228
Let a = 63 - 41. Let z(y) = -y**3 - 33*y**2 - 28*y + 130. Let p be z(-32). Find the third derivative of -30*b**6 + a*b**6 + 5*b**p + 2*b**2 wrt b.
-960*b**3
What is the second derivative of r**4 - 64*r - 1 - 51*r**3 + 76*r**3 + 1 + 140*r**3 wrt r?
12*r**2 + 990*r
Find the third derivative of -4*z**2 + 52*z**5 - 35*z + 29*z + 12*z + 20*z wrt z.
3120*z**2
Let y = -21/20 + 13/10. Let l(o) be the second derivative of 1/10*o**5 - y*o**4 + 4*o + 0*o**2 + 0*o**3 + 0. What is the third derivative of l(r) wrt r?
12
Let x be (-3)/(4 + 844/(-208)). What is the first derivative of -x*t + 101*t - 49*t + 20*t**2 - 5 wrt t?
40*t
Let g(x) be the third derivative of x**7/140 - x**4/3 - 5*x**3/6 - 7*x**2. Let n(b) be the first derivative of g(b). What is the first derivative of n(m) wrt m?
18*m**2
Let l(s) be the second derivative of -7*s**5/10 + 2*s**4/3 - s**3/2 + 15*s**2 - 83*s + 2. What is the second derivative of l(t) wrt t?
-84*t + 16
Let x(i) = -2*i + 2. Let g be x(-1). What is the second derivative of a + 0*a + g*a + 2*a**2 + 7*a**2 wrt a?
18
Suppose k = -5*t + 12, 13*k + 3*t = 16*k. Let f(g) be the first derivative of -2/3*g**3 + g**k + 0*g + 2. Find the second derivative of f(c) wrt c.
-4
Find the second derivative of 8*m**2 - 4*m**5 + 6*m**5 - 11*m**2 + 4*m**2 - 73*m + 14*m**5 wrt m.
320*m**3 + 2
Let c(d) be the second derivative of 101*d**5/20 + d**4/6 + 99*d**2/2 - 143*d. Find the third derivative of c(q) wrt q.
606
Suppose -19 + 101 = 2*q. Suppose -2*b + q = -215. Find the third derivative of -128*w**4 + w**2 - 3*w**6 + b*w**4 wrt w.
-360*w**3
Let s be 1*(-1)/(-3)*51. Let i = -15 + s. Differentiate -30*u**2 + 7 - u**4 + 30*u**i - 1 wrt u.
-4*u**3
Suppose -53 = 14*w - 81. Let u(z) be the first derivative of 0*z**4 - 6/5*z**5 + 4 - 8/3*z**3 + 0*z**w + 0*z. What is the third derivative of u(x) wrt x?
-144*x
Find the third derivative of -3*j**3 + 3285*j - 29*j**6 - 3285*j + 7*j**2 wrt j.
-3480*j**3 - 18
Suppose -16*v = -2*v - 70. Find the second derivative of 25*j + 3*j - 3*j**v + 4*j**5 - 3*j wrt j.
20*j**3
Let v(k) be the second derivative of -k**6/15 + 131*k**5/20 - k**4/12 + 11*k**3/6 - k - 33. Find the third derivative of v(r) wrt r.
-48*r + 786
What is the third derivative of 228*q**2 + 219*q**2 + 20*q**4 + 14*q**4 - 8*q**3 - 703*q**2 + 2*q**2 wrt q?
816*q - 48
Suppose -4*p = 2*j - 22 + 4, 5*p - 2*j - 9 = 0. Find the third derivative of 16*l + l**2 + 3*l**2 - 27*l**p - 16*l wrt l.
-162
Suppose -5*w - 299 = -974. Let f be 6/10 - w/(-25). What is the second derivative of -m + 8*m - 4*m + 2*m - f*m**3 wrt m?
-36*m
What is the third derivative of 78*t**2 + 5712*t**3 + 17*t**2 - 7*t**6 + t**4 - 5712*t**3 wrt t?
-840*t**3 + 24*t
Suppose -25*k = 26*k - 9*k. Let o(i) be the first derivative of -2/3*i**3 + 4*i + 2 + k*i**2. Differentiate o(b) wrt b.
-4*b
Let m(r) be the first derivative of 5*r**6/3 - 2*r**5 + 60*r**3 - 180. What is the third derivative of m(f) wrt f?
600*f**2 - 240*f
Let n be 1/(-4) + 34/8. Let i = -55 - -69. Find the second derivative of y + i*y**4 - 7*y**5 - 14*y**n + 5*y wrt y.
-140*y**3
Let v be ((-24)/28)/((-1)/(-7)). Let b = v - -19. Differentiate 9*k + 7 + 2*k - 1 - b*k wrt k.
-2
Let q(c) = -4 + 456*c**3 - 445*c**3 + c - 6*c + 7. Let g(h) = -54*h**3 + 24*h - 14. Let r(s) = -3*g(s) - 14*q(s). Find the second derivative of r(d) wrt d.
48*d
Let o(m) = -155*m**4 - 4*m**2 - 281*m + 4. Let q(v) = 464*v**4 + 11*v**2 + 843*v - 11. Let k(b) = 11*o(b) + 4*q(b). What is the second derivative of k(c) wrt c?
1812*c**2
Let x(u) be the third derivative of -23*u**8/336 + u**7/105 - 193*u**4/24 - 54*u**2. Find the second derivative of x(q) wrt q.
-460*q**3 + 24*q**2
Let n(o) be the second derivative of -o**8/8 + o**5/4 + 31*o**4/4 + 30*o - 2. What is the third derivative of n(t) wrt t?
-840*t**3 + 30
Suppose 4*i = 2*i - 6, -5*x + 12 = i. Suppose -x*f = -4*n + 8, 5*f = 2*n + f + 6. What is the second derivative of -v**4 - 4*v**n + 3*v**5 + v**4 - 2*v wrt v?
-20*v**3
Let t(r) = -3*r - 12. Let h be t(-8). Let y be h/8*(-4)/(-3). Find the third derivative of -6*d**y + 2*d + 4*d**3 + 2*d**2 - 2*d wrt d.
24
Let f(i) be the third derivative of -2*i**7/7 - 23*i**4/8 + i**3/3 - 2*i**2 - 54*i. Find the second derivative of f(v) wrt v.
-720*v**2
Let m(w) be the first derivative of 47*w**4/2 + w**3/3 - 10*w - 6. What is the third derivative of m(p) wrt p?
564
Let c(g) be the first derivative of -9 + 0*g**2 - 3*g + 4/3*g**3. Differentiate c(h) with respect to h.
8*h
Let c(s) be the first derivative of -31*s**7/42 + 5*s**3 + 20*s - 24. Let z(m) be the first derivative of c(m). Find the second derivative of z(j) wrt j.
-620*j**3
Let r(p) be the second derivative of -111*p**5/20 + 187*p**2/2 - 212*p. What is the first derivative of r(z) wrt z?
-333*z**2
What is the derivative of -1006*z + 1916*z - 1148*z - 358 wrt z?
-238
Let o(s) be the first derivative of 45*s**5 + 301*s**2/2 + 39. Find the second derivative of o(t) wrt t.
2700*t**2
Find the second derivative of -27*h**5 - 1 + 52*h**4 + 3 - 27*h**5 + 147*h + 80*h**5 - 28*h**5 wrt h.
-40*h**3 + 624*h**2
Let t(k) be the second derivative of 0 + 37/6*k**3 + 11*k + 7*k**2. Differentiate t(o) wrt o.
37
Let h = -16 - -17. Let t(z) = -14 + 13*z - h + 8 + 12*z**2. Let d(o) = 2*o**2 + 2*o - 1. Let b(g) = 39*d(g) - 6*t(g). Find the first derivative of b(c) wrt c.
12*c
Let w(f) = f**3 - 9*f**2 + 8*f + 6. Let n be w(8). What is the third derivative of -5*r**2 + 5*r**3 + r**2 - n*r**2 - r**2 wrt r?
30
Let u(y) = -266*y**2 - 247*y + 4. Let c(p) = 6*p**2 + p - 1. Let d(f) = -4*c(f) - u(f). Find the second derivative of d(s) wrt s.
484
Let b(z) be the second derivative of -5*z**7/42 + z**6/5 - 51*z**4/4 + 223*z. What is the third derivative of b(t) wrt t?
-300*t**2 + 144*t
What is the derivative of -22*p**4 - 22*p**4 - 54*p**4 + 117 - 59*p**4 + 4*p**4 wrt p?
-612*p**3
Let o(w) = 310 - 17*w + 9*w**2 - 310. Let h(z) = 44*z**2 - 84*z. Let g(q) = -2*h(q) + 11*o(q). Find the second derivative of g(c) wrt c.
22
Let f = -17 + 26. Let p = 15 - f. Find the second derivative of p*k - 3*k - k**4 + 4*k**4 wrt k.
36*k**2
Suppose -a + 12 = 2*a. Find the third derivative of -290*p + 290*p - p**2 - 8*p**a wrt p.
-192*p
Let i(o) = 145*o + 717. Let k(f) = 29*f + 141. Let t(p) = 6*i(p) - 33*k(p). What is the derivative of t(d) wrt d?
-87
Find the third derivative of 6*r**2 - 19*r**2 - 5*r**5 + 150*r**5 wrt r.
8700*r**2
Let p(a) be the first derivative of 8*a**4 + 18 - 55 - 13*a**3 + 3*a**3 + 3*a**3. What is the third derivative of p(s) wrt s?
192
Suppose 8*g = 4*g - 24. Let b(w) = -w**2 - 7*w + 4. Let o be b(g). What is the third derivative of o*a**2 - 10*a**6 - 16 + 16 wrt a?
-1200*a**3
Suppose -4*v + 4*p + 28 = 0, 0 = -v - 2*v - p + 1. Suppose v + 3 = n. What is the second derivative of 3*b**2 - 3*b - 3*b**2 + 0*b**5 + 4*b**n wrt b?
80*b**3
Suppose -4*i - 5*c = -41, -4*i + 4*c = i. What is the second derivative of 3*p - 6*p**4 + i*p**4 + 3*p + 3*p**4 wrt p?
12*p**2
Let h(t) = 115*t**6 + 7*t**5 + 50*t**2 - 7. Let g(f) = -58*f**6 - 4*f**5 - 25*f**2 + 4. Let d(n) = -7*g(n) - 4*h(n). What is the third derivative of d(b) wrt b?
-6480*b**3
Let f = 435 - 434. Let g(l) be the first derivative of l**3 + 0*l**2 - f + 0*l**5 + 0*l + 0*l**4 - 1/2*l**6. Find the third derivative of g(q) wrt q.
-180*q**2
Let j(r) = -r**4 + r**3 - r**2 + r - 1. Let n(b) = 4*b**4 - 2*b**3 - 6*b**2 + 140*b + 2. Let t(p) = -2*j(p) - n(p). What is the second derivative of t(i) wrt i?
-24*i**2 + 16
Let y = -152 - -154. Suppose q - 2 = -q. What is the derivative of -3 - 2*o**2 - q + 0*o**2 + 5*o**y wrt o?
6*o
Find the third derivative of -127 - 2*g**2 - 47*g**4 - 42*g**4 - 42*g**4 - 262*g**5 - 111*g**5 + 129*g**4 wrt g.
-22380*g**2 - 48*g
What is the first derivative of -22 + 10*d - 33*d + 45*d wrt d?
22
Let c be (-11)/(-4) + 9/36. What is the first derivative of -2 + 15*j**3 + 6 + 25*j**c - 21*j**3 wrt j?
57*j**2
Let i(w) = 43*w**3 - 5*w**2 + 9*w. Let y(q) = -22*q**3 + 3*q**2 - 5*q. Let k(m) = 3*i(m) + 5*y(m). What is the second derivative of k(f) wrt f?
114*f
Let n be 5/(2/(-4 + 6)). What is the second derivative of 8*i**n + 1198*i**3 - 1198*i**3 - 8*i wrt i?
160*i**3
Let w(r) be the third derivative of -79*r**6/120 - r**4/12 + 2*r**3/3 - 227*r**2. Differentiate w(g) wr