- l. What is the second derivative of 4*p**3 + 3*p - 11*p**3 + i*p wrt p?
-42*p
Let q(d) = -2*d**2 + 1. Let s be (-198)/(-189)*7*(1 - -2). Let a(w) = -w**3 + 10*w**2 - 17. Let p(f) = s*q(f) + 2*a(f). Differentiate p(c) wrt c.
-6*c**2 - 48*c
Let u = -4489 + 4492. Let i(t) be the first derivative of 0*t**u + 0*t + 10*t**2 - 17/4*t**4 + 15. What is the second derivative of i(j) wrt j?
-102*j
Let y(a) = 1420*a**3 + 50*a**2 - 10*a - 1173. Let w(o) = 947*o**3 + 35*o**2 - 7*o - 783. Let v(m) = -10*w(m) + 7*y(m). Differentiate v(n) wrt n.
1410*n**2
Let a(k) be the second derivative of 53*k**7/42 - k**6/3 - 589*k**4/3 - 275*k. What is the third derivative of a(l) wrt l?
3180*l**2 - 240*l
Let l(u) = -10343*u - 11065. Let w(i) = -3442*i - 3688. Let t(n) = -5*l(n) + 14*w(n). What is the first derivative of t(f) wrt f?
3527
Let w(z) be the third derivative of 67*z**6/60 - z**5/20 - 1241*z**3/6 - 3995*z**2. What is the derivative of w(q) wrt q?
402*q**2 - 6*q
Find the third derivative of -239*o**4 - 4924*o**4 - 9941*o**2 + 18273*o**2 wrt o.
-123912*o
Let i(k) = 10367*k**2 + 3606*k - 38. Let g(c) = 2073*c**2 + 722*c - 7. Let t(a) = 11*g(a) - 2*i(a). Find the second derivative of t(u) wrt u.
4138
Let k(l) = -904*l**2 - 29*l - 11396. Let a(r) = 226*r**2 + 8*r + 2849. Let b(w) = 15*a(w) + 4*k(w). Differentiate b(j) wrt j.
-452*j + 4
Let p(k) = k - 9. Let z be p(11). Find the second derivative of -878*n**3 - n + 1756*n**3 - 11 + 15*n**z - 877*n**3 wrt n.
6*n + 30
Let w(g) = -g**3 - 17*g**2 - 29*g + 26. Let l be w(-15). Find the third derivative of 4*a**2 - 4*a**2 + 21 - 113*a**6 - l*a**6 + 2*a**2 wrt a.
-14880*a**3
Let s(h) be the third derivative of 947*h**8/112 + 197*h**4/6 - 8*h**2 + 71*h. Find the second derivative of s(m) wrt m.
56820*m**3
Differentiate 1266*g**2 + 76*g + 546 + 578 + 867 - 76*g with respect to g.
2532*g
Let v(h) be the second derivative of h**6/30 - 283*h**5/5 + h**3/6 - 2881*h**2/2 - 2*h + 631. What is the second derivative of v(i) wrt i?
12*i**2 - 6792*i
Let f(i) = 758*i**3 + 10*i**2 + 242. Let s(x) = -6063*x**3 - 85*x**2 - 1935. Let z(t) = -17*f(t) - 2*s(t). What is the derivative of z(b) wrt b?
-2280*b**2
Let q(x) be the third derivative of -1/6*x**3 + 0*x + 37/24*x**4 - 4 - 13/120*x**6 + 1/30*x**5 + 2*x**2. Find the second derivative of q(r) wrt r.
-78*r + 4
Suppose 5 + 9 = 5*x + 2*g, 3*x + 2 = 4*g. Find the second derivative of -17 - 74*a**x - 2*a + 6*a**2 + 31 - 8 wrt a.
-136
Let y(g) = -3360*g + 1947. Let n(v) = 3359*v - 1947. Let h(f) = -4*n(f) - 3*y(f). Differentiate h(q) wrt q.
-3356
Let x(t) = -t**3 + 8*t**2 + 6*t - 5. Let o be x(8). Suppose 45*r - 20 = o*r. Find the second derivative of r*l**4 - 2*l**4 - 3*l + 0*l**4 wrt l.
96*l**2
Suppose -2*h - 5*d = -19, -15 = -4*h + 3*d + 10. Let f be (-1 - 1) + -1 - -7. What is the derivative of -5 - f - h*n - 3 + 1 wrt n?
-7
Let k(c) be the second derivative of -169*c**6/15 + c**4/2 - 7027*c**3/6 + 42*c - 5. Find the second derivative of k(w) wrt w.
-4056*w**2 + 12
Let n(t) be the second derivative of 53/2*t**2 + 0*t**4 + 0 + 0*t**3 - 103*t + 19/10*t**5. Differentiate n(y) wrt y.
114*y**2
Find the third derivative of -659*y**3 - 34*y - 202*y + 72*y - y**2 - 125*y wrt y.
-3954
Differentiate 447*m - 2564*m - 5269 - 2191*m + 660*m + 10542 wrt m.
-3648
Let z(j) be the third derivative of 71*j**4/3 + 1073*j**3/2 - 1126*j**2 - 5. Differentiate z(v) wrt v.
568
Let z(m) = 325*m + 1652. Let u(q) = -963*q - 4955. Let l(r) = 2*u(r) + 7*z(r). Differentiate l(w) wrt w.
349
Let z(w) = 6*w - 24. Let l be z(4). Suppose 10*m - 62 + 2 = l. What is the second derivative of -2 - 2*f**2 - 19*f + m - 4 wrt f?
-4
What is the second derivative of -167*n**2 - 746*n - 745*n + 843*n**2 + 143*n**2 + 326*n wrt n?
1638
Let m(o) be the first derivative of -113*o**7 + 2*o**5/5 - 3*o**3 - 3*o**2 - 2226. Find the third derivative of m(u) wrt u.
-94920*u**3 + 48*u
Let y(x) = -7*x**2 - 899*x + 880. Let w(m) = -m**2 - 9*m - 2. Let n(c) = -6*w(c) + y(c). Differentiate n(t) with respect to t.
-2*t - 845
Suppose -5*c + 15 = -5*y, -4*c + 12 = -7*y + 2*y. Find the second derivative of -195*z + 418*z**c - 395*z**3 + 24*z wrt z.
138*z
Let b(a) = a**2 - 5*a + 5. Let n(g) = 1339*g**2 - 990*g + 5. Let y(v) = b(v) - n(v). What is the second derivative of y(q) wrt q?
-2676
Let m(a) be the first derivative of 2971*a**2/2 + 9709*a + 9562. Differentiate m(r) wrt r.
2971
Let c(v) = -210*v**2 - 7*v + 1883. Let y(r) = r**2 + 3*r. Let x(n) = c(n) + y(n). Differentiate x(u) wrt u.
-418*u - 4
Let z(p) = 776*p**3 - 2*p**2 + 775. Let u(d) = -1553*d**3 + 3*d**2 - 1550. Let r(b) = -3*u(b) - 5*z(b). Find the third derivative of r(i) wrt i.
4674
Let t(p) = -128*p - 5. Let u be t(-2). Let z = u + -124. Differentiate 47 + 47 - z - 50*i wrt i.
-50
Let w = -6266 - -6270. Let t(y) be the third derivative of 0*y**5 + 0*y**w - 19/3*y**3 - 17/60*y**6 + 0*y + 38*y**2 + 0. Differentiate t(l) wrt l.
-102*l**2
Suppose 5*a + 26 = g - 2, -22 = -4*g + 2*a. Find the second derivative of 8*d**5 + g*d**5 - 12*d + 988 - 988 wrt d.
220*d**3
Differentiate 2472*m - m**4 - 107*m**2 - 4519 + 0*m**4 - 2475*m + 104*m**2 wrt m.
-4*m**3 - 6*m - 3
Let u(p) = -28*p - 82. Let o be u(-3). Differentiate -128*k - 75*k - o*k + 24 + 25*k wrt k.
-180
Suppose 3*n + 4*o - 40 = -n, -o + 22 = 2*n. Find the second derivative of -211*a**2 - 4 + 109*a**2 + 14 + n*a wrt a.
-204
Let q(s) be the third derivative of -19*s**2 + 73/210*s**7 + 0*s**6 + 0*s**5 + 0*s + 0 + 13/8*s**4 + 0*s**3. Find the second derivative of q(d) wrt d.
876*d**2
Let v(w) be the third derivative of 37*w**6/120 + 13*w**5/60 + w**4/24 + 121*w**3/6 - 968*w**2. What is the second derivative of v(g) wrt g?
222*g + 26
Let m(o) be the first derivative of 343*o**4 - 1372*o**3/3 + 1174. What is the third derivative of m(k) wrt k?
8232
Suppose -5*v = 9*t - 5*t - 56, -v - 5*t = -7. Find the second derivative of 2*p**2 + v*p + 2*p**2 - p**3 - p**2 + 13*p**3 wrt p.
72*p + 6
Let q(c) = -18*c**2 - 3. Let l be q(-4). Let x be -4*1/1 - l/3. Differentiate 8*z**3 + 4 - 93*z**2 + 25*z**3 + x*z**2 wrt z.
99*z**2
Suppose -15*u + 12 = -11*u. Find the second derivative of -50*p + 58*p**u + 80*p - p**2 + p**2 wrt p.
348*p
Let z(j) be the first derivative of -j**7/42 - j**4/6 + 17*j**3/6 + 7*j**2/2 - 64. Let o(v) be the second derivative of z(v). Differentiate o(a) wrt a.
-20*a**3 - 4
What is the derivative of -116*b**2 - 443*b**2 - 85 - 438*b**2 wrt b?
-1994*b
Let z(d) be the second derivative of -214*d**7/3 - d**4/12 + 59*d**2/2 - 141*d + 1. Find the third derivative of z(f) wrt f.
-179760*f**2
Let a(z) be the second derivative of -z**4 + 0 - 4/3*z**3 - 18*z**2 + 150*z. What is the derivative of a(x) wrt x?
-24*x - 8
Let j = 256 + -251. Find the second derivative of -44*l**j + 25 - 12 - 3 + 4*l - 4 wrt l.
-880*l**3
Suppose 2*l = -5*o + 1 - 46, 3*o = 9. Let z be -1 - (2/(-8) + l/8). Find the second derivative of 12*a**3 + 9*a**3 - 29*a - 21*a**z - 24*a**5 wrt a.
-480*a**3
Find the second derivative of 226*o**4 - 30*o**4 + 5*o**3 - o**5 - 5*o**4 - 13*o**3 - 12670*o + 7*o**3 wrt o.
-20*o**3 + 2292*o**2 - 6*o
What is the third derivative of 489*q**5 + 105*q**5 + 424*q + 548*q**5 - 206*q**5 - q**2 + 243*q**5 wrt q?
70740*q**2
Let x be 51/12 - (95/(-20) + 4). Find the second derivative of 2*w**x - 63*w - w**4 + 28*w - 36*w**4 - 48*w wrt w.
40*w**3 - 444*w**2
Let p = 233 + -203. What is the second derivative of 8*f - 25 + 40 - p*f**3 + 2*f**4 - 2*f wrt f?
24*f**2 - 180*f
Suppose -108*r + 598*r = 19*r + 1413. Let d(s) be the first derivative of 5/3*s**r - 7 - 13*s**2 + 0*s. What is the second derivative of d(x) wrt x?
10
Let j = 327 - 319. Find the second derivative of 2*n - 151*n**2 - 3*n - 3*n + 0*n + j*n wrt n.
-302
Let n(s) = 6*s**4 - s**3 - s**2 - s. Let y(u) = -19*u**4 + 16*u**3 + 2*u**2 + 4*u + 843. Let k(b) = 4*n(b) + y(b). What is the third derivative of k(f) wrt f?
120*f + 72
What is the third derivative of -2535*f**5 + 4910*f**5 - 91*f**2 - 1409*f**2 - 10466*f**5 wrt f?
-485460*f**2
Suppose 0*w + 30 = 2*w - 5*a, 5*a + 20 = 0. What is the second derivative of 168 + 7*r - 176 + 89*r**w - 11*r wrt r?
1780*r**3
What is the third derivative of 498*g**5 - 1003*g**5 - 3093*g**2 + 206*g**2 + 2343*g**6 + 505*g**5 wrt g?
281160*g**3
Suppose 9 - 69 =