 Suppose -5*f = -8*f + m. What is the second derivative of -5*z + z**2 - f*z + 5*z**2 - 4*z wrt z?
12
Let v(j) = -j**3 + j**2 + j - 1. Let o(w) = 5*w**2 - 34*w**3 + 24*w + 0 + 1 - 6. Let f(p) = o(p) - 5*v(p). Find the second derivative of f(i) wrt i.
-174*i
Let i(s) be the first derivative of -s**8/168 - 3*s**4/8 + 4*s**3/3 - 4. Let a(h) be the third derivative of i(h). What is the derivative of a(f) wrt f?
-40*f**3
Let b(n) = -n - 2. Let c be b(-3). Let w be c - 1 - (-2 - 0). Find the third derivative of 2*p**5 + 5*p**2 - 4*p**w - 2*p**2 - 8*p**5 wrt p.
-360*p**2
Find the second derivative of 30*d**2 + 523*d - 274213 + 274213 - 2*d**3 wrt d.
-12*d + 60
Let h(v) = -1458*v**3 + 595*v**2 - 11*v + 22. Let b(j) = 292*j**3 - 119*j**2 + 2*j - 4. Let u(w) = 11*b(w) + 2*h(w). Find the third derivative of u(s) wrt s.
1776
What is the third derivative of 5*k - 279*k**3 + 18*k**2 + 657*k**3 - 8*k + 8*k**2 + 6*k wrt k?
2268
Suppose 30 = 4*w - 2*a, -4*w - 15 = -5*a - 42. Find the third derivative of w*i**2 - i**3 + 14*i**3 + 7*i**2 wrt i.
78
Let m = 39 + -36. Find the third derivative of 10*n**3 - 24*n**2 + 11*n**m + 4*n**3 wrt n.
150
Let n(t) = 2*t**2 + t + 2. Let y be n(0). Find the third derivative of k**4 - 5*k**2 - 3*k**y + 2*k**2 + 5*k**2 wrt k.
24*k
Find the third derivative of -63*o**2 + 38*o**2 - 159*o**6 - 30*o**6 wrt o.
-22680*o**3
Suppose -2*g = g - 6. Suppose 3*b = 3*t, -g*b = 3*b - 4*t - 2. Find the first derivative of -8 + 4*i**2 + 13 - b wrt i.
8*i
Let v(d) = 36*d**3 + 11*d - 56. Let k(s) = 12*s**3 + 4*s - 19. Suppose -16 = -3*u - u. Let y(m) = u*v(m) - 11*k(m). Differentiate y(a) with respect to a.
36*a**2
Let k(n) = n**3 + 11*n**2 + 9*n + 2. Let b be k(-10). Find the second derivative of 1 - 1 - 4*q - 5*q - b*q**2 wrt q.
-24
Let k(q) be the first derivative of -67*q**6/6 + 336*q**2 + 47. Find the second derivative of k(u) wrt u.
-1340*u**3
Let w(r) be the first derivative of -244*r**7/7 - r**6/6 - 23*r**3/3 + 174. Find the third derivative of w(b) wrt b.
-29280*b**3 - 60*b**2
What is the second derivative of -46*d**2 + 16*d + 13*d + 2*d**2 - 13 - 30*d wrt d?
-88
What is the second derivative of -26*i**2 - i**3 + 3*i**3 + 46*i + 47*i - 16*i - 16*i wrt i?
12*i - 52
Let p(i) be the first derivative of -23*i**5/20 + i**3/3 + 11*i - 16. Let s(k) be the first derivative of p(k). Find the second derivative of s(m) wrt m.
-138*m
Let v(b) = b**3 - 2*b**2 - 1. Let s(r) = -167*r**3 - 213*r**2 - 3. Let o(w) = s(w) - 3*v(w). What is the third derivative of o(y) wrt y?
-1020
Suppose 0*w - 2*w = -4. Suppose -5*u + w*t = -3*t, 3*u = -t + 12. Differentiate u*o**4 + 11 - 4 - 14 wrt o.
12*o**3
Let p(b) = -4*b**4 + 7*b**3 + 6*b**2 + 442*b + 6. Let r(l) = -l**4 - 3*l**3 + l**2 - l + 1. Let u(y) = p(y) - 6*r(y). Find the second derivative of u(d) wrt d.
24*d**2 + 150*d
What is the third derivative of -25*p**3 - 14*p**2 + 2*p + p**2 - 3*p**3 - 2*p**4 - p wrt p?
-48*p - 168
Let k = 65 - 45. Suppose 2*c + 3 = 3*u - k, 3*c = -3. What is the second derivative of -z**3 - 3*z - u*z**3 + 2*z wrt z?
-48*z
Let w(q) = q**2 - 21*q + 7. Let f be w(22). What is the third derivative of -f*t**2 + 5*t**5 - 6*t**5 + t**2 + 10*t**2 wrt t?
-60*t**2
Differentiate 161*r - 35 - 14 - 59 - 24 wrt r.
161
Let y(m) be the third derivative of 0*m**3 + 1/24*m**4 + 0 + 0*m - 3/20*m**5 - 19*m**2. Find the second derivative of y(d) wrt d.
-18
Let o(m) be the third derivative of m**7/105 - m**5/30 - 17*m**4/4 + 5*m**2 + 5. What is the second derivative of o(l) wrt l?
24*l**2 - 4
Suppose r = 159 - 66. Find the second derivative of -87*w - r*w + 178*w - 43*w**5 - 3 wrt w.
-860*w**3
Let g be (-1*14/63)/((-2)/3). Let t(u) be the third derivative of 1/60*u**5 + 3*u**2 + 0*u + 0 + 0*u**4 + g*u**3. Differentiate t(m) with respect to m.
2*m
Let t(w) be the first derivative of 11*w**5/10 - w**3 - 22*w - 10. Let v(j) be the first derivative of t(j). What is the second derivative of v(c) wrt c?
132*c
Let a(y) = -246*y**2 - 66*y + 4. Let n(o) = 121*o**2 + 33*o - 2. Let u(g) = -3*a(g) - 5*n(g). Find the second derivative of u(p) wrt p.
266
Let u(w) be the first derivative of 13*w**6 + 589*w**3/3 + 598. Find the third derivative of u(d) wrt d.
4680*d**2
Let r = -8 - 1. Let h(k) = -9*k**3 - 4*k**2 - 20*k. Let q(l) = 18*l**3 + 9*l**2 + 40*l. Let s(i) = r*h(i) - 4*q(i). What is the second derivative of s(y) wrt y?
54*y
Let t(x) = -12*x + 352. Let p be t(28). Let b = -28 - -49. What is the third derivative of -8*n**5 + 25*n**2 - b*n**2 - p*n**2 wrt n?
-480*n**2
Let r(s) be the third derivative of -19/60*s**5 + 0*s**4 + 0*s**3 + 2/105*s**7 + 0*s**6 + 6*s**2 + 0*s + 0. What is the third derivative of r(w) wrt w?
96*w
Let s(d) be the second derivative of 2/3*d**3 + 5*d**2 + 24*d + 0. Differentiate s(c) wrt c.
4
Let c(f) = -561*f + 315. Let u(r) = -187*r + 105. Let t(s) = 4*c(s) - 11*u(s). What is the derivative of t(m) wrt m?
-187
Suppose 0 = 2*l - f - 28, -4*l = -0*l + 3*f - 66. What is the first derivative of -21 - l - 33*n**2 + 4 wrt n?
-66*n
Let c(f) = -f**2 - 5*f + 2. Let s be c(-4). Let y be (s + -7)/(2/(-8)). Find the first derivative of y - 3 + 0*q**2 + 0*q**2 - q**2 wrt q.
-2*q
Let q be 76/57*6/4. Let p(b) be the first derivative of 0*b**3 - 1/5*b**5 + 0*b**4 - b**q + 0*b - 6. Find the second derivative of p(u) wrt u.
-12*u**2
Differentiate 57 - 288*l + 346 + 503 with respect to l.
-288
Suppose 5*t + 8 = 7*t. Find the second derivative of -3*s**2 - 15*s**4 + 3*s**2 - 26*s + 23*s**t wrt s.
96*s**2
Let c = -1 + 4. What is the third derivative of 0*m**4 + c*m**2 - 13*m**2 - m**4 wrt m?
-24*m
Let s(f) = -88*f**2 - 43*f + 6. Let a(q) = -89*q**2 - 47*q + 5. Let n(r) = -6*a(r) + 5*s(r). Find the second derivative of n(m) wrt m.
188
Let c(i) be the third derivative of -53*i**7/105 + 53*i**3/3 - 33*i**2. What is the derivative of c(h) wrt h?
-424*h**3
Suppose 5*z = -4*u, 2*u + 11 = -z - u. What is the third derivative of 7*x + 16*x**2 - 7*x - 13*x**4 - z*x**2 wrt x?
-312*x
Find the second derivative of -4 - 166*v**2 + 3*v**3 - 93*v - 2*v**3 + 258*v**2 wrt v.
6*v + 184
Let t(k) be the first derivative of 13*k**8/56 - 2*k**4/3 - 16*k + 14. Let q(i) be the first derivative of t(i). Find the third derivative of q(x) wrt x.
1560*x**3
Suppose 4*t - 4 = -0. Let m be -4 + t + 1 + 6. Find the second derivative of -u**4 - 6*u + 2*u**2 + 2*u**m - 2*u**2 wrt u.
12*u**2
Suppose -b - 10 = -6. Let y = 0 - b. Differentiate -y + k - 9 + 12 wrt k.
1
Suppose -6 = 3*n + 3*q, -q - 3*q - 8 = 0. Find the third derivative of -15*f**2 + 7*f**2 + 3*f**2 + n*f**2 + 39*f**4 wrt f.
936*f
Differentiate -22229*y + 21749*y + 462 + 23 with respect to y.
-480
Let l(y) be the second derivative of y**6/24 + 11*y**4/12 + 3*y**3/2 + 19*y. Let q(w) be the second derivative of l(w). Differentiate q(f) with respect to f.
30*f
Let c = 12 + -24. Let d = 14 + c. Differentiate -3 + 2 + d + 5*w + 1 wrt w.
5
Let v(r) be the second derivative of r**6/120 + 7*r**4/12 + 8*r**2 + 13*r. Let s(p) be the first derivative of v(p). Find the second derivative of s(y) wrt y.
6*y
Let m be 11/2 - -1*(-3)/(-6). Find the third derivative of 3*h**4 - 3*h**6 + m*h**6 + 0 + 2*h**2 - 7 + 1 wrt h.
360*h**3 + 72*h
What is the second derivative of -w + 6 + 0*w - 30067*w**4 + 30066*w**4 - 103*w**5 + 1 + 30*w wrt w?
-2060*w**3 - 12*w**2
Find the third derivative of -2877 + 2877 + 282*j**4 - 147*j**2 + 886*j**4 - 316*j**4 wrt j.
20448*j
Let h(r) = -222*r**2 + 4*r + 197. Let i(j) = -74*j**2 + j + 66. Let l(c) = -2*h(c) + 7*i(c). Differentiate l(v) with respect to v.
-148*v - 1
Suppose 9*q - 15*q = -828. What is the third derivative of 179*l**4 - q*l**4 - 12*l**2 - 28*l**2 wrt l?
984*l
Let r = 2489/710 - 2/355. Let a(t) be the first derivative of r*t**2 + 2*t + 6. Differentiate a(k) wrt k.
7
Let u be 2/(-8) + 0 + (-939)/(-12). Find the third derivative of 14*h**4 + 78 - u + 30*h**2 wrt h.
336*h
Find the third derivative of 107*o**2 + 827*o**3 + 122*o**2 - 37*o**2 wrt o.
4962
Suppose 0 = -r + 4 - 1. Suppose 5*g - 4*g = r. What is the third derivative of j**3 - 5*j**g - j**2 + j**3 wrt j?
-18
Let y = 110 + -108. Differentiate 6 - 13*x**y + 24*x**3 - 23*x**3 + 11 wrt x.
3*x**2 - 26*x
Let h be (-4)/(-2) - (2 + -4 - 56). What is the first derivative of -13 - 1 - 45*t + h*t wrt t?
15
Fin