*y
Let c be -5 + 8 + 3 + -3. What is the second derivative of -222 - 5*k**c + 17*k**2 + 5*k**3 + 221 + 76*k + 6*k**4 wrt k?
72*k**2 + 34
Suppose -2*x - 2*f = 2*x - 26, -5*f - 19 = -2*x. Find the first derivative of -14*c**3 - 71 + 4*c**4 - x*c**4 + 4*c**4 + 2*c**4 wrt c.
12*c**3 - 42*c**2
Let n(j) = 18*j**3 - 11*j**2 + 30*j + 267. Let t(l) = -l**3 + 2*l**2 - 6*l. Let a(q) = -n(q) - 5*t(q). What is the first derivative of a(m) wrt m?
-39*m**2 + 2*m
Suppose 6*t - 8 - 4 = 0. Let u be (-14)/t*(152/(-28) - -4). What is the second derivative of 21*o - 15*o - o**5 + u*o wrt o?
-20*o**3
What is the third derivative of 63 - 63 - 304*d**6 - 323*d**6 - 2163*d**2 + 2*d**4 wrt d?
-75240*d**3 + 48*d
Let r = 20 - 8. Suppose -4*m - 41 = -8*m + 5*s, -3*s = -m + r. Differentiate 14 - m*q**4 - 3*q**4 + 25*q**4 wrt q.
52*q**3
Let w(m) be the first derivative of -1699*m**4/4 + m**3/3 + 1276*m - 624. Find the third derivative of w(o) wrt o.
-10194
Let i be 2*(17/14 - 6/(-21)). Let w be 4 + 1 - (i - 1). Find the third derivative of -32*g**2 - g**5 + 5*g**5 - 11*g**5 + w*g**5 wrt g.
-240*g**2
Let z(d) be the third derivative of 25*d**6/4 + 543*d**3 + 2612*d**2. What is the first derivative of z(a) wrt a?
2250*a**2
Let f(b) be the second derivative of 19*b**6/6 + b**4/6 - 1963*b**2/2 + 9*b + 97. What is the derivative of f(x) wrt x?
380*x**3 + 4*x
Let l(d) = 18*d**3 - 70*d**2 + d - 1583. Let f(k) = k**3 + 5*k**2 - k + 7. Let c(o) = 2*f(o) + l(o). Find the second derivative of c(r) wrt r.
120*r - 120
Let l(a) be the third derivative of 37*a**7/105 - a**5/30 - 7*a**4/24 - 58*a**3/3 - 637*a**2. Find the second derivative of l(p) wrt p.
888*p**2 - 4
Let n(o) = -2*o - 3. Let l be n(-2). Suppose -3*a + 9 = 2*u, a - l = -a - 3*u. Find the second derivative of 0*f - 32*f + a*f + 11*f - 3*f**2 wrt f.
-6
Let s(i) = i**3 - i**2 + i - 1. Let m(y) = 7*y**3 + 6*y**2 - 12 + 10*y**3 - 5*y**2 - y - 2. Let z(h) = 2*m(h) + 2*s(h). Find the first derivative of z(k) wrt k.
108*k**2
Let b be (2/(-4) - -2)/(31/186). Differentiate -116 + 5*v - b - v + 106*v**2 - 4*v wrt v.
212*v
Let t(k) = 3544*k**3 + 313*k**2 - 5*k - 15. Let y(q) = q**3 + 2*q**2 - q - 3. Let n(z) = -t(z) + 5*y(z). What is the third derivative of n(w) wrt w?
-21234
Let b be 22/(-55) + 64/10. Suppose 0 = -4*t, -t = -3*a + 12 + b. Differentiate a*f**2 + 307*f - 307*f - 20 with respect to f.
12*f
Let n(y) = -y**3 + y + 17. Let o(a) = 2*a**3 - a**2 - 1032*a - 11321. Let l(w) = -4*n(w) - o(w). Differentiate l(j) wrt j.
6*j**2 + 2*j + 1028
Let h(v) be the third derivative of 9391*v**9/504 + v**5/30 - 577*v**3/2 + 2*v**2 - 5195. Find the third derivative of h(z) wrt z.
1126920*z**3
Find the third derivative of -1933*w**2 + 556*w**2 - 500*w**6 + 2534*w**6 wrt w.
244080*w**3
What is the third derivative of 19*p**2 + 8*p**2 + 14*p + 312*p**4 - 149*p**4 - 163*p**4 + 229*p**5 wrt p?
13740*p**2
Let h(j) be the third derivative of 0 + 0*j**4 + 95/6*j**3 - 105*j**2 + 0*j**5 - 19/35*j**7 + 0*j + 0*j**6. What is the derivative of h(r) wrt r?
-456*r**3
Let g(j) = 548*j**2 + 137*j + 6937. Let h(o) = -548*o**2 - 90*o - 6936. Let t(y) = 2*g(y) + 3*h(y). Find the first derivative of t(r) wrt r.
-1096*r + 4
Let p(a) be the second derivative of 3523*a**5/20 + 292*a**2 + 134*a + 4. Differentiate p(j) wrt j.
10569*j**2
Suppose m + q - 15 = 0, q + 22 = 2*m - q. What is the third derivative of -m*y**3 + 10*y**3 - 90*y**2 + 3*y**3 - 53*y**5 wrt y?
-3180*y**2
Let g(o) be the third derivative of o**6/120 + 1897*o**4/24 - 523*o**3/3 - 3953*o**2. What is the derivative of g(t) wrt t?
3*t**2 + 1897
Let a = 47 + -53. Let x be -2*12/8*a. Differentiate -x - 3*f + 8*f + 10*f + f with respect to f.
16
Let d(v) be the third derivative of 913*v**9/168 + 23*v**5/12 - v**4/12 - 2*v**2 - 1010*v. Find the third derivative of d(g) wrt g.
328680*g**3
Let y(r) = -5*r**2. Let v(b) = -1495*b**3 + 586*b**2. Let t(x) = -v(x) + 6*y(x). What is the third derivative of t(l) wrt l?
8970
Let r = -115 - -176. What is the third derivative of 54*w - 41*w - 828*w**2 - 35*w**3 + r*w + 830*w**2 - w**5 wrt w?
-60*w**2 - 210
What is the derivative of -243 + 606*n**2 - 392 + 173*n**3 - 606*n**2 wrt n?
519*n**2
Let g(c) be the third derivative of -10*c**2 + 0 - 8/5*c**5 + 0*c - 7/3*c**3 + 0*c**4. What is the derivative of g(l) wrt l?
-192*l
Suppose 16*z = 207 + 257. Let n = 41 - z. What is the first derivative of -17 - n - 6*d**2 + 20*d**2 wrt d?
28*d
Let o(d) be the third derivative of 0 + 68*d**2 - 1/12*d**5 + 215/24*d**4 + 1/120*d**6 + 0*d**3 + 0*d. Find the second derivative of o(h) wrt h.
6*h - 10
Let m(t) be the first derivative of 12*t**6 - 7*t**4/4 + 465*t**2/2 + 619. What is the second derivative of m(h) wrt h?
1440*h**3 - 42*h
Let b(t) = 3*t**2 + 141*t + 3. Let q be b(-47). Find the second derivative of 132*h + 5*h**3 - 28*h + 5*h**q + 168*h + 11*h**5 - 10*h**5 wrt h.
20*h**3 + 60*h
Let b(x) be the third derivative of 733*x**6/120 + 2261*x**5/20 - 2*x**2 - 2*x - 1517. Find the third derivative of b(s) wrt s.
4398
Let x(l) be the second derivative of 0 + 0*l**2 - 221/12*l**4 - 78*l - 19/6*l**3. What is the second derivative of x(z) wrt z?
-442
Let f(w) be the second derivative of w**4/12 - 23*w**3/6 + 353*w**2 + 2268*w. What is the derivative of f(j) wrt j?
2*j - 23
Let u = 58 - 55. What is the second derivative of -78*t**3 - 4*t - 26*t**2 + 22*t**2 - u + 60*t**3 wrt t?
-108*t - 8
Let q(b) be the first derivative of -260*b - 23/4*b**4 + 0*b**2 - 2/3*b**3 + 203. What is the first derivative of q(j) wrt j?
-69*j**2 - 4*j
Suppose -28*u = -23*u - 40. What is the derivative of -u*k**2 + 170*k**4 + 8*k**2 - 233*k**4 - 23 wrt k?
-252*k**3
Suppose -5*b = -2*g - 6 - 3, 3 = -2*b + 3*g. Find the second derivative of 4*j - 103*j**3 + 152*j**b + 23 + 50*j**3 wrt j.
594*j
Let a(r) be the first derivative of -5*r**4/4 - 370*r**3 + 8*r**2 + 178*r - 4078. What is the second derivative of a(u) wrt u?
-30*u - 2220
Let s(m) be the third derivative of 172*m**7/35 + 9*m**5/10 + 17*m**4/24 + 151*m**2 + 2. Find the third derivative of s(o) wrt o.
24768*o
Let d(b) = -1106*b**2 - 677*b + 4. Let p(a) = -4424*a**2 - 2708*a + 18. Let f(g) = 9*d(g) - 2*p(g). Find the second derivative of f(v) wrt v.
-2212
Suppose 48*p + 30 = 53*p. Suppose -p*l - 40 = -11*l. What is the derivative of 9*i**2 - 240*i + l + 4 + 240*i wrt i?
18*i
Suppose -7*s = -5*s - 4. Let y(c) be the first derivative of 2 + 2*c**4 + s*c**4 + 1 - 3*c + 9*c. Differentiate y(t) wrt t.
48*t**2
Let a(j) = -20 - 4*j - 4*j**2 + 15 + 14 - 61*j**3. Let p(s) = 61*s**3 + 3*s**2 + 3*s - 8. Let q(w) = -3*a(w) - 4*p(w). Differentiate q(h) with respect to h.
-183*h**2
Let a(t) be the first derivative of -96 + 0*t**2 + 1/4*t**4 - 4/3*t**3 + 134*t. Find the first derivative of a(b) wrt b.
3*b**2 - 8*b
Let j(o) be the third derivative of -4201*o**6/60 + 359*o**5/15 - o**3/2 + 115*o**2 + 41. What is the third derivative of j(w) wrt w?
-50412
Let f(d) be the third derivative of 1033*d**6/15 + 13*d**4/8 + 13*d**3/2 + 3563*d**2. What is the second derivative of f(j) wrt j?
49584*j
What is the derivative of -2761 - 9191 + 1529 - 5*n + 287009*n**3 - 287030*n**3 wrt n?
-63*n**2 - 5
Suppose 32*u + 66 = 43*u. Find the second derivative of 6*a**4 + a**5 - 3 - 44*a - 2*a**4 - u*a**5 + 4 - 5*a**4 wrt a.
-100*a**3 - 12*a**2
Differentiate -865*i**2 - 433 + 588 - 1418 - 1514 with respect to i.
-1730*i
Find the second derivative of -2*b**3 - 10613*b + 2281*b**4 + 54*b**5 + 2275*b**4 - 4551*b**4 wrt b.
1080*b**3 + 60*b**2 - 12*b
Let c be -1 - ((-209)/5 - 8/(-10)). What is the third derivative of -2332 + 94*p**6 + c*p**6 + 66*p**2 + 2334 wrt p?
16080*p**3
Let b(k) be the second derivative of 899*k**3 - 1877*k**2 - k - 3944. Differentiate b(a) with respect to a.
5394
What is the third derivative of -95*q**2 - 10*q**4 - 65*q**4 + 116*q**2 + 9*q**4 + 2 - 192*q**2 wrt q?
-1584*q
Let g(d) = -271*d**4 + 17*d**3 - 17*d**2 + 17*d - 2629. Let p(x) = 88*x**4 - 6*x**3 + 6*x**2 - 6*x + 876. Let w(n) = 6*g(n) + 17*p(n). Differentiate w(y) wrt y.
-520*y**3
Differentiate -12602*w - 218 + 6643*w + 6315*w wrt w.
356
Suppose 5*u - 2*p - 16 = 0, 0 = -5*u + 6*u - 4*p - 14. What is the second derivative of f + 3*f + 3*f**3 + f - 15*f**2 - 6 + 0*f + u wrt f?
18*f - 30
Suppose 0 = -10*p - 45*p + 368