
Suppose -w + 5*w = 8. Differentiate -3*r**w + 2*r + 3 - 2*r + 0*r wrt r.
-6*r
Let p(f) = -f**2 - 6*f - 2. Let s(y) = 2*y**2 + 5*y + 2. Let m(n) = 5*p(n) + 6*s(n). What is the first derivative of m(i) wrt i?
14*i
What is the second derivative of -302*d**2 - 2*d**4 + 302*d**2 - 7*d wrt d?
-24*d**2
Find the third derivative of -26*j**3 - 11*j**2 - 13*j**2 + 26*j**3 + j**4 wrt j.
24*j
Let r(s) = s + 1. Let x be r(3). Find the third derivative of 2*j**x + 2*j**2 + 3*j**2 - 2*j**2 wrt j.
48*j
Let l be 856/56 - 2/7. What is the second derivative of 1 + 11*s - 1 + 3*s**3 - l*s wrt s?
18*s
Let w be 1 + 4/(4/9). Find the third derivative of -n**2 - 10*n + w*n + 5*n**6 wrt n.
600*n**3
Let j be 5/2 + (-3)/(-6). Find the first derivative of 4 + j + 5 - 2 + f wrt f.
1
Suppose 2*n - 2*d = -14, n - 3 = -4*d + 3*d. Let q be (-1*2)/(n/3). Find the second derivative of v**2 - q*v + 2*v - v wrt v.
2
Let g = -24 - -27. What is the second derivative of 42*o - 41*o + 2*o**g + 7*o**3 wrt o?
54*o
Let q(w) be the third derivative of 0*w**4 + 1/30*w**5 + 0*w**6 + 0*w - 1/84*w**8 + 0*w**3 + 0 + 0*w**7 + 4*w**2. What is the third derivative of q(g) wrt g?
-240*g**2
What is the second derivative of 37*z**2 + 25*z**2 + 9*z - 35*z wrt z?
124
Let i be 22/8 + 10/40. What is the third derivative of 35*h**2 + 24*h**2 - 68*h**2 + i*h**3 wrt h?
18
Let b = 7 + -8. Let c(l) = 12*l**3 - 7*l**2 - 6. Let q(f) = -f**3 + f**2 + 1. Let p(o) = b*c(o) - 6*q(o). What is the third derivative of p(n) wrt n?
-36
Let i(h) = h**3 + 8*h**2 - 2*h - 12. Let d be i(-8). Let r(s) = 1 + 1 - 5 + d. Let f(m) = -2*m. Let v(l) = f(l) + 4*r(l). Differentiate v(c) wrt c.
-2
Let c(f) be the third derivative of 0*f**7 + 1/12*f**4 + 0*f**5 + 0 + 0*f**6 + 0*f**3 + 0*f + 1/84*f**8 - 5*f**2. What is the second derivative of c(x) wrt x?
80*x**3
Suppose 0 = 3*f + 6, -q + 3*f - 14 = -5*q. Find the first derivative of -q*u**2 - 5 - 3 + 3*u**2 + 5 wrt u.
-4*u
Let p(a) = 11*a**4 - 116*a**2 - 14*a - 7. Let i(b) = -6*b**4 + 59*b**2 + 7*b + 4. Let n(h) = 7*i(h) + 4*p(h). Find the second derivative of n(f) wrt f.
24*f**2 - 102
Let n be (-39)/(-9) - (-2)/(-6). Let b(q) be the first derivative of 0*q**3 + 2 + 0*q**2 + 3/5*q**5 + 0*q**n - q. What is the derivative of b(o) wrt o?
12*o**3
Let u(w) = 3*w + 2. Let l(q) = q**2 + 7*q + 5. Let a(s) = -6*l(s) + 15*u(s). Find the second derivative of a(n) wrt n.
-12
Let b(f) be the first derivative of 3*f**5/20 - 3*f**2/2 - f + 3. Let g(t) be the first derivative of b(t). Differentiate g(m) with respect to m.
9*m**2
Suppose 0 = 2*j + 3*j - 15. What is the second derivative of -k - j*k**3 + 3*k - 5*k - 4*k**3 wrt k?
-42*k
Find the third derivative of 82 + 25*n**3 + 28*n**2 - 82 + n**6 wrt n.
120*n**3 + 150
Let g(y) be the first derivative of y**6/6 - 41*y**3/3 - 36. Find the third derivative of g(p) wrt p.
60*p**2
Suppose 3*z = 3, j - 6*z = -2*z - 2. Let r(q) = -q**2 + 5*q - 3. Let h be r(j). Find the second derivative of 4*a + h*a**5 - 4*a - a wrt a.
60*a**3
Let t(x) be the third derivative of 0*x**3 - 3*x**2 + 1/6*x**4 - 1/30*x**6 + 0*x**5 + 0 + 0*x. Find the second derivative of t(f) wrt f.
-24*f
Let p(h) = -17*h - 12. Let a(v) = 51*v + 37. Let g(c) = 4*a(c) + 11*p(c). Find the first derivative of g(d) wrt d.
17
Let w(u) be the second derivative of -u**4/12 - 11*u**2/2 + 2*u. What is the derivative of w(p) wrt p?
-2*p
Let j be 5*(-1 + 6/10). Let c be (j/7)/((-1)/7). Find the third derivative of 5*n**4 - 3*n**4 + 2*n**c - n**2 wrt n.
48*n
Let v(g) = g**3 - 2*g**2 - g - 4. Suppose -2*r + 6 = -0. Let l be v(r). Find the third derivative of 2*p**2 + 2*p - 5*p**2 + p**4 - l*p wrt p.
24*p
Suppose 20 = 5*j - 0*j. Suppose -j*v + 3*b + 7 = 6*b, 5 = 3*v + 2*b. What is the derivative of v + d + 0*d - 3 wrt d?
1
Let w(g) be the second derivative of 0 - 3/2*g**2 + 0*g**3 + 0*g**4 + 8*g + 1/10*g**5. What is the first derivative of w(d) wrt d?
6*d**2
Let i be (2/6)/(2/12). What is the second derivative of y + y**5 + 2*y**5 - i*y**5 wrt y?
20*y**3
Let p(v) be the third derivative of 11*v**5/30 - v**4/12 - v**3/2 - 18*v**2. What is the derivative of p(b) wrt b?
44*b - 2
Let p(l) = -3*l**2 + 3*l. Let w be (-24)/20 + 1/5. Let b(h) = h**2. Let y(i) = w*p(i) - 4*b(i). Find the second derivative of y(v) wrt v.
-2
Let s(p) = -p**4 - p**2. Let y(g) = 5*g**4 + 4*g**2 + 3. Let l(h) = 12*s(h) + 3*y(h). Differentiate l(a) with respect to a.
12*a**3
Suppose 0 = -3*x + 11 + 1. Differentiate -2 + 0*g**2 + 2*g**2 + 2*g**x - 2*g**2 wrt g.
8*g**3
Let g(o) = -o**3 + o**2 - 1. Let f(x) = 9*x**3 - 6*x**2 + 4. Let p(v) = -f(v) - 2*g(v). Find the third derivative of p(k) wrt k.
-42
Let r(q) be the second derivative of -q + 0*q**4 + 0 + 0*q**5 + 1/30*q**6 + 0*q**2 + 1/3*q**3. Find the second derivative of r(j) wrt j.
12*j**2
Find the second derivative of -17*p - 3*p**5 - 26*p**5 + 3*p**5 wrt p.
-520*p**3
Let z(c) be the second derivative of c**6/40 - c**3/2 + 3*c**2/2 + c. Let i(x) be the first derivative of z(x). Differentiate i(u) with respect to u.
9*u**2
Find the second derivative of -2 + 112*m**3 + 2 - 29*m - 121*m**3 wrt m.
-54*m
Suppose -6*b + 4*k = -2*b - 8, 0 = 5*b + 5*k - 10. Suppose b*r = r. What is the first derivative of -5 + r*u - u**4 + 4 + 0*u wrt u?
-4*u**3
Let s(b) = 6*b**2 + 2*b + 7. Let a(c) = -c**2 + c - 1. Let t(r) = -6*a(r) + 3*s(r). Find the first derivative of t(q) wrt q.
48*q
Suppose -2 - 8 = -5*y. Differentiate 2 - 4 + 1 + y - 3*c**2 with respect to c.
-6*c
Suppose -i + 15 = 5*m, 0 = 3*m - 2*i + 3*i - 11. Suppose 0 = 3*t + 8 - 23. What is the second derivative of m*l + l**t - 5*l + l wrt l?
20*l**3
Let a(i) = -i**3 - i**2 + i - 15. Let l be a(0). Let d be (-11)/(-3) + 10/l. Differentiate 4*b**3 + d + 0*b**3 - 4 - 2 with respect to b.
12*b**2
Let n(a) = a**3 + a**2 - 1. Let v(t) = -t**5 - 2*t**3 - 2*t**2 + 5*t + 2. Let m(l) = -2*n(l) - v(l). What is the second derivative of m(z) wrt z?
20*z**3
Suppose -4*u - 12 = -8*u. Let f be 8/(-6)*6/(-4). Find the second derivative of -3*s**u + 4*s**3 + 0*s - f*s wrt s.
6*s
Let y(m) be the third derivative of -m**10/30240 + m**6/180 - m**5/20 - m**2. Let w(p) be the third derivative of y(p). Differentiate w(u) wrt u.
-20*u**3
Let z be (-3 - 2/(-1))*-2. Suppose 0 = i - 0 - z. What is the derivative of -j**3 + i + 3*j - 3*j wrt j?
-3*j**2
Find the second derivative of -x - 25*x + 7*x + 7*x**3 - 5*x wrt x.
42*x
Let v = -113/6 - -39/2. Let r(f) be the first derivative of 3 + v*f**3 + f**2 + 0*f. Find the second derivative of r(o) wrt o.
4
Find the second derivative of 3*g**5 - 415*g + 3*g**5 + 406*g + g**5 wrt g.
140*g**3
Let n(z) be the third derivative of -z**7/210 - z**5/40 - z**3/6 + z**2. Let b(p) be the first derivative of n(p). Find the second derivative of b(w) wrt w.
-24*w
Let k(n) be the third derivative of -n**7/35 + 13*n**5/60 + 11*n**2. What is the third derivative of k(v) wrt v?
-144*v
Differentiate 2 - 8 - 7*q - q with respect to q.
-8
Let k(a) = a**4 + a**2 + a - 1. Let j be (-1)/(2*(-3)/18). Let n(c) = 4*c**4 + 3*c**2 + 3*c - 2. Let s(o) = j*k(o) - n(o). What is the derivative of s(b) wrt b?
-4*b**3
Let g(f) be the third derivative of f**5/12 - f**4/12 - f**2. Find the second derivative of g(m) wrt m.
10
Let f(c) = -23*c**4 - 8*c**2. Let j(g) = 11*g**4 + 4*g**2. Let z(n) = -6*f(n) - 13*j(n). Find the third derivative of z(q) wrt q.
-120*q
What is the third derivative of -17*t**2 + t**2 + 2*t**2 + 0*t**3 + 3*t**3 wrt t?
18
Let h(w) be the first derivative of -w**5/20 + w**4/6 + 2*w**2 - 2. Let o(z) be the second derivative of h(z). What is the second derivative of o(p) wrt p?
-6
What is the derivative of -26*r + 8*r + 53 + 8*r - 38*r wrt r?
-48
Let v(y) = 6 - 2*y - 10 - 8 - 1. Let t(g) = -3. Let k(w) = 15*t(w) - 3*v(w). What is the first derivative of k(l) wrt l?
6
What is the third derivative of 8*s**6 - 15*s**2 + 13*s**2 + 12*s**2 + 5*s - 3*s wrt s?
960*s**3
Differentiate 272*x**2 - 270*x**2 - 7 + 2 wrt x.
4*x
Find the first derivative of 4 + 3*j**3 - 9*j**3 - 7*j**3 + 0*j**3 wrt j.
-39*j**2
Suppose -14 = -2*o - k - 2*k, 0 = 3*o - 2*k - 21. Suppose -o*u + 3*u = 0. What is the derivative of u*q + 1 - q + 4*q wrt q?
3
Suppose 3*p + 10 = -4*w, 3*p = 2*w + 7 + 7. Find the third derivative of 2*f**2 + 0*f**6 - 3*f**6 - 5*f**p wrt f.
-360*f**3
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