(8). Find the third derivative of 21*s**2 + 7*s**k - 115*s**2 + 36*s**2 wrt s.
42
Let q(p) = -20*p - 2*p**2 + 9*p**2 - 20*p**2 + 4*p**2 + 60. Let x(m) = -25*m**2 - 60*m + 180. Let f(r) = 17*q(r) - 6*x(r). Differentiate f(z) with respect to z.
-6*z + 20
Let r(w) = 50*w**3 - w**2 + 110*w + 3. Let n(x) = 26*x**3 - x**2 + 55*x + 1. Let i(f) = -5*n(f) + 2*r(f). Find the second derivative of i(a) wrt a.
-180*a + 6
Let v(d) be the second derivative of 373*d**4/12 - 397*d**3/2 - 671*d. Find the second derivative of v(f) wrt f.
746
What is the derivative of 43304 + 4595*u**3 - 20582 - 12711 wrt u?
13785*u**2
Let p = 421 + -419. Find the second derivative of -58*f**4 - p*f + 161*f**4 - 189 + 181 wrt f.
1236*f**2
Suppose -57 - 129 = -2*s. What is the third derivative of -s*h**2 + 167*h**6 - 7*h**5 + 7*h**5 - 27*h**6 wrt h?
16800*h**3
Find the second derivative of -19 + 2822*p**2 + 126*p - 77*p + 1321*p**2 - 92*p wrt p.
8286
Let z(p) be the third derivative of 865*p**8/336 + 547*p**5/30 - 61*p**2 - 4*p. What is the third derivative of z(k) wrt k?
51900*k**2
Let w(x) = x + 1. Let i = 14 - -21. Let g(v) = -13*v**2 - 5*v - 7. Let a(j) = i*w(j) + 5*g(j). Find the second derivative of a(z) wrt z.
-130
Let z be 6/1*(3 - (-24)/(-9)). Let d(w) = 5 + z - 8. Let p(n) = 11*n - 12. Let b(q) = 3*d(q) - p(q). What is the first derivative of b(j) wrt j?
-11
Let b be 1*(-2 - (-1 - 3)). Find the third derivative of 26*z**2 - 55 - 10*z**3 - 15*z**2 - 11*z**3 - 10*z**b wrt z.
-126
Find the second derivative of 720*x**2 - 2318542*x + 2313284*x - 9829*x**2 wrt x.
-18218
Let h(k) = 2260*k**3 + 18*k**2 + 6*k - 7687. Let u(d) = -6785*d**3 - 51*d**2 - 17*d + 23061. Let n(f) = -17*h(f) - 6*u(f). Differentiate n(i) with respect to i.
6870*i**2
Let v(f) = -7326*f**3 - 9*f**2 + 6022. Let s(j) = -3663*j**3 - 4*j**2 + 3012. Let d(m) = -9*s(m) + 4*v(m). What is the first derivative of d(z) wrt z?
10989*z**2
Suppose 24*q = 110 + 10. Find the third derivative of 16*b**q + 10*b**5 + b + 9*b + 9*b**2 - 11*b**2 wrt b.
1560*b**2
Let m(s) be the second derivative of 8*s**7/105 - s**4 + 10*s**3 - 10*s. Let u(a) be the second derivative of m(a). Differentiate u(f) wrt f.
192*f**2
What is the second derivative of 1678*b - 2 - 607*b**2 + 1157*b + 75*b - 3079*b**2 wrt b?
-7372
Let n(s) be the first derivative of 0*s**2 + 0*s**4 + 137/5*s**5 + 0*s - 168 - 57*s**3. Find the third derivative of n(c) wrt c.
3288*c
Let i(k) be the second derivative of -94*k**4/3 - k**3/6 - 254*k**2 - 34*k + 26. Find the second derivative of i(o) wrt o.
-752
Let r(n) be the first derivative of 225*n**2/2 - 1226*n + 1633. Find the first derivative of r(a) wrt a.
225
Let k(x) = 42*x - 7. Let r be k(1). Find the second derivative of -5*m + 4 - 4 + 1 - 6 - r*m**3 wrt m.
-210*m
Let o(p) be the first derivative of 0*p + 1/4*p**4 + 0*p**2 - 2/5*p**5 + 50 + 20*p**3. What is the third derivative of o(a) wrt a?
-48*a + 6
Let p(v) = -8700*v + 22554. Let s(g) = 4351*g - 11256. Let y(m) = 2*p(m) + 5*s(m). Find the first derivative of y(d) wrt d.
4355
Let b(w) be the first derivative of 217*w**4/2 + 11*w**3/3 + 6349*w**2 - 737. Find the second derivative of b(m) wrt m.
2604*m + 22
Suppose -3*a - 8*o - 2 = -4*o, 2*o = -4*a + 4. Let y = 3 - 1. Differentiate -3*c - 172*c**2 + 300*c**2 + a*c - 17 - 158*c**y with respect to c.
-60*c - 1
Let o(d) = 157*d**2 - 15*d + 632. Let n(i) = -313*i**2 + 28*i - 1263. Let j(k) = 6*n(k) + 11*o(k). Find the first derivative of j(l) wrt l.
-302*l + 3
Let l(m) = -m - 12. Let p be l(-16). Suppose -5*d + p*g = -31, -4*d - g = g - 4. Find the second derivative of 4*k**3 - 6*k**d - 41*k + 31*k wrt k.
-12*k
Let y(o) be the first derivative of -43 + 9*o - 9/5*o**5 + 0*o**3 + 5/2*o**2 + 0*o**4. Differentiate y(d) wrt d.
-36*d**3 + 5
Let y(p) be the first derivative of 4428*p**5/5 + 4*p**3/3 - p**2/2 + 155*p + 2546. What is the third derivative of y(u) wrt u?
106272*u
Let j = 0 + 0. Suppose -3*k = -2*i - 15, -3*i - 5 - 4 = 0. What is the third derivative of -1912*g**2 + 1880*g**2 - 6*g**k + j*g**3 wrt g?
-36
Let g(r) be the third derivative of 215*r**4/6 + 5843*r**3/6 - 8*r**2 + 398*r. What is the derivative of g(u) wrt u?
860
Let n(r) = -7*r**4 - 723*r**3 + 37*r**2 - 6*r - 10. Let c(s) = s**4 - s**2 + s + 1. Let q(t) = -6*c(t) - n(t). What is the third derivative of q(w) wrt w?
24*w + 4338
Let k(s) = s**2 - s - 1. Let v(t) = -t**3 + 5*t**2 - 66*t + 50. Suppose -2*y = -13 + 11. Let u(a) = y*v(a) - 5*k(a). What is the derivative of u(m) wrt m?
-3*m**2 - 61
Let g(u) be the second derivative of 1025*u**3/3 - 752*u**2 + 135*u. Differentiate g(x) wrt x.
2050
Suppose -36 + 30 = -2*v. Let m be (1/v - 2)*6/(-5). What is the third derivative of -44*n**m - 12*n**2 + 31*n**4 + 19*n**2 wrt n?
744*n
Let t(k) be the first derivative of k**5/10 + 5*k**4/12 - 32*k**2 + 86*k + 88. Let h(g) be the first derivative of t(g). What is the derivative of h(f) wrt f?
6*f**2 + 10*f
Let i(b) = -4136*b**3 - 44*b**2 + 9021. Let k(m) = -827*m**3 - 8*m**2 + 1804. Let x(y) = -2*i(y) + 11*k(y). Differentiate x(t) wrt t.
-2475*t**2
Let c(o) = -21*o - 24. Let g be c(-5). Let z = g + -36. Find the third derivative of -m**2 - 13*m**5 + 7*m**5 - 37*m**5 - z*m**2 wrt m.
-2580*m**2
Let b(g) be the first derivative of 0*g**4 + 0*g - 113/5*g**5 - 90 + 13/3*g**3 + 0*g**2. Find the third derivative of b(j) wrt j.
-2712*j
Let s(q) be the second derivative of 1257*q**7/7 + 5945*q**4/6 - 92*q + 80. What is the third derivative of s(h) wrt h?
452520*h**2
What is the third derivative of -g**4 - 1255*g**2 - 13*g - 16*g**3 - 6*g - 13*g - 588*g**2 + 31*g wrt g?
-24*g - 96
Let o(y) be the second derivative of -63/20*y**5 + 325/2*y**2 + 0*y**3 - 9*y + 1/6*y**4 + 0. Differentiate o(w) wrt w.
-189*w**2 + 4*w
Differentiate 312*b**2 - 930*b**2 - 1209 - 807*b**4 + 312*b**2 + 306*b**2 with respect to b.
-3228*b**3
Let k = 517 + -432. Find the third derivative of k*w**6 - 3 - 2646*w**2 + 1 + 2541*w**2 wrt w.
10200*w**3
Let a be -5 + -2 - -1 - -11. Find the third derivative of -58*t + 112*t + 64*t**3 - 52*t + a*t**2 + 83*t**3 wrt t.
882
Let v(p) = -2*p**2 + 16*p - 791. Let c(j) = -8*j**2 + 49*j - 2352. Let q(f) = -2*c(f) + 7*v(f). Find the first derivative of q(r) wrt r.
4*r + 14
Let w(n) = -148*n**3 - 10*n**2 - 5362*n. Let x(a) = 295*a**3 + 21*a**2 + 10714*a. Let g(i) = -9*w(i) - 4*x(i). Find the second derivative of g(c) wrt c.
912*c + 12
Let w be (-10*3/6)/(7 + -8). What is the third derivative of w*q**2 - 26*q**3 + q**6 + 199*q**4 - 199*q**4 + 3*q wrt q?
120*q**3 - 156
Find the third derivative of -2233*d**2 - 148*d**3 + 453*d**3 + 1701*d**3 + 73*d**3 wrt d.
12474
Find the second derivative of 68*d**3 - 243*d**3 + 204*d + 577*d wrt d.
-1050*d
Let m(j) be the first derivative of 0*j**2 - 1/4*j**4 - 2/5*j**5 + 91 + 0*j**3 + 136*j. Find the first derivative of m(s) wrt s.
-8*s**3 - 3*s**2
Suppose -v - 10 = 4*h, 42 = -4*v - h + 62. Find the second derivative of -22 + v - x**2 - x + 14 + 64*x**3 + 0*x wrt x.
384*x - 2
What is the first derivative of -36*q**3 + 45*q**3 - 12*q + 20 + 4*q - 31*q**3 - 36*q**3 wrt q?
-174*q**2 - 8
Let v(r) be the second derivative of -155*r**3/6 - 514*r**2 + 10*r. Differentiate v(k) with respect to k.
-155
Let u(g) be the first derivative of 77*g**6/6 - g**4/4 - 2*g**3/3 - 87*g**2/2 - 524. Find the third derivative of u(m) wrt m.
4620*m**2 - 6
Let d = -71 + 72. Suppose 0 + d = 3*o - 2*h, -2*h = 5*o - 7. What is the first derivative of 5*l + 9 + l + o - 22 wrt l?
6
Let u(c) be the second derivative of -281*c**6/10 - 387*c**2/2 - 2*c + 559. Differentiate u(o) wrt o.
-3372*o**3
Let v(y) be the first derivative of 1328*y**2 + 1884*y - 228. What is the first derivative of v(o) wrt o?
2656
Let n(s) = -2043*s**2 + 2138*s - 6. Let j(g) = 3*g**2 - 4*g + 1. Let r(q) = 6*j(q) + n(q). What is the second derivative of r(t) wrt t?
-4050
What is the derivative of 4657*t**3 + 272*t**2 - 140*t**2 - 132*t**2 - 1627*t**3 - 533 wrt t?
9090*t**2
Suppose -x - 4*x = -3*x. What is the second derivative of 120*c**2 + 47353 - 47352 + x*c - 4*c wrt c?
240
Suppose -2*t + 0*t - 50 = 0. Let p be -4*(-21)/196 + t/(-7). Find the second derivative of 1654*h**3 - 17*h**p - 6*h - 1654*h**3 wrt h.
-204*h**2
Let y(l) = 9*l - 13. Let v(o) = 7632*o - 78. Let q(i) = -v(i) - 8*y(i).