*a**3
Let y(a) be the first derivative of 5*a**3 + 3*a**2/2 - 9. What is the second derivative of y(q) wrt q?
30
Suppose 4*z + 3*g = -2*g + 33, -5*z + 20 = 2*g. What is the derivative of 1 + 0*y**3 + z + y**3 wrt y?
3*y**2
Let y(i) = 2*i**3 - 3*i**2. Let m be y(2). Let p(h) = -h + 4. Let x be p(2). Differentiate c**4 - 1 - 2*c**m + x*c**4 wrt c.
4*c**3
Let u(s) = 73*s**3 - 4*s**2 - 5*s - 20. Let c(x) = -218*x**3 + 11*x**2 + 14*x + 60. Let v(r) = 4*c(r) + 11*u(r). What is the second derivative of v(k) wrt k?
-414*k
Let l(s) = -s - 5. Let b be l(-7). Let c(u) = u + 8. Let p be c(-6). What is the first derivative of -3*q + q**p + q + 3 + b*q wrt q?
2*q
Let v(y) = -3*y**3 + 26*y**2 - 4*y. Let o(x) = x**3 - x**2 + x. Let u(r) = -4*o(r) - v(r). Find the third derivative of u(h) wrt h.
-6
Let j be ((-6)/4)/(1/(-2)). Suppose -j*x + 6 = -2*x. Find the third derivative of -v**x + 2*v**5 - 2*v**5 - v**2 wrt v.
-120*v**3
Let g(p) be the first derivative of -3*p**4 + 8*p + 7. What is the first derivative of g(y) wrt y?
-36*y**2
Let m(g) be the second derivative of 27*g**5/20 - 41*g**2/2 + 14*g. What is the first derivative of m(r) wrt r?
81*r**2
Let k(g) = -3*g**2 + 3*g + 3. Let x(f) = 4 - 4 - 4 + 3. Let z(s) = -k(s) - 3*x(s). Find the second derivative of z(d) wrt d.
6
Let v(i) = i**3 - 1. Let m(x) = 26*x**3 - 27*x + 6. Let n(t) = -m(t) - 6*v(t). What is the second derivative of n(b) wrt b?
-192*b
Find the third derivative of 2*u**4 - 10*u**2 + 12*u**2 - 7*u**2 wrt u.
48*u
Let t = -59 - -61. Let d(o) be the second derivative of -1/2*o**2 + 0 + t*o + 1/6*o**3. Differentiate d(x) wrt x.
1
Find the second derivative of 9*d - 342*d**3 + 342*d**3 - d**4 wrt d.
-12*d**2
Let u = -1 + -1. Let o = u - -6. Differentiate 5*v + 1 - 2*v**o - 5*v with respect to v.
-8*v**3
Let v(r) = -7*r + 5. Let b(w) = 13*w - 9. Let i(h) = 6*b(h) + 11*v(h). What is the first derivative of i(d) wrt d?
1
Let u(r) = -49*r**2 + 27*r - 5. Let p(w) = 146*w**2 - 82*w + 14. Let k(j) = 5*p(j) + 14*u(j). Find the second derivative of k(x) wrt x.
88
Find the third derivative of 4*o**2 + 7*o**5 - 3*o**5 - 16*o**2 - 8*o**2 wrt o.
240*o**2
Let v(r) = r**5 - r**4 - r**3 - r + 1. Let f(q) = -5*q**4 - 5*q**3 + 14*q + 5. Let s(g) = f(g) - 5*v(g). Find the second derivative of s(w) wrt w.
-100*w**3
Find the third derivative of -2*k**5 - k**6 - 3*k**5 + 20041*k**2 - 20089*k**2 wrt k.
-120*k**3 - 300*k**2
Let w(i) be the third derivative of -13*i**9/504 + 23*i**5/60 + 29*i**2. Find the third derivative of w(d) wrt d.
-1560*d**3
Let f be 2/6*(-8 + 14). Let c(d) be the first derivative of -d + 0*d**f + 2 - 1/2*d**4 + 0*d**3. Differentiate c(m) with respect to m.
-6*m**2
Let o(v) = -3*v**3 + 13*v**2 + 2*v - 2. Let n(m) = 7*m**3 - 25*m**2 - 5*m + 5. Let q(a) = 2*n(a) + 5*o(a). Find the third derivative of q(k) wrt k.
-6
Let d(x) be the first derivative of -2 + 0*x**4 + 0*x + 1/2*x**6 - 2*x**2 + 0*x**3 + 0*x**5. What is the second derivative of d(m) wrt m?
60*m**3
Let l(x) = x**2 + 10*x + 11. Let p be l(-9). Find the first derivative of 4 + 2*k**2 + 2*k**p - 5*k**2 wrt k.
-2*k
Let d(n) = -12*n**3 + 9. Let p(i) = 13*i**3 - 9. Let u(z) = 3*d(z) + 2*p(z). Differentiate u(k) wrt k.
-30*k**2
Let d(w) be the third derivative of -1/24*w**4 + 0*w**6 + 0 + 3*w**2 + 0*w + 1/336*w**8 + 0*w**3 + 0*w**7 + 0*w**5. What is the second derivative of d(f) wrt f?
20*f**3
Suppose 2*j = 5*j - 6. What is the second derivative of 4*g**2 + 2*g**4 - 3*g - 3*g**j - g**2 wrt g?
24*g**2
Let v(l) = -53*l**3 - 5*l - 65. Let s(k) = -186*k**3 - 18*k - 228. Let f(q) = -5*s(q) + 18*v(q). What is the first derivative of f(t) wrt t?
-72*t**2
Let a(p) = 3*p**2 - 3*p. Let d be a(2). Find the third derivative of -z**2 - z**6 + 2*z**d - 3*z**2 wrt z.
120*z**3
Let z(y) = 14*y**5 - 4*y**4 - 4*y**3 - 17*y**2 + 4*y. Let k(w) = -w**5 - w**4 - w**3 + w. Let t(b) = -4*k(b) + z(b). Find the third derivative of t(j) wrt j.
1080*j**2
Let o be 0 + -1 - -1 - 7. Let c = -6 - o. Differentiate -5*p + c + 5*p + 3*p wrt p.
3
Let i(l) be the second derivative of -1/2*l**3 - 1/12*l**4 + 0*l**2 + 0 + 3*l. What is the second derivative of i(z) wrt z?
-2
Find the third derivative of -9*i**2 - 212*i**6 + 3*i**2 + 208*i**6 wrt i.
-480*i**3
Let n(d) = -18*d**4 - 5*d**3 + 5*d**2 + 5. Let b(w) = -17*w**4 - 4*w**3 + 4*w**2 + 5. Let c(y) = -5*b(y) + 4*n(y). What is the derivative of c(o) wrt o?
52*o**3
Let p = 12 + -10. Let b(n) be the first derivative of 0*n**p + 2*n + 1 - 1/3*n**3. Find the first derivative of b(u) wrt u.
-2*u
Suppose 3*k = -k - 4, 0 = -2*t - 3*k - 3. Suppose 3*d - 5 = -r - 0*d, -4*r + d + 7 = t. What is the third derivative of s**2 - s**3 + 0*s**2 + r*s**3 wrt s?
6
Suppose m + g = -0*g + 15, 0 = -m + 5*g + 15. Let k = -11 + m. What is the second derivative of -3*h**4 + 2*h**4 - h**k - 2*h wrt h?
-24*h**2
Let v(g) = 2*g**2 + 2*g - 3. Let f = -7 + 8. Let i(u) = 1 - 4*u + f - 4*u**2 + 3. Let j(k) = -3*i(k) - 5*v(k). What is the second derivative of j(b) wrt b?
4
Let i = -10 + 15. Suppose -w - 2*x = -6*w + 10, -w + x = 1. What is the second derivative of -l - l + l**4 + l - i*l**w wrt l?
-48*l**2
Let n(s) = s**3 - 13*s**2 + 13*s - 10. Let o be n(12). Suppose -o = -2*u + 4. What is the third derivative of 0*z**2 - 4*z**3 + 2*z**3 + u*z**2 wrt z?
-12
Let m(o) be the third derivative of 0*o**4 + 0 + 0*o + 3/40*o**6 + 8*o**2 + 0*o**3 + 1/60*o**5. Find the third derivative of m(k) wrt k.
54
Find the third derivative of -12*l**2 - 7*l**5 + 62*l**2 + 3*l**5 wrt l.
-240*l**2
Let l = 10 + -18. Let n = -5 - l. What is the second derivative of -y**3 - 2*y + 3*y + n*y**3 wrt y?
12*y
Let n(g) be the third derivative of -4*g**6/15 - 43*g**3/6 - 19*g**2 - 2. Differentiate n(l) wrt l.
-96*l**2
Let r be 18/8 - (-6)/(-24). Find the third derivative of 4*i**2 + 5*i**4 - r*i**2 - i**4 wrt i.
96*i
Suppose 0*s + 5 = -5*s, -4*s = -4*l + 16. Differentiate -6*i**3 + l*i**2 - 3*i**2 - 5 with respect to i.
-18*i**2
Find the third derivative of 13*l**4 - 2*l**2 - 4*l**2 - 5*l**4 - l**2 wrt l.
192*l
Let o(p) = 7*p + 5. Let g(c) = 13*c + 10. Let f be (2/3)/(2/9). Let i(m) = f*g(m) - 5*o(m). Find the first derivative of i(l) wrt l.
4
Let m(j) be the third derivative of j**8/420 - j**4/24 + j**3 - 6*j**2. Let h(p) be the first derivative of m(p). What is the first derivative of h(t) wrt t?
16*t**3
Let r(l) = -l + 4. Let d(y) = -y + 1. Suppose -3*g + 6 + 0 = -4*t, 23 = -4*g - 5*t. Let z(v) = g*d(v) + r(v). What is the derivative of z(c) wrt c?
1
Let y(l) be the first derivative of 1/2*l**2 + 0*l - 2 + 1/3*l**3. Find the second derivative of y(b) wrt b.
2
Find the third derivative of 59*s**3 + 5*s**2 - 71*s**3 - 4*s**2 wrt s.
-72
Suppose -3*o - 20 = -4*n - 2*o, 2*n + 5*o + 12 = 0. What is the second derivative of 3*m**4 - m**4 + 0*m**n - 5*m wrt m?
24*m**2
Let n(k) = -k**4 - 5*k**3 + 7*k**2 - 5. Let m(u) = -2*u**4 - 16*u**3 + 22*u**2 - 16. Let g(v) = 5*m(v) - 16*n(v). What is the third derivative of g(z) wrt z?
144*z
Let c(f) = 12*f**4 - 3*f**2 - 4*f. Let l(d) = -d**2 + d. Let g(u) = c(u) - 3*l(u). Find the second derivative of g(h) wrt h.
144*h**2
What is the third derivative of -5*f**3 + 7*f**3 - 7*f**4 + 5 + 40*f**2 + 27*f**4 - 4 wrt f?
480*f + 12
Let y(d) be the third derivative of -d**9/504 + 7*d**6/360 + d**3/2 - d**2. Let u(f) be the first derivative of y(f). Find the third derivative of u(s) wrt s.
-360*s**2
Let p(l) be the second derivative of -7*l**5/20 + l**4/12 - l**3/6 + 4*l - 1. Find the third derivative of p(w) wrt w.
-42
Let h(a) = -83*a**4 + 7*a**2 + 7*a. Let l(s) = 41*s**4 - 4*s**2 - 3*s. Let o(g) = -3*h(g) - 7*l(g). What is the third derivative of o(j) wrt j?
-912*j
What is the first derivative of 24*m + 13 + 4 - 2*m wrt m?
22
Find the second derivative of -p - 8*p - 5700*p**4 + 5718*p**4 wrt p.
216*p**2
Let s(p) = -p**5 - p**4 - 1. Let d = 2 - 6. Let j(h) = -5*h**5 - 4*h**4 + 5*h - 4. Let z(v) = d*s(v) + j(v). Find the second derivative of z(l) wrt l.
-20*l**3
Let y(x) = -x + 5. Let b be y(-2). Find the second derivative of -7*m + 0*m + 3*m + b*m**2 - 6*m wrt m.
14
Let o(z) = 5*z**2 - 5*z - 2. Let s = 13 - 18. Let h(j) = j**4 - 4*j**2 + 4*j + 1. Let x(m) = s*h(m) - 4*o(m). What is the first derivative of x(a) wrt a?
-20*a**3
Let s(q) = q**3 - q**2 + q - 1. Let r(t) = 6*