 - 5*r - r + 5*r**4 wrt r.
60*r**2
Differentiate -14 + 84*o**4 + 21*o**4 + 27 with respect to o.
420*o**3
Suppose a - d + 0*d = 4, -4 = -a - 5*d. Let r be a + 3 + (3 - 6). What is the derivative of 3*f**3 + 4*f**2 - r*f**2 - 4 + 6*f**3 wrt f?
27*f**2
Let j = 39 - 36. Differentiate -w**3 - 8*w**j + 4 + 4 with respect to w.
-27*w**2
Let q(s) be the second derivative of 9*s**7/14 - 5*s**4/3 - s**2/2 - s - 3. Find the third derivative of q(y) wrt y.
1620*y**2
Let i(v) be the third derivative of 11*v**2 + 3/2*v**3 + 0*v + 13/120*v**6 + 0*v**4 + 0*v**5 + 0. Find the first derivative of i(g) wrt g.
39*g**2
Find the second derivative of 472*r - 155 + 53 + 47 + 55 + 107*r**2 wrt r.
214
Let d(q) = q**5 + q**4 + q**3 - q - 1. Let x(j) = 41*j**5 + 4*j**4 + 4*j**3 + 46*j - 4. Let v(u) = -4*d(u) + x(u). What is the second derivative of v(p) wrt p?
740*p**3
Let q be 100/45 - (-10)/(-45). Let x(f) be the first derivative of 2 - 4/3*f**3 + 0*f - f**4 + 0*f**q. Find the third derivative of x(o) wrt o.
-24
Suppose -15*z + 20 = -10. What is the first derivative of 16 + 17*o**2 - 12*o**z - 19 wrt o?
10*o
Find the second derivative of -26*x**2 + 15*x**2 + 92*x + 50*x**5 + 12*x**2 + 22*x**5 wrt x.
1440*x**3 + 2
Let r(x) be the third derivative of -49*x**5/30 + x**4/2 - 12*x**2 - 1. What is the second derivative of r(v) wrt v?
-196
Let h(q) = 48*q**4 - 2*q**3 + 2*q**2 + 2*q - 398. Let m(r) = 97*r**4 - 5*r**3 + 5*r**2 + 5*r - 795. Let x(g) = -5*h(g) + 2*m(g). Differentiate x(w) wrt w.
-184*w**3
Let h(s) = 1005*s**3 - s + 4*s**4 - 1005*s**3 - 5*s**4. Let p(m) = -9*m**4 - 4*m + 6. Let t(b) = -12*h(b) + 3*p(b). What is the first derivative of t(u) wrt u?
-60*u**3
Let l(o) = o**3 + 13*o**2 - 20*o - 26. Let a be l(-14). What is the second derivative of -a*n + 28*n - 5*n**4 - 28*n**4 wrt n?
-396*n**2
Let z(b) = 150*b**3 - 36*b**2 - 12*b + 24. Let l(j) = -2*j**3 - j**2 + j - 2. Let w(k) = -12*l(k) - z(k). Find the third derivative of w(t) wrt t.
-756
Let k(y) be the second derivative of y**5/2 - 17*y**4/4 - 7*y - 2. Find the third derivative of k(q) wrt q.
60
What is the second derivative of -f**4 - 164*f**3 - 5*f - 2*f - 106*f**3 - 3 - 6 wrt f?
-12*f**2 - 1620*f
Let k(y) be the second derivative of 0*y**2 + 0 + 0*y**5 + 3/4*y**4 + 0*y**3 - 7/30*y**6 - 13*y. Find the third derivative of k(c) wrt c.
-168*c
Let f(b) = 464*b**3 + 10*b**2 - 57*b. Let g(m) = 696*m**3 + 14*m**2 - 86*m. Let i(s) = -7*f(s) + 5*g(s). What is the second derivative of i(u) wrt u?
1392*u
Let u(w) = 2*w**4 - 4*w**3 - 156*w**2 + 4*w + 449. Let i(b) = b**3 + 2*b**2 - b + 1. Let s(z) = 4*i(z) + u(z). Differentiate s(c) wrt c.
8*c**3 - 296*c
Let h(f) be the first derivative of f**8/12 - 13*f**4/8 - 9*f**2 - 39. Let r(w) be the second derivative of h(w). Find the second derivative of r(v) wrt v.
560*v**3
Let o(g) be the second derivative of -13*g**4 + 27*g**2 - 451*g. Find the first derivative of o(u) wrt u.
-312*u
Suppose a + 9 = -2*a, -72 = -4*q - 4*a. What is the first derivative of -16 - 10*f**2 - 39*f + q*f + 18*f wrt f?
-20*f
Let q = 2 + -2. Suppose 22*i - 6*i - 496 = 0. Find the second derivative of -38*p + i*p + q*p**2 + 2*p**2 wrt p.
4
Differentiate 48*j + 237*j**4 + 86 + 150*j**4 - 48*j with respect to j.
1548*j**3
Find the third derivative of -7*f**4 + 48*f**2 - 5*f**4 - 43*f**2 - 2 wrt f.
-288*f
Find the third derivative of -9*h**2 + 4 - 7*h**4 - 4 + 9*h**5 + 7*h**4 + 13 + 9*h**3 wrt h.
540*h**2 + 54
Let c(m) = m**3 - 3*m**2 - 2*m - 4. Suppose 0 = -t + 4, -16 = 3*h - 2*h - 5*t. Let s be c(h). Find the second derivative of p**4 - s*p**4 + p**4 + 2*p wrt p.
-24*p**2
Suppose -53 = -8*l + 3*l + 3*x, 0 = 4*l + x - 56. Find the second derivative of 5*v**4 - 3*v**4 + l*v - 3*v wrt v.
24*v**2
Suppose -t - m - 18 = 3*m, 4*t + 3*m + 7 = 0. What is the derivative of 0*i**2 + 0*i**t - 460 + 487 - 41*i**3 wrt i?
-123*i**2
What is the second derivative of -10*t**5 - 13*t - 8*t**5 + 3*t**5 + 56*t - 15*t**5 wrt t?
-600*t**3
Let k(y) be the second derivative of y**5/10 + 3*y**4/4 - 15*y**2 + 6*y + 3. Find the first derivative of k(g) wrt g.
6*g**2 + 18*g
Let r(c) = -2*c**2 - c + 4. Let h be r(-2). Let d be (h + -2)*(1 + -2). What is the derivative of b + 0*b + d*b + 2*b - 6 wrt b?
7
Let o = -1 + -5. Let u = 8 + o. What is the second derivative of 0*n**2 + 9*n - n - 3*n**2 - u*n wrt n?
-6
Find the first derivative of 4*z**4 + 73 + 2*z**4 + 93*z**2 - 66*z**2 wrt z.
24*z**3 + 54*z
Let r = -8 + 11. What is the second derivative of -3*d**4 + 61*d - 28*d + 12*d**5 + r*d**4 wrt d?
240*d**3
Find the second derivative of 601*j - 304*j - 11*j**3 - 25*j**3 - 303*j - 115*j**3 wrt j.
-906*j
Suppose -6*v - 11 = 19. Let y = 7 + v. Differentiate a**2 + 0 - 6*a**2 - y with respect to a.
-10*a
What is the second derivative of -36*c - 15606 + 2*c**2 - 17*c**3 + 55*c**3 + 15604 wrt c?
228*c + 4
Suppose 11 = 2*r - 1. What is the derivative of -26*j**2 + 0 - r - 6 + 36*j**2 wrt j?
20*j
Let g = -6 - -8. What is the third derivative of 121*s**5 + 2*s**4 - 124*s**5 - 3*s**4 + 2*s**g + s**2 - 13*s wrt s?
-180*s**2 - 24*s
What is the first derivative of -244*v + 118*v + 68 + 118*v - 5*v**2 wrt v?
-10*v - 8
Let v = -12 - -16. What is the derivative of -33*d + 17*d + 23*d + v + 5 wrt d?
7
Let f(p) be the second derivative of 757*p**5/20 - 421*p**2 - 593*p. Differentiate f(t) with respect to t.
2271*t**2
Let u(y) be the third derivative of 29*y**9/504 - y**8/112 + 23*y**5/60 + y**4/12 + 168*y**2. What is the third derivative of u(f) wrt f?
3480*f**3 - 180*f**2
Let i(a) = -a**2 + 16*a + 61. Let y be i(19). Let s(g) be the second derivative of 0 + 2/3*g**3 - 1/2*g**2 - y*g. Find the first derivative of s(t) wrt t.
4
Differentiate 6*f**4 + 96 + 5*f**3 + f**4 + f**4 - f**4 + 0*f**4 wrt f.
28*f**3 + 15*f**2
Let i(q) = -320*q**3 + 13*q**2 + 19*q - 4. Let x(y) = 321*y**3 - 8*y**2 - 20*y + 3. Let k(l) = 3*i(l) + 4*x(l). Find the third derivative of k(f) wrt f.
1944
Let r be (5 - 4) + -2 + 0. Let t be (2 - (-1 - -2)) + r. What is the second derivative of 0*c + t*c**4 - 5*c + c**4 - 3*c**4 wrt c?
-24*c**2
Let k(w) be the third derivative of -13*w**9/504 - w**5/60 + 5*w**3 + 6*w**2 - 9. What is the third derivative of k(t) wrt t?
-1560*t**3
Let v(m) = -m**2 - 17*m - 51. Let k be v(-12). Let a(r) = -r**2 - r + 3. Let n be a(0). Find the first derivative of -10*w + 12 + k*w**n + 10*w + w**3 wrt w.
30*w**2
What is the derivative of 53*k**2 + 35 + 4 + 35 wrt k?
106*k
Find the third derivative of -5*h - 137*h**5 - 262*h**5 - 3*h**2 + h**2 - 244*h**5 - 2*h**2 wrt h.
-38580*h**2
Let k(q) be the third derivative of 2*q**2 - 7/12*q**5 + 0*q + 0*q**3 + 0 - 2/15*q**6 + 0*q**4. Find the third derivative of k(f) wrt f.
-96
Differentiate 445*w - 261*w - 40 - 43 - 339 wrt w.
184
Let c(r) = 6*r**4 + 6*r**3 + 11*r**2. Let s(t) = 12*t**4 + 11*t**3 + 22*t**2. Let i(h) = 11*c(h) - 6*s(h). What is the third derivative of i(o) wrt o?
-144*o
Suppose -5*j - 4 = -7*j. Differentiate 10*n**3 + 7 - 5*n**2 + 5*n**j - 3*n**3 wrt n.
21*n**2
Let v(w) be the first derivative of w**5/5 - 13*w**2 - 24*w - 90. Differentiate v(l) wrt l.
4*l**3 - 26
Let m = -2 - -7. Let p(x) = x**2 - x - 11. Let j be p(m). What is the second derivative of -5*f**3 + 2*f**3 - 5*f + j*f**3 wrt f?
36*f
Let n(z) be the second derivative of 5*z**3/6 + 7*z**2/2 + 38*z. Let b(j) = 12 + 15*j + 5 - j + 3. Let f(t) = -4*b(t) + 11*n(t). Differentiate f(m) wrt m.
-1
Let s(p) be the third derivative of 10*p**2 + 0*p + 0*p**6 + 0*p**4 - 29/210*p**7 + 0*p**5 + 0 - 10/3*p**3. What is the first derivative of s(h) wrt h?
-116*h**3
Let t(r) be the first derivative of 31*r**4/2 + 301*r**3/3 + 206. Find the third derivative of t(g) wrt g.
372
Suppose -12 = 4*r - 6*r. Suppose -48 = -2*z - 2*z. What is the third derivative of -4*a - 2*a - 2*a**4 - z*a**2 + r*a wrt a?
-48*a
What is the second derivative of 2*f**2 + 15*f**4 + f**2 - 8*f - 40*f + 13*f wrt f?
180*f**2 + 6
What is the derivative of 2286*g**3 + 9 - 2284*g**3 + 1 - 74*g wrt g?
6*g**2 - 74
Suppose 0 = -4*u - 2*h + 22 + 48, 3 = 3*h. Find the second derivative of u*w**3 + 15*w + 23*w - w wrt w.
102*w
Differentiate -142 + 8*f + 22*f + 241*f**3 + 74*f - 477*f**3 + 237*f**3 wrt f.
3*f**2 + 104
Differentiate 100*z**2 - 109*z**2 - 94*z**2 + 132 wrt z.
-206*z
Let m(a) be the 