- 13*d**2. Find the third derivative of g(j) wrt j.
-900*j**2
Let x(y) be the second derivative of 0*y**3 + 11*y**2 + 0 - 17*y + 1/6*y**4. Find the first derivative of x(q) wrt q.
4*q
Let a(n) be the first derivative of n**2/2 - 14*n + 6. Let y be a(16). What is the second derivative of 1 - 12*s - 1 + 7*s**y + 14*s wrt s?
14
Let s(m) = 9*m**4 + 3*m**3 + m + 81. Let h(o) = -o**4 - o**3 - o - 1. Let c(v) = 3*h(v) + s(v). What is the first derivative of c(q) wrt q?
24*q**3 - 2
Let s be 9/27*(-1 - -31). Let j be (-8)/(-5)*25/s. Find the second derivative of -53*c + 3*c**4 + c**j + 52*c wrt c.
48*c**2
Let b(x) = x + 3. Let w be b(1). Suppose 2*l = w*l - 8. What is the second derivative of 7*n - l*n**5 + 37*n**4 + n - 37*n**4 wrt n?
-80*n**3
Suppose 0 = v - 9 - 3. Let p = 14 - v. What is the third derivative of 6*u**4 + u**4 + 0*u**4 - 4*u**2 - p*u**2 wrt u?
168*u
Let t(b) be the third derivative of 7*b**6/120 + b**5/20 + 39*b**3/2 - 2*b**2 - 80*b. Differentiate t(a) with respect to a.
21*a**2 + 6*a
Let w be 1159/4 - 10/(-40). Suppose -4*v + 9*v - w = 0. Differentiate -v*i**2 + 5 - 8*i**4 + 58*i**2 with respect to i.
-32*i**3
Let l(b) = 273*b + 151. Let a(g) = -274*g - 156. Let o(f) = -6*a(f) - 5*l(f). Find the first derivative of o(h) wrt h.
279
What is the second derivative of -3*h**2 + 12*h**2 + 26*h**2 - 76 + 16 - 2*h wrt h?
70
Differentiate -842 - 3*z**2 + 83*z**2 - 24*z**2 - 4*z**4 - 32*z**2 wrt z.
-16*z**3 + 48*z
Let t(b) = b**2 + b - 26. Let m be t(-6). Let a be (11 + 1)*1/2. Find the second derivative of -v - v**m + 4*v - a*v wrt v.
-12*v**2
Let z(p) be the second derivative of p**7/21 + 3*p**6 - 35*p**4/3 - 61*p. Find the third derivative of z(c) wrt c.
120*c**2 + 2160*c
Let i(r) = -r**2 - 3*r - 6. Let w be i(-5). Let d = w + 16. What is the derivative of d*z - 7 + z + 2*z wrt z?
3
Let o(q) be the third derivative of -17/30*q**5 + 0 + 8/105*q**7 + 0*q + 0*q**4 + 0*q**3 + 0*q**6 + 4*q**2. What is the third derivative of o(f) wrt f?
384*f
Suppose -a + 3*a + 2*z = -48, -36 = 2*a + 5*z. Let g = a + 49. Find the third derivative of g*v**2 + 19*v**2 - 49*v**2 - 2*v**3 wrt v.
-12
Let m(o) = 255*o**3 - 132*o**2 - 5*o + 30. Let t(r) = -255*r**3 + 131*r**2 + 4*r - 24. Let z(y) = -4*m(y) - 5*t(y). Find the third derivative of z(p) wrt p.
1530
Let o(q) = 2*q**3 - 10*q**2 + 2*q. Let w be (2 - 3)*(5 + -4). Let j(u) = u. Let g(h) = w*o(h) + 2*j(h). Find the third derivative of g(a) wrt a.
-12
Suppose 56 = 6*u - 2*u. Let q = -12 + u. Find the first derivative of 1 - 6 + q + 4*b wrt b.
4
Let d(q) be the first derivative of -43*q**3/3 - 42*q - 62. Find the first derivative of d(w) wrt w.
-86*w
Suppose y - 4 = -5*i + 4*i, -4*i + 2*y = -4. What is the derivative of 6 + 3 + 19*m**2 - 14*m**i wrt m?
10*m
Let g = 46 + -31. Let k = g + -15. Find the second derivative of -h**2 + 9*h**2 + 0*h**2 + k*h**2 - 4*h wrt h.
16
Suppose -4*y = 3*h + 6, 0 = -2*y - 0*h + 5*h + 10. Find the third derivative of -x**2 - 5*x**2 + 8*x**5 + 9*x**2 + y*x**2 wrt x.
480*x**2
Let t(r) be the third derivative of 31*r**8/48 - 91*r**5/30 + 271*r**2. Find the third derivative of t(d) wrt d.
13020*d**2
Let k(x) = 424*x**3 - 51*x**2. Let w(r) = -1277*r**3 + 153*r**2. Let m(b) = -8*k(b) - 3*w(b). What is the third derivative of m(v) wrt v?
2634
Let g = -1 - 0. Let f be 1/((1/(-4))/g). Find the second derivative of 0*x**4 - 4*x + 2*x + x**f + x wrt x.
12*x**2
Let t(d) be the second derivative of 15*d**5/4 + 83*d**2/2 - d + 21. Differentiate t(a) wrt a.
225*a**2
Suppose 6 = 4*m - 24*h + 27*h, m + 8 = 4*h. Let i(j) be the second derivative of -5/6*j**4 + 0*j**3 + 7*j + 3*j**2 + m. What is the derivative of i(x) wrt x?
-20*x
Let p(r) be the first derivative of 5*r**6/2 + 2*r**3/3 + 79*r**2/2 + 99. Find the second derivative of p(q) wrt q.
300*q**3 + 4
Suppose 4*j + 1 = -15, -2*j - 16 = -s. Suppose 3*g - 7 = s. What is the second derivative of 14*w**3 + 2*w**3 - 6*w - w**3 - g*w**3 wrt w?
60*w
What is the second derivative of -109*r - 76974*r**5 - 52*r + 77171*r**5 wrt r?
3940*r**3
Let o = -25 - -30. Let p(r) = 10*r**3 - 7. Let f(c) = -c**3 + 1. Let n(t) = o*f(t) + p(t). Differentiate n(u) with respect to u.
15*u**2
Let c(n) be the third derivative of 371*n**6/60 + 119*n**5/15 - 38*n**2 - 7*n. Find the third derivative of c(w) wrt w.
4452
Let g(v) be the second derivative of -59*v**3/6 - 17*v**2 + 106*v. What is the derivative of g(s) wrt s?
-59
Let y(d) = -3*d**2 + d**3 + 2 - 6*d - d**3 - 4*d**2 - d**3. Let v be y(-6). Find the third derivative of 6*s**5 + 4*s**2 - 6*s**v - 7*s**2 + s**5 wrt s.
420*s**2
Let x(n) = 2*n - 7. Let w be x(6). Find the second derivative of -6*a + 385*a**4 + w*a**5 - 385*a**4 wrt a.
100*a**3
Let h(l) be the third derivative of l**7/28 - l**6/15 - 17*l**3/6 + l**2. Let i(z) be the first derivative of h(z). What is the third derivative of i(v) wrt v?
180
Suppose q - a - 9 = -2*q, 0 = -2*a + 6. What is the second derivative of -3*g + 8*g - 3*g - 14*g - 12*g**q wrt g?
-144*g**2
Let l(m) = -m**2 + 8*m + 213. Let z be l(-11). Let g(h) be the second derivative of -z*h + 0 - 11/6*h**3 + 2*h**2. Differentiate g(r) with respect to r.
-11
Let k(l) = l**2 - 5*l + 2. Let s be k(3). Let d(r) = -r**3 - 4*r**2 - 2*r - 5. Let a be d(s). What is the first derivative of -a*f + 7*f + 0*f + 5*f - 3 wrt f?
9
Let s be (-20)/(-25) - 115/(-600)*-2. Let o(g) be the second derivative of 0*g**3 - 5*g + 0 - s*g**4 - 2*g**2. What is the derivative of o(z) wrt z?
-10*z
Let d(v) = v**4 + 2*v**3 - v**2 - v - 2. Let g(u) = -3*u**4 - 12*u**3 + 6*u**2 + 17*u - 12. Let r(i) = 6*d(i) + g(i). What is the derivative of r(z) wrt z?
12*z**3 + 11
Let l(n) = n**2 - 5*n - 12. Let x be l(8). Let s(c) = -c - 1. Let g be s(-4). What is the second derivative of 3*b**g + 0*b**2 - 8*b + x*b + 0*b**2 wrt b?
18*b
Let s(q) = -45*q**3 + 17*q**2 + 6*q - 272. Let o(d) = 51*d**3 - 16*d**2 - 7*d + 274. Let a(c) = 6*o(c) + 7*s(c). What is the first derivative of a(w) wrt w?
-27*w**2 + 46*w
Let r be (-2)/3 + 24/9. Let j(t) be the first derivative of 0*t**5 - r*t**2 - t**2 - t**5 - 2. Find the second derivative of j(l) wrt l.
-60*l**2
Find the second derivative of -q + 55*q**4 - 37 - 199*q**4 - 127 + 3*q wrt q.
-1728*q**2
Let m(y) = 127*y**3 + 59*y**2 + 2*y - 4. Let d(a) = -507*a**3 - 237*a**2 - 9*a + 17. Let u(v) = 2*d(v) + 9*m(v). Find the third derivative of u(t) wrt t.
774
What is the third derivative of 225*o**3 - 27 - 2*o - 234*o**2 + 230*o**2 - 49*o**3 + 2*o wrt o?
1056
Let p(y) be the third derivative of -1/6*y**6 - 15*y**2 + 0*y**5 + 0*y**3 + 0 - 9/4*y**4 + 0*y. What is the second derivative of p(s) wrt s?
-120*s
Suppose -4*w + 9*w - 15 = 0. Differentiate 3 - 8*a**3 - 12*a**3 + 17*a**w wrt a.
-9*a**2
Let i(s) = s. Let t = -6 - -9. Suppose t = -11*j + 8*j. Let z(o) = 2*o**2 + 10*o - 6. Let w(g) = j*z(g) + 10*i(g). Differentiate w(u) with respect to u.
-4*u
Suppose 5*l = 5 - 60. Let w = -10 - l. What is the derivative of -2*y + y + w + 3*y + 3*y wrt y?
5
Let b(n) be the third derivative of 19*n**7/14 - 31*n**5/20 + n**3/3 + 4*n**2 + 16*n. Find the third derivative of b(t) wrt t.
6840*t
Let v(i) = 72*i**3 - 9*i**2 - 2*i - 5. Let p(c) = -72*c**3 + 9*c**2 + 3*c + 6. Let w(n) = 5*p(n) + 6*v(n). What is the third derivative of w(x) wrt x?
432
What is the derivative of 3708*r**2 - 169 - 24 - 3612*r**2 wrt r?
192*r
Suppose 3*w - 29 = 4. Find the third derivative of -6*q**5 + 10*q**5 - 9*q**2 - w*q**5 wrt q.
-420*q**2
Let b(x) be the third derivative of 33*x**5/10 + x**4/24 - 25*x**3/2 - 244*x**2. What is the first derivative of b(o) wrt o?
396*o + 1
Suppose -14*y + 4*y - 20 = 0. Let f(c) = c**5 + 16*c + 2. Let v(a) = -a**5 + 2*a - 1. Let x(m) = y*v(m) - f(m). What is the second derivative of x(g) wrt g?
20*g**3
Let s(p) be the third derivative of p**5/30 - 337*p**4/24 - 119*p**3/3 - 429*p**2. Differentiate s(f) wrt f.
4*f - 337
Let o(m) = -2*m - m**2 - 2*m**2 - 2*m**3 - 4*m**2 + 5*m**2 - 1. Let v be o(-1). Find the second derivative of l - 7*l**3 - 1 + v + 0*l**3 wrt l.
-42*l
Let k be ((-3)/9)/((-1)/42). Suppose 3*j + 8 = k. What is the derivative of j*l - 7 - 5*l - 3*l wrt l?
-6
Suppose -5*x + 4*t = -4, -5*x - 2*t = -x - 24. Find the second derivative of 5 - x*i + 4 + 5*i**2 + i - 6 wrt i.
10
Let l be (-560)/(-25) - 2/5. Let