t to c.
-96*c**3
Let a(w) = -54*w**4 - 6*w**2 + w + 17. Let z(t) = t**2 - t. Let b(p) = a(p) + 6*z(p). Find the second derivative of b(h) wrt h.
-648*h**2
Let c = -8 - -9. Let s = 5 - c. What is the third derivative of -2*k**2 + 4*k**2 - k**4 + k**4 - 3*k**s wrt k?
-72*k
Suppose 4271 + 9565 = 6*k. What is the third derivative of -5*i**5 - 2306*i + 22*i**2 + k*i wrt i?
-300*i**2
Let j(g) be the first derivative of 20*g**6 - 164*g**3/3 - g**2/2 + 29. Find the third derivative of j(t) wrt t.
7200*t**2
Let y(z) be the second derivative of z**5/20 - 19*z**4/4 - 26*z**2 + 94*z. What is the first derivative of y(l) wrt l?
3*l**2 - 114*l
Let x(q) = 2*q - 30. Let o be x(17). Differentiate -4*k - 17*k**3 - 11 + o*k - 25 wrt k.
-51*k**2
Let h(g) be the first derivative of 0*g - 14/3*g**3 - 1 - g**2. What is the second derivative of h(i) wrt i?
-28
Let v = 5 + -2. What is the third derivative of 5*a**2 - 49*a**v + 65*a**3 + 7*a**2 wrt a?
96
Suppose -5*o = 5*r - 40, -2*o = 4*r + o - 30. Let v = -6 - -6. Find the third derivative of -4*k**r + 2*k**6 + 2*k**2 + v*k**2 + 0*k**6 wrt k.
-240*k**3
Let r(f) be the second derivative of -5*f**8/56 + 13*f**6/30 + 2*f**4 - 2*f**2 - 3*f + 25. Find the third derivative of r(y) wrt y.
-600*y**3 + 312*y
What is the second derivative of -4*s**3 + 399*s + 18*s**2 + 7*s**3 + 14*s**2 + 247*s + 64*s**2 wrt s?
18*s + 192
Let s(q) = 25*q + 28*q + q**2 - 52*q. Let w(f) = -22*f**2 - 6*f - 9. Let c(n) = 6*s(n) + w(n). Find the first derivative of c(y) wrt y.
-32*y
Let t(q) = -2*q + 28. Let c be t(12). What is the second derivative of 11*j - j**c - 9*j + 28*j wrt j?
-12*j**2
Suppose -12 = 4*f, -3*f = -4*q + q + 96. What is the derivative of 7 - 57 + q*j**3 + 23 wrt j?
87*j**2
Let w(v) be the third derivative of -5*v**2 + 5/12*v**4 + 5/3*v**3 + 0*v + 0. Differentiate w(c) with respect to c.
10
Let h(v) = -12*v + 21. Let x(s) be the first derivative of -6*s**2 + 20*s + 14. Let f(q) = -4*h(q) + 5*x(q). Differentiate f(d) wrt d.
-12
Let a(p) be the second derivative of p**7/105 - 5*p**4/8 + 2*p**2 - 22*p. Let m(x) be the first derivative of a(x). Find the second derivative of m(z) wrt z.
24*z**2
Let u = -522 - -525. Let n(c) be the third derivative of 6*c**2 + 0 + c**u + 0*c**4 - 1/10*c**5 + 0*c. What is the derivative of n(k) wrt k?
-12*k
Let i(p) = 6*p**2 - 2*p**2 - 12*p - 5*p**2 - 8 - 7. Let c be i(-10). Find the third derivative of 91*l**c - 91*l**5 + l**6 + 6*l**2 wrt l.
120*l**3
Let u(b) be the third derivative of -b**7/630 + b**5/120 - b**4/12 - 3*b**2. Let v(r) be the second derivative of u(r). Differentiate v(p) with respect to p.
-8*p
Let b = 19 + -13. Suppose 4 - b = -m. Differentiate -5 + m + 4*q**3 - 3 - 5*q**3 wrt q.
-3*q**2
Let i be (-15 - -9)*2/(-4). Find the first derivative of -12 + 3*h**3 + 8*h**i + 4 - 2 wrt h.
33*h**2
Let m(z) be the first derivative of 11 + 3*z + 0*z**3 + 0*z**2 - 27/5*z**5 + 0*z**4. Differentiate m(o) wrt o.
-108*o**3
Let s(j) = 57*j**2 - 4*j + 72. Let r(y) = 229*y**2 - 18*y + 287. Let z(a) = 2*r(a) - 9*s(a). Differentiate z(o) wrt o.
-110*o
Let i = -133 - -150. Find the third derivative of -615*x + 0*x**3 + 615*x - 2*x**3 - i*x**2 - 4*x**5 wrt x.
-240*x**2 - 12
Let y be 38/14 + (-6)/(-21). What is the third derivative of -y*g**5 - 47*g**2 + 48*g**2 + 0*g**5 wrt g?
-180*g**2
Let x(f) be the first derivative of 0*f**6 + 0*f**5 + 4/3*f**3 + 0*f**2 - 1/4*f**4 - 7*f + 44 - 2/7*f**7. Find the third derivative of x(c) wrt c.
-240*c**3 - 6
Let o = 1 - -4. Suppose -8*f + 3*f + 15 = 0. What is the first derivative of o*u**4 - 75 + f*u - 3*u + 65 wrt u?
20*u**3
Let c(t) be the third derivative of -t**5/20 + t**4/24 + 46*t**3/3 - 16*t**2. Differentiate c(x) with respect to x.
-6*x + 1
Let m = -2377 - -2377. Let t(z) be the second derivative of m - 3/10*z**5 - 10*z + 0*z**2 + 4/3*z**3 + 0*z**4. Find the second derivative of t(h) wrt h.
-36*h
Let g be 4/24 - (-17)/6. What is the second derivative of -38*p + 6*p**5 - 5*p**5 + 2*p**5 + 8*p**g wrt p?
60*p**3 + 48*p
Let n(i) = -17*i**4 + 193*i**3 - 4*i + 9. Let o(u) = -8*u**4 + 97*u**3 - u + 4. Let b(a) = -4*n(a) + 9*o(a). What is the second derivative of b(z) wrt z?
-48*z**2 + 606*z
Let p(c) = -2*c - 1. Let b be p(-4). Suppose -4*a - 9 = -b*a. Differentiate -1 + a + 1 + 2 + 4*x with respect to x.
4
Let m(f) be the second derivative of 43*f**5/10 - f**4/6 + 35*f**2/2 - 2*f + 8. Differentiate m(a) with respect to a.
258*a**2 - 4*a
Let v(o) = -1350*o**3 - 22*o**2 + 1016*o - 11. Let t(x) = -337*x**3 - 6*x**2 + 254*x - 3. Let i(f) = 11*t(f) - 3*v(f). Find the second derivative of i(w) wrt w.
2058*w
Suppose y = 2*v + 4, 0 = y - 4*v + 3*v - 4. Let h be 7*((-1)/(-1))/1. What is the second derivative of -p + h*p**4 - 5*p - 2*p**y wrt p?
60*p**2
Find the third derivative of 787*j**2 + 140*j**4 - 1574*j**2 + 33*j**4 + 786*j**2 wrt j.
4152*j
Let j(l) be the third derivative of -l**7/210 + 14*l**6/5 - 10*l**3 - 13*l**2 + 1. What is the first derivative of j(m) wrt m?
-4*m**3 + 1008*m**2
Let b be -2*(-39)/12 + (-1)/(-2). What is the third derivative of -13*f**2 + b*f**4 - 8*f**2 + 0*f**2 - 33*f**4 wrt f?
-624*f
Suppose 2*h - 2*t - 72 = 2*t, 5*h + 3*t = 219. Find the second derivative of h*y**2 - 58*y**2 - 34*y + y wrt y.
-32
Let i(q) = -2105*q**2 + 163*q - 13. Let x(c) = -1404*c**2 + 107*c - 9. Let u(o) = -5*i(o) + 8*x(o). What is the second derivative of u(j) wrt j?
-1414
Let c be (1 - 4)*(3 + -4). What is the first derivative of 11 + 4*w - c*w - 24*w wrt w?
-23
Let i(s) be the second derivative of 245*s**4/12 - s**3/6 + 137*s**2/2 - 206*s. Find the second derivative of i(w) wrt w.
490
Let q = 16 + -13. What is the derivative of -q - 7 + 17*g**3 - 7 wrt g?
51*g**2
Let s be 15/20 + (-321)/(-4) + 2. Find the second derivative of 30*h**4 - 44*h + s*h - 37*h wrt h.
360*h**2
What is the derivative of 1345919*o - 241 - 1345919*o - 113*o**2 wrt o?
-226*o
Let k(m) = 107*m**3 + 81*m**2 + 3. Let c(u) = -216*u**3 - 163*u**2 - 7. Let q(r) = 3*c(r) + 7*k(r). Find the third derivative of q(b) wrt b.
606
Let a(y) = -31*y**3 - 7*y**2 + 3*y + 31. Let x(v) = 15*v**3 + 4*v**2 - 2*v - 15. Let f(d) = -4*a(d) - 7*x(d). What is the second derivative of f(j) wrt j?
114*j
Let i = 63 - 55. Find the third derivative of -10*k**3 - 6*k**2 - 2*k**2 + 2*k**2 - i*k**3 wrt k.
-108
Find the second derivative of -10 - 123*y**2 + 0 + 3 + 133*y + 7 wrt y.
-246
Let s(r) be the first derivative of 0*r**2 + 6*r**4 + 25 + 34/3*r**3 + 0*r. What is the third derivative of s(p) wrt p?
144
Find the first derivative of 209124*l**2 + 27*l**3 - 588 - 209124*l**2 wrt l.
81*l**2
Let r(n) be the first derivative of 2 + 0*n**3 - 23/4*n**4 + 0*n**2 - 28*n. What is the derivative of r(l) wrt l?
-69*l**2
Let b(i) be the second derivative of -27*i - 17/6*i**3 + 11*i**2 + 0. Find the first derivative of b(h) wrt h.
-17
Let i(j) be the third derivative of -7*j**5/15 + 5*j**4/4 - j**3/2 - 618*j**2. Find the second derivative of i(o) wrt o.
-56
What is the derivative of 457 + 185*u + 186*u - 371*u - 359*u**4 wrt u?
-1436*u**3
Let x(r) = 445*r**2 + 4*r + 455. Let v(l) = -l**2 + l - 6. Let a(g) = -4*v(g) + x(g). Differentiate a(t) with respect to t.
898*t
Let z(q) = -q**3 - 8*q**2 - 9*q - 8. Let h be z(-7). Find the second derivative of -8*t + h*t + 16*t**2 + 27*t wrt t.
32
Suppose 0 = -3*a - 4*w, 13*w - 18*w = 5*a. Let h(m) be the second derivative of 0*m**3 + 1/3*m**4 + 5/2*m**2 + 6*m + a. Differentiate h(s) wrt s.
8*s
Suppose 4 = -4*v, -m + 6*m - 3*v = 13. What is the first derivative of -5 + m*c**4 + 16 + 3*c**4 wrt c?
20*c**3
Suppose 3*d - 4*d = -4. Let b be (d + 0)*2/4. Find the third derivative of 5*c**3 + 2*c**3 + c**2 + c**b wrt c.
42
Let w(b) be the first derivative of 17/2*b**2 + 15 + 5/3*b**3 + 0*b. What is the second derivative of w(f) wrt f?
10
Suppose c - 15 = -4*l, 5*l + 4 - 22 = -2*c. Let p = l + -2. What is the derivative of -15*y**2 - 2 + 8*y**p + 5*y**4 + 7*y**2 wrt y?
20*y**3
Differentiate -149*k + 461 - 100 - 155*k - 386*k + 82*k with respect to k.
-608
Let o(p) = 50*p**5 - 3*p**4 + 11*p - 3. Let x(h) = -51*h**5 + 4*h**4 - 11*h + 3. Let v(m) = 4*o(m) + 3*x(m). Find the second derivative of v(g) wrt g.
940*g**3
Let u(d) = -25*d**3 + 2*d**2 + 2*d + 37. Let h(g) = g**4 - 51*g**3 + 5*g**2 + 5*g + 76. Let v(w) = -