1. Let u(v) = v**2 - 38*v + 70. Suppose 12*s + 34 = 10. Let a(r) = s*b(r) - u(r). Differentiate a(y) with respect to y.
-2*y + 36
Let c(y) = -18*y**3 + 61*y**2 - 3057*y + 11. Let r(f) = 8*f**3 - 32*f**2 + 1529*f - 6. Let s(i) = 6*c(i) + 11*r(i). What is the second derivative of s(p) wrt p?
-120*p + 28
What is the second derivative of 183*q**5 + 189*q**5 + 6*q - 395*q**5 + 117 + 80*q**4 wrt q?
-460*q**3 + 960*q**2
Suppose -31*b + 90 = -34. Let g(x) be the third derivative of 0*x + 0*x**b + 1/120*x**6 + 0*x**5 - 1/3*x**3 + 0 + 13*x**2. Differentiate g(q) wrt q.
3*q**2
Let k(v) be the third derivative of -7/6*v**3 - 1/70*v**7 + 0*v**4 - 55*v**2 - 1/24*v**6 + 0 + 0*v**5 + 0*v. What is the derivative of k(m) wrt m?
-12*m**3 - 15*m**2
Let y(v) be the second derivative of 299*v**4/3 + 1903*v**3/6 - 790*v. What is the second derivative of y(z) wrt z?
2392
Let r(n) = -n - 1. Let k be 12/(-3) + 43 + -3. Let y(o) = -6 - k*o + 15*o + 10*o + 10*o. Let i(g) = -4*r(g) + 2*y(g). Differentiate i(q) with respect to q.
2
Let t(b) = 1844*b**3 - 3*b + 175. Let z(s) = 1842*s**3 - 4*s + 177. Let d(n) = 4*t(n) - 3*z(n). Differentiate d(m) wrt m.
5550*m**2
What is the third derivative of -20 - 43 + 63 - 106*j**3 - 2568*j**2 + 6499*j**3 wrt j?
38358
Find the first derivative of -2*s**2 + 120 - 31*s + s**2 + 55 - 69*s + 29*s wrt s.
-2*s - 71
Let t(s) be the third derivative of -3185*s**4/24 + 1607*s**3/6 + 52*s**2 - 2*s + 8. What is the derivative of t(c) wrt c?
-3185
Let q(h) = 2*h**3 + 267*h**2 - 2199*h. Let b(a) = -a**3 - 137*a**2 + 1100*a. Let x(j) = 5*b(j) + 3*q(j). Find the second derivative of x(u) wrt u.
6*u + 232
Let u(f) be the second derivative of -15/2*f**2 + 1/3*f**3 - 3/5*f**5 + 0 + 1/12*f**4 + 76*f. Find the second derivative of u(n) wrt n.
-72*n + 2
Let m(s) = 5*s + 14 + 406*s**2 + 171 + 29. Let t(f) = -81*f**2 - f - 43. Let r(w) = 2*m(w) + 11*t(w). What is the second derivative of r(c) wrt c?
-158
Find the third derivative of -5397*m**2 + 5620944*m - 5620944*m - 3443*m**3 wrt m.
-20658
Let j(u) = 6*u**4 - 4*u**3 + 746. Let h(b) = -18*b**4 + 13*b**3 + 10*b - 2238. Let m(y) = 4*h(y) + 13*j(y). Differentiate m(a) wrt a.
24*a**3 + 40
Let i = 117 - 113. Let v = 18 - 16. Find the third derivative of -8*x**i - 12*x**v + 34*x - 34*x + 2*x**4 wrt x.
-144*x
Suppose -20 = -4*b - 2*i, 3*b = 7*b - i - 14. Let a = -182 - -363. What is the third derivative of 26*k**2 + 181*k - 30*k**b - a*k wrt k?
-720*k
Let n(w) be the second derivative of -7/6*w**3 + 5/4*w**4 - 19*w + 0 + 9*w**2. Let r(l) be the first derivative of n(l). Differentiate r(b) with respect to b.
30
Let g(b) be the first derivative of -77*b**4/4 + 13*b**3/3 - 7*b**2 - 54*b + 4592. Find the second derivative of g(x) wrt x.
-462*x + 26
What is the third derivative of 518*w**4 - 1305*w**2 + 25*w**3 + 41*w**3 - 67*w**3 wrt w?
12432*w - 6
Suppose -5*i = -10*i + 310. Let h = i - 46. What is the second derivative of -h*k**5 - 2*k + 12*k - 7*k wrt k?
-320*k**3
Let m(v) be the first derivative of -10*v**2 + 2/3*v**3 + 18 + 4/3*v**4 + 0*v. Let p(q) be the second derivative of m(q). Differentiate p(g) wrt g.
32
Let o be (-5)/(-6) + 125/(-150). Let c(y) be the first derivative of o*y**4 + 22*y**2 + 0*y - 19/5*y**5 + 27 + 0*y**3. Find the second derivative of c(a) wrt a.
-228*a**2
Let t(m) = -6*m**2 - 3*m - 1. Let c be t(-1). Let z be (c - 66/(-18))/(1/(-6)). Find the first derivative of -11*r**z - 139*r + 7 + 71*r + 68*r wrt r.
-22*r
Let i be (-2)/8 + 6 + (-9)/(-4). Suppose i*w = w + 84. Differentiate 5*r**2 + w - 5*r**2 - 7*r**2 wrt r.
-14*r
Let g = -680 + 695. Let k(r) be the second derivative of 0*r**3 - 8*r**2 + 0 - 1/4*r**4 + g*r. Find the first derivative of k(a) wrt a.
-6*a
Let m(b) = 11*b**3 - 4*b - 1117. Let a(y) = 56*y**3 - 9*y**2 - 19*y - 5584. Let t(q) = 4*a(q) - 19*m(q). Differentiate t(r) wrt r.
45*r**2 - 72*r
Suppose 2*p = -i + 5*i - 8, -2*i + 12 = p. What is the second derivative of -5802 + 38*m - 29*m**p + 5802 wrt m?
-348*m**2
Suppose -2*d - 2*d + 16 = 0. Let q be 0 + d - (-21 + (-12)/(-3)). What is the third derivative of -6*c**2 + 32*c**3 - 23*c**3 + q*c**2 wrt c?
54
Suppose 2*y = 3*d + 58, -4*y - d - 29 = -159. What is the second derivative of 38 + 42*l + y - 13*l**3 - 71 wrt l?
-78*l
Let w(d) = 35*d - 22. Let v(f) = -36*f + 22. Let y = 52 - 48. Suppose -y = -23*r + 22*r. Let i(g) = r*v(g) + 5*w(g). What is the first derivative of i(h) wrt h?
31
What is the derivative of 2381*a**2 - 428*a**2 - 26 + 0*a + 0*a - 4006 wrt a?
3906*a
Let w = 304 - 230. Differentiate 41 + w*q**4 + 27*q**4 - 72 with respect to q.
404*q**3
Suppose 16865 = 4*a + 5*d, 2*d + 10 = -a + 4227. Find the third derivative of 4218*o**2 + 0*o - a*o**2 + 68*o**5 + 2*o wrt o.
4080*o**2
Let o(x) be the third derivative of -23*x**8/8 - 893*x**4/8 - 39*x**2 - 37*x. What is the second derivative of o(j) wrt j?
-19320*j**3
Let i(j) be the third derivative of 151*j**7/15 + 189*j**5/10 + j**4/12 - j**3/3 - 3*j**2 - 2059. What is the third derivative of i(b) wrt b?
50736*b
Suppose 3*b = 5*g + 20, 5 + 7 = -4*b - 3*g. Suppose -d + 24 = 4*s, b = 3*s - 0*d + 3*d - 18. Find the second derivative of 33*t**4 + s*t - 45*t + 23*t wrt t.
396*t**2
Suppose 0 = -12*n + 179199 - 27495. Find the third derivative of 292*s**3 + n*s + s**2 - 12642*s - 214 wrt s.
1752
Let c(d) be the second derivative of 469*d**6/30 - 8637*d**2/2 - 739*d - 1. Differentiate c(f) wrt f.
1876*f**3
Find the third derivative of -3 + 18*t**6 + 4*t + 3*t**4 - 52*t**6 - 17*t**6 - 8*t**4 + 28*t**2 + 71*t**2 wrt t.
-6120*t**3 - 120*t
Differentiate 111*f**2 + 11726 - 8067 + 49*f**2 wrt f.
320*f
Let k(p) be the first derivative of 126*p**6 - 4*p**3 - 8*p + 529. Find the third derivative of k(n) wrt n.
45360*n**2
Let u be 47/8 + (-1)/(-8). What is the first derivative of u - 3*k**3 - 8*k**3 - 3*k**3 + 0*k**3 wrt k?
-42*k**2
Let j(n) be the second derivative of -1627*n**5/20 + n**4/12 + 77*n**2 + 40*n + 6. What is the third derivative of j(m) wrt m?
-9762
Let u(c) be the third derivative of 242*c**7/105 - c**6/120 - 1429*c**5/60 - 791*c**2. Find the third derivative of u(g) wrt g.
11616*g - 6
Let z be 55/15 + -3 + (-476)/(-6). Suppose -7*h + z = -4*h - w, -16 = -4*w. Find the second derivative of -5*o**2 + h*o**2 - 9*o**2 - 11*o**2 - 3*o wrt o.
6
Let o(j) = j**2 + 23*j - 106. Let s be o(4). What is the third derivative of 2006*a**2 - 89 - 4011*a**2 + 2006*a**s - a**6 + 65*a**5 wrt a?
-120*a**3 + 3900*a**2
Suppose 18 = 4*c - 2*d, c - d - 2*d - 12 = 0. Find the first derivative of -35 - 180 - 12*v**3 + 21*v**3 + 2*v**3 + 30*v**c wrt v.
123*v**2
Let a be 11427/27 - (-2)/(-9). What is the first derivative of 207 + 197 + 72*r**2 - a wrt r?
144*r
Let w(a) = 568*a**2 - 5925*a - 2. Let f(j) = 569*j**2 - 5942*j - 3. Let c(s) = -2*f(s) + 3*w(s). What is the second derivative of c(b) wrt b?
1132
Let d(y) be the second derivative of 15/2*y**3 - 46 + y + 153/2*y**2 - 1/6*y**4. Differentiate d(a) with respect to a.
-4*a + 45
Let p = 429 + -427. Let k(g) = -g**3 + 4*g**2 + 3*g - 4. Let w be k(4). What is the third derivative of -w*a**2 + p*a**2 - 7*a**2 + a**3 - a**2 wrt a?
6
Differentiate -2591*k + k**2 + 1492902 - 1485647 - 1354*k with respect to k.
2*k - 3945
Let v be (14/49)/(1 - 12/14). Differentiate -v*k**3 + 2442*k**4 - 50 - 1140*k**4 - 1209*k**4 with respect to k.
372*k**3 - 6*k**2
Let d(t) = -20*t - 192. Let s = 157 + -163. Let k(w) = 7*w + 64. Let m(v) = s*d(v) - 17*k(v). Differentiate m(b) wrt b.
1
Let y = -10236 + 20523/2. Let k(l) be the first derivative of 0*l**3 + 0*l + y*l**2 + 8/5*l**5 - 29 + 0*l**4. What is the second derivative of k(c) wrt c?
96*c**2
Let o(v) be the second derivative of -52*v**5 - 1311*v**2/2 - 704*v. Differentiate o(k) wrt k.
-3120*k**2
Suppose 4*p = -p + 60. Let y(j) = 3*j - 29. Let z be y(p). Find the third derivative of 15*q**4 - 5*q**2 - z*q**2 - 9*q**3 + 9*q**3 wrt q.
360*q
Let w(y) be the third derivative of 219*y**7/70 + y**6/24 + y**4/24 - 33*y**3/2 + 3*y**2 - 4*y - 13. Find the second derivative of w(x) wrt x.
7884*x**2 + 30*x
Let l = 167 - 110. What is the derivative of -l*b**3 - 47 - 4 - 2*b**4 + 22*b**4 + 58*b**3 wrt b?
80*b**3 + 3*b**2
Let m(a) = -a**3 - 15*a**2 - 3*a + 17. Let j be m(-15). Let v = j + -62. Find the first derivative of v + 29 + 16*z*