4*o, o = -5*p + 59. What is the second derivative of p*c + 2 - 114*c**3 - 3 + 85*c**3 + 106*c**3 wrt c?
462*c
Let r(f) be the third derivative of 40/3*f**3 + 2*f - 7/60*f**6 + 0*f**4 - 1/30*f**5 - 19*f**2 + 0. What is the first derivative of r(g) wrt g?
-42*g**2 - 4*g
Suppose 0 = 12*k - 17*k + 15. Suppose 4*s = k*s + 33. What is the third derivative of -12*n**2 - s*n + 0*n**4 + 33*n + 15*n**4 wrt n?
360*n
Suppose -184 = -a - 150. What is the derivative of -1237 + 1215 - 4*k + a*k - k**4 wrt k?
-4*k**3 + 30
Suppose 36 = 5*p + 1. Let n(l) = l**2 - 11*l - 427. Let q be n(27). Find the second derivative of -p*h**q - 4082*h**2 - 26*h**5 + 4082*h**2 + 13*h wrt h.
-660*h**3
Let x(k) be the first derivative of -84 + 1/2*k**2 - 72*k + 35/4*k**4 + 0*k**3. What is the derivative of x(v) wrt v?
105*v**2 + 1
Let o(r) be the third derivative of -229*r**8/112 - r**6/120 + 143*r**5/10 - 1484*r**2. Find the third derivative of o(c) wrt c.
-41220*c**2 - 6
What is the second derivative of 25905*k - 25547*k - 3*k**3 - 114*k**2 + 26*k**2 wrt k?
-18*k - 176
Let a(t) = -5252*t**3 + 2*t**2 - 109*t + 4. Let w(p) = -110*p**3 - p**2 - p. Let d(h) = a(h) + 2*w(h). What is the second derivative of d(c) wrt c?
-32832*c
Suppose 6*j - 199 = -3*n + j, -2*n + 4*j = -140. What is the third derivative of -4*k + 232*k**3 + 18*k**2 - 232*k**3 + n*k**6 wrt k?
8160*k**3
Let a(l) = 3*l**2 + 55*l - 25. Let j be a(-19). Let o(s) = -s**3 - 4*s**2 + 2*s + 4. Let k be o(-5). What is the derivative of j + 0*z - 17 + 11*z + k wrt z?
11
Suppose 12*q = 14 + 10. Find the third derivative of 24*r**2 - 2380*r**4 + 19*r**q + 2437*r**4 - 2*r wrt r.
1368*r
Suppose -2*b - 3*q + 70 = -0*q, 4*b = -2*q + 140. Let o = 37 - b. Differentiate -4 - o - 3 + n - 6*n with respect to n.
-5
Let r(p) = -p + 3. Let g be r(2). Let f be ((-12)/(-9)*1)/(-2)*-3. Find the first derivative of 3*x + g - 7 - 2*x + f wrt x.
1
Let b(x) be the first derivative of -93/4*x**4 + 4/3*x**3 + 5/2*x**2 - 5 + 0*x. What is the third derivative of b(q) wrt q?
-558
Let x(p) = 71*p**4 + 74*p**2 - 16*p + 14699. Let s(l) = -24*l**4 - 25*l**2 + 6*l - 4900. Let a(m) = 8*s(m) + 3*x(m). What is the derivative of a(j) wrt j?
84*j**3 + 44*j
Find the third derivative of -25*y**3 + 75*y**3 - 25*y**2 - 50*y**3 - 132*y - 7802*y**6 wrt y.
-936240*y**3
Let j(w) be the second derivative of 961*w**5/4 + w**4/12 + w**3/3 - 4089*w**2/2 - 698*w. What is the derivative of j(l) wrt l?
14415*l**2 + 2*l + 2
Find the second derivative of 1145*c**2 - 987*c + 603*c**2 - 567*c**2 wrt c.
2362
Suppose 0 = 9*b + 10*b - 95. Let h be (-156)/(-9) + 4/6. Find the second derivative of -h*k - k**4 - 7*k + k**4 - 23*k**b wrt k.
-460*k**3
Let w(m) = -15*m + 6. Let h(x) be the second derivative of -1/2*x**2 + 0 - x. Let u(z) = -2*h(z) - w(z). Find the first derivative of u(y) wrt y.
15
Suppose -280*i + 325*i - 495 = 0. Let p(g) = 5*g + 2. Let n be p(2). Find the third derivative of 18*f**2 + 14*f**5 + i*f**3 - 13*f**3 + n*f**2 + f**3 wrt f.
840*f**2 - 6
Let o(z) be the second derivative of -2141*z**5/20 + 125*z**3 + 2*z**2 + 2273*z. What is the second derivative of o(q) wrt q?
-12846*q
Suppose -m - 2*g = -20, 3*g + 0*g - 95 = -4*m. What is the derivative of m + 47*n**2 - 59 - 35 wrt n?
94*n
Suppose 2*k + 0*t + 2*t = -8, -3*k = -2*t - 8. Suppose k = -12*y - 1 + 37. What is the second derivative of -5*z + 14*z - 8*z**3 + 4*z**3 - z**y wrt z?
-30*z
Let n(z) be the second derivative of 1193*z**8/56 - z**7/42 + z**4/4 - 284*z**3/3 + z**2 + 400*z - 9. Find the third derivative of n(p) wrt p.
143160*p**3 - 60*p**2
Find the second derivative of 493939 + 52*t**4 + 6*t**2 + 7*t - 2*t - 493924 wrt t.
624*t**2 + 12
Let x(w) = 2*w**2 - 12. Let v be x(-5). Suppose 10 = 6*a - v. What is the first derivative of 42*q**4 + 8 - 39*q**4 + a wrt q?
12*q**3
Let i = 8 - 19. Let s = i - -16. Find the second derivative of s*v + 15*v + 15*v - 7*v**2 wrt v.
-14
Let h = -1418 + 34033/24. Let k(y) be the third derivative of 0*y - h*y**4 + 18*y**2 + 0 - 4/3*y**3. Find the first derivative of k(q) wrt q.
-1
Let x(a) be the third derivative of 1/5*a**5 + 0*a**3 + 28 + 0*a - 19/12*a**4 - a**2. What is the second derivative of x(d) wrt d?
24
Let i be (-315)/(-18) - (0 + (-1)/2). Suppose -5*v - 2*g + 31 = -19, -5*g = -5*v + 85. What is the derivative of -12*x**2 - 6*x**2 - 11*x**4 + i*x**2 + v wrt x?
-44*x**3
Let d be 16 + -13 - (-1 + 2 + 0). What is the third derivative of -9*n**4 - 61*n**d + 20*n**4 - 14*n**4 wrt n?
-72*n
Let k(w) be the third derivative of 0 - 41/12*w**4 + 9*w**2 + 49/6*w**3 + 0*w. Differentiate k(i) with respect to i.
-82
Let g(v) be the second derivative of -1473*v**8/56 - 35*v**4/3 - 7*v**3/3 + 1245*v. Find the third derivative of g(u) wrt u.
-176760*u**3
Let g(y) be the second derivative of 0 - 115/2*y**2 - 38/3*y**3 - 208*y. What is the first derivative of g(r) wrt r?
-76
Let l(j) be the first derivative of -11/6*j**3 + 1/8*j**4 + 0*j - 5*j**2 - 11. Let q(r) be the second derivative of l(r). Differentiate q(v) wrt v.
3
Let q(n) = 24*n**3 - 6*n**2 + 18*n + 811. Let d(i) = -23*i**3 + 5*i**2 - 19*i - 809. Let v(y) = 6*d(y) + 5*q(y). What is the first derivative of v(x) wrt x?
-54*x**2 - 24
Suppose -6*k = -1289 - 73. Find the second derivative of 8*h**4 - 7*h**4 - 233*h + h**4 - k*h**2 + 142*h**2 wrt h.
24*h**2 - 170
Let t(b) = b**3 - 7*b**2 - b + 10. Let x be t(9). Find the second derivative of -y**2 - 8*y + 0*y**2 + 154*y**3 - x*y**3 wrt y.
-54*y - 2
Let z(x) = -x**3 - 13*x**2 - 18*x - 5. Let f be z(-12). Suppose -5*k + f + 8 = 0. What is the second derivative of 18*r**3 - k*r - 4*r - 5*r**3 wrt r?
78*r
Let u(n) = -n**2 + n - 1. Let h(l) = 38*l**2 + 9*l + 2. Let r(b) = -8*b + 30. Let o be r(4). Let v(f) = o*u(f) + h(f). Find the second derivative of v(y) wrt y.
80
Let m(b) = -b**2 - 5*b + 110. Let n be m(-13). What is the third derivative of 73*p**2 - 511*p**5 + 2*p**n + 501*p**5 + 48*p**2 wrt p?
240*p**3 - 600*p**2
Let c(y) = y - 12. Let t be c(2). Let a be t*(-7 - -3)/(-40)*-4. Find the third derivative of 9*w**6 - 3*w**2 - 2*w**2 + 4*w**6 + a*w**6 wrt w.
2040*w**3
Let c(y) = 13*y**2. Let m(l) = -570*l**2 + 967*l. Let k(p) = -2*c(p) - m(p). Find the second derivative of k(h) wrt h.
1088
Let c be (-2)/((-4)/(16/(-20)))*-5. Suppose 3*j - 47 = i + c, -3*i = 12. Find the third derivative of -43*m**4 + j*m**4 + 20*m**4 - 8*m**2 wrt m.
-192*m
Let q(r) be the second derivative of -7/20*r**5 + 1/30*r**6 + 16 + 2*r**2 - 1/2*r**3 + 0*r**4 - 2*r. Find the second derivative of q(d) wrt d.
12*d**2 - 42*d
Let i(x) be the second derivative of 0*x**4 - 1/6*x**3 + 5*x**2 + 0 - 41*x + 0*x**5 + 0*x**6 - 8/21*x**7. Find the second derivative of i(r) wrt r.
-320*r**3
Let h(r) = -57 - 64 + 620*r + 33. Let n(x) = -69*x + 10. Let d(s) = -6*h(s) - 57*n(s). Find the first derivative of d(a) wrt a.
213
What is the second derivative of -97*q**5 - 144*q**5 + 398*q**5 + 231*q**5 + 257*q**5 - 343*q wrt q?
12900*q**3
Let q(r) = 19333*r - 11960. Let b(j) = 12887*j - 7971. Let c(y) = 8*b(y) - 5*q(y). What is the derivative of c(i) wrt i?
6431
Let l(c) be the second derivative of 1427*c**8/56 + 439*c**4/12 + 1475*c. What is the third derivative of l(a) wrt a?
171240*a**3
Let j(w) be the third derivative of 42*w**2 - 1/3*w**4 + 0*w**5 + 0*w**6 + 0 + 0*w + 31/6*w**3 - 1/210*w**7. What is the derivative of j(h) wrt h?
-4*h**3 - 8
What is the first derivative of 3502*d + 4727*d - 1979*d - 6270 + 1140836*d**2 + 566*d - 1140838*d**2 wrt d?
-4*d + 6816
What is the second derivative of 277*o**5 + 3 + 180*o**5 - 106*o**5 + 6551*o - 6479*o - 6*o**2 wrt o?
7020*o**3 - 12
Find the second derivative of 1320*u**2 - 7593 + 7593 - 752*u wrt u.
2640
Let w(s) be the third derivative of 5*s**8/168 - 43*s**6/60 - 557*s**5/15 + 278*s**2 - s. What is the third derivative of w(b) wrt b?
600*b**2 - 516
Let b(d) = 3*d. Let v(u) = 100*u - 164. Let h be ((-1)/5)/((-158)/10 + 16). Let c(j) = h*v(j) + 3*b(j). What is the derivative of c(f) wrt f?
-91
Let a be (-30)/70 + 5/(35/24). Suppose -2*i + 0 = -a*f + 8, 3*i = -4*f + 22. Differentiate -8*h + f - 8*h + 61*h - 37 wrt h.
45
Let h(b) = -16410*b + 5671. Let v(i) = 8208*i - 2832. Let t(p) = -2*h(p) - 5*v(p). Differentiate t(u) with respect to u.
-8220
Let n(i) be the first derivative of -98*i*