(a) wrt a?
-3360*a**3
Let o(p) be the third derivative of -19*p**4/12 - 359*p**3/6 - 219*p**2. What is the first derivative of o(v) wrt v?
-38
Let a = -19 - -21. What is the third derivative of -27*b**4 - 2703 + 12*b**a + 2703 wrt b?
-648*b
Suppose -15 = -10*z - 65. Let g(i) = -3*i - 15. Let s(a) = 4*a + 14. Let j(m) = z*g(m) - 6*s(m). Find the first derivative of j(b) wrt b.
-9
Let k(m) = -m + 6. Let l be k(-6). Let s = 12 - l. Find the third derivative of -13*b**2 + s*b**5 + 0*b**5 + 12*b**2 - 8*b**6 wrt b.
-960*b**3
What is the first derivative of 42 - 1398*s**2 - 65*s**4 + 1398*s**2 wrt s?
-260*s**3
Let w(d) be the first derivative of 9 + 0*d**3 + 9/5*d**5 - 9/2*d**2 + 0*d + 0*d**4. Find the second derivative of w(y) wrt y.
108*y**2
Let b(x) = 3*x**2 - x. Let v be b(-1). Let t = 6 - v. Differentiate 8 - a**2 + 4*a**3 + 2*a**2 - a**t with respect to a.
12*a**2
Let v(u) be the first derivative of 0*u**2 - 4/5*u**5 + 7 + 0*u**3 + 0*u**4 - 2*u. Find the first derivative of v(n) wrt n.
-16*n**3
Let u(x) be the third derivative of -19*x**6/40 - x**5/30 + 85*x**4/8 - 217*x**2. What is the second derivative of u(d) wrt d?
-342*d - 4
Let i(s) be the third derivative of -1/3*s**3 + 0*s**5 + 0*s + 0*s**4 - 8*s**2 + 0 + 1/20*s**6. Differentiate i(l) wrt l.
18*l**2
Let u be -1 - (1 - (4 - -2)). Let k be (45/(-10) + 5)*(3 + 5). Find the third derivative of 2*l**k - 3*l**4 - 2*l**2 - 6*l**4 - 2*l**u wrt l.
-216*l
Find the third derivative of -11*w**3 - 24*w**3 + 4*w**2 - 27*w**3 - 5*w wrt w.
-372
Let s(r) be the third derivative of 0*r**5 + 0*r**4 + 1/10*r**6 + 0 + 14/3*r**3 + 0*r + 25*r**2. What is the first derivative of s(a) wrt a?
36*a**2
Let b(w) be the second derivative of 0 - 3*w**2 - 2*w - 19/6*w**3. What is the derivative of b(i) wrt i?
-19
Let d(w) be the second derivative of -3*w**7/280 + w**5/120 + 5*w**4/3 - 24*w. Let n(q) be the third derivative of d(q). Differentiate n(s) with respect to s.
-54*s
Let k(j) be the second derivative of 17*j**6/60 - 7*j**4/12 + 12*j**2 - j. Let m(a) be the first derivative of k(a). Find the second derivative of m(v) wrt v.
204*v
Find the second derivative of -8*a**2 + 16*a**2 + 122*a**4 - 6 - 10*a**2 - a wrt a.
1464*a**2 - 4
Let v(o) be the first derivative of 0*o**3 + 26 + 0*o + 13/5*o**5 + 39/2*o**2 + 0*o**4. Find the second derivative of v(d) wrt d.
156*d**2
Let j(n) = -18*n**3 - 2*n + 19. Let v(t) = 8*t**2 + 3*t + 2*t**2 + 19*t**3 - 20 - 10*t**2. Let d(g) = 3*j(g) + 2*v(g). Differentiate d(q) wrt q.
-48*q**2
Let f(a) be the first derivative of 84*a**5/5 - 19*a**2/2 + 3*a + 70. Find the second derivative of f(v) wrt v.
1008*v**2
Suppose -2*p - 19 = 35. Let q = p + 24. Let f(k) = -8*k + 7. Let c(h) = -8*h + 6. Let d(b) = q*f(b) + 4*c(b). Differentiate d(s) wrt s.
-8
Let n(z) = -349*z**4 + 6*z**2 - 310*z - 3. Let c(l) = 348*l**4 - 8*l**2 + 309*l + 4. Let w(u) = 3*c(u) + 4*n(u). What is the second derivative of w(o) wrt o?
-4224*o**2
Let i(d) be the first derivative of -69*d**6/2 - 28*d**3 + d**2 - 220. Find the third derivative of i(u) wrt u.
-12420*u**2
Let y(w) be the third derivative of 0*w**3 + 3/4*w**4 - 9*w**2 + 0 + 0*w + 3/20*w**5. What is the second derivative of y(i) wrt i?
18
Let x be (2/4)/((-2)/(-20)). Suppose x*i - 18 + 3 = 0. What is the second derivative of 4*t**3 - 6*t + 3*t - 3*t**i wrt t?
6*t
Let k(j) be the third derivative of 1/112*j**8 + 0 + 0*j**5 + 0*j**3 - 12*j**2 + 0*j + 1/4*j**4 + 0*j**7 + 0*j**6. Find the second derivative of k(b) wrt b.
60*b**3
Let c be -32*(-1 - (-1)/2). Let a = c + -7. Find the third derivative of -5 - a*i**5 + 4*i**2 + 5 + 4*i**5 wrt i.
-300*i**2
Let s(x) = -90*x**3 + 10*x**2 + 5*x - 55. Let u(g) = -89*g**3 + 8*g**2 + 4*g - 54. Let w(y) = -4*s(y) + 5*u(y). Differentiate w(b) with respect to b.
-255*b**2
Let a(f) be the second derivative of -f**6/15 - 12*f**5/5 + 32*f**3/3 + f**2 - 117*f. What is the second derivative of a(n) wrt n?
-24*n**2 - 288*n
Let n(y) be the first derivative of -68*y**5/5 + y**3/3 + 29*y**2 + 2*y - 439. What is the second derivative of n(w) wrt w?
-816*w**2 + 2
What is the first derivative of -229 + 3*z**3 - 179 + 75*z**3 + 265 wrt z?
234*z**2
Let z(h) = 44*h**4 + 4*h**3 - 8*h**2 + 10*h - 261. Let j(v) = 43*v**4 + 5*v**3 - 10*v**2 + 11*v - 260. Let u(n) = 4*j(n) - 5*z(n). Differentiate u(l) wrt l.
-192*l**3 - 6
Find the second derivative of -119*g**5 - 98*g**2 + 19 - 2*g - 96*g**2 + 194*g**2 wrt g.
-2380*g**3
Suppose -2*k = -4*x + 4, 0 = -4*k + x - 0 - 8. Let i be (-5)/k + (-6)/12. Find the first derivative of -n**i + 2*n - 5 + 0*n - 2*n wrt n.
-2*n
Let m(f) be the first derivative of f**6/3 + f**4/2 - 55*f**2/2 - 602. Find the second derivative of m(u) wrt u.
40*u**3 + 12*u
Let n = -27 - -27. Differentiate 31 + 9*l**3 + 4*l**3 - 6*l**3 + n*l**3 wrt l.
21*l**2
Let l be (24/9)/(4/6). Find the second derivative of 6*h + 9*h - 29*h**4 + 28*h**l wrt h.
-12*h**2
Let r(w) = w**3 - 9*w**2 + 2*w - 12. Let y be r(9). What is the third derivative of -2*u**2 - 3*u**5 + 3*u**2 + 6*u**2 - y*u**5 wrt u?
-540*u**2
What is the first derivative of -12424 - 91*b**4 - 2*b + 12347 + 17*b**4 + 2*b wrt b?
-296*b**3
Let i(a) be the second derivative of a**6/3 + 8*a**3 + 4*a - 3. What is the second derivative of i(s) wrt s?
120*s**2
Find the second derivative of 6*u**2 - 27*u - 19*u + 58*u - 33*u - 3 - u**3 wrt u.
-6*u + 12
Let h(d) be the second derivative of 363*d**5/20 - 111*d**2 - 173*d. Differentiate h(i) with respect to i.
1089*i**2
Suppose 4*c = 3*m - 26, 4*m = 3*c - c + 18. Suppose -10 - m = -4*k. What is the second derivative of -3*a**2 - 3*a + k*a**2 + 2*a**3 wrt a?
12*a
Let c(u) = -66*u**4 + 106*u + 2. Let l(w) = 198*w**4 - 319*w - 6. Let m(a) = -19*c(a) - 6*l(a). What is the second derivative of m(z) wrt z?
792*z**2
Let y(w) = 742*w + 935. Let d(x) = 3710*x + 4676. Let u(r) = 2*d(r) - 11*y(r). Differentiate u(i) wrt i.
-742
Let q(y) = 7*y**2 + 2*y - 1. Let f(j) = 2*j + 7*j**2 + 2 - 3 + j. Let h = 257 + -255. Let s(l) = h*f(l) - 3*q(l). Find the first derivative of s(m) wrt m.
-14*m
Let q(p) be the third derivative of -193*p**5/30 + 7*p**4/12 + 2*p**2 - 234. What is the second derivative of q(w) wrt w?
-772
Let f(n) = n**2 - n - 1. Let x(s) = 5*s**2 + 26*s - 172. Let h(m) = 3*f(m) - x(m). What is the first derivative of h(r) wrt r?
-4*r - 29
Let b(h) be the second derivative of -777*h**5/20 + 261*h**2 + 876*h. What is the first derivative of b(g) wrt g?
-2331*g**2
Suppose 0 = -4*u + 7*u - 15. What is the second derivative of 3*g + 30*g**5 + 22*g**5 - 55*g**u wrt g?
-60*g**3
Let q(v) = -25*v. Let g be q(-1). Find the third derivative of -12*u**2 + 48*u**3 + 15*u**2 + g*u**2 wrt u.
288
Let k(o) = o**3 + o + 1. Suppose -7 = 5*b - 22. Let d(x) = -33*x**4 - 3*x**3 - 3*x + 1. Let y(l) = b*k(l) + d(l). Find the first derivative of y(u) wrt u.
-132*u**3
Suppose -d - 11 = n, 3*d - 6*d - 25 = 2*n. Let u = -3 - n. What is the third derivative of -l**2 + u*l**6 - l**6 + 4*l**6 wrt l?
960*l**3
What is the first derivative of 14*z + 12*z + 15*z + 8*z**3 - 575 - 58*z + 19*z wrt z?
24*z**2 + 2
Suppose -3*w - 2*o = -8*w + 892, 4*o - 530 = -3*w. What is the second derivative of 8*j**4 - 178*j**2 + 7*j + w*j**2 wrt j?
96*j**2
Find the third derivative of -43*m**3 - 42*m**3 - 58*m**3 + 204*m**3 - 42*m**3 - 24*m**2 wrt m.
114
Let b(h) be the third derivative of 1/12*h**4 + 14*h**2 + 0*h**3 + 0 + 0*h**5 + 0*h + 1/40*h**6. Find the second derivative of b(s) wrt s.
18*s
Let j(o) = 7*o - 72. Let l(n) = 70*n - 721. Let p(g) = 49*j(g) - 5*l(g). What is the derivative of p(v) wrt v?
-7
Let m be ((-32)/24)/((-2)/3). Let y(i) be the third derivative of 0 + 0*i - 1/24*i**4 + 1/3*i**3 + 5*i**m. Differentiate y(n) with respect to n.
-1
Suppose 4*h - 220 = -h. Let p = 92 - h. What is the third derivative of 7*v**2 + p*v**3 - 48*v**3 + v**6 wrt v?
120*v**3
Let o(c) be the second derivative of c**7/84 - c**6/40 - 11*c**3/3 - 12*c. Let d(t) be the second derivative of o(t). Find the third derivative of d(h) wrt h.
60
Let y(w) = -w**3 + w**2 + w + 1. Let n(u) = -3*u**3 + 2*u**2 - 97*u - 182. Let r(h) = -n(h) + 2*y(h). Differentiate r(s) with respect to s.
3*s**2 + 99
Suppose 4*r = 9 - 1. Suppose -m - 3*h - 9 = -4*m, r*h - 22 = -5*m. What is the third derivative of -2*g**4 + 5*g**m - g