 21*w**2 - 31*w**2 - d*w wrt w.
-104
Let k(f) be the first derivative of 5347*f**3/3 + f**2 + 9521*f + 8936. Find the first derivative of k(v) wrt v.
10694*v + 2
Let d(o) = -2*o**2 - 2*o + 1. Let v(t) = 7*t**2 + 13*t - 75. Suppose -5*i + 27*i + 22 = 0. Let c(a) = i*d(a) - v(a). Differentiate c(s) with respect to s.
-10*s - 11
Let s(q) be the third derivative of 19*q**7/105 - q**6/30 - q**5/20 + 707*q**4/3 + 8655*q**2. What is the second derivative of s(n) wrt n?
456*n**2 - 24*n - 6
Suppose -2*b = 2*b - 20, -5*x + 3*b = -5. Suppose 3*v + 696 = x*y - v, -5*y + 856 = 2*v. Differentiate -131*u**2 + 38 + 5 + y*u**2 wrt u.
82*u
Let j(t) = -t**2 + 19*t + 54. Let o be j(19). What is the second derivative of -345*d**2 + 172*d**2 - 3*d - o*d**3 + 174*d**2 wrt d?
-324*d + 2
Suppose 94 + 104 = 66*v. Let s(j) be the second derivative of 26*j + 0*j**2 + 0 - 33/20*j**5 - 37/6*j**v + 0*j**4. Find the second derivative of s(n) wrt n.
-198*n
Differentiate 1235 - 5*m + 6507*m**3 + 5*m - 5730*m**3 wrt m.
2331*m**2
Suppose 0 = 6*m + 125 - 143. What is the second derivative of -8*x**2 - 8*x**4 + 240*x + 5*x**2 + m*x**2 + 10*x**4 - 134*x**3 wrt x?
24*x**2 - 804*x
Suppose 0 = -33*j + 55*j - 1320. What is the second derivative of -j*d - 21*d + 577*d**5 - 574*d**5 wrt d?
60*d**3
Let i(u) = -12*u - 57. Let g be i(-15). Let x = g - 110. Find the first derivative of -x - 39*v**4 - 9*v**3 + 9*v**3 + 68*v**4 wrt v.
116*v**3
What is the first derivative of -239*o**2 - 237*o**2 - 247*o**2 - 8323*o**3 - 14376 + 723*o**2 wrt o?
-24969*o**2
What is the third derivative of 1370*d - 2*d**2 + 5228*d**4 + 0*d**2 - 1356*d wrt d?
125472*d
Let u = 716 + -703. Find the second derivative of -56*x**3 - 59*x**3 + 84*x + u*x**3 - x**2 + x**2 wrt x.
-612*x
Let t(g) be the second derivative of -3*g**8/560 - 61*g**5/120 - 13*g**4/2 - 2*g. Let n(h) be the third derivative of t(h). Differentiate n(z) wrt z.
-108*z**2
Let k(i) = 1249*i**2 - 17*i + 4977. Let j(b) = 416*b**2 - 6*b + 1642. Let p(t) = -34*j(t) + 12*k(t). What is the first derivative of p(u) wrt u?
1688*u
Let p(g) be the first derivative of g**6/30 - 59*g**3/6 - 39*g**2 + 71*g + 168. Let n(r) be the first derivative of p(r). Differentiate n(v) wrt v.
4*v**3 - 59
Let u(l) = -4*l**4 + l**3 - l + 1. Let g(s) = -33*s**4 - 4*s**3 + 53*s**2 + 124*s - 10. Let p(w) = g(w) + 4*u(w). What is the second derivative of p(f) wrt f?
-588*f**2 + 106
Let s(q) be the second derivative of 0 + 0*q**4 + 96*q + 1/5*q**6 - 1/2*q**3 - 75*q**2 + 0*q**5. What is the derivative of s(z) wrt z?
24*z**3 - 3
Let v(o) = 1629*o**4 - 3*o**3 - 817*o + 3. Let b(d) = 4889*d**4 - 8*d**3 - 2448*d + 8. Let x(c) = 3*b(c) - 8*v(c). Find the second derivative of x(l) wrt l.
19620*l**2
Suppose 2*t - 112 - 12 = 0. Find the second derivative of -197*o - 104*o**3 + 124*o**3 - t*o wrt o.
120*o
Suppose -8 = 10*b - 12*b. What is the second derivative of -201 + 54*a**5 - a - 76*a**4 + 104*a**b - 26*a**4 wrt a?
1080*a**3 + 24*a**2
Let n(j) be the first derivative of 5 - j - 1/2*j**2. Let q(h) = -16*h**2 + 2*h - 9. Let f(g) = 2*n(g) + q(g). What is the first derivative of f(v) wrt v?
-32*v
Suppose 8*n - 1234 = 6*n - 4*p, -3*n + 1853 = 4*p. What is the first derivative of 310 + 82*q + 310 - n wrt q?
82
Let k(b) be the second derivative of 57/2*b**2 + 0 + 16/3*b**3 + 76*b. What is the derivative of k(w) wrt w?
32
Let t(b) be the second derivative of 2*b**3/3 + 12*b**2 + 10*b. Let f be t(-5). Find the third derivative of -3*y**2 + 7*y**f + 3*y**4 + 10*y**2 + 8*y**2 wrt y.
240*y
Let u(s) be the third derivative of -1/15*s**7 + 0*s**3 + 1/60*s**5 - 5/12*s**4 - s + 0*s**6 + 9*s**2 + 0. Find the third derivative of u(z) wrt z.
-336*z
Let w(z) = -3*z**2 - 12*z - 5. Let d be (-12)/(-42) + (-69)/21. Let p be w(d). Differentiate 3 + 11 - 15*i**p - 25*i**4 - 5*i**4 wrt i.
-180*i**3
Let b(p) = -34*p - 3. Let o be b(-3). Find the first derivative of 30 + 12*k**2 + 20 - o*k**2 wrt k.
-174*k
Let v(o) be the third derivative of -12*o**8/7 + o**7/210 - 163*o**5/60 + 1809*o**2. What is the third derivative of v(q) wrt q?
-34560*q**2 + 24*q
Suppose -11*a + 6*a = -405. What is the second derivative of 50*r**5 + 6*r**5 - a*r**5 + 12*r - 78*r**5 + 5 wrt r?
-2060*r**3
Let w(u) be the first derivative of 4358*u**5/5 - 6163*u**3/3 - 5277. Find the third derivative of w(t) wrt t.
104592*t
Let q = -7 + 39. What is the first derivative of -48*w**2 - q*w**2 + 59 - 14*w**2 + 25*w**2 wrt w?
-138*w
Let d(a) = 136*a**3 + 95*a. Let w(m) = -115*m - 75*m - 3700*m**3 + 3428*m**3. Let l(v) = -5*d(v) - 3*w(v). What is the second derivative of l(y) wrt y?
816*y
Suppose -20*h + 27*h = 2646. What is the third derivative of 4 - 19*b**5 + 378*b**4 - h*b**4 - 4*b**2 wrt b?
-1140*b**2
Let q(m) = -2*m**3 - 843*m**2 - 261*m + 8. Let y(s) = s**3 + 847*s**2 + 262*s - 5. Let k(i) = 2*q(i) + 3*y(i). What is the second derivative of k(w) wrt w?
-6*w + 1710
Differentiate 2144*w**2 - 1054*w**2 + 472 + 54 + w - 2*w wrt w.
2180*w - 1
Let p(f) be the first derivative of f**4/4 + 329*f**3 + 176*f**2 + 745. What is the second derivative of p(r) wrt r?
6*r + 1974
Suppose -x - 336 = -5*x. Differentiate -k**3 + x + 0*k**2 + 2*k + 14 + 0*k**2 with respect to k.
-3*k**2 + 2
Let h(a) be the third derivative of 901*a**6/24 + a**5/30 - 77*a**4/8 + 4*a**2 + 384. What is the third derivative of h(d) wrt d?
27030
Let x = 206 + -202. Suppose 0 = -3*t - 2*d + 23, 5*t + 3*d - 2*d = 50. What is the derivative of 2 + r**4 + 8*r**x - 15*r**4 - t wrt r?
-24*r**3
Let w(t) = 3468*t + 627. Let x(b) = 5794*b + 1045. Let p(y) = -12*w(y) + 7*x(y). Differentiate p(z) wrt z.
-1058
Let y(r) = -29*r**4 - 1386*r**3 - 1011*r**2 + 11*r + 1. Let x(p) = -7*p**4 + 3*p. Let k(z) = -4*x(z) + y(z). What is the third derivative of k(h) wrt h?
-24*h - 8316
Let x(t) be the third derivative of -17*t**8/28 + t**7/210 - t**6/30 - 1745*t**4/12 + 130*t**2 + 8*t. What is the second derivative of x(b) wrt b?
-4080*b**3 + 12*b**2 - 24*b
Find the first derivative of -4416*x**4 - 2*x**3 + 4223*x**4 - 450 + 2*x**3 wrt x.
-772*x**3
Let w = 7270 - 7270. Let j(b) be the second derivative of b**3 - 7/20*b**5 + w*b**4 - 17*b + 0 + 0*b**2. What is the second derivative of j(m) wrt m?
-42*m
Let d(n) be the third derivative of 725*n**8/168 + n**5/20 - 83*n**4/24 + 5*n**2 - 36. Find the third derivative of d(m) wrt m.
87000*m**2
Let j(i) = 0*i - 2 - 7*i + i - 1 - i**2. Let t be j(-4). Find the third derivative of 23*a**2 - 150*a**4 - t*a**2 + 161*a**4 wrt a.
264*a
Let s(q) = 3*q + 2. Suppose -2*y + 14 = 12*y. Let f be s(y). What is the third derivative of 15*v**6 + 6*v**6 + 2*v**f - 2*v**5 + 15*v**2 wrt v?
2520*v**3
Let n(t) be the third derivative of 0*t**4 + 0 + 27/70*t**7 + 0*t + 1/60*t**6 - t**2 + 115/6*t**3 + 0*t**5. Differentiate n(h) wrt h.
324*h**3 + 6*h**2
Let v(k) = 2*k**3 + 72*k**2 + 6*k - 655. Let a(g) = -4*g**3 - 144*g**2 - 10*g + 1305. Let c(w) = 3*a(w) + 5*v(w). Find the first derivative of c(y) wrt y.
-6*y**2 - 144*y
Let j(k) be the first derivative of 1829*k**7/7 + 1789*k**3/3 - 794. Find the third derivative of j(i) wrt i.
219480*i**3
Let l(t) be the first derivative of 4133*t**2 + 5700*t + 10481. What is the first derivative of l(h) wrt h?
8266
What is the second derivative of -36*x**3 - 12069*x**4 - 293*x + 12059*x**4 - 707*x wrt x?
-120*x**2 - 216*x
Suppose 15 = c + 3*g, -4*c + 0*g + 28 = 4*g. Find the first derivative of 7*f**c - 19 + 15*f**3 + 13*f**3 - 53*f**3 wrt f.
-54*f**2
Let x(z) be the third derivative of 191*z**6/8 + 651*z**3/2 + 51*z**2 - 2. Differentiate x(c) with respect to c.
8595*c**2
Let c(b) = 30*b**2 + 10319*b + 3281. Let l(t) = 13*t**2 + 4422*t + 1406. Let y(d) = 7*c(d) - 16*l(d). What is the first derivative of y(g) wrt g?
4*g + 1481
Let n = 5877 - 5877. Let i(a) be the second derivative of -2*a**3 + 0 + 0*a**2 - 19*a + 0*a**5 + 4/15*a**6 + n*a**4. Find the second derivative of i(s) wrt s.
96*s**2
Suppose -4*m + 19 = r, 5*r - 580*m = -582*m + 23. Let w(p) be the second derivative of 0 + 8/3*p**r + 2*p + 2*p**2. Differentiate w(o) wrt o.
16
Suppose -4*r + 3*r = 2*s - 4, 5*s + 4*r - 10 = 0. Suppose s*f + 4 + 0 = -3*u, 0 = -4*f + u + 20. Find the second derivative of 8*m - 792 + 792 - f*m**2 wrt m.
-8
Let a(b) be the first derivative of 256 + 56161*b**2 - 56161*b