8
Let k(o) be the first derivative of -3*o**7/140 - 7*o**6/180 - 2*o**3 + 17. Let u(y) be the third derivative of k(y). Find the third derivative of u(h) wrt h.
-108
Suppose 0 = -2*n - 9 + 11. Let o be ((-2)/3)/(n/(-6)). What is the third derivative of -o*m**3 + 3*m**2 - 8*m**2 - 4*m**3 + m**2 wrt m?
-48
Let j(i) be the second derivative of -i**5/4 - 7*i**4/2 + 372*i**2 + 486*i. What is the derivative of j(w) wrt w?
-15*w**2 - 84*w
Let r = 626/3 + -208. Let o(y) be the second derivative of 0 - 4*y + 0*y**2 - 1/3*y**4 - r*y**3. What is the second derivative of o(q) wrt q?
-8
Let u(z) be the first derivative of 0*z**3 - 10 + 0*z**4 + 0*z**2 + 1/5*z**5 + 2*z. Find the first derivative of u(w) wrt w.
4*w**3
Let s be (-413)/(-49) - 3/7. Let o be (-128)/(-60) - s/60. What is the second derivative of 19*z**2 - z**5 - z - 19*z**o wrt z?
-20*z**3
Let b(i) = 20*i + 4. Let u = 144 - 147. Let l(r) = 6*r + 1. Let d(v) = u*b(v) + 8*l(v). Differentiate d(t) wrt t.
-12
Let x = 83 - 79. What is the third derivative of -16*m**x - 20*m**3 + 20*m**3 + 26*m**2 wrt m?
-384*m
What is the second derivative of -65*j + j**4 - j**4 - 2*j**4 - 22*j**3 wrt j?
-24*j**2 - 132*j
Let s(p) be the second derivative of 38*p**5/5 - 11*p**4/12 + p**2/2 + 32*p + 2. Find the third derivative of s(h) wrt h.
912
Let m(x) be the third derivative of 121*x**7/70 - 18*x**5/5 - 131*x**2. Find the third derivative of m(g) wrt g.
8712*g
Let l(n) be the second derivative of -17*n**6/3 - 212*n**4/3 - 46*n + 7. What is the third derivative of l(t) wrt t?
-4080*t
Let n = -7 - -9. Let x(m) = -m**4 - 5*m**3 + 8. Let j(k) = -k**3 + 0*k**3 + 3*k**3 - 4. Let w(s) = n*x(s) + 5*j(s). Find the first derivative of w(p) wrt p.
-8*p**3
Let w(y) be the first derivative of y**4/3 + 19*y**2 - 10*y + 25. Let b(h) be the first derivative of w(h). Find the first derivative of b(s) wrt s.
8*s
Let s(g) be the second derivative of -8*g**3 - 57*g**2 + g - 1. What is the derivative of s(t) wrt t?
-48
Suppose 0*x + x - 8 = 0. Let c = x - 3. Find the first derivative of -2*d**4 - 5*d**4 + c + 6*d**4 wrt d.
-4*d**3
What is the third derivative of 2*f**5 - 113*f**2 + 8437*f**6 - 8388*f**6 + 5*f - 3*f wrt f?
5880*f**3 + 120*f**2
Let t = 13 - 8. Let c(g) = -7*g**2 + 12*g. Let f(p) = 13*p**2 - 337 + 337 - 25*p. Let h(y) = t*c(y) + 2*f(y). What is the second derivative of h(x) wrt x?
-18
What is the derivative of 148*f + 383 - 514*f - 145 - 2*f**4 + 84 wrt f?
-8*f**3 - 366
Let a(h) = -22*h**4 - 3*h. Suppose t = 5*t - 12. Let i(g) = 21*g**4 + 2*g + 1. Let y(o) = t*i(o) + 2*a(o). Differentiate y(d) with respect to d.
76*d**3
Let i(q) = q**2 + 9*q + 20. Let m be i(-6). Find the third derivative of -14*x**2 - x**2 + 16*x**5 + 6*x**m - 18*x**2 wrt x.
960*x**2
Let g(h) be the second derivative of 5*h**6/3 + 101*h**2/2 + 5*h - 2. Differentiate g(l) with respect to l.
200*l**3
Let r(n) be the second derivative of 3*n + 0*n**3 + 11/12*n**4 + 0 - 11/2*n**2. Find the first derivative of r(m) wrt m.
22*m
Let t(y) = -23*y**4 - 2*y**3 + 3*y - 97. Let a(v) = -23*v**4 - 3*v**3 + 2*v - 99. Let k(f) = -3*a(f) + 2*t(f). Differentiate k(u) wrt u.
92*u**3 + 15*u**2
Let i(f) = 172*f**2 + 24*f + 677. Let j(c) = -344*c**2 - 54*c - 1355. Let a(r) = 9*i(r) + 4*j(r). Differentiate a(d) wrt d.
344*d
Suppose -p = -0*p. Suppose p = -4*u, g + 5*u - 8 + 3 = 0. What is the first derivative of -g*n + 2 + 4*n - n wrt n?
-2
Let t(b) = -10*b**3 + b - 137. Let a(d) = -20*d**3 + 2*d - 274. Let w(r) = -3*a(r) + 5*t(r). Differentiate w(g) wrt g.
30*g**2 - 1
Suppose 4*d - 18 = 3*n, 1 = -d - 3*n + 13. Suppose -1 = s - 2*s. Differentiate -d*w**3 + s - 50*w + 50*w wrt w.
-18*w**2
Let b(t) = 95*t**2 + 101*t - 5. Let f(i) = -i**2 - 1. Let y(l) = b(l) - 5*f(l). What is the second derivative of y(q) wrt q?
200
Let n(q) be the second derivative of -q**5/10 - 4*q**4/3 + 71*q**3/6 - 42*q. What is the second derivative of n(x) wrt x?
-12*x - 32
Let a(q) be the second derivative of 79*q**4/6 + q**3/3 + 93*q**2/2 - 131*q. What is the second derivative of a(o) wrt o?
316
Let t = -1229 - -1233. Let r(b) be the second derivative of 0*b**3 - 1/3*b**6 + 0 + 0*b**t + 9*b - 3*b**2 + 0*b**5. Find the first derivative of r(a) wrt a.
-40*a**3
Let x(u) = 66*u**3 - 11*u**2 + 5*u - 141. Let y(a) = -33*a**3 + 5*a**2 - 2*a + 71. Let f(i) = -2*x(i) - 5*y(i). What is the derivative of f(o) wrt o?
99*o**2 - 6*o
Let i(m) = -491*m**2 + 12*m - 72. Let w(s) = 123*s**2 - 3*s + 17. Let b(z) = -2*i(z) - 9*w(z). What is the second derivative of b(q) wrt q?
-250
Let b = 3 - -7. Let c(n) = n - 4. Let m be c(b). Find the first derivative of 12*y - 4 + m - 12*y - 5*y**2 wrt y.
-10*y
Let g(h) be the second derivative of -343*h**5/20 + h**3/6 + 6*h**2 - 134*h + 3. What is the second derivative of g(v) wrt v?
-2058*v
Let v(o) be the first derivative of 407*o**2/2 - 308*o - 324. What is the first derivative of v(x) wrt x?
407
Let d(a) be the first derivative of 215*a**6/2 - 359*a**3/3 - 66. What is the third derivative of d(n) wrt n?
38700*n**2
Let m(a) = -a**2 + 8*a - 5. Let k be m(8). Let l(w) = w**2 + 4*w - 2. Let g be l(k). Find the second derivative of 2*o**g + o**3 + 0*o**3 + 4*o - 5*o**3 wrt o.
-12*o
Let r be (-8)/52 + 2/13. Suppose d + r*y = 4*y + 27, -3*y = 5*d - 20. Find the second derivative of z**2 - d*z + 2*z + z**2 wrt z.
4
Let y(k) be the third derivative of 0*k**5 + 0*k - 17/60*k**6 - 20/3*k**3 + 0 + 23*k**2 + 0*k**4. What is the first derivative of y(a) wrt a?
-102*a**2
Suppose -715 + 263 = -2*x. What is the second derivative of 32*b**2 - x*b + 407*b - 217*b wrt b?
64
Let n be ((-105)/10)/((-2)/4). Suppose -3*u - g = -3, 3*u - g - 4*g - n = 0. Find the first derivative of u*l + 3 - 2*l + 3*l + 0*l wrt l.
3
Let j(x) be the second derivative of -x**6/8 - x**5/4 - x**2 - 7*x. Let z(t) be the first derivative of j(t). Find the third derivative of z(m) wrt m.
-90
Find the second derivative of -5*k + 7*k**3 + 6*k - k - k wrt k.
42*k
Differentiate 8618*k**4 + 47 - 8620*k**4 - 3*k - 370 + 12*k with respect to k.
-8*k**3 + 9
Let f be (-78)/(-10) - 2/(-10). What is the third derivative of 23*k**2 - 24*k**2 - f*k**4 - 9*k**2 + 18*k**4 wrt k?
240*k
Suppose -4*z = -6 - 10. What is the third derivative of -65 + 27*p**2 - z*p**3 + 65 - 4*p**3 wrt p?
-48
Suppose d - 6 = -z, -2*z - z - 2*d = -18. Let p = z - 1. What is the second derivative of 2*o + 8*o**3 + 5*o**3 - p*o - 8*o**3 wrt o?
30*o
Find the third derivative of 98*m**3 - 78*m**3 + 59*m**3 + 43*m**3 + 76*m**3 - 71*m**2 wrt m.
1188
Let i(w) = 325*w**2 + w + 622. Let s(y) = -651*y**2 - 3*y - 1244. Let o(z) = -5*i(z) - 2*s(z). Find the second derivative of o(h) wrt h.
-646
Let b(k) be the second derivative of 0*k**2 + 0 + 0*k**4 + 0*k**5 + 3/14*k**7 + 0*k**6 - 12*k - 1/3*k**3. Find the second derivative of b(w) wrt w.
180*w**3
What is the second derivative of -1499*w**5 + 5 + 167*w**3 + 748*w**5 + 749*w**5 - 6*w wrt w?
-40*w**3 + 1002*w
Let g be 13/((-234)/96) + 6. Let u(v) be the first derivative of 7*v - g*v**3 + 2 + 0*v**2. What is the derivative of u(q) wrt q?
-4*q
Let f(m) be the third derivative of -5*m**2 + 1/2*m**4 + 0 + 6*m**3 + 0*m. Find the first derivative of f(v) wrt v.
12
Let h(b) be the first derivative of 89*b**2/2 + 31*b - 13. What is the first derivative of h(f) wrt f?
89
Let w(j) be the second derivative of 37*j**4/3 - 4*j**3/3 - 7*j**2/2 - 73*j. Find the second derivative of w(v) wrt v.
296
Let m(j) be the third derivative of 7*j**6/60 - 5*j**4/6 + 365*j**3/6 - 9*j**2 + 2. What is the first derivative of m(k) wrt k?
42*k**2 - 20
Let b(y) = -2*y - 2. Let s be b(-9). Let j = 20 - s. Differentiate -j - 4*w**2 - 4 + 4 wrt w.
-8*w
Let l(d) = -116*d**2 - 101*d. Let t(m) = -232*m**2 - 200*m. Let f(z) = 11*l(z) - 6*t(z). What is the second derivative of f(s) wrt s?
232
Let f(z) be the second derivative of -z**5/10 - 31*z**4/12 + 10*z**3/3 - z**2/2 + z + 7. Find the second derivative of f(t) wrt t.
-12*t - 62
Let a(u) = u**3 - 5*u**2 - 7*u + 8. Let w be a(6). Suppose 6 = w*p + p. Find the third derivative of -4*l**2 + 6*l**5 + 4*l**5 - 4*l**5 + l**p wrt l.
360*l**2
Let v(w) = -6*w - 1. Let x(c) = c**2 + 25*c + 4. Let g(h) = -9*v(h) - 2*x(h). What is the first derivative of g(i) wrt i?
-4*i + 4
Let s = 1235 - 1231. Let p(l) be the first deriv