et z(b) be the first derivative of -b**6/30 + b**4/6 - 4*b - 4. Let d(c) be the first derivative of z(c). What is the third derivative of d(v) wrt v?
-24*v
Let c(x) = -x**2 - x + 2. Let n be c(0). Differentiate 1 + n*g**3 + g**3 - g**3 - 2 wrt g.
6*g**2
Suppose 5*j - 45 = -4*r, 3*r - 7*r + 2*j = -10. What is the third derivative of -5*w**2 + w**r + 0*w**2 + 2*w**2 wrt w?
60*w**2
Let w = -3 + 2. Let g be w/3 - 20/(-6). Find the third derivative of -2*u**3 - 3*u - u**2 + g*u wrt u.
-12
Let p(g) be the third derivative of 17*g**6/120 + g**5/3 + 23*g**2. What is the third derivative of p(k) wrt k?
102
Let m = -54 + 379/7. Let f(w) be the first derivative of 0*w**6 + 2 + 0*w**4 + m*w**7 + 0*w**5 + 0*w**2 + 0*w - w**3. Find the third derivative of f(u) wrt u.
120*u**3
Let c be (-1)/((-3)/3) + 3. Suppose 4*s - 12 = -c. What is the first derivative of -s + 3 + 3*p**3 - p**3 + 0*p**3 wrt p?
6*p**2
Find the second derivative of 12*i + 2*i - i + 5*i**2 wrt i.
10
Find the third derivative of 2*h**5 - 12*h**5 - 2*h**2 - 3*h**5 wrt h.
-780*h**2
Find the first derivative of 11*b**4 + b**4 - 25*b**4 + 22 wrt b.
-52*b**3
Suppose 0*y + 4*d = -4*y + 44, -3 = d. What is the third derivative of 0*r**3 - y*r**2 + 2*r**3 + 13*r**2 wrt r?
12
Suppose -6 + 2 = -2*t. Let z(s) = s**3 - s**2 + 2*s - 3. Let g be z(2). What is the third derivative of -t*v**2 - 2*v**3 + v**g + 2*v**3 wrt v?
60*v**2
Let c(f) = 16*f - 40. Let u(g) = -24*g + 60. Let r(v) = -8*c(v) - 5*u(v). Find the first derivative of r(m) wrt m.
-8
Let o(w) = -29*w**3 - 21*w**2 + 5*w - 5. Let v(i) = 14*i**3 + 11*i**2 - 3*i + 3. Let l(t) = -3*o(t) - 5*v(t). What is the third derivative of l(d) wrt d?
102
What is the third derivative of -5*i**2 + 12*i**2 - 2*i + 6*i**3 + 2*i wrt i?
36
Suppose 0 = -3*z - 4*b + 2, -2*z + 2 = -2*b + 4*b. Differentiate -w**z - 1 - 3*w**4 + w**2 wrt w.
-12*w**3
Suppose 0*y - 1 = -y + 4*f, 4*f = -4. Let z = -1 - y. What is the third derivative of -3*n**6 + n**2 + z*n**6 + 0*n**2 wrt n?
-120*n**3
What is the derivative of 0 + 15*h**4 - 7*h**4 + 4*h**4 + 1 wrt h?
48*h**3
Let i(y) = -40*y**3 + 11*y**2 - 15*y - 11. Let g(c) = -8*c**3 + 2*c**2 - 3*c - 2. Let h(d) = -11*g(d) + 2*i(d). Find the second derivative of h(u) wrt u.
48*u
Find the second derivative of -3*u - 13*u + 32*u**2 - 3*u**2 wrt u.
58
Let x(a) = 2*a**3 + 8*a + 5. Let f(u) = -2*u**3 - 9*u - 6. Let j(d) = 5*f(d) + 6*x(d). What is the second derivative of j(q) wrt q?
12*q
Let o(p) be the first derivative of p**3/3 - 9*p**2/2 + 11*p - 1. Let k be o(8). What is the second derivative of 8*q**2 - 8*q**2 - 2*q - k*q**4 wrt q?
-36*q**2
Let s(l) be the first derivative of -5*l**4 - 25*l + 4. Find the first derivative of s(t) wrt t.
-60*t**2
Suppose 3*d + 2*h = 6, d + d = 3*h + 4. What is the first derivative of w**2 + 4*w - 4*w + 2*w**d - 3 wrt w?
6*w
Let o(v) be the first derivative of 11*v**4/4 - 5*v**3/3 + 3*v**2 - 44. Find the third derivative of o(n) wrt n.
66
Let t = 34 - 59. Let n be t/(-9) - 4/(-18). Find the second derivative of 3*b**4 + 3*b**5 + 3*b - n*b**4 - 2*b**5 wrt b.
20*b**3
Find the second derivative of -2 + 5*y + 5*y**5 - 10*y**3 + 2*y**4 + 24*y**3 - 14*y**3 wrt y.
100*y**3 + 24*y**2
Suppose 4*m = 8, -3*m = w - m - 6. What is the second derivative of 37 + 6*n**2 - 37 - w*n wrt n?
12
Let v = -4 - 2. Let m be (1*-1)/(2/v). Find the first derivative of p**3 + 0*p**m + 2 - 1 wrt p.
3*p**2
What is the third derivative of 3*d**6 - 13*d**6 + 14*d**2 - 2*d**2 wrt d?
-1200*d**3
What is the third derivative of 31*r**3 - 18*r**3 + 0*r**2 + 10*r**2 wrt r?
78
Let j(t) be the third derivative of 1/70*t**7 + 0*t + 0*t**5 + 1/6*t**3 + 0 + 0*t**6 + 0*t**4 + 2*t**2. What is the first derivative of j(w) wrt w?
12*w**3
Suppose -12*m + 15*m - 15 = 0. What is the second derivative of 5*p**m - p**5 - 8*p**5 + 2*p**5 + 2*p wrt p?
-40*p**3
Let t(y) be the second derivative of 0*y**4 - 1/15*y**6 + 0*y**5 - 5/6*y**3 + 3*y + 0*y**2 + 0. What is the second derivative of t(p) wrt p?
-24*p**2
Suppose -2*s = 3*z - 7, -26 = -5*s + z - 0*z. Find the second derivative of s*h + 0*h**4 - 2*h + h**4 + h wrt h.
12*h**2
Let m(j) be the third derivative of 0*j**6 + 0 + 1/30*j**7 + 0*j - 2*j**2 - 1/30*j**5 + 0*j**3 + 0*j**4. What is the third derivative of m(y) wrt y?
168*y
What is the second derivative of 5 + 5 + 12*h**3 - 10 - 2*h wrt h?
72*h
Let h(a) = -13*a**3 - 3*a**2 + 7*a + 7. Let j(s) = -7*s**3 - s**2 + 4*s + 4. Let i(k) = -4*h(k) + 7*j(k). What is the third derivative of i(r) wrt r?
18
Let o(s) = s**3 - 5*s**2 + 6*s - 6. Suppose -v + 14 = 2*m, -4*m + 3*m = -5. Let t be o(v). Find the first derivative of -c**t + c**4 + 2 + c**2 wrt c.
4*c**3
Let o(z) = 8*z**6 - 2*z**5 - 10*z**2 - 2. Let s(n) = 7*n**6 - 3*n**5 - 9*n**2 - 3. Let w(i) = -3*o(i) + 2*s(i). Find the third derivative of w(d) wrt d.
-1200*d**3
Let d(x) = -x**2 + 12*x - 20. Let f be d(10). Let v(l) be the third derivative of 0*l + 0*l**4 + f + 1/60*l**5 + 1/6*l**3 - l**2. Differentiate v(s) wrt s.
2*s
Let v(a) be the first derivative of 2*a - 5*a - a + 0*a - a**4 + 3. What is the derivative of v(w) wrt w?
-12*w**2
What is the third derivative of 70*l**2 - 24*l**3 - 24*l**3 - 96*l**2 - 22*l**2 wrt l?
-288
Let c(t) be the third derivative of t**9/1512 + t**6/90 + t**3/3 + 3*t**2. Let m(d) be the first derivative of c(d). Find the third derivative of m(a) wrt a.
120*a**2
Find the second derivative of 33*w**4 - 33*w**4 - 6*w + 6*w**5 wrt w.
120*w**3
Let j(x) = x**3 + 8*x**2 - 10*x + 6. Let q be j(-9). Suppose -r - q = -4*r. What is the second derivative of -5*h**r - h - 2*h + 8*h**5 wrt h?
60*h**3
Let y be (-119)/(-7)*(-1 + 2). Suppose -5*g + 3 = -y. What is the second derivative of -41*o**3 + o**4 + g*o + 41*o**3 wrt o?
12*o**2
What is the third derivative of 219 - 18*j**2 - 219 - 5*j**6 - 17*j**6 wrt j?
-2640*j**3
Differentiate -n**3 - 28 + 1 - 11*n**3 with respect to n.
-36*n**2
Let t(s) = -s + 12. Let l be t(9). What is the derivative of -6*q**3 + 3*q**3 + 3*q**l + 6*q**3 + 5 wrt q?
18*q**2
Let l be 1/7 + (-6)/42. Let z(y) be the second derivative of 0*y**3 - 1/20*y**5 + 0*y**2 + 1/12*y**4 + 2*y + l. What is the third derivative of z(p) wrt p?
-6
Let c(s) = -9*s**3 + 58*s**2. Let m(i) = -13*i**3 + 87*i**2. Let f(j) = 8*c(j) - 5*m(j). Find the third derivative of f(u) wrt u.
-42
Differentiate -1511*v + 37*v**2 + 1511*v + 56 wrt v.
74*v
Let x(g) = g + 1. Let w(s) = 10*s - 2. Let t(z) = w(z) - 4*x(z). Differentiate t(b) wrt b.
6
Let g(v) be the first derivative of 2*v**5/5 + 5*v**2/2 + 5. What is the second derivative of g(y) wrt y?
24*y**2
Let m be -2 + (-6 + 3 - -8). Suppose 6 = -b + m*b. What is the derivative of -1 + q**3 + 3*q**3 - b wrt q?
12*q**2
Let i(w) be the first derivative of -2*w**6/3 + 3*w**2 + 10. What is the second derivative of i(f) wrt f?
-80*f**3
Let y(s) = -48*s**3 - 4*s**2 + 5. Let z(h) = -48*h**3 - 3*h**2 + 6. Let a(r) = 6*y(r) - 5*z(r). Find the third derivative of a(x) wrt x.
-288
Let m(a) be the third derivative of -a**6/40 - 5*a**4/6 + 8*a**2. Find the second derivative of m(w) wrt w.
-18*w
Let p be (-2)/10 - 7/(-35). Find the second derivative of 5*m + p*m + 4*m**2 + 2*m - 12*m**2 wrt m.
-16
Let o(b) = b**4. Let v(j) = 12*j**5 + 3*j**4 + 21*j. Let h(q) = -3*o(q) + v(q). What is the second derivative of h(c) wrt c?
240*c**3
Let w(a) = -12*a**4 + 8*a**2 - 8*a - 1. Let k(r) = -20 + 4*r**4 - 3*r**2 + 20 + 3*r. Let t(x) = 8*k(x) + 3*w(x). Differentiate t(l) wrt l.
-16*l**3
Let g(n) be the third derivative of -n**2 + 1/6*n**4 + 0*n + 0 + 2/3*n**3. What is the first derivative of g(f) wrt f?
4
Let n(l) be the third derivative of 11*l**9/252 + 23*l**5/60 + 13*l**2. Find the third derivative of n(p) wrt p.
2640*p**3
Let p(q) = -7*q**3 + q**2 + 24*q. Let u(b) = 36*b**3 - 4*b**2 - 120*b. Let a(h) = -14*p(h) - 3*u(h). What is the second derivative of a(s) wrt s?
-60*s - 4
Let n(z) = z - 7. Let g be n(9). Let c(y) = 3*y - 2. Let a be c(g). What is the third derivative of -3*m**2 - 5*m**2 + 5*m**2 - 3*m**a + m**4 wrt m?
-48*m
What is the first derivative of -2 + 59*z**2 - 3 - 62*z**2 wrt z?
-6*z
Let c(r) be the first derivative of r**4 + r**2 + 13. Find the second derivative of c(m) wrt m.
24*m
Differentiate 157*r**3 - 1 - 161*r**3 - 4 with respect to r.
-12*r**2
Suppose 2*t