08. What is the derivative of t(i) wrt i?
4*i**3 - 12
Let g = -37 - -39. Find the third derivative of 2*v**g + 3*v**3 - v**3 - 4*v**2 + 3*v**3 wrt v.
30
Find the first derivative of 355 + 145*h**2 - 6*h - 54*h**2 - 50*h**2 - 51*h**2 wrt h.
-20*h - 6
Let h(x) = -x**4 + x - 1. Let z(i) = -33*i**5 + 6*i**4 - 54*i + 6. Let u(o) = -6*h(o) - z(o). Find the second derivative of u(k) wrt k.
660*k**3
Let v(q) = -q**4 + 2*q**3 - 2*q**2 + 1. Let w(r) = 111*r**4 + 4*r**3 - 4*r**2 - r + 49. Let p(f) = 4*v(f) - 2*w(f). What is the second derivative of p(b) wrt b?
-2712*b**2
Let i(h) = 50*h**4 + 4*h**3 + 17. Let m(s) = -51*s**4 + 0 - 23*s**3 + 18*s**3 - 18. Let u(o) = -5*i(o) - 4*m(o). Find the first derivative of u(g) wrt g.
-184*g**3
Let k be 35/(-14)*(-12)/5. Suppose -2*y + 0*f + f + k = 0, -y - 5*f = -14. Find the first derivative of 14*o**4 - 3 - 9*o**4 - 1 - 10*o**y wrt o.
-20*o**3
Let t(b) be the second derivative of -b**4/12 + 111*b**3/2 + 63*b**2/2 - 527*b. Find the first derivative of t(l) wrt l.
-2*l + 333
Let n = 42 + -22. Suppose 0*g = -5*g + n. Differentiate 8*p**g - 5 - 14 + 26 wrt p.
32*p**3
Suppose -4*i - 31 = -g - 8*i, 0 = 4*g + 5*i - 80. What is the first derivative of g*j**3 + 9*j**3 + 58 - 57 wrt j?
72*j**2
Suppose x + 1 = 3. Let h be -2 - (-7 - -2)/1. Find the second derivative of 2*s**3 + x*s + 0*s - 3*s**h wrt s.
-6*s
Let h(t) be the second derivative of 38*t**3/3 + 32*t**2 + 2*t - 4. Differentiate h(q) wrt q.
76
Suppose -4*t = -0*t - 32. Let l = t - 3. What is the third derivative of -9*k**3 - 2*k**4 + 9*k**3 - k**4 - l*k**2 wrt k?
-72*k
Let d(q) be the third derivative of -q**6/60 - q**5/15 + q**3/3 - q**2. Let o(r) be the first derivative of d(r). What is the second derivative of o(i) wrt i?
-12
Let l(j) be the first derivative of 26*j**7 - 76*j**3/3 - j - 200. What is the third derivative of l(h) wrt h?
21840*h**3
Suppose 4*m = 3 + 1. Find the first derivative of -1 - 4 + 14*d - m wrt d.
14
Let b be 25/4 - (-1)/(-4). What is the third derivative of 20*y**2 + 10*y**b - y**6 - 22*y**2 wrt y?
1080*y**3
Let o be ((-28)/12)/(-7) + 10/6. What is the second derivative of -4*x**o + 4*x**2 - 4*x**2 + 2*x - 2*x**2 wrt x?
-12
Let q be 2*1/2 - -20. Let i be 36/7 - 3/q. Find the second derivative of 0*j**5 - j**5 + 2*j - 2*j**i wrt j.
-60*j**3
Let d(s) be the first derivative of -171*s**2/2 + 90*s + 162. Find the first derivative of d(z) wrt z.
-171
Suppose -24 = 8*k - 16*k. Differentiate 6*s**3 - 3*s**k + 2 - 9 - 8*s**3 wrt s.
-15*s**2
Let f(z) = 7*z**2 + 14*z - 21. Let t(m) = m - 1. Suppose 4*b + 2*b + 252 = 0. Let j(p) = b*t(p) + 2*f(p). Find the second derivative of j(w) wrt w.
28
Let q be 6 + -1 - (-6)/2. Suppose -4*k + q = -2*k. Find the second derivative of -5*y**4 + y**4 - k*y + 6*y**4 wrt y.
24*y**2
Let j(v) be the third derivative of v**5/30 + 133*v**4/24 - 47*v**3/6 - 3*v**2 + 11*v. Differentiate j(m) with respect to m.
4*m + 133
Let w(j) be the second derivative of 0*j**4 + 1/3*j**6 + 0*j**5 + 0 + 0*j**2 + 8*j - 11/3*j**3. What is the second derivative of w(h) wrt h?
120*h**2
Let d(c) be the first derivative of c**7/35 - c**3 - 7*c**2 - 5. Let g(w) be the second derivative of d(w). What is the derivative of g(j) wrt j?
24*j**3
Let x(c) be the first derivative of -5*c**8/56 + 11*c**4/12 - 10*c - 12. Let j(u) be the first derivative of x(u). Find the third derivative of j(z) wrt z.
-600*z**3
Suppose -4*y = -7*y. Suppose -6*d = -2*d + 4*g - 20, 2*g - 6 = y. What is the second derivative of -u**d + u**2 - 3*u**2 - 6*u wrt u?
-6
Suppose 0*y = -3*w + 5*y - 9, -w + 3*y = 7. Let m be -8 + 9 - (-2)/w. Differentiate 2 - 5*n**3 + 10*n**3 + m with respect to n.
15*n**2
Let g(x) be the third derivative of 1/24*x**4 + 0*x - 1/10*x**6 + 0*x**5 + 0 + 0*x**3 + 7*x**2. What is the second derivative of g(v) wrt v?
-72*v
Suppose 2*d = -5*a - 0 + 20, 2*d = -10. What is the third derivative of a*j**4 - 8*j**4 + 14*j**4 + 2*j**2 wrt j?
288*j
Let h(m) = -m - 2. Let y(b) = 63*b**2 - 11*b - 5. Let p(k) = -6*h(k) + y(k). Find the second derivative of p(s) wrt s.
126
Let f = -18 + 33. Suppose 5*m - 2*i = 4 - 0, 3*m = -3*i + f. Differentiate -4 - 3*n**4 - m + 4*n**4 with respect to n.
4*n**3
Suppose y = -6*c + 2*c + 29, 3*c - 18 = 3*y. Find the first derivative of 3*r**4 + 5 + 6 - c wrt r.
12*r**3
Let y(i) = -1. Let d(l) = 2*l - 4. Let t(x) = -d(x) + 6*y(x). Let z be t(-2). What is the second derivative of -5*o**3 - 66*o**2 + o + 66*o**z wrt o?
-30*o
Suppose 0 = -21*n + 16*n + 50. Find the first derivative of 10*h - 3*h + 8 + n*h wrt h.
17
Let g(r) = -r**3 - 4*r**2 - 6*r - 10. Let a be g(-4). Let w be (-5)/(-10)*(a - 2). Find the first derivative of -6 + 6*n + w - 5 wrt n.
6
Let k be ((-34)/(-4))/1*2. Find the first derivative of k*f**2 + 7*f**2 - 9 - 34 wrt f.
48*f
Find the second derivative of 31*s**4 - 3 + s**3 + 17*s**3 - 18*s**3 + 5*s wrt s.
372*s**2
Let m(y) be the second derivative of -28*y + 0*y**5 + 0*y**6 + 0*y**2 - 5/42*y**7 + 9/2*y**3 + 0 + 0*y**4. Find the second derivative of m(r) wrt r.
-100*r**3
Find the third derivative of 5*z**3 + 7*z**5 + 11*z**2 - 11*z**5 - 7 + 13 wrt z.
-240*z**2 + 30
Let h be 6/18 + (-3 - 17/(-3)). What is the second derivative of 19*b**3 - 25*b - 16*b**3 - h*b - 9*b wrt b?
18*b
Let m = -7 + 12. What is the third derivative of -5*q**2 + 0*q**2 - 3*q**m - q**2 wrt q?
-180*q**2
Let k be ((-3 - 0) + 2)/(2/(-6)). Let m(a) be the first derivative of -k + 0*a - 7/5*a**5 - a**3 + 0*a**2 + 0*a**4. Find the third derivative of m(c) wrt c.
-168*c
Let n(g) = 62*g + 491. Let l(s) = 127*s + 980. Let j(z) = 4*l(z) - 9*n(z). Find the first derivative of j(w) wrt w.
-50
Differentiate 148 - 3113*t**4 + 40 + 3341*t**4 wrt t.
912*t**3
Let u = -37 - -57. Suppose 10*g - u = 6*g. Find the third derivative of 6*s**g + 6*s**2 + 25*s - 25*s wrt s.
360*s**2
Let t = 3 - -1. Let i be 2 + (-1 + 1 - 0). What is the second derivative of 2 + 7*s - 5*s**t + 4*s**4 - i wrt s?
-12*s**2
Find the third derivative of 2*m**3 + 19*m - 18*m**5 - 57*m + 17*m + 22*m - 47*m**2 wrt m.
-1080*m**2 + 12
What is the second derivative of 2*u + 11*u**5 + 3*u**4 - 2*u**4 + 677 - 647 wrt u?
220*u**3 + 12*u**2
What is the second derivative of -46*k**2 + 46*k**2 - 255*k**3 + 1012*k + 11 - 11 wrt k?
-1530*k
Differentiate -13*t**2 - 94*t**2 + 252*t**2 - 55*t**2 + 31 with respect to t.
180*t
Let n(t) = -t**2 + 12*t + 5. Let a be n(12). Find the first derivative of -a + 20 + y + 3*y + y wrt y.
5
Let f be (-260)/150 + (-21)/(-9). Let y(z) be the first derivative of -7/2*z**2 + 0*z**3 + 3 + f*z**5 + 0*z + 0*z**4. Find the second derivative of y(a) wrt a.
36*a**2
Let s be 1/(-3) + (-4)/36*-66. Differentiate 31 + 23*t**2 + s - 16 with respect to t.
46*t
Let l = 131 - 123. Find the third derivative of -10*p**5 + 18*p**2 - l*p**5 + 4*p**5 wrt p.
-840*p**2
Let k(h) be the third derivative of -17*h**6/30 - 119*h**3/2 - 618*h**2. What is the first derivative of k(z) wrt z?
-204*z**2
Let l(t) be the third derivative of -t**7/840 - t**6/72 - 4*t**3 - 19*t**2. Let g(j) be the first derivative of l(j). Find the third derivative of g(m) wrt m.
-6
Let u(q) be the second derivative of -7*q**5/20 + 17*q**4/12 - q**3/6 + 347*q**2/2 - 1020*q. Find the second derivative of u(x) wrt x.
-42*x + 34
Suppose 1 = -3*o + 4*y + 7, 5*o - y = 10. Find the third derivative of -7*d**o - 7*d + 7*d - 8*d**3 + 20*d**3 wrt d.
72
Let j(g) be the first derivative of 4*g**5/5 - g**2/2 - 13*g + 16. What is the second derivative of j(m) wrt m?
48*m**2
Let t(j) be the third derivative of -j**8/56 - j**4/24 + 25*j**3/2 - 4*j**2 - 3. Find the second derivative of t(z) wrt z.
-120*z**3
Let v(j) be the third derivative of 13*j**5/12 - 5*j**4/24 + j**3/3 + 35*j**2 - 2. Find the second derivative of v(h) wrt h.
130
Differentiate 316*u**3 + 326 - 38154*u + 38154*u with respect to u.
948*u**2
Let y(t) = t**2 - t - 4. Let c be y(3). What is the second derivative of 34*x**2 - 2*x**c - 16*x**2 + x - 8*x wrt x?
32
Let t(c) be the second derivative of 289*c**7/42 - 104*c**3 + 5*c - 54. What is the second derivative of t(s) wrt s?
5780*s**3
Let l(n) be the second derivative of 0 - 3/28*n**8 + 1/6*n**4 - 8*n + 0*n**5 + 0*n**7 + 0*n**3 + 0*n**6 + 0*n**2. Find the third derivative of l(j) wrt j.
-720*j**3
Let a(q) = -q + 9. Let r be