t a.
1854
Find the third derivative of -9*j**3 + 21*j**2 + 145*j**2 + 0*j - 5*j**5 + 0*j wrt j.
-300*j**2 - 54
Suppose 3*x = d - 6, 0*d - 2*d = -3*x - 9. Find the second derivative of -12*f + 8*f**3 - 12*f - 4*f**d + 4*f**3 wrt f.
48*f
What is the third derivative of -21*n**3 - 3*n**4 - n**2 + 0*n**3 + 64*n + 6*n**3 + 3*n**2 - 15*n**3 wrt n?
-72*n - 180
Let f = -20 + 24. Find the second derivative of -8*y**f - 4*y - 4 + 13*y + 4 wrt y.
-96*y**2
Let n(t) be the second derivative of t**4/12 + 2*t**3/3 + 77*t**2/2 + 5*t + 2. Find the second derivative of n(i) wrt i.
2
Let b(q) = 8*q - 4. Let n = 51 + -30. Let p be (n/12)/((-2)/8). Let r(a) = 8*a - 3. Let w(d) = p*r(d) + 6*b(d). What is the first derivative of w(o) wrt o?
-8
Let m be (6/(-5))/((-6)/15). Suppose -m*g = -5*h - 4, 3*h = -g + 6 - 0. Find the first derivative of h + 0*d**4 - 5 + 6*d**4 wrt d.
24*d**3
Let u = 49 + -31. Find the first derivative of -65*t**2 - u - 63*t**2 - 4 + 144*t**2 wrt t.
32*t
Suppose 4*u - 13*u = -153. What is the derivative of 35*g**2 - 4075*g + 4075*g - u wrt g?
70*g
Differentiate 6 - 29*y**2 + 20 - 14 + 13 + 2 with respect to y.
-58*y
Let y(v) = -8*v - 3. Let w = -16 - -29. Let i(q) = -19 + 4*q - 21 + 41. Let o(t) = w*i(t) + 6*y(t). Differentiate o(u) wrt u.
4
Let y = 131/6 - 61/3. Let u(v) be the second derivative of 0*v**3 - 1/10*v**6 + 2*v + 0 - y*v**2 + 0*v**4 + 0*v**5. Differentiate u(p) wrt p.
-12*p**3
Let b(o) = -o**2 - 10*o + 1. Let r be b(-10). Suppose u = 3*m - 6, 4*u = 3*m - 7 + r. What is the third derivative of -3*w**2 - 3 + m*w**3 - 1 + 4 wrt w?
12
Let a(j) be the first derivative of 0*j + 17/2*j**2 + 0*j**3 - 7/4*j**4 - 7. Find the second derivative of a(x) wrt x.
-42*x
Find the third derivative of 1220*t**6 - 2*t**4 - 1176*t**6 + 288*t**2 + 287*t**2 wrt t.
5280*t**3 - 48*t
Let w(d) be the first derivative of -d**6/60 + 11*d**3/6 + 5*d**2 + 6. Let t(q) be the second derivative of w(q). Find the first derivative of t(z) wrt z.
-6*z**2
Let q(s) be the second derivative of -37*s**6/30 + s**3/2 - 10*s**2 + 33*s. What is the second derivative of q(j) wrt j?
-444*j**2
Let t = 11 - 9. Suppose -4*c = -2*c - 10. Find the first derivative of -c - s**4 - 2*s**4 + t + 7 wrt s.
-12*s**3
Let l(g) = -50*g**4 - 12*g - 101. Let q(c) = -c**4 + 2*c. Let o(k) = -l(k) - 6*q(k). Find the first derivative of o(m) wrt m.
224*m**3
Let i = -21 + 24. What is the derivative of 45*o + i + 8 - 3*o**3 - 45*o wrt o?
-9*o**2
What is the first derivative of -53*p - 5 + 97 + 13*p + 142*p + 214*p wrt p?
316
Let o = -6 - -9. What is the first derivative of -l**3 - o*l**3 - 5 + 11*l**3 wrt l?
21*l**2
Suppose 20 = -3*b + 5*b. Let v be 1*-6*b/(-30). What is the third derivative of -4*z**6 + 0*z**2 + v*z**2 + 0*z**6 wrt z?
-480*z**3
Let l(c) be the second derivative of -5/24*c**4 + 2*c**2 + 0 + 1/3*c**3 - 3*c. Let o(f) be the first derivative of l(f). Differentiate o(g) with respect to g.
-5
Let b(z) be the third derivative of -83*z**6/60 + z**5/20 - 145*z**4/24 + 37*z**2. What is the third derivative of b(p) wrt p?
-996
Suppose -8 = -4*o - 0*o. Suppose -11*q + 6*q + 18 = a, o*q - 15 = -3*a. What is the first derivative of 4 + 7*x**3 + x**3 - x**a wrt x?
21*x**2
Let x(r) be the third derivative of 13*r**7/105 + r**6/20 - r**4/12 - 93*r**3/2 - 67*r**2 - 4*r. Find the second derivative of x(l) wrt l.
312*l**2 + 36*l
Let f = 535 - 531. Let x(n) be the first derivative of 0*n + 0*n**3 + 0*n**f + 4*n**2 - 8 - 2/5*n**5. Find the second derivative of x(v) wrt v.
-24*v**2
Let h(r) = -230*r**3 + 4*r**2 - 121*r - 5. Let u(g) = -345*g**3 + 6*g**2 - 181*g - 7. Let f(k) = -7*h(k) + 5*u(k). What is the third derivative of f(j) wrt j?
-690
Let r(d) = -5*d**3 + 6*d**2. Let v(p) = 6*p**3 - 7*p**2. Let t = 67 + -69. Let x(z) = t*r(z) - 3*v(z). What is the third derivative of x(c) wrt c?
-48
Let r(l) = -1675*l**3 + 470*l**2 + 5*l - 10. Let o(b) = 839*b**3 - 235*b**2 - 3*b + 6. Let j(w) = 5*o(w) + 3*r(w). What is the third derivative of j(m) wrt m?
-4980
Suppose 0*w - 8 = -2*w. Differentiate 4 + 67*v**w - 80*v**4 + 8 wrt v.
-52*v**3
Let y be (-3 - -6) + 0 - -19. Suppose -4*r = -5*s + 46, 2*r + y = s - 2*r. What is the third derivative of -3*t**6 + 3*t**2 + 4*t**s + 0*t**2 wrt t?
120*t**3
Find the second derivative of -9 - 432*q**3 - 429*q**3 + 860*q**3 - 60*q**2 + 23*q + 2 wrt q.
-6*q - 120
Let b(y) = -14*y + 1. Let g(q) be the first derivative of 7*q**2 - q + 1. Let o(i) = -5*b(i) - 6*g(i). What is the derivative of o(u) wrt u?
-14
Let x(g) be the second derivative of 0 + 0*g**6 + 0*g**2 - 5/42*g**7 + 10*g - 5/4*g**4 + 0*g**3 + 0*g**5. Find the third derivative of x(v) wrt v.
-300*v**2
Let k = 378 + -376. Let i(q) be the first derivative of 0*q**3 + 4*q**k + 1/4*q**4 - 1 + 0*q. What is the second derivative of i(p) wrt p?
6*p
Find the second derivative of -21*l**5 + 381*l + 57*l + 23*l**5 - 21*l**3 + 4*l + 4*l wrt l.
40*l**3 - 126*l
Suppose 0 = 4*v - 7*v. Suppose -4*p + 12 - 4 = v. What is the derivative of 11*y**p - 2 - 2*y**3 + 5 - 11*y**2 wrt y?
-6*y**2
What is the first derivative of 3*q - 20690*q**2 + 20697*q**2 + 14 + 8 wrt q?
14*q + 3
Let u = 3 + 0. Suppose -6 = -u*n - 0*n, 0 = -5*l - 5*n + 20. What is the first derivative of l*a - 3 + 3*a + 1 wrt a?
5
Let i(m) be the first derivative of -214*m**4 + 304*m**3 + 978. Find the third derivative of i(r) wrt r.
-5136
Let y(l) be the first derivative of l**5/5 + 22*l**3/3 - 68*l + 64. Differentiate y(d) with respect to d.
4*d**3 + 44*d
Let i(y) be the first derivative of 53*y**3 + 161*y**2 + 210. What is the second derivative of i(n) wrt n?
318
Let k(i) be the second derivative of 3*i**5/20 + i**3/6 + 2*i**2 - 2*i. Let z(d) be the first derivative of k(d). What is the first derivative of z(t) wrt t?
18*t
Let o(f) = 30*f**3 - 12*f + 142. Let j(y) = 30*y**3 - 14*y + 143. Let a(q) = 6*j(q) - 7*o(q). Differentiate a(p) wrt p.
-90*p**2
Let o = -39 + 43. What is the third derivative of -n**4 - 11*n**4 + 13*n**2 - 3*n**4 - o*n**2 wrt n?
-360*n
Suppose -12*k = -7*k. Let b(x) be the second derivative of k*x**2 + 0*x**4 - 1/2*x**5 + 0 - x**3 - 7*x. Find the second derivative of b(v) wrt v.
-60*v
Find the first derivative of -84*w**3 + 243 + 18*w**3 + 25*w**3 + 25*w**3 + 4*w**2 wrt w.
-48*w**2 + 8*w
Let a(w) = w - 6. Let y(h) = h**3 + 10*h**2 - 11*h + 8. Let l be y(-11). Let d be a(l). Find the third derivative of 4*b**3 - 2*b**2 - 6*b**3 - 2*b**d wrt b.
-12
Let s(m) be the third derivative of -m**6/120 + m**5/60 + m**4 - m**3/6 - 24*m**2. Find the second derivative of s(q) wrt q.
-6*q + 2
Let v(m) = -86*m + 4. Let o be v(-2). Find the first derivative of -14*b**3 + 3 + 176*b**2 - o*b**2 wrt b.
-42*b**2
Let w(k) be the first derivative of -k**6/3 - 32*k**3/3 - k**2/2 - 26*k + 232. What is the second derivative of w(h) wrt h?
-40*h**3 - 64
Let o(z) be the first derivative of 13*z**6/30 + 5*z**3/6 - 8*z + 2. Let a(s) be the first derivative of o(s). What is the second derivative of a(k) wrt k?
156*k**2
Let h be ((-16)/12)/(2/(-12)) + -3. What is the third derivative of -11 - 27*l**2 + 16 - h + 8*l**4 wrt l?
192*l
Let i(b) = -b**3 + 7*b**2 + 10*b - 7. Let j be i(8). What is the third derivative of -j*s**2 - 6*s**2 + 18*s**3 + 31*s**3 - 38*s**2 wrt s?
294
Let k(s) be the second derivative of -s**7/210 + 19*s**4/24 + 5*s**2 - 18*s. Let h(w) be the first derivative of k(w). Find the second derivative of h(r) wrt r.
-12*r**2
Let j(u) = u**3 - 12*u. Let f(v) = 13*v. Suppose -b = -4*s + 15, 4*s - s - 12 = b. Let k(c) = s*f(c) + 2*j(c). Find the second derivative of k(w) wrt w.
12*w
Suppose -25 + 1 = -12*a. Find the third derivative of o + 32*o**5 - 14*o**5 - 2*o**3 + 12*o**a - 22*o**5 wrt o.
-240*o**2 - 12
Let z = -283 + 288. Let p(n) be the second derivative of z*n + 0*n**2 - 1/5*n**5 + 0*n**4 + 0 - 1/3*n**3. What is the second derivative of p(c) wrt c?
-24*c
Let q = -9 + 9. Suppose v - 4*g + 10 = -q, -2*g = -8. Find the third derivative of 2*s**6 + 6*s**2 - s**6 - 2*s**2 + 2*s**v wrt s.
360*s**3
Let d(r) = r**3 + 6*r**2 - 6. Let m be d(-5). What is the second derivative of 17*w - 50*w**2 + m*w**5 + 50*w**2 wrt w?
380*w**3
Let v(r) be the first derivative of -1/4*r**4 + 7/3*r**3 + 7 + 0*r + 0*r**2. Find the third derivative of v(o) wrt o.
-6
Differentiate 49 - 174*l**4 -