 -b**3 - b + 1. Let k(f) = q*j(f) - 4*u(f). What is the derivative of k(a) wrt a?
-4*a**3
Suppose z - 7 = -3*q, -z - 2 = 5*q - 17. Suppose 0*y + q*y - 32 = 0. Find the second derivative of -y*b**5 + 13*b**5 - 6*b**5 + 3*b wrt b.
-20*b**3
Let p(u) = 189*u**4 - 119*u + 9. Let f(h) = -47*h**4 + 30*h - 2. Let b(w) = 9*f(w) + 2*p(w). What is the second derivative of b(q) wrt q?
-540*q**2
What is the third derivative of -9*t**3 - 6*t**2 + 7*t**2 - 2*t**2 wrt t?
-54
Let z(l) = 61*l**3 + 5*l - 40. Let r(t) = 92*t**3 + 8*t - 60. Let d(x) = 5*r(x) - 8*z(x). Find the first derivative of d(a) wrt a.
-84*a**2
Let r be 2/(-6) + 48/9. Suppose -4*c + 5 = -r*w, -4*w + 32 = 3*c + c. Find the second derivative of w*o - 2*o + o**2 - 3*o**2 wrt o.
-4
Let o(h) be the second derivative of 1/42*h**7 + 0*h**5 - 3*h + 0 + 5/6*h**3 + 0*h**6 + 0*h**4 + 0*h**2. Find the second derivative of o(l) wrt l.
20*l**3
Suppose -3*c + 4 = -2. Let m(v) be the first derivative of 0*v**3 - 1 - 1/2*v**4 - 3*v + 0*v**c. Differentiate m(g) wrt g.
-6*g**2
What is the third derivative of -9*g**4 + 2*g**4 + 0*g**2 - 9*g**2 wrt g?
-168*g
Let x(b) be the third derivative of 0*b**7 + 0*b**3 + 0*b**6 + 0*b - 1/60*b**5 + 0 + 6*b**2 + 3/112*b**8 + 0*b**4. What is the third derivative of x(o) wrt o?
540*o**2
Let m(i) = -10*i**2 - 5*i + 1. Let w be (8 + 0)/(4 + -3). Let h(k) = 15*k**2 + 8*k - 1. Let x(a) = w*m(a) + 5*h(a). Differentiate x(p) wrt p.
-10*p
Let y be 3 - 2/(-4)*-6. Let w(q) be the third derivative of y*q + 0 + 1/30*q**5 + 0*q**4 + q**2 + 1/6*q**3. Differentiate w(t) wrt t.
4*t
Let c = 6 + 4. What is the second derivative of 10*g**4 + 2*g**4 - 7*g**4 - c*g wrt g?
60*g**2
Find the second derivative of 4 - 3*v - 662*v**2 + 639*v**2 - 4 wrt v.
-46
Let d(t) be the second derivative of -t**5/10 + 17*t**3/6 - 15*t. Find the second derivative of d(h) wrt h.
-12*h
Let a(g) be the second derivative of g**8/420 + g**4/12 - 2*g**3/3 + 3*g. Let z(o) be the second derivative of a(o). Find the first derivative of z(n) wrt n.
16*n**3
Let c(l) = 1. Let s(r) = 7*r**2 - 12. Let t(n) = 4*c(n) + s(n). What is the first derivative of t(w) wrt w?
14*w
What is the second derivative of -3*v - 4*v**3 - 6*v**3 + 0*v**3 + 4*v**3 wrt v?
-36*v
Let u(y) = 4*y**4 - 6*y**3 + 6*y**2 - 7*y - 6. Let a(r) = r**4 + r**3 - r**2 + r + 1. Let g(c) = 6*a(c) + u(c). Find the second derivative of g(q) wrt q.
120*q**2
Let p(r) be the third derivative of 0 + 5*r**2 + 0*r**5 + 0*r**3 + 0*r - 1/24*r**4 + 1/20*r**6. Find the second derivative of p(w) wrt w.
36*w
What is the first derivative of -3*z**4 + 26 + 3918*z**2 - 3918*z**2 - z wrt z?
-12*z**3 - 1
Let s(c) = -c**3 + 8*c**2 - 8*c + 8. Let b be s(7). What is the first derivative of -b + 3*l - 2 + 2 + 0 wrt l?
3
Let q(x) be the third derivative of x**8/1344 - x**7/840 - x**4/12 + 5*x**2. Let d(r) be the second derivative of q(r). Find the third derivative of d(s) wrt s.
30
Find the third derivative of 2709*h**2 - 2741*h**2 - 6*h**5 - 13*h**5 wrt h.
-1140*h**2
Let g(d) = 434*d**3 - 161*d**2 - 42*d + 42. Let l(u) = -51*u**3 + 19*u**2 + 5*u - 5. Let k(c) = 5*g(c) + 42*l(c). What is the third derivative of k(h) wrt h?
168
Suppose -u + 2*u - 5 = 0. Find the first derivative of -u*g**2 + 7*g**2 - 6*g**2 - 4 wrt g.
-8*g
Let y(b) be the second derivative of 0 + 1/12*b**4 - 2/21*b**7 + 0*b**6 + 0*b**3 - 4*b + 0*b**5 + 0*b**2. What is the third derivative of y(l) wrt l?
-240*l**2
Suppose -9*a + 13 + 14 = 0. Let i(s) be the second derivative of 3/2*s**2 + 0 + 0*s**4 + a*s + 0*s**3 + 1/5*s**5. Differentiate i(o) with respect to o.
12*o**2
What is the second derivative of -32*a**5 - 12*a + a**5 + 30*a + 0*a**5 wrt a?
-620*a**3
Suppose 0 = -2*w - 4, 4*r = 3*r + w + 4. Let t(m) be the first derivative of r*m - 1/3*m**3 + 0*m**2 - 4. What is the derivative of t(q) wrt q?
-2*q
Let p be 3/1 - (-4)/2. Suppose 19 = c - p*t, 16 = c - 0*c - 4*t. What is the second derivative of -c*r + 6*r + 2*r**4 - 4*r**4 wrt r?
-24*r**2
What is the third derivative of -27*n**2 + 11*n**2 + 8*n**2 + 12*n**2 + 4*n**3 wrt n?
24
Suppose 2*m - 3*l = -2*l + 13, -14 = -3*m - 4*l. Let v = m - 4. What is the third derivative of 2*g**2 - 2*g**2 + 4*g**3 + 2*g**v - 5*g**3 wrt g?
-6
Find the second derivative of c - 27*c + 54*c**5 - 50*c**5 wrt c.
80*c**3
Let m(f) be the first derivative of -3/5*f**5 + 2 + 0*f**3 - 2*f + 0*f**2 + 0*f**4. What is the derivative of m(h) wrt h?
-12*h**3
Let n(b) = -b + 58. Let t be n(0). Differentiate t*k - 58*k - 2*k**4 - 5 wrt k.
-8*k**3
Let s(p) = 4*p - 13. Let i be s(4). What is the second derivative of 25*y**3 - y - 16*y**i + 0*y wrt y?
54*y
Suppose -5*u + 8 = -2. What is the third derivative of 14*q**6 - 3*q**5 + 3*q**5 - u*q**2 - 16*q**6 wrt q?
-240*q**3
Let d(s) = -s**4 + s**3 - s**2 - s. Let j(v) = -34*v**4 + 3*v**3 + 27*v**2 - 3*v. Let l(q) = 3*d(q) - j(q). Find the third derivative of l(a) wrt a.
744*a
Let t(r) = -r - 1. Let n(u) = 2*u**2 - 2*u - 1. Let q = 7 - 6. Let a(c) = q*n(c) - t(c). What is the second derivative of a(p) wrt p?
4
Let r(b) be the second derivative of -1/15*b**6 + 0*b**5 + 4*b + 0*b**2 - 1/6*b**3 + 0*b**4 + 0. What is the second derivative of r(j) wrt j?
-24*j**2
Let o = -3 + 5. Suppose -y - 10 = -o*y. What is the second derivative of 3*i - i + 11*i**4 - y*i**4 wrt i?
12*i**2
Let l(z) = -9*z - 1. Let k(d) = d - 1. Let g(f) = 2*k(f) + l(f). Differentiate g(i) with respect to i.
-7
Let n(g) be the third derivative of -7*g**5/30 + 2*g**4/3 - 12*g**2 - 3. What is the second derivative of n(q) wrt q?
-28
Let n(x) be the first derivative of -14*x**5/5 + 11*x**2/2 + 1. What is the second derivative of n(p) wrt p?
-168*p**2
Let j(p) be the first derivative of -p**6/6 - p**4/12 + 7*p - 3. Let o(r) be the first derivative of j(r). Find the third derivative of o(a) wrt a.
-120*a
Let i(d) be the third derivative of d**7/210 + 5*d**3/6 - d**2. Find the first derivative of i(x) wrt x.
4*x**3
Let n(v) be the second derivative of -v**7/84 - 3*v**4/8 + 5*v**3/3 + 7*v. Let p(d) be the second derivative of n(d). Find the first derivative of p(o) wrt o.
-30*o**2
Let g(j) be the second derivative of j**4/6 - j**3/3 + 5*j. Find the second derivative of g(t) wrt t.
4
Let b(h) = h**2 - 3*h - 1. Let j be b(4). Suppose -2*l + j = -9. What is the third derivative of 2*k**2 - k**6 + 0*k**l - 2 + 2 wrt k?
-120*k**3
Let v(p) = p**2 + p. Let o(m) = m**3 - 2*m**2 + m. Let g(x) = o(x) + 2*v(x). Find the second derivative of g(q) wrt q.
6*q
Differentiate -124*c + 146*c - 70*c - 59 wrt c.
-48
Let i(n) be the first derivative of n**2/2 + n - 4. Let t = -8 + 6. Let x(v) = 6*v + 8. Let j(k) = t*x(k) + 14*i(k). Differentiate j(y) with respect to y.
2
Find the third derivative of -4*f**2 - 4*f**6 - 4*f**2 - 11 + 11 wrt f.
-480*f**3
Let i(t) be the second derivative of -1/24*t**4 + 0 + t**2 - 2*t - 1/3*t**3. Let r(l) be the first derivative of i(l). Differentiate r(c) wrt c.
-1
Let b = 12 + -8. Suppose -4 = -b*l + 8. What is the third derivative of 0*i**2 + l*i**4 - 4*i**4 - i**2 wrt i?
-24*i
Suppose -5*p + 34 + 45 = 3*h, 3*h - 85 = p. Let v be 1/(-3) + h/12. What is the second derivative of a - 2*a**4 + v*a - a wrt a?
-24*a**2
Let q(y) be the second derivative of y**9/15120 - y**7/2520 - y**4/6 + y. Let u(n) be the third derivative of q(n). What is the third derivative of u(r) wrt r?
24*r
Suppose 0*q + 20 = 5*q. What is the second derivative of 6*v - q*v + 7*v**4 - 9*v**4 wrt v?
-24*v**2
Suppose -j + 0 = q + 1, 0 = 4*j - 2*q - 20. Suppose -j*z - 6 + 1 = -4*t, -2*t = z - 5. Find the third derivative of -2*h**5 + 11 - t*h**2 - 11 wrt h.
-120*h**2
Let t(j) = j**4 - j**2. Let d(o) be the third derivative of o**5/15 - o**4/24 - 2*o**2. Let z(i) = -d(i) - 4*t(i). What is the second derivative of z(m) wrt m?
-48*m**2
Let h(p) = 21*p**3 - 1. Let x be h(1). Suppose -2*w = 2*w - 2*n - 2, x = 5*w + n. What is the second derivative of 3*t - w*t - t**2 - t wrt t?
-2
Let x(u) = 6*u**4 + 6*u**3 - 36*u**2. Let z(w) = 11*w**4 + 12*w**3 - 71*w**2. Let s(a) = 5*x(a) - 3*z(a). Find the third derivative of s(c) wrt c.
-72*c - 36
What is the derivative of 0 + 326*m**2 + 3 - 312*m**2 wrt m?
28*m
Let k be (-2)/(-9) - (-210)/27. Let y = k - 5. Find the second derivative of 0*h + y*h**2 + h - 2*h**2 wrt h.
2
Let j(z) = -9*z**4 