- 5*y**5 + 4*y**5 wrt y.
-20*y**3
Let w(o) be the second derivative of 53*o**6/30 - 41*o**4/12 - 17*o + 2. What is the third derivative of w(p) wrt p?
1272*p
Let r(b) = -9*b**3 + 82*b**2 + 13*b. Let c(x) = -4*x**3 + 41*x**2 + 6*x. Let i(n) = 13*c(n) - 6*r(n). Find the third derivative of i(p) wrt p.
12
Let k(p) be the second derivative of p**8/336 + p**5/30 + p**2 + 2*p. Let a(y) be the first derivative of k(y). What is the third derivative of a(q) wrt q?
60*q**2
Let d = 8 + -4. Differentiate -5 + 3 + d + 4*q**4 - 2*q**4 wrt q.
8*q**3
What is the third derivative of 0*i**4 - 3*i**4 + 3*i**2 - 7*i**2 - 4*i**2 wrt i?
-72*i
What is the derivative of 4*z**3 - 4 + 10*z - 10*z wrt z?
12*z**2
Let l(g) = g**3 - 4*g**2 + 5*g - 4. Let m be l(3). What is the third derivative of 3*v**m + v**3 + v**3 + v**3 wrt v?
18
Let f = -18 + 12. Let z(c) = c**3 + 6*c**2 + c + 8. Let h be z(f). Find the second derivative of -x - x - h*x**4 + 3*x wrt x.
-24*x**2
Let j(s) = 23*s**3 + 32*s**2 - 2*s + 2. Let x(q) = q - 1. Let r(l) = -j(l) - 2*x(l). What is the third derivative of r(t) wrt t?
-138
Suppose -7 + 17 = 2*w. Find the third derivative of q**5 + 0*q**2 - q**2 - q**2 + 3*q**w wrt q.
240*q**2
Let y(q) be the second derivative of -4*q**7/21 - 13*q**3/6 + 18*q. Find the second derivative of y(x) wrt x.
-160*x**3
Let c(l) be the first derivative of -2*l**7 + l**7 + 4 - 81*l**3 + 83*l**3. Find the third derivative of c(p) wrt p.
-840*p**3
Let g(d) = d**2 + 10*d + 10. Let y be g(-9). What is the derivative of -5 + y + 3 - 6*u + 8 wrt u?
-6
Let b(f) be the second derivative of f**10/2520 + f**6/90 - f**3/2 - 4*f. Let z(n) be the second derivative of b(n). Find the third derivative of z(r) wrt r.
240*r**3
Let c(j) = j - 4. Let y be c(8). What is the second derivative of 5*v - y*v + 0*v - 5*v - 6*v**2 wrt v?
-12
Let d(n) = -n + 8. Let r be d(6). What is the first derivative of -r*x + 0*x - 3 + x - 1 wrt x?
-1
Let s(v) = -3*v**4 - 2*v**2 + 2*v - 4. Let p(y) = -4*y**4 - 3*y**2 + 3*y - 3. Let q(b) = -2*p(b) + 3*s(b). What is the derivative of q(r) wrt r?
-4*r**3
Let m(r) = -r - 6. Let a be m(0). Let s be (-6)/a*3*1. Find the second derivative of -s*n**5 + 4*n + 3*n**5 + 0*n - n**5 wrt n.
-20*n**3
Let x(i) = i**2 + 1. Let c(b) = 15*b**2 + 6. Let r(q) = c(q) - 2*x(q). Find the first derivative of r(v) wrt v.
26*v
Find the first derivative of -4766*k**2 - 48 - 29*k**4 + 4766*k**2 wrt k.
-116*k**3
Let b(i) = -i**3 - 3*i**2 + 5*i + 6. Let f be b(-4). Differentiate -3*j**4 + 3*j**4 + f*j**4 - 3 - j**4 wrt j.
4*j**3
Let f(g) = -g**2 - 7*g - 5. Let r be f(-5). What is the third derivative of 3*x**2 - r*x**2 + x**3 + 4*x**2 + 0*x**3 wrt x?
6
Suppose -5 = -4*i + 11. What is the second derivative of -2*w**4 + i*w**4 - 3*w - 3*w**4 wrt w?
-12*w**2
Differentiate -8 + 12 - 4*v**2 + 7 - 12*v**2 with respect to v.
-32*v
Let m(n) be the first derivative of -3 + 0*n + 5/6*n**6 + 0*n**3 + 3*n**2 + 0*n**5 + 0*n**4. What is the second derivative of m(q) wrt q?
100*q**3
Let z = 10 - 7. Find the second derivative of z*v**3 + v**3 - 3*v**3 - 4*v + 3*v**3 wrt v.
24*v
Let z(x) be the second derivative of x**3/3 + 3*x**2/2 + 2*x. Find the first derivative of z(q) wrt q.
2
Suppose -4*j - 1 + 21 = 0. Find the second derivative of -2*h + 6*h**3 + 4*h**j - 6*h**3 wrt h.
80*h**3
Differentiate -44*k + 26*k + 22*k + 4 with respect to k.
4
Let y(t) = -4*t**5 - 2*t**4 + 5*t - 2. Let x(u) = -u**4 - 1. Suppose -2 = 2*q - 6. Let s(p) = q*x(p) - y(p). Find the second derivative of s(v) wrt v.
80*v**3
Suppose -h + 15 = 4*h + f, 5*f = 2*h - 33. What is the third derivative of -2*d**4 + 2*d**2 + d**4 - h*d**4 wrt d?
-120*d
Let g(s) = -s**2 + 5*s. Let j be g(6). Let q = j - -11. What is the second derivative of q*b - 4*b + 0*b + 2*b**2 wrt b?
4
Suppose -3*u + 4*u - 17 = -3*q, 0 = -2*u + 4*q + 34. Differentiate -2*o**2 - u + 18 + 3*o**2 wrt o.
2*o
Let m(n) be the second derivative of n**9/7560 + n**6/720 + n**4/4 - 3*n. Let i(d) be the third derivative of m(d). Find the second derivative of i(v) wrt v.
24*v**2
What is the derivative of 12*p**2 - 9*p**2 - 6*p**2 - 5 wrt p?
-6*p
Let m(t) be the third derivative of -1/24*t**4 + 0 + 0*t**6 + 0*t + 0*t**3 + 0*t**5 + 6*t**2 + 1/42*t**7. What is the second derivative of m(i) wrt i?
60*i**2
Suppose -3 + 15 = 3*g. Differentiate l**2 - l**2 + 0*l**4 + 2 + 2*l**g with respect to l.
8*l**3
Let c(v) be the second derivative of -13*v**4/6 + v**3 - 3*v. Let y(q) = 5*q**2 - q. Let r(g) = -3*c(g) - 16*y(g). What is the second derivative of r(u) wrt u?
-4
Suppose -v = 5*z - 8, z + 4*z - 4*v = -7. Let f be -3*(-7)/3 - z. What is the first derivative of f - 5 + 1 - 3*q**2 wrt q?
-6*q
Let x(k) be the first derivative of 0*k + 0*k**3 - 3 - k**4 + 1/2*k**2. Find the second derivative of x(t) wrt t.
-24*t
Let v(c) be the second derivative of -c**6/15 - 3*c**3 - 3*c. What is the second derivative of v(k) wrt k?
-24*k**2
Let b(t) be the third derivative of 2*t**7/105 - t**6/120 + t**5/30 - 5*t**3/2 + 8*t**2. Find the third derivative of b(a) wrt a.
96*a - 6
Let t(c) be the third derivative of c**5/20 + c**3/6 - 4*c**2. Differentiate t(l) with respect to l.
6*l
Suppose 2*s + v - 24 = -3*v, -s = 4*v - 18. Let l = s - 1. What is the third derivative of 2*j**6 - 3*j**2 + l*j**6 - 4*j**6 wrt j?
360*j**3
Let i(z) = 10*z**3 + 4*z**2 - 14*z. Let s(f) = 2*f**3 + f**2 - 3*f. Let v = 2 - 5. Let d(u) = v*i(u) + 14*s(u). What is the third derivative of d(r) wrt r?
-12
What is the derivative of -91 + 218 - 103 - 31*i**4 wrt i?
-124*i**3
Let i(z) = z**3 - 5*z**2 + 6*z - 5. Let q be i(4). Find the first derivative of 190*m**2 - 6 - 190*m**2 - q*m**4 wrt m.
-12*m**3
Let j(x) = -x**4 + x**3 + x**2. Let w(z) = 2*z**4 + 6*z**3 + 8*z**2. Let r(k) = -6*j(k) + w(k). Find the third derivative of r(o) wrt o.
192*o
Let y(t) = -46*t**4 - 46*t**2 - 5. Let p(b) = 47*b**4 + 45*b**2 + 4. Let l(i) = 5*p(i) + 4*y(i). Find the third derivative of l(n) wrt n.
1224*n
What is the second derivative of -15*m**5 + 13*m**5 + 7*m - 2*m wrt m?
-40*m**3
Find the second derivative of -5*v**5 + 169*v + 3*v**4 - 179*v - 3*v**4 wrt v.
-100*v**3
Let w(q) be the first derivative of 51*q**5/5 - 37*q + 38. Differentiate w(u) wrt u.
204*u**3
Let m = -7 - -5. Let r be 2*((-3)/m)/1. Find the third derivative of 3*o**2 - 4*o**r + 4*o**3 - 2*o**2 - o**3 wrt o.
-6
Let x(w) = w**4 - 14 + 3*w**4 - 22 + 16*w + 16*w**3. Let p(h) = -h**4 - 3*h**3 - 3*h + 7. Let s(c) = 16*p(c) + 3*x(c). What is the derivative of s(y) wrt y?
-16*y**3
Let w(m) = -m**2 - 10*m - 7. Let k be w(-9). Find the second derivative of -k*s**3 + 4*s - 3*s + 2*s wrt s.
-12*s
Let r(w) be the first derivative of 0*w**2 + 1 + 0*w**5 + 0*w**6 + 0*w - 1/7*w**7 - 5/3*w**3 + 0*w**4. What is the third derivative of r(k) wrt k?
-120*k**3
Suppose 50 = 6*y - y. What is the first derivative of 2*u - 5 + y*u - 3*u wrt u?
9
Let t(l) be the second derivative of l**10/5040 + l**6/120 - l**3/6 - 2*l. Let j(c) be the second derivative of t(c). Find the third derivative of j(a) wrt a.
120*a**3
Let c(x) be the third derivative of -x**8/84 - x**4/4 - 3*x**2. Find the second derivative of c(r) wrt r.
-80*r**3
Let u(c) = 10*c**3 + 1 + 1 - 9*c**4 - 3*c**4. Let x(k) = k**4 - k**3. Let z(b) = -u(b) - 10*x(b). What is the derivative of z(n) wrt n?
8*n**3
Let u(r) be the first derivative of r**6/6 + r**3/2 - r + 7. Let t(z) be the first derivative of u(z). What is the second derivative of t(b) wrt b?
60*b**2
Find the third derivative of 0*m + 106*m**2 - 56*m**5 + 0*m - 48*m**2 wrt m.
-3360*m**2
Suppose a - 16 = -2. What is the second derivative of -6*w**5 + 7*w + w**5 - a*w wrt w?
-100*w**3
Let u(h) be the third derivative of -2*h**2 - 1/60*h**6 + 0 - 1/30*h**5 + 0*h + 0*h**3 + 0*h**4. Find the third derivative of u(p) wrt p.
-12
Find the third derivative of 4*l**2 + 6*l**2 + 27 + 2*l**3 - 27 wrt l.
12
Let i(b) = -3 + b**4 + 2*b - 6*b**4 - 3 + 2*b. Let p(g) = -11*g**4 + 9*g - 13. Let k(y) = 9*i(y) - 4*p(y). What is the first derivative of k(f) wrt f?
-4*f**3
What is the third derivative of 245*d**3 - 12*d - 483*d**3 - 13*d + 286*d**3 - d**2 wrt d?
288
Let p(l) = -l**2 - 8*l + 3. Let f be p(-8). Suppose 4*n + 40 = 5*s, -5*s + 2*n = 7*n + 5. What is the derivative of -2 + f*v**4 + 0*v**4 - 2*v**s wrt v?
4*v**3
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