p**2 - 127*p with respect to p.
-62*p
Let a = -9 + 12. Let g be (2/a)/(1/3). Find the second derivative of k**4 + 0*k**4 + 6*k - g*k**4 - 2*k wrt k.
-12*k**2
Find the first derivative of 89*l - 24*l + 102*l + 129 wrt l.
167
Let v(l) be the second derivative of -11/6*l**4 + 0*l**5 - 18*l + 5/28*l**8 + 0*l**2 + 0*l**6 + 0*l**3 + 0 + 0*l**7. What is the third derivative of v(k) wrt k?
1200*k**3
Let i(q) be the first derivative of q**5/15 - 7*q**4/8 + 3*q**2/2 - 27. Let a(b) be the second derivative of i(b). Find the second derivative of a(n) wrt n.
8
Suppose -2*s + 17 = -7. Differentiate -s*q**3 - 15 - 3*q**3 - 11*q**3 + 9*q**3 wrt q.
-51*q**2
Let b = -34 + 38. Let g(r) = r**3 + 7*r**2 + 5*r - 2. Let p be g(-6). What is the derivative of 1 + o**p - 5 + 0 + o**b wrt o?
8*o**3
Let f(a) = 103*a**2 + 13*a - 396. Let g(j) = -53*j**2 - 6*j + 197. Let t(c) = 6*f(c) + 13*g(c). Find the first derivative of t(u) wrt u.
-142*u
Let d(q) = 73*q**2 + 9. Let a(u) = -147*u**2 - 19. Let c(h) = -6*a(h) - 11*d(h). What is the first derivative of c(f) wrt f?
158*f
Let t(n) be the second derivative of n**7/30 + 5*n**3/2 - 8*n**2 - 13*n. Let d(x) be the first derivative of t(x). What is the first derivative of d(v) wrt v?
28*v**3
Let s(i) = 2 - 7*i**2 - 2 - 2*i + 3*i**2 - 2*i**3. Let b be s(-2). What is the second derivative of 6*d**5 + b*d - 13*d**5 + d wrt d?
-140*d**3
Let w(v) = -v**2 + v + 2. Let g(p) = 2*p**2 + 28*p - 271. Let n(k) = -g(k) + 2*w(k). Differentiate n(d) with respect to d.
-8*d - 26
Let o(w) be the second derivative of -5*w**2 + 0 - 1/2*w**3 - 8*w. Find the first derivative of o(y) wrt y.
-3
Let j(k) = 4*k - 16. Let i be j(10). What is the third derivative of -8*b**2 + 18*b**2 - i*b**6 + 7*b**6 wrt b?
-2040*b**3
Find the first derivative of 38*x**3 + 363 + 7*x - 59*x**3 + 17*x**3 wrt x.
-12*x**2 + 7
Let d(f) = f**6 - f**5 + f**4 - f. Let c(z) = 195*z**6 + 5*z**5 - 5*z**4 - 55*z**2 + 5*z. Let y(s) = c(s) + 5*d(s). Find the third derivative of y(w) wrt w.
24000*w**3
Suppose w - 6*w + 5 = 0. Let q = 1 + 2. Differentiate -4*k**q - 2*k + 2*k + 3 + w wrt k.
-12*k**2
Let t = -33 - -38. Suppose 0 = -5*m + 15, -t*r + 21 = -2*r + 2*m. What is the second derivative of -5*l - 8*l**2 + 2*l + r*l wrt l?
-16
Let l(g) = g**4 - 9*g**3 + 657*g**2 + 22*g. Let n(s) = s**4 - 5*s**3 + 329*s**2 + 12*s. Let d(u) = 6*l(u) - 11*n(u). What is the third derivative of d(k) wrt k?
-120*k + 6
Let u(v) be the second derivative of v**6/15 - 2*v**3 + 13*v**2/2 - 8*v. Let m(x) be the first derivative of u(x). Differentiate m(o) with respect to o.
24*o**2
Let i(f) = -82*f**3 + 6*f**2 + 16*f. Let k(d) = 28*d**3 - 2*d**2 - 5*d. Let q(n) = -4*i(n) - 11*k(n). What is the second derivative of q(j) wrt j?
120*j - 4
Let m = -102 + 134. Differentiate g**2 - 19 + 3*g**2 - m + 25 with respect to g.
8*g
Let x(g) = 40*g**3 + 191*g**2 - 5*g - 15. Let f(i) = 20*i**3 + 95*i**2 - 2*i - 6. Let d(y) = 5*f(y) - 2*x(y). What is the third derivative of d(n) wrt n?
120
Let p(g) = 37*g + 199. Let i(z) = 71*z + 396. Let b(y) = -4*i(y) + 9*p(y). Differentiate b(v) wrt v.
49
What is the first derivative of 60*w - 15*w + 44 + 5 + 60*w wrt w?
105
Let x = 28 + -26. Let t(s) = -s - 3*s + 2*s + s**2 - 10 - x*s. Let f(g) = -g**2 + 3*g + 10. Let h(v) = 4*f(v) + 3*t(v). Differentiate h(m) with respect to m.
-2*m
Let h(o) = -6*o**3 + 86*o**2 - 54*o - 7. Let q(k) = -4*k**3 + 58*k**2 - 36*k - 5. Let v(n) = -5*h(n) + 7*q(n). What is the second derivative of v(z) wrt z?
12*z - 48
Suppose -4*v + y + 16 = 2*y, 3*y = 3*v - 12. Suppose 2*a - 7*a + 5*u + 15 = 0, 0 = 4*a - 2*u - 16. Find the third derivative of z**2 - 27 + 27 - v*z**a wrt z.
-240*z**2
Differentiate -19*j - 141*j**2 + 96*j**2 + 484 + 63*j**2 with respect to j.
36*j - 19
Let p(l) be the third derivative of 22*l**8/21 + l**4/24 + 107*l**3/3 + 565*l**2. Find the second derivative of p(j) wrt j.
7040*j**3
Let z(b) be the second derivative of b**6/20 + b**4/8 - b**2 + 12*b. Let n(l) be the first derivative of z(l). Find the second derivative of n(j) wrt j.
36*j
Let k(f) = -f. Let w(d) = -10*d - 5. Let u(t) = t. Let z(x) = -3*u(x) + w(x). Let i(s) = 4*k(s) - z(s). What is the first derivative of i(m) wrt m?
9
Let p(l) = 673*l**4 + 6*l**3 - 6*l**2 - 282*l + 12. Let u(r) = r**4 - r**3 + r**2 - r - 2. Let n(t) = p(t) + 6*u(t). Find the second derivative of n(f) wrt f.
8148*f**2
Let k(c) = -c**3 - c + 1. Let x(t) = 19*t**3 - 17*t**2 - 2*t + 2. Let n = 122 - 123. Let r(u) = n*x(u) + 2*k(u). Find the third derivative of r(f) wrt f.
-126
Suppose 4*u + u = 25. What is the second derivative of -5*z - 45*z**5 + 24*z**u + 19*z wrt z?
-420*z**3
Let o(w) be the second derivative of 7*w**4/12 - w**3/6 - 33*w**2/2 + 53*w. Find the second derivative of o(q) wrt q.
14
What is the third derivative of -56*g**2 + 14*g**3 - 2*g**4 + 24*g**2 - 44*g**3 wrt g?
-48*g - 180
Let a(v) = 26*v**4 - 5*v**3 + 15*v + 65. Let u(g) = 14*g**4 - 3*g**3 + 8*g + 33. Let w(j) = -3*a(j) + 5*u(j). What is the derivative of w(r) wrt r?
-32*r**3 - 5
Let w(h) = -h**2 - 12*h. Let c be w(-10). Let j = -14 + c. What is the second derivative of 4*l**4 - j*l**4 - 5*l + 4*l**4 + 3*l**4 wrt l?
60*l**2
Find the second derivative of -91*g**3 + 0 - 4 + 10 + g + 11 wrt g.
-546*g
Suppose 0 = 13*q - 10*q - 6. What is the second derivative of 25*w + 868*w**2 + 26*w**4 - 868*w**q wrt w?
312*w**2
Suppose a + 36 = 9. Let g be (-126)/a - (-2)/6. Find the first derivative of -4*c**4 + 8*c**4 - 4 + g*c**4 wrt c.
36*c**3
Let k(u) be the third derivative of u**8/336 - 16*u**7/35 - 7*u**4/8 - 59*u**2 + 2*u. Find the second derivative of k(b) wrt b.
20*b**3 - 1152*b**2
Let v(r) = -279*r**2 + 10*r + 81. Let j(t) = t**2 - 3*t - 1. Let z(m) = 4*j(m) + v(m). What is the second derivative of z(a) wrt a?
-550
Let d(q) = 1323*q**3 - 973*q**2 - 15. Let j(k) = 661*k**3 - 486*k**2 - 9. Let z(i) = -3*d(i) + 5*j(i). Find the third derivative of z(w) wrt w.
-3984
Suppose -2*z = -6, -11 = y - 3*z - 4. Let f = -6 + 9. Find the third derivative of f*c**3 + c**3 - 6*c**3 - y*c**2 wrt c.
-12
Let x(m) = -m**3 - m**2. Let t be x(-2). Let u(n) be the third derivative of 1/24*n**t - n**2 + 0 + 0*n + 2/3*n**3. Differentiate u(c) with respect to c.
1
Differentiate -74*b - 88*b - 7 + 46*b + 2 - 2 with respect to b.
-116
Let l(q) be the second derivative of -q**7/14 - 11*q**6/30 - q**4/12 - 29*q**2 + 131*q. Find the third derivative of l(w) wrt w.
-180*w**2 - 264*w
Let z(o) = o**2 + 7*o + 12. Let v be z(-5). What is the derivative of -10*h**3 - 4 - 33*h**v + 33*h**2 wrt h?
-30*h**2
Let n(z) be the third derivative of -67*z**6/120 + z**5/30 - 3*z**4/8 - 7*z**3/3 + 227*z**2 - 2. Find the second derivative of n(v) wrt v.
-402*v + 4
Let c be (2/1 - -9) + -2. Let x = c + -7. Find the second derivative of 3*j**2 - 5*j**2 + 4*j**x - 5*j wrt j.
4
Suppose 3*h = -5*b + 74, 3*h - 7 = -4*b + 54. What is the derivative of -4 - 54*m**2 + 75*m**2 + b wrt m?
42*m
Let u(f) be the first derivative of 0*f**5 - 10 - 5/6*f**6 + 0*f + 0*f**2 + 0*f**4 - 5/3*f**3. What is the third derivative of u(c) wrt c?
-300*c**2
Find the first derivative of -4*t**2 + 137 + 108*t**4 + 4*t**2 - 181*t**4 wrt t.
-292*t**3
Suppose -71 = -5*h + 2*y - 6*y, 0 = -2*h + y + 31. Let q be ((-72)/h)/(3/(-20)). Find the second derivative of f**5 + q*f + 3*f**5 - 31*f wrt f.
80*f**3
What is the second derivative of -670*n**5 + 7*n**2 + 72 + 122 - 7*n**2 + 30*n - 28*n wrt n?
-13400*n**3
Suppose 2*i + 1 + 6 = n, 18 = 4*n - 3*i. Suppose 3*q - n = 3*c - 0, 4*c - q = 11. Find the first derivative of 5 + 2*t**4 - 2 - t**4 - c wrt t.
4*t**3
Let f(b) be the first derivative of -21*b + 0*b**3 + 21 + 19/4*b**4 + 0*b**2. What is the first derivative of f(l) wrt l?
57*l**2
Let b(s) be the first derivative of 9 + 0*s**4 - 16/3*s**3 + 0*s + 2*s**7 + 0*s**5 + 0*s**6 + 0*s**2. What is the third derivative of b(x) wrt x?
1680*x**3
Let k(m) be the second derivative of 2*m**3 + 0 - 3/40*m**5 - m + 0*m**2 - 5/12*m**4. Let i(d) be the second derivative of k(d). Differentiate i(f) wrt f.
-9
Find the first derivative of -2*a**2 - 8*a**2 + 45*a - 44*a - 6*a**2 - 387 wrt a.
-32*a + 1
Let h be ((-20)/(-16))/(1/8). Suppose 11 = 3*u + 2*u - 3*s, 2*u - 5*s + 7 = 0. Find the first derivative of -4 + 2*y**u - h*y**4 + 4*y**4 wrt y.
-16*y