 - 1. Let z(p) = s*h(p) - 4*w(p). What is the first derivative of z(x) wrt x?
-44*x
Let w(z) = 13*z - 2. Let k be w(2). Find the first derivative of i**2 - 7 - 14 + k wrt i.
2*i
Suppose b + 28 = -2*o, 4*o - 4*b = -9*b - 62. Let k = o - -15. What is the second derivative of -194*v**k + 194*v**2 - 4*v**4 - 9*v wrt v?
-48*v**2
What is the derivative of 8*u**4 - 25 - 111*u**3 - 11 + 112*u**3 wrt u?
32*u**3 + 3*u**2
Find the second derivative of -256*n + 18*n**2 - 216*n + 80*n + 241*n**2 wrt n.
518
Let q(i) be the third derivative of -73*i**8/168 + 9*i**5/4 + 135*i**2 - i. Find the third derivative of q(x) wrt x.
-8760*x**2
Let l(d) be the second derivative of -124*d**5/5 + 94*d**3/3 + d**2/2 + 12*d + 7. What is the second derivative of l(b) wrt b?
-2976*b
Let p(b) = -b**2 + 8*b - 6. Let g be p(6). Find the third derivative of -11*j**2 + 4*j**6 + 7*j**2 + 14*j**2 + 9*j**g wrt j.
1560*j**3
Let m(n) be the first derivative of -n**5/20 - 2*n**3 + 17*n**2/2 + 8. Let q(p) be the second derivative of m(p). What is the first derivative of q(t) wrt t?
-6*t
Let y(w) be the first derivative of 88*w**5/5 - 84*w + 52. What is the derivative of y(a) wrt a?
352*a**3
What is the second derivative of 35*o - 201*o**3 - 201*o**3 + 33*o**4 - 3*o**2 - 3 + 402*o**3 wrt o?
396*o**2 - 6
Let h(a) be the second derivative of -a**9/3024 - a**6/45 - 5*a**3/6 - 13*a. Let u(s) be the second derivative of h(s). Find the third derivative of u(x) wrt x.
-60*x**2
Suppose 3*o = 68 - 23. Suppose 4*k - 24 = v, -4*k + 9 + o = -2*v. What is the third derivative of -22*c**3 + c**2 + k*c**2 + 29*c**3 wrt c?
42
Suppose -6*s + 352 = -2*s. Find the first derivative of -33 + s + 9*p - 39 wrt p.
9
Let n(b) be the second derivative of -b**11/6160 - b**7/1260 - b**4 + 9*b. Let k(r) be the third derivative of n(r). What is the third derivative of k(u) wrt u?
-1080*u**3
Let q(u) = -36*u**2 + 9*u + 248. Let i(t) = 9*t**2 - 2*t - 62. Let f(k) = -9*i(k) - 2*q(k). Differentiate f(c) wrt c.
-18*c
Let o(x) = 9*x - 79. Let j be o(9). Let m(d) be the first derivative of 0*d + 7/3*d**3 - 1 - j*d**2. What is the second derivative of m(a) wrt a?
14
Let h(q) = 136 - 2*q**2 - 137 + 3*q**2. Let u(b) = -b + 2*b - 6*b**2 + 2 - 4. Let g(y) = -2*h(y) + u(y). What is the second derivative of g(d) wrt d?
-16
What is the second derivative of -2*j - 2*j**3 - 3*j**2 + 2*j**2 + 2*j**2 + 15*j**3 + 13*j**3 wrt j?
156*j + 2
What is the second derivative of 64*w - 827*w**4 - w**2 + 10*w**2 + 825*w**4 wrt w?
-24*w**2 + 18
What is the second derivative of 5 + 955*n**2 - 542*n**2 + 2 + 9*n wrt n?
826
What is the first derivative of 150 + 3*t**3 + 375*t**4 - 17 - 369*t**4 - t**3 wrt t?
24*t**3 + 6*t**2
Suppose -34*q + 31*q = -3759. Find the third derivative of 1260*d**5 + 49*d**2 + d**3 - 17*d**2 - q*d**5 wrt d.
420*d**2 + 6
Let n(v) = -v**2 + 5*v + 5. Let s be n(5). What is the second derivative of 3*b**5 - 14*b - 6*b**5 - 9*b**s wrt b?
-240*b**3
What is the second derivative of -92*k**2 - 118*k**4 - 53*k + 92*k**2 - 112*k wrt k?
-1416*k**2
Let q(u) = -244*u**2 - u + 244. Let y(x) = -487*x**2 - 3*x + 488. Let r(k) = -5*q(k) + 2*y(k). What is the second derivative of r(f) wrt f?
492
Suppose -5*c + 6*c = 2*u - 15, -5*u + 57 = 4*c. Suppose a - 13 = u. What is the first derivative of 7*v + 3*v - 31 + a wrt v?
10
Let m(o) = 2*o**2 + 7*o - 71. Let i be m(5). Let b(r) = -r - 1. Let u be b(-1). What is the third derivative of -i*d - 2*d**2 + u*d**2 - 12*d**6 + 14*d wrt d?
-1440*d**3
Let r(a) be the third derivative of 25*a**8/336 + a**6/20 - 203*a**5/60 - 479*a**2. Find the third derivative of r(h) wrt h.
1500*h**2 + 36
Let u = -10 + 9. Let y = u - -4. Differentiate 9 - z**3 - 3*z**y - 3 + 0 with respect to z.
-12*z**2
Suppose -m = 2*m. Suppose h - 2*p + 6 = m, 3*h - 7 = -0*h + p. Differentiate 0*x**2 + 2*x**2 + 11 + 3 - h with respect to x.
4*x
Let n(l) = -3 - 17*l - 26*l + 37*l - 5*l**2. Let w(r) = 11*r**2 + 11*r + 5. Let h(o) = 11*n(o) + 6*w(o). Differentiate h(u) wrt u.
22*u
Let s = -36 + 40. What is the third derivative of 7*o**2 + 22*o**s - 8*o**4 - 15*o**4 wrt o?
-24*o
Let l(d) = 2*d**2 + d - 10. Let s be l(-3). Find the second derivative of -128*t - 15*t**s + 77*t + 64*t wrt t.
-300*t**3
Let w(x) be the third derivative of x**7/105 + 19*x**6/60 + 5*x**4/24 + x**3/3 + 3*x**2 + 4*x. Find the second derivative of w(n) wrt n.
24*n**2 + 228*n
Let u(s) be the second derivative of s**5/2 - s**4/12 - 11*s**2/2 - 22*s. Let j(h) be the first derivative of u(h). What is the second derivative of j(o) wrt o?
60
Let d(c) be the third derivative of -173*c**5/30 - 63*c**4/8 + 18*c**2. Find the second derivative of d(f) wrt f.
-692
Differentiate 32*v - 69 - 4 - 26*v + 58*v wrt v.
64
Let q(s) be the first derivative of 6*s**5/5 + s**4/2 - s**2 - 3*s - 15. Let b(a) = -a**4 - a**3 + a. Let u(w) = -2*b(w) - q(w). Differentiate u(t) wrt t.
-16*t**3
Suppose -5*a + 16 = -g, 2*g + 4*a = -g + 28. Differentiate -10*h**g - 26 - 7 - 5*h**4 wrt h.
-60*h**3
Find the second derivative of -9*p - 575*p**3 + 4*p**2 - 2*p + 573*p**3 + 4 wrt p.
-12*p + 8
Let k(g) be the first derivative of 530*g**3/3 - 637*g**2/2 + 412. Find the second derivative of k(i) wrt i.
1060
Let r(b) be the first derivative of 31*b**5/5 + b**4/2 + 60*b**2 - 59. Find the second derivative of r(l) wrt l.
372*l**2 + 12*l
Suppose 4 = 3*h - 2, -2*t + 14 = 5*h. Find the third derivative of -a**2 + 35*a**3 - t*a**2 - 27*a**3 - 13*a**2 wrt a.
48
Suppose s - 4*l - 4 = 0, -2*s - 3*l = 2*s - 16. Find the third derivative of 26*k**2 - 10*k**4 - 22*k**2 - 3*k**s - 14*k**2 wrt k.
-312*k
Let s(z) = 141*z**2 + 249*z + 6. Let f(d) = -140*d**2 - 247*d - 5. Let o(g) = -6*f(g) - 5*s(g). What is the second derivative of o(b) wrt b?
270
Let s be (-3)/((-5)/(-2) - 3). Suppose 5*m = 5*v - v - s, -m = v - 6. What is the second derivative of m*z**4 + 12*z - 7*z**4 - 8*z wrt z?
-60*z**2
Let y(u) = -3900*u + 1534. Let g(v) = -130*v + 51. Let o(n) = -91*g(n) + 3*y(n). What is the first derivative of o(a) wrt a?
130
What is the second derivative of -12*u**2 - 3 + 17*u**2 - 9*u**2 - u wrt u?
-8
Let i(l) = -7*l**2 - 17*l + 434. Let h(y) = 16*y**2 + 16*y - 436. Let w(f) = -3*h(f) - 2*i(f). Find the first derivative of w(o) wrt o.
-68*o - 14
Let n(t) = -t**3 + 5*t**2 + 3*t - 3. Let h be n(5). Let q = 25 - h. What is the first derivative of -16 - q*g**4 + 5 + 19 wrt g?
-52*g**3
Let b(k) be the second derivative of 157*k**4/12 + 95*k**3/6 - 18*k - 2. What is the second derivative of b(t) wrt t?
314
Find the second derivative of 99*j**4 + 336*j**4 - 204*j**2 - 731*j + 204*j**2 wrt j.
5220*j**2
Let h(r) = -r**3 - 6*r**2 - 6*r - 1. Suppose -q = 3*q + 20. Let p be h(q). Find the third derivative of -2*x**2 - p*x**3 + 3*x**2 + 3*x**2 + 0*x**2 wrt x.
-24
Let a(k) be the third derivative of -k**8/70 + k**5/6 + 17*k**3/6 + 22*k**2. Let n(q) be the first derivative of a(q). Find the second derivative of n(w) wrt w.
-288*w**2
Let z(y) = 4*y**2 + 7*y. Let f(t) be the third derivative of -t**4/24 - 8*t**2. Let x(h) = 2*f(h) - z(h). What is the second derivative of x(d) wrt d?
-8
Let p be (15/(-25) - (-16)/10) + 2. What is the third derivative of 18*j - 6*j**3 + 2*j**2 - 10*j**p - 18*j wrt j?
-96
Let t(x) = -x + 20. Let y be t(6). What is the second derivative of -6 - y*i**5 + 5 + 1 + 10*i wrt i?
-280*i**3
Let f(z) be the first derivative of -z**7/7 + 22*z**4 + 7*z**3/3 - z**2/2 - 3. What is the third derivative of f(y) wrt y?
-120*y**3 + 528
Let i(n) = -n - 3. Let k be i(-6). Let a be 9 - (-5 + 0 + 9). What is the third derivative of -8*u**5 - u**5 + k*u**a + u**5 - 2*u**2 wrt u?
-300*u**2
Let b(d) = d**3 + 7*d**2 + 12*d + 258. Let w(g) = g**3 + 2*g**2 + 4*g + 86. Let x(h) = 2*b(h) - 7*w(h). Differentiate x(o) wrt o.
-15*o**2 - 4
Let h(n) be the second derivative of -n**6/30 - 17*n**5/4 + 53*n**3/6 + 3*n. What is the second derivative of h(p) wrt p?
-12*p**2 - 510*p
Let f(k) be the second derivative of 7*k**4/6 + 15*k**2/2 - 19*k. Let h(b) = -1. Let j(x) = -f(x) + 5*h(x). Differentiate j(p) wrt p.
-28*p
Let i(n) be the third derivative of 0*n - 11/60*n**5 + 0*n**6 + 0*n**4 + 0*n**3 + 0*n**7 + 0 + 15*n**2 + 1/84*n**8. Find the third derivative of i(b) wrt b.
240*b**2
Let d(r) be the third derivative of 151*r**5/15 + 109*r**4/8 + 2*