*u**5 - u wrt u.
-180*u**3
Let c = -15 + 19. Let u(s) be the third derivative of 0*s - 1/12*s**c + 0*s**3 - 1/30*s**5 - s**2 + 0. What is the second derivative of u(r) wrt r?
-4
Let k(g) be the first derivative of 13*g**5/5 - 10*g - 2. Find the first derivative of k(b) wrt b.
52*b**3
Suppose -3*b - 6 = -4*b. Find the second derivative of 13*q - b*q**2 + 10*q - 19*q wrt q.
-12
Let k(x) be the second derivative of -x**3/3 - 2*x**2 - 6*x. What is the first derivative of k(w) wrt w?
-2
Suppose 3*t + 5*p - 20 + 4 = 0, -3*p + 14 = 4*t. Suppose 0 = -3*f + t*f + 2. Find the second derivative of j**2 + 3*j**f - 2*j**2 - 2*j wrt j.
4
What is the derivative of -6 + 16*t + 2 + 11 + 10 wrt t?
16
Let f(n) be the first derivative of n**4 + 17*n - 22. Find the first derivative of f(q) wrt q.
12*q**2
Suppose -4 = -10*y + 6. Let h(i) be the first derivative of y + 0*i + 1/3*i**3 + 0*i**2 - 1/4*i**4. What is the third derivative of h(p) wrt p?
-6
Suppose 0 = -2*j - 0*j + 4. Find the second derivative of 15*x + 0*x**2 - 3*x**4 - 8*x + 0*x**j wrt x.
-36*x**2
Let n(k) = 8*k - 4. Let x(z) = 1 + 7 - 1 - 4*z - 11*z. Let g(t) = -5*n(t) - 3*x(t). What is the first derivative of g(r) wrt r?
5
Let a(k) = k + 8. Let p be a(-6). Suppose -2*f = 3*t - 16, 4*t + f - 2 = 11. Find the second derivative of z**2 - t*z**4 + z - z**p wrt z.
-24*z**2
Let q(u) be the third derivative of u**5/5 + 8*u**3/3 - 37*u**2. What is the first derivative of q(m) wrt m?
24*m
Let b be -1 + (-3 + 1)/(-1). Let t = b + 1. What is the second derivative of t*v**3 + 3*v + 2*v - 3*v wrt v?
12*v
Let u(l) be the third derivative of -l**6/60 - l**5/15 + l**3/3 - l**2. Let h(g) be the first derivative of u(g). Find the second derivative of h(t) wrt t.
-12
Find the second derivative of -6*i**4 - 18*i**4 - 17*i - 16*i**4 - 9*i**4 wrt i.
-588*i**2
Let v(z) = -6*z**4 + 2*z**2 + 5*z - 5. Let s(p) = -3*p**2 + 0 + 2 - 6*p + 4 + 7*p**4. Let d(a) = 5*s(a) + 6*v(a). What is the third derivative of d(j) wrt j?
-24*j
Let r(d) = -10*d**5 + d**3 - 9*d**2. Let b(u) = u**5 - u**3 + u**2. Let j(h) = -b(h) - r(h). Find the third derivative of j(q) wrt q.
540*q**2
Suppose -4*y - y = -10. Find the third derivative of u**4 - 3*u**2 + 0*u**2 + 0*u**4 - y*u**4 wrt u.
-24*u
Suppose m - 1 - 2 = 2*a, 5*a = m - 3. Find the third derivative of 2*i**4 - 2*i**2 + 5*i**m - 2*i**2 - 5*i**3 wrt i.
48*i
Let h = 8 - 5. Differentiate 0 + 4*i**h - 4 + 0 with respect to i.
12*i**2
What is the third derivative of -7*r**2 - 6*r**3 - 141 + 141 wrt r?
-36
Let c(s) be the first derivative of 36*s**7/7 - 2*s**3 + s + 23. What is the third derivative of c(g) wrt g?
4320*g**3
Suppose -2*l + 7*l = 15, 2*c + 2*l = 28. Let p = -7 + c. Differentiate -k**4 - 2 + 5*k**p - 3*k**4 wrt k.
4*k**3
Let z(u) = -5*u**4 - 6*u**3 + 3*u. Let m(l) = 4*l**4 + 5*l**3 - 2*l. Let h(i) = -6*m(i) - 5*z(i). What is the second derivative of h(s) wrt s?
12*s**2
Differentiate 43 + 37 + 16*a**3 - 35 wrt a.
48*a**2
Let p(j) be the third derivative of -j**7/35 + 5*j**3/6 + 5*j**2. Differentiate p(v) with respect to v.
-24*v**3
Let z be 6*-1 + (-1 - -2). Let p = -3 - z. Differentiate 1 + p + r - 5 wrt r.
1
Let h(f) be the second derivative of -41*f**3/6 + 8*f**2 - 15*f. Differentiate h(v) wrt v.
-41
Let g(p) = -20*p**3 - 50*p**2 + 5*p + 5. Let j(h) = 20*h**3 + 51*h**2 - 6*h - 6. Let w(r) = 6*g(r) + 5*j(r). Find the third derivative of w(a) wrt a.
-120
What is the derivative of -65 + b**3 - 84 + b + 192 wrt b?
3*b**2 + 1
Let u(f) be the first derivative of f**6/3 + f**3/3 + 1. What is the third derivative of u(l) wrt l?
120*l**2
Let r = 19 + -14. Let b(j) be the first derivative of -1 - 1/3*j**6 + 0*j**3 + 0*j**r + j**2 + 0*j + 0*j**4. What is the second derivative of b(s) wrt s?
-40*s**3
Let i be 2/(-7) + (-30)/(-7). Find the first derivative of -7*q**4 + 3*q**4 - i + 2 wrt q.
-16*q**3
Let s(k) = 30*k**3 - 3*k**2 - 26. Let f(c) = 60*c**3 - 5*c**2 - 51. Let n(o) = -3*f(o) + 5*s(o). Differentiate n(v) with respect to v.
-90*v**2
Let t(s) = -s**2 - s - 1. Let o(y) = -3*y**2 + 4*y + 3. Let g(z) = -o(z) - 4*t(z). Find the first derivative of g(x) wrt x.
14*x
Let g = -6 + 12. Differentiate -5*y - 12 + g + 3 wrt y.
-5
Let y(t) be the second derivative of -t**6/5 - t**4/12 + 9*t. What is the third derivative of y(a) wrt a?
-144*a
Suppose -f - 4 = -3*f. Suppose -2*x = -4*h, -x = 3*h - f*x - 2. Differentiate 4*y**4 - 2*y**2 - 1 + 2*y**h with respect to y.
16*y**3
Suppose 3*m + 2 - 11 = 0. What is the second derivative of -b - m*b + b + 3*b**4 wrt b?
36*b**2
Let i(m) = -m**2 - 7*m - 4. Let s be i(-6). Suppose 0 = 3*h + 3*n + 3, -4*n - 4 = s*h. What is the second derivative of -2*k - 3*k**2 + h*k + 5*k - 2*k wrt k?
-6
Let p(b) = 4*b**4 - 3*b + b - 2*b**2 - 4 - 2*b**2 - 3*b. Let z(c) = -c**4 - c**2 - 1. Let y(k) = p(k) - 4*z(k). Find the second derivative of y(f) wrt f.
96*f**2
Let i(y) = -y**2. Let v be i(2). Let r(w) = w + 4. Let c be r(v). What is the second derivative of 4*d - d**5 + c*d**5 - 2*d wrt d?
-20*d**3
Let o(v) = 2 + 7 - 10. Let a(d) = 6*d. Let z(k) = a(k) - 3*o(k). Find the first derivative of z(h) wrt h.
6
Let a = 6 + -4. Suppose -3*j + 4*v - 10 = 0, -j - 3*v + 10 = -2*j. Differentiate 3*s**2 - j*s**a + 1 + 0 wrt s.
2*s
Let p(d) = -d**3 - d. Let o(t) = 2*t**3 + 10*t. Let w(u) = o(u) + 4*p(u). What is the second derivative of w(j) wrt j?
-12*j
Suppose -k + 2*r + 23 = -3*r, 5*k - 5*r = 35. Find the first derivative of -4*h**3 - h**3 + 0*h + 0*h + k wrt h.
-15*h**2
What is the first derivative of 167 + 200 - 35*b**2 - b - 321 wrt b?
-70*b - 1
Let x(a) be the third derivative of a**4/24 + 7*a**3/6 + a**2. Let h be x(-5). What is the third derivative of -q**4 + 3*q**2 + 0*q**2 - h*q**2 wrt q?
-24*q
Let l be (-1 - (-1)/(-1)) + 15. Suppose -k - 5*r - l = 2*k, -2*k + 3*r + 23 = 0. What is the second derivative of 0*j**4 - 2*j - 2*j**4 + j**k wrt j?
-12*j**2
Let l = 4 - 4. Let x(t) be the first derivative of 0*t**5 + 1/2*t**6 + 0*t**4 - 2/3*t**3 + l*t**2 + 0*t + 1. Find the third derivative of x(h) wrt h.
180*h**2
Let w(t) = -t**2 + 5*t + 3. Let x be w(5). What is the third derivative of -8*g**x + g**2 - 2*g**2 + 8*g**3 - 2*g**4 wrt g?
-48*g
Let b(t) be the second derivative of 0*t**5 + 0*t**2 - 1/7*t**7 + 1/3*t**3 + 0*t**6 + 0 + 2*t + 0*t**4. What is the second derivative of b(v) wrt v?
-120*v**3
Let c(f) be the first derivative of 1/6*f**3 + 1 - 3*f + f**2. Let a(v) be the first derivative of c(v). Differentiate a(o) with respect to o.
1
Let s(g) = 2*g - 4. Let r(p) = 4*p - 2 - 6*p**2 + 5*p**2 - 3 - p. Let t(m) = 2*r(m) - 3*s(m). What is the derivative of t(x) wrt x?
-4*x
Find the second derivative of -6*x**2 - 14*x + 18*x - 7*x**2 wrt x.
-26
Let n(d) be the third derivative of -5*d**9/72 + 3*d**5/20 + d**2. Find the third derivative of n(g) wrt g.
-4200*g**3
Find the third derivative of 7*q**3 - 5*q**2 + 10*q**3 + 18*q**2 - 3*q**3 wrt q.
84
Let f(m) be the first derivative of -5*m**5 + 11*m**2 + 17. What is the second derivative of f(n) wrt n?
-300*n**2
Let t(g) = -3*g**2 - 5 - 3*g - g**3 - 3*g**2 - 5*g. Let d be t(-5). Differentiate -10*l - 3*l**4 - 1 + d*l wrt l.
-12*l**3
Let j(s) be the first derivative of 7*s**5/5 - 3*s**2 - 2. What is the second derivative of j(w) wrt w?
84*w**2
Suppose 3 = 2*u - 1. What is the third derivative of 6*s**2 + 3*s**3 + 0*s**2 - 4*s**u - 4*s**2 wrt s?
18
Let k = -3 - -17. Differentiate -2*f - 3 - k*f**2 + 2*f + 13*f**2 with respect to f.
-2*f
Let o = 0 + 5. Find the second derivative of -4*j**5 + j**5 + 2*j + 0*j**o + 3*j wrt j.
-60*j**3
Suppose 5*t - 22 = -d, -2*t - 2*t + 20 = 2*d. Find the third derivative of -3*q**4 + 2*q**4 - 3*q**2 - q**4 + 4*q**d wrt q.
-48*q
What is the first derivative of 17 + 34*q**4 + q**4 - 71 wrt q?
140*q**3
Suppose 0*o + 4 = 2*o. Let r(p) = -p**2. Let b(x) = 5*x**2 + 9*x. Let q(t) = o*r(t) - b(t). What is the second derivative of q(h) wrt h?
-14
Let s = -20 + 41/2. Let k(l) be the first derivative of 3 + s*l**2 + 0*l**3 + 1/2*l**4 + 0*l. What is the second derivative of k(n) wrt n?
12*n
Let i(k) be the third derivative of k**10/50400 - k**6/180 - k**5/30 - 4*k**2. Let o(f) be the third derivative of i(f). Differentiate o(a) with respect to a.
12*a**3
Let q = -187/4 - -47. Let s(l) be the second derivative of 0*l**2 + q*