120*p**3 + 7500*p**2
What is the first derivative of -23*i**2 - 20*i**2 + 25 + 10 + 41*i**2 + 92*i wrt i?
-4*i + 92
Suppose -2*m = m + 12, -g + 3*m + 17 = 0. What is the first derivative of -10*z + 0*z + g + 6 + 7*z wrt z?
-3
Find the third derivative of v + 2*v**3 - 52*v**4 - 4*v - 5*v**4 + 20*v**2 + 141*v**4 + 4*v wrt v.
2016*v + 12
Let z(m) be the first derivative of 53*m**4/12 + 22*m**3/3 - 3*m - 45. Let j(v) be the first derivative of z(v). Find the second derivative of j(y) wrt y.
106
Suppose 99 = 2*r - 297. Find the first derivative of -3*j + 12*j**4 - 169 + r + 3*j wrt j.
48*j**3
Let k(f) be the second derivative of 0*f**5 + 0*f**6 + 5/42*f**7 + 0 + 0*f**3 + 11/12*f**4 + 6*f + 0*f**2. What is the third derivative of k(c) wrt c?
300*c**2
What is the second derivative of 2040*k**4 + 8 + 3*k - k - k**2 + 20*k**5 - 2040*k**4 wrt k?
400*k**3 - 2
What is the second derivative of -29*t - 2 - 169*t**2 + 101*t - 140*t**2 + 195*t + 109*t**2 wrt t?
-400
Let y(w) = 1069*w**2 + 11*w - 643. Let t(h) = 355*h**2 + 4*h - 215. Let f(k) = 11*t(k) - 4*y(k). Differentiate f(n) wrt n.
-742*n
Let n(l) = l**3 + 10*l**2 + 7*l - 18. Let m be n(-9). What is the derivative of 0 - 6 - 11*b**2 - 9 + m*b**2 wrt b?
-22*b
Let c(m) = 8*m - 6. Let j(n) = n**2 + 13*n - 28. Let l be j(-15). Let f be c(l). What is the second derivative of 35*d**2 + 8*d**3 - f*d - 35*d**2 wrt d?
48*d
Let v(g) be the first derivative of 71*g**3/3 - 114*g + 88. What is the first derivative of v(m) wrt m?
142*m
Let g(t) = 4*t + 23. Let o be g(-6). Let y(p) = 56*p**3 + 8. Let l(d) = 1. Let k(s) = o*y(s) + 3*l(s). What is the first derivative of k(z) wrt z?
-168*z**2
Let z(t) be the third derivative of t**7/210 + 7*t**6/60 - 73*t**3 + 403*t**2. What is the first derivative of z(b) wrt b?
4*b**3 + 42*b**2
Let t(r) = -r + 1. Let v be t(-1). Suppose -96 = -v*h + 212. Find the third derivative of -154*m + h*m - 5*m**4 - 5*m**2 + 13*m**2 wrt m.
-120*m
Find the third derivative of 11*g + 8*g**2 - 55*g**5 - 23*g**2 + 17*g**2 - 23*g**5 wrt g.
-4680*g**2
What is the second derivative of 115*t**5 - 3475*t**2 + 60*t + 3475*t**2 wrt t?
2300*t**3
Find the second derivative of -9*v + 1 + 253*v**2 + 3 - 6 - 206*v**2 wrt v.
94
Suppose 0 = -2*u + 21 + 1. Let y = 14 - u. Find the third derivative of -8*k**3 + 5*k**y - 6*k**2 - 2*k**3 wrt k.
-30
Let h(f) be the first derivative of 256*f**5/5 + f**4/2 + 21*f**2/2 + 2*f - 91. Find the second derivative of h(b) wrt b.
3072*b**2 + 12*b
Let w(q) be the first derivative of -23*q**5/5 - 77*q**3/3 - 5. What is the third derivative of w(g) wrt g?
-552*g
Let o be 1 + -5 + 1 - -13. Find the third derivative of o*h**2 - 3*h**2 - 2*h**2 - 12*h**4 - 4*h**2 wrt h.
-288*h
Let r(m) be the first derivative of -14*m - 7/2*m**2 - 18. Find the first derivative of r(o) wrt o.
-7
Suppose -4*o + 3*h = -12, -12 = -0*o - 2*o + 3*h. Suppose 0 = -16*z + 51 - 19. What is the second derivative of z*g**4 - 8*g + 1 + o*g**4 - 1 wrt g?
24*g**2
Let p(r) be the second derivative of 0*r**6 + 0*r**2 + 0*r**4 + 0 - 2/3*r**3 + 0*r**5 - 2*r - 1/3*r**7. Find the second derivative of p(f) wrt f.
-280*f**3
Let t(q) = -19*q**3 + 2*q**2 - 7*q + 1. Let p(s) = -10*s**3 + 2*s**2 - 4*s + 1. Let h(x) = 5*p(x) - 3*t(x). What is the second derivative of h(a) wrt a?
42*a + 8
Let f(k) be the second derivative of 7/12*k**4 + 0 - 13/2*k**2 + 0*k**3 + 10*k. Differentiate f(h) wrt h.
14*h
Suppose -3*t + t - 4 = 0, z + 2*t - 3 = 0. Suppose -3*u + 10*u - 35 = 0. Differentiate 7*c - 4*c + z - u*c - 3*c wrt c.
-5
Let t(f) = -f**3 - 15*f**2 - 10*f - 38. Let g be t(-18). Find the second derivative of 1114*a**3 + 45*a - g*a**3 - a**4 wrt a.
-12*a**2
Let t(d) = 3*d**2 - 7*d + 2. Let y be (7/(-3))/(4/(-36)). Let n(u) = u**2 - u + 1. Let b(x) = y*n(x) - 3*t(x). Find the first derivative of b(p) wrt p.
24*p
Let z(g) = -3 + 47*g + 5*g**3 + 33 - 12*g. Suppose -2*d = 3*d - 150. Let l(u) = -u - 1. Let s(p) = d*l(p) + z(p). What is the second derivative of s(c) wrt c?
30*c
Let y(c) = c**2 + 11*c + 4. Let d be y(-11). Suppose -7 = -v - d. What is the second derivative of v*m**2 + 3*m**2 + 2*m - m**2 wrt m?
10
Let c = 7 + -7. Suppose 5*i - 10 + c = 0. Find the first derivative of 2*x**3 + 4*x**i + 3*x**3 - 4*x**2 + 3 wrt x.
15*x**2
Let v be (-2)/(-5)*(13 - 8). Suppose 3*c = 2*i + 20, -4*c - v*i = -0*i - 8. Find the first derivative of -3 - 1 - 6*d**c + 6 - 11 wrt d.
-24*d**3
Suppose 5 = -w + 3*d, -4*w - 2*d = -w - 7. What is the derivative of -3 + 2 - 32*r - w - 16 wrt r?
-32
Let d(s) be the third derivative of -3*s**8/14 + 53*s**5/30 + 94*s**2. Find the third derivative of d(x) wrt x.
-4320*x**2
Let r(n) be the third derivative of 29*n**6/120 + 137*n**3/2 - 638*n**2. Find the first derivative of r(a) wrt a.
87*a**2
Let j(m) = 4*m**2 + 1. Let l be j(-1). Let z = 21 + -16. Find the second derivative of p - 2*p**l + 0*p - z*p - 2*p wrt p.
-40*p**3
Let a(o) = 72*o - 4 - 89*o + 1 - 9*o**2. Let u(r) = r**2 + 1. Let h(g) = 2*a(g) + 6*u(g). What is the second derivative of h(k) wrt k?
-24
Let j = 51 - 27. Suppose -j = -6*p + 18. Find the first derivative of -p + 5*h + h - 3 + 1 wrt h.
6
Let g(b) be the first derivative of b**4/2 + 8*b**3 - 3*b**2/2 - 98. What is the third derivative of g(d) wrt d?
12
Let v(y) = y + 13. Let f be v(-7). What is the third derivative of 2*m**2 + 8*m**2 + f*m**2 + 15*m**6 - 5*m**2 wrt m?
1800*m**3
Let m(g) be the third derivative of 0*g**3 + 13/60*g**6 + g**2 + 1/60*g**5 + 5/8*g**4 + 0*g + 2. Find the second derivative of m(h) wrt h.
156*h + 2
Let q(g) = -26*g**2 + 42*g. Suppose 4 + 3 = y. Let x(i) = -9*i**2 + 14*i. Let a(s) = y*x(s) - 2*q(s). What is the second derivative of a(d) wrt d?
-22
What is the derivative of -74*j**4 + 46 - 15 + 23 wrt j?
-296*j**3
Let f(j) = 7*j - 33. Let l be f(6). Find the first derivative of -12*r**2 + 15 - l*r**3 + 3*r**2 + 7*r**2 wrt r.
-27*r**2 - 4*r
Let z(y) be the second derivative of -17/20*y**5 + 0*y**2 + 0 - 2*y + 5/4*y**4 + 0*y**3. What is the third derivative of z(s) wrt s?
-102
What is the second derivative of -21*n**4 + 25*n - 6*n + 738*n**3 - 738*n**3 - 10*n**4 wrt n?
-372*n**2
Let a(c) = 2*c**3 - c**2 + 1. Let q be a(1). Find the third derivative of 7*b**6 + 34*b**4 - 21*b**q - 34*b**4 wrt b.
840*b**3
Let y = -29 - -48. Suppose 2*n + 3*o = y, 4*o = 2*n + 2*o - 24. Differentiate -11*w + 3*w**3 + n*w - 7 + 3*w**3 wrt w.
18*w**2
Let h(q) be the third derivative of -5*q**5/12 - q**4/12 + 31*q**3/6 + 182*q**2. Differentiate h(w) wrt w.
-50*w - 2
Let u(l) = 74*l**3 + 4*l**2 + 45*l. Let d(r) = -149*r**3 - 10*r**2 - 91*r. Let t(m) = -2*d(m) - 5*u(m). What is the second derivative of t(h) wrt h?
-432*h
Suppose -3*z - 1824 = -4*y + y, 1213 = 2*y - 5*z. Differentiate -17*b**2 - 609*b + y*b + 12 with respect to b.
-34*b
Let o(c) be the second derivative of 3*c**6/2 - 69*c**2/2 - c - 19. What is the derivative of o(p) wrt p?
180*p**3
Find the third derivative of 28*i**5 + 3*i**2 + 61 - 7*i**2 - 2*i**4 + 6*i**2 - 4*i**2 wrt i.
1680*i**2 - 48*i
Let b(y) be the second derivative of 10*y**8/7 + y**6/30 - 97*y**4/4 - 214*y. What is the third derivative of b(m) wrt m?
9600*m**3 + 24*m
Let q(m) be the third derivative of 0*m**4 + 0*m**6 - 3/20*m**5 + 0*m + 34*m**2 + 0*m**3 + 0 - 31/210*m**7. Find the third derivative of q(v) wrt v.
-744*v
Suppose 0 = 4*v + 3*p - 12919, -7451 = -3*v + p + 2248. What is the third derivative of v*h**3 + 32*h**4 + 25*h**2 - 3232*h**3 wrt h?
768*h
Let c be (-1410)/(-9) + 3*2/(-9). Find the first derivative of c*d - 150*d - 4 + 2 wrt d.
6
Let m = 457 - 191. Find the second derivative of 29*t**2 + m*t - 11 + 266*t - 530*t wrt t.
58
Let v(n) be the third derivative of 271*n**6/120 - 769*n**5/60 + 24*n**2 + 11*n. What is the third derivative of v(c) wrt c?
1626
What is the derivative of 20 + 199 + 5*i + 10 + 73*i wrt i?
78
What is the second derivative of 54*z + 33*z + 3*z**5 + 10*z**3 + 28*z**3 - 13*z wrt z?
60*z**3 + 228*z
Let x = 13 + -8. Suppose 3*d - x*d = -64. What is the second derivative of 10*r - 5*r**2 - 32 + d wrt r?
-10
Let s = 5 - 1. Suppose 3*n + s*h = -7, 5*h + 5 = -n - 4*n. What is the second derivative of -3*a - 50*a**3 + 48*a**n + 2*a wrt a?
-12*a
Let u(b) be the second derivative of b**6/15 - 29*b**4/12 + 61*b**2/2 + 43*b. Differentiate u(w) wrt