53*f**3 - 4505*f**2. Find the second derivative of n(j) wrt j.
18984*j**2
Let k(i) = -i + 62. Let p(x) = -9590*x**2 - 5*x + 243. Let c(o) = -6*k(o) + p(o). Find the second derivative of c(a) wrt a.
-19180
Suppose 2*k = 3*k - 20. Let d = 29 - k. Find the second derivative of 9*m**3 + d*m + 4*m**3 - 13*m**3 - 14*m**4 wrt m.
-168*m**2
Let d(h) be the third derivative of -61*h**7/2 - 1137*h**4/4 - 6454*h**2. What is the second derivative of d(p) wrt p?
-76860*p**2
Let k = 361 - 357. Find the third derivative of 11*u**k - 23*u**5 - 13*u**4 + 265*u**2 - 227*u**2 wrt u.
-1380*u**2 - 48*u
What is the third derivative of -4161*q**5 - 11 + 506*q**5 - 15*q**2 - 4890*q**5 wrt q?
-512700*q**2
Let r(o) be the first derivative of -11/6*o**3 - 4*o + 5/2*o**2 + 10. Let v(u) be the first derivative of r(u). What is the first derivative of v(l) wrt l?
-11
Let v = 8996 + -8996. Let f(b) be the second derivative of 0 + 3/2*b**2 + 0*b**3 + v*b**4 + 1/10*b**5 + 10*b. What is the derivative of f(a) wrt a?
6*a**2
What is the third derivative of 28*g**3 + 320*g**4 - 320*g**4 - g**5 - 136*g**3 + 444*g**2 wrt g?
-60*g**2 - 648
Let f(k) be the second derivative of -k**6/30 + 1391*k**5/20 + 2881*k**3/6 + k - 1243. What is the second derivative of f(r) wrt r?
-12*r**2 + 8346*r
Let t(n) = -112*n + 4039. Let v(q) = 106*q - 4044. Let f(j) = -5*t(j) - 4*v(j). Differentiate f(p) with respect to p.
136
Let x be (48/(-20))/((-17)/170). Find the third derivative of -1 - 24*z**5 + 40*z**2 + 2 - x*z**2 wrt z.
-1440*z**2
Let r(g) = 1529*g**3 + 4*g**2 - 8*g + 568. Let o(k) = -k**2 + 2*k - 3. Let s(h) = -4*o(h) - r(h). What is the first derivative of s(q) wrt q?
-4587*q**2
Let i(m) = -1038*m + 49. Let s be i(-5). Find the second derivative of 5357*w - 11*w**2 - s*w + 38*w**2 wrt w.
54
Let j(p) = p. Let n(x) = -x**2 - 11*x + 41. Let v be n(3). Let s(a) = -a**2 + 19*a - 15. Let m(c) = v*s(c) + 4*j(c). Find the first derivative of m(g) wrt g.
2*g - 15
Let j(b) be the first derivative of -1576*b**5/5 - 8145*b**2/2 + 5187. What is the second derivative of j(p) wrt p?
-18912*p**2
Suppose 6*x = 4*x + 5*w + 49, 3*w - 85 = -4*x. Find the first derivative of x*q**4 - 57 - 50 + 57*q**4 + 50*q**4 - 87*q**4 wrt q.
168*q**3
Find the second derivative of 3*k**2 - 101*k**3 + 11335*k**4 + 4662*k + k**2 - 11333*k**4 wrt k.
24*k**2 - 606*k + 8
Differentiate 12*f**3 - 229 + 3*f**2 - 3456 - 161 + 0*f**3 - f**4 wrt f.
-4*f**3 + 36*f**2 + 6*f
Let z(q) = 471*q**2 + 4*q - 470*q**2 - 4*q + q. Let c be z(-2). What is the third derivative of -21*t**c + 0*t**2 + 49*t - 49*t + 12*t**3 wrt t?
72
Let h(o) be the third derivative of 485*o**8/112 - 667*o**5/15 - 965*o**2. What is the third derivative of h(q) wrt q?
87300*q**2
Let z(t) = -2*t + 63. Let h be z(30). What is the second derivative of -11*g**3 + 131*g - 1 - 118*g + 68*g**h wrt g?
342*g
Let o(x) be the first derivative of 0*x - 55 + 19*x**2 + 0*x**5 + 0*x**3 + 0*x**4 + 1/3*x**6. Find the second derivative of o(f) wrt f.
40*f**3
Let o(b) be the first derivative of b**6/6 + 37*b**4 - 496*b**3/3 + 205. Find the third derivative of o(q) wrt q.
60*q**2 + 888
Suppose -130*a + 879 = 359. Let r(j) be the third derivative of 34*j**2 + 0*j**a - 23/6*j**3 + 0*j + 0 + 7/10*j**5. What is the derivative of r(p) wrt p?
84*p
Find the second derivative of -273*u + 89*u + 950*u**4 - 12 + u**5 + 137*u wrt u.
20*u**3 + 11400*u**2
Let r be 3/(-2)*6/9. Let d(b) = -19*b. Let p be d(r). Find the second derivative of -10*k**4 + 19 - p - 8*k**4 + 30*k wrt k.
-216*k**2
Let h(x) = 7*x**2 + 3793*x - 8408. Let k(p) = -4*p**2 - 1895*p + 4190. Let c(r) = -3*h(r) - 5*k(r). Differentiate c(g) with respect to g.
-2*g - 1904
Let c(q) be the second derivative of 7643*q**5/20 - 2509*q**3/2 + 6625*q. Find the second derivative of c(z) wrt z.
45858*z
Let l(b) be the second derivative of b**8/56 + 5*b**7/14 + 3*b**5/10 - b**4/12 + 1072*b**3/3 - b**2/2 + 7*b - 23. What is the third derivative of l(r) wrt r?
120*r**3 + 900*r**2 + 36
Let j = -25633 - -25672. Let i(d) be the first derivative of 0*d**3 + 0*d**4 - 2/5*d**5 + 0*d + 10*d**2 + j. Find the second derivative of i(c) wrt c.
-24*c**2
Let z(j) be the second derivative of -j**6/30 - 9*j**5/4 - 7*j**4/6 + 2*j**3/3 + 2887*j. Find the third derivative of z(o) wrt o.
-24*o - 270
Suppose -2*h + 2*x = 0, 11*h + 4*x = 12*h + 6. Differentiate 33*d**h + 16003*d + 21 - 16003*d wrt d.
66*d
Let x(w) = -50*w**3 - w**2 - 1460*w. Let u(c) = 151*c**3 + 7*c**2 + 4378*c. Let j(d) = 2*u(d) + 7*x(d). What is the second derivative of j(q) wrt q?
-288*q + 14
Let o(h) = -97*h - 106. Suppose 2*p = s - 4, -3*p + 4*s + 7 = 3. Let r(z) = -192*z - 213. Let u(a) = p*r(a) + 7*o(a). What is the derivative of u(y) wrt y?
89
Let j(d) = -7202*d**3 - 27*d**2 - 311*d - 4. Let o(n) = -5*n**3 - 4*n**2. Let k(s) = j(s) - 7*o(s). What is the third derivative of k(t) wrt t?
-43002
Let t be -5*(-6 + 1 + 4). Suppose -136 = -5*q + 2*o, 6*q - o - 26 = t*q. Find the first derivative of 13*h**4 - 24*h**4 - 28*h**4 - q wrt h.
-156*h**3
Let h(q) be the first derivative of -q**4/4 + 437*q**3/3 + 537*q**2 + 2*q - 1332. Find the second derivative of h(w) wrt w.
-6*w + 874
Let g(i) = -i**3 + 14*i**2 - 25*i + 15. Let v be g(12). What is the derivative of -38*u**3 - 4*u**2 + 3*u**2 - 14*u**v + 932 - 972 - u**2 wrt u?
-156*u**2 - 4*u
Let u(w) be the second derivative of -2/3*w**4 + 0 + 36*w - 1/3*w**3 + 62*w**2. What is the derivative of u(p) wrt p?
-16*p - 2
Let o(v) = v**2 - 1. Let w(u) = -25*u**2 - 9*u + 3. Suppose 18*n - 11 - 61 = 0. Let l(j) = n*w(j) + 12*o(j). What is the second derivative of l(i) wrt i?
-176
Let y = -23905 - -23908. Let v(n) be the first derivative of -19/3*n**3 + 0*n**2 - y*n**4 + 24 + 0*n. What is the third derivative of v(f) wrt f?
-72
Let k(l) = -32073*l**3 + 45*l**2 - 15*l - 17843. Let m(j) = 4582*j**3 - 6*j**2 + 2*j + 2549. Let c(i) = 2*k(i) + 15*m(i). Differentiate c(s) with respect to s.
13752*s**2
Differentiate -8544*s - 3877 - 2147*s + 2202*s wrt s.
-8489
Let w(k) be the third derivative of 3335*k**9/504 - k**5/20 + 977*k**3/6 + 309*k**2 - 2. Find the third derivative of w(h) wrt h.
400200*h**3
Suppose 0 = -2*h - 0 + 4. Find the second derivative of 728*b**h - 1454*b**2 + 724*b**2 - 55*b - 3*b**3 wrt b.
-18*b - 4
Let b(r) = -122*r**3 + 93. Let q(s) = -121*s**3 + 92. Let v(z) = -z**2 - 4*z + 4. Let p be v(-3). Let l(f) = p*q(f) - 6*b(f). Differentiate l(a) wrt a.
-345*a**2
Let u(x) be the second derivative of 3*x**8/280 - 61*x**5/60 - 131*x**4/12 + 8*x - 1. Let w(q) be the third derivative of u(q). Differentiate w(y) wrt y.
216*y**2
Suppose -3*l - 8 = -4*d + 4, 3*d = l + 9. What is the derivative of -106*c**d + 63*c**3 + 44 + 66*c**3 wrt c?
69*c**2
Let n(v) = 161*v - 43. Let f(k) = -2*k - 1. Let w(x) = -312*x + 93. Let o(u) = 6*f(u) + w(u). Let g(y) = -5*n(y) - 3*o(y). Differentiate g(z) wrt z.
167
Let z(w) be the first derivative of w**4/4 + 3173*w**3/3 - 4035*w**2/2 + 6577. Find the second derivative of z(a) wrt a.
6*a + 6346
Let c(f) = -f**2 - 10*f - 18. Let v be c(-7). Find the third derivative of -1473*y**3 + 4*y**4 + 1444*y**v - 5*y**4 - 58*y**2 wrt y.
-24*y - 174
Let p(j) be the first derivative of 7*j**5/5 + 15*j**4/4 - 2487*j**2/2 - j + 4869. What is the second derivative of p(w) wrt w?
84*w**2 + 90*w
Let p be (3 + (1 - 3))*2. Let q = -41 + 65. What is the third derivative of -f + 3*f**5 + 35*f**p - q*f**5 + f wrt f?
-1260*f**2
Let x(s) be the first derivative of 0*s + 1/4*s**4 + 0*s**2 + 39*s**3 - 187 + 112/5*s**5. What is the third derivative of x(a) wrt a?
2688*a + 6
Let u = 34 - -51. Find the first derivative of -17*f**2 - u*f**2 + 25*f**2 - 27*f**2 + 137 wrt f.
-208*f
Suppose 493*j = 540*j. Let b(u) be the first derivative of 6*u**2 - 14/3*u**3 + 16 + j*u. What is the second derivative of b(t) wrt t?
-28
Suppose 16 - 1 = 4*o - 3*l, 0 = -o + 3*l + 6. What is the third derivative of 470*b**3 - 4*b**2 - 4*b**2 - 18*b**2 - 572*b**o wrt b?
-612
Let i(k) be the first derivative of 2*k**5/5 - 3*k**4/4 - 530*k**3 + k**2 - 2034*k - 2569. What is the second derivative of i(h) wrt h?
24*h**2 - 18*h - 3180
Let l be (-1)/2*0*((-25)/(-15) + -2). Let g(x) be the first derivative of -3/4*x**4 + l*x**3 + 0*x**2 + 14*x - 20. What is the first derivative of g(y) wrt y?
-