*2. What is the first derivative of n(p) wrt p?
-2*p - 59
Let w be 2*7/(-35) - (-1014)/10. Find the first derivative of w + 101 - 298 + t + 222*t + 102 wrt t.
223
Let d(c) be the second derivative of -1087*c**4/6 - 71*c**3/6 - 3*c**2 + 2346*c + 1. Find the second derivative of d(t) wrt t.
-4348
Suppose -5*u + 3*b = -3*u + 36, 2*u + b = -44. Let d = u - -53. Differentiate -d*w**4 + 8 + 3*w**4 - 1 + 28 wrt w.
-116*w**3
Differentiate 6324 + 488*b**2 - 170*b**2 + 597*b - 163*b**2 - 154*b**2 with respect to b.
2*b + 597
Find the second derivative of 1403*j - 45*j + 5148*j + 2*j**3 - 3047*j**2 wrt j.
12*j - 6094
Let q(f) = 70*f**3 + f**2 + f - 92. Let r be (4/3)/(8/6 + 0). Let y(u) = u**3 - u**2 - u + 1. Let d(t) = r*q(t) + y(t). Differentiate d(v) wrt v.
213*v**2
Let h(z) = -3*z - 38. Let s be h(-16). What is the second derivative of 10 - 10*p + 6*p - 122*p**2 - s wrt p?
-244
Let r(k) be the second derivative of 293*k**5/20 - 1678*k**2 + 1551*k + 1. What is the derivative of r(q) wrt q?
879*q**2
Find the third derivative of -133*z**3 - 157 + 8257*z - 2*z**2 + 8256*z - 16516*z + 6*z**4 - 8*z**4 wrt z.
-48*z - 798
Suppose -2*v = c - 4, 0 = -5*v + 2*c + 1 - 0. Let r be v/2 - 9/(-12)*2. What is the third derivative of -13*s**2 + 8*s**2 + 13*s**3 - 11*s**r wrt s?
78
Let q = 44 - 51. Let z be (q + 49)*(-6)/(-9). What is the third derivative of z*k**2 - 6*k**3 - 2*k**3 - 60*k**2 wrt k?
-48
Let a be (-13 - 4)*(-1 - 2 - -1). Find the first derivative of -58*u + 35*u + 103 + 21*u - a*u**2 wrt u.
-68*u - 2
Let r(p) = p**2 + 3*p - 5. Let w be r(-5). Suppose c - 1 = 2*b - 4*b, -9 = -3*c - 3*b. Find the second derivative of -12*d**w + 10*d - 3*d**c + 20*d wrt d.
-300*d**3
Let g(r) = -39*r**4 + 12*r**3 + 458*r - 229. Let v(p) = 45*p**4 - 14*p**3 - 458*p + 230. Let n(z) = -7*g(z) - 6*v(z). Find the first derivative of n(f) wrt f.
12*f**3 - 458
What is the third derivative of 553*n**6 + 503*n**6 + 2666*n**2 + 1991*n**6 + 4943*n**2 wrt n?
365640*n**3
Let t(z) be the first derivative of 2*z**6/3 + 8*z**4 + 1823*z**2/2 + 1674. What is the second derivative of t(k) wrt k?
80*k**3 + 192*k
Let y = 483 + -481. Let w = -3 - -20. What is the second derivative of 0*u**2 + w*u - 6*u**2 + 5*u**2 - 5*u**y wrt u?
-12
Let h(c) = -7528*c + 2932. Let a(g) = 2*g - 37. Let w(b) = -5*a(b) + h(b). What is the first derivative of w(m) wrt m?
-7538
Let f(k) be the second derivative of -3*k**5/20 + 11*k**4/4 + k**3/3 - 6805*k**2/2 - 1051*k. Differentiate f(u) with respect to u.
-9*u**2 + 66*u + 2
What is the derivative of 416*b + 2*b**2 - 1083 + 488 - 674 - 416*b - 49*b**3 wrt b?
-147*b**2 + 4*b
Let d(t) be the third derivative of -37*t**7/70 - t**6/6 - 311*t**5/60 - t**4/8 + t**3/3 - 9534*t**2. Find the third derivative of d(f) wrt f.
-2664*f - 120
Let a(r) be the first derivative of 17*r**6/6 - 7*r**5/5 + 11*r**4/4 - 11084*r**3/3 - 8466. What is the third derivative of a(l) wrt l?
1020*l**2 - 168*l + 66
Let v(b) = -5805*b**3 - 7*b**2 + 14*b - 2522. Let g(p) = -2904*p**3 - 3*p**2 + 6*p - 1262. Let q(z) = 7*g(z) - 3*v(z). What is the derivative of q(s) wrt s?
-8739*s**2
Let w(k) = 381*k**2 + 4*k - 967. Let j(y) = 2*y**2 + y + 10. Let b(a) = -4*j(a) + w(a). Differentiate b(h) with respect to h.
746*h
Let m be 2 + 629/3 + 6/18. What is the third derivative of 91*v - 6*v**4 - m*v**4 - 9*v**2 + 10*v**2 wrt v?
-5232*v
Let f be 0 + 2/(-4) + 14/4. Let h(p) = 7*p**2 + 5*p + 3. Let t be h(-1). What is the second derivative of -5*w**5 - 399*w**f - 3*w**t + 399*w**3 - 31*w wrt w?
-160*w**3
Let b be (-748)/(-8) - 24/(-16). What is the third derivative of -121*k**2 - b + 12*k**3 + k**4 - 10*k**3 + 97 - 6*k**4 wrt k?
-120*k + 12
Let m be 10/(-60) - 38/(-12). Suppose m*v + 9 = 0, 4*h + 4 = -0*h - 4*v. What is the third derivative of -r**h - 73*r**5 + 81*r**5 - 5*r**2 - 5*r**2 wrt r?
480*r**2
Find the first derivative of 24*n**2 - 4798 - 67*n**2 - 6363 + 80*n + n + 3561 wrt n.
-86*n + 81
Let m(y) be the first derivative of -2896*y**7/7 - 32*y**3/3 - 3*y**2/2 - 27*y - 908. Find the third derivative of m(p) wrt p.
-347520*p**3
Suppose -4*a = -4*s, 2*a + 0 = -4*s + 24. Differentiate 8*r**2 - 3*r**2 - 13*r**2 - 11*r**s - 2 - 4*r**2 with respect to r.
-44*r**3 - 24*r
What is the first derivative of -1778*i**2 - 1245 + 3445*i**2 - 1740*i**2 wrt i?
-146*i
Let n(f) = -194*f - 420. Suppose 428*t - 423*t + 40 = 0. Let h(l) = 291*l + 629. Let v(m) = t*n(m) - 5*h(m). What is the first derivative of v(s) wrt s?
97
Let y(v) = 2*v**3 - 3*v**2. Let j(d) = -40*d**3 + 18*d**2 - 3*d + 2569. Let w(n) = -j(n) - 6*y(n). Differentiate w(t) wrt t.
84*t**2 + 3
Let u(p) = 125*p - 101. Let c(w) be the second derivative of 21*w**3 - 50*w**2 - 77*w. Let k(s) = 5*c(s) - 6*u(s). What is the derivative of k(n) wrt n?
-120
Let f(w) = -w**2 + 3*w + 8. Let s be f(3). Suppose -s*d = -7*d. What is the first derivative of 3*l + d*l - 19*l - 11*l - 18 wrt l?
-27
What is the derivative of -345*j**3 - 92 - 413 + 134 - 369 - 79 wrt j?
-1035*j**2
Suppose 11*j + 3*j - 11480 = 0. What is the second derivative of -66*c - 820 + 120*c**4 + j wrt c?
1440*c**2
What is the second derivative of 169*a + 51 + 47 - 9739*a**2 - 153 - 635*a + 51 wrt a?
-19478
Let t(o) be the first derivative of -1649*o**2/2 + 2374*o + 2635. What is the first derivative of t(i) wrt i?
-1649
Let i(s) be the second derivative of -s**5/10 - 2147*s**4/12 - 329*s**2/2 - 67*s - 12. What is the first derivative of i(g) wrt g?
-6*g**2 - 4294*g
Let h(z) = -92*z + 63. Suppose -4*a = -b + 3*b - 8, 0 = -5*a - 4*b + 13. Let f(k) = 2*k + 1. Let i(u) = a*h(u) + f(u). Differentiate i(r) with respect to r.
-90
Let j(d) = 1353*d**3 - 20*d**2 + 4*d - 109. Let w(u) = 4*u**2 - u + 1. Let s(m) = -j(m) - 5*w(m). What is the derivative of s(p) wrt p?
-4059*p**2 + 1
Suppose -c - w = -14, 2*c - 3*c - 4*w + 11 = 0. Let x be (280/c)/8 + 1/(-3). What is the third derivative of 44*u**3 + 4*u**5 + 5*u**2 + 9*u**x - 44*u**3 wrt u?
240*u**2
Differentiate 10*q**2 - 1423 + 185*q**3 - 47*q**3 - 7*q**2 - 62*q**3 - 50*q**3 wrt q.
78*q**2 + 6*q
Let o(l) = -6*l**2 + 13*l - 3. Let v be o(4). Let a = v + 50. Find the third derivative of -11*r**2 + 7*r**a + 3 + 14*r**3 - 3 wrt r.
126
Let d(j) = 31*j**2 - 9*j - 2615. Let n(l) = -21*l**2 + 6*l + 1744. Let k(m) = -5*d(m) - 7*n(m). Differentiate k(s) wrt s.
-16*s + 3
Suppose s + 37 = 5*s + 3*f, 4*s = 4*f + 44. Let l(k) = 3*k - 25. Let a be l(s). What is the third derivative of 11*q**2 - 6*q**a + 0*q**2 + 17*q**5 wrt q?
660*q**2
Let m(l) be the third derivative of l**8/168 + 71*l**5/20 + 19*l**4/12 - 17*l**3/6 + 8*l**2 + 40. Find the second derivative of m(k) wrt k.
40*k**3 + 426
Suppose 24*a - 48 = -0. Find the second derivative of -6 + 4*m**4 + 10 - 78*m**2 - m - 5*m + 78*m**a wrt m.
48*m**2
Suppose -4*f - 4*z + 8 = 0, -2*z = -4*f + 9*f - 25. Find the third derivative of 53*w**3 + 4334*w + f*w**2 - 4334*w wrt w.
318
Suppose z + 5*h - 17 = 0, 3*h - 8 = -h. Suppose z*c - 3 = 11. What is the third derivative of 10*o**2 + 9*o**5 + c*o**5 - 11*o**2 wrt o?
660*o**2
Suppose -2*u = -3*v + 38, -4*u - 2*v - 111 = -19. Let p = u + 24. Find the third derivative of -5*o**5 + 41*o**4 - 41*o**4 - 14*o**p wrt o.
-300*o**2
Let z = -939 - -939. Let p(q) be the third derivative of 22*q**2 - 5/3*q**3 + 0*q + z + 5/6*q**4. Find the first derivative of p(v) wrt v.
20
Let n(r) be the second derivative of -384*r**5/5 - r**4/6 - 7895*r**3/6 + 10585*r. What is the second derivative of n(t) wrt t?
-9216*t - 4
Let m(q) be the second derivative of q - 23/12*q**4 - 15 + 0*q**3 + 8*q**2. Differentiate m(o) with respect to o.
-46*o
Let k = -28 - -28. Suppose 6*q + k*q - 72 = 0. Find the first derivative of q*g + 3 + 4 + 17 - 5 wrt g.
12
What is the second derivative of 1255*c + c**3 + 1070*c**5 + 781*c - c**3 + 312*c**5 wrt c?
27640*c**3
Let j(n) = -340*n**4 - 6*n**3 + 627*n**2 + 12*n - 3. Let f(g) = 2*g**4 - 2*g**3 + 4*g - 1. Let y(x) = -3*f(x) + j(x). Find the third derivative of y(i) wrt i.
-8304*i
Find the third derivative of -1110*r**5 - 164038 + 164038 + 1195*r**2 wrt r.
-66600*r**2
Let i(g) = g - 3. Let w be i(6). Let c = 257 - 244. Find the second derivative of c*d + 8*d**w - 31*d**2 - 30*d**2 + 61*d**2 wrt d.
48*d
Let m(a) be the third derivative of 0*a**6 + 5/6*a**3 + 25/24*a**4 + 1/4*a**8