
-5508
Suppose -5*r = -u + 54 + 46, u = -3*r + 124. Find the second derivative of -6*p + 37 + 3*p + u*p**2 + 31 + 2*p wrt p.
230
Let a(f) = -f + 39. Let g = -25 - -38. Suppose -h + 2 = g. Let x(m) = -4*m + 118. Let k(n) = h*a(n) + 4*x(n). Find the first derivative of k(c) wrt c.
-5
Let q(x) be the first derivative of 0*x**3 - 79 - x**2 + 0*x**4 + 8/5*x**5 - 20*x. Find the second derivative of q(s) wrt s.
96*s**2
Let i(p) = -25*p**2 - 15*p - 211. Let u(r) = 2*r**2 - 2*r - 2. Let m(n) = i(n) - 3*u(n). Differentiate m(b) with respect to b.
-62*b - 9
Let v(a) = a**3 + 18*a**2 - 17*a + 40. Let y be v(-19). Let q(u) be the second derivative of 8/3*u**3 + 0 + 9*u**y - 8*u. Differentiate q(c) wrt c.
16
Let o(b) be the first derivative of -b**5/3 + 15*b**4/4 + 52*b**3/3 + 68. Let f(k) be the third derivative of o(k). Differentiate f(v) with respect to v.
-40
Let q(d) = 1466*d**2 + 15*d - 3512. Let v(z) = z**2 - z + 1. Let t(x) = q(x) + 13*v(x). Differentiate t(c) with respect to c.
2958*c + 2
Let l(r) be the second derivative of -677*r**6/30 - 539*r**4/6 - r - 68. Find the third derivative of l(d) wrt d.
-16248*d
Find the second derivative of -28*r**3 - 208*r**4 - 3664*r + 206*r**4 - 31*r**3 + 2*r**2 + 42*r**3 wrt r.
-24*r**2 - 102*r + 4
What is the third derivative of -51*v + 145*v**5 - 193*v**5 + 4053*v**6 - 4051*v**6 - 1297*v**5 - 14*v**2 wrt v?
240*v**3 - 80700*v**2
Suppose -3*z + 3*b = 27, 2*z - 4*b = 3*z - 11. Let g = 10 - z. What is the second derivative of -g + 11*t**2 + 17*t + 15 wrt t?
22
Let v(p) be the third derivative of -1 + 0*p - 6*p**2 + 7/12*p**4 - 50/3*p**3. Differentiate v(r) wrt r.
14
Suppose -27 = -18*b + 27. Find the second derivative of 4*z**2 + 59*z**b - 114*z**3 + 3 - 3 + 45*z**3 + 33*z wrt z.
-60*z + 8
Let w(v) be the first derivative of -3921*v**2/2 - 3958*v + 1908. Differentiate w(t) wrt t.
-3921
Let i = 543 + -501. Find the third derivative of 23*p**3 - 246*p**2 + 276*p**3 + 16*p**2 - i*p**3 wrt p.
1542
What is the second derivative of 82 + 542*v - 191 + 110 + 1452*v**5 wrt v?
29040*v**3
Suppose 0 = v + 300 - 319. Find the first derivative of -157*t**4 + t + 49*t**4 - 71 + v wrt t.
-432*t**3 + 1
Find the second derivative of 16*u**2 - 220*u - 827*u + 2*u**2 wrt u.
36
Suppose -106 = m - 3*v, -2*m + 6*m = 4*v - 408. Let j = m + 105. Find the third derivative of 5*a**3 - 24*a**2 - 4*a**3 - 18*a**j - a**3 wrt a.
-1080*a**2
Suppose -n - 2 = -5*x, 11*n - 8*n - 7 = 2*x. Differentiate 127 - 320 - 917*z**3 + 873*z**n with respect to z.
-132*z**2
Suppose -4*y + 409 = b, -13*b - 109 = -y - 11*b. What is the first derivative of 349*w - 165 + 404*w - 812*w - y wrt w?
-59
Let i(w) = 3773*w**4 + 3*w**2 + 77*w + 20. Let h(m) = -3772*m**4 - 3*m**2 - 78*m - 25. Let k(a) = 4*h(a) + 5*i(a). What is the third derivative of k(p) wrt p?
90648*p
Let y(b) be the first derivative of 451*b**4/4 + 169*b**3/3 - 660. Find the third derivative of y(g) wrt g.
2706
Let f(c) be the third derivative of 19*c**6/40 - 65*c**4/24 - 1511*c**3/6 + 2*c**2 + 1012*c - 2. Differentiate f(v) with respect to v.
171*v**2 - 65
Suppose 28*t - 4 = 26*t. Find the third derivative of -26*u**t - 8*u**3 - 37*u**2 + 120*u**2 wrt u.
-48
Find the third derivative of 3*a - 1263*a**2 + 119*a**2 - 356*a**3 + 405*a**2 - 3*a wrt a.
-2136
Suppose 4*s + 3*a - 16 = 2*a, -3*s = -3*a - 12. Let d be (-1)/(-2) + (-2)/s + 7. Differentiate d + 7 + 14 - 15*l + l with respect to l.
-14
Let t(u) be the second derivative of -2/5*u**6 + 0*u**5 - 1/21*u**7 - 4 + 0*u**2 - 6*u - 11/6*u**3 + 0*u**4. Find the second derivative of t(i) wrt i.
-40*i**3 - 144*i**2
Let z(b) be the second derivative of -b**6/30 + 281*b**4/3 - 410*b**3 - 924*b. What is the second derivative of z(j) wrt j?
-12*j**2 + 2248
Let u(x) = -5750*x**3 - 51*x - 2751. Let w(k) = 1438*k**3 + 12*k + 688. Let o(i) = -4*u(i) - 17*w(i). Differentiate o(s) with respect to s.
-4338*s**2
Let o be ((64/(-40))/(-4))/((-4)/(-30)). Find the second derivative of 40*z**2 - 15*z**4 + z - 84*z**2 + 66 + 3*z**o + 44*z**2 wrt z.
-180*z**2 + 18*z
Let z = -71 - -39. Let s = z - -34. Find the third derivative of 5*m**6 + 0*m**2 - 15*m**6 + 5*m**2 - 3*m**s wrt m.
-1200*m**3
Let r(b) be the first derivative of -253*b**4/4 + 66*b**2 - b + 419. Find the second derivative of r(k) wrt k.
-1518*k
What is the first derivative of 13361*w - 15471*w + 4395 - 1834 wrt w?
-2110
Let d = -4 - -9. Let v(r) = 11*r + 3. Let l(p) = 2 + 2*p + 39*p - 31*p. Let n(s) = d*v(s) - 4*l(s). Find the first derivative of n(c) wrt c.
15
Let l(p) be the first derivative of 318*p**4 - 141*p - 2512. Differentiate l(n) with respect to n.
3816*n**2
Find the first derivative of 9*h**4 + 148 - 529*h**4 - 143*h**4 wrt h.
-2652*h**3
Let j(i) = -340*i**2 - 4*i - 2769. Let s(x) = -1019*x**2 - 11*x - 8303. Let o(d) = -11*j(d) + 4*s(d). What is the first derivative of o(c) wrt c?
-672*c
Let z(t) be the first derivative of 221*t**4/4 - 928*t + 937. Differentiate z(u) with respect to u.
663*u**2
Let g = -9 - -9. Suppose -5*t - 22 = -2*n, g*n + 8 = n - 4*t. Find the second derivative of n*u**2 - 5*u**3 + 14*u - 16*u**2 wrt u.
-30*u
Let h(k) be the first derivative of -1220*k**4 + 1588*k**3 - 4521. Find the third derivative of h(y) wrt y.
-29280
Let k(i) be the second derivative of 5/2*i**4 - 12/5*i**5 + 0 + 0*i**3 - i**2 - 62*i. Find the third derivative of k(c) wrt c.
-288
Let k be (3 - 18/5)*(-163 + -2). Differentiate -3*x**2 - k*x**2 + 21*x**2 + 39*x**2 - 99 wrt x.
-84*x
What is the second derivative of -702 - 1730 - 2593 + 2739*s**3 + 576 + s wrt s?
16434*s
Let s(z) be the third derivative of -z**5/10 - 19*z**4/24 - 3133*z**3/3 - 4*z**2 - 3*z - 2. Find the first derivative of s(d) wrt d.
-12*d - 19
Let v(y) be the second derivative of 757*y**5/20 - 227*y**3/6 - 121*y. What is the second derivative of v(a) wrt a?
4542*a
Suppose 3 = 3*v - 3. What is the derivative of -38 + 55 - 53 + 33*s**v wrt s?
66*s
Let t(o) be the second derivative of 0*o**6 - 1/21*o**7 - 11/2*o**3 + 2/5*o**5 - 20*o + 0*o**2 - 2 + 0*o**4. Find the second derivative of t(f) wrt f.
-40*f**3 + 48*f
Let m(t) be the third derivative of 0*t**3 + 0*t + 17/24*t**4 - 5/8*t**8 - 34 + 1/30*t**5 + 0*t**6 + 3*t**2 + 0*t**7. Find the third derivative of m(u) wrt u.
-12600*u**2
Let q be 13/39*42/2. Let p = -19 - -34. What is the derivative of -6*f - p + 3 - q*f wrt f?
-13
Let p(i) = 2*i**2 + 6*i - 64. Let a(h) = 6*h**2 + 19*h - h - 78 - 4 - 112. Let x(z) = -3*a(z) + 8*p(z). What is the first derivative of x(s) wrt s?
-4*s - 6
Suppose -82 - 206 = -6*h. What is the third derivative of -115*f**3 - 1 - h*f**2 + 1 + 80*f**3 wrt f?
-210
Let z(i) = 2338*i**3 - 5*i**2 + 78*i + 86. Let o(k) = -k**2 + 17. Let j(h) = -5*o(h) + z(h). What is the second derivative of j(a) wrt a?
14028*a
Let n(l) = 370*l**3 + 10*l**2 + 6*l + 780. Let a(s) = 373*s**3 + 8*s**2 + 5*s + 779. Let k(u) = -5*a(u) + 4*n(u). Find the second derivative of k(o) wrt o.
-2310*o
Let p(t) = -309*t**3 + 22*t**2 - 11*t + 505. Let c(x) = x**3 + 2*x**2 - x - 4. Let w(r) = 22*c(r) - 2*p(r). Differentiate w(l) wrt l.
1920*l**2
Let z = -4467 + 4467. Let b(s) be the second derivative of 9/10*s**5 + 13/6*s**3 + 0*s**4 - 14*s + 0*s**2 + z. What is the second derivative of b(j) wrt j?
108*j
Let y(g) be the first derivative of 39/7*g**7 + 11/3*g**3 + 0*g**2 - 3/5*g**5 + 0*g**4 + 0*g**6 + 0*g - 275. What is the third derivative of y(x) wrt x?
4680*x**3 - 72*x
Let y(i) be the first derivative of i**5/5 - 488*i**3 - i**2 + 589*i + 630. Find the second derivative of y(o) wrt o.
12*o**2 - 2928
Let q(u) be the first derivative of 114/5*u**5 - 97 + 0*u**4 - 5*u + 13*u**2 + 0*u**3. Find the second derivative of q(y) wrt y.
1368*y**2
Let w(g) be the second derivative of -3499*g**7/42 + 5825*g**4/12 - 4325*g. What is the third derivative of w(b) wrt b?
-209940*b**2
Suppose -281 + 249 = -2*v. Suppose 0 = 4*o + k - 32, 0*o + 8 = o + k. What is the first derivative of 0*h - o + v*h**3 - 2*h + 2*h wrt h?
48*h**2
Find the third derivative of 3*l**4 - 13*l - 5*l**2 + 120*l**6 + 24*l**4 - 14*l**2 - 14*l - 161*l**6 wrt l.
-4920*l**3 + 648*l
Let o(i) = i - 13. Let r be o(17). Let a(l) be the first derivative of -5*l + 0*l**r - 4*l**4 - 44 + 24. Differentiate a(g) wrt g.
-48*g**2
Let f be ((-1 - -29) + 0)*(-24)/(-48).