p**5 + 9*p**y + 0*p**5 + 9*p**5 + 13*p**2 wrt p?
960*p**2
Let y(s) be the second derivative of -453*s**8/56 - 425*s**4/3 - 237*s. What is the third derivative of y(n) wrt n?
-54360*n**3
Find the second derivative of 173*x - 139*x + 196*x - 3*x**4 - 128*x**2 - 943*x wrt x.
-36*x**2 - 256
Find the first derivative of -109*a**2 + 17 - 1002*a**2 + 137*a**2 wrt a.
-1948*a
Let i(d) = 35*d + 30*d - 94*d - 8 + 43*d - 2*d**2. Let s be i(6). Find the second derivative of 6*h - 10*h**4 - 9*h**s + 2*h - 13*h**4 wrt h.
-384*h**2
Suppose 24*m - 13*m = 3982. Find the first derivative of 429 + 77*t - m - 24*t wrt t.
53
Find the third derivative of 922 - 2151 - 6*u - u**2 + 3405*u**3 + 945 wrt u.
20430
Let b(p) be the third derivative of 221*p**7/42 + p**4/12 - 1840*p**3/3 + 4385*p**2. Find the first derivative of b(x) wrt x.
4420*x**3 + 2
Let c = 196 - 180. What is the first derivative of -6 - 3 - c + 4 - 2*z - 48*z**2 wrt z?
-96*z - 2
What is the third derivative of -140081*n**2 + 134*n**4 + 140289*n**2 - 366*n**4 wrt n?
-5568*n
Let y be (15 + 0)*(-2)/(-3). What is the third derivative of 21*s**2 - 15*s**2 - 31*s**2 - y*s**3 - 12*s**2 + 4*s**6 wrt s?
480*s**3 - 60
Let l(j) = -67*j**3 - 101*j**2 - 7117. Let h(a) = 13*a**3 + 20*a**2 + 1424. Let m(o) = 33*h(o) + 6*l(o). What is the first derivative of m(b) wrt b?
81*b**2 + 108*b
What is the third derivative of 433*l**2 - 10*l**4 - 989*l**2 + 10*l**4 - 1507*l**2 - 182*l**5 wrt l?
-10920*l**2
Let x(c) be the first derivative of -c**7/21 + 2*c**4/3 - 27*c**2/2 + 25. Let a(u) be the second derivative of x(u). Find the second derivative of a(m) wrt m.
-120*m**2
Let k be 47 + 5 - 0/2. Let v = k + -48. What is the third derivative of 9*g**2 + 6*g**2 + 0*g**v - g**2 + g**4 wrt g?
24*g
Let h(u) = -7847*u + 6570. Let o(c) = -3924*c + 3278. Let k(j) = -3*h(j) + 7*o(j). What is the first derivative of k(p) wrt p?
-3927
Find the second derivative of -3*k**3 - 27*k**2 - 18664*k + 168*k**2 + 4 + 18786*k wrt k.
-18*k + 282
Find the second derivative of -228*q**3 - 4 + 641*q**3 + 103*q - 231*q + 132*q + 2*q**4 wrt q.
24*q**2 + 2478*q
Let v(w) = -w. Let o(g) be the first derivative of -65*g**4/2 + 11*g**3/3 - 4*g**2 + 140. Let f(a) = o(a) - 3*v(a). Find the third derivative of f(c) wrt c.
-780
Let j(a) be the third derivative of 2101*a**4/24 + 680*a**3/3 - 3*a**2 + 9. Differentiate j(g) wrt g.
2101
Let u(a) be the third derivative of -155*a**9/504 - a**6/120 + a**5/30 - 19*a**4/8 - 48*a**2 - a. What is the third derivative of u(i) wrt i?
-18600*i**3 - 6
Suppose 19*b + 3 = 41. What is the third derivative of -52*a**4 + 47*a**2 + 3*a + 49*a**2 - 100*a**b wrt a?
-1248*a
Let a(b) be the first derivative of 0*b + 21/2*b**2 - 6/5*b**5 + 0*b**4 - 55 - 1/3*b**3. What is the second derivative of a(x) wrt x?
-72*x**2 - 2
What is the first derivative of -36 - 6*q - 185*q**2 + 6*q - 54*q**2 wrt q?
-478*q
Let y(m) = 2*m**3 + 37*m**2 - 21*m - 34. Let i be y(-19). What is the second derivative of 23*d + 64*d**i - 8 + 8 + 62*d wrt d?
768*d**2
Differentiate 872 - 79*f + 12*f**4 - 13*f - 10*f**4 - 55*f - 6*f with respect to f.
8*f**3 - 153
Let l(a) = -a**3 + 3. Let r(q) = -7*q**3 + 5*q**2 - 691. Let d(c) = -6*l(c) - r(c). What is the first derivative of d(i) wrt i?
39*i**2 - 10*i
Let i be (-6)/336*14 + 42/8. Let m(z) be the first derivative of 0*z**3 - 11*z + 0*z**2 + 0*z**4 - 16 - 8/5*z**i. What is the derivative of m(w) wrt w?
-32*w**3
Let q be ((-2214)/10)/((-2)/40*4). Find the third derivative of -1101*d**4 + 5*d**3 + 96*d**2 - 1 + 1 + q*d**4 wrt d.
144*d + 30
Let z(n) be the third derivative of n**8/14 - 11*n**7/70 + 1733*n**4/12 - 1261*n**2. What is the second derivative of z(l) wrt l?
480*l**3 - 396*l**2
Let l(t) = 7*t + 38. Let i be l(-5). Find the first derivative of -23 - 27*o - 33*o + i*o wrt o.
-57
Suppose 0 = -542*y + 547*y - 25. Find the third derivative of -112*a**y - 50*a**2 - 218*a**2 + 87*a**5 - 197*a**5 wrt a.
-13320*a**2
Differentiate 788*z - 35535*z**2 + 17771*z**2 + 17765*z**2 - 2919 with respect to z.
2*z + 788
Let r(q) be the third derivative of -811*q**8/336 - q**7/210 - 74*q**5/15 - 1083*q**2 + 2*q. Find the third derivative of r(a) wrt a.
-48660*a**2 - 24*a
Let p(y) be the second derivative of 823*y**3/6 - 163*y**2 - 14*y - 75. Differentiate p(r) wrt r.
823
Suppose -1 = -3*h - 5*t, 2*h + 3*t = -0*h + 2. Let o be ((-44)/(-5))/(h/175). Find the third derivative of -o*k**2 + 0*k + k**6 + 0*k + 230*k**2 wrt k.
120*k**3
Let d(b) be the second derivative of 20*b**4/3 + 3351*b**2/2 + 7*b - 183. What is the derivative of d(y) wrt y?
160*y
Suppose -26 = -2*c - 0. Suppose -v = -t - 1 - 2, 0 = -2*v - 5*t + c. What is the second derivative of 4*k**v - 20*k + 5*k**4 + 17*k - 2*k**4 wrt k?
84*k**2
Find the first derivative of -1080 - 72*w**2 - 9302*w**3 - 8*w + 4652*w**3 + 4648*w**3 - 4711 wrt w.
-6*w**2 - 144*w - 8
Find the second derivative of 0*m + 90 - 14*m + 925*m**2 - 13*m + 25*m wrt m.
1850
What is the third derivative of -18729*l**5 - 4 + 4827*l**2 + 4 + 0 + 18824*l**5 + l**3 wrt l?
5700*l**2 + 6
Let a be (-2 - (17 + 3)) + (-2 - 1). Let y = a + 29. What is the derivative of -15*w**y + 19 + 7*w**4 + 0*w**4 wrt w?
-32*w**3
Let s(w) = -1357*w**3 + 6*w - 1436. Let r(x) = 1354*x**3 - 5*x + 1437. Let j(m) = -6*r(m) - 5*s(m). What is the first derivative of j(c) wrt c?
-4017*c**2
Let y(o) be the third derivative of 17/60*o**6 + 2/5*o**5 + 1/6*o**3 + 0 + 0*o - 267*o**2 + 0*o**4. Find the third derivative of y(v) wrt v.
204
Let t = -500 + 516. What is the second derivative of -1 - 11 - 9*z + t - 3 - 42*z**3 wrt z?
-252*z
Find the second derivative of -11*g + 23*g - 32*g**2 - 42 + 114*g + 40 + 255*g**2 + 3*g**3 wrt g.
18*g + 446
Let v(m) = 1102*m**2 + 2. Let z be v(-1). Let i be (z/28 - 0) + 6/(-14). What is the third derivative of -23 - 16 + i + 9*u**6 + 3*u**2 wrt u?
1080*u**3
What is the first derivative of 1298 + 148744*z**2 + 1026 - 148894*z**2 + 2*z - 714 wrt z?
-300*z + 2
Let j = 0 + 7. Let q(h) = 3*h - 18. Let r be q(j). What is the second derivative of -9*c - 11*c**3 - 9*c**3 - 2*c - r*c**3 wrt c?
-138*c
Let a(r) = -2*r**2 - 8*r + 1. Let n(c) = 1906*c**2 - 50*c - 2438. Let o(v) = 6*a(v) - n(v). Differentiate o(h) with respect to h.
-3836*h + 2
Let a be (-5 - (-119)/28)/(1/(-56)). Let p be (-9)/((-1)/(2/2)). What is the first derivative of -p + 45*u**3 - 92*u**3 + a*u**3 wrt u?
-15*u**2
Let h(c) be the first derivative of 7*c**2 - 1/3*c**4 + 0*c**3 + 15 - 14*c. Let s(z) be the first derivative of h(z). Find the first derivative of s(d) wrt d.
-8*d
Suppose -32 + 23 = -3*o. Suppose 0 = r - 0 - o, -5*s + r + 17 = 0. Differentiate 30*f + 1 - 12*f - s with respect to f.
18
Let n(l) = -1729*l**2 - 29*l - 15673. Let b(t) = 574*t**2 + 11*t + 5224. Let c(r) = -8*b(r) - 3*n(r). What is the second derivative of c(x) wrt x?
1190
Differentiate -1821 + 2993*f**2 - 2664*f**2 + f + f - 2012*f**2 wrt f.
-3366*f + 2
Let k(j) be the first derivative of -1322*j**2 - 746*j + 3267. Differentiate k(q) wrt q.
-2644
Let w = 1365 - 1322. Let p be (-32)/12*(-9)/6. Differentiate p*k**4 - w - 6 + 9 with respect to k.
16*k**3
Let v(s) be the first derivative of 752*s**3 + 17*s**2 + 8*s + 1568. Find the second derivative of v(c) wrt c.
4512
Find the first derivative of -1590 - 2557 - 1175 - 8743*x - 1656 - 1041 wrt x.
-8743
Find the third derivative of 1910*t**2 - 1217*t**2 - 3 + 3 - 2030*t**5 wrt t.
-121800*t**2
Let x(j) = -8*j + 92. Let w be x(9). Differentiate -23*m - 51*m + w*m - 23*m - 61 wrt m.
-77
Let t = -50 + 60. Suppose -53 = 5*x - 148. What is the second derivative of 10*j + t*j**3 + 19*j**3 - 63*j**3 + x*j**3 wrt j?
-90*j
Suppose 4*x - 240 = 4*w, -4*x + 208 = 7*w - 3*w. Find the third derivative of 57 - 30 + x*b**2 + 59*b**5 - 27 wrt b.
3540*b**2
What is the third derivative of 90429*j**5 - 181178*j**5 - 3*j**4 + j**2 + 44 + 90292*j**5 wrt j?
-27420*j**2 - 72*j
Let m(s) = -1035*s**4 + 4*s**3 + 4*s - 173. Let j(h) = -h**4 - h**3 - h - 1. Let n(z) = -4*j(z) - m(z). Differentiate n(u) wrt u.
4156*u**3
Let f(u) = u**3 + 8*u**2 - u - 4. Let v be f(-8). Suppose 0 = 2*j - v*t - 18, -4*j + 9*j - 9 = -2*t. Differentiate -5 - 6*z**j - 8*z**3 - 5 + 3 wrt z.
-42*z**2
Suppose p + 1 = 19. Find the third derivative of 6 + 1 + 29*f**3 + p*f**2 - 9 - 81*f**3