
4*k**3
Find the second derivative of 9*s**5 + 0*s**4 + 0*s**4 - 11*s wrt s.
180*s**3
What is the first derivative of -12*b + 1 + 21*b - 4 + 7*b wrt b?
16
Suppose 3*o + 0*o = 6. Find the first derivative of 3*a**3 - 3 - 24*a**2 + 24*a**o wrt a.
9*a**2
Find the third derivative of 4*w**5 + 124*w**4 + 2*w**2 - 124*w**4 wrt w.
240*w**2
Suppose -15 = -3*d, 3*q = 3*d - 0*d - 12. Let k(b) = 2 - 2 + q. Let j(r) = -r + 8. Let x(t) = -j(t) + 6*k(t). What is the derivative of x(a) wrt a?
1
Let c(p) be the second derivative of p**6/30 + 5*p**2/2 - 8*p. What is the first derivative of c(w) wrt w?
4*w**3
Let j(y) = -4*y**4 + 4*y**2 + 3. Let l(s) = -5*s**4 + 5*s**2 + 4. Let x(v) = 4*j(v) - 3*l(v). What is the third derivative of x(f) wrt f?
-24*f
What is the first derivative of -c**4 + 16 + 13*c**4 - c**2 + c**2 wrt c?
48*c**3
What is the second derivative of 37*j**2 + 12*j**2 - 4*j**2 - 55*j wrt j?
90
Let z be 4 + -6 + 3 - -1. What is the third derivative of -3*u**4 + 4*u**z - u**4 - 2*u**2 + u**2 wrt u?
-96*u
Let a be 2/((-36)/(-8) - 4). Differentiate -a*i**2 + 4*i**2 + 20 - 14 - 8*i**3 wrt i.
-24*i**2
Suppose -6*r = -44 + 2. Find the third derivative of 56 + r*n**5 - 3*n**2 - n**2 - 56 wrt n.
420*n**2
Let j(w) be the first derivative of 3/5*w**5 + 0*w**4 + 3 + 1/2*w**2 + 0*w**3 + 0*w. What is the second derivative of j(n) wrt n?
36*n**2
Let j(c) = -29*c**4 - 2*c**2 - 24*c + 2. Let t(q) = -116*q**4 - 9*q**2 - 95*q + 9. Let u(f) = -9*j(f) + 2*t(f). What is the second derivative of u(l) wrt l?
348*l**2
Let w(i) be the third derivative of -i**8/84 - 13*i**4/24 - i**2. What is the second derivative of w(l) wrt l?
-80*l**3
Let t(q) be the third derivative of 0 - 1/12*q**4 + 3*q**2 - 1/6*q**3 + 0*q. Differentiate t(x) with respect to x.
-2
Let c(g) = -3*g**4 + 8*g**2 + 6*g - 6. Let o(f) = -f + 1. Let s(l) = -c(l) - 6*o(l). Find the third derivative of s(x) wrt x.
72*x
Let v = 187/122 - 2/61. Let p(a) be the first derivative of v*a**2 + 0*a**3 + 1/2*a**6 + 0*a + 0*a**4 + 0*a**5 - 3. Find the second derivative of p(l) wrt l.
60*l**3
Let k(a) be the second derivative of -a**8/560 + a**4/24 + a**3/3 + 2*a. Let p(c) be the second derivative of k(c). Differentiate p(u) wrt u.
-12*u**3
Let l be (-18)/(-12)*(2 + 0). Find the second derivative of -f + l*f**5 - f**5 - 15*f**4 + 15*f**4 wrt f.
40*f**3
Let b(t) = -t**2 - 4*t**2 + 10 + 3 + 4*t**3. Let q(i) = -i**3 + i**2 - 3. Let j(x) = 6*b(x) + 26*q(x). What is the third derivative of j(l) wrt l?
-12
Let m(j) be the third derivative of -3*j**6/40 - 5*j**3/3 + 9*j**2. Differentiate m(u) wrt u.
-27*u**2
Differentiate -28 + 12*c**2 - 1 - 10*c**2 - 3 wrt c.
4*c
Find the second derivative of m + 3*m - m**5 + m wrt m.
-20*m**3
Suppose g - a = -5, -a = -3*g + 7*g - 5. Let j(y) be the first derivative of g*y**2 + 0*y**3 - y - 2 - 1/2*y**4. What is the first derivative of j(f) wrt f?
-6*f**2
What is the second derivative of 7*q**3 + 7*q**3 + 38 - 2*q - 38 wrt q?
84*q
Let l(h) be the first derivative of 11*h**6/6 + h**3/3 + 5. What is the third derivative of l(y) wrt y?
660*y**2
Let m(v) = -v**2 + v. Let j(s) = 5*s**2 + 3 + 0*s - 1 - 3*s. Let l(t) = -2*j(t) - 6*m(t). Differentiate l(u) with respect to u.
-8*u
Find the first derivative of -4*d**2 + 10 + 9*d**2 - 2 wrt d.
10*d
Let y be 1 + 1 - (2 + 1). Let o be y/6 + 39/18. Find the third derivative of -5*p**5 + 2*p**5 - o*p**2 + 2*p**5 wrt p.
-60*p**2
Find the second derivative of 6*f**5 - 4*f**5 - f + 3*f**5 wrt f.
100*f**3
Find the second derivative of -21*r + 13*r - 36*r**4 - 49*r wrt r.
-432*r**2
What is the second derivative of -33*r**4 + 26*r + 22*r**4 - 16*r**4 + 8*r wrt r?
-324*r**2
Suppose 0 = 4*j - 5*g - 8, -4*g + 1 = 2*j - 3. What is the third derivative of 7*s**2 + 4*s**2 - 4*s**j - 5*s**3 wrt s?
-30
Suppose w + 8 = 5*w. Suppose 4*q + 4*u - 41 = -u, 16 = -q + 4*u. Find the third derivative of 5*g**4 + g**2 - w*g**q - 2*g**4 wrt g.
24*g
Find the first derivative of 3*v + 48*v**4 - 3*v + 6 wrt v.
192*v**3
Let n be ((-24)/15)/(1/(-5)). Let o be 1/((n/(-6))/(-4)). Find the third derivative of 0*z**3 + 2*z**5 + 0*z**o - 2*z**2 wrt z.
120*z**2
Let b(t) = -3*t**2 - t + 11. Let o(v) = -v**2 + 4. Let d(n) = 3*b(n) - 8*o(n). Let z be d(-3). Differentiate -z + 2 + 1 - 2*p**4 wrt p.
-8*p**3
Suppose -1 - 7 = -4*x. Suppose -2*u + x - 27 = -5*g, 0 = 3*u. Find the first derivative of -5*j + 1 + 2 - g + 2*j wrt j.
-3
Let s(q) = 2*q**2 + 4*q - 3. Let n be s(-4). Let c = -9 + n. Find the third derivative of -i**2 + i**c + 2*i - 2*i wrt i.
24*i
Let a = -5 - -7. Find the third derivative of 2*u**5 + 0*u**2 - u**5 - 2*u**a + u**5 wrt u.
120*u**2
Find the third derivative of -7*i**2 + i**5 + 5*i**5 + 6*i**2 - 11*i**2 wrt i.
360*i**2
Let m(z) be the third derivative of -z**8/1680 + z**5/120 - z**4/24 - 4*z**2. Let f(x) be the second derivative of m(x). Differentiate f(w) with respect to w.
-12*w**2
Let z(a) be the first derivative of 17*a**2/2 + 8*a - 20. What is the first derivative of z(v) wrt v?
17
Let p be (-2 - 0) + 4 + 3. Let c = 8 - p. Find the first derivative of 0 - 1 + c*s**3 - 2*s**3 wrt s.
3*s**2
Let n(x) = -x + 1. Let c(i) = i**2 + 2*i - 4. Let o be c(-3). Let y(d) = 17 - 2*d - 5 - 4*d. Let l(r) = o*y(r) + 9*n(r). Differentiate l(v) wrt v.
-3
Let m(q) be the first derivative of 0*q**2 + 0*q**6 + 4/3*q**3 + 0*q**4 + 1/7*q**7 + 0*q**5 + 0*q - 5. Find the third derivative of m(b) wrt b.
120*b**3
Find the first derivative of 309*u**3 + 1 + 6 - 8*u**4 - 309*u**3 wrt u.
-32*u**3
Find the third derivative of -72*p**4 - 13*p**6 + 72*p**4 - 2*p**2 wrt p.
-1560*p**3
Let p(o) = -o**3 - 3*o + 1. Let l be (-2)/2 + 2 + 3. Let m(s) = 2*s**3 + 4*s - 2. Let a(g) = l*p(g) + 3*m(g). Find the first derivative of a(r) wrt r.
6*r**2
Let d(s) be the second derivative of 0*s**2 + 0*s**3 - 1/10*s**5 + 0 + 8*s - 1/6*s**4. What is the third derivative of d(c) wrt c?
-12
Let f(d) = 3*d**3 + d**2 - d + 1. Suppose 3*s - 5*s + 2 = 0. Let t be f(s). Find the first derivative of 5 - 3 + 1 - 2*h**t + 7*h**4 wrt h.
20*h**3
Let d(i) = -i**2 + 8*i - 9. Let t be ((-1)/(-2))/(3/36). Let m be d(t). Find the second derivative of -3 + m*z**2 + 3 - z wrt z.
6
Differentiate -31*n + 34*n - 3*n**2 - 4*n**2 + 12 wrt n.
-14*n + 3
Let f be 4/(-16) - (-11)/(-4). Let d = -1 - f. What is the first derivative of 1 - 1 + 0*q**3 - 2*q**3 + d wrt q?
-6*q**2
Let c(s) be the second derivative of -s**7/840 - s**4/6 + 2*s**3/3 - 3*s. Let y(x) be the second derivative of c(x). What is the derivative of y(d) wrt d?
-3*d**2
Let m(r) = 8*r**2 - 2. Let n(h) = -15*h**2 + 5. Let a(i) = -7*m(i) - 3*n(i). Find the first derivative of a(j) wrt j.
-22*j
Let c(y) be the first derivative of 2*y**6 - 11*y**2/2 - 5. What is the second derivative of c(v) wrt v?
240*v**3
Let b(y) = -56*y - 32. Let a(c) = -57*c - 31. Let k(w) = 2*a(w) - 3*b(w). Differentiate k(t) with respect to t.
54
Differentiate -10*m**2 + 9 + 3*m**2 - 1 with respect to m.
-14*m
Let g be (2/6)/((-3)/(-36)). Find the first derivative of 1 - 3*a**4 + 0 + 0*a**g wrt a.
-12*a**3
Suppose -3*u + d = 43, 4*u + 3 = -5*d - 48. Let k be 2/(-7) + (-46)/u. Differentiate 2*t**3 + 3 - 2 - 4*t**k with respect to t.
-6*t**2
Let g = 3 - 1. Let y = 0 + g. What is the first derivative of 1 - 4*x**y + x**2 + 0 wrt x?
-6*x
Suppose 3*p + 4*n = -0*n - 11, 0 = 2*p + 4*n + 14. Let h(x) = x. Let g be h(2). Differentiate -p - g*z**2 + 1 - z**2 + z**2 with respect to z.
-4*z
Let w(n) = -n + 1. Suppose 3*h + 10 = 4*f, -4*h = 4*f - 0 + 4. Let q be w(h). What is the first derivative of 7*t**3 - 3*t**3 + 3 + 0*t**q wrt t?
12*t**2
What is the second derivative of -35*w**4 + 7*w + 0*w**4 - 9*w wrt w?
-420*w**2
Let s(m) be the second derivative of -m**10/1680 + m**6/60 + m**3 + 7*m. Let b(l) be the second derivative of s(l). Find the third derivative of b(u) wrt u.
-360*u**3
Let m(h) be the first derivative of 3*h**5/20 - 2*h**2 - 2*h - 1. Let k(i) be the first derivative of m(i). Find the first derivative of k(o) wrt o.
9*o**2
Differentiate 11 - 154*p**2 + 154*p**2 + 6*p**4 wrt p.
24*p**3
Suppose 4*z - 15 = 2*i - 3, -8 = 4*i - 4*z. Let d = i + -1. What is the first derivative of d + 1 - p**4 + 3*p**4 wrt p?
8*p**3
Let j(b) = 9*b**4 - 2*b**3 + 32*b**2. Let q(p) = 17*p**4 - 5*p**3 + 65*p**2. Let x(t) = -5*j(t) + 2*q(t).