 - 3. Let s(l) = l**2 + 1. Let v(r) = w*b(r) - 3*s(r). Find the third derivative of v(g) wrt g.
-12
What is the third derivative of -4*m**2 + 15 - 15 + 6*m**4 wrt m?
144*m
Let z be 2 - (0 + 1)*1. What is the first derivative of -4*b**3 + 3*b**2 - 3*b**2 + z wrt b?
-12*b**2
Let r(a) be the second derivative of -7*a**4/12 + 8*a**3/3 + 15*a. What is the second derivative of r(c) wrt c?
-14
Let a = -5 + 7. Find the first derivative of -1 + 0*w**4 + a + 3*w**4 wrt w.
12*w**3
Let r(j) be the third derivative of 7/6*j**3 - 1/70*j**7 - 7*j**2 + 0*j**6 + 0*j + 0 + 0*j**4 + 0*j**5. What is the first derivative of r(q) wrt q?
-12*q**3
Let g(c) = -c**3 - 14*c**2 - 9*c. Let n(y) = 7*y**2 + 4*y. Let k(w) = -4*g(w) - 9*n(w). What is the third derivative of k(x) wrt x?
24
Suppose c + 2*v - 4*v = 3, 5*v = -2*c + 15. What is the derivative of 6 + 4*x**4 - 2 - c*x**4 - 1 wrt x?
-4*x**3
Let c(b) be the third derivative of b**7/105 - 7*b**4/24 - 7*b**2. Find the second derivative of c(x) wrt x.
24*x**2
Let u(z) be the third derivative of 11*z**8/84 + z**5/3 - 28*z**2. Find the third derivative of u(j) wrt j.
2640*j**2
Let m = 4 + -1. Suppose -2*i = m*i - 10. What is the third derivative of -3*a**i + 3*a**3 - a**2 + a**2 wrt a?
18
Let c(s) = s**2 + 9*s + 2. Let f(k) = -2*k + 9. Let u be f(9). Let i be c(u). Find the third derivative of -q**2 + 2*q**i - 3*q**2 + 4*q**2 + 3*q**4 wrt q.
72*q
What is the second derivative of 2*d**2 - 23*d**2 + 3*d**2 - 20*d wrt d?
-36
Suppose 4*i + 39 = t + 4*t, -2*i + 26 = 4*t. Suppose -3*r + 31 = 3*o + 2*o, r = -o + t. What is the derivative of 2 - q**2 - r*q**2 + 2*q**2 wrt q?
-2*q
Let o(b) = 4*b**4 - 3*b**3 - 3*b**2 + 3*b. Let n(q) = -4*q**4 + 2*q**3 + 4*q**2 - 2*q. Let f(a) = 6*n(a) + 4*o(a). What is the third derivative of f(i) wrt i?
-192*i
Let g = 3 + 0. What is the third derivative of 2*b**g + 4*b**2 + 2*b**3 - 8*b**2 - 2*b**3 wrt b?
12
Let u(l) be the second derivative of l**4 - 5*l**3/3 + 10*l. What is the second derivative of u(k) wrt k?
24
What is the first derivative of 144*a**3 - 103*a**3 + 10 - 2 wrt a?
123*a**2
Let r(v) = 4*v**3 + 11*v. Let q(w) = -7*w**3 - 22*w. Let o(z) = 3*q(z) + 5*r(z). Find the second derivative of o(m) wrt m.
-6*m
Let b(i) = 21*i**4 + 14*i**2 - 7*i - 7. Let o(w) = -10*w**4 - 7*w**2 + 3*w + 3. Let c(t) = -3*b(t) - 7*o(t). Find the third derivative of c(z) wrt z.
168*z
Find the third derivative of 7*b**2 - 3*b**4 + 32 + 3*b**2 - 32 wrt b.
-72*b
Suppose 3*w + 2*w = -l + 14, w + 2 = l. Suppose 3*f - l*f + 5 = 0. What is the second derivative of -f*b + 5*b**3 - 4*b**3 + 6*b wrt b?
6*b
Let g(r) = -2*r + 2. Let y be g(-2). Let c = 8 - y. Find the third derivative of 0*m**6 - 2*m**6 + 3*m**2 - 2*m**c wrt m.
-240*m**3
Let j = -9 + -7. Let q = j + 34. What is the first derivative of 18*w - q*w - w**2 - 2 wrt w?
-2*w
Let r(a) = -a**2 - 4*a - 5. Let i be r(-4). Let w = i - -7. Differentiate 2 + 5*s**2 - 3*s**w + 0*s**2 - 6 with respect to s.
4*s
Let h(c) = -5*c + 19. Let f(a) = -8*a + 29. Let m(i) = -5*f(i) + 7*h(i). Find the first derivative of m(j) wrt j.
5
Let h(z) = -11*z**2 + 6*z + 6. Let g(d) be the first derivative of -d**3/3 + d**2/2 + 4. Let t(i) = 6*g(i) - h(i). What is the derivative of t(j) wrt j?
10*j
Let y(f) be the first derivative of -14*f**3/3 - 15*f - 2. Differentiate y(a) with respect to a.
-28*a
Suppose 0*x - x = -6. Let d(l) = -8*l + 1. Let r(t) be the second derivative of 3*t**3/2 - t**2 + 10*t. Let n(m) = x*d(m) + 5*r(m). Differentiate n(u) wrt u.
-3
Let y be 2 - 1 - (-4 + 1 + 0). Let t(z) be the first derivative of 0*z**y - 1 - 3/5*z**5 - 3/2*z**2 + 0*z + 0*z**3. Find the second derivative of t(i) wrt i.
-36*i**2
Find the third derivative of 0*u**2 - 4*u**2 - 3*u**5 + 4*u**5 wrt u.
60*u**2
Let q(t) be the first derivative of 3*t**3 + 0*t**2 + 10 + 0*t - 1/4*t**4. What is the third derivative of q(v) wrt v?
-6
Let f(g) be the first derivative of -27*g**5/5 - 15*g**2 - 15. What is the second derivative of f(k) wrt k?
-324*k**2
Let a(d) = -d**4 + 3*d - 18. Let g(m) = -4*m**4 + 11*m - 72. Let u(v) = 22*a(v) - 6*g(v). Find the first derivative of u(p) wrt p.
8*p**3
Let z(d) = 11*d**2 + 6*d - 3. Let w(a) = 32*a**2 + 17*a - 10. Let o(n) = -6*w(n) + 17*z(n). Differentiate o(q) wrt q.
-10*q
Let g(b) = 3*b**4 + b**2 - 3*b. Let y(l) = 6*l**4 + 3*l**2 - 7*l. Suppose 4*d + 12 = -16. Let f(k) = d*g(k) + 3*y(k). Find the third derivative of f(q) wrt q.
-72*q
Let f(k) = -8*k**3 - 4*k**2 - 5*k + 5. Let v(n) = -8*n**3 - 5*n**2 - 6*n + 6. Let l(m) = -6*f(m) + 5*v(m). What is the third derivative of l(r) wrt r?
48
Let n(d) = -3*d**3 + 5*d**2 + 5*d + 27. Let k(w) = -2*w**3 + 3*w**2 + 3*w + 14. Let c(i) = -5*k(i) + 3*n(i). Differentiate c(f) wrt f.
3*f**2
Let d(z) = 2*z + 1. Let x(p) = -4*p - 1. Suppose -h = -1 - 2, 2*t + 2*h - 16 = 0. Let q(j) = t*d(j) + 2*x(j). What is the first derivative of q(n) wrt n?
2
Let r(t) = -4*t**4 - 3*t**3 - 3*t + 28. Let u(d) = -5*d**4 - 2*d**3 - 2*d + 27. Let f(w) = 2*r(w) - 3*u(w). Differentiate f(g) with respect to g.
28*g**3
Let b(o) = o - 5. Let v be (3/2)/(6/40). Let i be b(v). What is the second derivative of z**5 - 2*z**i - z + 2*z wrt z?
-20*z**3
Let o(s) = -s**2 + 10*s - 14. Let m be o(8). What is the first derivative of 7 + k**m - 3 - 2 + 2*k**2 wrt k?
6*k
Suppose -5*g + 0*g - 5*c + 35 = 0, -2*g = -4*c + 4. Let x be (-10)/g*48/(-30). Find the second derivative of -q**x + q - q**4 - 3*q wrt q.
-24*q**2
Let c(h) be the third derivative of 0 + 0*h**5 + 0*h**4 + 1/30*h**6 - 2/3*h**3 + h**2 + 0*h. Differentiate c(r) with respect to r.
12*r**2
Let n(z) = -z**3 + z**2 + z - 1. Let u(f) = 22*f**4 - f**3 + f**2 - 38*f - 1. Let p(y) = n(y) - u(y). Find the second derivative of p(g) wrt g.
-264*g**2
Let m(n) = -35. Let y(k) = k + 35. Let c(b) = -3*m(b) - 2*y(b). What is the derivative of c(x) wrt x?
-2
Let k(c) = c**2 + 3*c - 3. Let z be k(-4). Let m be z - (-2 + (-2 - -3)). Find the third derivative of y**m - 2*y**5 - 3*y**5 + 2*y**5 + 0*y**5 wrt y.
-180*y**2
Suppose 0 = -j - 0*j + 1. Find the second derivative of 2 - 2*k**2 + 4*k - 1 - j wrt k.
-4
Let i(y) = 63*y**4 + 5*y**3 - 25. Let t(f) = 31*f**4 + 2*f**3 - 13. Let o(z) = 2*i(z) - 5*t(z). Find the first derivative of o(p) wrt p.
-116*p**3
Let w(t) = -t. Let m(j) be the second derivative of j**3/3 - 3*j**2/2 + 6*j. Let a(o) = m(o) - 2*w(o). Differentiate a(g) with respect to g.
4
Let y be (0 - -1) + -5 - -2. Let k be (1 + (-4 - y))*-2. What is the second derivative of 0*b**k + b + b - b**2 wrt b?
-2
Let t(f) = -19*f**2 - 25*f - 4. Let a(d) = -57*d**2 - 75*d - 11. Let p(z) = 4*a(z) - 11*t(z). Find the second derivative of p(k) wrt k.
-38
Find the third derivative of 4*l**5 + 305*l**2 - 282*l**2 - 23*l**5 wrt l.
-1140*l**2
Suppose 2 = 4*r - 2, -3*r - 22 = -5*j. What is the second derivative of 3*w**4 + j + 2*w - 5 wrt w?
36*w**2
Let v(l) be the first derivative of -l**3/3 - 3*l**2 - 4*l + 2. Let r be v(-4). Find the third derivative of i**2 - 3*i**4 + 2*i**r - i**4 wrt i.
-48*i
Let q(z) be the third derivative of 0 - 7*z**2 + 0*z**3 - 5/24*z**4 - 1/20*z**5 + 0*z. Find the second derivative of q(u) wrt u.
-6
Let m(k) = -31*k**4 - 47*k**2 - 5*k - 5. Let x(g) = -31*g**4 - 48*g**2 - 6*g - 6. Let y(p) = -6*m(p) + 5*x(p). Find the third derivative of y(r) wrt r.
744*r
Suppose -5 - 2 = -v + k, -5*k - 14 = 2*v. Let x = v + 0. Find the first derivative of x - 2 + 1 + 4*q - 3*q wrt q.
1
What is the third derivative of -2 - 998*d**2 + 3*d**4 + 1 - 1 + 2*d**3 + 999*d**2 wrt d?
72*d + 12
Let n(y) be the first derivative of 3*y**7/7 - 2*y**3 - 5. Find the third derivative of n(c) wrt c.
360*c**3
Find the third derivative of d**4 + 456*d - 10*d**2 - 456*d wrt d.
24*d
Find the second derivative of 84*l**3 + 21*l - 32*l**3 - 24*l + 4 wrt l.
312*l
Suppose 2*p = 5*p - 18. Differentiate 0*j - p + 3*j + 3 wrt j.
3
Let x(t) = -26*t**4 + 18*t**3 + 2*t**2 + 18*t - 18. Let f(n) = n**4 - n**3 - n + 1. Let b(g) = 36*f(g) + 2*x(g). What is the third derivative of b(j) wrt j?
-384*j
Let m = -3 + 8. Suppose -13 + m = -4*w. What is the third derivative of t**6 + 2*t**2 + 2*t**w - 3*t**2 wrt t?
120*t**3
Let j(z) = z**2 - z + 1. Let g(i) = i**2 + 2*i - 4. Suppose -3*s - 3*n - 1 = 2*s, 5*n = -s + 13. Let t(p) = s*j(p) - g(p). Differentiate t(m) with re