vative of -4*g**3 + 18*g**2 + 40*g**3 + 17 - 10*g**2 - 10*g**2 wrt g?
216
Find the first derivative of -18*c**3 + 102 + 40*c**3 + 6*c**3 - c wrt c.
84*c**2 - 1
What is the first derivative of -9*w - 27*w + 1 + 16*w - 3*w**4 - w wrt w?
-12*w**3 - 21
Suppose 2*v - 1 = -3, 4*t = 5*v + 17. Suppose t*z - s = 10, -z - 2 + 0 = 5*s. Find the second derivative of 32*m**3 + m - 43*m**z + 5*m wrt m.
-66*m
Let x(c) be the first derivative of c**10/280 - 7*c**6/120 + 2*c**3 - 16. Let n(r) be the third derivative of x(r). Find the third derivative of n(k) wrt k.
2160*k**3
Let f(g) be the third derivative of g**5/120 + g**4/24 - 11*g**3/6 - 5*g**2. Let n(r) be the first derivative of f(r). Differentiate n(y) with respect to y.
1
Let n(r) be the second derivative of -377*r**4/12 - 11*r**3/6 - 16*r**2 - 11*r - 25. Find the second derivative of n(t) wrt t.
-754
Suppose y = -6*y + 14. What is the third derivative of 2*t**3 - 19*t**y - 10*t**2 + 17*t**2 wrt t?
12
Let i(c) = c**3 + 5*c**2 - 7*c - 2. Let d be i(-6). Find the third derivative of -3*p**4 + 8*p**d - 11*p**4 + 21*p**2 wrt p.
-144*p
Let l(a) = -13*a**2 + 787*a + 321. Let j(b) = -9*b**2 + 524*b + 214. Let u(z) = 7*j(z) - 5*l(z). What is the first derivative of u(o) wrt o?
4*o - 267
Let f(b) be the third derivative of 317*b**4/8 + 207*b**3/2 - 885*b**2. What is the derivative of f(o) wrt o?
951
Find the second derivative of -142*h - 375*h**4 + 28*h + 2*h**3 + 375*h**4 - 4*h**5 wrt h.
-80*h**3 + 12*h
What is the second derivative of 93*x**3 - 1 + 227*x - 210*x**3 + 77*x**3 + 71*x**3 wrt x?
186*x
Let k(w) = -w**2 + 11*w + 9. Let s be k(11). Let o = s - 5. What is the second derivative of -4*v**4 - 5*v + 2*v**4 + 0*v + 7*v**o wrt v?
60*v**2
Let d = -163 - -163. Let z(o) be the second derivative of 0*o**3 + 5*o - 1/6*o**4 + d + 0*o**2 + 3/20*o**5. Find the third derivative of z(n) wrt n.
18
Let g(l) = -79*l + 54. Let p(d) = 161*d - 107. Let q(w) = -11*g(w) - 6*p(w). What is the first derivative of q(m) wrt m?
-97
Let m(j) be the second derivative of 0*j**3 + 9/10*j**5 + 0*j**4 + 0 + 10*j**2 - 21*j. What is the first derivative of m(n) wrt n?
54*n**2
Differentiate 114 - 141 + 107 - 27*v**3 with respect to v.
-81*v**2
Differentiate 6 - 2*a**2 - 20 - 5*a**2 + 6*a**2 + 22*a**3 with respect to a.
66*a**2 - 2*a
Let t(z) be the first derivative of 492*z**7/7 - 5*z**3/3 - 3*z**2/2 - 450. What is the third derivative of t(s) wrt s?
59040*s**3
Let d be (-1)/7 + 2/(126/261). What is the second derivative of -2*b**2 + 38*b**d - 3*b - 82 + 4*b**4 + 77 wrt b?
504*b**2 - 4
Let d(q) be the third derivative of -19*q**5/120 - 9*q**4/8 - 29*q**3/6 - 6*q**2. Let g(m) be the first derivative of d(m). Differentiate g(t) wrt t.
-19
Let f(p) = 2*p**3 - 31*p**2 - 3*p - 55. Let h(l) = -l**2 + l + 1. Let q(y) = f(y) + 3*h(y). What is the first derivative of q(v) wrt v?
6*v**2 - 68*v
Let h be (-3 + (-201)/(-72))*-4. Let z(n) be the second derivative of 0*n**2 - h*n**3 + 0 + 2*n + 5/12*n**4. Find the second derivative of z(l) wrt l.
10
Let c(b) = -6*b - 12. Let l(i) = -i - 2 - 6 + 4 + 3. Let m(z) = -2*c(z) + 22*l(z). What is the first derivative of m(j) wrt j?
-10
Let g(j) be the third derivative of j**5/20 - 2*j**4/3 - 113*j**3/3 - 22*j**2. Find the first derivative of g(f) wrt f.
6*f - 16
Let u(n) = -2*n**2 + 15*n - 13. Let v be u(6). Find the third derivative of -17*m**2 + 5*m**5 + 9*m**v + 2*m**5 wrt m.
960*m**2
Suppose 3*o - 3*b = -0*b + 18, -3*b + 42 = 3*o. Let s be (-12)/o*(-45)/18. What is the derivative of -s + 4 + 5 - 2 + 5*k wrt k?
5
Let p(s) = 17*s**3 - 79*s**2 - 6*s - 158. Let d(j) = 15*j**3 - 77*j**2 - 5*j - 156. Let n(t) = 7*d(t) - 6*p(t). What is the second derivative of n(a) wrt a?
18*a - 130
Differentiate 158 + 0*z + 515*z + 60*z wrt z.
575
Suppose -8*u = -10*u - 76. Let x = u + 40. Find the third derivative of 20*n**2 - 3*n**4 + n**2 - 8*n**x wrt n.
-72*n
Suppose 9*y - 65 = -4*y. Find the second derivative of -98*q + 192*q + 20*q**y + 6*q**5 - 99*q wrt q.
520*q**3
Let s(z) = -6*z - 8. Let n be s(-4). Suppose -3*a + n = a. Find the third derivative of 3*h**4 - 4*h**a - 8*h**2 + 6*h**2 - 8*h**2 wrt h.
-24*h
What is the second derivative of 0 - 1 + 2*q**3 + 100*q**5 - 1 + 62*q - 2*q**3 wrt q?
2000*q**3
Let d(q) = -2*q**3 + q. Let a(t) = 3*t**3 + t**2 - 151*t. Let l(z) = a(z) + 5*d(z). What is the second derivative of l(p) wrt p?
-42*p + 2
Let m(z) be the first derivative of 1/3*z**3 + 0*z**2 + 0*z**5 + 2/3*z**6 + 0*z**4 - 6 + 0*z. Find the third derivative of m(g) wrt g.
240*g**2
Let z(j) = 263*j**2 + 9*j - 44. Let p(q) = -53*q**2 - 2*q + 9. Let s(r) = -11*p(r) - 2*z(r). Find the second derivative of s(b) wrt b.
114
Let h(a) = -345*a + 83. Let d(u) = -2073*u + 499. Let v(w) = 2*d(w) - 13*h(w). Differentiate v(m) wrt m.
339
Suppose 5*y = 4*i + 2*y + 26, 4*i = -5*y - 10. Let w be (8 - -2) + (i - -2). Find the second derivative of -4*x + 4*x**4 + w*x + 2*x**4 wrt x.
72*x**2
Suppose 123 = -6*i + 381. Find the second derivative of -i*h**4 - 18*h**5 + 38*h + 43*h**4 + 48*h**5 wrt h.
600*h**3
Let q = 147 + -128. What is the derivative of 11*y - 28 + q*y + y + 0*y wrt y?
31
Let g(r) = 76*r**2 - 3*r - 19. Let j(w) = -230*w**2 + 8*w + 57. Let q(x) = 8*g(x) + 3*j(x). Differentiate q(p) wrt p.
-164*p
Let h(y) be the second derivative of -y**7/70 + y**5/120 + y**3/2 + 12*y. Let d(r) be the second derivative of h(r). Find the second derivative of d(w) wrt w.
-72*w
Let b(v) = -v**3 - 8*v**2 - v + 6. Let o be b(-8). Let k be ((-6)/6)/(1/(-3)). Find the second derivative of o + k*z**4 - 14 + 8*z + 0*z wrt z.
36*z**2
Let m(y) be the second derivative of 16*y**7/7 - y**4/4 - 11*y**3/2 - 102*y. What is the third derivative of m(d) wrt d?
5760*d**2
What is the second derivative of 190*g**4 - 11*g + 0*g**2 - 119*g**4 + 0*g**2 wrt g?
852*g**2
Suppose 0 = -2*a + 2*h + 2*h - 4, 2*h - 34 = -3*a. Find the third derivative of a*v**2 + 7*v**3 + 5*v**2 - 8*v**2 + 7*v**2 wrt v.
42
Let v(g) be the first derivative of 0*g**3 + 24 + 42*g + 1/2*g**4 + 0*g**2. What is the first derivative of v(o) wrt o?
6*o**2
Suppose -5*s = 102 - 102. Let t(v) be the second derivative of s + 6*v - 1/2*v**2 - 5/3*v**3. Differentiate t(o) with respect to o.
-10
Suppose 8*w = 4*w - 96. Let c be (w/(-30))/((-2)/(-15)). What is the third derivative of 3*h**c - 8*h**2 + 0*h**6 + 2*h**6 wrt h?
600*h**3
Let o be (5 - 3) + (-4 - -2). Suppose o = -4*w - 5 + 17. Differentiate 3 + 6*r**w - 97*r + 97*r wrt r.
18*r**2
Suppose j - 2*z + 0*z = 7, j + 4*z - 1 = 0. What is the second derivative of -9*y**5 - 8*y - 5*y**j + 18*y**5 wrt y?
80*y**3
Let h = -16 + 18. What is the second derivative of 2208*x**2 + 11*x - 38*x**5 - 2208*x**h wrt x?
-760*x**3
Let o(i) be the second derivative of i**6/3 - 57*i**2 - 3*i - 37. Differentiate o(s) wrt s.
40*s**3
Let i(p) be the first derivative of p**5/2 - 17*p**3/6 + 8*p + 17. Let u(w) be the first derivative of i(w). Find the second derivative of u(q) wrt q.
60*q
Let s(o) be the second derivative of -7*o**6 - 74*o**3/3 - 141*o - 1. What is the second derivative of s(k) wrt k?
-2520*k**2
Let y(q) be the first derivative of 2*q**5/5 - 10*q**3 + 135*q**2/2 - 123. What is the second derivative of y(v) wrt v?
24*v**2 - 60
Let i(a) be the second derivative of 34*a**5/5 - a**4/4 + 223*a**2/2 - 575*a. What is the derivative of i(c) wrt c?
408*c**2 - 6*c
Suppose 4*p = 5*p. Suppose p = 11*y - 6*y - 10. Differentiate -y - 5 + 3 - 5*j wrt j.
-5
Let h(s) be the third derivative of s**9/504 - s**8/112 + 41*s**5/30 + 2*s**2 - 14. What is the third derivative of h(f) wrt f?
120*f**3 - 180*f**2
Let f = -2 - -8. Suppose 9*t - 11 = -3*m + 10*t, -2*t = -4*m + 12. What is the third derivative of 19 - f*i**5 - 6*i**2 - 19 - i**m wrt i?
-420*i**2
Find the third derivative of -c**3 + c**3 - 316*c**2 - 2*c**4 - 8*c**4 + 3*c**3 + 2*c**4 wrt c.
-192*c + 18
Find the first derivative of 161 - 720*w**4 + 311 + 1174*w**4 wrt w.
1816*w**3
Suppose 0 = 4*y - 5*q - 27, -3*y - 2 = 5*q + 4. What is the first derivative of -46 - 34*c**4 + 35*c**4 - 21*c**2 - 8*c**2 - y*c**2 wrt c?
4*c**3 - 64*c
Let x(a) = 9*a**5 - 11*a**2 + 3. Let m(h) = 8*h**5 - 18 + 22 - h**2 - 10*h**2. Let y(b) = -3*m(b) + 4*x(b). What is the third derivative of y(c) wrt c?
720*c**2
Let t(x) be the third derivative 