*2 - 21*k**2 + 8*k**6 wrt k.
-4080*k**3
Let l = -15 + 17. Find the first derivative of t + 8 + 11*t - 12*t + 11*t**l wrt t.
22*t
Suppose -5*t = -t - 16. Let i = t + 0. What is the second derivative of 4*q**4 + 7*q**i - 15*q**4 + 7*q wrt q?
-48*q**2
Let w(a) be the third derivative of 0*a + 0*a**5 + 7/24*a**4 - 7*a**2 + 0 + 1/30*a**6 + 0*a**3. Find the second derivative of w(f) wrt f.
24*f
Let o(n) be the first derivative of 1/3*n**3 + 0*n**4 + 0*n + 0*n**5 - 1/3*n**6 - 2 + 0*n**2. Find the third derivative of o(w) wrt w.
-120*w**2
Find the third derivative of -3*c**2 + 3*c - 16*c**3 - 729*c**4 - 3*c**2 + 731*c**4 wrt c.
48*c - 96
Suppose -4*d + 15 = y, 5*d - 4*y - 49 = -4. Suppose d*j - 4 = 6. Find the third derivative of 85*l**3 - 85*l**3 + 8*l**2 - j*l**4 wrt l.
-48*l
Let k(t) = -7*t + 5. Let h(m) = 1 - 1 + m + 7 - 8. Let c(r) = -2*h(r) + k(r). Differentiate c(y) wrt y.
-9
Let s(i) = -86*i + 3. Let g be s(-5). Find the second derivative of -4*w - g + 433 + 11*w**4 wrt w.
132*w**2
Suppose -3*u = -7*u + 16. Suppose 3*q = 10 - u. Differentiate 3*d**4 + 0*d + 2*d - q*d - 3 wrt d.
12*d**3
What is the second derivative of -201*t + 79*t**5 + 243*t**5 + t**3 - 340*t - 105*t wrt t?
6440*t**3 + 6*t
Let g(p) be the second derivative of 0 + 0*p**5 + 0*p**2 + 0*p**3 + 8*p + 1/3*p**6 + 3/4*p**4. What is the third derivative of g(v) wrt v?
240*v
Let v(z) be the first derivative of -z**4/2 + 5*z**3/2 - 14*z - 13. Let s(y) be the first derivative of v(y). What is the second derivative of s(p) wrt p?
-12
Let l(u) = -26*u**3 - 3*u**2 - 8*u + 492. Let p(x) = 23*x**3 + 4*x**2 + 9*x - 490. Let y(m) = -4*l(m) - 3*p(m). What is the first derivative of y(q) wrt q?
105*q**2 + 5
Suppose 21 = 3*s + 12. Find the second derivative of 5*j - 2*j**3 + 2*j**s - 4*j**3 wrt j.
-24*j
Suppose 10*j = 4*j - 6. Let i(r) = r - 2. Let p(a) = a - 1. Let t(g) = j*i(g) + 4*p(g). Differentiate t(v) wrt v.
3
Find the first derivative of -6*h**2 - 56 - 200*h**4 - 3*h + 3*h + 192*h**4 wrt h.
-32*h**3 - 12*h
Suppose 18*i - 12 = 12*i. Find the third derivative of 26*b**4 - 3*b**4 - b**i - 23*b**4 + 25*b - 40*b**6 wrt b.
-4800*b**3
Suppose -9*t + 27 = -9. Let w(k) be the second derivative of 4*k + 0*k**t + 3/20*k**5 - 3/2*k**2 + 0 + 0*k**3. What is the derivative of w(h) wrt h?
9*h**2
Let g = -14 + 14. Find the first derivative of -3 - 1 + 2*r - 2 + g wrt r.
2
Let r(a) be the first derivative of 26*a**5 + 2*a**3/3 + 46*a**2 + a - 100. What is the second derivative of r(n) wrt n?
1560*n**2 + 4
Let n(j) be the second derivative of j**9/5040 + j**5/120 - j**4/3 + 9*j. Let p(z) be the third derivative of n(z). What is the first derivative of p(y) wrt y?
12*y**3
Suppose -5*l - 7*z + 4*z + 20 = 0, -2*l + 8 = -5*z. What is the third derivative of 41*u**l - 6*u**2 + 2*u - 15*u + 13*u wrt u?
984*u
Let y(f) be the second derivative of -f**5/10 - 53*f**4/12 + 66*f**3 + 2*f - 20. Find the second derivative of y(o) wrt o.
-12*o - 106
Let w = -5 - -5. Suppose x = -f - w*x + 11, 0 = -f - 2*x + 15. Differentiate 5 + 14*m**4 - 26*m**4 + f*m**4 wrt m.
-20*m**3
Let g(i) be the first derivative of -723*i**4/4 + 403*i + 530. Find the first derivative of g(j) wrt j.
-2169*j**2
Let q be (5 - 0)/(3/((-24)/(-20))). What is the third derivative of -81*c**q + 56*c**2 + 3*c**3 + 28*c**3 wrt c?
186
Let w(s) be the third derivative of -s**7/210 - 23*s**6/40 + s**5/12 + 16*s**3/3 - 9*s**2 + 3. Find the third derivative of w(z) wrt z.
-24*z - 414
Suppose 5*w - d + 3*d - 35 = 0, 50 = 5*w + 5*d. Suppose -3*p = 5*c - 3*c - 13, p + c - w = 0. Find the first derivative of -1 + 9 + p - 6 + r wrt r.
1
Let k(i) be the first derivative of 2*i**5/5 - 214*i**3/3 + 719*i + 316. Differentiate k(o) wrt o.
8*o**3 - 428*o
Let c(a) = -a**2 + 11*a + 34. Let k be c(11). Differentiate -15 - 31 + 47*s**4 + k wrt s.
188*s**3
Let s(d) be the third derivative of -34*d**6/15 + 134*d**3/3 - 52*d**2 + 3*d. Differentiate s(k) with respect to k.
-816*k**2
Suppose 7*x = 12 + 9. What is the third derivative of 5*h**2 - 32*h**2 - 226*h**x + 232*h**3 wrt h?
36
Suppose -3*c + 5 = 2*c. What is the second derivative of -c + 6*l + 6*l - 7*l**2 + 1 wrt l?
-14
Let x(g) be the third derivative of -1/48*g**8 + 17/24*g**4 + 0*g**6 - 5*g**2 + 0 + 0*g**5 + 0*g + 0*g**3 + 0*g**7. What is the second derivative of x(n) wrt n?
-140*n**3
Let c(m) = m**2 - 10*m - 7. Let u be c(11). Suppose -j = -u - 3. What is the first derivative of j - 5 + 4 - 5*a**3 wrt a?
-15*a**2
Let i(u) be the second derivative of 7*u**6/15 + 3*u**5/10 - 38*u**4 + 611*u. What is the third derivative of i(m) wrt m?
336*m + 36
Differentiate 82*d + 30 - 24*d - 152*d with respect to d.
-94
Let s(b) = -b**3 - 7*b**2 - b + 9. Let i be s(-7). Suppose -4*w - 4 = -i. Differentiate -2 + 4 + w - 5*f with respect to f.
-5
Suppose -2*f + 5 - 3 = 2*k, -2 = 3*f + 2*k. Let n(c) = -c**2 - 6*c - 5. Let q be n(f). What is the first derivative of 5 - 2*d**q + 4*d**4 + 2*d**3 - 3 wrt d?
16*d**3
Suppose -h + 20 = 4*j, -j = -9*h + 4*h + 16. Find the second derivative of 3*k**h - 2*k + 27*k - 7*k wrt k.
36*k**2
Let x(n) be the second derivative of n**8/280 + 3*n**4/4 + 7*n**3/3 - 15*n. Let g(c) be the second derivative of x(c). Find the first derivative of g(b) wrt b.
24*b**3
What is the second derivative of -2*v**2 + 22 + 270*v**4 - 7*v + 0*v**2 - 44*v - 22 wrt v?
3240*v**2 - 4
Let s be 4/18 - (-223)/9. Let q = 29 - s. What is the third derivative of -3 + 3*i**4 + 9*i**2 + 3 + 3*i**q wrt i?
144*i
Let j(l) = 3*l**2 - 26*l + 8. Let r be j(9). What is the first derivative of -9 - 16 - 19 + r*k**3 + 12 wrt k?
51*k**2
Let v = 6 - 4. What is the third derivative of 12*n**6 + 9*n**2 + 3*n**v + 5*n**2 + 6*n**6 wrt n?
2160*n**3
Find the second derivative of 42*m**4 - 27*m - 42*m**4 + 37*m**5 wrt m.
740*m**3
Let v be 1/(-3) + (-4)/(-3) - -3. Suppose -2*l + 7*l = 15. Differentiate -6 + v + 0*w + 3*w + l*w with respect to w.
6
Let r(a) = -7*a**2 + 15*a + 302. Let l(k) = -4*k**2 + 7*k + 153. Let c(i) = -11*l(i) + 6*r(i). What is the derivative of c(s) wrt s?
4*s + 13
Let v be (-14 - -2)/((-6)/4). Let x be 4 - (-4)/v*-8. What is the derivative of -3*b + b + 4*b - 8 + x*b wrt b?
2
Let h = -12 + 11. Let z be (h - -5)*(5 + -2). Differentiate 9 + z*l + 3*l**4 - 12*l wrt l.
12*l**3
Let r(z) be the first derivative of z**3/3 - 28*z**2 + 52*z + 74. Find the first derivative of r(d) wrt d.
2*d - 56
Let f(y) be the third derivative of 7/2*y**3 + 0*y + 31/210*y**7 + 0*y**4 + 0*y**6 + 15*y**2 + 0*y**5 + 0. What is the derivative of f(c) wrt c?
124*c**3
Let v(n) = -6580*n**2 - 9072*n. Let m(l) = 140*l**2 + 193*l. Let j(a) = 140*m(a) + 3*v(a). Find the second derivative of j(u) wrt u.
-280
Let i be 0/(-8 + 24/4). Let q(n) be the third derivative of 0*n + 1/6*n**5 - 8*n**2 + i + 1/3*n**3 + 0*n**4. Differentiate q(s) with respect to s.
20*s
Let n = -17 - -7. Let v be n/(-6)*(11 - 8). What is the second derivative of -6*y**4 + v*y + 2*y + 4*y**4 wrt y?
-24*y**2
Let v(z) be the third derivative of -25*z**8/21 - 31*z**5/30 - z**4/24 - 3*z**2 + 40*z. Find the third derivative of v(r) wrt r.
-24000*r**2
Let u(a) be the second derivative of -a**8/420 - 7*a**4/6 + 17*a**3/3 - 2*a. Let i(k) be the second derivative of u(k). Find the first derivative of i(g) wrt g.
-16*g**3
Let m(j) be the third derivative of 31*j**9/504 - j**7/105 - 83*j**5/60 + 5*j**2 - 2*j. What is the third derivative of m(p) wrt p?
3720*p**3 - 48*p
Let q = 20 + -32. Let p = -9 - q. What is the third derivative of p*g**2 + 2*g**2 - g**2 + 10*g**6 - 4*g**6 wrt g?
720*g**3
What is the third derivative of -166*w**4 + 166*w**4 - 70*w**5 - 6*w**2 + 1 - 1 wrt w?
-4200*w**2
Let o be (-8)/(-6)*(-15)/(-10). Find the second derivative of -2*u + 8*u**5 - 34*u**2 + 58*u**2 - 24*u**o wrt u.
160*u**3
Let j(i) = 343*i**3 - 61. Let m(g) = -344*g**3 - g**2 + 61. Let w(l) = 4*j(l) + 3*m(l). What is the third derivative of w(n) wrt n?
2040
Let y(c) = 2*c**3 - 36*c**2 - 6*c - 326. Let z(p) = -p**2 - 2*p - 1. Let o(a) = 2*y(a) - 6*z(a). What is the derivative of o(t) wrt t?
12*t**2 - 132*t
Find the third derivative of -141*q**2 + 177*q**4 - 132*q**2 + 272*q**2 wrt q.
4248*q
Let d(k) = -292*k**3 + 5*k**2 + 33*k + 2. Let r(x) = 290*x**3 - 4*x**2 - 31*x - 3. Let p(c) = 4*d(c) + 5*r(c). What is the second der