x?
-900*x**3
Let t be (6 + -10)/(5 - 6). Let d(w) be the second derivative of -4/15*w**6 + 0*w**3 + 0*w**5 + 2*w**2 + 0 + 0*w**t + 8*w. Differentiate d(c) wrt c.
-32*c**3
Let s(i) be the third derivative of 19*i**6/20 - i**5/30 - 13*i**4/24 + 140*i**2. What is the third derivative of s(c) wrt c?
684
What is the derivative of 32 + 2*f - 63 - 73 + f**2 + 4*f**2 wrt f?
10*f + 2
What is the third derivative of 436*i**4 + 370*i**4 + 92*i**2 - 884*i**4 - 4 + 3 wrt i?
-1872*i
Suppose 5*a - 4*g = 485, -g + 485 = 5*a + g. Find the third derivative of -35*v**2 - 66*v**4 + a*v**4 - 62*v**4 wrt v.
-744*v
Let t(f) be the second derivative of f**6/30 + 29*f**5/5 + 5*f**4/6 - f**3 - f - 217. Find the third derivative of t(b) wrt b.
24*b + 696
Let v(x) be the first derivative of 5*x**6/3 + 4*x**5/5 + x**2 - x - 112. What is the second derivative of v(f) wrt f?
200*f**3 + 48*f**2
Let u be -7 - (-5 + 60/(-18)). Let v(b) be the first derivative of 0*b**2 + u*b**3 + 4 + 4*b. Differentiate v(a) with respect to a.
8*a
Suppose 4*w - 10 = 6. Find the third derivative of 4*h**w - 3*h**2 - 24*h**2 - 13*h**4 + 3*h**2 wrt h.
-216*h
Let y(m) be the third derivative of 17*m**5/15 + 56*m**3 + 2*m**2 - 94*m. Differentiate y(a) wrt a.
136*a
Suppose -16*q + 41 = 9. Let d(k) be the third derivative of 0*k + 0 + 0*k**4 + 1/60*k**5 + 5*k**q - 5/6*k**3. Differentiate d(j) wrt j.
2*j
Let s(d) be the third derivative of 0*d**5 - 17/6*d**3 + 0*d**4 + 0*d + 16*d**2 + 0*d**6 + 0 - 1/10*d**7. What is the derivative of s(w) wrt w?
-84*w**3
Suppose 2 = -b, -y + b = 2*y - 14. Find the second derivative of 4*d - 366*d**4 + 368*d**y + 14*d wrt d.
24*d**2
Let h(w) = -23*w**2 + 14*w. Let c(u) = -23*u**2 + 14*u. Let q(m) = 3*c(m) - 4*h(m). Find the second derivative of q(x) wrt x.
46
Let b(x) be the second derivative of -x**8/56 + x**7/42 - 99*x**4/4 + 135*x + 2. What is the third derivative of b(o) wrt o?
-120*o**3 + 60*o**2
Let x be 0/(-3 + 2 + 2). Suppose -s + 0*s + 3 = 4*g, x = -5*s - 3*g + 15. What is the second derivative of 9*j**3 - 7*j**s - 3*j + 2*j**3 + 0*j wrt j?
24*j
Let r(t) be the third derivative of 0*t + 0*t**5 + 9/8*t**4 + 0 + 1/84*t**8 + 0*t**3 + 23*t**2 + 0*t**6 + 0*t**7. What is the second derivative of r(k) wrt k?
80*k**3
Let s(q) be the first derivative of -149*q**4/2 + 251*q - 615. Differentiate s(g) with respect to g.
-894*g**2
Let t be ((-132)/(-48))/((-2)/8). Let d = 14 + t. What is the second derivative of -68*v**3 + 64*v**d + 1 - 1 - v wrt v?
-24*v
Suppose 2*f - 36 = -0*f. Suppose g = 4*g - 4*q - f, -5*g - 2*q = -4. Find the second derivative of 3*o + 82*o**g - 84*o**2 + 3*o wrt o.
-4
Let d(j) be the second derivative of 2*j**7/21 + 5*j**6/2 - 77*j**3/2 - 3*j - 172. What is the second derivative of d(q) wrt q?
80*q**3 + 900*q**2
Suppose -3*j = -2*c - 65, -c - 2*c + 6 = 0. What is the second derivative of -31*y**2 + 13*y - 11*y**2 + 7*y + j*y**2 wrt y?
-38
Let y(b) = -124*b**3 - 3*b**2 + 690*b - 3. Let o(h) = -125*h**3 - 2*h**2 + 689*h - 2. Let j(k) = -3*o(k) + 2*y(k). What is the second derivative of j(n) wrt n?
762*n
Let m(a) = 100*a**2 - 66*a + 9. Let s(w) = 34*w**2 - 22*w + 3. Let c(z) = 2*m(z) - 7*s(z). What is the second derivative of c(i) wrt i?
-76
Let z(l) be the third derivative of 0 - 15*l**2 - 1/168*l**8 + 0*l**4 + 0*l**3 + 0*l**7 + 31/60*l**5 + 0*l**6 + 0*l. Find the third derivative of z(x) wrt x.
-120*x**2
Let w(o) be the second derivative of 49*o**4/12 + 25*o**3/3 + 3*o - 10. What is the second derivative of w(q) wrt q?
98
Let a(l) be the first derivative of -l**9/1512 - l**6/45 - 5*l**3 + 34. Let w(c) be the third derivative of a(c). What is the third derivative of w(n) wrt n?
-120*n**2
Let o(z) = -98*z**4 - 2*z**2 + 242. Let d(r) = r**4 - r**2 + r + 1. Let c(p) = 2*d(p) - o(p). What is the first derivative of c(h) wrt h?
400*h**3 + 2
Find the first derivative of -86 + 30*m + 0*m + 19 + 1 wrt m.
30
What is the second derivative of -44*n + 9*n**4 + 3*n**3 - 3*n**3 + 43*n**4 + 77*n wrt n?
624*n**2
Let p(o) = 4*o**4 - 3*o**3 + 3*o**2 - 107*o + 261. Let z(r) = r**4 - r**3 + r**2 - r. Let l(x) = p(x) - 3*z(x). What is the derivative of l(v) wrt v?
4*v**3 - 104
Suppose 3*m + m = -16. Let q be (m/8*-8)/2. Find the third derivative of -9*j**5 - 2*j**6 + 3*j**q + j**5 + 8*j**5 wrt j.
-240*j**3
Let n(u) be the third derivative of u**7/70 + 13*u**6/60 + 497*u**3/6 + 566*u**2. What is the derivative of n(k) wrt k?
12*k**3 + 78*k**2
Let h be (-1)/2 + (-124)/8. Let d = h + 20. What is the first derivative of 0*r**d - 5*r**4 + 2 - 1 wrt r?
-20*r**3
Let k be (-14)/35*40*-1. Differentiate -k + 10*f + 4 + 5*f - 3 wrt f.
15
What is the first derivative of 5*k**3 + 115 - 8*k**3 - 464*k**2 - 335 + 432*k**2 wrt k?
-9*k**2 - 64*k
Let s(w) = 393*w**3 - 42*w**2 - 2*w. Let y(n) = -194*n**3 + 21*n**2 + n. Let t(k) = -4*s(k) - 9*y(k). Find the third derivative of t(m) wrt m.
1044
Let q(l) = 65*l**3 - 41*l**2 + 3*l - 6. Let w(u) = 68*u**3 - 41*u**2 + 2*u - 4. Let p(c) = -2*q(c) + 3*w(c). What is the third derivative of p(d) wrt d?
444
Let o = 3 - 1. Let g = o + 1. Find the second derivative of -2*i + 56*i**3 - 58*i**g + 11*i wrt i.
-12*i
Let l be (-2389 - 6)*2/(-5). What is the derivative of l*r - 958*r + 19 + 9*r**2 wrt r?
18*r
Let h(t) = -9*t**4 + 2*t**2 + 4*t + 491. Let n(z) = -38*z**4 + 9*z**2 + 18*z + 1965. Let l(y) = 9*h(y) - 2*n(y). What is the derivative of l(a) wrt a?
-20*a**3
Let y be (-368)/24 - (-1)/3. Let w = -11 - y. Find the second derivative of -d**3 + 6*d**3 + 4*d**3 - w*d wrt d.
54*d
Let q(s) = -1. Let h(u) = u**2 - 627*u + 785. Let p(n) = h(n) - 6*q(n). Differentiate p(c) wrt c.
2*c - 627
Let s(h) be the second derivative of -13*h**6/720 + h**5/24 + 35*h**4/12 - 11*h. Let v(y) be the third derivative of s(y). What is the derivative of v(t) wrt t?
-13
Let d(z) be the second derivative of z**6/30 + 151*z**4/4 - z**3/6 - 63*z**2/2 + 829*z + 1. What is the second derivative of d(p) wrt p?
12*p**2 + 906
Let h = 3 - -7. Differentiate -12*z**3 - h + 9 - 7*z**3 with respect to z.
-57*z**2
Let i = 16 - 14. Suppose -2*d = 5*p - 2, 0*d + 28 = 4*p - 5*d. Find the second derivative of -4*z**p + 4*z**3 + 4*z**i - 5*z - z**3 wrt z.
18*z
Let i(t) be the first derivative of t**4 - 9*t**2/2 - 481*t + 94. What is the first derivative of i(g) wrt g?
12*g**2 - 9
Suppose -j - 86 = 5*b + 83, 4*b = -5*j - 131. Let t = b - -45. Find the second derivative of -14*c + 8*c + 8*c**3 + t*c + 6*c**3 wrt c.
84*c
Let t = -8 + 10. Find the second derivative of 16*l**t + 10*l**4 - 16*l**2 - 5*l wrt l.
120*l**2
Let p(q) = -q**2 - 6*q - 1. Let s be p(-5). Suppose 10 = 5*z, z + 6 = s*n - 4*z. What is the first derivative of n*o**4 - 8 - 3*o**4 + 1 - 2*o**4 wrt o?
-4*o**3
Let l(z) = -z - 13. Let u be l(-18). What is the second derivative of 7*s**4 - u*s - 24*s**4 + 8*s**4 wrt s?
-108*s**2
Suppose 4*m = 29 + 7. What is the second derivative of -5*p**4 - 8*p**4 - 34*p + m*p wrt p?
-156*p**2
Let a(p) = -120*p**3 + 5*p - 281. Let h(l) = 120*l**3 - 4*l + 282. Let c(u) = -4*a(u) - 5*h(u). Differentiate c(z) with respect to z.
-360*z**2
Let b(y) be the third derivative of -y**4/24 + y**3/6 - 11*y**2. Let d(n) = 13*n + 2. Let l(f) = -4*b(f) - d(f). Differentiate l(r) with respect to r.
-9
What is the third derivative of -88*y**2 - 853*y + 853*y + 46*y**2 - 77*y**2 + 394*y**3 wrt y?
2364
Let z(o) be the first derivative of -o**6/3 + o**4 - 103*o**2 + 186. Find the second derivative of z(i) wrt i.
-40*i**3 + 24*i
Let g(i) be the second derivative of 5*i**4/4 + 32*i**3 - 52*i + 1. What is the second derivative of g(w) wrt w?
30
Let y(d) = -15*d**3 + d**2 + 2*d + 19. Let s(v) = -30*v**3 + 4*v + 38. Let c(q) = 2*s(q) - 5*y(q). Find the second derivative of c(u) wrt u.
90*u - 10
Let s(g) = g**2 - 16*g + 19. Let b be s(15). Find the first derivative of 4 + 12*j**b + 5*j**4 - 21 wrt j.
68*j**3
Let z = -54 - -58. What is the third derivative of -38*c**2 + 29*c**2 + 30*c**2 - 16*c**z wrt c?
-384*c
Let h(j) be the third derivative of -1/20*j**5 + 1/40*j**6 + 0*j**4 + 0 + 5/6*j**3 + 14*j**2 + 0*j. Differentiate h(t) wrt t.
9*t**2 - 6*t
Let j(i) = -334*i**2 + 24*i - 101. Let n(s) = -333*s**2 + 28*s - 101. Let h(m) = -7*j(m) + 6*n(m). Differentiate h(v) wrt v.
680*v
Let i(t) be the third derivative of 0*t**4 + 0*t + 