- d(q). What is the first derivative of x(h) wrt h?
7
Let b(v) = -v**3 + 6*v**2 + 3*v - 12. Let w be b(6). Suppose -d + w*d = 65. What is the first derivative of -d + 3*k**2 + 12 - 3*k**2 - 3*k**4 wrt k?
-12*k**3
Let l(z) be the first derivative of 51*z**5/5 + 10*z**3/3 - 5*z + 30. What is the third derivative of l(n) wrt n?
1224*n
Let q(b) = 253*b**3 - 9*b**2 + 445*b + 5. Let o(u) = -127*u**3 + 4*u**2 - 222*u - 2. Let p(j) = -5*o(j) - 2*q(j). What is the second derivative of p(l) wrt l?
774*l - 4
Differentiate -77*p**2 + 46 + 69*p**2 + 93 - p**3 + 0*p**3 wrt p.
-3*p**2 - 16*p
Let x = -13 - -14. Suppose 5*r = 9 + x. Find the third derivative of -31*k + 3*k**r + 18*k + 13*k + 5*k**3 wrt k.
30
Let x(u) be the third derivative of -u**6/30 - 7*u**5/15 + 223*u**4/24 - 18*u**2 - 4. What is the second derivative of x(b) wrt b?
-24*b - 56
Let a = 67 - 47. Let u be 2*(-1 - a/(-8)). Find the third derivative of -4*v**3 + 29*v**2 - 33*v**2 - 4*v**u wrt v.
-48
Let a = 14 + -11. Find the second derivative of -7*f**4 + 4*f**4 - f**4 - a*f + 8*f wrt f.
-48*f**2
Let k(o) be the third derivative of -119*o**6/60 - 3*o**5/5 - 36*o**2 + 6. Find the third derivative of k(t) wrt t.
-1428
Let b(z) be the third derivative of -17*z**5/60 + 145*z**3/3 + z**2 + 31*z. Find the first derivative of b(l) wrt l.
-34*l
Let g(i) = -8*i**3 - 65*i**2 - 189*i - 16. Let v(r) = 7*r**3 + 66*r**2 + 189*r + 12. Let f(k) = -3*g(k) - 4*v(k). What is the second derivative of f(j) wrt j?
-24*j - 138
Let x(g) be the third derivative of -169*g**7/210 - 25*g**5/12 - 109*g**2. Find the third derivative of x(q) wrt q.
-4056*q
Suppose -k = -5*m + 2*m + 9, 5*m = 5*k + 15. What is the second derivative of -10*h**3 - 18*h - 26*h**m - 36*h**2 + 36*h**2 wrt h?
-216*h
Find the second derivative of -488*i**3 + i**2 + 6*i + 510*i - 14*i**2 + 474*i**3 wrt i.
-84*i - 26
Suppose 18 = -p + 4*j - 8*j, 24 = -2*p - 5*j. Let x be ((-3)/(-2))/(p/(-8)). What is the third derivative of -w**6 - 2*w**x - w**2 + 2*w**6 wrt w?
-120*w**3
Let k(r) be the third derivative of -89*r**7/210 - 169*r**4/12 - r**2 - 85. Find the second derivative of k(j) wrt j.
-1068*j**2
Let y(v) be the second derivative of -113*v**4/12 + 115*v**2 - 87*v + 1. What is the first derivative of y(z) wrt z?
-226*z
What is the third derivative of -189*s**3 - s**6 + 35*s**2 + 2*s + 189*s**3 + 38*s**6 wrt s?
4440*s**3
Let j(y) be the first derivative of 0*y**2 + 52 + 1/3*y**3 - 21/5*y**5 - 3*y + 0*y**4. Find the first derivative of j(u) wrt u.
-84*u**3 + 2*u
Find the second derivative of 2*f**3 + 71 + 49*f - 69 - 3*f**3 - 8*f**3 wrt f.
-54*f
Find the first derivative of 2*f**2 - 63*f**4 - 23 + 35 - 10 wrt f.
-252*f**3 + 4*f
Let p(a) be the first derivative of -54*a**5 - 275*a**2/2 + 4. What is the second derivative of p(u) wrt u?
-3240*u**2
Find the third derivative of -287*n**2 - 105*n**3 + 0*n**3 + 140*n**2 wrt n.
-630
Let t(x) be the second derivative of 11*x**6/3 + x**5/10 - 51*x**4/2 + 3*x + 17. Find the third derivative of t(d) wrt d.
2640*d + 12
Let s(i) = 413*i**4 - 6*i**3 + 8*i**2 - 6*i + 534. Let j(w) = -w**4 - w**3 + w**2 - w - 2. Let x(m) = -6*j(m) + s(m). Find the first derivative of x(g) wrt g.
1676*g**3 + 4*g
Let x(b) = -2*b**3 - 5*b**2 - 3*b + 2. Let g be x(-2). Find the second derivative of 29*z - 3*z**4 - 7*z**4 - 27*z**g wrt z.
-444*z**2
Let f(g) = -95*g**3 + 7*g**2 - 10*g + 1. Let o(z) = -476*z**3 + 34*z**2 - 55*z + 6. Let c(r) = -11*f(r) + 2*o(r). What is the third derivative of c(q) wrt q?
558
Let j(l) = 2*l**4 + 2*l**3 - l + 2. Let n(a) = -350*a**4 - 10*a**3 + 5*a + 115. Let r(y) = -5*j(y) - n(y). Find the first derivative of r(i) wrt i.
1360*i**3
Let l(x) = -1 + 3*x**2 - 3 + 5*x - x**3 - x**2. Let s be l(3). What is the derivative of -5 + 2 + s - 9*b - 3 wrt b?
-9
Let k be (-1)/(-3) + 10/6. Find the second derivative of -2*g**k + g**2 + 8*g - 2*g - 4*g**2 wrt g.
-10
Let n = 170/3 + -3379/60. Let k(b) be the second derivative of 0 - 5*b**2 + 0*b**3 - b + n*b**5 + 0*b**4. What is the derivative of k(c) wrt c?
21*c**2
Let s(w) be the second derivative of -2*w + 0*w**4 - 11/6*w**3 + 1/10*w**5 + 0 + 0*w**2. Find the second derivative of s(m) wrt m.
12*m
Differentiate -11 - 7 + 1 - 18 + 97*j**2 wrt j.
194*j
Let j(n) = -n**3 + 6*n**2 - 5*n - 9. Let q be j(4). Differentiate -5*p**3 + 25 + 5*p**q + 6*p**4 - 21*p**4 wrt p.
-60*p**3
Let z(m) be the second derivative of m**9/252 + 3*m**5/20 - 7*m**2 - 13*m. Let s(d) be the first derivative of z(d). What is the third derivative of s(c) wrt c?
240*c**3
Let k(x) be the second derivative of -9/2*x**3 + 2*x**2 + 10*x + 0. Differentiate k(d) with respect to d.
-27
Let b(p) be the first derivative of p**6/5 + 11*p**3/6 + 9*p + 4. Let c(j) be the first derivative of b(j). Find the second derivative of c(n) wrt n.
72*n**2
What is the third derivative of 10*f**2 - 11*f**2 + 48*f**3 + 38*f - 25*f**3 wrt f?
138
Find the third derivative of 41*t**2 - 38*t**2 - 2*t**4 - 12*t**6 - 11 + 8*t**4 - 13 wrt t.
-1440*t**3 + 144*t
Let y be -3 + (6 - 4) - -12. What is the derivative of 16 - 3*w**3 + y*w**2 - 11*w**2 wrt w?
-9*w**2
Let x be 3*((3 + -2)*2)/2. What is the third derivative of -244*n**x - 23*n**2 + 244*n**3 + 2*n**4 wrt n?
48*n
Let j(g) = -330*g + 9. Let v be j(-1). Find the third derivative of 26*d**4 + 339*d - v*d - 26*d**2 wrt d.
624*d
Let w(h) = -h**5 - h**4 + h**2 - h + 1. Let o(l) = -16*l**5 + 4*l**4 + 182*l**2 + 2*l - 2. Let s(r) = o(r) + 2*w(r). What is the third derivative of s(p) wrt p?
-1080*p**2 + 48*p
Let q(o) be the second derivative of o - 8/21*o**7 + 2*o**3 + 0*o**2 + 0*o**4 + 0*o**6 + 0 + 0*o**5. Find the second derivative of q(l) wrt l.
-320*l**3
Let q(d) be the first derivative of -4*d**7/21 + 11*d**3/3 + 5*d**2/2 + 27. Let x(p) be the second derivative of q(p). Find the first derivative of x(m) wrt m.
-160*m**3
Suppose -4*b + 3*d = -77, 2*b - 28 = -3*d + 15. Suppose 3*v = 5*v - 6, -5*a = -v - 152. Differentiate 8*k**4 - 1 + a - b with respect to k.
32*k**3
What is the derivative of 424 + 128*f**3 - 64*f**3 - 64*f**3 - 20 - 515*f**4 wrt f?
-2060*f**3
Let s(d) = 0 - 8*d**2 + 1 - 9*d - 3 - 4. Let f(j) = j**2 + j - 1. Let w(n) = 6*f(n) - s(n). What is the second derivative of w(k) wrt k?
28
Let m = 13 - 1. Suppose -2*z = 2*z - m. What is the second derivative of 4*i + 2*i - 18*i**z + 27*i**3 wrt i?
54*i
Suppose -50 = -5*j - 5*b, 2*j = 4*b - 2*b + 28. Suppose 0 = -w + 4*w - j. What is the first derivative of 0*l + 7 - 3*l + w*l + 8*l wrt l?
9
Let i(a) be the third derivative of 52*a**6/15 + 33*a**3/2 + 96*a**2 - 2*a. What is the first derivative of i(v) wrt v?
1248*v**2
Suppose -3*h + 46 - 163 = 0. Let s = -27 - h. Differentiate s*b**4 - 17 + 5 - 10*b**4 with respect to b.
8*b**3
Let h = 35 + -24. What is the first derivative of -h - 3*t**2 - 8*t**2 - 4*t**2 wrt t?
-30*t
Let p(s) be the second derivative of 3/5*s**5 + 0 + 7*s + 0*s**3 + 0*s**4 + 6*s**2. Differentiate p(w) with respect to w.
36*w**2
Let u(g) be the first derivative of -114*g**2 - 284*g + 63. Find the first derivative of u(k) wrt k.
-228
Let x = -152 + 156. Find the second derivative of -10*k**2 + x*k**2 - 12*k - 8*k wrt k.
-12
Let j(k) be the first derivative of k**6/2 - 43*k**5/5 + 61*k**2/2 + k + 234. Find the second derivative of j(v) wrt v.
60*v**3 - 516*v**2
Let u(o) be the second derivative of -o**3/6 + o**2/2 + o. Let i(w) = 6*w - 5. Let p(c) = i(c) + u(c). Differentiate p(g) with respect to g.
5
Let u(b) be the first derivative of 53*b**3/3 - 150*b - 632. Find the first derivative of u(g) wrt g.
106*g
What is the third derivative of 124*j**2 - 199*j**3 + 55*j**2 + 353*j**3 + 390*j**3 wrt j?
3264
Let w(x) be the second derivative of -2*x**6/15 - 31*x**5/20 + 11*x**3/6 - 5*x**2 + 9*x + 18. What is the second derivative of w(i) wrt i?
-48*i**2 - 186*i
Let b(w) = -415*w**2 - 70. Let c(k) = 208*k**2 + 32. Let s(n) = 3*b(n) + 7*c(n). Differentiate s(x) wrt x.
422*x
Find the first derivative of 25 - 1 - 2*h**4 - 27*h + 56 wrt h.
-8*h**3 - 27
Let d = -20 + 18. Let j(h) = -4*h - 5. Let b be j(d). What is the third derivative of 7*v**5 - b*v**2 - 2*v**3 + v**3 + v**3 wrt v?
420*v**2
Let h(m) = -5*m - 16. Let d be h(-4). Find the third derivative of 249*u**3 - 11*u**d - 249*u**3 + 43*u**4 + 28*u**2 wrt u.
768*u
Let m