 10. Find the first derivative of -2*g + 0 + r + g wrt g.
-1
Suppose -3*n = c + 9, n = -3*c + 5 - 0. What is the derivative of 3 - o**3 - 2*o**3 - 6 - 2*o**c wrt o?
-15*o**2
Let k(s) = -77*s**2 + 21*s - 56. Let i(b) = -7*b**2 + 2*b - 5. Let z(g) = 56*i(g) - 5*k(g). Find the second derivative of z(v) wrt v.
-14
Let x(i) = -4*i**4 + 5*i**2 - 2*i + 2. Let j(s) = -4*s**4 + 5*s**2 - 3*s + 3. Let r(c) = -2*j(c) + 3*x(c). What is the third derivative of r(v) wrt v?
-96*v
Let b(r) = -31*r**4 + 11*r**3 + 19*r - 11. Let g(p) = -16*p**4 + 6*p**3 + 10*p - 6. Let x(y) = -6*b(y) + 11*g(y). Find the second derivative of x(t) wrt t.
120*t**2
Suppose 0 = -2*q - 6 + 22. Suppose 10 = 4*g - 2*m, -2*g = -g - 4*m + q. What is the second derivative of -3*c**g + c**4 + 3*c**4 - 2*c wrt c?
12*c**2
Let i(h) = -38*h - 1. Let u(g) = -38*g + 1. Let m(j) = 3*i(j) - 4*u(j). What is the derivative of m(p) wrt p?
38
What is the first derivative of -27 + 174*a - 174*a - 32*a**2 + 95*a**2 wrt a?
126*a
Suppose -2*p - 4 - 22 = -4*o, -15 = 3*p. Find the second derivative of -3*j + 6*j**o - 4*j**4 + 5*j wrt j.
24*j**2
Let l(h) be the second derivative of 1/24*h**4 - h - 1/3*h**3 + 0 + h**2. Let r(z) be the first derivative of l(z). Find the first derivative of r(c) wrt c.
1
Let s be (6/7)/(3/21). Let q = 10 - s. What is the first derivative of u + 2*u + 1 - q*u wrt u?
-1
Let k(h) = 4*h + 5*h**4 - h**2 - 5*h**2 - h + 2*h**2. Let u(p) = -4*p**4 + 3*p**2 - 2*p. Let o(j) = 2*k(j) + 3*u(j). What is the third derivative of o(r) wrt r?
-48*r
Suppose 0 = -3*y - 2*l + 18, -5*y - l + 7 = -16. Let h = 42 - 39. What is the second derivative of -h*z + y*z + 3*z**3 - 3*z + 0*z**3 wrt z?
18*z
Let n(l) = -6*l**4 + 6*l**2 + 18. Let v(g) = -5*g**4 + 7*g**2 + 18. Let r(u) = 7*n(u) - 6*v(u). Find the first derivative of r(o) wrt o.
-48*o**3
Let t(d) = -32*d**5 - 6*d**4 + 6*d**2 - 32*d - 6. Let o(l) = -l**5 + l**4 - l**2 - l + 1. Let c(b) = 6*o(b) + t(b). What is the second derivative of c(r) wrt r?
-760*r**3
Let k(u) = -u - 7. Let s be k(-9). What is the third derivative of -3*x**4 + 5 - 5 - 4*x**s + x**2 wrt x?
-72*x
Let o(h) be the second derivative of -9*h**5/20 - 2*h**3 - 12*h. What is the second derivative of o(y) wrt y?
-54*y
What is the second derivative of -23 - 27 + a + a + 14*a**3 + 12*a**3 wrt a?
156*a
Find the third derivative of 40*o**2 - 39*o**6 - 12*o**2 + 58*o**6 wrt o.
2280*o**3
Let z(i) be the first derivative of 7*i**6/6 + i**5/5 + 8*i**3 + 39. What is the third derivative of z(d) wrt d?
420*d**2 + 24*d
Let m(t) be the second derivative of -6*t**7/7 - 5*t**3 + 3*t. What is the second derivative of m(y) wrt y?
-720*y**3
Find the third derivative of -12*b**2 + 6*b**6 + 5*b**2 + 6*b**2 wrt b.
720*b**3
Let p(o) be the first derivative of -7*o**4/4 - 5*o**2/2 - 3. Find the second derivative of p(b) wrt b.
-42*b
Suppose -2*z = k + 8, -4*k + 33 = -3*z - 2*z. What is the third derivative of -3*d**2 - 3*d**k + d**3 + 2*d**3 - 5*d**3 wrt d?
-12
Let k(q) be the first derivative of -4*q**3/3 - 3*q**2 - 4*q + 7. Let j(i) be the first derivative of k(i). Differentiate j(y) wrt y.
-8
Let g(i) = 11*i**2 - 60*i + 10. Let q(h) = 10*h**2 - 61*h + 12. Let p(b) = 6*g(b) - 5*q(b). What is the second derivative of p(y) wrt y?
32
Let y(l) = 1. Let p(c) = 2. Let q(a) = 3*p(a) - 7*y(a). Let b(f) = -4*f. Let u(h) = 2*b(h) - 2*q(h). Find the first derivative of u(x) wrt x.
-8
Let v(j) be the first derivative of j**3/3 - 6*j + 7. Find the first derivative of v(h) wrt h.
2*h
Let s(l) be the second derivative of -l**4/12 + 5*l**3/6 - 2*l. Let x be s(4). Find the second derivative of p**4 - p + p**x + 3*p wrt p.
24*p**2
Suppose -30 = -3*x - 2*x. Let h(b) = b**2 - 5*b - 1. Let u be h(x). Find the third derivative of -3*v**2 + v**u + 2*v**2 + 3*v**2 wrt v.
60*v**2
Let w = -7 - -12. Let j(g) be the first derivative of -3*g**4 + w*g**4 + 2*g - 3 - 3*g**4. Find the first derivative of j(h) wrt h.
-12*h**2
Let d(x) be the second derivative of -x**6/120 - x**3/2 - 2*x**2 + x. Let p(v) be the first derivative of d(v). What is the derivative of p(t) wrt t?
-3*t**2
Let j(l) be the second derivative of -1/2*l**3 + 3/2*l**2 - 3*l + 0. Differentiate j(x) with respect to x.
-3
Let i(n) be the first derivative of 9*n**4/4 - 4*n**3/3 + 1. Find the third derivative of i(u) wrt u.
54
Let j(b) be the second derivative of 1/6*b**4 + 0*b**3 + 1/2*b**2 + 0 + 2*b. What is the first derivative of j(i) wrt i?
4*i
Suppose r + 2*r = -o + 7, 2*r - 2 = 0. What is the third derivative of 2*x**3 - 2*x + o*x**3 - x**2 + 2*x wrt x?
36
Suppose 4*m - a = -24, 0 = 2*m + m - a + 19. Let b be m*(-2 - -1) - 3. Find the second derivative of k**2 - 3*k**2 + 0*k - b*k wrt k.
-4
Let v(k) be the second derivative of 0*k**6 + 1/6*k**4 - 6*k + 2/21*k**7 + 0*k**2 + 0*k**5 + 0*k**3 + 0. Find the third derivative of v(g) wrt g.
240*g**2
What is the second derivative of -10*n + 16*n**5 + 408*n**4 - 408*n**4 wrt n?
320*n**3
Let i(k) be the second derivative of 0 + 0*k**4 + 0*k**3 + 2/15*k**6 + 0*k**5 - 2*k**2 - k. What is the first derivative of i(d) wrt d?
16*d**3
What is the second derivative of 4*r**2 + 2*r - 10*r**2 + 3*r + 9*r wrt r?
-12
What is the third derivative of -5*w**2 + 7*w**2 + 3*w**2 + 4*w**3 wrt w?
24
Suppose -d - 4*y + 4 = 0, -6*y + 2*y = 3*d - 4. Suppose d = 3*n - 0*n - 12. Differentiate 2 - 5 - 7*t**4 + 4*t**n with respect to t.
-12*t**3
Let d(l) = -l. Let o(v) = -6*v - 1. Let x(m) = m + 1. Let p be x(-2). Let a(n) = -n - 2. Let t be a(p). Let h(r) = t*o(r) + 4*d(r). Differentiate h(k) wrt k.
2
Let m(q) be the first derivative of q**7/280 + q**5/24 - q**3/3 - 1. Let f(y) be the third derivative of m(y). What is the second derivative of f(j) wrt j?
18*j
Let g(l) be the third derivative of 0*l - 1/40*l**6 + 3*l**2 + 0*l**3 - 1/24*l**4 + 0*l**5 + 0. Find the second derivative of g(s) wrt s.
-18*s
Let l(m) = 9*m**2 + 8. Let b(h) = 3*h**2 + 3. Let j(x) = -7*b(x) + 2*l(x). What is the derivative of j(n) wrt n?
-6*n
Differentiate 2*y + 4*y - 14*y - 8 wrt y.
-8
Let k(w) be the first derivative of w**4/12 + w**3/6 - w**2 - 1. Let j(d) be the second derivative of k(d). What is the derivative of j(u) wrt u?
2
Let c(d) be the third derivative of -d**3/6 - 5*d**2. Let p(h) = 2*h - 6. Let s = 13 - 8. Let m(y) = s*c(y) - p(y). What is the derivative of m(r) wrt r?
-2
Find the first derivative of 5 - 38*y**4 + 3*y**3 + 39*y**4 - 3*y**3 wrt y.
4*y**3
Let n(b) be the first derivative of 0*b**4 - 7*b + 3 + 0*b**2 + 0*b**3 - 1/5*b**5. What is the derivative of n(s) wrt s?
-4*s**3
Let a(y) be the third derivative of 0*y**3 + 0 + 0*y**7 - 1/8*y**4 + 0*y + 0*y**6 - 1/336*y**8 + 3*y**2 + 0*y**5. Find the second derivative of a(x) wrt x.
-20*x**3
Let g(c) = c**2 - 5*c - 7. Let t be g(6). Let y be (-2)/(-1) - (t - -1). What is the first derivative of 0 + y*s + 2 + s wrt s?
3
Suppose 4*n = 2*n. Let x(q) be the first derivative of -3*q - 1/3*q**3 - 1 + n*q**2. Differentiate x(k) with respect to k.
-2*k
Find the third derivative of 7*w**3 - 6*w**2 - w**6 - 7*w**3 + 0*w**6 wrt w.
-120*w**3
Let x be (2 - (-12)/(-5))*-5. What is the first derivative of -x + 3 - 3*p**2 + 1 wrt p?
-6*p
What is the second derivative of -5*v**3 + 7*v**3 + 8*v + 0*v + 10*v**3 wrt v?
72*v
Let x(t) be the second derivative of 5*t**4/3 + t**3/6 - t**2 + 2*t + 1. What is the second derivative of x(k) wrt k?
40
Suppose 0*a = 3*a - 12. Suppose y + a*g = 12, 5*y + 3*g = 7*y - 2. Find the third derivative of 3*v**3 - v**3 - y*v**3 + v**2 wrt v.
-12
Suppose 2*r = 5*a - 2, 4*a - 6 = -r + 3*a. Find the second derivative of 3*c + 0 + 0 + 0*c**4 - c**r wrt c.
-12*c**2
Let w(n) = -16*n**5 - 4*n**2 - 6*n. Let z(g) = -33*g**5 - 8*g**2 - 11*g. Let b(q) = 11*w(q) - 6*z(q). What is the third derivative of b(c) wrt c?
1320*c**2
Let i(r) = 2*r**4 - 10*r**3 - 10*r - 232. Let q(n) = -n**4 + 3*n**3 + 3*n + 77. Let s(v) = 3*i(v) + 10*q(v). What is the first derivative of s(l) wrt l?
-16*l**3
Suppose 9*q - 3*q = -2*q. Let s(r) be the first derivative of 2 + 1/2*r**4 + 0*r**2 - 4/3*r**3 + q*r. What is the third derivative of s(a) wrt a?
12
Let k be (-4)/(-3)*(-63)/(-14). What is the third derivative of v - k*v**2 + 6*v**3 - 3*v + 2*v wrt v?
36
Let j(f) be the second derivative of -2*f**6/5 + f**3/2 + 30*f. Find the sec