k**4. Differentiate f(s) wrt s.
2*s
Let l(k) be the third derivative of 0*k**5 + 25/6*k**3 + 0 + 0*k**4 - 17/210*k**7 - 101*k**2 + 0*k**6 + 0*k. What is the first derivative of l(s) wrt s?
-68*s**3
Let i(l) = -4*l**2 + 16*l + 69. Let v(o) = o**2. Suppose 5*q - 15 = 0, 2*q = 2*m - 3*q + 19. Let r(f) = m*v(f) - i(f). What is the derivative of r(p) wrt p?
4*p - 16
Let f(h) = -2*h**3 - 30*h**2 - 2*h - 28. Let c be f(-15). Find the third derivative of 15*x**5 + 5*x - 7*x**3 + c*x**2 + 10*x**3 - 8*x**2 - 19*x**5 wrt x.
-240*x**2 + 18
Let s(a) be the second derivative of -61*a**2 + 10*a**4 + 0*a**5 - 1/15*a**6 + 1 - 1/3*a**3 + 147*a. Find the second derivative of s(d) wrt d.
-24*d**2 + 240
Let n(s) be the first derivative of 3/5*s**5 + 0*s**4 + 9/2*s**2 - 208*s + 0*s**3 + 224. Differentiate n(k) wrt k.
12*k**3 + 9
Suppose t - 3*m - 15 = 0, -2*t + m + 3*m = -22. Let d = 48 + -34. What is the second derivative of 26*l + 7*l**3 + 3*l - 49*l + d*l**t wrt l?
126*l
What is the second derivative of -w**2 - 45*w + 25*w**3 - 2193 + w**2 + 2190 wrt w?
150*w
Let g(v) = v**3 - 3*v**2 + v - 1. Let x = 3 + 0. Let m be g(x). What is the third derivative of -69*t**3 - 25*t**6 + 69*t**3 - 11*t**m wrt t?
-3000*t**3
Find the second derivative of 263*u**5 + 93*u**4 - 481*u**5 + 201*u**5 - 4055*u wrt u.
-340*u**3 + 1116*u**2
Let g(u) = -1090*u**3 + 2*u**2 - 930*u. Let s(d) = -2181*d**3 + 5*d**2 - 1857*d. Let n(b) = -5*g(b) + 2*s(b). Find the second derivative of n(r) wrt r.
6528*r
Suppose 5*l = 5*y + 51 - 26, -y + 7 = 5*l. Suppose -2*i + 7*i - 10 = 0. What is the second derivative of -4*a + 34*a**l - 86*a**2 + 32*a**i wrt a?
-40
Suppose -3*u = 146 - 152. What is the second derivative of -72*q - 49*q**u - 17*q + 2 + 245*q**2 + 6*q + 23*q wrt q?
392
Let p(b) = 6*b**2 - 73*b + 16. Let d be p(12). What is the derivative of d*z - 4*z + 129*z**2 - 35 - 103*z**2 wrt z?
52*z
Let u(s) = 1259*s**3 - 5*s**2 + 12*s + 95. Let w(r) = 2518*r**3 - 11*r**2 + 30*r + 191. Let j(c) = -5*u(c) + 2*w(c). Find the third derivative of j(x) wrt x.
-7554
Let d(z) = -2973*z**2 - 29*z + 15. Let p(f) = -2972*f**2 - 29*f + 21. Let k(t) = 5*d(t) - 4*p(t). What is the second derivative of k(h) wrt h?
-5954
Let u(j) = 48*j**3 - 5*j**2 + 14*j + 3. Let b be u(13). Find the first derivative of -b*q + 104796*q + 126*q**2 - 164 wrt q.
252*q
Let a be 2/8 + -35*13/(-20). Let r(i) be the second derivative of 0 - 3/2*i**3 + a*i - 1/2*i**2. Find the first derivative of r(f) wrt f.
-9
Let t = 99 + -97. What is the third derivative of 3*b**3 - 28*b**2 + 8191*b**4 + 1 - 8233*b**4 - t*b**3 wrt b?
-1008*b + 6
Find the third derivative of 13009*f - 6526*f - 6644*f - 3942*f**5 + 969*f**5 - 2*f**2 wrt f.
-178380*f**2
Let s(n) = -n + 0*n + 47 - 2*n - 28. Let f be s(5). Differentiate -4 + 9 + 5 - 3*i**2 + f wrt i.
-6*i
Suppose 3*z = -3*b + 27, -4*z - 6 = -4*b + 6. What is the third derivative of 104*w**6 + 25*w**2 - 2 - 52*w**6 - 54*w**b + 4*w**5 wrt w?
-240*w**3 + 240*w**2
Suppose -5*v = 4*k - 2564, v - 26*k - 500 = -30*k. What is the third derivative of -198*d**2 + v*d**3 + 363*d**3 - 1016*d**3 wrt d?
-822
Let c(v) = 2*v**4 - v**3 - v**2. Let h(o) = 456*o**5 - 9*o**4 + 4*o**3 + 336*o**2. Let q(p) = 4*c(p) + h(p). What is the third derivative of q(i) wrt i?
27360*i**2 - 24*i
Let n = 146 - 144. Find the second derivative of -16*h**n + 36*h + 307 - 5*h**2 + 304 - 3*h**3 - 610 wrt h.
-18*h - 42
Let u(x) be the first derivative of 19 - 83/2*x**2 + x. Find the first derivative of u(b) wrt b.
-83
Suppose 3*h - 40 = -1. What is the first derivative of -16*q + 19*q**2 + 21*q**2 - 52*q**2 - 64 + h*q**2 wrt q?
2*q - 16
Differentiate -182 - 362 + 34*w**3 - 165*w**3 - 4*w wrt w.
-393*w**2 - 4
Let b = 2254 + -2254. Let y(x) be the first derivative of -16/3*x**3 - 8 + 4*x**2 + b*x. Find the second derivative of y(a) wrt a.
-32
What is the derivative of 1146466*p**2 + 738*p**4 - 3161 - 1146466*p**2 wrt p?
2952*p**3
Let c(n) be the third derivative of -271*n**6/20 + n**5/10 - 41*n**3/3 - 35*n**2 + 6*n. What is the third derivative of c(v) wrt v?
-9756
Let b = 231 + -228. What is the third derivative of 17*n**3 - 34*n**3 - 138*n**2 + 32*n**3 + 9*n**b wrt n?
144
What is the second derivative of 1 + 43*t**5 + 672*t - 49*t + 3*t**5 + 2*t**4 + 216*t wrt t?
920*t**3 + 24*t**2
Let p(s) be the second derivative of s**4/12 - 2697*s**3/2 + 509*s**2 + 1984*s. What is the derivative of p(d) wrt d?
2*d - 8091
Let m(r) = -2*r**2 - 1838*r - 2025. Let v(w) = -w**2 - 922*w - 1012. Let g(b) = 4*m(b) - 7*v(b). Differentiate g(p) with respect to p.
-2*p - 898
Suppose -27*a - 62 = 35*a. Let z(h) = h**3 - 2*h**2. Let u(m) = 297*m**3 + 10*m**2 + 27. Let y(v) = a*u(v) - 5*z(v). Find the first derivative of y(d) wrt d.
-906*d**2
Let c(m) be the third derivative of -m**9/504 - 2*m**7/35 - 7*m**6/120 + 117*m**5/4 + m**3/2 + 11*m**2 - m - 1. Find the third derivative of c(b) wrt b.
-120*b**3 - 288*b - 42
Let n(d) = -4*d**4 - 692*d**3 - 5*d**2 + 5*d + 1553. Let z(v) = v**4 + v**2 - v - 2. Let a(p) = -n(p) - 5*z(p). What is the first derivative of a(w) wrt w?
-4*w**3 + 2076*w**2
Let c(v) = -15*v**2 - 5*v - 84. Let g(o) = 85 + 15*o**2 - 13*o + 11*o + 7*o. Let r(b) = -6*c(b) - 5*g(b). Differentiate r(h) with respect to h.
30*h + 5
Let a be 126/(-21)*(-2)/4. Let g = -27 - -46. What is the second derivative of 1439*t**2 - 1439*t**2 - 10*t - g*t**a wrt t?
-114*t
Suppose 275 = z + 192. What is the second derivative of z*m + 20 - 8*m**3 + 3*m**3 - 20 + m**2 wrt m?
-30*m + 2
Let q(v) be the third derivative of 0*v**5 + 5/24*v**4 + 21*v**2 + 1/15*v**6 + 0*v + 145/6*v**3 + 0. What is the first derivative of q(z) wrt z?
24*z**2 + 5
Let h(n) be the second derivative of -10/3*n**4 - 1/2*n**3 + 0*n**2 + 0 + 195*n. Find the second derivative of h(p) wrt p.
-80
Let f be (-10)/25*(-10)/2. Suppose -34 = -2*s - 0*s. Find the third derivative of -f*p**2 + s*p**5 + 10*p**2 - 4*p**5 wrt p.
780*p**2
Suppose 2*p - 2*r - 3 = 3, 4*r = 3*p - 13. Let m(k) = -6*k - 3. Let o be m(p). What is the second derivative of -6*v + o*v**4 - 6*v**4 + 3*v - 14*v wrt v?
-36*v**2
Let s(k) = -k**3 + k**2 + 14*k - 8. Let a be s(4). What is the first derivative of -37*m**4 + 3*m**3 - 30 + a*m**3 + 61*m**4 wrt m?
96*m**3 + 9*m**2
Let v(s) = 64*s**5 + 8*s**4 + 10*s**3 + 81*s**2 + 11. Let j(i) = -2*i**5 + 2*i**4 - i**2 + 1. Let g(z) = 4*j(z) - v(z). Find the third derivative of g(h) wrt h.
-4320*h**2 - 60
Let w(q) = -4*q + 46. Let j be 10/(-55)*1 + (-246)/(-22). Let p be w(j). What is the second derivative of -7*x**2 + 37*x**p - 12*x**2 + 15*x wrt x?
36
Suppose 133 - 88 = 5*h. What is the first derivative of -19*c**2 + 12 + h*c + 20*c**2 - 9 wrt c?
2*c + 9
Suppose -b + 19 = b - c, -5*b + 47 = -3*c. Let l be -5*((-1)/b)/((-2)/(-8)). Find the second derivative of -4*j**2 - 8*j**2 + 2*j**2 - 9*j**l + 12*j wrt j.
-38
Let r(d) = -2*d**3 - 22*d**2 - 8*d. Let u be r(-11). Find the first derivative of -u - 42*g**2 - 34*g**2 - 14*g**2 + 4*g**2 wrt g.
-172*g
Let i(j) = -j**3 + 10*j**2 - 17*j - 2. Let p be i(7). Let s = p - 23. What is the second derivative of s*u + 10*u**4 - 10*u**4 - 6*u + 15*u**4 wrt u?
180*u**2
Differentiate -1158*y - 1047*y - 202 - 2284*y + 448 - 3951 wrt y.
-4489
What is the first derivative of 59*s**4 - 2*s - 3295035 + 2*s - 414*s**4 + 3296761 wrt s?
-1420*s**3
Find the third derivative of -303*v**2 + 6842 + 626*v**2 - 6842 + 471*v**2 - 9*v**5 + 136*v**3 wrt v.
-540*v**2 + 816
What is the second derivative of 101*z + 3*z**3 - 718*z**2 - 139*z**2 - 33*z**2 wrt z?
18*z - 1780
Suppose -28*u = -49*u + 42. Find the third derivative of -489*f**2 + 241*f**2 + 246*f**u - 5*f**5 + 44*f + 6*f**4 wrt f.
-300*f**2 + 144*f
Let w(l) = -1171*l**2 - 578*l + 3. Let t(x) = 2342*x**2 + 1158*x - 5. Let v(o) = 3*t(o) + 5*w(o). Find the second derivative of v(h) wrt h.
2342
Let w be 5*10/25*2. Let z be (-3 - 3)*(-1)/6*w. What is the second derivative of 5*p**5 + z*p**5 + 4*p + 40*p + 6*p**5 wrt p?
300*p**3
Let c(o) be the first derivative of 799*o**5/5 + 152*o**3/3 + 1255. Find the third derivative of c(a) wrt a.
19176*a
Suppose 9*w = 389 + 151. Let c = w + -60. What is the derivative of c*p**3 - 22 + p**3 - 2*p**3 wrt p?
-3*p**2
Suppose -6*p = -14*p - 416. Let h = p + 47. Let t(k) = k - 1. Let j(x) = 37*x - 10. Let y(o