 the second derivative of i(w) wrt w.
-14
Let c(j) = -35*j**2 - 74*j. Let p(n) = 18*n**2 + 38*n. Let y(i) = 3*c(i) + 5*p(i). What is the second derivative of y(r) wrt r?
-30
Differentiate 9 + 2*r**3 - 13*r**3 + 0*r**3 - 10 wrt r.
-33*r**2
Let c(p) = -4*p**2 + 3*p + 1. Let z = 59 + -23. Let f(a) = z*a**2 - 8 - 15*a + 11*a - 24*a. Let j(g) = 28*c(g) + 3*f(g). Differentiate j(r) wrt r.
-8*r
Suppose 5 = 6*v - v. Differentiate -v - 25*n + 25*n - 9*n**2 wrt n.
-18*n
Let u(j) = -j**5 - j**4 - j**2 + 1. Let h(t) = 12*t**5 + 4*t**4 - 4. Let i(f) = -h(f) - 4*u(f). Find the third derivative of i(p) wrt p.
-480*p**2
Suppose 5*w + x - 68 = 0, 0*x = -3*w - 4*x + 34. Find the first derivative of -13 - 2*o - o + w wrt o.
-3
Let m(u) be the second derivative of u**7/420 - u**6/180 - u**3/6 - 2*u. Let t(y) be the second derivative of m(y). Find the third derivative of t(r) wrt r.
12
Let a(w) be the third derivative of -5*w**8/112 - 5*w**4/8 - 18*w**2. What is the second derivative of a(x) wrt x?
-300*x**3
What is the second derivative of 188*v - 377*v - 14*v**5 + 186*v + 10 wrt v?
-280*v**3
What is the derivative of -67*p**3 + 4 + 15*p**4 + 67*p**3 wrt p?
60*p**3
Let t be 15/(-36)*-3*-4. Let p = t - -8. Find the second derivative of -5*q + 3*q + p*q - 3*q**4 wrt q.
-36*q**2
Find the first derivative of 4*a**4 - 11 - 12*a**4 + 6*a**4 + 66 - 8*a wrt a.
-8*a**3 - 8
Differentiate 8 + 44*h**3 + h**2 - 33 + 12 wrt h.
132*h**2 + 2*h
Let c(g) be the third derivative of 0*g**3 - 3*g**2 + 1/120*g**6 + 0*g**5 + 0 + 1/8*g**4 + 0*g. What is the second derivative of c(k) wrt k?
6*k
Suppose y + 4*y = -t + 55, -2*y + 4 = 4*t. Let b be (y/18)/((-2)/(-3)). What is the derivative of 5 + 2*j + b - 3 + 1 wrt j?
2
Let g(t) = 22*t**2 + 13*t + 5. Let c(r) = 33*r**2 + 20*r + 8. Let p(d) = -5*c(d) + 8*g(d). Find the second derivative of p(j) wrt j.
22
Let i(z) be the first derivative of z**5/5 - 21*z**4/2 - z**2/2 - 8*z - 35. What is the second derivative of i(k) wrt k?
12*k**2 - 252*k
Let t(h) = -h**4 - 3*h**3 - 3*h**2. Let f(c) = -4*c**3 - 2*c**2 + 2*c**3 + 0*c - c. Let i(r) = 3*f(r) - 2*t(r). What is the second derivative of i(o) wrt o?
24*o**2
Suppose 0 = -6*o + 7*o. Let i(h) be the third derivative of 0 + 0*h**4 + 1/120*h**6 + o*h + 1/2*h**3 + 0*h**5 - 2*h**2. What is the derivative of i(x) wrt x?
3*x**2
Let n(l) be the third derivative of 3*l**2 + 0*l**3 + 0*l**5 + 0*l + 0 - 1/12*l**4 - 1/40*l**6. Find the second derivative of n(d) wrt d.
-18*d
Let p(y) be the first derivative of y**5 + 23*y**2/2 + 1. What is the second derivative of p(f) wrt f?
60*f**2
Let x = 7 - 4. Let w(p) be the first derivative of 0*p**4 + 3 + 3/5*p**5 + 0*p**x - 3*p + 0*p**2. Differentiate w(r) wrt r.
12*r**3
Suppose 5*l - 4*l = -4*i + 3, 4*i - 57 = 5*l. Let a be (-2)/(-3) + (-21)/l. What is the second derivative of -3*g**3 - 2*g**4 + 3*g**a - 2*g wrt g?
-24*g**2
Suppose 0 = -k + 5*k - 16. What is the third derivative of 3*l**6 + k*l**2 - l**2 - 2*l**2 wrt l?
360*l**3
Let v(h) = h**3 + h. Let k(u) = -2*u**4 - 8*u**3 - 4*u**2 - 8*u. Let f(m) = k(m) + 8*v(m). Find the third derivative of f(q) wrt q.
-48*q
Let a(h) be the first derivative of -h**9/3024 + h**5/120 - h**3 - 2. Let y(l) be the third derivative of a(l). What is the second derivative of y(q) wrt q?
-20*q**3
Suppose -2*w = -4*w + 8. Let l(x) be the second derivative of 0 + 1/3*x**3 + 1/12*x**w + 2*x + 0*x**2. Find the second derivative of l(h) wrt h.
2
Let i(s) be the second derivative of -s + 0 + 2*s**2 + 0*s**3 + 0*s**4 + 1/10*s**5. Find the first derivative of i(j) wrt j.
6*j**2
What is the third derivative of 18*k**2 - 8*k**2 - 2*k**5 + 0*k**4 + 0*k**4 wrt k?
-120*k**2
Let j(l) be the second derivative of 39*l**5/20 + 7*l**3/3 + 48*l. What is the second derivative of j(w) wrt w?
234*w
Suppose 3*l - 2*l = -10. Let j be (8/5)/((-4)/l). What is the third derivative of 2*p**4 + p**2 - 5*p**j + 4*p**4 wrt p?
24*p
Let q(j) be the second derivative of 7*j**3/6 - j**2 - 4*j. Differentiate q(v) wrt v.
7
Suppose 0 = o - 14 + 9. Find the third derivative of 15*b**2 + 4 + 5*b**5 - o*b**2 - 4 wrt b.
300*b**2
Suppose 5*b - 17 - 13 = 0. Find the third derivative of -c**2 + 9*c**2 - c**2 + 3*c**b wrt c.
360*c**3
Let x(m) be the second derivative of -4*m + 0 + 1/3*m**3 + m**2. Find the first derivative of x(b) wrt b.
2
Let y(k) = 5*k - 21. Let s = 4 + 0. Let j(f) = s*f - 6*f + 0*f + 10. Let a(x) = 13*j(x) + 6*y(x). What is the derivative of a(o) wrt o?
4
Find the second derivative of 3*q**3 - 2*q - 12*q**3 + 5*q wrt q.
-54*q
What is the derivative of -1 - 6*o**4 + 12 - 7 wrt o?
-24*o**3
Let r(a) = a - 2. Let v(z) = -3*z + 3. Let i(c) = -2*c + 2. Let l(t) = -5*i(t) + 4*v(t). Let u(b) = -4*l(b) - 5*r(b). What is the derivative of u(j) wrt j?
3
Let g(v) be the second derivative of -v**7/1260 + v**5/40 - v**4/4 + v. Let r(n) be the third derivative of g(n). What is the first derivative of r(m) wrt m?
-4*m
What is the second derivative of -10*p + 5*p - 2*p**2 - 8*p - p**2 wrt p?
-6
Let k(y) = -4*y + 3. Let s(a) = a**2 + a. Let d(i) = k(i) - 2*s(i). Let u(t) be the first derivative of d(t). Differentiate u(j) with respect to j.
-4
Let y(h) = 10*h**2 + 7*h + 9. Let t(k) = 5*k**2 + 4*k + 4. Let p(m) = 7*t(m) - 4*y(m). Find the first derivative of p(f) wrt f.
-10*f
Let s(g) = -51*g**2 - 2*g - 26. Let u(z) = z**2 + z - 1. Let t(w) = s(w) + 2*u(w). Differentiate t(y) with respect to y.
-98*y
Let t(d) be the first derivative of d**4/2 + 29*d**3/3 - 22*d + 28. What is the derivative of t(c) wrt c?
6*c**2 + 58*c
Let b = 16 + -9. What is the second derivative of n - 8*n - b*n**5 + 2*n wrt n?
-140*n**3
Differentiate -12 + 5 - 6*y**4 + y**4 with respect to y.
-20*y**3
Let t(c) be the second derivative of c**8/14 + 5*c**4/6 + 16*c. What is the third derivative of t(d) wrt d?
480*d**3
Suppose -3*h + 25 = 5*c, 2*c + 4*h - 24 = -0*c. What is the third derivative of -2*w**3 + 4*w**2 + 3*w**2 - w**c wrt w?
-12
Let t(q) = -14*q**4 - 6*q**2 + 1. Let o(m) = -m**4 + m**2. Let g(w) = 6*o(w) + t(w). Differentiate g(h) wrt h.
-80*h**3
Let u(o) = 14*o**3 - 4*o**2 - 6*o - 4. Let n(z) = 15*z**3 - 5*z**2 - 6*z - 5. Let x(a) = 4*n(a) - 5*u(a). What is the second derivative of x(p) wrt p?
-60*p
Let t(p) be the second derivative of -23*p**5/20 + 9*p**4/4 - 14*p. Find the third derivative of t(q) wrt q.
-138
Let t be (-105)/(-175) - 6/10. Let u(g) be the second derivative of -3/2*g**2 - 1/20*g**5 + t*g**3 - 3*g + 0*g**4 + 0. Find the first derivative of u(h) wrt h.
-3*h**2
Find the third derivative of 24*x**6 + 0*x**2 - 22*x**6 + 2*x**2 - 17*x**6 wrt x.
-1800*x**3
Let t(p) be the third derivative of p**7/42 + p**5/15 + 3*p**2. Find the third derivative of t(d) wrt d.
120*d
Suppose -2*k + 11 = 3. What is the second derivative of 2*s**4 + s**k - 2*s - 3*s wrt s?
36*s**2
What is the third derivative of -6*d**2 - 3*d**2 + 13*d**3 + 0*d**2 + 5*d**2 wrt d?
78
Let o(t) be the first derivative of -2*t**7/7 - 17*t**3/3 - 29. What is the third derivative of o(b) wrt b?
-240*b**3
Let b(u) = -4*u**5 + u**4 - u**3 - 10*u**2 + 1. Let r(n) = -n**5 + n**4 - n**3 + n**2 + 1. Let d(y) = -b(y) + r(y). Find the third derivative of d(z) wrt z.
180*z**2
Let j(q) be the second derivative of -q**7/210 - q**6/45 + q**3/6 - q. Let z(m) be the second derivative of j(m). What is the third derivative of z(r) wrt r?
-24
Let y be ((-1)/3)/((-5)/(-75)). Let g = y - -7. What is the second derivative of 0*x - 6*x**3 + x**3 + 2*x**3 - g*x wrt x?
-18*x
Find the first derivative of 19 + 20*z - 1 - 4 + 3 wrt z.
20
Let f(j) be the second derivative of 3*j**3/2 + 33*j**2 + 15*j + 1. Differentiate f(k) wrt k.
9
Find the third derivative of -9*p**5 - 630*p**4 + 630*p**4 - 4*p**2 wrt p.
-540*p**2
Let g(z) be the third derivative of z**5/15 + 7*z**3/6 - 6*z**2. Differentiate g(i) with respect to i.
8*i
Let w(f) = -3*f**3 - 2*f**2 - f. Suppose 2*a - 3*a - 1 = 0. Let q be w(a). What is the second derivative of -2*b + 40*b**2 - b - 40*b**q - b**4 wrt b?
-12*b**2
Let j = -6 - -10. Let t = 18 - 11. What is the second derivative of 2*x**4 - 7*x**3 + t*x**3 - j*x wrt x?
24*x**2
Suppose -4*p = p - 10. Let a(d) be the first derivative of -1/3*d**3 - 2 + 0*d + d**p. Find the second derivative of a(b) wrt b.
-2
Let f(r) be the third derivative of r