erentiate 6*v**2 + 0 + v**2 + 1 wrt v.
14*v
Let s(d) be the third derivative of d**8/48 + 3*d**5/20 - 14*d**2. What is the third derivative of s(b) wrt b?
420*b**2
Find the third derivative of 4*o**4 + 2*o - 2*o + 25*o**2 - 11*o**2 wrt o.
96*o
What is the second derivative of -3*l**2 - 3*l + 3*l + 2*l - 4*l**2 wrt l?
-14
Let v(c) = c - 4. Let j be v(6). Find the first derivative of 0 + 2*b**2 - j - 3*b**2 + 0*b**2 wrt b.
-2*b
Let v(b) = -8*b**4 - 6*b**3 + 5*b**2 + 6. Let p(y) = -9*y**4 - 5*y**3 + 4*y**2 + 5. Let j(n) = -6*p(n) + 5*v(n). What is the third derivative of j(i) wrt i?
336*i
Let q(v) = v**3 - 6*v**2 - 6*v - 1. Let n be q(7). What is the derivative of -n + 4 - 4 + k + 3 wrt k?
1
Suppose 0 = 3*x + 4 - 10. What is the third derivative of -4*l**6 + 31*l**4 + 11*l**x - 16*l**4 - 15*l**4 wrt l?
-480*l**3
What is the second derivative of 4*p - p - 4*p + 2*p**3 wrt p?
12*p
What is the third derivative of q**3 - 2*q**3 + q**3 - 5*q**2 - 5*q**4 wrt q?
-120*q
What is the first derivative of -8*t + 6 + 5*t - 4*t - t wrt t?
-8
Suppose 0 = 3*j + 5*i - 40, -4*j + 25 = 2*i - i. Let v be ((-12)/3)/(2 - 4). Differentiate k**v - 4 + j - 2 with respect to k.
2*k
Suppose -4*v + 9*v = 10. What is the third derivative of -2*q**v - q**2 - 8*q**5 + 3*q**2 - 3*q**2 wrt q?
-480*q**2
Let x be 0/((1 + -4)*-1). What is the second derivative of -2*l - 2*l + 7*l - l**4 + x*l**4 wrt l?
-12*l**2
Let c be (4/(-6)*-1)/((-8)/(-6)). Let p(y) be the second derivative of c*y**3 - 1/4*y**4 + 0*y**2 + 0 - 3*y. What is the second derivative of p(o) wrt o?
-6
Let c(u) be the second derivative of u**8/56 - u**4/4 - 21*u. Find the third derivative of c(r) wrt r.
120*r**3
Let p(w) = 34*w**3 + 8*w**2 + 29*w + 8. Let u(l) = -23*l**3 - 5*l**2 - 19*l - 5. Let f(m) = -5*p(m) - 8*u(m). What is the second derivative of f(o) wrt o?
84*o
Let f(c) be the third derivative of 1/30*c**5 + 2*c**2 + 1/60*c**6 + 0*c**3 + 0*c + 0 + 0*c**4. What is the third derivative of f(t) wrt t?
12
Let b(v) = -v + 6. Let a be b(0). What is the third derivative of -i**6 + i**2 + 3*i**a - i**6 + 0*i**2 wrt i?
120*i**3
Let f = 7 - 4. Let k be 5 + ((-2)/1 - 1). Let s(m) = m - 4. Let p(u) = 2. Let v(w) = f*p(w) + k*s(w). Find the first derivative of v(g) wrt g.
2
Let n(u) = 5*u**4 + 4*u**2 + 3. Let s be 6/(-3) - (-1 + -2). Let k(m) = m**4 - m**2 + 1. Let x(o) = s*n(o) - 3*k(o). What is the third derivative of x(l) wrt l?
48*l
What is the second derivative of -87*i + 0*i**3 + i**3 + 76*i wrt i?
6*i
Let o(i) be the first derivative of 3*i**7/7 - 3*i**3 - 8. What is the third derivative of o(r) wrt r?
360*r**3
Let w(j) be the third derivative of -1/24*j**4 + 5*j**2 + 0*j**5 + 1/42*j**7 + 0 + 0*j**6 + 0*j + 0*j**3. What is the second derivative of w(k) wrt k?
60*k**2
Suppose 5*z - y = -10, 2*z + 23 = -z + 4*y. Let r(i) = -14*i - 1. Let t(m) = -m + 1. Let d(a) = z*r(a) + 6*t(a). What is the derivative of d(x) wrt x?
8
Let h be (2 + -3)/((-3)/6). Find the third derivative of 2*z**4 + 2 - h + z**2 wrt z.
48*z
Let b(i) be the first derivative of i**4 - 2*i**3 + 2. Find the third derivative of b(q) wrt q.
24
Suppose 2*m + 4 = 12. Let w(u) be the third derivative of -1/30*u**5 + 0 + 0*u + 1/3*u**3 + 2*u**2 + 0*u**m. Find the first derivative of w(s) wrt s.
-4*s
Let i(r) = r**3 - 4*r**2 - 8*r - 4. Let x be i(6). What is the first derivative of -x*t - 20*t + 37*t - 3 wrt t?
-3
Let j(k) be the second derivative of k**11/9240 - k**7/840 - k**4/3 + 2*k. Let i(t) be the third derivative of j(t). What is the third derivative of i(h) wrt h?
720*h**3
Let i(f) = -2*f**3 + 17*f**2 + 17*f + 32. Let b(q) = q**3 - 6*q**2 - 6*q - 11. Let w be 3/(3/2) - 19. Let d(v) = w*b(v) - 6*i(v). Differentiate d(m) wrt m.
-15*m**2
Let q(h) = 7*h**5 + 6*h**4 - 6*h**2 + 6*h - 6. Let a(c) = -c**4 - c + 1. Let b(y) = -6*a(y) - q(y). What is the third derivative of b(p) wrt p?
-420*p**2
Let w(a) be the first derivative of a**7/280 + 7*a**4/24 + 2*a**3 - 7. Let m(h) be the third derivative of w(h). Find the first derivative of m(d) wrt d.
9*d**2
Let j(g) = g**3 - 2*g - 1. Let u be j(2). Suppose -w - 3 = -u*x + 1, 2*w = -2. What is the first derivative of -2*h**2 - x - h**2 + h**2 wrt h?
-4*h
Find the third derivative of -9*s**4 - 8*s**2 + 9*s**2 - 6*s**2 wrt s.
-216*s
Let q = -12 - -17. Let s be (-1)/1*(-3)/1. Find the third derivative of w**q - 4*w**2 + s*w**2 - w**2 wrt w.
60*w**2
Let g(f) be the third derivative of 0*f**4 + 1/60*f**5 + 0*f + 0*f**3 + 0*f**6 + 3*f**2 + 3/70*f**7 + 0. Find the third derivative of g(s) wrt s.
216*s
Let c(u) = -5*u**3 + 2*u**2 - 5. Let r(b) = -51*b**3 + 21*b**2 - 51. Let o(j) = 21*c(j) - 2*r(j). Differentiate o(z) with respect to z.
-9*z**2
Let j(s) = s**3 + 5*s**2 - 8*s - 8. Let b be j(-6). Let f be (-19)/(-4) - (-1)/b. What is the second derivative of 62*m**4 - m**f - 62*m**4 + 3*m wrt m?
-20*m**3
Let n(f) be the second derivative of f**4/2 + f**3/6 + 18*f**2 - 3*f + 4. Differentiate n(p) wrt p.
12*p + 1
Let w(a) be the third derivative of 3*a**7/70 - a**3 - 8*a**2. What is the first derivative of w(f) wrt f?
36*f**3
Let s(r) be the first derivative of r**7/210 + r**6/72 - 5*r**3/3 - 3. Let z(q) be the third derivative of s(q). Find the third derivative of z(f) wrt f.
24
Let h(j) be the third derivative of 11*j**7/210 - 23*j**4/24 + 20*j**2. Find the second derivative of h(u) wrt u.
132*u**2
Let m(o) = 249*o**3 + 94*o**2 + 11*o - 11. Let j(u) = 50*u**3 + 19*u**2 + 2*u - 2. Let y(w) = 11*j(w) - 2*m(w). Find the third derivative of y(t) wrt t.
312
Let w(l) = -3*l - 4. Let d(b) = -b**2 - 6*b - 1. Let v be d(-6). Let i(y) = y**2 + 1. Let x(k) = v*w(k) - 4*i(k). Find the second derivative of x(m) wrt m.
-8
Let d(t) be the third derivative of 0 + 0*t**7 + 0*t**3 + 0*t**6 - 1/12*t**4 + 1/112*t**8 + 0*t - 2*t**2 + 0*t**5. Find the second derivative of d(r) wrt r.
60*r**3
What is the derivative of 41 - 26*n**3 - 18 + 6*n**3 wrt n?
-60*n**2
Let g(b) be the second derivative of b**5/5 + b**4/4 - 6*b**2 - b + 28. Find the third derivative of g(d) wrt d.
24
Suppose -2*n - 2*j = 2, 2*n + 3*j + 11 = 3*n. Let q be (n + -2)*-1*1. What is the first derivative of -2*h**2 - 3 + q + 1 wrt h?
-4*h
Let z(y) = -y + 3. Let t be z(0). Differentiate 2 + 4*s**4 + t - 2 wrt s.
16*s**3
Find the third derivative of 39*t**2 + 12*t**6 - 4*t**3 + 32*t**6 + 4*t**3 wrt t.
5280*t**3
What is the second derivative of 3*r - 2*r**4 - 6*r**4 + 5*r - 6*r**4 wrt r?
-168*r**2
Find the second derivative of 2*r**4 - r - 2*r**4 + 5*r**5 - 6*r**5 wrt r.
-20*r**3
Suppose -7*q + 2*q = -30. Find the third derivative of -2*n**4 - n**4 + 3*n**2 + q*n**4 wrt n.
72*n
Let u(h) be the second derivative of -h**4/24 - h**3/3 + h**2 - 2*h. Let k(a) be the first derivative of u(a). What is the derivative of k(g) wrt g?
-1
Let d(r) be the first derivative of -5*r**9/3024 - r**5/60 - r**3/3 - 5. Let s(y) be the third derivative of d(y). Find the second derivative of s(q) wrt q.
-100*q**3
Let r(j) be the third derivative of j**8/12 - 5*j**4/24 + 6*j**2. Find the second derivative of r(p) wrt p.
560*p**3
Let l(j) = -j**4 - j**3 + j**2 + j - 1. Let d(u) = 17*u**4 + 4*u**3 - 4*u**2 - u + 4. Let g(w) = d(w) + 4*l(w). Find the second derivative of g(v) wrt v.
156*v**2
Let h(o) be the third derivative of -o**6/120 + o**5/40 - o**3/2 - o**2. Let c(u) be the first derivative of h(u). What is the second derivative of c(k) wrt k?
-6
Let v(z) be the first derivative of -8*z**2 - 11*z - 6. Differentiate v(t) wrt t.
-16
Let h be 9/18 + 6/4. Let q(f) be the first derivative of -1/2*f**4 + 1/2*f**h + 0*f + 0*f**3 + 2. Find the second derivative of q(w) wrt w.
-12*w
Let k(s) = -s**2 - 8*s + 4. Let f be k(-8). Find the second derivative of 2*j**2 - 3 + f - 5*j - 1 wrt j.
4
Let n(f) be the third derivative of 23*f**6/120 - f**5/60 + 29*f**2. Find the third derivative of n(o) wrt o.
138
Let v(f) be the third derivative of -f**6/10 - f**5/20 - 59*f**3/6 - 10*f**2. What is the first derivative of v(g) wrt g?
-36*g**2 - 6*g
Let m be 6/(-15)*(-5)/4. Let i(b) be the second derivative of -1/15*b**6 + 0*b**4 - m*b**2 + 0*b**3 + 0 + 0*b**5 - b. Differentiate i(l) wrt l.
-8*l**3
Let o(t) be the first derivative of 11*t**4/4 + 3*t + 1. Find the first derivative of o(h) wrt h.
33*h**2
Let g(q) = 3*q + 7. Let a