*a**3/6 + 78*a. What is the third derivative of c(p) wrt p?
2820*p**2 - 24*p
Let t(k) be the third derivative of 0 + 0*k**5 + 1/8*k**4 + 0*k**3 + 0*k - 1/30*k**6 + 7*k**2. Find the second derivative of t(h) wrt h.
-24*h
Let q(f) = f**3 + 16*f**2 - f - 2. Let y be q(-16). Find the third derivative of -3*u + 2*u + 20*u**5 + u - y*u**2 wrt u.
1200*u**2
Find the first derivative of -9*w**2 - 55 - 27 - 25*w**2 wrt w.
-68*w
Let g(j) be the third derivative of 0 + 23/60*j**5 + 0*j**4 + 0*j + j**3 - 17*j**2. Differentiate g(a) wrt a.
46*a
Let d(y) be the second derivative of 3*y**6/10 + y**5/20 - 143*y**3/6 + 34*y. Find the second derivative of d(l) wrt l.
108*l**2 + 6*l
Let q(t) = 180*t**3 + 5*t**2 + 30*t - 5. Let l(m) = 181*m**3 + 6*m**2 + 30*m - 6. Let c(f) = 5*l(f) - 6*q(f). Find the second derivative of c(v) wrt v.
-1050*v
Suppose 2*v = -2*y + 20, 0 = 5*v - 3*v + 5*y - 35. Find the second derivative of -v + 4 - g + g**2 + 1 wrt g.
2
Let y(r) be the first derivative of -47*r**6/2 - 7*r**3/3 - 11*r**2/2 + 501. What is the third derivative of y(i) wrt i?
-8460*i**2
Let b(y) = -4*y**5 + 4*y**5 - y**6. Let f(w) = 143 - 288 + 7*w**6 - 4*w**2 + 145. Let z(q) = -2*b(q) - f(q). Find the third derivative of z(p) wrt p.
-600*p**3
Suppose 2*l - 6*l = -48. What is the second derivative of -6*u - l*u**2 + 11*u**2 - 7*u**2 wrt u?
-16
Let d = -6 - 6. Let y = 14 + d. Find the third derivative of -5*c**4 + 10*c**2 + 10*c**y - 7*c**2 - c**2 wrt c.
-120*c
Differentiate -34*r**3 + 259 + 46*r**3 - 58 - 7*r wrt r.
36*r**2 - 7
Let h(g) be the second derivative of 107*g**4/12 + 65*g**2 + 4*g + 4. What is the derivative of h(k) wrt k?
214*k
Let r(d) be the first derivative of -d**6/3 + 9*d**5/5 - 82*d**3 + 138. What is the third derivative of r(x) wrt x?
-120*x**2 + 216*x
Let u(w) = 30*w + 17. Let b(d) = -31*d - 17. Let s(j) = 2*b(j) + 3*u(j). What is the first derivative of s(q) wrt q?
28
Let r(c) be the third derivative of 0*c**6 + 0*c**5 + 11/105*c**7 + 0*c + 22*c**2 + 5/6*c**4 + 0 + 0*c**3. What is the second derivative of r(z) wrt z?
264*z**2
Let i(w) = -6 + 6 - 3 + w**2 + 0 - 5*w. Let f be i(6). Find the second derivative of -f*x - 2*x - 3*x**4 + 0*x wrt x.
-36*x**2
Let z(b) be the third derivative of 0*b**6 + 0*b**5 + 0*b - 1/210*b**7 - 13*b**2 + 2/3*b**4 + 0*b**3 + 0. What is the second derivative of z(q) wrt q?
-12*q**2
Let l = 25 - 15. Suppose 2*d = l*d - 16. Differentiate 6 - d - 5*o**4 + 15*o**4 with respect to o.
40*o**3
Let q(m) = 176*m**3 + 4*m**2 - 4*m - 229. Let y(g) = 176*g**3 + 5*g**2 - 5*g - 231. Let a(c) = -5*q(c) + 4*y(c). What is the derivative of a(i) wrt i?
-528*i**2
Let v be (-288)/(-126) + 2/(-7). What is the third derivative of -9*w**6 - 14*w**6 + 55*w - 55*w + 19*w**v wrt w?
-2760*w**3
Suppose 66 = 3*z + 3*j, z + 2*z - 4*j - 52 = 0. Suppose 2*n = g + 3*g + 30, 0 = -4*g - z. Find the second derivative of 3*m - 2*m - n*m - 4*m**2 wrt m.
-8
Let z(u) be the second derivative of 0 + 0*u**4 - 43/2*u**2 - 2/5*u**6 + 0*u**3 - 24*u + 0*u**5. What is the derivative of z(d) wrt d?
-48*d**3
Let v(h) = -2*h**2 - 12*h. Let t(q) be the first derivative of q**3/3 + 11*q**2/2 + 10. Let j(n) = -3*t(n) - 2*v(n). Find the second derivative of j(y) wrt y.
2
Suppose 3*k = 12, -2*i - 5*k - 17 + 5 = 0. Let m = 16 + i. What is the derivative of m*d**2 + 4*d**2 - 2 - 3*d**2 wrt d?
2*d
Find the third derivative of -13*x**2 + x**3 - 8 - 6 + 100*x**4 + 7 - 15*x**2 - 4 wrt x.
2400*x + 6
Let n(w) be the second derivative of 0 + 0*w**3 + 0*w**2 + 24*w + 0*w**5 - 3/10*w**6 + 11/12*w**4. Find the third derivative of n(q) wrt q.
-216*q
What is the second derivative of -11*g**5 - 9*g**2 + 3550*g - 3696*g + 7*g**2 wrt g?
-220*g**3 - 4
Let z(v) = 13*v**3 - 9*v**2 - 3*v. Let c(k) = -27*k**3 + 17*k**2 + 5*k - 1. Let t(h) = -3*c(h) - 5*z(h). What is the third derivative of t(y) wrt y?
96
Suppose -6*h = -4*h - 560. What is the third derivative of 266*t**2 - 8*t**3 - h*t**2 - 7*t**3 wrt t?
-90
What is the derivative of -z**3 - 202 - 182 + 325*z - z**3 - 355*z wrt z?
-6*z**2 - 30
Suppose -i - 3*f + 12 - 3 = 0, -i = -2*f + 1. Find the second derivative of -11*j + 18*j**i - 23*j + 41*j wrt j.
108*j
Let q(h) be the third derivative of 0*h + 0*h**4 + 13/70*h**7 + 0 + 0*h**6 - 10*h**2 + 0*h**5 + 19/3*h**3. Differentiate q(c) with respect to c.
156*c**3
Let w = 6 + -5. Let n be (12 + -12)/(-1 - w). Find the first derivative of -6 - 3*c**3 + n - c**3 + 3*c**3 wrt c.
-3*c**2
Let z = 30 + -28. Let s(y) = -1 + 8 - z*y - 2*y + 3*y. Let i(l) = -l + 10. Let m(b) = -5*i(b) + 7*s(b). Differentiate m(d) with respect to d.
-2
Find the second derivative of 7*p - 53*p - 10*p - 1276*p**2 - 2*p + 341*p**2 wrt p.
-1870
Suppose 18*x + 51 = 35*x. Let c(a) be the third derivative of 0 + 1/6*a**5 - 5/6*a**x + 0*a + 4*a**2 + 0*a**4. Differentiate c(v) wrt v.
20*v
Let j(b) = 80*b**3 - 24. Let p(z) = z + 1. Let t(l) = j(l) + 2*p(l). Differentiate t(w) wrt w.
240*w**2 + 2
Let q(t) = 176*t**4 + 12*t**2 + 6*t + 11. Let a(y) = -59*y**4 - 4*y**2 - 2*y - 4. Let d(z) = 11*a(z) + 4*q(z). What is the third derivative of d(g) wrt g?
1320*g
Let v(o) = 4*o**3 + 0*o**3 + o**3 + 1. Let q(j) be the first derivative of -5*j**4/4 - j + 3. Let t(d) = -5*q(d) - 6*v(d). What is the derivative of t(k) wrt k?
-15*k**2
Find the first derivative of 47 - 4*z**2 - 7 + 26 - 4*z**4 + z**4 wrt z.
-12*z**3 - 8*z
Let g(y) = -253*y + 144. Let a(l) = -1267*l + 721. Let r(f) = -2*a(f) + 11*g(f). What is the first derivative of r(h) wrt h?
-249
Let a(p) be the second derivative of 7*p**4/6 + p**3/3 + 39*p**2/2 + p + 10. Differentiate a(u) with respect to u.
28*u + 2
Differentiate -2004*k**3 - 36 + 1902*k**3 - 81 wrt k.
-306*k**2
Differentiate 3 + 15 + 5 + a - 22*a wrt a.
-21
Let k(z) = -z + 1. Let s(d) = -d**2 - 3*d + 7. Let v(j) = 2*k(j) - s(j). Let a be v(3). What is the third derivative of -23 - 9*q**5 + 23 + a*q**2 wrt q?
-540*q**2
Let q(x) = -2*x**2 + 4*x - 2. Let p be q(2). Let h = p - -4. What is the second derivative of d**h + 3 - 3 + 4*d wrt d?
2
Let n(p) = -1. Let u = 23 + -24. Let h(t) = -6*t**3 - 19*t + 5. Let z(j) = u*h(j) - 5*n(j). What is the second derivative of z(k) wrt k?
36*k
Let s(u) = -44*u**2 - u - 1. Let a(y) = 46*y**2 + 2*y + 1. Let k(i) = 3*a(i) + 4*s(i). Differentiate k(r) wrt r.
-76*r + 2
Find the second derivative of -4*u + 3*u**3 + 5*u**2 + 0*u**3 + 0*u + 34*u**2 + 7*u - 4 wrt u.
18*u + 78
Let g be (-17)/(-5) - 2/5. Find the third derivative of -11*k**2 - 9*k**3 + 7*k**3 + 5*k**g + 11*k**3 wrt k.
84
Suppose 2*t + t - 24 = 0. Let y be (t/6)/(14/21). What is the first derivative of -3*p**2 + 4*p**y + 3 - 2*p**2 wrt p?
-2*p
What is the second derivative of -37*u + 51*u + 26*u - 45*u**5 + 29*u wrt u?
-900*u**3
Let t be (-28)/(-9) + 5/(-45). Let z(w) be the first derivative of -2 - 2*w + 0*w**2 + 4/3*w**t. Differentiate z(h) wrt h.
8*h
Find the second derivative of -9*r + 7 - 7*r + 2*r - 2*r**4 + 12*r - 9*r**3 wrt r.
-24*r**2 - 54*r
Let k(m) be the third derivative of -12*m**7/35 - 11*m**3/6 - 37*m**2. Find the first derivative of k(w) wrt w.
-288*w**3
Let x(s) = -s - 2. Let n be x(-4). Suppose 8 = 2*y + n. Find the second derivative of -9*h - 8 + y*h**2 + 5 + 3 wrt h.
6
Let s be 60/20 - (-12)/(-5). Let m(x) be the first derivative of -x + 0*x**4 + 0*x**2 + 0*x**3 + 8 + s*x**5. Differentiate m(p) wrt p.
12*p**3
Let x = 7 + -3. Let l(y) = y**3 - 5*y**2 + 6*y - 6. Let w be l(x). Find the third derivative of 3*n**2 + 5*n**6 - w*n**6 - 2*n**2 + n**6 wrt n.
480*n**3
Let h be 288/(-90)*(-5)/2. What is the derivative of -2 - 8*f**3 - h + 2 wrt f?
-24*f**2
Let h(r) be the first derivative of -3*r**5/5 - r**4/4 + 31*r**3/3 + r**2/2 + 155. Find the third derivative of h(g) wrt g.
-72*g - 6
Let k(c) be the third derivative of -371*c**5/30 - 101*c**4/12 + c**2 + 8. What is the second derivative of k(a) wrt a?
-1484
Suppose 0*u = 4*u - 16. Suppose u*q = -0*q + 8. What is the third derivative of 0*v**4 + 7*v**3 + 7*v**q - 7*v**3 - v**4 wrt v?
-24*v
Let k(u) = 455*u**3 + 10*u**2 - 6*u - 71. Let h(t) = 227*t**3 + 6*t**2 - 4*t - 36. Let m(r) = 5*h(r) - 3*k(r). What is the second derivative of m(n) wrt n?
-1380*n
Let w(v) = -2*v**4 - 10*v**2 - 6*v + 314. Let n(x) = -2*x**4 - 10*x**2 - 5*x + 312. Let k(l) = -6*n(l) + 5*w(l). Find the first