3*k**2 - k + 1. Let q(d) = 50*d**2 - 12*d + 10. Let v(z) = 5*f(z) - q(z). What is the second derivative of v(g) wrt g?
-130
Differentiate -17 - 38 + 3*g + 36754*g**3 + 155*g**4 - 36754*g**3 with respect to g.
620*g**3 + 3
Suppose 0 = t + s - 1, -8 = -5*t - 2*s - 0*s. What is the third derivative of -1988*a**3 - 3*a**4 - 15*a**2 - t*a**4 + 1988*a**3 wrt a?
-120*a
Let q = 62 - 60. Find the second derivative of u**q - 19*u - 2*u**2 - 7*u**5 + u**2 wrt u.
-140*u**3
Let a(y) = -93*y**3 + 30*y**2 + 4*y + 2. Let s(p) = p**3 - p - 1. Let t(j) = a(j) + 2*s(j). Find the third derivative of t(o) wrt o.
-546
Let j(n) = 2687*n**3 + 198*n**2 + 9*n. Let p(x) = -1791*x**3 - 133*x**2 - 6*x. Let o(i) = 5*j(i) + 7*p(i). Find the third derivative of o(w) wrt w.
5388
Let p be (9/(-81)*6)/(4/(-18)). Let k(i) be the first derivative of 9/2*i**2 + 0*i + 10 - 9/4*i**4 + 0*i**p. What is the second derivative of k(r) wrt r?
-54*r
Let j = 28 + -20. Let i(x) = x**2 - 5*x + 6. Let h be i(5). What is the third derivative of -j - 5*z**h - 4*z**2 + 8 wrt z?
-600*z**3
Let q(k) = -k**2 + k + 1. Let o be -1 + 3 - (1 + 1)/2. Let p(w) = -6*w + 11. Let u(x) = o*p(x) + 6*q(x). Find the first derivative of u(t) wrt t.
-12*t
Find the second derivative of 42 - 19*r**5 + 140*r**4 - 3*r - 18*r**5 - 172*r**4 + 27*r**5 + 7*r wrt r.
-200*r**3 - 384*r**2
Suppose -19*j + 8 = -17*j. Suppose j*k + 2 = 2*y, 0*k - 5*k - 10 = -4*y. What is the third derivative of -75*i**2 + i**3 + 71*i**k - 9*i**6 - i**3 wrt i?
-1080*i**3
Let r(f) be the first derivative of 0*f**5 + 0*f**2 + 33 + 0*f**4 + 19/3*f**3 + 0*f - 13/6*f**6. Find the third derivative of r(u) wrt u.
-780*u**2
Let w(m) be the first derivative of m**8/60 - 11*m**4/12 + 4*m**3 + 35. Let t(n) be the third derivative of w(n). What is the first derivative of t(o) wrt o?
112*o**3
Let d(a) = a**2 - 5*a + 1. Let o be d(4). Let z be ((-32)/(-12))/((-2)/o). What is the third derivative of 2*h**4 - 5*h**2 + 4 + z*h**2 - 4 wrt h?
48*h
Let k(m) be the second derivative of -m**6/5 + m**5/4 + 110*m**3/3 + 151*m. What is the second derivative of k(c) wrt c?
-72*c**2 + 30*c
Suppose 5*n - u = 25 - 14, 2*n - 5*u - 9 = 0. Let t = 4 + -1. What is the third derivative of -n*g**2 + 103*g - 7*g**t - 103*g + 4*g**2 wrt g?
-42
Find the third derivative of -2*i - 12*i**4 - 67*i**4 + 20*i**2 + 15*i - 12*i**2 wrt i.
-1896*i
Let f(q) be the second derivative of q**6/5 + 5*q**4/6 - 167*q**3/3 + 353*q. Find the second derivative of f(a) wrt a.
72*a**2 + 20
Suppose 2*g + 0*g = 5*y - 1, -4*g + 13 = 5*y. Suppose -g*z = -0 - 8. Find the first derivative of -9 - p + 0 + z wrt p.
-1
Let r(z) be the second derivative of 25/6*z**4 + 1/6*z**6 - 37*z + 0*z**2 + 1/10*z**5 + 0 + 0*z**3. Find the third derivative of r(y) wrt y.
120*y + 12
What is the second derivative of -11*y**4 - 150*y - 148 + 148 - 104*y + 9*y**2 wrt y?
-132*y**2 + 18
Let c(u) be the third derivative of 41/6*u**3 + 0*u**4 + 0 + 29*u**2 + 0*u + 47/60*u**5. Find the first derivative of c(l) wrt l.
94*l
Let s(d) be the second derivative of -55*d**3/6 + 7*d**2/2 - 7*d. Let z(l) = 83*l - 11. Let j(y) = 8*s(y) + 5*z(y). Differentiate j(o) wrt o.
-25
Let u(z) = -z**3 + z**2 + z. Let s(q) = -q - 2. Let o be s(-7). Let h(p) = -p**3 + 5*p**2 + 5*p + 7. Let r(x) = o*u(x) - h(x). Differentiate r(v) wrt v.
-12*v**2
Let b(d) = 5*d**2 + 26*d + 181. Let u(a) = -7*a**2 - 26*a - 183. Let l(r) = -3*b(r) - 2*u(r). What is the derivative of l(i) wrt i?
-2*i - 26
Let d(x) be the third derivative of 1/28*x**8 + 5*x**2 + 0*x**7 + 0*x + 0*x**5 + 0*x**6 + 0*x**3 - 3/8*x**4 + 0. Find the second derivative of d(w) wrt w.
240*w**3
Let g(a) be the first derivative of 18 + 23/2*a**2 + 20/3*a**3 + 0*a. Find the second derivative of g(q) wrt q.
40
Suppose 6*c - c + d - 38 = 0, -d = -3*c + 18. What is the derivative of -c*u**2 + 0*u**2 + 3*u**2 - 15 wrt u?
-8*u
Find the first derivative of 30 + 47 + 48 - 26*w**4 - 22*w**4 wrt w.
-192*w**3
Suppose -5*u + f = -16, -3*u + f = 6*f - 32. Let w be ((-6)/(-4) - 0)*2. Find the first derivative of -2 - 3*g**3 + g**w + u*g**3 wrt g.
6*g**2
Let s(m) be the first derivative of m**8/840 - 3*m**6/40 + 8*m**3/3 - 10. Let q(i) be the third derivative of s(i). What is the third derivative of q(o) wrt o?
48*o
Let r(q) be the first derivative of -11*q**5/5 + q**2 - 40*q + 12. What is the derivative of r(f) wrt f?
-44*f**3 + 2
Let s(n) be the second derivative of -23*n**6/6 - 213*n**2 + 184*n. What is the derivative of s(q) wrt q?
-460*q**3
Let j(a) = -4*a**2 + a + 5. Let k(x) = -3*x**2 + x + 5. Let u(h) = 2*j(h) - 3*k(h). Let r be u(4). What is the second derivative of -3 - r*l - 5*l**5 + 3 wrt l?
-100*l**3
Let l = -16 + 27. Suppose -u - 5*m = l, -m - 2*m + 7 = 4*u. Find the third derivative of -9*o**2 + 0*o**4 + 11*o + 3*o**u - 11*o wrt o.
72*o
What is the first derivative of -56*r + 5*r**2 - 54*r - 3*r**2 + 403*r - 94 wrt r?
4*r + 293
Suppose 4*j = -0*j - 16. Let i be (16/6)/j*-21. Find the first derivative of 9*f**2 + 19 - i - 4*f**2 wrt f.
10*f
Let x(h) = -2*h + 32. Let q be x(15). Find the first derivative of 12*z - q*z - 5 + 7 wrt z.
10
Let c(q) = -50*q**2 + 5*q + 63. Let f(m) = -25*m**2 + 3*m + 31. Let y = -77 - -72. Let k(a) = y*f(a) + 3*c(a). What is the first derivative of k(u) wrt u?
-50*u
Let u(d) be the second derivative of -29*d**6/6 + d**4/12 - 3*d**3 + 141*d. Find the third derivative of u(j) wrt j.
-3480*j
Let m(q) = -34*q**5 - q**4 + 4*q**2 + 2*q - 58. Let y(f) = f**2 - 1. Let p(j) = m(j) - 4*y(j). What is the second derivative of p(k) wrt k?
-680*k**3 - 12*k**2
Let s(t) = -148*t + 9. Let l(p) = -149*p + 5. Let b(i) = 5*l(i) - 6*s(i). What is the first derivative of b(j) wrt j?
143
Find the second derivative of -35*j**2 + j - 44*j**2 + 81*j**2 + j**3 + 97 wrt j.
6*j + 4
Find the second derivative of 34*l + 1 + 1 - 7*l - 88*l**2 wrt l.
-176
Let t(n) = -2*n**3 - 3*n**2 - 2*n - 3. Let q be t(-2). Suppose u + 3*u = 2*s, s - q*u = -6. What is the derivative of 7 - 2 + 2*y**4 + 2*y**s - 2 wrt y?
16*y**3
Let o(d) be the second derivative of 31/6*d**3 - 12*d + 0 + 39/2*d**2. Differentiate o(z) with respect to z.
31
Let c(x) = x + 4. Let g be c(0). Let t(p) = 3*p - 25. Let r be t(12). Find the second derivative of -3*n - r*n**3 + 26*n**3 - 16*n**3 - g*n wrt n.
-6*n
Let x be (0*1/2)/(-2) - -10. What is the third derivative of x*n**4 - 3*n**2 - 11*n**4 + 5*n**2 - 22*n**4 wrt n?
-552*n
Let v(z) = 3*z**3 + 3*z. Let d(c) = 57*c**3 - 228*c**2 - 27*c. Let m(k) = -d(k) - 9*v(k). Find the third derivative of m(b) wrt b.
-504
Find the third derivative of -3*v**6 + 585*v**2 - 849*v**6 + 321*v**6 wrt v.
-63720*v**3
Let q(w) be the third derivative of -w**5/10 + 7*w**4/24 + 29*w**3/2 - 139*w**2. Differentiate q(x) wrt x.
-12*x + 7
Let t(v) be the third derivative of 0*v + 0*v**4 + 0*v**5 - 2*v**3 - 2/15*v**6 - 16*v**2 + 0. Differentiate t(n) wrt n.
-48*n**2
Let r(l) = 17*l**3 + 6*l. Let q(i) = -i**3 + i. Let f = -14 - -9. Let v(a) = f*q(a) - r(a). Find the second derivative of v(d) wrt d.
-72*d
Suppose j + 2 + 5 = 2*q, 26 = 4*q + 2*j. Suppose n - 6 = -2*z - n, -4*n + 6 = z. What is the second derivative of z*g + g + 1 - q*g**4 - 1 wrt g?
-60*g**2
Let i(c) = 4*c**2 - 4*c - 3. Let x(z) = 7*z**2 - 9*z - 6. Let m = 39 - 30. Let h(y) = m*i(y) - 4*x(y). What is the derivative of h(d) wrt d?
16*d
Let c(w) = 17*w**4 + 5*w**2 + 5*w + 5. Let m(t) = -2*t - 8*t**4 + 0*t**4 - 2*t**2 - 3 - t**4. Let k(q) = -2*c(q) - 5*m(q). What is the derivative of k(g) wrt g?
44*g**3
Let h(g) be the third derivative of 0*g - 9*g**2 + 0 - 1/6*g**4 - 5/3*g**3. Differentiate h(m) with respect to m.
-4
Let f(n) = 5*n + 7. Let x(z) = z + 1. Let p = 5 - 2. Let q = 330 + -331. Let s(h) = p*x(h) + q*f(h). Differentiate s(g) wrt g.
-2
Let u(j) = -176*j**3 + 536*j**2 - 3*j + 3. Let a(p) = -p**3 - p + 1. Let q(g) = -3*a(g) + u(g). Find the third derivative of q(y) wrt y.
-1038
Let r(x) be the first derivative of -17*x**6 - 16*x**3 - 103. What is the third derivative of r(d) wrt d?
-6120*d**2
Let t(a) = 2*a**2 + 19*a - 10. Let i be t(-10). Find the first derivative of p**4 + 5 + i*p**4 + p**4 - 3 wrt p.
8*p**3
Let t(n) = n - 3. Let u be t(4). What is the third derivative of -u - 16*j**2 + 0*j**2 + 20*j**3 + 1 wrt j?
120
Let i(q) be the second derivative of