- 1/112*b**8 + 17*b**2. Find the third derivative of n(w) wrt w.
-180*w**2
Let v(g) = 763*g**5 + g**4 - g**3 - 6*g + 19. Let q(z) = -2*z**5 + z**4 - z**3 - 2*z. Let u(d) = -q(d) + v(d). Find the second derivative of u(k) wrt k.
15300*k**3
Suppose -j = 5*c - 22, 5*j + 4*c - 23 - 3 = 0. Suppose 4*p - j = 3*p. Find the second derivative of -6*i**4 - 2*i**2 - 5*i + 2*i**p + 0*i**2 wrt i.
-72*i**2
Suppose 2*z - 33 = -z. Suppose 0 = 2*b + 3*w - 9, 8*w = 5*b + 4*w - z. What is the second derivative of 3*u + 6*u**2 + 3*u + 0*u**2 - b*u wrt u?
12
Let o(j) = -j**6 - 7*j**5 - 5*j**3 + 97*j**2 - 10. Let b(m) = m**5 + m**3 - m**2 + 2. Let a(c) = 5*b(c) + o(c). What is the third derivative of a(t) wrt t?
-120*t**3 - 120*t**2
Differentiate 304*f - 1 - 2 + 29 - 11 - 9 with respect to f.
304
Suppose 60 = 5*c - 2*x, 5*x = c + 2*x + 1. Suppose -c*r + 10*r + 1084 = 0. What is the second derivative of 7*p + 271 - 13*p**2 - r wrt p?
-26
What is the second derivative of 813*t + 17*t - 719*t**2 - 62*t**2 wrt t?
-1562
What is the third derivative of -303*f**2 - 1586*f**3 + 2*f**4 + 781*f**3 + 780*f**3 wrt f?
48*f - 150
Find the second derivative of 65*h**5 - 16*h**5 - 263*h - 33*h**5 - 3*h**3 wrt h.
320*h**3 - 18*h
Suppose 97*w = 96*w + 3. Let l(h) be the first derivative of 5 + w*h + 2/3*h**3 + 0*h**2. What is the derivative of l(r) wrt r?
4*r
Let y(h) = 333*h**2 - 489*h - 2. Let f(u) = 664*u**2 - 979*u - 5. Let j(m) = -2*f(m) + 5*y(m). What is the second derivative of j(b) wrt b?
674
Suppose 3*d + 9 = 0, 2*l = 4*l - 2*d - 14. Suppose h + 3*q - 11 - 9 = 0, l*h - 5 = 3*q. What is the second derivative of 6*w + 12*w**5 + 7*w**5 - 13*w**h wrt w?
120*w**3
What is the derivative of -8*k**2 - 327 - 142*k + 25*k**2 - 4*k**2 - 7*k**2 - 7*k**2 wrt k?
-2*k - 142
Let i(h) = 32*h**2 + 154*h + 10. Let x(s) = 63*s**2 + 308*s + 25. Let g(l) = 5*i(l) - 2*x(l). Find the second derivative of g(y) wrt y.
68
Let v(c) be the second derivative of 323*c**6/30 - c**4/3 - 37*c**3/3 - 829*c. Find the third derivative of v(t) wrt t.
7752*t
Let k(o) be the second derivative of 0*o**3 - 8*o + 13*o**2 - 5/3*o**4 + 0. What is the first derivative of k(n) wrt n?
-40*n
Let l(f) be the second derivative of -68*f**6/15 - 35*f**4/12 - 71*f. What is the third derivative of l(j) wrt j?
-3264*j
Let w(c) = 4*c**2 - 31*c - 347. Let k(q) = -12*q**2 + 86*q + 1041. Let z(b) = 3*k(b) + 8*w(b). What is the derivative of z(u) wrt u?
-8*u + 10
Suppose 2*v - 3*v + 3*h + 17 = 0, 2*v = 2*h + 22. What is the derivative of -34 - v*t - 13*t - 12*t - t wrt t?
-34
Find the second derivative of 241*r**5 - 3*r**2 + 2*r**2 - 231*r**5 - 78*r wrt r.
200*r**3 - 2
Let h(d) = d**3 - d - 3. Let v be h(2). Differentiate 57 - v*t**2 - 77 + 22*t**2 with respect to t.
38*t
Find the third derivative of 2*c**2 - 7*c**2 + 3 + 115*c**3 + 2*c**2 + 0 wrt c.
690
What is the first derivative of -5*c**3 - 24*c**3 + 978 + 571*c - 580*c wrt c?
-87*c**2 - 9
Let a(y) = -y**4 - 102*y + 97*y + 0*y**2 + 2*y**2 - 2. Let x(d) = -d**2 + d + 1. Let h(s) = a(s) + 2*x(s). Find the second derivative of h(t) wrt t.
-12*t**2
Suppose 6*o - 7*o = -3. Find the third derivative of -79 - 23*j**o + 13*j**2 + 79 wrt j.
-138
Suppose 2*b - 12 = -5*g, -28 = -5*g - 3*b + 5*b. Suppose 9*z - 4*z = 3*v - 2, 4*z = -4*v + 24. Differentiate 1 - 3 + 9 - 6*x**z + g*x**2 with respect to x.
-4*x
Let n be (2 - 0/(-2)) + 5 + -1. Find the third derivative of 8*f**n - 6*f**2 + 5*f**4 - f**6 - 5*f**4 wrt f.
840*f**3
What is the third derivative of -o**4 + 9 + 3*o**4 + 2*o + 45*o**2 - 9 - 375*o**2 - 164*o**5 wrt o?
-9840*o**2 + 48*o
Let c(s) = -14*s + 8. Let g(p) = 5*p - 3. Let x(f) = 4*c(f) + 11*g(f). Let i(l) = -11*l + 17. Let u(k) = -i(k) - 2*x(k). Differentiate u(b) with respect to b.
13
Let d(u) be the first derivative of u**5/15 + 5*u**4/6 - 12*u**2 - 15. Let l(g) be the second derivative of d(g). Find the second derivative of l(o) wrt o.
8
Let p(q) = q**2 + 5*q + 1. Let f be p(-6). Let z be 3/2*1*2. What is the second derivative of f*x - x - 8*x**z + 3*x**3 + 0*x wrt x?
-30*x
What is the first derivative of -745 + 1499 - 75*q**3 - 727 wrt q?
-225*q**2
What is the second derivative of 59770*j**2 - 27*j - 59768*j**2 - 86*j**5 - 116*j wrt j?
-1720*j**3 + 4
Suppose 4*s - 9 - 3 = 0. What is the third derivative of 0 - 16*v**s + 0 + 28*v**3 - 12*v**2 wrt v?
72
Let r(j) = j**3 - 3*j**2 + 38*j. Let h(v) = -v**3 + v**2 + v. Let n(c) = 3*h(c) + r(c). What is the second derivative of n(w) wrt w?
-12*w
What is the derivative of 112 + 159 - 227 - 213*i**3 wrt i?
-639*i**2
Let l be (-3)/(((-4)/2)/(-6)). Let g = -7 - l. What is the first derivative of 0 - 5*i**g - 3 + 3 - 3 wrt i?
-10*i
Let s(t) = -6*t**2 + 2*t + 1. Let a be s(-1). Let y = -4 - a. Find the third derivative of -11*k**2 + 5*k**y - 297 + 297 wrt k.
30
Let a(z) be the second derivative of -z**4/6 - 35*z**3/6 - 27*z**2/2 + 45*z. Differentiate a(q) with respect to q.
-4*q - 35
Let u be (0 + (-24)/(-3))*3/6. Let g(s) = s**2 + 5*s + 3. Let j be g(-5). What is the second derivative of -3*z**4 + 5*z + 2*z**u + j*z**4 wrt z?
24*z**2
Let q be (-6)/(-9)*1*3. Differentiate 21 - 6*c**2 + 20*c**q - 12*c**2 wrt c.
4*c
Suppose 3*m = 371 + 85. What is the derivative of 6*s**3 + 8*s**3 + 39 + m*s - 152*s wrt s?
42*s**2
What is the second derivative of -6*u**4 + 39*u**4 + 13*u - 5*u - 4 wrt u?
396*u**2
Suppose -3*u + 7*u + 40 = x, 5*u = x - 45. Suppose -a - x = -6*a. Find the second derivative of 7*c + 8*c**4 - 4*c**a + 2*c**4 wrt c.
72*c**2
Suppose 9*r + 20 = 19*r. Let h(t) be the second derivative of 0 - r*t + 0*t**4 - 3/20*t**5 + 0*t**3 + 3/2*t**2. What is the first derivative of h(z) wrt z?
-9*z**2
Let p(k) be the second derivative of 2*k**5 - k**4/6 + 3*k**3 - 3*k - 15. Find the third derivative of p(f) wrt f.
240
Let u(d) = -262*d**3 - 17*d**2 + 137*d. Let b(s) = -87*s**3 - 6*s**2 + 45*s. Let i(h) = 17*b(h) - 6*u(h). What is the second derivative of i(j) wrt j?
558*j
Let h(q) = 2*q - 3. Let r be h(3). Suppose 0 = r*s - 8*s + 20. Find the first derivative of s*u - u - u + 1 + u wrt u.
3
Let r(c) be the third derivative of -127*c**5/30 + 40*c**3/3 - 129*c**2. What is the derivative of r(a) wrt a?
-508*a
What is the third derivative of -17*h**2 + 104*h**3 + h**4 + 7*h**3 - 309*h**3 - 11*h + 77*h**3 wrt h?
24*h - 726
Suppose -5*f = -3*r + 32, f - 8 = -r - 2*r. Suppose -q = -r*q. Differentiate q - 2 + 3*h - 3 wrt h.
3
Let b(x) be the first derivative of 29*x**5/20 + 2*x**3/3 + 9*x - 6. Let n(a) be the first derivative of b(a). What is the second derivative of n(f) wrt f?
174*f
What is the second derivative of 181*d + 128*d**4 - 83*d**4 + 116*d**4 wrt d?
1932*d**2
Find the third derivative of 21*r**3 - 2*r**4 + 3 + 37 + 5*r**4 - 4*r**4 + 2*r**2 + 49 wrt r.
-24*r + 126
Suppose b + 6 = -6. Let c = b - -17. Find the first derivative of -c - 3*f + 0*f + 2*f**3 + 3*f wrt f.
6*f**2
Let b(q) = -4*q - 10. Let f be b(-5). Let p = 13 - f. What is the second derivative of 4*w**4 + 4*w**4 - p*w**4 - w**4 - w wrt w?
48*w**2
Let u(c) be the third derivative of -13*c**6/120 + 45*c**3/2 - 109*c**2 - 2*c. Differentiate u(f) wrt f.
-39*f**2
Let a(y) be the first derivative of 0*y + 0*y**3 + 0*y**4 - 24 - 14*y**2 + 28/5*y**5. What is the second derivative of a(o) wrt o?
336*o**2
Let k(j) be the second derivative of 59*j**6/10 - 157*j**4/4 - 643*j. Find the third derivative of k(c) wrt c.
4248*c
What is the second derivative of 7 - 73 + 577*n**2 + 66 - 77*n wrt n?
1154
Find the second derivative of 316*w**3 - 18 - 316*w**3 + 2*w + 48*w**5 wrt w.
960*w**3
Let i(z) = 448*z**4 - 6*z**3 + 867*z**2 - 6*z - 6. Let u(h) = h**4 + h**3 - 4*h**2 + h + 1. Let k(w) = -i(w) - 6*u(w). Find the third derivative of k(n) wrt n.
-10896*n
Let q(c) = 0*c - 1 + 9*c**2 - c**2 + 0*c. Let i be q(1). Differentiate r - 4*r**2 - r - i + 4 wrt r.
-8*r
Let d(u) = 10*u - 8. Let w be d(6). Let b be 11/(-55) - w/(-10). Find the first derivative of -16*y + 16*y + 4 - b - y**2 wrt y.
-2*y
Suppose 4*h - 128 = 300. Suppose -5*w + 37 = -q - 112, 5*q + h = 3*w. Find the third derivative of 29*j**3 - j**2 - 4*j**6 - w*j**3 wrt j.
-480*j**3
Suppose -3*m = -m - 10. Suppose -6*r = -m*r - 6. Find the first derivative of -136*t + 136*t - 2*t**3 + r wrt t.
-6*t**2
Let r(z) = -5*z**3 - 257*z**2 + 8*z + 99. 