 wrt u.
-3574
Let g(x) = 7*x**3 + x**2 - x. Let i(b) = 2381*b**3 + 4*b**2 + 3344*b + 1. Let y(a) = -6*g(a) + i(a). What is the third derivative of y(u) wrt u?
14034
Let v(z) = -z**4 - z**3 + 7*z + 1. Let g(s) = 5*s**3 - 49*s**2 - 37*s + 2612. Let u(l) = -g(l) - 5*v(l). Find the first derivative of u(i) wrt i.
20*i**3 + 98*i + 2
Let y(h) = 16*h**3 - 1831*h**2 - 116*h + 7. Let a(z) = 7*z**3 - 915*z**2 - 58*z + 3. Let g(r) = 7*a(r) - 3*y(r). What is the second derivative of g(p) wrt p?
6*p - 1824
Let v(n) = 53*n**2 + n. Let j = -118 + 117. Let x be v(j). What is the first derivative of 5 - x + 4*d**2 - 9*d**2 + 6*d**4 wrt d?
24*d**3 - 10*d
Find the third derivative of 100*n**2 - 96*n**2 - 103*n**2 - 4631*n**3 + n**5 + 5*n + 445*n**2 wrt n.
60*n**2 - 27786
Let k(x) be the first derivative of 0*x**5 + 0*x + 159 + 0*x**4 - 2/3*x**3 + 21*x**2 + 37/2*x**6. Find the third derivative of k(h) wrt h.
6660*h**2
Suppose -2*o + 3*s = 4*s + 3, o - 3*s - 9 = 0. Suppose a + o*a - 682 = 0. What is the third derivative of 2*q**2 + 17*q**6 + 682*q**5 - a*q**5 wrt q?
2040*q**3
Suppose 16 - 28 = -3*s. Find the third derivative of -3*r**6 + 2618*r**s + 6*r**6 - 78*r**2 - 2615*r**4 wrt r.
360*r**3 + 72*r
What is the third derivative of -866*x**2 - 539*x**5 + 1041153 - 1041153 wrt x?
-32340*x**2
Suppose 6*w = 22*w + 1472. Let c = 109 + w. What is the first derivative of -c - 11 - 23 - 33*o + 23 wrt o?
-33
Suppose 3*h = 5*y + 335, -4*y - 428 = -4*h + 16. Suppose 19 - h = -7*u. Differentiate 36 + 24*j**4 + u*j**4 + 10*j**4 wrt j.
188*j**3
Let l(o) be the second derivative of 2653*o**6/15 + 3113*o**4/12 - 2920*o. Find the third derivative of l(x) wrt x.
127344*x
Let x(y) = -835*y**2 - 54*y + 1299. Let f(j) = 1044*j**2 + 68*j - 1624. Let g(t) = 11*f(t) + 14*x(t). Differentiate g(o) with respect to o.
-412*o - 8
Let d(g) be the second derivative of 109/2*g**2 + 11/6*g**3 + 76*g - 1/3*g**4 + 0. Find the first derivative of d(p) wrt p.
-8*p + 11
Let h(l) be the third derivative of 2587*l**8/336 - 17*l**5/60 + 7*l**4/6 - l**3/3 + l**2 - 2*l - 10. What is the third derivative of h(y) wrt y?
155220*y**2
What is the first derivative of -497*v**3 + 2*v**2 + 1538*v**3 - 6*v**2 - 491*v**3 - 517*v**3 + 3*v + 1715 wrt v?
99*v**2 - 8*v + 3
Differentiate -29*f + 1489 + 2465*f + 127 + 1855 wrt f.
2436
Find the second derivative of 137 - 1604*y + 1543*y**2 - 137 - 173*y - 429*y**2 wrt y.
2228
Let o(u) be the first derivative of u**2 - 18*u - 38. Let f be o(10). What is the third derivative of -6*x**3 + 159*x**2 - 130*x**f + 0*x**3 wrt x?
-36
Let t(y) be the second derivative of -443*y**5/10 - 577*y**4/3 - 27*y + 19. What is the third derivative of t(q) wrt q?
-5316
Find the second derivative of -714618*g**2 - 714685*g**2 + 1429229*g**2 - 16*g**3 - 131 - 4*g wrt g.
-96*g - 148
Find the second derivative of -186*z - 50 + 858*z**2 + 152 + 179*z wrt z.
1716
Let p = -52 + 52. Suppose -48*r + 43*r + 40 = p. What is the third derivative of -4 + 4 - r*l**5 - 24*l**2 + 22*l**2 wrt l?
-480*l**2
What is the first derivative of -23056*y - 70 + 23105*y + 10*y**4 - 1284 wrt y?
40*y**3 + 49
Let p(d) be the third derivative of 397*d**5/10 - 113*d**4/3 - d**3/3 - 2*d**2 - 84. Find the second derivative of p(n) wrt n.
4764
Suppose 3 = -w, 8*w - 7*w + 1 = -s. Let d(q) be the first derivative of 0*q + 0*q**3 - 23/2*q**s + 9/2*q**4 + 3. What is the second derivative of d(u) wrt u?
108*u
Suppose 5*n = 5*d + 235, 0 = -n + 4*n - 2*d - 144. What is the second derivative of -9*p**4 - p - 45 - p + 65 + n*p**4 wrt p?
492*p**2
Let z be 68/(-14) + 173/(-1211). Let l = -8 + 6. Let i(x) = -14*x - 15. Let v(y) = 8*y + 8. Let m(b) = l*i(b) + z*v(b). Find the first derivative of m(c) wrt c.
-12
Let j be ((-5)/(0 + -5))/((-2)/(-10)). Suppose x - 21 = -2*i, -4*i - j*x + 55 = i. Differentiate 74*t**2 + 15 - 43*t**2 - 6 - i*t**2 wrt t.
42*t
Let z = -66 + 76. Differentiate 17 + z*r - 20 - 16 wrt r.
10
Let u(v) be the first derivative of -3*v**5/5 - 493*v**2/2 + 2017*v - 158. Find the first derivative of u(d) wrt d.
-12*d**3 - 493
Let j(k) = 6*k**3 - 8*k**2 + 3. Let u(s) = -s**3 + s**2. Let x(c) = -j(c) - 5*u(c). Let t be x(2). Differentiate 6*o + 3 - 7 - 9 - t wrt o.
6
What is the second derivative of 121*n**4 - 115*n**4 - n**2 + 86*n - 14*n**3 + 49*n**3 + 128*n**3 wrt n?
72*n**2 + 978*n - 2
Suppose -5*l + 20 = 3*r, 2*r + 2*l + 13 = 33. Suppose 6 + r = 3*q. What is the second derivative of -763 - 2*g**5 - q*g + 5*g**5 + 763 wrt g?
60*g**3
Let h = 776 + -750. Let d be (-180)/(-8) + (-3)/(-2). What is the third derivative of h*m**2 - d*m**6 - 19 + 19 wrt m?
-2880*m**3
Let q(m) be the second derivative of 0*m**3 + m**2 + 0*m**7 - 5/28*m**8 + 1/10*m**5 + 2*m + 59 - 13/4*m**4 + 0*m**6. Find the third derivative of q(b) wrt b.
-1200*b**3 + 12
Let j(r) = 1725*r**2 + 1688*r + 156. Let i(p) = 1726*p**2 + 1689*p + 104. Let n(b) = 3*i(b) - 2*j(b). What is the second derivative of n(s) wrt s?
3456
Differentiate 2754*v - 2754*v + 11*v**2 - 885 - 26*v**3 wrt v.
-78*v**2 + 22*v
Let q(g) be the second derivative of -113*g**3/6 + 4621*g**2/2 + 87*g + 6. Differentiate q(r) wrt r.
-113
Let n(z) be the second derivative of -2027*z**6/6 - 6999*z**2/2 - 9626*z + 2. Differentiate n(h) with respect to h.
-40540*h**3
Let w(m) be the first derivative of 7725*m**2/2 - 7342*m + 6019. What is the first derivative of w(h) wrt h?
7725
Differentiate 763*l**3 + 240*l**4 + 577*l**2 - 763*l**3 - 576*l**2 - 1133 wrt l.
960*l**3 + 2*l
Let d be (-18)/18 - (16 + 0). Let k(b) = 2*b + 38. Let n be k(d). What is the third derivative of -137*m**4 + 4*m**2 + 142*m**n + 10*m**2 wrt m?
120*m
Let p(u) = 1876*u - 10698. Let v(m) = -375*m + 2138. Let n(h) = 2*p(h) + 11*v(h). What is the derivative of n(j) wrt j?
-373
What is the derivative of 533 - 3*t + 166*t - 2103 + 2322*t - 941 wrt t?
2485
Find the second derivative of -16*h**2 - 65 + 22*h + 127 - 77 - 46*h**2 + 13*h wrt h.
-124
Let u(g) be the third derivative of 8/5*g**5 + 0*g**3 + 0*g + 0 + 0*g**4 + 69*g**2 - 1/10*g**6. What is the third derivative of u(d) wrt d?
-72
Let i = -5517 - -16561/3. Let d(s) be the first derivative of 0*s + 0*s**5 - 20/3*s**3 + i*s**6 + 0*s**4 + 0*s**2 + 23. Find the third derivative of d(v) wrt v.
1200*v**2
Suppose -5*x = -117 + 102. What is the third derivative of 26*w**2 - 3*w**3 - 33*w**x + 63*w**2 wrt w?
-216
Let j(t) be the first derivative of -766*t**6/3 - 243*t**2/2 + 2*t - 15. Find the second derivative of j(o) wrt o.
-30640*o**3
Let z = 48 + -41. Let a(o) = o**3 - 6*o**2 + 2*o + 24. Let t be a(z). Find the third derivative of g**2 + 48*g**4 - t*g**4 - 7*g**4 wrt g.
-1104*g
What is the second derivative of 1 - 1959*n - n**3 + 4*n**3 - 10*n**3 - 49*n**2 + 33*n**2 - 5*n**3 wrt n?
-72*n - 32
Differentiate -5868*s**4 - 6302*s**4 + 13407*s**4 + 1444 wrt s.
4948*s**3
What is the first derivative of 42 - 9*u + 494 + 6*u - 4910*u**2 + 3*u wrt u?
-9820*u
Find the third derivative of -18*w**2 - 18*w**2 - 455*w**6 - 398*w**6 + 35*w**2 - 165*w**6 - 181*w wrt w.
-122160*w**3
Suppose 0 = -g - 4*y + 42, -4*g = 3*y - y - 210. What is the derivative of 54*r**2 - r - g*r**2 + 2*r**4 + 36 wrt r?
8*r**3 - 1
What is the derivative of -57 - 1251*q**4 - 161 - 1417*q**4 - 86 wrt q?
-10672*q**3
Find the third derivative of 8690*f**6 - 8685*f**6 - 78*f**2 + 11*f**3 - 6*f + 0*f**3 - 4*f**4 wrt f.
600*f**3 - 96*f + 66
Suppose x + 12 = 2*b - 0*b, 2*x + 16 = 3*b. Suppose -p - b*p + 63 = 0. What is the first derivative of 14 - p - 2 + 0*a**3 - a**3 wrt a?
-3*a**2
Let x = 495 - 383. What is the third derivative of 99*m**4 + x*m**4 - 121*m**2 - 50*m**4 - 82*m**2 wrt m?
3864*m
Find the second derivative of 160259*j**2 - 39*j**5 - j - 9*j**3 + 2238 - 160259*j**2 wrt j.
-780*j**3 - 54*j
Let h(b) = 85*b - 86. Suppose 2*k = -2*g + 12, -5*g + 1 = 3*k - 11. Let a(s) = -43*s + 42. Let t(m) = k*a(m) + 4*h(m). Find the first derivative of t(v) wrt v.
-47
Let u = -13 + 10. Let n be (-24)/9*1*u/2. Find the second derivative of -35*x**4 + 12*x + 19*x + x**n wrt x.
-408*x**2
Let i = 56 + -40. Suppose -u = -14 - i. Find the first derivative of -u + 0 - 5*n**4 - 7*n**4 wrt n.
-48*n**3
Find the third derivative of 49*a**2 + 57*a**3 - 35*a**2 + 62*a**3 + 15*a - 118*a**3 + 14*a**2 + 1053*a**5 wrt a.
63180*a**2 + 6
Let u(g) = -32*