.
-16*c
Let n(k) be the third derivative of -1/60*k**5 + 0*k**4 + 1/3*k**3 + 0 - 3*k**2 + 0*k. Differentiate n(t) wrt t.
-2*t
Let t(j) be the second derivative of 0*j**2 + 0 + 3*j + 0*j**3 - 1/10*j**5 - 1/4*j**4. Find the third derivative of t(h) wrt h.
-12
Let c(r) = -r**2 - 7*r + 8. Let i be c(-8). Suppose i = -3*s + s. Find the third derivative of 12*m**2 - 15*m**2 - 2*m**5 + 0 + s wrt m.
-120*m**2
Suppose -3 = 2*l + 5*n - 4, 4*n = -4. Find the third derivative of -i**l + 4*i**2 - 5*i**2 + 2*i**2 + 3*i**3 wrt i.
12
Let k(l) = -25*l - 27. Let t(p) = 13*p + 14. Let v(s) = -3*k(s) - 5*t(s). What is the derivative of v(b) wrt b?
10
Let i(w) = -20*w**4 + 8*w**3 - 6*w - 8. Let s(t) = -7*t**4 + 3*t**3 - 2*t - 3. Let l(n) = -3*i(n) + 8*s(n). What is the second derivative of l(u) wrt u?
48*u**2
Suppose -p - 9 = 2*p. Let j = 6 + p. Find the third derivative of -l**3 + 2*l**2 + l**j + l**6 + l**2 wrt l.
120*l**3
Let q(x) = x**4 - x**3 - x**2 + x - 1. Let j(f) = -47*f**4 - 4*f**3 - 7*f**2 + 4*f - 7. Let m(o) = j(o) - 4*q(o). Find the third derivative of m(i) wrt i.
-1224*i
What is the second derivative of -d**2 + 23*d**2 + 6*d + 5*d**2 + 18*d wrt d?
54
Let l(o) be the second derivative o