 3*j**2. Let n(p) be the first derivative of g(p). Find the third derivative of n(w) wrt w.
240*w**3
Find the third derivative of 3*s**2 - 2*s**4 + 0*s**4 + 17*s**4 - 6*s**4 wrt s.
216*s
What is the third derivative of -33*d**3 + 21*d**2 + 7*d**2 + d**3 wrt d?
-192
Let i(j) = 7*j**4 + 5*j**3 + 5*j + 2. Let c(x) = -7*x**4 - 6*x**3 - 6*x - 2. Let l(q) = -5*c(q) - 6*i(q). What is the first derivative of l(k) wrt k?
-28*k**3
Let f(l) be the second derivative of -13*l**4/12 + 10*l**3/3 - 33*l. What is the second derivative of f(y) wrt y?
-26
Let i(k) be the first derivative of 8*k**3/3 - 3*k**2/2 + 11. Find the second derivative of i(f) wrt f.
16
What is the third derivative of -5*y**2 - 3*y**3 + 0*y**3 - y**3 + 2*y**3 wrt y?
-12
What is the second derivative of 67 - 5*r + 16*r**3 + 8*r - 67 wrt r?
96*r
Find the second derivative of -6*c**4 + 8*c**4 - 4*c**4 - 21*c + 23*c**4 wrt c.
252*c**2
Let p(u) = 2*u - 9. Let f be p(5). Let t(n) be the first derivative of n + f + 0*n**2 + 0*n**3 - 1/4*n**4. Find the first derivative of t(b) wrt b.
-3*b**2
Find the first derivative of -2*o**2 - 4 - 2*o**2 + 4*o**2 + 6*o**4 wrt o.
24*o**3
Let t(m) = -8*m**2 - 9. Let z be 10 - 3/6*-2. Let y be z/2 + 1/2. Let j(v) = 9*v**2 + 10. Let c(n) = y*j(n) + 7*t(n). What is the derivative of c(f) wrt f?
-4*f
Let x(p) be the second derivative of -p**9/756 - p**5/60 + p**3 - p. Let z(t) be the second derivative of x(t). Find the second derivative of z(g) wrt g.
-80*g**3
Let l(w) be the second derivative of -7*w**6/30 - 5*w**3/6 - 5*w. Find the second derivative of l(y) wrt y.
-84*y**2
Let j(q) = q**3 - q**2 + q + 1. Let g = 3 + -1. Let d be j(g). Find the second derivative of -7 + d - 2*k + k**2 wrt k.
2
Let s(j) be the third derivative of 5*j**8/336 - 7*j**4/24 - 4*j**2. What is the second derivative of s(a) wrt a?
100*a**3
Let k(o) = 11*o**4 + 12*o**2 - 5*o - 5. Let j(w) = 10*w**4 + 11*w**2 - 4*w - 4. Let n(d) = 5*j(d) - 4*k(d). Find the third derivative of n(z) wrt z.
144*z
Let s = 8 - 5. What is the second derivative of 2*q**2 + q - 5*q**2 - s*q wrt q?
-6
Let o(t) = t**2 - 3*t - 12. Let i be o(6). What is the first derivative of 27 - 14 - 14 + i*c**2 wrt c?
12*c
What is the derivative of 2 + z - z - 1 + 6*z**3 wrt z?
18*z**2
Differentiate -6 + 6*u + 7 + 7 wrt u.
6
Let o(h) be the second derivative of 5/2*h**2 + 7/30*h**6 + 0*h**4 + 6*h + 0*h**5 + 0*h**3 + 0. What is the first derivative of o(n) wrt n?
28*n**3
Find the third derivative of 586*x**3 - 42*x**2 - 586*x**3 + 12*x**4 wrt x.
288*x
Find the second derivative of -1 + 0*g + 2*g**3 - 5*g + 3*g**4 + 11*g wrt g.
36*g**2 + 12*g
Let n be -2 + 3 - (-7 - -2). Suppose 5*l - 4*v + v = n, 0 = 2*l - 3*v - 6. What is the second derivative of -2*x - 2*x**3 + 3*x**3 + l*x**3 wrt x?
6*x
Let q(m) = -m**2 + m. Let s(o) = -28*o**2 + 3*o + 16*o**2 + 7*o. Let f be 1/(-1)*-2*1. Let n(i) = f*s(i) - 22*q(i). What is the second derivative of n(t) wrt t?
-4
Let t(v) = 18*v**2 + 35*v + 4. Let p(m) = 19*m**2 + 35*m + 3. Let k(a) = 4*p(a) - 3*t(a). Find the second derivative of k(y) wrt y.
44
Let z(d) be the first derivative of 0*d**4 + 5/7*d**7 + 0*d + 0*d**6 + 0*d**2 - 1 + 0*d**5 - d**3. Find the third derivative of z(g) wrt g.
600*g**3
Let i(t) = -45*t**5 + 11*t**3 + 24*t**2. Let m(g) = -9*g**5 + 2*g**3 + 5*g**2. Let x(j) = -4*i(j) + 22*m(j). Find the third derivative of x(z) wrt z.
-1080*z**2
Let t(y) be the second derivative of -y**9/252 + y**5/15 - 2*y**2 - 2*y. Let o(f) be the first derivative of t(f). Find the third derivative of o(r) wrt r.
-240*r**3
Let p(f) = 3*f + 5. Let i(q) = -6*q - 11. Suppose 0*u + 3 = 2*u + 5*w, 5*w = -4*u + 11. Let l(b) = u*i(b) + 9*p(b). What is the first derivative of l(o) wrt o?
3
Let k(d) = -49*d**3 + 4*d**2 + 45*d. Let g(z) = -931*z**3 + 77*z**2 + 854*z. Let b(v) = 4*g(v) - 77*k(v). Find the second derivative of b(n) wrt n.
294*n
Find the third derivative of -3*n**2 - 19*n**3 + 6*n**2 - n**6 - 24*n**3 - 3 wrt n.
-120*n**3 - 258
Let t(f) be the second derivative of -19*f**6/30 - 9*f**2/2 - 24*f. What is the first derivative of t(n) wrt n?
-76*n**3
Let x(w) = 14*w**2 + 3*w + 30. Let k(v) = 41*v**2 + 8*v + 89. Let r(p) = -3*k(p) + 8*x(p). Differentiate r(n) wrt n.
-22*n
What is the third derivative of 19*h**2 + 32*h**6 - 6*h + 11*h - 5*h wrt h?
3840*h**3
Let l(c) = -c + 1. Let k = 2 + -3. Let a be l(k). Find the first derivative of -3 - 2*v**2 + 4 + v**a wrt v.
-2*v
Let h(b) be the second derivative of 0*b**5 + 0*b**6 + 0*b**2 + 0 + 1/6*b**3 + 2*b + 1/21*b**7 + 0*b**4. Find the second derivative of h(q) wrt q.
40*q**3
Let t be (-2)/(0 + (-4)/6). Suppose 5*o - 2 = t. What is the first derivative of y + 1 + 0 + o wrt y?
1
Suppose 4*w + 3 = 11. Find the third derivative of w*h**2 - 1 - 2*h**4 - 3 + 4 wrt h.
-48*h
Let t(u) be the third derivative of 0*u**6 + 3*u**2 + 0*u**4 + 0*u + 0*u**5 + 0 - 1/3*u**3 - 1/42*u**7. Differentiate t(f) wrt f.
-20*f**3
Let n = -7 + 10. Let i(b) = b**3 - 3*b**2 - b + 4. Let q be i(n). Differentiate -w**4 + q - 1 - 1 with respect to w.
-4*w**3
Suppose -1 - 2 = -3*r. Suppose 3 + r = f + 3*z, 2*z + 1 = 3*f. Find the first derivative of 5*u**3 - f - 3*u**3 + 0*u**3 wrt u.
6*u**2
Let l(r) = -2*r**4 - r**3 + r**2 - r + 1. Let f(m) = -44*m**4 - 5*m**3 + 5*m**2 - 3*m + 5. Let j(i) = -f(i) + 5*l(i). Find the second derivative of j(y) wrt y.
408*y**2
Differentiate 3*y + 4*y + 15 + y with respect to y.
8
Find the second derivative of 9 + 3*r**4 - 9 - 6*r wrt r.
36*r**2
Suppose 0*s - s - 8 = -4*t, 0 = 5*t + 4*s - 31. Find the first derivative of -11*l**3 + 3*l**t + 6*l**3 + 8 wrt l.
-6*l**2
Suppose 4*o = -3*k - 8, 2*o + 7 = -3*k - 3. Let z(c) = -c + 1. Let v(x) = 7*x**4 + x + 5. Let i(y) = o*v(y) + z(y). What is the first derivative of i(p) wrt p?
28*p**3
Let i(r) be the first derivative of 13*r**3/3 - 27*r**2/2 + 18. What is the second derivative of i(t) wrt t?
26
Let b(v) be the first derivative of v**4 - 6*v + 5. What is the derivative of b(o) wrt o?
12*o**2
Let y(q) = -q + 4. Let k be y(0). What is the second derivative of 4*d**k + d - d + 6*d wrt d?
48*d**2
Let r(x) be the third derivative of 0*x + 0*x**4 + 0 - 2*x**2 - 1/120*x**6 - 1/2*x**3 + 0*x**5. Differentiate r(l) with respect to l.
-3*l**2
Find the third derivative of 5*w**2 - 10*w**2 - 6*w**2 - 6*w**5 wrt w.
-360*w**2
Differentiate 2458*v**2 - 2458*v**2 - 35 - 58*v**3 with respect to v.
-174*v**2
What is the third derivative of -430*z**3 + 8*z**5 - 9*z**2 + 430*z**3 wrt z?
480*z**2
Let h(w) = -16*w**3 + 27*w**2 - 4*w - 4. Let f(q) = -2*q**2 - q - 1. Let p(m) = -4*f(m) + h(m). What is the third derivative of p(k) wrt k?
-96
Let r(m) = 29*m**3 - 62*m**2 + 3*m + 3. Let h(p) = -57*p**3 + 123*p**2 - 5*p - 5. Let g(c) = 3*h(c) + 5*r(c). Find the third derivative of g(q) wrt q.
-156
Let w(g) be the second derivative of 1/2*g**2 + 0*g**3 + 0 - 2*g + 1/5*g**5 + 0*g**4. What is the first derivative of w(h) wrt h?
12*h**2
Let i be (30/18)/(1/6). Suppose i = z + z. Find the second derivative of 3*n - n + 0*n**5 - 2*n**z - 3*n wrt n.
-40*n**3
Let z(b) be the third derivative of -b**2 + 0*b + 7/6*b**3 - 1/210*b**7 + 0 + 0*b**5 + 0*b**6 + 0*b**4. What is the first derivative of z(o) wrt o?
-4*o**3
Let a(r) = 5 + 6*r**2 + 0*r**2 - 3 + r**3. Let g be a(-6). What is the third derivative of -3*d**3 + 5*d**3 + 3*d**g + 0*d**3 + 0*d**3 wrt d?
12
Let c(j) = -13*j**4 + 14*j + 5. Let k = -10 - -8. Let f(z) = -7*z**4 + 7*z + 2. Let b(m) = k*c(m) + 5*f(m). Find the second derivative of b(s) wrt s.
-108*s**2
What is the third derivative of -7*r**3 - 23*r**2 + 39*r**2 - 5*r**3 wrt r?
-72
Let c(r) be the first derivative of 5*r**6/3 + r**3/3 + 54. What is the third derivative of c(q) wrt q?
600*q**2
Let c(v) be the first derivative of -2 + 1/3*v**3 - 2*v + 0*v**2. Differentiate c(i) with respect to i.
2*i
Let x(n) be the third derivative of n**5/15 - n**4/6 - n**2. What is the second derivative of x(g) wrt g?
8
Let b(r) = 5*r**3 + 6*r**2. Let j = -13 + 18. Let o(w) = 6*w**3 + 6*w**2. Let l(f) = j*b(f) - 4*o(f). What is the third derivative of l(q) wrt q?
6
What is the derivative of -7*i**2 + 3 - 12*i**2 + 9*i**2 wrt i?
-20*i
Let t(k) = 2*k - 4. Let r be t(4). Find the third derivative of r*i**2 + 5 - 5 - i**3 wrt i.
-6
Let k(w) be the second derivative 