he second derivative of -5*y**3 - 28 - 8*y**3 - 8*y**3 - y wrt y.
-126*y
Suppose -63*c + 12 = -61*c. Find the second derivative of 14*v**3 + 4*v - c*v**3 + 14*v wrt v.
48*v
What is the third derivative of 20*j**5 - 67*j**5 - 2*j + 2*j - 47*j**2 - j**4 wrt j?
-2820*j**2 - 24*j
Let y(h) = -h**3 - 5*h**2 + 7*h. Let v be y(-6). Let u be (-5)/(-2) - v/(-12). What is the second derivative of -x + 4*x**4 - u*x**4 + 4*x**4 wrt x?
72*x**2
Let r = 8 + -12. Let c(b) = -b**2 - 3*b + 5. Let t be c(r). What is the first derivative of 1 + 8*k + 2*k - 3*k + t wrt k?
7
Let q(p) be the second derivative of p**8/240 - p**5/8 - 5*p**3 - 16*p. Let r(l) be the second derivative of q(l). What is the second derivative of r(h) wrt h?
84*h**2
Let p(n) be the first derivative of -n**2 + 58 - 56 + 5*n**3 - 13*n**3 - 5*n**2. What is the second derivative of p(t) wrt t?
-48
Suppose -3*g + 4*g - 29 = 0. Let v(b) = 3*b**2 - 1. Let r be v(-1). Find the first derivative of 29*l - g*l - 7*l**r - 7 wrt l.
-14*l
Let a(n) be the first derivative of -190*n**3/3 + 8*n**2 - 302. Find the second derivative of a(v) wrt v.
-380
Let g be -4 + (5422 + 0 + -3 - -4). What is the derivative of g*v**3 + 29 - 5419*v**3 + 13*v**4 wrt v?
52*v**3
Let p = 109/309 - 2/103. Let o(x) be the first derivative of -7*x + 0*x**2 + p*x**3 + 2. What is the derivative of o(z) wrt z?
2*z
Let p(x) = x. Let q(n) = 52*n + 109. Let z(c) = 35*c + 73. Let j(w) = 5*q(w) - 8*z(w). Let a(v) = j(v) - 3*p(v). Differentiate a(k) with respect to k.
-23
Let r(v) = -7*v**4 + 6*v**3 + 5*v**2 - 2*v + 8. Let b(j) = -j**4 + j**3 + j**2 + 1. Let m(p) = -5*b(p) + r(p). Find the second derivative of m(u) wrt u.
-24*u**2 + 6*u
Let t(g) be the first derivative of 4/3*g**6 + 0*g**3 + 13 + 0*g**5 + 5/2*g**2 + 0*g**4 + 0*g. What is the second derivative of t(a) wrt a?
160*a**3
Let v(t) be the second derivative of 3*t**8/28 - 7*t**6/30 - t**4/6 + 5*t**3/6 - 15*t. Find the third derivative of v(j) wrt j.
720*j**3 - 168*j
Let f(a) = 12*a**6 + 7*a**3 - 7*a**2 - 18*a + 6. Let o(z) = z**6 + z**3 - z**2 + z + 1. Let j(n) = f(n) - 6*o(n). What is the third derivative of j(k) wrt k?
720*k**3 + 6
Let r = 119 - 114. Differentiate 46 - 7*q - 12*q**2 + 12*q - r*q with respect to q.
-24*q
Let l(d) be the first derivative of 164*d**5/5 + 135*d - 59. Differentiate l(v) with respect to v.
656*v**3
Let m(s) = s**2 + s - 12. Let x be m(-4). Suppose -4*z + 13 - 1 = 0. Find the second derivative of u + u**z + 0*u + x*u**3 wrt u.
6*u
What is the third derivative of -46 + 4*x**4 + 5*x**6 + 4*x**2 + 98 - 44 wrt x?
600*x**3 + 96*x
Let q(u) be the third derivative of -9/20*u**5 - 19/105*u**7 + 0 + 0*u**3 + 0*u**6 + 0*u**4 - 5*u**2 + 0*u. What is the third derivative of q(i) wrt i?
-912*i
Let j(x) = 48*x**3 - 17*x**2 + 5. Let d(m) = 193*m**3 - 69*m**2 + 22. Let h(t) = -6*d(t) + 26*j(t). Find the third derivative of h(g) wrt g.
540
Let z(f) be the third derivative of f**8/20160 - f**6/45 - f**5/30 - 6*f**2. Let y(j) be the third derivative of z(j). Differentiate y(k) with respect to k.
2*k
Let x(i) = -52*i**2 - 17*i - 6. Suppose -7*f - 5*f = -84. Let w(a) = -53*a**2 - 17*a - 7. Let c(m) = f*x(m) - 6*w(m). Find the second derivative of c(h) wrt h.
-92
Suppose -9 - 5 = -7*a. What is the second derivative of p + 11*p + 12*p**3 + p + a*p wrt p?
72*p
Suppose 2*j = -4 + 12. Suppose -j*d + 1 + 19 = 0. Find the second derivative of -16*c - 2*c**d + c**5 + 3*c wrt c.
-20*c**3
Differentiate 27*r + 51 + 40*r + 55 with respect to r.
67
Suppose 3*r + r - 20 = 0. Find the second derivative of -339*l**r - 2*l + 330*l**5 + 11*l wrt l.
-180*l**3
Differentiate 9*j + 213*j - 44*j - 46 with respect to j.
178
What is the derivative of -151 - 479 - 473*x**3 - 357*x**3 wrt x?
-2490*x**2
Suppose 0 = 2*f - 22 + 18. Find the third derivative of -72*k**6 + 55*k**6 + 8*k**f + 51*k**6 wrt k.
4080*k**3
Suppose -h = -6*h + 105. Find the third derivative of -7*w - h*w**6 + 12*w + 17*w**2 - 5*w wrt w.
-2520*w**3
Let h(x) be the third derivative of 5*x**8/28 + x**5/20 - 13*x**4/12 + 67*x**2. What is the third derivative of h(d) wrt d?
3600*d**2
Suppose -6*q + 40 = 2*q. Differentiate -q - 1 + 13 + 1 + 10*n with respect to n.
10
Let v(i) = 876*i**2 - 13*i + 1329. Let j(u) = -438*u**2 + 5*u - 665. Let o(l) = -5*j(l) - 2*v(l). Find the first derivative of o(w) wrt w.
876*w + 1
Let r = -2080 + 2085. Let z(h) be the second derivative of 0 + 0*h**2 + h + 11/6*h**3 + 0*h**4 + 0*h**r + 7/15*h**6. Find the second derivative of z(t) wrt t.
168*t**2
Let i(w) = -1. Let z(f) = 11*f**2 - 5. Let x = 34 + -26. Suppose -x*b + 3*b - 5 = 0. Let c(m) = b*z(m) - 2*i(m). What is the derivative of c(k) wrt k?
-22*k
Let h = 9 + -12. Let y = h - -5. What is the third derivative of y*o**2 + 0*o**4 - 5*o**4 + 3*o**2 wrt o?
-120*o
Suppose 3*m - 20 = -2. Let a = 3 + m. What is the second derivative of 30*g**2 - g - a*g**5 - 30*g**2 wrt g?
-180*g**3
Let a be -4 - (-2*16)/4. What is the third derivative of a*c**2 + 9*c**5 + 20*c**2 - 7*c**5 wrt c?
120*c**2
Let o be 3/(-4 - (-76)/16). Suppose 0 = -3*s - w + 38, 2*w + 54 = o*s - 0*w. What is the derivative of -17*i + s*i + 4 - 1 wrt i?
-4
Let c(w) = -w**2 + 3*w + 1. Let y be c(2). Suppose -y = 3*z - 9. What is the third derivative of j**z + j - 4*j**4 - 2*j + j wrt j?
-96*j
Let o = 8 + -4. Suppose -o = -3*u + u. What is the third derivative of -6*q**u + 3*q**2 + q**5 - 3*q**5 wrt q?
-120*q**2
Find the third derivative of 2*g**4 - 24*g**2 + 115*g**3 + 66*g**2 - 9*g**2 - 7*g**2 + 69*g**2 wrt g.
48*g + 690
Let l(z) be the first derivative of -99*z**2/2 - 118*z + 45. What is the first derivative of l(r) wrt r?
-99
Suppose -5*a + 28 = 2*d, 0*d + 42 = 3*d - 2*a. What is the first derivative of 20 - d*b**2 - b**2 - 4*b**2 wrt b?
-38*b
Let l be (3/(-9))/((-1)/(-3)). Let c(o) = -2*o - 9 - 7*o**3 + 12 + 1. Let y(q) = q**3 - 1. Let p(u) = l*c(u) - 4*y(u). Find the second derivative of p(g) wrt g.
18*g
Let g(p) be the second derivative of -7*p**4/8 - 11*p**3/6 + 11*p**2 - 19*p. Let b(y) be the first derivative of g(y). What is the derivative of b(x) wrt x?
-21
Let b(o) be the third derivative of -21*o**2 + 0*o**3 + 0*o**4 + 0*o**6 + 7/30*o**5 + 0*o + 17/105*o**7 + 0. Find the third derivative of b(q) wrt q.
816*q
Suppose -2*p - 2*w = 2*w - 50, 5*p + 2*w - 125 = 0. Find the second derivative of -9*u**2 - 6*u**2 + 6*u**2 + p*u - 21*u wrt u.
-18
Let f(v) be the first derivative of 4*v**5 + 18*v**3 + 1. What is the third derivative of f(a) wrt a?
480*a
Let j(v) be the second derivative of -2*v**7/7 + 25*v**3/6 + v + 17. What is the second derivative of j(c) wrt c?
-240*c**3
Find the first derivative of -167*u + 65 + 86*u - 16*u**3 + 80*u wrt u.
-48*u**2 - 1
Let l be -8*(1 + 10/(-12))*-3. Let i(k) be the first derivative of -1/2*k**l + 0*k + 0*k**3 + 5 + 9/2*k**2. Find the second derivative of i(v) wrt v.
-12*v
Let i(f) = 1049*f**2 + 49*f - 47. Let v(s) = 350*s**2 + 16*s - 15. Let t(l) = -2*i(l) + 7*v(l). Find the second derivative of t(w) wrt w.
704
Let v(h) be the first derivative of 5 + 0*h + 0*h**4 + 5/2*h**6 + 0*h**5 - 6*h**3 + 0*h**2. What is the third derivative of v(l) wrt l?
900*l**2
What is the third derivative of 2*o**3 - 657*o**2 - o + 363*o**2 + 333*o**2 + 4*o**3 wrt o?
36
Let a(h) be the second derivative of -45*h**3 - 83*h**2/2 + 36*h + 2. What is the first derivative of a(d) wrt d?
-270
Let z(k) be the second derivative of 41*k**5/20 + k**4/6 + 4*k**2 + 14*k. What is the third derivative of z(y) wrt y?
246
Let p(f) = 10*f**4 - 7*f**3 + 36*f**2 + f. Let x(u) = 19*u**4 - 13*u**3 + 71*u**2 + 2*u. Let b(c) = -11*p(c) + 6*x(c). Find the third derivative of b(j) wrt j.
96*j - 6
Let d(n) = -174*n + 9. Let k(r) = 174*r - 2. Let a(g) = 3*d(g) + 2*k(g). Differentiate a(y) with respect to y.
-174
Suppose -2*k = -5*k + 9. Let w = -3 + 5. What is the first derivative of z - 6*z**3 + w*z**k - z - 1 wrt z?
-12*z**2
Let j(w) be the second derivative of 53*w**6/30 + 34*w**2 - 13*w + 5. Find the first derivative of j(z) wrt z.
212*z**3
Let l = 0 - -2. Suppose -2 = -x + w + w, -l*x + 7 = -w. What is the derivative of -f + 4 - 9 + x - 3 wrt f?
-1
Let y(c) = -475*c**3 - 60*c**2 + 2*c + 2. Let a(t) = -1899*t**3 - 244*t**2 + 9*t + 9. Let x(r) = -2*a(r) + 9*y(r). Find the third derivative of x(q) wr