Let p(d) = 54*d**3 + 12*d**2 + 127*d + 3. Let x(t) = 6*p(t) - 5*r(t). Find the second derivative of x(c) wrt c.
324*c + 14
What is the derivative of 242 - 2*p**2 + 2*p**2 + 12*p**4 - 13*p**4 + 1372 - p**3 + 210*p wrt p?
-4*p**3 - 3*p**2 + 210
Suppose 7*q - 25*q = 12*q. Let s(z) be the first derivative of 1/2*z**4 - 10*z**2 - 19 + 0*z + q*z**3. Find the second derivative of s(m) wrt m.
12*m
Suppose 5*j - 16 = j. Suppose -5*q - 11 = 2*b, 3*b + 2*q = -6 + 17. Find the second derivative of b*o + 12*o**4 - o + 5*o - j*o**4 wrt o.
96*o**2
What is the second derivative of -62*o + 9*o + 876*o**4 - 122*o + 0 + 31*o + 1 wrt o?
10512*o**2
Suppose 4*i = 48 - 20. Find the first derivative of -1783*c**2 + 1787*c**2 - 10 - i wrt c.
8*c
Differentiate 11932 - 3927*l**3 - 1383*l**3 - 8633 with respect to l.
-15930*l**2
Find the second derivative of -6*h**3 + 4*h - 5655 + 38*h + 5654 - 2*h**3 wrt h.
-48*h
Let d(h) be the first derivative of -h**4/2 + 4*h**3/3 - 15*h**2/2 - 2348*h - 5025. What is the derivative of d(t) wrt t?
-6*t**2 + 8*t - 15
Let a(t) = 3*t**3 - 6*t**2 - 11*t - 5614. Let q(g) = 14*g**3 - 30*g**2 - 53*g - 28056. Let y(s) = -11*a(s) + 2*q(s). What is the first derivative of y(n) wrt n?
-15*n**2 + 12*n + 15
Let q(j) be the first derivative of -157*j**6/6 + 2*j**4 + 2455*j**3/3 - j**2 - 8950. Find the third derivative of q(b) wrt b.
-9420*b**2 + 48
Suppose 23*x - 176 = -84. Let o(t) be the second derivative of 0*t**3 + 0 - 7*t - 1/12*t**x + 0*t**2 + 7/20*t**5. What is the third derivative of o(p) wrt p?
42
Let w(c) be the first derivative of 942*c**4 - c**3/3 - 304*c**2 + 7*c + 11172. Find the third derivative of w(r) wrt r.
22608
Suppose -70*s - 10 + 220 = 0. Let t(n) be the second derivative of n**2 - 3*n + 0*n**s + 0 + 5/12*n**4. Differentiate t(w) wrt w.
10*w
Let s(h) = -4*h + 4 - h**2 - 43 - 5 - h - 8*h**3. Let p(w) = -9*w**3 - w**2 - 6*w - 45. Let t(b) = 5*p(b) - 6*s(b). What is the first derivative of t(i) wrt i?
9*i**2 + 2*i
Suppose 2*j + 14 = 9*j. What is the derivative of -37 + 9*z**j + 23 + 7*z**2 + z wrt z?
32*z + 1
Let j = -1991 + 1993. Let m(l) be the first derivative of 18*l + 0*l**j + 2/3*l**3 + 19. Differentiate m(i) with respect to i.
4*i
Let c(k) be the third derivative of k**7/210 - 73*k**5/12 + k**4/12 + 344*k**3/3 - 2982*k**2. What is the second derivative of c(a) wrt a?
12*a**2 - 730
Let d = 143 + -141. What is the first derivative of -2*w**3 + 183*w**2 - 30 + 26*w**4 - 183*w**d wrt w?
104*w**3 - 6*w**2
Let i(d) = 5*d**2 - 7. Let v(j) = 2*j**2 - 10*j. Let f(q) = -q. Let a(p) = 10*f(p) - v(p). Let z(x) = 4*a(x) - i(x). What is the derivative of z(m) wrt m?
-26*m
Let v(s) be the third derivative of -313*s**7/210 + 136*s**3 - s**2 + 42. Differentiate v(h) with respect to h.
-1252*h**3
Let w = 506 + -433. What is the second derivative of -k + w*k**2 - 1 + 5*k**3 - k**3 - 22*k**2 + 22*k - 23*k**2 wrt k?
24*k + 56
Let c(m) be the first derivative of -582*m**3 - m**2/2 + 197*m - 2028. Find the second derivative of c(d) wrt d.
-3492
Suppose 5*o - 28 + 186 = 3*g, 5*o + 5 = 0. Let q = -47 + g. Differentiate 22*w**4 + 9 + 7*w**q - 33 with respect to w.
116*w**3
Let h(p) be the third derivative of 0*p + 5/4*p**5 - 7 - 1/2*p**3 + 6*p**2 + 29/24*p**4. What is the second derivative of h(n) wrt n?
150
Let y(n) be the first derivative of -n**6/180 - 11*n**5/30 + 55*n**4/24 + 32*n**3/3 - 19. Let r(c) be the third derivative of y(c). Differentiate r(a) wrt a.
-4*a - 44
Let j = 93 + -96. Let i be (-72 + -1)/(-3*j/(-9)). What is the third derivative of -5*y**5 + 39 + 34 - i + 6*y**2 wrt y?
-300*y**2
Let p(j) = -7978*j**2 - 117*j - 4656. Let a(k) = 1994*k**2 + 27*k + 1164. Let m(f) = -13*a(f) - 3*p(f). What is the first derivative of m(u) wrt u?
-3976*u
Let r(i) be the second derivative of 28*i**6/15 + 3*i**5/20 + 5*i**3/2 - 2*i**2 + 1180*i. What is the second derivative of r(l) wrt l?
672*l**2 + 18*l
Let y = 353 + -351. What is the third derivative of 7*h**3 + 105*h**5 + 7*h**2 - 99*h**5 + 19*h**y - 2*h + 0*h**3 wrt h?
360*h**2 + 42
Let m(j) be the first derivative of 17*j**8/28 - 19*j**5/10 + 81*j**2 - 83. Let d(s) be the second derivative of m(s). Find the third derivative of d(l) wrt l.
12240*l**2
Let w(k) be the third derivative of -638*k**5/15 + k**4/24 - 35*k**3/6 + 1301*k**2 + 2*k. What is the second derivative of w(n) wrt n?
-5104
What is the third derivative of 1 - 3720*l**2 - 23 - 9 + 3723*l**2 + 2199*l**4 - 9*l wrt l?
52776*l
Let u(v) be the second derivative of v**8/14 - 29*v**7/42 + 13*v**5/20 - v**4/6 - 4553*v**2/2 + 4*v - 464. What is the third derivative of u(g) wrt g?
480*g**3 - 1740*g**2 + 78
Let b(a) = -93*a + 104. Let q(i) = 1. Let g(n) = -2*b(n) + 18*q(n). Let r(c) = 5*c - 1. Let o(u) = -g(u) + r(u). Differentiate o(d) with respect to d.
-181
Suppose -3*b - 6*b + 90 = 0. Let a be (b/4 + -1)/((-27)/(-72)). What is the second derivative of 2*v + 4*v + 2*v + a*v + 8*v**4 wrt v?
96*v**2
Let k = -52 - -54. What is the third derivative of 3*r**3 - 9*r**3 - 37*r**3 + 70*r**k wrt r?
-258
Let b(r) = 302*r**2 - 7*r - 487. Let i = -777 + 784. Let q(p) = -201*p**2 + 5*p + 325. Let s(a) = i*q(a) + 5*b(a). What is the first derivative of s(d) wrt d?
206*d
Let r(i) be the third derivative of -4*i**6/15 + i**5/30 + 1385*i**4/24 - 143*i**2 + 1. Find the second derivative of r(c) wrt c.
-192*c + 4
Let g(v) be the third derivative of -11/210*v**7 + 6*v**2 + 0*v**5 - 29/3*v**3 + 1/60*v**6 + 10*v + 0 + 0*v**4. Differentiate g(x) wrt x.
-44*x**3 + 6*x**2
Let r(n) = 10433*n - 2331. Let u(d) = -13911*d + 3100. Let f(p) = 13*r(p) + 10*u(p). Differentiate f(l) with respect to l.
-3481
Differentiate 31*f - 28*f**4 - 708 + 1195 + 19*f - 35*f + 1437 wrt f.
-112*f**3 + 15
Let l(t) = -1655*t - 3234. Let r(q) = -1656*q - 3218. Let c(k) = 9*l(k) - 10*r(k). Differentiate c(u) with respect to u.
1665
Let v(r) be the first derivative of 5*r**6/6 + 17*r**5/5 + r**2/2 + 75*r - 797. Find the second derivative of v(j) wrt j.
100*j**3 + 204*j**2
What is the third derivative of 15*w**6 - 42*w**2 + 20*w**4 + 28*w**4 + 1281*w**2 wrt w?
1800*w**3 + 1152*w
Let g(j) be the second derivative of 29*j**8/14 - j**7/14 - 5*j**4/12 - 5*j**3/2 + 929*j. What is the third derivative of g(n) wrt n?
13920*n**3 - 180*n**2
Let t be 8/(-4) + -2*1*-2. Let u be (114/285)/(((-2)/(-45))/t). What is the second derivative of -3*k**3 + 4*k + 18*k**2 - 5*k**3 - u*k**2 wrt k?
-48*k
Suppose 3*q + 2*h = q + 2, -3*q + 38 = -4*h. What is the derivative of -13*w + 21*w + 2*w - 14*w**2 - q*w**2 + 69 wrt w?
-40*w + 10
Let n(w) be the second derivative of 11*w**4/2 - 2*w**3/3 - 1829*w**2/2 + w + 98. Differentiate n(y) wrt y.
132*y - 4
Let d(b) = -2*b + 1. Let s(y) = 6607*y + 204. Let u(n) = -2*d(n) + s(n). What is the first derivative of u(x) wrt x?
6611
What is the second derivative of 10*m**2 + 786*m - 26*m**3 - 2*m**2 - 7*m**2 + 20*m**2 + 9*m**2 wrt m?
-156*m + 60
Let b(g) be the first derivative of -g**5/5 + g**3/3 - 93*g**2/2 - 19*g - 87. Let q(h) be the first derivative of b(h). Differentiate q(o) wrt o.
-12*o**2 + 2
Let v(o) = 3*o**2 + 3. Let f(w) = -535*w**2 + 1249*w + 17. Let q(c) = f(c) - 6*v(c). What is the second derivative of q(r) wrt r?
-1106
Let z(s) be the first derivative of 0*s**2 - 65*s + 16 + 70/3*s**3. Find the first derivative of z(v) wrt v.
140*v
Let y(q) = -97680*q**2 + 345*q - 119165. Let i(g) = -9303*g**2 + 33*g - 11349. Let r(o) = -115*i(o) + 11*y(o). Find the first derivative of r(h) wrt h.
-9270*h
Differentiate -69 - 14857*h + 14875*h + 8*h**2 + 939 wrt h.
16*h + 18
Let i(m) be the second derivative of 1/6*m**3 + 0*m**5 + 0 + 0*m**4 + 0*m**6 + 15/2*m**2 - 10/7*m**7 - 33*m. What is the second derivative of i(g) wrt g?
-1200*g**3
Let y(z) = 96*z + 110. Let s = -39 + 44. Let q(g) = 22 + s*g + 12*g + 12*g - 10*g. Let b(v) = 14*q(v) - 3*y(v). What is the first derivative of b(k) wrt k?
-22
Let q(m) = -5*m**3 - m**2 + 2. Let f(t) = -9258*t**3 - t**2 + 401*t. Let i(c) = -f(c) + q(c). Find the second derivative of i(l) wrt l.
55518*l
Let a = 142 - 142. What is the third derivative of n**4 + 10*n**2 + 2*n**4 + 10*n**3 + a*n**2 - 2*n**3 wrt n?
72*n + 48
Let c(t) = 2400*t - 14923. Let f(v) = -1611*v + 9949. Let x(z) = -5*c(z) - 8*f(z). Find the first derivative of x(y) wrt y.
888