he first derivative of t(w) wrt w.
-1
Let k = -1 + 1. Find the second derivative of -4*z - 30*z**2 + k*z - 6*z + 3*z wrt z.
-60
Let f(g) = -g**3 - 10*g**2 - 12*g - 12. Let h be f(-9). Let i = h - 15. What is the second derivative of z + 4*z**4 - 2*z**4 - 6*z + i*z wrt z?
24*z**2
Find the second derivative of 3*r**4 - 10*r**2 + 13*r - 1899*r**3 - 1893*r**3 + 3792*r**3 wrt r.
36*r**2 - 20
Suppose -5*l = -5 - 5. Find the third derivative of -6*v**l + 8*v**4 - 80*v + 80*v wrt v.
192*v
Let q(n) be the second derivative of -18*n**7/7 - 23*n**4/6 + 24*n + 1. Find the third derivative of q(y) wrt y.
-6480*y**2
Let c be 129 - (-5 + -2 - -3). Differentiate -1 + c*f**2 - 133*f**2 + 13*f**3 wrt f.
39*f**2
Let f(c) be the third derivative of -109*c**8/168 - 89*c**5/20 + 194*c**2 - c. Find the third derivative of f(r) wrt r.
-13080*r**2
Let r(o) = 107*o**4 - 152*o - 2. Let m(c) = -c**4 - 1. Let w(n) = -2*m(n) + r(n). What is the second derivative of w(d) wrt d?
1308*d**2
Let a(l) be the second derivative of -1/2*l**2 + 7*l + 0 - 7/6*l**3. Differentiate a(z) with respect to z.
-7
Suppose -g - 3*k + 0 = 8, -k - 20 = -4*g. What is the second derivative of 2*f + 6*f**4 + g*f**4 - 5*f - 6*f wrt f?
120*f**2
Let h(r) = -726*r**3 + 152*r**2 - 5*r. Let b(v) = v**3 - v**2 - v. Let a(t) = 4*b(t) - h(t). What is the third derivative of a(i) wrt i?
4380
Let z(u) be the first derivative of 3*u**5/5 - 22*u**4 + 16*u**2 + 4*u + 290. Find the second derivative of z(r) wrt r.
36*r**2 - 528*r
Let l(s) be the first derivative of s**4/12 - 2*s**2 + 13*s + 8. Let d(p) be the first derivative of l(p). What is the first derivative of d(z) wrt z?
2*z
Let s(m) = -m**2 - m - 2. Let w(h) = 131*h**4 - 5*h**2 - 5*h - 111. Let p(r) = 5*s(r) - w(r). What is the derivative of p(q) wrt q?
-524*q**3
Let a(m) be the third derivative of 0 + 29/6*m**3 + 39*m**2 + 0*m + 0*m**5 - 2/15*m**7 + 0*m**6 + 0*m**4. Differentiate a(z) with respect to z.
-112*z**3
Differentiate 11 + 0*o + 70 + 0*o + 14*o wrt o.
14
Suppose 2 = 4*s - 6. Find the third derivative of -2*f**2 + f - s*f + 4*f**3 + f wrt f.
24
Let r(w) = w**4 + w**2 + w - 1. Let k(m) = 6*m**4 - 5*m**3 + 10*m**2 - 3*m + 1. Let b(l) = k(l) + 3*r(l). Find the third derivative of b(z) wrt z.
216*z - 30
Let n(q) be the first derivative of 8*q**5/5 + 15*q**2 - 67*q - 84. Differentiate n(p) wrt p.
32*p**3 + 30
Let v(z) = -z**5 + z**4 - 2. Let a(p) = -14*p**5 + 4*p**4 + 11*p**3 + 152*p - 8. Let n(b) = a(b) - 4*v(b). Find the second derivative of n(x) wrt x.
-200*x**3 + 66*x
What is the second derivative of 64*p - 166*p**4 - 185*p**4 + 157*p**4 wrt p?
-2328*p**2
Find the second derivative of 13*v - 6 + 9 + 508*v**2 + 216*v - 3 wrt v.
1016
What is the third derivative of -99*u**6 + 550 - 302 - 2*u**2 - 317 wrt u?
-11880*u**3
Let b(l) be the second derivative of -l**6/10 - 157*l**5/20 - 4*l**4/3 + 3*l**2 + 355*l. Find the third derivative of b(o) wrt o.
-72*o - 942
Let t(r) be the second derivative of 7*r**4/6 - r**3/6 + 7*r**2 - 7*r. Differentiate t(n) with respect to n.
28*n - 1
Suppose -s + 6 = 2*s. Find the first derivative of -3*b**3 - 164*b**2 + 164*b**s + 5 wrt b.
-9*b**2
Let q(c) be the first derivative of 9*c**4 + 0*c**2 + 0*c + 32/3*c**3 + 25. Find the third derivative of q(r) wrt r.
216
Suppose -8*d + 18 + 22 = 0. Let r(x) be the third derivative of -1/24*x**4 + x**2 + 0 - 1/15*x**d + 0*x + 0*x**3. What is the second derivative of r(p) wrt p?
-8
Let p(m) be the third derivative of -53*m**7/105 + m**5/60 - 48*m**3 + 578*m**2. What is the derivative of p(f) wrt f?
-424*f**3 + 2*f
Let u(z) = -z**3 + 9*z**2 - 7*z - 6. Let w be u(8). Suppose -9 = -w*o - 3. Differentiate -4*h**o - 2 - 3 + 2*h**3 with respect to h.
-6*h**2
Let m(d) = d**2 - 11*d + 1. Let y be m(11). Let h(b) be the first derivative of -b - 5*b**3 + 3*b**3 - 4*b + 2*b + y. What is the derivative of h(w) wrt w?
-12*w
What is the first derivative of 96 + 347*c**4 + 3*c - 350*c**4 - 3*c wrt c?
-12*c**3
Let w(y) be the second derivative of -39*y**5/10 + y**4/12 - y**3/6 + 77*y**2/2 - y + 11. What is the second derivative of w(g) wrt g?
-468*g + 2
Let c = -8 - -9. Let n = 1 + c. Differentiate -2 - 3 + 7*q**2 - 5*q**2 + 9*q**n with respect to q.
22*q
Let p be -3 + 1 + (9/(-3) - -5). Let l(s) be the first derivative of s + 0*s**3 - 1/5*s**5 + p*s**2 + 2 + 0*s**4. Differentiate l(k) wrt k.
-4*k**3
Let g(l) = 3*l**2 + 13*l. Let a be g(11). Find the third derivative of -a - 9*m**2 + 506 - 9*m**5 wrt m.
-540*m**2
Let r(x) be the second derivative of 0 - 5/6*x**4 + 11*x - 2/3*x**3 + 0*x**2. Find the second derivative of r(k) wrt k.
-20
Let b be (-742)/(-112) - 3/(-8). Let k(m) = m**3 - 6*m**2 - 7*m + 2. Let s be k(b). Find the first derivative of -s - 15*x**3 - 9 + 13*x**3 wrt x.
-6*x**2
Suppose -8 + 2 = -2*s. What is the third derivative of -s*j + 0*j + 3*j**3 + 3*j + 12*j**2 wrt j?
18
Let s be 79/395 - (-104)/30*1. Let o(f) be the first derivative of 0*f - 9/4*f**4 - 10 + 0*f**2 - s*f**3. Find the third derivative of o(d) wrt d.
-54
What is the second derivative of -357*l + 33*l + 69*l - 308*l - 640*l**2 + 50*l wrt l?
-1280
Let n(i) = -767*i**2 - 4*i + 421. Let k(y) = -2293*y**2 - 14*y + 1263. Let c(r) = -2*k(r) + 7*n(r). What is the derivative of c(t) wrt t?
-1566*t
Let o be ((-6)/4)/(0 + 9/(-84)). Find the first derivative of 4*t - 1 + o + 21 + 0*t wrt t.
4
Let k be (-6)/15*(-125)/30. Let r(p) be the first derivative of 6 - 1/2*p**2 + 0*p - k*p**3. What is the second derivative of r(n) wrt n?
-10
Suppose -53*r = -18*r. Let v(m) be the second derivative of r*m**4 + 5/2*m**2 + 7/20*m**5 + 0*m**3 - 4*m + 0. What is the derivative of v(n) wrt n?
21*n**2
Let p(m) = -m**2 - 2*m + 6. Let i(q) = -q**2 + 93*q + 407. Let c(w) = i(w) - 5*p(w). Find the first derivative of c(v) wrt v.
8*v + 103
Let o(h) = -321*h - 164. Let i(j) = -959*j - 492. Let p(f) = -4*i(f) + 11*o(f). Differentiate p(x) wrt x.
305
Let m(h) be the first derivative of h**9/378 - 7*h**5/120 - 3*h**3 + 3. Let r(q) be the third derivative of m(q). What is the second derivative of r(a) wrt a?
160*a**3
Let o(v) be the first derivative of 88*v**6/3 + v**2 - 28*v - 20. Find the second derivative of o(g) wrt g.
3520*g**3
Let o(a) = -a + 11. Let y(n) = -55. Let k(t) = -14. Let g(l) = 11*k(l) - 3*y(l). Let w(v) = -2*g(v) + 3*o(v). Find the first derivative of w(j) wrt j.
-3
Let n(w) = -w**3 + 2*w**2 + w + 1. Let l(t) = 48*t**3 + 18*t**2 + 9*t - 225. Let s(h) = -l(h) + 9*n(h). What is the first derivative of s(m) wrt m?
-171*m**2
Suppose 3*f - 5*f - 62 = -4*i, -2*f - 32 = -2*i. What is the third derivative of -19*s + i*s**3 - 19*s + 38*s + 2*s**2 wrt s?
90
Let d(i) be the first derivative of -24 - 25/3*i**3 - 7/4*i**4 + 0*i + 0*i**2. Find the third derivative of d(k) wrt k.
-42
What is the derivative of 2 - 1082*i + 16 - 6 + 1124*i wrt i?
42
Let c(k) be the first derivative of 38*k**6 + 44*k**3/3 - 185. Find the third derivative of c(g) wrt g.
13680*g**2
Let q = 124 + -119. What is the third derivative of 7*o**6 + 44*o**2 - 20*o**6 - q*o**6 wrt o?
-2160*o**3
Let a(r) be the third derivative of 3/70*r**7 + 0*r**6 + 0*r + 0 - 9*r**2 + 0*r**4 + 1/6*r**5 + 0*r**3. What is the third derivative of a(d) wrt d?
216*d
Let l(j) = -j**3 - 6*j**2 + 6*j - 7. Let u be l(-7). Find the second derivative of 50*a**2 + 4*a**3 - 50*a**2 + u*a + 4*a wrt a.
24*a
What is the first derivative of -26*y**4 - 52 + y**2 - 6*y**4 + 88 wrt y?
-128*y**3 + 2*y
Let r(t) be the first derivative of -7*t**6/40 + 9*t**3/2 - 6*t**2 + 22. Let u(v) be the second derivative of r(v). Differentiate u(y) wrt y.
-63*y**2
Let y(c) be the first derivative of 150*c**3 - 105*c**2 + 327. What is the second derivative of y(l) wrt l?
900
Let q be (-7 - -5) + 4 - -1002. What is the third derivative of 12*t**3 - t**3 - 12*t**2 + q*t - 1004*t wrt t?
66
Let s(f) be the third derivative of -25*f**9/504 + 87*f**5/20 + 159*f**2. What is the third derivative of s(y) wrt y?
-3000*y**3
Let v(a) = -8*a**3 - 10*a**2 + 286*a - 2. Let k(c) = 7*c**3 + 11*c**2 - 285*c + 3. Let h(y) = -2*k(y) - 3*v(y). What is the second derivative of h(l) wrt l?
60*l + 16
What is the third derivative of 0 + 169*a**3 + 2 - 6*a**2 - 10*a**2 - 147*a**3 wrt a?
132
Let q(u) = -19*u**4 + 5*u**2 + 3*u. Let s(d) = -19*d**2 + 18*d**2 