30*f
Suppose -r - 3*s + 58 = 4*r, 22 = 3*r + 5*s. Let g be 46/r + 4/(-14). Find the third derivative of -26*b**3 + 25*b**3 - 22*b**2 + 33*b**3 + 16*b**g wrt b.
288
Find the second derivative of -5*i - 3 + 0*i + 75*i**2 + 22*i**2 - 5*i - 518*i**2 wrt i.
-842
Let v(u) = 807*u + 1466. Let w(q) = 4*q - 3. Let k(h) = -2*v(h) + 10*w(h). Differentiate k(y) wrt y.
-1574
Suppose -2*h + 3*h + 5*f = 3876, -4*f = -12. Let p be (-48 - 1)*(2 + (-136)/56). What is the third derivative of 16*z**2 - h + 3861 + p*z**5 wrt z?
1260*z**2
Suppose -159*v = -163*v + 4. Let p(m) = -2*m. Let r(t) = -34*t**2 + 6*t + 45. Let h(u) = v*r(u) + 3*p(u). Differentiate h(i) wrt i.
-68*i
Find the second derivative of 2*v**3 + 4311*v - 299*v + 560*v**4 - 2*v**3 + 743*v**4 wrt v.
15636*v**2
Let h(i) = -i**3 + 8*i**2 - 9*i. Let x be h(6). Let a = x + 19. What is the second derivative of -2*t**5 - 5*t - a*t**2 + 37*t**2 wrt t?
-40*t**3
Suppose -1657*i + 48 = -1645*i. Let k(s) be the second derivative of 1/6*s**i - 10*s**2 + 13*s + 0*s**3 + 0. Differentiate k(w) with respect to w.
4*w
Let z(x) = 322*x - 28. Let u be z(2). What is the second derivative of -236*q**4 + u*q**3 - 8*q - 616*q**3 - 123*q wrt q?
-2832*q**2
Let c(v) be the second derivative of 3*v**5/10 + 35*v**4/6 - 641*v**2/2 - 809*v. Differentiate c(b) wrt b.
18*b**2 + 140*b
Let n(t) be the second derivative of 224*t**5/5 - 31*t**4/3 + 3*t**2/2 - 15*t - 1. What is the third derivative of n(s) wrt s?
5376
What is the third derivative of 611*z**6 + 0*z**2 + 17*z**6 + 57*z**2 + 49*z - 47*z wrt z?
75360*z**3
Let v(k) be the third derivative of -5*k**8/168 + 11*k**7/210 - k**4/12 + 23*k**3/2 + 2844*k**2. Find the second derivative of v(s) wrt s.
-200*s**3 + 132*s**2
Let y be 24/(-4)*1/(-3). What is the third derivative of -4*u**4 - 10*u**y - 13*u**6 + 3*u**4 + 58*u**2 - 23*u**6 wrt u?
-4320*u**3 - 24*u
Let q(c) be the third derivative of 2*c**7/35 - 1121*c**4/24 + 1149*c**2. What is the second derivative of q(m) wrt m?
144*m**2
Suppose -2*o = -5*o - 18. Let y(f) = -14*f**2 + 6*f - 19. Let k(j) = -j + 1. Let z = 340 - 341. Let l(g) = o*k(g) + z*y(g). Differentiate l(m) wrt m.
28*m
Let x(p) be the first derivative of -487*p**3 + 977*p - 176. What is the first derivative of x(z) wrt z?
-2922*z
Let t be 135/315 + 11/7. Find the third derivative of -4*g**2 - 53*g**4 + 11*g**2 + 7*g**t wrt g.
-1272*g
Let g = -3984 - -3992. Let v(k) = 4*k**2 - 2*k - 2. Let a be v(3). What is the first derivative of 10*y - g*y**2 - a*y + 18*y - 9 wrt y?
-16*y
Let a(d) be the third derivative of 957*d**7/70 - 20*d**3 + 4*d**2 - d + 277. Differentiate a(u) wrt u.
11484*u**3
Let o(j) be the first derivative of 107*j + 17*j**2 + 34 - 2/3*j**3. What is the first derivative of o(u) wrt u?
-4*u + 34
Find the second derivative of 646 - 1422*j + 2029*j**3 - 532 + 1420*j wrt j.
12174*j
Let y(u) be the third derivative of -u**6/24 + 4*u**5/3 + 551*u**4/24 + 1454*u**2. Find the second derivative of y(k) wrt k.
-30*k + 160
Let s(i) be the third derivative of -1439*i**7/210 - 466*i**5/15 - 1378*i**2. Find the third derivative of s(k) wrt k.
-34536*k
Let o(f) be the third derivative of 7*f**5/30 + f**4/12 - 1159*f**3/6 + 1168*f**2. Differentiate o(w) wrt w.
28*w + 2
Let p(o) = 9*o**3 - 105*o**2 - 1208*o. Let u(a) = -56*a**3 + 630*a**2 + 7248*a. Let t(r) = -13*p(r) - 2*u(r). What is the second derivative of t(n) wrt n?
-30*n + 210
Suppose 3*v - 8*v = 5*h - 25, -h = 5*v - 9. What is the second derivative of -15*o**5 + 51*o**3 - 51*o**3 + 4*o + o**h + 11 - 7*o**5 wrt o?
-440*o**3 + 12*o**2
Let y = 62 - 59. Suppose 3*g = 5*p - 2312, 6*g - 1376 = -y*p + 5*g. Find the second derivative of -p*x**2 + 8*x**3 + 19*x + 460*x**2 wrt x.
48*x
Let w(z) be the first derivative of -460*z**7/7 - 2*z**3/3 - 1041*z + 2174. What is the third derivative of w(p) wrt p?
-55200*p**3
Let j(w) = -2*w**3 - 5*w**2 - 5*w - 1. Let r be j(-2). Let i(t) = -t + 8. Let l be i(r). What is the third derivative of 15*q**2 - q**l - 1231*q + 1231*q wrt q?
-6
What is the second derivative of 24*v - 5161*v**5 + 14*v + 5157*v**5 - 2 - 1 + v**4 wrt v?
-80*v**3 + 12*v**2
Let w be ((-1)/((-2)/(-104)))/(4 + -6). Let g = -24 + w. What is the first derivative of -2*v - 18*v**g + 5*v - 12 - 3*v wrt v?
-36*v
Let v(t) be the third derivative of 1/60*t**5 + 0*t**4 + 19/70*t**7 + 0*t**6 + 55/3*t**3 + 0*t - 15*t**2 - 3. What is the first derivative of v(p) wrt p?
228*p**3 + 2*p
Let q(y) be the second derivative of 13/2*y**3 + 4*y - 29 - 72*y**2. Differentiate q(a) wrt a.
39
Let x(p) = 2*p**4 - 5*p**3 - p**2 - p. Let b(z) = -530*z**4 + 10*z**3 + 4*z**2 - 942*z. Let w(g) = -b(g) - 3*x(g). Find the third derivative of w(v) wrt v.
12576*v + 30
Let g(m) be the first derivative of 1885*m**2/2 - 796*m - 990. What is the first derivative of g(p) wrt p?
1885
Let a(h) be the first derivative of 11 + 7/3*h**3 + 0*h**2 + 0*h + 85/4*h**4. Find the third derivative of a(u) wrt u.
510
Let o(a) be the second derivative of 619*a**5/20 + 463*a**3/2 - 307*a + 1. Find the second derivative of o(j) wrt j.
3714*j
Let x(b) be the third derivative of -4931*b**6/120 - 59*b**5/60 - 19*b**3/3 + 2057*b**2. What is the third derivative of x(t) wrt t?
-29586
Suppose 4*b = 14 - 2, -4*t = -4*b - 132. Find the second derivative of -54*c**4 + 61*c + t*c + 2*c - 5*c - 2*c**2 wrt c.
-648*c**2 - 4
Let c(u) be the second derivative of 4*u**7/21 - 139*u**5/20 - 1103*u**4/12 - u**3/3 + u**2 - 54*u + 66. What is the third derivative of c(z) wrt z?
480*z**2 - 834
Let a be 12/((50/(-5))/(-5)). Let u(f) = -f + 13. Let k be u(a). What is the second derivative of -5*w - 2*w + 3*w**5 + 3*w**5 - k*w**5 wrt w?
-20*w**3
Let x(m) = -2*m - 5. Let j be x(3). Let o(p) = -937*p + 235. Let z(n) = 187*n - 47. Let a(k) = j*z(k) - 2*o(k). Find the first derivative of a(l) wrt l.
-183
Let u(y) = -1188*y**3 + 6*y**2 + 6*y - 142. Let j(w) = 1190*w**3 - 8*w**2 - 8*w + 141. Let q(b) = 3*j(b) + 4*u(b). Differentiate q(k) with respect to k.
-3546*k**2
Let m(s) be the second derivative of 211*s**5/2 - 46*s**3 - 6259*s. Find the second derivative of m(c) wrt c.
12660*c
Let v be 9*(((-176)/18)/(-4) + -2). What is the derivative of -56*p + 65*p**4 + 116*p - 60*p - 171 + 129*p**v wrt p?
776*p**3
Let i(l) be the third derivative of 931*l**6/120 - 61*l**5/15 - l**3 + 1782*l**2. Find the third derivative of i(f) wrt f.
5586
Let a be ((36/15)/1)/(6/15). Suppose -a + 2 = -2*h. What is the first derivative of -6 - r**2 - 9*r**h + 18 wrt r?
-20*r
Let u(r) be the second derivative of 7*r**6/10 + 2*r**5/5 + r**4/4 - 6125*r**2/2 - 3711*r. Differentiate u(k) with respect to k.
84*k**3 + 24*k**2 + 6*k
What is the derivative of -5127 - 13817 + 6698 - 10398*u**2 wrt u?
-20796*u
Find the third derivative of 77*y**2 + 1329*y**2 + 754*y**2 + 983*y**5 - 11*y**2 + 2*y**3 wrt y.
58980*y**2 + 12
Let d(n) = 2*n**4 + 4*n**3 + n**2 - n - 2. Let o(c) = 39*c**4 + 30*c**3 + 3*c**2 - 3*c - 509. Let h(l) = -3*d(l) + o(l). Differentiate h(t) with respect to t.
132*t**3 + 54*t**2
What is the second derivative of -3217*h**2 + 6457*h**2 - 852*h - 14*h**3 - 3219*h**2 - 166*h - h**5 - 704*h wrt h?
-20*h**3 - 84*h + 42
Let o(l) be the third derivative of -l**6/60 - 136*l**5/5 - 375*l**4/4 - l**3/6 + 18*l**2 - 3*l - 7. What is the second derivative of o(d) wrt d?
-12*d - 3264
Let z(i) be the second derivative of 65*i**2 + 56*i + 3 + 0*i**3 + 0*i**4 - 57/10*i**5. Find the first derivative of z(j) wrt j.
-342*j**2
What is the third derivative of -17659*f + 2263*f**2 + 17659*f - 86*f**6 - 799*f**6 wrt f?
-106200*f**3
Let u = -6061 + 6063. Let z(y) be the first derivative of 2 + 0*y + 0*y**4 + 0*y**3 - 27/2*y**u + 6/5*y**5. Find the second derivative of z(m) wrt m.
72*m**2
What is the third derivative of -976*y**6 + 726 + 4999*y**6 - 58609*y**2 + 58611*y**2 wrt y?
482760*y**3
Let l be (-11 + 189/18)*(-3 + 1). Let w(c) = -2*c**3 + 3*c**3 - 19*c + 18*c. Let r(p) = 32*p**3 + 3*p - 2. Let h(j) = l*r(j) + 3*w(j). Differentiate h(d) wrt d.
105*d**2
Let c = -7193 - -7193. Let q(j) be the second derivative of j + c*j**4 + 0*j**5 + 0*j**2 + 2/5*j**6 + 3*j**3 + 0. What is the second derivative of q(t) wrt t?
144*t**2
Suppose 2*i = 5*i - 33. Suppose 17 = 5*q + 3*a, 2*a = 2*q - 0*a - 10. Find the third derivative of i*r**2 - 3*r**2 + 10*