3498
Find the third derivative of -q**6 + 37*q**2 - 1886*q**5 + 12*q**4 + 7*q**6 + 1886*q**5 wrt q.
720*q**3 + 288*q
Let q be (6/1)/(-3) - 14. Let y = -20 - q. Let a(n) = -n**2 - n. Let w(k) = -k**2 + 4*k - 3. Let u(i) = y*a(i) - w(i). Find the first derivative of u(d) wrt d.
10*d
What is the third derivative of -63*r**2 - 101*r**2 - 61*r**5 - 12*r**5 + 528*r**3 - 1047*r**3 - r + 522*r**3 wrt r?
-4380*r**2 + 18
Let h(u) be the third derivative of 0*u**4 + 1/15*u**5 + 1/15*u**6 + 0*u**3 + 0 + 0*u - 9*u**2. What is the third derivative of h(i) wrt i?
48
Let c(l) = 1074*l**4 + 5*l**3 + 764*l - 10. Let f(u) = -537*u**4 - 3*u**3 - 382*u + 6. Let y(o) = 3*c(o) + 5*f(o). What is the second derivative of y(h) wrt h?
6444*h**2
Let u(z) be the third derivative of z**8/840 + z**5/60 - z**4/24 + 11*z**2. Let s(a) be the second derivative of u(a). Differentiate s(b) with respect to b.
24*b**2
Find the third derivative of 143*t - 47*t**2 + 17*t**2 + 22*t**2 - 941*t**5 + 7*t**2 wrt t.
-56460*t**2
Let c(q) be the first derivative of -11*q**3 - 1/2*q**4 - 7 + 0*q + 0*q**2. Find the third derivative of c(s) wrt s.
-12
Let o(x) = -4*x**2 - x**2 - 6 - x**3 - x + 5. Let u be o(-5). Differentiate -u - 3 + 0*c**2 + c**2 with respect to c.
2*c
Let d = -29 + 50. Let b be ((-6)/d)/(2/(-14)). Differentiate -2 + 0*s**3 - 6*s**3 + s**b - s**2 with respect to s.
-18*s**2
Let b(k) be the second derivative of 64*k**3/3 - 62*k**2 + 37*k. Find the first derivative of b(m) wrt m.
128
Suppose 5*m = m + 7*m. Let f(n) be the first derivative of -5 + m*n - n**2 - 6/5*n**5 + 0*n**4 + 0*n**3. What is the second derivative of f(b) wrt b?
-72*b**2
Let k(i) = i**4 - i**3 + i**2 + 1. Let w(q) = -3*q**4 + 2*q**3 - 9*q**2 - 5. Let j(p) = -10*k(p) - 2*w(p). What is the third derivative of j(z) wrt z?
-96*z + 36
Let c be (2 + -7 + 4)/((-2)/6). What is the second derivative of -89*d**c - 103*d**3 + 3*d + 211*d**3 wrt d?
114*d
Let n(v) be the second derivative of 25*v**6/6 + v**4/12 - 11*v**2 - 282*v. Find the third derivative of n(r) wrt r.
3000*r
Find the third derivative of -21*u**5 + 828*u**2 - 6501*u - 18*u**5 - 3*u**3 + 6501*u wrt u.
-2340*u**2 - 18
Let m(u) be the first derivative of -5*u**3/2 + 6*u**2 - 15*u + 32. Let g(w) be the first derivative of m(w). Differentiate g(a) wrt a.
-15
Let q(u) = -90*u**3 - 2*u**2 + 5. Let c(v) = -v**4 + 91*v**3 + 3*v**2 - 6. Let m(i) = -2*c(i) - 3*q(i). Differentiate m(b) with respect to b.
8*b**3 + 264*b**2
Let j(u) be the third derivative of u**7/105 + 7*u**6/40 + 5*u**5/4 + 91*u**2. Find the third derivative of j(v) wrt v.
48*v + 126
Find the third derivative of v**6 - 2*v**6 + 27776*v**2 - 117*v**3 - 28449*v**2 wrt v.
-120*v**3 - 702
Find the second derivative of -4*h**2 + 3*h**2 + 30*h - h**4 + h**2 - 166*h wrt h.
-12*h**2
Let d(o) = -69*o - 4 + 7*o**2 + 5*o**2 - 9 + 4. Let y(h) = -3*h**2 + 17*h + 2. Let p(n) = -2*d(n) - 9*y(n). What is the second derivative of p(v) wrt v?
6
Let x(c) be the second derivative of 8*c**4 + 25*c**3 - 77*c. What is the second derivative of x(l) wrt l?
192
Let h(s) = s - 6. Suppose -4*w + 40 = -0*a - 2*a, -26 = -2*w + 4*a. Let z be h(w). Find the third derivative of -55 + m**3 - 5*m**z + 55 + 6*m**2 wrt m.
-24
Let d(x) = -4*x**5 - 20*x**2 - 16*x + 150. Let u(w) = w**5 + 4*w**2 + 3*w - 30. Let z(o) = -2*d(o) - 11*u(o). What is the second derivative of z(p) wrt p?
-60*p**3 - 8
Find the third derivative of -18*u**3 + u**2 + 50*u**3 + 10*u**5 + 36*u**3 - 13*u**5 - 15 + 5*u**5 wrt u.
120*u**2 + 408
Let q(c) be the second derivative of -859*c**4/12 + 127*c**3/6 - c**2/2 - 19*c. What is the second derivative of q(v) wrt v?
-1718
Let q(d) be the first derivative of d**4/2 + 20*d**3/3 - 42*d + 70. What is the first derivative of q(y) wrt y?
6*y**2 + 40*y
Find the second derivative of -74*n**5 - 1110*n**2 - 15*n + 1110*n**2 - 91*n**5 wrt n.
-3300*n**3
What is the first derivative of -144*z + 731 - 6 + 91*z - 178*z wrt z?
-231
Let l(z) be the second derivative of 0*z**3 + 0*z**5 - 8/15*z**6 - 16*z + 0 + 0*z**4 + 6*z**2. What is the derivative of l(x) wrt x?
-64*x**3
Let k(z) be the second derivative of 3*z**6/10 + z**5/20 - 55*z**4/12 + z**2 - 40*z - 1. What is the third derivative of k(a) wrt a?
216*a + 6
Let b(k) be the first derivative of -15/2*k**4 - 19*k - 1/2*k**2 + 0*k**3 + 3. What is the second derivative of b(m) wrt m?
-180*m
Let f be -1 + -1 + 3 + 2. Let k(j) = j**3 - 1. Let x be k(1). Differentiate -1 + x*n**3 - 7 - 5*n**f + 6 with respect to n.
-15*n**2
Suppose -j + 12 = -5. Suppose j = 3*f + 5. What is the derivative of 3 + f*d - 5*d + 6 + 10*d wrt d?
9
Let z = 25 - 21. Suppose 5*g + z*q - 10 = 2*q, -3*g + 3*q = -6. Differentiate 6 - 1 + 4 + 2 + 2*y**g with respect to y.
4*y
Let r(v) = v**3 + 7*v**2 - 8*v + 4. Let m be r(-8). Differentiate 1 + 6*c**3 - m - 14*c**3 wrt c.
-24*c**2
What is the second derivative of -o**3 - 172*o + 11*o**5 + 2170*o**2 - 2170*o**2 wrt o?
220*o**3 - 6*o
Differentiate -70*u - 48 + 70*u - 42*u**4 wrt u.
-168*u**3
Let m = -316 + 316. Let z(p) be the first derivative of 0*p**2 + m*p**4 + 7 + 1/3*p**3 + 0*p - 7/5*p**5. Find the third derivative of z(d) wrt d.
-168*d
Let k(w) = 15*w**4 - 2*w - 10. Let d be (-16)/(-7) - 6/21. Let s(h) = h**4 - h - 1. Let x(a) = d*s(a) - k(a). What is the first derivative of x(i) wrt i?
-52*i**3
Let b(o) be the first derivative of 19*o**2/2 + 4*o + 70. What is the first derivative of b(y) wrt y?
19
Let i(d) be the first derivative of 3*d**5/5 + 8*d**3 - d**2/2 - 2*d - 398. What is the second derivative of i(r) wrt r?
36*r**2 + 48
Let f(p) be the second derivative of 137*p**4/2 - 977*p**3/6 + 106*p. What is the second derivative of f(n) wrt n?
1644
Let c(a) = 373*a**3 - 17*a**2 - 258*a - 17. Let q(x) = 62*x**3 - 3*x**2 - 43*x - 3. Let l(o) = -6*c(o) + 34*q(o). Find the second derivative of l(u) wrt u.
-780*u
Let b(r) be the first derivative of 7*r**4 - 2*r**3/3 - 57*r + 19. Differentiate b(u) wrt u.
84*u**2 - 4*u
Let q(w) be the third derivative of -5/12*w**4 - 3*w**2 + 1/60*w**5 + 0*w**3 + 0 + 0*w. What is the second derivative of q(d) wrt d?
2
Let v(j) = 11515*j**4 - 231*j**3 - 77*j + 2926. Let g(l) = 303*l**4 - 6*l**3 - 2*l + 77. Let p(c) = 154*g(c) - 4*v(c). Differentiate p(u) wrt u.
2408*u**3
Let s(g) be the first derivative of 4*g**3/3 + 17*g**2/2 - 312*g + 231. Differentiate s(z) with respect to z.
8*z + 17
What is the first derivative of 127 - 372 - 192*r**4 - 119 - 91*r**4 wrt r?
-1132*r**3
Let b(i) = 221*i**3 + 4*i**2 + 8*i + 74. Let j(o) = 441*o**3 + 7*o**2 + 14*o + 149. Let d(f) = 7*b(f) - 4*j(f). Differentiate d(p) with respect to p.
-651*p**2
Let t = -38 - -39. Let l(i) = 10*i**3 - 2*i + 1. Let j(k) = k**3 - k + 1. Let r(g) = t*j(g) - l(g). Find the second derivative of r(s) wrt s.
-54*s
What is the third derivative of 297*o**2 - 2*o**6 + 7*o**5 - 35*o**5 + 19*o**2 - 81*o**5 wrt o?
-240*o**3 - 6540*o**2
Let g(c) be the third derivative of 20*c**2 + 1/12*c**5 + 0 + 0*c + 13/24*c**4 + 0*c**3. Find the second derivative of g(b) wrt b.
10
Let g(d) = 212*d**3 + 60*d**2 - 10*d - 12. Let z(s) = s**3 + s**2 - 2*s - 2. Let k(j) = -g(j) + 5*z(j). Find the third derivative of k(y) wrt y.
-1242
Let g be 6 + -4 + 6/3. Let p(l) = -31*l**2 + 4*l + 39. Let x(v) = -1890*v**2 + 245*v + 2380. Let n(b) = g*x(b) - 245*p(b). Differentiate n(k) wrt k.
70*k
Let p(k) be the first derivative of k**7/70 + k**4/4 + 5*k**3/3 - 5. Let v(w) be the third derivative of p(w). Differentiate v(s) wrt s.
36*s**2
Let l(t) = -5*t + 8*t + 8*t + t**2 + 5 - 1. Let n be l(-11). What is the third derivative of -8*r**4 - r**2 + 2*r**n + 2*r**4 wrt r?
-96*r
Let o = 208 - 91. Find the first derivative of 228*z**2 - o*z**2 - 120*z**2 - 17 wrt z.
-18*z
Let x(g) = -101*g**3 - 6*g**2 - 82*g + 6. Let l(h) = 201*h**3 + 13*h**2 + 163*h - 13. Let r(j) = -6*l(j) - 13*x(j). What is the second derivative of r(i) wrt i?
642*i
Let x be (10 + -4)/((-9)/(-48)). Let b = x - 20. What is the second derivative of 7*v + 6*v**3 + v**2 - b*v**3 - v**2 wrt v?
-36*v
Suppose -5*x - 1 - 6 = 2*p, 5*x + 31 = 4*p. Find the first derivative of c**4 - 8 + 9*c**p - 6*c**4 wrt c.
16*c**3
Suppose -16*i + 21*i - 85 = 0. What is the second derivative of 51*o**2 - i*o**2 - 22*o**2 - 15*o**2 - 10*o wrt o?
-6
Suppose 0 = -5*t + 15,