f.
59
Find the third derivative of -25*k**2 + 54*k - 160*k - 3*k**2 + 13*k**6 + 26*k**2 - 7*k**5 + 3*k**6 wrt k.
1920*k**3 - 420*k**2
Suppose -s - 352 = -354. What is the third derivative of -2*w**5 - 314*w**4 + 96*w**s + 314*w**4 - 18*w**3 wrt w?
-120*w**2 - 108
Differentiate -3197 + 12*v**2 + 11*v**2 - 64*v**4 + 27*v - 61*v - 4*v**2 + 32*v with respect to v.
-256*v**3 + 38*v - 2
Let w(f) = -10*f**4 + 8*f**3 + 120*f**2 + 18. Let h(q) = q**4 + q**3 - q**2 + 9. Let n(v) = -2*h(v) + w(v). Find the third derivative of n(j) wrt j.
-288*j + 36
Let g = 6757 - 6753. Let y(d) be the third derivative of 0*d - 22*d**2 + 1/5*d**5 + 0 + 0*d**g + 5*d**3. Find the first derivative of y(b) wrt b.
24*b
Let g(k) be the first derivative of 2*k**5/5 + 229*k**4/4 + 2*k**3/3 - 4578*k - 671. Differentiate g(f) with respect to f.
8*f**3 + 687*f**2 + 4*f
Find the third derivative of 481941*z**2 + 189*z**3 + 266*z**3 - 481113*z**2 wrt z.
2730
Let h(y) be the first derivative of 303*y**4/4 - 1807*y**3/3 - y**2/2 + 9358. Find the third derivative of h(b) wrt b.
1818
Let v(m) = m**4 + 2*m**2 + 2*m + 4. Let j(i) = -3136*i**4 - 4*i**2 - 4*i - 1714. Let a(g) = -2*j(g) - 4*v(g). What is the derivative of a(u) wrt u?
25072*u**3
Let p(h) be the first derivative of -5/3*h**3 + 0*h - 5/8*h**4 - 19 + 1/2*h**2. Let a(j) be the second derivative of p(j). Differentiate a(n) with respect to n.
-15
Find the second derivative of -40266 - 1608*c - 1034*c + 40266 - 444*c + 2*c**4 + c**3 + 77*c**2 wrt c.
24*c**2 + 6*c + 154
Let j(s) = 2*s**2 + 31*s - 178. Let a be j(-20). Differentiate -72*o**a + 34*o**4 + 111 - 18*o**2 - 32*o**4 wrt o.
8*o**3 - 180*o
Let i(b) = -4174*b - 2662. Let t(x) = -1390*x - 887. Let f(o) = -6*i(o) + 19*t(o). What is the first derivative of f(k) wrt k?
-1366
Let i(k) = 2100*k**4 - 10*k**3 - 10*k - 152. Let n(v) = -43*v**4 + v**3 + v. Let r(p) = -i(p) - 10*n(p). What is the first derivative of r(u) wrt u?
-6680*u**3
What is the third derivative of 5*m**4 - 2570*m**5 - 5*m**4 - 4689*m**5 - 818*m**5 + 7575*m**2 wrt m?
-484620*m**2
Let q(w) = 11473*w**2 - 17414*w + 5. Let c(i) = 5736*i**2 - 8708*i + 2. Let o(l) = -5*c(l) + 2*q(l). What is the second derivative of o(s) wrt s?
-11468
Let q(x) = x**3 + 14*x**2 + 11*x - 24. Let l be q(-13). Find the third derivative of 2*a**l + 13*a**5 - a**5 + 20*a + 25*a**5 + 11*a wrt a.
2220*a**2
Find the second derivative of -47242*g**5 + 54075*g**5 + 3779*g + 1474*g wrt g.
136660*g**3
Find the third derivative of 1702*z - 1702*z + 927*z**2 + z**5 - 725*z**4 wrt z.
60*z**2 - 17400*z
Let p be (3*(0 - 1))/(24/(-32)). Find the second derivative of -13*q + 63*q + 2*q**2 + 0*q**2 + q**2 + 3*q**p wrt q.
36*q**2 + 6
Let v(o) = 13326*o**2 + 63*o + 7514. Let p(t) = 13327*t**2 + 94*t + 7515. Let d(b) = 2*p(b) - 3*v(b). What is the second derivative of d(z) wrt z?
-26648
What is the first derivative of 0*r**4 + 569 + 3*r**4 - 311 + 727 - 94*r**3 wrt r?
12*r**3 - 282*r**2
Find the second derivative of 8104*z + 909*z**5 + 5654*z**5 - 222*z**5 - 416*z**5 wrt z.
118500*z**3
Let m(s) be the second derivative of s**6/15 - 343*s**5/10 - 117*s**3/2 - s**2 - 14*s + 18. What is the second derivative of m(d) wrt d?
24*d**2 - 4116*d
Let k(i) be the first derivative of -27*i - 90 + 3/2*i**2 - 42*i**3. What is the second derivative of k(s) wrt s?
-252
Let y(v) = 102*v - 48*v - 63*v + 3. Let r(a) = -18*a + 6. Suppose -2*u + 3*u = -13. Let s(n) = u*y(n) + 6*r(n). Differentiate s(c) wrt c.
9
Let h(d) be the second derivative of 14*d**5/5 - d**4/12 - 57*d**3/2 + 2*d + 415. What is the second derivative of h(g) wrt g?
336*g - 2
Let t(z) = 211*z - 170. Let a(y) be the second derivative of -141*y**3/2 + 170*y**2 - 175*y. Let p(j) = -4*a(j) - 9*t(j). Differentiate p(o) with respect to o.
-207
Let d(a) = -13*a - 78. Let g be d(-15). Differentiate 952*p**4 - 967*p**4 - 82 - 2*p - g with respect to p.
-60*p**3 - 2
Let p(s) = -s + 6. Let d = 10 + -6. Let f be p(d). Find the second derivative of -2*r + 4*r**f + 4 - 4 - r wrt r.
8
Let r(b) = -55139*b - 63579. Let c(v) = -11035*v - 12716. Let y(z) = 16*c(z) - 3*r(z). What is the first derivative of y(m) wrt m?
-11143
Let j be (-3 - 0/8) + 5. Differentiate -38*p**2 - 26*p**2 - 9 - 81 - 54*p**j wrt p.
-236*p
Let r be 4/(1/(-1)*-1). Let h be ((-2)/r)/((-3)/12). Find the third derivative of 27*p**5 - 13*p**2 - 6*p**2 + 7*p**5 + 4*p**h wrt p.
2040*p**2
Let r(z) be the first derivative of 1518*z**2 + 1940*z + 91. What is the first derivative of r(p) wrt p?
3036
Let k(r) = 922*r - 2351. Let n(p) = -p + 4. Let j(y) = k(y) - 6*n(y). Differentiate j(b) with respect to b.
928
Let b(q) = 3353*q - 5280. Let r(k) = -10045*k + 15840. Let j(a) = -7*b(a) - 2*r(a). Find the first derivative of j(f) wrt f.
-3381
Let t = 73 + 20. Suppose 0 = -21*x + 18*x + t. Find the third derivative of -17*c**6 - x*c**2 - 21*c**6 + 10*c**2 wrt c.
-4560*c**3
Let d(i) = -i**3 - i**2 + 2*i - 1. Let t = -241 - -240. Let j(b) = -b**2 + 4*b - 141. Let f(v) = t*j(v) + 2*d(v). What is the first derivative of f(u) wrt u?
-6*u**2 - 2*u
Suppose 71 = 2*n - q, -8 = -2*n - 2*q + 72. Suppose -n*m + 31*m + 150 = 0. Find the third derivative of -27*k - 28*k**2 - 38*k**5 - m*k + 52*k wrt k.
-2280*k**2
Let f(n) = 33*n - 26. Let r(y) = 3*y - 1. Suppose 23*a - 22*a = -3. Let j(x) = a*r(x) - 3*f(x). What is the derivative of j(o) wrt o?
-108
What is the third derivative of -63654*p**2 - 438*p**5 - 1631*p**5 + 63406*p**2 wrt p?
-124140*p**2
Let m(f) = f**2 - 14*f - 12. Let x be m(15). What is the second derivative of 28*a - 47*a**4 - 179*a**4 + 15*a**3 - 20*a**3 + 5*a**x wrt a?
-2712*a**2
Let s(m) be the third derivative of 865*m**4/24 - 2533*m**3/3 + 53*m**2 + 8*m + 2. What is the first derivative of s(k) wrt k?
865
Differentiate 221 + 1380*h**4 - 44*h**2 + 1560 + 44*h**2 wrt h.
5520*h**3
Suppose 5*b = -20, 2*k - 5*k = b - 68. Differentiate -95 + 19*w + 5*w - k*w - 99*w**3 wrt w.
-297*w**2
Let c(k) be the first derivative of 49*k**3/3 + 4*k**2 + 10*k - 29. Let j(p) = p**2 + 2. Let n(t) = -c(t) + 5*j(t). What is the second derivative of n(d) wrt d?
-88
Suppose 3*k = 5*g, -3*k + 34 - 7 = 4*g. What is the derivative of -19 + 2*c + 74 - 3*c + k*c**3 + 12*c wrt c?
15*c**2 + 11
Let w(u) be the first derivative of -59*u**3 + 7*u**2/2 + 4428*u - 6893. Differentiate w(z) wrt z.
-354*z + 7
Let g(i) be the third derivative of -157*i**4/24 + 512*i**3/3 - 1151*i**2. What is the first derivative of g(z) wrt z?
-157
Find the third derivative of 16*b**4 + 8*b**2 + 11*b**4 - 41*b**4 - 11*b**3 + 62*b + 11*b**4 - b**2 wrt b.
-72*b - 66
Find the first derivative of -81 - 1008*g**2 - 558 - 268 - 27*g**3 + 1013*g**2 wrt g.
-81*g**2 + 10*g
Let m = 35 + -33. What is the first derivative of 42 + 5 - d**4 - 2*d**4 + 26*d**m - 3 wrt d?
-12*d**3 + 52*d
Let c(n) be the third derivative of 427*n**5/30 + 1517*n**3/6 - 1306*n**2. What is the first derivative of c(q) wrt q?
1708*q
Let t be -4 + 4 + (0 - -2). Suppose -72 = -14*m + 8*m. What is the second derivative of -11*c**2 + 3*c + m*c + c + t*c**2 wrt c?
-18
What is the second derivative of -52764*c**5 + 49092*c**5 + 6 + 5 + 92*c wrt c?
-73440*c**3
Let s(r) = 749*r - 697. Let j(d) = -751*d + 702. Let h(k) = -6*j(k) - 5*s(k). What is the derivative of h(q) wrt q?
761
Let t(o) = 9*o + 16. Let i(v) = v. Suppose 0 = -0*q - 7*q - 539. Let p = q + 76. Let b(d) = p*t(d) + 2*i(d). Differentiate b(u) wrt u.
-7
Differentiate -3901*t**4 - 16*t - 50*t + 66*t - 83 with respect to t.
-15604*t**3
Let t(h) = -94*h**2 + h + 1533. Let f(u) = -2. Let j(c) = -2*f(c) + t(c). Differentiate j(v) wrt v.
-188*v + 1
Find the first derivative of -30*k**2 + 48*k**2 - 18*k**2 - 640*k**3 + 902 wrt k.
-1920*k**2
Let j(v) = -93*v**3 + 12*v**2 - 15. Let a = -443 + 449. Let q(f) = 278*f**3 - 34*f**2 + 46. Let y(h) = a*q(h) + 17*j(h). What is the derivative of y(w) wrt w?
261*w**2
What is the second derivative of -920*f**5 + 298*f - 2 - 4*f**4 - 2 - 140*f - 119*f wrt f?
-18400*f**3 - 48*f**2
Let m(h) be the second derivative of -41/6*h**4 + 43/20*h**5 + 0*h**3 + 14*h + 0*h**2 + 2. Find the third derivative of m(a) wrt a.
258
Let r be (1 + 7)*104/32. Let w = -17 + 43. What is the third derivative of -r*c**3 - 27*c**4 + w*c**3 + 35*c**2 wrt c?
-648*c
Let u(f) = -96*f**2 - 180*f + 4850. Let g