
-16*x**3 - 26*x
Differentiate -9 - 6*o - 101 + 27*o wrt o.
21
Suppose -58 = s - 73. What is the first derivative of 16*l**2 - 20 + 14*l**2 - s wrt l?
60*l
Let k(z) be the first derivative of -4*z**5/5 - z**4/4 - 179*z + 206. Differentiate k(f) wrt f.
-16*f**3 - 3*f**2
Let w(q) be the second derivative of q**11/7920 + q**7/1260 + q**4/2 + 7*q. Let d(h) be the third derivative of w(h). Find the third derivative of d(s) wrt s.
840*s**3
Let a(i) be the first derivative of 2*i**5/5 - 16*i**3/3 + 68*i + 5. Differentiate a(k) wrt k.
8*k**3 - 32*k
Let f(y) be the second derivative of 71*y**5/20 + y**4/12 - y**2/2 + 3*y + 6. What is the third derivative of f(h) wrt h?
426
Suppose q = 2*c + c - 124, 2*c = -q + 81. What is the first derivative of -4*l - 54 - 15 + c + 22*l wrt l?
18
Let l(b) = -b**2 + 18*b + 40. Let j be l(20). Find the second derivative of -w**2 + 3*w**2 + 45*w + w**2 + j*w**2 wrt w.
6
Suppose 81 = -3*n - 0*n. Let y = n + 29. Find the first derivative of 5*o**y + 1 + 0*o**2 - 9 wrt o.
10*o
Find the second derivative of 373*d**4 + d**3 - 3*d**3 + 2*d + 41 - 416*d**4 wrt d.
-516*d**2 - 12*d
Let q(u) be the first derivative of 101*u**3 + 809*u - 309. Find the first derivative of q(d) wrt d.
606*d
Let v = 20 - 50. Let s = -21 - v. Find the third derivative of s*p - 2*p**2 - 4*p**2 - 3*p**6 - 9*p wrt p.
-360*p**3
Let f = 6675/8 - 834. Let y(v) be the third derivative of 0*v**3 + 0*v + f*v**4 - 10*v**2 + 0 + 0*v**5 - 1/12*v**6. Find the second derivative of y(z) wrt z.
-60*z
Let u(v) = -v**3 + v. Let m = -26 + 30. Let x(a) = -5*a**5 - 4*a**3 - a**2 + 4*a. Let g(w) = m*u(w) - x(w). Find the third derivative of g(i) wrt i.
300*i**2
Suppose -5*q + 3 = -3*n, -4*q + 5*q = -4*n - 4. Find the second derivative of q*g**4 + 3*g + 3*g**4 - 9*g - 5*g wrt g.
36*g**2
Let d(j) = -208*j**2 - 10*j + 7. Let q(h) = -415*h**2 - 21*h + 13. Let g(c) = -5*d(c) + 2*q(c). What is the second derivative of g(r) wrt r?
420
What is the third derivative of 10*v**3 + 453*v**6 - 12*v**3 - 5*v**3 + 7*v**3 - 197*v**2 wrt v?
54360*v**3
Let f be (9 - -1) + -2 - 4. What is the first derivative of -79*x + 35*x + 8 + 5*x**f + 44*x wrt x?
20*x**3
Let q(z) = -z + 9. Let u be q(5). Suppose 4*t = 2*s + 254, -5*t + 0*t = 3*s - 290. What is the first derivative of -t*o + u*o**2 + 6 + 61*o wrt o?
8*o
Let v(d) be the first derivative of -11/7*d**7 + 0*d**6 + 26/3*d**3 - 23 + 0*d**2 + 0*d**5 + 0*d**4 + 0*d. What is the third derivative of v(z) wrt z?
-1320*z**3
Let t be (2 - -2)*(-3 + 2). Let r(i) = 4*i**2 + 8. Let n(q) = 5*q**2 + 9. Let u(h) = t*n(h) + 6*r(h). Find the first derivative of u(v) wrt v.
8*v
Let d(s) = 2*s**2 - 8*s - 41. Let z(l) = l**2 + l + 1. Let x(w) = d(w) + 6*z(w). Find the second derivative of x(y) wrt y.
16
Let h be (0 - -15)*(-6)/(-18). Suppose -h*z + 1 = -9. Find the second derivative of -6*u**z + 16*u + 2*u**2 - 6*u wrt u.
-8
Let r(t) = -1518*t**3 + 2921. Let j(q) = 38*q**3 - 73. Let m(s) = -161*j(s) - 4*r(s). Differentiate m(i) wrt i.
-138*i**2
Suppose -5*w - 20 = 0, 0*i = 2*i - 4*w - 16. Suppose i = -2*c - 2*c. Find the second derivative of 10*r + c*r**4 + 4*r**4 - r**4 wrt r.
36*r**2
Let q(d) = -13*d**4 + 40*d. Suppose -24*m = -28*m + 16. Let z(p) = 6*p**4 - 20*p. Let w(b) = m*q(b) + 9*z(b). What is the second derivative of w(v) wrt v?
24*v**2
Let a(y) be the second derivative of 0 + 0*y**3 + 0*y**2 + 13*y + 7/3*y**4 + 0*y**5 + 9/10*y**6. What is the third derivative of a(k) wrt k?
648*k
What is the second derivative of 230*g**5 + 280*g**5 + 179*g + g**2 - 569*g**5 wrt g?
-1180*g**3 + 2
Let t(g) = g**3 - g**2 - 2*g + 2. Let u be t(2). Suppose 7 = -u*w + 21. Find the first derivative of -w*k**4 - 3 + 12*k**4 + k**2 - k**2 wrt k.
20*k**3
Let d(a) be the third derivative of 0 + 3*a**2 + 0*a - 5/24*a**4 + 0*a**3 - 1/12*a**5. What is the second derivative of d(k) wrt k?
-10
Let u(i) be the first derivative of -13*i**8/56 + i**4/12 - 8*i - 9. Let b(l) be the first derivative of u(l). What is the third derivative of b(g) wrt g?
-1560*g**3
What is the third derivative of 25*j**2 + 83*j**5 - 2*j**2 + 18*j**2 wrt j?
4980*j**2
Let f be 30/9 + (-2)/(-3). What is the second derivative of 2*r + f*r - 5*r**5 - r + r**5 wrt r?
-80*r**3
Let q(l) be the second derivative of l**9/756 - l**6/60 + 3*l**3 - 22*l. Let h(o) be the second derivative of q(o). What is the third derivative of h(x) wrt x?
240*x**2
Suppose -5*a + 8 + 12 = 0. Let d(k) = k**2 - 6*k + 5. Let v be d(5). What is the derivative of 5*o**a + 2 + v - 7 wrt o?
20*o**3
What is the third derivative of -67*m**4 - 6*m**2 + 65*m**2 - 4*m + 4*m wrt m?
-1608*m
Let k(l) be the second derivative of 0*l**4 + 3/14*l**7 + 0 + 0*l**5 + 0*l**6 + 0*l**2 - 5/3*l**3 + 2*l. Find the second derivative of k(x) wrt x.
180*x**3
Let z(i) be the first derivative of -111*i**5/5 - 394*i - 196. Differentiate z(n) wrt n.
-444*n**3
Let w(c) = -18*c**2 + 12*c + 6. Let a be ((-2)/5)/((-10)/(-300)). Let m(y) = -y**2 + y - 1. Let d(k) = a*m(k) + w(k). Find the first derivative of d(r) wrt r.
-12*r
Let h(r) be the third derivative of r**8/336 - 23*r**5/60 + r**4/12 - r**3/6 - 64*r**2. What is the second derivative of h(w) wrt w?
20*w**3 - 46
Let q(n) = -n**2 - 1. Let p(y) = 4*y**5 - 4*y**5 + y**2 + 13*y**5 + 5. Let h(k) = p(k) + 5*q(k). Find the third derivative of h(d) wrt d.
780*d**2
Let i(j) be the third derivative of j**7/30 - j**6/15 + j**5/30 + 7*j**4/8 + 63*j**2. What is the third derivative of i(y) wrt y?
168*y - 48
Let q(n) = -n**2 - 2. Let w(o) = -56*o**2 + 49*o - 28. Let m(r) = -14*q(r) + w(r). Find the second derivative of m(k) wrt k.
-84
Let r(k) be the first derivative of 10*k**6 + 36*k**2 - 46. Find the second derivative of r(a) wrt a.
1200*a**3
Let f(q) be the second derivative of 7 - 26/3*q**3 + 2*q - 7/2*q**4 + 0*q**2. What is the second derivative of f(l) wrt l?
-84
Let x(r) = r**2 + 2*r - 1. Let z be x(-4). What is the derivative of -2 - 6*j**2 + 14*j**2 + 0*j**2 - z wrt j?
16*j
Let y(r) = -495*r**3 - 209*r**2 + 5*r - 9. Let b(q) = 496*q**3 + 211*q**2 - 4*q + 7. Let j(k) = 5*b(k) + 4*y(k). Find the third derivative of j(f) wrt f.
3000
Let a = -46 - -50. What is the third derivative of -8*h**2 - 3*h**a + 11*h**2 - 9*h**2 wrt h?
-72*h
Let p(h) = -150*h - 42. Let i(m) = -75*m - 22. Let z(o) = 5*i(o) - 2*p(o). Find the first derivative of z(q) wrt q.
-75
Suppose 5*k = -3*q + 139, 4*q = 9*q - 3*k - 243. Find the second derivative of q*b + 12*b**5 + 32*b - 102*b wrt b.
240*b**3
Find the second derivative of -442*b**5 - 471*b**5 + 817*b**5 - 397*b wrt b.
-1920*b**3
Find the first derivative of 4*j - 5*j**2 - 7*j + 78 + 0*j - 5*j**2 wrt j.
-20*j - 3
Let s(l) = -6*l**3 - 4*l**2 - 39*l + 15. Let y(p) = p**3 + p**2 + p + 1. Let k(v) = -s(v) - 4*y(v). Differentiate k(o) wrt o.
6*o**2 + 35
Let l(x) be the third derivative of x**7/210 + x**6/15 - x**4/6 - 19*x**3/6 - 64*x**2. What is the second derivative of l(j) wrt j?
12*j**2 + 48*j
Let l(d) be the second derivative of 2*d**4/3 + 29*d**3/6 - 363*d**2 - 206*d. What is the derivative of l(i) wrt i?
16*i + 29
Suppose 5*c = 0, 0 = 2*l - 8*c + 3*c - 70. Find the second derivative of l*f**3 + 3*f - 7*f + 5*f + 5*f wrt f.
210*f
Let n(g) be the second derivative of -46*g**5/5 - 23*g**3 - g - 12. What is the second derivative of n(s) wrt s?
-1104*s
Let y(m) be the second derivative of -25*m**6/2 - 20*m**4/3 - m**3/3 + 159*m. Find the third derivative of y(q) wrt q.
-9000*q
Suppose 6 = -y - 0. Let b(t) = 6*t - 7. Let i(g) = -13*g + 18. Let f(l) = l - 2. Let m(d) = 6*f(d) + i(d). Let a(k) = y*b(k) - 5*m(k). Differentiate a(c) wrt c.
-1
Let s(o) be the third derivative of 0*o**4 + 0 - 13*o**2 + 0*o + 0*o**3 - 7/60*o**5 - 1/120*o**6. Find the third derivative of s(f) wrt f.
-6
What is the second derivative of -19 + 218*x**3 - 182*x**3 - 4*x + 171 - 74 wrt x?
216*x
Suppose 3 = -h + 15. Suppose -4*d - h = -8*d. Find the second derivative of 3*z - 6 + 2*z**4 + 6 + d*z**4 wrt z.
60*z**2
Let q(h) be the third derivative of h**6/40 + h**5/20 + 4*h**4/3 - h**3/6 + 70*h**2. What is the second derivative of q(j) wrt j?
18*j + 6
Let b(x) be the second derivative of -509*x**5/20 - 80*x**3/3 + x + 176. What is the second derivative of b(l) wrt l?
-3054*l
What is the third derivative of 155*q**2 + 1183*q**4 - 118