 316*x**4 wrt x.
7584*x
Let v(s) be the first derivative of 0*s**3 + 0*s**2 + 29 + 21*s - 47/4*s**4. What is the first derivative of v(q) wrt q?
-141*q**2
Suppose -85 = -4*p - 25. What is the first derivative of -46 + p*a + 113 + 20*a wrt a?
35
Suppose 0 = 4*x - 0*x - 732. What is the second derivative of -j + 11*j + x*j**5 - 91*j - 169*j wrt j?
3660*j**3
Let d be (8/(-30) - 4/(-6))*(1265 - 1260). Let c(g) be the first derivative of -d*g - 14 + 15/2*g**2. What is the first derivative of c(b) wrt b?
15
Let v(a) = a**4 + a. Let n(k) = -1087*k**4 - 4*k + 1011. Let s(d) = -n(d) - 4*v(d). What is the first derivative of s(y) wrt y?
4332*y**3
Let j = -496 + 514. Find the third derivative of 29*o**6 + 13*o**6 + 85*o**2 - j*o**6 - o wrt o.
2880*o**3
Let c(j) be the third derivative of -1049*j**5/60 - 1639*j**3/3 - 1163*j**2. What is the first derivative of c(f) wrt f?
-2098*f
Let x(n) = 2*n**2 + n - 1. Let m be x(1). Let v = 39 - 34. Find the second derivative of -v*u**2 + m*u**2 + u**2 - u**2 + 10*u wrt u.
-6
Find the third derivative of 4102*r**4 + 69120*r**2 + 24 - 17004*r**4 - 2846*r**4 - 69185*r**2 wrt r.
-377952*r
Let r(p) be the second derivative of p**4/12 + p**3/3 - p**2/2 - 3*p. Let x be r(-4). Find the first derivative of -6*g - x - 1 + 1 + 0 wrt g.
-6
Let c be (-4)/(-8)*(-2 - -2). Suppose f - 67 = -5*x, 4*x - 3*f - 29 - 36 = c. Find the second derivative of 4*b**3 - x*b - 7*b**3 + 3*b**3 + 7*b**5 wrt b.
140*b**3
What is the third derivative of -10343*t**4 + 20764*t**2 + 3885*t**4 - 25903*t**2 wrt t?
-154992*t
Let q(o) be the third derivative of 21*o**6/8 + o**4/24 - 605*o**3/2 + 52*o**2. Differentiate q(u) with respect to u.
945*u**2 + 1
Let f(o) = o**2 - o - 5. Let h be f(-4). Suppose 358 = 15*q + 14 - 61. What is the first derivative of h*k**3 - q - 2*k**3 + k**3 wrt k?
42*k**2
Let h(p) be the second derivative of 13*p**4/3 + 71*p**3/6 + 9*p**2/2 - 50*p. Let d(g) be the first derivative of h(g). Differentiate d(s) wrt s.
104
Differentiate g**3 + 6134 + 7621 - 6503 - 2061*g wrt g.
3*g**2 - 2061
Differentiate 2*c**2 + 2442*c**3 + 3*c**2 + 9189 - 2582*c**3 wrt c.
-420*c**2 + 10*c
What is the third derivative of 20*r**2 - 568*r**2 - 2*r - 6573*r**4 + 2 + 6339*r**4 - 12*r**6 wrt r?
-1440*r**3 - 5616*r
Find the second derivative of 4309*d + 6183*d - 82*d**3 - 3712*d wrt d.
-492*d
Find the third derivative of 10165*d**2 - 2*d**3 + 2*d**3 - 18577*d**2 - 256*d**4 + 11388*d**2 wrt d.
-6144*d
Let i = -8 + 6. Let n(a) = -2*a**3 + 2. Let r be 2/((1/3)/(-1)). Let y(j) = -1. Let k(q) = i*n(q) + r*y(q). Differentiate k(b) wrt b.
12*b**2
Let a = -373 - -539. Find the third derivative of -12 - 39*w**3 + a*w**2 + 6*w**3 - 3*w**3 - 168*w**2 wrt w.
-216
What is the second derivative of 4287*j**2 + 4094*j**2 + 4499*j**2 - 16773*j - 1138*j**2 + 5467*j wrt j?
23484
Suppose 10*u - 15*u = 345. Let h = -52 - u. Find the second derivative of 13*b + 8*b**4 - h*b + 7*b wrt b.
96*b**2
Let n be (-4 + 8)/8*110. What is the first derivative of 100 - c + 24*c - 58 - n wrt c?
23
Let n(c) be the first derivative of -139*c**6/6 + c**4/2 + 93*c**2/2 - 4*c - 1858. Find the second derivative of n(h) wrt h.
-2780*h**3 + 12*h
Let f(j) = -j**2 + 7*j - 4. Let b = 37 - 31. Let q be f(b). Find the second derivative of -73*v**q + 38*v**2 + 32*v**2 + v wrt v.
-6
Let s(t) be the first derivative of 105 + 91/2*t**2 - 23*t. Differentiate s(z) with respect to z.
91
Let w(k) = -8*k**3 + k**2 + k + 2. Let b(s) = -49*s**3 - 47*s**2 + 4*s + 11093. Let t(q) = -b(q) + 6*w(q). Differentiate t(v) wrt v.
3*v**2 + 106*v + 2
Let j(a) = -4*a**3 - 45*a**2 - 10*a + 18. Let y be j(-11). Find the second derivative of 3 - 40*z**4 - y*z + 647*z**3 - 647*z**3 wrt z.
-480*z**2
Let t(o) be the second derivative of o**6/15 - 41*o**5 + 795*o**4/4 - 6*o + 14. What is the third derivative of t(z) wrt z?
48*z - 4920
Suppose -b = -y - 44, -2*b - 3*y = -4*y - 89. Find the second derivative of -b*w**2 + 66*w - 35*w + 86*w wrt w.
-90
Let t(w) be the first derivative of 13*w**5/5 + 9*w**3 - 6*w**2 - 26*w + 93. What is the second derivative of t(j) wrt j?
156*j**2 + 54
Let v be (-1)/3*(-1)/(11/759). What is the derivative of -v*k - 26*k + 1 - 45*k - 4 + 36 wrt k?
-94
Let d = -2331 - -2331. Let v(r) be the third derivative of 0*r**3 - 1/12*r**5 + d*r + 0 + 0*r**4 - 22*r**2 - 5/24*r**6. Find the third derivative of v(q) wrt q.
-150
Let j = -128 + 129. Let g be (-2 - -5096 - 9/(-3))/j. Find the third derivative of g*p**3 - 28*p**2 - 5097*p**3 + 15*p**5 wrt p.
900*p**2
Let q(w) be the second derivative of 55*w - 4*w**2 + 1 - 187/6*w**3. What is the first derivative of q(z) wrt z?
-187
Let j = -143 - -151. Differentiate -1349 + j*b + 17*b + 1252 wrt b.
25
Suppose 0 = 2386*h - 2361*h - 100. Let s(r) be the second derivative of -13/2*r**2 - 6*r - 11/12*r**h + 0 + 0*r**3. What is the first derivative of s(n) wrt n?
-22*n
Let a(m) be the third derivative of 0 - 77/120*m**6 + 0*m - 13*m**2 + 1/12*m**4 - 1/3*m**3 + 0*m**5. Find the second derivative of a(s) wrt s.
-462*s
What is the third derivative of 685*r - 4*r**2 - 50*r**2 + 55*r**2 + 30*r**3 + 3*r**5 + 1028*r wrt r?
180*r**2 + 180
Find the third derivative of 357*c**2 - 317*c**2 + 0*c - 2912*c**3 + 4*c + 49 - 4*c wrt c.
-17472
Let z(q) be the second derivative of -q**7/42 + 689*q**5/20 - 1715*q**3/6 - 85*q + 8. What is the second derivative of z(n) wrt n?
-20*n**3 + 4134*n
Let d(y) = 321*y + 38. Let q(o) = -964*o - 122. Let p(v) = -20*d(v) - 6*q(v). Differentiate p(i) with respect to i.
-636
Let l(s) be the second derivative of -1/15*s**6 + 4/21*s**7 + 0*s**5 + 0*s**2 + 0*s**4 - 9*s**3 - 2 - 5*s. What is the second derivative of l(f) wrt f?
160*f**3 - 24*f**2
Find the third derivative of -4*d**4 - 270*d**3 + 247*d**3 + 11*d - 15*d**2 - 110*d**3 wrt d.
-96*d - 798
Let t(g) be the first derivative of -3*g**5/5 + 353*g**4/4 + 2551*g**2/2 - 2211. Find the second derivative of t(w) wrt w.
-36*w**2 + 2118*w
Let d be (-1056)/(-10) - 4/(-10). Find the second derivative of -11*s + 59*s**2 - d*s**2 - 36*s wrt s.
-94
Let o(z) be the second derivative of 0*z**2 - 5/3*z**3 + 0*z**4 + 49*z + 49/30*z**6 + 0*z**5 + 0. Find the second derivative of o(c) wrt c.
588*c**2
Let i(z) be the second derivative of 104*z**6/15 + 3*z**5/20 - 1633*z**3/6 + 1584*z. Find the second derivative of i(j) wrt j.
2496*j**2 + 18*j
Let q(t) be the first derivative of 2/3*t**3 + 141 + 9/2*t**2 - 291*t. Differentiate q(i) wrt i.
4*i + 9
Let a = 19576 + -19573. Let r(c) be the first derivative of 0*c**a + 23/4*c**4 + 0*c**2 - 9*c - 37. What is the derivative of r(u) wrt u?
69*u**2
Let n(z) = -4*z - 66. Let f be n(-17). Find the second derivative of 7*w**2 + 13*w**2 - 17*w - f*w**3 - 36*w**2 + 4*w**2 - 1 wrt w.
-12*w - 24
Suppose 2*u + 42 = 5*d - u, 6 = 3*d + 3*u. Let r be (-2 + -3)*(-1 + 0). What is the second derivative of 19*q + q**r + 0*q**5 + d*q**5 wrt q?
140*q**3
Let m(d) = -d**2 + 2*d - 2. Let j(h) = -36*h**2 - 51*h + 36. Let f be 9 + 13 - (-1 + 8). Let p(q) = f*m(q) + j(q). Find the second derivative of p(v) wrt v.
-102
Find the second derivative of 940*u**2 + 1170 + 6960*u**2 - 16*u - 1372 + 6045*u**2 - 386*u**2 wrt u.
27118
Let s be (4 - 0) + (-18)/(-9) + 31 + -34. Let q(g) be the first derivative of -22 - 20/3*g**s - 5*g + 0*g**2. Find the first derivative of q(m) wrt m.
-40*m
Let s(g) be the first derivative of -g**6/3 - 4*g**5/5 - 245*g**4 + 2726*g**3/3 + 4097. Find the third derivative of s(c) wrt c.
-120*c**2 - 96*c - 5880
Find the second derivative of -13*j + 562 + 2420*j**2 + 1017 + 593*j**2 + 14*j wrt j.
6026
What is the second derivative of -614 - 5744*d**3 + 1169 - 555 + 1172*d wrt d?
-34464*d
Suppose 3*w + k = 146 - 3, -w + 41 = 2*k. What is the derivative of -27*r**3 - 29 - w + 34 + r**4 - 59 wrt r?
4*r**3 - 81*r**2
Let h(f) be the third derivative of -13*f**5/5 + 541*f**3/3 + 3*f**2 - 181. Differentiate h(j) wrt j.
-312*j
Let y = 53 - 44. Find the first derivative of 0*o**4 - 4 + o**4 - y*o**3 - 22 wrt o.
4*o**3 - 27*o**2
Let s(b) = 14556*b**2 - 2173*b + 7. Let c(h) = -7283*h**2 + 1086*h - 3. Let q(m) = 7*c(m) + 3*s(m). What is the second derivative of q(v) wrt v?
-14626
Suppose 43*b - 2 = -j + 41*b, j + b = 3. Find the third derivative of -17*z**4 + 139*z**2 - 26*z**2 - 35*z**j - 50*z**4 +