q
Let f(t) be the first derivative of 17*t**6/3 - 14*t**2 - 13. Find the second derivative of f(i) wrt i.
680*i**3
What is the second derivative of 5*a - 13*a**2 + 8*a**2 + 2*a wrt a?
-10
Suppose 0 = -2*p + 3 + 1. Let v(g) = g**2 - 2. Let l be v(p). Differentiate -2 - u**2 - l*u**2 + 5*u**2 wrt u.
4*u
Let o(f) = -21*f**5 + 4*f**4 + f**2 - 4*f. Let d(q) = -43*q**5 + 9*q**4 + 3*q**2 - 9*q. Let u(y) = 4*d(y) - 9*o(y). Find the third derivative of u(k) wrt k.
1020*k**2
Let b(q) be the third derivative of 11*q**4/24 + 2*q**3 + 16*q**2. Differentiate b(o) wrt o.
11
Suppose 3*m - 3*v - 35 = -14, -m + 2*v + 11 = 0. Suppose -m*j = -0*j - 6. What is the third derivative of 2*p**5 - p**2 - j*p**2 + 2*p**5 wrt p?
240*p**2
Let l be (-4)/6 + (-126)/(-27). What is the third derivative of l*p**2 - 4*p**3 + 3*p**3 + 4*p**6 + p**3 wrt p?
480*p**3
Let q(m) be the third derivative of 1/42*m**7 + 0*m - 3/2*m**3 + 0 + 0*m**6 + 0*m**5 + 0*m**4 + 8*m**2. Differentiate q(b) with respect to b.
20*b**3
Let a = 0 - -7. Find the third derivative of 38*z**4 - 38*z**4 - 6*z**2 - a*z**5 wrt z.
-420*z**2
Let w = 9 + -7. Let q be ((-1)/2)/((-1)/6). Differentiate r**q - 1 + 1 - w - 4*r**3 wrt r.
-9*r**2
Let j = -11 - -14. Differentiate -3 + j*f**4 - 2*f**4 - 1 - 2 with respect to f.
4*f**3
Let x(j) be the third derivative of 0*j + 0 + 0*j**4 + 0*j**5 - 2*j**2 + 1/70*j**7 + 1/2*j**3 + 0*j**6. What is the first derivative of x(n) wrt n?
12*n**3
Suppose -3 + 7 = 5*d + h, 4*d = -3*h + 12. Find the second derivative of y + d*y + 2*y**2 - 4*y**2 wrt y.
-4
What is the derivative of 22*t - 24*t - 63 + t wrt t?
-1
Let g(s) = s**2. Let i(p) = -3*p**3 - 2*p**2 + 4*p. Let n(d) = 2*g(d) + i(d). Find the second derivative of n(a) wrt a.
-18*a
Let p(a) be the second derivative of 8*a**4/3 + 15*a**3/2 - a**2/2 - 40*a. What is the second derivative of p(s) wrt s?
64
Let s(k) = -k**3 + 4*k**2 + 5*k + 3. Let m be -3 + (-1 - 1 - -10). Let n be s(m). Find the second derivative of 0*l**n + 2*l + 5*l**3 - 4*l**3 + 3*l**3 wrt l.
24*l
Let p(j) be the second derivative of 3*j**7/280 - j**6/90 - 4*j**3/3 + 8*j. Let f(l) be the second derivative of p(l). Find the third derivative of f(h) wrt h.
54
Let v(x) = -2*x + 2*x + x - x**2. Let n be v(1). What is the first derivative of c**3 + 1 + n*c**3 + 0 wrt c?
3*c**2
Suppose 5*j = -0*c + c + 11, -2*c = 4*j - 6. Suppose -j*p - 4*f + 8 = 0, -9 = -4*p - f - 0*f. Find the second derivative of 2*s**p - s**2 - 3*s + s wrt s.
2
Let a(n) be the second derivative of n**4/24 - 7*n**3/6 - 3*n**2 - 6*n. Let y(v) be the first derivative of a(v). Differentiate y(d) wrt d.
1
Suppose 0 = 2*j + 3*f - 13 + 4, 4*j + 32 = 4*f. Let v be (-10)/j + 2/(-6). What is the derivative of -4*l**v - 3 + 2 + l**3 wrt l?
-9*l**2
Suppose -3*d - 3 = -12, 5*f - 2*d - 144 = 0. Find the second derivative of -6*o + 4*o**4 - 30*o**2 + 4*o + f*o**2 wrt o.
48*o**2
Let j(d) be the first derivative of 5*d**9/504 + d**5/20 + d**2 + 2. Let y(b) be the second derivative of j(b). Find the third derivative of y(q) wrt q.
600*q**3
Let z(h) be the second derivative of 13*h**6/30 - h**4 - 14*h. Find the third derivative of z(m) wrt m.
312*m
Let n(y) = y - 12. Let w be n(12). Find the first derivative of -3 + w - 11*x + 5*x wrt x.
-6
What is the third derivative of -226*m + 6*m**5 + 226*m - 6*m**2 wrt m?
360*m**2
Suppose 3*p + 2*j - 17 = 0, 4*p + 0*j - 24 = -3*j. What is the second derivative of -4*w + 4*w + w - 2*w + p*w**4 wrt w?
36*w**2
Let s(y) be the second derivative of 3*y**6/5 + 3*y**3 - 23*y. Find the second derivative of s(j) wrt j.
216*j**2
Let k(l) be the first derivative of -1 - 3*l + 0*l**3 + 1/2*l**4 + 0*l**2. Differentiate k(m) with respect to m.
6*m**2
Let p be 15/4*48/9. Suppose -2*h - 3*h + p = 0. What is the second derivative of -f + 3*f**h - f + 6*f - 3*f wrt f?
36*f**2
Let g = -6 - -10. Suppose t + g = s - 0, 3*t = -5*s + 20. What is the third derivative of 0*c**2 - 3*c**2 + s*c**2 + 2*c**5 wrt c?
120*c**2
Let m(i) = -i**2 + 11*i + 4. Let f be m(11). Let c(w) = -5. Let a(y) = y + 11. Let s(p) = f*a(p) + 9*c(p). Find the first derivative of s(l) wrt l.
4
Suppose 3*p - 4 = -3*u - 10, 4*p + 3*u = -3. Let h be (-34)/(-8) + 9/12. Find the third derivative of p*b**5 - 3*b**2 - 3*b**5 - b**h wrt b.
-60*b**2
Differentiate -8 - 8 + 6*t**4 + 8*t**4 + 5 wrt t.
56*t**3
Let y(c) be the second derivative of 0*c**5 - 1/21*c**7 + 0 + 0*c**2 - c + 0*c**6 - 1/6*c**4 + 0*c**3. What is the third derivative of y(m) wrt m?
-120*m**2
Let l(t) be the first derivative of 3*t**5/20 - t**3/3 - 3*t - 5. Let y(z) be the first derivative of l(z). What is the second derivative of y(b) wrt b?
18*b
Let b(x) = x**2 + x + 1. Let a(i) = 2*i - 2 + 4 + 2. Let r(k) = -a(k) + 4*b(k). What is the second derivative of r(c) wrt c?
8
Let f(v) be the first derivative of 5*v**4/2 + 4*v - 34. What is the first derivative of f(n) wrt n?
30*n**2
Find the third derivative of 9*t**3 - 3*t**3 + 9*t**2 - 6*t**3 - 32*t**4 wrt t.
-768*t
Let c(u) = u**3 - u**2 + u + 8. Let d be c(0). Let o(r) = 2*r - 11. Let g be o(d). What is the first derivative of -s - s - 4*s - 3 + g*s wrt s?
-1
Let y(t) = -t**2 + 7*t - 7. Let q be y(6). Let w be 28/10 - q/5. Find the third derivative of -w*i**6 - 3*i**2 - 2*i**3 + 0*i**6 + 2*i**3 wrt i.
-360*i**3
Let n(y) = y**5 + 17*y**2 + 5*y - 5. Let i(o) = o**5 + 18*o**2 + 6*o - 6. Let z(d) = 5*i(d) - 6*n(d). What is the third derivative of z(s) wrt s?
-60*s**2
Let o = -10 - -13. What is the third derivative of -35*m**o + 35*m**3 - 4*m**2 - 5*m**5 wrt m?
-300*m**2
Let k(c) be the third derivative of c**9/84 - 7*c**5/60 - 7*c**2. What is the third derivative of k(u) wrt u?
720*u**3
Find the first derivative of -28 + 11 + 4*u + 15 wrt u.
4
Let l(w) be the third derivative of -w**7/1008 + w**6/180 + w**5/15 + w**2. Let g(h) be the third derivative of l(h). Find the first derivative of g(f) wrt f.
-5
Let v = 2 + 1. What is the first derivative of 0 + 5 + w**2 + 3*w**2 - v*w**2 wrt w?
2*w
Let y(x) be the first derivative of -7*x**5/5 - 2*x**2 + 6. What is the second derivative of y(b) wrt b?
-84*b**2
Let c be (-18)/(-6)*(-2)/(-6). What is the third derivative of -c - 2*i**2 + 1 - i**5 wrt i?
-60*i**2
Let i(x) = x**3 + 5*x**2 - 7*x - 9. Let r be i(-6). Let q be (r/6)/(3/(-30)). Find the second derivative of -a - 3*a**5 + 0*a + a**5 + q*a**5 wrt a.
60*a**3
Let i(w) = -1. Let r(s) = -s - 4. Let o = -4 + 10. Let u = -5 + o. Let y(b) = u*r(b) - 5*i(b). What is the first derivative of y(g) wrt g?
-1
Suppose j + 7 = -2*l, -5*l + l - 18 = -2*j. Find the first derivative of j - 2*z**3 - 18*z + 18*z wrt z.
-6*z**2
Let d = -56 + -17. Let g = -42 - d. What is the second derivative of -g*k**2 + 32*k**2 - 2*k + k wrt k?
2
Find the second derivative of n**5 - 40*n**2 - 4*n**5 + 8*n + 40*n**2 wrt n.
-60*n**3
Let h(b) = -2*b**4 + 2 - 2*b**6 - b**3 + b**3 + 3*b**2. Let c(d) = -d**4 + 1. Let t(g) = -2*c(g) + h(g). Find the third derivative of t(x) wrt x.
-240*x**3
Suppose 5*t + 1 = 11. What is the second derivative of -t*c**3 - 2*c**2 - 2*c + 2*c**2 + c wrt c?
-12*c
Let m(s) be the first derivative of -2*s**6 - 5*s**2/2 - 23. What is the second derivative of m(v) wrt v?
-240*v**3
Let l(j) be the third derivative of j**5/60 - 35*j**4/24 + 8*j**3/3 - j**2 + j. What is the first derivative of l(f) wrt f?
2*f - 35
Let q(t) = 1 + 8*t + 5 - 5. Let d(x) = 15*x + 1. Let k(o) = 3*d(o) - 5*q(o). What is the first derivative of k(f) wrt f?
5
Let j(n) = 91*n + 63. Let y(x) = -10*x - 7. Let l(o) = -3*j(o) - 28*y(o). What is the first derivative of l(b) wrt b?
7
Let p(q) = -2*q**3 - q - 3. Let y(o) = -5*o**3 - 2*o - 7. Let d = -4 - -3. Let t = 2 - d. Let m(v) = t*y(v) - 7*p(v). Find the second derivative of m(h) wrt h.
-6*h
Let h(t) be the second derivative of t**7/21 - t**3/6 - 6*t. Find the second derivative of h(s) wrt s.
40*s**3
Let w(t) be the second derivative of t**9/756 - t**6/120 - t**3/6 - t. Let k(x) be the second derivative of w(x). Find the third derivative of k(g) wrt g.
240*g**2
Find the third derivative of l**6 - 2*l**2 + 8*l**6 + l**2 - 3*l**2 wrt l.
1080*l**3
Let u(y) be the first derivative of -2*y**3 - 9*y + 6. What is the derivative of u(n) wrt n?
-12*n
Let z be ((-1)/(-3))/(3/9). Suppose 5*j = a - 4 + z, 3*a - 9 = 5*j. What is the