*j**2
Find the third derivative of 31*b**2 + 13*b**2 - 67*b**2 - 9*b**4 wrt b.
-216*b
Let z(i) = i**4 + i**2 + i - 1. Let u(d) = -13*d**4 - 2*d**2 - 2*d - 1. Let j(b) = -u(b) - 2*z(b). Differentiate j(k) with respect to k.
44*k**3
Let c be 0 + 3 + (2 - 3). What is the first derivative of 2*z**4 + z**4 + 0*z**4 + c wrt z?
12*z**3
Let z(s) be the first derivative of 7*s**5/5 - 3*s**4/4 + 13*s**3/3 - 1. Find the third derivative of z(b) wrt b.
168*b - 18
Let w(h) be the first derivative of h**8/840 - h**5/30 - h**3 - 1. Let c(z) be the third derivative of w(z). Find the second derivative of c(u) wrt u.
24*u**2
Let a be 2/5 + 28/5. Let h = a - 4. What is the derivative of 0 + 0 - h*o**4 - 1 wrt o?
-8*o**3
Suppose 2*d + 4*k - 24 = 0, d = 2*k - 1 - 3. What is the second derivative of y - y**d - 14*y**4 + 7*y**4 wrt y?
-96*y**2
Let o = 3 + -2. Suppose 4*q + 4*l - 12 = 0, 11 = 4*q - 0*q + 3*l. Find the first derivative of -q - 3*m + o + m wrt m.
-2
Let z(h) be the second derivative of 7*h**5/10 + 13*h**4/12 - 2*h. Find the third derivative of z(l) wrt l.
84
Suppose -5*k - 32 = -k. Let l(g) = -g**2 - 8*g + 4. Let v be l(k). Find the first derivative of -3*f**v + 1 + 1 + 2*f**4 wrt f.
-4*f**3
Suppose 5*j - 2*j - 64 = 5*l, -3*l + 12 = 0. Suppose 8 = a + s, 0 = a + 5*s - j + 4. Find the second derivative of m**4 + 0*m**a - 3*m + 3*m + 2*m wrt m.
12*m**2
Find the first derivative of 22 + 11*i**2 - 8*i**2 + 8*i**3 - 3*i**2 wrt i.
24*i**2
Let s(z) = 2*z - 6. Let h be s(6). Suppose -4*m + 2*b = 5*b - 22, -4*b = -4*m + 8. Find the third derivative of -i**h + i**2 + i**m - i**4 wrt i.
-120*i**3
Let f(k) = -2*k**4 - 3*k**3 - 3*k**2 + 6. Let v(u) = 6*u**2 + 1 + 7*u**3 - 4 + u**2 + 3*u**4 - 10. Let x(l) = -7*f(l) - 3*v(l). Differentiate x(h) wrt h.
20*h**3
Let q(w) = 2*w**4 + 9*w**3 + 39*w. Let r(n) = n**4 + 4*n**3 + 20*n. Let u(s) = -4*q(s) + 9*r(s). What is the second derivative of u(i) wrt i?
12*i**2
Let r be 2 + (0 - 188/96). Let s(i) be the third derivative of r*i**4 + i**2 + 0*i + 0 + 0*i**3 + 1/30*i**5. What is the second derivative of s(y) wrt y?
4
What is the third derivative of 7 - k**2 - k**3 - 7 wrt k?
-6
Let q be (-2)/10 + (-16)/(-5). Differentiate -2*z**3 + q + z**3 - 7*z**3 + 6 wrt z.
-24*z**2
Let x be (-8 - -9) + 2*1. Find the third derivative of -7*c**3 + 2*c**x + c**2 + 0*c**2 wrt c.
-30
Let g(m) = 17*m + 31. Let a(r) = -17*r - 32. Let z(l) = 6*a(l) + 5*g(l). Differentiate z(s) with respect to s.
-17
Suppose -q = 3*q. Let f(x) be the first derivative of -1/3*x**3 + 0*x**2 + 1/5*x**5 + 1 + 0*x + q*x**4. Find the third derivative of f(i) wrt i.
24*i
Let x(s) = 31*s**4 - 2*s**2 + 2*s - 32. Let h(u) = 32*u**4 - 3*u**2 + 3*u - 32. Let a(y) = -2*h(y) + 3*x(y). What is the derivative of a(p) wrt p?
116*p**3
Let g(z) = -145*z**4 + 11*z**3 + 11*z**2 + 6. Let k(m) = 29*m**4 - 2*m**3 - 2*m**2 - 1. Let u(s) = -2*g(s) - 11*k(s). Differentiate u(q) with respect to q.
-116*q**3
Let q be (0 - 0) + 2*1. Let s be (9/(-18))/((-3)/30). Find the third derivative of 6*t**2 - 2*t**q + 0*t**5 + 0*t**s + 2*t**5 wrt t.
120*t**2
Let g(s) = s**2 + 7*s. Let b be g(-6). Let p = -2 - b. Differentiate -4 - z**4 + 5 - 2*z**p with respect to z.
-12*z**3
Let r(o) = -31*o**2 + 14*o. Let v(h) = 15*h**2 - 7*h. Let w(l) = -6*r(l) - 11*v(l). Find the second derivative of w(c) wrt c.
42
Let d = 11 + -8. Suppose -3 = -d*c - 0. Differentiate 0 - 2*b + 5*b - c + 0*b wrt b.
3
Suppose 0 = u - 3 - 4. Find the first derivative of 6*s - 3*s - 3 - u*s - s wrt s.
-5
Let l(p) = 4*p + 3*p**2 + p**2 - 4*p**2 - 1 - 6*p**2. Let u(s) = -6*s**2 + 5*s. Let i(t) = 5*l(t) - 4*u(t). Differentiate i(m) wrt m.
-12*m
Let y(r) be the first derivative of 2*r**5/5 - 4*r**2 - 3. Find the second derivative of y(d) wrt d.
24*d**2
Suppose -5*o + 0 = 15. Let s = o + 5. What is the third derivative of 4*q**2 - 3*q**s - 3*q**3 + 0*q**3 wrt q?
-18
Let a(q) be the first derivative of -4*q**6/3 - 5*q**3/3 - 3. Find the third derivative of a(s) wrt s.
-480*s**2
Let n(z) = z**5 - z**2. Let y(h) = -5*h**6 + 10*h**5 - 40*h**2. Let l(o) = -10*n(o) + y(o). Find the third derivative of l(c) wrt c.
-600*c**3
Suppose 3*l + 75 = 6*l. Suppose y + 25 = 2*y - 4*j, l = -5*j. Find the first derivative of -h**4 + y*h**4 - 1 - h**4 wrt h.
12*h**3
Find the third derivative of -4*u**5 - 5*u**2 + 6*u**2 - 2*u**5 wrt u.
-360*u**2
Let q(k) be the third derivative of k**5/4 + k**4/8 + 2*k**3/3 - 45*k**2. What is the second derivative of q(t) wrt t?
30
Let d be 2 + 1 + 3 + -2. What is the second derivative of -2*p + p**4 - 4*p**d + 5*p**4 wrt p?
24*p**2
Let v = -6 + 6. Suppose k = -v*k + 5. Find the second derivative of i + 2*i - k*i**2 + i**2 wrt i.
-8
Let q(s) = -s**2 + 6*s + 9. Let g be q(7). Let h be g/((-6)/9)*-1. Differentiate -8*m**3 + 3*m**h + 4*m**3 - 1 with respect to m.
-3*m**2
Let p(b) be the third derivative of b**7/21 - b**4/6 + 3*b**2. Find the second derivative of p(t) wrt t.
120*t**2
Let w(q) be the third derivative of -q**9/756 + q**6/72 + 5*q**3/6 + 3*q**2. Let p(m) be the first derivative of w(m). Find the third derivative of p(l) wrt l.
-240*l**2
Let v(m) = 24*m + 26. Let k(s) = -16*s - 17. Let x(y) = -8*k(y) - 5*v(y). What is the derivative of x(q) wrt q?
8
Let f(n) be the second derivative of n**8/7 + n**4/2 - 7*n. Find the third derivative of f(l) wrt l.
960*l**3
What is the derivative of 18*j - 18*j - 9*j**3 + 2 + 5 wrt j?
-27*j**2
Let l(a) = -6*a**2 - 4*a - 5. Let x(f) = 5*f**2 + 3*f + 4. Suppose 6*o - o = 20. Let v(r) = o*x(r) + 3*l(r). What is the derivative of v(j) wrt j?
4*j
Find the second derivative of 380 - 19*w - 8*w**3 - 380 wrt w.
-48*w
Let t(s) be the third derivative of s**8/16 + 19*s**4/24 - 23*s**2. Find the second derivative of t(u) wrt u.
420*u**3
Let v(s) = s + 11. Let c be v(-5). What is the third derivative of -4 + c*d**2 + 4 - d**2 - 2*d**5 wrt d?
-120*d**2
Let w(a) be the third derivative of a**7/35 + a**5/10 + 2*a**2. Find the third derivative of w(x) wrt x.
144*x
Let a(p) be the first derivative of -5 + 5*p - 2*p + p**5 - 2*p + 1. What is the derivative of a(s) wrt s?
20*s**3
Let r(f) = 11*f + 4. Let i(k) be the first derivative of k**2/2 + k + 10. Let x(v) = -i(v) + r(v). What is the derivative of x(b) wrt b?
10
Let m(p) = p**3 - p**2 + p + 6. Let l be m(0). Suppose v + 2 = l. What is the second derivative of -3*f**4 + 0*f**v + 2*f**4 - 2*f wrt f?
-12*f**2
Suppose -3*f + 10 = 2*f. Suppose -l + 12 = 4*a - 9*a, l = -5*a - 8. What is the second derivative of l*z**f - z + 4*z - 2*z wrt z?
4
Let s = -14 - -15. Differentiate 2*y + s + 1 - 1 wrt y.
2
Differentiate -w**3 - 7 + 2 + 3*w**3 - 3 with respect to w.
6*w**2
Let d(i) be the first derivative of 0*i**5 - 5/6*i**6 + 0*i**2 + 0*i - 4/3*i**3 + 0*i**4 - 5. Find the third derivative of d(v) wrt v.
-300*v**2
Find the third derivative of 0*k**3 - 113*k**2 + 102*k**2 + 4*k**3 wrt k.
24
Let v(a) be the second derivative of -a**5/60 + a**4/12 - 3*a**2/2 - 2*a. Let j(y) be the first derivative of v(y). What is the second derivative of j(x) wrt x?
-2
Let i(h) = 0*h + 2 + h - 3*h. Let d be (0 + 2)/(-2 + 0). Let a(g) = 1. Let j(m) = d*i(m) + a(m). Find the first derivative of j(r) wrt r.
2
Let n(y) = -19*y**3 - 6*y + 5. Let b(k) = k**3 - k - 1. Let m(o) = -5*b(o) - n(o). Find the second derivative of m(r) wrt r.
84*r
Let c(q) be the first derivative of 0*q + 0*q**5 + 5/6*q**6 + 0*q**2 + 0*q**4 + 4 - 5/3*q**3. What is the third derivative of c(m) wrt m?
300*m**2
Let v be (-4)/(-12) + (-34)/(-6). Differentiate -p + 3*p + 13*p + 6 - v*p wrt p.
9
Let d(a) be the first derivative of 19*a**4/4 + 3*a + 29. Find the first derivative of d(b) wrt b.
57*b**2
Let d be (6 + -12 + 6)*2/(-4). Let q(a) be the second derivative of -1/6*a**3 + d + 0*a**2 + 4*a - 1/12*a**4. Find the second derivative of q(y) wrt y.
-2
Let r(q) = q**3 - 9*q**2 + 9*q - 5. Let d be r(8). Find the second derivative of d*u**2 - 3*u**2 + 7*u - 6*u + 3*u**2 wrt u.
6
Suppose 3*r + u - 6*u - 7 = 0, 4*r - 5*u = 11. What is the derivative of 89*a**4 + r - 85*a**4 - 10 wrt a?
16*a**3
Let k = -5 + 22. Let p be k/4 - (-1)/(-4). What is the second derivative of -35*s**2 - p*s + 3*s**5 + 35*s**2 wrt s?
60*s**3
Let v = 1 + 4. Differentiate 0 - 4 - 2*u + 3 + v wrt u.
-2
Let j(c) = -c**3 + 4*c**2 - 3. Let p be 