*l**2
Let h(a) = a. Let s(w) = -2*w**2 + 3*w + 2. Let r = -7 - -16. Let f = r + -6. Let t(y) = f*h(y) - s(y). What is the derivative of t(g) wrt g?
4*g
Let q(n) be the first derivative of n**7/210 + n**6/90 + 2*n**3/3 + 3. Let w(a) be the third derivative of q(a). What is the third derivative of w(o) wrt o?
24
Find the second derivative of 7*w**4 - 221*w + 113*w + 117*w wrt w.
84*w**2
Find the second derivative of -5*o**3 - o - 7*o + 4*o**3 wrt o.
-6*o
Let m = 28 + -34. Let j(i) = i**3 + 3*i**2 + 6. Let g(s) = s**3 + 7*s**2 + 13. Let b(n) = m*g(n) + 14*j(n). Differentiate b(d) with respect to d.
24*d**2
Let i(q) be the first derivative of -1 + 1/4*q**4 + 0*q**2 + 0*q**3 + 2*q. What is the first derivative of i(d) wrt d?
3*d**2
Let z(x) be the third derivative of x**5/30 - x**4/12 + 2*x**2. What is the second derivative of z(t) wrt t?
4
What is the second derivative of -7*w + 2 + 0*w**2 - 2 - 8*w**2 wrt w?
-16
Suppose -1 = 5*n + 9, 2*f - 2 = -3*n. Suppose 5*t - 6 = f. Find the third derivative of -l**2 + 2*l**2 + 0*l**t + l**6 wrt l.
120*l**3
Let l(m) = -2*m**3 + m**2. Let a be l(-1). Find the third derivative of 0*n**3 + 4*n**a - 19*n + 3*n**2 + 19*n wrt n.
24
What is the second derivative of 18*y - 14*y - 6*y**2 + 11*y**2 wrt y?
10
Suppose 3 = z - j, -6*j + j + 1 = 3*z. Suppose 0 = z*b + 2 - 6. What is the second derivative of y + 19*y**2 - 20*y**2 - b*y wrt y?
-2
Let v = 7 + -2. What is the first derivative of v + 5 - 16 + 3*j**3 wrt j?
9*j**2
Let v(n) = -3*n - 5. Let c be v(-3). Let b(f) = 3*f - 3. Let r be b(2). Find the second derivative of -r*q - q**5 - 4*q**c + 4*q**4 wrt q.
-20*q**3
Let p(i) be the second derivative of i**9/504 - i**5/30 - i**2 - 2*i. Let l(n) be the first derivative of p(n). What is the third derivative of l(x) wrt x?
120*x**3
Let j(l) = -6*l**4 - 5*l**3 - 6*l**2. Let z(k) = -18*k**4 - 16*k**3 - 18*k**2. Let o(a) = 16*j(a) - 5*z(a). What is the third derivative of o(r) wrt r?
-144*r
Let a(k) be the first derivative of 6*k**5/5 - 10*k**3/3 - 8. What is the third derivative of a(m) wrt m?
144*m
Suppose 9 + 6 = 5*a. Let b(t) be the first derivative of -a*t + 3/2*t**2 + 1. What is the derivative of b(m) wrt m?
3
Let k(j) = -21*j**2 - j - 9. Let r(o) = 5*o**2 + 2. Let x(v) = -3*v - 9. Let s be x(-6). Let h(l) = s*r(l) + 2*k(l). Find the second derivative of h(q) wrt q.
6
Let x(w) = 2*w**3 + 5*w - 4. Suppose -2*c - 5 = -c. Let j(n) = 3*n**3 + 6*n - 5. Let g(p) = c*x(p) + 4*j(p). What is the second derivative of g(y) wrt y?
12*y
Suppose -3*z + 6 = -3*l, -l = 2*z + 2*z - 23. Differentiate -3 + 4*h**3 + 4 - 4*h**l - 4*h**3 with respect to h.
-12*h**2
Let z = 19 + -16. Differentiate -6*b + 2 - 3*b**3 - 2*b**z + 6*b with respect to b.
-15*b**2
Let h(s) be the third derivative of s**9/5040 - s**5/40 - 3*s**4/8 - 9*s**2. Let g(n) be the second derivative of h(n). Differentiate g(i) with respect to i.
12*i**3
Let p(s) be the first derivative of s**5/5 + 10*s + 3. Differentiate p(h) with respect to h.
4*h**3
Let x = -5 + 8. Let p = x + -2. Differentiate p - 2 - 1 + 2*a wrt a.
2
Suppose -j - 6 = -5*p + j, 0 = 3*p - 2*j - 2. Let i(b) be the first derivative of -1/2*b**2 + 0*b + p - 1/3*b**3. Find the second derivative of i(v) wrt v.
-2
Find the second derivative of -2*z**4 + 16*z - 10*z**4 + 0*z wrt z.
-144*z**2
Let s(u) be the second derivative of 25*u**7/42 - 7*u**3/6 - 3*u**2/2 + 12*u. Find the second derivative of s(x) wrt x.
500*x**3
Let v(c) be the second derivative of 1/10*c**5 + 0 + 0*c**4 + 1/2*c**2 + 0*c**3 + 4*c. What is the first derivative of v(z) wrt z?
6*z**2
Let s(j) be the second derivative of -j**6/15 + 2*j**2 - 11*j. Find the first derivative of s(b) wrt b.
-8*b**3
Let o(f) = -f**4 + f**3 - f**2 + f. Let h(a) = -12*a**4 + 3*a**3 - 3*a**2 + 16*a. Let x(c) = h(c) - 3*o(c). What is the second derivative of x(i) wrt i?
-108*i**2
Let n(y) = 5*y**2 - 22*y - 4. Let g(i) = -10*i**2 + 45*i + 9. Let c(b) = -4*g(b) - 9*n(b). Find the second derivative of c(t) wrt t.
-10
Let c(v) = 6*v**4 - 4*v**3 - 10*v**2. Let l(q) = 5*q**4 - 3*q**3 - 9*q**2. Let k(r) = 3*c(r) - 4*l(r). What is the third derivative of k(y) wrt y?
-48*y
Find the second derivative of -13*q + 17*q - 5*q**5 + 0*q**5 + 2*q**5 wrt q.
-60*q**3
Let c(z) = 5*z**2 + 6*z - 5. Let f(x) = -5*x**2 - 6*x + 4. Let b(n) = -4*c(n) - 5*f(n). Find the second derivative of b(v) wrt v.
10
Let y(f) = 8*f + 21. Let q(g) = 4*g + 11. Let z(a) = 7*q(a) - 3*y(a). What is the first derivative of z(l) wrt l?
4
Let q(h) be the second derivative of 0*h**6 + 0 + 1/3*h**3 + 0*h**5 + 0*h**2 + 0*h**4 - 3*h - 1/14*h**7. What is the second derivative of q(i) wrt i?
-60*i**3
Find the third derivative of 10*x**2 - 17*x**3 - 22*x**2 - 10*x**2 wrt x.
-102
Let s(i) be the second derivative of -5*i**8/56 - i**4/4 + 5*i. Find the third derivative of s(a) wrt a.
-600*a**3
Let d(v) = -v**2 + 4*v. Let l be d(4). Find the second derivative of 2*i + l*i + 3*i**5 + 9*i**2 - 9*i**2 wrt i.
60*i**3
Let b be (4/(-5))/((-12)/90). Let a(t) = -5*t**2 - 3*t - 6. Let l(p) = -p**2 - 1. Let v(o) = b*l(o) - a(o). Find the second derivative of v(i) wrt i.
-2
Find the second derivative of -43*m**3 - 24*m**4 + 43*m**3 + 36*m wrt m.
-288*m**2
Let b be 6 - (-6)/(-3 + 0). Let n = -3 + b. What is the derivative of -2 - 3*o + 4*o + n wrt o?
1
Let x(b) be the third derivative of -b**7/21 + 3*b**4/8 - 15*b**2. Find the second derivative of x(i) wrt i.
-120*i**2
Let l(w) be the second derivative of w**4/6 - w**3 - 45*w**2/2 - 46*w. What is the first derivative of l(q) wrt q?
4*q - 6
Suppose 0 = 5*p - 0*p + 15. Let f be ((-1)/p*0)/1. Differentiate 4 - 2*v + 0 - 1 + f wrt v.
-2
What is the third derivative of -3*w**6 + 5*w**6 + 2*w**2 - 9*w**2 wrt w?
240*w**3
Let l(t) be the third derivative of t**8/5040 + t**6/180 + t**5/30 + 4*t**2. Let n(o) be the third derivative of l(o). Differentiate n(q) with respect to q.
8*q
Let r(u) = 7*u**2 - 12*u + 3. Let x(a) = 6*a**2 - 13*a + 4. Let g(c) = -4*r(c) + 3*x(c). What is the second derivative of g(y) wrt y?
-20
Let t(j) be the first derivative of 0*j**3 + 0*j**2 + 2/5*j**5 - 1 - 4*j + 0*j**4. What is the first derivative of t(i) wrt i?
8*i**3
Let q(m) = 31*m - 8. Let n(c) = 31*c - 9. Let g(w) = 4*n(w) - 3*q(w). Differentiate g(i) with respect to i.
31
Let t(d) be the first derivative of 4*d**6 + d**3/3 - 8*d**2 + 32. What is the third derivative of t(g) wrt g?
1440*g**2
Suppose 4*u - 10 = 2*s, 4 = 3*u + 5*s + 3. Let h be ((-36)/(-24))/(6/16). Find the third derivative of 5*p**2 - h*p**u + 5*p**3 - p**3 wrt p.
24
Let g(w) be the second derivative of -w**9/1008 + w**6/360 + w**3/6 - w. Let j(o) be the second derivative of g(o). Find the third derivative of j(l) wrt l.
-180*l**2
Let o(f) = -41*f**3 + 17*f + 26. Let p(u) = 14*u**3 - 6*u - 9. Let i be -51*(-1)/3*1. Let a(s) = i*p(s) + 6*o(s). Differentiate a(z) wrt z.
-24*z**2
Let y be (-1)/(-4) - 17/4. Let m = y - -7. What is the third derivative of f**3 + m*f**3 + f**2 - 2*f**3 wrt f?
12
Let h = -61 - -66. Let w(o) be the third derivative of 0 + o**2 + 0*o**3 + 1/24*o**4 + 0*o + 1/30*o**6 + 0*o**h. What is the second derivative of w(u) wrt u?
24*u
What is the third derivative of -109 + 109 - 25*b**4 + 16*b**2 wrt b?
-600*b
Let b(i) = -9*i - 5. Let o(d) = -d**3 - 8*d - 4. Let v(p) = 4*b(p) - 5*o(p). Find the second derivative of v(y) wrt y.
30*y
Let v(j) be the third derivative of 8*j**2 - 1/30*j**6 + 0 + 0*j**5 + 0*j**3 + 1/12*j**4 + 0*j. What is the second derivative of v(x) wrt x?
-24*x
Suppose 7 + 1 = 2*x. Find the first derivative of 1 + x*z**3 + 8 - 10 wrt z.
12*z**2
Find the second derivative of 20 + 122*m - 9 - 12*m**4 - m**3 - 120*m wrt m.
-144*m**2 - 6*m
Let a be 4/10 - (-138)/5. Suppose l - 2*i = 2*l + 2, 0 = 4*l - 4*i - a. Find the first derivative of 1 - 3*t**l - 3 + t**4 wrt t.
-8*t**3
Let w(k) be the third derivative of 0*k**6 + 0*k**4 + 4*k**2 + 1/84*k**8 + 1/15*k**5 + 0 + 0*k**3 + 0*k**7 + 0*k. Find the third derivative of w(s) wrt s.
240*s**2
Suppose 0*w - 6 = -3*w + 5*v, 0 = 5*w - v - 10. Let c be w/5*(10 + 0). Find the first derivative of -3 + 1 + c - u wrt u.
-1
Let s(t) = 57*t**3 - 23*t - 3. Let y(f) = 56*f**3 - 23*f - 2. Let v(h) = 2*s(h) - 3*y(h). Find the second derivative of v(c) wrt c.
-324*c
Let m(t) = -t**6 + 2*t