w**4 + 30*w**3 + 30*w**2 - 35*w. Let x(q) = n(q) - 30*r(q). Find the second derivative of x(u) wrt u.
60*u**2
What is the third derivative of 13*l**6 + l**2 - 2*l**2 - 2*l**2 wrt l?
1560*l**3
Let l(w) be the second derivative of 0 - 3/2*w**2 + w - 1/2*w**3. Differentiate l(j) with respect to j.
-3
Let v(j) = 1 + j**3 + j**2 - 4*j + 2 + j**2. Let x be v(2). What is the derivative of 10*t - x*t + 0 + 4 - 3 wrt t?
-1
Let z(n) = -n**3 - 7*n**2 - 6*n + 8. Let y be z(-6). What is the first derivative of o + 7*o - y*o + 1 - o**2 wrt o?
-2*o
Let s = -20 + 23. Differentiate 9 + 3*h**4 - 12 + s*h**4 wrt h.
24*h**3
Let g(q) be the first derivative of 5 + 0*q**3 + 4*q**2 - 5/2*q**4 + 0*q. Find the second derivative of g(j) wrt j.
-60*j
Let x(z) = 3*z**3 + 6*z**2 + 4*z + 4. Let m(g) = 6*g**3 + 13*g**2 + 7*g + 9. Let w(b) = -4*m(b) + 9*x(b). What is the second derivative of w(q) wrt q?
18*q + 4
Let a(p) = -19*p**3 - 12*p**2 - 2*p. Let f(k) = -18*k**3 - 13*k**2 - 3*k. Let r(o) = -3*a(o) + 2*f(o). What is the third derivative of r(n) wrt n?
126
Let q(t) be the first derivative of 5*t**3/3 - t - 4. Differentiate q(x) with respect to x.
10*x
Let y(t) = -2*t**3 + t**2. Let j = 4 - 7. Let o = 4 + j. Let u(a) = -a**3. Let w(q) = o*y(q) - u(q). What is the third derivative of w(f) wrt f?
-6
Let j be (2 - -2)/(-2 - -3). Suppose 0 + 16 = j*z. What is the first derivative of -5 + 3*i**4 + 1 + i**z wrt i?
16*i**3
Let c(k) be the third derivative of 0*k**6 + 0*k**7 + 1/112*k**8 + 0*k**5 + 2*k**2 - 1/6*k**4 + 0*k + 0 + 0*k**3. What is the second derivative of c(r) wrt r?
60*r**3
Let r(i) be the third derivative of -7*i**4/24 - i**3/6 - 4*i**2. Differentiate r(j) wrt j.
-7
Let f(n) be the third derivative of -n**8/42 - n**5/10 - 7*n**2. What is the third derivative of f(t) wrt t?
-480*t**2
Let p(x) = x**3 + 5*x**2 - 6*x + 6. Let b be p(-6). What is the third derivative of 2*s**2 - 4*s**3 + 6*s**2 + 3*s**3 - b*s**2 wrt s?
-6
Find the third derivative of 16*f**3 + 18*f**2 + 13*f - 13*f - 56*f**2 wrt f.
96
Let w(d) = -7*d**3 - 3*d**2 + d. Let l(h) = 13*h**3 + 5*h**2 - 3*h. Let u(v) = -3*l(v) - 5*w(v). What is the second derivative of u(n) wrt n?
-24*n
Let f be ((-2 - 1) + 2)*4. Let s(a) = -3*a - 6. Let o be s(f). Find the second derivative of -o*n + 2*n + 0*n + n + 3*n**5 wrt n.
60*n**3
Let m(q) be the third derivative of -1/56*q**8 - 2*q**2 + 0*q + 0*q**6 + 0 + 0*q**5 + 0*q**3 + 0*q**7 + 1/8*q**4. Find the second derivative of m(d) wrt d.
-120*d**3
Let l(m) be the second derivative of m**5/5 + m**4/4 - 12*m. Find the third derivative of l(o) wrt o.
24
Let p(w) be the first derivative of -4*w**5/5 + w**3/3 - 12*w + 13. Differentiate p(t) with respect to t.
-16*t**3 + 2*t
Suppose -3*n + 3*d = 0, 4*n - 2*d = 3*n. Let q(i) = i**2 - i + 5. Let s be q(n). What is the third derivative of -5*k**2 + 3*k**2 + 3*k**s + 4*k**2 wrt k?
180*k**2
Suppose -v = -0 - 4. What is the third derivative of f - v*f**3 - f**2 - 4*f + 3*f wrt f?
-24
Let c(a) = 8*a**4 - 21*a - 6. Let j(w) = 119*w**4 - 315*w - 91. Let g(k) = 91*c(k) - 6*j(k). What is the second derivative of g(x) wrt x?
168*x**2
Let l(s) = 10*s**2 + 8*s. Let f(g) = -11*g**2 - 9*g. Let n(w) = -5*f(w) - 4*l(w). What is the second derivative of n(v) wrt v?
30
Let m(d) = 3 - 2 - 2 - 6*d + 4*d**3. Let b(f) = -f**3 + f. Let c = 16 - 10. Let s(p) = c*b(p) + m(p). Find the first derivative of s(w) wrt w.
-6*w**2
Let w be (-4)/(-3)*6/4. Suppose -j = -4*x + 3, -5*x = -x + 3*j + 9. Differentiate -4 + 2 - w*t**4 + x*t**4 wrt t.
-8*t**3
Let x be 1 - -1 - (-24)/(-12). Let r(p) be the second derivative of -p - 1/6*p**3 + x - 1/2*p**2. What is the first derivative of r(l) wrt l?
-1
Let m(i) be the second derivative of -i**8/3360 + i**6/120 - i**4/2 - 5*i. Let u(s) be the third derivative of m(s). Find the second derivative of u(k) wrt k.
-12*k
Let f be 3 - 4 - 3 - -8. Let p(v) be the second derivative of v + 0*v**5 + 0 + v**2 + 0*v**f + 0*v**3 - 1/15*v**6. Find the first derivative of p(y) wrt y.
-8*y**3
Find the second derivative of 7*t**2 - t + 3*t**2 + 12*t**2 - 6*t**2 wrt t.
32
Let h(i) be the first derivative of 3*i**2/2 - 3*i + 4. Differentiate h(p) with respect to p.
3
Let t(i) be the first derivative of 12*i**7/7 - 3*i**3 + 3. Find the third derivative of t(b) wrt b.
1440*b**3
Let a(z) be the third derivative of 0*z**4 + 0*z + 0*z**7 - 4*z**2 + 0*z**6 + 0 + 0*z**3 + 1/168*z**8 + 1/30*z**5. Find the third derivative of a(v) wrt v.
120*v**2
Let o(r) be the third derivative of -4*r**7/105 + r**4/12 - 11*r**2. What is the second derivative of o(t) wrt t?
-96*t**2
Let c be -2*(-1 - (-4)/(-8)). Find the second derivative of -c*o + 0*o**2 + 6*o**3 + 0*o**2 + 9*o wrt o.
36*o
Let p(o) be the second derivative of 3*o**2 - 1/3*o**4 - o + 0*o**3 + 0. What is the derivative of p(c) wrt c?
-8*c
What is the derivative of 5*y - 6*y + 4 + 0*y + 9*y wrt y?
8
Let a be -1*1 + (26 - 5)/7. Let s(k) be the second derivative of 0 + 0*k**4 + 0*k**3 + 4*k + 1/20*k**5 - k**a. Differentiate s(y) wrt y.
3*y**2
Let l(w) = -14*w**3 - 5*w**2 + 5*w + 45. Let u(z) = z**3 - z**2 + z. Let d(t) = -l(t) + 5*u(t). Differentiate d(p) with respect to p.
57*p**2
Suppose 3*m = -5*o + o + 168, -5*o - 3*m = -207. Suppose -4*p = s - 32, 3*p + o = 6*p - 3*s. Find the second derivative of 2*w**5 + w - 9*w**4 + p*w**4 wrt w.
40*w**3
Find the second derivative of 7*k**2 + 5*k**2 - 30*k - 26*k**2 - 14*k**2 wrt k.
-56
Let c = 7 + -5. What is the second derivative of -4 + 3*w + c*w**3 + 4 wrt w?
12*w
Let m(p) be the second derivative of -9*p**3 - 13*p**2 + 33*p - 1. What is the derivative of m(u) wrt u?
-54
What is the third derivative of -11*u**2 - 24*u**3 - 4*u**2 + 27*u**2 wrt u?
-144
What is the third derivative of 3*b**2 + 3*b**2 + 20*b**3 + 28*b**2 - 57*b**3 wrt b?
-222
Let f(b) = -b**3 + 3*b + 9. Let p(u) be the first derivative of u**2/2 + 2*u - 3. Let l(j) = -2*f(j) + 9*p(j). What is the second derivative of l(i) wrt i?
12*i
Differentiate -6*b**3 - 9*b**3 + 49 - 31 wrt b.
-45*b**2
Let s(v) be the first derivative of -2*v**4 - 11*v**2/2 - 9. Find the second derivative of s(l) wrt l.
-48*l
Let q(o) = 12*o**3 + 6*o**2 + 7*o + 6. Let v(d) = d**2 + 1. Let a(l) = q(l) - 6*v(l). Find the second derivative of a(h) wrt h.
72*h
Let w(c) be the first derivative of c**3/3 + 7*c**2/2 + 3*c - 1. Let m be w(-7). Differentiate -3*f**2 + m*f**2 - 2*f**2 + 3*f**2 + 1 wrt f.
2*f
Let g(a) = 7*a - 21. Let x(l) = 3*l - 10. Let q(c) = 2*g(c) - 5*x(c). Differentiate q(i) wrt i.
-1
Let y(f) be the first derivative of 0*f**3 - 7 - 7/2*f**2 - 3/4*f**4 + 0*f. What is the second derivative of y(s) wrt s?
-18*s
Let i(m) be the second derivative of m**8/336 - m**6/120 + m**3/3 + 6*m. Let a(b) be the second derivative of i(b). What is the third derivative of a(d) wrt d?
120*d
Let x(a) = 7*a**2 - 5*a - 1. Let l(z) = z**2 - z - 1. Let y = 2 + -1. Let s(k) = y*x(k) - 5*l(k). What is the first derivative of s(p) wrt p?
4*p
Let w be (-5)/(-3) - 1/(-3). What is the first derivative of -1 - 8*v + 9*v + w*v wrt v?
3
Let k(x) be the third derivative of -4*x**6/15 - 11*x**5/30 - 33*x**2. Find the third derivative of k(r) wrt r.
-192
Let g(n) be the second derivative of n**6/15 + n**3/3 - 4*n. What is the second derivative of g(b) wrt b?
24*b**2
Let w be (-8)/20 - (-110)/25. Find the second derivative of t - w*t**3 - t**3 + 4*t wrt t.
-30*t
Let u(k) be the first derivative of 8*k**3/3 - k**2 - 7. Find the second derivative of u(g) wrt g.
16
Let o(s) be the second derivative of s**9/2160 - s**5/20 + s**4/12 - 7*s. Let p(l) be the third derivative of o(l). What is the first derivative of p(u) wrt u?
28*u**3
Let y(n) be the third derivative of -n**6/60 + n**4/3 + 10*n**2. Find the second derivative of y(r) wrt r.
-12*r
Let k(j) be the third derivative of 0*j**5 + 3*j**2 + 0*j**6 + 0 + 1/3*j**3 + 0*j**4 - 1/42*j**7 + 0*j. Find the first derivative of k(z) wrt z.
-20*z**3
Let l(r) be the second derivative of 7*r**6/15 - 10*r**3/3 - 15*r. What is the second derivative of l(w) wrt w?
168*w**2
Let v(y) = 4*y**2 - 2*y. Let l(h) = 1 - h - 9 + 8. Let c(s) = -5*l(s) + v(s). Find the second derivative of c(f) wrt f.
8
Let i(q) = -q**3 + 3*q**2 - 3*q + 2. Let o(f) = f**3 + f**2 - f - 1. Let s(r) = 2*i(r) - 6*o(r). Find the first derivati