2*d
Let p(m) be the third derivative of 11*m**6/40 - m**5/30 - m**4/6 - m**3/3 - 5*m**2 - 7. What is the second derivative of p(j) wrt j?
198*j - 4
Find the second derivative of -8 - 20*u**5 - 60 + 68 + 66*u wrt u.
-400*u**3
Suppose 2*j - j = -4*n + 72, 0 = -n - 3*j + 29. What is the second derivative of 9*i - n*i**2 - 7*i + 0*i wrt i?
-34
Let f(n) = -2*n**2 + 2. Let u be f(0). Let c(h) be the second derivative of 0 + 0*h**3 + h**2 + 1/3*h**4 - u*h. What is the derivative of c(o) wrt o?
8*o
Let s(m) = -m**3 + 9*m**2 - 14*m + 3. Let o be s(7). Find the third derivative of 25*t**2 + t**o + 0*t**3 - 23*t**2 wrt t.
6
Let t(c) be the third derivative of c**6/120 - 23*c**4/6 - 7*c**3 - 27*c**2. What is the first derivative of t(i) wrt i?
3*i**2 - 92
Let p(z) be the second derivative of -17*z**2 + 0 - 11/3*z**3 + 20*z. Differentiate p(n) wrt n.
-22
Let g(p) be the third derivative of -241*p**5/60 - 545*p**4/24 + 312*p**2 - 2*p. Find the second derivative of g(u) wrt u.
-482
Let d(q) = -q**3 - 24*q**2 - 2*q - 10. Let t(w) = w**3 + w. Let b(p) = -d(p) - 2*t(p). Differentiate b(u) wrt u.
-3*u**2 + 48*u
Suppose -2*g + 14 = -12. Find the second derivative of 13*x**3 - g*x - 31*x**3 + 12*x**3 wrt x.
-36*x
Let v(y) be the second derivative of y**8/28 - 43*y**7/42 + 103*y**4/12 + y**3/6 - 2*y + 12. Find the third derivative of v(w) wrt w.
240*w**3 - 2580*w**2
Suppose 2*m - 4 = -0*m. Let t be 4 - (0 + (4 - m)). Find the third derivative of -4*j**3 + 2*j**2 - 7*j**2 + 8*j**3 - t*j**3 wrt j.
12
Find the third derivative of 1810 + 10*m**4 - 896 - 882 + 2*m**2 - m**3 wrt m.
240*m - 6
Let p(i) = -i - 4*i**2 + 0*i + 6*i**2 - 3*i**2. Let r(l) = 3*l**2 + 4*l + 38. Let m(w) = -2*p(w) - r(w). What is the derivative of m(x) wrt x?
-2*x - 2
Let z(p) = 83*p**4 + 2*p**3 + 3*p + 9. Let g(m) = 248*m**4 + 7*m**3 + 10*m + 28. Let i(a) = -2*g(a) + 7*z(a). What is the second derivative of i(d) wrt d?
1020*d**2
Let i(f) be the second derivative of 0 + 0*f**3 + 0*f**6 + 0*f**2 + 1/28*f**8 - 4/3*f**4 + 8*f + 0*f**7 + 0*f**5. What is the third derivative of i(q) wrt q?
240*q**3
Suppose -m + 4*s = -25 + 4, 0 = 3*m + 5*s + 22. Suppose m = 5*b - 14. What is the third derivative of 5*f**2 + 10*f**b - 5*f**3 - 3*f**2 wrt f?
30
Let t(a) be the second derivative of 0*a**5 + 0*a**4 + 2/3*a**6 + 0 + 0*a**2 - 8*a + 7/6*a**3. Find the second derivative of t(z) wrt z.
240*z**2
Let v(d) = d**2 + 9*d + 7. Let b be v(-9). Let o = 10 - b. Find the second derivative of 3*t**3 + t**o - 5*t**3 - t wrt t.
-6*t
Let y be -41 + (2 + 2 - 2). Let h = -36 - y. Differentiate -4*n**h - 2 + 42*n - 42*n wrt n.
-12*n**2
Let j(m) be the third derivative of -391*m**5/60 - 9*m**4 - 8*m**2. What is the second derivative of j(s) wrt s?
-782
Let n(t) be the third derivative of -259*t**5/30 + 321*t**3/2 - 20*t**2. What is the derivative of n(d) wrt d?
-1036*d
Let b(c) be the third derivative of 58*c**5/15 + 94*c**3/3 - 24*c**2 - 4*c. What is the derivative of b(a) wrt a?
464*a
What is the third derivative of -m + 18*m**6 - 134*m**2 + 178*m**2 + 5*m**5 - 7*m**5 wrt m?
2160*m**3 - 120*m**2
Let y(b) be the second derivative of -2/21*b**7 + 0 + 0*b**2 - 1/10*b**6 + 0*b**3 + 0*b**5 + 3*b**4 - 36*b. Find the third derivative of y(r) wrt r.
-240*r**2 - 72*r
Let n = 49 + -47. What is the second derivative of 6*b + 9*b**3 + 11 - 13 - 12*b + 4*b**n wrt b?
54*b + 8
What is the first derivative of -420*v**3 + 154*v**3 + v**3 - 518*v**3 - 993 wrt v?
-2349*v**2
Let u(x) = 2*x**2 - x - 1. Let f(q) = -57*q**2 + 4*q - 2. Let y(k) = -f(k) - 4*u(k). What is the derivative of y(o) wrt o?
98*o
What is the first derivative of 146 + 111*k + 26*k + 150*k wrt k?
287
Suppose 0 = -2*a + 6*a - 3*q - 153, a - 43 = -4*q. What is the second derivative of -a - 10*y**4 + 21*y + 39 wrt y?
-120*y**2
Let b(v) be the first derivative of 12*v**6 - 403*v**3/3 + 208. Find the third derivative of b(h) wrt h.
4320*h**2
Let q(y) be the second derivative of -y**7/42 - 3*y**5/2 - y**4/6 + 13*y**3/6 - 135*y. What is the third derivative of q(g) wrt g?
-60*g**2 - 180
Let o(w) = 12*w + 34. Let h be o(0). What is the third derivative of -2*x**2 + x**3 + 5*x**4 + 4*x**2 + h*x - 52*x + 22*x wrt x?
120*x + 6
Find the third derivative of -67*t**3 - t + 366*t**2 - 3 + 44 - 2*t**4 - 41 wrt t.
-48*t - 402
Let h(z) = 2. Let x(m) = -64*m + 311. Let v(a) = -6*h(a) + x(a). Find the first derivative of v(q) wrt q.
-64
Let v(g) be the first derivative of -g**6/15 + 7*g**4/12 - 31*g**3/3 - 13. Let r(y) be the third derivative of v(y). What is the first derivative of r(b) wrt b?
-48*b
What is the third derivative of 9317*j**3 - 166*j**2 + 16*j**5 - 20*j**5 - 9318*j**3 wrt j?
-240*j**2 - 6
Let s(c) be the first derivative of c**9/42 - 7*c**5/30 - c**2/2 - 12. Let k(h) be the second derivative of s(h). What is the third derivative of k(p) wrt p?
1440*p**3
Let h(j) = -1. Let a(k) = 10*k - 6*k - 4*k - 10*k**4 + 3. Let l(c) = a(c) - 6*h(c). What is the first derivative of l(n) wrt n?
-40*n**3
Find the third derivative of 3379 - 3381 + 3*q**5 + 48*q**5 - 20*q**2 wrt q.
3060*q**2
What is the third derivative of -23*j + 3*j**2 + 0 - 4*j**2 + 13*j**4 + 0 - 2*j**5 wrt j?
-120*j**2 + 312*j
Let l(i) be the third derivative of -73*i**6/120 - 5*i**4/24 - 7*i**3/3 + i**2 + 44. What is the second derivative of l(w) wrt w?
-438*w
Let o(y) be the second derivative of 183*y**5/20 - 607*y**2/2 + y - 244. Differentiate o(x) with respect to x.
549*x**2
Let t(s) be the second derivative of -179*s**6/15 - 5*s**4/12 - 7*s**3/2 - 139*s. Find the third derivative of t(c) wrt c.
-8592*c
Find the second derivative of 13253*r**2 - 52 - 13356*r**2 + r + r wrt r.
-206
Let d(w) = -806*w**3 - w**2 + 5. Let i(c) = -4*c**2 + 1. Let g(z) = -d(z) - 4*i(z). Find the third derivative of g(n) wrt n.
4836
Let x(y) = -y**2 + 8*y + 86. Let o be x(-6). Let l(s) be the first derivative of 0*s + 2*s**o - 4/3*s**3 + 8. What is the second derivative of l(j) wrt j?
-8
Let f(h) = 13*h**4 - h**3 - 9*h**2 - 31*h + 10. Let d(n) = n**2 + 2*n - 1. Let a(p) = 18*d(p) + 2*f(p). Find the second derivative of a(u) wrt u.
312*u**2 - 12*u
Let x(k) be the first derivative of -39*k**4/4 + 41*k**3/3 + 2*k - 11. Let d(h) = -1. Let s(t) = -2*d(t) - x(t). Find the third derivative of s(j) wrt j.
234
Let f(j) = -11*j**2 + 17*j - 336. Let o(g) = -3*g**2 + 4*g - 84. Let k(b) = -2*f(b) + 9*o(b). What is the derivative of k(c) wrt c?
-10*c + 2
Let p(r) be the third derivative of 0 + 0*r - 13/2*r**3 - 23*r**2 - 1/24*r**4 + 0*r**5 + 0*r**6 + 1/10*r**7. Differentiate p(k) with respect to k.
84*k**3 - 1
Let r(p) = -3*p**3 - 8*p**2 - p + 158. Let f(u) = -2*u**3 - 6*u**2 - 2*u + 157. Let g(s) = -4*f(s) + 3*r(s). Find the first derivative of g(t) wrt t.
-3*t**2 + 5
Let q(c) = c - 2. Let r be q(6). Let y be (-6)/r*(-12)/18. What is the derivative of 0 + y - 4*l + 4 wrt l?
-4
Let k be 3*1/3 - 1. Suppose -5*j - 18 + 33 = k. Differentiate -3*u**3 - 2 - 5*u**3 + 2*u**j wrt u.
-18*u**2
Let c(t) = t**5 + t**3 + t**2 - t. Let m(x) = -15*x**5 - 5*x**4 + x**3 + 75*x**2 - x. Let a(f) = c(f) - m(f). Find the third derivative of a(b) wrt b.
960*b**2 + 120*b
Let j(t) = -t + 13. Let b be j(11). Suppose -2*p = -4*u + 10 + 4, 0 = -5*p + 5. Find the second derivative of -3*l**2 + u*l**b + 8*l + 5*l**2 wrt l.
12
Let w(q) = -610*q - 81. Let p(k) = 609*k + 79. Let i(u) = -2*p(u) - 3*w(u). Differentiate i(x) with respect to x.
612
Let l = -59 - -59. What is the second derivative of l*k - k - 40*k**3 + 9*k + 0*k wrt k?
-240*k
Suppose 3*g + 35 = 4*c, 4*g - 24 + 68 = 5*c. Let t = -4 + c. Find the third derivative of 4*w**t - 7*w**2 - w**2 + 3*w**4 wrt w.
168*w
Let j(g) be the second derivative of 19*g**5/20 - 87*g**2 + 2*g + 3. Differentiate j(w) with respect to w.
57*w**2
Let m be ((-3)/4)/(21/(-84)). Suppose 3*w = 2*w - 2*d - 8, -4*w - d = -m. Find the third derivative of -8*b**4 - 3*b**4 + 10*b**w + 5*b**4 wrt b.
-144*b
Let c be 0/((1 - 5) + -2). Let g(i) be the second derivative of -5*i + c*i**4 + 0*i**3 + 0*i**5 + 0 + 3/2*i**2 - 1/10*i**6. Differentiate g(j) wrt j.
-12*j**3
Let f(q) = 6*q**3 - 34*q**2 + 4*q - 265. Let d(t) = -7*t**3 + 33*t**2 - 6*t + 266. Let p(n) = -2*d(n) - 3*f(n). Differentiate p(a) with respect to a.
-12*a**2 + 72*a
Differentiate -24*u**2 + u**4 + 54*u**2