t**3 + 7*t**3 with respect to t.
-9*t**2 + 320*t + 2
Let h(d) be the first derivative of 16*d**5/5 + 103*d**4/2 + 6779*d**3/3 + 8467. Find the third derivative of h(j) wrt j.
384*j + 1236
Find the third derivative of -8*m**4 + 99*m**3 + 357*m**3 + 10*m**4 - 759*m**2 wrt m.
48*m + 2736
Suppose -5*w = 3*o - 206, 4*o = -3*w + 197 + 63. What is the first derivative of 0*x**2 - 157 + o*x**2 - 8*x**2 + 250 wrt x?
108*x
Let w(u) = 78*u + 123. Let i be w(18). What is the second derivative of 1527 + 12*k - 29*k**2 - i wrt k?
-58
Find the second derivative of -3663*z + z**3 + 4440*z**4 + 5650*z + 6080*z wrt z.
53280*z**2 + 6*z
Let u(s) = 12*s**2 + 8*s + 2. Let y(r) = 36*r**2 + 26*r + 6. Suppose -3*j - 11 = -5. Let d(c) = j*y(c) + 7*u(c). What is the second derivative of d(b) wrt b?
24
Let y(s) = -130*s - 4298. Let j(m) = 68*m + 2148. Let v(d) = -9*j(d) - 4*y(d). What is the derivative of v(t) wrt t?
-92
Let v(r) be the first derivative of r**6/3 - 444*r**5/5 - 8897*r**3/3 - 2965. What is the third derivative of v(g) wrt g?
120*g**2 - 10656*g
Let z(l) be the third derivative of -47*l**6/30 + 11*l**5/15 + 204*l**2 + 1. What is the third derivative of z(x) wrt x?
-1128
Let s(n) be the second derivative of 0*n**4 - 79*n + 7/2*n**6 - 1/2*n**3 + 0*n**2 + 0 + 0*n**5. What is the second derivative of s(x) wrt x?
1260*x**2
Suppose 1 + 27 = 14*q. What is the second derivative of 3301*o - 3472*o + 53*o**2 + 6*o**2 + o**q wrt o?
120
Let u(p) be the second derivative of -43*p**6/10 + 3*p**5/20 + p**4/6 + 119*p**3/6 - 2*p - 833. Find the third derivative of u(i) wrt i.
-3096*i + 18
Let d = -355 - -407. Differentiate -d*m - 33 + 0*m - 10 - 45*m with respect to m.
-97
Let a(o) be the third derivative of -3*o**7/35 + 2*o**5/15 - 5*o**4/24 + 89*o**3/3 + 593*o**2. Find the second derivative of a(v) wrt v.
-216*v**2 + 16
Let r(x) = 1174*x**3 - 636*x - 48. Let u(v) = -v - 4. Let h(y) = -r(y) + 12*u(y). Find the second derivative of h(q) wrt q.
-7044*q
Let p be (-5)/(-15)*50*3. What is the derivative of p + 12*o + 27 + 98*o + 64 wrt o?
110
What is the second derivative of -119*z**2 + 124*z - 351*z - 162*z - 1416*z - 151*z**2 wrt z?
-540
What is the second derivative of -240*g**3 + 721*g - 1503*g**3 - 223*g + 1033*g wrt g?
-10458*g
Let b(m) = -m**3 - 7*m**2 + 29*m + 6. Let o be b(-10). Find the first derivative of -16*v**3 + o + 33 + 17*v**3 + 45*v**2 wrt v.
3*v**2 + 90*v
Let q(w) be the first derivative of 3*w**5/5 + 2547*w**4/4 - 178*w**3/3 + 9*w**2/2 + 3524. What is the third derivative of q(y) wrt y?
72*y + 15282
Let n(q) be the first derivative of -6*q**5/5 - q**4/2 + 5*q**2/2 - 115*q + 1613. Differentiate n(k) wrt k.
-24*k**3 - 6*k**2 + 5
Let q(a) = -a**2 + 234*a + 308. Let d(w) = -2*w**2 + 468*w + 611. Let i(n) = -3*d(n) + 5*q(n). What is the first derivative of i(u) wrt u?
2*u - 234
Let i(o) be the first derivative of -377*o**4/2 - 92*o**3 - 1818. What is the third derivative of i(h) wrt h?
-4524
Let n(t) = 5527*t**6 - 4*t**4 - t**2 + 2746. Let i(l) = l**4 + 6. Let m(j) = -4*i(j) - n(j). Find the third derivative of m(z) wrt z.
-663240*z**3
Find the second derivative of 6338*o**2 - 2482*o**2 + 8394*o**2 + 3958 - 137*o + 138*o wrt o.
24500
Suppose -5*p + 99 = 6*p. Suppose p*k = 10*k - 42. Find the third derivative of -2*w**6 + w**6 + 125*w**2 - 56*w**2 - k*w**2 wrt w.
-120*w**3
Let m(z) be the first derivative of -2*z**5/5 + 59*z**4/4 + 80*z**3/3 - z**2 - 965. Find the third derivative of m(t) wrt t.
-48*t + 354
Let f(j) = -j**2 - 9*j + 3. Suppose -4*k - 48 + 12 = 0. Let z be f(k). Differentiate 2*i**z + i**3 + 27 - 22 with respect to i.
9*i**2
Let h(x) = 87*x + 151. Let d(v) = -8 + 14 - 8 - 2. Let r(m) = 5*d(m) + h(m). Differentiate r(p) with respect to p.
87
Let d = 140 - 135. Find the first derivative of -d*b**2 - 42 - 3*b**2 - 2*b**2 + 7*b**2 wrt b.
-6*b
Let p(k) be the second derivative of 1021*k**6/30 + 271*k**3/3 - k**2/2 + 2*k + 273. What is the second derivative of p(a) wrt a?
12252*a**2
Suppose -24*c = -22*c - 342. What is the second derivative of -179*i + c*i + 29*i**2 + 38*i**2 wrt i?
134
Let m(n) be the third derivative of 7/24*n**6 + 0*n + 0*n**4 - 21/2*n**3 + 0*n**5 + 0 + 78*n**2. What is the first derivative of m(c) wrt c?
105*c**2
Let t(c) be the second derivative of -2003*c**6/30 - 2*c**3/3 - 7*c**2 + 2377*c. What is the second derivative of t(a) wrt a?
-24036*a**2
Let k(h) = -h**3 + 48*h**2 - 135*h + 66. Let q be k(45). Find the first derivative of -25 - 114*d**2 - q - 5 wrt d.
-228*d
Find the first derivative of -332 + 1454 - 14931*k + 15797*k wrt k.
866
Let r = 11 - 6. Suppose -3064*v = -3070*v + 30. What is the third derivative of 12*z**v + 2*z**2 + 5*z**r - 12*z**2 wrt z?
1020*z**2
Let a(c) be the third derivative of 1/6*c**3 + 35/24*c**4 + 64*c**2 - 8/15*c**6 + 0*c**5 + 0*c + 0. Find the second derivative of a(r) wrt r.
-384*r
Let o(p) be the third derivative of 211*p**8/112 + p**7/210 + p**5/30 - 355*p**3/6 + 5*p**2 + 19*p - 2. What is the third derivative of o(n) wrt n?
37980*n**2 + 24*n
Let r(m) = m**3 - 15*m**2 + 10*m + 60. Let q be r(14). Find the second derivative of -32*a - 14*a**3 - a**q - 10*a**3 - 53 + 9*a**3 + 31*a wrt a.
-12*a**2 - 90*a
Let g(h) = h**2 - 10*h + 13. Let f be g(4). Let o = 2 - f. Find the third derivative of -4*k**4 + 19*k**2 + o*k**4 + 20*k**6 - 9*k**4 wrt k.
2400*k**3
Suppose 24 + 0 = 6*d. Find the third derivative of 11*q**2 - d + 5*q**6 + q**6 + 0 - 10*q**2 wrt q.
720*q**3
Let t(o) = 2579*o**2 + 9160*o - 7. Let x(l) = -857*l**2 - 3054*l + 2. Let w(f) = -4*t(f) - 14*x(f). What is the second derivative of w(y) wrt y?
3364
Suppose 0 = -b + 4*b - 18. Let o(t) be the first derivative of 19*t**2 + 0 - b - 1 + t**3 + 4. What is the second derivative of o(m) wrt m?
6
Suppose -12*l + 28 = -8*l. Let f = 64 - 64. What is the third derivative of -12*u**2 + l*u**3 + u**3 + f*u**2 + 4*u**3 wrt u?
72
Let g(p) = 4*p**2 - 1. Let m(x) = -1140*x**2 + 43*x + 1. Let s(u) = 5*g(u) + m(u). Find the second derivative of s(o) wrt o.
-2240
Let y(f) be the second derivative of 149/20*f**5 + 49 + f - 133/12*f**4 + 0*f**3 + 0*f**2. What is the third derivative of y(o) wrt o?
894
Let l(j) = 2*j**2 + 4*j + 3. Let s be l(-2). Differentiate 2552*o**3 - 2*o - 2487*o**s - 63 + 2*o with respect to o.
195*o**2
Let t(p) = -416*p**2 + 202*p**2 - 1 + 239*p**2 - 16*p. Let o(i) = i**2 + i - 1. Let c(k) = o(k) - t(k). Find the second derivative of c(r) wrt r.
-48
Let a(b) be the third derivative of -4*b + 0 + 5/8*b**4 + 1/60*b**5 - 19*b**2 - 29/3*b**3. Differentiate a(d) wrt d.
2*d + 15
Let g(q) = -6*q + 21. Let o be g(3). Suppose 2*p = -w + 41, 5*p - 87 - 16 = -3*w. Differentiate 0 - p + 0*d**3 - 21*d**o wrt d.
-63*d**2
Let n = 240 - 238. Find the second derivative of 29*s**3 - 143 + n*s**4 + 2*s + 283 - 141 wrt s.
24*s**2 + 174*s
Let z = -27 + 30. Find the third derivative of -d + 30*d**z - d**3 + 20*d**2 - 81*d**3 wrt d.
-312
Let w(s) be the third derivative of 241*s**6/30 - 29*s**5/30 - s**2 + 419. What is the third derivative of w(h) wrt h?
5784
Let c(j) = j**3 + 4*j**2 + 3*j + 14. Let m be c(-4). Find the second derivative of 36848 - o + 206*o**m - 36848 wrt o.
412
Let d = 129 - 124. Find the third derivative of 375*v**2 - 3*v**5 + 4 - 368*v**2 - 2*v**d wrt v.
-300*v**2
Let o(k) = -1177*k**2 + k + 3718. Let w(u) = 1181*u**2 - u - 3720. Let x(z) = 2*o(z) + 3*w(z). What is the second derivative of x(f) wrt f?
2378
Let m(d) be the second derivative of 1453*d**4/12 + 125*d**3/6 + 5*d**2/2 + 53*d - 1. What is the second derivative of m(c) wrt c?
2906
Find the third derivative of 10522*c**6 + 3*c**5 - 10087*c**6 - 3*c**5 + 2552*c**2 wrt c.
52200*c**3
Let n(f) = 3*f + 229. Let g be n(-43). What is the derivative of g + 8 - 150*d - 1 wrt d?
-150
Suppose 16*a - 331 = 213. What is the second derivative of -39*m**2 + 36*m - 41*m**2 + 2 + a*m**2 + 28*m - 162*m**2 wrt m?
-416
Suppose 0*u = 5*g - 2*u - 21, -6 = g + 3*u. Differentiate -87*v**2 - 76*v**g + 43*v**2 - 109 + 44*v**2 with respect to v.
-228*v**2
Suppose 8 + 6 = 7*b. Suppose 0 = 3*s - b - 4. What is the derivative of -347 - y**3 + 310 + y**3 - s*y**4 wrt y?
-8*y**3
Let n = 28 + -23. Let w be ((-4)/3)/(n/(-15)). Differentiate 4*z - w - 5*z + 2*z wrt z.
1
Suppose -2*t = 3*a + 357, t - 249 = 2*a + 6*t. 