 z(h) wrt h.
-480*h**3 - 696*h
Let z(f) be the third derivative of f**7/15 + f**6/30 - f**4/6 - f**3/2 - 66*f**2. What is the second derivative of z(a) wrt a?
168*a**2 + 24*a
Let w(a) = 17*a + 9. Let t(z) = z. Let k(m) = -m**3 - 12*m**2 - 11*m + 3. Let s be k(-11). Let f(o) = s*t(o) - w(o). What is the first derivative of f(u) wrt u?
-14
Let d = 34 + -32. What is the third derivative of 5*r**4 - 62*r**d + 70*r**2 + 9*r**4 wrt r?
336*r
Let d(j) be the first derivative of j**4 - 17*j**3/3 + 47*j**2 + 372. Find the second derivative of d(c) wrt c.
24*c - 34
Let p(q) = 2*q - 23. Let z be p(14). What is the second derivative of 5*b + 8*b**5 + 10*b**z - b wrt b?
360*b**3
Let g(p) = -p**3 + 8*p**2 - 3*p + 1. Let n be g(7). Suppose r - n = -3. What is the second derivative of -2*k - r + 26 - 4*k**3 wrt k?
-24*k
Let g(b) be the third derivative of 0 + 3/8*b**4 + 0*b**3 - 31*b**2 + 1/30*b**5 + 0*b. Find the second derivative of g(v) wrt v.
4
Let p(l) be the second derivative of -l**6/5 + l**5/4 - 101*l**4/12 - 75*l. Find the third derivative of p(a) wrt a.
-144*a + 30
What is the third derivative of -2*q**5 - 5*q**6 + 26*q**6 + 6*q**3 + 22*q**5 - 243*q**2 - 20*q**5 wrt q?
2520*q**3 + 36
Let p(x) = -x**2 + 3*x + 1. Let y be p(2). Differentiate -q**4 - q**4 + y + 0 wrt q.
-8*q**3
Suppose 2*y = 2*f - 0*f, 3*f + y = 16. What is the derivative of -1 + k**f - 13 + 0*k**4 wrt k?
4*k**3
Let i(y) be the third derivative of 3*y**6/2 + 125*y**4/24 + 16*y**2 + 3*y. What is the second derivative of i(v) wrt v?
1080*v
Let p(s) be the second derivative of -s**7/168 - s**4/3 - 13*s**3/6 - 22*s. Let q(w) be the second derivative of p(w). What is the derivative of q(l) wrt l?
-15*l**2
Find the second derivative of 67*y**2 + 266*y - 3154 + 45*y**2 + 3154 wrt y.
224
What is the third derivative of 5*t**5 - 19*t**2 - 15*t**2 - 19*t**3 + 19*t**3 wrt t?
300*t**2
Let c be 62/14 - (-39)/(-91). Let g(k) be the second derivative of 1/2*k**c - 2*k**2 + 6*k + 0*k**3 + 0. Find the first derivative of g(t) wrt t.
12*t
Let q(p) = -10 + 3 - p + 6*p. Let k be q(2). What is the second derivative of 157*y - 3*y**3 - 167*y - 7*y**k wrt y?
-60*y
Let y = -39 - -45. Find the second derivative of -7*s**2 - 6*s + 14*s - y*s wrt s.
-14
Let y(t) be the third derivative of 7/24*t**4 + 0*t - t**3 - 21*t**2 + 0. Differentiate y(a) with respect to a.
7
Suppose -v - 3*v - 4*j - 180 = 0, -4*j - 12 = 0. Let l be (v/35)/((-4)/10). Find the third derivative of 5*p**2 - p - 2*p + 3*p**5 + l*p wrt p.
180*p**2
Suppose -10 = -6*c + 8. What is the third derivative of 5*g**3 - 11*g**3 - 2*g**3 - 2*g**2 - 5*g**c wrt g?
-78
Let z(n) be the first derivative of 11*n**4/2 - 76*n**3/3 - 327. What is the third derivative of z(g) wrt g?
132
Let y(w) be the first derivative of 11 + 3/4*w**4 + 0*w**3 + 13*w + 0*w**2. What is the first derivative of y(g) wrt g?
9*g**2
Let m = 14 + -5. What is the first derivative of m + 9*b - 8 - 3 wrt b?
9
What is the third derivative of 44 - 91 + 157*t**4 - 25*t**2 + 49 wrt t?
3768*t
Let o(l) = -206*l**3 + 6*l**2 - 6*l - 230. Let t(i) = -206*i**3 + 4*i**2 - 4*i - 231. Let q(m) = 2*o(m) - 3*t(m). What is the first derivative of q(p) wrt p?
618*p**2
What is the second derivative of 7*l**3 - 314*l**2 + 23*l**3 - 108*l + 316*l**2 wrt l?
180*l + 4
Let l be (-1)/(3/6) - -3. Suppose l = -m + 6. Find the third derivative of -36*s + 36*s + m*s**3 + 2*s**2 wrt s.
30
Let s(m) = -766*m**4 + 3*m**3 - 9*m**2 + 3*m + 315. Let y(p) = -766*p**4 + 2*p**3 - 6*p**2 + 2*p + 316. Let i(g) = 2*s(g) - 3*y(g). Differentiate i(t) wrt t.
3064*t**3
Let a be (336/32)/(1/2). Find the second derivative of -o**4 + 14*o + 16*o**2 + 3 - a*o - 3 wrt o.
-12*o**2 + 32
Find the third derivative of -4 - 57*n**3 - 273*n**3 - 13*n**3 - 10*n**2 wrt n.
-2058
Let l(n) be the second derivative of n**7/210 + n**6/18 + 20*n**3/3 - 38*n. Let m(c) be the second derivative of l(c). Find the third derivative of m(y) wrt y.
24
Find the third derivative of -2*m + 2*m - 29*m**2 - 557*m**4 + 557*m**4 - 103*m**6 wrt m.
-12360*m**3
Let g(j) = -274*j**3 - 17*j**2 - 113*j. Let a(q) = -136*q**3 - 8*q**2 - 57*q. Let k(b) = -13*a(b) + 6*g(b). What is the third derivative of k(c) wrt c?
744
Let x(k) be the first derivative of 8*k**4 + 18*k - 123. What is the derivative of x(w) wrt w?
96*w**2
Find the second derivative of -20*y**2 + 3*y + 5*y**5 - 5*y**2 + 4 - 4*y**5 - 11*y**2 wrt y.
20*y**3 - 72
Let p(f) = f**4 + 2*f**3 + f. Let l(z) = 6*z**4 + 39*z**3 + 287*z - 2. Let y(h) = -l(h) + 5*p(h). Find the second derivative of y(b) wrt b.
-12*b**2 - 174*b
Let x(d) be the second derivative of 0 + 0*d**7 + 0*d**3 + 0*d**6 - 5/56*d**8 - 1/12*d**4 + 3*d + 0*d**2 + 0*d**5. Find the third derivative of x(k) wrt k.
-600*k**3
Find the third derivative of -35*s**4 - 2*s**5 + 2*s**2 - 27 - 5*s**2 + s**2 - 122*s**4 wrt s.
-120*s**2 - 3768*s
Suppose 2 = 6*r - 4. Differentiate r + 17*m**4 - 7 - 5*m**4 wrt m.
48*m**3
Let f(c) = 133*c**4 + 3*c**3 - 6*c**2 - c + 82. Let p(u) = -400*u**4 - 8*u**3 + 16*u**2 + 2*u - 245. Let t(j) = 8*f(j) + 3*p(j). Differentiate t(a) wrt a.
-544*a**3 - 2
Let d(i) be the first derivative of 4*i**2 + 10 + 10/3*i**3 + 0*i. Find the second derivative of d(h) wrt h.
20
Let z(d) be the first derivative of -19/3*d**3 + 0*d**2 + 0*d**4 + 0*d**5 + 2 + 0*d + 1/6*d**6. Find the third derivative of z(x) wrt x.
60*x**2
Suppose -3*r - q = -0*q - 18, -3*q + 30 = 5*r. Suppose -t + 11*t - 20 = 0. Find the first derivative of 0*m**3 - r*m**4 - t*m**3 + 2*m**3 - 7 wrt m.
-24*m**3
Suppose 9*o = 13 + 5. Let c(h) = -h**2 - h - 1. Let f(x) = 7*x**3 + 2*x**2 + 2*x - 11. Let u(s) = o*c(s) + f(s). Find the first derivative of u(p) wrt p.
21*p**2
Let j(n) = n**2 - n. Let u(t) be the first derivative of -11*t**3/3 - t**2 - 12*t - 2. Let l(q) = 2*j(q) - u(q). Differentiate l(c) with respect to c.
26*c
Let z(a) = -382*a**3 - a**2 + 9*a + 876. Let u(t) = -96*t**3 + 2*t + 219. Let r(l) = 9*u(l) - 2*z(l). Differentiate r(o) with respect to o.
-300*o**2 + 4*o
Let n(g) = -g**3 + 5*g**2 + 9*g - 5. Let t be n(6). Let s = 15 - t. What is the third derivative of 3*j**4 - 11*j**4 - 28*j**3 + 28*j**3 + 6*j**s wrt j?
-192*j
Suppose -2*t = -5*r + 4 + 49, 0 = 2*r - 4*t - 34. Find the second derivative of -15*k**5 - r*k + 13*k**5 - 6 + 5*k wrt k.
-40*k**3
Suppose 83*w + 70 = 97*w. Let m(o) be the second derivative of 3*o + 0*o**2 + 1/4*o**w + 1/2*o**3 + 0 + 0*o**4. Find the second derivative of m(v) wrt v.
30*v
Let x(t) be the second derivative of 14*t**6/5 + t**4/12 - 37*t**2 + 54*t. Find the first derivative of x(q) wrt q.
336*q**3 + 2*q
Suppose -4*f = -8*f + 24. Find the third derivative of l**2 + f*l - 12*l**2 - 6*l - 35*l**4 wrt l.
-840*l
Suppose 2*g + 2*d = 5*g - 113, -g = d - 36. What is the third derivative of 49*n**4 - 6*n**2 + g*n**4 - 99*n**4 wrt n?
-312*n
Find the second derivative of -42 - 13*z**2 + 263*z + 46 - 4 wrt z.
-26
Let y(b) = 106*b**2 - 154*b - 6. Let j(d) = -d + 3. Let a(k) = -2*j(k) - y(k). Find the second derivative of a(w) wrt w.
-212
Let a(d) be the third derivative of 23*d**10/151200 + 17*d**6/360 + 11*d**5/20 - 20*d**2. Let h(c) be the third derivative of a(c). Differentiate h(k) wrt k.
92*k**3
What is the third derivative of -23*o**2 + 2*o**3 + 0*o**4 - 178*o**5 + 22*o**2 - 3*o**3 + 0*o**4 wrt o?
-10680*o**2 - 6
Differentiate -29*u**2 - 7*u**2 + 0*u + 2*u**2 + 142 + 0*u with respect to u.
-68*u
Let k(v) be the second derivative of 0*v**4 + 0 + 0*v**3 - 2*v**2 - 11/10*v**5 - 27*v. Differentiate k(w) with respect to w.
-66*w**2
Let r(a) = 52*a - 1. Let v be r(1). Let f be (v/(-34))/((-3)/8). Find the third derivative of -3*u**f - 3*u**4 + 3*u**2 + 49 - 49 wrt u.
-144*u
Let i be 14 + 2 + (-4)/2. Suppose 3*w - 5*g - i = 12, -g + 4 = 4*w. What is the third derivative of -5*p**2 + 19*p**6 - w*p**2 + 28*p**6 - 46*p**6 wrt p?
120*p**3
Let l = 3/16 - -7/48. Let i(s) be the first derivative of l*s**3 + 0*s**2 - 3 - 4*s. Differentiate i(o) wrt o.
2*o
Suppose -600 + 588 = -4*k. Let f(m) be the second derivative of 1/3*m**k + 0*m**4 + 7/20*m**5 + 0*m**2 + 0 + m. What is the second derivative of f(b) wrt b?
42*b
Let x(w) = 3*w**3 + 2*w**2 - 2*w + 1. Let i be x(1). Suppose -5 = i*p - 25. What is the third derivative of -3*o**4 - 9*o**2 - p*o**2 - 2*o**2 + 11*o**2