t) wrt t.
-4
What is the second derivative of -49*f - 85*f + 15*f**2 + 13*f**3 - 8*f**2 - 4*f**2 - 4*f**2 wrt f?
78*f - 2
Let c(i) = -109*i**2 + 2*i - 78. Let r(j) = -325*j**2 + 6*j - 233. Let u(p) = -8*c(p) + 3*r(p). Find the second derivative of u(x) wrt x.
-206
Let d(s) be the first derivative of 199*s**3 - 111*s**2 - 83. What is the second derivative of d(i) wrt i?
1194
What is the third derivative of 4*j - 4*j**3 + 28*j**4 - 61*j**2 + 70*j**2 + 5*j wrt j?
672*j - 24
Let f(u) be the second derivative of -53*u**7/14 - 239*u**3/6 - 7*u - 30. What is the second derivative of f(r) wrt r?
-3180*r**3
Let s(b) be the second derivative of -b**6/30 - 667*b**5/20 - 725*b**2/2 + 222*b + 2. Differentiate s(i) wrt i.
-4*i**3 - 2001*i**2
Suppose 0 = -h - 3 + 8. Find the third derivative of -r**4 - 6*r**2 - h*r**2 + 4*r**4 - 2*r**4 wrt r.
24*r
Differentiate 206 - 14898*z**3 - z + 14898*z**3 - 73*z**4 + z with respect to z.
-292*z**3
Differentiate 84 + 73 + 41 - 6*n**3 + 1 + 3*n**4 with respect to n.
12*n**3 - 18*n**2
Let z(r) = -38*r**2 + 297*r. Let j(x) = 78*x**2 - 592*x. Let m(n) = 3*j(n) + 5*z(n). What is the second derivative of m(l) wrt l?
88
Differentiate -142 - 95 + 402*t**4 - 212 + 37 + 67*t**4 wrt t.
1876*t**3
Let u(f) = -3*f**2 + 3*f. Let y(x) = -x**2 + x. Let o = 47 + -33. Let a = 20 - o. Let n(t) = a*y(t) - u(t). What is the second derivative of n(j) wrt j?
-6
What is the second derivative of -12*u**3 - u**4 + 38*u + 18*u**3 + 44*u wrt u?
-12*u**2 + 36*u
Let x(v) be the first derivative of 0*v**6 + 0*v + 0*v**4 + 0*v**5 + 0*v**2 - 2*v**3 + 12/7*v**7 + 12. What is the third derivative of x(i) wrt i?
1440*i**3
Let d(j) be the third derivative of 0*j + 13/60*j**5 - 17*j**2 + 0 + 2*j**3 + 0*j**4. What is the first derivative of d(k) wrt k?
26*k
Let i be (3 - (-6)/10) + 9/(-15). Differentiate 18 - 8*u**i + 4*u**3 + 0 - 10*u**3 wrt u.
-42*u**2
Let p = -48 - -70. What is the second derivative of -2*a**5 - p*a - 91*a**2 + 91*a**2 wrt a?
-40*a**3
Let z(p) be the first derivative of 8 + 10*p + 7/2*p**2. What is the first derivative of z(k) wrt k?
7
Let y(c) = -c**3 + 6*c**2 + c + 5. Let p be y(4). Suppose 0 = 5*i - 3*x - p, -15 = -4*i + i - 3*x. Differentiate -1 + i*v**3 - 2*v**3 - 3 - 1 wrt v.
15*v**2
Let v(q) = -98*q**3 - 13*q**2 - 590*q. Let u(t) = 25*t**3 + 3*t**2 + 148*t. Let j(s) = 9*u(s) + 2*v(s). Find the second derivative of j(o) wrt o.
174*o + 2
Suppose 0 = -4*f - 0*f. Suppose -s - 3 = -b - f, 3 = b + 4*s. What is the second derivative of -b*w - 2 + 3*w**3 + 2 wrt w?
18*w
Let t = 44 + -39. What is the second derivative of -6*h - 17*h - 4*h**2 + t*h**2 wrt h?
2
Find the second derivative of -491*x + 12*x**3 + 103375 - 103375 - 5*x**4 wrt x.
-60*x**2 + 72*x
Suppose -26 = -4*u + 2*z, 0*u + 4*u + 3*z - 21 = 0. Find the third derivative of -3*a**2 - 3*a**u - 8*a**2 + 12*a**6 wrt a.
1080*a**3
Suppose -11 = -3*z - v, 2*z = -3*v + 12 - 0. What is the second derivative of -18*q**z - 15 + 15 - 28*q wrt q?
-108*q
Let a(v) be the first derivative of -91*v**2/2 + 74*v + 45. Differentiate a(l) with respect to l.
-91
Let s(v) be the first derivative of -v**8/42 + 9*v**5/20 + 17*v**2/2 - 14. Let d(b) be the second derivative of s(b). Find the third derivative of d(y) wrt y.
-480*y**2
Let c(r) = r**2 + 10*r + 7. Let j be c(-10). Suppose 0 = -z + j - 2. What is the third derivative of -z*d**6 - d**5 + d**2 + d**5 wrt d?
-600*d**3
Let g(l) = -95*l**4 - 9*l**3 + 167*l + 9. Let u(f) = -24*f**4 - 2*f**3 + 42*f + 2. Let w(y) = 4*g(y) - 18*u(y). Find the second derivative of w(b) wrt b.
624*b**2
Suppose -6*r = -2*r + g - 7, 5*g = -25. What is the first derivative of 10*t**2 - 5 - 10*t**2 - 10 + t**r wrt t?
3*t**2
What is the second derivative of 221*g**2 + 867 - 962*g - 867 wrt g?
442
Let z(g) = g**2 + g + 4. Let m be z(0). Suppose -2*j = j - 15. Find the second derivative of q**j - q + 7*q - m*q wrt q.
20*q**3
Let m = -22 + 25. Differentiate -3*g - 4*g + g - m + 7*g wrt g.
1
Let y be (2 + 4)/(6*7/462). What is the second derivative of -34*i - 36*i**4 + 126*i**3 - y*i**3 - 60*i**3 wrt i?
-432*i**2
Let m be (-12 - -5)*(-1)/1. Differentiate m - 7 + 25*f**2 + 1 + 3 wrt f.
50*f
Suppose b - 168 = -5*b. Differentiate -1 + 27*r**2 - b*r**2 + 13 with respect to r.
-2*r
Let k(o) be the first derivative of 125*o**4/4 + 5*o**3/3 - 33*o - 525. Find the third derivative of k(w) wrt w.
750
Suppose 9 = 3*a - a - o, 5*o + 31 = 3*a. Find the third derivative of u**4 - 4*u**2 - 4*u**4 - a*u**4 - u**4 wrt u.
-144*u
Let a(l) be the first derivative of 0*l - 5/2*l**4 - 10 - l**3 + 0*l**2. What is the third derivative of a(o) wrt o?
-60
Let w = 44 + -37. What is the derivative of -9 + w - 9 - 8 + 21*k wrt k?
21
Suppose -3*j = -4*j + 4*f + 19, 2*j - 2*f - 20 = 0. Let m = j - 3. Differentiate -14*w**4 - 6*w**m + 25*w**4 - 3 with respect to w.
20*w**3
Suppose 0*u - 27 = -3*x + 3*u, -5*u - 13 = -x. Suppose -5*b - d = -x, 2*b = 7*b + 5*d. What is the first derivative of b*t**4 + t**4 - 6 - 1 wrt t?
12*t**3
Let b = 388 - 386. Let c(r) be the second derivative of 1/2*r**b + 0*r**3 + 0*r**5 + 0 + 0*r**4 + 2/15*r**6 - 3*r. Differentiate c(g) wrt g.
16*g**3
What is the first derivative of -164 + 60 - 54 - 137*c**3 - 75*c**3 wrt c?
-636*c**2
Let y(k) be the second derivative of -k**5/20 - 137*k**4/6 - 621*k**2/2 - 46*k - 5. Differentiate y(p) with respect to p.
-3*p**2 - 548*p
Suppose -2*f = -3*n + n, 0 = -n - 5*f. Suppose -17 = y - 5*y - 3*u, n = -4*u + 12. What is the second derivative of y*z**4 - 3*z + 2*z**3 - 2*z**3 + 9*z wrt z?
24*z**2
Suppose 2 = 2*c - 2. Find the third derivative of 6*l**3 + 9*l**2 - 8*l**2 + 4*l**c wrt l.
36
Let r(y) be the third derivative of -73*y**6/120 + 13*y**4/6 - 11*y**2 + 1. Find the second derivative of r(o) wrt o.
-438*o
Let b(h) be the first derivative of 428*h**3/3 - h**2/2 + 18*h - 154. What is the second derivative of b(u) wrt u?
856
Let y(z) be the third derivative of 10*z**6/3 - 133*z**5/12 - z**2 - 287. What is the third derivative of y(c) wrt c?
2400
Let g(f) be the third derivative of -f**6/120 + 3*f**5/20 + 3*f**4/4 + f**3/2 - 13*f**2 + 3*f. Find the second derivative of g(v) wrt v.
-6*v + 18
Let j(o) be the third derivative of -13/105*o**7 + 2/3*o**3 + 0*o + 0*o**4 + 0*o**6 + 0 - 50*o**2 + 1/20*o**5. Find the third derivative of j(g) wrt g.
-624*g
Suppose -144 = -9*p + 5*p. Let o be p/8*(-2)/(-3). What is the third derivative of -o*q**2 + 3*q**2 + q**2 + 0*q**2 - 5*q**6 wrt q?
-600*q**3
Suppose -405*h = -392*h. Let q(w) be the second derivative of 0 - w + 4/3*w**3 - 1/3*w**4 + h*w**2. Find the second derivative of q(r) wrt r.
-8
Let r(i) be the second derivative of 2*i**5/5 + 3*i**3 - 15*i**2 - 140*i + 2. Find the first derivative of r(l) wrt l.
24*l**2 + 18
Suppose -4*c + 34 = -2*c. Let r(s) = s - 12. Let m be r(c). Find the second derivative of 2*q + 2*q**m - q + 4*q - 11*q**5 wrt q.
-180*q**3
Let t(k) be the first derivative of 2/3*k**3 + 43 + 0*k**2 - 24*k - 4*k**4. Differentiate t(a) with respect to a.
-48*a**2 + 4*a
Suppose 0*a - 4*a = -12. Suppose -17*w = -15*w - 12. Find the second derivative of a*y**2 - 8*y**2 - y - y**2 - w*y wrt y.
-12
Let z(d) be the third derivative of -158*d**5/15 + 671*d**4/24 - 2*d**2 - 48. Find the second derivative of z(n) wrt n.
-1264
What is the second derivative of 5*p**5 - 2*p + 6*p**2 - 8*p**3 - 2*p**5 - 3 - 4 - 6*p**2 wrt p?
60*p**3 - 48*p
Let v(w) be the first derivative of -3*w**3 + 0*w**2 - 10 + 5/2*w**4 + 0*w. What is the third derivative of v(n) wrt n?
60
Let y(l) be the first derivative of -5*l**8/28 + l**4/12 + 3*l + 6. Let w(i) be the first derivative of y(i). What is the third derivative of w(o) wrt o?
-1200*o**3
Let x(f) = 651*f**4 - 63*f**2 + 15344. Let d(s) = -21*s**4 + 2*s**2 - 495. Let b(p) = 126*d(p) + 4*x(p). What is the derivative of b(c) wrt c?
-168*c**3
Let g(w) be the first derivative of -3*w**3 - 4*w**2 - 356*w - 216. What is the derivative of g(r) wrt r?
-18*r - 8
Let v(z) be the first derivative of 3*z**6/2 - 4*z**3/3 + 19*z**2/2 + 25. What is the second derivative of v(d) wrt d?
180*d**3 - 8
Let m(r) be the first derivative of -198*r**5/5 - 73*r**2/2 - 102. What is the second derivative of m(o) wrt o?
-2376*o**2
Let f(o) = o**2 + 17*o + 32. Let i be f(-15). Let g(m) = 32*m + 23. Let 