53*q**2
Find the third derivative of 72*p**2 - 249*p**6 + 499*p**6 - 259*p**6 wrt p.
-1080*p**3
Let r(n) be the first derivative of -33*n**2/2 + 5*n - 24. What is the first derivative of r(c) wrt c?
-33
Let k(u) be the first derivative of 27/5*u**5 - 8 + 9*u**2 + 0*u**3 + 0*u + 0*u**4. Find the second derivative of k(y) wrt y.
324*y**2
Let q(t) = -t**2 - 1. Let r(l) = -5*l**2 - 16*l + 15. Let o(v) = 4*q(v) + r(v). Let i(g) be the first derivative of o(g). What is the derivative of i(z) wrt z?
-18
Let s be 1*(-2)/2*19. Let f = -16 - s. What is the third derivative of -6*x**2 - 11*x**f + 13*x**2 + 9*x**3 wrt x?
-12
Let o(k) = -1095*k**3 + 105*k**2 + 36. Let f(n) = 219*n**3 - 21*n**2 - 7. Let p(w) = 11*f(w) + 2*o(w). Find the third derivative of p(j) wrt j.
1314
Let o(b) be the third derivative of b**4/24 + b**3/6 + 4*b**2. Let m(n) = 26*n - 15. Let k(c) = -m(c) + 4*o(c). Differentiate k(w) wrt w.
-22
Let s(x) be the second derivative of 4*x + 0 + 1/3*x**4 + 0*x**3 + 8*x**2. What is the derivative of s(k) wrt k?
8*k
Let p = -71 - -73. What is the derivative of -2*l + 46 - p*l - 10*l**2 - 18 wrt l?
-20*l - 4
Let m(a) be the third derivative of a**6/5 + a**5/60 + a**4 + 135*a**2. Find the second derivative of m(j) wrt j.
144*j + 2
Let w(t) be the first derivative of -3*t**4/4 - 4*t**2 - 17*t + 3. Let q(s) be the first derivative of w(s). What is the first derivative of q(i) wrt i?
-18*i
Let p(k) = k**2 + 3. Let n be p(4). Differentiate -21*c**2 - n + 21*c**2 + 6*c**3 with respect to c.
18*c**2
Let f(m) = m**2 + 17*m + 18. Let c be f(-16). What is the second derivative of -c*a**5 + 4*a**5 - 8*a**5 - 11*a wrt a?
-120*a**3
Suppose d = 25 - 2. What is the second derivative of -5*z + 15*z - 41*z**4 + 16*z + d*z**4 wrt z?
-216*z**2
Let y(v) = -35*v**3 + 2*v**2 + 212*v. Let g(z) = -52*z**3 + 3*z**2 + 318*z. Let w(t) = 5*g(t) - 7*y(t). What is the second derivative of w(c) wrt c?
-90*c + 2
Let v(o) be the first derivative of -2*o**3/3 + 15*o**2 - 7*o + 45. What is the first derivative of v(y) wrt y?
-4*y + 30
Let f be 38/8 - 3/4. What is the second derivative of 0*g + f*g - 3*g**4 - 2*g + g wrt g?
-36*g**2
Let r(z) = z**3 - 2*z**2 + 17*z + 13. Let g be r(6). What is the third derivative of -137*q**2 + g*q**2 - 152*q**2 + 48*q**3 wrt q?
288
Find the first derivative of -n + 54*n**3 + 222*n**2 + 6*n + 118 - n - 222*n**2 wrt n.
162*n**2 + 4
What is the second derivative of d**3 + 4 - 24*d**2 - 9 + d + 2 wrt d?
6*d - 48
Find the first derivative of 10*m - 62 + 30*m**2 - 43*m + 18*m + 10*m - 11 wrt m.
60*m - 5
Find the second derivative of -104*k**3 - 1401*k**5 + 2795*k**5 + 3*k**2 - 272 + k - 3*k**2 - 1393*k**5 wrt k.
20*k**3 - 624*k
Let y(o) be the first derivative of 0*o**2 - 5*o + 0*o**3 + 19 + 24/5*o**5 + 0*o**4. Differentiate y(z) with respect to z.
96*z**3
Let l = -30 + 92/3. Let k(b) be the first derivative of 0*b**4 + 0*b - l*b**6 - 6 + 0*b**5 + 5/3*b**3 + 0*b**2. Find the third derivative of k(v) wrt v.
-240*v**2
Let m(z) be the third derivative of -29*z**8/112 - z**5/5 - z**3/3 - 2*z**2 + 2*z. Find the third derivative of m(o) wrt o.
-5220*o**2
Let y(z) = 31*z**3 - 3*z**2 + 127*z + 6. Let d(c) = 125*c**3 - 11*c**2 + 508*c + 22. Let q(v) = -6*d(v) + 22*y(v). Find the second derivative of q(s) wrt s.
-408*s
Let z be -1 + 1 - 3 - -12. Let q = 13 - z. Differentiate -6 + 0*t + 0*t - q*t with respect to t.
-4
What is the third derivative of -51*z**4 - 8*z**2 - 5*z - 88*z**6 - 19*z + 12*z**2 + 51*z**4 wrt z?
-10560*z**3
Find the second derivative of -503*m**4 - 41 + 12 - 2*m + 123*m**4 + 0*m wrt m.
-4560*m**2
Let p(k) = 640*k**2 + 11*k - 336. Let t(f) = -320*f**2 - 5*f + 169. Let b(x) = 3*p(x) + 7*t(x). What is the second derivative of b(j) wrt j?
-640
Let v(x) = -31*x**2 + 57*x - 903. Let y(u) = 15*u**2 - 26*u + 451. Let a(r) = -5*v(r) - 11*y(r). What is the first derivative of a(d) wrt d?
-20*d + 1
Let r(j) be the second derivative of 3/4*j**4 + 13*j + 0 + 0*j**2 - 7/10*j**5 + 0*j**3. Find the third derivative of r(i) wrt i.
-84
Suppose 2*d = -4*t + 194, -t + 7*d + 52 = 4*d. Find the third derivative of 3*r**2 - 25*r**4 + t*r**2 - 15*r**2 - 14*r**4 wrt r.
-936*r
Let i(x) = -41*x**3 - 3*x**2 - 52*x. Let s(c) = 14*c**3 + c**2 + 17*c. Let v(h) = 2*i(h) + 7*s(h). What is the third derivative of v(t) wrt t?
96
Let w(b) be the third derivative of -16*b**7/15 + 117*b**4/8 - 2*b**2 - 34. Find the second derivative of w(r) wrt r.
-2688*r**2
Let t(n) = 974*n**3 + 526*n + 22. Let o(w) = 195*w**3 + 105*w + 4. Let g(p) = -11*o(p) + 2*t(p). What is the second derivative of g(m) wrt m?
-1182*m
Let c(j) be the second derivative of 87*j**5/10 - 49*j**2/2 + 73*j. Differentiate c(i) wrt i.
522*i**2
What is the third derivative of 13*q**3 + 68*q**3 - 663 + 185*q**2 + 663 wrt q?
486
Suppose -4*m - 3*m = -42. Let c be 0/1*(-3)/(-6). Find the third derivative of f**6 - 2*f**6 + c*f**m - 2*f**2 wrt f.
-120*f**3
Let u = 653 + -366. What is the third derivative of 21*o**2 + u*o - 12*o**5 - 287*o wrt o?
-720*o**2
Suppose -3*v - 5*s - 23 = -98, v - 2*s - 36 = 0. Let r be (-22)/(-5) + (-12)/v. Find the third derivative of 5*f**2 + 3*f**2 + r*f**6 + f**2 wrt f.
480*f**3
Let a(g) = -g**2 + 24*g + 29. Let n be a(23). Find the first derivative of 17 + n*y - 17 - 2 wrt y.
52
Let u(s) = -s**2 - s - 3. Let m(f) = 172*f**2 - 4*f + 25. Let l(i) = m(i) - 4*u(i). Find the first derivative of l(n) wrt n.
352*n
Suppose -11 = -6*r + 1. What is the third derivative of 64*c**4 - 130*c**4 + c**r - 5 + 99*c**4 wrt c?
792*c
What is the first derivative of 49*j**3 - 44 - 22 + 8 wrt j?
147*j**2
Suppose -4*s + 25 = y + 7, 2*s = 8. Find the third derivative of 30*b**5 + 123*b**3 - 20*b**y - 123*b**3 wrt b.
1800*b**2
Let s = -17 + 47. Find the third derivative of -79*l**4 - 8*l**2 + 42*l**4 + s*l**4 wrt l.
-168*l
Let x(d) be the first derivative of -26/3*d**3 - 13/5*d**5 + 0*d**4 + 20 + 0*d + 0*d**2. What is the third derivative of x(p) wrt p?
-312*p
Find the second derivative of -175*a - 67*a - 16*a**4 + 15*a**4 - 1 + 171*a**2 wrt a.
-12*a**2 + 342
Let d = 167 + -163. Let b(l) be the second derivative of 0*l**2 + 0*l**3 - 1/10*l**6 + 0 + d*l - 1/12*l**4 + 0*l**5. Find the third derivative of b(u) wrt u.
-72*u
Let x(a) = -a**3 + 10*a**2 - 5*a + 17. Let t be x(9). What is the second derivative of t*g**5 + 11*g**2 - 11*g**2 + 26*g - 66*g**5 wrt g?
-260*g**3
Let r(c) = c + 18. Let x be r(8). What is the derivative of x*y**3 - 8*y**3 + 22 - 2 wrt y?
54*y**2
Let p(y) = -y**2 + 9*y - 16. Let d be p(5). Find the second derivative of -4*u + d*u + 28*u + 29*u**2 wrt u.
58
What is the first derivative of 10*x - 87 - 2*x + 14*x + 67*x wrt x?
89
Let g(j) be the second derivative of 7*j + 0*j**2 + 0*j**3 + 0*j**6 - 1/3*j**4 - 2/21*j**7 + 0*j**5 + 0. What is the third derivative of g(w) wrt w?
-240*w**2
Suppose 2*c - 8 = 5*b, -4*b - c = -2*b - 4. Let k be 6/(0 - (-2 + b)). What is the third derivative of 11*p**2 + 2*p**3 - 10*p**6 - 2*p**2 - 2*p**k wrt p?
-1200*p**3
Let j(z) be the first derivative of -225*z**4/2 + 107*z**3 + 414. What is the third derivative of j(l) wrt l?
-2700
Let o(s) = s + 3. Let x be o(0). What is the second derivative of -f**x + 9*f**3 - 4*f + 0*f wrt f?
48*f
Let t(o) = 23*o**4 - 2*o - 5. Let n = -22 + 27. Let u(g) = 24*g**4 - g - 5. Let j(q) = n*t(q) - 4*u(q). Find the second derivative of j(v) wrt v.
228*v**2
Let k = -9 - -16. Let j(o) = o**3 - 6*o**2 - 7*o + 6. Let t be j(k). What is the first derivative of -3*g + 5*g + 1 - t + 2*g wrt g?
4
Let a(l) = -10*l. Suppose -5*n = -c - 17, -5*n = 3*c - 10 + 1. Let u be a(c). What is the derivative of -2 - 23*k**2 - 2 + 3 + u*k**2 wrt k?
-6*k
Let o(m) be the third derivative of -2*m**7/315 - m**6/360 + 9*m**5/20 - 5*m**4/4 - 8*m**2. Let t(r) be the second derivative of o(r). Differentiate t(p) wrt p.
-32*p - 2
Let r = 31 + -21. Find the third derivative of -9*x**2 + r*x + 2*x**5 - 10*x - x**2 wrt x.
120*x**2
Let u(a) be the third derivative of 0*a**4 + 0*a - 5/3*a**3 + 0 + 3/5*a**5 + 36*a**2. Differentiate u(t) wrt t.
72*t
Let t(r) = 133*r - 57. Let o(p) = -133*p + 56. Let w(k) = -6*o(k) - 5*t(k). Differentiate w(a) with respect to a.
133
Let l(h) = -134*h**2 + h + 197. Let r(x) = 266*x**2 - 2*x - 395. Let c(i) = -7*l(i) - 4*r(i). Differentiate c(w