3 + 0*i**4 + i - i**2 + 1/20*i**5. Find the first derivative of x(g) wrt g.
3*g**2
Let c(v) = 7*v + 2. Let a be -2 + -10*(-1)/(-2). Let n(b) = 15*b + 5. Let r(t) = a*c(t) + 3*n(t). Differentiate r(f) wrt f.
-4
Let c be (1 - 0)/1 - -3. Find the second derivative of p - 3*p + p**c - p**4 + 2*p**4 wrt p.
24*p**2
Suppose -4*x - 5*w + 2 = 0, x - 4*w = -2*x + 17. What is the second derivative of -2*q - 2*q - 2*q**3 - 2*q**x + 2*q wrt q?
-24*q
Let b(m) be the second derivative of 0 - 4*m - 5/6*m**3 - 1/2*m**2. Differentiate b(w) with respect to w.
-5
Let b be (20/(-35))/((-2)/7). What is the second derivative of -2*r**b - 4*r + 3*r**2 + 0*r**2 - 5*r**2 wrt r?
-8
Let w(n) = -n**4 + 11*n**2 + 16*n + 11. Let v(l) = 4*l**2 + 5*l + 4. Let b(j) = 11*v(j) - 4*w(j). Find the second derivative of b(y) wrt y.
48*y**2
Let t be (-4)/((-36)/15)*3. Suppose 0 = -5*j - y + 13, -t*y = -5*j - 3 - 2. Differentiate j*v - 6*v + 4*v + 3 + 3*v**2 with respect to v.
6*v
Let l(q) be the second derivative of -2*q**5/5 - 5*q**4/12 + 4*q. Find the third derivative of l(s) wrt s.
-48
Let i(g) = -1. Let p(d) = -2*d + 6. Let q = 1 - 0. Let w(b) = q*p(b) + 3*i(b). Differentiate w(k) with respect to k.
-2
Suppose -3*w + 4 = 2*d, d = 3*w + 2*w - 11. What is the second derivative of 2*c - 7*c**5 - w*c - 6*c wrt c?
-140*c**3
What is the second derivative of 7*w**2 - 9*w**2 + 1 - 4*w - 1 wrt w?
-4
Let u(m) be the third derivative of 0*m**6 + 0*m**3 + 0*m + 0 - 1/15*m**5 - 1/210*m**7 - 4*m**2 + 0*m**4. Find the third derivative of u(h) wrt h.
-24*h
Let g(w) = 4*w**2 - 6*w**2 + w**2 - 8*w**2 - 8*w. Let r(p) = 19*p**2 + 17*p. Let z(t) = -13*g(t) - 6*r(t). Find the second derivative of z(l) wrt l.
6
Suppose 5*b + 13 - 3 = 0. Let d(j) = -j**3 + 3*j + 1. Let x be d(b). What is the second derivative of -6 - x*v**2 + 6 + v wrt v?
-6
Let l(d) be the second derivative of d**3 + 23*d**2/2 - d. What is the derivative of l(a) wrt a?
6
Let g(k) be the third derivative of -1/70*k**7 + 0*k + 0*k**3 + 0*k**6 + 0 + 0*k**4 - 1/30*k**5 - 4*k**2. Find the third derivative of g(p) wrt p.
-72*p
Let r(v) be the third derivative of -3*v**7/70 - v**4/6 - 9*v**2. What is the second derivative of r(k) wrt k?
-108*k**2
Let q(i) be the second derivative of -2/15*i**6 + 0*i**3 + 0*i**5 + 0 + 3*i**2 - 2*i + 0*i**4. Differentiate q(z) with respect to z.
-16*z**3
Let k(x) = -x**2 + x + 1. Let w(q) = 12*q**3 - 8*q**2 + 2*q + 2. Let p(u) = 2*k(u) - w(u). Find the third derivative of p(o) wrt o.
-72
Let d(r) = -25*r**2 + 4. Let n(j) = 24*j**2 - 5. Let h(a) = -3*d(a) - 2*n(a). Differentiate h(z) wrt z.
54*z
Let x be (0 - 2)/((-20)/30). Find the second derivative of -i**x + i**3 + 2*i**3 - 3*i + 0*i**3 wrt i.
12*i
Let k be 2/(-10) + 21/5. Let q(x) = -2*x + 4. Let u be q(0). Find the third derivative of 2*r**2 - k*r**2 + u*r**2 - 4*r**4 + 8*r**4 wrt r.
96*r
What is the third derivative of 4 - 162*u**3 - 59*u**6 + 4*u**2 + 162*u**3 wrt u?
-7080*u**3
Let d(q) = -1. Let m(c) = -c + 3. Suppose -3*i + 7 = 3*h + 2*i, 4*i - 11 = 3*h. Let a(j) = h*d(j) - m(j). What is the derivative of a(z) wrt z?
1
Let a(k) = -k**3 + k**2 + 1. Let u(s) = 14*s**3 - 10*s**2 + 3. Let p(o) = -3*a(o) + u(o). What is the third derivative of p(j) wrt j?
102
Let l(t) = -t**3 - 4*t**2. Let x be (-5)/(-10)*4/1. Let q(b) = 3*b**2. Let d(o) = x*l(o) + 3*q(o). What is the third derivative of d(a) wrt a?
-12
Let c = 4 + -1. Suppose -4*t + 33 = -c. What is the third derivative of -t*a + 9*a - 2*a**2 + a**3 wrt a?
6
Let n(g) be the third derivative of g**8/5040 + g**6/360 + g**5/12 - 2*g**2. Let w(s) be the third derivative of n(s). Find the first derivative of w(t) wrt t.
8*t
Find the second derivative of -2 - 762*f + 759*f + 2 - 2*f**5 wrt f.
-40*f**3
Let r(u) = -8*u**3 + 12*u**2 + 5*u - 5. Let k(z) = z**3 - z**2 - z + 1. Let v(n) = 5*k(n) + r(n). What is the third derivative of v(q) wrt q?
-18
Let k(b) be the first derivative of -9/2*b**2 + 0*b - 3 + 0*b**4 + 0*b**3 - 6/5*b**5. What is the second derivative of k(q) wrt q?
-72*q**2
Let m(z) = -z**2 - 1. Let y(j) = -j**2 + j**2 + 0 - 1 - 3*j**2. Let h(u) = -5*m(u) + y(u). What is the first derivative of h(w) wrt w?
4*w
Let h(r) be the second derivative of r**3/6 - 3*r**2/2 - 4*r. What is the derivative of h(k) wrt k?
1
Let z(n) = n**2 + 2 - 3*n**2 + 3*n**2. Let v be z(0). What is the derivative of -r - 1 - v + 1 wrt r?
-1
Let o(r) = r. Let s(q) be the second derivative of 3*q**3/2 + 2*q**2 - q. Let p(x) = -6*o(x) + s(x). What is the derivative of p(i) wrt i?
3
Let o(l) be the first derivative of -l**6/6 - 13*l**2/2 - 23. Find the second derivative of o(j) wrt j.
-20*j**3
Find the second derivative of -13*x - 6*x + 403*x**5 - 382*x**5 wrt x.
420*x**3
Find the second derivative of -66 + 66 + 4*u + 4*u**4 wrt u.
48*u**2
Let v(r) = r**2 - r - 4. Let n be v(3). What is the third derivative of -u**2 - 4*u**4 + 5*u**4 - n*u**2 wrt u?
24*u
Let q(g) be the first derivative of 24*g**7/7 - g**3 - 21. What is the third derivative of q(z) wrt z?
2880*z**3
Let a(l) be the second derivative of l**9/2520 - l**7/2520 - l**4/2 + 8*l. Let d(w) be the third derivative of a(w). What is the third derivative of d(k) wrt k?
144*k
Suppose -4*f - 18 = -2*z, -2*f = 4*z + 2*f. Let u(p) = 4*p - 1. Let m(k) = -6*k + 0*k + k. Let t(q) = z*u(q) + 2*m(q). Find the first derivative of t(d) wrt d.
2
Let u(x) be the second derivative of x**6/30 + 7*x**4/12 - 10*x. What is the third derivative of u(k) wrt k?
24*k
Let g be 20/50*(2 + 3). Differentiate 6*w**3 - 1 - 9 + g with respect to w.
18*w**2
Let m(p) = p**3 + p**2 - p + 1. Let s(k) = 9*k**4 - 6*k**3 - 23*k**2 + 6*k - 6. Let a(b) = -6*m(b) - s(b). Find the third derivative of a(t) wrt t.
-216*t
Differentiate -3*m + m + 141 - 143 + 32*m with respect to m.
30
Suppose 5*x - 2*x = 15. What is the second derivative of 6*p**3 + p**3 - 2*p - 2*p**3 + x*p wrt p?
30*p
Let v(d) be the third derivative of -d**8/20160 - d**6/720 - d**5/20 - d**2. Let t(q) be the third derivative of v(q). What is the derivative of t(i) wrt i?
-2*i
Let l(j) be the third derivative of 1/8*j**4 + 0*j + 0 + 1/60*j**5 + 0*j**3 + 3*j**2. What is the second derivative of l(b) wrt b?
2
Suppose -24 + 5 = -2*q + 3*j, j = -5. Suppose 0 = 2*y + 3*y - 10. Find the third derivative of z**2 - 3*z**y - 5*z**q - z**6 + 4*z**2 wrt z.
-120*z**3
Let q be (1 + -4)*(-8)/6. Suppose 3*d - 2*n = -2, 0 = -3*d - 0*n + n + 2. Find the second derivative of -7*o**4 + d*o**5 + 2*o + 7*o**q wrt o.
40*o**3
Find the third derivative of -6*b**2 - 14*b + 8*b**4 + 14*b wrt b.
192*b
Suppose 2*h - 5*o - 20 = -3*o, h + o = 2. Let i be 1*h + (1 - 1). What is the second derivative of 3*p**2 + i*p - 2*p**2 - 4*p wrt p?
2
Let h(i) = -2*i**4 - 5*i**2 - 4*i. Let u(t) = -t**2 - t. Let y(f) = -h(f) + 4*u(f). What is the third derivative of y(x) wrt x?
48*x
Let p(q) be the second derivative of -8*q**6/15 + 25*q**2/2 + 10*q. Differentiate p(w) with respect to w.
-64*w**3
Let i(d) be the third derivative of -d**9/168 - d**5/12 + 6*d**2. What is the third derivative of i(b) wrt b?
-360*b**3
Let j(p) = 9*p**4 + 7*p**3 - p - 7. Let f(g) = -5*g**4 - 4*g**3 + 4. Let s(u) = -7*f(u) - 4*j(u). Find the second derivative of s(z) wrt z.
-12*z**2
Suppose -2*n = -0*n - 4. Let s be 4*1*1/n. What is the third derivative of -3*y**3 - s*y**5 + y**2 + 3*y**3 wrt y?
-120*y**2
Let h(c) = -6*c + 4 - 1 + 0 - 2*c**2. Let a(l) = l**2 + l - 1. Let u = 0 + 1. Let b(n) = u*h(n) + 6*a(n). What is the first derivative of b(q) wrt q?
8*q
Let n(r) = -15*r + 22. Let w(k) = k + 1. Let z(o) = -n(o) + 2*w(o). Differentiate z(d) wrt d.
17
Let z(v) be the second derivative of 7*v + 0*v**4 + 3/2*v**2 + 0 + 1/10*v**6 + 0*v**3 + 0*v**5. What is the derivative of z(d) wrt d?
12*d**3
Let q(y) = 10*y**3 + y**3 + 11*y**4 - 2*y**4 - 17. Let h(z) = -5*z**4 - 6*z**3 + 9. Let o(i) = 11*h(i) + 6*q(i). Differentiate o(m) with respect to m.
-4*m**3
Let h(b) = 28*b**3 + 5*b**2 + 4. Let p(g) = -42*g**3 - 8*g**2 - 6. Let j(a) = -8*h(a) - 5*p(a). What is the derivative of j(d) wrt d?
-42*d**2
Suppose 4*z + 8 = -4*v, -4*z + 4 = -2*v - 30. Let o be (1 - -1) + v + 10. What is the third derivative of -2*r**6 + o*r**6 - 2*r**6 - r**2 wrt r?
120*r**3
Differentiate -6*y**3 + 2*y**3 - y**3 + 9 - 1 with respect to y.
-15*y**2
Let m(s