20
Let h(w) = -922*w**3 - 1039*w. Let m(v) = -v**3. Let q(d) = -h(d) - 7*m(d). What is the second derivative of q(s) wrt s?
5574*s
Let z(o) be the second derivative of 0*o**2 + 19/14*o**8 + 0*o**5 - 1/3*o**3 + 0 - 55/12*o**4 + 0*o**7 + o + 0*o**6. Find the third derivative of z(y) wrt y.
9120*y**3
Let z(j) be the third derivative of 1079*j**6/120 - 953*j**5/30 - 1885*j**2. What is the third derivative of z(t) wrt t?
6474
Let p(z) be the first derivative of 3107*z**7/7 - z**3 + 73*z + 1955. Find the third derivative of p(b) wrt b.
372840*b**3
Suppose j - 92 = -27. Let u = j + -57. What is the second derivative of 2*c**5 - 23*c**3 + 23*c**3 - u*c - 23*c**5 wrt c?
-420*c**3
Suppose 0 = -1147*c + 1140*c + 14. Find the third derivative of -17*t**2 + 185*t**5 - 22*t**c + 0*t - 2 + 0*t wrt t.
11100*t**2
Let m(a) be the first derivative of 2*a**3/3 + 233*a**2 + 4209*a - 7605. Find the first derivative of m(x) wrt x.
4*x + 466
Let y be (-3)/6 - 14/4. Let r be 9/(-2)*y/9. Find the second derivative of 14*o**2 + 13*o - 2*o**r - 2*o**2 wrt o.
20
What is the third derivative of -4545*b**2 + 432*b**4 - 5*b**4 - 2*b**3 + 320*b**4 - 75*b**4 + 77*b**4 wrt b?
17976*b - 12
What is the third derivative of 37*o**3 - 218*o**2 - 256*o**3 - 323*o**3 - 195*o**3 wrt o?
-4422
Let o(d) be the first derivative of 4056*d**2 - 4250*d - 3176. What is the derivative of o(s) wrt s?
8112
Let j = -111 - -138. What is the second derivative of -u + u**2 + 7 + 9*u**2 + j + 31*u**2 wrt u?
82
Let s(p) be the third derivative of 541*p**8/84 - p**5/30 - 26*p**4/3 + 1454*p**2. What is the third derivative of s(a) wrt a?
129840*a**2
Let t(y) be the first derivative of -2691*y**5/5 + 2*y**3/3 + y**2/2 - 405*y - 2543. What is the second derivative of t(q) wrt q?
-32292*q**2 + 4
Let r = 117 + -103. Suppose -r = -33*l + 31*l. What is the derivative of -11 + l + 22*s**3 + 0 + 2 wrt s?
66*s**2
Let k(p) be the first derivative of -38*p**6/15 + 41*p**4/6 + 85*p - 111. Let a(v) be the first derivative of k(v). What is the third derivative of a(c) wrt c?
-1824*c
Let b be (70/4 - 75/(-30))*1. Find the third derivative of 21*c**5 - 42*c**5 - c**2 - 42*c - 18*c**3 + b*c**5 wrt c.
-60*c**2 - 108
Let o be ((-3)/6 + 2)/((-1)/(-22)). What is the second derivative of 5051*v + 14*v**3 + o*v**3 - 5059*v - 1 wrt v?
282*v
Suppose 75 = -r + 26*r. What is the first derivative of 3137 - 3156 + 26*b**3 - 168*b**r wrt b?
-426*b**2
Suppose -4*a + d = -2 - 3, -a + 8 = 2*d. What is the third derivative of -83*t**6 - 3*t + 85*t**6 - 168*t**a + 126*t**6 + 3*t wrt t?
15360*t**3
Let d(y) be the first derivative of -2860*y**3/3 + 2721*y**2/2 - 3736. Find the second derivative of d(c) wrt c.
-5720
Let q(k) be the third derivative of 439*k**8/56 + 159*k**5/20 + k**4/12 + 267*k**2 + 3. What is the third derivative of q(f) wrt f?
158040*f**2
Let y(s) = s**3 + 30*s**2 - 63*s + 48. Let m be y(-32). Find the first derivative of -32 - 18*l - 102 + l + m - 2*l**3 wrt l.
-6*l**2 - 17
Let o(x) be the third derivative of -16*x**5/15 - 5*x**4/24 - 886*x**3/3 + 2*x**2 + 704. Find the first derivative of o(v) wrt v.
-128*v - 5
What is the second derivative of 3*o - o**2 + 1363*o**5 - 1752032*o**3 + o**2 + 1752032*o**3 wrt o?
27260*o**3
Let s(t) be the third derivative of 2977*t**8/168 - t**4 - 17*t**3/6 + 296*t**2 - t - 7. What is the second derivative of s(y) wrt y?
119080*y**3
Find the second derivative of -844*b**2 + 417*b**2 + 8*b**4 + 475*b**2 + 2151*b wrt b.
96*b**2 + 96
Find the third derivative of 2*q**2 - 98*q**3 - 3*q - 36 - 53 + 0 + 44*q**3 - 772*q**3 wrt q.
-4956
Let h(c) = -19*c**3 - c**2 + c + 1. Let z be h(-1). Differentiate -96*a**4 + 40 + 71 - z with respect to a.
-384*a**3
Let t(c) be the third derivative of 0*c - 1/12*c**4 + 0 - 95*c**2 - 5/6*c**5 - 25/3*c**3. Find the first derivative of t(v) wrt v.
-100*v - 2
Suppose 3*l - 10 = -1. Suppose -2*z - 4*n + 88 = n, l*z = n + 115. What is the second derivative of -26*w - w**2 + z*w + w**2 + 8*w**4 wrt w?
96*w**2
Let l(x) = -1. Suppose -2*a + 10 = -0*a. Let u(m) = 0 + 36*m + 0 - 48*m. Let i(g) = a*l(g) + u(g). Differentiate i(f) wrt f.
-12
Differentiate -2378 - 2362 - 214*u**2 + 172 - 1722*u**2 wrt u.
-3872*u
Let g(x) be the third derivative of -32*x**5/5 + 33*x**4/4 + 96*x**2 - 2*x. Find the second derivative of g(f) wrt f.
-768
Let x(h) = -5927*h + 4646. Let n(b) = -5937*b + 4649. Let l(t) = 3*n(t) - 4*x(t). What is the derivative of l(z) wrt z?
5897
Let m(t) be the first derivative of -47*t**4/12 - 25*t**2/2 + 121*t + 113. Let w(p) be the first derivative of m(p). Differentiate w(q) wrt q.
-94*q
Let q = -53 + 69. Let i = q - 13. Find the third derivative of -8*a**i + 6*a**2 - 6*a**3 + 8*a**3 wrt a.
-36
Suppose 0 = -40*b + 39*b + 2. Suppose -3*f = -3*o + 57, -2*o + 22 = -o + b*f. Find the first derivative of 1259*x + 2*x**2 - 1259*x + o wrt x.
4*x
Let w = 225 - 222. What is the third derivative of 17*f**4 + 374*f**3 - f**2 - 374*f**w wrt f?
408*f
Suppose -d - 6 + 10 = 3*n, 8 = 2*d - 3*n. Suppose -f + 5 = -2*q, -3 - 17 = -d*f. What is the third derivative of 7*y + q*y + 3*y**2 - 7*y - 10*y**3 wrt y?
-60
Let m(h) = -h**2 + 4*h + 79. Let q be m(-7). Differentiate 0*c**q + 38 - 2*c**3 - 9*c**3 - 201 + 2*c + 0*c**2 with respect to c.
-33*c**2 + 2
Suppose 3*v - 3*y + 0*y = 6, 0 = 3*v - y - 6. Let i = 443 - 431. Find the second derivative of -9*c - 2*c**3 + 12*c**2 - i*c**v wrt c.
-12*c
Let f be (-4)/(2 + -1)*(-6)/12. Find the second derivative of -14*s + 2 + 0 + 3*s**2 - 69*s**f wrt s.
-132
Let s(q) = -1050*q - 49. Let v(n) = -6*n + 2. Let b(t) = -s(t) + 11*v(t). Differentiate b(j) with respect to j.
984
Let y(h) be the third derivative of -797*h**6/40 - h**5/30 + 1897*h**4/12 + 2*h**2 + 13*h + 2. What is the second derivative of y(j) wrt j?
-14346*j - 4
Let x(m) be the second derivative of 4973*m**6/30 + 1289*m**2/2 + 4*m + 221. Differentiate x(k) wrt k.
19892*k**3
Let c(q) be the first derivative of -q**4/4 - 611*q**3 + 86*q**2 + 569. Find the second derivative of c(d) wrt d.
-6*d - 3666
Let c be ((-86)/(-1))/(0 - -2). Find the second derivative of 2*w + c*w**3 + 53 - 27 - 16*w**3 wrt w.
162*w
Suppose 0 = -10*d + 7*d. Let j be -4 + d/4 - -6. What is the derivative of 8*q**2 - 7 + 4 + 2*q**2 + 6*q**j wrt q?
32*q
Let t(h) = -h**2 - 12*h + 110. Let a be t(-18). What is the second derivative of a - 12*z**3 + 239*z - 164*z - 4 wrt z?
-72*z
Let c = -196 + 216. Find the second derivative of -17*s - 12*s - c*s**3 - 9*s wrt s.
-120*s
Let p = -67 + 71. Find the second derivative of -27*f + 198 - 199 + 3*f**p + 2*f**2 - f wrt f.
36*f**2 + 4
Suppose 5*z + 77 = c + 22, 0 = 3*c + z - 69. Let h(l) be the first derivative of 4/3*l**3 + 26*l + c + 0*l**2. Differentiate h(f) wrt f.
8*f
Differentiate -4815*d**4 + 7541856 + 796*d**4 - 7530767 with respect to d.
-16076*d**3
Let m(w) be the second derivative of 97/6*w**3 - 1/2*w**2 + 0 + 80*w - 7/6*w**6 + 0*w**4 + 0*w**5. What is the second derivative of m(o) wrt o?
-420*o**2
Let h(m) be the third derivative of -25/2*m**3 + 0*m + 0*m**4 + 9 + 0*m**6 - 1/60*m**5 + 1/30*m**7 - 2*m**2. Differentiate h(t) wrt t.
28*t**3 - 2*t
Let t(z) = -254*z**3 - 104*z**2 + 5*z + 1. Let b(m) = 256*m**3 + 103*m**2 - 6*m. Let q(l) = -5*b(l) - 6*t(l). Find the third derivative of q(o) wrt o.
1464
Let y(b) be the third derivative of -b**7/210 + 2*b**6/3 + 437*b**5/60 + 212*b**2. What is the third derivative of y(z) wrt z?
-24*z + 480
Let x(w) = w**4 - w**3 - 5*w**2 - 6*w - 1. Let i(k) = -4*k**3 - 22*k**2 + k + 3819. Let o(r) = -i(r) + 4*x(r). Differentiate o(p) wrt p.
16*p**3 + 4*p - 25
Find the second derivative of 1 - 133*j - 2*j**4 + 0*j**4 + 13236*j**3 - 13235*j**3 wrt j.
-24*j**2 + 6*j
Suppose 4*o = -2*w + 14, 5 = 2*w - 1. What is the derivative of 127 + 22*h - 22*h + 0*h**o - 24*h**2 wrt h?
-48*h
Let h(b) = 35194*b**2 - 54855*b - 22. Let k(q) = -8798*q**2 + 13704*q + 6. Let z(p) = -3*h(p) - 11*k(p). What is the second derivative of z(c) wrt c?
-17608
Let n(v) be the third derivative of -1669*v**4/6 + 6311*v**3/6 - v**2 - 2*v + 100. Differentiate n(r) with respect to r.
-6676
What is the derivative of -5191 - 2570 - 1420*z**2 + 5995 wrt z?
-2840*z
Let q(b) be the first derivative of -577*b**4/4 - 30*b**2 + 10*b - 2867. What is the second derivative of q(c) wr