- 6
Find the second derivative of 15*b - 312*b**5 + 337*b**5 + 25*b wrt b.
500*b**3
Let p = 578 + -570. Suppose 3*a - 7*a = -12. What is the third derivative of 4*h**2 - a*h + 3*h + p*h**5 wrt h?
480*h**2
What is the first derivative of -244 - 156*x**4 - 178*x**4 + 181 wrt x?
-1336*x**3
What is the third derivative of 8*x + 58*x**2 - 8*x - 30*x**2 - 15*x**3 wrt x?
-90
Let k = -1297 - -1303. Let j(q) be the first derivative of 13 + 0*q**5 + 0*q**4 + 0*q**3 + 0*q - 5/3*q**k + 4*q**2. What is the second derivative of j(b) wrt b?
-200*b**3
Let r(j) = -506*j**3 - 10*j**2 + 8*j + 5. Let p(y) = 506*y**3 + 12*y**2 - 7*y - 6. Let q(k) = -5*p(k) - 6*r(k). What is the second derivative of q(m) wrt m?
3036*m
Let x(i) be the third derivative of i**8/168 + 17*i**6/120 - 31*i**5/30 + 66*i**2. Find the third derivative of x(r) wrt r.
120*r**2 + 102
Suppose -4*g - p - 2*p + 15 = 0, 3*p = -5*g + 18. Let a(c) = c + 8. Let z be a(-5). Differentiate 3*b + z - b + g*b wrt b.
5
Let k(v) be the first derivative of 0*v**3 + 0*v**2 - 8/5*v**5 + 0*v**4 - 42 + 34*v. Differentiate k(n) with respect to n.
-32*n**3
Suppose -4*l = -7*l + 30. Let w = l - 5. Find the third derivative of -3*g**2 + 19*g**6 - 17*g**6 + w*g**2 - 3*g**2 wrt g.
240*g**3
Let v(b) be the third derivative of -5*b**6/24 + b**5/20 - b**3/3 + 8*b**2 - 5*b. What is the third derivative of v(a) wrt a?
-150
Let o(q) = -8*q**3 - q**2 - q - 1. Let m be o(-1). Suppose -4*d = 2*b + 6 - 4, -5*b + 22 = d. Differentiate 3*l**3 + b - 4*l**3 - m*l**3 - 3 wrt l.
-24*l**2
Let i(w) be the first derivative of -13/7*w**7 + 0*w**2 + 0*w**4 + 0*w - 7 + 0*w**6 + 0*w**5 + w**3. What is the third derivative of i(k) wrt k?
-1560*k**3
Let g = -2 - -2. Find the third derivative of -4*c**6 + 31*c**2 - 37*c**2 + g*c**6 - c**6 wrt c.
-600*c**3
Let q be (1/3)/(2/12). Let d(o) = 2*o**2 - 47*o - 72. Let b be d(25). Differentiate q*w**2 - 3*w - 8 + b*w wrt w.
4*w
Find the second derivative of -129*l**5 + 22*l**5 + 452*l + 68*l - 4*l**5 - 93*l**5 wrt l.
-4080*l**3
Let n(t) = -201*t**3 - 5*t**2 - 10*t + 65. Let b(f) = -100*f**3 - 2*f**2 - 4*f + 33. Let k(o) = 5*b(o) - 2*n(o). What is the derivative of k(a) wrt a?
-294*a**2
Let p(o) be the second derivative of -77*o**6/30 + o**5/20 + 145*o**2/2 + 110*o. What is the derivative of p(b) wrt b?
-308*b**3 + 3*b**2
Suppose -b + 90 = 4*b. What is the second derivative of b*w**2 + 101*w - 95*w - 5*w**2 wrt w?
26
Let a(n) be the first derivative of 3*n**5/5 + n**4 + n**2/2 + 17*n - 63. What is the second derivative of a(u) wrt u?
36*u**2 + 24*u
Let p(k) be the second derivative of -17/2*k**2 - 13*k + 1/2*k**4 + 0*k**3 + 0. What is the first derivative of p(i) wrt i?
12*i
Let y be (3/(-2))/((-10)/20). Find the first derivative of y*r + 3 - 6*r - r + 0*r wrt r.
-4
Suppose -4*f = 5*k + f - 90, 5*k - f - 84 = 0. Differentiate -461*a + 2 - k + 448*a wrt a.
-13
Suppose -40*l + 20 = -35*l. Let s(q) be the first derivative of 0*q**3 + 3/2*q**2 + 3/4*q**l - 1 + 0*q. Find the second derivative of s(u) wrt u.
18*u
What is the third derivative of 6*d - 463*d**3 - 34 + 155*d**3 - 8*d + 2*d - 3*d**2 wrt d?
-1848
Let a be 4/(-14) - (-27)/21. Suppose 5*q + 2*k - 9 = 0, 0 = k - a + 4. What is the first derivative of 3*s**3 - 7 + 7*s**q + 0 + 5 wrt s?
30*s**2
Differentiate 83*v**4 - 25*v**4 - 31 + 91 with respect to v.
232*v**3
Find the third derivative of 10*h**2 + h**3 + 60*h**4 + 6 + 0*h - 8*h**2 + 3*h - 6 wrt h.
1440*h + 6
Let q be 14/(-1) - (-13 + 14). Let o = -12 - q. Find the first derivative of -o + 5*r - 6 + 16 - 9 wrt r.
5
Let v(o) be the second derivative of -17*o**5/10 - 5*o**4/6 + 5*o**3/6 + o. Find the third derivative of v(r) wrt r.
-204
What is the second derivative of 9 - 2 + 50*u**2 + 0 + 6 + u wrt u?
100
Let i(r) be the second derivative of 11*r**7/6 + 2*r**3/3 + 9*r**2/2 - 27*r. Find the second derivative of i(q) wrt q.
1540*q**3
Let z(d) be the first derivative of -d**4/4 + 13*d**3/3 + 61*d**2 - 119. Find the second derivative of z(a) wrt a.
-6*a + 26
Let y = -30 - -36. Find the first derivative of -5*q**2 - 6*q**2 + 20 - y wrt q.
-22*q
Let n(a) = a**4 - 2*a**3 + a**2 - a. Let y(x) = -6*x**4 - 16*x**3 + 8*x**2 - 8*x - 206. Let v(p) = -8*n(p) + y(p). What is the first derivative of v(s) wrt s?
-56*s**3
What is the first derivative of 2*c**4 + 19 - 251*c + 251*c + 24*c**3 wrt c?
8*c**3 + 72*c**2
Let k(y) be the second derivative of -y**6/360 - y**5/24 + y**4/2 - 15*y. Let z(f) be the third derivative of k(f). What is the first derivative of z(b) wrt b?
-2
Let g(c) = 75*c**2 - 2*c + 13. Let l(o) = 151*o**2 - 3*o + 29. Let j(s) = -5*g(s) + 3*l(s). What is the second derivative of j(a) wrt a?
156
Let q(c) = c**3 + 2*c**2 - 3*c - 2. Let m be q(-3). Let l be ((-4)/3)/(m/3). Find the third derivative of -4*o**3 + 7*o**3 + 0*o**2 + l*o**2 + 2*o**2 wrt o.
18
Let f(x) be the third derivative of -13*x**2 + 0*x**3 - 1/12*x**4 + 0*x - 2/15*x**5 + 0. What is the second derivative of f(w) wrt w?
-16
Let a = 24 + -18. Differentiate a - 6 - k + 22 with respect to k.
-1
Suppose -5*x + 22 = 2. Suppose -o - 3 = -x. Find the first derivative of 19*c**2 + o - 12*c**2 - 9*c**2 wrt c.
-4*c
Let d(w) = 16*w**4 - w**2 - 3. Let c(s) = s**4 + s**2 + 1. Let m = 0 - -1. Let y(p) = m*d(p) + 3*c(p). What is the third derivative of y(h) wrt h?
456*h
Let g(r) = -r**3 + 10*r**2 + 2*r - 18. Let x be g(10). Find the first derivative of 42*m**2 - 95*m**2 + 17 - 2 + 40*m**x wrt m.
-26*m
What is the third derivative of 6040*u**5 - u**4 + 17*u**2 + 11*u**6 - 6040*u**5 wrt u?
1320*u**3 - 24*u
Let y(d) = 115*d**3 - 857*d**2 + 28*d + 14. Let p(o) = -57*o**3 + 429*o**2 - 16*o - 8. Let v(i) = -7*p(i) - 4*y(i). What is the third derivative of v(u) wrt u?
-366
Let m(s) = -4*s**3 - 6*s + 14. Let d(q) = 3*q**3 + 5*q - 14. Let u(g) = 5*d(g) + 6*m(g). Let t(l) be the first derivative of u(l). Differentiate t(h) wrt h.
-54*h
Let v(x) be the second derivative of -10*x**8/7 + 15*x**4/2 - 10*x - 2. Find the third derivative of v(s) wrt s.
-9600*s**3
Let i(n) = -7*n**3 - 3*n**2 + 9. Let q = -10 + 14. Let z(h) = 6*h**3 + 4*h**2 - 9. Let v(c) = q*i(c) + 3*z(c). What is the first derivative of v(b) wrt b?
-30*b**2
Suppose -5*r + 0*r = -190. Find the third derivative of -f**2 - r*f**3 + 4*f**3 - 5*f**2 + 5*f**2 wrt f.
-204
Let z(n) = 3*n**5 - 4*n**4 + 11*n**3 + 203*n**2 + 4*n + 4. Let b(l) = l**5 + l**4 - l - 1. Let u(t) = 4*b(t) + z(t). What is the third derivative of u(h) wrt h?
420*h**2 + 66
Suppose 3 = 3*p - 9. Suppose -51 - 13 = -p*y. What is the third derivative of -16*z - 7*z**3 + y*z - 2*z**2 wrt z?
-42
Let y(s) = -s**2 + 3*s + 2. Let r be y(3). What is the second derivative of -11*v**4 - 9*v**4 - 31*v**2 - 15*v + 31*v**r wrt v?
-240*v**2
What is the second derivative of -197*v - 17*v**3 + 37*v**5 + 18*v**3 + 553*v - 3*v**3 wrt v?
740*v**3 - 12*v
Suppose 7*v - 9 = -23. Let x(r) = -8*r**2 + 17*r - 4. Let n(p) = -15*p**2 + 34*p - 10. Let z(q) = v*n(q) + 5*x(q). Find the second derivative of z(i) wrt i.
-20
What is the derivative of 88 - 250*w - 51*w - 432 - w + 0*w wrt w?
-302
Let j(y) be the second derivative of -11/3*y**3 - 21*y + 0*y**2 + 0 - 9/4*y**4. Find the second derivative of j(t) wrt t.
-54
Let a(n) be the second derivative of -463*n**7/42 + 94*n**3/3 + 175*n. Find the second derivative of a(q) wrt q.
-9260*q**3
Let a(t) = 103*t**2 + t - 1. Let d(b) = -103*b**2 + b. Let z(m) = 4*a(m) + 5*d(m). What is the second derivative of z(h) wrt h?
-206
Let c(q) be the second derivative of -3*q**8/2 + q**4/6 + 37*q**3/6 + 128*q. What is the third derivative of c(o) wrt o?
-10080*o**3
Let j(m) = 2*m + 8. Let h be j(-2). Differentiate -48*u**h + 2 + 3 + 36*u**4 wrt u.
-48*u**3
What is the derivative of 859*n**4 + 93*n**4 - 182*n**4 + 69 - 65*n**4 - 204*n**4 wrt n?
2004*n**3
Let i(k) be the third derivative of -3*k**7/14 + 19*k**3/2 - 24*k**2 + k. What is the first derivative of i(p) wrt p?
-180*p**3
Suppose 0 = -2*c + 2*t + 12, -2*c - t - 3*t = 12. Find the first derivative of -3*i**2 + 5 - c + 5 wrt i.
-6*i
Let p be 8/12*(-9)/3. Let d be 2/(0 + -2)*p. Find the first derivative of 2*w**d + 0*w + 0*w - w**2 + 2 wrt w.
2*w
Suppose -26 = 3*o + 1. Let s = o + 15. Find the third derivative of 3*m**s - m**2 - 4*m**2 + 2*m**6 wrt m.
600*m**3
What is the th