168*t
Find the third derivative of -988*w**2 + 2650*w**2 - 514*w**2 + 633*w**5 wrt w.
37980*w**2
Let x(n) = -2*n**4 - n**3 + n**2 + 1. Let h(f) = 949*f**4 + 8*f**3 - 7*f**2 + 1116*f - 5. Let c(u) = h(u) + 5*x(u). What is the third derivative of c(o) wrt o?
22536*o + 18
Find the second derivative of 2172*j**2 - 10*j + 49*j**3 - 2174*j**2 - 218*j**3 wrt j.
-1014*j - 4
What is the third derivative of -120*x**4 + 876*x**2 - 28*x**5 - 7706*x**3 + 7717*x**3 + 117*x**4 wrt x?
-1680*x**2 - 72*x + 66
Let o = -1255 + 1259. Let b be 4/((-6)/(-3)) - 0. What is the second derivative of 37*f**4 + 10*f - 19*f**2 + 15*f**2 + o*f**b wrt f?
444*f**2
Let d(f) be the third derivative of f**9/252 - f**8/336 - 53*f**7/210 - 1619*f**5/60 + f**4/24 + 9142*f**2. Find the third derivative of d(c) wrt c.
240*c**3 - 60*c**2 - 1272*c
Suppose n + 9*i - 4 = 5*i, 4 = -i. Differentiate 203 - n*l**2 - 9*l**2 - 146 wrt l.
-58*l
Let o(t) be the third derivative of 0 + 18*t**3 + 1/24*t**4 - 1/42*t**7 + 22*t**2 + 0*t + 0*t**6 - 1/15*t**5. Find the second derivative of o(h) wrt h.
-60*h**2 - 8
Let p = 64 + -50. Let v be (20/p)/((-10)/(-70)). Find the third derivative of 12*y - 12*y + 24*y**2 - v*y**3 + 11*y**3 wrt y.
6
Let w(y) be the first derivative of 259*y**6/6 + y**3 + 2084*y**2 + 263. What is the second derivative of w(d) wrt d?
5180*d**3 + 6
What is the third derivative of 3*n**3 + 6598*n**2 - 594*n**2 - 61*n**4 + 1098*n**5 - 1101*n**5 - 31*n**4 wrt n?
-180*n**2 - 2208*n + 18
What is the third derivative of -1229*y**3 + 7*y**2 + 2166*y**3 - y**2 - 1008*y**3 - 2 + 37*y - 3*y**4 - 1323*y**3 wrt y?
-72*y - 8364
Let r(h) = h**2 - 3*h - 106. Let w be r(12). Find the second derivative of -2*v**2 - 92*v - 5*v**w + 5027*v**3 - 5034*v**3 wrt v.
-42*v - 14
Let u be (54/(-4))/(2/(-4)). Suppose u*q = 23*q + 76. Find the third derivative of -13*v**6 - 4*v**2 - q*v**6 - 12*v**2 + 11*v**6 wrt v.
-2520*v**3
Suppose -156 = -10*j + 6*j. What is the third derivative of -j*d**6 + 262*d**3 + 60*d**2 - 262*d**3 wrt d?
-4680*d**3
What is the first derivative of l + 14063 - 14819 - l + 1727*l**2 wrt l?
3454*l
What is the derivative of -3*u**4 - 113765*u + 337 - 5664 - 6*u**2 + 113802*u wrt u?
-12*u**3 - 12*u + 37
Let s(v) be the third derivative of -85*v**6/12 + 1531*v**5/60 - 480*v**2. What is the third derivative of s(y) wrt y?
-5100
Let a = 48 - 48. Suppose -10*b + 3*b + 28 = a. Find the second derivative of 5*y - b*y**4 + y + 23*y**4 wrt y.
228*y**2
Let k(u) be the first derivative of 4*u**6 + 65*u**4/2 + 177*u**2/2 - 2*u - 6193. Find the second derivative of k(d) wrt d.
480*d**3 + 780*d
Let i = 468 + -363. Find the first derivative of -37 + 31 - 107*z + i wrt z.
-107
Let k(t) be the third derivative of t**9/252 + 29*t**7/210 + 3*t**6/40 + 5221*t**5/60 + 9*t**2 + 3*t - 6. What is the third derivative of k(f) wrt f?
240*f**3 + 696*f + 54
Suppose 7*x - 103 = -75. What is the third derivative of -212*w**2 - 24716*w**3 - w + 24716*w**3 - 235*w**x wrt w?
-5640*w
Let q = 45 + -21. Suppose 0*m + q = 6*m. Find the second derivative of 0*x**4 + 14*x + 18*x**m + 12*x + x**4 wrt x.
228*x**2
Suppose -4 = 2*k + 2*k, 0 = -3*j - 2*k + 268. Let u = -88 + j. Differentiate 5 - 5 - 30*z**4 + 13 + u wrt z.
-120*z**3
Let l(k) = -14*k - 4 + 10*k**2 - 17*k - 14*k + 39*k - 10*k**3. Let c(i) = -i**2 + i. Let p(s) = 6*c(s) + l(s). What is the derivative of p(w) wrt w?
-30*w**2 + 8*w
Suppose -3*u + 24 = 3. Let x(j) = 2*j**3 + 13*j**2 + 18*j + 19. Let c be x(-5). Find the second derivative of -21*a - c*a**3 + 13*a**3 + u*a**3 + a wrt a.
96*a
Suppose 3*t + m = 3*m + 26, 3*t - 56 = -4*m. Let i = t - 9. Differentiate 0 + 3 + 11*p**i - 13*p**3 with respect to p.
-6*p**2
Let d = 9 + 4. Suppose -d*n + 1162 = n. Differentiate 78 + n + 24*p - 130 with respect to p.
24
What is the third derivative of -365 + 742*i**5 + 3*i**2 - 226 + 2*i**2 + 130 - 3*i**2 wrt i?
44520*i**2
Let z be (2/5)/((-2)/(-10)). Let i be 468/45*(-20)/(-8). Find the third derivative of -25*q**z - 979*q**5 + 979*q**5 - i*q**6 wrt q.
-3120*q**3
Let f(k) = 10134*k + 2898. Let i(w) = 30354*w + 8694. Let n(c) = 8*f(c) - 3*i(c). What is the derivative of n(o) wrt o?
-9990
Let a(l) be the second derivative of 223*l**6/30 + 167*l**2 - 925*l. What is the first derivative of a(x) wrt x?
892*x**3
Let s be 114/(-24)*-9 + 1/4. Let n = 56 - s. What is the second derivative of -31 + 16*r**3 + 31 + n*r wrt r?
96*r
Let p(b) = b**3 + 14*b**2 - 15*b - 1. Let i be p(-15). Let u be 2 - (-3)/i - (-26)/2. Differentiate -13 - 13*v**4 + 9 + u wrt v.
-52*v**3
Let o(f) = -2. Let z(s) = s + 5. Let t be z(-2). Let x(w) = 139*w**3 + 50*w + 6. Let m(l) = t*o(l) + x(l). Find the second derivative of m(h) wrt h.
834*h
Let o(a) be the first derivative of 259/6*a**6 + a**2 + 41*a**3 + 0*a**4 - 127 + 0*a**5 + 0*a. Find the third derivative of o(j) wrt j.
15540*j**2
Let h(j) be the first derivative of 732*j**7 - 2318*j**3/3 + 2477. Find the third derivative of h(u) wrt u.
614880*u**3
Let v be (66/9)/(6/27). Differentiate 4*y**3 - 44*y**3 - 13 + v*y**2 - 33*y**2 with respect to y.
-120*y**2
Let f(h) be the second derivative of 3541*h**3/6 + 711*h**2/2 + 2883*h. What is the first derivative of f(w) wrt w?
3541
Let g(t) = -5283*t**2 + 16*t - 432. Let d(h) = -1761*h**2 + 6*h - 143. Let k(i) = -17*d(i) + 6*g(i). What is the second derivative of k(z) wrt z?
-3522
Let w(v) be the third derivative of 0*v**5 + 0*v + 65/24*v**4 + 0*v**6 + 0 + 20*v**2 + 0*v**7 + 0*v**3 + 5/42*v**8. Find the second derivative of w(n) wrt n.
800*n**3
Let c(s) = -21223*s - 24782. Let l(v) = 10666*v + 12391. Let r(j) = 4*c(j) + 7*l(j). What is the first derivative of r(z) wrt z?
-10230
Let a(r) be the first derivative of -r**7/280 + r**5/30 + 19*r**4/8 + 47*r**3/3 + 10. Let u(b) be the third derivative of a(b). Differentiate u(t) wrt t.
-9*t**2 + 4
Let v(j) be the second derivative of -16*j**6/5 + j**5/10 + 11*j**4/12 - 15*j**2/2 + 57*j. Find the third derivative of v(y) wrt y.
-2304*y + 12
Let l(f) be the first derivative of -18*f + 134 + 1/3*f**3 + 29/4*f**4 + 0*f**2. What is the first derivative of l(s) wrt s?
87*s**2 + 2*s
Let a(r) be the third derivative of -1/4*r**5 + 0*r**4 - 60*r**2 + 0 + 0*r - 65/6*r**3. What is the derivative of a(b) wrt b?
-30*b
Let x = -100 - -109. Find the second derivative of -78*s**3 + 40*s**3 + 39*s**3 - x*s + 23*s**3 wrt s.
144*s
Let d be 13/5 - (-6)/(-10). Find the second derivative of -10*n**d - 2*n**3 + 3*n - 3*n - 12*n wrt n.
-12*n - 20
Let b(m) = 8652*m**4 - 8064*m**2 - 175*m. Let t(a) = -721*a**4 + 672*a**2 + 15*a. Let v(n) = 6*b(n) + 70*t(n). What is the third derivative of v(r) wrt r?
34608*r
Let f(g) be the third derivative of -275*g**8/84 - 373*g**4/12 + 1225*g**2. Find the second derivative of f(p) wrt p.
-22000*p**3
Suppose 2*k - 4*k = -28. Let a be (8/5)/(k/35). What is the derivative of -16 + 11*x**a + 182*x - 182*x wrt x?
44*x**3
What is the second derivative of 1090*z - 1434*z**4 - 298*z**4 + 591*z**4 - 1 wrt z?
-13692*z**2
Suppose 0 = -3*a - 4*y - 6, 15*a - 10*a - y = 13. What is the derivative of -123*q**2 - 253 + 32*q**2 + 29*q**2 - 60*q + 33*q**a + 30*q**2 wrt q?
2*q - 60
Let q(g) be the first derivative of -75/2*g**2 + 317*g - 20. What is the derivative of q(l) wrt l?
-75
Suppose 11*h - 17 = 49. What is the third derivative of 10 - 12 - 17*s**h + 4*s**4 + 26*s**6 - 4 + 3*s**2 wrt s?
1080*s**3 + 96*s
Let k(w) be the third derivative of 2947*w**6/120 + 7*w**5/60 + 3*w**4/4 + 2*w**2 + 64*w + 6. What is the third derivative of k(b) wrt b?
17682
Let l(i) be the second derivative of -1373*i**4/4 + 42*i**3 - i**2/2 - 5424*i. What is the second derivative of l(q) wrt q?
-8238
Let f be 1*(-7)/(28/(-8)). Let b(x) = x. Let v(o) = -9*o + 30. Suppose 8 = k + 7. Let g(q) = f*b(q) + k*v(q). Differentiate g(d) with respect to d.
-7
Suppose -190 - 42 = -3*f + 5*t, -5*f + 416 = -t. What is the third derivative of 48*x - 191*x**2 - 40*x + 189*x**2 - f*x**6 wrt x?
-10080*x**3
Let w be ((-34)/3)/((-2584)/(-432) - 6). What is the second derivative of 628*k - w*k + 3*k**2 - 3*k**2 - 155*k**5 wrt k?
-3100*k**3
Let z be 15/120*192/18. Let t(a) be the second derivative of -1/12*a**4 + 0*a**2 + 0 + 9*a - z*a**3. What is the second derivative of t(g) wrt g?
-2
Let t(p) = 3066*p**3 - 7*p**2 - 78*p