12*c**4 + 134*c**4 - 31*c**4 - 97 + 364*c**4 wrt c.
2716*c**3
Let m be (-9)/27*(-78)/4. Let i(o) be the second derivative of 0*o**3 + 0 + 1/6*o**4 - m*o**2 + 3*o. What is the first derivative of i(s) wrt s?
4*s
Let s(f) be the second derivative of 33*f + 0 - 43/2*f**3 - 27/2*f**2. Differentiate s(x) wrt x.
-129
Let b(z) be the first derivative of -1415*z**4/2 - z**2/2 - 546*z - 1380. Find the second derivative of b(p) wrt p.
-16980*p
Let y(h) = 11*h**2 - 3*h - 16. Let q(l) = 5 + 15 - 1 + 12 - 24*l**2 + 4*l. Let r(b) = -4*q(b) - 9*y(b). Differentiate r(p) with respect to p.
-6*p + 11
Find the second derivative of 1006*b**5 - 9 - 272*b - 1838*b**5 - 1621*b**5 + 723*b wrt b.
-49060*b**3
Let z(x) be the first derivative of 127*x**4/24 + 31*x**3/3 - 36*x**2 - 7. Let g(t) be the second derivative of z(t). Find the first derivative of g(w) wrt w.
127
Let t(p) be the first derivative of 98 + 113/6*p**6 - 10*p + 0*p**4 + 0*p**2 - 1/3*p**3 + 0*p**5. What is the third derivative of t(q) wrt q?
6780*q**2
Find the third derivative of -15795*m**2 + 3774*m**3 + 822*m**3 + 5582*m**2 wrt m.
27576
Let q = 176 - 122. Differentiate -q - 160 - 22*f - 8*f + 38 - 64*f with respect to f.
-94
Let s(t) = -t**3 - t**2 + 2*t + 1. Let a(l) = -2539*l**3 - 10*l**2 + 20*l - 1010. Let m(n) = a(n) - 10*s(n). Find the first derivative of m(z) wrt z.
-7587*z**2
Let a(o) = 62*o + 70. Suppose 155 = -3*k + 164. Let z(d) = -126*d - 139. Let u(r) = k*z(r) + 5*a(r). What is the derivative of u(g) wrt g?
-68
Let a(i) be the second derivative of -i**5/15 + 23*i**3/6 - 43*i**2/2 - 28*i. Let y(s) be the first derivative of a(s). What is the derivative of y(o) wrt o?
-8*o
Let v(c) be the second derivative of -64/3*c**3 + 0*c**5 + 84*c + 0*c**2 - 1/3*c**7 + 0*c**4 + 0 + 0*c**6. Find the second derivative of v(f) wrt f.
-280*f**3
What is the second derivative of 47*f - 4 + 1004*f**4 + f**2 - 72*f - f**2 + 0 wrt f?
12048*f**2
Suppose t + 29 + 79 = 0. Let n = -104 - t. What is the derivative of 62*w**n - 38*w**4 + 30 + 5 wrt w?
96*w**3
Let w(f) be the second derivative of -4227*f**5/20 - f**4/4 + 83*f**2 + 2804*f. What is the third derivative of w(l) wrt l?
-25362
Find the second derivative of 165*q + 316*q - 267*q + 315*q - 1026*q**2 - 207*q**2 wrt q.
-2466
Let k be (1/(-1) + -21)*(-20617)/106. Find the first derivative of -4*s**2 - k*s - 202 + 53 + 4282*s wrt s.
-8*s + 3
Let p(z) be the first derivative of -1/5*z**5 + 0*z**4 - 17/3*z**3 - 130*z + 119 + 0*z**2. What is the first derivative of p(o) wrt o?
-4*o**3 - 34*o
Differentiate 151728*t - 152816*t + 2430 + 2*t**4 - 178 wrt t.
8*t**3 - 1088
Let a(n) = n**2 + 2*n + 1. Let g be a(-1). Let y be (g - -4) + (-1)/(-1). Find the second derivative of 12 - 12 - 10*s + 20*s**y wrt s.
400*s**3
Find the second derivative of -29*a**2 + 266*a - 72*a + 480*a + 345*a + a**2 wrt a.
-56
What is the third derivative of 12*s**2 + 14*s**2 + 14*s**2 + 21*s**5 + 49*s**3 - 56*s**3 - 14*s**2 - 7*s wrt s?
1260*s**2 - 42
Suppose -558 + 0 = -3*r. Let h = 976 - r. What is the third derivative of 23*l**5 - 788*l**2 + h*l**2 - 7*l**5 wrt l?
960*l**2
Let u(x) = -x + 19. Let d be u(17). Suppose 3*s + 4*n = -1 + d, 2*s - 3*n - 29 = 0. Differentiate 3 - 11*j - s - 10 wrt j.
-11
Let j(q) = q**3 - 18*q**2 - 22*q + 60. Let o be j(19). What is the third derivative of -2 + 92*b**4 + 674*b**3 - 674*b**o + 49*b**4 + 0 + 81*b**2 wrt b?
3384*b
Suppose 0 = -2*l - 4, 3*l + 23 = 2*z - 39. Let t be 130/11 + z/154. What is the derivative of t - 3 + 0 - 5 - 30*v wrt v?
-30
Suppose 3*s = 2*d - 15, -3*d = -s - 9 - 3. Suppose d*x - 7*x - 12 = 0, -5 = 5*k + 5*x. Find the first derivative of 108*i - 35 - 108*i + k*i**3 wrt i.
6*i**2
Let k(c) be the first derivative of -c**5/5 + 2*c**4 + 74*c**3/3 - 4905*c**2/2 - 3768. Find the second derivative of k(o) wrt o.
-12*o**2 + 48*o + 148
Let s(g) be the third derivative of -301*g**6/120 + 13*g**5/60 + 11599*g**3/6 - 52*g**2 + g - 4. Differentiate s(j) wrt j.
-903*j**2 + 26*j
Let i be (-1)/(3 + (-152)/52). Let k = i - -63. Find the second derivative of -k*a + 10*a**3 + 14*a + 0*a**3 + 11*a**3 wrt a.
126*a
Differentiate 280 - 3821*g + 4034*g + 191 + 709 wrt g.
213
Let u(y) be the first derivative of 5987*y**4/4 - 2047*y + 1001. What is the first derivative of u(b) wrt b?
17961*b**2
Suppose 3*g = -2*c + 52 - 40, 3*c = 2*g + 5. Differentiate -226*r + 73*r + 85*r - g*r**2 + 85*r + 214 with respect to r.
-4*r + 17
Let m = 37 - -2. Let u = 42 - m. Find the second derivative of -14*l**u - l - l**3 - 14*l wrt l.
-90*l
Let d be (-10)/15*(-12 - 3)*(-30)/(-225). Let w(f) be the second derivative of 0 - d*f**3 + 14*f**2 - 14*f. Find the first derivative of w(z) wrt z.
-8
Suppose 17*f - 2*f - 45 = 0. What is the second derivative of -11*q**f + 0*q**3 + 201*q**5 - 33 + 11*q**3 + q wrt q?
4020*q**3
Suppose -120 = -j + 4*g, -107 = 2*j - 5*g - 359. Find the second derivative of -70*m**5 - 49*m + 174*m**5 + j*m wrt m.
2080*m**3
Let c(y) = 5*y**2 - 106*y + 1352. Let u(t) = t**2 + t - 9. Let s(z) = 2*c(z) - 4*u(z). What is the derivative of s(v) wrt v?
12*v - 216
Suppose 5*a - 2*f = 18, 0 = -5*a + 4*f + 18 + 8. What is the third derivative of -205*o**a - 25*o**5 + 15*o**4 + 42*o**2 + 29*o**5 wrt o?
240*o**2 + 360*o
Let c = 54 + -52. Let v(i) be the first derivative of -4*i**c + 29*i**5 + 0 - 1 - 30*i**5 - 4. What is the second derivative of v(h) wrt h?
-60*h**2
Suppose 10 = 5*t - 0. What is the second derivative of 3*w**t + 49*w + 2252 - 2250 + 4*w**2 wrt w?
14
Let b(w) be the first derivative of -w**6/3 - 59*w**4 + 117*w**2/2 - 5*w - 746. What is the second derivative of b(f) wrt f?
-40*f**3 - 1416*f
Let c(u) = -3*u**3 + 24*u**2 + 11*u - 16. Let l be c(8). Find the third derivative of -l*b**2 - 1 + 162*b**4 - 146*b**2 + 76*b**4 + 1 wrt b.
5712*b
Suppose -5 = -c, c - 79 = -4*m + 670. Suppose 4*g + g - 10 = 0, 2 = 2*x - 2*g. What is the second derivative of -m + 186 + 5*w**x - w wrt w?
30*w
Let s = 177 - 154. What is the second derivative of -16*d**2 + d**4 + d + s + 22*d**2 + 11*d**2 + 29 wrt d?
12*d**2 + 34
Let g(k) be the first derivative of 6*k**5/5 - 199*k**4/2 + 3146*k**3/3 - 5771. What is the third derivative of g(t) wrt t?
144*t - 2388
Let f(n) be the first derivative of n**2/2 - n - 45. Let y(b) = 54*b - 48. Let a(c) = -12*f(c) + y(c). What is the derivative of a(t) wrt t?
42
Let p = -220 + 238. Let c(h) be the second derivative of -1/2*h**6 + 0 - 17/6*h**3 - p*h + 0*h**5 + 0*h**4 + 0*h**2. Find the second derivative of c(m) wrt m.
-180*m**2
Let b(a) be the second derivative of -689*a**4/6 + 289*a**3/2 + 462*a. What is the second derivative of b(n) wrt n?
-2756
Suppose 0 = 27*a - 38*a + 187. Find the third derivative of -5*c**3 + 15*c**2 - 34*c**2 + 5*c**5 - 59*c + a*c**2 wrt c.
300*c**2 - 30
Let a(r) be the second derivative of 0*r**5 + 0*r**4 + 0 + 40*r - 39/2*r**2 + 2*r**6 + 0*r**3. Differentiate a(w) with respect to w.
240*w**3
Let h(v) = 3*v**3 + 2220*v - 2. Let q(f) = 6*f**3 + 4471*f - 5. Let t(j) = -5*h(j) + 2*q(j). Find the second derivative of t(m) wrt m.
-18*m
Let s(p) be the second derivative of -p**6/5 + 52*p**5/5 - 13*p**4/12 - 7*p**2/2 - 3499*p. What is the third derivative of s(r) wrt r?
-144*r + 1248
Suppose 3*g + 2*v - 235 = 0, 0*g + 2*g = 4*v + 178. Let w = 156 - g. Differentiate -48*c**2 + 6 + w*c**2 + 25 with respect to c.
54*c
Let t be (-20)/70 + 2 + 32/14. What is the third derivative of 25 - 44*f**2 - 25 - 22*f**3 - 75*f**t + 21*f**3 wrt f?
-1800*f - 6
Let m be 0 - (8/(-3))/((-15)/(-1530)). What is the second derivative of -2*r**3 + 16*r**2 - 280*r - 5 + m*r + r**3 - r**3 wrt r?
-12*r + 32
Let g(d) = 1683*d**3 - 10*d**2 + 192*d - 6. Let i(o) = -5051*o**3 + 28*o**2 - 576*o + 17. Let u(b) = -17*g(b) - 6*i(b). Find the third derivative of u(t) wrt t.
10170
Let i be 1 - ((7 - 7) + 1/(-1)). Find the first derivative of -232*y**2 + 34 - 5 + 160*y**i wrt y.
-144*y
Let c(j) = 7. Let f(s) = -183*s**2 - 1594*s - 42. Let u(q) = 12*c(q) + 2*f(q). What is the second derivative of u(x) wrt x?
-732
What is the second derivative of -1182 + 1600 - 126*h**2 + 302 + h + 542 wrt h?
-252
Suppose 0 = -2*v - 0 + 8. Suppose 4*f - 70 = -v*i + 178, 4*f + i = 251. What is the third derivative of -27*g**5 + 4*g**5 + f*g**3 - 63*g**3 - 6*g**2 wrt g?
-1380*g**2
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