80
Suppose -28 = -2*g - 3*q - 14, -g - 4*q = -12. Find the second derivative of 8*h**2 - 5*h**2 + h**g - 3*h**2 - h + 5*h**3 - 97 + 3*h wrt h.
12*h**2 + 30*h
What is the third derivative of 859*j**2 - 143*j**4 + 1932*j**2 - 558*j**4 wrt j?
-16824*j
Let j(c) = 1201*c**2 - 43*c - 3034. Let r(v) = -400*v**2 + 16*v + 1012. Let d(w) = -3*j(w) - 8*r(w). What is the first derivative of d(h) wrt h?
-806*h + 1
Let b(a) be the second derivative of 1/3*a**3 - 39/4*a**4 + 2*a - 60 + 9*a**2. Find the second derivative of b(s) wrt s.
-234
Let k be (-5)/15 + (-52)/(-12). Let n = 11 + k. What is the third derivative of -3*x**3 + n*x**2 + 7 - 7 - 2*x**3 wrt x?
-30
Let g(v) = v**3 + 4*v**2 + v + 1. Let h(n) = -1835*n**3 + 40*n**2 + 16*n - 1. Let z(x) = -3*g(x) - h(x). What is the third derivative of z(w) wrt w?
10992
Suppose 5*c + 0*u - 51 = -2*u, 0 = 5*c - 3*u - 61. What is the derivative of 85 - c*z**4 + 5*z**2 - 56 + 56 wrt z?
-44*z**3 + 10*z
Let t(k) be the second derivative of 57*k + 8/21*k**7 - 3/56*k**8 - 3/2*k**4 - 1/6*k**3 + 0 + 0*k**5 + 0*k**2 + 0*k**6. Find the third derivative of t(c) wrt c.
-360*c**3 + 960*c**2
Let t(c) be the third derivative of 103*c**7/210 + 3*c**6/20 + 1607*c**5/15 + 285*c**2 - c + 1. What is the third derivative of t(j) wrt j?
2472*j + 108
Let c = -25 + 30. Suppose -3*y - 10 = r - c*r, -5*y + 3*r - 2 = 0. Find the second derivative of 0*p + 24*p - 29*p**2 + y*p wrt p.
-58
Let m(g) = 3338*g**2 + 29*g - 9939. Let f(u) = -1669*u**2 - 13*u + 4972. Let k(a) = 9*f(a) + 4*m(a). Differentiate k(n) with respect to n.
-3338*n - 1
Let x(b) be the first derivative of -6*b + 0*b**5 - 1/6*b**6 + 2/7*b**7 + 72 + 0*b**4 + 0*b**2 + 2*b**3. What is the third derivative of x(t) wrt t?
240*t**3 - 60*t**2
Let h(t) be the second derivative of 17*t**7/7 + t**6/5 + t**5/10 + 1973*t**3/3 + 1243*t + 1. Find the second derivative of h(x) wrt x.
2040*x**3 + 72*x**2 + 12*x
Let r(i) be the second derivative of 34*i**7/7 + 165*i**4/4 + 33*i - 2. Find the third derivative of r(h) wrt h.
12240*h**2
Let l(q) = -61*q**3 - 3*q - 70. Let a(o) = -1326 - 1129 - 2624*o**3 - 553 - 128*o. Let d(h) = 3*a(h) - 128*l(h). Differentiate d(r) with respect to r.
-192*r**2
Let j(a) be the second derivative of -2*a**5/5 - 109*a**3/2 + 2931*a**2 + 3751*a. Differentiate j(f) with respect to f.
-24*f**2 - 327
Let r(y) = 1093*y**3 + 4*y**2 + 4*y + 997. Let i(z) = 2185*z**3 + 9*z**2 + 9*z + 1994. Let v(m) = 4*i(m) - 9*r(m). What is the derivative of v(f) wrt f?
-3291*f**2
Let g(y) = 17*y**3 - 3558*y**2 - 11109. Let a(p) = 6*p**3 - 1186*p**2 - 3703. Let q(o) = -11*a(o) + 4*g(o). What is the first derivative of q(v) wrt v?
6*v**2 - 2372*v
Suppose 0 = 7*d - 4 - 24. Suppose 2*i - 4*f + 2*f - d = 0, -i + 8 = f. What is the third derivative of -31*c**5 - 9*c**2 - 29*c**2 + 27*c**i wrt c?
-240*c**2
Let h(r) be the third derivative of 0*r**4 + 0*r**6 + 0*r**3 + 21*r**2 + 1 + 16/105*r**7 - 1/60*r**5 + 0*r. What is the third derivative of h(g) wrt g?
768*g
Let s be (3/(-2))/(-3)*(35 - 31). Find the first derivative of 213*r + 41 + 26*r**2 + r**3 - s*r**3 + 157 - 213*r wrt r.
-3*r**2 + 52*r
Suppose -2*p - 60 = -6*p. Let k be (p - 0)/(9/3). Find the first derivative of -k - 6 - 25*r**3 + 17*r**3 wrt r.
-24*r**2
Differentiate -u**3 - 230*u**4 + 4002 - u**4 + 376068*u - 376068*u - u**3 with respect to u.
-924*u**3 - 6*u**2
Find the first derivative of v**2 - 19*v**4 - 30*v**2 + 405 + 2934 + 13*v**2 wrt v.
-76*v**3 - 32*v
Suppose 19*t - 24*t = -25. Find the third derivative of 58*q**2 + 40*q**2 - 47*q**t - 1 + 29*q**5 - q**4 + 4*q**5 wrt q.
-840*q**2 - 24*q
Let v be (-6)/16 + (-714)/(-112). Suppose 12 = 10*c - v*c. Find the second derivative of -13*i**c + 1038*i**2 - 1038*i**2 + 2*i wrt i.
-78*i
Let j(n) be the third derivative of n**9/252 - 17*n**8/168 - 2*n**7/105 + 2191*n**5/60 - 1760*n**2. What is the third derivative of j(a) wrt a?
240*a**3 - 2040*a**2 - 96*a
Let q(f) = -145*f - 249. Let y(j) = -252*j + 338*j - 255 - 231*j. Let g(s) = 3*q(s) - 4*y(s). Differentiate g(u) with respect to u.
145
Find the second derivative of -3*n**2 - 1171*n + 3705*n - 1030*n**3 + 3205*n + 4565*n - 449*n wrt n.
-6180*n - 6
Let o(x) = -49*x - 23. Let h be (-1 - 0)*(-6)/(-2). Let i(a) = -16*a - 7. Let v(q) = h*o(q) + 8*i(q). Find the first derivative of v(f) wrt f.
19
Find the first derivative of i**2 - 7981 + i**2 + 2535*i**3 + 9104 - 2*i**2 wrt i.
7605*i**2
Let h(u) = -64*u - 4 - 59*u + 147*u. Let g = -128 + 129. Let n(c) = 2*c - 1. Let y(j) = g*h(j) + 3*n(j). What is the derivative of y(l) wrt l?
30
Let m(l) = 24*l**4 + 49*l**3 - 31*l**2 - 5. Let i(b) = 19*b**4 + 47*b**3 - 30*b**2 - 4. Let h(a) = 5*i(a) - 4*m(a). What is the third derivative of h(f) wrt f?
-24*f + 234
Let z(p) be the first derivative of -4*p**4 + 5*p**3/3 + 57*p - 20. Let c(a) be the first derivative of z(a). Find the second derivative of c(i) wrt i.
-96
Let h(c) = c**3 + 5*c**2 + 5*c + 2. Let b be h(-2). Differentiate 67*o**4 + 72 - 98*o**4 + 54*o**b wrt o.
92*o**3
Differentiate o**3 + 5825*o**4 - 1516*o**4 + o - 1190728 + 1196679 with respect to o.
17236*o**3 + 3*o**2 + 1
Suppose 5*b - 7*b - 96 = -5*v, -3*b + 86 = 4*v. Find the first derivative of 12 + v + 30*o - 175*o + 18 + 15 wrt o.
-145
Let u(h) = -8*h + 245. Let q be u(30). What is the second derivative of -113*d**5 - 122*d**q - 78*d - 96*d wrt d?
-4700*d**3
Let s(o) be the first derivative of 598*o**3/3 - o**2/2 - 1290*o + 2159. Find the first derivative of s(q) wrt q.
1196*q - 1
Let c be 2/3 + 28/12. Find the first derivative of 34*h**3 - 16*h**c - 104 - 12*h**2 - 19*h**3 - 6*h**2 wrt h.
-3*h**2 - 36*h
Let n(h) = 113*h**5 + 14*h**3 - 7*h**2 + 255*h + 14. Let k(d) = 2*d**3 - d**2 - 2*d + 2. Let p(w) = 7*k(w) - n(w). What is the second derivative of p(c) wrt c?
-2260*c**3
Suppose 2*s - b - 10 = 0, s - 4*b + 6*b = 0. Let o be ((3/s)/3)/((-2)/(-16)). Differentiate 70*h**2 + 70*h**2 + 8 - 152*h**o with respect to h.
-24*h
Let d(m) = -m**4 - m**2 - m + 3. Let l(n) = 35*n**4 - 13*n**3 - 7*n**2 - 7*n - 560. Let k(c) = 7*d(c) - l(c). What is the derivative of k(g) wrt g?
-168*g**3 + 39*g**2
Let n(v) be the second derivative of -29/5*v**5 + 0*v**3 + 4*v + 17 - 53/6*v**4 + 0*v**2. Find the third derivative of n(u) wrt u.
-696
Let a(m) be the second derivative of -171/2*m**2 + 0*m**4 + 0*m**3 + 97/20*m**5 - 107*m + 0. Find the first derivative of a(z) wrt z.
291*z**2
Find the second derivative of -26 - 26*f - 430689*f**2 + 2*f + 432260*f**2 wrt f.
3142
Find the second derivative of -548*g**5 + 329*g**5 - 854*g + 2*g**4 - 2*g**4 + 380*g**5 wrt g.
3220*g**3
Suppose -m - 5 = -1, m - 50 = -3*x. Differentiate 124 + 2*f**2 - f**3 - 6*f**3 - 21*f**3 + 4*f**3 - x*f**3 wrt f.
-126*f**2 + 4*f
Let r = 202 + -150. Find the third derivative of -69*k**2 + r*k**5 - 16*k**3 - 21*k**3 + 35*k**3 - 10*k**5 wrt k.
2520*k**2 - 12
Let v(i) be the first derivative of 4*i**3/3 + 8*i**2 - 9943*i + 3730. What is the derivative of v(c) wrt c?
8*c + 16
Let u(m) = -3*m - 47. Let o be u(-19). Suppose o = -d - d + 4*p, -5*d + 4*p = 1. What is the third derivative of 80*h**2 + 2*h**d - 85*h**2 - 5*h**3 wrt h?
-18
Let s(t) = -193*t**2 + 57 + 11 + 68. Let y(v) = -196*v**2 + 135. Let h(a) = 6*s(a) - 5*y(a). What is the derivative of h(r) wrt r?
-356*r
Find the first derivative of -170 - 22*c**3 - 4*c**2 - 102 - 36*c**3 + 4*c**2 wrt c.
-174*c**2
Let l(s) = -s**3 + 7*s**2 - 9*s - 4. Let q be l(3). What is the second derivative of 2*j - 2*j**4 + 9*j**4 - q*j**2 + 3*j - j**4 wrt j?
72*j**2 - 10
Suppose 2 = 2*l, -a + 3*l = 3*a - 21. Let x be 20/a + 2/3. What is the second derivative of -2 + 26*t - 22*t**5 - 2 + x wrt t?
-440*t**3
Let s(i) = -53*i - 13. Let o(a) = -52*a - 13. Suppose 3*n - 136 + 118 = 0. Let f(y) = n*o(y) - 5*s(y). What is the derivative of f(w) wrt w?
-47
Let f(n) be the first derivative of -102*n - 129 - 115/2*n**2. What is the derivative of f(a) wrt a?
-115
Suppose -3*f + s = -478, 3 + 1 = -4*s. Find the third derivative of 2241 - f*l**2 - 24*l**6 - 2241 + 2*l**4 wrt l.
-2880*l**3 + 48*l
Let t be (-42)/(-7) + 3*2/(-3). What is the second derivative of 10*j**t + 20*j**3 + 1575*j**2 + 306*j - 1575*j**2 wrt j?
120*j**2 + 120*j
Let r(c) be the second derivative of -249*c**8/14 - c**6/30 - c**5/20 + c**4/6 - c**3/3 +