ppose 3 = -b - 4. Let a(i) = 1564 + 1557 - 3120 + i. Let f(u) = b*a(u) + 5*j(u). Find the first derivative of f(v) wrt v.
3
Let w(q) = -37*q**3 - 600*q**2 + 30*q - 517. Let g(d) = 6*d**3 + 2*d**2 - 5*d - 1. Let l(v) = -5*g(v) - w(v). What is the second derivative of l(y) wrt y?
42*y + 1180
Let r(a) be the second derivative of 5*a + 0*a**5 + 81*a**2 - 12 + 0*a**3 + 1/4*a**4 + 5/6*a**6. What is the derivative of r(t) wrt t?
100*t**3 + 6*t
Let l(x) be the second derivative of 1027*x**6/30 - 109*x**4/2 + 104*x - 3. What is the third derivative of l(u) wrt u?
24648*u
Let f = -289 - -292. What is the first derivative of -233*l**2 - f*l + 34 - 122 + 214*l**2 wrt l?
-38*l - 3
Let p(b) be the third derivative of 61*b**6/60 - b**5/20 - 47*b**3/2 - 1179*b**2. Find the third derivative of p(m) wrt m.
732
Suppose -2*n + 8 = -5*w + 27, -3*n + 29 = 4*w. What is the third derivative of -4 - 36*p**3 - 15*p**2 + 76*p**n + 3 - 36*p**3 wrt p?
24
Suppose -3*l - 2*l + 185 = 0. Let i = 37 - l. Differentiate 23*m**2 + 2*m**2 + 22 - m**2 + i*m**2 with respect to m.
48*m
Suppose 0 = k + 2*k - 45. Suppose -15*z + 6 + 39 = 0. What is the second derivative of -41*w + 30*w + k*w**3 + 0*w**z wrt w?
90*w
Let u(i) be the third derivative of 43*i**5/30 + 41*i**3 + 1041*i**2. Differentiate u(h) with respect to h.
172*h
Suppose -478 = -5*r + 202. What is the first derivative of -7*d**3 - 75 - 137*d**4 + r*d**4 - 6*d**3 wrt d?
-4*d**3 - 39*d**2
Let m(u) = -11*u + 30. Let a be m(-3). What is the second derivative of 10 + a*d**3 - 91 - 22*d**4 + 25*d**4 + 3*d wrt d?
36*d**2 + 378*d
Let g(d) be the first derivative of 56/3*d**3 + 55 + d - 43/2*d**2. Find the second derivative of g(c) wrt c.
112
What is the third derivative of v**2 + 1339*v**4 + 2*v - 71*v**3 - 67*v**3 - 9889*v**4 + 138*v**3 - 685 wrt v?
-205200*v
Find the first derivative of 127*y**3 + 235*y**3 + 1340 - 126*y**3 wrt y.
708*y**2
Let l(i) be the second derivative of 2 + 11/12*i**4 - 7*i + 0*i**3 - 24*i**2. What is the derivative of l(s) wrt s?
22*s
What is the third derivative of 199*k**2 - 1673*k**2 - 108*k**3 - 86*k**3 + 127*k**3 wrt k?
-402
Let v(y) = -2*y**3 + 12*y**2 + y - 4. Let n be v(6). Let d = 20 - -28. What is the second derivative of d*c - 83 + 35*c**2 + 7*c**n + 83 wrt c?
84
Let n(z) be the first derivative of -4/3*z**3 + 0*z**5 + 0*z**4 + 19/6*z**6 - 2 - 2/7*z**7 + 3*z + 0*z**2. Find the third derivative of n(f) wrt f.
-240*f**3 + 1140*f**2
Suppose -2*q = -m - 17, 5*q + 16 = m - 3*m. Let j = 25 + m. Find the first derivative of -j + 4 + 2 - 8*k**2 + k**2 wrt k.
-14*k
Let h(f) be the third derivative of 19*f**7/210 - 3*f**6/20 + 5*f**5/6 - 13*f**4/8 + 2*f**2 - 159*f + 7. Find the third derivative of h(k) wrt k.
456*k - 108
Find the third derivative of -2*x**5 - 1011*x**2 - x + 13637254 - 13637254 - 2200*x**3 wrt x.
-120*x**2 - 13200
Let b be -6*(240/(-9) + (-35)/(-7)). Find the second derivative of -314*t**3 - 33*t + b*t + 123*t wrt t.
-1884*t
Let q(p) be the first derivative of -65 - 3/4*p**4 - 3/2*p**2 - 3*p + 0*p**3. Find the second derivative of q(b) wrt b.
-18*b
Let j = -278 + 174. Let a be (j/65)/((-2)/10). Differentiate -2*o**3 - 10*o**3 + a*o**3 + 37 wrt o.
-12*o**2
Let q(j) be the third derivative of -497*j**5/30 - 131*j**4/4 - 1663*j**2. Find the second derivative of q(d) wrt d.
-1988
Suppose -9*y - 629 = -46*y. Find the second derivative of y*c - 10*c**5 + 19*c**4 - 1545 + 771 + 768 wrt c.
-200*c**3 + 228*c**2
Let g = 26 - 10. Suppose -2*y = 4*w - g, -6*w - 1 = -3*w - 5*y. What is the second derivative of 8*t**3 + 3*t - 19*t**w + 25*t wrt t?
-66*t
Let q(t) be the third derivative of -53*t**9/252 + 263*t**5/12 - 2013*t**2. Find the third derivative of q(f) wrt f.
-12720*f**3
Let s(v) = -v**2 + 15*v + 83. Let r be s(19). Find the second derivative of 5*o**4 + r*o**4 - 1 - 19*o + 31*o - 10*o wrt o.
144*o**2
Differentiate 6611 + 948*o - 630*o + 3061*o wrt o.
3379
Let v(l) = -1206*l**2 - 479*l + 11. Let y(g) = g - 4. Let s(f) = -v(f) - 3*y(f). What is the second derivative of s(w) wrt w?
2412
Let i(a) be the second derivative of 85/6*a**3 - 2*a + 20*a**2 - 4. What is the first derivative of i(k) wrt k?
85
Let b(t) = -3*t. Let a(k) be the first derivative of -123*k**2/2 - 86*k + 192. Let c(s) = -a(s) - b(s). Differentiate c(l) wrt l.
126
Let n(w) = -8*w - 19. Suppose r = 1 - 5. Let c be n(r). What is the derivative of 6*z**2 - 24*z**2 - c - 3 wrt z?
-36*z
Let c(s) = 32*s + 89. Let x(a) = 7 - 13*a - 70 - 26 - 16*a - 6*a. Let b(u) = 5*c(u) + 6*x(u). Differentiate b(f) wrt f.
-50
Let z(o) = o**2 + 27*o + 60. Let a(p) be the first derivative of -p**3/3 - 41*p**2/2 - 90*p + 7. Let j(x) = 5*a(x) + 8*z(x). Differentiate j(c) wrt c.
6*c + 11
Let g(s) = 71*s**2 - 12*s + 3551. Let a(i) = 353*i**2 - 61*i + 17757. Let j(p) = -2*a(p) + 11*g(p). What is the first derivative of j(x) wrt x?
150*x - 10
Let k(b) be the third derivative of 0 - 1/30*b**5 + 3/70*b**7 + 0*b**6 - 52*b**2 + 0*b**4 + 0*b - 9/2*b**3. Differentiate k(u) wrt u.
36*u**3 - 4*u
Let x(t) be the second derivative of -2459*t**5/20 + 787*t**2 + 456*t. What is the derivative of x(z) wrt z?
-7377*z**2
Let d(p) = -6*p + 107. Let w be d(11). What is the first derivative of y + 5*y**2 + 171*y**3 - 17 - y - 173*y**3 - w wrt y?
-6*y**2 + 10*y
Let a(z) = 3313*z + 3849. Let n(v) = 3314*v + 3896. Let r(g) = 7*a(g) - 6*n(g). Find the first derivative of r(i) wrt i.
3307
What is the third derivative of 2302*r**2 - 329*r**3 - 2408*r**2 - 1 + 1740*r**3 wrt r?
8466
Let f be ((-150)/9)/(-1)*6/5. Find the second derivative of -11*i + 14*i**2 - 58*i**2 - f*i wrt i.
-88
Let m = 669 + -666. What is the third derivative of 4 + 4*n**2 + 222*n**m - 4 - 333*n**3 + 2*n wrt n?
-666
Let m(p) = -788*p**2 - 1934*p - 44. Let k(r) = 787*r**2 + 1933*r + 33. Let g(f) = 4*k(f) + 3*m(f). What is the second derivative of g(l) wrt l?
1568
Find the third derivative of -466*w**2 + 358*w**3 + 1349*w**2 + 2069*w**2 + 775*w**2 - 1545*w**3 wrt w.
-7122
Differentiate 1309 + 15800*j**2 + 2833 - 519 - 2903*j**2 + 3668 with respect to j.
25794*j
Let p = 730 - 725. Find the third derivative of -294*m**3 - 7*m**p + 62*m - 2*m**2 + 146*m**3 + 152*m**3 wrt m.
-420*m**2 + 24
Let g(s) = 12*s**2 - 2*s - 32. Let k be ((-2)/(-7))/((-3)/42). Let q(j) = -8*j**2 + 2*j + 32. Let v(x) = k*g(x) - 3*q(x). What is the derivative of v(o) wrt o?
-48*o + 2
Let m(l) be the first derivative of -327*l**3 + 937*l**2/2 - 1060. Find the second derivative of m(f) wrt f.
-1962
Let c(f) = -37*f - 12. Let v(j) = 37*j + 10. Suppose 10*b = 3*b - 658. Let q = b + 97. Let a(o) = q*c(o) + 4*v(o). Differentiate a(n) with respect to n.
37
What is the second derivative of -10847*f + 259*f**2 + 11703*f - f**3 + 4*f**3 - 5862*f wrt f?
18*f + 518
Suppose 4*d - d = 30. Find the second derivative of -12*m**5 + 6 + 2*m + 7*m - d*m wrt m.
-240*m**3
Let u be 7*(-36)/(-441) - 1277/(-7). What is the first derivative of u*m**4 + 104 - 85*m**4 - 92*m**4 + 3*m wrt m?
24*m**3 + 3
Let w(b) be the first derivative of -28*b**5/5 - 25*b**4/2 + b**3 + 507*b + 8785. What is the third derivative of w(p) wrt p?
-672*p - 300
Let y(r) = r + 12. Let x(l) = l + 12. Let t(m) = 4*x(m) - 3*y(m). Let a be t(-9). What is the second derivative of 49 - 23 + 18*c + c**a - 26 wrt c?
6*c
Let w(u) = -4449*u**3 + 11*u**2 + 6250. Let o(m) = -1483*m**3 + 4*m**2 + 2084. Let d(r) = 11*o(r) - 4*w(r). Find the first derivative of d(c) wrt c.
4449*c**2
Find the first derivative of -6428*x + 1494 + 10049 + 16769*x wrt x.
10341
Let q(i) = -i + 7. Let l be q(5). Let j = -2653 + 2659. Find the first derivative of -25*s**3 - 28*s**2 + 48*s**2 - 20*s**l + j wrt s.
-75*s**2
Let y(d) = -1727*d**3 - 14*d**2 - 1061*d + 7. Let l(k) = 863*k**3 + 6*k**2 + 530*k - 3. Let h(r) = -7*l(r) - 3*y(r). Find the second derivative of h(c) wrt c.
-5160*c
Let l(n) = 20*n**2 + 3*n - 3. Let k = 2 + -1. Let x be l(k). Find the second derivative of 2*c**2 - x*c - 3*c**2 - 10*c**2 - 6*c**2 wrt c.
-34
Suppose r - 5 = -3*p + 3, -p = -r. Let h(c) be the second derivative of -5*c + 0*c**4 + 21/2*c**p - 3/5*c**5 + 0 + 0*c**3. Differentiate h(z) with respect to z.
-36*z**2
Suppose x + 3*v - 4 = 0, 0 = -x + 2*v - 13 + 17. Find the second derivative of -65*u**2 - 206*u + 117*u - 7*u**x + 76*u**2 wrt u.
-84*u**2