72*d
Differentiate -9 + 63*r**2 + 44 + 48*r**2 + 78 + 8 with respect to r.
222*r
Let y(d) = d**4 - d**3 - d**2 + d - 3. Let q(b) = -25*b**4 - 3*b**3 - b**2 - 37*b - 19. Let m(l) = -q(l) + 3*y(l). What is the second derivative of m(i) wrt i?
336*i**2 - 4
Let s(v) = 33*v**3 - 20*v. Let m(o) = -21*o - o**3 + 17*o**3 - 5*o**3 + 21*o**3. Let r(k) = 6*m(k) - 5*s(k). Find the second derivative of r(b) wrt b.
162*b
Let b(g) = -2*g**4 + g**2 + g + 1. Let x(a) = 14*a**4 - 17*a**3 - 5*a**2 - 64*a - 5. Let y(k) = 5*b(k) + x(k). What is the second derivative of y(r) wrt r?
48*r**2 - 102*r
Suppose -5*f = 4*q - 30, 3*f - 1 + 10 = 3*q. What is the second derivative of 3*g**q - 10*g**5 + 11*g - 9*g wrt g?
-140*g**3
Let l be (-20)/(-4) + (-1)/1. Let c(b) = -b**2 + 4*b + 2. Let x be c(l). What is the third derivative of -d**2 - 4*d**5 - 4*d**x + 6*d**5 wrt d?
120*d**2
Let c(d) = d**4 + 4*d**3 + 4*d**2 + 3. Let q(n) = -2*n**3 + n**3 + 210*n**4 - n**2 - 1 - 211*n**4. Let u(z) = -c(z) - 4*q(z). Differentiate u(b) wrt b.
12*b**3
Let u be (4 + -2)*(2 - 0). Let g = u - 1. What is the second derivative of -2*y**5 + g*y - y - 2*y**5 + y wrt y?
-80*y**3
Let m = 73 - 72. Differentiate -2 + 7*g**3 - 3*g**3 - m + 7*g**3 with respect to g.
33*g**2
Let v(s) be the second derivative of 0*s**3 + 3/2*s**2 + 11*s + 0*s**5 + 0*s**4 - 1/3*s**6 + 0. Differentiate v(b) wrt b.
-40*b**3
Let o(y) be the second derivative of -22*y**5/5 + 37*y**3/6 + 5*y + 19. What is the second derivative of o(v) wrt v?
-528*v
Let q(w) = -5*w - 6. Let k(y) = -4*y - 7. Let a(o) = -7 + 3*o - 12*o + 8*o. Let u be a(-4). Let t(p) = u*k(p) + 4*q(p). Differentiate t(c) wrt c.
-8
Let x(n) = -11*n**3 - 2*n. Let f be (9/(-3) - -1) + 0. Let y(p) = 12*p**3 + p**2 + 3*p. Let q(l) = f*y(l) - 3*x(l). Find the third derivative of q(a) wrt a.
54
Let o(q) = -q**2 + 45*q - 41. Let c be o(44). Let d(m) be the first derivative of 3/2*m**2 + 7 + 2*m**c + 0*m. Find the second derivative of d(w) wrt w.
12
Find the second derivative of -12*m**2 + 849*m**4 - 2*m**3 + 12*m**2 - 849*m**4 - 455*m - 20*m**5 wrt m.
-400*m**3 - 12*m
Suppose 0 = n + 4*l + 2, 3*l + 26 = 3*n - 28. Find the second derivative of 3*o**5 + 20*o**5 - 6*o + n*o**5 wrt o.
740*o**3
Let z(j) be the first derivative of 0*j**3 + 23/4*j**4 + 0*j**2 - 14 + 21*j. What is the first derivative of z(v) wrt v?
69*v**2
Let w(l) be the third derivative of 0*l + 0*l**4 + 9*l**2 - 3*l**3 + 0*l**5 + 17/120*l**6 + 0. Differentiate w(v) wrt v.
51*v**2
Find the second derivative of -3*f**3 + 43 - 5*f**4 + 61*f - 105 + 62 wrt f.
-60*f**2 - 18*f
Let j(q) be the third derivative of -659*q**5/60 + 79*q**4/3 - 491*q**2. Find the second derivative of j(d) wrt d.
-1318
Find the first derivative of 10 + 13 + 2 + 0 + 340*r + 10 wrt r.
340
Let m(y) be the first derivative of 9 - 9/2*y**2 + 4/3*y**3 + 0*y. What is the second derivative of m(u) wrt u?
8
Let i(p) be the second derivative of 39*p - 43/30*p**6 + 0*p**3 + 0 + 0*p**2 + 0*p**5 + 31/12*p**4. What is the third derivative of i(m) wrt m?
-1032*m
Let u(q) be the second derivative of -q**8/56 + 11*q**5/30 - 2*q**2 + 22*q. Let g(r) be the first derivative of u(r). Find the third derivative of g(v) wrt v.
-360*v**2
Let b(d) be the third derivative of -4*d**2 - 2*d**3 + 0*d + 0*d**4 + 0 - 1/15*d**5. What is the derivative of b(r) wrt r?
-8*r
Let x(t) = 13 + 0*t - 3*t + 6*t**2 + t. Let u = 1795 - 1796. Let r(i) = i**2 - i + 1. Let v(q) = u*x(q) + 2*r(q). Differentiate v(j) wrt j.
-8*j
Let w(o) be the first derivative of 0*o**3 - 11/2*o**2 + 9*o + 2 + 2/3*o**4. Let l(h) be the first derivative of w(h). What is the derivative of l(f) wrt f?
16*f
Let n(h) be the first derivative of 29*h**4/4 - 2*h**3/3 - 7*h**2/2 - 6*h + 150. What is the second derivative of n(b) wrt b?
174*b - 4
Let k be (-3)/(18/4) - 308/(-66). What is the third derivative of 10*s**2 + 2*s**4 - 12*s**5 - 2*s**k - 20*s**2 wrt s?
-720*s**2
Find the second derivative of -2 - 2*u**3 + 8*u**3 + 11*u**3 - 4*u**3 - 16*u wrt u.
78*u
Let g(n) = n**2 + n - 2. Let k(v) = -v. Let i be k(-2). Let o be g(i). Find the third derivative of -2*l**3 + 2*l**3 + 7*l**o - l**2 - 8*l**4 wrt l.
-24*l
Let i(n) be the third derivative of n**5/20 - n**4/12 - n**3/6 - 7*n**2. Let k be i(2). What is the third derivative of -k*t**2 - t**5 - 5 + 5 + 0 wrt t?
-60*t**2
Let n(o) be the third derivative of -o**5/60 + 7*o**4/24 + 2*o**3/3 + 2*o**2. Let x be n(7). Find the third derivative of 2 + x*l**2 + 2 - 9*l**5 - 4 wrt l.
-540*l**2
Suppose 0 = l + 2*l + 3*y - 9, -4*l - 3*y + 14 = 0. What is the third derivative of l*p - 17*p**2 + 7*p**4 - 5*p + 15*p**2 wrt p?
168*p
Find the first derivative of 7 + 60*k**4 - 25 - 2 wrt k.
240*k**3
Let y(r) be the second derivative of -47*r**3 + 697*r**2/2 - 175*r + 3. What is the first derivative of y(a) wrt a?
-282
What is the third derivative of 89*u**3 + 155*u**2 + 0 - 5*u**4 + 96*u**3 + 0 - 201*u**3 wrt u?
-120*u - 96
Suppose a = j - 4, -12*j = -17*j - a + 8. Suppose 4*o - o + 2*q = 20, -20 = -5*q. Find the first derivative of -j - 4*i**o - 5 - 3*i**4 wrt i.
-28*i**3
Let v(x) be the second derivative of 9*x**7/2 - x**4/6 - 3*x**3 + 2*x - 51. Find the third derivative of v(z) wrt z.
11340*z**2
Let g(a) = -37*a**3 + 12*a**2 + 642*a + 17. Let m(k) = -13*k**3 + 4*k**2 + 214*k + 6. Let j(o) = 6*g(o) - 17*m(o). What is the second derivative of j(t) wrt t?
-6*t + 8
Let c(a) = 7*a**3 - 51*a**2 - 98. Let l(r) = 10*r**3 - 76*r**2 - 147. Let w(u) = 7*c(u) - 5*l(u). Differentiate w(d) wrt d.
-3*d**2 + 46*d
Let q(z) be the third derivative of -z**4/24 - 75*z**3/2 - 64*z**2 - 1. Find the first derivative of q(f) wrt f.
-1
Let t(g) be the first derivative of -18 + 23/2*g**2 + 44*g. Differentiate t(h) wrt h.
23
Find the second derivative of 22*m - 60*m**4 - 2*m**4 - 8*m**4 - 1 + 2 wrt m.
-840*m**2
What is the first derivative of -57*s + 379 - 2*s - 124*s wrt s?
-183
Let k(m) = 131*m**3 - 3*m**2 - 14*m + 394. Let x(h) = 130*h**3 - 4*h**2 - 19*h + 394. Let a(u) = 4*k(u) - 3*x(u). Differentiate a(z) wrt z.
402*z**2 + 1
Let u(v) be the second derivative of -731*v**5/20 - 121*v**3 - 7*v - 13. Find the second derivative of u(p) wrt p.
-4386*p
Let h be (-192)/18*3*-2. Let o = h - 44. What is the second derivative of -o*z**3 + 22*z**3 + 0*z + 10*z wrt z?
12*z
Let q(d) be the first derivative of -15*d**4/2 + 7*d**3 - 2*d - 151. What is the third derivative of q(h) wrt h?
-180
Let l(p) = 92*p**6 + 94*p**2 - 6. Let d(f) = -183*f**6 - 187*f**2 + 14. Let v(m) = -3*d(m) - 7*l(m). Find the third derivative of v(w) wrt w.
-11400*w**3
Let a(y) be the second derivative of 0 + 0*y**5 + 0*y**3 - 5/3*y**4 - 20*y + 0*y**6 - 5/28*y**8 + 0*y**2 + 0*y**7. What is the third derivative of a(x) wrt x?
-1200*x**3
Let a = 8 - 7. Let h(r) = 6 + 6 + 0 - 6*r + 6*r**2. Let b(n) = n**2 + 1. Let s(m) = a*h(m) - 12*b(m). What is the second derivative of s(x) wrt x?
-12
Find the first derivative of -u - 49 + 39*u**4 - 6 - 85 + 21 wrt u.
156*u**3 - 1
What is the first derivative of -19*d**2 - 13*d**2 + 57 - 746*d + 745*d wrt d?
-64*d - 1
Let i(o) be the second derivative of 91*o**3/3 - 84*o**2 - 11*o - 4. What is the derivative of i(v) wrt v?
182
Let q(c) be the first derivative of -5*c**4/2 - 77*c**2/2 - 118. Find the second derivative of q(r) wrt r.
-60*r
Suppose 5*p = -4*p + 36. Find the third derivative of 3*i - 3*i**4 - i**3 + 13*i**2 - i**3 + 5*i**4 - p*i**4 wrt i.
-48*i - 12
Let y be (-7)/4*(-48)/56. Let b(i) be the first derivative of 0*i**3 + y*i**4 + 0*i + 1 + 7/2*i**2. What is the second derivative of b(k) wrt k?
36*k
Find the second derivative of -1016*v**2 + 1016*v**2 + 144*v + 187*v**4 - 5*v**4 + 673*v wrt v.
2184*v**2
Let l(q) be the third derivative of -2*q**7/15 + 17*q**5/60 - 24*q**2 - 3. What is the third derivative of l(o) wrt o?
-672*o
Let j(h) be the second derivative of -4/3*h**3 + 0 + 6*h + 0*h**2 - 7/4*h**4. What is the second derivative of j(r) wrt r?
-42
Let v(j) = 255*j**4 - 39*j**2 + 5. Let a(l) = 170*l**4 - 26*l**2 + 3. Let w(p) = -8*a(p) + 5*v(p). Find the third derivative of w(q) wrt q.
-2040*q
Suppose 4*a + 0*a - 136 = 0. What is the second derivative of -1397*t**2 + a*t + 1397*t**2 + 21*t**5 wrt t?
420*t**3
Find the third derivative of -501*a**6 + 63 + a**2 + 2*a**2 + 14*a**6 - a**2 wr