 3*f(k). Differentiate u(t) wrt t.
-201*t**2
Suppose -10 = -3*t + 8. Suppose -2*b = -5*j + 20, 4*j - 33 = -b - 4. Find the second derivative of -n**3 + t - j - 2*n wrt n.
-6*n
Let j(h) be the second derivative of h**6/60 + h**5/20 - h**2/2 + 3*h. Let t(m) be the first derivative of j(m). Find the third derivative of t(c) wrt c.
12
Suppose 5*m + 4 = -3*t, -4*m - 5 = 6*t - 3*t. Suppose -7 - m = -4*c. Find the third derivative of -9*b**3 + 11*b**3 + 3*b**c - b**2 wrt b.
12
Let q(z) be the second derivative of z**4/12 - 5*z**2/2 - z. Differentiate q(j) with respect to j.
2*j
Let o be 0/((-1)/(-3)*-3). Let s(q) be the second derivative of 3*q + q**2 + o + 1/6*q**3. What is the derivative of s(w) wrt w?
1
Let g = -11 - -14. Differentiate -63*u**2 - 2 + 63*u**2 - 5*u**g wrt u.
-15*u**2
What is the third derivative of 8*x**2 + 14*x**4 + 3*x**2 + 0*x**2 wrt x?
336*x
Let c(k) = -9*k**3 - 12*k**2 + 5*k + 5. Let z(i) = 8*i**3 + 11*i**2 - 6*i - 6. Let d(w) = -6*c(w) - 5*z(w). Find the third derivative of d(l) wrt l.
84
Suppose 0 = -3*m + 11 - 2. Let w(t) = t**3 - 2*t**2 - t - 4. Let g be w(m). Find the first derivative of -a**2 + 0*a**g + 2 + 4*a**2 + 1 wrt a.
6*a
Let a = -12 + 17. What is the third derivative of 0*b**5 + 6*b**a + b**2 - 3*b**5 wrt b?
180*b**2
Let j be 3/(-9) - 50/(-6). Suppose -2*f + 5*a + 14 = 0, -a - j = -4*f + f. What is the first derivative of -4 + 1 - f*k**3 + 5 wrt k?
-6*k**2
Let p(j) be the first derivative of -36*j**5/5 + 9*j**2/2 + 16. What is the second derivative of p(v) wrt v?
-432*v**2
Let z(k) be the first derivative of k**6/72 + k**5/15 - 2*k**3/3 - 4. Let r(h) be the third derivative of z(h). What is the second derivative of r(m) wrt m?
10
Let u(x) be the first derivative of -3/5*x**5 + 0*x**2 + 2 + 0*x**4 + 0*x + x**3. What is the third derivative of u(j) wrt j?
-72*j
Let c(l) = l**2 - 9*l + 1. Let n be c(7). Let j be 8/52 + (-37)/n. What is the second derivative of j*y - 3*y + 3*y - y**2 wrt y?
-2
Differentiate -5*b**2 - 6*b**2 - 7*b**2 + 18 + 0*b**2 with respect to b.
-36*b
Let g = 8 - 6. Let a(n) be the first derivative of -n + 1/3*n**3 + 1 + 0*n**g. What is the first derivative of a(p) wrt p?
2*p
Let o = -22 + 24. Let k(c) be the first derivative of 0*c**4 + 0*c**o + 1/5*c**5 - 3 + 0*c**3 + c. What is the derivative of k(f) wrt f?
4*f**3
Let p(s) = -s**4 - 5*s**3 - 5*s + 3. Let g(k) = 4*k**3 + 4*k - 2. Let u(q) = 5*g(q) + 4*p(q). What is the first derivative of u(w) wrt w?
-16*w**3
Find the third derivative of 3 - 3 - 6*n**2 + n**2 + 6*n**6 wrt n.
720*n**3
Let d(m) = 10*m**3 - 10*m**2 - 2*m. Let h(z) = -41*z**3 + 40*z**2 + 9*z. Let l(s) = 9*d(s) + 2*h(s). Find the third derivative of l(f) wrt f.
48
Let i = 0 - -5. Suppose -2*x = -i + 3. Differentiate -4*m + x + 2*m - 2 wrt m.
-2
Let g(z) be the second derivative of -z**7/42 + 7*z**5/20 + 5*z**3/3 - 3*z**2/2 + 3*z + 17. Find the second derivative of g(r) wrt r.
-20*r**3 + 42*r
Find the first derivative of 0 - 3 + 2*z - 5 + 3 wrt z.
2
What is the third derivative of 9*r**2 - 16*r**2 - r**2 + 12*r**4 - r**2 wrt r?
288*r
Let j(y) = 65*y**3 + 13*y + 5. Let t(x) = -33*x**3 - 7*x - 2. Let v(m) = 2*j(m) + 5*t(m). Find the second derivative of v(c) wrt c.
-210*c
Let v = 23 + -15. Differentiate 22*b**3 + v - 10*b**3 - 19*b**3 wrt b.
-21*b**2
Let k = 41 + -39. Let r(t) be the first derivative of t**3 + 0*t**2 + 3/4*t**4 + 0*t + k. Find the third derivative of r(v) wrt v.
18
Let v(i) = i**2 - i + 1. Let c(z) = -13*z**2 + 4*z - 31. Let l(b) = -c(b) - 6*v(b). Find the first derivative of l(m) wrt m.
14*m + 2
What is the second derivative of -5*x**4 + 7*x**4 + 7*x + 2*x**4 wrt x?
48*x**2
Let i(a) be the third derivative of a**8/84 + 31*a**5/60 - 33*a**2. What is the third derivative of i(p) wrt p?
240*p**2
Let i(c) be the third derivative of c**6/40 - 7*c**5/60 + 6*c**2. Find the third derivative of i(x) wrt x.
18
Let g = -17 - -29. Let m = -10 - -13. What is the second derivative of g*h**2 - 3*h - 2*h**m + 0*h - 12*h**2 wrt h?
-12*h
Let k(f) be the first derivative of -f**7/14 - f**4/3 - 5*f - 3. Let c(v) be the first derivative of k(v). Find the third derivative of c(m) wrt m.
-180*m**2
Suppose -5*v - b + 15 = 0, -v - 7 = 3*v - 3*b. What is the second derivative of 0*x + x**v + 5*x**2 - 3*x**2 + 5*x wrt x?
6
Let w(o) be the second derivative of 0*o**2 - 5/42*o**7 - 1/3*o**3 + 0*o**6 + 0*o**5 + 0 - 3*o + 0*o**4. What is the second derivative of w(q) wrt q?
-100*q**3
Suppose 3*x = -0*x. Let z be 6/(-3)*(-1 + x). Find the second derivative of 0*g**4 - 6*g - z*g**4 + 8*g wrt g.
-24*g**2
Let n(i) = -11*i**2 - i + 2. Let w(c) = c**2 - c + 1. Let x(j) = -n(j) + w(j). What is the derivative of x(b) wrt b?
24*b
Suppose -h + 2*t = 4*h - 7, -2*t + 8 = 0. Suppose -5*x + 15 = -2*q, -q + h*x - 7 - 2 = 0. What is the second derivative of q*m - 2*m**2 + m - m + 3*m wrt m?
-4
Let q be 13/(1/3*3). Find the third derivative of 4*v**2 + 3*v**4 - q*v + 13*v + 0*v**4 wrt v.
72*v
Let j(o) be the third derivative of o**7/420 - o**6/180 + 5*o**3/6 - 4*o**2. Let n(k) be the first derivative of j(k). Find the third derivative of n(g) wrt g.
12
Let m(t) be the first derivative of -t**4/12 + t**2/2 - t + 5. Let c(h) be the first derivative of m(h). Differentiate c(x) wrt x.
-2*x
Suppose 5*a - 31 = 2*l, -4*a + 1 = 5*l - 4. What is the second derivative of -9*w - a*w**3 + 2*w + 4*w**3 wrt w?
-6*w
Let n(d) be the first derivative of 3*d**2 + 0*d**3 - 5 + 3/2*d**4 + 0*d. What is the second derivative of n(v) wrt v?
36*v
Suppose -3*o = -3*d + 3 - 0, -3*d + 15 = 3*o. Find the third derivative of -4*i**2 - i**6 + 2*i**o + 6*i - 6*i wrt i.
-120*i**3
Suppose -5*a + 4*n = -15, 3*a - 15 = -2*a - 2*n. Suppose -m + 8 = a*m. Find the second derivative of 5*f**2 - 4*f**m + 0*f**2 - f wrt f.
2
Let u(m) be the first derivative of -3/2*m**2 + 0*m - 6 - 2*m**3. What is the second derivative of u(n) wrt n?
-12
Let t(b) be the first derivative of -31*b**5/5 + 22*b**3/3 + 11. Find the third derivative of t(x) wrt x.
-744*x
Let c(n) be the third derivative of 1/12*n**5 + 0 + 1/12*n**4 + 0*n + 0*n**3 - 3*n**2. Find the second derivative of c(a) wrt a.
10
Suppose 4*y + 0*y = -j - 29, -2*y - 3*j - 27 = 0. Let m be (-36)/(-10) + y/(-15). Find the third derivative of m*q**5 - q**5 - q**4 - q**2 + q**4 wrt q.
180*q**2
Let h(w) be the third derivative of w**8/6720 - w**7/1260 - w**4/8 + 3*w**2. Let f(m) be the second derivative of h(m). Find the third derivative of f(a) wrt a.
6
Find the second derivative of n**3 + 57*n**2 - 57*n**2 - 3*n + 11*n wrt n.
6*n
Let h(j) = 6*j**3 - 1. Suppose 0*n + 3*n = -12. Let u(d) = -17*d**3 + 3. Let k(q) = n*u(q) - 11*h(q). What is the first derivative of k(s) wrt s?
6*s**2
What is the derivative of -18*q**2 + 8*q + 9*q**2 + 56 + 11*q**2 - 5*q wrt q?
4*q + 3
Let j be (-9)/(-4) - (-3)/(-12). Suppose l + 2*r = 5, -3*l + 10 = j*l - 5*r. What is the first derivative of -u**l + 2*u**3 + 1 + 0 wrt u?
3*u**2
Let h(c) = -c**3 - 6*c**2 + c + 8. Let b be h(-6). Differentiate 2*z**3 - 5*z**2 + 1 - 4*z**3 + 5*z**b with respect to z.
-6*z**2
Let y = 1 + 12. Find the third derivative of -4*j**2 + y*j - 4*j**3 - 13*j wrt j.
-24
Let f(p) be the second derivative of -3*p**6/2 + 55*p**3/6 + 49*p. What is the second derivative of f(y) wrt y?
-540*y**2
Let t(h) be the first derivative of h + 1/3*h**3 - 3 + 3/2*h**2. Let r(k) be the first derivative of t(k). Find the first derivative of r(n) wrt n.
2
Let j(v) be the first derivative of -11*v**5/5 - 5*v**2 + 2. What is the second derivative of j(f) wrt f?
-132*f**2
Differentiate 19 + 4*i + 21*i + 8 with respect to i.
25
Let g(r) be the first derivative of 7*r**6/6 - 2*r**3/3 - 36*r + 64. Find the third derivative of g(o) wrt o.
420*o**2
Let o be (-52)/10 + (-4)/(-20). Let m = o + 8. Find the second derivative of -w + 2*w + 0*w**m - w**3 wrt w.
-6*w
Find the third derivative of 8*y**2 + 7*y**2 + 10*y**3 - 5*y**2 wrt y.
60
Let j be (1 - 29)*(-12)/14. Let v = -6 + 9. Find the third derivative of -24*l**4 - v*l**5 + j*l**4 + 2*l**2 wrt l.
-180*l**2
Let x be 1*(7 - 3) - -1. What is the second derivative of x*i**3 - i**4 + i**3 + i - 6*i**3 wrt i?
-12*i**2
Suppose -s = 4 + 2. Let c be (-5)/(-2) + 3/s. Differentiate 2*b**2 - 2*b**2 + c - 1 - b**2 with respect to b.
-2*b
Let n = 0