i) - 5*g(i). What is the derivative of w(h) wrt h?
-5
Find the first derivative of 1 + 2*j + 48 + 27 + 30*j**4 - 14 wrt j.
120*j**3 + 2
Suppose -t + 120 + 32 = 4*n, 76 = 2*n - t. Let q = -26 + n. Differentiate -3 - 6 - q*h**2 + 11*h**2 + 1 wrt h.
-2*h
Let k(r) = r**4 - r**3 - r. Let x(o) = 32*o**5 - 2*o**4 + 2*o**3 - 133*o. Let m(q) = -4*k(q) - 2*x(q). Find the second derivative of m(w) wrt w.
-1280*w**3
Let v(q) be the third derivative of -41*q**7/105 - 191*q**3/3 - 35*q**2 + 1. What is the derivative of v(m) wrt m?
-328*m**3
Let g(x) be the second derivative of 55*x**8/28 + 3*x**4/2 + 5*x + 3. Find the third derivative of g(q) wrt q.
13200*q**3
Let i(c) = c**3 + 13*c**2 + 13*c + 18. Let n be i(-12). Suppose g = n*g. Find the second derivative of 6*r**3 + g*r**3 - 3*r - 4*r**3 + 3*r**3 wrt r.
30*r
What is the third derivative of 37*q**4 + 269*q**2 + q**3 + 0*q**3 - q**3 + q**3 + q**3 wrt q?
888*q + 12
Let n(v) = -v**3 + 12*v + 757. Let s(l) = -2*l**3 + 13*l + 755. Let m(t) = -3*n(t) + 4*s(t). Differentiate m(o) wrt o.
-15*o**2 + 16
Let o(x) be the first derivative of -3*x**6/2 - 3*x**4/4 + 2*x**2 + 5*x - 49. Find the second derivative of o(m) wrt m.
-180*m**3 - 18*m
Let j(i) = i**3 - i**2 - i + 1. Let u(x) = -155*x**3 - 114*x**2 - 4*x + 4. Let h(w) = 4*j(w) - u(w). Find the third derivative of h(z) wrt z.
954
Let f(u) be the first derivative of 13*u**5/20 + u**4/4 + 3*u + 2. Let h(q) be the first derivative of f(q). What is the third derivative of h(c) wrt c?
78
Let v(g) be the first derivative of -2*g**5/5 - 5*g**4 - 109*g + 986. Differentiate v(q) wrt q.
-8*q**3 - 60*q**2
Let k(q) be the third derivative of q**9/189 - q**6/15 - 4*q**3 + 14*q**2. Let a(f) be the first derivative of k(f). What is the third derivative of a(z) wrt z?
960*z**2
Let w(v) be the third derivative of -115*v**4/24 + 40*v**3/3 - 44*v**2. Differentiate w(t) with respect to t.
-115
Suppose 0 = 5*z - 3*z - 12. Suppose 0*x - 3*x + q = -z, 2*x = -q + 4. What is the third derivative of 3*r**3 - 7*r**2 + r**3 + 4*r**x wrt r?
24
Let p(w) be the second derivative of -121*w**4/12 + 147*w**2 - 2*w + 388. What is the first derivative of p(q) wrt q?
-242*q
Let k(w) be the second derivative of 85*w**4/12 - 31*w**2 - 2*w + 3. What is the first derivative of k(u) wrt u?
170*u
Let s(c) = -19*c**4 + c**3 + c**2 + 4. Let u = -31 + 30. Let k(t) = t**3 + t**2 - 1. Let n(f) = u*k(f) + s(f). What is the derivative of n(d) wrt d?
-76*d**3
Let r be 1/((-4)/(-12))*1. Let c(j) = 35*j**3 + 3*j**2 + 8*j - 3. Let y(k) = -k**2 - k + 1. Let u(a) = r*y(a) + c(a). Find the second derivative of u(i) wrt i.
210*i
Let f(k) = -203*k**3 - 5*k**2 + 5*k + 104. Let i(n) = -101*n**3 - 2*n**2 + 2*n + 52. Let j(r) = -2*f(r) + 5*i(r). Find the first derivative of j(o) wrt o.
-297*o**2
Let i(z) = 21*z**2 - 4*z + 131. Let f(h) = -84*h**2 + 18*h - 525. Let w(p) = -2*f(p) - 9*i(p). Differentiate w(c) with respect to c.
-42*c
What is the third derivative of -719*i**5 - 21*i**6 + 18*i**6 - 70*i**2 + 719*i**5 wrt i?
-360*i**3
Suppose -29 = -3*v - 5*q, 2*v = 5*q - 0 - 14. Let s = 13 - 11. What is the third derivative of 15*z + 4*z**5 - 15*z - v*z**s - 2*z**2 wrt z?
240*z**2
Suppose -5*n + 40 = -5*c, c + 4 = -1. Find the second derivative of y**n + 7*y - 3*y + 11*y**3 - 8*y wrt y.
72*y
Let i(h) = 9*h**3 - 8*h**2 - 62*h - 19. Let s(t) = 19*t**3 - 15*t**2 - 125*t - 41. Let x(f) = -13*i(f) + 6*s(f). Find the second derivative of x(m) wrt m.
-18*m + 28
Let j(p) = 210*p**2 + 140*p + 14. Let l(o) = 209*o**2 + 142*o + 20. Let d(h) = -3*j(h) + 2*l(h). Find the second derivative of d(g) wrt g.
-424
Find the third derivative of -31*g**2 - 76*g**2 + 4*g + 195*g**3 - 4*g + 21*g**2 wrt g.
1170
Suppose 5*r = -q + 19 + 5, 5*q = -3*r + 76. Suppose 0*u - 9 = -3*u. What is the second derivative of 0*z + u*z + q*z**3 - 14*z**3 + z**5 wrt z?
20*z**3
Let g(s) = -s**2 + 1. Let z(y) = -31*y**2 - 8. Let k(p) = g(p) - z(p). What is the derivative of k(t) wrt t?
60*t
Let r = 37 - 32. Suppose -r*a + 15 = q, -46 + 14 = -3*q - 2*a. What is the second derivative of q*m + 4*m**2 - 4*m**2 + 39*m**5 - 30*m**5 wrt m?
180*m**3
Suppose -3 = -2*d + y - 1, -d - y = -7. What is the second derivative of 978 - 15*h**d - 978 - 11*h wrt h?
-90*h
Let i(z) = -z**2 - 9*z - 6. Let g be i(-8). What is the third derivative of -14*v**2 + 16*v**2 + 2*v**3 + 12*v**3 - 7*v**g wrt v?
84
Let k be (1 - 1)/(1*(-1 + 3)). Differentiate 6 - 6*a**4 - 20*a**4 + k*a**4 + 1 with respect to a.
-104*a**3
Let z be ((-2)/(-3))/(2/1617). What is the second derivative of -5*i**4 + 6*i - 17*i - 539 + z wrt i?
-60*i**2
Let l(n) = -n**3 - 2*n. Let w(v) = -3*v**4 + 14*v**3 + 4*v**2 + 10*v. Let x(z) = -4*l(z) - w(z). Find the third derivative of x(m) wrt m.
72*m - 60
Let k(p) = -p + 8. Let o be k(8). Suppose -8*j + 5*j + 3 = o. What is the derivative of -4 - j + 1 + 0 + 2*n wrt n?
2
Let t be (-2800)/(-49) + 2/(-14). What is the third derivative of -t*c**3 + 57*c**3 - 7*c**4 - 5*c**4 + 13*c**2 wrt c?
-288*c
Let k(d) be the first derivative of 0*d**4 + 0*d - 13/5*d**5 + 11/2*d**2 + 0*d**3 - 8. What is the second derivative of k(j) wrt j?
-156*j**2
Let b = -17 - -19. Find the third derivative of 48*i**3 - 9*i**6 + i**2 - 48*i**3 + i**b wrt i.
-1080*i**3
What is the third derivative of 463*a**2 + 2*a**3 + 561*a**4 - 507*a**4 - 407*a**4 wrt a?
-8472*a + 12
Let b(v) be the third derivative of 0 - 27*v**2 + 0*v + 31/24*v**4 + 8/3*v**3. Differentiate b(c) wrt c.
31
Let q(p) = -170*p**2 + 12*p - 776. Let u(n) = 68*n**2 - 5*n + 311. Let b(i) = 5*q(i) + 12*u(i). What is the derivative of b(t) wrt t?
-68*t
Let b(w) be the second derivative of 89*w**3/6 - 75*w**2 + 164*w. What is the derivative of b(x) wrt x?
89
Suppose -33 = -5*u + 3*p - 0, 4*u - 3*p = 24. Differentiate -u - 7*j**4 - j - 5*j + 6*j with respect to j.
-28*j**3
Let h(b) be the second derivative of 55*b**4/3 + b**3/6 - 5*b**2 + 209*b. Find the second derivative of h(w) wrt w.
440
Let q be (-10)/(-30)*(-12)/(-2). Suppose d = -u + 2*d + 90, -5*u - q*d + 478 = 0. What is the third derivative of 3*o**2 + 0*o**2 - 96*o**5 + u*o**5 wrt o?
-120*o**2
Let d(b) be the third derivative of b**5/60 + 5*b**4/24 + 61*b**3/3 - 42*b**2. Find the first derivative of d(q) wrt q.
2*q + 5
Let k(b) = -8*b**2 - 17*b. Let r(j) = -j**2 + j. Let f be (-3)/6 + 4/(-8). Let s(v) = f*k(v) - 4*r(v). Find the second derivative of s(x) wrt x.
24
Find the third derivative of -294*h**4 + 324*h**4 - 2*h**2 + 57*h + 4*h - h**5 wrt h.
-60*h**2 + 720*h
Let n(w) = w**3 - 10*w**2 + 8*w + 12. Let g be n(9). Let i(o) = o**3 - o**2 - 3*o - 3. Let r be i(g). Differentiate 9*k**2 - 4 + 0*k**2 + 1 + r wrt k.
18*k
Let r be (-1 - 0)/(4 - 5). Differentiate 5 + 2 + r - 27*v + 4 wrt v.
-27
Suppose 0 = 3*j + 3, 2*l - j - 14 = 9. What is the third derivative of 2*c**6 - 16*c**4 + 16*c**2 + 16*c**4 + l*c**6 wrt c?
1560*c**3
Let s(p) be the third derivative of 11*p**7/6 + 157*p**4/12 - p**3/6 + 10*p**2 - 2. What is the second derivative of s(n) wrt n?
4620*n**2
Find the second derivative of 29 - 15 + 65*q**3 - 14 - 178*q wrt q.
390*q
Let n be (-8)/((-96)/(-63))*24/(-9). Find the third derivative of 0*d**2 + 21*d**2 + n*d**2 - 3*d**3 wrt d.
-18
Let t(r) be the third derivative of 181*r**8/84 - r**5/20 + 103*r**3/6 - r**2 + 8*r. Find the third derivative of t(v) wrt v.
43440*v**2
Let t(w) be the third derivative of -11*w**8/56 + 11*w**5/12 - 3*w**2 - 15. What is the third derivative of t(o) wrt o?
-3960*o**2
Let i(l) be the third derivative of l**4/24 + 10*l**3/3 + 10*l**2. Let z be i(-17). Find the first derivative of -7 - w**3 - w**z + 2 - 4*w**3 wrt w.
-18*w**2
Let l(d) = -2*d**3 - 3. Let t(y) = 3*y + 10. Let q be t(-4). Let x be l(q). What is the derivative of 18 - x - 11 + s**3 wrt s?
3*s**2
Find the first derivative of 12*w**4 + 88 - 14*w**2 + 306 - 27*w**4 + 7*w**2 + 13*w**4 wrt w.
-8*w**3 - 14*w
Let b(l) = 21*l + 57. Let k(f) = 11*f + 8. Let q(a) = a - 1. Let p(s) = k(s) - 6*q(s). Let h(z) = 2*b(z) - 9*p(z). What is the derivative of h(c) wrt c?
-3
Let p(f) = -2*f**3 + 2*f**2 + f. Let m(v) = 174*v**3 - 10*v**2 - 6*v + 16. Let w(k) = m(k) + 6*p(k). What is the third derivative of w(t) wrt t?
972
Let w be (-9)/(1*6/(-4)). Find the second derivative of 111 - 9*l**2 + w*l - 111 wrt l.
-18
Let 