ifferentiate -22*g**2 + 38*g**2 - 18 - 9*g**u wrt g.
14*g
Let t(h) be the second derivative of -h**4/3 + 5*h**3/3 + 4*h**2 + 14*h. Let n(a) be the first derivative of t(a). What is the first derivative of n(m) wrt m?
-8
Let x(w) be the second derivative of 0*w**2 - 13/6*w**3 + 1/3*w**7 + 0*w**4 + 0*w**6 + 0 - 12*w + 0*w**5. What is the second derivative of x(k) wrt k?
280*k**3
Let b(y) be the second derivative of 17*y**6/15 - 5*y**4/2 - y**3/3 + 2*y + 12. Find the third derivative of b(g) wrt g.
816*g
Let s be 48/15 - 4/(-5). Suppose -2*x - w = -s - 3, 4*w + 7 = -x. Differentiate -z + 0*z + 7 + 2 + x*z wrt z.
4
Let f(a) = a**2 + 289*a - 289*a - a**3 - 1. Let n(x) = -3*x**4 - 5*x**3 + 4*x**2 - 33. Let j(y) = 4*f(y) - n(y). Differentiate j(i) with respect to i.
12*i**3 + 3*i**2
Let t = 10 + -6. Suppose -3*v = t*k - 0*v - 24, -4*k + 5*v = 8. What is the first derivative of 2*w**3 + w**k - 7*w**3 + 2 wrt w?
-12*w**2
Suppose -2*f + 3*c - 3 = -6*f, 0 = 4*f + 4*c. Suppose 2*j = f*j. What is the second derivative of y + 0*y**5 - 3*y - 2*y**5 + j*y**5 wrt y?
-40*y**3
Let z(p) be the third derivative of -p**8/56 - 2*p**7/35 + p**5/20 - 2*p**4/3 - 26*p**2 + p. What is the third derivative of z(s) wrt s?
-360*s**2 - 288*s
Let g(p) = -p**2 - 5*p - 1. Let s be g(-4). What is the derivative of 9*u**s - 10 + 9 - 6 wrt u?
27*u**2
Let c be (-30)/(-4) - (-19)/38. Find the third derivative of r**6 + 24*r**2 + c*r**2 + 25*r**6 wrt r.
3120*r**3
Let c(k) = -18*k**2 + 144*k + 2. Let s be c(8). Let j(g) be the first derivative of 5*g + 5/2*g**s + 5. What is the derivative of j(p) wrt p?
5
Let m(c) be the second derivative of 101*c**4/12 - 145*c**2 + 143*c. Differentiate m(g) wrt g.
202*g
Let j = -76 + 78. Let p(b) be the first derivative of 5/2*b**2 - 4 - j*b. What is the derivative of p(y) wrt y?
5
Let c be (-6 - 1 - -4)/((-1)/1). Let f be ((-1)/3)/(2/(-42)). Differentiate c*w - 5*w**4 - 3*w - f - w**4 with respect to w.
-24*w**3
What is the first derivative of 135*t**2 + 705 - 1212 + 617 wrt t?
270*t
Let q(b) be the second derivative of 0 - 37/6*b**3 + 15/4*b**4 + 0*b**2 - 14*b. What is the second derivative of q(g) wrt g?
90
Suppose r - 9 = 3*i, -r = 3*i - 8 - 19. Suppose 13 = 5*f - 7. What is the second derivative of -8*q**3 + 8*q - f*q**3 - r*q - 2*q wrt q?
-72*q
Let m(k) = -51*k + 47. Let h(d) = 53*d - 46. Let t(q) = 2*h(q) + 3*m(q). What is the first derivative of t(b) wrt b?
-47
Let t(l) be the third derivative of 0*l + 0*l**5 - 1/8*l**4 + 0*l**6 + 0*l**3 + 0 - 17/336*l**8 + 0*l**7 + 21*l**2. What is the second derivative of t(x) wrt x?
-340*x**3
Let k(b) = b**4 + 2*b**3. Let o(r) = -8*r**5 + 4*r**4 + 8*r**3 - 47*r. Let u(h) = 4*k(h) - o(h). Find the second derivative of u(t) wrt t.
160*t**3
Let i(z) be the first derivative of z**8/210 - z**6/60 - 11*z**3/3 + 4. Let s(x) be the third derivative of i(x). Find the third derivative of s(d) wrt d.
192*d
Let j(c) be the third derivative of -151*c**4/24 + 11*c**3/3 - 21*c**2. Differentiate j(n) with respect to n.
-151
Let g(i) be the second derivative of -8*i**6/15 - 3*i**5/20 + i**3/6 + i**2/2 + 180*i. What is the second derivative of g(z) wrt z?
-192*z**2 - 18*z
Let k(g) be the first derivative of 629*g**4/4 - 125*g**3/3 + 3*g**2/2 - 668. Find the third derivative of k(m) wrt m.
3774
Find the third derivative of 22*g**3 + 86*g**2 + 98*g**2 + 2*g**3 wrt g.
144
Let q be 7 - (5*6/15)/1. Suppose 4*z = 6*z - 10. What is the second derivative of 8*m**z - 168*m + 160*m + 5*m**5 - q*m**5 wrt m?
160*m**3
Let o be 18/(-4)*4/(-6). Let k(z) be the second derivative of 8*z - z**2 - 4*z**2 + o*z**2 + 7*z**2 + z**3. Differentiate k(s) with respect to s.
6
Let t be (-1 + (-16)/(-12))*66. Suppose 5*r + 7 = t. Find the second derivative of 1 - 8*k**3 + 8*k + 14*k**r - 1 wrt k.
36*k
Let w(o) = o**3 + 4*o**2 - 7*o - 7. Let l be w(-5). Differentiate q - l*q + 1 - 4*q + 16 with respect to q.
-6
Let n(a) be the third derivative of 0 + 9*a**2 + 2*a**3 + 0*a - 3/4*a**4. What is the derivative of n(v) wrt v?
-18
Let g(u) = 11*u**4 + 316*u + 43. Let l(v) = 5*v**4 + 157*v + 22. Let f(o) = -6*g(o) + 13*l(o). Differentiate f(d) wrt d.
-4*d**3 + 145
What is the third derivative of -303*h**2 + 61*h**3 + 3 - 2*h**5 - 3 + 8*h + 307*h**2 wrt h?
-120*h**2 + 366
Let w = -541 - -543. Let t(z) be the first derivative of 4 + 0*z + 0*z**w + 7/4*z**4 - 7/3*z**3. What is the third derivative of t(f) wrt f?
42
Let k(f) = 2*f**3 + 4*f - 11. Suppose 12 = 2*s + 4. Let r(d) = -d**3 - d + 1. Let o(t) = s*r(t) + k(t). Differentiate o(j) with respect to j.
-6*j**2
Let q be 4/2 - 6/(-2). Suppose -31 = -t + q. Find the second derivative of -t*k**3 + 6*k**5 + 10*k + 36*k**3 wrt k.
120*k**3
Let k be 19/7 + 2 + (-36)/21. What is the third derivative of -9*p**3 - 4*p**k - 4*p**3 + 82*p**2 - 100*p**2 wrt p?
-102
Let g(p) = 2*p**2 + 3*p + 1. Let c be g(-2). Let u(w) = -2*w - 11. Let z be u(-8). What is the second derivative of y**3 - y + 3*y - y**c - 5*y**z wrt y?
-100*y**3
Find the second derivative of 50*v + 245*v + 47*v**2 + 38*v**2 wrt v.
170
Suppose -2*m - 6 = -y - 4*y, 4*m = 3*y - 12. Suppose -16 = -y*n - 4*n. What is the third derivative of 6*a**4 - 6*a**n + 5*a**2 - 2*a**6 wrt a?
-240*a**3
Suppose 2*k - 16 = c, k - 6*c = -c - 1. Find the second derivative of k*v - 9*v**5 - 6*v**4 + 12*v**4 - 6*v**4 wrt v.
-180*v**3
Let n(z) be the first derivative of 17*z**8/336 + z**4/8 + 19*z**2/2 + 24. Let h(l) be the second derivative of n(l). Find the second derivative of h(c) wrt c.
340*c**3
Let g(w) be the first derivative of 0*w + 6 + 0*w**3 + 0*w**4 + w**2 + 7/5*w**5. Find the second derivative of g(m) wrt m.
84*m**2
Let v(w) be the first derivative of 23*w**6/120 - 4*w**4/3 - 13*w**2 - 16. Let u(b) be the second derivative of v(b). Find the second derivative of u(z) wrt z.
138*z
What is the third derivative of 30*k**2 + 19*k**3 - 158*k**2 + 425*k**3 + 100*k**3 wrt k?
3264
Let w(u) = u**3 - 5*u**2 - 4*u - 6. Let x be w(6). Let n = 90 + -88. What is the third derivative of -4*h**2 - h**3 + n*h**x + 0*h**6 + h**3 wrt h?
240*h**3
Suppose 5*o = -3*x + 32, x + 0*o = o + 8. Differentiate 3*t**2 - x*t**3 - 3*t**2 - 2 - 8 wrt t.
-27*t**2
Let q(n) = 2*n**4 - 43*n**2 + 93*n + 5. Let m(f) = 2*f**4 - 44*f**2 + 92*f + 4. Let j(a) = 5*m(a) - 4*q(a). What is the second derivative of j(i) wrt i?
24*i**2 - 96
Let i(q) = -q**3 - q**2 + q + 1. Let n(s) = -20*s**4 + 5*s**3 + 5*s**2 - 62*s - 4. Let t(y) = 5*i(y) + n(y). Find the second derivative of t(c) wrt c.
-240*c**2
Suppose -184 = -v - v + 4*u, -v - 3*u + 112 = 0. Differentiate v*d + 24 - 31*d - 41*d - 33*d with respect to d.
-5
Suppose g + g = 0. Suppose 3*f + 2*f = g. What is the second derivative of r + f*r - 3*r - 4*r**3 + 0*r wrt r?
-24*r
Suppose 13*p - 12*p - 2 = 0. What is the third derivative of -8*f**4 - 28*f**2 + p*f**3 + 8*f**2 - 2*f**3 wrt f?
-192*f
Suppose -4*j = -7*j + 12. Suppose 0 = -4*c + 23 - 7. What is the third derivative of j*x**2 - 2*x**2 - 6*x**4 + 11*x**c wrt x?
120*x
Let a(y) be the third derivative of 0*y - 43/6*y**3 + 0*y**4 - 17*y**2 + 1/10*y**5 + 0. Find the first derivative of a(m) wrt m.
12*m
Let y = -366 + 369. Let s(r) be the second derivative of -1/4*r**4 + 0*r**y + 5/2*r**2 + 0 - 9*r. Differentiate s(d) with respect to d.
-6*d
Find the first derivative of -3969 + 7664 + 0*j**2 - 2*j**2 - 3982 - 20*j wrt j.
-4*j - 20
Suppose 5*a - 2*q = -0*q + 24, -5*q - 6 = a. Let k(x) = 7*x - 5. Let y(l) = 8*l - 6. Let t(u) = a*y(u) - 5*k(u). What is the derivative of t(r) wrt r?
-3
Let g be (8/18)/(24/36)*9. What is the third derivative of -3*d**6 - 22*d**2 + 18*d**g + 5*d**6 wrt d?
2400*d**3
Suppose -3*i = -2*t + 11, -3*i - 5 = t + 3. Suppose t = -2*l + 5. Find the third derivative of -8 + 8 + 3*m**3 + 3*m**l wrt m.
18
Let f(y) = -2*y + 2 + y + 0 + y**2. Let a be f(0). Find the second derivative of 11*l**2 - 15*l**a - 4*l + 0*l wrt l.
-8
Let a = 27 + -25. Differentiate 9 - 2*z**2 + 21 - 7 + 23*z**a with respect to z.
42*z
Let b(c) be the third derivative of 1/6*c**5 + 1/3*c**4 + 0*c + 0*c**3 - 3*c**2 + 0. Find the second derivative of b(x) wrt x.
20
Find the second derivative of -13*u + 210*u**2 + 7 + 14*u**3 - 215*u**2 + 2*u wrt u.
84*u - 10
Let q(m) be the first derivative of 47*m**6/3 - 95*m**3/3 - 282. What 