8*o. What is the first derivative of n(s) wrt s?
-3*s**2 + 1054*s
Let m(i) be the first derivative of 1429*i**2/2 - 1380*i + 1505. What is the first derivative of m(c) wrt c?
1429
Let u be (135/6)/9*48/10. Suppose -2*x = 4*w - 0*x - 38, -2*w + 21 = 3*x. What is the second derivative of -6*b - w*b + u*b - 5*b**4 wrt b?
-60*b**2
Let s be (-19)/((-399)/(-14))*-3. Let l(r) be the first derivative of 0*r - 26/3*r**3 - 3/2*r**s + 22. What is the second derivative of l(w) wrt w?
-52
Let r(q) = 6 + 3 + 11*q - 10*q. Let f be r(-6). What is the third derivative of 8*k**3 - 57*k**2 + 75*k**2 - 11*k**f - 32*k**3 wrt k?
-210
Suppose w + 4 = 2*h, -2*h = -5*h + 6. Suppose w = -3*g + 37 - 22. Find the second derivative of s + g*s**3 - 14*s**3 + 0*s wrt s.
-54*s
Find the third derivative of 2 - 2 + 219*p**5 - 1744*p**5 + 572*p**2 + 396*p**2 wrt p.
-91500*p**2
Suppose -14 + 24 = 2*o. What is the second derivative of -33*x**o + 25*x**5 - 10*x - 59*x**5 - 1 wrt x?
-1340*x**3
Let q = 71 - 61. Find the third derivative of -3*h**2 - 3*h**2 - 6*h - 65*h**6 + q*h wrt h.
-7800*h**3
Let x(l) = -2*l**2 + l + 2. Let y(f) = 4*f - 21 + 62 - 105*f**2 + 24 + 36. Let j(n) = 4*x(n) - y(n). Differentiate j(u) with respect to u.
194*u
Let k(y) = 4*y**3 + y**2 + y - 3. Let z be k(1). What is the third derivative of -2 + 1 + n**2 + 25*n**4 - n**z - 26*n**4 + 3 wrt n?
-24*n - 6
Find the third derivative of -143*w**6 - 47*w - 1063*w**6 + 3*w**2 + 198*w + 0*w**2 + w**2 wrt w.
-144720*w**3
Let s(u) be the third derivative of -1/60*u**6 + 0*u + 1 + 4/3*u**4 - 41*u**2 + u**5 - 1/6*u**3. What is the second derivative of s(y) wrt y?
-12*y + 120
Find the third derivative of -67 - 2724*x**6 + 395*x**6 - 4070*x**2 + 4067*x**2 - 27 wrt x.
-279480*x**3
Let d(c) be the second derivative of c**5/20 + 18*c**4 - c**3 + 8*c**2 - 12*c + 9. Find the second derivative of d(z) wrt z.
6*z + 432
Let l(a) be the first derivative of a**6/6 + 13*a**5/5 - a**4/2 - a**3/3 - 3*a**2/2 + 351*a + 1301. What is the third derivative of l(d) wrt d?
60*d**2 + 312*d - 12
Suppose 3*b - 18 + 12 = 0. What is the second derivative of 5*f**2 + 35*f**4 - 4*f**2 + 2*f**b + 16 - 2*f - 33*f**4 wrt f?
24*f**2 + 6
What is the second derivative of 1601*q + 125*q**4 - 199534*q**3 + 199534*q**3 - 5*q**4 wrt q?
1440*q**2
Let g(k) be the second derivative of k**6/15 - 927*k**5/10 - 7847*k**2/2 + 2*k + 540. Differentiate g(d) with respect to d.
8*d**3 - 5562*d**2
Suppose 277 = 124*q - 219. Let m(p) be the first derivative of 0*p**4 + q*p**3 - 14 + 0*p + 0*p**2 + 6/5*p**5. What is the third derivative of m(s) wrt s?
144*s
Suppose 0 = 12*v - 13*v + 2. What is the third derivative of -35*c**2 + 3*c**4 - 200*c**6 + 3*c**v + 0*c**2 - 3*c**4 wrt c?
-24000*c**3
Let i(y) = -525*y**3 - 8*y - 812. Let w(d) = d**3 - 4*d + 2. Let f(j) = -i(j) + 2*w(j). Find the first derivative of f(t) wrt t.
1581*t**2
Let q(w) be the second derivative of 251*w**5/10 - w**4/6 + w**3/6 + 5459*w**2/2 + 10*w + 136. What is the first derivative of q(l) wrt l?
1506*l**2 - 4*l + 1
Let q(x) be the first derivative of 7*x**5/20 - 19*x**3/3 + 87*x**2/2 - 46. Let d(z) be the second derivative of q(z). What is the derivative of d(p) wrt p?
42*p
Suppose -5*s - 247 = 2*j, -201 = 3*s + j - 53. Let h = s + 52. Find the first derivative of -20*y**3 - 7 - 7 + 7*y**3 - 5*y**h wrt y.
-54*y**2
What is the first derivative of 0*d**4 + 2*d**4 - 8*d**4 + 5*d**4 - 6090 + d + 5*d**3 - 2*d**4 wrt d?
-12*d**3 + 15*d**2 + 1
Let o(s) be the first derivative of -13 - 9/2*s**2 + 16*s + 7/2*s**3. Let y(w) be the first derivative of o(w). Differentiate y(f) wrt f.
21
What is the third derivative of 10*k**4 - 20*k**4 + 150*k**6 + 5*k**4 - 462*k**2 - 96*k**2 + 8*k**4 wrt k?
18000*k**3 + 72*k
Suppose 140 = 27*q - 8*q + 9*q. Let g(k) be the first derivative of 0*k**3 + 0*k**4 + 0*k + 15 - 3*k**q + 13/2*k**2. Find the second derivative of g(v) wrt v.
-180*v**2
Let z(d) be the third derivative of 67*d**5/20 + 150*d**3 - 56*d**2 + 1. Find the first derivative of z(f) wrt f.
402*f
Let p(a) be the third derivative of -2/3*a**5 + 0*a + 0 + 1/24*a**4 + 29*a**2 - 73/3*a**3. Find the first derivative of p(z) wrt z.
-80*z + 1
Let i = 33 + 33. Find the second derivative of 42*t**2 + 8*t**2 + 22*t**2 - i*t + 10*t**2 wrt t.
164
Suppose 3*j + 3*b = 2*j - 8, 8 = 4*j + 2*b. What is the first derivative of 12 + 27 - 29*y + 22 - j*y wrt y?
-33
Find the second derivative of 223*r - 190*r**4 + 2 + 703*r + 259*r - r**3 + 3*r**3 wrt r.
-2280*r**2 + 12*r
Find the second derivative of 1409*f**5 - 946*f**5 + 1565*f**5 - 3*f - 758 wrt f.
40560*f**3
Let o(w) be the first derivative of 2/5*w**5 - 66*w + 0*w**4 + 0*w**3 - 17 - 18*w**2. Differentiate o(b) with respect to b.
8*b**3 - 36
Suppose -4*d - 10 = 3*g, -2*g - g + 10 = -d. Let s(a) = -2 + 1 + 3 - 3. Let m(p) = 2*p**2 + 4. Let o(v) = g*s(v) + 2*m(v). Differentiate o(c) with respect to c.
8*c
Let r(a) be the first derivative of 43*a**7/210 - 61*a**3/6 + 5*a**2/2 + 2*a - 50. Let j(z) be the second derivative of r(z). Differentiate j(i) wrt i.
172*i**3
Differentiate 0*w**3 + 1419174*w**2 - 32 - 2327*w**4 + 4575 + 0*w**3 - 1419173*w**2 with respect to w.
-9308*w**3 + 2*w
Let p(k) be the second derivative of -645*k**8/8 - k**6/15 + k**4/6 - 304*k**3 + 87*k - 13. What is the third derivative of p(u) wrt u?
-541800*u**3 - 48*u
Suppose -228*d - 30 = -234*d. What is the second derivative of 10*j**3 - 3*j**3 + 5*j**3 + 56*j + d*j**2 + 1 - 3 wrt j?
72*j + 10
Let p = 359 - 343. Find the first derivative of 53 - p*f**3 - 4*f + 4*f - 12*f**3 + 105 wrt f.
-84*f**2
Suppose -9*t + 204 = -5*t. Let c(d) = -36 + t - 32. Let o(z) = -2*z + 16. Let r(s) = -4*c(s) - 3*o(s). What is the derivative of r(p) wrt p?
6
Suppose -4*z = -678 + 666. Let y(l) = 54*l + 148. Let v(d) = 53*d + 151. Let p(k) = z*y(k) - 2*v(k). Find the first derivative of p(c) wrt c.
56
Find the second derivative of 203 + 184 - 5619491*w**3 + 5624448*w**3 - w + 2*w wrt w.
29742*w
Let z(u) = -u**3 + 109*u**2 - 5*u + 2076. Let f(t) = t**3 - 54*t**2 + 2*t - 1038. Let m(r) = -5*f(r) - 2*z(r). Differentiate m(v) wrt v.
-9*v**2 + 104*v
Suppose -9*h + 48 = -3*h. Suppose 38 = 5*l + h. Find the third derivative of 10*g**l - 3*g**6 + 3*g**6 - 7*g**2 wrt g.
1200*g**3
Suppose 51226 = -2*h + 9*h. Suppose 3*l - 4*i = -0*i + 4384, -i = -5*l + h. Find the third derivative of 15*x**5 - l*x - 33*x**2 + 1464*x wrt x.
900*x**2
Let m(l) be the second derivative of 0*l**2 - 8/3*l**3 + 4/3*l**4 + 63*l + 0. What is the second derivative of m(u) wrt u?
32
Let y(x) = -x. Let d be 1 + -1 + 4 + -3. Let t(a) = -66*a - 10. Let l(j) = d*y(j) - t(j). Differentiate l(b) wrt b.
65
Let x be 7/((-7)/(-21) - (-10)/(-48)). Suppose 3 = -b - q + 11, -5*b = -3*q - x. What is the derivative of 41*a - 41*a + 0*a**4 - 11*a**4 + b wrt a?
-44*a**3
Find the third derivative of -1672*o**2 - 107116*o**3 - 4172*o**5 - 250*o**5 + 924*o**5 + 107116*o**3 wrt o.
-209880*o**2
Let l(v) = 478*v**2 + v + 32. Let n = 352 - 348. Let r(g) = 239*g**2 + 17. Let p(f) = n*l(f) - 9*r(f). What is the second derivative of p(w) wrt w?
-478
What is the first derivative of 1891 - 544*q**2 + 587*q**2 - 1038 + 2*q + 2061*q**2 wrt q?
4208*q + 2
Let p(m) = -m**3 - 5*m**2 - 5*m - 23. Let n be p(-5). What is the first derivative of -n*z**2 + 52*z**3 - 59 + 4*z**2 - 71 - 2*z**2 wrt z?
156*z**2
Let p(k) be the third derivative of 0*k**4 + 4*k**2 + 0*k**3 + 2 + 8/5*k**5 + 0*k - 17/24*k**6. Find the third derivative of p(b) wrt b.
-510
Suppose 1996 = -32*n + 1996. Let t(x) be the first derivative of 0*x**4 + 0*x**3 - 11/5*x**5 + x**2 + n*x + 7. What is the second derivative of t(c) wrt c?
-132*c**2
Let x be ((-13)/(-26))/((-1)/72*-2). Suppose -4*h = -3*a + 20, 3*a = 5*a - 5*h - x. Differentiate -4*w**4 + 24 + 47*w**4 - 17*w**a wrt w.
104*w**3
Let d(a) be the second derivative of -41*a**2 - 31 - 1/20*a**5 + a + 0*a**3 + 13/15*a**6 + 0*a**4. Differentiate d(i) with respect to i.
104*i**3 - 3*i**2
Find the third derivative of -11101 + 836*w**2 + 2*w + 11099 - 3*w + 5078*w**6 wrt w.
609360*w**3
What is the third derivative of 4730*c**4 + 208 - 5194*c**2 - 208 - 723*c**2 wrt c?
113520*c
Let i be 0 + 230/4 - 14/(-28). What is the second derivative of q + 101*q**4 + 833*q**3 - 833*q**3 - 38*q**4 - i wrt q?
756