 derivative of -w**3/2 + w**2/2 + 8*w. Find the first derivative of s(j) wrt j.
-3
Let k(t) be the first derivative of -t**4/4 + 15*t**2/2 + 3. Find the second derivative of k(i) wrt i.
-6*i
Let h(v) be the second derivative of -11*v**6/6 + 13*v**2 + 5*v + 1. Find the first derivative of h(f) wrt f.
-220*f**3
Let m = -1 - -4. Suppose 3*k - b = 2*b - m, 5*b - 17 = 2*k. What is the third derivative of -4*u**2 + u**4 + 7*u**2 + 2*u**k wrt u?
72*u
Let y(k) be the first derivative of -7*k**2/2 + 6*k + 8. What is the derivative of y(r) wrt r?
-7
Let r be (-1)/(-2) + 70/28. Find the first derivative of -3 + c - c + r*c + 1 wrt c.
3
Let r(a) be the third derivative of a**7/280 + a**6/360 - a**3/2 + 3*a**2. Let h(b) be the first derivative of r(b). Find the third derivative of h(x) wrt x.
18
Let s(h) = h. Let a be s(2). Suppose 0 = -w + a*w - 5. What is the third derivative of -2*r**6 + 2*r**2 + 0*r**5 + 3*r**5 - 3*r**w wrt r?
-240*r**3
What is the third derivative of 0*a**3 + 32*a**4 + a**2 + 0*a**3 - 24*a**2 wrt a?
768*a
Let x be 11*(4 + (-12)/4). Find the first derivative of -10*h**3 + 2 - x + 7*h**3 wrt h.
-9*h**2
Let n(b) = b**2 + 3*b + 4. Let i(h) = -6*h**2 - 17*h - 23. Suppose -3*k - 84 = k. Let w = -13 + k. Let x(o) = w*n(o) - 6*i(o). Differentiate x(v) wrt v.
4*v
Let q(f) = f**5 - f**3 + f**2. Let u(s) = 35*s**5 + 3*s**3 - 3*s**2 - 38*s. Let p(a) = -3*q(a) - u(a). Find the second derivative of p(i) wrt i.
-760*i**3
What is the third derivative of 0*b**3 + 6*b**5 - 11*b**2 + 0*b**3 + 0*b**3 wrt b?
360*b**2
Let d(u) = -21*u - 30. Let h(k) = 106*k + 151. Let t(o) = -11*d(o) - 2*h(o). What is the derivative of t(b) wrt b?
19
Suppose -4*l + 0 = -8. Let v(f) be the first derivative of 1/3*f**3 + 2 - 1/6*f**6 + 0*f + 0*f**4 + 0*f**5 + 0*f**l. Find the third derivative of v(p) wrt p.
-60*p**2
Let p = -287/6 - -48. Let y(h) be the second derivative of 0*h**5 + 4*h + 0 + 1/10*h**6 + 0*h**4 + p*h**3 + 0*h**2. Find the second derivative of y(x) wrt x.
36*x**2
What is the third derivative of i**3 - 6*i**3 - i**2 - 3*i**2 wrt i?
-30
Let t(i) = 2*i**3 + i. Let k be t(1). Let u be k/1 + 0 + 3. What is the third derivative of -p**2 + 5*p**2 + 3*p**u - p**2 wrt p?
360*p**3
Let q(t) = -24*t**4 - 5*t**3 + 14*t**2 - 5. Let m(w) = -24*w**4 - 4*w**3 + 14*w**2 - 4. Let i(d) = 5*m(d) - 4*q(d). What is the third derivative of i(p) wrt p?
-576*p
Let g(i) = i**4 + i**3 + i**2 - 1. Let l(r) = -15*r**4 - 6*r**3 - 6*r**2 + r + 6. Let w(h) = -6*g(h) - l(h). What is the second derivative of w(p) wrt p?
108*p**2
Let z(j) = -2*j + 1. Let o be z(1). Let w = 1 - o. What is the second derivative of 4*u**2 + 2*u**2 - 2*u - 4*u**w wrt u?
4
Let z be -3 + (-2 - 1) + 10. Let j(o) be the second derivative of 0 - 1/20*o**5 + 0*o**z + 0*o**3 - 1/2*o**2 + o. Differentiate j(x) wrt x.
-3*x**2
Differentiate -6 + 12 - 10 - 21*w**3 with respect to w.
-63*w**2
Let u(x) be the first derivative of x**5/5 - 6*x**3 + 11. What is the third derivative of u(l) wrt l?
24*l
Let v(t) = -2*t**3 - 2*t + 3. Let b(o) = 38*o + o**3 - 39*o + 0*o**3. Let w(x) = 2*b(x) - v(x). Differentiate w(c) wrt c.
12*c**2
What is the second derivative of 193*d + 32*d**2 - 113*d - 105*d wrt d?
64
Let v(s) be the third derivative of 9*s**7/70 + s**6/60 + 8*s**5/15 - 2*s**2 + 3*s. What is the third derivative of v(g) wrt g?
648*g + 12
Let j(k) = k**2 - 6*k + 7. Let o be j(5). Suppose -4*g + 16 = 2*x, -6*g + 3*g = -4*x - 12. Find the second derivative of -o*b**2 + 0*b - 3*b + g*b wrt b.
-4
Suppose 4*i = i. What is the first derivative of 2*y**2 - y**2 + 0*y**2 + 2 + i wrt y?
2*y
Let l(x) be the second derivative of 17*x**6/30 + 11*x**3/3 + 21*x. What is the second derivative of l(g) wrt g?
204*g**2
Let p(h) be the first derivative of h**4/4 + h**3/3 - h**2 - 2. Let w be p(-2). What is the second derivative of f + f**5 + f + w*f wrt f?
20*f**3
Let m = 22 - 14. Find the first derivative of m*j**3 - 3*j**3 - 4 + 2 wrt j.
15*j**2
Let n(b) = b**2 + 4*b - 3. Let k be n(-5). Find the second derivative of -j**2 + 2*j - 5*j**k + 4*j**2 wrt j.
-4
Let f(m) be the second derivative of -m**2 + 1/2*m**3 + 0 - 3*m. Differentiate f(q) wrt q.
3
Let r(q) = 34*q**4 - 5*q**2 - 5*q - 20. Let h(l) = l**4 - l**2 - l + 1. Let k(j) = 5*h(j) - r(j). Find the first derivative of k(g) wrt g.
-116*g**3
Let z be (-4)/5*(-5)/2. What is the third derivative of 2*b**2 + b**6 - 5*b**2 + z*b**2 wrt b?
120*b**3
Let a(v) = -v**2 - 6*v + 2. Let t be a(-6). Suppose 4*z - 5*w = -17, 0 = -t*z + 5*w - w - 16. Differentiate -2*r - 1 - 3 + z + 4 with respect to r.
-2
Let z(k) be the first derivative of -3*k**8/560 + k**6/72 + 4*k**3/3 + 3. Let m(b) be the third derivative of z(b). What is the third derivative of m(w) wrt w?
-216*w
What is the third derivative of 0*p**5 - 2*p**5 - 9*p**2 + p**5 + 3*p**5 wrt p?
120*p**2
Let k(i) be the second derivative of 7/20*i**5 + 0*i**2 + 7/6*i**3 + 0 + 0*i**4 + i. Find the second derivative of k(n) wrt n.
42*n
Suppose 4*z = 9*z - 20. Let w(o) be the second derivative of 0*o**3 + 0 + 0*o**2 + 1/6*o**z - 1/10*o**5 + 2*o. Find the third derivative of w(a) wrt a.
-12
Let q be (3 - 5)*(-2)/(-4). Let b = 10 - q. Let m(h) = 10*h + 6. Let i(d) = 2*d + 1. Let j(t) = b*i(t) - 2*m(t). What is the first derivative of j(x) wrt x?
2
Let p(m) = m**2 + 7*m. Let g(z) = -4*z. Let f be (3/4)/((-4)/(-16)). Let b(j) = f*p(j) + 5*g(j). What is the second derivative of b(c) wrt c?
6
Let s(i) be the first derivative of -6*i**7/7 - 5*i**3/3 - 5. What is the third derivative of s(b) wrt b?
-720*b**3
Let h be (9/(-6))/((-6)/8). Let c(p) be the second derivative of 0*p**2 + 0 + 1/3*p**4 - h*p - 1/2*p**3. Find the second derivative of c(y) wrt y.
8
Let w(y) = 15*y + 18. Let k(p) = 22*p + 27. Let l(c) = 5*k(c) - 7*w(c). Find the first derivative of l(m) wrt m.
5
Suppose 6*l = 3*l + 21. Find the second derivative of -5*o + l*o**5 - 4*o**5 - 2*o**5 wrt o.
20*o**3
Let u(h) be the first derivative of 0*h**2 - 1/4*h**4 + 1 + 0*h - 2/3*h**3. Find the third derivative of u(s) wrt s.
-6
Find the second derivative of -2*d**3 + d**3 - 206*d + 273*d + 29*d**5 wrt d.
580*d**3 - 6*d
Let q(p) = -p**4 + p**3 + p - 1. Let z(a) = -9*a**4 + 2*a**3 - 2*a - 2. Let c(n) = 2*q(n) - z(n). Find the second derivative of c(d) wrt d.
84*d**2
Let a(z) = -z**2 - 6*z + 8. Let b be a(-6). Let w = b - 5. What is the derivative of 4 - 3 + w*v**2 - 4*v**2 wrt v?
-2*v
Let q(m) be the second derivative of -11*m**5/10 + 3*m**2/2 + 6*m. What is the first derivative of q(d) wrt d?
-66*d**2
Let w = 0 + 3. Find the third derivative of 5*m**4 + m**2 - w*m**4 - m**4 + 0*m**4 wrt m.
24*m
Let q(o) = -27*o - 38. Let u(x) = -56*x - 77. Let k(w) = 13*q(w) - 6*u(w). What is the derivative of k(l) wrt l?
-15
Suppose 3*j = 3*o + 12, 0*o = -4*j - 5*o + 7. Let q be 2 - (-2 + (j - 2)). Find the second derivative of -l - 2*l**3 + 3*l**q + 5*l**3 - 5*l**3 wrt l.
6*l
Let h(m) be the third derivative of m**9/168 + 7*m**5/60 + 7*m**2. What is the third derivative of h(j) wrt j?
360*j**3
What is the third derivative of q**2 + 23*q**6 + 8*q**2 - 6*q**2 wrt q?
2760*q**3
Suppose 4*g - g = 0. Differentiate 0*u + g + 0 - 1 - 2*u wrt u.
-2
Suppose -2*n + 16 = p + 2, -28 = -4*n - 3*p. Suppose n*f - 8 = 3*f. What is the second derivative of f*w - 2*w**4 - 4 + 4 wrt w?
-24*w**2
Let h = -13 + 7. Let v = h - -10. Find the first derivative of 2 + 2*w**v - 5*w**4 - 4 wrt w.
-12*w**3
Let i = 6 + -4. Find the third derivative of i + 3*c**5 - 2 - 2*c**2 + c**2 wrt c.
180*c**2
Suppose -2*b - 2 = 4, -2*g + 5*b + 21 = 0. What is the third derivative of -10*i**4 - g*i**2 + 4*i**4 - i**3 + i**3 wrt i?
-144*i
Let f(u) be the second derivative of u**6/30 + 4*u**3/3 - 5*u**2/2 + 8*u. Let i(v) be the first derivative of f(v). Find the first derivative of i(z) wrt z.
12*z**2
Suppose -5*h - 10 + 20 = 0. Let r(y) be the third derivative of 1/30*y**5 + 0*y**3 + 0 - 1/12*y**4 + h*y**2 + 0*y. What is the second derivative of r(j) wrt j?
4
Let d(n) = n + 2. Let x be d(0). Suppose -6*v = v - 7. What is the first derivative of -x*p + 0*p + v + 0 wrt p?
-2
Let v(c) be the second derivative of 0*c**6 + 0 + 0*c**2 + 0*c**5 + 1/21*c**7 + c + 0*c**4 - 1/3*c**3. What is the second derivative of v(m) wrt m?
40*m**3
Suppose -v = 2, -6*o + 2*o = -4*v + 16. Le