51. Let t(r) = r**2 + 2*r - 4. Let k(p) = 6*t(p) - w(p). What is the derivative of k(v) wrt v?
114*v - 5
Let o(c) be the second derivative of 0*c**3 + 1/20*c**5 + 113/30*c**6 - 3/2*c**2 - 62 - 2*c - 7/12*c**4. What is the third derivative of o(u) wrt u?
2712*u + 6
Suppose -2*b = v, -3*v - v - 4*b = -4. What is the second derivative of -14*y - v*y**3 + 24*y**2 - 21*y - y - 27*y wrt y?
-12*y + 48
Differentiate -305 - 14615*y - 587 - 350 + 117 with respect to y.
-14615
Let h(r) be the first derivative of -9*r**2 + 17*r + 2. Let v(b) = -49 - 37 + 163 - 18*b - 59. Let k(i) = -6*h(i) + 4*v(i). Differentiate k(z) wrt z.
36
Let s be (11 - 10) + 1 + 2. What is the second derivative of 2578*k**5 + 2*k - 2683*k**5 - s*k wrt k?
-2100*k**3
What is the second derivative of -572 + 3960*k**2 + 1109 - 1766*k - 535 wrt k?
7920
Let y(a) be the second derivative of -a**6/10 + 81*a**4/4 - a**3/6 + 135*a**2 + 947*a. Find the second derivative of y(i) wrt i.
-36*i**2 + 486
Let l(u) be the third derivative of -17*u**9/504 - 7*u**6/12 + 3*u**5/10 - 28*u**3/3 + 656*u**2 - 1. What is the third derivative of l(x) wrt x?
-2040*x**3 - 420
Let w be (-108)/(-9)*(-2)/(-4). Find the second derivative of -8*u + 0*u**3 + 33*u**3 + w*u + 6*u**3 + 19 wrt u.
234*u
Find the second derivative of -3*v**2 - 6 + 295*v + 9*v**2 - 1550*v + 192*v**3 + 6 wrt v.
1152*v + 12
Let a be (-9)/6*188/(-6). Let h = a + -45. What is the third derivative of 4*i**4 - 18*i**4 + 3*i**4 - 26*i**h wrt i?
-264*i
Let m be ((-47)/(-10) + -5)*-10. What is the third derivative of 31*r**m + 21*r**2 + 30*r**2 - 43*r**3 - 16*r**3 wrt r?
-168
Let x(b) = -3*b**3 - 8*b**2 - 2*b + 2. Let a be x(-3). Differentiate -532*m - 5 + 532*m - a*m**2 with respect to m.
-34*m
Let o(v) = -52*v - 7*v**4 - 8*v**4 + 12*v**4 - 6*v**4 - 5. Let t(s) = s - 1. Let y(g) = -o(g) + 5*t(g). What is the second derivative of y(f) wrt f?
108*f**2
Let g(p) = 4*p - 30. Let l be g(8). What is the second derivative of 21 - 22 - 8 + 94*y**l - 3*y + 5*y wrt y?
188
Let y = 629 - 626. Suppose 9 = 5*d - 1. What is the third derivative of w**y - d*w**3 - 6*w**2 - 15*w**3 wrt w?
-96
Let m(v) be the first derivative of -39*v**5/5 + 51*v**4/4 + 3*v**2/2 + 2055*v - 9349. Find the second derivative of m(n) wrt n.
-468*n**2 + 306*n
Let s = -262 - -347. Find the third derivative of 10 - 2*z**2 - 16 - s*z - 94*z**3 + 6 wrt z.
-564
Let b be (308/66)/7 + (-34)/6 + 7. Let k(g) be the first derivative of -34 + 11/3*g**3 + 0*g**b + 6*g**4 + 0*g. What is the third derivative of k(a) wrt a?
144
What is the third derivative of 28*w**2 + 2518*w**5 + 21 - 3*w + 2975*w**5 + 2533*w**5 wrt w?
481560*w**2
Let f = -11 - -2. Let z be (-12)/((6/f)/((-4)/(-6))). What is the third derivative of 16*y**2 - 14*y**6 + 20*y**6 - z*y**6 wrt y?
-720*y**3
Let c(f) be the second derivative of 111*f**5/20 + 161*f**3/6 + f**2/2 + 870*f. Find the second derivative of c(m) wrt m.
666*m
Suppose 0 = 4*s - 16, 0*s - s + 7 = 3*u. Let r be 170/6 - u/3. Find the first derivative of 0*t**2 + 52*t**3 + 0*t**2 + r - 40*t**3 wrt t.
36*t**2
Let w(y) be the second derivative of -217*y**4/12 + 7*y**3/6 - 367*y**2 + 10226*y. Differentiate w(i) with respect to i.
-434*i + 7
Let b(r) be the second derivative of -57*r**6/10 + r**5/5 - 9197*r**3/6 - 3*r - 977. What is the second derivative of b(m) wrt m?
-2052*m**2 + 24*m
Let n = 25 + -20. Suppose -5 = -n*t, -3*v = -3*t - 2 - 7. Find the first derivative of -3*k**4 + 3*k**4 - 18 - 12*k**v - 4*k**4 wrt k.
-64*k**3
Differentiate -71 - 3*v + 5*v**3 - 9*v - 10*v + 893 with respect to v.
15*v**2 - 22
Suppose -4*f - 4*g + 48 = 0, g - 90 = -5*f + 2*g. What is the second derivative of 59*t**5 - f*t - 22*t + 2 + t**2 + 150*t wrt t?
1180*t**3 + 2
Suppose -170*u = -212*u + 84. Let x(c) be the first derivative of -7*c**3 + 52 + 0*c**u + 0*c + 7/4*c**4. What is the third derivative of x(n) wrt n?
42
Find the second derivative of 1 + 1350184*n**5 - 4 - 98*n - 1364090*n**5 wrt n.
-278120*n**3
What is the derivative of 977 - 2693*h**2 - 107 + 2461*h**2 - 1173*h**2 - 983*h**2 wrt h?
-4776*h
Let p(k) be the third derivative of -8*k**7/105 - 2*k**4/3 - 953*k**3/3 - 2*k**2 - 2106. Find the first derivative of p(f) wrt f.
-64*f**3 - 16
Let q(v) = -691*v + 128. Let s(k) be the first derivative of 69*k**2 - 26*k - 95. Let x(d) = 2*q(d) + 11*s(d). Find the first derivative of x(g) wrt g.
136
Find the third derivative of -146869*j**2 + 134*j + 146865*j**2 - 2431*j**3 + 41*j wrt j.
-14586
Let o be 25 + -3 + (3 - (9 + -1)). What is the third derivative of 11*k**4 - 163*k**4 - 211*k + 208*k - o*k**2 wrt k?
-3648*k
Let j(o) = -3*o - 315. Let y(x) = 6*x - 50 + 168 - 2*x + 354. Let z(m) = -7*j(m) - 5*y(m). Find the first derivative of z(u) wrt u.
1
Let f(u) = 17*u**4 - 7*u**2 + 5*u + 44. Let n(m) = 18*m**4 - 3*m**3 - 6*m**2 + 5*m + 44. Let b(c) = 6*f(c) - 7*n(c). Find the second derivative of b(p) wrt p.
-288*p**2 + 126*p
Let r(b) be the second derivative of 117*b**5/4 - b**4/12 - 49*b**2 - 1654*b. Find the third derivative of r(w) wrt w.
3510
Suppose 3*r + 11 = 2*q - 5, 0 = -5*q + 5*r + 30. Suppose 7*j - 65 = q*j. Differentiate v + 32 - v - 5 + j*v**2 with respect to v.
26*v
Let t(x) be the third derivative of 0*x + 0 - 89*x**2 - 14/3*x**3 + 1/30*x**5 + 0*x**4 - 71/60*x**6. What is the third derivative of t(a) wrt a?
-852
Let t = 12 - 10. Differentiate -61 + 41*c**2 + 30*c**t + 14 - 14 wrt c.
142*c
Suppose 0 = -15*x + 12*x + 27. Suppose y + 4 = 12*a - x*a, a = 2. What is the derivative of -2 + 23*k**2 - 58*k**2 + 19*k**y + 20*k**2 wrt k?
8*k
Let v be (3 - 1)*((-477)/(-18) + -5). What is the second derivative of -39*y**5 - 93*y + 114*y**5 + v*y wrt y?
1500*y**3
Let i(u) be the third derivative of 1/120*u**6 + 0*u + 0*u**4 - 1/10*u**7 - 41/6*u**3 + 0*u**5 + 19*u**2 + 0. Differentiate i(g) wrt g.
-84*g**3 + 3*g**2
Let c(j) be the first derivative of j**4/4 - 14*j**3/3 - 6*j**2 + 4901*j + 1369. Find the first derivative of c(y) wrt y.
3*y**2 - 28*y - 12
Let f(t) be the first derivative of -2277*t**3 + 2263*t - 6397. What is the derivative of f(o) wrt o?
-13662*o
Let l = 373 - 353. What is the second derivative of 18 + 18 + l + 60*w - 56 + 162*w**2 wrt w?
324
Let z(j) = -9594*j**2 + 7*j - 561. Let i(h) = -19188*h**2 + 16*h - 1131. Let t(k) = -2*i(k) + 5*z(k). What is the second derivative of t(b) wrt b?
-19188
Let f(a) = 24494*a**3 + 15*a**2 - 280*a - 79. Let t(b) = -6123*b**3 - 4*b**2 + 70*b + 21. Let j(z) = 3*f(z) + 11*t(z). Find the third derivative of j(l) wrt l.
36774
Let n(c) = 2*c**3 - 10*c**2 - 9*c - 14. Let b be n(6). Find the second derivative of -34*h**b + 5*h + 132*h**4 + 37*h**4 + 3 wrt h.
1620*h**2
Let w(o) be the third derivative of 338*o**7/35 + 1185*o**3/2 + 2865*o**2. What is the first derivative of w(k) wrt k?
8112*k**3
Suppose 8 = 4*t + 2*u, 3*u + 4 - 12 = -4*t. What is the first derivative of -55*r**2 + 24*r**t + 111 - 48*r**2 wrt r?
-158*r
Let v be -3 + (1 + -3)*35/(-10). Suppose -v*n - n = -10. Find the second derivative of n*d + 2*d + 14*d - 8*d**3 wrt d.
-48*d
What is the first derivative of 69*p**3 - 43*p**3 - 86*p**3 - 108*p**3 - 22 - 101*p**3 wrt p?
-807*p**2
Let m(s) be the third derivative of -6*s**2 + 0*s**6 + 39/8*s**4 + 0*s**5 - 9 + 0*s**3 - 227/210*s**7 + 0*s. What is the second derivative of m(z) wrt z?
-2724*z**2
Let k(j) be the first derivative of 181*j**4 - 10*j**3 + 11*j - 984. What is the third derivative of k(x) wrt x?
4344
Let d be 4 + 2/(12/(-6)). What is the third derivative of -8730*w**2 - 4*w**d + 21*w**3 + 8761*w**2 + w wrt w?
102
Suppose -2160 = 8*h - 32*h. Differentiate -94 + h*r**3 - 190 - 32*r**3 wrt r.
174*r**2
Let v(g) = 40*g**4 + 6*g**2 + 3*g - 2022. Let w(j) = -42*j**4 - 4*j**2 - 2*j + 2020. Let c(u) = 2*v(u) + 3*w(u). Differentiate c(o) with respect to o.
-184*o**3
Let g(r) be the first derivative of 2541*r**4/4 - 7027*r**3/3 - 8150. Find the third derivative of g(s) wrt s.
15246
Let u = 430 + -407. What is the second derivative of u*q**2 + 41*q**2 - 56*q + 158*q wrt q?
128
Let x(i) be the third derivative of -119*i**8/16 + 389*i**4/12 + i**3/2 - i**2 - 423*i. What is the second derivative of x(m) wrt m?
-49980*m**3
Let t(o) = -6*o**2 + 25. Suppose 4*x = 3*v - 35, 5*x - 4*v + 38 = -6*v. Let q(u) = 10*u**2 - 37. Let f(i) = x*t(i) - 5*q(