 v(n) = -8*n**4 - 20*n**2 + 12. Let g(x) = s*v(x) + 12*t(x). Find the third derivative of g(h) wrt h.
-96*h
Let v(a) be the third derivative of 0*a**4 + 2*a**3 + 0*a - 1/210*a**7 + 0*a**6 + 0*a**5 - 8*a**2 + 0. What is the first derivative of v(c) wrt c?
-4*c**3
What is the derivative of 11 + 35*a - 15 + 73 - 8*a + 23 wrt a?
27
Let w(u) = -498*u**3 - 846*u**2 + 27*u + 27. Let x(v) = 71*v**3 + 121*v**2 - 4*v - 4. Let y(z) = 4*w(z) + 27*x(z). What is the third derivative of y(o) wrt o?
-450
Let g(u) be the second derivative of -14*u + 0*u**5 + 0 + 0*u**2 - 11/30*u**6 + 35/12*u**4 + 0*u**3. Find the third derivative of g(t) wrt t.
-264*t
Suppose 3*k - 15 = -2*i, -2*k - 2*i = 2*i - 18. Find the third derivative of 2*r**k - r**6 - 2*r**2 - 16*r**6 - 2*r**3 wrt r.
-2040*r**3
Suppose 2*h + 182 = 4*y, 2*h + h - 49 = -y. Differentiate -17*u**2 - 46*u - 7 + y*u with respect to u.
-34*u
Let k(y) be the third derivative of -1/4*y**6 - 27*y**2 + 0*y**5 + 0*y**3 + 0*y - 13/24*y**4 + 0. What is the second derivative of k(g) wrt g?
-180*g
Let g(b) = b**3 - b**2 + 1. Let f(y) = 49*y**3 + 5*y**2 + 3*y - 516. Let n(x) = f(x) + 5*g(x). Differentiate n(d) with respect to d.
162*d**2 + 3
Let r(u) be the third derivative of 0 + 0*u**4 - 13/6*u**3 - 13/120*u**6 + 0*u - 5*u**2 + 0*u**5. Differentiate r(p) with respect to p.
-39*p**2
Find the third derivative of -59*l**3 - 80*l**2 - 654*l + 654*l wrt l.
-354
Let h(s) be the second derivative of -s**7/210 - 11*s**3/2 - 3*s**2 + 6*s. Let f(d) be the first derivative of h(d). What is the derivative of f(i) wrt i?
-4*i**3
Find the third derivative of -46 + 42 + 4 + 240*h**2 + 433*h**3 wrt h.
2598
Let c = -22 + 28. Suppose -m - c = -10. What is the first derivative of -21 + 3*i**4 + 9 + 9*i**m wrt i?
48*i**3
Let y(l) be the second derivative of -127*l**5/20 + 51*l**4/4 - 45*l + 2. Find the third derivative of y(w) wrt w.
-762
Let g(m) be the first derivative of -16*m**3/3 + 3*m**2 - 263*m - 98. Differentiate g(u) wrt u.
-32*u + 6
Suppose 0 = -0*c + 3*c - 6. Let m be -5 + (-3)/6*-14. What is the first derivative of 3*h**2 + 3 - c*h**2 + h**2 + m*h**2 wrt h?
8*h
Let b(r) be the first derivative of 3*r**7/280 + 11*r**4/8 + 10*r**3/3 + 37. Let y(o) be the third derivative of b(o). Differentiate y(p) with respect to p.
27*p**2
Let g(r) be the first derivative of r**4/4 + 10*r**3/3 - 169*r**2/2 + 175. Find the second derivative of g(i) wrt i.
6*i + 20
Let l(t) be the third derivative of 41*t**4/24 + t**3 + 2*t**2 - 8*t. Find the first derivative of l(k) wrt k.
41
Let p(a) = a - 1. Let i be p(6). What is the third derivative of 45*g**2 - i*g**6 - 27*g**2 - 6*g**6 wrt g?
-1320*g**3
Let x(q) = 39*q**4 + 22*q**3 - 116*q + 4. Let n(g) = -59*g**4 - 34*g**3 + 175*g - 6. Let t(f) = 5*n(f) + 8*x(f). Find the second derivative of t(y) wrt y.
204*y**2 + 36*y
Let d(m) = 96*m**3 + 90*m**2. Let a(c) = 95*c**3 + 91*c**2. Let j(h) = -5*a(h) + 4*d(h). Find the third derivative of j(v) wrt v.
-546
Find the third derivative of -84*y**2 + 42*y**2 - 6*y**3 + 44*y**2 - 14*y + 9*y**6 wrt y.
1080*y**3 - 36
Let w = -55 - -80. Suppose -14*n + 19*n - w = 0. Differentiate n + 3 + 12*g - 3*g with respect to g.
9
Suppose -6 = 4*u - 38. Let l = 168 - 160. Differentiate -u*q + l + 0*q + q wrt q.
-7
Let i(c) = -124*c**3 + 6*c**2 - 333*c - 12. Let o(z) = -125*z**3 + 5*z**2 - 329*z - 10. Let q(l) = 5*i(l) - 6*o(l). Find the second derivative of q(m) wrt m.
780*m
What is the second derivative of 22*v + 6*v**3 - 31*v - 2*v**3 + v**5 - 5*v**3 - 100*v wrt v?
20*v**3 - 6*v
Let w = 2/33 - -1/165. Let o(n) be the third derivative of 3*n**2 + 0 + w*n**5 + 0*n**4 + 0*n**3 - 1/60*n**6 + 0*n. Find the third derivative of o(s) wrt s.
-12
Let u(t) be the first derivative of 34*t**5/5 + t**3/3 - 220*t - 106. Find the third derivative of u(z) wrt z.
816*z
Let y(c) = -c**3 - c - 1. Suppose -4*t - 9 = -1. Let b(k) = -19*k**3 + 2*k**2 - 2*k - 2. Let o(u) = t*y(u) + b(u). What is the third derivative of o(j) wrt j?
-102
Let j(f) = -32*f**2 + 17*f + 272. Let y(x) = 11*x**2 - 6*x - 91. Let r(z) = 4*j(z) + 11*y(z). What is the derivative of r(l) wrt l?
-14*l + 2
Suppose 8*u - 10*u = -16. Find the first derivative of 6*v - u*v - 1 + 5 + 10*v wrt v.
8
Let y(f) = 6*f**3 + 3*f**2 - 50*f + 17. Let v(u) = -2*u**3 - u**2 + 17*u - 6. Let g(s) = -17*v(s) - 6*y(s). Find the second derivative of g(i) wrt i.
-12*i - 2
Let o(l) = 68*l**2 - 9*l - 55. Let r(n) = 203*n**2 - 24*n - 166. Let i(t) = 8*o(t) - 3*r(t). Find the first derivative of i(y) wrt y.
-130*y
Let i(g) be the second derivative of 0*g**3 + 0 + 0*g**7 - 5/7*g**8 + 0*g**6 - 36*g - 5/4*g**4 + 0*g**5 + 0*g**2. Find the third derivative of i(d) wrt d.
-4800*d**3
What is the third derivative of 3505*s - 3505*s + 48*s**6 - 125*s**2 wrt s?
5760*s**3
What is the second derivative of 2834*t**5 - 2827*t**5 + 17*t**2 - 11*t**2 + 585*t wrt t?
140*t**3 + 12
Suppose -4 = k - 0. Let p(x) = -x**3 - 4*x**2 + 4*x - 6. Let u(v) = v**3 + v**2 - v - 1. Let c(t) = k*u(t) - p(t). What is the first derivative of c(m) wrt m?
-9*m**2
Let j(f) be the third derivative of 0 + 0*f + 34*f**2 - 29/6*f**3 - 9/8*f**4. Differentiate j(l) with respect to l.
-27
Let o(c) = c**4 + c**3 - c. Let v(r) = -3*r**4 - 41*r**3 - 32*r**2 + r. Let y(w) = o(w) + v(w). What is the third derivative of y(p) wrt p?
-48*p - 240
What is the third derivative of -3 + 358*w - 358*w + 15*w**4 + 2*w**2 + 6*w**2 wrt w?
360*w
Let p(i) = 111*i**2 + 172*i + 13. Let j(x) = x**2 + 6*x + 1. Let w(h) = -78*j(h) + 6*p(h). Find the second derivative of w(r) wrt r.
1176
Let d(y) = 4 + y - 3 - 11 + y. Let l be d(6). What is the third derivative of -830 + 5*k**5 + 830 - k**l wrt k?
300*k**2
Let l(c) = -3*c + 9. Let p be l(2). What is the third derivative of 0*v**2 + 9*v**3 - 9*v**p + 3*v**5 - 3*v**2 wrt v?
180*v**2
Suppose -v = 4*u - 66, 3*u - 5*v - 38 = -0*v. Let c = u - 16. What is the third derivative of 2*m**2 + c*m**3 - 8*m**2 - 4*m**3 - 2*m**3 wrt m?
-36
What is the derivative of -287*v + 565 + 1165*v + 30*v - 267*v wrt v?
641
Let n = 20 - 17. Let x(c) = -61 - 4*c - n*c + 49 - c. Let p(y) = 16*y + 23. Let q(v) = 3*p(v) + 5*x(v). What is the derivative of q(i) wrt i?
8
Find the second derivative of -91*x - 2126*x**2 + 5 + 10 - 830*x**3 - 16 + 2126*x**2 wrt x.
-4980*x
What is the second derivative of -68 + 368*a**4 - 458*a**4 - 51*a - 506*a**4 + 66 wrt a?
-7152*a**2
Let d(g) = g + 12. Let q be d(-9). Differentiate -5*c**4 + q + c**4 - 2*c**4 - c**4 with respect to c.
-28*c**3
Let r(n) = 28*n + 33. Let f(a) = 55*a + 67. Let c(k) = 6*f(k) - 13*r(k). Find the first derivative of c(i) wrt i.
-34
Let f(z) = -19*z - 5. Let h(s) = -18*s - 5. Let d = 95 - 92. Let q(a) = d*h(a) - 4*f(a). Differentiate q(w) wrt w.
22
Let m = 67 + -60. Let l(f) = -6*f + 21. Let p(k) = 11*k - 41. Let t(n) = m*l(n) + 4*p(n). Differentiate t(x) wrt x.
2
Find the third derivative of d**2 + 289*d**3 - d + 4*d**2 + 4*d**2 + 3*d**2 wrt d.
1734
Let n be 82/4 - (-9)/18. What is the third derivative of -24*u**2 + u**2 - 18*u**3 + 18*u**3 + n*u**4 wrt u?
504*u
What is the third derivative of -18 + 4*y**2 - 34 + 3*y**2 - 4*y**2 - 34 + 47*y**4 wrt y?
1128*y
What is the derivative of 30*w**2 + 1928 - 4513 + 2219 wrt w?
60*w
Let c be (-2*1)/(3/(1053/(-6))). What is the derivative of -6 - 117*q**2 + 6*q**3 + c*q**2 wrt q?
18*q**2
Let m(r) = 2*r**2 + 4*r + 3. Let w be m(-2). Suppose 0 = 3*s - 11 + 2. Find the second derivative of j - 4*j + 3*j**w + 11*j - j**s wrt j.
12*j
Let y be (-87)/870*5/(-3). Let h(q) be the second derivative of 0*q**3 + 0*q**2 - q + y*q**4 + 1/10*q**5 + 0. Find the third derivative of h(z) wrt z.
12
Let a(r) be the first derivative of 10/3*r**6 - 13 + 0*r**4 + 0*r + 0*r**3 - r**2 + 0*r**5. What is the second derivative of a(n) wrt n?
400*n**3
Find the second derivative of -14*l**3 + 205*l + 12*l**4 - 12*l**4 - 8*l**5 + 12*l**5 - 37*l wrt l.
80*l**3 - 84*l
Find the third derivative of -39*t**2 - 40*t**2 - 61*t**2 + 15*t**2 - 17*t**2 - 83*t**6 wrt t.
-9960*t**3
Let p(a) be the third derivative of -19*a**6/8 - a**5/30 - 133*a**4/24 - 275*a**2. What is the third derivative of p(i) wrt i?
-1710
Let w(l) be the first derivative of -113*l**4/2 - 275*l - 301. Find the first derivative of w(s) wrt s.
-678*s**2
Let n(s) be the th