2. Differentiate u(k) wrt k.
22*k
What is the second derivative of 198725*w**3 - 198725*w**3 + 18 - 371*w**4 - 2*w wrt w?
-4452*w**2
What is the first derivative of 946 - 959 - 2*a - 3*a**4 + 38*a**4 wrt a?
140*a**3 - 2
Let a(b) = -28*b**2 + 79*b + 6. Let y(s) = -s**2 - 3. Let k(j) = -a(j) - 2*y(j). What is the second derivative of k(x) wrt x?
60
Find the third derivative of 1418*r**6 + 1475*r**6 + 232*r**2 - 2498*r**6 wrt r.
47400*r**3
Let m(h) be the third derivative of 0*h**7 + 0 + 0*h**4 + 1/28*h**8 + 0*h**6 + 5*h**2 + 0*h + 7/30*h**5 + 0*h**3. What is the third derivative of m(z) wrt z?
720*z**2
Let d(b) be the second derivative of b**4/4 - 33*b**3 + b + 18. What is the second derivative of d(k) wrt k?
6
Let y(w) be the first derivative of 2*w**7/21 - 17*w**4/12 + 13*w + 16. Let p(g) be the first derivative of y(g). What is the third derivative of p(b) wrt b?
240*b**2
Let j be 2*6/(-48) - 18/(-8). Let b(f) be the second derivative of -j*f + 0 + 2/3*f**3 - 2/3*f**4 + 0*f**2. What is the second derivative of b(z) wrt z?
-16
Let k(t) = 245*t**2 + 173. Let s(q) = 4*q**2 + 2. Let i(o) = k(o) + 4*s(o). What is the first derivative of i(n) wrt n?
522*n
Let p(w) be the second derivative of -103*w**5/20 + 17*w**4/4 - w**3/6 - 5*w. What is the third derivative of p(b) wrt b?
-618
Let l(w) = -62*w - 106. Let g be ((-168)/70)/(-1*3/(-10)). Let m(s) = -41*s - 71. Let v(i) = g*m(i) + 5*l(i). What is the derivative of v(p) wrt p?
18
What is the derivative of 100 - 2 + 166 - 65 + 50*k**2 + 101 wrt k?
100*k
Let j(f) be the second derivative of -2*f**6/15 - f**5/20 + 19*f**4/3 - 5*f + 5. What is the third derivative of j(h) wrt h?
-96*h - 6
What is the third derivative of c**2 + 661*c**3 + 23*c - 22*c - 93*c**3 + 31*c**2 wrt c?
3408
Let s(v) be the third derivative of 19/120*v**6 + 0*v**3 + 0 + 0*v - 18*v**2 + 0*v**4 - 1/15*v**5. Find the third derivative of s(z) wrt z.
114
Find the second derivative of 30795*r**2 - 30795*r**2 - 304*r - 3*r**4 - 2*r**3 wrt r.
-36*r**2 - 12*r
Let t = 58 + -51. Let z(v) = 35*v**3 + 13. Let n(j) = 52*j**3 + 19. Let c(p) = t*z(p) - 5*n(p). Find the first derivative of c(h) wrt h.
-45*h**2
Let v(z) be the third derivative of 115*z**8/336 - 187*z**4/24 + 146*z**2. What is the second derivative of v(k) wrt k?
2300*k**3
Let d(j) be the third derivative of -5*j**6/4 + j**4/24 - 17*j**3/2 - 40*j**2 - 4*j. What is the second derivative of d(i) wrt i?
-900*i
What is the second derivative of -3*u - u - u + 81*u**2 + u - 39*u**2 + 3 wrt u?
84
Let a be 8/24*36/3. Let q = 6 - 4. Find the third derivative of 15 - 6*b**q + 4*b**2 - 15 + 5*b**a wrt b.
120*b
Let a be 0 + 1 + 4/1. Let w be 11 - a - (0 - -4). What is the first derivative of 6*s**w + 0*s**2 + 0 - 1 - 7*s**2 wrt s?
-2*s
Let t(p) be the first derivative of -12 + 0*p**4 + 0*p**5 + 7/6*p**6 + 0*p**3 + 6*p**2 + 0*p. What is the second derivative of t(v) wrt v?
140*v**3
Let y = -5 - -16. Find the second derivative of 0*u - 6*u**2 - y*u + 14*u**2 wrt u.
16
Suppose z - 4*y - 15 = 0, 71 = 3*z + 3*y - 2*y. What is the first derivative of 460*w - 14 - 460*w - z*w**4 wrt w?
-92*w**3
Suppose -5*x = 5*l - 14 - 46, 5*x - l - 48 = 0. Find the first derivative of 181*m**2 - x - 95*m**2 - 95*m**2 wrt m.
-18*m
Let d(b) = 2*b**2 - 4. Let j(p) = 246*p**2 + 22*p - 7. Let n(s) = 2*d(s) - j(s). Find the second derivative of n(m) wrt m.
-484
Differentiate 846 + 7853*w**3 - 88 + 1016*w**4 - 7853*w**3 wrt w.
4064*w**3
Let r(t) = t + 7. Let u be r(8). Let i be (1 + u)/(8 + -6). Find the first derivative of 12 + 2*h + 0*h - 2*h - i*h**2 wrt h.
-16*h
Let b(a) be the second derivative of 81*a**5/2 - 96*a**2 - 366*a. What is the first derivative of b(w) wrt w?
2430*w**2
Let o(m) = -10*m**4 - 4*m + 2. Let a(h) be the first derivative of h**2/2 + 7. Let n(w) = 4*a(w) + o(w). Differentiate n(f) wrt f.
-40*f**3
Let g(j) = -j**3 + j**2 - j - 1. Let p(x) = 8*x**3 + 9*x**2 - 4*x + 5. Let h(b) = -6*g(b) + p(b). Find the second derivative of h(f) wrt f.
84*f + 6
Let z(q) = -2*q**3 - 181*q**2 - 4*q - 402. Let u(s) = -2*s**3 - 182*s**2 - 5*s - 401. Let m(w) = 4*u(w) - 5*z(w). Differentiate m(a) wrt a.
6*a**2 + 354*a
Let b(c) be the first derivative of -7*c**5/60 + 5*c**3/3 + 4*c**2 - 2. Let m(w) be the second derivative of b(w). Differentiate m(j) with respect to j.
-14*j
Let v = 17 + -12. Suppose 0*c - 5*c + 5 = -5*o, -o - c + v = 0. What is the third derivative of 3*f**o - 3*f**2 + 5*f**2 - f**3 wrt f?
-6
Let j be 4*(-21)/(-6) - (2 + -4). What is the second derivative of 376*n**2 - 376*n**2 - n + j*n**4 wrt n?
192*n**2
Let o(a) = a**2 + a - 8. Let g be o(6). Suppose -g = -5*d - 9. Find the third derivative of -2*i**d + 18*i**2 - 2*i**5 - 16*i**2 wrt i.
-240*i**2
Let f(p) be the first derivative of 137*p**4/4 + 156*p + 34. What is the first derivative of f(u) wrt u?
411*u**2
Let v be -6*2/(-18)*2*9. What is the second derivative of -11*k - 4*k + 3*k - 59*k**5 + v*k**5 wrt k?
-940*k**3
Find the second derivative of 2461*u - 997*u - 736*u - 1044*u + 52*u**2 wrt u.
104
Suppose -3*s = -0*s + 102. Let n be s/(-10) - (-27)/45. What is the third derivative of -4 - o**6 - o**2 + 2*o**6 + n wrt o?
120*o**3
Let n be (-4 - -3) + 11 + -2. Suppose 3*d = n*d - 25. Find the second derivative of 57*t**4 + 4*t**d + 6*t - 57*t**4 wrt t.
80*t**3
Let s(i) = 2. Let x(y) = -202*y + 45. Let w(t) = 2*s(t) + x(t). Differentiate w(k) wrt k.
-202
Find the third derivative of -338*x**6 + 231*x**5 + 844*x**2 + 220*x**5 - 451*x**5 wrt x.
-40560*x**3
Let m(w) be the first derivative of -194*w**3/3 - w**2 - 58*w - 219. Find the second derivative of m(x) wrt x.
-388
Let g(x) be the first derivative of -29*x**6/6 + x**5/5 - 172*x**3/3 - 61. What is the third derivative of g(s) wrt s?
-1740*s**2 + 24*s
Let h(v) be the second derivative of 7/10*v**5 - 29*v + 0*v**4 + 0*v**2 + 0 - 19/3*v**3. Find the second derivative of h(y) wrt y.
84*y
Suppose 5*z - 14 = 61. Let m be z/(-3)*10/(-25). Find the third derivative of -4*j**6 - 2*j + 2*j - 2*j**m + 0*j wrt j.
-480*j**3
Let w(i) = -7*i - 19. Let f(n) = 2 + 7 - 2 - 6. Let u(o) = 5*f(o) + w(o). What is the first derivative of u(m) wrt m?
-7
Let i(r) be the first derivative of 34 - 15*r + 11/5*r**5 + 0*r**4 + 0*r**3 + 0*r**2. What is the derivative of i(a) wrt a?
44*a**3
Let p(u) = -u**2 - u + 2. Let o(v) = -102*v**3 - 4*v**2 - 17*v + 4. Let g(c) = o(c) - 3*p(c). Find the second derivative of g(h) wrt h.
-612*h - 2
What is the third derivative of 91*s**2 - 98*s**3 - 98*s**4 + 98*s**3 wrt s?
-2352*s
Find the third derivative of 21*s**6 - 54*s**2 - 22*s**6 - 230*s**6 - 157*s**2 wrt s.
-27720*s**3
Let n(q) be the third derivative of -20*q**2 + 0 - 19/24*q**4 + 0*q**6 - 1/7*q**7 + 0*q**3 + 0*q**5 + 0*q. What is the second derivative of n(c) wrt c?
-360*c**2
Let m = 39 - 36. What is the second derivative of -3 - 3*r + 3 + 3*r**m - r**3 wrt r?
12*r
Let f(n) be the second derivative of 473*n**6/30 + n**3/6 + n**2 - 4*n + 16. What is the second derivative of f(m) wrt m?
5676*m**2
Suppose s - 1050 = -3*s + 3*x, -s + 265 = -2*x. Find the first derivative of 125 - 2*h**2 - s + 115 wrt h.
-4*h
Let u = 3 - 1. Suppose 0 = x - u. What is the derivative of -4*h**2 + 3*h**2 - 25 + 17 + 6*h**x wrt h?
10*h
Let q = 80 - 76. What is the second derivative of q*c**2 + 2*c**2 - 13*c - 5*c wrt c?
12
What is the first derivative of 3911*y**4 - 3801*y**4 + 23 - 2*y**3 - 2*y**3 wrt y?
440*y**3 - 12*y**2
Let h(t) be the second derivative of -t**7/42 - 7*t**6/30 + 35*t**4/12 - 117*t. What is the third derivative of h(r) wrt r?
-60*r**2 - 168*r
Suppose 2*d = -q + 9, -5*q + 4*d = -88 - 13. What is the second derivative of -2*u**2 - 15*u + q*u**2 + u**2 wrt u?
32
Let b(n) = -4*n**2 + n - 2. Let u(f) = -212*f**2 + 2*f - 129. Let j(h) = -3*b(h) + u(h). Find the second derivative of j(k) wrt k.
-400
Let b(v) = -3*v**2 - 15*v + 190. Let d(k) = 4*k**2 + 15*k - 189. Let y(z) = -5*b(z) - 4*d(z). What is the derivative of y(q) wrt q?
-2*q + 15
Let p(f) be the third derivative of -f**8/112 - f**7/210 - 599*f**5/60 + 385*f**2. Find the third derivative of p(a) wrt a.
-180*a**2 - 24*a
Let z(x) = 184*x**3 + 7*x + 3. Let g(j) = -91*j**3 - 3*j - 1. Let q(c) = -7*g(c) - 3*z(c). What is the derivative of q(i) wrt i?
255*i**2
Let k(r) be the first derivative