74*m
Let r(z) be the first derivative of -8*z + 1 + 3*z + 4*z**3 - 3*z**3 + 2*z**2. Let a(k) be the first derivative of r(k). What is the derivative of a(b) wrt b?
6
Find the third derivative of -202*d + 115*d**3 + 59*d**2 + 202*d - 1 wrt d.
690
Find the second derivative of 64*z**2 + 7*z - 17*z - 4 + 17*z wrt z.
128
Let y be 10 + ((2 - 2) + -5 - -2). Differentiate 17*r + 34 - 29*r + y*r with respect to r.
-5
Let z(m) be the second derivative of 0*m**5 + 0*m**7 + 0*m**2 + 2*m + 0*m**3 + 0 + 15/56*m**8 - 11/12*m**4 + 0*m**6. Find the third derivative of z(c) wrt c.
1800*c**3
Let d(k) = 3*k**4 - k**2 + 12. Let l(c) = -10*c**4 + 2*c**2 + c - 37. Let n(h) = 7*d(h) + 2*l(h). What is the second derivative of n(m) wrt m?
12*m**2 - 6
Let a be (-126)/(-28)*2/3. Find the second derivative of 5*u**a + u**3 - 16*u - 16*u**4 - 6*u**3 wrt u.
-192*u**2
Find the first derivative of 133*j - 260*j + j**2 - 48*j**3 - 4*j**2 + 127*j + 37 wrt j.
-144*j**2 - 6*j
Let f = -5 - -8. Suppose 7*a - f*a + 16 = 0, 2*a = 5*i - 18. Find the third derivative of -3*u**4 - 3*u**i + u**2 + u**4 + 0*u**2 wrt u.
-48*u
Let t(y) be the first derivative of 6*y**3 + 49*y - 60. What is the first derivative of t(j) wrt j?
36*j
Let f(r) = r**3 - r**2 + 1. Let g(u) = 196*u**3 + 187*u**2 + 5. Let m(w) = -5*f(w) + g(w). Find the third derivative of m(n) wrt n.
1146
Suppose 3*v + 9 = 15. What is the third derivative of -y**2 + 5*y**v - 10*y**5 - 6*y**2 - 3*y**2 wrt y?
-600*y**2
Let t be (-4)/(-1 + 3 - 4) - -19. What is the second derivative of -t*y + 643*y**4 - 2*y**3 + 2*y**3 - 634*y**4 wrt y?
108*y**2
Let g(p) = 2. Let j(i) be the first derivative of -13*i**3/3 - 6*i - 15. Let m(c) = -22*g(c) - 2*j(c). Differentiate m(t) wrt t.
52*t
Find the first derivative of -28*d**3 + 37 - 68 + 20*d - 58 + 29*d**3 wrt d.
3*d**2 + 20
Let a(p) = -320*p - 3 + 315*p - 2 - 1. Let s(o) = -5*o - 5. Let j = -7 + 1. Let u(t) = j*a(t) + 7*s(t). What is the derivative of u(y) wrt y?
-5
Let k(i) be the first derivative of 16 - 31/3*i**3 + 0*i + 37/2*i**2. What is the second derivative of k(m) wrt m?
-62
Let f(c) = -c - c**3 + 3 + 2 - c**2 - 7 + 3. Let q(i) = 5*i**2 - 18*i - 5. Let t(a) = -5*f(a) - q(a). What is the second derivative of t(l) wrt l?
30*l
Let r(a) = -357*a**2 - 89*a - 4. Let o(i) = 178*i**2 + 44*i + 2. Let m(h) = -5*o(h) - 2*r(h). What is the second derivative of m(b) wrt b?
-352
Let a be -1 + 4*(54/(-24) + 4). Let v(w) be the first derivative of 0*w**3 + w**2 + 0*w - 2/5*w**5 + 0*w**4 - a. What is the second derivative of v(c) wrt c?
-24*c**2
Find the third derivative of 18*q**3 + 7*q**2 - 14*q**3 + q**6 + 19*q**3 + 14 - 9*q**2 wrt q.
120*q**3 + 138
Let n = -30 - -38. Find the second derivative of -19*q**3 - 14*q + 8 + 4*q - n wrt q.
-114*q
Suppose 17*z - 23 + 6 = 0. What is the second derivative of -61*s + 26*s - z + 51*s**3 + 24*s wrt s?
306*s
Find the third derivative of -73 - 49*a**4 - 567*a**2 + 13*a**5 + 569*a**2 - 10*a**5 wrt a.
180*a**2 - 1176*a
Let t be 51/3*26/(1 + 1). Differentiate -t + 28*q**4 + 54 + 116 wrt q.
112*q**3
Let i(k) be the second derivative of k**7/21 + 39*k**5/10 - 2*k**4 + 116*k. Find the third derivative of i(d) wrt d.
120*d**2 + 468
Differentiate -44 + 4496*u**3 + 84*u**4 - 4496*u**3 with respect to u.
336*u**3
Let t(f) = -f**3 + 13*f**2 - 12*f - 6. Let q be t(12). Let r = q - -8. Differentiate -9 + 2*o**3 + r*o**3 + o**3 with respect to o.
15*o**2
Let t(w) = 2*w**2 + 3*w - 6. Let h be t(8). Find the second derivative of h*q - 134*q + 7*q**5 - 3*q**5 wrt q.
80*q**3
What is the third derivative of 5*c**2 - 4*c**2 + 2*c**5 + 3*c**2 - 212*c**3 - 11 - 5*c + 5*c wrt c?
120*c**2 - 1272
Let v(z) be the third derivative of 1/10*z**7 + 3/20*z**5 + 0*z**4 + 0*z + 0*z**6 + 0 + 2*z**2 + 0*z**3. What is the third derivative of v(t) wrt t?
504*t
Let q(d) = 290*d**4 - 144*d**2 + 6. Let o(j) = -289*j**4 + 146*j**2 - 4. Let b(l) = -3*o(l) - 2*q(l). What is the third derivative of b(r) wrt r?
6888*r
Let t(z) = z + 9. Let i be t(-7). Let l be ((-32)/(-48))/(i/12). What is the first derivative of h**4 + 1 - 10 + h**l wrt h?
8*h**3
Find the third derivative of -w**4 + 3 - 19*w**2 + 5 - 1 + 516*w**3 - 597*w**3 wrt w.
-24*w - 486
Let q(l) be the first derivative of 31*l**5/5 - 2*l**3/3 - 175*l + 119. Find the first derivative of q(h) wrt h.
124*h**3 - 4*h
Find the second derivative of -385 + 765 - 395 - 86*l**5 - l wrt l.
-1720*l**3
Find the third derivative of 16 - 25 + 94*m**3 - 13*m**2 - 9*m**2 + 11 wrt m.
564
Find the second derivative of -c + 174*c**2 + 9*c**3 - 7 + 68*c**3 - 174*c**2 wrt c.
462*c
Let l(m) be the second derivative of 0*m**3 + 0 + 18*m**2 + 3/2*m**5 + 0*m**4 - 23*m. Find the first derivative of l(a) wrt a.
90*a**2
Let h be 2 + ((-5352)/(-4) - -3). Find the third derivative of 1343*d**5 + 25*d**6 - h*d**5 + 2*d**2 wrt d.
3000*d**3
Let p(h) = 14*h**5 - 5*h**3 + 3*h**2 + 4*h - 48. Let q(o) = -o**5 - o**2 - o + 1. Let f(n) = -p(n) - 4*q(n). Find the third derivative of f(b) wrt b.
-600*b**2 + 30
Let d(s) be the first derivative of -58*s**4 + 23*s**3/3 + 3*s**2/2 + 137. What is the third derivative of d(p) wrt p?
-1392
Let g(d) = 258*d**3 - 10*d**2 + 5*d + 84. Let t(h) = -259*h**3 + 8*h**2 - 4*h - 85. Let c(a) = 4*g(a) + 5*t(a). What is the derivative of c(v) wrt v?
-789*v**2
Let z(s) = s**2 - 3*s - 25. Let j be z(-11). Find the second derivative of j*d**4 + 14*d**5 - 129*d**4 - 8*d wrt d.
280*d**3
What is the second derivative of -45*x**5 + 52 - 2*x - 56 - 33*x**5 wrt x?
-1560*x**3
Suppose 5 = -2*u - 15. Let t be 18/10 - 2/u. Find the second derivative of 57*b**2 - 57*b**t - 4*b - 6*b**4 wrt b.
-72*b**2
Let h(l) be the third derivative of 0*l - 2/15*l**5 + 0*l**4 + 0 + 23*l**2 - 13/6*l**3. Find the first derivative of h(x) wrt x.
-16*x
Let r(q) = q**2 - q. Let i = -30 - -42. Let w(v) = 2*v**2 + 22*v. Let t(c) = i*r(c) + w(c). Find the second derivative of t(l) wrt l.
28
Let c(k) be the third derivative of 47*k**6/60 - 7*k**5/12 - k**2 + 4*k. Find the third derivative of c(p) wrt p.
564
Let z(b) = 132*b**3 - 5*b**2 - 4*b + 17. Let j(h) = 65*h**3 - 2*h**2 - 2*h + 8. Let n(o) = -5*j(o) + 2*z(o). What is the second derivative of n(l) wrt l?
-366*l
Suppose 7*y = 4*y + 9. What is the second derivative of 86*h + 27*h**2 - y*h**2 - 83*h - 5 wrt h?
48
Let x(n) = -388*n**3 + 2*n**2 - 37*n + 3. Let k(j) = -777*j**3 + 4*j**2 - 77*j + 7. Let t(b) = -3*k(b) + 7*x(b). What is the third derivative of t(m) wrt m?
-2310
Suppose 0 = -y - j + 2214, 3*j - 7*j = 2*y - 4424. Find the third derivative of 19*v**6 + y*v**5 - 2216*v**5 - 14*v**2 wrt v.
2280*v**3
Let i(j) = -116*j**3 - 149*j**2 + 2*j + 2. Let m(u) = -117*u**3 - 149*u**2 + 3*u + 3. Let o(c) = -3*i(c) + 2*m(c). Find the third derivative of o(t) wrt t.
684
Let q(f) = -115*f - 305. Let s(w) = -8*w + 1. Let p(n) = -q(n) - 3*s(n). What is the derivative of p(k) wrt k?
139
Let y(p) = -20*p + 40. Let j(l) = 4*l - 8. Let f(u) = 14*j(u) + 3*y(u). Let t(h) = -2 - 8 + 8*h - 7. Let x(g) = 5*f(g) + 2*t(g). Differentiate x(a) wrt a.
-4
Let n(p) = p**2 - 7*p - 7. Let r be n(8). Let i be 138/36 + r/6. What is the first derivative of -1 - 1 - 13*z**4 + 19*z**i wrt z?
24*z**3
Let m(t) be the first derivative of -t**3 + 0*t**4 - 11/5*t**5 + 0*t**2 + 12 + 0*t. Find the third derivative of m(v) wrt v.
-264*v
Suppose 0 = -5*z + 6 + 4. Find the third derivative of y**2 + 12*y**3 - 7*y**2 + z*y**2 wrt y.
72
Let u(a) = -3*a - 2. Suppose -2*h = 5 - 3. Let o be u(h). Find the second derivative of c**4 - 3*c - o + 1 - c wrt c.
12*c**2
Let s(b) = -15*b**3 + 357*b**2 + 7*b - 7. Let n(k) = 5*k**3 - 118*k**2 - 2*k + 2. Let j(t) = 14*n(t) + 4*s(t). Find the third derivative of j(x) wrt x.
60
Let m(j) be the third derivative of j**8/168 + j**7/7 - 13*j**4/8 - j**3/3 + 49*j**2. Find the second derivative of m(u) wrt u.
40*u**3 + 360*u**2
Let l be (-2 + 0)*3*(-1)/3. Find the third derivative of 12*k**l - 2*k**2 + 550*k**5 - 545*k**5 wrt k.
300*k**2
Let i(o) = -o - 6. Let a be i(-9). Suppose -10 = -5*u + 2*l, -a*u - 5*l = u + 25. Find the second derivative of 7*n**2 + u*n**2 - 4*n**2 + 2*n**2 - 8*n wrt n.
10
Let g(a) = 17*a**3 + 2*a**2 - 7*a + 131. Let i(d) = -d**3 + d**2 - 2*d + 1. Let p(r) = -g(r) + 2*i(r). What is the first derivative of p(o) wrt o?
-57*o**2 + 3
Find