74*y
Let d(c) be the third derivative of 33*c**7/14 + 55*c**3/6 - 20*c**2 + 1. What is the derivative of d(w) wrt w?
1980*w**3
Let a(t) be the first derivative of t**7/280 + t**4/12 - 3*t**3 - 26. Let y(d) be the third derivative of a(d). Find the first derivative of y(p) wrt p.
9*p**2
Let w(l) be the second derivative of 17*l**7/42 - l**4/12 - 73*l**3/6 + 45*l. Find the second derivative of w(p) wrt p.
340*p**3 - 2
Let m(c) be the third derivative of -16*c**7/21 + 20*c**4/3 - 22*c**2 - 3. Find the second derivative of m(q) wrt q.
-1920*q**2
What is the third derivative of 53*y**2 - 3*y + 0*y**2 - 62*y**6 + y - 67*y**6 wrt y?
-15480*y**3
Let g(u) = -1. Suppose -5 + 1 = -4*a. Suppose -9 = -2*b - a. Let c(d) = 4*d + 3. Let p(y) = b*g(y) + 2*c(y). Find the first derivative of p(l) wrt l.
8
Let b(u) = u**2 - 2*u - 11. Let n be b(7). Let o = -12 + n. What is the second derivative of 6*q**3 + o*q - 26*q + 11*q wrt q?
36*q
Find the third derivative of 0*b**2 - 5 + 4*b**2 + 813*b**5 - 661*b**5 - 3*b**2 wrt b.
9120*b**2
Let z(d) = 188*d**3 + 6*d**2 - 6*d - 192. Let y(s) = -374*s**3 - 13*s**2 + 13*s + 385. Let g(p) = 6*y(p) + 13*z(p). Find the first derivative of g(t) wrt t.
600*t**2
Let x(m) be the first derivative of m**6/3 + 49*m**5/5 - 5*m**2/2 + 22*m + 130. What is the second derivative of x(f) wrt f?
40*f**3 + 588*f**2
Let s(j) be the third derivative of j**7/105 - 2*j**5 + 23*j**3/2 - 140*j**2. What is the first derivative of s(i) wrt i?
8*i**3 - 240*i
Let w(m) = -m**3 - 7*m**2 - 2. Let x(t) = t**3 + t**2. Suppose -4*y + 45 + 11 = 0. Let a(z) = y*x(z) + 2*w(z). Differentiate a(f) with respect to f.
36*f**2
Let u(v) be the third derivative of -7*v**5/60 - v**4/24 + 9*v**3/2 + 43*v**2. Find the first derivative of u(g) wrt g.
-14*g - 1
Let o(p) = 64*p**4 + 6*p**2 - 39. Let v(i) = 128*i**4 + 13*i**2 - 79. Let b(g) = 13*o(g) - 6*v(g). Differentiate b(x) with respect to x.
256*x**3
Let y(w) be the second derivative of -227*w**5/20 + w**4/6 + 7*w**2/2 - 2*w + 13. Find the third derivative of y(n) wrt n.
-1362
Find the third derivative of 7*w**4 - 9*w**4 - 84*w**2 + 4*w**3 + 18*w**4 + 0*w**3 - w**3 wrt w.
384*w + 18
Let y(b) = -2 - 68*b**2 + 21 + 98*b**2 - 2*b. Let p(t) = 59*t**2 - 5*t + 38. Let j(r) = -2*p(r) + 5*y(r). What is the derivative of j(c) wrt c?
64*c
Let w be (49/14)/(-7)*-2*5. What is the third derivative of 0*r**2 + 2*r**2 - 2391*r**w + 2411*r**5 wrt r?
1200*r**2
Let g(r) be the first derivative of -266*r**3/3 - 36*r**2 - 243. What is the second derivative of g(v) wrt v?
-532
Let l = 5 - -1. Let v = -6 + l. Find the third derivative of 2*g - 2*g + v*g - 7*g**2 - g**6 wrt g.
-120*g**3
Suppose 0 = -5*l - 3*u + 6*u + 16, 29 = 4*l + 3*u. What is the third derivative of 3*a + 477*a**2 - 448*a**2 - 3*a - 22*a**l wrt a?
-1320*a**2
What is the second derivative of 45*h**3 + 277*h + 44*h**3 - 2*h**2 - 77*h**3 wrt h?
72*h - 4
Let j(n) be the third derivative of -5*n**4/12 - 13*n**3 - 115*n**2 + 1. What is the first derivative of j(p) wrt p?
-10
Suppose -373*w + 357*w + 48 = 0. Let p(d) be the third derivative of -9*d**2 + 0 - 1/24*d**4 + 0*d - d**w. Differentiate p(v) wrt v.
-1
Let b(m) = -45*m**4 - 7*m**2 - 4*m + 3. Let t(u) = 2*u**4 + u + 1. Let x(k) = b(k) + 4*t(k). Find the third derivative of x(a) wrt a.
-888*a
Suppose t - 3*t = -2. Let w(m) = -2*m**2 - 30*m + 7. Let c be w(-15). Differentiate -3 + t - 4 + c*j wrt j.
7
Let i be (-1 + (-1)/5)*10/(-4). Find the third derivative of -i*b**2 + 7*b**4 - 7*b**2 - 2 + 2 wrt b.
168*b
Let n(b) = -11*b**3 - b**2. Let q be n(-1). Let v(i) = -57*i - 41. Let f be v(-1). What is the first derivative of -f - 12 + 18 + q*l wrt l?
10
Let t be ((-7)/4)/((-2)/8). Find the third derivative of -74 + 74 - 27*v**2 + t*v**4 wrt v.
168*v
Let l(d) be the first derivative of -5*d**4/4 + 14*d**3/3 + 232*d + 319. Differentiate l(n) wrt n.
-15*n**2 + 28*n
What is the second derivative of 74*z + 19765 + 187*z**2 - 19765 wrt z?
374
Find the third derivative of 40*r**2 + 41*r + 46*r**2 - 88*r**2 - 6*r + 212*r**6 wrt r.
25440*r**3
Suppose 25*a + 4 = 21*a. Let o(s) = s**2 - s - 1. Let z(r) = 5*r**3 + 14*r**2 + 2*r + 2. Let w(x) = a*z(x) - 2*o(x). What is the third derivative of w(v) wrt v?
-30
Let h(m) be the third derivative of 0*m**4 + 0*m**6 + 0 - 1/30*m**5 + 0*m + 0*m**7 + 0*m**3 - 1/21*m**8 - 13*m**2. Find the third derivative of h(l) wrt l.
-960*l**2
Let s(g) be the third derivative of g**6/20 - 3*g**5/20 + g**4/3 + 3*g**3 + 14*g**2 + 4*g. Find the second derivative of s(h) wrt h.
36*h - 18
Let u(l) = -2*l**2 - 8*l + 10. Let r = -144 + 141. Let v(n) = -3*n**2 - 7*n + 8. Let a(m) = r*u(m) + 4*v(m). Differentiate a(w) wrt w.
-12*w - 4
What is the second derivative of -3*w + 25*w**2 + 4*w + 32*w wrt w?
50
Let d(z) be the second derivative of 9/5*z**5 + 0*z**3 + 20*z + 0*z**2 + 3/2*z**4 + 0. Find the third derivative of d(r) wrt r.
216
Let p(o) = -44*o**2 + 38. Let y(r) = 88*r**2 - 76. Let q(v) = 7*p(v) + 4*y(v). Differentiate q(d) wrt d.
88*d
Find the second derivative of 469*l**4 + 27 - 52 + 188*l**4 + 492*l - 491*l wrt l.
7884*l**2
Let x(w) = w**3 - 8*w**2 - 9*w + 4. Let j = 40 - 31. Let o be x(j). Find the first derivative of 3*k + 9 - 12*k - o wrt k.
-9
Let r(x) = -x - 15. Let g be r(-9). Let o be (4 - 7)/(9/g). What is the derivative of o - 4*p**3 - 2*p**3 - 2*p**3 wrt p?
-24*p**2
Let d(x) be the second derivative of -3/28*x**8 + 0*x**5 + 0*x**3 + 0*x**7 - 1/12*x**4 - 8*x + 0 + 0*x**6 + 0*x**2. What is the third derivative of d(f) wrt f?
-720*f**3
Suppose -5*l = -5*w - 20, 14 = 3*l + 2*l + w. Differentiate 7*t**4 - 102*t**3 - 3*t**4 + 102*t**l - 4 with respect to t.
16*t**3
Let v(w) = 199*w + 1 - 96*w - 98*w. Suppose 0 = 3*m - 2*m + 34. Let t(p) = p. Let z(c) = m*t(c) + 6*v(c). What is the derivative of z(a) wrt a?
-4
Let h(f) be the second derivative of -f**6/10 - 13*f**4/8 + 8*f**2 - 4*f. Let v(u) be the first derivative of h(u). What is the second derivative of v(k) wrt k?
-72*k
Let v(n) = n**4 - n**3 - n. Let g(r) = 2*r**4 - 23*r**3 + 109*r**2 - 3*r. Let d(o) = g(o) - 3*v(o). What is the third derivative of d(p) wrt p?
-24*p - 120
Let n(r) = 21*r**3 - 6*r**2 + 6*r - 18. Let i(h) = -h**2 + h. Let y(l) = 6*i(l) - n(l). What is the first derivative of y(u) wrt u?
-63*u**2
Find the third derivative of -3*o**5 - 5564*o - 20*o**3 - 15*o**2 + 5564*o + 5 wrt o.
-180*o**2 - 120
Suppose -2 = -l + 1. Suppose 5*g - 10 = -l*b - 4, -5*g - 10 = -5*b. Differentiate -b + 5 + 3*y**4 - 5 with respect to y.
12*y**3
What is the second derivative of 10*c**5 - 9*c**4 + 0*c**4 - 6*c**4 + 7 + 0*c**5 - 21*c**5 + 2*c wrt c?
-220*c**3 - 180*c**2
Let z(x) be the third derivative of 8/105*x**7 + 4/15*x**5 + 0*x**3 + 13*x**2 + 0 + 0*x**4 + 0*x**6 + 0*x. What is the third derivative of z(v) wrt v?
384*v
Let t(b) = b**2 + 9*b + 15. Let x be t(-6). Let p = x - -7. What is the second derivative of p*r - 5*r**4 + 3*r**4 + r wrt r?
-24*r**2
Let l(s) be the third derivative of 37*s**5/30 - 25*s**4/24 - s**3/3 + 84*s**2. What is the second derivative of l(w) wrt w?
148
Let t(f) = -115*f**4 + 2*f**2 - 235. Let y(d) = 116*d**4 - 3*d**2 + 236. Let a(h) = -5*t(h) - 4*y(h). What is the derivative of a(z) wrt z?
444*z**3 + 4*z
What is the second derivative of 23*z**2 - 1218 + 105*z**2 + 1221 - 30*z wrt z?
256
Suppose 16 = 3*m + m. Suppose 117 = 17*u - 36. Differentiate 19*t - 19*t - 8*t**m - u + 1 wrt t.
-32*t**3
Let q = 48 - 44. What is the third derivative of 2*h**2 - 3*h**4 - 6*h**q + 10*h**2 wrt h?
-216*h
What is the third derivative of -5*h**2 - 7*h**2 - 89*h**3 + 3*h**2 + 8*h**2 + 40*h wrt h?
-534
Let q(o) = -o - 9*o + 11*o. Let h(k) = 22*k**2 + 2*k + 8. Let w(l) = h(l) - 2*q(l). What is the first derivative of w(b) wrt b?
44*b
What is the second derivative of -o**3 + 270*o - 14069*o**2 + 14069*o**2 + 21*o**4 wrt o?
252*o**2 - 6*o
Find the third derivative of 3*b - 797*b**6 - b**2 + 4*b - 205*b + 412*b**6 wrt b.
-46200*b**3
Let a(z) be the second derivative of -z**8/28 - z**4/12 + 57*z**2 - 8*z + 9. What is the third derivative of a(o) wrt o?
-240*o**3
Let p(f) be the first derivative of 41*f**6/2 - 428*f**3/3 - 79. Find the third derivative of p(y) wrt y.
7380*y**2
Let z(u) be the first derivative of 8 + 6*u - 12*u - u - 7*u**2. Differentiate z(x) wi