- 3*q**2/2 + 16*q. Differentiate y(n) wrt n.
-24
Let l(z) = -42*z**3 - 9*z + 21. Let v(r) = 21*r**3 + 4*r - 11. Let q(w) = 4*l(w) + 9*v(w). What is the derivative of q(x) wrt x?
63*x**2
Let d = -9 - -7. Let m be 69/21 - d/(-7). What is the second derivative of -2*y - m*y**3 + y**3 + 4*y**3 + y**3 wrt y?
18*y
Suppose 0 = 4*i - i - 6. Find the first derivative of 54*n**2 - 54*n**i + 3 - 4*n**4 wrt n.
-16*n**3
Let q(p) be the first derivative of -p**3/3 + 3*p**2/2 - 19*p - 3. What is the derivative of q(c) wrt c?
-2*c + 3
Let h(q) be the first derivative of q**5/10 + 3*q**2/2 - q + 1. Let x(j) be the first derivative of h(j). Differentiate x(t) wrt t.
6*t**2
Let z(p) be the second derivative of 2*p**5/5 + 13*p**2/2 - 10*p. Differentiate z(d) wrt d.
24*d**2
Let h(m) = 3*m**3 + 12*m - 166. Let b(n) = -n**3 - 4*n + 55. Let o(p) = -17*b(p) - 6*h(p). Differentiate o(l) with respect to l.
-3*l**2 - 4
Let r be 25/10 - 3/6. Find the first derivative of 3*b**r - 3 - 5*b**2 + 6*b - 6*b wrt b.
-4*b
Let t be 6/(-3)*(-3)/1. Let a = t - 4. Find the third derivative of -a*j**6 + j**6 - 2*j**2 + 3*j**6 wrt j.
240*j**3
Let k(w) = -w**3 - 2*w + 4. Let h(y) = -y + 1. Let m(d) = d - 12. Let n be m(6). Let j(g) = n*h(g) + 3*k(g). Find the first derivative of j(b) wrt b.
-9*b**2
Let d = 35 - 33. Let b = -6 - -8. What is the third derivative of i**d - 2*i**2 - b*i**3 + i**3 wrt i?
-6
Suppose -3 = -x + 2. Let w = 5 - 2. Find the second derivative of -2*o**x + 4*o - 2*o + w*o**5 wrt o.
20*o**3
Let s(q) be the third derivative of 23*q**7/210 + 2*q**5/15 - 18*q**2. What is the third derivative of s(h) wrt h?
552*h
What is the derivative of 5*q**3 + 15*q**3 + 1 - 3 wrt q?
60*q**2
Let q(a) be the third derivative of -1/20*a**5 + 2*a**2 - 1/12*a**4 + 0 + 0*a**3 + 0*a. Find the second derivative of q(v) wrt v.
-6
Let j(n) be the third derivative of -n**8/84 - n**4/3 - 8*n**2. Find the second derivative of j(f) wrt f.
-80*f**3
Let b(q) = -q**2 - 4*q + 2. Let f be b(-4). What is the third derivative of 6*r**f - 4*r**6 + 8*r**6 + 2*r**2 + 5*r**6 wrt r?
1080*r**3
Suppose 9 = 4*g + 1. Suppose 5*x = -2*j - 15, -2*j = 3*j - g*x - 6. Find the third derivative of 0*t**5 - t**2 + j*t**5 + 2*t**6 - 3*t**6 wrt t.
-120*t**3
Let f(l) = -2*l**2 + 2*l - 2. Let v be f(2). Let s be (-1 + 2)/((-2)/v). Differentiate 4 - 2*i - 2 + 3*i**s + 2*i wrt i.
9*i**2
What is the second derivative of 5 - 1 - 6*d - 4 + 6*d**4 wrt d?
72*d**2
Let h(t) = 9*t + 5. Let o(x) = -2 + 2*x + x + 4 + 0*x. Let d(r) = 4*h(r) - 11*o(r). What is the derivative of d(y) wrt y?
3
Let o(p) = -35*p**2 - 7*p. Let k(f) = f**2. Let w = 8 - 7. Let c(v) = w*o(v) + 28*k(v). Find the second derivative of c(y) wrt y.
-14
Let q(u) = -u - 1. Let s(t) = 30*t + 18. Let m(z) = 4*q(z) + s(z). Find the first derivative of m(o) wrt o.
26
Let l(i) = 15*i**3 - 5. Let c(m) = -5*m**3 + 2. Let w(z) = -7*c(z) - 2*l(z). Differentiate w(y) with respect to y.
15*y**2
Let u(t) = -29*t - 37. Let n(p) = 10*p + 12. Let v(c) = -7*n(c) - 2*u(c). What is the derivative of v(a) wrt a?
-12
Find the second derivative of 3*x**3 + x - 6*x**3 - 3*x**3 wrt x.
-36*x
Let b(s) be the third derivative of s**7/210 - 13*s**3/3 + 9*s**2. What is the first derivative of b(c) wrt c?
4*c**3
Let d be (3 - 2 - 2) + -6. Let g = d - -11. Find the third derivative of 0*o**4 - o**4 + 0*o**g - o**2 - o**4 wrt o.
-48*o
Differentiate 15*l - 11 + 57*l - 27*l - 12 wrt l.
45
Find the first derivative of -2*k**3 - 23*k**2 - 7 + 23*k**2 wrt k.
-6*k**2
Let i(h) = -33*h**5 + 5*h**4 + 5*h**2 + h - 5. Let f(x) = -x**5 + x**4 + x**2 - 1. Let u(a) = 5*f(a) - i(a). What is the second derivative of u(w) wrt w?
560*w**3
Let y(d) = -5*d + 0*d + 6*d. Let w(x) = -4*x**2 - 6*x - 3. Let f(i) = -w(i) - 6*y(i). Differentiate f(z) wrt z.
8*z
Suppose 6*u - 3*u = -2*h + 16, -5*u + 20 = 0. Find the third derivative of -2 - 2*r**h + 2 + r**6 - r**2 wrt r.
120*r**3
Let p(x) = x**3 + 9*x**2 - 11*x - 8. Let h be p(-10). Let i be 5*3*(-1)/(-3). Find the second derivative of h*z - z**i + 2*z - 2*z wrt z.
-20*z**3
Let k(h) = -1. Let f(z) = -3*z**2 - 4*z + 5. Let y(p) = f(p) + 6*k(p). Let b(x) be the first derivative of y(x). Differentiate b(t) with respect to t.
-6
Let x(w) be the first derivative of 17*w**4/4 + 2*w - 6. What is the derivative of x(p) wrt p?
51*p**2
Suppose -b + 14 - 3 = -3*n, 2*n - 4 = -5*b. Suppose b*c - 3*o = 2 + 2, -5*o = c - 2. What is the second derivative of -x - 2*x + x + x**c wrt x?
2
Let c be 5 + (3 + -3 - 1). What is the third derivative of 4*x**2 + c*x**5 + x**5 - 5*x**5 + 3*x**5 wrt x?
180*x**2
Suppose 2*v = 2*f, 3*f = v + f. Suppose 0 = d - 3*d, -k + d = v. Find the third derivative of 0*s**4 - s**4 + k*s**2 - 3*s**2 wrt s.
-24*s
Find the second derivative of -10*m**2 - 8*m + 12*m**5 - 6*m**2 + 16*m**2 wrt m.
240*m**3
Let t(w) be the second derivative of -19*w**5/10 - w**3/6 + 12*w. Find the second derivative of t(s) wrt s.
-228*s
Let b(s) be the third derivative of 4*s**7/105 + s**5/20 - 11*s**2. What is the third derivative of b(j) wrt j?
192*j
Let q(m) = -m**3 + 2*m**2 - 29*m - 2. Let w(t) = -3*t**3 + 9*t**2 - 117*t - 9. Let p(a) = -9*q(a) + 2*w(a). Find the second derivative of p(g) wrt g.
18*g
Let j be 6/(3 + 27/(-12)). Suppose 12*h - 24 = j*h. What is the third derivative of -2*z**2 + 2*z**2 - z**2 + 2*z**h + z**6 wrt z?
360*z**3
Let z(g) be the third derivative of 2*g**2 + 0*g**5 - 1/6*g**4 + 0*g + 0*g**6 + 0 + 0*g**3 + 1/210*g**7. Find the second derivative of z(x) wrt x.
12*x**2
Suppose 0 = -2*l + 3*l - 1. What is the second derivative of 0*o - o**5 + 1 - l + 2*o wrt o?
-20*o**3
Let g(x) be the first derivative of -7/3*x**3 + 0*x + 4 - 1/4*x**4 + 0*x**2. Find the third derivative of g(m) wrt m.
-6
Suppose 8 = -6*a + 44. What is the third derivative of 7*i**4 - a*i**2 - 6*i**4 + 3*i**2 wrt i?
24*i
Find the first derivative of -10*c**3 + 4 + c**3 + 2*c**3 wrt c.
-21*c**2
Let o(f) be the first derivative of -f**8/336 - f**4/24 - f**3 + 4. Let s(h) be the third derivative of o(h). What is the first derivative of s(b) wrt b?
-20*b**3
Let y(h) = 21*h**3 - 4*h**2 + 22*h. Let k(f) = 42*f**3 - 9*f**2 + 45*f. Let w(b) = -4*k(b) + 9*y(b). What is the second derivative of w(s) wrt s?
126*s
Let a be 1/(-1 + 3)*0. Let f(s) be the second derivative of a + 0*s**3 + 1/20*s**5 + s + 0*s**4 + 1/2*s**2. What is the derivative of f(j) wrt j?
3*j**2
Let u(h) = -5*h**4 - 7*h**3 - 5. Let l be (-60)/8 - 2/(-4). Let r(a) = 3*a**4 + 4*a**3 + 3. Let x(q) = l*r(q) - 4*u(q). Differentiate x(s) wrt s.
-4*s**3
Let p(f) = -17*f**4 - 5*f**3 + 5*f**2 + 5*f + 8. Let z(r) = 26*r**4 + 7*r**3 - 7*r**2 - 7*r - 12. Let h(w) = -7*p(w) - 5*z(w). Differentiate h(m) wrt m.
-44*m**3
Suppose 2*x + 63 = 63. Let n(s) be the third derivative of 0*s**3 + 0*s**4 + 1/60*s**5 + 0*s - 1/60*s**6 + x + 2*s**2. Find the third derivative of n(g) wrt g.
-12
Let p(s) be the first derivative of 11*s**5/5 + 6*s**2 - 22. What is the second derivative of p(j) wrt j?
132*j**2
Let f(h) = 3*h + 3. Let d be f(-4). Let i = 15 + d. What is the third derivative of y**i - 7 + 7 + y**2 wrt y?
120*y**3
Let p(m) be the second derivative of 3*m**7/14 - m**4/6 + 11*m. What is the third derivative of p(g) wrt g?
540*g**2
What is the first derivative of -7*i**4 + 7*i**4 - i**4 + 2 wrt i?
-4*i**3
Let x be ((-12)/(-15))/(2/(-10)). Let p(d) = -3*d**2 + 4. Let l(j) = 3*j**2 + j - 3. Let a(y) = x*l(y) - 3*p(y). What is the second derivative of a(h) wrt h?
-6
Let b(p) = 15*p**5 - 3*p**4 + p. Let v(h) = -29*h**5 + 5*h**4 - 2*h. Let n(m) = 5*b(m) + 3*v(m). What is the second derivative of n(c) wrt c?
-240*c**3
Let f be 7/(-35) - 142/(-10). Find the third derivative of f*g**2 + 4*g**3 - 15*g**2 - 6*g**3 wrt g.
-12
What is the third derivative of -38*h**6 - 16*h**2 + 6*h**3 - 10*h**2 - 6*h**3 wrt h?
-4560*h**3
Suppose 9 = n + 4. What is the derivative of -n*s**4 - 69 + 75 - 2*s**4 wrt s?
-28*s**3
Suppose -2*v + 7 = 3. What is the third derivative of 3*j**5 - 2*j**2 + 5*j**2 - j**5 + 6*j**v wrt j?
120*j**2
Find the third derivative of -2*a**5 + 2 - 2 + 17*a**2 + 24*a**5 wrt a.
1320*a**2
Let n(u) = 1. Let v(z) = -6*z + 1. Suppose 4*p + 2 = w + 10, 0 = 4*w + 16. Let x(h) = p*v(h) + 4*n(h). Find the first derivative of x(o) wrt o.
-6
Let k = 3 + -6. Let w(m) = m**2