- 2
Let d(c) be the second derivative of 15/2*c**2 - 11*c + 0*c**3 - 13/20*c**5 + 0*c**4 + 0. What is the first derivative of d(p) wrt p?
-39*p**2
Differentiate 31*g - 178*g + 2*g**3 - 2 + 293 - 18 - 15*g wrt g.
6*g**2 - 162
Find the third derivative of 256*r**6 + 242*r**6 - 52*r**2 - 468*r**6 wrt r.
3600*r**3
Let r(m) be the third derivative of 0*m**4 + 0*m**6 + 0*m + 0*m**5 - 1/21*m**7 + 0 + 1/3*m**3 - 11*m**2. Find the first derivative of r(v) wrt v.
-40*v**3
Let n(w) = w**3 + 13*w**2 - 4*w - 31. Let a be n(-13). Find the third derivative of 13*h**2 - 37*h**5 + a*h**2 + h**2 + h**2 wrt h.
-2220*h**2
Let d = 11 + -14. Let o be ((-2)/d)/(9/27). Differentiate 2*y**3 - 5 + 5 + o wrt y.
6*y**2
Let o = 13 + -8. Suppose o*n - 6 = 2*n. Find the first derivative of -3*i**2 - i**4 + i**2 + n*i**2 - 3 wrt i.
-4*i**3
Find the first derivative of -11*k**2 + 968*k - 96 - 9*k**2 - 965*k wrt k.
-40*k + 3
Let p be -3*(1 + 2/(-1)). What is the second derivative of -9*r + 11*r**3 + p*r**4 - 11*r**3 wrt r?
36*r**2
Find the second derivative of 80*n**2 - 32*n**2 + 35*n**2 + 3*n - 13 + 10 wrt n.
166
Let x = -3 - -16. Differentiate -x - 23*l**2 + 11*l**2 + 5*l**2 with respect to l.
-14*l
Let m(g) = 561*g**2 - 790. Let b(x) = -2810*x**2 + 3949. Let a(j) = 2*b(j) + 11*m(j). Find the first derivative of a(w) wrt w.
1102*w
Let v(f) = 2. Let s(w) = 0*w + 2*w + 13 - 9*w. Let a(y) = -2*s(y) + 10*v(y). Differentiate a(i) wrt i.
14
Let a be -3 + 7 + 1 + 0. Differentiate -6*r**2 + 0*r**2 + 6 + a - 12 wrt r.
-12*r
Let t be (4 - 4)/4 - 3*-1. What is the third derivative of -21*r**t + 17*r**2 + 30*r**3 - 30*r**3 wrt r?
-126
Find the first derivative of -3*a**3 + 45 + a**3 - 169 + 10*a**2 wrt a.
-6*a**2 + 20*a
Let w(k) be the second derivative of 6*k**2 + k + 0 - 11/2*k**3. Differentiate w(p) wrt p.
-33
Differentiate -4*d**3 - 1030 + 73 + 137*d**2 + 5*d**3 + d**3 with respect to d.
6*d**2 + 274*d
Let o(z) be the first derivative of 0*z + 0*z**3 - 28 - 1/2*z**4 - 7/2*z**2. What is the second derivative of o(w) wrt w?
-12*w
Suppose -11*i + 30 = 4*i. Find the third derivative of -8*g**3 + 22*g**2 - 11*g**3 + 10*g**2 + i*g**3 wrt g.
-102
Let y(h) = -h**4 - h**3 - h. Let i(k) = -7*k**4 + 6*k**3 + 5*k + 153. Let z(l) = i(l) + 6*y(l). Differentiate z(f) wrt f.
-52*f**3 - 1
What is the third derivative of -7*h**6 + 1 - 41*h**2 + 864*h**3 + 19*h**6 - 93*h**2 - 864*h**3 + 4*h**5 wrt h?
1440*h**3 + 240*h**2
Suppose -40*c = -46*c. Let q(h) be the third derivative of 0*h - 1/8*h**4 + c*h**3 + 0 - 4*h**2 + 1/15*h**5. What is the second derivative of q(z) wrt z?
8
Let d(y) = y + 2. Let h be d(10). Let m = -11 + h. Differentiate -3*z**2 + m + 3*z**2 - 5*z**4 with respect to z.
-20*z**3
Suppose 5*q - 19 = -4*d, 11 = -5*q - 14. What is the derivative of d - 6*g + 20*g + 3*g + 15 wrt g?
17
Let c be 38*((-10)/(-4) + -3). Let w = c + 21. Find the third derivative of 2*m**2 + m**2 - 5*m**w + 8*m**4 - 13*m**4 wrt m.
-120*m
Let w(j) be the first derivative of 7*j**5/5 + 5*j**3/2 - 9*j + 8. Let z(g) be the first derivative of w(g). What is the second derivative of z(t) wrt t?
168*t
Let t(p) be the third derivative of -17*p**2 + 3/4*p**4 + 0*p**3 + 0*p + 8/15*p**5 + 0. What is the second derivative of t(o) wrt o?
64
Let t(p) = 975*p**3 - 30*p**2 + 5*p + 32. Let g(y) = 487*y**3 - 12*y**2 + 2*y + 16. Let x(n) = -5*g(n) + 2*t(n). What is the derivative of x(q) wrt q?
-1455*q**2
Let p(m) = 1805*m**3 + 1100*m**2 - 9*m - 18. Let u(f) = 451*f**3 + 275*f**2 - 2*f - 4. Let h(o) = -2*p(o) + 9*u(o). What is the third derivative of h(l) wrt l?
2694
Let h(l) be the second derivative of -29*l**4/12 - l**3/6 + 21*l**2 + 117*l. Differentiate h(p) wrt p.
-58*p - 1
Let h(g) = 723*g**4 - 24*g**3 - 901*g. Let m(u) = 722*u**4 - 27*u**3 - 901*u. Let x(s) = -9*h(s) + 8*m(s). Find the second derivative of x(p) wrt p.
-8772*p**2
Let t(g) be the first derivative of -g**6/15 - 8*g**3/3 - 7*g**2 + 27*g + 26. Let y(r) be the first derivative of t(r). Differentiate y(c) wrt c.
-8*c**3 - 16
Let x(t) = t**3 - t**2 + 1. Let z(a) = 121*a**3 - 2*a**2 + 94*a + 2. Let l(s) = 2*x(s) - z(s). What is the second derivative of l(g) wrt g?
-714*g
What is the first derivative of -106 + 139 - 8*l**3 - 32*l**2 + 5*l**3 wrt l?
-9*l**2 - 64*l
Let g(h) be the second derivative of h**5/5 - 7*h**4/6 + 7*h**3 + 2*h + 21. Find the second derivative of g(j) wrt j.
24*j - 28
Let a(m) = m**2 - 9*m + 10. Let r be a(8). Suppose -y - 2*c = -14, y + 2*c - 20 = -r*c. Differentiate 7 - 3*t**4 - 4 - t**4 + y*t**4 with respect to t.
16*t**3
Let b(d) be the third derivative of -209*d**6/120 + 187*d**5/60 + 2*d**2 - 59*d. Find the third derivative of b(q) wrt q.
-1254
What is the second derivative of 8*r - 92*r**2 - 39*r**2 - 3 - 10 + 4 - 2 wrt r?
-262
Suppose 35*z - 92 = 13. Let i(n) be the second derivative of n - 3/2*n**2 + 0 + 1/4*n**4 + 0*n**z. What is the derivative of i(b) wrt b?
6*b
Let o = -15 - -20. Find the third derivative of -19*c**2 - 23*c**2 - 4521*c + 4521*c + 25*c**o wrt c.
1500*c**2
Let l(p) be the second derivative of 69*p**5/10 - 43*p**2/2 + 66*p. Differentiate l(s) with respect to s.
414*s**2
Let s(y) = -y**2 - y + 1. Suppose q = -0 - 6. Let a(r) = r**4 + 5*r**2 + 2*r - 6. Let o(z) = q*s(z) - a(z). Find the second derivative of o(n) wrt n.
-12*n**2 + 2
Let k(u) be the second derivative of -10*u + 0 + 0*u**3 + 3/5*u**5 + 0*u**4 - 2*u**2. What is the derivative of k(i) wrt i?
36*i**2
Find the third derivative of 2*p**4 - 109*p**5 - 35*p**2 + 226*p**5 - 146*p**5 - 24*p**2 wrt p.
-1740*p**2 + 48*p
Let s(v) = 309*v**2 + 10*v - 495. Let n(m) = 155*m**2 + 4*m - 248. Let l(t) = -5*n(t) + 2*s(t). Find the first derivative of l(h) wrt h.
-314*h
Let p = 2 + 1. Suppose 3*t - 1 + 2 = 2*h, 3*h + p*t = 9. Find the second derivative of h*r**5 - 8*r**5 - 5*r - 3*r wrt r.
-120*r**3
Let p be 2 + (-2)/(-3)*-3. Suppose 5*b - 8 - 17 = p. What is the first derivative of -28 + 12 - b*a + 13 wrt a?
-5
Let z(q) be the second derivative of 16*q - 13*q**2 + 0*q**4 + 0*q**3 + 0 + 13/10*q**5. Find the first derivative of z(d) wrt d.
78*d**2
Let r(l) = l + 14. Let v be r(-4). What is the second derivative of -2639 + 17*q**4 + 2639 + v*q wrt q?
204*q**2
Let h(n) = n - 10. Let d be h(9). Let k(i) = -5*i - 2. Let m be k(d). What is the third derivative of -m*a**4 + 0*a - a**2 + 2*a - 2*a wrt a?
-72*a
Let l(q) be the first derivative of -85*q**7/7 - q**3/3 + 81*q**2/2 + 271. What is the third derivative of l(f) wrt f?
-10200*f**3
Let a(n) be the first derivative of 42*n**3 - 55*n - 228. What is the first derivative of a(y) wrt y?
252*y
What is the derivative of 4*k**2 - 4*k**2 - 14*k**3 - 956*k + 6 + 21*k**3 - 8*k**3 wrt k?
-3*k**2 - 956
Let q(g) = 82*g**3 - 3*g**2 + 44*g + 5. Let h(p) = p**2 - p - 1. Let n(m) = 5*h(m) + q(m). What is the third derivative of n(z) wrt z?
492
Let s(a) = -402*a**2 - 746*a - 5. Let w(k) = 604*k**2 + 1119*k + 7. Let u(z) = -7*s(z) - 5*w(z). Find the second derivative of u(q) wrt q.
-412
Let f(p) be the first derivative of -13*p**3/3 + 11*p**2 - 2*p - 38. Find the second derivative of f(g) wrt g.
-26
Suppose 5 = 5*i, 5*i - 103 - 14 = -4*u. Differentiate -17*m + 8 + u*m - 20*m with respect to m.
-9
Let k(o) be the first derivative of 5*o**3/3 - 10*o**2 - 3. Let c(p) = 4*p**2 - 19*p. Let t(d) = 4*c(d) - 3*k(d). What is the second derivative of t(g) wrt g?
2
Let v = -56 - -196. Find the second derivative of v - 140 - 4*b**2 + 11*b wrt b.
-8
Suppose 0 = -4*c - 1 + 17. What is the derivative of -5*j + c*j - 18*j - 13 - 3*j wrt j?
-22
Let m be (-6 - -8)*3/2. Find the second derivative of m*i + 8*i + 0*i + 18*i**5 + 17*i wrt i.
360*i**3
Suppose -2*j = -0*j - 6. Suppose -3*l - 8 = j*i - i, -2*l - 4 = 2*i. Differentiate -2 - i*a - 4 - 8*a wrt a.
-10
Find the second derivative of -5*o**3 - 651*o - 41*o**3 + 1313*o - 2*o**4 + 0 + 5 - 652*o wrt o.
-24*o**2 - 276*o
Let q = 18971/168 - 789/7. Let t(u) be the third derivative of q*u**4 + 0*u**3 - 1/12*u**5 - 3*u**2 + 0 + 0*u. What is the second derivative of t(n) wrt n?
-10
Let w(r) be the second derivative of -45*r**8/28 + r**4/4 - 7*r**3/6 + r - 16. What is the third derivative of w(b) wrt b?
-10800*b**3
What is the third derivative of -21*l**2 + 5*l**5 - 13*l**3 - 7*l**5 + 2*l**5 - 2*l**5 wrt l?
-120*l**2 - 78