 second derivative of 10703*k + 7253*k**3 + 2450*k - 998*k + 442*k wrt k.
43518*k
Let t = 1 - 47. Let i = t + 43. Let x(y) = -77*y**3 + 72. Let j(k) = -26*k**3 + 24. Let w(c) = i*x(c) + 8*j(c). Differentiate w(h) wrt h.
69*h**2
Let n(y) = 126 + 54 - 17*y**2 - 1496*y + 750*y + 746*y. Let x(k) = 53*k**2 + k - 542. Let m(w) = -7*n(w) - 2*x(w). Find the second derivative of m(z) wrt z.
26
Find the first derivative of -249 - 92689*i - 97 + 95193*i wrt i.
2504
Let c(y) = 5. Let v(j) = 1487*j - 2064. Let l(p) = -2*c(p) - v(p). What is the derivative of l(x) wrt x?
-1487
Let p(s) be the third derivative of -17*s**7/210 - 17*s**5/30 + 10145*s**3/6 + 20*s**2 + 23*s. Find the first derivative of p(m) wrt m.
-68*m**3 - 68*m
Suppose 0*z - 2*z - 18 = -q, -4*q + 36 = 4*z. Let m be q/(-48) - (-21)/4. Find the second derivative of 2*v - 18*v - 8*v + m*v**2 wrt v.
10
Let g(u) = u**3 - 10*u**2 - 23*u + 314. Let h be g(8). Let a be (5 + -2)*(1 - 0). What is the second derivative of h*b**3 - 4*b - 3*b**a - 37*b**3 - b**3 wrt b?
-234*b
Let i(c) be the first derivative of 3087*c**4/4 - 22*c**3/3 + 3*c**2/2 + 3*c - 7681. Find the third derivative of i(x) wrt x.
18522
Let o(l) = -143*l**3 - 121*l**2 + 6. Let m(x) = -1. Suppose 10*r + 5 = -45. Let c(y) = r*m(y) - o(y). What is the third derivative of c(d) wrt d?
858
Let w(r) be the third derivative of 0*r**4 + 0 + 1/30*r**5 + 0*r**7 + 0*r**6 - r + 15/2*r**3 + 2*r**2 - 3/56*r**8. What is the third derivative of w(b) wrt b?
-1080*b**2
Let y(h) = 2159*h**3 + 6*h**2 + 9*h + 879. Let q(v) = -v**3 - 2*v**2 - 3*v + 3. Let a(z) = -3*q(z) - y(z). Differentiate a(b) with respect to b.
-6468*b**2
Let z(o) be the second derivative of -407*o**4/3 + 1192*o**3/3 + o**2/2 - 2861*o + 1. What is the second derivative of z(x) wrt x?
-3256
Suppose 30 = -t + 4*t + 5*w, -3*t = w - 30. Find the third derivative of -33*g**3 + g**2 - 24*g - t + 24*g - 11 wrt g.
-198
Let x = -1 - -3. Let z(k) = 119*k**4 + 5*k**2 - 5*k + 80. Let t(h) = 59*h**4 + 2*h**2 - 2*h + 40. Let m(y) = x*z(y) - 5*t(y). Differentiate m(r) wrt r.
-228*r**3
What is the second derivative of 2178*a**2 - 2697242 + 2069*a**2 + 8242*a + 4292*a**2 + 2697242 wrt a?
17078
Let c(m) = 110*m - 95. Let z be c(3). Find the third derivative of 235 - 219*h**2 - z + 89*h**3 + 169*h**3 wrt h.
1548
Let a(g) be the second derivative of -987*g**5/2 + 7*g**4/12 + g**3/3 - 3*g**2/2 + 10044*g. Find the third derivative of a(o) wrt o.
-59220
Let i(h) = -9*h - 134. Suppose -24*z - 20 - 124 = 0. Let k(o) = -12*o - 135. Let s(w) = z*k(w) + 5*i(w). What is the first derivative of s(f) wrt f?
27
Let j(t) = 557*t**5 + 6*t**3 + 222*t**2 + 2*t - 1. Let s(w) = -w**5 + 3*w**3 + w. Let h(g) = -j(g) + 2*s(g). What is the third derivative of h(l) wrt l?
-33540*l**2
Let l(z) = -1063*z**2 + 66*z + 9. Let o(c) = 5315*c**2 - 328*c - 46. Let v(h) = 11*l(h) + 2*o(h). Find the second derivative of v(k) wrt k.
-2126
Suppose -8*n - 60 = -3*n. Let a be -273*(n/3)/12. Find the third derivative of -91 + 2*t**2 - 12*t**4 + a wrt t.
-288*t
Let c(h) be the third derivative of -1579*h**6/30 + 268*h**4 - 8589*h**2. Find the second derivative of c(s) wrt s.
-37896*s
Let f(t) be the second derivative of 0*t**5 - 22*t + 0*t**2 + 23/2*t**3 + 0 - 53/30*t**6 + 0*t**4. Find the second derivative of f(b) wrt b.
-636*b**2
Let f(q) = -8*q - 69. Let u be f(-9). Find the second derivative of -16*v**4 + 2 - 21*v**4 - 19*v**4 + 24*v + 61*v**4 + 3*v**u wrt v.
60*v**2 + 18*v
Let b(d) be the second derivative of -d + 0*d**3 + 177/2*d**2 - 199/12*d**4 + 16. Find the first derivative of b(g) wrt g.
-398*g
Let c(p) be the second derivative of 268*p + 19/6*p**7 + 0*p**5 + 0*p**6 + 0 - 14*p**3 + 0*p**4 + 0*p**2. What is the second derivative of c(s) wrt s?
2660*s**3
What is the second derivative of -172*y - 7 - y**2 - 867*y**4 + 1349*y - 232*y**4 + 7 wrt y?
-13188*y**2 - 2
Suppose 26*h - 34*h = -48. Find the third derivative of v**2 + 4631*v + 10*v**5 + 5*v**h - 4*v**2 - 4663*v wrt v.
600*v**3 + 600*v**2
What is the second derivative of -2*i**3 + 204*i - 1351*i**4 + 248*i + 2*i**3 + 403*i**4 wrt i?
-11376*i**2
Let y(d) be the second derivative of -1297*d**5/4 + 5*d**4/12 - 14*d**3/3 - 3*d**2/2 - 3175*d. What is the third derivative of y(q) wrt q?
-38910
Find the second derivative of -18*z - 7*z**5 + 8*z**5 + 134*z**4 - 645 + 659 - 2*z**5 wrt z.
-20*z**3 + 1608*z**2
Let s be (-39)/26*((-3)/9 + -1). What is the first derivative of -10 - s*l**2 + 56*l - 3*l**2 - 60*l wrt l?
-10*l - 4
What is the third derivative of 1610*r**3 + 212*r**3 - 1914*r**2 + 359*r**2 wrt r?
10932
Suppose -3921 = 6*g - 23655. What is the third derivative of 0*c**2 + 112*c**5 + 4*c**2 - 3299*c + g*c wrt c?
6720*c**2
Let z(u) be the second derivative of 242*u**6/15 - 94*u**4/3 - u**3/2 + 721*u - 2. What is the third derivative of z(f) wrt f?
11616*f
Let v = -46 + 49. Let y be v/(88/56 - (-4)/(-7)). Differentiate 122 + 116 - 222 + 15*z**y wrt z.
45*z**2
Let j(f) = -f**2 - 4*f + 2. Let c be j(-3). Suppose -t = 4*y - 10, 1 = c*y - 4*t - 1. What is the derivative of -8 - 5 - y - 19*d wrt d?
-19
Suppose 7*l + 0*l + 35 = 0. Let g be (l - -3)/((-2)/1) + 10. What is the first derivative of -3 + 3*w - g + 8*w - 5*w wrt w?
6
Let i(g) = -78*g**2 - 5. Suppose 30 = -2*y - 2*s, 15*s = 14*s. Let n(m) = 545*m**2 + 35. Let h(u) = y*i(u) - 2*n(u). What is the first derivative of h(p) wrt p?
160*p
Let w be -6 - ((-505)/5 - 3). Find the second derivative of -29*u**2 + 45*u + w - 98 wrt u.
-58
Let d(p) = 3542*p + 3617. Let q(y) = 35420*y + 36176. Let v(i) = -49*d(i) + 5*q(i). Find the first derivative of v(n) wrt n.
3542
Find the third derivative of -101 + 3*h**5 - 3*h**3 - h - 53 - 126*h**2 + 6*h**5 + 20*h**4 + 121*h**2 wrt h.
540*h**2 + 480*h - 18
Find the third derivative of -2289*i**2 - 295*i**5 + 1 + 1244*i**2 - 5 + 3 + 3 wrt i.
-17700*i**2
Let q(o) be the second derivative of 343*o**5 + 5017*o**4/12 + 433*o - 6. What is the third derivative of q(c) wrt c?
41160
Suppose 2*m - 3 + 1 = 0. Suppose 0 = -n - m + 3. What is the third derivative of -o**6 + 2*o**6 + 3*o**2 - 2*o**2 - 4*o**n wrt o?
120*o**3
Let h(k) be the first derivative of 509*k**4 + 2*k**3/3 - 3901*k**2/2 - 5272. What is the second derivative of h(c) wrt c?
12216*c + 4
Let f be ((-1)/(9/108))/(-3 + 1). Differentiate -9 + 46*d**3 + 41 + f with respect to d.
138*d**2
Let i(t) be the second derivative of -99*t**5/5 + t**4/6 + 1103*t**2/2 + 401*t. What is the derivative of i(p) wrt p?
-1188*p**2 + 4*p
Let z(c) = -18090*c**3 - 83*c**2 - 735. Let h(r) = -10854*r**3 - 50*r**2 - 441. Let g(i) = -13*h(i) + 8*z(i). Find the third derivative of g(j) wrt j.
-21708
Let j(i) be the second derivative of 4*i**7/21 - 6*i**5/5 - 1358*i**3/3 - 59*i + 3. What is the second derivative of j(m) wrt m?
160*m**3 - 144*m
Suppose 2*b = 57 - 15. What is the third derivative of -12*g**5 - 10*g**2 - b*g**2 - 22*g**5 wrt g?
-2040*g**2
Suppose i + i + 4*i = 0. Suppose 0 = 4*d - 2*c + c - 20, i = c + 4. Find the second derivative of -61*v**d + 24*v**4 + 27*v**4 - 5*v wrt v.
-120*v**2
Let c(m) = -m**2 + 37*m - 970. Let y(q) = -34*q + 969. Let h(z) = 7*c(z) + 8*y(z). Find the first derivative of h(a) wrt a.
-14*a - 13
Let z(a) = -a**2 + 2*a - 1. Let c(s) = -12*s - 76*s**2 + 26 - 13 + 64*s**2. Let q(p) = -c(p) - 6*z(p). Differentiate q(u) with respect to u.
36*u
Let r(n) = 46*n - 8. Let f(x) = 83 - 91*x + 65 - 131. Let g(q) = 3*f(q) + 5*r(q). Differentiate g(t) with respect to t.
-43
Let q(z) be the first derivative of 348*z**3 + z**2/2 - 2535*z - 3994. What is the second derivative of q(m) wrt m?
2088
Differentiate -8*h**4 + 7*h**4 - 2721 + 289*h**2 + 2*h + 10143 + 2*h**4 with respect to h.
4*h**3 + 578*h + 2
Suppose 4*k + 35 = 55. Suppose -a = 9*a - 280. Find the first derivative of -7 - 9 - a*t**2 + k + 18*t**2 wrt t.
-20*t
What is the second derivative of 973*i + 710*i - 544657*i**4 + 546080*i**4 wrt i?
17076*i**2
Let x(g) = 4*g - 138. Let h be x(35). What is the third derivative of 98*b**6 - 148*b**6 + 7 + b**2 + 5*b**h wrt b?
-6000*b**3
Let r(n) = 5*n**2 - 141*n + 1. Let u be r(29). What is the third derivative of 36*m**2 + 60*m**3 + 149*m**3 - 106*m**2 - u*m**2 wrt m?
1254
Differentiate 277*v**2 - 18*v - 15*v + 55*v - 12*v - 521 - 13*v wrt v.
554*v - 3
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